Namespaces
Variants
Actions

Difference between revisions of "User:Maximilian Janisch/latexlist/latex/NoNroff/76"

From Encyclopedia of Mathematics
Jump to: navigation, search
(AUTOMATIC EDIT of page 76 out of 77 with 300 lines: Updated image/latex database (currently 22833 images latexified; order by Confidence, ascending: False.)
 
(15 intermediate revisions by 3 users not shown)
Line 1: Line 1:
 
== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t13005099.png ; $D _ { \alpha } + D _ { \alpha } ^ { t }$ ; confidence 0.089
+
1. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t13005099.png ; $D _ { a } + D _ { a^{*} } ^ { t }$ ; confidence 0.089
  
2. https://www.encyclopediaofmath.org/legacyimages/w/w110/w110060/w11006049.png ; $\prod _ { j } H _ { n j } ( \frac { \langle y , f _ { j } \} } { \sqrt { 2 } } )$ ; confidence 0.089
+
2. https://www.encyclopediaofmath.org/legacyimages/w/w110/w110060/w11006049.png ; $\prod _ { j } H _ { n_j } \left( \frac { \langle y ,\, f _ { j } \rangle } { \sqrt { 2 } } \right) ,$ ; confidence 0.089
  
3. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c12021037.png ; $P _ { M } ^ { \prime } ( A _ { m } ) \rightarrow 1$ ; confidence 0.089
+
3. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c12021037.png ; $P _ { m } ^ { \prime } ( A _ { m } ) \rightarrow 1$ ; confidence 0.089
  
4. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011040.png ; $\| H ( u , v ) \| _ { L } 2 _ { \langle R ^ { 2 n } \rangle } = \| u \| _ { L } 2 _ { \langle R ^ { n } } \rangle \| v \| _ { L } 2 _ { \langle R ^ { n } } \rangle$ ; confidence 0.089
+
4. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011040.png ; $\| \mathcal{H} ( u , v ) \| _ { L ^ { 2 } ( \mathbf{R} ^{n}) } = \| u \|_ { L ^ { 2 } ( \mathbf{R} ^{n}) } \| v \| _ { L ^ { 2 } ( \mathbf{R} ^{n}) } ,$ ; confidence 0.089
  
5. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130060/i13006062.png ; $\| F ( x ) \| _ { L } \propto _ { ( R _ { + } ) } + \| F ( x ) \| _ { L ^ { 1 } ( R _ { + } ) } +$ ; confidence 0.088
+
5. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130060/i13006062.png ; $\| F ( x ) \| _ { L^{\infty} ( \mathbf{R} _ { + } ) } + \| F ( x ) \| _ { L ^ { 1 } ( \mathbf{R} _ { + } ) } +$ ; confidence 0.088
  
6. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130010/e1300108.png ; $\alpha _ { 1 } , \dots , a _ { m } \in R$ ; confidence 0.088
+
6. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130010/e1300108.png ; $a _ { 1 } , \dots , a _ { m } \in R$ ; confidence 0.088
  
7. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n06663022.png ; $f \in H _ { p } ^ { r } ( M _ { 1 } , \ldots , M _ { n } ; \Omega ) , \quad M _ { l } > 0$ ; confidence 0.088
+
7. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n06663022.png ; $f \in H _ { p } ^ { r } ( M _ { 1 } , \ldots , M _ { n } ; \Omega ) , \quad M _ { i } > 0,$ ; confidence 0.088
  
8. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022042.png ; $r _ { e . s s } ( T ) \in \sigma _ { ess } ( T )$ ; confidence 0.088
+
8. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022042.png ; $r _ { \text{ess} } ( T ) \in \sigma _ {  \text{ess} ( T )$ ; confidence 0.088
  
9. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e1300308.png ; $\gamma = \left( \begin{array} { l l } { \alpha } & { b } \\ { c } & { d } \end{array} \right) \in GL _ { 2 } ( Q )$ ; confidence 0.088
+
9. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e1300308.png ; $\gamma = \left( \begin{array} { l l } { a } & { b } \\ { c } & { d } \end{array} \right) \in \operatorname { GL} _ { 2 } ( \mathbf{Q} )$ ; confidence 0.088
  
10. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n06663076.png ; $\Omega ^ { k } ( f ^ { ( s ) } , \delta ) = \operatorname { sup } _ { | k | = 10 \leq t \leq \delta } \| \Delta _ { t h } ^ { k } f ^ { ( s ) } \| _ { L _ { p } ( \Omega _ { k t } ) } \leq M \delta ^ { * - s }$ ; confidence 0.088
+
10. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n06663076.png ; $\Omega ^ { k } (\, f ^ { ( s ) } , \delta ) = \operatorname { sup } _ { | h | = 1}  \operatorname { sup }_{0 \leq t \leq \delta } \| \Delta _ { t h } ^ { k }\, f ^ { ( s ) } \| _ { L _ { p } ( \Omega _ { k t } ) } \leq M \delta ^ { r - s }.$ ; confidence 0.088
  
11. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200114.png ; $h ^ { t ^ { 2 } }$ ; confidence 0.088
+
11. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200114.png ; $\mathfrak{h} ^ {e }$ ; confidence 0.088
  
12. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o130060114.png ; $\hat { c } ( \lambda )$ ; confidence 0.088
+
12. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o130060114.png ; $\tilde { \mathfrak{E} } ( \lambda )$ ; confidence 0.088
  
13. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120320/b12032075.png ; $a _ { n } + m = F ( a _ { n } , a _ { n } )$ ; confidence 0.087
+
13. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120320/b12032075.png ; $a _ { n + m} = F ( a _ { n } , a _ { m } )$ ; confidence 0.087
  
14. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120270/c12027017.png ; $\frac { \text { Vol } ( \partial \Omega ) } { \text { Vol } ( \Omega ) } \geq \frac { \mathfrak { c } _ { 1 } } { \operatorname { diam } \Omega } \cdot \omega , \quad \mathfrak { c } _ { 1 } = \frac { 2 \pi \alpha ( n - 1 ) } { \alpha ( n ) }$ ; confidence 0.087
+
14. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120270/c12027017.png ; $\frac { \text { Vol } ( \partial \Omega ) } { \text { Vol } ( \Omega ) } \geq \frac { c _ { 1 } } { \operatorname { diam } \Omega } \cdot \omega , \quad   c_ { 1 } = \frac { 2 \pi \alpha ( n - 1 ) } { \alpha ( n ) },$ ; confidence 0.087
  
15. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130020/q13002041.png ; $N P \Varangle BQP$ ; confidence 0.087
+
15. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130020/q13002041.png ; $\mathcal{NP} \not<  \mathbf{BQP}$ ; confidence 0.087
  
16. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011990/a0119903.png ; $D _ { i }$ ; confidence 0.087
+
16. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011990/a0119903.png ; $p _ { i }$ ; confidence 0.087
  
17. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220112.png ; $\operatorname { det } _ { Q } ^ { - 1 } ( F ^ { i + 1 - m } H _ { DR } ^ { i } ( X / R ) )$ ; confidence 0.087
+
17. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220112.png ; $.\operatorname { det } _ { \text{Q} } ^ { - 1 } ( F ^ { i + 1 - m } H _ { \text{DR} } ^ { i } ( X_{/ \mathbf{R}} ) )$ ; confidence 0.087
  
18. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130040/e13004036.png ; $= ( \Omega _ { + } - 1 ) ( g - \mathfrak { g } ) \psi ( t ) + ( \Omega _ { + } - 1 ) g \mathfrak { v } \psi ( t )$ ; confidence 0.087
+
18. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130040/e13004036.png ; $= ( \Omega _ { + } - 1 ) ( g - g_{0} ) \psi ( t ) + ( \Omega _ { + } - 1 ) _{g_{0}} \psi ( t ),$ ; confidence 0.087
  
19. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018031.png ; $Chn _ { \ell }$ ; confidence 0.087
+
19. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018031.png ; $\operatorname {Cnn} _ { \mathcal{L} }$ ; confidence 0.087
  
20. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b12043077.png ; $\Psi ( x _ { i } \otimes x _ { j } ) = x _ { b } \otimes x _ { k } R ^ { \alpha } \square _ { i } \square ^ { b } \square$ ; confidence 0.087
+
20. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b12043077.png ; $\Psi ( x _ { i } \bigotimes x _ { j } ) = x _ { b } \bigotimes x _ { a } R ^ { a } \square _ { i } \square ^ { b } \square_{j}$ ; confidence 0.087
  
21. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130140/c13014049.png ; $p _ { l , j } ^ { k } = | \{ z \in X : ( x , z ) \in R ; \& ( z , y ) \in R _ { j } \} |$ ; confidence 0.087
+
21. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130140/c13014049.png ; $p _ { i ,\, j } ^ { k } = | \{ z \in X : ( x , z ) \in R _{i}\, \& ( z , y ) \in R _ { j } \} |.$ ; confidence 0.087
  
22. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130410/s13041059.png ; $\frac { Q _ { n } ( z ) } { P _ { n } ^ { \langle \alpha , \beta \rangle } ( z ) } \stackrel { 2 } { \rightarrow } \frac { 2 } { \phi ^ { \prime } ( z ) }$ ; confidence 0.087
+
22. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130410/s13041059.png ; $\frac { Q _ { n } ( z ) } { P _ { n } ^ { ( \alpha , \beta ) } ( z ) } \underset{ \rightarrow } { \rightarrow } \frac { 2 } { \phi ^ { \prime } ( z ) },$ ; confidence 0.087
  
23. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130010/g13001040.png ; $N _ { E } / F ( z ) = z z ^ { q } \ldots z ^ { q ^ { n - 1 } }$ ; confidence 0.087
+
23. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130010/g13001040.png ; $N _ { E / F} ( z ) = z \cdot z ^ { q } \cdot \ldots \cdot z ^ { q ^ { n - 1 } }.$ ; confidence 0.087
  
24. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130570/s13057012.png ; $\sum _ { \operatorname { max } \backslash \leq N } \Delta _ { m } ( f )$ ; confidence 0.086
+
24. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130570/s13057012.png ; $\sum _ { |\mathbf{m \cdot r}| \leq N } \Delta _ { \mathbf{m} } (\, f )$ ; confidence 0.086
  
25. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g13006043.png ; $( \lambda - \alpha _ { j } , i ) x _ { i } = \sum _ { j = 1 \atop j \neq i } ^ { n } \alpha _ { i , j } x _ { j }$ ; confidence 0.086
+
25. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g13006043.png ; $( \lambda - a _ { i , i} ) x _ { i } = \sum _ { j = 1 \atop j \neq i } ^ { n } a _ { i ,\, j } x _ { j }.$ ; confidence 0.086
  
26. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130120/b1301208.png ; $| a _ { \pm } n | \leq a _ { n } ^ { * }$ ; confidence 0.086
+
26. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130120/b1301208.png ; $| a _ { \pm n } | \leq a _ { n } ^ { * }$ ; confidence 0.086
  
27. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120130/b12013072.png ; $\| \hat { u } \| _ { p } \leq c \| u \| _ { p }$ ; confidence 0.086
+
27. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120130/b12013072.png ; $\| \tilde { u } \| _ { p } \leq c \| u \| _ { p }$ ; confidence 0.086
  
28. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120300/d12030010.png ; $\alpha : R + \times R ^ { N } \rightarrow R ^ { N }$ ; confidence 0.086
+
28. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120300/d12030010.png ; $a : \mathbf{R}_{ +} \times \mathbf{R} ^ { n } \rightarrow \mathbf{R} ^ { n }$ ; confidence 0.086
  
29. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b120430172.png ; $\partial _ { q } , y$ ; confidence 0.086
+
29. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b120430172.png ; $\partial _ { q , y}$ ; confidence 0.086
  
30. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200108.png ; $\operatorname { max } _ { k = m + 1 , \ldots , m + n } | g ( k ) | \geq c _ { m , n } , \operatorname { min } _ { j = 1 , \ldots , N } | b _ { 1 } + \ldots + b _ { j } |$ ; confidence 0.086
+
30. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200108.png ; $\operatorname { max } _ { k = m + 1 , \ldots , m + n } | g ( k ) | \geq c _ { m , n } , \operatorname { min } _ { j = 1 , \ldots , n } | b _ { 1 } + \ldots + b _ { j } |$ ; confidence 0.086
  
31. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120040/l12004037.png ; $- \Delta t a \partial _ { \chi } ^ { ( 1 ) } u ( x _ { i } , t ^ { n } ) + \frac { \Delta t ^ { 2 } } { 2 } \alpha ^ { 2 } \partial _ { x } ^ { ( 2 ) } u ( x _ { i } , t ^ { n } ) + O ( \Delta t ^ { 2 } )$ ; confidence 0.085
+
31. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120040/l12004037.png ; $- \Delta t a \partial _ { x } ^ { ( 1 ) } u ( x _ { i } , t ^ { n } ) + \frac { \Delta t ^ { 2 } } { 2 } a ^ { 2 } \partial _ { x } ^ { ( 2 ) } u ( x _ { i } , t ^ { n } ) + O ( \Delta t ^ { 2 } ).$ ; confidence 0.085
  
32. https://www.encyclopediaofmath.org/legacyimages/v/v110/v110050/v1100506.png ; $\operatorname { lim } _ { \beta \rightarrow 0 } \frac { 1 } { | Q | } \int _ { Q } | f - f _ { Q } | d t \rightarrow 0$ ; confidence 0.085
+
32. https://www.encyclopediaofmath.org/legacyimages/v/v110/v110050/v1100506.png ; $\operatorname { lim } _ { |Q| \rightarrow 0 } \frac { 1 } { | Q | } \int _ { Q } |\, f - f _ { Q } | d t \rightarrow 0.$ ; confidence 0.085
  
33. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120060/k12006014.png ; $\mathfrak { c } _ { 1 } ( \underline { L } )$ ; confidence 0.085
+
33. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120060/k12006014.png ; $ c _ { 1 } ( L )$ ; confidence 0.085
  
34. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120240/e12024024.png ; $\operatorname { Tr } _ { L \backslash l / L }$ ; confidence 0.085
+
34. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120240/e12024024.png ; $\operatorname { Tr } _ { L l / L }$ ; confidence 0.085
  
35. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011620/a0116204.png ; $H _ { p }$ ; confidence 0.085
+
35. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011620/a0116204.png ; $H _ { n }$ ; confidence 0.085
  
36. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130090/c13009027.png ; $L _ { i , j } = L C _ { j } ( x ) _ { \alpha = x _ { i } }$ ; confidence 0.085
+
36. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130090/c13009027.png ; $L _ { i ,\, j } = L C _ { j } ( x ) |_ { x = x _ { i } }$ ; confidence 0.085
  
37. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024018.png ; $E _ { i }$ ; confidence 0.085
+
37. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024018.png ; $e _ { i }$ ; confidence 0.085
  
38. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180488.png ; $\lambda g = \sum _ { i , j } \lambda _ { B j } d x ^ { i } \otimes d x ^ { j } \in S ^ { 2 } E$ ; confidence 0.085
+
38. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180488.png ; $\lambda g = \sum _ { i ,\, j } \lambda g_ { i j } d x ^ { i } \otimes d x ^ { j } \in \mathsf{S} ^ { 2 } \mathcal{E}$ ; confidence 0.085
  
39. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120090/m1200907.png ; $\xi ^ { I } = \xi _ { 1 } ^ { 1 } \ldots \xi _ { n } ^ { n }$ ; confidence 0.085
+
39. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120090/m1200907.png ; $\xi ^ { J } = \xi _ { 1 } ^ { j_1 } \ldots \xi _ { n } ^ { j_n }$ ; confidence 0.085
  
40. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120280/d12028098.png ; $F ( f ) = F _ { \phi } ( f ) = \int _ { \partial D _ { m } } f ( z ) \sum ^ { n _ { k = 1 } } ( - 1 ) ^ { k - 1 } \frac { \partial _ { V } } { \partial z _ { k } } d z [ k ] \bigwedge d z$ ; confidence 0.085
+
40. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120280/d12028098.png ; $F (\, f ) = F _ { \phi } (\, f ) = \int _ { \partial D _ { m } } f ( z ) \sum ^ { n } _ { k = 1 } ( - 1 ) ^ { k - 1 } \frac { \partial \overline{ v } } { \partial z _ { k } } d \overline{z} [ k ] \bigwedge d z.$ ; confidence 0.085
  
41. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a130180168.png ; $RCA _ { \omega } = SP \{ \langle \mathfrak { P } ( \square ^ { \omega } U ) , c _ { i } , Id _ { i j } \rangle _ { i , j \in \omega } : U _ { is } \text { aset } \}$ ; confidence 0.085
+
41. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a130180168.png ; $\mathbf{\mathsf{RCA}} _ { \omega } = \mathbf{SP} \left\{ \left( \mathfrak { P } ( \square ^ { \omega } U ) , c _ { i } , \operatorname{Id} _ { i j } \right)_ { i ,\, j \in \omega } : U \ \text {is a set } \right\}.$ ; confidence 0.085
  
42. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220195.png ; $\langle . . \} : CH ^ { p } ( X ) ^ { 0 } \times CH ^ { n + 1 - p } ( X ) ^ { 0 } \rightarrow R$ ; confidence 0.085
+
42. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220195.png ; $\langle \cdot , \cdot \rangle : \operatorname{CH} ^ { p } ( X ) ^ { 0 } \times \operatorname{CH} ^ { n + 1 - p } ( X ) ^ { 0 } \rightarrow \mathbf{R}$ ; confidence 0.085
  
43. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020850/c02085017.png ; $X _ { \mu }$ ; confidence 0.085
+
43. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020850/c02085017.png ; $X _ { k }$ ; confidence 0.085
  
44. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220124.png ; $r _ { D } : H _ { M } ^ { i } ( M _ { Z } , Q ( j ) ) \rightarrow H _ { D } ^ { i } ( M / R , R ( j ) )$ ; confidence 0.085
+
44. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220124.png ; $r _ { \mathcal{D} } : H _ { \mathcal{M} } ^ { i } ( M _ { \mathbf{Z} } , \mathbf{Q} (\, j ) ) \rightarrow H _ { \mathcal{D} } ^ { i } ( M_{ / \mathbf{R}} , \mathbf{R} (\, j ) )$ ; confidence 0.085
  
45. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170255.png ; $B _ { 2 } \stackrel { d } { \rightarrow } B _ { 1 } \stackrel { d _ { 1 } } { \rightarrow } B _ { 0 } \rightarrow 0$ ; confidence 0.085
+
45. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170255.png ; $B _ { 2 } \stackrel { d } { \rightarrow } B _ { 1 } \stackrel { d _ { 1 } } { \rightarrow } B _ { 0 } \rightarrow 0,$ ; confidence 0.085
  
46. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c120210124.png ; $\| P _ { n } , \theta _ { n } - R _ { n } , k \| \rightarrow 0$ ; confidence 0.085
+
46. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c120210124.png ; $\| P _ { n , \theta _ { n }} - R _ { n , h }\| \rightarrow 0$ ; confidence 0.085
  
47. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a130180125.png ; $\exists b _ { i } : b = \{ b _ { 0 } , \dots , b _ { i } - 1 , b _ { i } , b _ { i } + 1 , \dots , b _ { p } - 1 \} \in R \}$ ; confidence 0.084
+
47. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a130180125.png ; $\exists b _ { i } : b = \langle b _ { 0 } , \dots , b _ { i - 1} , b _ { i } , b _ { i + 1} , \dots , b _ { - 1} \rangle \in R \}.$ ; confidence 0.084
  
48. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180391.png ; $\{ \varnothing ^ { * } \overline { E } , \tilde { \nabla } \}$ ; confidence 0.084
+
48. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180391.png ; $\{ \otimes ^ { * } \tilde { \mathcal{E} } , \tilde { \nabla } \}$ ; confidence 0.084
  
49. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110010/h11001023.png ; $\frac { 1 } { x } \cdot \sum _ { n \leq x } f ( n ) = c x ^ { i * } 0$ ; confidence 0.084
+
49. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110010/h11001023.png ; $\frac { 1 } { x } \cdot \sum _ { n \leq x } f ( n ) = c x ^ { ia_{0} } .$ ; confidence 0.084
  
50. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120100/b12010033.png ; $F ( 0 ) = ( F _ { 1 } ( 0 , x _ { 1 } ) , \ldots , F _ { N } ( 0 , x _ { 1 } , \ldots , x _ { N } ) , \ldots )$ ; confidence 0.084
+
50. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120100/b12010033.png ; $F ( 0 ) = ( F _ { 1 } ( 0 , x _ { 1 } ) , \ldots , F _ { n } ( 0 , x _ { 1 } , \ldots , x _ { n } ) , \ldots ).$ ; confidence 0.084
  
 
51. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110750/b11075015.png ; $v _ { 1 } , \dots , v _ { m }$ ; confidence 0.084
 
51. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110750/b11075015.png ; $v _ { 1 } , \dots , v _ { m }$ ; confidence 0.084
  
52. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046080/h04608030.png ; $17212$ ; confidence 0.083
+
52. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046080/h04608030.png ; $mn$ ; confidence 0.083
  
53. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040304.png ; $O ( a , b )$ ; confidence 0.083
+
53. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040304.png ; $\Theta_{ \mathsf{Q} } ( a , b )$ ; confidence 0.083
  
54. https://www.encyclopediaofmath.org/legacyimages/o/o120/o120050/o12005082.png ; $\operatorname { sup } _ { \lambda > 0 } \varphi ^ { \prime } ( a u ) / \varphi ^ { \prime } ( u ) < 1$ ; confidence 0.083
+
54. https://www.encyclopediaofmath.org/legacyimages/o/o120/o120050/o12005082.png ; $\operatorname { sup } _ { u > 0 } \varphi ^ { \prime } ( a u ) / \varphi ^ { \prime } ( u ) < 1$ ; confidence 0.083
  
55. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032011.png ; $+ h \sum _ { j = 1 } ^ { s } B _ { j } ( h T ) [ f ( t _ { m } + c _ { j } h , u _ { m + 1 } ^ { ( j ) } ) - T u _ { m j } ^ { ( j ) } + 1 ]$ ; confidence 0.083
+
55. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032011.png ; $+ h \sum _ { j = 1 } ^ { s } B _ { j } ( h T ) \left[\, f ( t _ { m } + c _ { j } h , u _ { m + 1 } ^ { ( j ) } ) - T u _ { m +1 } ^ { ( j ) } \right].$ ; confidence 0.083
  
 
56. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021620/c021620170.png ; $w _ { 1 } , \ldots , w _ { n }$ ; confidence 0.083
 
56. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021620/c021620170.png ; $w _ { 1 } , \ldots , w _ { n }$ ; confidence 0.083
  
57. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120120/p12012016.png ; $R ^ { i x } b c v$ ; confidence 0.083
+
57. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120120/p12012016.png ; $R ^ { a } _{b c d}$ ; confidence 0.083
  
58. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170251.png ; $X \stackrel { f } { \rightarrow } Y ^ { g } , X$ ; confidence 0.083
+
58. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170251.png ; $X \stackrel { f } { \rightarrow } Y \stackrel { g } { \rightarrow } X$ ; confidence 0.083
  
59. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120020/b12002043.png ; $\alpha _ { \aleph } , F \circ Q + \beta _ { N , F }$ ; confidence 0.082
+
59. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120020/b12002043.png ; $\alpha _ { , F} \circ Q + \beta _ { n , F }$ ; confidence 0.082
  
60. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520163.png ; $J ( f ) = \left\| \begin{array} { c c c c c c } { a } & { 1 } & { \square } & { \square } & { \square } & { 0 } \\ { \square } & { \cdot } & { \square } & { \square } & { \square } & { \square } \\ { \square } & { \square } & { . } & { \square } & { \square } & { \square } \\ { \square } & { \square } & { \square } & { . } & { \square } & { \square } \\ { \square } & { \square } & { \square } & { \square } & { . } & { 1 } \\ { 0 } & { \square } & { \square } & { \square } & { \square } & { a } \end{array} \right\|$ ; confidence 0.082
+
60. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520163.png ; $J (\, f ) = \left\| \begin{array} { c c c c c c } { a } & { 1 } & { \square } & { \square } & { \square } & { 0 } \\ { \square } & { \cdot } & { \square } & { \square } & { \square } & { \square } \\ { \square } & { \square } & { . } & { \square } & { \square } & { \square } \\ { \square } & { \square } & { \square } & { . } & { \square } & { \square } \\ { \square } & { \square } & { \square } & { \square } & { . } & { 1 } \\ { 0 } & { \square } & { \square } & { \square } & { \square } & { a } \end{array} \right\|,$ ; confidence 0.082
  
61. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d12002092.png ; $V _ { V }$ ; confidence 0.082
+
61. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d12002092.png ; $v _ { \text{M} }$ ; confidence 0.082
  
62. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120070/e12007077.png ; $\{ p _ { | H } : M \in \Gamma \}$ ; confidence 0.082
+
62. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120070/e12007077.png ; $\{ p _ { M } : M \in \Gamma \}$ ; confidence 0.082
  
63. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120190/c12019032.png ; $H ^ { q } ( B \Gamma , C ) \simeq H ^ { q } ( \Gamma , C )$ ; confidence 0.082
+
63. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120190/c12019032.png ; $H ^ { q } ( B \Gamma , \mathbf{C} ) \simeq H ^ { q } ( \Gamma , \mathbf{C} )$ ; confidence 0.082
  
64. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020263.png ; $= v _ { 1 } r _ { 1 }$ ; confidence 0.082
+
64. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020263.png ; $= v _ { M }$ ; confidence 0.082
  
65. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180402.png ; $\operatorname { Ric } ( g ) = 0 \in S ^ { 2 } E$ ; confidence 0.082
+
65. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180402.png ; $\operatorname { Ric } ( \tilde{g} ) = 0 \in \mathsf{S} ^ { 2 } \tilde{\mathcal{E}}$ ; confidence 0.082
  
66. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027570/c02757096.png ; $\hat { r } _ { 2 \gamma }$ ; confidence 0.081
+
66. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027570/c02757096.png ; $h_{n}$ ; confidence 0.081
  
67. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120080/i12008079.png ; $Z = \sum _ { S _ { 1 } = \pm 1 } | s _ { 1 } | P ^ { N } | S _ { 1 } \rangle = \lambda _ { + } ^ { N } + \lambda ^ { N }$ ; confidence 0.081
+
67. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120080/i12008079.png ; $Z = \sum _ { S _ { 1 } = \pm 1 } \left( S _ { 1 } | \mathcal{P} ^ { N } | S _ { 1 } \right) = \lambda _ { + } ^ { N } + \lambda ^ { N }_{-},$ ; confidence 0.081
  
68. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130180/d13018022.png ; $j _ { i }$ ; confidence 0.081
+
68. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130180/d13018022.png ; $J _ { E }$ ; confidence 0.081
  
69. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120190/c12019040.png ; $\varphi * : K _ { 0 } ^ { dag } ( c _ { 1 } \otimes C [ \Gamma ] ) \rightarrow C$ ; confidence 0.081
+
69. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120190/c12019040.png ; $\varphi_{ *} : K _ { 0 } ^ { \text{alg} } ( \mathcal{C} _ { 1 } \bigotimes \mathbf{C} [ \Gamma ] ) \rightarrow \mathbf{C},$ ; confidence 0.081
  
70. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b120420146.png ; $\Psi _ { V , W } ( v \otimes w ) = \sum v ^ { ( I ) } \supset w \otimes v ^ { ( 2 ) }$ ; confidence 0.080
+
70. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b120420146.png ; $\Psi _ { V , W } ( v \bigotimes w ) = \sum v ^ { \overline{( 1 )} } \rhd w \bigotimes v ^ { \overline{( 2 )} }.$ ; confidence 0.080
  
71. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f130290152.png ; $( X , \tau ) \in | L \square | O P |$ ; confidence 0.080
+
71. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f130290152.png ; $( X , \tau ) \in | L \square \mathbf{TOP} |$ ; confidence 0.080
  
72. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130030/h1300305.png ; $S _ { t r }$ ; confidence 0.080
+
72. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130030/h1300305.png ; $s _ { k }$ ; confidence 0.080
  
73. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a1300409.png ; $\lambda ^ { F m } ( \varphi 0 , \dots , \varphi _ { m } - 1 )$ ; confidence 0.080
+
73. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a1300409.png ; $\lambda ^ { \mathbf{Fm} } ( \varphi_0 , \dots , \varphi _ { - 1} )$ ; confidence 0.080
  
74. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040736.png ; $^ { * } L D S = \cup \{ \text { Alg } Mod ^ { * } L D S _ { P } : \text { Paset } \}$ ; confidence 0.080
+
74. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040736.png ; $\text { Alg } \text {Mod} ^ { * \text{L}} \mathcal{DS} = \cup \{ \text { Alg } \text {Mod} ^ { * \text{L}} \mathcal{DS} _ { P } : P \ \text { a set } \}$ ; confidence 0.080
  
75. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120210/t12021084.png ; $t ( G ; x , y ) = \sum S \subseteq E ( x - 1 ) ^ { N ( G ) - r ( S ) } ( y - 1 ) ^ { | S | - r ( S ) }$ ; confidence 0.080
+
75. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120210/t12021084.png ; $t ( G ; x , y ) = \sum_{ S \subseteq E} ( x - 1 ) ^ { r ( G ) - r ( S ) } ( y - 1 ) ^ { | S | - r ( S ) }$ ; confidence 0.080
  
76. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110010/h11001029.png ; $\operatorname { lim } _ { K \rightarrow \infty } \operatorname { sup } _ { x \geq 1 } \frac { 1 } { x } \cdot \sum _ { n \leq x , } \sum _ { f ( n ) } \quad | f ( n ) | = 0$ ; confidence 0.080
+
76. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110010/h11001029.png ; $\operatorname { lim } _ { K \rightarrow \infty } \operatorname { sup } _ { x \geq 1 } \frac { 1 } { x } \cdot \sum _ { n \leq x , |\, f ( n )| \geq K } \quad | f ( n ) | = 0.$ ; confidence 0.080
  
77. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120150/p12015069.png ; $1 / r _ { 2 } \notin Z _ { n }$ ; confidence 0.080
+
77. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120150/p12015069.png ; $r_1 / r _ { 2 } \notin \mathbf{Z} _ { n }$ ; confidence 0.080
  
78. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040627.png ; $\langle F m _ { P } , \operatorname { mod } e l s s _ { P } \rangle$ ; confidence 0.080
+
78. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040627.png ; $\langle \mathbf{Fm} _ { P } , \models_{\mathcal{S}_ { P }} \rangle$ ; confidence 0.080
  
79. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120370/b12037031.png ; $j 1 , \ldots , j _ { l } < i$ ; confidence 0.079
+
79. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120370/b12037031.png ; $j_1 , \ldots , j _ { r } < i$ ; confidence 0.079
  
80. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096910/v09691010.png ; $\hat { f }$ ; confidence 0.079
+
80. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096910/v09691010.png ; $\overline{ h }$ ; confidence 0.079
  
81. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l05700097.png ; $? \equiv \lambda p \cdot p ( \lambda x$ ; confidence 0.079
+
81. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l05700097.png ; $\mathbf{zero}_{?} \equiv \lambda p \cdot p ( \lambda x \cdot \mathbf{false})\mathbf{true}$ ; confidence 0.079
  
82. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120050/w12005015.png ; $A _ { i } = A _ { . } e _ { i } = R _ { . e } \oplus N _ { i }$ ; confidence 0.079
+
82. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120050/w12005015.png ; $A _ { i } = A \cdot e _ { i } = \mathbf{R} \cdot e_{i} \oplus N _ { i }$ ; confidence 0.079
  
83. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011014.png ; $( Op ( a ) u ) ( x ) = \int e ^ { 2 i \pi x . \xi } a ( x , \xi ) \hat { a } ( \xi ) d \xi$ ; confidence 0.079
+
83. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011014.png ; $( \operatorname{Op} ( a ) u ) ( x ) = \int e ^ { 2 i \pi x \cdot \xi } a ( x , \xi ) \hat { u } ( \xi ) d \xi,$ ; confidence 0.079
  
84. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120060/b12006021.png ; $l _ { 2 } U = \frac { \partial ^ { 2 } U } { \partial t ^ { 2 } }$ ; confidence 0.078
+
84. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120060/b12006021.png ; $\Delta_ { 2 } U = \frac { \partial ^ { 2 } U } { \partial t ^ { 2 } },$ ; confidence 0.078
  
85. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120020/b12002037.png ; $_ { l ^ { \prime } } F = n ^ { 1 / 2 } ( F _ { n } - F )$ ; confidence 0.078
+
85. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120020/b12002037.png ; $\alpha_{n, F} = n ^ { 1 / 2 } ( F _ { n } - F )$ ; confidence 0.078
  
86. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220159.png ; $P _ { D }$ ; confidence 0.078
+
86. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220159.png ; $r _ { \mathcal{D} }$ ; confidence 0.078
  
87. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t120050124.png ; $\overline { d ^ { 2 } f } _ { X } : R ^ { n } \times R ^ { n } \rightarrow R$ ; confidence 0.078
+
87. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t120050124.png ; $\widetilde{ d ^ { 2 } f } _ { x } : \mathbf{R} ^ { n } \times \mathbf{R} ^ { n } \rightarrow \mathbf{R}$ ; confidence 0.078
  
88. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130080/z13008043.png ; $R _ { k + l } ^ { k - l } ( r _ { s } \alpha ) = \frac { l ! } { ( \alpha + 1 ) _ { l } } r ^ { k - l } P _ { l } ^ { ( \alpha , k - l ) } ( 2 r ^ { 2 } - 1 )$ ; confidence 0.078
+
88. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130080/z13008043.png ; $R _ { k + l } ^ { k - l } ( r ; \alpha ) = \frac { l ! } { ( \alpha + 1 ) _ { l } } r ^ { k - l } P _ { l } ^ { ( \alpha , k - l ) } ( 2 r ^ { 2 } - 1 ),$ ; confidence 0.078
  
89. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120360/b12036010.png ; $E \hat { i }$ ; confidence 0.078
+
89. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120360/b12036010.png ; $\epsilon_{l}$ ; confidence 0.078
  
90. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130220/m13022068.png ; $p ^ { - 1 } \prod _ { m > 0 } ( 1 - p ^ { m } q ^ { n } ) ^ { d m n } = j ( w ) - j ( z )$ ; confidence 0.078
+
90. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130220/m13022068.png ; $p ^ { - 1 } \prod _ { \underset{n \in \mathbf{Z} }{m > 0} } ( 1 - p ^ { m } q ^ { n } ) ^ { a_{ m n} } = j ( w ) - j ( z )$ ; confidence 0.078
  
91. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w13009039.png ; $\theta _ { n } ( h _ { 1 } \otimes \ldots \otimes h _ { n } ) = P _ { n } ( \tilde { h _ { 1 } } \ldots \tilde { h _ { n } } )$ ; confidence 0.078
+
91. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w13009039.png ; $\theta _ { n } ( h _ { 1 } \bigotimes \ldots \bigotimes h _ { n } ) = P _ { n } ( \tilde { h _ { 1 } } \ldots \tilde { h _ { n } } ).$ ; confidence 0.078
  
92. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040335.png ; $E ( x , y ) \nmid _ { D } E ( y , x ) , \quad E ( x , y ) , E ( y , z ) | _ { D } E ( x , z )$ ; confidence 0.078
+
92. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040335.png ; $E ( x , y ) \vdash _ { \mathcal{D} } E ( y , x ) , \quad E ( x , y ) , E ( y , z ) \vdash _ { \mathcal{D} } E ( x , z ),$ ; confidence 0.078
  
93. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230104.png ; $E ^ { \vec { a } } ( L ) = \sum _ { | \alpha | = 0 } ^ { k } ( - 1 ) ^ { | \alpha | } D ^ { \alpha } ( \frac { \partial L } { \partial y _ { \alpha } ^ { \dot { \alpha } } } )$ ; confidence 0.077
+
93. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230104.png ; $\mathcal{E} ^ { a } ( L ) = \sum _ { | \alpha | = 0 } ^ { k } ( - 1 ) ^ { | \alpha | } D ^ { \alpha } \left( \frac { \partial L } { \partial y _ { \alpha } ^ { a } } \right),$ ; confidence 0.077
  
94. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043320/g0433201.png ; $\| u \| _ { \pi / 2 } ^ { 2 } \leq c _ { 1 } \operatorname { Re } B [ u , u ] = c _ { 2 } \| u \| _ { 0 } ^ { 2 }$ ; confidence 0.077
+
94. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043320/g0433201.png ; $\| u \| _ { m } ^ { 2 } \leq c _ { 1 } \operatorname { Re } B [ u , u ] = c _ { 2 } \| u \| _ { 0 } ^ { 2 },$ ; confidence 0.077
  
95. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120240/s12024058.png ; $z ^ { N } = \{ z ^ { n } _ { i } , x _ { i } ^ { n + 1 } \} , z \square ^ { n } = \{ z _ { i } ^ { N } , x \square _ { i } ^ { n + 1 } \}$ ; confidence 0.077
+
95. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120240/s12024058.png ; $\mathbf{z} ^ { n } = \{ z ^ { n _ { i } } , x _ { i } ^ { n + 1 } \} , \overline{\mathbf{z}} \square ^ { n } = \{ z _ { i } ^ { n } , \overline{x} \square _ { i } ^ { n + 1 } \}$ ; confidence 0.077
  
96. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a130180146.png ; $RCA _ { n } = SP \{ \Re d _ { n } ( U ) : U _ { 1 s } a \text { set } \}$ ; confidence 0.077
+
96. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a130180146.png ; $\mathbf{\mathsf{RCA}} _ { n } = \mathbf{SP} \{ \mathfrak{Rel} _ { n } ( U ) : U \text {is a set } \},$ ; confidence 0.077
  
97. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240422.png ; $1$ ; confidence 0.077
+
97. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240422.png ; $\mathbf{a}$ ; confidence 0.077
  
98. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120260/d12026032.png ; $X \underline { \square } _ { N } = \operatorname { inf } _ { t } X _ { n } ( t )$ ; confidence 0.077
+
98. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120260/d12026032.png ; $X \underline { \square } _ { n } = \operatorname { inf } _ { t } X _ { n } ( t )$ ; confidence 0.077
  
99. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120270/c12027018.png ; $\frac { Vol ( \partial \Omega ) ^ { n } } { Vol ( \Omega ) ^ { n - 1 } } \geq \mathfrak { c } _ { 2 } \cdot \omega ^ { n + 1 } , \quad \mathfrak { c } _ { 2 } = \frac { \alpha ( n - 1 ) ^ { n } } { ( \frac { \alpha ( n ) } { 2 } ) ^ { n - 1 } }$ ; confidence 0.077
+
99. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120270/c12027018.png ; $\frac { \operatorname {Vol} ( \partial \Omega ) ^ { n } } { \operatorname {Vol} ( \Omega ) ^ { n - 1 } } \geq c _ { 2 } \cdot \omega ^ { n + 1 } , \quad c _ { 2 } = \frac { \alpha ( n - 1 ) ^ { n } } { \left( \frac { \alpha ( n ) } { 2 } \right) ^ { n - 1 } }.$ ; confidence 0.077
  
100. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054060.png ; $SL _ { \times } ( F )$ ; confidence 0.077
+
100. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054060.png ; $\operatorname {SL} _ { n } ( F )$ ; confidence 0.077
  
101. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130070/p13007060.png ; $L = \{ u \in \operatorname { PSH } ( C ^ { n } ) : u - \operatorname { log } ( 1 + | z | ) = O ( 1 ) ( z \rightarrow \infty ) \}$ ; confidence 0.077
+
101. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130070/p13007060.png ; $\mathcal{L} = \{ u \in \operatorname { PSH } ( \mathbf{C} ^ { n } ) : u - \operatorname { log } ( 1 + | z | ) = O ( 1 ) ( z \rightarrow \infty ) \}.$ ; confidence 0.077
  
102. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120340/b12034078.png ; $\| f \| \leq \operatorname { sup } _ { \Lambda / l } | f ( z ) |$ ; confidence 0.077
+
102. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120340/b12034078.png ; $\|\, f \| \leq \operatorname { sup } _ { M } |\, f ( z ) |$ ; confidence 0.077
  
103. https://www.encyclopediaofmath.org/legacyimages/x/x120/x120010/x12001053.png ; $10.014 \times 1 =$ ; confidence 0.077
+
103. https://www.encyclopediaofmath.org/legacyimages/x/x120/x120010/x12001053.png ; $|G:G_{\text{inn}}|< \infty$ ; confidence 0.077
  
104. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017041.png ; $\overline { X } \in \operatorname { ker } \delta _ { \overline { H } } ^ { * } , \overline { B } ^ { * }$ ; confidence 0.077
+
104. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017041.png ; $\hat { X } \in \operatorname { ker } \delta _ { \hat { A } ^ { * } , B ^ { * }}$ ; confidence 0.077
  
105. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011390/a01139028.png ; $\vec { C }$ ; confidence 0.077
+
105. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011390/a01139028.png ; $\hat { C }$ ; confidence 0.077
  
106. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a130180134.png ; $\mathfrak { R } d _ { n } ( U ) = \{ \mathfrak { P } ( \square ^ { n } U ) , \mathfrak { c } _ { 0 } , \ldots , \mathfrak { c } _ { n } - 1 , Id \}$ ; confidence 0.077
+
106. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a130180134.png ; $\mathfrak { Rel } _ { n } ( U ) = \left( \mathfrak { P } ( \square ^ { n } U ) , c _ { 0 } , \ldots , c _ { n - 1} , \operatorname{Id} \right)$ ; confidence 0.077
  
107. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110239.png ; $a _ { n } ^ { * } b = a b + S ( m _ { 1 } m _ { 2 } H , G ) , a _ { * } ^ { * } b = a b + \frac { 1 } { 2 \iota } \{ a , b \} + S ( m _ { 1 } m _ { 2 } H ^ { 2 } , G )$ ; confidence 0.076
+
107. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110239.png ; $a \sharp  b = a b + S ( m _ { 1 } m _ { 2 } H , G ) ,\; a \sharp  b = a b + \frac { 1 } { 2 \iota } \{ a , b \} + S ( m _ { 1 } m _ { 2 } H ^ { 2 } , G ),$ ; confidence 0.076
  
108. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021072.png ; $\mathfrak { C } 1 , \ldots , \mathfrak { C } _ { x }$ ; confidence 0.076
+
108. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021072.png ; $c_ 1 , \ldots , c _ { n }$ ; confidence 0.076
  
109. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011820/a01182030.png ; $x _ { j }$ ; confidence 0.076
+
109. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011820/a01182030.png ; $a _ { j }$ ; confidence 0.076
  
110. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200133.png ; $\geq 2 ( \frac { \delta _ { 1 } - \delta _ { 2 } } { 12 e } ) ^ { N } \operatorname { min } _ { j = k , \ldots , l } | b _ { 1 } + \ldots + b _ { j } |$ ; confidence 0.076
+
110. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200133.png ; $\geq 2 \left( \frac { \delta _ { 1 } - \delta _ { 2 } } { 12 e } \right) ^ { n } \operatorname { min } _ { j = h , \ldots , l } | b _ { 1 } + \ldots + b _ { j } |.$ ; confidence 0.076
  
 
111. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014020/a01402029.png ; $\psi _ { i }$ ; confidence 0.075
 
111. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014020/a01402029.png ; $\psi _ { i }$ ; confidence 0.075
  
112. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130220/b1302202.png ; $P _ { t } - 1$ ; confidence 0.075
+
112. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130220/b1302202.png ; $P _ { - 1}$ ; confidence 0.075
  
113. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130040/z13004016.png ; $K _ { x } , x$ ; confidence 0.075
+
113. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130040/z13004016.png ; $K _ { n , m}$ ; confidence 0.075
  
114. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130160/c13016082.png ; $111112$ ; confidence 0.075
+
114. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130160/c13016082.png ; $\text{NTIME}$ ; confidence 0.075
  
115. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050123.png ; $S _ { e } ^ { - s A ( t , u ) } \supset e ^ { - s A ( t , u ) } S$ ; confidence 0.075
+
115. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050123.png ; $Se  ^ { - s A ( t , u ) } \supset e ^ { - s \hat{A} ( t , u ) } S,$ ; confidence 0.075
  
116. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130200/m13020010.png ; $0 \rightarrow H ^ { 0 } ( M ) \rightarrow C ^ { \infty } ( M ) \stackrel { H } { 4 } x ( M , \omega ) \stackrel { \gamma } { \rightarrow } H ^ { 1 } ( M ) \rightarrow 0$ ; confidence 0.075
+
116. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130200/m13020010.png ; $0 \rightarrow H ^ { 0 } ( M ) \rightarrow C ^ { \infty } ( M ) \stackrel { H } { \rightarrow }  \mathfrak{X} ( M , \omega ) \stackrel { \gamma } { \rightarrow } H ^ { 1 } ( M ) \rightarrow 0,$ ; confidence 0.075
  
117. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120150/p12015070.png ; $\int _ { | x - \alpha _ { j } | \leq r _ { j } } f ( x ) d x , \quad | \alpha _ { j } | + r _ { j } < 1 , j = 1,2$ ; confidence 0.075
+
117. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120150/p12015070.png ; $\int _ { | x - a _ { j } | \leq r _ { j } } f ( x ) d x , \quad | a _ { j } | + r _ { j } < 1 ,\; j = 1,2,$ ; confidence 0.075
  
118. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120020/f12002016.png ; $\sum _ { \gamma = 0 } ^ { \infty } ( Q - 1 ) ^ { n }$ ; confidence 0.075
+
118. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120020/f12002016.png ; $P \sum _ { n = 0 } ^ { \infty } ( Q - 1 ) ^ { n }$ ; confidence 0.075
  
119. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110160/f110160120.png ; $\psi _ { \mathfrak { Q } } ^ { l } \overline { \mathfrak { a } }$ ; confidence 0.075
+
119. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110160/f110160120.png ; $\psi _ { \mathfrak { A } } ^ { l } \overline {a}$ ; confidence 0.075
  
120. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t13005064.png ; $( X \otimes \mathfrak { e } _ { 0 } ) \oplus ( X \otimes \mathfrak { e } _ { 1 } )$ ; confidence 0.075
+
120. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t13005064.png ; $( \mathcal{X} \otimes e _ { 0 } ) \oplus ( \mathcal{X} \otimes e_ { 1 } )$ ; confidence 0.075
  
121. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120030/b12003041.png ; $\| \operatorname { ltg } ( t ) \| _ { 2 } \| \gamma g ( \gamma ) \| _ { 2 } \geq ( 4 \pi ) ^ { - 1 } \| g \| _ { 2 } ^ { 2 }$ ; confidence 0.075
+
121. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120030/b12003041.png ; $\| \operatorname { tg } ( t ) \| _ { 2 } \| \gamma \hat{g} ( \gamma ) \| _ { 2 } \geq ( 4 \pi ) ^ { - 1 } \| g \| _ { 2 } ^ { 2 }$ ; confidence 0.075
  
122. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t130050107.png ; $A _ { k } \equiv ( a _ { i , j } ^ { ( k ) } ) _ { i , j = 1 } ^ { \operatorname { dim } X }$ ; confidence 0.075
+
122. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t130050107.png ; $A _ { k } \equiv ( a _ { i ,\, j } ^ { ( k ) } ) _ { i ,\, j = 1 } ^ { \operatorname { dim } \mathcal{X} }$ ; confidence 0.075
  
123. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051620/i051620126.png ; $z = ( z ] , \dots , z _ { x } )$ ; confidence 0.074
+
123. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051620/i051620126.png ; $\overline{z} = ( \overline{z}_{1} , \dots , \overline{z}_ { n } )$ ; confidence 0.074
  
124. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041860/f0418602.png ; $c ^ { n } + 1$ ; confidence 0.074
+
124. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041860/f0418602.png ; $\mathbf{C} ^ { n + 1}$ ; confidence 0.074
  
125. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b13029070.png ; $( \alpha _ { 1 } , \dots , \alpha _ { i - 1 } ) : a _ { i } \alpha _ { j } = ( \alpha _ { 1 } , \dots , a _ { i - 1 } ) : \alpha _ { j }$ ; confidence 0.074
+
125. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b13029070.png ; $( a _ { 1 } , \dots , a _ { i - 1 } ) : a _ { i } a _ { j } = ( a _ { 1 } , \dots , a _ { i - 1 } ) : a _ { j }$ ; confidence 0.074
  
126. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020255.png ; $v _ { N / 2 } > v ^ { * }$ ; confidence 0.074
+
126. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020255.png ; $v _ { M } > v ^ { * }$ ; confidence 0.074
  
127. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120270/s12027019.png ; $\{ x _ { 1 } , x , \dots , x _ { 8 } , x \} \subseteq \{ y _ { 1 } , m , \dots , y _ { m } , m \}$ ; confidence 0.074
+
127. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120270/s12027019.png ; $\{ x _ { 1 , n} , \dots , x _ { n  , n} \} \subseteq \{ y _ { 1 , m} , \dots , y _ { m , m} \},$ ; confidence 0.074
  
128. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f12023047.png ; $K _ { x } \in \wedge ^ { k + 1 } T _ { X } ^ { * } M \otimes T _ { X } M$ ; confidence 0.074
+
128. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f12023047.png ; $K _ { x } \in \wedge ^ { k + 1 } T _ { x } ^ { * } M \otimes T _ { x }\, M$ ; confidence 0.074
  
129. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120280/a12028010.png ; $x ( n ) = \int _ { T ^ { 2 } } ^ { n } U _ { z } ( x ) d z$ ; confidence 0.074
+
129. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120280/a12028010.png ; $\hat{x} ( n ) = \int _ { \mathbf{T} } \overline{z}^{n} U _ { z } ( x ) d z$ ; confidence 0.074
  
130. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018045.png ; $\Omega D C$ ; confidence 0.074
+
130. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018045.png ; $\mathfrak{M} \in \operatorname{Mod}_{\tau}$ ; confidence 0.074
  
131. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b130300102.png ; $B ( m , n , i ) = \{ \alpha _ { 1 } , \dots , a _ { m } | A _ { 1 } ^ { n } , \dots , A _ { i } ^ { n } \rangle$ ; confidence 0.074
+
131. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b130300102.png ; $B ( m , n , i ) = \langle a _ { 1 } , \dots , a _ { m } | A _ { 1 } ^ { n } , \dots , A _ { i } ^ { n } \rangle$ ; confidence 0.074
  
132. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d12002047.png ; $U _ { 1 } = \{ u _ { 1 } \geq 0 : c ^ { T } _ { \overline { X } } ( k ) + u _ { 1 } A _ { 1 } x ^ { ( k ) } \geq 0 \text { for all } k \in R \}$ ; confidence 0.074
+
132. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d12002047.png ; $U _ { 1 } = \{ u _ { 1 } \geq 0 : c ^ { T } \tilde { x } ^{ ( k ) } + u _ { 1 } A _ { 1 } \tilde{x} ^ { ( k ) } \geq 0 \text { for all } k \in R \}$ ; confidence 0.074
  
133. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m130140140.png ; $= ( 2 \pi i ) ^ { 1 - n } \int _ { \Delta _ { N } } d t \int _ { S } ( F _ { N } f ) \times \times ( ( 1 - t _ { 2 } - \ldots - t _ { n } ) ( z , \zeta ) , \frac { t _ { 2 } } { \zeta _ { 2 } } ( z , \zeta ) , \ldots , \frac { t _ { n } } { \zeta _ { n } } ( z , \zeta ) ) \frac { d \zeta } { \zeta }$ ; confidence 0.073
+
133. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m130140140.png ; $= ( 2 \pi i ) ^ { 1 - n } \int _ { \Delta _ { n } } d t \int _ { S } ( F _ { n }\, f ) \times \times \left( ( 1 - t _ { 2 } - \ldots - t _ { n } ) ( z , \zeta ) , \frac { t _ { 2 } } { \zeta _ { 2 } } ( z , \zeta ) , \ldots , \frac { t _ { n } } { \zeta _ { n } } ( z , \zeta ) \right) \frac { d \zeta } { \zeta },$ ; confidence 0.073
  
134. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340146.png ; $\alpha _ { H } ( \not \gamma ) - \alpha _ { H } ( x ) = 1$ ; confidence 0.073
+
134. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340146.png ; $\alpha _ { H } ( \tilde{y} ) - \alpha _ { H } ( \tilde{x} ) = 1$ ; confidence 0.073
  
135. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120310/c12031011.png ; $e _ { N } ( F _ { d } ) = \operatorname { inf } _ { Q _ { R } } e ( Q _ { X } , F _ { d } )$ ; confidence 0.073
+
135. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120310/c12031011.png ; $e _ { n } ( F _ { d } ) = \operatorname { inf } _ { Q _ { n } } e ( Q _ { n } , F _ { d } ).$ ; confidence 0.073
  
136. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120310/b12031011.png ; $M _ { R } ^ { \delta } ( f ) ( x ) = \int _ { \{ \xi | \leq R } ( 1 - \frac { | \xi | ^ { 2 } } { R ^ { 2 } } ) ^ { \delta } e ^ { 2 \pi i x \cdot \xi } \hat { f } ( \xi ) d \xi$ ; confidence 0.073
+
136. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120310/b12031011.png ; $M _ { R } ^ { \delta } (\, f ) ( x ) = \int _ { | \xi | \leq R } \left( 1 - \frac { | \xi | ^ { 2 } } { R ^ { 2 } } \right) ^ { \delta } e ^ { 2 \pi i x \cdot \xi } \hat { f } ( \xi ) d \xi .$ ; confidence 0.073
  
137. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011082.png ; $R _ { X } ^ { Y } \times R _ { \xi } ^ { X }$ ; confidence 0.073
+
137. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011082.png ; $\mathbf{R} _ { x } ^ { n } \times \mathbf{R} _ { \xi } ^ { n }$ ; confidence 0.073
  
138. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180504.png ; $R ( \mathfrak { g } ) = W ( \mathfrak { g } ) \in A ^ { 2 } \mathfrak { E } \otimes A ^ { 2 } \overline { E }$ ; confidence 0.073
+
138. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180504.png ; $R ( \tilde{ g } ) = W ( \tilde { g } ) \in \mathsf{A} ^ { 2 } \tilde{ \mathcal{E} } \otimes \mathsf{A} ^ { 2 } \tilde{ \mathcal{E} }$ ; confidence 0.073
  
139. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130010/m13001029.png ; $\langle \alpha _ { 1 } , \dots , a _ { x } \rangle$ ; confidence 0.073
+
139. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130010/m13001029.png ; $\langle a _ { 1 } , \dots , a _ { n } \rangle$ ; confidence 0.073
  
140. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130010/m13001032.png ; $v _ { MAP } = \operatorname { arg } \operatorname { max } _ { v _ { j } \in V } P ( a _ { 1 } , \ldots , a _ { n } | v _ { j } ) P ( v _ { j } )$ ; confidence 0.073
+
140. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130010/m13001032.png ; $v _ { \operatorname {MAP} } = \operatorname { arg } \operatorname { max } _ { v _ { j } \in \mathcal{V} } \mathsf{P} ( a _ { 1 } , \ldots , a _ { n } | v _ { j } ) \cdot \mathsf{P} ( v _ { j } ).$ ; confidence 0.073
  
 
141. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110020/l11002057.png ; $a = c _ { 1 } \dots c _ { n }$ ; confidence 0.073
 
141. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110020/l11002057.png ; $a = c _ { 1 } \dots c _ { n }$ ; confidence 0.073
  
142. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120270/a12027077.png ; $W _ { P } ( \rho _ { i z } )$ ; confidence 0.073
+
142. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120270/a12027077.png ; $W _ { P } (\, \rho _ { a } )$ ; confidence 0.073
  
143. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130070/e13007045.png ; $\ll \frac { N ^ { 2 } } { H } + \frac { N } { H } \sum _ { 1 \leq k \leq H } | _ { M < n \leq M + N - k } e ^ { 2 \pi i ( f ( n + k ) - f ( n ) ) } |$ ; confidence 0.073
+
143. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130070/e13007045.png ; $\ll \frac { N ^ { 2 } } { H } + \frac { N } { H } \sum _ { 1 \leq h \leq H } \left| \sum_ { M < n \leq M + N - h } e ^ { 2 \pi i ( \, f ( n + h ) - f ( n ) ) } \right|,$ ; confidence 0.073
  
144. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120280/c12028015.png ; $B : C r s \rightarrow F T o p$ ; confidence 0.073
+
144. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120280/c12028015.png ; $\mathcal{B} : \mathcal{C} \text{rs} \rightarrow \mathcal{FT} \text{op}$ ; confidence 0.073
  
145. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012810/a0128105.png ; $t ^ { 2 }$ ; confidence 0.072
+
145. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012810/a0128105.png ; $t_{1}$ ; confidence 0.072
  
146. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200126.png ; $\oplus _ { i } \overline { G }$ ; confidence 0.072
+
146. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200126.png ; $\oplus _ { i } G_ {i}$ ; confidence 0.072
  
147. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130110/s13011017.png ; $\partial _ { i } f _ { w } = \left\{ \begin{array} { l l } { 0 } & { ifl ( s _ { i } w ) > I ( w ) } \\ { f _ { s _ { i } w } } & { \text { ifl } ( s _ { i } w ) < 1 ( w ) } \end{array} \right.$ ; confidence 0.072
+
147. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130110/s13011017.png ; $\partial _ { i }\, f _ { w } = \left\{ \begin{array} { l l } { 0 } & { \text{if} \ \text{l} ( s _ { i } w ) > \text{l} ( w ), } \\ { f _ { s _ { i } w } } & { \text{if} \ \text{l}( s _ { i } w ) < \text{l}( w ), } \end{array} \right.$ ; confidence 0.072
  
148. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130130/p13013024.png ; $\hat { S } _ { Y }$ ; confidence 0.072
+
148. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130130/p13013024.png ; $\tilde { S } _ { n }$ ; confidence 0.072
  
149. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023086.png ; $( \frac { \partial } { \partial x } ) ^ { \alpha } = ( \frac { \partial } { \partial x _ { 1 } } ) ^ { \alpha _ { 1 } } \dots ( \frac { \partial } { \partial x _ { x } } ) ^ { \alpha _ { N } }$ ; confidence 0.072
+
149. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023086.png ; $\left( \frac { \partial } { \partial x } \right) ^ { \alpha } = \left( \frac { \partial } { \partial x _ { 1 } } \right) ^ { \alpha _ { 1 } } \dots \left( \frac { \partial } { \partial x _ { n } } \right) ^ { \alpha _ { n } }.$ ; confidence 0.072
  
150. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120060/i12006089.png ; $V \in E$ ; confidence 0.072
+
150. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120060/i12006089.png ; $v \in e$ ; confidence 0.072
  
151. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b12021032.png ; $= \sum _ { i = 1 } ^ { k } ( - 1 ) ^ { i + 1 } X X _ { i } \otimes X _ { 1 } \wedge \ldots \wedge R _ { i } \wedge \ldots \wedge X _ { k } +$ ; confidence 0.072
+
151. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b12021032.png ; $= \sum _ { i = 1 } ^ { k } ( - 1 ) ^ { i + 1 } X X _ { i } \bigotimes X _ { 1 } \bigwedge \ldots \bigwedge \hat{X} _ { i } \bigwedge \ldots \bigwedge X _ { k } +$ ; confidence 0.072
  
152. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120100/l12010066.png ; $\| \nabla f \| _ { L } 2 _ { ( R ^ { n } ) } \geq S _ { n } \| f \| _ { L } 2 n / ( n - 2 ) _ { ( R ^ { n } ) }$ ; confidence 0.071
+
152. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120100/l12010066.png ; $\| \nabla f \| _ {{ L } ^ 2   ( \mathbf{R} ^ { n } ) } \geq S _ { n } \|\, f \| _ { L ^{ 2 n / ( n - 2 ) } ( \mathbf{R} ^ { n } ) }$ ; confidence 0.071
  
153. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120080/k12008079.png ; $= \frac { 1 } { ( 2 \pi i ) ^ { n } } \int _ { \partial \Omega } \sum _ { | \alpha | + \beta = n - 1 } ( \prod _ { j = 0 } ^ { m } \frac { \langle \rho ^ { \prime } ( \xi ) , z - p _ { j } \rangle } { \langle \rho ^ { \prime } ( \xi ) , \xi - p _ { j } \rangle } ) \times \times \frac { f ( \xi ) \partial \rho ( \xi ) \wedge ( \overline { \partial } \partial \rho ( \xi ) ) ^ { n - 1 } } { \langle \rho ^ { \prime } ( \xi ) , \xi - p \rangle ^ { \alpha } \langle \rho ^ { \prime } ( \xi ) , \xi - z \rangle ^ { \beta + 1 } }$ ; confidence 0.071
+
153. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120080/k12008079.png ; $= \frac { 1 } { ( 2 \pi i ) ^ { n } } \int _ { \partial \Omega } \sum _ { | \alpha | + \beta = n - 1 } \left( \prod _ { j = 0 } ^ { m } \frac { \langle \rho ^ { \prime } ( \xi ) ,\, z - p _ { j } \rangle } { \langle \rho ^ { \prime } ( \xi ) ,\, \xi - p _ { j } \rangle } \right) \times \times \frac { f ( \xi ) \partial \rho ( \xi ) \wedge ( \overline { \partial } \partial \rho ( \xi ) ) ^ { n - 1 } } { \langle \rho ^ { \prime } ( \xi ) ,\, \xi - p \rangle ^ { \alpha } \langle \rho ^ { \prime } ( \xi ) ,\, \xi - z \rangle ^ { \beta + 1 } },$ ; confidence 0.071
  
154. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012950/a012950198.png ; $t ^ { 18 }$ ; confidence 0.071
+
154. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012950/a012950198.png ; $t ^ { n }$ ; confidence 0.071
  
155. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130110/s13011015.png ; $f _ { w } \in Z [ x _ { 1 } , \dots , x _ { x } ]$ ; confidence 0.071
+
155. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130110/s13011015.png ; $f _ { w } \in \mathbf{Z} [ x _ { 1 } , \dots , x _ { n } ]$ ; confidence 0.071
  
156. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e12010035.png ; $f ^ { em } = 0 = \operatorname { div } t ^ { em } f - \frac { \partial G ^ { em f } } { \partial t }$ ; confidence 0.071
+
156. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e12010035.png ; $\mathbf{f} ^ { \text{em} } = 0 = \operatorname { div } \mathbf{t} ^ { \text{em} \cdot f} - \frac { \partial \mathbf{G} ^ { \text{em}\cdot f } } { \partial t },$ ; confidence 0.071
  
157. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f12021089.png ; $\pi ( \lambda ) = ( \lambda + 2 ) ( \lambda + 1 ) \alpha ^ { 2 } 0 + ( \lambda + 1 ) \alpha ^ { 1 } 0 + a ^ { 0 } =$ ; confidence 0.071
+
157. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f12021089.png ; $\pi ( \lambda ) = ( \lambda + 2 ) ( \lambda + 1 ) a ^ { 2_0 } + ( \lambda + 1 ) a ^ { 1_0 } + a ^ { 0_0 } =$ ; confidence 0.071
  
158. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130020/i13002037.png ; $S _ { k } = E [ \left( \begin{array} { l } { X } \\ { k } \end{array} \right) ] = \sum _ { i = 1 } ^ { n } \left( \begin{array} { l } { i } \\ { k } \end{array} \right) p _ { i }$ ; confidence 0.071
+
158. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130020/i13002037.png ; $S _ { k } = \mathsf{E} \left[ \left( \begin{array} { l } { X } \\ { k } \end{array} \right) \right] = \sum _ { i = 1 } ^ { n } \left( \begin{array} { l } { i } \\ { k } \end{array} \right) p _ { i }$ ; confidence 0.071
  
159. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130130/p13013073.png ; $\zeta _ { \lambda } ^ { + \lambda } = \zeta _ { \lambda } ^ { - \lambda } = i ^ { ( n - \gamma ( \lambda ) ) / 2 } \sqrt { ( \lambda _ { 1 } \ldots \lambda _ { \gamma } ( \lambda ) ) }$ ; confidence 0.071
+
159. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130130/p13013073.png ; $\zeta _ { \lambda } ^ { + \lambda } = \zeta _ { \lambda } ^ { - \lambda } = i ^ { ( n - r ( \lambda ) ) / 2 } \sqrt { ( \lambda _ { 1 } \ldots \lambda _ { r ( \lambda ) } ) }.$ ; confidence 0.071
  
160. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w13008060.png ; $\frac { \Omega _ { x } } { \partial T _ { m } } = \frac { \partial \Omega _ { m } } { \partial T _ { N } }$ ; confidence 0.071
+
160. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w13008060.png ; $\frac { \Omega _ { n } } { \partial T _ { m } } = \frac { \partial \Omega _ { m } } { \partial T _ { n } }.$ ; confidence 0.071
  
161. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f1201105.png ; $| \varphi ( z ) | e ^ { \delta | \overline { | } | } < \infty \text { for some } \delta > 0$ ; confidence 0.071
+
161. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f1201105.png ; $| \varphi ( z ) | e ^ { \delta | z | } < \infty \text { for some } \delta > 0.$ ; confidence 0.071
  
162. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040605.png ; $g _ { S _ { P } , \mathfrak { M } } ( \varphi ) = \operatorname { mng } _ { S } _ { P } , \mathfrak { M } ( \psi )$ ; confidence 0.071
+
162. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040605.png ; $\operatorname {mng} _ { \mathcal{S} _ { P }, \mathfrak { M } } ( \varphi ) = \operatorname { mng } _ { \mathcal{S} _ { P }, \mathfrak { M } } ( \psi )$ ; confidence 0.071
  
163. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040539.png ; $t _ { G } \theta _ { 0 } , \ldots , \theta _ { n - 1 } \gg \xi$ ; confidence 0.070
+
163. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040539.png ; $\vdash _ { \mathcal{G} } \theta _ { 0 } , \ldots , \theta _ { n - 1 } \rhd \xi ,$ ; confidence 0.070
  
164. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110160/f110160101.png ; $X 1 , \dots , X _ { Y } , \dots$ ; confidence 0.070
+
164. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110160/f110160101.png ; $x_1 , \dots , x_ { n } , \dots$ ; confidence 0.070
  
165. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n06663089.png ; $\mathfrak { W } _ { 1 } , \ldots , v _ { n } ( x _ { 1 } , \ldots , x _ { n } ) \in L _ { p } ( R ^ { n } )$ ; confidence 0.070
+
165. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n06663089.png ; $q_{v _ { 1 } , \ldots , v _ { n } } ( x _ { 1 } , \ldots , x _ { n } ) \in L _ { p } ( \mathbf{R} ^ { n } )$ ; confidence 0.070
  
166. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120080/q12008086.png ; $T \int \operatorname { SRPTF } =$ ; confidence 0.069
+
166. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120080/q12008086.png ; $\mathsf{E} [T]_{ \operatorname { SRPTF }} =$ ; confidence 0.069
  
167. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120010/q12001081.png ; $S ( C ) ^ { \mathscr { O } } = H \operatorname { exp } C ^ { d }$ ; confidence 0.069
+
167. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120010/q12001081.png ; $S ( C ) ^ { o } = H \operatorname { exp } C ^ { o }$ ; confidence 0.069
  
168. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110020/l1100207.png ; $\{ G ; , e , - 1 , \vee , \wedge \}$ ; confidence 0.069
+
168. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110020/l1100207.png ; $\{ G ; \cdot , e ,^{ - 1} , \vee , \wedge \}$ ; confidence 0.069
  
169. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120160/s12016034.png ; $n ^ { - k ^ { \prime } j ^ { 2 } }$ ; confidence 0.069
+
169. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120160/s12016034.png ; $n ^ { - k / d }$ ; confidence 0.069
  
170. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c1200801.png ; $C ^ { n } \times n$ ; confidence 0.069
+
170. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c1200801.png ; $C ^ { n \times m}$ ; confidence 0.069
  
171. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220213.png ; $\operatorname { Ext } _ { M H _ { P } ^ { + } } ( R ( 0 ) , H _ { B } ^ { i } ( X ) , R ( j ) )$ ; confidence 0.068
+
171. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220213.png ; $\operatorname { Ext }^{1} _ { \mathcal{MH} _ { \mathbf{R} } ^ { + } } ( \mathbf{R} ( 0 ) , H _ { \text{B} } ^ { i } ( X ) , \mathbf{R} (\, j ) )$ ; confidence 0.068
  
172. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130160/c13016054.png ; $( \pi )$ ; confidence 0.068
+
172. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130160/c13016054.png ; $\text{NSPACE} [t( n )]$ ; confidence 0.068
  
173. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023075.png ; $E ^ { \vec { \alpha } } ( L ) = \frac { \partial L } { \partial y ^ { \alpha } } - D _ { i } ( \frac { \partial L } { \partial y ^ { \alpha _ { i } } } )$ ; confidence 0.068
+
173. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023075.png ; $\mathcal{E} ^ { } ( L ) = \frac { \partial L } { \partial y ^ { a } } - D _ { i } \left( \frac { \partial L } { \partial y ^ { a _ { i } } } \right),$ ; confidence 0.068
  
174. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130190/b13019051.png ; $\sum _ { m = 1 } b ( m ) e ( \frac { m a } { q } ) g ( m ) = \sum _ { N } b ( n ) e ( - n \frac { \overline { a } } { q } ) L g ( n )$ ; confidence 0.068
+
174. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130190/b13019051.png ; $\sum _ { m } b ( m ) e \left( \frac { m a } { q } \right) g ( m ) = \sum _ { n } b ( n ) e \left( - n \frac { \overline { a } } { q } \right) \mathcal{L} g ( n ),$ ; confidence 0.068
  
175. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120150/e12015052.png ; $g ^ { 2 } j , k ^ { \prime } 2$ ; confidence 0.068
+
175. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120150/e12015052.png ; $g ^ { i }_{ ; j ; k } / 2$ ; confidence 0.068
  
176. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130230/m130230147.png ; $( ( X _ { n } + 1 , B _ { n } + 1 ) , f _ { n + 1 } ) = ( ( Y , \phi , \Phi _ { n } ) , f _ { n } \circ \phi ^ { - 1 } )$ ; confidence 0.068
+
176. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130230/m130230147.png ; $( ( X _ { n + 1} , B _ { n + 1} ) , f _ { n + 1 } ) = ( ( Y , \phi_{ * } B _ { n } ) , f _ { n } \circ \phi ^ { - 1 } )$ ; confidence 0.068
  
177. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110260/b11026010.png ; $X ^ { \prime } = \sqrt { X ^ { 2 } + \hat { y } ^ { 2 } } e ^ { ( \operatorname { arctan } y / X + k \pi ) \rho / \omega } - X _ { H } + \Re$ ; confidence 0.068
+
177. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110260/b11026010.png ; $X ^ { \prime } = \sqrt { X ^ { 2 } + \tilde { y } ^ { 2 } } e ^ { ( \operatorname { arctan } \tilde{y} / X + k \pi ) \rho / \omega } - X _ { H } + \tilde{x},$ ; confidence 0.068
  
178. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s13064026.png ; $T ( \alpha ) = ( \alpha _ { j } - k ) j _ { j , k } ^ { \infty } = 0$ ; confidence 0.068
+
178. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s13064026.png ; $T ( a ) = ( a _ { j - k} ) _ { j , k = 0} ^ { \infty }$ ; confidence 0.068
  
179. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040530.png ; $\varphi _ { 0 } , \ldots , \varphi _ { n - 1 } \gg \varphi _ { n }$ ; confidence 0.068
+
179. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040530.png ; $\varphi _ { 0 } , \ldots , \varphi _ { n - 1 } \rhd \varphi _ { n }$ ; confidence 0.068
  
180. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110260/b11026018.png ; $x = \tilde { y } = 0$ ; confidence 0.068
+
180. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110260/b11026018.png ; $ \tilde {x} = \tilde { y } = 0$ ; confidence 0.068
  
181. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180201.png ; $S ^ { 2 } \varepsilon \otimes S ^ { 2 } E \subset \varnothing ^ { 4 } E$ ; confidence 0.068
+
181. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180201.png ; $\mathsf{S} ^ { 2 } \mathcal{E} \otimes \mathsf{S} ^ { 2 } \mathcal{E} \subset \bigotimes ^ { 4 } \mathcal{E}$ ; confidence 0.068
  
182. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i13003046.png ; $a | _ { T } * _ { A B } g$ ; confidence 0.068
+
182. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i13003046.png ; $a | _ { T ^{*} M ^{ g }}$ ; confidence 0.068
  
183. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m130140112.png ; $= \{ z : \sum _ { l = 1 } ^ { n } b _ { j } ^ { l } | c _ { l } ^ { p } ( z _ { 1 } - a _ { 1 } ) + \ldots + c _ { l n } ^ { p } ( z _ { n } - a _ { n } ) | ^ { 2 } < r _ { j , k } ^ { 2 } \} , b _ { j } ^ { l } > 0 ; j = 1 , \ldots , n ; k = 1,2 ; p = 1 , \ldots , n$ ; confidence 0.067
+
183. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m130140112.png ; $= \left\{ z : \sum _ { l = 1 } ^ { n } b _ { j } ^ { l } | c _ { l1 } ^ { p } ( z _ { 1 } - a _ { 1 } ) + \ldots + c _ { l n } ^ { p } ( z _ { n } - a _ { n } ) | ^ { 2 } < r _ { j , k } ^ { 2 } \right\} ,\; b _ { j } ^ { l } > 0 ;\; j = 1 , \ldots , n ;
 +
\; k = 1,2 ;\; p = 1 , \ldots , n.$ ; confidence 0.067
  
184. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120210/t12021039.png ; $\chi ( G ; \lambda ) = \lambda ^ { \ell ( G ) } ( - 1 ) ^ { v ( G ) - c ( G ) } t ( M _ { G } , 1 - \lambda , 0 )$ ; confidence 0.067
+
184. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120210/t12021039.png ; $\chi ( G ; \lambda ) = \lambda ^ { c ( G ) } ( - 1 ) ^ { v ( G ) - c ( G ) } t ( M _ { G } , 1 - \lambda , 0 ),$ ; confidence 0.067
  
185. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c12021052.png ; $L _ { \aleph } = L ( \Lambda _ { \aleph } | P _ { N } )$ ; confidence 0.067
+
185. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c12021052.png ; $\mathcal{L} _ { n } = \mathcal{L} ( \Lambda _ { n } | P _ { n } )$ ; confidence 0.067
  
186. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130010/i13001022.png ; $d ( n ) ( A ) = \operatorname { per } ( A ) = \sum _ { \sigma \in S _ { n } } \prod _ { i = 1 } ^ { n } a _ { i \sigma ( i ) }$ ; confidence 0.067
+
186. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130010/i13001022.png ; $d _{( n )} ( A ) = \operatorname { per } ( A ) = \sum _ { \sigma \in S _ { n } } \prod _ { i = 1 } ^ { n } a _ { i \sigma ( i ) }.$ ; confidence 0.067
  
187. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900203.png ; $£ + 1 e$ ; confidence 0.067
+
187. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900203.png ; $eAe$ ; confidence 0.067
  
188. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120130/t12013062.png ; $y _ { 1 } , \dots , y _ { p } , \dots ; x _ { p } - y _ { p } , x _ { 2 } p - y _ { 2 } p , \dots )$ ; confidence 0.067
+
188. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120130/t12013062.png ; $y _ { 1 } , \dots , \hat{y} _ { p } , \dots ; x _ { p } - y _ { p } , x _ { 2 p} - y _ { 2 p} , \dots )$ ; confidence 0.067
  
189. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130060/w13006019.png ; $\overline { M g _ { , n } }$ ; confidence 0.067
+
189. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130060/w13006019.png ; $\overline { \mathcal{M}_ { g , n } }$ ; confidence 0.067
  
190. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120140/e12014028.png ; $t \uparrow , \dots , t _ { \rho } ( f ) \in T$ ; confidence 0.067
+
190. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120140/e12014028.png ; $t_{1} , \dots , t _ { \rho (\, f ) } \in T$ ; confidence 0.067
  
191. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130220/b130220112.png ; $\rho _ { \operatorname { max } } = \operatorname { sup } \{ \rho = \rho ( B ) : T \text { star shaped w. } r . t . B \}$ ; confidence 0.067
+
191. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130220/b130220112.png ; $\rho _ { \operatorname { max } } = \operatorname { sup } \{ \rho = \rho ( B ) : T\, \text { star shaped w.r.t. } B \}.$ ; confidence 0.067
  
192. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t12020079.png ; $\operatorname { max } _ { r = 1 , \ldots , c n } \frac { | z _ { 1 } ^ { \prime } + \ldots + z _ { n } ^ { \prime } | } { \operatorname { min } _ { k = 1 , \ldots , n } | z _ { k } ^ { \prime } | } \geq m$ ; confidence 0.067
+
192. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t12020079.png ; $\operatorname { max } _ { r = 1 , \ldots , c n } \frac { | z _ { 1 } ^ { r } + \ldots + z _ { n } ^ { r } | } { \operatorname { min } _ { k = 1 , \ldots , n } | z _ { k } ^ { r } | } \geq m.$ ; confidence 0.067
  
193. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a120070110.png ; $\{ u \in \cap _ { q \in ( R , \infty ) } W ^ { 2 m , q } ( \Omega ) : B _ { j } ( t , . , D _ { x } ) u \in C ( \overline { \Omega } )$ ; confidence 0.067
+
193. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a120070110.png ; $\left\{ u \in \cap _ { q \in ( n , \infty ) } W ^ { 2 m , q } ( \Omega ) : \begin{array}{l} {  L(t, \cdot , D_x) u \in C ( \overline { \Omega } ),  } \\ {B _ { j } ( t , \cdot , D _ { x } ) u=0 \ \text{ on }  \partial \Omega,} \\ {j=1, \dots , m} \end{array} \right\},\; A(t)u=L(\cdot , t , D_x)u \ \text{ for } \ u \in D(A(t)),$ ; confidence 0.067
  
194. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130100/w13010046.png ; $b \mapsto I ^ { k i x } ( b )$ ; confidence 0.067
+
194. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130100/w13010046.png ; $b \mapsto I ^ { \kappa_a } ( b )$ ; confidence 0.067
  
195. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h12012024.png ; $( x _ { - } \overline { y } Y , \phi )$ ; confidence 0.067
+
195. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h12012024.png ; $( X \leftrightarrows _{f} ^{\nabla } Y , \phi ).$ ; confidence 0.067
  
196. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f13010065.png ; $\lambda ^ { p } ( \mu ) [ \varphi ] = [ \varphi ^ { * } \Delta _ { G } ^ { 1 / p ^ { \prime } } \not \sim \rceil ]$ ; confidence 0.066
+
196. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f13010065.png ; $\lambda ^ { p } ( \mu ) [ \varphi ] = [ \varphi * \Delta _ { G } ^ { 1 / p ^ { \prime } } \check{\mu} ]$ ; confidence 0.066
  
197. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120070/q12007042.png ; $R = R _ { q ^ { 2 } } e _ { q ^ { - 2 } } ^ { ( q - q ^ { - 1 } ) E } \varnothing$ ; confidence 0.066
+
197. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120070/q12007042.png ; $\mathcal{R} = \mathcal{R} _ { q ^ { 2 } } e _ { q ^ { - 2 } } ^ { ( q - q ^ { - 1 } ) E \bigotimes F },$ ; confidence 0.066
  
198. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130040/i13004026.png ; $( N + 1 ) ^ { - 1 } \| \sum _ { k = 0 } ^ { N } c _ { k } D _ { k } \| _ { L } \leq \operatorname { max } _ { 0 \leq k \leq N } | \mathfrak { c } _ { k } |$ ; confidence 0.066
+
198. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130040/i13004026.png ; $( N + 1 ) ^ { - 1 } \left\| \sum _ { k = 0 } ^ { N } c _ { k } D _ { k } \right\| _ { L^{1} } \leq \operatorname { max } _ { 0 \leq k \leq N } | c _ { k } |,$ ; confidence 0.066
  
199. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b120420140.png ; $\sum h ( 1 ) v ^ { ( T ) } \bigotimes h ( 2 ) \supset v ^ { ( 2 ) } =$ ; confidence 0.066
+
199. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b120420140.png ; $\sum h_{ ( 1 )} v ^ { \overline{( 1 )} } \bigotimes h_{ ( 2 )} \rhd v ^ { \overline{( 2 )} } =$ ; confidence 0.066
  
200. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l12012087.png ; $Z _ { \text { tot } S } = Z$ ; confidence 0.066
+
200. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l12012087.png ; $\mathbf{Z} _ { \text { tot } S } = \tilde{\mathbf{Z}}$ ; confidence 0.066
  
201. https://www.encyclopediaofmath.org/legacyimages/y/y120/y120010/y12001053.png ; $r _ { t } ^ { s k } \in \dot { k }$ ; confidence 0.066
+
201. https://www.encyclopediaofmath.org/legacyimages/y/y120/y120010/y12001053.png ; $r _ { t \text{l}} ^ { s k } \in k $ ; confidence 0.066
  
202. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120020/b12002023.png ; $= 2 ^ { 5 / 4 } 3 ^ { - 3 / 4 } ( t ( 1 - t ) ) ^ { 1 / 4 } \text { as., } n ^ { 1 / 4 } ( \alpha _ { n } ( t ) + \beta _ { n } ( t ) ) \stackrel { d } { \rightarrow } Z [ B ( t ) ] ^ { 1 / 2 }$ ; confidence 0.066
+
202. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120020/b12002023.png ; $= 2 ^ { 5 / 4 } 3 ^ { - 3 / 4 } ( t ( 1 - t ) ) ^ { 1 / 4 } \text { a.s., } n ^ { 1 / 4 } ( \alpha _ { n } ( t ) + \beta _ { n } ( t ) ) \stackrel { d } { \rightarrow } Z [ B ( t ) ] ^ { 1 / 2 },$ ; confidence 0.066
  
 
203. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340181.png ; $\tilde { x } _ { i } = ( x _ { i } , u _ { i } )$ ; confidence 0.065
 
203. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340181.png ; $\tilde { x } _ { i } = ( x _ { i } , u _ { i } )$ ; confidence 0.065
  
204. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130380/s13038052.png ; $K ( z , \delta ) : = \left\{ \begin{array}{l}{ t _ { i } = z _ { i } }\\{ ( t _ { 1 } , t _ { 2 } ) : | z _ { j } - t _ { j } | < \delta }\\{ i , j = 1,2 , i \neq j }\end{array} \right\}$ ; confidence 0.065
+
204. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130380/s13038052.png ; $K ( z , \delta ) : = \left\{ \begin{array}{l} {} & { t _ { i } = z _ { i }, }\\{ ( t _ { 1 } , t _ { 2 } ) :} &{ | z _ { j } - t _ { j } | < \delta, }\\{} & { i , j = 1,2 , i \neq j }\end{array} \right\}$ ; confidence 0.065
  
205. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130100/l1301006.png ; $l _ { \alpha } p : = \{ x : \alpha x = p \}$ ; confidence 0.065
+
205. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130100/l1301006.png ; $\text{l} _ { \alpha p} : = \{ x : \alpha \cdot x = p \}$ ; confidence 0.065
  
206. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130120/w13012037.png ; $\pi v d$ ; confidence 0.065
+
206. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130120/w13012037.png ; $T_{\text{W}d}$ ; confidence 0.065
  
207. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110500/a11050052.png ; $7.9$ ; confidence 0.065
+
207. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110500/a11050052.png ; $\mathcal{V}$ ; confidence 0.065
  
208. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120350/s12035034.png ; $\left\{ \begin{array} { r l r l } { X _ { N } = H ( N , X _ { N - 1 } , y ( N ) , u ( N ) ) } & { } & { } \\ { \theta } & { \theta } & { N = h ( X _ { N } ) } \end{array} \right.$ ; confidence 0.065
+
208. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120350/s12035034.png ; $\left\{ \begin{array} { r l r l } { X _ { N } = H ( N , X _ { N - 1 } , y ( N ) , u ( N ) ), } \\ { \hat{\theta}_{N} = h ( X _ { N } ), } \end{array} \right.$ ; confidence 0.065
  
209. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110170/c11017041.png ; $t ^ { \prime \prime }$ ; confidence 0.065
+
209. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110170/c11017041.png ; $C ^ { \prime }$ ; confidence 0.065
  
210. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006097.png ; $( .1 | B ) = Bel \oplus Bel$ ; confidence 0.065
+
210. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006097.png ; $\operatorname{Bel} ( \cdot | | B ) =\operatorname{Bel} \bigoplus \operatorname{Bel}_B .$ ; confidence 0.065
  
211. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e12010038.png ; $t ^ { eM }$ ; confidence 0.065
+
211. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e12010038.png ; $\mathbf{t} ^ { \text{em}\cdot f }$ ; confidence 0.065
  
212. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040425.png ; $\langle A , F \rangle \in M od ^ { * } L D$ ; confidence 0.065
+
212. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040425.png ; $\langle \mathbf{A} , F \rangle \in \operatorname{Mod} ^ { * \text{L}} \mathcal{D}$ ; confidence 0.065
  
213. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130020/s13002015.png ; $0.01$ ; confidence 0.065
+
213. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130020/s13002015.png ; $dm \times dv$ ; confidence 0.065
  
214. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c12017072.png ; $\gamma _ { i } + i _ { j } + k$ ; confidence 0.064
+
214. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c12017072.png ; $\gamma _ { i + l ,\,  j + k}$ ; confidence 0.064
  
215. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023020.png ; $\Delta = \frac { 1 } { \mathfrak { c } 0 } \left( \begin{array} { c c c } { \mathfrak { c } ^ { 2 } - \mathfrak { c } _ { 1 } ^ { 2 } } & { \square } & { \mathfrak { c } _ { 1 } \mathfrak { w } - \mathfrak { c } _ { 1 } \mathfrak { c } _ { 2 } } \\ { \mathfrak { c } _ { 1 } \mathfrak { c } _ { 0 } - \mathfrak { c } _ { 1 } \mathfrak { c } _ { 2 } } & { \square } & { \mathfrak { c } _ { 0 } ^ { 2 } - \mathfrak { c } _ { 2 } ^ { 2 } } \end{array} \right)$ ; confidence 0.064
+
215. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023020.png ; $\Delta = \frac { 1 } { c_0 } \left( \begin{array} { c c c } { c_0^ { 2 } - c_ { 1 } ^ { 2 } } & { \square } & { c _ { 1 } c_{0} - c _ { 1 } c _ { 2 } } \\ { c _ { 1 } c _ { 0 } - c _ { 1 } c _ { 2 } } & { \square } & { c _ { 0 } ^ { 2 } - c _ { 2 } ^ { 2 } } \end{array} \right).$ ; confidence 0.064
  
216. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058790/l0587906.png ; $x _ { 1 } y$ ; confidence 0.064
+
216. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058790/l0587906.png ; $x, v$ ; confidence 0.064
  
217. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120280/c12028052.png ; $C r s$ ; confidence 0.064
+
217. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120280/c12028052.png ; $\mathcal{C} \text{rs}$ ; confidence 0.064
  
218. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005034.png ; $\operatorname { lim } _ { t \rightarrow S } U ( t , s ) u _ { 0 } = u _ { 0 } \text { for } u _ { 0 } \in \overline { D ( A ( s ) ) }$ ; confidence 0.064
+
218. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005034.png ; $\operatorname { lim } _ { t \rightarrow s } U ( t , s ) u _ { 0 } = u _ { 0 }\; \text { for } u _ { 0 } \in \overline { D ( A ( s ) ) }.$ ; confidence 0.064
  
219. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120250/b12025010.png ; $\Omega \vec { t }$ ; confidence 0.064
+
219. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120250/b12025010.png ; $\Omega G$ ; confidence 0.064
  
220. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b120210133.png ; $\dot { u } _ { 1 } v _ { 1 } v _ { 2 }$ ; confidence 0.064
+
220. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b120210133.png ; $i_{w _ { 1 } , w_ { 2 }}$ ; confidence 0.064
  
221. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n06663095.png ; $_ { 1 } , \ldots , v _ { n } ( f ) \leq c \sum _ { l = 1 } ^ { n } \frac { M _ { i } } { v _ { i } ^ { r _ { i } } }$ ; confidence 0.064
+
221. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n06663095.png ; $E_{v_ { 1 } , \ldots , v _ { n }} (\, f ) \leq c \sum _ { i = 1 } ^ { n } \frac { M _ { i } } { v _ { i } ^ { r _ { i } } }$ ; confidence 0.064
  
222. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120320/b12032093.png ; $\frac { 1 } { p } : = \frac { \operatorname { log } a _ { \mathfrak { M } } } { \operatorname { log } m } = \frac { \operatorname { log } a _ { R } } { \operatorname { log } n } \text { for all } m , n \geq 2$ ; confidence 0.063
+
222. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120320/b12032093.png ; $\frac { 1 } { p } : = \frac { \operatorname { log } a _ { }} { \operatorname { log } m } = \frac { \operatorname { log } a _ { n } } { \operatorname { log } n }\; \text { for all } m , n \geq 2.$ ; confidence 0.063
  
223. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057020/l05702026.png ; $\mu _ { i } n _ { 1 } X$ ; confidence 0.063
+
223. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057020/l05702026.png ; $\mu _ { l^{n} ,\,  X}$ ; confidence 0.063
  
224. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f12021086.png ; $\eta$ ; confidence 0.063
+
224. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f12021086.png ; $n_j$ ; confidence 0.063
  
225. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b12022091.png ; $d \xi = c d v I ^ { \overline { y } - 1 } d I$ ; confidence 0.063
+
225. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b12022091.png ; $d \xi = c d v I ^ { d- 1 } d I$ ; confidence 0.063
  
226. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130010/l13001044.png ; $\underset { = \rightarrow 0 } { \operatorname { nsup } } \frac { 1 } { \varepsilon } \text { meas } \{ x : \rho ( x , \partial B ) < \varepsilon \} < \infty$ ; confidence 0.063
+
226. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130010/l13001044.png ; $\limsup_{\varepsilon \rightarrow 0} \frac { 1 } { \varepsilon } \text { meas } \{ x : \rho ( x , \partial B ) < \varepsilon \} < \infty,$ ; confidence 0.063
  
227. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120260/a120260114.png ; $y _ { i } \in A ( X _ { 1 } , \dots , X _ { i } \rangle$ ; confidence 0.063
+
227. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120260/a120260114.png ; $y _ { i } \in A \langle X _ { 1 } , \dots , X _ { s_i } \rangle$ ; confidence 0.063
  
228. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018065.png ; $i$ ; confidence 0.063
+
228. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018065.png ; $\mathbf{\mathsf{RCA}}_n$ ; confidence 0.063
  
229. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d130060124.png ; $\operatorname { Bel } _ { X } ^ { | Z | } = \operatorname { Bel } _ { Z | Y } \oplus \operatorname { Bel } _ { X } ^ { \perp Y }$ ; confidence 0.063
+
229. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d130060124.png ; $\operatorname { Bel } _ { X } ^ { \downarrow Z \bigcup Y } = \operatorname { Bel } _ { Z | Y } \bigoplus \operatorname { Bel } _ { X } ^ { \downarrow Y }.$ ; confidence 0.063
  
230. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b13029061.png ; $[ ( \alpha _ { 1 } , \dots , \alpha _ { t - 1 } ) : \alpha _ { i } ] / ( \alpha _ { 1 } , \dots , \alpha _ { i - 1 } ) , 1 \leq i \leq d$ ; confidence 0.063
+
230. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b13029061.png ; $[ ( a _ { 1 } , \dots , a _ { i - 1 } ) : a _ { i } ] / ( a _ { 1 } , \dots , a _ { i - 1 } ) ,\;  1 \leq i \leq d,$ ; confidence 0.063
  
231. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130020/f1300202.png ; $\vec { c } ^ { d } ( x )$ ; confidence 0.063
+
231. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130020/f1300202.png ; $\overline { c } ^ { a } ( x )$ ; confidence 0.063
  
232. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340107.png ; $\overline { X } + = ( X _ { + } , u + )$ ; confidence 0.062
+
232. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340107.png ; $\tilde { x }_{ + }= ( x _ { + } , u _{+} )$ ; confidence 0.062
  
233. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006034.png ; $E _ { 1 } , \dots , E _ { X }$ ; confidence 0.062
+
233. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006034.png ; $\Xi _ { 1 } , \dots , \Xi _ { n }$ ; confidence 0.062
  
234. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009046.png ; $\int _ { - \frac { \pi } { 2 } } ^ { \xi } \frac { 1 - a i } { s } d s = \operatorname { ln } ( \frac { \xi } { z } ) ^ { 1 - \alpha i }$ ; confidence 0.062
+
234. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009046.png ; $\int _ { z } ^ { \xi } \frac { 1 - a i } { s } d s = \operatorname { ln } \left( \frac { \xi } { z } \right) ^ { 1 - a i }$ ; confidence 0.062
  
235. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023091.png ; $y ^ { ( r ) } = \{ y _ { \alpha } ^ { \alpha } \} _ { | \alpha | = r } ^ { \alpha = 1 , \ldots , m }$ ; confidence 0.062
+
235. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023091.png ; $y ^ { ( r ) } = \{ y _ { \alpha } ^ { a } \} _ { | \alpha | = r } ^ { a = 1 , \ldots , m }$ ; confidence 0.062
  
236. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l12003083.png ; $T _ { E } R ^ { * } = \prod _ { \text { Homgrp } ( E , U ) } H ^ { * } B V$ ; confidence 0.062
+
236. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l12003083.png ; $T _ { E } R ^ { * } = \prod _ { \text { Hom}_{ \text{grp} } ( E , V ) } H ^ { * } B V,$ ; confidence 0.062
  
237. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130210/b13021038.png ; $\gamma _ { 112 }$ ; confidence 0.062
+
237. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130210/b13021038.png ; $\gamma _ { w }$ ; confidence 0.062
  
238. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130060/h13006066.png ; $= \{ \left( \begin{array} { l l } { a } & { b } \\ { c } & { d } \end{array} \right) \in SL ( 2 , Z ) : \left( \begin{array} { c c } { \alpha } & { b } \\ { c } & { d } \end{array} \right) \equiv \left( \begin{array} { l l } { 1 } & { 0 } \\ { 0 } & { 1 } \end{array} \right) ( \operatorname { mod } n ) \}$ ; confidence 0.062
+
238. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130060/h13006066.png ; $= \left\{ \left( \begin{array} { l l } { a } & { b } \\ { c } & { d } \end{array} \right) \in \operatorname{SL} ( 2 , \mathbf{Z} ) : \left( \begin{array} { c c } { a } & { b } \\ { c } & { d } \end{array} \right) \equiv \left( \begin{array} { l l } { 1 } & { 0 } \\ { 0 } & { 1 } \end{array} \right) ( \operatorname { mod } n ) \right\},$ ; confidence 0.062
  
239. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120280/c12028035.png ; $B ( CRS ( \pi ( X \times ) , C ) ) \rightarrow ( B C ) ^ { X }$ ; confidence 0.062
+
239. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120280/c12028035.png ; $B ( \operatorname{CRS} ( \pi ( X_{ * } ) , C ) ) \rightarrow ( B C ) ^ { X }$ ; confidence 0.062
  
240. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130230/b13023019.png ; $\nabla$ ; confidence 0.061
+
240. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130230/b13023019.png ; $m$ ; confidence 0.061
  
241. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o130010140.png ; $\| f _ { m } \| _ { C } 2 , \lambda \leq \mathfrak { c } _ { 0 } = const > 0$ ; confidence 0.061
+
241. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o130010140.png ; $\|\,  f _ { m } \| _ { C ^{ 2 , \lambda}} \leq c _ { 0 } = \text{const } > 0$ ; confidence 0.061
  
242. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020280/c02028027.png ; $x ^ { 3 } ( x )$ ; confidence 0.061
+
242. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020280/c02028027.png ; $d \omega$ ; confidence 0.061
  
243. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120210/t12021073.png ; $h _ { 11 } ( x ) = t ( x , 1 )$ ; confidence 0.061
+
243. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120210/t12021073.png ; $h _ { M } ( x ) = t ( x , 1 )$ ; confidence 0.061
  
244. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030290/d03029025.png ; $\| g \| = \operatorname { max } _ { x \in [ i , b ] } | g ( x ) |$ ; confidence 0.061
+
244. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030290/d03029025.png ; $\| g \| = \operatorname { max } _ { x \in [ a , b ] } | g ( x ) |$ ; confidence 0.061
  
245. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040414.png ; $^ { * } L D = S PP _ { U } Mod ^ { * } L _ { D }$ ; confidence 0.061
+
245. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040414.png ; $\operatorname{Mod} ^ { * \text{L}} \mathcal{D} = \mathbf{SPP} _ { \text{U} } \operatorname{Mod} ^ { * \text{L}}  \mathcal{D} $ ; confidence 0.061
  
246. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120010/c120010201.png ; $C ^ { \prime } D ^ { \prime }$ ; confidence 0.060
+
246. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120010/c120010201.png ; $\mathbf{CP} ^ { n }$ ; confidence 0.060
  
247. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120270/s1202707.png ; $a _ { 1 } , x$ ; confidence 0.060
+
247. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120270/s1202707.png ; $a _ { v,n}$ ; confidence 0.060
  
248. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120120/w12012024.png ; $R _ { x y } \equiv R ^ { c } \square _ { x x b }$ ; confidence 0.060
+
248. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120120/w12012024.png ; $R _ { ab } \equiv R ^ { c } \square _ { a c b }$ ; confidence 0.060
  
249. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g13002018.png ; $D Q$ ; confidence 0.060
+
249. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g13002018.png ; $s\operatorname{log} \alpha$ ; confidence 0.060
  
250. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d12002011.png ; $( S ) g ( \overline { u } _ { 1 } ) = \left\{ \begin{array} { c l } { \operatorname { min } } & { c ^ { T } x + \overline { u } ^ { T } ( A _ { 1 } x - b _ { 1 } ) } \\ { \text { s.t. } } & { A _ { 2 } x \leq b _ { 2 } } \\ { x } & { \geq 0 } \end{array} \right.$ ; confidence 0.060
+
250. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d12002011.png ; $( \text{S} ) g ( \overline { u } _ { 1 } ) = \left\{ \begin{array} { c l } { \operatorname { min } } & { c ^ { T } x + \overline { u } _{1} ^ { T } ( A _ { 1 } x - b _ { 1 } ) } \\ { \text { s.t. } } & { A _ { 2 } x \leq b _ { 2 }, } \\ { } & { x \geq 0, } \end{array} \right.$ ; confidence 0.060
  
251. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a11030037.png ; $C ^ { 4 } P ^ { 3 }$ ; confidence 0.060
+
251. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a11030037.png ; $\mathbf{C}P ^ { n }$ ; confidence 0.060
  
252. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120100/b12010035.png ; $= \sum _ { n = 0 } ^ { \infty } \int d x _ { s } + 1 \cdots d x _ { s } + n U ^ { ( n ) } t F _ { s } + n ( 0 , x _ { 1 } , \dots , x _ { s } + n )$ ; confidence 0.060
+
252. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120100/b12010035.png ; $= \sum _ { n = 0 } ^ { \infty } \int d x _ { s + 1} \cdots d x _ { s + n} U ^ { ( n )_t } F _ { s + n} ( 0 , x _ { 1 } , \dots , x _ { s + n} ),$ ; confidence 0.060
  
253. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c130070150.png ; $4 a ^ { - 3 } v$ ; confidence 0.060
+
253. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c130070150.png ; $ud v$ ; confidence 0.060
  
254. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l12012086.png ; $K _ { \text { tot } } s = \overline { Q }$ ; confidence 0.060
+
254. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l12012086.png ; $K _ { \text { tot }S } = \tilde { \mathbf{Q} }$ ; confidence 0.060
  
255. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b12015056.png ; $d _ { n } ^ { * } \in \cap _ { \subsetneq \in P } L _ { 2 } ( \Omega , A , P )$ ; confidence 0.060
+
255. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b12015056.png ; $d _ { n } ^ { * } \in \cap _ { \mathsf{P} \in \mathcal{P} } L _ { 2 } ( \Omega , \mathcal{A} , \mathsf{P} )$ ; confidence 0.060
  
256. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040145.png ; $T , \varphi \operatorname { log } 5 \psi$ ; confidence 0.060
+
256. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040145.png ; $T , \varphi \vdash_{\text{S}5} \psi$ ; confidence 0.060
  
257. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130450/s13045018.png ; $r _ { D }$ ; confidence 0.060
+
257. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130450/s13045018.png ; $r _ { S }$ ; confidence 0.060
  
258. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120150/l12015052.png ; $\times \alpha ( x 0 , \dots , x _ { i } - 1 , [ x _ { i } , x _ { j } ] , x _ { i } + 1 , \dots , x _ { j } , \dots , x _ { x } )$ ; confidence 0.060
+
258. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120150/l12015052.png ; $\times \alpha ( x_0 , \dots , x _ { i - 1} , [ x _ { i } , x _ { j } ] , x _ { i + 1} , \dots , \widehat{x _ { j }} , \dots , x _ { n } ).$ ; confidence 0.060
  
259. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009030.png ; $p _ { 1 } ( f , \tau ) = p ( e ^ { i \alpha \| n \tau } f , \tau )$ ; confidence 0.060
+
259. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009030.png ; $p _ { 1 } (\, f , \tau ) = p ( e ^ { i a \text{ln } \tau } f , \tau ).$ ; confidence 0.060
  
260. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230176.png ; $E ( L ) = E ^ { \mathscr { L } } ( L ) \omega ^ { \mathscr { K } } \otimes \Delta$ ; confidence 0.060
+
260. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230176.png ; $\mathcal{E} ( L ) = \mathcal{E} ^ { a } ( L ) \omega ^ { a } \otimes \Delta$ ; confidence 0.060
  
261. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130050/g13005086.png ; $\left( \begin{array} { c c c c } { 1 } & { p _ { 0 } ^ { 1 } } & { \dots } & { p _ { 0 } ^ { k } } \\ { \vdots } & { \vdots } & { \ddots } & { \vdots } \\ { 1 } & { p _ { k } ^ { 1 } } & { \cdots } & { p _ { i k } ^ { k } } \end{array} \right) | _ { 1 \leq i _ { 0 } < \ldots < i _ { k } \leq n }$ ; confidence 0.059
+
261. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130050/g13005086.png ; $\left( \text{sign det} \left( \begin{array} { c c c c } { 1 } & { p _ { i_0 } ^ { 1 } } & { \dots } & { p _ { i_0 } ^ { k } } \\ { \vdots } & { \vdots } & { \ddots } & { \vdots } \\ { 1 } & { p _ { i_k } ^ { 1 } } & { \cdots } & { p _ { i_ k } ^ { k } } \end{array} \right) \right) _ { 1 \leq i _ { 0 } < \ldots < i _ { k } \leq n } .$ ; confidence 0.059
  
262. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130060/h13006048.png ; $u _ { . Y } = \sum _ { w } \mu ( u _ { . v } , w ) w$ ; confidence 0.059
+
262. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130060/h13006048.png ; $u\cdot v = \sum _ { w } \mu ( u \cdot v , w ) w$ ; confidence 0.059
  
263. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120240/s12024056.png ; $z ^ { \gamma } = \{ z _ { i } ^ { N } , x _ { i } ^ { n + 1 } \}$ ; confidence 0.059
+
263. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120240/s12024056.png ; $\mathbf{z} ^ { n } = \{ z _ { i } ^ { n } , x _ { i } ^ { n + 1 } \}$ ; confidence 0.059
  
264. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130450/s13045028.png ; $= 12 E [ F x ( X ) F _ { \gamma } ( Y ) ] - 3$ ; confidence 0.059
+
264. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130450/s13045028.png ; $= 12 \mathsf{E} [ F_{ X} ( X ) F _ { Y } ( Y ) ] - 3.$ ; confidence 0.059
  
265. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130090/t13009034.png ; $j _ { l }$ ; confidence 0.059
+
265. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130090/t13009034.png ; $h ^ {\prime }$ ; confidence 0.059
  
266. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001089.png ; $\left. \begin{array} { c c c c c } { \square } & { \square } & { C ( S ) } & { \square } & { \square } \\ { \square } & { \swarrow } & { \square } & { \searrow } & { \square } \\ { Z } & { \square } & { \downarrow } & { \square } & { S } \\ { \square } & { \searrow } & { \square } & { \swarrow } & { \square } \\ { \square } & { \square } & { O } & { \square } & { \square } \end{array} \right.$ ; confidence 0.059
+
266. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001089.png ; $\left. \begin{array} { c c c c c } { \square } & { \square } & { C ( \mathcal{S} ) } & { \square } & { \square } \\ { \square } & { \swarrow } & { \square } & { \searrow } & { \square } \\ { \mathcal{Z} } & { \square } & { } & { \square } & { \mathcal{S}. } \\ { \square } & { \searrow } & { \square } & { \swarrow } & { \square } \\ { \square } & { \square } & { \mathcal{O} } & { \square } & { \square } \end{array} \right.$ ; confidence 0.059 ; issues with the overlapping arrow
  
267. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130070/k13007026.png ; $L + N$ ; confidence 0.059
+
267. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130070/k13007026.png ; $L / N$ ; confidence 0.059
  
268. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130070/p13007070.png ; $\rho _ { \lambda } ( z ) = \operatorname { limsup } _ { t \in C } ( u ( t z ) - \operatorname { log } | t z | )$ ; confidence 0.058
+
268. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130070/p13007070.png ; $\rho _ { u } ( z ) = \limsup _ { t \in \text{C} } ( u ( t z ) - \operatorname { log } | t z | ).$ ; confidence 0.058
  
269. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130030/z13003078.png ; $Cm , N$ ; confidence 0.058
+
269. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130030/z13003078.png ; $c_{m,n}$ ; confidence 0.058
  
270. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120080/f120080173.png ; $IV _ { I } \varphi$ ; confidence 0.058
+
270. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120080/f120080173.png ; $M_ { \Gamma \varphi}$ ; confidence 0.058
  
271. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011024.png ; $\alpha ^ { \psi } = Op ( J ^ { 1 / 2 } \alpha )$ ; confidence 0.058
+
271. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011024.png ; $a ^ { w } = \text{Op( J ^ { 1 / 2 } a )$ ; confidence 0.058
  
272. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w130090101.png ; $\| I _ { n } ( g ) \| _ { L } 2 _ { ( \mu ) } = \sqrt { n ! } | g | _ { L } 2 _ { ( [ 0,1 ] } ^ { n } )$ ; confidence 0.058
+
272. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w130090101.png ; $\| I _ { n } ( g ) \| _ { L ^{ 2} ( \mu ) } = \sqrt { n ! } | \hat{g} | _ { L ^{ 2} ( [ 0,1 ] ^ { n } )}$ ; confidence 0.058
  
273. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120310/c12031039.png ; $e _ { N } ( H _ { i j } ^ { k } ) \asymp n ^ { - k } \cdot ( \operatorname { log } n ) ^ { ( \phi - 1 ) / 2 }$ ; confidence 0.058
+
273. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120310/c12031039.png ; $e _ { n } ( H _ { d } ^ { k } ) \asymp n ^ { - k } \cdot ( \operatorname { log } n ) ^ { ( d - 1 ) / 2 }.$ ; confidence 0.058
  
274. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130070/e13007023.png ; $\sum _ { n \in l \atop ( n ( n ) , q ) = 1 } e ^ { 2 \pi i g ( n ) \overline { n } ( n ) / q } | \leq ( \operatorname { deg } ( g ) + \operatorname { deg } ( h ) ) \sqrt { q }$ ; confidence 0.058
+
274. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130070/e13007023.png ; $\left| \sum _ { n \in I \atop \langle h ( n ) , q \rangle = 1 } e ^ { 2 \pi i g ( n ) \overline { ( n )} / q } \right| \leq ( \operatorname { deg } ( g ) + \operatorname { deg } ( h ) ) \sqrt { q },$ ; confidence 0.058
  
275. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130100/w13010016.png ; $\kappa _ { i j } = a ^ { j - 2 } 2 \pi ^ { j l 2 } / \Gamma ( ( d - 2 ) / 2 )$ ; confidence 0.058
+
275. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130100/w13010016.png ; $\kappa _ { a } = a ^ { d - 2 } 2 \pi ^ { d / 2 } / \Gamma ( ( d - 2 ) / 2 )$ ; confidence 0.058
  
276. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e12010042.png ; $t ^ { 8.111 }$ ; confidence 0.057
+
276. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e12010042.png ; $\mathbf{t} ^ { \text{em} }$ ; confidence 0.057
  
277. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110190/m1101905.png ; $\mathscr { E } _ { + }$ ; confidence 0.057
+
277. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110190/m1101905.png ; $g_{ t }$ ; confidence 0.057
  
278. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w12009030.png ; $E _ { s } \otimes r$ ; confidence 0.057
+
278. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w12009030.png ; $E ^{ \otimes r}$ ; confidence 0.057
  
279. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120100/b12010011.png ; $= 3$ ; confidence 0.057
+
279. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120100/b12010011.png ; $[ \cdot , \cdot ]$ ; confidence 0.057
  
280. https://www.encyclopediaofmath.org/legacyimages/y/y120/y120010/y120010103.png ; $\sigma V , V ^ { y } = \tau V ^ { y } , V ^ { J } R _ { V } ^ { J }$ ; confidence 0.057
+
280. https://www.encyclopediaofmath.org/legacyimages/y/y120/y120010/y120010103.png ; $\sigma_{ V , V } = \tau_{ V , V} R _ { V }$ ; confidence 0.057
  
281. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n06663028.png ; $\| \Delta _ { h _ { i } } ^ { 1 } f _ { x _ { i } } ^ { ( r _ { i } ^ { * } ) } \| _ { L _ { p } ( \Omega _ { W _ { i } } | ) } \leq M _ { i } | h _ { i } | ^ { \alpha _ { i } }$ ; confidence 0.057
+
281. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n06663028.png ; $\| \Delta _ { h _ { i } } ^ { 1 }\, f _ { x _ { i } } ^ { ( r _ { i } ^ { * } ) } \| _ { L _ { p } ( \Omega _ { | h _ { i }| } ) } \leq M _ { i } | h _ { i } | ^ { \alpha _ { i } },$ ; confidence 0.057
  
282. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130590/s13059042.png ; $F _ { R } = \frac { H _ { X } ^ { ( - n ) } H _ { n } ^ { ( - n + 3 ) } } { H _ { n } ^ { ( - n + 2 ) } H _ { n - 1 } ^ { ( - n + 1 ) } }$ ; confidence 0.057
+
282. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130590/s13059042.png ; $F _ { n } = \frac { H _ { n } ^ { ( - n ) } H _ { n-2 } ^ { ( - n + 3 ) } } { H _ { n-1 } ^ { ( - n + 2 ) } H _ { n - 1 } ^ { ( - n + 1 ) } },$ ; confidence 0.057
  
283. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120050/g12005039.png ; $\psi - \psi _ { 0 } = \varepsilon A ( \xi , \tau ) f _ { C } ( y ) e ^ { i ( \langle k _ { C } , x \rangle + \mu _ { C } t ) } + \text { c.c. } +$ ; confidence 0.057
+
283. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120050/g12005039.png ; $\psi - \psi _ { 0 } = \varepsilon A ( \xi , \tau )\, f _ { c } ( y ) e ^ { i ( \langle k _ { c } ,\, x \rangle + \mu _ { c } t ) } + \text { c.c. } + \text{h.o.t.} \ .$ ; confidence 0.057
  
284. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120030/m12003064.png ; $\hat { \sigma } = S _ { n } = MAD _ { i = 1 } ^ { n } ( x _ { i } )$ ; confidence 0.057
+
284. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120030/m12003064.png ; $\hat { \sigma } = S _ { n } = \operatorname {MAD} _ { i = 1 } ^ { n } ( x _ { i } )$ ; confidence 0.057
  
285. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040591.png ; $S _ { P } = \langle P , \operatorname { Mod } _ { S _ { P } } , \operatorname { mng } _ { S _ { P } } , \operatorname { Fod } e l s _ { P } \}$ ; confidence 0.056
+
285. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040591.png ; $\mathcal{S} _ { P } = \langle P , \operatorname { Mod } _ { \mathcal{S} _ { P } } , \operatorname { mng } _ { \mathcal{S} _ { P } } , \models _{ \mathcal{S} _ { P }} \rangle$ ; confidence 0.056
  
286. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006094.png ; $( .1 | B )$ ; confidence 0.056
+
286. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006094.png ; $\operatorname {Bel} ( \cdot | | B )$ ; confidence 0.056
  
287. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t12020057.png ; $\operatorname { inf } _ { z _ { j } , w _ { j } } \operatorname { max } _ { k \in S _ { 1 } , \atop m \in S _ { 2 } } \frac { | h ( m , k ) | } { M _ { d } ^ { \prime } ( k ) M _ { d } ^ { \prime \prime } ( m ) }$ ; confidence 0.056
+
287. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t12020057.png ; $\operatorname { inf } _ { z _ { j } , w _ { j } } \operatorname { max } _ { k \in S _ { 1 } , \atop m \in S _ { 2 } } \frac { | h ( m , k ) | } { M _ { d ^ { \prime } ( k ) M _ { d^ { \prime \prime } ( m ) }$ ; confidence 0.056
  
288. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180394.png ; $( \vec { \nabla } ^ { \psi _ { 1 } } R ( g ) \otimes \ldots \otimes \overline { \nabla } ^ { \psi m } R ( g ) )$ ; confidence 0.056
+
288. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180394.png ; $\operatorname {contr} ( \tilde { \nabla } ^ { q _ { 1 } } R ( \tilde{g} ) \otimes \ldots \otimes \tilde { \nabla } ^ { q _ { m } } R ( \tilde{g} ) )$ ; confidence 0.056
  
289. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023058.png ; $G = \left( \begin{array} { c c c c c c c } { x _ { 0 } } & { \square \ldots } & { x _ { p - 1 } } & { y _ { 0 } } & { \square \ldots . \square } & { y _ { q - 1 } } \end{array} \right)$ ; confidence 0.056
+
289. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023058.png ; $G = \left( \begin{array} { c c c c c c c } { x _ { 0 } } & { \square \ldots \square} & { x _ { p - 1 } } & { y _ { 0 } } & { \square \ldots \square } & { y _ { q - 1 } } \end{array} \right),$ ; confidence 0.056
  
290. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120200/d12020031.png ; $S _ { 1 / 7 } ( i t )$ ; confidence 0.056
+
290. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120200/d12020031.png ; $S _ { M } ( i t )$ ; confidence 0.056
  
291. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t130050154.png ; $\sigma _ { Te } ( A , H ) = \sigma _ { T } ( L _ { i * } , Q ( H ) )$ ; confidence 0.056
+
291. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t130050154.png ; $\sigma _ { \text{Te} } ( A , \mathcal{H} ) = \sigma _ {  \text{T} } ( L _ { a } , \mathcal{Q} ( \mathcal{H} ) )$ ; confidence 0.056
  
292. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120130/l12013031.png ; $x \in \hat { Q } ^ { * }$ ; confidence 0.055
+
292. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120130/l12013031.png ; $x \in \tilde { \mathbf{Q} } ^ { n }$ ; confidence 0.055
  
293. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009045.png ; $\frac { m } { 1 + \alpha ^ { 2 } } \int _ { z } ^ { \xi } \frac { p _ { 0 } ( s ) - \alpha i } { s } d s \int _ { z } ^ { \xi } \frac { p _ { 1 } ( s ) - p _ { 0 } ( s ) } { s } \frac { \frac { m } { 1 + \alpha ^ { 2 } } \int _ { z } ^ { s } \frac { p _ { 0 } ( t ) - \alpha i } { t } d t } { t } d s - \frac { 1 + \alpha ^ { 2 } } { m } \}$ ; confidence 0.055
+
293. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009045.png ; $=e ^{-\frac { m } { 1 + a ^ { 2 } } \int _ { z } ^ { \xi } \frac { p _ { 0 } ( s ) - a i } { s } d s}  \times \times \left\{ \int _ { z } ^ { \xi } \frac { p _ { 1 } ( s ) - p _ { 0 } ( s ) } { s } e^{ \frac { m } { 1 + a ^ { 2 } } \int _ { z } ^ { s } \frac { p _ { 0 } ( t ) - a i } { t } d t } d s - \frac { 1 + a ^ { 2 } } { m } \right\}.$ ; confidence 0.055
  
294. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130010/l13001068.png ; $\int _ { T ^ { 2 } } | \tilde { X } N B ( x ) | d x$ ; confidence 0.055
+
294. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130010/l13001068.png ; $\int _ { \mathbf{T} ^ { 2 } } | \hat { \chi }_{ NB} ( x ) | d x$ ; confidence 0.055
  
295. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130070/f13007036.png ; $= \{ x _ { 1 } , \ldots , x _ { m } | x ^ { l } x ^ { k _ { i } + 1 } = x ^ { l _ { i + 2 } } ; \text { indices } ( \operatorname { mod } m ) \}$ ; confidence 0.055
+
295. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130070/f13007036.png ; $= \left\langle x _ { 1 } , \ldots , x _ { m } | x ^ { l_i } x ^ { k _ { i + 1} } = x ^ { l _ { i + 2 } } ; \text { indices } ( \operatorname { mod } m ) \right\rangle.$ ; confidence 0.055
  
296. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110160/f110160129.png ; $\& \{ \exists x _ { n } + 1 \psi _ { n } ^ { l } \overline { a } \alpha : a \in A \}$ ; confidence 0.055
+
296. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110160/f110160129.png ; $\& \{ \exists x _ { n + 1} \psi _ { \mathfrak{A} } ^ { l } \overline { a } a : a \in A \}$ ; confidence 0.055
  
297. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240244.png ; $= \operatorname { sin } \gamma q$ ; confidence 0.055
+
297. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240244.png ; $ \operatorname { MS } _{\mathcal{H}}=\operatorname {SS} _{\mathcal{H}} / q$ ; confidence 0.055
  
298. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j130040127.png ; $\not 1$ ; confidence 0.055
+
298. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j130040127.png ; $\# \mathcal{P}$ ; confidence 0.055
  
299. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g13006084.png ; $l _ { \mathfrak { M } + 1 } = \mathfrak { j }$ ; confidence 0.055
+
299. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g13006084.png ; $\text{l} _ { m + 1 } = j $ ; confidence 0.055
  
300. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040309.png ; $\epsilon 0,0 ( x , y , z , w ) \approx \epsilon 0,1 ( x , y , z , w ) , \ldots , \epsilon _ { m - 1,0 } ( x , y , z , w ) \approx \epsilon _ { m - 1 } , 1 ( x , y , z , w )$ ; confidence 0.055
+
300. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040309.png ; $\epsilon_{ 0,0} ( x , y , z , w ) \approx \epsilon_{ 0,1} ( x , y , z , w ) , \ldots , \epsilon _ { m - 1,0 } ( x , y , z , w ) \approx \epsilon _ { m - 1 , 1} ( x , y , z , w )$ ; confidence 0.055

Latest revision as of 01:43, 4 July 2020

List

1. t13005099.png ; $D _ { a } + D _ { a^{*} } ^ { t }$ ; confidence 0.089

2. w11006049.png ; $\prod _ { j } H _ { n_j } \left( \frac { \langle y ,\, f _ { j } \rangle } { \sqrt { 2 } } \right) ,$ ; confidence 0.089

3. c12021037.png ; $P _ { m } ^ { \prime } ( A _ { m } ) \rightarrow 1$ ; confidence 0.089

4. w12011040.png ; $\| \mathcal{H} ( u , v ) \| _ { L ^ { 2 } ( \mathbf{R} ^{n}) } = \| u \|_ { L ^ { 2 } ( \mathbf{R} ^{n}) } \| v \| _ { L ^ { 2 } ( \mathbf{R} ^{n}) } ,$ ; confidence 0.089

5. i13006062.png ; $\| F ( x ) \| _ { L^{\infty} ( \mathbf{R} _ { + } ) } + \| F ( x ) \| _ { L ^ { 1 } ( \mathbf{R} _ { + } ) } +$ ; confidence 0.088

6. e1300108.png ; $a _ { 1 } , \dots , a _ { m } \in R$ ; confidence 0.088

7. n06663022.png ; $f \in H _ { p } ^ { r } ( M _ { 1 } , \ldots , M _ { n } ; \Omega ) , \quad M _ { i } > 0,$ ; confidence 0.088

8. a12022042.png ; $r _ { \text{ess} } ( T ) \in \sigma _ { \text{ess} } ( T )$ ; confidence 0.088

9. e1300308.png ; $\gamma = \left( \begin{array} { l l } { a } & { b } \\ { c } & { d } \end{array} \right) \in \operatorname { GL} _ { 2 } ( \mathbf{Q} )$ ; confidence 0.088

10. n06663076.png ; $\Omega ^ { k } (\, f ^ { ( s ) } , \delta ) = \operatorname { sup } _ { | h | = 1} \operatorname { sup }_{0 \leq t \leq \delta } \| \Delta _ { t h } ^ { k }\, f ^ { ( s ) } \| _ { L _ { p } ( \Omega _ { k t } ) } \leq M \delta ^ { r - s }.$ ; confidence 0.088

11. b130200114.png ; $\mathfrak{h} ^ {e }$ ; confidence 0.088

12. o130060114.png ; $\tilde { \mathfrak{E} } ( \lambda )$ ; confidence 0.088

13. b12032075.png ; $a _ { n + m} = F ( a _ { n } , a _ { m } )$ ; confidence 0.087

14. c12027017.png ; $\frac { \text { Vol } ( \partial \Omega ) } { \text { Vol } ( \Omega ) } \geq \frac { c _ { 1 } } { \operatorname { diam } \Omega } \cdot \omega , \quad c_ { 1 } = \frac { 2 \pi \alpha ( n - 1 ) } { \alpha ( n ) },$ ; confidence 0.087

15. q13002041.png ; $\mathcal{NP} \not< \mathbf{BQP}$ ; confidence 0.087

16. a0119903.png ; $p _ { i }$ ; confidence 0.087

17. b110220112.png ; $.\operatorname { det } _ { \text{Q} } ^ { - 1 } ( F ^ { i + 1 - m } H _ { \text{DR} } ^ { i } ( X_{/ \mathbf{R}} ) )$ ; confidence 0.087

18. e13004036.png ; $= ( \Omega _ { + } - 1 ) ( g - g_{0} ) \psi ( t ) + ( \Omega _ { + } - 1 ) _{g_{0}} \psi ( t ),$ ; confidence 0.087

19. a13018031.png ; $\operatorname {Cnn} _ { \mathcal{L} }$ ; confidence 0.087

20. b12043077.png ; $\Psi ( x _ { i } \bigotimes x _ { j } ) = x _ { b } \bigotimes x _ { a } R ^ { a } \square _ { i } \square ^ { b } \square_{j}$ ; confidence 0.087

21. c13014049.png ; $p _ { i ,\, j } ^ { k } = | \{ z \in X : ( x , z ) \in R _{i}\, \& ( z , y ) \in R _ { j } \} |.$ ; confidence 0.087

22. s13041059.png ; $\frac { Q _ { n } ( z ) } { P _ { n } ^ { ( \alpha , \beta ) } ( z ) } \underset{ \rightarrow } { \rightarrow } \frac { 2 } { \phi ^ { \prime } ( z ) },$ ; confidence 0.087

23. g13001040.png ; $N _ { E / F} ( z ) = z \cdot z ^ { q } \cdot \ldots \cdot z ^ { q ^ { n - 1 } }.$ ; confidence 0.087

24. s13057012.png ; $\sum _ { |\mathbf{m \cdot r}| \leq N } \Delta _ { \mathbf{m} } (\, f )$ ; confidence 0.086

25. g13006043.png ; $( \lambda - a _ { i , i} ) x _ { i } = \sum _ { j = 1 \atop j \neq i } ^ { n } a _ { i ,\, j } x _ { j }.$ ; confidence 0.086

26. b1301208.png ; $| a _ { \pm n } | \leq a _ { n } ^ { * }$ ; confidence 0.086

27. b12013072.png ; $\| \tilde { u } \| _ { p } \leq c \| u \| _ { p }$ ; confidence 0.086

28. d12030010.png ; $a : \mathbf{R}_{ +} \times \mathbf{R} ^ { n } \rightarrow \mathbf{R} ^ { n }$ ; confidence 0.086

29. b120430172.png ; $\partial _ { q , y}$ ; confidence 0.086

30. t120200108.png ; $\operatorname { max } _ { k = m + 1 , \ldots , m + n } | g ( k ) | \geq c _ { m , n } , \operatorname { min } _ { j = 1 , \ldots , n } | b _ { 1 } + \ldots + b _ { j } |$ ; confidence 0.086

31. l12004037.png ; $- \Delta t a \partial _ { x } ^ { ( 1 ) } u ( x _ { i } , t ^ { n } ) + \frac { \Delta t ^ { 2 } } { 2 } a ^ { 2 } \partial _ { x } ^ { ( 2 ) } u ( x _ { i } , t ^ { n } ) + O ( \Delta t ^ { 2 } ).$ ; confidence 0.085

32. v1100506.png ; $\operatorname { lim } _ { |Q| \rightarrow 0 } \frac { 1 } { | Q | } \int _ { Q } |\, f - f _ { Q } | d t \rightarrow 0.$ ; confidence 0.085

33. k12006014.png ; $ c _ { 1 } ( L )$ ; confidence 0.085

34. e12024024.png ; $\operatorname { Tr } _ { L l / L }$ ; confidence 0.085

35. a0116204.png ; $H _ { n }$ ; confidence 0.085

36. c13009027.png ; $L _ { i ,\, j } = L C _ { j } ( x ) |_ { x = x _ { i } }$ ; confidence 0.085

37. a13024018.png ; $e _ { i }$ ; confidence 0.085

38. c120180488.png ; $\lambda g = \sum _ { i ,\, j } \lambda g_ { i j } d x ^ { i } \otimes d x ^ { j } \in \mathsf{S} ^ { 2 } \mathcal{E}$ ; confidence 0.085

39. m1200907.png ; $\xi ^ { J } = \xi _ { 1 } ^ { j_1 } \ldots \xi _ { n } ^ { j_n }$ ; confidence 0.085

40. d12028098.png ; $F (\, f ) = F _ { \phi } (\, f ) = \int _ { \partial D _ { m } } f ( z ) \sum ^ { n } _ { k = 1 } ( - 1 ) ^ { k - 1 } \frac { \partial \overline{ v } } { \partial z _ { k } } d \overline{z} [ k ] \bigwedge d z.$ ; confidence 0.085

41. a130180168.png ; $\mathbf{\mathsf{RCA}} _ { \omega } = \mathbf{SP} \left\{ \left( \mathfrak { P } ( \square ^ { \omega } U ) , c _ { i } , \operatorname{Id} _ { i j } \right)_ { i ,\, j \in \omega } : U \ \text {is a set } \right\}.$ ; confidence 0.085

42. b110220195.png ; $\langle \cdot , \cdot \rangle : \operatorname{CH} ^ { p } ( X ) ^ { 0 } \times \operatorname{CH} ^ { n + 1 - p } ( X ) ^ { 0 } \rightarrow \mathbf{R}$ ; confidence 0.085

43. c02085017.png ; $X _ { k }$ ; confidence 0.085

44. b110220124.png ; $r _ { \mathcal{D} } : H _ { \mathcal{M} } ^ { i } ( M _ { \mathbf{Z} } , \mathbf{Q} (\, j ) ) \rightarrow H _ { \mathcal{D} } ^ { i } ( M_{ / \mathbf{R}} , \mathbf{R} (\, j ) )$ ; confidence 0.085

45. l120170255.png ; $B _ { 2 } \stackrel { d } { \rightarrow } B _ { 1 } \stackrel { d _ { 1 } } { \rightarrow } B _ { 0 } \rightarrow 0,$ ; confidence 0.085

46. c120210124.png ; $\| P _ { n , \theta _ { n }} - R _ { n , h }\| \rightarrow 0$ ; confidence 0.085

47. a130180125.png ; $\exists b _ { i } : b = \langle b _ { 0 } , \dots , b _ { i - 1} , b _ { i } , b _ { i + 1} , \dots , b _ { n - 1} \rangle \in R \}.$ ; confidence 0.084

48. c120180391.png ; $\{ \otimes ^ { * } \tilde { \mathcal{E} } , \tilde { \nabla } \}$ ; confidence 0.084

49. h11001023.png ; $\frac { 1 } { x } \cdot \sum _ { n \leq x } f ( n ) = c x ^ { ia_{0} } .$ ; confidence 0.084

50. b12010033.png ; $F ( 0 ) = ( F _ { 1 } ( 0 , x _ { 1 } ) , \ldots , F _ { n } ( 0 , x _ { 1 } , \ldots , x _ { n } ) , \ldots ).$ ; confidence 0.084

51. b11075015.png ; $v _ { 1 } , \dots , v _ { m }$ ; confidence 0.084

52. h04608030.png ; $mn$ ; confidence 0.083

53. a130040304.png ; $\Theta_{ \mathsf{Q} } ( a , b )$ ; confidence 0.083

54. o12005082.png ; $\operatorname { sup } _ { u > 0 } \varphi ^ { \prime } ( a u ) / \varphi ^ { \prime } ( u ) < 1$ ; confidence 0.083

55. a11032011.png ; $+ h \sum _ { j = 1 } ^ { s } B _ { j } ( h T ) \left[\, f ( t _ { m } + c _ { j } h , u _ { m + 1 } ^ { ( j ) } ) - T u _ { m +1 } ^ { ( j ) } \right].$ ; confidence 0.083

56. c021620170.png ; $w _ { 1 } , \ldots , w _ { n }$ ; confidence 0.083

57. p12012016.png ; $R ^ { a } _{b c d}$ ; confidence 0.083

58. l120170251.png ; $X \stackrel { f } { \rightarrow } Y \stackrel { g } { \rightarrow } X$ ; confidence 0.083

59. b12002043.png ; $\alpha _ { n , F} \circ Q + \beta _ { n , F }$ ; confidence 0.082

60. n067520163.png ; $J (\, f ) = \left\| \begin{array} { c c c c c c } { a } & { 1 } & { \square } & { \square } & { \square } & { 0 } \\ { \square } & { \cdot } & { \square } & { \square } & { \square } & { \square } \\ { \square } & { \square } & { . } & { \square } & { \square } & { \square } \\ { \square } & { \square } & { \square } & { . } & { \square } & { \square } \\ { \square } & { \square } & { \square } & { \square } & { . } & { 1 } \\ { 0 } & { \square } & { \square } & { \square } & { \square } & { a } \end{array} \right\|,$ ; confidence 0.082

61. d12002092.png ; $v _ { \text{M} }$ ; confidence 0.082

62. e12007077.png ; $\{ p _ { M } : M \in \Gamma \}$ ; confidence 0.082

63. c12019032.png ; $H ^ { q } ( B \Gamma , \mathbf{C} ) \simeq H ^ { q } ( \Gamma , \mathbf{C} )$ ; confidence 0.082

64. d120020263.png ; $= v _ { M }$ ; confidence 0.082

65. c120180402.png ; $\operatorname { Ric } ( \tilde{g} ) = 0 \in \mathsf{S} ^ { 2 } \tilde{\mathcal{E}}$ ; confidence 0.082

66. c02757096.png ; $h_{n}$ ; confidence 0.081

67. i12008079.png ; $Z = \sum _ { S _ { 1 } = \pm 1 } \left( S _ { 1 } | \mathcal{P} ^ { N } | S _ { 1 } \right) = \lambda _ { + } ^ { N } + \lambda ^ { N }_{-},$ ; confidence 0.081

68. d13018022.png ; $J _ { E }$ ; confidence 0.081

69. c12019040.png ; $\varphi_{ *} : K _ { 0 } ^ { \text{alg} } ( \mathcal{C} _ { 1 } \bigotimes \mathbf{C} [ \Gamma ] ) \rightarrow \mathbf{C},$ ; confidence 0.081

70. b120420146.png ; $\Psi _ { V , W } ( v \bigotimes w ) = \sum v ^ { \overline{( 1 )} } \rhd w \bigotimes v ^ { \overline{( 2 )} }.$ ; confidence 0.080

71. f130290152.png ; $( X , \tau ) \in | L \square \mathbf{TOP} |$ ; confidence 0.080

72. h1300305.png ; $s _ { k }$ ; confidence 0.080

73. a1300409.png ; $\lambda ^ { \mathbf{Fm} } ( \varphi_0 , \dots , \varphi _ { n - 1} )$ ; confidence 0.080

74. a130040736.png ; $\text { Alg } \text {Mod} ^ { * \text{L}} \mathcal{DS} = \cup \{ \text { Alg } \text {Mod} ^ { * \text{L}} \mathcal{DS} _ { P } : P \ \text { a set } \}$ ; confidence 0.080

75. t12021084.png ; $t ( G ; x , y ) = \sum_{ S \subseteq E} ( x - 1 ) ^ { r ( G ) - r ( S ) } ( y - 1 ) ^ { | S | - r ( S ) }$ ; confidence 0.080

76. h11001029.png ; $\operatorname { lim } _ { K \rightarrow \infty } \operatorname { sup } _ { x \geq 1 } \frac { 1 } { x } \cdot \sum _ { n \leq x , |\, f ( n )| \geq K } \quad | f ( n ) | = 0.$ ; confidence 0.080

77. p12015069.png ; $r_1 / r _ { 2 } \notin \mathbf{Z} _ { n }$ ; confidence 0.080

78. a130040627.png ; $\langle \mathbf{Fm} _ { P } , \models_{\mathcal{S}_ { P }} \rangle$ ; confidence 0.080

79. b12037031.png ; $j_1 , \ldots , j _ { r } < i$ ; confidence 0.079

80. v09691010.png ; $\overline{ h }$ ; confidence 0.079

81. l05700097.png ; $\mathbf{zero}_{?} \equiv \lambda p \cdot p ( \lambda x \cdot \mathbf{false})\mathbf{true}$ ; confidence 0.079

82. w12005015.png ; $A _ { i } = A \cdot e _ { i } = \mathbf{R} \cdot e_{i} \oplus N _ { i }$ ; confidence 0.079

83. w12011014.png ; $( \operatorname{Op} ( a ) u ) ( x ) = \int e ^ { 2 i \pi x \cdot \xi } a ( x , \xi ) \hat { u } ( \xi ) d \xi,$ ; confidence 0.079

84. b12006021.png ; $\Delta_ { 2 } U = \frac { \partial ^ { 2 } U } { \partial t ^ { 2 } },$ ; confidence 0.078

85. b12002037.png ; $\alpha_{n, F} = n ^ { 1 / 2 } ( F _ { n } - F )$ ; confidence 0.078

86. b110220159.png ; $r _ { \mathcal{D} }$ ; confidence 0.078

87. t120050124.png ; $\widetilde{ d ^ { 2 } f } _ { x } : \mathbf{R} ^ { n } \times \mathbf{R} ^ { n } \rightarrow \mathbf{R}$ ; confidence 0.078

88. z13008043.png ; $R _ { k + l } ^ { k - l } ( r ; \alpha ) = \frac { l ! } { ( \alpha + 1 ) _ { l } } r ^ { k - l } P _ { l } ^ { ( \alpha , k - l ) } ( 2 r ^ { 2 } - 1 ),$ ; confidence 0.078

89. b12036010.png ; $\epsilon_{l}$ ; confidence 0.078

90. m13022068.png ; $p ^ { - 1 } \prod _ { \underset{n \in \mathbf{Z} }{m > 0} } ( 1 - p ^ { m } q ^ { n } ) ^ { a_{ m n} } = j ( w ) - j ( z )$ ; confidence 0.078

91. w13009039.png ; $\theta _ { n } ( h _ { 1 } \bigotimes \ldots \bigotimes h _ { n } ) = P _ { n } ( \tilde { h _ { 1 } } \ldots \tilde { h _ { n } } ).$ ; confidence 0.078

92. a130040335.png ; $E ( x , y ) \vdash _ { \mathcal{D} } E ( y , x ) , \quad E ( x , y ) , E ( y , z ) \vdash _ { \mathcal{D} } E ( x , z ),$ ; confidence 0.078

93. e120230104.png ; $\mathcal{E} ^ { a } ( L ) = \sum _ { | \alpha | = 0 } ^ { k } ( - 1 ) ^ { | \alpha | } D ^ { \alpha } \left( \frac { \partial L } { \partial y _ { \alpha } ^ { a } } \right),$ ; confidence 0.077

94. g0433201.png ; $\| u \| _ { m } ^ { 2 } \leq c _ { 1 } \operatorname { Re } B [ u , u ] = c _ { 2 } \| u \| _ { 0 } ^ { 2 },$ ; confidence 0.077

95. s12024058.png ; $\mathbf{z} ^ { n } = \{ z ^ { n _ { i } } , x _ { i } ^ { n + 1 } \} , \overline{\mathbf{z}} \square ^ { n } = \{ z _ { i } ^ { n } , \overline{x} \square _ { i } ^ { n + 1 } \}$ ; confidence 0.077

96. a130180146.png ; $\mathbf{\mathsf{RCA}} _ { n } = \mathbf{SP} \{ \mathfrak{Rel} _ { n } ( U ) : U \ \text {is a set } \},$ ; confidence 0.077

97. a130240422.png ; $\mathbf{a}$ ; confidence 0.077

98. d12026032.png ; $X \underline { \square } _ { n } = \operatorname { inf } _ { t } X _ { n } ( t )$ ; confidence 0.077

99. c12027018.png ; $\frac { \operatorname {Vol} ( \partial \Omega ) ^ { n } } { \operatorname {Vol} ( \Omega ) ^ { n - 1 } } \geq c _ { 2 } \cdot \omega ^ { n + 1 } , \quad c _ { 2 } = \frac { \alpha ( n - 1 ) ^ { n } } { \left( \frac { \alpha ( n ) } { 2 } \right) ^ { n - 1 } }.$ ; confidence 0.077

100. s13054060.png ; $\operatorname {SL} _ { n } ( F )$ ; confidence 0.077

101. p13007060.png ; $\mathcal{L} = \{ u \in \operatorname { PSH } ( \mathbf{C} ^ { n } ) : u - \operatorname { log } ( 1 + | z | ) = O ( 1 ) ( z \rightarrow \infty ) \}.$ ; confidence 0.077

102. b12034078.png ; $\|\, f \| \leq \operatorname { sup } _ { M } |\, f ( z ) |$ ; confidence 0.077

103. x12001053.png ; $|G:G_{\text{inn}}|< \infty$ ; confidence 0.077

104. p12017041.png ; $\hat { X } \in \operatorname { ker } \delta _ { \hat { A } ^ { * } , B ^ { * }}$ ; confidence 0.077

105. a01139028.png ; $\hat { C }$ ; confidence 0.077

106. a130180134.png ; $\mathfrak { Rel } _ { n } ( U ) = \left( \mathfrak { P } ( \square ^ { n } U ) , c _ { 0 } , \ldots , c _ { n - 1} , \operatorname{Id} \right)$ ; confidence 0.077

107. w120110239.png ; $a \sharp b = a b + S ( m _ { 1 } m _ { 2 } H , G ) ,\; a \sharp b = a b + \frac { 1 } { 2 \iota } \{ a , b \} + S ( m _ { 1 } m _ { 2 } H ^ { 2 } , G ),$ ; confidence 0.076

108. a01021072.png ; $c_ 1 , \ldots , c _ { n }$ ; confidence 0.076

109. a01182030.png ; $a _ { j }$ ; confidence 0.076

110. t120200133.png ; $\geq 2 \left( \frac { \delta _ { 1 } - \delta _ { 2 } } { 12 e } \right) ^ { n } \operatorname { min } _ { j = h , \ldots , l } | b _ { 1 } + \ldots + b _ { j } |.$ ; confidence 0.076

111. a01402029.png ; $\psi _ { i }$ ; confidence 0.075

112. b1302202.png ; $P _ { k - 1}$ ; confidence 0.075

113. z13004016.png ; $K _ { n , m}$ ; confidence 0.075

114. c13016082.png ; $\text{NTIME}$ ; confidence 0.075

115. a120050123.png ; $Se ^ { - s A ( t , u ) } \supset e ^ { - s \hat{A} ( t , u ) } S,$ ; confidence 0.075

116. m13020010.png ; $0 \rightarrow H ^ { 0 } ( M ) \rightarrow C ^ { \infty } ( M ) \stackrel { H } { \rightarrow } \mathfrak{X} ( M , \omega ) \stackrel { \gamma } { \rightarrow } H ^ { 1 } ( M ) \rightarrow 0,$ ; confidence 0.075

117. p12015070.png ; $\int _ { | x - a _ { j } | \leq r _ { j } } f ( x ) d x , \quad | a _ { j } | + r _ { j } < 1 ,\; j = 1,2,$ ; confidence 0.075

118. f12002016.png ; $P \sum _ { n = 0 } ^ { \infty } ( Q - 1 ) ^ { n }$ ; confidence 0.075

119. f110160120.png ; $\psi _ { \mathfrak { A } } ^ { l } \overline {a}$ ; confidence 0.075

120. t13005064.png ; $( \mathcal{X} \otimes e _ { 0 } ) \oplus ( \mathcal{X} \otimes e_ { 1 } )$ ; confidence 0.075

121. b12003041.png ; $\| \operatorname { tg } ( t ) \| _ { 2 } \| \gamma \hat{g} ( \gamma ) \| _ { 2 } \geq ( 4 \pi ) ^ { - 1 } \| g \| _ { 2 } ^ { 2 }$ ; confidence 0.075

122. t130050107.png ; $A _ { k } \equiv ( a _ { i ,\, j } ^ { ( k ) } ) _ { i ,\, j = 1 } ^ { \operatorname { dim } \mathcal{X} }$ ; confidence 0.075

123. i051620126.png ; $\overline{z} = ( \overline{z}_{1} , \dots , \overline{z}_ { n } )$ ; confidence 0.074

124. f0418602.png ; $\mathbf{C} ^ { n + 1}$ ; confidence 0.074

125. b13029070.png ; $( a _ { 1 } , \dots , a _ { i - 1 } ) : a _ { i } a _ { j } = ( a _ { 1 } , \dots , a _ { i - 1 } ) : a _ { j }$ ; confidence 0.074

126. d120020255.png ; $v _ { M } > v ^ { * }$ ; confidence 0.074

127. s12027019.png ; $\{ x _ { 1 , n} , \dots , x _ { n , n} \} \subseteq \{ y _ { 1 , m} , \dots , y _ { m , m} \},$ ; confidence 0.074

128. f12023047.png ; $K _ { x } \in \wedge ^ { k + 1 } T _ { x } ^ { * } M \otimes T _ { x }\, M$ ; confidence 0.074

129. a12028010.png ; $\hat{x} ( n ) = \int _ { \mathbf{T} } \overline{z}^{n} U _ { z } ( x ) d z$ ; confidence 0.074

130. a13018045.png ; $\mathfrak{M} \in \operatorname{Mod}_{\tau}$ ; confidence 0.074

131. b130300102.png ; $B ( m , n , i ) = \langle a _ { 1 } , \dots , a _ { m } | A _ { 1 } ^ { n } , \dots , A _ { i } ^ { n } \rangle$ ; confidence 0.074

132. d12002047.png ; $U _ { 1 } = \{ u _ { 1 } \geq 0 : c ^ { T } \tilde { x } ^{ ( k ) } + u _ { 1 } A _ { 1 } \tilde{x} ^ { ( k ) } \geq 0 \text { for all } k \in R \}$ ; confidence 0.074

133. m130140140.png ; $= ( 2 \pi i ) ^ { 1 - n } \int _ { \Delta _ { n } } d t \int _ { S } ( F _ { n }\, f ) \times \times \left( ( 1 - t _ { 2 } - \ldots - t _ { n } ) ( z , \zeta ) , \frac { t _ { 2 } } { \zeta _ { 2 } } ( z , \zeta ) , \ldots , \frac { t _ { n } } { \zeta _ { n } } ( z , \zeta ) \right) \frac { d \zeta } { \zeta },$ ; confidence 0.073

134. s120340146.png ; $\alpha _ { H } ( \tilde{y} ) - \alpha _ { H } ( \tilde{x} ) = 1$ ; confidence 0.073

135. c12031011.png ; $e _ { n } ( F _ { d } ) = \operatorname { inf } _ { Q _ { n } } e ( Q _ { n } , F _ { d } ).$ ; confidence 0.073

136. b12031011.png ; $M _ { R } ^ { \delta } (\, f ) ( x ) = \int _ { | \xi | \leq R } \left( 1 - \frac { | \xi | ^ { 2 } } { R ^ { 2 } } \right) ^ { \delta } e ^ { 2 \pi i x \cdot \xi } \hat { f } ( \xi ) d \xi .$ ; confidence 0.073

137. w12011082.png ; $\mathbf{R} _ { x } ^ { n } \times \mathbf{R} _ { \xi } ^ { n }$ ; confidence 0.073

138. c120180504.png ; $R ( \tilde{ g } ) = W ( \tilde { g } ) \in \mathsf{A} ^ { 2 } \tilde{ \mathcal{E} } \otimes \mathsf{A} ^ { 2 } \tilde{ \mathcal{E} }$ ; confidence 0.073

139. m13001029.png ; $\langle a _ { 1 } , \dots , a _ { n } \rangle$ ; confidence 0.073

140. m13001032.png ; $v _ { \operatorname {MAP} } = \operatorname { arg } \operatorname { max } _ { v _ { j } \in \mathcal{V} } \mathsf{P} ( a _ { 1 } , \ldots , a _ { n } | v _ { j } ) \cdot \mathsf{P} ( v _ { j } ).$ ; confidence 0.073

141. l11002057.png ; $a = c _ { 1 } \dots c _ { n }$ ; confidence 0.073

142. a12027077.png ; $W _ { P } (\, \rho _ { a } )$ ; confidence 0.073

143. e13007045.png ; $\ll \frac { N ^ { 2 } } { H } + \frac { N } { H } \sum _ { 1 \leq h \leq H } \left| \sum_ { M < n \leq M + N - h } e ^ { 2 \pi i ( \, f ( n + h ) - f ( n ) ) } \right|,$ ; confidence 0.073

144. c12028015.png ; $\mathcal{B} : \mathcal{C} \text{rs} \rightarrow \mathcal{FT} \text{op}$ ; confidence 0.073

145. a0128105.png ; $t_{1}$ ; confidence 0.072

146. b130200126.png ; $\oplus _ { i } G_ {i}$ ; confidence 0.072

147. s13011017.png ; $\partial _ { i }\, f _ { w } = \left\{ \begin{array} { l l } { 0 } & { \text{if} \ \text{l} ( s _ { i } w ) > \text{l} ( w ), } \\ { f _ { s _ { i } w } } & { \text{if} \ \text{l}( s _ { i } w ) < \text{l}( w ), } \end{array} \right.$ ; confidence 0.072

148. p13013024.png ; $\tilde { S } _ { n }$ ; confidence 0.072

149. e12023086.png ; $\left( \frac { \partial } { \partial x } \right) ^ { \alpha } = \left( \frac { \partial } { \partial x _ { 1 } } \right) ^ { \alpha _ { 1 } } \dots \left( \frac { \partial } { \partial x _ { n } } \right) ^ { \alpha _ { n } }.$ ; confidence 0.072

150. i12006089.png ; $v \in e$ ; confidence 0.072

151. b12021032.png ; $= \sum _ { i = 1 } ^ { k } ( - 1 ) ^ { i + 1 } X X _ { i } \bigotimes X _ { 1 } \bigwedge \ldots \bigwedge \hat{X} _ { i } \bigwedge \ldots \bigwedge X _ { k } +$ ; confidence 0.072

152. l12010066.png ; $\| \nabla f \| _ {{ L } ^ 2 ( \mathbf{R} ^ { n } ) } \geq S _ { n } \|\, f \| _ { L ^{ 2 n / ( n - 2 ) } ( \mathbf{R} ^ { n } ) }$ ; confidence 0.071

153. k12008079.png ; $= \frac { 1 } { ( 2 \pi i ) ^ { n } } \int _ { \partial \Omega } \sum _ { | \alpha | + \beta = n - 1 } \left( \prod _ { j = 0 } ^ { m } \frac { \langle \rho ^ { \prime } ( \xi ) ,\, z - p _ { j } \rangle } { \langle \rho ^ { \prime } ( \xi ) ,\, \xi - p _ { j } \rangle } \right) \times \times \frac { f ( \xi ) \partial \rho ( \xi ) \wedge ( \overline { \partial } \partial \rho ( \xi ) ) ^ { n - 1 } } { \langle \rho ^ { \prime } ( \xi ) ,\, \xi - p \rangle ^ { \alpha } \langle \rho ^ { \prime } ( \xi ) ,\, \xi - z \rangle ^ { \beta + 1 } },$ ; confidence 0.071

154. a012950198.png ; $t ^ { n }$ ; confidence 0.071

155. s13011015.png ; $f _ { w } \in \mathbf{Z} [ x _ { 1 } , \dots , x _ { n } ]$ ; confidence 0.071

156. e12010035.png ; $\mathbf{f} ^ { \text{em} } = 0 = \operatorname { div } \mathbf{t} ^ { \text{em} \cdot f} - \frac { \partial \mathbf{G} ^ { \text{em}\cdot f } } { \partial t },$ ; confidence 0.071

157. f12021089.png ; $\pi ( \lambda ) = ( \lambda + 2 ) ( \lambda + 1 ) a ^ { 2_0 } + ( \lambda + 1 ) a ^ { 1_0 } + a ^ { 0_0 } =$ ; confidence 0.071

158. i13002037.png ; $S _ { k } = \mathsf{E} \left[ \left( \begin{array} { l } { X } \\ { k } \end{array} \right) \right] = \sum _ { i = 1 } ^ { n } \left( \begin{array} { l } { i } \\ { k } \end{array} \right) p _ { i }$ ; confidence 0.071

159. p13013073.png ; $\zeta _ { \lambda } ^ { + \lambda } = \zeta _ { \lambda } ^ { - \lambda } = i ^ { ( n - r ( \lambda ) ) / 2 } \sqrt { ( \lambda _ { 1 } \ldots \lambda _ { r ( \lambda ) } ) }.$ ; confidence 0.071

160. w13008060.png ; $\frac { \Omega _ { n } } { \partial T _ { m } } = \frac { \partial \Omega _ { m } } { \partial T _ { n } }.$ ; confidence 0.071

161. f1201105.png ; $| \varphi ( z ) | e ^ { \delta | z | } < \infty \text { for some } \delta > 0.$ ; confidence 0.071

162. a130040605.png ; $\operatorname {mng} _ { \mathcal{S} _ { P }, \mathfrak { M } } ( \varphi ) = \operatorname { mng } _ { \mathcal{S} _ { P }, \mathfrak { M } } ( \psi )$ ; confidence 0.071

163. a130040539.png ; $\vdash _ { \mathcal{G} } \theta _ { 0 } , \ldots , \theta _ { n - 1 } \rhd \xi ,$ ; confidence 0.070

164. f110160101.png ; $x_1 , \dots , x_ { n } , \dots$ ; confidence 0.070

165. n06663089.png ; $q_{v _ { 1 } , \ldots , v _ { n } } ( x _ { 1 } , \ldots , x _ { n } ) \in L _ { p } ( \mathbf{R} ^ { n } )$ ; confidence 0.070

166. q12008086.png ; $\mathsf{E} [T]_{ \operatorname { SRPTF }} =$ ; confidence 0.069

167. q12001081.png ; $S ( C ) ^ { o } = H \operatorname { exp } C ^ { o }$ ; confidence 0.069

168. l1100207.png ; $\{ G ; \cdot , e ,^{ - 1} , \vee , \wedge \}$ ; confidence 0.069

169. s12016034.png ; $n ^ { - k / d }$ ; confidence 0.069

170. c1200801.png ; $C ^ { n \times m}$ ; confidence 0.069

171. b110220213.png ; $\operatorname { Ext }^{1} _ { \mathcal{MH} _ { \mathbf{R} } ^ { + } } ( \mathbf{R} ( 0 ) , H _ { \text{B} } ^ { i } ( X ) , \mathbf{R} (\, j ) )$ ; confidence 0.068

172. c13016054.png ; $\text{NSPACE} [t( n )]$ ; confidence 0.068

173. e12023075.png ; $\mathcal{E} ^ { a } ( L ) = \frac { \partial L } { \partial y ^ { a } } - D _ { i } \left( \frac { \partial L } { \partial y ^ { a _ { i } } } \right),$ ; confidence 0.068

174. b13019051.png ; $\sum _ { m } b ( m ) e \left( \frac { m a } { q } \right) g ( m ) = \sum _ { n } b ( n ) e \left( - n \frac { \overline { a } } { q } \right) \mathcal{L} g ( n ),$ ; confidence 0.068

175. e12015052.png ; $g ^ { i }_{ ; j ; k } / 2$ ; confidence 0.068

176. m130230147.png ; $( ( X _ { n + 1} , B _ { n + 1} ) , f _ { n + 1 } ) = ( ( Y , \phi_{ * } B _ { n } ) , f _ { n } \circ \phi ^ { - 1 } )$ ; confidence 0.068

177. b11026010.png ; $X ^ { \prime } = \sqrt { X ^ { 2 } + \tilde { y } ^ { 2 } } e ^ { ( \operatorname { arctan } \tilde{y} / X + k \pi ) \rho / \omega } - X _ { H } + \tilde{x},$ ; confidence 0.068

178. s13064026.png ; $T ( a ) = ( a _ { j - k} ) _ { j , k = 0} ^ { \infty }$ ; confidence 0.068

179. a130040530.png ; $\varphi _ { 0 } , \ldots , \varphi _ { n - 1 } \rhd \varphi _ { n }$ ; confidence 0.068

180. b11026018.png ; $ \tilde {x} = \tilde { y } = 0$ ; confidence 0.068

181. c120180201.png ; $\mathsf{S} ^ { 2 } \mathcal{E} \otimes \mathsf{S} ^ { 2 } \mathcal{E} \subset \bigotimes ^ { 4 } \mathcal{E}$ ; confidence 0.068

182. i13003046.png ; $a | _ { T ^{*} M ^{ g }}$ ; confidence 0.068

183. m130140112.png ; $= \left\{ z : \sum _ { l = 1 } ^ { n } b _ { j } ^ { l } | c _ { l1 } ^ { p } ( z _ { 1 } - a _ { 1 } ) + \ldots + c _ { l n } ^ { p } ( z _ { n } - a _ { n } ) | ^ { 2 } < r _ { j , k } ^ { 2 } \right\} ,\; b _ { j } ^ { l } > 0 ;\; j = 1 , \ldots , n ; \; k = 1,2 ;\; p = 1 , \ldots , n.$ ; confidence 0.067

184. t12021039.png ; $\chi ( G ; \lambda ) = \lambda ^ { c ( G ) } ( - 1 ) ^ { v ( G ) - c ( G ) } t ( M _ { G } , 1 - \lambda , 0 ),$ ; confidence 0.067

185. c12021052.png ; $\mathcal{L} _ { n } = \mathcal{L} ( \Lambda _ { n } | P _ { n } )$ ; confidence 0.067

186. i13001022.png ; $d _{( n )} ( A ) = \operatorname { per } ( A ) = \sum _ { \sigma \in S _ { n } } \prod _ { i = 1 } ^ { n } a _ { i \sigma ( i ) }.$ ; confidence 0.067

187. v096900203.png ; $eAe$ ; confidence 0.067

188. t12013062.png ; $y _ { 1 } , \dots , \hat{y} _ { p } , \dots ; x _ { p } - y _ { p } , x _ { 2 p} - y _ { 2 p} , \dots )$ ; confidence 0.067

189. w13006019.png ; $\overline { \mathcal{M}_ { g , n } }$ ; confidence 0.067

190. e12014028.png ; $t_{1} , \dots , t _ { \rho (\, f ) } \in T$ ; confidence 0.067

191. b130220112.png ; $\rho _ { \operatorname { max } } = \operatorname { sup } \{ \rho = \rho ( B ) : T\, \text { star shaped w.r.t. } B \}.$ ; confidence 0.067

192. t12020079.png ; $\operatorname { max } _ { r = 1 , \ldots , c n } \frac { | z _ { 1 } ^ { r } + \ldots + z _ { n } ^ { r } | } { \operatorname { min } _ { k = 1 , \ldots , n } | z _ { k } ^ { r } | } \geq m.$ ; confidence 0.067

193. a120070110.png ; $\left\{ u \in \cap _ { q \in ( n , \infty ) } W ^ { 2 m , q } ( \Omega ) : \begin{array}{l} { L(t, \cdot , D_x) u \in C ( \overline { \Omega } ), } \\ {B _ { j } ( t , \cdot , D _ { x } ) u=0 \ \text{ on } \partial \Omega,} \\ {j=1, \dots , m} \end{array} \right\},\; A(t)u=L(\cdot , t , D_x)u \ \text{ for } \ u \in D(A(t)),$ ; confidence 0.067

194. w13010046.png ; $b \mapsto I ^ { \kappa_a } ( b )$ ; confidence 0.067

195. h12012024.png ; $( X \leftrightarrows _{f} ^{\nabla } Y , \phi ).$ ; confidence 0.067

196. f13010065.png ; $\lambda ^ { p } ( \mu ) [ \varphi ] = [ \varphi * \Delta _ { G } ^ { 1 / p ^ { \prime } } \check{\mu} ]$ ; confidence 0.066

197. q12007042.png ; $\mathcal{R} = \mathcal{R} _ { q ^ { 2 } } e _ { q ^ { - 2 } } ^ { ( q - q ^ { - 1 } ) E \bigotimes F },$ ; confidence 0.066

198. i13004026.png ; $( N + 1 ) ^ { - 1 } \left\| \sum _ { k = 0 } ^ { N } c _ { k } D _ { k } \right\| _ { L^{1} } \leq \operatorname { max } _ { 0 \leq k \leq N } | c _ { k } |,$ ; confidence 0.066

199. b120420140.png ; $\sum h_{ ( 1 )} v ^ { \overline{( 1 )} } \bigotimes h_{ ( 2 )} \rhd v ^ { \overline{( 2 )} } =$ ; confidence 0.066

200. l12012087.png ; $\mathbf{Z} _ { \text { tot } S } = \tilde{\mathbf{Z}}$ ; confidence 0.066

201. y12001053.png ; $r _ { t \text{l}} ^ { s k } \in k $ ; confidence 0.066

202. b12002023.png ; $= 2 ^ { 5 / 4 } 3 ^ { - 3 / 4 } ( t ( 1 - t ) ) ^ { 1 / 4 } \text { a.s., } n ^ { 1 / 4 } ( \alpha _ { n } ( t ) + \beta _ { n } ( t ) ) \stackrel { d } { \rightarrow } Z [ B ( t ) ] ^ { 1 / 2 },$ ; confidence 0.066

203. s120340181.png ; $\tilde { x } _ { i } = ( x _ { i } , u _ { i } )$ ; confidence 0.065

204. s13038052.png ; $K ( z , \delta ) : = \left\{ \begin{array}{l} {} & { t _ { i } = z _ { i }, }\\{ ( t _ { 1 } , t _ { 2 } ) :} &{ | z _ { j } - t _ { j } | < \delta, }\\{} & { i , j = 1,2 , i \neq j }\end{array} \right\}$ ; confidence 0.065

205. l1301006.png ; $\text{l} _ { \alpha p} : = \{ x : \alpha \cdot x = p \}$ ; confidence 0.065

206. w13012037.png ; $T_{\text{W}d}$ ; confidence 0.065

207. a11050052.png ; $\mathcal{V}$ ; confidence 0.065

208. s12035034.png ; $\left\{ \begin{array} { r l r l } { X _ { N } = H ( N , X _ { N - 1 } , y ( N ) , u ( N ) ), } \\ { \hat{\theta}_{N} = h ( X _ { N } ), } \end{array} \right.$ ; confidence 0.065

209. c11017041.png ; $C ^ { \prime }$ ; confidence 0.065

210. d13006097.png ; $\operatorname{Bel} ( \cdot | | B ) =\operatorname{Bel} \bigoplus \operatorname{Bel}_B .$ ; confidence 0.065

211. e12010038.png ; $\mathbf{t} ^ { \text{em}\cdot f }$ ; confidence 0.065

212. a130040425.png ; $\langle \mathbf{A} , F \rangle \in \operatorname{Mod} ^ { * \text{L}} \mathcal{D}$ ; confidence 0.065

213. s13002015.png ; $dm \times dv$ ; confidence 0.065

214. c12017072.png ; $\gamma _ { i + l ,\, j + k}$ ; confidence 0.064

215. d12023020.png ; $\Delta = \frac { 1 } { c_0 } \left( \begin{array} { c c c } { c_0^ { 2 } - c_ { 1 } ^ { 2 } } & { \square } & { c _ { 1 } c_{0} - c _ { 1 } c _ { 2 } } \\ { c _ { 1 } c _ { 0 } - c _ { 1 } c _ { 2 } } & { \square } & { c _ { 0 } ^ { 2 } - c _ { 2 } ^ { 2 } } \end{array} \right).$ ; confidence 0.064

216. l0587906.png ; $x, v$ ; confidence 0.064

217. c12028052.png ; $\mathcal{C} \text{rs}$ ; confidence 0.064

218. a12005034.png ; $\operatorname { lim } _ { t \rightarrow s } U ( t , s ) u _ { 0 } = u _ { 0 }\; \text { for } u _ { 0 } \in \overline { D ( A ( s ) ) }.$ ; confidence 0.064

219. b12025010.png ; $\Omega G$ ; confidence 0.064

220. b120210133.png ; $i_{w _ { 1 } , w_ { 2 }}$ ; confidence 0.064

221. n06663095.png ; $E_{v_ { 1 } , \ldots , v _ { n }} (\, f ) \leq c \sum _ { i = 1 } ^ { n } \frac { M _ { i } } { v _ { i } ^ { r _ { i } } }$ ; confidence 0.064

222. b12032093.png ; $\frac { 1 } { p } : = \frac { \operatorname { log } a _ { m }} { \operatorname { log } m } = \frac { \operatorname { log } a _ { n } } { \operatorname { log } n }\; \text { for all } m , n \geq 2.$ ; confidence 0.063

223. l05702026.png ; $\mu _ { l^{n} ,\, X}$ ; confidence 0.063

224. f12021086.png ; $n_j$ ; confidence 0.063

225. b12022091.png ; $d \xi = c d v I ^ { d- 1 } d I$ ; confidence 0.063

226. l13001044.png ; $\limsup_{\varepsilon \rightarrow 0} \frac { 1 } { \varepsilon } \text { meas } \{ x : \rho ( x , \partial B ) < \varepsilon \} < \infty,$ ; confidence 0.063

227. a120260114.png ; $y _ { i } \in A \langle X _ { 1 } , \dots , X _ { s_i } \rangle$ ; confidence 0.063

228. a13018065.png ; $\mathbf{\mathsf{RCA}}_n$ ; confidence 0.063

229. d130060124.png ; $\operatorname { Bel } _ { X } ^ { \downarrow Z \bigcup Y } = \operatorname { Bel } _ { Z | Y } \bigoplus \operatorname { Bel } _ { X } ^ { \downarrow Y }.$ ; confidence 0.063

230. b13029061.png ; $[ ( a _ { 1 } , \dots , a _ { i - 1 } ) : a _ { i } ] / ( a _ { 1 } , \dots , a _ { i - 1 } ) ,\; 1 \leq i \leq d,$ ; confidence 0.063

231. f1300202.png ; $\overline { c } ^ { a } ( x )$ ; confidence 0.063

232. s120340107.png ; $\tilde { x }_{ + }= ( x _ { + } , u _{+} )$ ; confidence 0.062

233. d13006034.png ; $\Xi _ { 1 } , \dots , \Xi _ { n }$ ; confidence 0.062

234. b12009046.png ; $\int _ { z } ^ { \xi } \frac { 1 - a i } { s } d s = \operatorname { ln } \left( \frac { \xi } { z } \right) ^ { 1 - a i }$ ; confidence 0.062

235. e12023091.png ; $y ^ { ( r ) } = \{ y _ { \alpha } ^ { a } \} _ { | \alpha | = r } ^ { a = 1 , \ldots , m }$ ; confidence 0.062

236. l12003083.png ; $T _ { E } R ^ { * } = \prod _ { \text { Hom}_{ \text{grp} } ( E , V ) } H ^ { * } B V,$ ; confidence 0.062

237. b13021038.png ; $\gamma _ { w }$ ; confidence 0.062

238. h13006066.png ; $= \left\{ \left( \begin{array} { l l } { a } & { b } \\ { c } & { d } \end{array} \right) \in \operatorname{SL} ( 2 , \mathbf{Z} ) : \left( \begin{array} { c c } { a } & { b } \\ { c } & { d } \end{array} \right) \equiv \left( \begin{array} { l l } { 1 } & { 0 } \\ { 0 } & { 1 } \end{array} \right) ( \operatorname { mod } n ) \right\},$ ; confidence 0.062

239. c12028035.png ; $B ( \operatorname{CRS} ( \pi ( X_{ * } ) , C ) ) \rightarrow ( B C ) ^ { X }$ ; confidence 0.062

240. b13023019.png ; $m$ ; confidence 0.061

241. o130010140.png ; $\|\, f _ { m } \| _ { C ^{ 2 , \lambda}} \leq c _ { 0 } = \text{const } > 0$ ; confidence 0.061

242. c02028027.png ; $d \omega$ ; confidence 0.061

243. t12021073.png ; $h _ { M } ( x ) = t ( x , 1 )$ ; confidence 0.061

244. d03029025.png ; $\| g \| = \operatorname { max } _ { x \in [ a , b ] } | g ( x ) |$ ; confidence 0.061

245. a130040414.png ; $\operatorname{Mod} ^ { * \text{L}} \mathcal{D} = \mathbf{SPP} _ { \text{U} } \operatorname{Mod} ^ { * \text{L}} \mathcal{D} $ ; confidence 0.061

246. c120010201.png ; $\mathbf{CP} ^ { n }$ ; confidence 0.060

247. s1202707.png ; $a _ { v,n}$ ; confidence 0.060

248. w12012024.png ; $R _ { ab } \equiv R ^ { c } \square _ { a c b }$ ; confidence 0.060

249. g13002018.png ; $s\operatorname{log} \alpha$ ; confidence 0.060

250. d12002011.png ; $( \text{S} ) g ( \overline { u } _ { 1 } ) = \left\{ \begin{array} { c l } { \operatorname { min } } & { c ^ { T } x + \overline { u } _{1} ^ { T } ( A _ { 1 } x - b _ { 1 } ) } \\ { \text { s.t. } } & { A _ { 2 } x \leq b _ { 2 }, } \\ { } & { x \geq 0, } \end{array} \right.$ ; confidence 0.060

251. a11030037.png ; $\mathbf{C}P ^ { n }$ ; confidence 0.060

252. b12010035.png ; $= \sum _ { n = 0 } ^ { \infty } \int d x _ { s + 1} \cdots d x _ { s + n} U ^ { ( n )_t } F _ { s + n} ( 0 , x _ { 1 } , \dots , x _ { s + n} ),$ ; confidence 0.060

253. c130070150.png ; $ud v$ ; confidence 0.060

254. l12012086.png ; $K _ { \text { tot }S } = \tilde { \mathbf{Q} }$ ; confidence 0.060

255. b12015056.png ; $d _ { n } ^ { * } \in \cap _ { \mathsf{P} \in \mathcal{P} } L _ { 2 } ( \Omega , \mathcal{A} , \mathsf{P} )$ ; confidence 0.060

256. a130040145.png ; $T , \varphi \vdash_{\text{S}5} \psi$ ; confidence 0.060

257. s13045018.png ; $r _ { S }$ ; confidence 0.060

258. l12015052.png ; $\times \alpha ( x_0 , \dots , x _ { i - 1} , [ x _ { i } , x _ { j } ] , x _ { i + 1} , \dots , \widehat{x _ { j }} , \dots , x _ { n } ).$ ; confidence 0.060

259. b12009030.png ; $p _ { 1 } (\, f , \tau ) = p ( e ^ { i a \text{ln } \tau } f , \tau ).$ ; confidence 0.060

260. e120230176.png ; $\mathcal{E} ( L ) = \mathcal{E} ^ { a } ( L ) \omega ^ { a } \otimes \Delta$ ; confidence 0.060

261. g13005086.png ; $\left( \text{sign det} \left( \begin{array} { c c c c } { 1 } & { p _ { i_0 } ^ { 1 } } & { \dots } & { p _ { i_0 } ^ { k } } \\ { \vdots } & { \vdots } & { \ddots } & { \vdots } \\ { 1 } & { p _ { i_k } ^ { 1 } } & { \cdots } & { p _ { i_ k } ^ { k } } \end{array} \right) \right) _ { 1 \leq i _ { 0 } < \ldots < i _ { k } \leq n } .$ ; confidence 0.059

262. h13006048.png ; $u\cdot v = \sum _ { w } \mu ( u \cdot v , w ) w$ ; confidence 0.059

263. s12024056.png ; $\mathbf{z} ^ { n } = \{ z _ { i } ^ { n } , x _ { i } ^ { n + 1 } \}$ ; confidence 0.059

264. s13045028.png ; $= 12 \mathsf{E} [ F_{ X} ( X ) F _ { Y } ( Y ) ] - 3.$ ; confidence 0.059

265. t13009034.png ; $h ^ {\prime }$ ; confidence 0.059

266. t12001089.png ; $\left. \begin{array} { c c c c c } { \square } & { \square } & { C ( \mathcal{S} ) } & { \square } & { \square } \\ { \square } & { \swarrow } & { \square } & { \searrow } & { \square } \\ { \mathcal{Z} } & { \square } & { } & { \square } & { \mathcal{S}. } \\ { \square } & { \searrow } & { \square } & { \swarrow } & { \square } \\ { \square } & { \square } & { \mathcal{O} } & { \square } & { \square } \end{array} \right.$ ; confidence 0.059 ; issues with the overlapping arrow

267. k13007026.png ; $L / N$ ; confidence 0.059

268. p13007070.png ; $\rho _ { u } ( z ) = \limsup _ { t \in \text{C} } ( u ( t z ) - \operatorname { log } | t z | ).$ ; confidence 0.058

269. z13003078.png ; $c_{m,n}$ ; confidence 0.058

270. f120080173.png ; $M_ { \Gamma \varphi}$ ; confidence 0.058

271. w12011024.png ; $a ^ { w } = \text{Op} ( J ^ { 1 / 2 } a )$ ; confidence 0.058

272. w130090101.png ; $\| I _ { n } ( g ) \| _ { L ^{ 2} ( \mu ) } = \sqrt { n ! } | \hat{g} | _ { L ^{ 2} ( [ 0,1 ] ^ { n } )}$ ; confidence 0.058

273. c12031039.png ; $e _ { n } ( H _ { d } ^ { k } ) \asymp n ^ { - k } \cdot ( \operatorname { log } n ) ^ { ( d - 1 ) / 2 }.$ ; confidence 0.058

274. e13007023.png ; $\left| \sum _ { n \in I \atop \langle h ( n ) , q \rangle = 1 } e ^ { 2 \pi i g ( n ) \overline { h ( n )} / q } \right| \leq ( \operatorname { deg } ( g ) + \operatorname { deg } ( h ) ) \sqrt { q },$ ; confidence 0.058

275. w13010016.png ; $\kappa _ { a } = a ^ { d - 2 } 2 \pi ^ { d / 2 } / \Gamma ( ( d - 2 ) / 2 )$ ; confidence 0.058

276. e12010042.png ; $\mathbf{t} ^ { \text{em} }$ ; confidence 0.057

277. m1101905.png ; $g_{ t }$ ; confidence 0.057

278. w12009030.png ; $E ^{ \otimes r}$ ; confidence 0.057

279. b12010011.png ; $[ \cdot , \cdot ]$ ; confidence 0.057

280. y120010103.png ; $\sigma_{ V , V } = \tau_{ V , V} R _ { V }$ ; confidence 0.057

281. n06663028.png ; $\| \Delta _ { h _ { i } } ^ { 1 }\, f _ { x _ { i } } ^ { ( r _ { i } ^ { * } ) } \| _ { L _ { p } ( \Omega _ { | h _ { i }| } ) } \leq M _ { i } | h _ { i } | ^ { \alpha _ { i } },$ ; confidence 0.057

282. s13059042.png ; $F _ { n } = \frac { H _ { n } ^ { ( - n ) } H _ { n-2 } ^ { ( - n + 3 ) } } { H _ { n-1 } ^ { ( - n + 2 ) } H _ { n - 1 } ^ { ( - n + 1 ) } },$ ; confidence 0.057

283. g12005039.png ; $\psi - \psi _ { 0 } = \varepsilon A ( \xi , \tau )\, f _ { c } ( y ) e ^ { i ( \langle k _ { c } ,\, x \rangle + \mu _ { c } t ) } + \text { c.c. } + \text{h.o.t.} \ .$ ; confidence 0.057

284. m12003064.png ; $\hat { \sigma } = S _ { n } = \operatorname {MAD} _ { i = 1 } ^ { n } ( x _ { i } )$ ; confidence 0.057

285. a130040591.png ; $\mathcal{S} _ { P } = \langle P , \operatorname { Mod } _ { \mathcal{S} _ { P } } , \operatorname { mng } _ { \mathcal{S} _ { P } } , \models _{ \mathcal{S} _ { P }} \rangle$ ; confidence 0.056

286. d13006094.png ; $\operatorname {Bel} ( \cdot | | B )$ ; confidence 0.056

287. t12020057.png ; $\operatorname { inf } _ { z _ { j } , w _ { j } } \operatorname { max } _ { k \in S _ { 1 } , \atop m \in S _ { 2 } } \frac { | h ( m , k ) | } { M _ { d ^ { \prime } } ( k ) M _ { d^ { \prime \prime } } ( m ) }$ ; confidence 0.056

288. c120180394.png ; $\operatorname {contr} ( \tilde { \nabla } ^ { q _ { 1 } } R ( \tilde{g} ) \otimes \ldots \otimes \tilde { \nabla } ^ { q _ { m } } R ( \tilde{g} ) )$ ; confidence 0.056

289. d12023058.png ; $G = \left( \begin{array} { c c c c c c c } { x _ { 0 } } & { \square \ldots \square} & { x _ { p - 1 } } & { y _ { 0 } } & { \square \ldots \square } & { y _ { q - 1 } } \end{array} \right),$ ; confidence 0.056

290. d12020031.png ; $S _ { M } ( i t )$ ; confidence 0.056

291. t130050154.png ; $\sigma _ { \text{Te} } ( A , \mathcal{H} ) = \sigma _ { \text{T} } ( L _ { a } , \mathcal{Q} ( \mathcal{H} ) )$ ; confidence 0.056

292. l12013031.png ; $x \in \tilde { \mathbf{Q} } ^ { n }$ ; confidence 0.055

293. b12009045.png ; $=e ^{-\frac { m } { 1 + a ^ { 2 } } \int _ { z } ^ { \xi } \frac { p _ { 0 } ( s ) - a i } { s } d s} \times \times \left\{ \int _ { z } ^ { \xi } \frac { p _ { 1 } ( s ) - p _ { 0 } ( s ) } { s } e^{ \frac { m } { 1 + a ^ { 2 } } \int _ { z } ^ { s } \frac { p _ { 0 } ( t ) - a i } { t } d t } d s - \frac { 1 + a ^ { 2 } } { m } \right\}.$ ; confidence 0.055

294. l13001068.png ; $\int _ { \mathbf{T} ^ { 2 } } | \hat { \chi }_{ NB} ( x ) | d x$ ; confidence 0.055

295. f13007036.png ; $= \left\langle x _ { 1 } , \ldots , x _ { m } | x ^ { l_i } x ^ { k _ { i + 1} } = x ^ { l _ { i + 2 } } ; \text { indices } ( \operatorname { mod } m ) \right\rangle.$ ; confidence 0.055

296. f110160129.png ; $\& \{ \exists x _ { n + 1} \psi _ { \mathfrak{A} } ^ { l } \overline { a } a : a \in A \}$ ; confidence 0.055

297. a130240244.png ; $ \operatorname { MS } _{\mathcal{H}}=\operatorname {SS} _{\mathcal{H}} / q$ ; confidence 0.055

298. j130040127.png ; $\# \mathcal{P}$ ; confidence 0.055

299. g13006084.png ; $\text{l} _ { m + 1 } = j $ ; confidence 0.055

300. a130040309.png ; $\epsilon_{ 0,0} ( x , y , z , w ) \approx \epsilon_{ 0,1} ( x , y , z , w ) , \ldots , \epsilon _ { m - 1,0 } ( x , y , z , w ) \approx \epsilon _ { m - 1 , 1} ( x , y , z , w )$ ; confidence 0.055

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/NoNroff/76. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/NoNroff/76&oldid=44564