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(AUTOMATIC EDIT of page 74 out of 77 with 300 lines: Updated image/latex database (currently 22833 images latexified; order by Confidence, ascending: False.)
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== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130230/b13023036.png ; $f ( u ) = \{ g \in G : g a c t s \text { trivially on } T \backslash T _ { d } \}$ ; confidence 0.155
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1. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130230/b13023036.png ; $\operatorname {rist}_{G} ( u ) = \{ g \in G : g \text {acts trivially on } T \backslash T _ { u } \}$ ; confidence 0.155
  
2. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110220/d11022028.png ; $L y \equiv \rho _ { N } \frac { d } { d x } ( \rho _ { x } - 1 \cdots \frac { d } { d x } ( \rho _ { 1 } \frac { d } { d x } ( \rho _ { 0 } y ) ) \ldots ) , \rho _ { i } > 0$ ; confidence 0.155
+
2. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110220/d11022028.png ; $L y \equiv \rho _ { n } \frac { d } { d x } \left( \rho _ { - 1} \cdots \frac { d } { d x } \left( \rho _ { 1 } \frac { d } { d x } ( \rho _ { 0 } y \right) \right) \ldots ) , \rho _ { i } > 0,$ ; confidence 0.155
  
3. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130030/z13003041.png ; $Z [ e ^ { 2 \pi i m t } f ] ( t , w ) = e ^ { 2 \pi i m t } ( Z f ) ( t , w )$ ; confidence 0.155
+
3. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130030/z13003041.png ; $Z [ e ^ { 2 \pi i m t } f ] ( t , w ) = e ^ { 2 \pi i m t } ( Z f ) ( t , w ).$ ; confidence 0.155
  
4. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e12010018.png ; $w ^ { em } = J . E + \frac { \partial P } { \partial t } E - M \cdot \frac { \partial B } { \partial t } + \nabla \cdot ( v ( P . E ) )$ ; confidence 0.154
+
4. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e12010018.png ; $w ^ { em } = \mathbf{J} . \mathbf{E} + \frac { \partial \mathbf{P} } { \partial t } .  \mathbf{E} - \mathbf{M} . \frac { \partial \mathbf{B} } { \partial t } + \nabla . (  \mathbf{v} ( \mathbf{P} . \mathbf{E} ) ).$ ; confidence 0.154
  
5. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040244.png ; $x + \operatorname { tg } E ( K ( x ) , L ( x ) )$ ; confidence 0.154
+
5. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040244.png ; $x \dashv \vdash_{\mathcal{D}} E ( K ( x ) , L ( x ) )$ ; confidence 0.154
  
6. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012200/a01220076.png ; $\alpha \in C ^ { \prime \prime }$ ; confidence 0.154
+
6. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012200/a01220076.png ; $a \in \mathbf{C} ^ { \prime \prime }$ ; confidence 0.154
  
7. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110160/f11016010.png ; $c x + 1$ ; confidence 0.154
+
7. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110160/f11016010.png ; $c _{n + 1}$ ; confidence 0.154
  
8. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011780/a01178026.png ; $50$ ; confidence 0.154
+
8. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011780/a01178026.png ; $a$ ; confidence 0.154
  
9. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130100/p130100173.png ; $f _ { j } : \Delta \rightarrow C ^ { * }$ ; confidence 0.154
+
9. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130100/p130100173.png ; $f _ { j } : \Delta \rightarrow \mathbf{C} ^ { * }$ ; confidence 0.154
  
10. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a130180147.png ; $5$ ; confidence 0.154
+
10. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a130180147.png ; $\mathbf{S}$ ; confidence 0.154
  
11. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011530/a01153014.png ; $\alpha 1 , \ldots , \alpha _ { x }$ ; confidence 0.154
+
11. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011530/a01153014.png ; $\alpha_{1} , \ldots , \alpha _ { n }$ ; confidence 0.154
  
12. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120210/m12021037.png ; $\psi : K ^ { n } \rightarrow K ^ { n }$ ; confidence 0.154
+
12. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120210/m12021037.png ; $\psi : \mathcal{K} ^ { n } \rightarrow \mathcal{K} ^ { n }$ ; confidence 0.154
  
13. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120190/c12019049.png ; $\phi * ( \operatorname { ind } ( D ) ) = c _ { q } ( \operatorname { Ch } ( D ) T ( M ) f ^ { * } ( \phi ) ) [ T M ]$ ; confidence 0.154
+
13. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120190/c12019049.png ; $\phi_{ *} ( \operatorname { ind } ( D ) ) = c _ { q } ( \operatorname { Ch } ( D ) \mathcal{T} ( M ) f ^ { * } ( \phi ) ) [ T M ]$ ; confidence 0.154
  
14. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130110/m13011062.png ; $v _ { i } = - \frac { D _ { x _ { i } } } { D t } = ( \frac { \partial x _ { i } } { \partial t } ) | _ { x _ { k } 0 }$ ; confidence 0.154
+
14. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130110/m13011062.png ; $v _ { i } = - \frac { D x _ { i } } { D t } = \left( \frac { \partial x _ { i } } { \partial t } \right) | _ { x _ { k }^{ 0} }.$ ; confidence 0.154
  
15. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060040/l06004014.png ; $g _ { k + 1 } ( z ) = z g _ { k } ( z ) - \phi _ { k } f ( z ) , \quad k = 0,1 , \ldots ; \quad g _ { 0 } ( z ) = 1$ ; confidence 0.153
+
15. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060040/l06004014.png ; $g _ { k + 1 } ( z ) = z g _ { k } ( z ) - \phi _ { k } f ( z ) , \quad k = 0,1 , \ldots ; \quad g _ { 0 } ( z ) = 1;$ ; confidence 0.153
  
16. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130010/i13001071.png ; $b j = - 1$ ; confidence 0.153
+
16. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130010/i13001071.png ; $I_{i j} = - 1$ ; confidence 0.153
  
17. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130110/s13011028.png ; $\mathfrak { S } _ { w } \in Z [ x _ { 1 } , x _ { 2 } , \ldots ]$ ; confidence 0.153
+
17. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130110/s13011028.png ; $\mathfrak { S } _ { w } \in \mathbf{Z} [ x _ { 1 } , x _ { 2 } , \ldots ]$ ; confidence 0.153
  
18. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t12005077.png ; $\sum ^ { i _ { 1 } } , \dots , i _ { r }$ ; confidence 0.153
+
18. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t12005077.png ; $\sum ^ { i _ { 1 } , \dots , i _ { r }}$ ; confidence 0.153
  
19. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130280/f13028036.png ; $\operatorname { sin } ( \hat { G } )$ ; confidence 0.153
+
19. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130280/f13028036.png ; $\operatorname { max }_{\tilde{c}^{T}\mathbf{x}} ( \tilde { G } )$ ; confidence 0.153
  
20. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v12002030.png ; $f \times : H _ { q } ( X , X _ { 0 } ) \rightarrow H _ { q } ( Y , Y _ { 0 } )$ ; confidence 0.153
+
20. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v12002030.png ; $f_{*} : H _ { q } ( X , X _ { 0 } ) \rightarrow H _ { q } ( Y , Y _ { 0 } )$ ; confidence 0.153
  
21. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120140/d12014081.png ; $E _ { n } ( x , a ) = \sum _ { i = 0 } ^ { | n / 2 | } \left( \begin{array} { c } { n - i } \\ { i } \end{array} \right) ( - a ) ^ { i } x ^ { n - 2 i }$ ; confidence 0.153
+
21. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120140/d12014081.png ; $E _ { n } ( x , a ) = \sum _ { i = 0 } ^ { | n / 2 | } \left( \begin{array} { c } { n - i } \\ { i } \end{array} \right) ( - a ) ^ { i } x ^ { n - 2 i }.$ ; confidence 0.153
  
22. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120120/m12012050.png ; $h - r y d$ ; confidence 0.152
+
22. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120120/m12012050.png ; $axb=cxd$ ; confidence 0.152
  
23. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l12017063.png ; $P = \langle \alpha _ { 1 } , \dots , a _ { g } | R _ { 1 } , \dots , R _ { N } \rangle$ ; confidence 0.152
+
23. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l12017063.png ; $\mathcal{P} = \langle a _ { 1 } , \dots , a _ { g } | R _ { 1 } , \dots , R _ { n } \rangle$ ; confidence 0.152
  
 
24. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130010/z13001065.png ; $n ^ { k } a ^ { n }$ ; confidence 0.152
 
24. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130010/z13001065.png ; $n ^ { k } a ^ { n }$ ; confidence 0.152
  
25. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040461.png ; $^ { \times } L D ( K ) = S P P _ { U } K$ ; confidence 0.152
+
25. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040461.png ; $\operatorname { Mod}^ { *\text{L} }  \mathcal{D} ( \mathsf{K} ) = \mathbf{SPP} _ { \text{U} } \mathsf{K}$ ; confidence 0.152
  
26. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011034.png ; $S ( R ^ { 2 x } )$ ; confidence 0.152
+
26. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011034.png ; $\mathcal{S} ( \mathbf{R} ^ { 2 n } )$ ; confidence 0.152
  
27. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040634.png ; $S _ { P } ^ { \mathfrak { D } \mathfrak { I } }$ ; confidence 0.152
+
27. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040634.png ; $\mathbf{Me}_{\mathcal{S} _ { P }} \mathfrak { M }$ ; confidence 0.152
  
28. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120210/m12021031.png ; $E ^ { x }$ ; confidence 0.152
+
28. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120210/m12021031.png ; $\mathbf{E} ^ { n }$ ; confidence 0.152
  
29. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c12008022.png ; $\operatorname { det } [ I _ { N } \lambda - A _ { 1 } ] = \sum _ { i = 0 } ^ { n } a _ { i } \lambda ^ { i } ( a _ { n } = 1 )$ ; confidence 0.152
+
29. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c12008022.png ; $\operatorname { det } [ I _ { n } \lambda - A _ { 1 } ] = \sum _ { i = 0 } ^ { n } a _ { i } \lambda ^ { i } ( a _ { n } = 1 ).$ ; confidence 0.152
  
30. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130070/k1300709.png ; $48$ ; confidence 0.152
+
30. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130070/k1300709.png ; $uu_x$ ; confidence 0.152
  
31. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130110/d13011015.png ; $\left\{ \begin{array} { l l } { \alpha _ { i } \alpha _ { j } + \alpha _ { j } \alpha _ { i } = 0 } & { \text { fori, } j \in \{ x , y , z \} , i \neq j } \\ { \alpha _ { i } \beta + \beta \alpha _ { i } = 0 } & { \text { for } i , j \in \{ x , y , z \} } \end{array} \right.$ ; confidence 0.152
+
31. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130110/d13011015.png ; $\left\{ \begin{array} { l l } { \alpha _ { i } \alpha _ { j } + \alpha _ { j } \alpha _ { i } = 0 } & { \text { for } i, j \in \{ x , y , z \} , i \neq j, } \\ { \alpha _ { i } \beta + \beta \alpha _ { i } = 0 } & { \text { for } i , j \in \{ x , y , z. \} } \end{array} \right.$ ; confidence 0.152
  
32. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a130180137.png ; $Id = \{ \langle \alpha , \ldots , \alpha \rangle : \alpha \in U \}$ ; confidence 0.152
+
32. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a130180137.png ; $\operatorname {Id} = \{ \langle a , \ldots , a \rangle : a \in U \}$ ; confidence 0.152
  
33. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020229.png ; $\overline { x } = \sum _ { k \in R ^ { \prime } } \overline { \mu } _ { k } \overline { x } ^ { ( k ) }$ ; confidence 0.152
+
33. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020229.png ; $\tilde { x } = \sum _ { k \in R ^ { \prime } } \overline { \mu } _ { k } \tilde { x } ^ { ( k ) }$ ; confidence 0.152
  
34. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120300/c12030073.png ; $K _ { 0 } ( O _ { N } ) = Z _ { X } - 1$ ; confidence 0.151
+
34. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120300/c12030073.png ; $K _ { 0 } ( \mathcal{O} _ { n } ) = \mathbf{Z} _ { - 1}$ ; confidence 0.151
  
35. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120320/b1203207.png ; $| x | | _ { p } = | | u | | _ { p }$ ; confidence 0.151
+
35. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120320/b1203207.png ; $\| x \| _ { p } = \| u \| _ { p }$ ; confidence 0.151
  
36. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130080/o1300807.png ; $x \in R _ { + } , f _ { m } ( x , k ) = e ^ { i k x } + o ( 1 ) \operatorname { as } x \rightarrow + \infty$ ; confidence 0.151
+
36. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130080/o1300807.png ; $x \in \mathbf{R} _ { + } , f _ { m } ( x , k ) = e ^ { i k x } + o ( 1 ) \operatorname { as } x \rightarrow + \infty.$ ; confidence 0.151
  
37. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120080/k12008048.png ; $K _ { p } ( f ) = \sum _ { r = 0 } ^ { m } \int _ { [ p _ { 0 } \ldots p _ { r } ] } D _ { x - p _ { 0 } \cdots D _ { x } - p _ { r - 1 } f }$ ; confidence 0.151
+
37. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120080/k12008048.png ; $K _ { p } ( f ) = \sum _ { r = 0 } ^ { m } \int _ { [ p _ { 0 } \ldots p _ { r } ] } D _ { x - p _ { 0 } \cdots D _ { x } - p _ { r - 1 }f,$ ; confidence 0.151
  
38. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220170.png ; $( r _ { D } \oplus z _ { D } ) \otimes R : ( H _ { M } ^ { i + 1 } ( X , Q ( m + 1 ) ) z ^ { \otimes R } ) \oplus ( B ^ { m } ( X ) \otimes R ) \rightleftarrows H _ { D } ^ { i + 1 } ( X _ { / R } , R ( m + 1 ) )$ ; confidence 0.151
+
38. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220170.png ; $( r _ { \mathcal{D} } \oplus z _ { \mathcal{D} } ) \otimes \mathbf{R} : ( H _ { \mathcal{M} } ^ { i + 1 } ( X , \mathbf{Q} ( m + 1 ) )_{ \mathbf{Z}}  \otimes \mathbf{R} ) \oplus ( B ^ { m } ( X ) \otimes \mathbf{R} ) \overset{\sim}{\rightarrow} H _ { \mathcal{D} } ^ { i + 1 } ( X _ { / \mathbf{R} } , \mathbf{R} ( m + 1 ) )$ ; confidence 0.151
  
39. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120070/g12007027.png ; $Z _ { W }$ ; confidence 0.151
+
39. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120070/g12007027.png ; $\mathcal{Z} _ { m} ^{\pi }$ ; confidence 0.151
  
40. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075480/p07548032.png ; $5 y \{ 2$ ; confidence 0.151
+
40. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075480/p07548032.png ; $\mathfrak{M}_2$ ; confidence 0.151
  
 
41. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b12021073.png ; $( B , \delta ) : 0 \rightarrow B _ { r } \stackrel { \delta _ { r } } { \rightarrow } \ldots \stackrel { \delta _ { 1 } } { \rightarrow } B _ { 1 } \stackrel { \delta _ { 0 } } { \rightarrow } L ( \lambda ) \rightarrow 0$ ; confidence 0.151
 
41. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b12021073.png ; $( B , \delta ) : 0 \rightarrow B _ { r } \stackrel { \delta _ { r } } { \rightarrow } \ldots \stackrel { \delta _ { 1 } } { \rightarrow } B _ { 1 } \stackrel { \delta _ { 0 } } { \rightarrow } L ( \lambda ) \rightarrow 0$ ; confidence 0.151
  
42. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110148.png ; $a _ { 1 } , \dots , a _ { 2 } , x$ ; confidence 0.151
+
42. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110148.png ; $a _ { 1 } , \dots , a _ { 2k } $ ; confidence 0.151
  
43. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130080/i13008027.png ; $L _ { 3 } ^ { 11 }$ ; confidence 0.151
+
43. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130080/i13008027.png ; $L _ { 3 } ^ { \prime \prime }$ ; confidence 0.151
  
44. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b11022096.png ; $\operatorname { ch } _ { D } : K _ { i } ( X ) \rightarrow \oplus H ^ { 2 j - i _ { D } } ( X , A ( j ) )$ ; confidence 0.151
+
44. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b11022096.png ; $\operatorname { ch } _ { \mathcal{D} } : K _ { i } ( X ) \rightarrow \oplus H ^ { 2 j - i _ { \mathcal{D} } } ( X , A ( j ) )$ ; confidence 0.151
  
45. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055600/k05560069.png ; $\dot { \imath } \uparrow$ ; confidence 0.151
+
45. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055600/k05560069.png ; $i_1$ ; confidence 0.151
  
46. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120040/l12004074.png ; $u _ { + 1 / 2 } ^ { n + 1 / 2 } = \frac { 1 } { 2 } ( u _ { i } ^ { n } + u _ { i + 1 } ^ { n } ) + \frac { 1 } { 2 } \frac { \Delta t } { \Delta x } ( f _ { i } ^ { n } - f _ { i + 1 } ^ { n } )$ ; confidence 0.151
+
46. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120040/l12004074.png ; $u _ { i + 1 / 2 } ^ { n + 1 / 2 } = \frac { 1 } { 2 } ( u _ { i } ^ { n } + u _ { i + 1 } ^ { n } ) + \frac { 1 } { 2 } \frac { \Delta t } { \Delta x } ( f _ { i } ^ { n } - f _ { i + 1 } ^ { n } ).$ ; confidence 0.151
  
47. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110138.png ; $\sum _ { 0 \leq k < N } 2 ^ { - k } \sum _ { | \alpha | + | \beta | = k } \frac { ( - 1 ) ^ { \beta | } } { \alpha ! \beta ! } D _ { \xi } ^ { \alpha } \partial _ { x } ^ { \beta } a D _ { \xi } ^ { \beta } \partial _ { x } ^ { \alpha } b$ ; confidence 0.150
+
47. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110138.png ; $+ \sum _ { 0 \leq k < N } 2 ^ { - k } \sum _ { | \alpha | + | \beta | = k } \frac { ( - 1 ) ^ { \beta | } } { \alpha ! \beta ! } D _ { \xi } ^ { \alpha } \partial _ { x } ^ { \beta } a D _ { \xi } ^ { \beta } \partial _ { x } ^ { \alpha } b,$ ; confidence 0.150
  
48. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w13008051.png ; $\vec { \theta } = \sum t _ { \gamma } \vec { V } _ { N }$ ; confidence 0.150
+
48. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w13008051.png ; $\overset{\rightharpoonup} { \theta } = \sum t _ { n } \overset{\rightharpoonup} { V } _ { n }$ ; confidence 0.150
  
49. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120210/t12021056.png ; $\phi : E \rightarrow GF ( q ) ^ { x }$ ; confidence 0.150
+
49. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120210/t12021056.png ; $\phi : E \rightarrow \operatorname {GF} ( q ) ^ { n }$ ; confidence 0.150
  
 
50. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130190/b13019063.png ; $\overline { a _ { 1 } } / q _ { 1 }$ ; confidence 0.150
 
50. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130190/b13019063.png ; $\overline { a _ { 1 } } / q _ { 1 }$ ; confidence 0.150
  
51. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130240/f13024048.png ; $n _ { \Phi } L ( \varepsilon ) = 2 ( \operatorname { dim } _ { \Phi } U ( \varepsilon ) + \operatorname { dim } _ { \Phi } \{ K ( x , y ) \} _ { \operatorname { span } } )$ ; confidence 0.150
+
51. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130240/f13024048.png ; $\operatorname { dim } _ { \Phi } L ( \varepsilon ) = 2 ( \operatorname { dim } _ { \Phi } U ( \varepsilon ) + \operatorname { dim } _ { \Phi } \{ K ( x , y ) \} _ { \operatorname { span } } )+$ ; confidence 0.150
  
52. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120320/b12032087.png ; $( a ; ) _ { j = 1 } ^ { \infty } 1$ ; confidence 0.150
+
52. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120320/b12032087.png ; $( a _ { j } ) _ { j = 1 } ^ { \infty } 1$ ; confidence 0.150
  
53. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120270/m12027016.png ; $\frac { ( n - 1 ) ! } { ( 2 \pi i ) ^ { \frac { N } { N } } } \int _ { \partial D } \varphi \frac { \sum _ { k = 1 } ^ { n } ( - 1 ) ^ { k - 1 } w _ { k } d w [ k ] \wedge d f } { \{ w , f \} ^ { N } } =$ ; confidence 0.149
+
53. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120270/m12027016.png ; $\frac { ( n - 1 ) ! } { ( 2 \pi i ) ^ {n } } \int _ { \partial D } \varphi \frac { \sum _ { k = 1 } ^ { n } ( - 1 ) ^ { k - 1 } w _ { k } d w [ k ] \wedge d f } { \rangle w , f \langle ^ { n } } =$ ; confidence 0.149
  
54. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f120230115.png ; $\omega \wedge L _ { K } = L ( \omega \wedge K ) + ( - 1 ) ^ { q + k - 1 } i ( d \omega \wedge K ) , [ \omega \wedge L _ { 1 } , L _ { 2 } ] ^ { \wedge } = \omega \wedge [ L _ { 1 } , L _ { 2 } ] +$ ; confidence 0.149
+
54. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f120230115.png ; $\omega \bigwedge \mathcal{L} _ { K } = \mathcal{L} ( \omega \bigwedge K ) + ( - 1 ) ^ { q + k - 1 } i ( d \omega \bigwedge K ) , [ \omega \bigwedge L _ { 1 } , L _ { 2 } ] ^ { \bigwedge } = \omega \bigwedge [ L _ { 1 } , L _ { 2 } ] +$ ; confidence 0.149
  
55. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d120230170.png ; $g \Theta _ { i } = \left( \begin{array} { l l l } { \delta _ { i } } & { 0 } & { \ldots } & { 0 } \end{array} \right)$ ; confidence 0.149
+
55. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d120230170.png ; $g _ { i }  \Theta _ { i } = \left( \begin{array} { l l l } { \delta _ { i } } & { 0 } & { \ldots } & { 0 } \end{array} \right),$ ; confidence 0.149
  
56. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c120170168.png ; $\langle M _ { p } ( n ) \hat { f } , g \rangle = \tau ( p f g )$ ; confidence 0.149
+
56. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c120170168.png ; $\langle M _ { p } ( n ) \hat { f } , \hat {g} \rangle = \tau ( p f \overline{g)$ ; confidence 0.149
  
57. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130090/c13009018.png ; $\vec { c } ; = 1$ ; confidence 0.149
+
57. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130090/c13009018.png ; $\overline{ c }_{j}  = 1$ ; confidence 0.149
  
58. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g130060128.png ; $\sigma ( \Omega ( A ) ) = \left\{ \begin{array} { c c } { \text { boundary of } K _ { 1,2 } ( A ) } & { n = 2 } \\ { \cup _ { i , j = 1 , i \neq j } ^ { n } K _ { i , j } ( A ) } & { n \geq 3 } \end{array} \right.$ ; confidence 0.149
+
58. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g130060128.png ; $\sigma ( \Omega ( A ) ) = \left\{ \begin{array} { c c } { \text { boundary of } K _ { 1,2 } ( A ) } & { n = 2; } \\ { \cup _ { i , j = 1 , i \neq j } ^ { n } K _ { i , j } ( A ) } & { n \geq 3. } \end{array} \right.$ ; confidence 0.149
  
59. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120040/s120040127.png ; $\pi = w _ { 1 } \dots w _ { x }$ ; confidence 0.149
+
59. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120040/s120040127.png ; $\pi = w _ { 1 } \dots w _ { n }$ ; confidence 0.149
  
60. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014050.png ; $\mathscr { Q } ( \underline { \operatorname { dim } } X ) = \chi _ { Q } ( [ X ] )$ ; confidence 0.149
+
60. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014050.png ; $q_{Q} ( \underline { \operatorname { dim } } \mathbf{X} ) = \chi _ { Q } ( [ \mathbf{X} ] )$ ; confidence 0.149
  
61. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130060/b13006018.png ; $A , \| A \| _ { \infty } = \operatorname { max } _ { j } \sum _ { i } | \alpha _ { i } j |$ ; confidence 0.149
+
61. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130060/b13006018.png ; $\|A\|_{2}= \text{largest singular value of A} , \| A \| _ { \infty } = \operatorname { max } _ { j } \sum _ { i } | \alpha _ { i j} |,$ ; confidence 0.149
  
62. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130040/z13004018.png ; $\operatorname { cr } ( K _ { a } , m )$ ; confidence 0.149
+
62. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130040/z13004018.png ; $\operatorname { cr } ( K _ { , m} )$ ; confidence 0.149
  
63. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032026.png ; $R _ { + 1 } ^ { ( i ) } ( z ) = \frac { l R _ { j } ^ { ( i ) } ( z ) - 1 } { z }$ ; confidence 0.149
+
63. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032026.png ; $R _ {l + 1 } ^ { ( i ) } ( z ) = \frac { l R _ { j } ^ { ( i ) } ( z ) - 1 } { z }.$ ; confidence 0.149
  
64. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c12021014.png ; $\{ P _ { N } ^ { / / } \}$ ; confidence 0.149
+
64. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c12021014.png ; $\{ P _ { n } ^ { \prime \prime } \}$ ; confidence 0.149
  
65. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120160/l12016034.png ; $111$ ; confidence 0.149
+
65. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120160/l12016034.png ; $LM$ ; confidence 0.149
  
66. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120070/c12007018.png ; $\operatorname { pr } ( \alpha _ { 1 } , \dots , \alpha _ { R } )$ ; confidence 0.149
+
66. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120070/c12007018.png ; $\operatorname { pr } _{( \alpha _ { 1 } , \dots , \alpha _ { n } )}$ ; confidence 0.149
  
67. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130040/g130040189.png ; $\alpha \in R ^ { \gamma }$ ; confidence 0.149
+
67. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130040/g130040189.png ; $a \in \mathbf{R} ^ { n }$ ; confidence 0.149
  
68. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f120230135.png ; $\frac { ( - 1 ) ^ { ( k - 1 ) l } } { ( k - 1 ) ! ( 1 - 1 ) ! 2 ! } \times \times \sum _ { \sigma } \operatorname { sign } \sigma K ( L ( [ X _ { \sigma 1 } , X _ { \sigma 2 } ] , X _ { \sigma 3 } , \ldots ) , X _ { \sigma ( 1 + 2 ) , \ldots } )$ ; confidence 0.149
+
68. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f120230135.png ; $+\frac { ( - 1 ) ^ { ( k - 1 ) \text{l} } } { ( k - 1 ) ! ( \text{l} - 1 ) ! 2 ! } \times \times \sum _ { \sigma } \operatorname { sign } \sigma K ( L ( [ X _ { \sigma 1 } , X _ { \sigma 2 } ] , X _ { \sigma 3 } , \ldots ) , X _ { \sigma ( \text{l} + 2 ) , \ldots } ).$ ; confidence 0.149
  
69. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520159.png ; $e _ { i } ^ { N _ { i j } }$ ; confidence 0.149
+
69. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520159.png ; $e _ { i } ^ { n _ { i j } }$ ; confidence 0.149
  
70. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120110/n12011044.png ; $\xi _ { g } * ( \ldots , \ldots , )$ ; confidence 0.149
+
70. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120110/n12011044.png ; $\xi _ { \underline{x}^{*}}  ( . , \dots , . )$ ; confidence 0.149
  
71. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120130/t12013021.png ; $= ( \frac { e ^ { \sum _ { 1 } y _ { i } z ^ { - i } } \tau _ { n + 1 } ( x , y - [ z ] ) z ^ { n } } { \tau _ { n } ( x , y ) } | _ { n \in Z } , ( L _ { 1 } , L _ { 2 } ) ( \Psi _ { 1 } ( z ) , \Psi _ { 2 } ( z ) ) = ( z , z ^ { - 1 } ) ( \Psi _ { 1 } ( z ) , \Psi _ { 2 } ( z ) )$ ; confidence 0.149
+
71. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120130/t12013021.png ; $= \left( \frac { e ^ { \sum _ { 1 }^{\infty} y _ { i } z ^ { - i } } \tau _ { n + 1 } ( x , y - [ z ] ) z ^ { n } } { \tau _ { n } ( x , y ) } \right) _ { n \in \mathbf{Z} } , ( L _ { 1 } , L _ { 2 } ) ( \Psi _ { 1 } ( z ) , \Psi _ { 2 } ( z ) ) = ( z , z ^ { - 1 } ) ( \Psi _ { 1 } ( z ) , \Psi _ { 2 } ( z ) ),$ ; confidence 0.149
  
72. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240314.png ; $\hat { \beta } = ( X ^ { \prime } X ) ^ { - 1 } X ^ { \prime } y$ ; confidence 0.148
+
72. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240314.png ; $\hat { \beta } = ( \mathbf{X} ^ { \prime } \mathbf{X} ) ^ { - 1 } \mathbf{X} ^ { \prime } \mathbf{y}$ ; confidence 0.148
  
73. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120010/q12001090.png ; $\sim _ { 0 }$ ; confidence 0.148
+
73. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120010/q12001090.png ; $\mathcal{K} _ { 0 }$ ; confidence 0.148
  
 
74. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090670/s09067089.png ; $S ( \theta ) _ { 1 , \cdots , j _ { q } } ^ { i _ { 1 } \ldots i _ { p } }$ ; confidence 0.148
 
74. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090670/s09067089.png ; $S ( \theta ) _ { 1 , \cdots , j _ { q } } ^ { i _ { 1 } \ldots i _ { p } }$ ; confidence 0.148
  
75. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c12008080.png ; $E _ { 11 }$ ; confidence 0.148
+
75. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c12008080.png ; $E _ { k }$ ; confidence 0.148
  
76. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082320/r08232011.png ; $E _ { 2 } ( | x - y | ) = \operatorname { ln } \frac { 1 } { | x - y | } , \quad E _ { n } ( | x - y | ) = \frac { 1 } { | x - y | ^ { n - 2 } }$ ; confidence 0.148
+
76. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082320/r08232011.png ; $E _ { 2 } ( | x - y | ) = \operatorname { ln } \frac { 1 } { | x - y | } , \quad E _ { n } ( | x - y | ) = \frac { 1 } { | x - y | ^ { n - 2 } },$ ; confidence 0.148
  
77. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120150/e12015021.png ; $\frac { D \dot { x } ^ { 2 } } { d t } = \varepsilon ^ { i } = \frac { 1 } { 2 } g ^ { i } \cdot r \dot { x } \square ^ { r } - g ^ { i }$ ; confidence 0.148
+
77. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120150/e12015021.png ; $\frac { \mathcal{D} \dot { x } ^ { i } } { d t } = \varepsilon ^ { i } = \frac { 1 } { 2 } g ^ { i } ; r \dot { x } \square ^ { r } - g ^ { i }.$ ; confidence 0.148
  
78. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120170/s12017064.png ; $x \sim i y \Leftrightarrow x = y$ ; confidence 0.148
+
78. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120170/s12017064.png ; $x \sim_{ i} y \Leftrightarrow x = y$ ; confidence 0.148
  
79. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018061.png ; $Alg _ { 1 - } ( L _ { n } )$ ; confidence 0.148
+
79. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018061.png ; $\mathsf{Alg} _ {\vdash } ( L _ { n } )$ ; confidence 0.148
  
80. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120170/m12017011.png ; $\operatorname { det } \left( \begin{array} { c c c } { 1 } & { \ldots } & { I } \\ { X _ { 1 } } & { \ldots } & { X _ { n } } \\ { \vdots } & { \ldots } & { \vdots } \\ { X _ { 1 } ^ { n - 1 } } & { \ldots } & { X _ { n } ^ { n - 1 } } \end{array} \right)$ ; confidence 0.148
+
80. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120170/m12017011.png ; $\operatorname { det } \left( \begin{array} { c c c } { I } & { \ldots } & { I } \\ { X _ { 1 } } & { \ldots } & { X _ { n } } \\ { \vdots } & { \ldots } & { \vdots } \\ { X _ { 1 } ^ { n - 1 } } & { \ldots } & { X _ { n } ^ { n - 1 } } \end{array} \right)$ ; confidence 0.148
  
81. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b1204202.png ; $\otimes \rightarrow \otimes ^ { 0 p }$ ; confidence 0.147
+
81. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b1204202.png ; $\otimes \rightarrow \otimes ^ { \text{op} }$ ; confidence 0.147
  
82. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o13006052.png ; $\overline { \gamma } = \tilde { \gamma } ^ { \prime \prime }$ ; confidence 0.147
+
82. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o13006052.png ; $\tilde { \gamma } = \tilde { \gamma } ^ { \prime \prime }$ ; confidence 0.147
  
83. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120150/d12015042.png ; $Z [ \zeta _ { e } ]$ ; confidence 0.147
+
83. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120150/d12015042.png ; $\mathbf{Z} [ \zeta _ { e } ]$ ; confidence 0.147
  
84. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l12012027.png ; $\alpha \in \hat { K } _ { p }$ ; confidence 0.147
+
84. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l12012027.png ; $a \in \hat { K } _ { \text{p} }$ ; confidence 0.147
  
85. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c1202105.png ; $P _ { N } ^ { \prime } ( A _ { N } ) \rightarrow 0$ ; confidence 0.146
+
85. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c1202105.png ; $P _ { n } ^ { \prime } ( A _ { n } ) \rightarrow 0$ ; confidence 0.146
  
86. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120070/h12007020.png ; $a \circ k b$ ; confidence 0.146
+
86. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120070/h12007020.png ; $a \circ_{k} b$ ; confidence 0.146
  
87. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f13029014.png ; $T _ { \text { prod } } ( \alpha , b ) = a . b$ ; confidence 0.146
+
87. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f13029014.png ; $T _ { \text { prod } } ( a , b ) = a . b$ ; confidence 0.146
  
88. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180170.png ; $8 ^ { r + 2 } E$ ; confidence 0.146
+
88. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180170.png ; $\otimes ^ { r + 2 } \mathcal{E}$ ; confidence 0.146
  
 
89. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130010/r1300109.png ; $\mu : = \operatorname { max } \operatorname { deg } _ { x _ { 0 } } a _ { i }$ ; confidence 0.145
 
89. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130010/r1300109.png ; $\mu : = \operatorname { max } \operatorname { deg } _ { x _ { 0 } } a _ { i }$ ; confidence 0.145
  
90. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l120120151.png ; $M = ( K _ { s } ( \overline { \sigma } ) \cap K _ { tot } S ) _ { 1 }$ ; confidence 0.145
+
90. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l120120151.png ; $M = ( K _ { s } ( \overline { \sigma } ) \cap K _ { \text{tot} S} ) _ { \text{ins} }$ ; confidence 0.145
  
91. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036930/e03693078.png ; $c X P$ ; confidence 0.145
+
91. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036930/e03693078.png ; $\operatorname {exp}$ ; confidence 0.145
  
92. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120140/t120140164.png ; $\Lambda = \left( \begin{array} { c c c c } { z ^ { k _ { 1 } } } & { 0 } & { \ldots } & { 0 } \\ { 0 } & { z ^ { k } 2 } & { \ldots } & { 0 } \\ { \vdots } & { \vdots } & { \ddots } & { \vdots } \\ { 0 } & { 0 } & { \ldots } & { z ^ { k _ { R } } } \end{array} \right) , k _ { 1 } , \ldots , k _ { N } \in Z$ ; confidence 0.145
+
92. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120140/t120140164.png ; $\Lambda = \left( \begin{array} { c c c c } { z ^ { k _ { 1 } } } & { 0 } & { \ldots } & { 0 } \\ { 0 } & { z ^ { k_{2} } } & { \ldots } & { 0 } \\ { \vdots } & { \vdots } & { \ddots } & { \vdots } \\ { 0 } & { 0 } & { \ldots } & { z ^ { k _ { n } } } \end{array} \right) , k _ { 1 } , \ldots , k _ { n } \in \mathbf{Z},$ ; confidence 0.145
  
93. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l12012062.png ; $O _ { p } = \{ x \in L : | x | _ { p } \leq 1 \}$ ; confidence 0.145
+
93. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l12012062.png ; $O _ { \text{p} } = \{ x \in L : | x | _ { \text{p} } \leq 1 \}$ ; confidence 0.145
  
 
94. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130230/m130230142.png ; $K _ { X _ { n } } + B _ { n }$ ; confidence 0.145
 
94. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130230/m130230142.png ; $K _ { X _ { n } } + B _ { n }$ ; confidence 0.145
  
95. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120260/a120260124.png ; $A = C \{ Z _ { 1 } , \dots , Z _ { Y } \}$ ; confidence 0.145
+
95. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120260/a120260124.png ; $A = \mathbf{C} \{ Z _ { 1 } , \dots , Z _ { r } \}$ ; confidence 0.145
  
96. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014050/a01405027.png ; $\hat { p } _ { 2 }$ ; confidence 0.145
+
96. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014050/a01405027.png ; $h_{1}$ ; confidence 0.145
  
97. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090670/s09067094.png ; $S _ { j _ { 1 } } ^ { i _ { 1 } \cdots j _ { p } }$ ; confidence 0.145
+
97. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090670/s09067094.png ; $S _ { j _ { 1 } \square \dots j_q } ^ { i _ { 1 } \cdots j _ { p } }$ ; confidence 0.145
  
98. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120190/d12019012.png ; $\hat { r }$ ; confidence 0.144
+
98. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120190/d12019012.png ; $\tilde { E }$ ; confidence 0.144
  
99. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010118.png ; $A \in R ^ { m \times n }$ ; confidence 0.144
+
99. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010118.png ; $A \in \mathbf{R} ^ { m \times n }$ ; confidence 0.144
  
100. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040412.png ; $Mod ^ { * } L D = S P Mod ^ { * } L D$ ; confidence 0.144
+
100. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040412.png ; $\operatorname{Mod} ^ { * \text{ L}} \mathcal{D} = \mathbf{SP} \operatorname{Mod} ^ { * \text{ L}} \mathcal{D}$ ; confidence 0.144
  
101. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120050/g12005032.png ; $\mu _ { 0 } ( \dot { k } _ { C } , R _ { C } ) = i \mu _ { C }$ ; confidence 0.144
+
101. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120050/g12005032.png ; $\mu _ { 0 } ( k _ { c } , R _ { c } ) = i \mu _ { c }$ ; confidence 0.144
  
102. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130130/h1301308.png ; $k x = k _ { 1 } x _ { 1 } + \ldots + k _ { N } x _ { N }$ ; confidence 0.144
+
102. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130130/h1301308.png ; $\mathbf{k} . \mathbf{x} = k _ { 1 } x _ { 1 } + \ldots + k _ { n } x _ { n }$ ; confidence 0.144
  
103. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020084.png ; $r$ ; confidence 0.144
+
103. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020084.png ; $U$ ; confidence 0.144
  
104. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130040/b13004012.png ; $b \subset I _ { 1 }$ ; confidence 0.144
+
104. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130040/b13004012.png ; $I _ { 2 } \subset I _ { 1 }$ ; confidence 0.144
  
105. https://www.encyclopediaofmath.org/legacyimages/u/u130/u130020/u13002044.png ; $\int _ { - \infty } ^ { \infty } \int _ { - \infty } ^ { \infty } | f ( x ) \| \hat { f } ( y ) | e ^ { 2 \pi | y | } < \infty$ ; confidence 0.144
+
105. https://www.encyclopediaofmath.org/legacyimages/u/u130/u130020/u13002044.png ; $\int _ { - \infty } ^ { \infty } \int _ { - \infty } ^ { \infty } | f ( x ) | \left| \hat { f } ( y ) \right| e ^ { 2 \pi | xy | } < \infty,$ ; confidence 0.144
  
 
106. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130480/s13048018.png ; $C _ { k } = \Lambda ^ { k } T ^ { * } M \otimes R _ { m } / \delta ( \Lambda ^ { k - 1 } T ^ { * } M \otimes g _ { m + 1 } )$ ; confidence 0.144
 
106. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130480/s13048018.png ; $C _ { k } = \Lambda ^ { k } T ^ { * } M \otimes R _ { m } / \delta ( \Lambda ^ { k - 1 } T ^ { * } M \otimes g _ { m + 1 } )$ ; confidence 0.144
  
107. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120040/l12004038.png ; $u _ { i } ^ { n + 1 } = b _ { - 1 } u _ { t - 1 } ^ { n } + b _ { 0 } u _ { i } ^ { n } + b _ { 1 } u _ { + 1 } ^ { n }$ ; confidence 0.144
+
107. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120040/l12004038.png ; $u _ { i } ^ { n + 1 } = b _ { - 1 } u _ { i - 1 } ^ { n } + b _ { 0 } u _ { i } ^ { n } + b _ { 1 } u _ { i + 1 } ^ { n },$ ; confidence 0.144
  
108. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120090/m1200906.png ; $J = ( j _ { 1 } , \ldots , j _ { n } ) \in N ^ { X }$ ; confidence 0.144
+
108. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120090/m1200906.png ; $J = ( j _ { 1 } , \ldots , j _ { n } ) \in \mathbf{N} ^ { n }$ ; confidence 0.144
  
109. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120100/n12010048.png ; $\sum _ { i = 0 } ^ { k } \alpha _ { i } y _ { m + i } = h \sum _ { i = 0 } ^ { k } \beta _ { i } f ( x _ { m } + i , y _ { m + i } )$ ; confidence 0.143
+
109. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120100/n12010048.png ; $\sum _ { i = 0 } ^ { k } \alpha _ { i } y _ { m + i } = h \sum _ { i = 0 } ^ { k } \beta _ { i } f ( x _ { m + i} , y _ { m + i } ).$ ; confidence 0.143
  
110. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130260/b13026025.png ; $f : \overline { \Omega } \subset R ^ { N } \rightarrow R ^ { X }$ ; confidence 0.143
+
110. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130260/b13026025.png ; $f : \overline { \Omega } \subset \mathbf{R} ^ { n } \rightarrow \mathbf{R} ^ { n }$ ; confidence 0.143
  
111. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110020/l11002058.png ; $e \preceq \mathfrak { c } _ { i } \preceq \mathfrak { b } _ { i }$ ; confidence 0.143
+
111. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110020/l11002058.png ; $e \preceq c _ { i } \preceq b _ { i }$ ; confidence 0.143
  
112. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120050/w12005039.png ; $D _ { n } ^ { * } = R [ x _ { 1 } , \ldots , x _ { n } ] / \langle x _ { 1 } , \ldots , x _ { n } \rangle ^ { r + 1 }$ ; confidence 0.143
+
112. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120050/w12005039.png ; $\mathcal{D} _ { n } ^ { r } = \mathbf{R} [ x _ { 1 } , \ldots , x _ { n } ] / \langle x _ { 1 } , \ldots , x _ { n } \rangle ^ { r + 1 }$ ; confidence 0.143
  
113. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120040/s12004056.png ; $s ( l ) = h _ { l } \text { and } s _ { \langle 1 ^ { l } } \rangle = e l$ ; confidence 0.143
+
113. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120040/s12004056.png ; $s _{( l )} = h _ { l } \text { and } s _ { ( 1 ^ { l }) } = e_{ l},$ ; confidence 0.143
  
114. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001028.png ; $\{ I ^ { 1 } , R ^ { 2 } , \hat { P } \}$ ; confidence 0.143
+
114. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001028.png ; $\{ I ^ { 1 } , I ^ { 2 } , I ^ { 3 } \}$ ; confidence 0.143
  
115. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130530/s13053075.png ; $1 \frac { G } { P }$ ; confidence 0.143
+
115. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130530/s13053075.png ; $1 ^{ G } _ { P }$ ; confidence 0.143
  
116. https://www.encyclopediaofmath.org/legacyimages/x/x120/x120030/x12003019.png ; $F _ { X } ( q ) = \frac { 1 } { 2 \pi } \int _ { c ^ { 1 } } X f ( \theta , x , \theta + q ) d \theta$ ; confidence 0.143
+
116. https://www.encyclopediaofmath.org/legacyimages/x/x120/x120030/x12003019.png ; $F _ { x } ( q ) = \frac { 1 } { 2 \pi } \int _ { S ^ { 1 } } X f ( \theta , x . \theta + q ) d \theta$ ; confidence 0.143
  
117. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290204.png ; $[ H _ { m } ^ { i } ( R ) ] _ { n } = ( 0 )$ ; confidence 0.143
+
117. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290204.png ; $[ H _ { \mathfrak{M} } ^ { i } ( R ) ] _ { n } = ( 0 )$ ; confidence 0.143
  
118. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120050/h12005013.png ; $4,74$ ; confidence 0.143
+
118. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120050/h12005013.png ; $u_{:m}$ ; confidence 0.143
  
119. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f120230124.png ; $= \frac { 1 } { k ! ! ! } \sum _ { \sigma } \operatorname { sign } \sigma \times \times L ( K _ { \sigma 1 } , \ldots , X _ { \sigma k } ) ) ( \omega ( X _ { \sigma ( k + 1 ) } , \ldots , X _ { \sigma ( k + 1 ) } ) ) +$ ; confidence 0.142
+
119. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f120230124.png ; $= \frac { 1 } { k ! \text{l} ! } \sum _ { \sigma } \operatorname { sign } \sigma \times \times \mathcal{L} ( K(X _ { \sigma 1 } , \ldots , X _ { \sigma k } ) ) ( \omega ( X _ { \sigma ( k + 1 ) } , \ldots , X _ { \sigma ( k + 1 ) } ) ) +$ ; confidence 0.142
  
120. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120270/b12027045.png ; $\operatorname { lim } _ { A } u _ { n } = \frac { 1 } { E X _ { 1 } }$ ; confidence 0.142
+
120. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120270/b12027045.png ; $\operatorname { lim } _ { n } u _ { n } = \frac { 1 } { \mathsf{E} X _ { 1 } }.$ ; confidence 0.142
  
121. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110020/l11002088.png ; $r 0$ ; confidence 0.142
+
121. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110020/l11002088.png ; $ro$ ; confidence 0.142
  
122. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120110/d12011033.png ; $\operatorname { lim } _ { i \rightarrow \infty } \sum _ { j = 1 } ^ { \infty } x _ { i j } x _ { j } = 0$ ; confidence 0.142
+
122. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120110/d12011033.png ; $\operatorname { lim } _ { i \rightarrow \infty } \sum _ { j = 1 } ^ { \infty } x _ { n_i n_j } = 0.$ ; confidence 0.142
  
123. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130100/c13010029.png ; $\int a \cdot f d m = a \cdot ( C ) \int f d m$ ; confidence 0.142
+
123. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130100/c13010029.png ; $(C) \int a . f d m = a . ( C ) \int f d m$ ; confidence 0.142
  
124. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040113.png ; $T , \varphi \operatorname { lo } \psi$ ; confidence 0.142
+
124. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040113.png ; $T , \varphi \vdash_{\mathcal{D}} \psi$ ; confidence 0.142
  
125. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120080/q12008062.png ; $\sum _ { p \in E , S } \rho _ { p } E [ W _ { p } ] + \sum _ { p \in L } \rho _ { p } ( 1 - \frac { \lambda _ { p } R } { 1 - \rho } ) E [ W _ { p } ] =$ ; confidence 0.142
+
125. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120080/q12008062.png ; $\sum _ { p \in \text{E,G} } \rho _ { p } \mathsf{E} [ W _ { p } ] + \sum _ { p \in \text{L} } \rho _ { p } \left( 1 - \frac { \lambda _ { p } R } { 1 - \rho } \right) \mathsf{E} [ W _ { p } ] =$ ; confidence 0.142
  
126. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130170/f1301706.png ; $\| u \| A _ { 2 } ( G ) = \operatorname { inf } \{ N _ { 2 } ( k ) N _ { 2 } ( l ) : k , l \in L _ { C } ^ { 2 } ( G ) , u = \overline { k } ^ { * } t \}$ ; confidence 0.142
+
126. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130170/f1301706.png ; $\| u \| A _ { 2 ^{ ( G )}} = \operatorname { inf } \{ N _ { 2 } ( k ) N _ { 2 } ( l ) : k , l \in \mathcal{L} _ { \text{C} } ^ { 2 } ( G ) , u = \overline { k } *  \check{t} \}.$ ; confidence 0.142
  
127. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120020/h120020119.png ; $\{ \rho _ { N } ( \phi ) \} _ { R } \geq 0 \in I ^ { p }$ ; confidence 0.142
+
127. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120020/h120020119.png ; $\{ \rho _ { n } ( \phi ) \} _ { \geq 0} \in \text{I} ^ { p }$ ; confidence 0.142
  
128. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130090/c13009020.png ; $a _ { n } = \frac { 2 } { N } \frac { 1 } { \vec { c } _ { n } } \sum _ { j = 0 } ^ { N } u ( x _ { j } ) \frac { T _ { n } ( x _ { j } ) } { c _ { j } }$ ; confidence 0.142
+
128. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130090/c13009020.png ; $a _ { n } = \frac { 2 } { N } \frac { 1 } { \overline { c } _ { n } } \sum _ { j = 0 } ^ { N } u ( x _ { j } ) \frac { T _ { n } ( x _ { j } ) } { \overline { c } _ { j } }.$ ; confidence 0.142
  
129. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046910/h04691037.png ; $\{ f _ { N } \} _ { N }$ ; confidence 0.142
+
129. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046910/h04691037.png ; $\{ f _ { n } \} _ { n }$ ; confidence 0.142
  
130. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120150/e12015031.png ; $\frac { d ^ { 2 } \xi ^ { i } } { d t ^ { 2 } } + g _ { i } ^ { i } \frac { d \xi ^ { r } } { d t } + g _ { r } ^ { i } \xi ^ { r } = 0$ ; confidence 0.142
+
130. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120150/e12015031.png ; $\frac { d ^ { 2 } \xi ^ { i } } { d t ^ { 2 } } + g _ { , r } ^ { i } \frac { d \xi ^ { r } } { d t } + g _ {, r } ^ { i } \xi ^ { r } = 0,$ ; confidence 0.142
  
 
131. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120110/n12011033.png ; $y \in K _ { j } ^ { c }$ ; confidence 0.141
 
131. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120110/n12011033.png ; $y \in K _ { j } ^ { c }$ ; confidence 0.141
  
132. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013010/a013010127.png ; $n > 0$ ; confidence 0.141
+
132. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013010/a013010127.png ; $M > 0$ ; confidence 0.141
  
 
133. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240331.png ; $p _ { 1 }$ ; confidence 0.141
 
133. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240331.png ; $p _ { 1 }$ ; confidence 0.141
  
134. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b11022064.png ; $H _ { M } ^ { \bullet } ( M _ { \Sigma } , Q ( * ) )$ ; confidence 0.141
+
134. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b11022064.png ; $H _ { \mathcal{M} } ^ { \bullet } ( M _ { \mathbf{Z} } , \mathbf{Q} ( * ) )$ ; confidence 0.141
  
135. https://www.encyclopediaofmath.org/legacyimages/z/z120/z120010/z1200107.png ; $[ e _ { i } , e _ { j } ] = ( \left( \begin{array} { c } { i + j + 1 } \\ { j } \end{array} \right) - \left( \begin{array} { c } { i + j + 1 } \\ { i } \end{array} \right) ) e _ { i + j }$ ; confidence 0.141
+
135. https://www.encyclopediaofmath.org/legacyimages/z/z120/z120010/z1200107.png ; $[ e _ { i } , e _ { j } ] = \left( \left( \begin{array} { c } { i + j + 1 } \\ { j } \end{array} \right) - \left( \begin{array} { c } { i + j + 1 } \\ { i } \end{array} \right) \right) e _ { i + j }.$ ; confidence 0.141
  
136. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120070/c12007094.png ; $c ^ { * } \otimes k C$ ; confidence 0.141
+
136. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120070/c12007094.png ; $\mathcal{C} ^ { * } \otimes_{ k} \mathcal{C}$ ; confidence 0.141
  
137. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130020/f13002018.png ; $.0$ ; confidence 0.141
+
137. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130020/f13002018.png ; $\delta_{\text{BRST}}$ ; confidence 0.141
  
138. https://www.encyclopediaofmath.org/legacyimages/o/o120/o120050/o12005050.png ; $\psi ( v ) = \operatorname { sup } _ { x > 0 } \{ u v - \varphi ( u ) \}$ ; confidence 0.141
+
138. https://www.encyclopediaofmath.org/legacyimages/o/o120/o120050/o12005050.png ; $\psi ( v ) = \operatorname { sup } _ { u > 0 } \{ u v - \varphi ( u ) \}$ ; confidence 0.141
  
139. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b13029058.png ; $( \alpha _ { 1 } , \dots , a _ { i - 1 } ) : \alpha _ { i } = ( \alpha _ { 1 } , \dots , \alpha _ { i - 1 } ) : m$ ; confidence 0.141
+
139. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b13029058.png ; $( a _ { 1 } , \dots , a _ { i - 1 } ) : a _ { i } = ( a _ { 1 } , \dots , a _ { i - 1 } ) : \mathfrak{m}$ ; confidence 0.141
  
140. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120050/q12005099.png ; $( . . ) _ { D } 2 f ( x ^ { * } )$ ; confidence 0.140
+
140. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120050/q12005099.png ; $\langle . , . \rangle _ { D ^{ 2} f ( x ^ { * } )}$ ; confidence 0.140
  
141. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018018.png ; $L ( \tau ) = \langle Fm _ { \tau } , Mod _ { \tau } , F _ { \tau } , mng _ { \tau } , t _ { \tau } \rangle$ ; confidence 0.140
+
141. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018018.png ; $\mathcal{L} ( \tau ) = \langle \operatorname { Fm} _ { \tau } , \operatorname { Mod} _ { \tau } , \models _ { \tau } , \operatorname { mng} _ { \tau } , \vdash _ { \tau } \rangle$ ; confidence 0.140
  
142. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130270/a13027076.png ; $x \in X _ { y }$ ; confidence 0.140
+
142. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130270/a13027076.png ; $x \in X _ { n }$ ; confidence 0.140
  
143. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130120/b13012036.png ; $( f ^ { * } d \mu ) _ { N } ( x ) = \sum _ { k } \lambda ( \frac { k } { N } ) \hat { f } ( k ) e ^ { i k x }$ ; confidence 0.140
+
143. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130120/b13012036.png ; $( f ^ { * } d \mu ) _ { N } ( x ) = \sum _ { k } \lambda \left( \frac { k } { N } \right) \hat { f } ( k ) e ^ { i k x },$ ; confidence 0.140
  
144. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120040/c12004063.png ; $- \frac { 1 } { \langle \rho ^ { \prime } , \zeta \} ^ { N } } \sum _ { | \alpha | = 0 } ^ { m } \frac { ( | \alpha | + n - 1 ) ! } { \alpha _ { 1 } ! \ldots \alpha _ { N } ! } ( \frac { \rho ^ { \prime } ( \zeta ) } { \langle \rho ^ { \prime } , \zeta \rangle } ) ^ { \alpha } z ^ { \alpha } \sigma$ ; confidence 0.140
+
144. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120040/c12004063.png ; $\left. - \frac { 1 } { \langle \rho ^ { \prime } , \zeta \rangle ^ { n } } \sum _ { | \alpha | = 0 } ^ { m } \frac { ( | \alpha | + n - 1 ) ! } { \alpha _ { 1 } ! \ldots \alpha _ { n } ! } \left( \frac { \rho ^ { \prime } ( \zeta ) } { \langle \rho ^ { \prime } , \zeta \rangle } \right) ^ { \alpha } z ^ { \alpha } \sigma \right],$ ; confidence 0.140
  
145. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120260/c12026062.png ; $\| U ^ { n } \| _ { \infty } \leq C \| U ^ { 0 } \| _ { \infty } , 1 \leq n$ ; confidence 0.140
+
145. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120260/c12026062.png ; $\| \mathbf{U} ^ { n } \| _ { \infty } \leq C \| \mathbf{U} ^ { 0 } \| _ { \infty } , 1 \leq n,$ ; confidence 0.140
  
146. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110010/l11001022.png ; $i$ ; confidence 0.140
+
146. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110010/l11001022.png ; $ca<cb$ ; confidence 0.140
  
147. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013034.png ; $\phi _ { - } ^ { - 1 } \frac { \partial } { \partial t _ { \mu } } - Q _ { 0 } z ^ { \mu } \phi _ { - } = \frac { \partial } { \partial t _ { \mu } } - Q ^ { ( n ) }$ ; confidence 0.140
+
147. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013034.png ; $\phi _ { - } ^ { - 1 } \frac { \partial } { \partial t _ { n } } - Q _ { 0 } z ^ { n } \phi _ { - } = \frac { \partial } { \partial t _ { n } } - Q ^ { ( n ) }.$ ; confidence 0.140
  
148. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010840/a01084019.png ; $e _ { 1 } , \ldots , e _ { x }$ ; confidence 0.140
+
148. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010840/a01084019.png ; $e _ { 1 } , \ldots , e _ { n }$ ; confidence 0.140
  
149. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a120070107.png ; $\{ B _ { j } ( t , x , D _ { x } ) \} _ { j = 1 } ^ { \infty }$ ; confidence 0.140
+
149. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a120070107.png ; $\{ B _ { j } ( t , x , D _ { x } ) \} _ { j = 1 } ^ { m }$ ; confidence 0.140
  
150. https://www.encyclopediaofmath.org/legacyimages/o/o120/o120020/o12002010.png ; $\times \int _ { - \infty } ^ { \infty } \tau | \Gamma ( c - \alpha + \frac { i \tau } { 2 } ) | ^ { 2 } \times \times \square _ { 2 } F _ { 1 } ( \alpha + \frac { i \tau } { 2 } , a - \frac { i \tau } { 2 } ; c ; - \frac { 1 } { x } ) f ( \tau ) d \tau$ ; confidence 0.140
+
150. https://www.encyclopediaofmath.org/legacyimages/o/o120/o120020/o12002010.png ; $\times \int _ { - \infty } ^ { \infty } \tau \left| \Gamma \left( c - a + \frac { i \tau } { 2 } \right) \right| ^ { 2 } \times \times \square _ { 2 } F _ { 1 } \left( a + \frac { i \tau } { 2 } , a - \frac { i \tau } { 2 } ; c ; - \frac { 1 } { x } \right) f ( \tau ) d \tau.$ ; confidence 0.140
  
151. https://www.encyclopediaofmath.org/legacyimages/i/i053/i053030/i05303010.png ; $+ \sigma ^ { 2 } ( t ) f _ { \chi x } ^ { \prime \prime } ( t , X _ { t } ) / 2 ] d t + \sigma ( t ) f _ { X } ^ { \prime } ( t , X _ { t } ) d W _ { t }$ ; confidence 0.139
+
151. https://www.encyclopediaofmath.org/legacyimages/i/i053/i053030/i05303010.png ; $+ \sigma ^ { 2 } ( t ) f _ { x x } ^ { \prime \prime } ( t , X _ { t } ) / 2 ] d t + \sigma ( t ) f _ { x } ^ { \prime } ( t , X _ { t } ) d W _ { t }.$ ; confidence 0.139
  
152. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120260/a12026041.png ; $f ( \not g ) \cong 0$ ; confidence 0.139
+
152. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120260/a12026041.png ; $f (\tilde{y}) \cong 0$ ; confidence 0.139
  
153. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220243.png ; $\phi _ { i } : CH ^ { i } ( X ) ^ { 0 } \rightarrow \operatorname { Ext } _ { H } ^ { 1 } ( Z ( 0 ) , h ^ { 2 i - 1 } ( X ) ( i ) )$ ; confidence 0.139
+
153. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220243.png ; $\phi _ { i } : \operatorname { CH} ^ { i } ( X ) ^ { 0 } \rightarrow \operatorname { Ext } _ { \mathcal{H} } ^ { 1 } ( \mathbf{Z} ( 0 ) , h ^ { 2 i - 1 } ( X ) ( i ) )$ ; confidence 0.139
  
154. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f120110230.png ; $\vec { R } ^ { x } +$ ; confidence 0.139
+
154. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f120110230.png ; $\overline { R } ^ { n }_{ +}$ ; confidence 0.139
  
155. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130080/i13008025.png ; $L _ { 1 } ^ { 11 }$ ; confidence 0.139
+
155. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130080/i13008025.png ; $L _ { 1 } ^ { \prime \prime }$ ; confidence 0.139
  
 
156. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018055.png ; $Alg _ { + } ( L ) = Alg _ { \operatorname { mod } e l s } ( L )$ ; confidence 0.139
 
156. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018055.png ; $Alg _ { + } ( L ) = Alg _ { \operatorname { mod } e l s } ( L )$ ; confidence 0.139

Revision as of 20:04, 24 April 2020

List

1. b13023036.png ; $\operatorname {rist}_{G} ( u ) = \{ g \in G : g \text {acts trivially on } T \backslash T _ { u } \}$ ; confidence 0.155

2. d11022028.png ; $L y \equiv \rho _ { n } \frac { d } { d x } \left( \rho _ { n - 1} \cdots \frac { d } { d x } \left( \rho _ { 1 } \frac { d } { d x } ( \rho _ { 0 } y \right) \right) \ldots ) , \rho _ { i } > 0,$ ; confidence 0.155

3. z13003041.png ; $Z [ e ^ { 2 \pi i m t } f ] ( t , w ) = e ^ { 2 \pi i m t } ( Z f ) ( t , w ).$ ; confidence 0.155

4. e12010018.png ; $w ^ { em } = \mathbf{J} . \mathbf{E} + \frac { \partial \mathbf{P} } { \partial t } . \mathbf{E} - \mathbf{M} . \frac { \partial \mathbf{B} } { \partial t } + \nabla . ( \mathbf{v} ( \mathbf{P} . \mathbf{E} ) ).$ ; confidence 0.154

5. a130040244.png ; $x \dashv \vdash_{\mathcal{D}} E ( K ( x ) , L ( x ) )$ ; confidence 0.154

6. a01220076.png ; $a \in \mathbf{C} ^ { \prime \prime }$ ; confidence 0.154

7. f11016010.png ; $c _{n + 1}$ ; confidence 0.154

8. a01178026.png ; $a$ ; confidence 0.154

9. p130100173.png ; $f _ { j } : \Delta \rightarrow \mathbf{C} ^ { * }$ ; confidence 0.154

10. a130180147.png ; $\mathbf{S}$ ; confidence 0.154

11. a01153014.png ; $\alpha_{1} , \ldots , \alpha _ { n }$ ; confidence 0.154

12. m12021037.png ; $\psi : \mathcal{K} ^ { n } \rightarrow \mathcal{K} ^ { n }$ ; confidence 0.154

13. c12019049.png ; $\phi_{ *} ( \operatorname { ind } ( D ) ) = c _ { q } ( \operatorname { Ch } ( D ) \mathcal{T} ( M ) f ^ { * } ( \phi ) ) [ T M ]$ ; confidence 0.154

14. m13011062.png ; $v _ { i } = - \frac { D x _ { i } } { D t } = \left( \frac { \partial x _ { i } } { \partial t } \right) | _ { x _ { k }^{ 0} }.$ ; confidence 0.154

15. l06004014.png ; $g _ { k + 1 } ( z ) = z g _ { k } ( z ) - \phi _ { k } f ( z ) , \quad k = 0,1 , \ldots ; \quad g _ { 0 } ( z ) = 1;$ ; confidence 0.153

16. i13001071.png ; $I_{i j} = - 1$ ; confidence 0.153

17. s13011028.png ; $\mathfrak { S } _ { w } \in \mathbf{Z} [ x _ { 1 } , x _ { 2 } , \ldots ]$ ; confidence 0.153

18. t12005077.png ; $\sum ^ { i _ { 1 } , \dots , i _ { r }}$ ; confidence 0.153

19. f13028036.png ; $\operatorname { max }_{\tilde{c}^{T}\mathbf{x}} ( \tilde { G } )$ ; confidence 0.153

20. v12002030.png ; $f_{*} : H _ { q } ( X , X _ { 0 } ) \rightarrow H _ { q } ( Y , Y _ { 0 } )$ ; confidence 0.153

21. d12014081.png ; $E _ { n } ( x , a ) = \sum _ { i = 0 } ^ { | n / 2 | } \left( \begin{array} { c } { n - i } \\ { i } \end{array} \right) ( - a ) ^ { i } x ^ { n - 2 i }.$ ; confidence 0.153

22. m12012050.png ; $axb=cxd$ ; confidence 0.152

23. l12017063.png ; $\mathcal{P} = \langle a _ { 1 } , \dots , a _ { g } | R _ { 1 } , \dots , R _ { n } \rangle$ ; confidence 0.152

24. z13001065.png ; $n ^ { k } a ^ { n }$ ; confidence 0.152

25. a130040461.png ; $\operatorname { Mod}^ { *\text{L} } \mathcal{D} ( \mathsf{K} ) = \mathbf{SPP} _ { \text{U} } \mathsf{K}$ ; confidence 0.152

26. w12011034.png ; $\mathcal{S} ( \mathbf{R} ^ { 2 n } )$ ; confidence 0.152

27. a130040634.png ; $\mathbf{Me}_{\mathcal{S} _ { P }} \mathfrak { M }$ ; confidence 0.152

28. m12021031.png ; $\mathbf{E} ^ { n }$ ; confidence 0.152

29. c12008022.png ; $\operatorname { det } [ I _ { n } \lambda - A _ { 1 } ] = \sum _ { i = 0 } ^ { n } a _ { i } \lambda ^ { i } ( a _ { n } = 1 ).$ ; confidence 0.152

30. k1300709.png ; $uu_x$ ; confidence 0.152

31. d13011015.png ; $\left\{ \begin{array} { l l } { \alpha _ { i } \alpha _ { j } + \alpha _ { j } \alpha _ { i } = 0 } & { \text { for } i, j \in \{ x , y , z \} , i \neq j, } \\ { \alpha _ { i } \beta + \beta \alpha _ { i } = 0 } & { \text { for } i , j \in \{ x , y , z. \} } \end{array} \right.$ ; confidence 0.152

32. a130180137.png ; $\operatorname {Id} = \{ \langle a , \ldots , a \rangle : a \in U \}$ ; confidence 0.152

33. d120020229.png ; $\tilde { x } = \sum _ { k \in R ^ { \prime } } \overline { \mu } _ { k } \tilde { x } ^ { ( k ) }$ ; confidence 0.152

34. c12030073.png ; $K _ { 0 } ( \mathcal{O} _ { n } ) = \mathbf{Z} _ { n - 1}$ ; confidence 0.151

35. b1203207.png ; $\| x \| _ { p } = \| u \| _ { p }$ ; confidence 0.151

36. o1300807.png ; $x \in \mathbf{R} _ { + } , f _ { m } ( x , k ) = e ^ { i k x } + o ( 1 ) \operatorname { as } x \rightarrow + \infty.$ ; confidence 0.151

37. k12008048.png ; $K _ { p } ( f ) = \sum _ { r = 0 } ^ { m } \int _ { [ p _ { 0 } \ldots p _ { r } ] } D _ { x - p _ { 0 } \cdots D _ { x } - p _ { r - 1 } }f,$ ; confidence 0.151

38. b110220170.png ; $( r _ { \mathcal{D} } \oplus z _ { \mathcal{D} } ) \otimes \mathbf{R} : ( H _ { \mathcal{M} } ^ { i + 1 } ( X , \mathbf{Q} ( m + 1 ) )_{ \mathbf{Z}} \otimes \mathbf{R} ) \oplus ( B ^ { m } ( X ) \otimes \mathbf{R} ) \overset{\sim}{\rightarrow} H _ { \mathcal{D} } ^ { i + 1 } ( X _ { / \mathbf{R} } , \mathbf{R} ( m + 1 ) )$ ; confidence 0.151

39. g12007027.png ; $\mathcal{Z} _ { m} ^{\pi }$ ; confidence 0.151

40. p07548032.png ; $\mathfrak{M}_2$ ; confidence 0.151

41. b12021073.png ; $( B , \delta ) : 0 \rightarrow B _ { r } \stackrel { \delta _ { r } } { \rightarrow } \ldots \stackrel { \delta _ { 1 } } { \rightarrow } B _ { 1 } \stackrel { \delta _ { 0 } } { \rightarrow } L ( \lambda ) \rightarrow 0$ ; confidence 0.151

42. w120110148.png ; $a _ { 1 } , \dots , a _ { 2k } $ ; confidence 0.151

43. i13008027.png ; $L _ { 3 } ^ { \prime \prime }$ ; confidence 0.151

44. b11022096.png ; $\operatorname { ch } _ { \mathcal{D} } : K _ { i } ( X ) \rightarrow \oplus H ^ { 2 j - i _ { \mathcal{D} } } ( X , A ( j ) )$ ; confidence 0.151

45. k05560069.png ; $i_1$ ; confidence 0.151

46. l12004074.png ; $u _ { i + 1 / 2 } ^ { n + 1 / 2 } = \frac { 1 } { 2 } ( u _ { i } ^ { n } + u _ { i + 1 } ^ { n } ) + \frac { 1 } { 2 } \frac { \Delta t } { \Delta x } ( f _ { i } ^ { n } - f _ { i + 1 } ^ { n } ).$ ; confidence 0.151

47. w120110138.png ; $+ \sum _ { 0 \leq k < N } 2 ^ { - k } \sum _ { | \alpha | + | \beta | = k } \frac { ( - 1 ) ^ { \beta | } } { \alpha ! \beta ! } D _ { \xi } ^ { \alpha } \partial _ { x } ^ { \beta } a D _ { \xi } ^ { \beta } \partial _ { x } ^ { \alpha } b,$ ; confidence 0.150

48. w13008051.png ; $\overset{\rightharpoonup} { \theta } = \sum t _ { n } \overset{\rightharpoonup} { V } _ { n }$ ; confidence 0.150

49. t12021056.png ; $\phi : E \rightarrow \operatorname {GF} ( q ) ^ { n }$ ; confidence 0.150

50. b13019063.png ; $\overline { a _ { 1 } } / q _ { 1 }$ ; confidence 0.150

51. f13024048.png ; $\operatorname { dim } _ { \Phi } L ( \varepsilon ) = 2 ( \operatorname { dim } _ { \Phi } U ( \varepsilon ) + \operatorname { dim } _ { \Phi } \{ K ( x , y ) \} _ { \operatorname { span } } )+$ ; confidence 0.150

52. b12032087.png ; $( a _ { j } ) _ { j = 1 } ^ { \infty } 1$ ; confidence 0.150

53. m12027016.png ; $\frac { ( n - 1 ) ! } { ( 2 \pi i ) ^ {n } } \int _ { \partial D } \varphi \frac { \sum _ { k = 1 } ^ { n } ( - 1 ) ^ { k - 1 } w _ { k } d w [ k ] \wedge d f } { \rangle w , f \langle ^ { n } } =$ ; confidence 0.149

54. f120230115.png ; $\omega \bigwedge \mathcal{L} _ { K } = \mathcal{L} ( \omega \bigwedge K ) + ( - 1 ) ^ { q + k - 1 } i ( d \omega \bigwedge K ) , [ \omega \bigwedge L _ { 1 } , L _ { 2 } ] ^ { \bigwedge } = \omega \bigwedge [ L _ { 1 } , L _ { 2 } ] +$ ; confidence 0.149

55. d120230170.png ; $g _ { i } \Theta _ { i } = \left( \begin{array} { l l l } { \delta _ { i } } & { 0 } & { \ldots } & { 0 } \end{array} \right),$ ; confidence 0.149

56. c120170168.png ; $\langle M _ { p } ( n ) \hat { f } , \hat {g} \rangle = \tau ( p f \overline{g} )$ ; confidence 0.149

57. c13009018.png ; $\overline{ c }_{j} = 1$ ; confidence 0.149

58. g130060128.png ; $\sigma ( \Omega ( A ) ) = \left\{ \begin{array} { c c } { \text { boundary of } K _ { 1,2 } ( A ) } & { n = 2; } \\ { \cup _ { i , j = 1 , i \neq j } ^ { n } K _ { i , j } ( A ) } & { n \geq 3. } \end{array} \right.$ ; confidence 0.149

59. s120040127.png ; $\pi = w _ { 1 } \dots w _ { n }$ ; confidence 0.149

60. t13014050.png ; $q_{Q} ( \underline { \operatorname { dim } } \mathbf{X} ) = \chi _ { Q } ( [ \mathbf{X} ] )$ ; confidence 0.149

61. b13006018.png ; $\|A\|_{2}= \text{largest singular value of A} , \| A \| _ { \infty } = \operatorname { max } _ { j } \sum _ { i } | \alpha _ { i j} |,$ ; confidence 0.149

62. z13004018.png ; $\operatorname { cr } ( K _ { n , m} )$ ; confidence 0.149

63. a11032026.png ; $R _ {l + 1 } ^ { ( i ) } ( z ) = \frac { l R _ { j } ^ { ( i ) } ( z ) - 1 } { z }.$ ; confidence 0.149

64. c12021014.png ; $\{ P _ { n } ^ { \prime \prime } \}$ ; confidence 0.149

65. l12016034.png ; $LM$ ; confidence 0.149

66. c12007018.png ; $\operatorname { pr } _{( \alpha _ { 1 } , \dots , \alpha _ { n } )}$ ; confidence 0.149

67. g130040189.png ; $a \in \mathbf{R} ^ { n }$ ; confidence 0.149

68. f120230135.png ; $+\frac { ( - 1 ) ^ { ( k - 1 ) \text{l} } } { ( k - 1 ) ! ( \text{l} - 1 ) ! 2 ! } \times \times \sum _ { \sigma } \operatorname { sign } \sigma K ( L ( [ X _ { \sigma 1 } , X _ { \sigma 2 } ] , X _ { \sigma 3 } , \ldots ) , X _ { \sigma ( \text{l} + 2 ) , \ldots } ).$ ; confidence 0.149

69. n067520159.png ; $e _ { i } ^ { n _ { i j } }$ ; confidence 0.149

70. n12011044.png ; $\xi _ { \underline{x}^{*}} ( . , \dots , . )$ ; confidence 0.149

71. t12013021.png ; $= \left( \frac { e ^ { \sum _ { 1 }^{\infty} y _ { i } z ^ { - i } } \tau _ { n + 1 } ( x , y - [ z ] ) z ^ { n } } { \tau _ { n } ( x , y ) } \right) _ { n \in \mathbf{Z} } , ( L _ { 1 } , L _ { 2 } ) ( \Psi _ { 1 } ( z ) , \Psi _ { 2 } ( z ) ) = ( z , z ^ { - 1 } ) ( \Psi _ { 1 } ( z ) , \Psi _ { 2 } ( z ) ),$ ; confidence 0.149

72. a130240314.png ; $\hat { \beta } = ( \mathbf{X} ^ { \prime } \mathbf{X} ) ^ { - 1 } \mathbf{X} ^ { \prime } \mathbf{y}$ ; confidence 0.148

73. q12001090.png ; $\mathcal{K} _ { 0 }$ ; confidence 0.148

74. s09067089.png ; $S ( \theta ) _ { 1 , \cdots , j _ { q } } ^ { i _ { 1 } \ldots i _ { p } }$ ; confidence 0.148

75. c12008080.png ; $E _ { k }$ ; confidence 0.148

76. r08232011.png ; $E _ { 2 } ( | x - y | ) = \operatorname { ln } \frac { 1 } { | x - y | } , \quad E _ { n } ( | x - y | ) = \frac { 1 } { | x - y | ^ { n - 2 } },$ ; confidence 0.148

77. e12015021.png ; $\frac { \mathcal{D} \dot { x } ^ { i } } { d t } = \varepsilon ^ { i } = \frac { 1 } { 2 } g ^ { i } ; r \dot { x } \square ^ { r } - g ^ { i }.$ ; confidence 0.148

78. s12017064.png ; $x \sim_{ i} y \Leftrightarrow x = y$ ; confidence 0.148

79. a13018061.png ; $\mathsf{Alg} _ {\vdash } ( L _ { n } )$ ; confidence 0.148

80. m12017011.png ; $\operatorname { det } \left( \begin{array} { c c c } { I } & { \ldots } & { I } \\ { X _ { 1 } } & { \ldots } & { X _ { n } } \\ { \vdots } & { \ldots } & { \vdots } \\ { X _ { 1 } ^ { n - 1 } } & { \ldots } & { X _ { n } ^ { n - 1 } } \end{array} \right)$ ; confidence 0.148

81. b1204202.png ; $\otimes \rightarrow \otimes ^ { \text{op} }$ ; confidence 0.147

82. o13006052.png ; $\tilde { \gamma } = \tilde { \gamma } ^ { \prime \prime }$ ; confidence 0.147

83. d12015042.png ; $\mathbf{Z} [ \zeta _ { e } ]$ ; confidence 0.147

84. l12012027.png ; $a \in \hat { K } _ { \text{p} }$ ; confidence 0.147

85. c1202105.png ; $P _ { n } ^ { \prime } ( A _ { n } ) \rightarrow 0$ ; confidence 0.146

86. h12007020.png ; $a \circ_{k} b$ ; confidence 0.146

87. f13029014.png ; $T _ { \text { prod } } ( a , b ) = a . b$ ; confidence 0.146

88. c120180170.png ; $\otimes ^ { r + 2 } \mathcal{E}$ ; confidence 0.146

89. r1300109.png ; $\mu : = \operatorname { max } \operatorname { deg } _ { x _ { 0 } } a _ { i }$ ; confidence 0.145

90. l120120151.png ; $M = ( K _ { s } ( \overline { \sigma } ) \cap K _ { \text{tot} S} ) _ { \text{ins} }$ ; confidence 0.145

91. e03693078.png ; $\operatorname {exp}$ ; confidence 0.145

92. t120140164.png ; $\Lambda = \left( \begin{array} { c c c c } { z ^ { k _ { 1 } } } & { 0 } & { \ldots } & { 0 } \\ { 0 } & { z ^ { k_{2} } } & { \ldots } & { 0 } \\ { \vdots } & { \vdots } & { \ddots } & { \vdots } \\ { 0 } & { 0 } & { \ldots } & { z ^ { k _ { n } } } \end{array} \right) , k _ { 1 } , \ldots , k _ { n } \in \mathbf{Z},$ ; confidence 0.145

93. l12012062.png ; $O _ { \text{p} } = \{ x \in L : | x | _ { \text{p} } \leq 1 \}$ ; confidence 0.145

94. m130230142.png ; $K _ { X _ { n } } + B _ { n }$ ; confidence 0.145

95. a120260124.png ; $A = \mathbf{C} \{ Z _ { 1 } , \dots , Z _ { r } \}$ ; confidence 0.145

96. a01405027.png ; $h_{1}$ ; confidence 0.145

97. s09067094.png ; $S _ { j _ { 1 } \square \dots j_q } ^ { i _ { 1 } \cdots j _ { p } }$ ; confidence 0.145

98. d12019012.png ; $\tilde { E }$ ; confidence 0.144

99. a110010118.png ; $A \in \mathbf{R} ^ { m \times n }$ ; confidence 0.144

100. a130040412.png ; $\operatorname{Mod} ^ { * \text{ L}} \mathcal{D} = \mathbf{SP} \operatorname{Mod} ^ { * \text{ L}} \mathcal{D}$ ; confidence 0.144

101. g12005032.png ; $\mu _ { 0 } ( k _ { c } , R _ { c } ) = i \mu _ { c }$ ; confidence 0.144

102. h1301308.png ; $\mathbf{k} . \mathbf{x} = k _ { 1 } x _ { 1 } + \ldots + k _ { n } x _ { n }$ ; confidence 0.144

103. a01020084.png ; $U$ ; confidence 0.144

104. b13004012.png ; $I _ { 2 } \subset I _ { 1 }$ ; confidence 0.144

105. u13002044.png ; $\int _ { - \infty } ^ { \infty } \int _ { - \infty } ^ { \infty } | f ( x ) | \left| \hat { f } ( y ) \right| e ^ { 2 \pi | xy | } < \infty,$ ; confidence 0.144

106. s13048018.png ; $C _ { k } = \Lambda ^ { k } T ^ { * } M \otimes R _ { m } / \delta ( \Lambda ^ { k - 1 } T ^ { * } M \otimes g _ { m + 1 } )$ ; confidence 0.144

107. l12004038.png ; $u _ { i } ^ { n + 1 } = b _ { - 1 } u _ { i - 1 } ^ { n } + b _ { 0 } u _ { i } ^ { n } + b _ { 1 } u _ { i + 1 } ^ { n },$ ; confidence 0.144

108. m1200906.png ; $J = ( j _ { 1 } , \ldots , j _ { n } ) \in \mathbf{N} ^ { n }$ ; confidence 0.144

109. n12010048.png ; $\sum _ { i = 0 } ^ { k } \alpha _ { i } y _ { m + i } = h \sum _ { i = 0 } ^ { k } \beta _ { i } f ( x _ { m + i} , y _ { m + i } ).$ ; confidence 0.143

110. b13026025.png ; $f : \overline { \Omega } \subset \mathbf{R} ^ { n } \rightarrow \mathbf{R} ^ { n }$ ; confidence 0.143

111. l11002058.png ; $e \preceq c _ { i } \preceq b _ { i }$ ; confidence 0.143

112. w12005039.png ; $\mathcal{D} _ { n } ^ { r } = \mathbf{R} [ x _ { 1 } , \ldots , x _ { n } ] / \langle x _ { 1 } , \ldots , x _ { n } \rangle ^ { r + 1 }$ ; confidence 0.143

113. s12004056.png ; $s _{( l )} = h _ { l } \text { and } s _ { ( 1 ^ { l }) } = e_{ l},$ ; confidence 0.143

114. t12001028.png ; $\{ I ^ { 1 } , I ^ { 2 } , I ^ { 3 } \}$ ; confidence 0.143

115. s13053075.png ; $1 ^{ G } _ { P }$ ; confidence 0.143

116. x12003019.png ; $F _ { x } ( q ) = \frac { 1 } { 2 \pi } \int _ { S ^ { 1 } } X f ( \theta , x . \theta + q ) d \theta$ ; confidence 0.143

117. b130290204.png ; $[ H _ { \mathfrak{M} } ^ { i } ( R ) ] _ { n } = ( 0 )$ ; confidence 0.143

118. h12005013.png ; $u_{:m}$ ; confidence 0.143

119. f120230124.png ; $= \frac { 1 } { k ! \text{l} ! } \sum _ { \sigma } \operatorname { sign } \sigma \times \times \mathcal{L} ( K(X _ { \sigma 1 } , \ldots , X _ { \sigma k } ) ) ( \omega ( X _ { \sigma ( k + 1 ) } , \ldots , X _ { \sigma ( k + 1 ) } ) ) +$ ; confidence 0.142

120. b12027045.png ; $\operatorname { lim } _ { n } u _ { n } = \frac { 1 } { \mathsf{E} X _ { 1 } }.$ ; confidence 0.142

121. l11002088.png ; $ro$ ; confidence 0.142

122. d12011033.png ; $\operatorname { lim } _ { i \rightarrow \infty } \sum _ { j = 1 } ^ { \infty } x _ { n_i n_j } = 0.$ ; confidence 0.142

123. c13010029.png ; $(C) \int a . f d m = a . ( C ) \int f d m$ ; confidence 0.142

124. a130040113.png ; $T , \varphi \vdash_{\mathcal{D}} \psi$ ; confidence 0.142

125. q12008062.png ; $\sum _ { p \in \text{E,G} } \rho _ { p } \mathsf{E} [ W _ { p } ] + \sum _ { p \in \text{L} } \rho _ { p } \left( 1 - \frac { \lambda _ { p } R } { 1 - \rho } \right) \mathsf{E} [ W _ { p } ] =$ ; confidence 0.142

126. f1301706.png ; $\| u \| A _ { 2 ^{ ( G )}} = \operatorname { inf } \{ N _ { 2 } ( k ) N _ { 2 } ( l ) : k , l \in \mathcal{L} _ { \text{C} } ^ { 2 } ( G ) , u = \overline { k } * \check{t} \}.$ ; confidence 0.142

127. h120020119.png ; $\{ \rho _ { n } ( \phi ) \} _ { n \geq 0} \in \text{I} ^ { p }$ ; confidence 0.142

128. c13009020.png ; $a _ { n } = \frac { 2 } { N } \frac { 1 } { \overline { c } _ { n } } \sum _ { j = 0 } ^ { N } u ( x _ { j } ) \frac { T _ { n } ( x _ { j } ) } { \overline { c } _ { j } }.$ ; confidence 0.142

129. h04691037.png ; $\{ f _ { n } \} _ { n }$ ; confidence 0.142

130. e12015031.png ; $\frac { d ^ { 2 } \xi ^ { i } } { d t ^ { 2 } } + g _ { , r } ^ { i } \frac { d \xi ^ { r } } { d t } + g _ {, r } ^ { i } \xi ^ { r } = 0,$ ; confidence 0.142

131. n12011033.png ; $y \in K _ { j } ^ { c }$ ; confidence 0.141

132. a013010127.png ; $M > 0$ ; confidence 0.141

133. a130240331.png ; $p _ { 1 }$ ; confidence 0.141

134. b11022064.png ; $H _ { \mathcal{M} } ^ { \bullet } ( M _ { \mathbf{Z} } , \mathbf{Q} ( * ) )$ ; confidence 0.141

135. z1200107.png ; $[ e _ { i } , e _ { j } ] = \left( \left( \begin{array} { c } { i + j + 1 } \\ { j } \end{array} \right) - \left( \begin{array} { c } { i + j + 1 } \\ { i } \end{array} \right) \right) e _ { i + j }.$ ; confidence 0.141

136. c12007094.png ; $\mathcal{C} ^ { * } \otimes_{ k} \mathcal{C}$ ; confidence 0.141

137. f13002018.png ; $\delta_{\text{BRST}}$ ; confidence 0.141

138. o12005050.png ; $\psi ( v ) = \operatorname { sup } _ { u > 0 } \{ u v - \varphi ( u ) \}$ ; confidence 0.141

139. b13029058.png ; $( a _ { 1 } , \dots , a _ { i - 1 } ) : a _ { i } = ( a _ { 1 } , \dots , a _ { i - 1 } ) : \mathfrak{m}$ ; confidence 0.141

140. q12005099.png ; $\langle . , . \rangle _ { D ^{ 2} f ( x ^ { * } )}$ ; confidence 0.140

141. a13018018.png ; $\mathcal{L} ( \tau ) = \langle \operatorname { Fm} _ { \tau } , \operatorname { Mod} _ { \tau } , \models _ { \tau } , \operatorname { mng} _ { \tau } , \vdash _ { \tau } \rangle$ ; confidence 0.140

142. a13027076.png ; $x \in X _ { n }$ ; confidence 0.140

143. b13012036.png ; $( f ^ { * } d \mu ) _ { N } ( x ) = \sum _ { k } \lambda \left( \frac { k } { N } \right) \hat { f } ( k ) e ^ { i k x },$ ; confidence 0.140

144. c12004063.png ; $\left. - \frac { 1 } { \langle \rho ^ { \prime } , \zeta \rangle ^ { n } } \sum _ { | \alpha | = 0 } ^ { m } \frac { ( | \alpha | + n - 1 ) ! } { \alpha _ { 1 } ! \ldots \alpha _ { n } ! } \left( \frac { \rho ^ { \prime } ( \zeta ) } { \langle \rho ^ { \prime } , \zeta \rangle } \right) ^ { \alpha } z ^ { \alpha } \sigma \right],$ ; confidence 0.140

145. c12026062.png ; $\| \mathbf{U} ^ { n } \| _ { \infty } \leq C \| \mathbf{U} ^ { 0 } \| _ { \infty } , 1 \leq n,$ ; confidence 0.140

146. l11001022.png ; $ca<cb$ ; confidence 0.140

147. a13013034.png ; $\phi _ { - } ^ { - 1 } \frac { \partial } { \partial t _ { n } } - Q _ { 0 } z ^ { n } \phi _ { - } = \frac { \partial } { \partial t _ { n } } - Q ^ { ( n ) }.$ ; confidence 0.140

148. a01084019.png ; $e _ { 1 } , \ldots , e _ { n }$ ; confidence 0.140

149. a120070107.png ; $\{ B _ { j } ( t , x , D _ { x } ) \} _ { j = 1 } ^ { m }$ ; confidence 0.140

150. o12002010.png ; $\times \int _ { - \infty } ^ { \infty } \tau \left| \Gamma \left( c - a + \frac { i \tau } { 2 } \right) \right| ^ { 2 } \times \times \square _ { 2 } F _ { 1 } \left( a + \frac { i \tau } { 2 } , a - \frac { i \tau } { 2 } ; c ; - \frac { 1 } { x } \right) f ( \tau ) d \tau.$ ; confidence 0.140

151. i05303010.png ; $+ \sigma ^ { 2 } ( t ) f _ { x x } ^ { \prime \prime } ( t , X _ { t } ) / 2 ] d t + \sigma ( t ) f _ { x } ^ { \prime } ( t , X _ { t } ) d W _ { t }.$ ; confidence 0.139

152. a12026041.png ; $f (\tilde{y}) \cong 0$ ; confidence 0.139

153. b110220243.png ; $\phi _ { i } : \operatorname { CH} ^ { i } ( X ) ^ { 0 } \rightarrow \operatorname { Ext } _ { \mathcal{H} } ^ { 1 } ( \mathbf{Z} ( 0 ) , h ^ { 2 i - 1 } ( X ) ( i ) )$ ; confidence 0.139

154. f120110230.png ; $\overline { R } ^ { n }_{ +}$ ; confidence 0.139

155. i13008025.png ; $L _ { 1 } ^ { \prime \prime }$ ; confidence 0.139

156. a13018055.png ; $Alg _ { + } ( L ) = Alg _ { \operatorname { mod } e l s } ( L )$ ; confidence 0.139

157. l13006049.png ; $+ \frac { \{ U _ { i } = ( u _ { t } + 1 , \ldots , u _ { t } + k ) : s _ { j } < u + j \leq t _ { j } , 1 \leq j \leq k \} } { \# \{ U _ { i } = ( u _ { t } + 1 , \ldots , u + k ) \} }$ ; confidence 0.139

158. s13053016.png ; $e = \frac { | U | } { | G | } ( \sum _ { b \in B } b ) ( \sum _ { w \in W } \operatorname { sign } ( w ) w )$ ; confidence 0.138

159. c13025052.png ; $\hat { A } ( t | \beta ) = \int _ { 0 , t } \frac { 1 } { \sum _ { k = 1 } ^ { n } l _ { k } ( s - ) e ^ { Z _ { k } ^ { T } ( s - ) \beta } } d \overline { N } ( s )$ ; confidence 0.138

160. b110220206.png ; $L ^ { * } ( h ^ { i } ( X ) , s ) _ { s = m } \equiv \operatorname { det } ( \Pi ) \cdot \operatorname { det } \langle . . \rangle$ ; confidence 0.138

161. e12010052.png ; $c ^ { EM }$ ; confidence 0.137

162. m120100140.png ; $\operatorname { Aut } ( \hat { G } , \tau )$ ; confidence 0.137

163. r1300902.png ; $f ( x _ { 1 } , \dots , x _ { n } ) = g ( a _ { 1 } x _ { 1 } + \ldots + a _ { n } x _ { n } ) = g ( a x )$ ; confidence 0.137

164. a13013038.png ; $\frac { \partial } { \partial t _ { n } } Q = [ Q ^ { ( n ) } , Q ] , n \geq 1$ ; confidence 0.137

165. t130050133.png ; $\sigma _ { H } : = \sigma _ { I } \cup \sigma _ { r }$ ; confidence 0.137

166. l05702043.png ; $\overline { k } _ { S }$ ; confidence 0.137

167. c1302107.png ; $a _ { N } | a _ { x } + 1 = a _ { x }$ ; confidence 0.137

168. f1201407.png ; $72 +$ ; confidence 0.137

169. v13011085.png ; $Cd$ ; confidence 0.137

170. a13008049.png ; $\operatorname { ln } 1 d s$ ; confidence 0.137

171. w130080183.png ; $( \kappa \partial _ { \vec { \alpha } } + M _ { \dot { \alpha } } ) \psi = 0$ ; confidence 0.136

172. r13007059.png ; $| u ( y ) | \leq \sum _ { j = 1 } ^ { \infty } | u _ { j } , \varphi _ { j } ( y ) | \leq c \Lambda \| _ { V } \| = c \Lambda \| u \| _ { + }$ ; confidence 0.136

173. s12020073.png ; $\sigma e _ { t } = e _ { \sigma } t$ ; confidence 0.136

174. a130040613.png ; $h : F m _ { P } \rightarrow M e _ { S _ { P } } \mathfrak { M }$ ; confidence 0.136

175. a13001017.png ; $3 + 5$ ; confidence 0.136

176. l12009013.png ; $Q _ { A }$ ; confidence 0.136

177. f13009036.png ; $\left. \begin{array}{l}{ U _ { 0 } ^ { ( k ) } ( x ) = 0 }\\{ U _ { 1 } ^ { ( k ) } ( x ) = 1 }\\{ U _ { n } ^ { ( k ) } ( x ) = \sum _ { j = 1 } ^ { n } x ^ { k - j } U _ { n - j } ^ { ( k ) } ( x ) , \quad n = 2 , \ldots , k }\\{ U _ { n } ^ { ( k ) } ( x ) = \sum _ { j = 1 } ^ { k } x ^ { k - j } U _ { n - j } ^ { ( k ) } ( x ) }\\{ n = k + 1 , k + 2 , \ldots }\end{array} \right.$ ; confidence 0.136

178. e120230157.png ; $L _ { Z ^ { k } } ( L , \Delta ) = Z ^ { k } _ { \perp } d L \Delta + d ( Z ^ { k } , L , \Delta )$ ; confidence 0.136

179. f130290161.png ; $( X , T ) \in | L \cap F T O$ ; confidence 0.136

180. a130040595.png ; $\mathfrak { D } \mathfrak { N } \in$ ; confidence 0.136

181. s13011029.png ; $w \in S _ { \infty } = \cup S _ { X }$ ; confidence 0.136

182. c120180479.png ; $s ^ { 2 } \mathfrak { g } \in S ^ { 2 } \not$ ; confidence 0.135

183. b12003035.png ; $e ^ { 2 \pi i m n a k b } e ^ { 2 \pi i m b x } g ( \gamma - m b )$ ; confidence 0.135

184. a012200105.png ; $C ^ { \prime \prime }$ ; confidence 0.135

185. e12012030.png ; $L ( \theta | Y _ { 0 b s } ) = \int _ { M ( Y _ { \text { aug } } ) = Y _ { \text { obs } } } L ( \theta | Y _ { \text { aug } } ) d Y _ { \text { aug } }$ ; confidence 0.135

186. d12002088.png ; $14$ ; confidence 0.135

187. w120030129.png ; $\Sigma ( \Gamma ) : = \{ f \in [ 0,1 ] ^ { \Gamma } : \begin{array} { c c } { f ( \gamma ) \neq 0 } \\ { \text { for at most countabl } } \end{array}$ ; confidence 0.135

188. g130060121.png ; $\sigma ( B ) \subseteq \cup _ { i , j = 1 \atop i \neq j } ^ { n } K _ { i , j } ( A ) \subseteq \cup _ { i = 1 } ^ { n } G _ { i } ( A )$ ; confidence 0.135

189. y12001087.png ; $\rho ( v ) = v ^ { \{ 1 \} } \otimes _ { V } v ^ { ( 2 ) } \in V \otimes _ { k } A$ ; confidence 0.135

190. k13002081.png ; $- P [ ( X - \hat { X } ) ( Y - \hat { Y } ) < 0 ] =$ ; confidence 0.134

191. j1200101.png ; $F = ( F _ { 1 } , \dots , F _ { N } ) : C ^ { * } \rightarrow C ^ { * }$ ; confidence 0.134

192. b1301205.png ; $A ^ { * } = \{ f : \| f \| _ { A } ^ { * } = \sum _ { k = 0 } ^ { \infty } \operatorname { sup } _ { k \leq p | < \infty } | \hat { f } ( m ) | < \infty \}$ ; confidence 0.134

193. y120010111.png ; $A I$ ; confidence 0.134

194. a130240289.png ; $\hat { \psi } \pm S \cdot \hat { \sigma } \hat { \psi }$ ; confidence 0.134

195. w13012027.png ; $T _ { W \alpha } = T$ ; confidence 0.134

196. f13010025.png ; $\{ \sum _ { n = 1 } ^ { \infty } N _ { p } ( k _ { n } ) N _ { p } , ( l _ { n } ) : \quad \text { with } u = \sum _ { n = 1 } ^ { \infty } \overline { k _ { n } } * r _ { n }$ ; confidence 0.134

197. j12001040.png ; $1 \subset C ^ { 2 }$ ; confidence 0.134

198. d120020121.png ; $\vec { \mathfrak { c } } _ { t } ^ { 2 } < 0$ ; confidence 0.134

199. w130080123.png ; $\hat { \alpha } _ { i } = \alpha _ { i } ( u _ { k } , T _ { 1 } , T _ { n > 1 } = 0 ) = T _ { 1 } a _ { i } ( u _ { k } , \Lambda = 1 ) = a _ { i } ( \hat { u } _ { k } , \Lambda = T _ { 1 } )$ ; confidence 0.134

200. f12010094.png ; $f ( Z ) = \sum _ { 0 < T = \square ^ { t } T } c ( T ) e ^ { 2 \pi i \operatorname { Tr } ( T T ) }$ ; confidence 0.134

201. s13011048.png ; $w \in S _ { n }$ ; confidence 0.134

202. b12036036.png ; $w ( a , b , c , d ) = w ( \square _ { \alpha } ^ { d } \square \square _ { b } ^ { c } ) = \operatorname { exp } ( - \frac { \epsilon ( a , b , c , d ) } { k _ { B } T } )$ ; confidence 0.134

203. b13022096.png ; $\| u - q _ { l } \| _ { p , \Omega } \leq C \rho ^ { 2 } | u | _ { p , 2 , \Omega }$ ; confidence 0.133

204. n1201207.png ; $t , - , x _ { 2 }$ ; confidence 0.133

205. c1200706.png ; $C ^ { 0 } ( C , M ) = \prod _ { C \in Q C } M ( C )$ ; confidence 0.133

206. c12008073.png ; $\left[ \begin{array} { c c } { E _ { 1 } } & { E _ { 2 } } \\ { E _ { 3 } } & { E _ { 4 } } \end{array} \right] \left[ \begin{array} { c } { x _ { i } ^ { k } + 1 , j } \\ { x _ { i , j + 1 } ^ { v } } \end{array} \right] = \left[ \begin{array} { c c } { A _ { 1 } } & { A _ { 2 } } \\ { A _ { 3 } } & { A _ { 4 } } \end{array} \right] \left[ \begin{array} { c } { x _ { i j } ^ { k } } \\ { x _ { i j } ^ { y } } \end{array} \right] + \left[ \begin{array} { c } { B _ { 1 } } \\ { B _ { 2 } } \end{array} \right] u _ { j }$ ; confidence 0.133

207. w12011046.png ; $\Xi M = \kappa x + \hat { \xi } \cdot D x$ ; confidence 0.133

208. b12051091.png ; $\alpha = s _ { x } ^ { T } - 1 d / y _ { x } ^ { T } - 1$ ; confidence 0.133

209. q12007097.png ; $f ) = \sum R ( h \otimes f _ { ( 1 ) } ) R ( g \otimes f ( 2 ) ) , R ( h \otimes g f ) = \sum R$ ; confidence 0.133

210. l120170115.png ; $K ^ { 2 } \stackrel { 3 } { N } L ^ { 2 }$ ; confidence 0.132

211. w120090101.png ; $e \lambda$ ; confidence 0.132

212. l0591203.png ; $GL _ { n } ( K )$ ; confidence 0.132

213. l12010062.png ; $L _ { \gamma , n } > L _ { \gamma , \kappa } ^ { E }$ ; confidence 0.132

214. w1202005.png ; $( \alpha _ { 1 } , \dots , \alpha _ { N } ) \in C ^ { \gamma }$ ; confidence 0.132

215. b12027078.png ; $\sum _ { i } \overline { m } _ { n } ( h ) h$ ; confidence 0.132

216. a011490129.png ; $X _ { 1 } , \ldots , X _ { m }$ ; confidence 0.132

217. b110220166.png ; $= \operatorname { dim } H _ { D } ^ { i + 1 } ( X _ { / R } , R ( i + 1 - m ) )$ ; confidence 0.131

218. a0109306.png ; $v$ ; confidence 0.131

219. a12017026.png ; $p ^ { * } ( \alpha , t ) = \omega e ^ { \lambda ^ { * } ( t - \alpha ) } \Pi ( \alpha ) = e ^ { \lambda ^ { * } t _ { w } ^ { * } ( \alpha ) }$ ; confidence 0.131

220. w12005014.png ; $A = A _ { 1 } \oplus \ldots \oplus A _ { i k }$ ; confidence 0.131

221. c120080103.png ; $E x _ { i + 1 , j + 1 } = A _ { 0 x _ { j } } + A _ { 1 } x _ { i + 1 , j } + A _ { 2 } x _ { i , j + 1 } + B u _ { i j }$ ; confidence 0.131

222. d12016019.png ; $h _ { \gamma } = M _ { s } f _ { 2 }$ ; confidence 0.131

223. a12031018.png ; $22 ^ { x }$ ; confidence 0.131

224. l13010063.png ; $a _ { e } ( x , \alpha , p ) : = \frac { a ( x , \alpha , p ) + a ( x _ { s } - \alpha , - p ) } { 2 }$ ; confidence 0.131

225. w120110155.png ; $= 2 ^ { 2 n k } \int _ { \Phi ^ { 2 k } } ^ { \alpha _ { 1 } ( Y _ { 1 } ) \ldots \alpha _ { 2 k } ( Y _ { 2 k } ) \cdot \alpha _ { 2 k + 1 } } ( X + \sum _ { 1 \leq j < l \leq 2 k } ( - 1 ) ^ { j + l } ( Y _ { j } - Y _ { l } ) )$ ; confidence 0.131

226. b13002033.png ; $J J W$ ; confidence 0.131

227. b120040199.png ; $I _ { Y }$ ; confidence 0.131

228. s13049056.png ; $\{ \vec { p } : p \in N _ { l } \}$ ; confidence 0.131

229. w130080195.png ; $\kappa \partial _ { S } H _ { \gamma } - \kappa \partial _ { \gamma } H _ { S } + \{ H _ { S } , H _ { \gamma } \} _ { 0 } = 0$ ; confidence 0.131

230. f1201606.png ; $ker T$ ; confidence 0.131

231. c12018060.png ; $+ F ( d x \bigotimes d y + d y \otimes d x ) + G d y Q d y$ ; confidence 0.130

232. b11025036.png ; $g _ { y }$ ; confidence 0.130

233. c120080111.png ; $= \sum _ { l = 0 } ^ { r _ { 1 } } \sum _ { l = 0 } ^ { r _ { 2 } } \alpha _ { l j } z _ { 12 } ^ { i j }$ ; confidence 0.130

234. b1200302.png ; $\{ e ^ { 2 \pi i m b x } g ( x - n a ) : n , m \in Z \} = \{ g _ { x } , m : n , m \in Z \}$ ; confidence 0.130

235. a11032032.png ; $u _ { M } + 1 = R _ { 0 } ^ { ( s + 1 ) } ( h \lambda ) u _ { m }$ ; confidence 0.130

236. q12007096.png ; $\sum g ( 1 ) h _ { ( 1 ) } R ( h _ { ( 2 ) } \otimes g _ { ( 2 ) } ) = \sum R ( h _ { ( 1 ) } \otimes g _ { ( 1 ) } ) h _ { ( 2 ) } g ( 2 )$ ; confidence 0.130

237. a13007031.png ; $2.0$ ; confidence 0.129

238. c13021017.png ; $78$ ; confidence 0.129

239. b13027039.png ; $A \hookrightarrow Q ( H )$ ; confidence 0.129

240. l12008037.png ; $[ - 1,1 )$ ; confidence 0.129

241. h13007049.png ; $X _ { N } ^ { k }$ ; confidence 0.129

242. k1201008.png ; $\sum _ { m = 0 } ^ { \infty } \frac { 1 } { ( 2 \pi i ) ^ { m / 3 } } \int _ { T } \sum _ { P = \{ ( z _ { j } , z _ { j } ^ { \prime } ) \} } ( - 1 ) ^ { \perp } D _ { P } \bigwedge _ { j = 1 } ^ { m } \frac { d z _ { j } - d z _ { j } ^ { \prime } } { z _ { j } - z _ { j } ^ { \prime } }$ ; confidence 0.129

243. c120180406.png ; $\tilde { \nabla } ^ { \mathscr { Y } } W ( \mathfrak { g } )$ ; confidence 0.129

244. d1200201.png ; $( P ) v ^ { * } = \left\{ \begin{array} { c c } { \operatorname { min } } & { c ^ { T } x } \\ { \text { s.t. } } & { A _ { 1 } x \leq b _ { 1 } } \\ { } & { A _ { 2 } x \leq b _ { 2 } } \\ { x \geq 0 } \end{array} \right.$ ; confidence 0.129

245. a12016029.png ; $a =$ ; confidence 0.129

246. d12028067.png ; $w _ { j } = \frac { \Phi ^ { \prime z _ { j } } } { \langle \operatorname { grad } _ { z } \Phi , z \} } , j = 1 , \ldots , n$ ; confidence 0.129

247. b01703032.png ; $90$ ; confidence 0.129

248. i120050110.png ; $\epsilon _ { \mathscr { Y } } \rightarrow 0$ ; confidence 0.129

249. a11001065.png ; $0$ ; confidence 0.129

250. t13021035.png ; $L _ { m , n } = ( \phi _ { m } , L _ { \phi , n } )$ ; confidence 0.128

251. w13010019.png ; $\operatorname { Var } | W ^ { \alpha } ( t ) | \asymp \left\{ \begin{array} { l l } { t , } & { d = 1 } \\ { \frac { t ^ { 2 } } { \operatorname { log } ^ { 4 } t } , } & { d = 2 } \\ { \operatorname { tlog } t , } & { d = 3 } \\ { t , } & { d \geq 4 } \end{array} \right.$ ; confidence 0.128

252. b13030081.png ; $A = \{ a _ { 1 } ^ { \pm 1 } , \ldots , a _ { \infty } ^ { \pm 1 } \}$ ; confidence 0.128

253. a12023089.png ; $| y | \rightarrow \infty ^ { k _ { q } | d _ { q } ( \Omega ) } \sqrt { | q | } \leq 1$ ; confidence 0.127

254. d13005023.png ; $2 ^ { x ^ { \prime } ( x ) - 1 } ) + m - 1$ ; confidence 0.127

255. a13027048.png ; $\{ x _ { x } , : x _ { x } , \in X _ { x } , \}$ ; confidence 0.127

256. e12007084.png ; $p _ { M } = p | _ { - k } ^ { V } M - p , M \in \Gamma$ ; confidence 0.127

257. t12001026.png ; $\xi ^ { \mathscr { L } } = I ^ { \mathscr { L } } ( \partial _ { r } )$ ; confidence 0.127

258. t1202004.png ; $M _ { 0 } ( \dot { k } ) = \sum _ { j = 1 } ^ { x } | b _ { j } \| z _ { j } | ^ { k }$ ; confidence 0.127

259. b11022048.png ; $23 ^ { n + 5 }$ ; confidence 0.127

260. n06663093.png ; $f \in H _ { p } ^ { r _ { 1 } , \ldots , r _ { n } } ( M _ { 1 } , \ldots , M _ { n } ; R ^ { n } )$ ; confidence 0.127

261. w13009041.png ; $8 ^ { - n }$ ; confidence 0.127

262. d12003024.png ; $0 \lfloor J b _ { 1 }$ ; confidence 0.127

263. i120080100.png ; $S + 1 \rightarrow \langle m \rangle$ ; confidence 0.127

264. s1202709.png ; $x _ { y , y }$ ; confidence 0.126

265. l06005017.png ; $\square ^ { 1 } R _ { g } + 1$ ; confidence 0.126

266. b12040068.png ; $i h _ { R }$ ; confidence 0.126

267. a01130086.png ; $I _ { v }$ ; confidence 0.126

268. g13004028.png ; $\gamma _ { t } ^ { 1 }$ ; confidence 0.126

269. w13009044.png ; $H \otimes x$ ; confidence 0.126

270. b12003032.png ; $12.52$ ; confidence 0.126

271. m065140140.png ; $\theta _ { i }$ ; confidence 0.126

272. d13018087.png ; $J ^ { O } \underline { E }$ ; confidence 0.126

273. q12007075.png ; $\phi h = \sum h ( 2 ) \phi ( 2 ) \langle S h _ { ( 1 ) } , \phi _ { ( 1 ) } \rangle \langle h _ { ( 3 ) } , \phi _ { ( 3 ) } \rangle$ ; confidence 0.126

274. m12013065.png ; $\delta _ { ( 2 ) } < K _ { ( 2 ) } / K _ { ( 1 ) }$ ; confidence 0.126

275. e12012026.png ; $Y _ { \operatorname { allg } }$ ; confidence 0.125

276. f1201108.png ; $\| \varphi \| = \operatorname { sup } _ { | \operatorname { maz } } | \varphi ( z ) | e ^ { \delta | \operatorname { Re } z | }$ ; confidence 0.125

277. h13009026.png ; $\langle G \cup \{ t \} : ( \operatorname { ker } ( \tau _ { G } ) ) \cup \{ t ^ { - 1 } \alpha ^ { - 1 } t \mu ( \alpha ) : \forall \alpha \in A \} \}$ ; confidence 0.125

278. i13002031.png ; $P ( A _ { 1 } \cup \ldots \cup A _ { n } ) \geq S _ { 1 } - S _ { 2 } + \ldots + S _ { m - 1 } - S _ { m }$ ; confidence 0.125

279. n12011048.png ; $\exists x = ( x _ { 1 } , \dots , x _ { N } ) \in R ^ { x }$ ; confidence 0.125

280. f13028023.png ; $\mu _ { A x } ( z ) = \operatorname { sup } _ { z = A x } \mu _ { A } ( A )$ ; confidence 0.125

281. d13005021.png ; $A ( 2 , m )$ ; confidence 0.125

282. s09067040.png ; $\dot { y } _ { 0 } ^ { k } ( \phi ) \dot { y } ^ { k } ( u ) = j _ { x } ^ { k } ( \phi \circ u ) , \quad j _ { 0 } ^ { k } ( \phi ) \in GL ^ { k } ( n ) , \quad j _ { X } ^ { k } ( u ) \in M _ { k }$ ; confidence 0.124

283. b12042095.png ; $v e ^ { i }$ ; confidence 0.124

284. t12013031.png ; $\times e ^ { \sum ( y _ { i } - y _ { i } ^ { \prime } ) z ^ { - i } } z ^ { n - w - 1 } d z$ ; confidence 0.124

285. b110220194.png ; $CH ^ { p } ( X ) ^ { 0 } = \operatorname { Ker } ( CH ^ { p } ( X ) \rightarrow H ^ { 2 p } B ( X _ { C } , Q ( p ) ) )$ ; confidence 0.124

286. f1101507.png ; $\overline { a }$ ; confidence 0.124

287. b0150108.png ; $B _ { y }$ ; confidence 0.124

288. g130040116.png ; $v \wedge \wedge \ldots \wedge v _ { m }$ ; confidence 0.124

289. d12012042.png ; $\alpha = ( \alpha _ { 1 } , \dots , a _ { n } )$ ; confidence 0.124

290. s12024018.png ; $H * ( X , x _ { 0 } ; G ) \approx \prod _ { 1 } ^ { \infty } H * ( X _ { i } , x _ { i 0 } ; G )$ ; confidence 0.124

291. s13066011.png ; $\phi _ { N } ^ { * } ( z ) = z ^ { \sqrt { \gamma } } \overline { \phi _ { N } ( 1 / z ) }$ ; confidence 0.124

292. n06663067.png ; $\| \Delta _ { h } ^ { k } f ^ { ( s ) } \| _ { L _ { p } ( \Omega _ { k | k | } ) } \leq M | h | ^ { r - s }$ ; confidence 0.123

293. b12042025.png ; $r V : V \rightarrow V \otimes \underline { 1 }$ ; confidence 0.123

294. n06752022.png ; $A \in M _ { \operatorname { max } _ { n } } ( K )$ ; confidence 0.123

295. f11016081.png ; $( \mathfrak { B } \mathfrak { b } ) \sim _ { l } ( \mathfrak { A } \alpha )$ ; confidence 0.123

296. w13006031.png ; $\overline { V g , x }$ ; confidence 0.123

297. t130050104.png ; $\hat { Q }$ ; confidence 0.123

298. l120120142.png ; $\overline { \sigma } = ( \sigma _ { 1 } , \ldots , \sigma _ { e } ) \in G ( K ) ^ { e }$ ; confidence 0.123

299. d12023082.png ; $R ^ { - H }$ ; confidence 0.123

300. t120070126.png ; $L = \oplus _ { R \in Z } L _ { R }$ ; confidence 0.122

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/NoNroff/74. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/NoNroff/74&oldid=45516