Namespaces
Variants
Actions

Difference between revisions of "User:Maximilian Janisch/latexlist/latex/NoNroff/49"

From Encyclopedia of Mathematics
Jump to: navigation, search
(AUTOMATIC EDIT of page 49 out of 77 with 300 lines: Updated image/latex database (currently 22833 images latexified; order by Confidence, ascending: False.)
Line 1: Line 1:
 
== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i13005094.png ; $q \in L _ { 1,2 } : = \{ q : q = \overline { q } , \int _ { - \infty } ^ { \infty } ( 1 + x ^ { 2 } ) | q ( x ) | d x < \infty \}$ ; confidence 0.659
+
1. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i13005094.png ; $q \in L _ { 1,2 } : = \left\{ q : q = \overline { q } , \int _ { - \infty } ^ { \infty } ( 1 + x ^ { 2 } ) | q ( x ) | d x < \infty \right\}.$ ; confidence 0.659
  
2. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n06663075.png ; $\Omega ^ { k } ( f ^ { ( s ) } , \delta ) \leq M \delta ^ { r - s } , \quad \delta > 0$ ; confidence 0.659
+
2. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n06663075.png ; $\Omega ^ { k } ( f ^ { ( s ) } , \delta ) \leq M \delta ^ { r - s } , \quad \delta > 0,$ ; confidence 0.659
  
 
3. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130090/f13009017.png ; $j = 1 , \dots , n - 1$ ; confidence 0.659
 
3. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130090/f13009017.png ; $j = 1 , \dots , n - 1$ ; confidence 0.659
Line 8: Line 8:
 
4. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130020/q13002018.png ; $P | \phi \rangle / \| P | \phi \rangle \|$ ; confidence 0.659
 
4. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130020/q13002018.png ; $P | \phi \rangle / \| P | \phi \rangle \|$ ; confidence 0.659
  
5. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060050/l06005093.png ; $\square ^ { 1 } s _ { w }$ ; confidence 0.659
+
5. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060050/l06005093.png ; $\square ^ { 1 } S _ { m }$ ; confidence 0.659
  
6. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120280/s1202808.png ; $E = \{ E _ { n } , \sigma : \Sigma E _ { n } \rightarrow E _ { n } + 1 \}$ ; confidence 0.659
+
6. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120280/s1202808.png ; $\mathbf{E} = \{ E _ { n } , \sigma : \Sigma E _ { n } \rightarrow E _ { n + 1} \}$ ; confidence 0.659
  
7. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011038.png ; $S ^ { * }$ ; confidence 0.659
+
7. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011038.png ; $\mathcal{S} ^ { * }$ ; confidence 0.659
  
 
8. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020218.png ; $\kappa ( F , \overline { D } \square ^ { n + 1 } ) = k$ ; confidence 0.659
 
8. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020218.png ; $\kappa ( F , \overline { D } \square ^ { n + 1 } ) = k$ ; confidence 0.659
Line 22: Line 22:
 
11. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120080/i120080116.png ; $\gamma = 7 / 4$ ; confidence 0.659
 
11. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120080/i120080116.png ; $\gamma = 7 / 4$ ; confidence 0.659
  
12. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120290/b12029024.png ; $x \mapsto \varepsilon _ { X } ^ { C U } ( f )$ ; confidence 0.659
+
12. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120290/b12029024.png ; $x \mapsto \varepsilon _ { x } ^ { \mathcal{C}U } ( f )$ ; confidence 0.659
  
 
13. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064420/m06442032.png ; $Z \in H$ ; confidence 0.659
 
13. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064420/m06442032.png ; $Z \in H$ ; confidence 0.659
  
14. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m130260219.png ; $x _ { x } \leq y _ { x }$ ; confidence 0.659
+
14. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m130260219.png ; $x _ { n } \leq y _ { n }$ ; confidence 0.659
  
 
15. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120010/b1200107.png ; $\Sigma ^ { \prime }$ ; confidence 0.659
 
15. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120010/b1200107.png ; $\Sigma ^ { \prime }$ ; confidence 0.659
Line 34: Line 34:
 
17. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120010/i12001025.png ; $\Phi _ { 2 }$ ; confidence 0.659
 
17. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120010/i12001025.png ; $\Phi _ { 2 }$ ; confidence 0.659
  
18. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030590/d03059031.png ; $y _ { 1 } , \ldots , y _ { x }$ ; confidence 0.659
+
18. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030590/d03059031.png ; $y _ { 1 } , \ldots , y _ { n }$ ; confidence 0.659
  
19. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120260/a12026014.png ; $y$ ; confidence 0.658
+
19. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120260/a12026014.png ; $\hat{y}$ ; confidence 0.658
  
20. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130130/d13013016.png ; $B = \nabla \times A ^ { + }$ ; confidence 0.658
+
20. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130130/d13013016.png ; $\mathbf B = \nabla \times \mathbf A ^ { + }$ ; confidence 0.658
  
21. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110060/h11006021.png ; $D \subset R ^ { d }$ ; confidence 0.658
+
21. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110060/h11006021.png ; $D \subset \mathbf R ^ { d }$ ; confidence 0.658
  
22. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120130/m12013025.png ; $f ( N * ) = 0$ ; confidence 0.658
+
22. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120130/m12013025.png ; $f ( N_{ *} ) = 0$ ; confidence 0.658
  
 
23. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g13006072.png ; $a _ { i , j } \neq 0$ ; confidence 0.658
 
23. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g13006072.png ; $a _ { i , j } \neq 0$ ; confidence 0.658
  
24. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f13029087.png ; $( X , T )$ ; confidence 0.658
+
24. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f13029087.png ; $( X , \mathcal{T} )$ ; confidence 0.658
  
 
25. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130070/i13007031.png ; $\alpha \in S ^ { 2 }$ ; confidence 0.658
 
25. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130070/i13007031.png ; $\alpha \in S ^ { 2 }$ ; confidence 0.658
Line 52: Line 52:
 
26. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014088.png ; $Q = ( Q _ { 0 } , Q _ { 1 } )$ ; confidence 0.658
 
26. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014088.png ; $Q = ( Q _ { 0 } , Q _ { 1 } )$ ; confidence 0.658
  
27. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120040/c12004059.png ; $\sigma = \frac { ( n - 1 ) ! } { ( 2 \pi i ) ^ { n } } \sum _ { j = 1 } ^ { n } ( - 1 ) ^ { j - 1 } \rho ^ { \prime } d \rho ^ { \prime } [ j ] \wedge \alpha \zeta$ ; confidence 0.658
+
27. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120040/c12004059.png ; $\sigma = \frac { ( n - 1 ) ! } { ( 2 \pi i ) ^ { n } } \sum _ { j = 1 } ^ { n } ( - 1 ) ^ { j - 1 } \rho ^ { \prime } d \rho ^ { \prime } [ j ] \bigwedge d\zeta .$ ; confidence 0.658
  
28. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120110/n12011031.png ; $x \in K$ ; confidence 0.658
+
28. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120110/n12011031.png ; $x \in K_j $ ; confidence 0.658
  
 
29. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g120040144.png ; $G ^ { t }$ ; confidence 0.658
 
29. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g120040144.png ; $G ^ { t }$ ; confidence 0.658
  
30. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023079.png ; $E ( L ) = ( E ^ { 1 } ( L ) , \ldots , E ^ { m } ( L ) )$ ; confidence 0.658
+
30. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023079.png ; $\mathcal E ( L ) = ( \mathcal E ^ { 1 } ( L ) , \ldots , \mathcal E ^ { m } ( L ) )$ ; confidence 0.658
  
31. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t12020030.png ; $g ( k ) = \sum _ { j = 1 } ^ { n } b _ { j } z _ { j } ^ { k } \phi ( z _ { j } )$ ; confidence 0.658
+
31. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t12020030.png ; $g _ 2 ( k ) = \sum _ { j = 1 } ^ { n } b _ { j } z _ { j } ^ { k } \phi ( z _ { j } )$ ; confidence 0.658
  
 
32. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030250/d0302506.png ; $s = 0 , \dots , n - 1$ ; confidence 0.658
 
32. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030250/d0302506.png ; $s = 0 , \dots , n - 1$ ; confidence 0.658
  
33. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110100/h11010016.png ; $J _ { j }$ ; confidence 0.658
+
33. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110100/h11010016.png ; $J _ {i j }$ ; confidence 0.658
  
34. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120030/d12003064.png ; $f \in DB _ { 1 }$ ; confidence 0.658
+
34. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120030/d12003064.png ; $f \in \operatorname{DB} _ { 1 }$ ; confidence 0.658
  
35. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f13010064.png ; $\varphi \in C _ { 00 } ( G ; C )$ ; confidence 0.658
+
35. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f13010064.png ; $\varphi \in C _ { 00 } ( G ; \mathbf C )$ ; confidence 0.658
  
 
36. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110110/m11011019.png ; $\Gamma ( b _ { j } - s )$ ; confidence 0.658
 
36. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110110/m11011019.png ; $\Gamma ( b _ { j } - s )$ ; confidence 0.658
  
37. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006012.png ; $\sum _ { A \in 2 } \Xi m ( A ) = 1$ ; confidence 0.658
+
37. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006012.png ; $\sum _ { A \in 2 ^ \Xi } m ( A ) = 1$ ; confidence 0.658
  
38. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f120230103.png ; $\Omega ( M )$ ; confidence 0.657
+
38. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f120230103.png ; $\operatorname{Der} \Omega ( M )$ ; confidence 0.657
  
39. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120230/m12023032.png ; $\partial f ( x ) = \partial _ { c } ( f + ( 2 T ) ^ { - 1 } \| \| \cdot \| ^ { 2 } ) ( x ) - T ^ { - 1 } x , \quad x \in H$ ; confidence 0.657
+
39. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120230/m12023032.png ; $\partial f ( x ) = \partial _ { c } \left( f + ( 2 T ) ^ { - 1 } \| \cdot \| ^ { 2 } \right) ( x ) - T ^ { - 1 } x , \quad x \in H,$ ; confidence 0.657
  
 
40. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130040/e13004045.png ; $( \Omega _ { + } - 1 ) g _ { 0 } \psi ( t ) =$ ; confidence 0.657
 
40. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130040/e13004045.png ; $( \Omega _ { + } - 1 ) g _ { 0 } \psi ( t ) =$ ; confidence 0.657
  
41. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035000/e0350008.png ; $N _ { \epsilon } ( C , X ) = \operatorname { inf } \{ n : \exists x _ { 1 } , \ldots , x _ { n } , x _ { i } \in X : C \subset \cup _ { i = 1 } ^ { n } B ( x _ { i } , \epsilon ) \}$ ; confidence 0.657
+
41. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035000/e0350008.png ; $N _ { \epsilon } ( C , X ) = \operatorname { inf } \left\{ n : \exists x _ { 1 } , \ldots , x _ { n } , x _ { i } \in X : C \subset \bigcup _ { i = 1 } ^ { n } B ( x _ { i } , \epsilon ) \right\}$ ; confidence 0.657
  
42. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015013.png ; $\operatorname { Ker } ( Ad )$ ; confidence 0.657
+
42. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015013.png ; $\operatorname { Ker } ( \operatorname{Ad} )$ ; confidence 0.657
  
43. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130060/l13006015.png ; $\alpha \equiv 5 ( \operatorname { mod } 8 )$ ; confidence 0.657
+
43. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130060/l13006015.png ; $\a \equiv 5 ( \operatorname { mod } 8 )$ ; confidence 0.657
  
44. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120110/d12011010.png ; $\operatorname { lim } _ { n \rightarrow \infty } \operatorname { sup } f ( \sum _ { j \in I } \sum _ { j \in I } \sum _ { [ 1 , n ] } x _ { j } )$ ; confidence 0.657
+
44. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120110/d12011010.png ; $\operatorname { lim } _ { n \rightarrow \infty } \operatorname { sup } f \left( \sum _ { j \in I \bigcap [ 1 , n ] } x _ { j } \right) .$ ; confidence 0.657
  
45. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120040/k1200408.png ; $\Lambda _ { D _ { + } } ( a , x ) + \Lambda _ { D _ { - } } ( a , x ) = x ( \Lambda _ { D _ { 0 } } ( a , x ) + \Lambda _ { D _ { \infty } } ( a , x ) )$ ; confidence 0.657
+
45. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120040/k1200408.png ; $\Lambda _ { D _ { + } } ( a , x ) + \Lambda _ { D _ { - } } ( a , x ) = x ( \Lambda _ { D _ { 0 } } ( a , x ) + \Lambda _ { D _ { \infty } } ( a , x ) ).$ ; confidence 0.657
  
 
46. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120150/l12015013.png ; $x \in A \mapsto [ x , a ] \in A$ ; confidence 0.657
 
46. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120150/l12015013.png ; $x \in A \mapsto [ x , a ] \in A$ ; confidence 0.657
  
47. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022034.png ; $0 \leq S \leq T \in L ( X )$ ; confidence 0.657
+
47. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022034.png ; $0 \leq S \leq T \in \mathcal L ( X )$ ; confidence 0.657
  
 
48. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130120/b130120120.png ; $F \in \operatorname { Lip } 1$ ; confidence 0.657
 
48. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130120/b130120120.png ; $F \in \operatorname { Lip } 1$ ; confidence 0.657
Line 98: Line 98:
 
49. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120110/a12011013.png ; $\varphi ( 3,3,3 ) = 3 ^ { 3 ^ { 3 ^ { 3 } } }$ ; confidence 0.657
 
49. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120110/a12011013.png ; $\varphi ( 3,3,3 ) = 3 ^ { 3 ^ { 3 ^ { 3 } } }$ ; confidence 0.657
  
50. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130250/b13025047.png ; $C ^ { \prime } A B$ ; confidence 0.657
+
50. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130250/b13025047.png ; $C ^ { \prime _{ AB}}$ ; confidence 0.657
  
 
51. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013025.png ; $H ( \theta , X ) = X - \alpha$ ; confidence 0.657
 
51. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013025.png ; $H ( \theta , X ) = X - \alpha$ ; confidence 0.657
  
52. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005021.png ; $s \in [ 0 , T$ ; confidence 0.657
+
52. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005021.png ; $s \in [ 0 , T]$ ; confidence 0.657
  
53. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j120020193.png ; $Y _ { t } = h ( B _ { \operatorname { min } } ( t , \tau ) )$ ; confidence 0.657
+
53. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j120020193.png ; $Y _ { t } = h ( B _ { \operatorname { min } ( t , \tau )} )$ ; confidence 0.657
  
 
54. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110220/d11022046.png ; $0 = r _ { 0 } < r _ { 1 } < \ldots < r _ { m } = n - 1$ ; confidence 0.657
 
54. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110220/d11022046.png ; $0 = r _ { 0 } < r _ { 1 } < \ldots < r _ { m } = n - 1$ ; confidence 0.657
Line 114: Line 114:
 
57. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040320.png ; $\epsilon _ { i , 0 } ( x , y , z , w ) \approx \epsilon _ { i , 1 } ( x , y , z , w )$ ; confidence 0.656
 
57. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040320.png ; $\epsilon _ { i , 0 } ( x , y , z , w ) \approx \epsilon _ { i , 1 } ( x , y , z , w )$ ; confidence 0.656
  
58. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120180/a120180100.png ; $u _ { 0 } = x _ { x }$ ; confidence 0.656
+
58. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120180/a120180100.png ; $u _ { 0 } = x _ { n },$ ; confidence 0.656
  
59. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120190/e120190172.png ; $W$ ; confidence 0.656
+
59. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120190/e120190172.png ; $W^{-}$ ; confidence 0.656
  
60. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055060/k0550606.png ; $\omega = i \partial \overline { \partial } p = i \sum \frac { \partial ^ { 2 } p } { \partial z _ { \alpha } \partial z _ { \beta } } d z _ { \alpha } \wedge d z _ { \beta }$ ; confidence 0.656
+
60. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055060/k0550606.png ; $\omega = i \partial \overline { \partial } p = i \sum \frac { \partial ^ { 2 } p } { \partial z _ { \alpha } \partial \overline{z} _ { \beta } } d z _ { \alpha } \bigwedge d \overline{z} _ { \beta },$ ; confidence 0.656
  
 
61. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110740/b11074032.png ; $A _ { j }$ ; confidence 0.656
 
61. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110740/b11074032.png ; $A _ { j }$ ; confidence 0.656
  
62. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130090/t13009016.png ; $( \pi _ { X } , \rho _ { X } ) : T _ { X } \cap Y \rightarrow X \times 10 , \infty I$ ; confidence 0.656
+
62. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130090/t13009016.png ; $( \pi _ { X } , \rho _ { X } ) : T _ { X } \cap Y \rightarrow X \times ]0 , \infty [$ ; confidence 0.656
  
 
63. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z130110130.png ; $\mu _ { N _ { k } } ( x ) = \sum _ { i = 1 } ^ { k } \mu _ { i N _ { i } } ( x )$ ; confidence 0.656
 
63. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z130110130.png ; $\mu _ { N _ { k } } ( x ) = \sum _ { i = 1 } ^ { k } \mu _ { i N _ { i } } ( x )$ ; confidence 0.656
Line 128: Line 128:
 
64. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130050/d1300503.png ; $0 \leq r \leq m / 2 - 1$ ; confidence 0.656
 
64. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130050/d1300503.png ; $0 \leq r \leq m / 2 - 1$ ; confidence 0.656
  
65. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120110/n12011039.png ; $h _ { j } ^ { x }$ ; confidence 0.656
+
65. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120110/n12011039.png ; $h _ { j } ^ { * }$ ; confidence 0.656
  
66. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130090/f130090108.png ; $H _ { n , r } ^ { ( k ) } ( x )$ ; confidence 0.656
+
66. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130090/f130090108.png ; $H _ { n , r } ^ { ( k ) } ( \mathbf x )$ ; confidence 0.656
  
67. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120030/q12003023.png ; $X \in U _ { q } ( \mathfrak { g } )$ ; confidence 0.656
+
67. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120030/q12003023.png ; $X \in \mathcal U _ { q } ( \mathfrak { g } )$ ; confidence 0.656
  
68. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043800/g043800105.png ; $G \nmid K$ ; confidence 0.655
+
68. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043800/g043800105.png ; $G / K$ ; confidence 0.655
  
 
69. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004098.png ; $\varphi \in S$ ; confidence 0.655
 
69. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004098.png ; $\varphi \in S$ ; confidence 0.655
Line 140: Line 140:
 
70. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600233.png ; $K _ { p }$ ; confidence 0.655
 
70. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600233.png ; $K _ { p }$ ; confidence 0.655
  
71. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w12007039.png ; $\rho ( p , q , t ) = e ^ { i ( p D + q X + t l ) }$ ; confidence 0.655
+
71. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w12007039.png ; $\rho ( p , q , t ) = e ^ { i ( p \mathcal D + q \mathcal X + t l ) }$ ; confidence 0.655
  
72. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130060/b13006069.png ; $V ^ { H }$ ; confidence 0.655
+
72. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130060/b13006069.png ; $V ^ { \text{H} }$ ; confidence 0.655
  
73. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130040/g130040141.png ; $F _ { K } ( S _ { 1 } , S _ { 2 } ) = \operatorname { inf } \{ M ( U ) + M ( V ) : U + \partial V = S _ { 1 } - S _ { 2 } \}$ ; confidence 0.655
+
73. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130040/g130040141.png ; $\mathcal F _ { K } ( S _ { 1 } , S _ { 2 } ) = \operatorname { inf } \{ \mathbf M ( U ) + \mathbf M ( V ) : U + \partial V = S _ { 1 } - S _ { 2 } \},$ ; confidence 0.655
  
74. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a13032052.png ; $E ( N ) = 4 JK$ ; confidence 0.655
+
74. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a13032052.png ; $\mathsf E ( N ) = 4 JK$ ; confidence 0.655
  
75. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016018.png ; $\{ u ( t ) \}$ ; confidence 0.655
+
75. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016018.png ; $\{ u_i  ( t ) \}$ ; confidence 0.655
  
76. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120170/f12017019.png ; $G = * A _ { i } f N ( r )$ ; confidence 0.655
+
76. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120170/f12017019.png ; $G = * A _ { i } N ( r )$ ; confidence 0.655
  
 
77. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130210/t1302109.png ; $u ( b ) = u _ { b }$ ; confidence 0.655
 
77. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130210/t1302109.png ; $u ( b ) = u _ { b }$ ; confidence 0.655
Line 156: Line 156:
 
78. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120140/p12014057.png ; $N ( x )$ ; confidence 0.655
 
78. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120140/p12014057.png ; $N ( x )$ ; confidence 0.655
  
79. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022110/c02211015.png ; $P \{ \chi _ { k - 1 } ^ { 2 } \geq \chi _ { k - 1 } ^ { 2 } ( \alpha ) \} = \alpha$ ; confidence 0.655
+
79. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022110/c02211015.png ; $\mathsf P \{ \chi _ { k - 1 } ^ { 2 } \geq \chi _ { k - 1 } ^ { 2 } ( \alpha ) \} = \alpha .$ ; confidence 0.655
  
80. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s13064067.png ; $\alpha = 1 + k = \operatorname { exp } ( s )$ ; confidence 0.655
+
80. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s13064067.png ; $a = 1 + k = \operatorname { exp } ( s )$ ; confidence 0.655
  
81. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130030/d13003024.png ; $0 < C _ { \psi } = 2 \pi \int _ { 0 } ^ { \infty } \frac { | \hat { \psi } ( \alpha \omega ) | ^ { 2 } } { \alpha } d \alpha < \infty$ ; confidence 0.655
+
81. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130030/d13003024.png ; $0 < C _ { \psi } = 2 \pi \int _ { 0 } ^ { \infty } \frac { | \widehat { \psi } ( a \omega ) | ^ { 2 } } { a } d a < \infty ,$ ; confidence 0.655
  
82. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b1204208.png ; $\Phi _ { V , W , Z } : ( V \otimes W ) \otimes Z \rightarrow V \otimes ( W \otimes Z )$ ; confidence 0.655
+
82. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b1204208.png ; $\Phi _ { V , W , Z } : ( V \bigotimes W ) \bigotimes Z \rightarrow V \bigotimes ( W \bigotimes Z )$ ; confidence 0.655
  
 
83. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026810/c02681011.png ; $Y _ { 1 } , \ldots , Y _ { n }$ ; confidence 0.655
 
83. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026810/c02681011.png ; $Y _ { 1 } , \ldots , Y _ { n }$ ; confidence 0.655
  
84. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120340/b12034020.png ; $K _ { N } ( D ^ { \circ } )$ ; confidence 0.655
+
84. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120340/b12034020.png ; $K _ { n } ( D ^ { \circ } )$ ; confidence 0.655
  
 
85. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120200/e1202008.png ; $d ( C _ { i } , C _ { j } ) = \sqrt { \sum _ { k = 1 } ^ { r } ( x _ { j k } - x _ { i k } ) ^ { 2 } }$ ; confidence 0.655
 
85. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120200/e1202008.png ; $d ( C _ { i } , C _ { j } ) = \sqrt { \sum _ { k = 1 } ^ { r } ( x _ { j k } - x _ { i k } ) ^ { 2 } }$ ; confidence 0.655
  
86. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m13025040.png ; $( \delta ( x ) , \text { vp } 1 / x ) \notin M _ { 1 } ( R )$ ; confidence 0.654
+
86. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m13025040.png ; $( \delta ( x ) , \text { vp } 1 / x ) \notin \mathcal M _ { 1 } ( \mathbf R )$ ; confidence 0.654
  
87. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l05700022.png ; $I \equiv \lambda x x$ ; confidence 0.654
+
87. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l05700022.png ; $\mathbf I \equiv \lambda x x$ ; confidence 0.654
  
88. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024074.png ; $P$ ; confidence 0.654
+
88. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024074.png ; $P_ i$ ; confidence 0.654
  
89. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120030/d12003071.png ; $f \in DB _ { 1 } ^ { * }$ ; confidence 0.654
+
89. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120030/d12003071.png ; $f \in \operatorname{DB} _ { 1 } ^ { * }$ ; confidence 0.654
  
90. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b12042015.png ; $( \otimes ) \otimes : C \times C \times C \rightarrow C$ ; confidence 0.654
+
90. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b12042015.png ; $( \otimes ) \otimes :\mathcal  C \times \mathcal C \times \mathcal C \rightarrow \mathcal C$ ; confidence 0.654
  
91. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j1300404.png ; $v ^ { - 1 } P _ { L _ { + } } ( v , z ) - v P _ { L - } ( v , z ) = z P _ { L _ { 0 } } ( v , z )$ ; confidence 0.654
+
91. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j1300404.png ; $v ^ { - 1 } P _ { L _ { + } } ( v , z ) - v P _ { L_- } ( v , z ) = z P _ { L _ { 0 } } ( v , z ),$ ; confidence 0.654
  
92. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120130/b120130118.png ; $A _ { y , \alpha }$ ; confidence 0.654
+
92. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120130/b120130118.png ; $A _ { p , \alpha }$ ; confidence 0.654
  
 
93. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120300/s12030014.png ; $X ^ { h G } = \operatorname { Map } _ { G } ( E _ { G } , X )$ ; confidence 0.654
 
93. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120300/s12030014.png ; $X ^ { h G } = \operatorname { Map } _ { G } ( E _ { G } , X )$ ; confidence 0.654
  
94. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s12023084.png ; $P ( | XX ^ { \prime } | = 0 ) = 0$ ; confidence 0.654
+
94. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s12023084.png ; $\mathsf P ( | XX ^ { \prime } | = 0 ) = 0$ ; confidence 0.654
  
95. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120070/g12007034.png ; $( R ^ { m + 1 } )$ ; confidence 0.654
+
95. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120070/g12007034.png ; $\operatorname{Clif}( \mathb R ^ { m + 1 } )$ ; confidence 0.654
  
96. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120240/a1202406.png ; $\sum _ { p } v _ { p } ( f ) \operatorname { log } ( p ) + v _ { \infty } ( f ) = 0$ ; confidence 0.654
+
96. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120240/a1202406.png ; $\sum _ { p } v _ { p } ( f ) \operatorname { log } ( p ) + v _ { \infty } ( f ) = 0,$ ; confidence 0.654
  
 
97. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130660/s13066017.png ; $Q _ { n } ( z , \tau )$ ; confidence 0.654
 
97. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130660/s13066017.png ; $Q _ { n } ( z , \tau )$ ; confidence 0.654
  
98. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120170/b12017030.png ; $f \in L _ { Q } ^ { p }$ ; confidence 0.654
+
98. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120170/b12017030.png ; $f \in L _ { \alpha } ^ { p }$ ; confidence 0.654
  
99. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i13005031.png ; $f ( x , k ) = e ^ { i k x } + \int _ { y } ^ { \infty } A _ { + } ( x , y ) e ^ { i k y } d y$ ; confidence 0.654
+
99. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i13005031.png ; $f ( x , k ) = e ^ { i k x } + \int _ { y } ^ { \infty } A _ { + } ( x , y ) e ^ { i k y } d y,$ ; confidence 0.654
  
100. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d120230114.png ; $R ( z , w ) = \sum _ { i , j = 0 } ^ { \infty } R _ { j } z ^ { i } w ^ { * j }$ ; confidence 0.654
+
100. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d120230114.png ; $R ( z , w ) = \sum _ { i , j = 0 } ^ { \infty } R _ { ij } z ^ { i } w ^ { * j }.$ ; confidence 0.654
  
 
101. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130260/b13026045.png ; $\operatorname { deg } _ { B } [ f , \Omega , y ] = \operatorname { deg } _ { B } [ f , \Omega _ { 1 } , y ] + \operatorname { deg } _ { B } [ f , \Omega _ { 2 } , y ]$ ; confidence 0.654
 
101. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130260/b13026045.png ; $\operatorname { deg } _ { B } [ f , \Omega , y ] = \operatorname { deg } _ { B } [ f , \Omega _ { 1 } , y ] + \operatorname { deg } _ { B } [ f , \Omega _ { 2 } , y ]$ ; confidence 0.654
Line 210: Line 210:
 
105. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120090/l1200907.png ; $q _ { A } : A \rightarrow T M$ ; confidence 0.653
 
105. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120090/l1200907.png ; $q _ { A } : A \rightarrow T M$ ; confidence 0.653
  
106. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t13013048.png ; $\operatorname { Ext } _ { \Lambda } ^ { 1 } ( T , ) : F \rightarrow X$ ; confidence 0.653
+
106. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t13013048.png ; $\operatorname { Ext } _ { \Lambda } ^ { 1 } ( T , . ) : \mathcal F \rightarrow \mathcal X .$ ; confidence 0.653
  
107. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e13003045.png ; $H ^ { \bullet } ( \partial ( \Gamma \backslash X ) , \tilde { M } )$ ; confidence 0.653
+
107. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e13003045.png ; $H ^ { \bullet } ( \partial ( \Gamma \backslash X ) , \widetilde { M } )$ ; confidence 0.653
  
 
108. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130070/v13007035.png ; $w \rightarrow \sigma = s + i t = e ^ { - ( w - \phi _ { 0 } ) \pi }$ ; confidence 0.653
 
108. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130070/v13007035.png ; $w \rightarrow \sigma = s + i t = e ^ { - ( w - \phi _ { 0 } ) \pi }$ ; confidence 0.653
Line 220: Line 220:
 
110. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e12012054.png ; $\sum _ { i } f _ { i } h _ { i }$ ; confidence 0.653
 
110. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e12012054.png ; $\sum _ { i } f _ { i } h _ { i }$ ; confidence 0.653
  
111. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120250/s1202501.png ; $\{ E _ { n } + 1 \}$ ; confidence 0.653
+
111. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120250/s1202501.png ; $\{ E _ { n + 1} \}$ ; confidence 0.653
  
112. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180400.png ; $C ^ { \infty } ( \hat { M } )$ ; confidence 0.653
+
112. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180400.png ; $C ^ { \infty } ( \widetilde { M } )$ ; confidence 0.653
  
113. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130620/s130620197.png ; $q ( x ) = \sum _ { x = 1 } ^ { \infty } f ( x - x _ { x } )$ ; confidence 0.653
+
113. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130620/s130620197.png ; $q ( x ) = \sum _ { n = 1 } ^ { \infty } f ( x - x _ { n } )$ ; confidence 0.653
  
114. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130140/c13014058.png ; $\forall 1 \leq i \leq r : R _ { i } \subseteq M ^ { 2 } \vee R _ { i } \cap M ^ { 2 } = \emptyset$ ; confidence 0.653
+
114. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130140/c13014058.png ; $\forall 1 \leq i \leq r : R _ { i } \subseteq M ^ { 2 } \vee R _ { i } \bigcap M ^ { 2 } = \emptyset$ ; confidence 0.653
  
115. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180481.png ; $( \tilde { N } , g )$ ; confidence 0.653
+
115. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180481.png ; $( \widetilde { N } , \widetilde{g} )$ ; confidence 0.653
  
 
116. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t1300504.png ; $e _ { 0 } \equiv 1$ ; confidence 0.653
 
116. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t1300504.png ; $e _ { 0 } \equiv 1$ ; confidence 0.653
  
117. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130040/e13004046.png ; $= ( \Omega _ { + } - 1 ) g _ { 0 } P _ { + } \psi ( t ) + ( \Omega _ { + } - 1 ) g _ { 0 } P _ { - } \psi ( t )$ ; confidence 0.653
+
117. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130040/e13004046.png ; $= ( \Omega _ { + } - 1 ) g _ { 0 } P _ { + } \psi ( t ) + ( \Omega _ { + } - 1 ) g _ { 0 } P _ { - } \psi ( t ).$ ; confidence 0.653
  
118. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180159.png ; $g ^ { - 1 } ( \theta \otimes \varphi ) = \langle \theta , \gamma ^ { - 1 } ( \varphi ) \rangle \in R$ ; confidence 0.653
+
118. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180159.png ; $g ^ { - 1 } ( \theta \otimes \varphi ) = \langle \theta , \gamma ^ { - 1 } ( \varphi ) \rangle \in \mathcal R $ ; confidence 0.653
  
 
119. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t1202005.png ; $M _ { 1 } ( k ) = \operatorname { min } _ { j } | z _ { j } | ^ { k }$ ; confidence 0.653
 
119. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t1202005.png ; $M _ { 1 } ( k ) = \operatorname { min } _ { j } | z _ { j } | ^ { k }$ ; confidence 0.653
  
120. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120130/m12013024.png ; $n ( t ) = N ( t ) - N x$ ; confidence 0.653
+
120. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120130/m12013024.png ; $n ( t ) = N ( t ) - N_ {*}$ ; confidence 0.653
  
 
121. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120160/b12016038.png ; $A a$ ; confidence 0.653
 
121. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120160/b12016038.png ; $A a$ ; confidence 0.653
Line 246: Line 246:
 
123. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j130040105.png ; $v \pm 1$ ; confidence 0.653
 
123. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j130040105.png ; $v \pm 1$ ; confidence 0.653
  
124. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120010/e12001055.png ; $E \cap M = Iso$ ; confidence 0.653
+
124. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120010/e12001055.png ; $E \cap M = \operatorname{Iso}$ ; confidence 0.653
  
125. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130200/a13020017.png ; $\{ K ( a , b ) \} _ { span }$ ; confidence 0.653
+
125. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130200/a13020017.png ; $\{ K ( a , b ) \} _ { \operatorname{span} }$ ; confidence 0.653
  
 
126. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066960/n06696018.png ; $F _ { n } ( x ; \lambda ) = 0$ ; confidence 0.653
 
126. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066960/n06696018.png ; $F _ { n } ( x ; \lambda ) = 0$ ; confidence 0.653
  
127. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110030/l11003049.png ; $Q \in ca ( \Omega , F )$ ; confidence 0.653
+
127. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110030/l11003049.png ; $Q \in \operatorname{ca} ( \Omega , \mathcal{F} )$ ; confidence 0.653
  
128. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090160.png ; $\langle g x , y \rangle = \langle x , g ^ { T } y \rangle , \quad \forall g \in G$ ; confidence 0.652
+
128. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090160.png ; $\langle g x , y \rangle = \left\langle x , g ^ { T } y \right\rangle , \quad \forall g \in G,$ ; confidence 0.652
  
129. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130070/i13007015.png ; $r \rightarrow \infty , \frac { x } { r } = \alpha ^ { \prime }$ ; confidence 0.652
+
129. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130070/i13007015.png ; $r \rightarrow \infty , \frac { x } { r } = \alpha ^ { \prime },$ ; confidence 0.652
  
 
130. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016049.png ; $\alpha _ { k }$ ; confidence 0.652
 
130. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016049.png ; $\alpha _ { k }$ ; confidence 0.652
Line 264: Line 264:
 
132. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170214.png ; $\pi _ { 1 } ( K ) \rightarrow \pi _ { 1 } ( L )$ ; confidence 0.652
 
132. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170214.png ; $\pi _ { 1 } ( K ) \rightarrow \pi _ { 1 } ( L )$ ; confidence 0.652
  
133. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290137.png ; $G ( \mathfrak { q } ) = \oplus _ { n } \geq 0 \mathfrak { q } ^ { n } / \mathfrak { q } ^ { n + 1 }$ ; confidence 0.652
+
133. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290137.png ; $G ( \mathfrak { q } ) = \oplus _ { n \geq 0} \mathfrak { q } ^ { n } / \mathfrak { q } ^ { n + 1 }$ ; confidence 0.652
  
 
134. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120120/p12012036.png ; $C _ { 1234 }$ ; confidence 0.652
 
134. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120120/p12012036.png ; $C _ { 1234 }$ ; confidence 0.652
Line 270: Line 270:
 
135. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120240/f12024021.png ; $\operatorname { max } \{ m _ { 1 } , \dots , m _ { k } \} = m$ ; confidence 0.652
 
135. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120240/f12024021.png ; $\operatorname { max } \{ m _ { 1 } , \dots , m _ { k } \} = m$ ; confidence 0.652
  
136. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120070/c12007077.png ; $20$ ; confidence 0.652
+
136. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120070/c12007077.png ; $Z \mathcal C $ ; confidence 0.652
  
 
137. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120150/s120150139.png ; $\varphi H G$ ; confidence 0.652
 
137. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120150/s120150139.png ; $\varphi H G$ ; confidence 0.652
  
138. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130030/z13003040.png ; $( Z f ) ( t + 1 , w ) = e ^ { 2 \pi i w } ( Z f ) ( t , w )$ ; confidence 0.652
+
138. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130030/z13003040.png ; $( Z f ) ( t + 1 , w ) = e ^ { 2 \pi i w } ( Z f ) ( t , w ).$ ; confidence 0.652
  
 
139. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s120320126.png ; $\varphi _ { 0 } : U \rightarrow V$ ; confidence 0.652
 
139. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s120320126.png ; $\varphi _ { 0 } : U \rightarrow V$ ; confidence 0.652
Line 284: Line 284:
 
142. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240462.png ; $t _ { 1 } , \ldots , t _ { p }$ ; confidence 0.651
 
142. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240462.png ; $t _ { 1 } , \ldots , t _ { p }$ ; confidence 0.651
  
143. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e1201006.png ; $f$ ; confidence 0.651
+
143. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e1201006.png ; $\mathbf E$ ; confidence 0.651
  
 
144. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170137.png ; $C ^ { 2 } \times I$ ; confidence 0.651
 
144. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170137.png ; $C ^ { 2 } \times I$ ; confidence 0.651
Line 290: Line 290:
 
145. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110210/b11021020.png ; $f : S \rightarrow S$ ; confidence 0.651
 
145. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110210/b11021020.png ; $f : S \rightarrow S$ ; confidence 0.651
  
146. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016052.png ; $N$ ; confidence 0.651
+
146. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016052.png ; $N_ 0 $ ; confidence 0.651
  
147. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120030/q1200306.png ; $( G )$ ; confidence 0.651
+
147. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120030/q1200306.png ; $\operatorname{Fun}( G )$ ; confidence 0.651
  
 
148. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120060/i12006060.png ; $P \rightarrow \operatorname { PrSu } ( P )$ ; confidence 0.651
 
148. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120060/i12006060.png ; $P \rightarrow \operatorname { PrSu } ( P )$ ; confidence 0.651
  
149. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014070/a0140704.png ; $6$ ; confidence 0.651
+
149. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014070/a0140704.png ; $\circ $ ; confidence 0.651
  
150. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130620/s13062053.png ; $\phi ( , \lambda ) + m _ { 0 } ( \lambda ) \theta ( , \lambda ) \in L ^ { 2 } ( 0 , \infty )$ ; confidence 0.651
+
150. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130620/s13062053.png ; $\phi ( . , \lambda ) + m _ { 0 } ( \lambda ) \theta ( . , \lambda ) \in L ^ { 2 } ( 0 , \infty ),$ ; confidence 0.651
  
151. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840321.png ; $J U ( t ) = i H ( t ) U ( t )$ ; confidence 0.651
+
151. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840321.png ; $J \dot{U} ( t ) = i H ( t ) U ( t )$ ; confidence 0.651
  
152. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240137.png ; $B$ ; confidence 0.651
+
152. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240137.png ; $\operatorname{B}$ ; confidence 0.651
  
153. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120230/a1202302.png ; $0 \Omega$ ; confidence 0.651
+
153. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120230/a1202302.png ; $\partial D$ ; confidence 0.651
  
154. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130010/i13001058.png ; $n < 15$ ; confidence 0.651
+
154. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130010/i13001058.png ; $n \leq 15$ ; confidence 0.651
  
 
155. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240158.png ; $E ( y _ { i } ) = \eta _ { i }$ ; confidence 0.651
 
155. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240158.png ; $E ( y _ { i } ) = \eta _ { i }$ ; confidence 0.651
  
156. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120230/a1202304.png ; $\int _ { \partial D } f z _ { 1 } ^ { m } d z _ { 1 } = 0 , \quad m = 0,1 , \dots$ ; confidence 0.651
+
156. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120230/a1202304.png ; $\int _ { \partial D } f z _ { 1 } ^ { m } d z _ { 1 } = 0 , \quad m = 0,1 , \dots ,$ ; confidence 0.651
  
 
157. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a120070126.png ; $v \mapsto u ( v )$ ; confidence 0.651
 
157. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a120070126.png ; $v \mapsto u ( v )$ ; confidence 0.651
  
158. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l120120122.png ; $\phi : V \rightarrow A ^ { r }$ ; confidence 0.651
+
158. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l120120122.png ; $\phi : V \rightarrow \mathbf A ^ { r }$ ; confidence 0.651
  
 
159. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130170/b13017019.png ; $B _ { t }$ ; confidence 0.651
 
159. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130170/b13017019.png ; $B _ { t }$ ; confidence 0.651
Line 322: Line 322:
 
161. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060030/l06003052.png ; $b \| c$ ; confidence 0.651
 
161. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060030/l06003052.png ; $b \| c$ ; confidence 0.651
  
162. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f130100125.png ; $\{ \square _ { \chi } u : \chi \in \hat { G } \}$ ; confidence 0.651
+
162. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f130100125.png ; $\left\{ \square _ { \chi } u : \chi \in \widehat { G } right\}$ ; confidence 0.651
  
163. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130080/d13008082.png ; $= \{ z \in \Delta : \operatorname { lim } _ { \omega \rightarrow \alpha } [ \rho ( z , \omega ) - \rho ( 0 , \omega ) ] < \frac { 1 } { 2 } \operatorname { log } R \}$ ; confidence 0.651
+
163. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130080/d13008082.png ; $= \left\{ z \in \Delta : \operatorname { lim } _ { \omega \rightarrow a } [ \rho ( z , \omega ) - \rho ( 0 , \omega ) ] < \frac { 1 } { 2 } \operatorname { log } R \right\}$ ; confidence 0.651
  
164. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026010/c026010190.png ; $( \Omega , F , P )$ ; confidence 0.650
+
164. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026010/c026010190.png ; $( \Omega , \mathcal F , \mathsf P )$ ; confidence 0.650
  
165. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038070/f0380706.png ; $1$ ; confidence 0.650
+
165. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038070/f0380706.png ; $\operatorname{I}$ ; confidence 0.650
  
 
166. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012980/a012980165.png ; $k = 0,1 , \ldots$ ; confidence 0.650
 
166. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012980/a012980165.png ; $k = 0,1 , \ldots$ ; confidence 0.650
Line 336: Line 336:
 
168. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120210/e1202104.png ; $p _ { m } ( x )$ ; confidence 0.650
 
168. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120210/e1202104.png ; $p _ { m } ( x )$ ; confidence 0.650
  
169. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018069.png ; $C A _ { \omega }$ ; confidence 0.650
+
169. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018069.png ; $\mathsf{CA} _ { \omega }$ ; confidence 0.650
  
 
170. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120140/e12014041.png ; $s , t \in T$ ; confidence 0.650
 
170. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120140/e12014041.png ; $s , t \in T$ ; confidence 0.650
Line 342: Line 342:
 
171. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013035.png ; $\theta _ { n }$ ; confidence 0.650
 
171. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013035.png ; $\theta _ { n }$ ; confidence 0.650
  
172. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520317.png ; $a ( y ; )$ ; confidence 0.650
+
172. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520317.png ; $a ( y_j )$ ; confidence 0.650
  
 
173. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023050/c02305092.png ; $l \neq \text { char } k$ ; confidence 0.650
 
173. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023050/c02305092.png ; $l \neq \text { char } k$ ; confidence 0.650
Line 350: Line 350:
 
175. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n06752012.png ; $M _ { m \times n } ( K )$ ; confidence 0.650
 
175. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n06752012.png ; $M _ { m \times n } ( K )$ ; confidence 0.650
  
176. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120010/c12001090.png ; $E = \{ z \in C ^ { n } : \rho ( z ) < 0 \}$ ; confidence 0.650
+
176. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120010/c12001090.png ; $E = \{ z \in \mathbf C ^ { n } : \rho ( z ) < 0 \}$ ; confidence 0.650
  
177. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130070/b13007017.png ; $BS ( 2,3 ) = \langle \alpha , b | \alpha ^ { - 1 } b ^ { 2 } \alpha = b ^ { 3 } \rangle$ ; confidence 0.650
+
177. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130070/b13007017.png ; $\operatorname{BS} ( 2,3 ) = \langle a , b | a ^ { - 1 } b ^ { 2 } a = b ^ { 3 } \rangle$ ; confidence 0.650
  
 
178. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i130090165.png ; $\Gamma = \operatorname { Gal } ( k _ { \chi , \infty } / k _ { \chi } ) \cong \operatorname { Gal } ( k _ { \chi } ( \mu _ { p } \infty ) / k _ { \chi } ( \mu _ { p } ) )$ ; confidence 0.650
 
178. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i130090165.png ; $\Gamma = \operatorname { Gal } ( k _ { \chi , \infty } / k _ { \chi } ) \cong \operatorname { Gal } ( k _ { \chi } ( \mu _ { p } \infty ) / k _ { \chi } ( \mu _ { p } ) )$ ; confidence 0.650
  
179. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130530/s13053082.png ; $G = GL _ { n } ( F _ { q } )$ ; confidence 0.650
+
179. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130530/s13053082.png ; $G = \operatorname{GL} _ { n } ( \mathbf{F} _ { q } )$ ; confidence 0.650
  
 
180. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014050/a01405026.png ; $B _ { 2 }$ ; confidence 0.650
 
180. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014050/a01405026.png ; $B _ { 2 }$ ; confidence 0.650
  
181. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130010/b13001084.png ; $SL ( 2 , R )$ ; confidence 0.650
+
181. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130010/b13001084.png ; $\operatorname{SL} ( 2 , \mathbf R )$ ; confidence 0.650
  
 
182. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130200/m13020028.png ; $\mathfrak { g } \ni X , Y \mapsto \{ j X , j Y \} - j ( [ X , Y ] )$ ; confidence 0.650
 
182. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130200/m13020028.png ; $\mathfrak { g } \ni X , Y \mapsto \{ j X , j Y \} - j ( [ X , Y ] )$ ; confidence 0.650
  
183. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110380/h11038025.png ; $x \in R ^ { 2 }$ ; confidence 0.650
+
183. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110380/h11038025.png ; $x \in \mathbf R ^ { 2 }$ ; confidence 0.650
  
184. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120200/s12020050.png ; $\sigma$ ; confidence 0.650
+
184. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120200/s12020050.png ; $\sigma t $ ; confidence 0.650
  
185. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c120210136.png ; $\{ P _ { n } , \theta _ { n } \}$ ; confidence 0.650
+
185. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c120210136.png ; $\{ P _ { n , \theta _ { n }} \}$ ; confidence 0.650
  
 
186. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120140/e12014064.png ; $r = t$ ; confidence 0.650
 
186. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120140/e12014064.png ; $r = t$ ; confidence 0.650
  
187. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120180/d12018087.png ; $R _ { \phi }$ ; confidence 0.649
+
187. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120180/d12018087.png ; $\mathbf R _ { d}$ ; confidence 0.649
  
 
188. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120160/b12016037.png ; $( A A , a a )$ ; confidence 0.649
 
188. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120160/b12016037.png ; $( A A , a a )$ ; confidence 0.649
  
189. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z130110128.png ; $N _ { i j }$ ; confidence 0.649
+
189. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z130110128.png ; $N _ { i k }$ ; confidence 0.649
  
 
190. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120050/s12005071.png ; $K _ { S } ( w , z )$ ; confidence 0.649
 
190. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120050/s12005071.png ; $K _ { S } ( w , z )$ ; confidence 0.649
  
191. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046010/h046010154.png ; $\pi _ { 1 } T ^ { 4 } = 0$ ; confidence 0.649
+
191. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046010/h046010154.png ; $\operatorname{Wh} \pi _ { 1 } T ^ { 4 } = 0$ ; confidence 0.649
  
192. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120240/e12024086.png ; $K _ { 2 n - 2 } ( Q )$ ; confidence 0.649
+
192. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120240/e12024086.png ; $K _ { 2 n - 2 } ( \mathbf Q )$ ; confidence 0.649
  
 
193. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130090/f13009029.png ; $n = 0,1 , \ldots$ ; confidence 0.649
 
193. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130090/f13009029.png ; $n = 0,1 , \ldots$ ; confidence 0.649
  
194. https://www.encyclopediaofmath.org/legacyimages/n/n130/n130030/n1300303.png ; $u ( x , 0 ) = u 0 ( x )$ ; confidence 0.649
+
194. https://www.encyclopediaofmath.org/legacyimages/n/n130/n130030/n1300303.png ; $u ( x , 0 ) = u_ 0 ( x )$ ; confidence 0.649
  
 
195. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120190/e120190133.png ; $T \ni m$ ; confidence 0.649
 
195. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120190/e120190133.png ; $T \ni m$ ; confidence 0.649
Line 392: Line 392:
 
196. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130070/f1300704.png ; $a _ { i } + a _ { i + 1 } = a _ { i + 2 }$ ; confidence 0.649
 
196. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130070/f1300704.png ; $a _ { i } + a _ { i + 1 } = a _ { i + 2 }$ ; confidence 0.649
  
197. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130060/k13006056.png ; $| F | = \left( \begin{array} { l } { x } \\ { k } \end{array} \right)$ ; confidence 0.649
+
197. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130060/k13006056.png ; $| \mathcal F | = \left( \begin{array} { l } { x } \\ { k } \end{array} \right)$ ; confidence 0.649
  
198. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023270/c0232708.png ; $\overline { \overline { A } } = \vec { A }$ ; confidence 0.649
+
198. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023270/c0232708.png ; $\overline { \overline { A } } = \overline { A }$ ; confidence 0.649
  
 
199. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200178.png ; $\Lambda \in \mathfrak { h } ^ { * }$ ; confidence 0.649
 
199. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200178.png ; $\Lambda \in \mathfrak { h } ^ { * }$ ; confidence 0.649
  
200. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z13011066.png ; $f ( k , n ) \sim A k ^ { - ( 1 + q ) }$ ; confidence 0.649
+
200. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z13011066.png ; $f _{( k , n )} \sim A k ^ { - ( 1 + q ) }$ ; confidence 0.649
  
 
201. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130010/f13001048.png ; $O ^ { \sim } ( n \operatorname { log } q )$ ; confidence 0.649
 
201. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130010/f13001048.png ; $O ^ { \sim } ( n \operatorname { log } q )$ ; confidence 0.649
  
202. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040490/f04049010.png ; $x = [ ( \nu _ { 1 } - 2 ) / \nu _ { 1 } ] \cdot [ \nu _ { 2 } / ( \nu _ { 2 } + 2 ) ]$ ; confidence 0.649
+
202. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040490/f04049010.png ; $x = [ ( \nu _ { 1 } - 2 ) / \nu _ { 1 } ] . [ \nu _ { 2 } / ( \nu _ { 2 } + 2 ) ]$ ; confidence 0.649
  
203. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120110/p12011039.png ; $\vec { e }$ ; confidence 0.649
+
203. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120110/p12011039.png ; $\overset{\rightharpoonup} { e }$ ; confidence 0.649
  
204. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180373.png ; $q 1 + \ldots + q m > 0$ ; confidence 0.649
+
204. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180373.png ; $q_ 1 + \ldots + q_ m > 0$ ; confidence 0.649
  
205. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e12012086.png ; $L ( \mu , \Sigma | Y _ { aug } ) = \prod _ { i = 1 } ^ { n } f ( y _ { i } | \mu , \Sigma , \nu , q _ { k } ) f ( q _ { i } | \nu )$ ; confidence 0.649
+
205. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e12012086.png ; $L ( \mu , \Sigma | Y _ { \operatorname{aug} } ) = \prod _ { i = 1 } ^ { n } f ( y _ { i } | \mu , \Sigma , \nu , q _ { i } ) f ( q _ { i } | \nu )$ ; confidence 0.649
  
 
206. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110130.png ; $a ( x , \xi , h )$ ; confidence 0.649
 
206. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110130.png ; $a ( x , \xi , h )$ ; confidence 0.649
  
207. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130140/p1301409.png ; $p \in R _ { + } : = [ 0 , \infty )$ ; confidence 0.649
+
207. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130140/p1301409.png ; $p \in \mathbf R _ { + } : = [ 0 , \infty )$ ; confidence 0.649
  
208. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130130/d13013042.png ; $g = n \frac { \hbar } { 2 e } , \quad n = 0 , \pm 1 , \pm 2 , \ldots$ ; confidence 0.649
+
208. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130130/d13013042.png ; $g = n \frac { \hbar } { 2 e } , \quad n = 0 , \pm 1 , \pm 2 , \ldots .$ ; confidence 0.649
  
209. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120160/e12016046.png ; $\partial _ { r } ( r J ^ { - 1 } \partial _ { r } J ) + \partial _ { z } ( r J ^ { - 1 } \partial _ { z } J ) = 0$ ; confidence 0.648
+
209. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120160/e12016046.png ; $\partial _ { r } ( r J ^ { - 1 } \partial _ { r } J ) + \partial _ { z } ( r J ^ { - 1 } \partial _ { z } J ) = 0,$ ; confidence 0.648
  
210. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090106.png ; $y _ { \lambda } = \sum _ { \pi \in C ( t ) } \operatorname { sg } ( \pi ) \pi$ ; confidence 0.648
+
210. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090106.png ; $y _ { \lambda } = \sum _ { \pi \in C ( t ) } \operatorname { sg } ( \pi ) \pi ,$ ; confidence 0.648
  
211. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110610/b11061049.png ; $R ^ { x }$ ; confidence 0.648
+
211. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110610/b11061049.png ; $R ^ { n }$ ; confidence 0.648
  
212. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120200/b12020023.png ; $\theta ( z ) = b ( z ) \cdot s ( z )$ ; confidence 0.648
+
212. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120200/b12020023.png ; $\theta ( z ) = b ( z ) . s ( z )$ ; confidence 0.648
  
213. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120190/w12019043.png ; $F = ( 2 \pi \hbar ) ^ { - 6 N } \int _ { R ^ { 3 N } \times R ^ { 3 N } } e ^ { i ( \sigma X + r P ) / \hbar } \phi ( \sigma , \tau ) d \sigma d \tau$ ; confidence 0.648
+
213. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120190/w12019043.png ; $F = ( 2 \pi \hbar ) ^ { - 6 N } \int _ { \mathbf R ^ { 3 N } \times \mathbf R ^ { 3 N } } e ^ { i ( \sigma .X + r. P ) / \hbar } \phi ( \sigma , \tau ) d \sigma d \tau$ ; confidence 0.648
  
214. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d120230107.png ; $C _ { l } = ( \frac { u _ { i } v _ { j } ^ { * } } { f _ { i } - a _ { j } ^ { * } } ) , u _ { i } , v _ { i } \in C ^ { 1 \times r }$ ; confidence 0.648
+
214. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d120230107.png ; $C _ { l } = \left( \frac { u _ { i } v _ { j } ^ { * } } { f _ { i } - a _ { j } ^ { * } } \right) , u _ { i } , v _ { i } \in \mathcal C ^ { 1 \times r }.$ ; confidence 0.648
  
215. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130130/h13013015.png ; $e ^ { i k x }$ ; confidence 0.648
+
215. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130130/h13013015.png ; $e ^ { i \mathbf k .  \mathbf x }$ ; confidence 0.648
  
216. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120510/b12051081.png ; $H _ { + } ^ { - 1 } = ( I - \frac { s y ^ { T } } { y ^ { T } s } ) H _ { c } ^ { - 1 } ( I - \frac { y s ^ { T } } { y ^ { T } s } ) + \frac { s s ^ { T } } { y ^ { T } s }$ ; confidence 0.648
+
216. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120510/b12051081.png ; $H _ { + } ^ { - 1 } = \left( I - \frac { s y ^ { T } } { y ^ { T } s } \right) H _ { c } ^ { - 1 } \left( I - \frac { y s ^ { T } } { y ^ { T } s } \right) + \frac { s s ^ { T } } { y ^ { T } s }.$ ; confidence 0.648
  
 
217. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120150/p1201507.png ; $x \in X$ ; confidence 0.648
 
217. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120150/p1201507.png ; $x \in X$ ; confidence 0.648
  
218. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130020/j13002011.png ; $X = \sum _ { A \in S } I _ { A }$ ; confidence 0.648
+
218. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130020/j13002011.png ; $X = \sum _ { A \in \mathcal S } I _ { A }$ ; confidence 0.648
  
219. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130070/z13007063.png ; $U \in SGL _ { 6 } ( Z ( C _ { 6 } \times C _ { 6 } ) )$ ; confidence 0.648
+
219. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130070/z13007063.png ; $U \in v\operatorname{SGL} _ { 6 } ( \mathbf Z ( C _ { 6 } \times C _ { 6 } ) )$ ; confidence 0.648
  
220. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t1301406.png ; $\Phi ( x ) = \sum _ { j \in Q _ { 0 } } x _ { j } ^ { 2 } - \sum _ { i , j \in Q _ { 0 } } d _ { i j } x _ { i } x _ { j }$ ; confidence 0.648
+
220. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t1301406.png ; $q_Q ( x ) = \sum _ { j \in Q _ { 0 } } x _ { j } ^ { 2 } - \sum _ { i , j \in Q _ { 0 } } d _ { i j } x _ { i } x _ { j },$ ; confidence 0.648
  
 
221. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110261.png ; $a \in S ( m , G )$ ; confidence 0.648
 
221. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110261.png ; $a \in S ( m , G )$ ; confidence 0.648
  
222. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120120/w12012056.png ; $C = 0$ ; confidence 0.648
+
222. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120120/w12012056.png ; $C \equiv 0$ ; confidence 0.648
  
223. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130010/l13001036.png ; $S _ { N } \| / N ^ { ( n - 1 ) / 2 }$ ; confidence 0.648
+
223. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130010/l13001036.png ; $\| S _ { N } \| / N ^ { ( n - 1 ) / 2 }$ ; confidence 0.648
  
224. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009037.png ; $( 1 + \alpha ^ { 2 } ) \frac { d \tau } { \tau } = ( p _ { S } ( \xi , \tau ) - \alpha i ) \frac { d \xi } { \xi }$ ; confidence 0.647
+
224. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009037.png ; $( 1 + a ^ { 2 } ) \frac { d \tau } { \tau } = ( p _ { 3 } ( \xi , \tau ) - a i ) \frac { d \xi } { \xi },$ ; confidence 0.647
  
 
225. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120040/l12004083.png ; $0.2$ ; confidence 0.647
 
225. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120040/l12004083.png ; $0.2$ ; confidence 0.647
  
226. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120100/m120100110.png ; $\epsilon + 1$ ; confidence 0.647
+
226. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120100/m120100110.png ; $\epsilon_{i + 1}$ ; confidence 0.647
  
227. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220175.png ; $z _ { D } : B ^ { m } ( X ) \rightarrow H _ { M } ^ { 2 m + 1 } ( X / R , R ( m + 1 ) )$ ; confidence 0.647
+
227. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220175.png ; $z _ { \mathcal D } : B ^ { m } ( X ) \rightarrow H _ { \mathcal M } ^ { 2 m + 1 } ( X_{ / \mathbf R} , \mathbf R ( m + 1 ) )$ ; confidence 0.647
  
228. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120020/n12002052.png ; $\hat { m } = X$ ; confidence 0.647
+
228. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120020/n12002052.png ; $\widehat { m } = X$ ; confidence 0.647
  
 
229. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006082.png ; $W \subset Y$ ; confidence 0.647
 
229. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006082.png ; $W \subset Y$ ; confidence 0.647
  
230. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a13032025.png ; $E _ { \theta } ( S _ { N } ) = P _ { \theta } ( S _ { N } = 1 ) = 1 - P _ { \theta } ( S _ { n } = 0 ) = 1 - ( 1 - \theta ) ^ { n }$ ; confidence 0.647
+
230. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a13032025.png ; $\mathsf E _ { \theta } ( S _ { N } ) = \mathsf P _ { \theta } ( S _ { N } = 1 ) = 1 - \mathsf P _ { \theta } ( S _ { n } = 0 ) = 1 - ( 1 - \theta ) ^ { n }$ ; confidence 0.647
  
231. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120140/e120140107.png ; $( \exists x \varphi ( x ) ) = \varphi \left( \begin{array} { c } { x } \\ { \varepsilon x \varphi } \end{array} \right) \text { and } ( \forall x \varphi ( x ) ) = \varphi \left( \begin{array} { c } { x } \\ { \varepsilon x ( \neg \varphi ) } \end{array} \right)$ ; confidence 0.647
+
231. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120140/e120140107.png ; $( \exists x \varphi ( x ) ) = \varphi \left( \begin{array} { c } { x } \\ { \varepsilon x \varphi } \end{array} \right) \text { and } ( \forall x \varphi ( x ) ) = \varphi \left( \begin{array} { c } { x } \\ { \varepsilon x ( \neg \varphi ) } \end{array} \right),$ ; confidence 0.647
  
232. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n06752091.png ; $M _ { m \times n } ( \overline { R } )$ ; confidence 0.646
+
232. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n06752091.png ; $M _ { m \times n } ( \widetilde{ K } )$ ; confidence 0.646
  
233. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120260/c12026015.png ; $U _ { 0 } ^ { n } = U _ { J } ^ { n } = 0 , \quad 1 \leq n \leq N$ ; confidence 0.646
+
233. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120260/c12026015.png ; $U _ { 0 } ^ { n } = U _ { J } ^ { n } = 0 , \quad 1 \leq n \leq N,$ ; confidence 0.646
  
234. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b120420149.png ; $V = k 1 \oplus g \subset U ( g )$ ; confidence 0.646
+
234. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b120420149.png ; $V = k 1 \oplus \mathfrak g \subset U ( \mathfrak g )$ ; confidence 0.646
  
 
235. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120050/k12005019.png ; $\sum _ { j = 1 } ^ { t } \mu _ { * } ^ { - 1 } B _ { j } + \sum _ { k = 1 } ^ { s } D _ { k }$ ; confidence 0.646
 
235. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120050/k12005019.png ; $\sum _ { j = 1 } ^ { t } \mu _ { * } ^ { - 1 } B _ { j } + \sum _ { k = 1 } ^ { s } D _ { k }$ ; confidence 0.646
  
236. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b12043026.png ; $Ad : B \otimes B \rightarrow B$ ; confidence 0.646
+
236. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b12043026.png ; $\operatorname{Ad} : B \otimes B \rightarrow B$ ; confidence 0.646
  
 
237. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120010/c12001069.png ; $E = E ^ { * * }$ ; confidence 0.646
 
237. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120010/c12001069.png ; $E = E ^ { * * }$ ; confidence 0.646
Line 476: Line 476:
 
238. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130080/c13008031.png ; $P _ { A }$ ; confidence 0.646
 
238. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130080/c13008031.png ; $P _ { A }$ ; confidence 0.646
  
239. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200136.png ; $( .1 . )$ ; confidence 0.646
+
239. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200136.png ; $( . | . )$ ; confidence 0.646
  
240. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130280/b13028033.png ; $\sum ^ { \infty } z$ ; confidence 0.646
+
240. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130280/b13028033.png ; $\sum ^ { \infty } Z$ ; confidence 0.646
  
 
241. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120200/l1202009.png ; $m \geq n + 1$ ; confidence 0.646
 
241. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120200/l1202009.png ; $m \geq n + 1$ ; confidence 0.646
Line 484: Line 484:
 
242. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130130/d1301306.png ; $r , \theta , \phi$ ; confidence 0.646
 
242. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130130/d1301306.png ; $r , \theta , \phi$ ; confidence 0.646
  
243. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e13003063.png ; $( \omega , 0 )$ ; confidence 0.646
+
243. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e13003063.png ; $\operatorname{Eis} ( \omega , 0 )$ ; confidence 0.646
  
 
244. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l120120125.png ; $x \in V ( M ^ { \prime } )$ ; confidence 0.646
 
244. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l120120125.png ; $x \in V ( M ^ { \prime } )$ ; confidence 0.646
Line 490: Line 490:
 
245. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130140/s13014011.png ; $\lambda = ( \lambda _ { 1 } , \dots , \lambda _ { 2 m } )$ ; confidence 0.646
 
245. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130140/s13014011.png ; $\lambda = ( \lambda _ { 1 } , \dots , \lambda _ { 2 m } )$ ; confidence 0.646
  
246. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130060/i13006046.png ; $F ( x ) : = \sum _ { j = 1 } ^ { J } s _ { j } e ^ { - k _ { j } x } + \frac { 1 } { 2 \pi } \int _ { - \infty } ^ { \infty } [ 1 - S ( k ) ] e ^ { i k x } d k$ ; confidence 0.646
+
246. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130060/i13006046.png ; $F ( x ) : = \sum _ { j = 1 } ^ { J } s _ { j } e ^ { - k _ { j } x } + \frac { 1 } { 2 \pi } \int _ { - \infty } ^ { \infty } [ 1 - S ( k ) ] e ^ { i k x } d k.$ ; confidence 0.646
  
247. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120110/h12011032.png ; $B ( 0,1 ) \subseteq C$ ; confidence 0.646
+
247. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120110/h12011032.png ; $B ( 0,1 ) \subseteq \mathbf C$ ; confidence 0.646
  
248. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120100/w12010032.png ; $\square ^ { \prime \prime } \Gamma _ { r k } ^ { t } = \{ \square _ { r k } ^ { t } \} - \frac { 1 } { 2 } g ^ { t s } ( \gamma _ { k } m _ { r s } + \gamma _ { r } m _ { s k } - \gamma _ { s } m _ { r k } )$ ; confidence 0.646
+
248. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120100/w12010032.png ; $\square ^ { \prime \prime } \Gamma _ { r k } ^ { t } = \{ \square _ { r k } ^ { t } \} - \frac { 1 } { 2 } g ^ { t s } ( \gamma _ { k } m _ { r s } + \gamma _ { r } m _ { s k } - \gamma _ { s } m _ { r k } ),$ ; confidence 0.646
  
249. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130010/l13001015.png ; $S _ { B } ( f ; x ) = \sum _ { k \in B } \hat { f } ( k ) e ^ { i k x }$ ; confidence 0.646
+
249. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130010/l13001015.png ; $S _ { B } ( f ; x ) = \sum _ { k \in B } \widehat { f } ( k ) e ^ { i k x }.$ ; confidence 0.646
  
250. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130220/b13022033.png ; $\| u \| _ { p , m , T } = \sum _ { | \alpha | \leq m } \| D ^ { \alpha } u \| _ { p , T }$ ; confidence 0.645
+
250. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130220/b13022033.png ; $\| u \| _ { p , m , T } = \sum _ { | \alpha | \leq m } \| D ^ { \alpha } u \| _ { p , T },$ ; confidence 0.645
  
 
251. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130470/s13047018.png ; $( T - \lambda l ) ^ { \nu ( \lambda ) } X$ ; confidence 0.645
 
251. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130470/s13047018.png ; $( T - \lambda l ) ^ { \nu ( \lambda ) } X$ ; confidence 0.645
  
252. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c120080104.png ; $i , j \in Z _ { + }$ ; confidence 0.645
+
252. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c120080104.png ; $i , j \in \mathbf Z _ { + },$ ; confidence 0.645
  
 
253. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020208.png ; $k \in R ^ { \prime }$ ; confidence 0.645
 
253. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020208.png ; $k \in R ^ { \prime }$ ; confidence 0.645
  
254. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130090/f13009086.png ; $x = ( x _ { 1 } , \dots , x _ { k } )$ ; confidence 0.645
+
254. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130090/f13009086.png ; $\mathbf x = ( x _ { 1 } , \dots , x _ { k } )$ ; confidence 0.645
  
255. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120030/d12003053.png ; $x _ { x } / x _ { 0 }$ ; confidence 0.645
+
255. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120030/d12003053.png ; $x _ { n } \nearrow x _ { 0 }$ ; confidence 0.645
  
256. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008011.png ; $\xi = ( \xi _ { 1 } , \ldots , \xi _ { m } ) \in R ^ { m }$ ; confidence 0.645
+
256. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008011.png ; $\xi = ( \xi _ { 1 } , \ldots , \xi _ { m } ) \in \mathbf R ^ { m }$ ; confidence 0.645
  
257. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130070/k13007047.png ; $1.12$ ; confidence 0.645
+
257. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130070/k13007047.png ; $L^{1/2}$ ; confidence 0.645
  
 
258. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g120040119.png ; $1 \leq s < s _ { 0 }$ ; confidence 0.645
 
258. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g120040119.png ; $1 \leq s < s _ { 0 }$ ; confidence 0.645
  
259. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o13001083.png ; $A ( \alpha ^ { \prime } , \alpha , k ) \approx - \frac { k ^ { 2 } V } { 4 \pi } ( 1 + \beta _ { p q } \alpha _ { q } \alpha _ { p } ^ { \prime } ) \text { if } \Gamma u = u _ { N } , k a \ll 1$ ; confidence 0.645
+
259. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o13001083.png ; $A ( \alpha ^ { \prime } , \alpha , k ) \approx - \frac { k ^ { 2 } V } { 4 \pi } ( 1 + \beta _ { p q } \alpha _ { q } \alpha _ { p } ^ { \prime } ) \text { if } \Gamma u = u _ { N } , k a \ll 1,$ ; confidence 0.645
  
260. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120080/w12008029.png ; $W ( q ^ { r } p ^ { s } ) = ( Q ^ { r } P ^ { s } ) s$ ; confidence 0.645
+
260. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120080/w12008029.png ; $W ( q ^ { r } p ^ { s } ) = ( Q ^ { r } P ^ { s } )_S $ ; confidence 0.645
  
261. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120150/s12015035.png ; $g ( S ) \cap S \neq 0$ ; confidence 0.645
+
261. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120150/s12015035.png ; $g ( S ) \cap S \neq \emptyset$ ; confidence 0.645
  
262. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a11030013.png ; $\theta _ { X } : ( T V , d ) \rightarrow C \times \Omega X$ ; confidence 0.645
+
262. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a11030013.png ; $\theta _ { X } : ( T V , d ) \rightarrow C_{*} \Omega X$ ; confidence 0.645
  
263. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z13011053.png ; $G _ { N } ( . )$ ; confidence 0.645
+
263. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z13011053.png ; $G _ { n } ( . )$ ; confidence 0.645
  
 
264. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290190.png ; $k = R _ { 0 }$ ; confidence 0.645
 
264. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290190.png ; $k = R _ { 0 }$ ; confidence 0.645
  
265. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130240/f13024029.png ; $[ \left( \begin{array} { l } { a } \\ { b } \end{array} \right) \left( \begin{array} { l } { c } \\ { d } \end{array} \right) \left( \begin{array} { l } { e } \\ { f } \end{array} \right) ] : =$ ; confidence 0.645
+
265. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130240/f13024029.png ; $\left[ \left( \begin{array} { l } { a } \\ { b } \end{array} \right) \left( \begin{array} { l } { c } \\ { d } \end{array} \right) \left( \begin{array} { l } { e } \\ { f } \end{array} \right) \right] : =$ ; confidence 0.645
  
 
266. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b12021078.png ; $\mu \in \mathfrak { h } ^ { * }$ ; confidence 0.645
 
266. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b12021078.png ; $\mu \in \mathfrak { h } ^ { * }$ ; confidence 0.645
  
267. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130090/p13009053.png ; $f ( x , t ) = \frac { 2 } { \omega _ { n } } \int _ { R ^ { n - 1 } } \frac { t f ( y , 0 ) } { ( | x - y | ^ { 2 } + t ^ { 2 } ) ^ { n / 2 } } d y$ ; confidence 0.645
+
267. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130090/p13009053.png ; $f ( x , t ) = \frac { 2 } { \omega _ { n } } \int _ { \mathbf{R} ^ { n - 1 } } \frac { t f ( y , 0 ) } { ( | x - y | ^ { 2 } + t ^ { 2 } ) ^ { n / 2 } } d y,$ ; confidence 0.645
  
268. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a1100404.png ; $k = 0$ ; confidence 0.645
+
268. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a1100404.png ; $\kappa = 0$ ; confidence 0.645
  
269. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b11022022.png ; $\operatorname { Re } ( s ) > 1 + i \nmid 2$ ; confidence 0.645
+
269. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b11022022.png ; $\operatorname { Re } ( s ) > 1 + i / 2$ ; confidence 0.645
  
 
270. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080117.png ; $d S = Q d E$ ; confidence 0.645
 
270. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080117.png ; $d S = Q d E$ ; confidence 0.645
  
271. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120240/e120240139.png ; $\square ( E , Q )$ ; confidence 0.645
+
271. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120240/e120240139.png ; $\square ( E , \mathbf Q )$ ; confidence 0.645
  
272. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a1201005.png ; $S ( t ) = e ^ { - t A } = \sum _ { m = 0 } ^ { \infty } \frac { ( - t A ) ^ { m } } { m ! }$ ; confidence 0.645
+
272. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a1201005.png ; $S ( t ) = e ^ { - t A } = \sum _ { m = 0 } ^ { \infty } \frac { ( - t A ) ^ { m } } { m ! },$ ; confidence 0.645
  
 
273. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g13002027.png ; $i = 1 , \ldots , d$ ; confidence 0.645
 
273. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g13002027.png ; $i = 1 , \ldots , d$ ; confidence 0.645
Line 548: Line 548:
 
274. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120120/m12012052.png ; $0 \neq q \in C$ ; confidence 0.644
 
274. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120120/m12012052.png ; $0 \neq q \in C$ ; confidence 0.644
  
275. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046010/h04601095.png ; $\pi _ { 1 } = Z _ { 5 }$ ; confidence 0.644
+
275. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046010/h04601095.png ; $\pi _ { 1 } = \mathbf Z _ { 5 }$ ; confidence 0.644
  
276. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035000/e03500089.png ; $A _ { f }$ ; confidence 0.644
+
276. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035000/e03500089.png ; $\mathcal A _ { \epsilon }$ ; confidence 0.644
  
277. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050197.png ; $p ( n ) = a ( p ^ { n } )$ ; confidence 0.644
+
277. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050197.png ; $\mathbf p ( n ) = a ( p ^ { n } )$ ; confidence 0.644
  
278. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b11022034.png ; $a b ^ { s }$ ; confidence 0.644
+
278. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b11022034.png ; $a.b ^ { s }$ ; confidence 0.644
  
 
279. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012340/a01234028.png ; $i = 1 , \dots , r - 1$ ; confidence 0.644
 
279. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012340/a01234028.png ; $i = 1 , \dots , r - 1$ ; confidence 0.644
Line 560: Line 560:
 
280. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g12004015.png ; $C ^ { \infty _ { 0 } } ( \Omega )$ ; confidence 0.644
 
280. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g12004015.png ; $C ^ { \infty _ { 0 } } ( \Omega )$ ; confidence 0.644
  
281. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006011.png ; $= \frac { 3 } { 5 } \gamma \int _ { R ^ { 3 } } \rho ( x ) ^ { 5 / 3 } d x - \int _ { R ^ { 3 } } V ( x ) \rho ( x ) d x +$ ; confidence 0.644
+
281. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006011.png ; $:= \frac { 3 } { 5 } \gamma \int _ { \mathbf R ^ { 3 } } \rho ( x ) ^ { 5 / 3 } d x - \int _ { \mathbf R ^ { 3 } } V ( x ) \rho ( x ) d x +$ ; confidence 0.644
  
282. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120090/l12009061.png ; $( P \times g ) / G$ ; confidence 0.644
+
282. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120090/l12009061.png ; $( P \times \mathfrak g ) / G$ ; confidence 0.644
  
283. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120300/b12030073.png ; $\sigma ( A ) = \sigma _ { Bloch } = \cup _ { m = 1 } ^ { \infty } [ \operatorname { min } _ { \eta \in Y ^ { \prime } } \lambda _ { m } ( \eta ) , \operatorname { max } _ { \eta \in Y ^ { \prime } } \lambda _ { m } ( \eta ) ]$ ; confidence 0.644
+
283. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120300/b12030073.png ; $\sigma ( \mathcal A ) = \sigma _ { \operatorname{Bloch} } = \bigcup _ { m = 1 } ^ { \infty } \left[ \operatorname { min } _ { \eta \in Y ^ { \prime } } \lambda _ { m } ( \eta ) , \operatorname { max } _ { \eta \in Y ^ { \prime } } \lambda _ { m } ( \eta ) \right].$ ; confidence 0.644
  
284. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013021.png ; $h$ ; confidence 0.644
+
284. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013021.png ; $\mathfrak h $ ; confidence 0.644
  
285. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120180/w1201803.png ; $R _ { + } ^ { N } = \{ t = ( t _ { 1 } , \dots , t _ { N } ) : t _ { i } \geq 0 \}$ ; confidence 0.644
+
285. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120180/w1201803.png ; $\mathbf R _ { + } ^ { N } = \{ t = ( t _ { 1 } , \dots , t _ { N } ) : t _ { i } \geq 0 \}$ ; confidence 0.644
  
286. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130050/l13005011.png ; $( a _ { k } ) _ { k } > 0$ ; confidence 0.644
+
286. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130050/l13005011.png ; $( a _ { k } ) _ { k \geq 0}$ ; confidence 0.644
  
 
287. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033680/d03368013.png ; $B ( F )$ ; confidence 0.644
 
287. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033680/d03368013.png ; $B ( F )$ ; confidence 0.644
  
288. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o13006070.png ; $\operatorname { det } ( \lambda _ { 1 } \sigma _ { 2 } - \lambda _ { 2 } \sigma _ { 1 } + \gamma ) = \operatorname { det } ( \lambda _ { 1 } \sigma _ { 2 } - \lambda _ { 2 } \sigma _ { 1 } + \overline { \gamma } )$ ; confidence 0.644
+
288. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o13006070.png ; $\operatorname { det } ( \lambda _ { 1 } \sigma _ { 2 } - \lambda _ { 2 } \sigma _ { 1 } + \gamma ) = \operatorname { det } ( \lambda _ { 1 } \sigma _ { 2 } - \lambda _ { 2 } \sigma _ { 1 } + \widetilde { \gamma } ).$ ; confidence 0.644
  
289. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120360/b12036017.png ; $P ( p _ { x } , p _ { y } , p _ { z } ) d p _ { x } d p _ { y } d p _ { z }$ ; confidence 0.644
+
289. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120360/b12036017.png ; $\mathsf P ( p _ { x } , p _ { y } , p _ { z } ) d p _ { x } d p _ { y } d p _ { z }$ ; confidence 0.644
  
290. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130010/f1300101.png ; $Z [ x ]$ ; confidence 0.644
+
290. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130010/f1300101.png ; $\mathbf Z [ x ]$ ; confidence 0.644
  
291. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110100/b110100276.png ; $112$ ; confidence 0.644
+
291. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110100/b110100276.png ; $1/2$ ; confidence 0.644
  
292. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130090/b13009011.png ; $W _ { 2 } ^ { S } ( R _ { X } ) = H ^ { S } ( R _ { X } )$ ; confidence 0.644
+
292. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130090/b13009011.png ; $W _ { 2 } ^ { s } ( \mathbf R _ { x } ) = H ^ { s } ( \mathbf R _ { x } )$ ; confidence 0.644
  
293. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120550/b12055050.png ; $C * ( M )$ ; confidence 0.644
+
293. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120550/b12055050.png ; $C_{ * } ( M )$ ; confidence 0.644
  
 
294. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042020/f042020108.png ; $X ^ { \prime \prime }$ ; confidence 0.643
 
294. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042020/f042020108.png ; $X ^ { \prime \prime }$ ; confidence 0.643
  
295. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240358.png ; $E ( Z _ { 1 } ) = \Theta$ ; confidence 0.643
+
295. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240358.png ; $\mathsf E ( \mathbf Z _ { 1 } ) = \Theta$ ; confidence 0.643
  
296. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006028.png ; $D ( A ) = \{ u \in [ H ^ { 1 } ( \Omega ] ^ { p } : u ( x ) \in P ( x ) \text { a.e. on } \partial \Omega \}$ ; confidence 0.643
+
296. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006028.png ; $D ( \mathcal{A} ) = \left\{ u \in [ H ^ { 1 } ( \Omega ] ^ { p } : u ( x ) \in P ( x ) \text { a.e. on } \partial \Omega \right\}.$ ; confidence 0.643
  
297. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080170.png ; $\partial _ { \alpha } A = 0 \text { and } \partial \overline { A } = ( 1 / \kappa ) A \mu _ { \alpha } ^ { 0 }$ ; confidence 0.643
+
297. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080170.png ; $\partial _ { a } A = 0 \text { and } \partial \overline { A } = ( 1 / \kappa ) A \mu _ { a } ^ { 0 }.$ ; confidence 0.643
  
298. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120040/l12004026.png ; $\Delta t ^ { R }$ ; confidence 0.643
+
298. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120040/l12004026.png ; $\Delta t ^ { n }$ ; confidence 0.643
  
299. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023110/c023110151.png ; $K = z$ ; confidence 0.643
+
299. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023110/c023110151.png ; $K = \mathbf Z$ ; confidence 0.643
  
300. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a01406046.png ; $S$ ; confidence 0.643
+
300. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a01406046.png ; $s_i$ ; confidence 0.643

Revision as of 21:51, 14 May 2020

List

1. i13005094.png ; $q \in L _ { 1,2 } : = \left\{ q : q = \overline { q } , \int _ { - \infty } ^ { \infty } ( 1 + x ^ { 2 } ) | q ( x ) | d x < \infty \right\}.$ ; confidence 0.659

2. n06663075.png ; $\Omega ^ { k } ( f ^ { ( s ) } , \delta ) \leq M \delta ^ { r - s } , \quad \delta > 0,$ ; confidence 0.659

3. f13009017.png ; $j = 1 , \dots , n - 1$ ; confidence 0.659

4. q13002018.png ; $P | \phi \rangle / \| P | \phi \rangle \|$ ; confidence 0.659

5. l06005093.png ; $\square ^ { 1 } S _ { m }$ ; confidence 0.659

6. s1202808.png ; $\mathbf{E} = \{ E _ { n } , \sigma : \Sigma E _ { n } \rightarrow E _ { n + 1} \}$ ; confidence 0.659

7. w12011038.png ; $\mathcal{S} ^ { * }$ ; confidence 0.659

8. v120020218.png ; $\kappa ( F , \overline { D } \square ^ { n + 1 } ) = k$ ; confidence 0.659

9. e120260103.png ; $S = X _ { 1 } + \ldots + X _ { n }$ ; confidence 0.659

10. n067520394.png ; $Q \in N$ ; confidence 0.659

11. i120080116.png ; $\gamma = 7 / 4$ ; confidence 0.659

12. b12029024.png ; $x \mapsto \varepsilon _ { x } ^ { \mathcal{C}U } ( f )$ ; confidence 0.659

13. m06442032.png ; $Z \in H$ ; confidence 0.659

14. m130260219.png ; $x _ { n } \leq y _ { n }$ ; confidence 0.659

15. b1200107.png ; $\Sigma ^ { \prime }$ ; confidence 0.659

16. e11008055.png ; $n = 2,3 , \dots$ ; confidence 0.659

17. i12001025.png ; $\Phi _ { 2 }$ ; confidence 0.659

18. d03059031.png ; $y _ { 1 } , \ldots , y _ { n }$ ; confidence 0.659

19. a12026014.png ; $\hat{y}$ ; confidence 0.658

20. d13013016.png ; $\mathbf B = \nabla \times \mathbf A ^ { + }$ ; confidence 0.658

21. h11006021.png ; $D \subset \mathbf R ^ { d }$ ; confidence 0.658

22. m12013025.png ; $f ( N_{ *} ) = 0$ ; confidence 0.658

23. g13006072.png ; $a _ { i , j } \neq 0$ ; confidence 0.658

24. f13029087.png ; $( X , \mathcal{T} )$ ; confidence 0.658

25. i13007031.png ; $\alpha \in S ^ { 2 }$ ; confidence 0.658

26. t13014088.png ; $Q = ( Q _ { 0 } , Q _ { 1 } )$ ; confidence 0.658

27. c12004059.png ; $\sigma = \frac { ( n - 1 ) ! } { ( 2 \pi i ) ^ { n } } \sum _ { j = 1 } ^ { n } ( - 1 ) ^ { j - 1 } \rho ^ { \prime } d \rho ^ { \prime } [ j ] \bigwedge d\zeta .$ ; confidence 0.658

28. n12011031.png ; $x \in K_j $ ; confidence 0.658

29. g120040144.png ; $G ^ { t }$ ; confidence 0.658

30. e12023079.png ; $\mathcal E ( L ) = ( \mathcal E ^ { 1 } ( L ) , \ldots , \mathcal E ^ { m } ( L ) )$ ; confidence 0.658

31. t12020030.png ; $g _ 2 ( k ) = \sum _ { j = 1 } ^ { n } b _ { j } z _ { j } ^ { k } \phi ( z _ { j } )$ ; confidence 0.658

32. d0302506.png ; $s = 0 , \dots , n - 1$ ; confidence 0.658

33. h11010016.png ; $J _ {i j }$ ; confidence 0.658

34. d12003064.png ; $f \in \operatorname{DB} _ { 1 }$ ; confidence 0.658

35. f13010064.png ; $\varphi \in C _ { 00 } ( G ; \mathbf C )$ ; confidence 0.658

36. m11011019.png ; $\Gamma ( b _ { j } - s )$ ; confidence 0.658

37. d13006012.png ; $\sum _ { A \in 2 ^ \Xi } m ( A ) = 1$ ; confidence 0.658

38. f120230103.png ; $\operatorname{Der} \Omega ( M )$ ; confidence 0.657

39. m12023032.png ; $\partial f ( x ) = \partial _ { c } \left( f + ( 2 T ) ^ { - 1 } \| \cdot \| ^ { 2 } \right) ( x ) - T ^ { - 1 } x , \quad x \in H,$ ; confidence 0.657

40. e13004045.png ; $( \Omega _ { + } - 1 ) g _ { 0 } \psi ( t ) =$ ; confidence 0.657

41. e0350008.png ; $N _ { \epsilon } ( C , X ) = \operatorname { inf } \left\{ n : \exists x _ { 1 } , \ldots , x _ { n } , x _ { i } \in X : C \subset \bigcup _ { i = 1 } ^ { n } B ( x _ { i } , \epsilon ) \right\}$ ; confidence 0.657

42. a12015013.png ; $\operatorname { Ker } ( \operatorname{Ad} )$ ; confidence 0.657

43. l13006015.png ; $\a \equiv 5 ( \operatorname { mod } 8 )$ ; confidence 0.657

44. d12011010.png ; $\operatorname { lim } _ { n \rightarrow \infty } \operatorname { sup } f \left( \sum _ { j \in I \bigcap [ 1 , n ] } x _ { j } \right) .$ ; confidence 0.657

45. k1200408.png ; $\Lambda _ { D _ { + } } ( a , x ) + \Lambda _ { D _ { - } } ( a , x ) = x ( \Lambda _ { D _ { 0 } } ( a , x ) + \Lambda _ { D _ { \infty } } ( a , x ) ).$ ; confidence 0.657

46. l12015013.png ; $x \in A \mapsto [ x , a ] \in A$ ; confidence 0.657

47. a12022034.png ; $0 \leq S \leq T \in \mathcal L ( X )$ ; confidence 0.657

48. b130120120.png ; $F \in \operatorname { Lip } 1$ ; confidence 0.657

49. a12011013.png ; $\varphi ( 3,3,3 ) = 3 ^ { 3 ^ { 3 ^ { 3 } } }$ ; confidence 0.657

50. b13025047.png ; $C ^ { \prime _{ AB}}$ ; confidence 0.657

51. a12013025.png ; $H ( \theta , X ) = X - \alpha$ ; confidence 0.657

52. a12005021.png ; $s \in [ 0 , T]$ ; confidence 0.657

53. j120020193.png ; $Y _ { t } = h ( B _ { \operatorname { min } ( t , \tau )} )$ ; confidence 0.657

54. d11022046.png ; $0 = r _ { 0 } < r _ { 1 } < \ldots < r _ { m } = n - 1$ ; confidence 0.657

55. b13026044.png ; $y \notin f ( \overline { \Omega } \backslash ( \Omega _ { 1 } \cup \Omega _ { 2 } ) )$ ; confidence 0.656

56. j130040113.png ; $\operatorname { lk } ( L )$ ; confidence 0.656

57. a130040320.png ; $\epsilon _ { i , 0 } ( x , y , z , w ) \approx \epsilon _ { i , 1 } ( x , y , z , w )$ ; confidence 0.656

58. a120180100.png ; $u _ { 0 } = x _ { n },$ ; confidence 0.656

59. e120190172.png ; $W^{-}$ ; confidence 0.656

60. k0550606.png ; $\omega = i \partial \overline { \partial } p = i \sum \frac { \partial ^ { 2 } p } { \partial z _ { \alpha } \partial \overline{z} _ { \beta } } d z _ { \alpha } \bigwedge d \overline{z} _ { \beta },$ ; confidence 0.656

61. b11074032.png ; $A _ { j }$ ; confidence 0.656

62. t13009016.png ; $( \pi _ { X } , \rho _ { X } ) : T _ { X } \cap Y \rightarrow X \times ]0 , \infty [$ ; confidence 0.656

63. z130110130.png ; $\mu _ { N _ { k } } ( x ) = \sum _ { i = 1 } ^ { k } \mu _ { i N _ { i } } ( x )$ ; confidence 0.656

64. d1300503.png ; $0 \leq r \leq m / 2 - 1$ ; confidence 0.656

65. n12011039.png ; $h _ { j } ^ { * }$ ; confidence 0.656

66. f130090108.png ; $H _ { n , r } ^ { ( k ) } ( \mathbf x )$ ; confidence 0.656

67. q12003023.png ; $X \in \mathcal U _ { q } ( \mathfrak { g } )$ ; confidence 0.656

68. g043800105.png ; $G / K$ ; confidence 0.655

69. a13004098.png ; $\varphi \in S$ ; confidence 0.655

70. a011600233.png ; $K _ { p }$ ; confidence 0.655

71. w12007039.png ; $\rho ( p , q , t ) = e ^ { i ( p \mathcal D + q \mathcal X + t l ) }$ ; confidence 0.655

72. b13006069.png ; $V ^ { \text{H} }$ ; confidence 0.655

73. g130040141.png ; $\mathcal F _ { K } ( S _ { 1 } , S _ { 2 } ) = \operatorname { inf } \{ \mathbf M ( U ) + \mathbf M ( V ) : U + \partial V = S _ { 1 } - S _ { 2 } \},$ ; confidence 0.655

74. a13032052.png ; $\mathsf E ( N ) = 4 JK$ ; confidence 0.655

75. a12016018.png ; $\{ u_i ( t ) \}$ ; confidence 0.655

76. f12017019.png ; $G = * A _ { i } / N ( r )$ ; confidence 0.655

77. t1302109.png ; $u ( b ) = u _ { b }$ ; confidence 0.655

78. p12014057.png ; $N ( x )$ ; confidence 0.655

79. c02211015.png ; $\mathsf P \{ \chi _ { k - 1 } ^ { 2 } \geq \chi _ { k - 1 } ^ { 2 } ( \alpha ) \} = \alpha .$ ; confidence 0.655

80. s13064067.png ; $a = 1 + k = \operatorname { exp } ( s )$ ; confidence 0.655

81. d13003024.png ; $0 < C _ { \psi } = 2 \pi \int _ { 0 } ^ { \infty } \frac { | \widehat { \psi } ( a \omega ) | ^ { 2 } } { a } d a < \infty ,$ ; confidence 0.655

82. b1204208.png ; $\Phi _ { V , W , Z } : ( V \bigotimes W ) \bigotimes Z \rightarrow V \bigotimes ( W \bigotimes Z )$ ; confidence 0.655

83. c02681011.png ; $Y _ { 1 } , \ldots , Y _ { n }$ ; confidence 0.655

84. b12034020.png ; $K _ { n } ( D ^ { \circ } )$ ; confidence 0.655

85. e1202008.png ; $d ( C _ { i } , C _ { j } ) = \sqrt { \sum _ { k = 1 } ^ { r } ( x _ { j k } - x _ { i k } ) ^ { 2 } }$ ; confidence 0.655

86. m13025040.png ; $( \delta ( x ) , \text { vp } 1 / x ) \notin \mathcal M _ { 1 } ( \mathbf R )$ ; confidence 0.654

87. l05700022.png ; $\mathbf I \equiv \lambda x x$ ; confidence 0.654

88. a01024074.png ; $P_ i$ ; confidence 0.654

89. d12003071.png ; $f \in \operatorname{DB} _ { 1 } ^ { * }$ ; confidence 0.654

90. b12042015.png ; $( \otimes ) \otimes :\mathcal C \times \mathcal C \times \mathcal C \rightarrow \mathcal C$ ; confidence 0.654

91. j1300404.png ; $v ^ { - 1 } P _ { L _ { + } } ( v , z ) - v P _ { L_- } ( v , z ) = z P _ { L _ { 0 } } ( v , z ),$ ; confidence 0.654

92. b120130118.png ; $A _ { p , \alpha }$ ; confidence 0.654

93. s12030014.png ; $X ^ { h G } = \operatorname { Map } _ { G } ( E _ { G } , X )$ ; confidence 0.654

94. s12023084.png ; $\mathsf P ( | XX ^ { \prime } | = 0 ) = 0$ ; confidence 0.654

95. g12007034.png ; $\operatorname{Clif}( \mathb R ^ { m + 1 } )$ ; confidence 0.654

96. a1202406.png ; $\sum _ { p } v _ { p } ( f ) \operatorname { log } ( p ) + v _ { \infty } ( f ) = 0,$ ; confidence 0.654

97. s13066017.png ; $Q _ { n } ( z , \tau )$ ; confidence 0.654

98. b12017030.png ; $f \in L _ { \alpha } ^ { p }$ ; confidence 0.654

99. i13005031.png ; $f ( x , k ) = e ^ { i k x } + \int _ { y } ^ { \infty } A _ { + } ( x , y ) e ^ { i k y } d y,$ ; confidence 0.654

100. d120230114.png ; $R ( z , w ) = \sum _ { i , j = 0 } ^ { \infty } R _ { ij } z ^ { i } w ^ { * j }.$ ; confidence 0.654

101. b13026045.png ; $\operatorname { deg } _ { B } [ f , \Omega , y ] = \operatorname { deg } _ { B } [ f , \Omega _ { 1 } , y ] + \operatorname { deg } _ { B } [ f , \Omega _ { 2 } , y ]$ ; confidence 0.654

102. s13011020.png ; $f _ { s _ { i } w }$ ; confidence 0.654

103. i12005094.png ; $e ^ { w } ( T , V )$ ; confidence 0.653

104. a130040276.png ; $\Delta ( x , y ) = \{ \delta _ { 0 } ( x , y ) , \ldots , \delta _ { m - 1 } ( x , y ) \}$ ; confidence 0.653

105. l1200907.png ; $q _ { A } : A \rightarrow T M$ ; confidence 0.653

106. t13013048.png ; $\operatorname { Ext } _ { \Lambda } ^ { 1 } ( T , . ) : \mathcal F \rightarrow \mathcal X .$ ; confidence 0.653

107. e13003045.png ; $H ^ { \bullet } ( \partial ( \Gamma \backslash X ) , \widetilde { M } )$ ; confidence 0.653

108. v13007035.png ; $w \rightarrow \sigma = s + i t = e ^ { - ( w - \phi _ { 0 } ) \pi }$ ; confidence 0.653

109. q13003015.png ; $P _ { 0 } ^ { ( 1 ) } = P _ { 0 } \otimes I \otimes \ldots$ ; confidence 0.653

110. e12012054.png ; $\sum _ { i } f _ { i } h _ { i }$ ; confidence 0.653

111. s1202501.png ; $\{ E _ { n + 1} \}$ ; confidence 0.653

112. c120180400.png ; $C ^ { \infty } ( \widetilde { M } )$ ; confidence 0.653

113. s130620197.png ; $q ( x ) = \sum _ { n = 1 } ^ { \infty } f ( x - x _ { n } )$ ; confidence 0.653

114. c13014058.png ; $\forall 1 \leq i \leq r : R _ { i } \subseteq M ^ { 2 } \vee R _ { i } \bigcap M ^ { 2 } = \emptyset$ ; confidence 0.653

115. c120180481.png ; $( \widetilde { N } , \widetilde{g} )$ ; confidence 0.653

116. t1300504.png ; $e _ { 0 } \equiv 1$ ; confidence 0.653

117. e13004046.png ; $= ( \Omega _ { + } - 1 ) g _ { 0 } P _ { + } \psi ( t ) + ( \Omega _ { + } - 1 ) g _ { 0 } P _ { - } \psi ( t ).$ ; confidence 0.653

118. c120180159.png ; $g ^ { - 1 } ( \theta \otimes \varphi ) = \langle \theta , \gamma ^ { - 1 } ( \varphi ) \rangle \in \mathcal R $ ; confidence 0.653

119. t1202005.png ; $M _ { 1 } ( k ) = \operatorname { min } _ { j } | z _ { j } | ^ { k }$ ; confidence 0.653

120. m12013024.png ; $n ( t ) = N ( t ) - N_ {*}$ ; confidence 0.653

121. b12016038.png ; $A a$ ; confidence 0.653

122. d12005040.png ; $a \in [ - 1,1 ]$ ; confidence 0.653

123. j130040105.png ; $v \pm 1$ ; confidence 0.653

124. e12001055.png ; $E \cap M = \operatorname{Iso}$ ; confidence 0.653

125. a13020017.png ; $\{ K ( a , b ) \} _ { \operatorname{span} }$ ; confidence 0.653

126. n06696018.png ; $F _ { n } ( x ; \lambda ) = 0$ ; confidence 0.653

127. l11003049.png ; $Q \in \operatorname{ca} ( \Omega , \mathcal{F} )$ ; confidence 0.653

128. w120090160.png ; $\langle g x , y \rangle = \left\langle x , g ^ { T } y \right\rangle , \quad \forall g \in G,$ ; confidence 0.652

129. i13007015.png ; $r \rightarrow \infty , \frac { x } { r } = \alpha ^ { \prime },$ ; confidence 0.652

130. a11016049.png ; $\alpha _ { k }$ ; confidence 0.652

131. b13027029.png ; $\pi ( T )$ ; confidence 0.652

132. l120170214.png ; $\pi _ { 1 } ( K ) \rightarrow \pi _ { 1 } ( L )$ ; confidence 0.652

133. b130290137.png ; $G ( \mathfrak { q } ) = \oplus _ { n \geq 0} \mathfrak { q } ^ { n } / \mathfrak { q } ^ { n + 1 }$ ; confidence 0.652

134. p12012036.png ; $C _ { 1234 }$ ; confidence 0.652

135. f12024021.png ; $\operatorname { max } \{ m _ { 1 } , \dots , m _ { k } \} = m$ ; confidence 0.652

136. c12007077.png ; $Z \mathcal C $ ; confidence 0.652

137. s120150139.png ; $\varphi H G$ ; confidence 0.652

138. z13003040.png ; $( Z f ) ( t + 1 , w ) = e ^ { 2 \pi i w } ( Z f ) ( t , w ).$ ; confidence 0.652

139. s120320126.png ; $\varphi _ { 0 } : U \rightarrow V$ ; confidence 0.652

140. t13005010.png ; $E _ { i } \xi : = e _ { i } \xi$ ; confidence 0.652

141. m12007038.png ; $L ( s , E _ { 15 } )$ ; confidence 0.651

142. a130240462.png ; $t _ { 1 } , \ldots , t _ { p }$ ; confidence 0.651

143. e1201006.png ; $\mathbf E$ ; confidence 0.651

144. l120170137.png ; $C ^ { 2 } \times I$ ; confidence 0.651

145. b11021020.png ; $f : S \rightarrow S$ ; confidence 0.651

146. a12016052.png ; $N_ 0 $ ; confidence 0.651

147. q1200306.png ; $\operatorname{Fun}( G )$ ; confidence 0.651

148. i12006060.png ; $P \rightarrow \operatorname { PrSu } ( P )$ ; confidence 0.651

149. a0140704.png ; $\circ $ ; confidence 0.651

150. s13062053.png ; $\phi ( . , \lambda ) + m _ { 0 } ( \lambda ) \theta ( . , \lambda ) \in L ^ { 2 } ( 0 , \infty ),$ ; confidence 0.651

151. k055840321.png ; $J \dot{U} ( t ) = i H ( t ) U ( t )$ ; confidence 0.651

152. a130240137.png ; $\operatorname{B}$ ; confidence 0.651

153. a1202302.png ; $\partial D$ ; confidence 0.651

154. i13001058.png ; $n \leq 15$ ; confidence 0.651

155. a130240158.png ; $E ( y _ { i } ) = \eta _ { i }$ ; confidence 0.651

156. a1202304.png ; $\int _ { \partial D } f z _ { 1 } ^ { m } d z _ { 1 } = 0 , \quad m = 0,1 , \dots ,$ ; confidence 0.651

157. a120070126.png ; $v \mapsto u ( v )$ ; confidence 0.651

158. l120120122.png ; $\phi : V \rightarrow \mathbf A ^ { r }$ ; confidence 0.651

159. b13017019.png ; $B _ { t }$ ; confidence 0.651

160. p07101035.png ; $\alpha _ { 1 } \ldots \alpha _ { t }$ ; confidence 0.651

161. l06003052.png ; $b \| c$ ; confidence 0.651

162. f130100125.png ; $\left\{ \square _ { \chi } u : \chi \in \widehat { G } right\}$ ; confidence 0.651

163. d13008082.png ; $= \left\{ z \in \Delta : \operatorname { lim } _ { \omega \rightarrow a } [ \rho ( z , \omega ) - \rho ( 0 , \omega ) ] < \frac { 1 } { 2 } \operatorname { log } R \right\}$ ; confidence 0.651

164. c026010190.png ; $( \Omega , \mathcal F , \mathsf P )$ ; confidence 0.650

165. f0380706.png ; $\operatorname{I}$ ; confidence 0.650

166. a012980165.png ; $k = 0,1 , \ldots$ ; confidence 0.650

167. s1202505.png ; $0 < \int _ { a } ^ { b } h ( x ) d x < \infty$ ; confidence 0.650

168. e1202104.png ; $p _ { m } ( x )$ ; confidence 0.650

169. a13018069.png ; $\mathsf{CA} _ { \omega }$ ; confidence 0.650

170. e12014041.png ; $s , t \in T$ ; confidence 0.650

171. a12013035.png ; $\theta _ { n }$ ; confidence 0.650

172. n067520317.png ; $a ( y_j )$ ; confidence 0.650

173. c02305092.png ; $l \neq \text { char } k$ ; confidence 0.650

174. j13003024.png ; $a \square b ^ { * } : E \rightarrow E$ ; confidence 0.650

175. n06752012.png ; $M _ { m \times n } ( K )$ ; confidence 0.650

176. c12001090.png ; $E = \{ z \in \mathbf C ^ { n } : \rho ( z ) < 0 \}$ ; confidence 0.650

177. b13007017.png ; $\operatorname{BS} ( 2,3 ) = \langle a , b | a ^ { - 1 } b ^ { 2 } a = b ^ { 3 } \rangle$ ; confidence 0.650

178. i130090165.png ; $\Gamma = \operatorname { Gal } ( k _ { \chi , \infty } / k _ { \chi } ) \cong \operatorname { Gal } ( k _ { \chi } ( \mu _ { p } \infty ) / k _ { \chi } ( \mu _ { p } ) )$ ; confidence 0.650

179. s13053082.png ; $G = \operatorname{GL} _ { n } ( \mathbf{F} _ { q } )$ ; confidence 0.650

180. a01405026.png ; $B _ { 2 }$ ; confidence 0.650

181. b13001084.png ; $\operatorname{SL} ( 2 , \mathbf R )$ ; confidence 0.650

182. m13020028.png ; $\mathfrak { g } \ni X , Y \mapsto \{ j X , j Y \} - j ( [ X , Y ] )$ ; confidence 0.650

183. h11038025.png ; $x \in \mathbf R ^ { 2 }$ ; confidence 0.650

184. s12020050.png ; $\sigma t $ ; confidence 0.650

185. c120210136.png ; $\{ P _ { n , \theta _ { n }} \}$ ; confidence 0.650

186. e12014064.png ; $r = t$ ; confidence 0.650

187. d12018087.png ; $\mathbf R _ { d}$ ; confidence 0.649

188. b12016037.png ; $( A A , a a )$ ; confidence 0.649

189. z130110128.png ; $N _ { i k }$ ; confidence 0.649

190. s12005071.png ; $K _ { S } ( w , z )$ ; confidence 0.649

191. h046010154.png ; $\operatorname{Wh} \pi _ { 1 } T ^ { 4 } = 0$ ; confidence 0.649

192. e12024086.png ; $K _ { 2 n - 2 } ( \mathbf Q )$ ; confidence 0.649

193. f13009029.png ; $n = 0,1 , \ldots$ ; confidence 0.649

194. n1300303.png ; $u ( x , 0 ) = u_ 0 ( x )$ ; confidence 0.649

195. e120190133.png ; $T \ni m$ ; confidence 0.649

196. f1300704.png ; $a _ { i } + a _ { i + 1 } = a _ { i + 2 }$ ; confidence 0.649

197. k13006056.png ; $| \mathcal F | = \left( \begin{array} { l } { x } \\ { k } \end{array} \right)$ ; confidence 0.649

198. c0232708.png ; $\overline { \overline { A } } = \overline { A }$ ; confidence 0.649

199. b130200178.png ; $\Lambda \in \mathfrak { h } ^ { * }$ ; confidence 0.649

200. z13011066.png ; $f _{( k , n )} \sim A k ^ { - ( 1 + q ) }$ ; confidence 0.649

201. f13001048.png ; $O ^ { \sim } ( n \operatorname { log } q )$ ; confidence 0.649

202. f04049010.png ; $x = [ ( \nu _ { 1 } - 2 ) / \nu _ { 1 } ] . [ \nu _ { 2 } / ( \nu _ { 2 } + 2 ) ]$ ; confidence 0.649

203. p12011039.png ; $\overset{\rightharpoonup} { e }$ ; confidence 0.649

204. c120180373.png ; $q_ 1 + \ldots + q_ m > 0$ ; confidence 0.649

205. e12012086.png ; $L ( \mu , \Sigma | Y _ { \operatorname{aug} } ) = \prod _ { i = 1 } ^ { n } f ( y _ { i } | \mu , \Sigma , \nu , q _ { i } ) f ( q _ { i } | \nu )$ ; confidence 0.649

206. w120110130.png ; $a ( x , \xi , h )$ ; confidence 0.649

207. p1301409.png ; $p \in \mathbf R _ { + } : = [ 0 , \infty )$ ; confidence 0.649

208. d13013042.png ; $g = n \frac { \hbar } { 2 e } , \quad n = 0 , \pm 1 , \pm 2 , \ldots .$ ; confidence 0.649

209. e12016046.png ; $\partial _ { r } ( r J ^ { - 1 } \partial _ { r } J ) + \partial _ { z } ( r J ^ { - 1 } \partial _ { z } J ) = 0,$ ; confidence 0.648

210. w120090106.png ; $y _ { \lambda } = \sum _ { \pi \in C ( t ) } \operatorname { sg } ( \pi ) \pi ,$ ; confidence 0.648

211. b11061049.png ; $R ^ { n }$ ; confidence 0.648

212. b12020023.png ; $\theta ( z ) = b ( z ) . s ( z )$ ; confidence 0.648

213. w12019043.png ; $F = ( 2 \pi \hbar ) ^ { - 6 N } \int _ { \mathbf R ^ { 3 N } \times \mathbf R ^ { 3 N } } e ^ { i ( \sigma .X + r. P ) / \hbar } \phi ( \sigma , \tau ) d \sigma d \tau$ ; confidence 0.648

214. d120230107.png ; $C _ { l } = \left( \frac { u _ { i } v _ { j } ^ { * } } { f _ { i } - a _ { j } ^ { * } } \right) , u _ { i } , v _ { i } \in \mathcal C ^ { 1 \times r }.$ ; confidence 0.648

215. h13013015.png ; $e ^ { i \mathbf k . \mathbf x }$ ; confidence 0.648

216. b12051081.png ; $H _ { + } ^ { - 1 } = \left( I - \frac { s y ^ { T } } { y ^ { T } s } \right) H _ { c } ^ { - 1 } \left( I - \frac { y s ^ { T } } { y ^ { T } s } \right) + \frac { s s ^ { T } } { y ^ { T } s }.$ ; confidence 0.648

217. p1201507.png ; $x \in X$ ; confidence 0.648

218. j13002011.png ; $X = \sum _ { A \in \mathcal S } I _ { A }$ ; confidence 0.648

219. z13007063.png ; $U \in v\operatorname{SGL} _ { 6 } ( \mathbf Z ( C _ { 6 } \times C _ { 6 } ) )$ ; confidence 0.648

220. t1301406.png ; $q_Q ( x ) = \sum _ { j \in Q _ { 0 } } x _ { j } ^ { 2 } - \sum _ { i , j \in Q _ { 0 } } d _ { i j } x _ { i } x _ { j },$ ; confidence 0.648

221. w120110261.png ; $a \in S ( m , G )$ ; confidence 0.648

222. w12012056.png ; $C \equiv 0$ ; confidence 0.648

223. l13001036.png ; $\| S _ { N } \| / N ^ { ( n - 1 ) / 2 }$ ; confidence 0.648

224. b12009037.png ; $( 1 + a ^ { 2 } ) \frac { d \tau } { \tau } = ( p _ { 3 } ( \xi , \tau ) - a i ) \frac { d \xi } { \xi },$ ; confidence 0.647

225. l12004083.png ; $0.2$ ; confidence 0.647

226. m120100110.png ; $\epsilon_{i + 1}$ ; confidence 0.647

227. b110220175.png ; $z _ { \mathcal D } : B ^ { m } ( X ) \rightarrow H _ { \mathcal M } ^ { 2 m + 1 } ( X_{ / \mathbf R} , \mathbf R ( m + 1 ) )$ ; confidence 0.647

228. n12002052.png ; $\widehat { m } = X$ ; confidence 0.647

229. a12006082.png ; $W \subset Y$ ; confidence 0.647

230. a13032025.png ; $\mathsf E _ { \theta } ( S _ { N } ) = \mathsf P _ { \theta } ( S _ { N } = 1 ) = 1 - \mathsf P _ { \theta } ( S _ { n } = 0 ) = 1 - ( 1 - \theta ) ^ { n }$ ; confidence 0.647

231. e120140107.png ; $( \exists x \varphi ( x ) ) = \varphi \left( \begin{array} { c } { x } \\ { \varepsilon x \varphi } \end{array} \right) \text { and } ( \forall x \varphi ( x ) ) = \varphi \left( \begin{array} { c } { x } \\ { \varepsilon x ( \neg \varphi ) } \end{array} \right),$ ; confidence 0.647

232. n06752091.png ; $M _ { m \times n } ( \widetilde{ K } )$ ; confidence 0.646

233. c12026015.png ; $U _ { 0 } ^ { n } = U _ { J } ^ { n } = 0 , \quad 1 \leq n \leq N,$ ; confidence 0.646

234. b120420149.png ; $V = k 1 \oplus \mathfrak g \subset U ( \mathfrak g )$ ; confidence 0.646

235. k12005019.png ; $\sum _ { j = 1 } ^ { t } \mu _ { * } ^ { - 1 } B _ { j } + \sum _ { k = 1 } ^ { s } D _ { k }$ ; confidence 0.646

236. b12043026.png ; $\operatorname{Ad} : B \otimes B \rightarrow B$ ; confidence 0.646

237. c12001069.png ; $E = E ^ { * * }$ ; confidence 0.646

238. c13008031.png ; $P _ { A }$ ; confidence 0.646

239. b130200136.png ; $( . | . )$ ; confidence 0.646

240. b13028033.png ; $\sum ^ { \infty } Z$ ; confidence 0.646

241. l1202009.png ; $m \geq n + 1$ ; confidence 0.646

242. d1301306.png ; $r , \theta , \phi$ ; confidence 0.646

243. e13003063.png ; $\operatorname{Eis} ( \omega , 0 )$ ; confidence 0.646

244. l120120125.png ; $x \in V ( M ^ { \prime } )$ ; confidence 0.646

245. s13014011.png ; $\lambda = ( \lambda _ { 1 } , \dots , \lambda _ { 2 m } )$ ; confidence 0.646

246. i13006046.png ; $F ( x ) : = \sum _ { j = 1 } ^ { J } s _ { j } e ^ { - k _ { j } x } + \frac { 1 } { 2 \pi } \int _ { - \infty } ^ { \infty } [ 1 - S ( k ) ] e ^ { i k x } d k.$ ; confidence 0.646

247. h12011032.png ; $B ( 0,1 ) \subseteq \mathbf C$ ; confidence 0.646

248. w12010032.png ; $\square ^ { \prime \prime } \Gamma _ { r k } ^ { t } = \{ \square _ { r k } ^ { t } \} - \frac { 1 } { 2 } g ^ { t s } ( \gamma _ { k } m _ { r s } + \gamma _ { r } m _ { s k } - \gamma _ { s } m _ { r k } ),$ ; confidence 0.646

249. l13001015.png ; $S _ { B } ( f ; x ) = \sum _ { k \in B } \widehat { f } ( k ) e ^ { i k x }.$ ; confidence 0.646

250. b13022033.png ; $\| u \| _ { p , m , T } = \sum _ { | \alpha | \leq m } \| D ^ { \alpha } u \| _ { p , T },$ ; confidence 0.645

251. s13047018.png ; $( T - \lambda l ) ^ { \nu ( \lambda ) } X$ ; confidence 0.645

252. c120080104.png ; $i , j \in \mathbf Z _ { + },$ ; confidence 0.645

253. d120020208.png ; $k \in R ^ { \prime }$ ; confidence 0.645

254. f13009086.png ; $\mathbf x = ( x _ { 1 } , \dots , x _ { k } )$ ; confidence 0.645

255. d12003053.png ; $x _ { n } \nearrow x _ { 0 }$ ; confidence 0.645

256. a12008011.png ; $\xi = ( \xi _ { 1 } , \ldots , \xi _ { m } ) \in \mathbf R ^ { m }$ ; confidence 0.645

257. k13007047.png ; $L^{1/2}$ ; confidence 0.645

258. g120040119.png ; $1 \leq s < s _ { 0 }$ ; confidence 0.645

259. o13001083.png ; $A ( \alpha ^ { \prime } , \alpha , k ) \approx - \frac { k ^ { 2 } V } { 4 \pi } ( 1 + \beta _ { p q } \alpha _ { q } \alpha _ { p } ^ { \prime } ) \text { if } \Gamma u = u _ { N } , k a \ll 1,$ ; confidence 0.645

260. w12008029.png ; $W ( q ^ { r } p ^ { s } ) = ( Q ^ { r } P ^ { s } )_S $ ; confidence 0.645

261. s12015035.png ; $g ( S ) \cap S \neq \emptyset$ ; confidence 0.645

262. a11030013.png ; $\theta _ { X } : ( T V , d ) \rightarrow C_{*} \Omega X$ ; confidence 0.645

263. z13011053.png ; $G _ { n } ( . )$ ; confidence 0.645

264. b130290190.png ; $k = R _ { 0 }$ ; confidence 0.645

265. f13024029.png ; $\left[ \left( \begin{array} { l } { a } \\ { b } \end{array} \right) \left( \begin{array} { l } { c } \\ { d } \end{array} \right) \left( \begin{array} { l } { e } \\ { f } \end{array} \right) \right] : =$ ; confidence 0.645

266. b12021078.png ; $\mu \in \mathfrak { h } ^ { * }$ ; confidence 0.645

267. p13009053.png ; $f ( x , t ) = \frac { 2 } { \omega _ { n } } \int _ { \mathbf{R} ^ { n - 1 } } \frac { t f ( y , 0 ) } { ( | x - y | ^ { 2 } + t ^ { 2 } ) ^ { n / 2 } } d y,$ ; confidence 0.645

268. a1100404.png ; $\kappa = 0$ ; confidence 0.645

269. b11022022.png ; $\operatorname { Re } ( s ) > 1 + i / 2$ ; confidence 0.645

270. w130080117.png ; $d S = Q d E$ ; confidence 0.645

271. e120240139.png ; $\square ( E , \mathbf Q )$ ; confidence 0.645

272. a1201005.png ; $S ( t ) = e ^ { - t A } = \sum _ { m = 0 } ^ { \infty } \frac { ( - t A ) ^ { m } } { m ! },$ ; confidence 0.645

273. g13002027.png ; $i = 1 , \ldots , d$ ; confidence 0.645

274. m12012052.png ; $0 \neq q \in C$ ; confidence 0.644

275. h04601095.png ; $\pi _ { 1 } = \mathbf Z _ { 5 }$ ; confidence 0.644

276. e03500089.png ; $\mathcal A _ { \epsilon }$ ; confidence 0.644

277. a130050197.png ; $\mathbf p ( n ) = a ( p ^ { n } )$ ; confidence 0.644

278. b11022034.png ; $a.b ^ { s }$ ; confidence 0.644

279. a01234028.png ; $i = 1 , \dots , r - 1$ ; confidence 0.644

280. g12004015.png ; $C ^ { \infty _ { 0 } } ( \Omega )$ ; confidence 0.644

281. t12006011.png ; $:= \frac { 3 } { 5 } \gamma \int _ { \mathbf R ^ { 3 } } \rho ( x ) ^ { 5 / 3 } d x - \int _ { \mathbf R ^ { 3 } } V ( x ) \rho ( x ) d x +$ ; confidence 0.644

282. l12009061.png ; $( P \times \mathfrak g ) / G$ ; confidence 0.644

283. b12030073.png ; $\sigma ( \mathcal A ) = \sigma _ { \operatorname{Bloch} } = \bigcup _ { m = 1 } ^ { \infty } \left[ \operatorname { min } _ { \eta \in Y ^ { \prime } } \lambda _ { m } ( \eta ) , \operatorname { max } _ { \eta \in Y ^ { \prime } } \lambda _ { m } ( \eta ) \right].$ ; confidence 0.644

284. a13013021.png ; $\mathfrak h $ ; confidence 0.644

285. w1201803.png ; $\mathbf R _ { + } ^ { N } = \{ t = ( t _ { 1 } , \dots , t _ { N } ) : t _ { i } \geq 0 \}$ ; confidence 0.644

286. l13005011.png ; $( a _ { k } ) _ { k \geq 0}$ ; confidence 0.644

287. d03368013.png ; $B ( F )$ ; confidence 0.644

288. o13006070.png ; $\operatorname { det } ( \lambda _ { 1 } \sigma _ { 2 } - \lambda _ { 2 } \sigma _ { 1 } + \gamma ) = \operatorname { det } ( \lambda _ { 1 } \sigma _ { 2 } - \lambda _ { 2 } \sigma _ { 1 } + \widetilde { \gamma } ).$ ; confidence 0.644

289. b12036017.png ; $\mathsf P ( p _ { x } , p _ { y } , p _ { z } ) d p _ { x } d p _ { y } d p _ { z }$ ; confidence 0.644

290. f1300101.png ; $\mathbf Z [ x ]$ ; confidence 0.644

291. b110100276.png ; $1/2$ ; confidence 0.644

292. b13009011.png ; $W _ { 2 } ^ { s } ( \mathbf R _ { x } ) = H ^ { s } ( \mathbf R _ { x } )$ ; confidence 0.644

293. b12055050.png ; $C_{ * } ( M )$ ; confidence 0.644

294. f042020108.png ; $X ^ { \prime \prime }$ ; confidence 0.643

295. a130240358.png ; $\mathsf E ( \mathbf Z _ { 1 } ) = \Theta$ ; confidence 0.643

296. a12006028.png ; $D ( \mathcal{A} ) = \left\{ u \in [ H ^ { 1 } ( \Omega ] ^ { p } : u ( x ) \in P ( x ) \text { a.e. on } \partial \Omega \right\}.$ ; confidence 0.643

297. w130080170.png ; $\partial _ { a } A = 0 \text { and } \partial \overline { A } = ( 1 / \kappa ) A \mu _ { a } ^ { 0 }.$ ; confidence 0.643

298. l12004026.png ; $\Delta t ^ { n }$ ; confidence 0.643

299. c023110151.png ; $K = \mathbf Z$ ; confidence 0.643

300. a01406046.png ; $s_i$ ; confidence 0.643

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/NoNroff/49. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/NoNroff/49&oldid=44537