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(AUTOMATIC EDIT of page 11 out of 16 with 300 lines: Updated image/latex database (currently 4546 images latexified; order by Confidence, ascending: False.)
(AUTOMATIC EDIT of page 11 out of 19 with 300 lines: Updated image/latex database (currently 5483 images latexified; order by Confidence, ascending: False.)
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== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060160/l06016034.png ; $\alpha = E X _ { 1 }$ ; confidence 0.670
+
1. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590585.png ; $\| x \| = \rho$ ; confidence 0.826
  
2. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240373.png ; $z _ { 1 }$ ; confidence 0.669
+
2. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016034.png ; $Q ( x _ { k } )$ ; confidence 0.825
  
3. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a011460108.png ; $x \in A ^ { p } ( X ) = A ^ { * } ( X ) \cap H ^ { 2 p } ( X )$ ; confidence 0.669
+
3. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047930/h04793027.png ; $x = [ u ]$ ; confidence 0.825
  
4. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073340/p07334022.png ; $/ t \rightarrow \lambda$ ; confidence 0.669
+
4. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052039.png ; $1 / 2 < | \alpha _ { n } | \leq 1$ ; confidence 0.825
  
5. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086940/s08694070.png ; $\| \eta ( \cdot ) \| ^ { 2 } = \int _ { 0 } ^ { \infty } | \eta ( t ) | ^ { 2 } d t$ ; confidence 0.669
+
5. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010252.png ; $\delta A = - r x ^ { * } / \| x \| _ { 2 } ^ { 2 }$ ; confidence 0.825
  
6. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012062.png ; $f ( z ) \neq 0 , f ( z ) \in A _ { 1 } ^ { * }$ ; confidence 0.669
+
6. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012071.png ; $( x ^ { * } , y ^ { * } , p ^ { * } )$ ; confidence 0.824
  
7. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036770/e03677051.png ; $f | _ { A } = \phi$ ; confidence 0.668
+
7. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012050.png ; $z | > 1$ ; confidence 0.823
  
8. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046010/h046010104.png ; $m \geq 3$ ; confidence 0.668
+
8. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035720/e0357202.png ; $\operatorname { lim } _ { k \rightarrow \infty } | \alpha _ { k } | ^ { 1 / k } = 0$ ; confidence 0.823
  
9. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240279.png ; $S = ( q F _ { \alpha ; q , n - \gamma } ) ^ { 1 / 2 }$ ; confidence 0.668
+
9. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075560/p075560134.png ; $( P . Q ) ! = ( P \times Q ) ! = ( P ! \times Q ! ) !$ ; confidence 0.823
  
10. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110020/i11002022.png ; $0 = + \infty$ ; confidence 0.667
+
10. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013056.png ; $A _ { 1 } ^ { ( 1 ) }$ ; confidence 0.822
  
11. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051070/i05107042.png ; $c ( I ) = \frac { 1 } { 2 }$ ; confidence 0.667
+
11. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016670/b01667071.png ; $n _ { 1 } = 9$ ; confidence 0.822
  
12. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094240/t09424015.png ; $\frac { a _ { 0 } } { 4 } x ^ { 2 } - \sum _ { k = 1 } ^ { \infty } \frac { a _ { k } \operatorname { cos } k x + b _ { k } \operatorname { sin } k x } { k ^ { 2 } }$ ; confidence 0.667
+
12. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063090/m06309023.png ; $r _ { 0 } ^ { * } + \sum _ { j = 1 } ^ { q } \beta _ { j } r _ { j } ^ { * } = \sigma ^ { 2 }$ ; confidence 0.822
  
13. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021077.png ; $P _ { 0 } \neq P _ { j }$ ; confidence 0.666
+
13. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110130/m11013041.png ; $\beta + \gamma \simeq \alpha . S ( t )$ ; confidence 0.822
  
14. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f12021069.png ; $= \frac { ( n _ { 1 } + l ) ! } { ! ! } ( \operatorname { log } z ) ^ { l } z ^ { \lambda _ { 2 } } + \ldots$ ; confidence 0.665
+
14. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004069.png ; $X ^ { * } = \Gamma \backslash D ^ { * }$ ; confidence 0.822
  
15. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040621.png ; $S _ { P } \Gamma$ ; confidence 0.665
+
15. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018017.png ; $20,21,22$ ; confidence 0.822
  
16. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017340/b01734029.png ; $C _ { \alpha }$ ; confidence 0.664
+
16. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022052.png ; $W ^ { T }$ ; confidence 0.822
  
17. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022370/c02237063.png ; $Q / Z$ ; confidence 0.664
+
17. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210116.png ; $d [ ( \omega ) ] = \alpha _ { 1 } + \ldots + \alpha _ { n }$ ; confidence 0.821
  
18. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074720/p07472020.png ; $\Gamma _ { F }$ ; confidence 0.663
+
18. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a1103006.png ; $H * \Omega X$ ; confidence 0.821
  
19. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086650/s086650167.png ; $Z _ { 24 }$ ; confidence 0.663
+
19. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043580/g04358023.png ; $f _ { \zeta } ( \lambda )$ ; confidence 0.821
  
20. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040543.png ; $h ( \xi ) \in C ( \{ h ( \theta _ { 0 } ) , \ldots , h ( \theta _ { n } - 1 ) \} )$ ; confidence 0.663
+
20. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059140/l0591406.png ; $T _ { x _ { 1 } } ( M ) \rightarrow T _ { x _ { 0 } } ( M )$ ; confidence 0.821
  
21. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020022.png ; $\psi = ( \psi _ { 1 } , \ldots , \psi _ { m } )$ ; confidence 0.662
+
21. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082050/r08205056.png ; $\partial \overline { R } _ { \nu }$ ; confidence 0.821
  
22. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010950/a01095099.png ; $X = \xi ^ { i }$ ; confidence 0.662
+
22. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016017.png ; $x \rightarrow F ( x ) = M ^ { - 1 } ( N x + b )$ ; confidence 0.821
  
23. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120070/c12007055.png ; $Ab ^ { Z C } \approx Ab ^ { C }$ ; confidence 0.662
+
23. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016068.png ; $\eta = \lambda _ { \operatorname { min } } / ( \lambda _ { \operatorname { max } } - \lambda _ { \operatorname { min } } )$ ; confidence 0.821
  
24. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n066630108.png ; $M _ { i } ^ { * } = c _ { i } \sum _ { j = 1 } ^ { n } M _ { j }$ ; confidence 0.662
+
24. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a1200605.png ; $\Omega = R ^ { m }$ ; confidence 0.820
  
25. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004079.png ; $c ^ { 2 }$ ; confidence 0.662
+
25. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015110/b01511035.png ; $U ( y ) = \int _ { \Gamma } f ( x ) d \beta _ { Y } ( x )$ ; confidence 0.820
  
26. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010138.png ; $D$ ; confidence 0.661
+
26. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016990/b0169909.png ; $\Omega _ { M } ( \rho ) \in V _ { M } ^ { V ^ { n } }$ ; confidence 0.820
  
27. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b12021075.png ; $\mathfrak { F } _ { \lambda }$ ; confidence 0.661
+
27. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021620/c02162091.png ; $c _ { q } ( \xi ) = \kappa ( \eta ^ { q } )$ ; confidence 0.820
  
28. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033570/d0335705.png ; $\alpha \sum _ { i \in I } b _ { i } = \sum _ { i \in I } a b _ { i }$ ; confidence 0.661
+
28. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d130060103.png ; $Z \in X$ ; confidence 0.820
  
29. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092600/t09260017.png ; $\theta ( z + \tau ) = \operatorname { exp } ( - 2 \pi i k z ) . \theta ( z )$ ; confidence 0.660
+
29. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035790/e03579057.png ; $\sum _ { n } ^ { - 1 }$ ; confidence 0.820
  
30. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010330/a01033017.png ; $r ^ { \prime }$ ; confidence 0.660
+
30. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a110220107.png ; $( L _ { 1 } , P _ { 1 } )$ ; confidence 0.819
  
31. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012120/a01212040.png ; $\alpha _ { i } + 1$ ; confidence 0.659
+
31. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006075.png ; $u \in D ( S ^ { 2 } )$ ; confidence 0.819
  
32. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025020/c02502055.png ; $r \uparrow 1$ ; confidence 0.659
+
32. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026460/c02646028.png ; $x _ { k + 1 } = x _ { k } - \alpha _ { k } p _ { k }$ ; confidence 0.819
  
33. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033630/d03363020.png ; $\operatorname { lim } _ { x \rightarrow \infty } e ^ { - x } \sum _ { n = 0 } ^ { \infty } \frac { s _ { n } x ^ { n } } { n ! }$ ; confidence 0.659
+
33. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076810/q07681026.png ; $\alpha = \operatorname { lim } _ { t \rightarrow 0 } \frac { P ( e ( t ) \geq 1 ) } { t }$ ; confidence 0.819
  
34. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120080/i120080116.png ; $\gamma = 7 / 4$ ; confidence 0.659
+
34. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040790.png ; $g = g ^ { \prime }$ ; confidence 0.819
  
35. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060820/l06082028.png ; $\Delta ^ { r + 1 } v _ { j } = \Delta ^ { r } v _ { j + 1 } - \Delta ^ { r } v _ { j }$ ; confidence 0.659
+
35. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010019.png ; $x \notin D ( A )$ ; confidence 0.819
  
36. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120110/n12011031.png ; $x \in K$ ; confidence 0.658
+
36. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a11022063.png ; $h _ { 1 } , h _ { 2 }$ ; confidence 0.818
  
37. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087320/s08732041.png ; $\mathfrak { R } _ { \mu } ( \Pi _ { 0 } ) = \operatorname { inf } _ { \Pi } \Re _ { \mu } ( \Pi )$ ; confidence 0.658
+
37. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022110/c02211060.png ; $\xi _ { 1 } ^ { 2 } + \ldots + \xi _ { k - m - 1 } ^ { 2 } + \mu _ { 1 } \xi _ { k - m } ^ { 2 } + \ldots + \mu _ { m } \xi _ { k - 1 } ^ { 2 }$ ; confidence 0.818
  
38. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022034.png ; $0 \leq S \leq T \in L ( X )$ ; confidence 0.657
+
38. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026430/c02643058.png ; $F [ f ^ { * } g ] = \sqrt { 2 \pi } F [ f ] F [ g ]$ ; confidence 0.818
  
39. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005021.png ; $s \in [ 0 , T$ ; confidence 0.657
+
39. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033850/d0338502.png ; $x \square ^ { j }$ ; confidence 0.818
  
40. 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
+
40. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051150/i051150191.png ; $p ^ { t } ( . )$ ; confidence 0.817
  
41. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004098.png ; $\varphi \in S$ ; confidence 0.655
+
41. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057110/l0571105.png ; $\{ \phi _ { n } \} _ { n = 1 } ^ { \infty }$ ; confidence 0.817
  
42. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043640/g04364030.png ; $K ( y ) = \operatorname { sgn } y . | y | ^ { \alpha }$ ; confidence 0.655
+
42. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081940/r08194033.png ; $G ( K ) \rightarrow G ( Q )$ ; confidence 0.817
  
43. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024074.png ; $P$ ; confidence 0.654
+
43. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055010.png ; $\phi ( g , x ) = \phi _ { g } ( x )$ ; confidence 0.817
  
44. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040276.png ; $\Delta ( x , y ) = \{ \delta _ { 0 } ( x , y ) , \ldots , \delta _ { m - 1 } ( x , y ) \}$ ; confidence 0.653
+
44. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240312.png ; $SS _ { e } = \sum _ { i j k } ( y _ { i j k } - y _ { i j } ) ^ { 2 }$ ; confidence 0.817
  
45. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110060/i11006080.png ; $T$ ; confidence 0.652
+
45. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012430/a01243088.png ; $f$ ; confidence 0.816
  
46. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120150/s120150139.png ; $\varphi H G$ ; confidence 0.652
+
46. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017340/b01734046.png ; $t _ { 0 } \in \partial S$ ; confidence 0.816
  
47. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240462.png ; $t _ { 1 } , \ldots , t _ { p }$ ; confidence 0.651
+
47. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055027.png ; $O ( n ) / ( O ( m ) \times O ( n - m ) )$ ; confidence 0.816
  
48. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240137.png ; $B$ ; confidence 0.651
+
48. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013042.png ; $( h _ { \theta } ^ { * } - \frac { I } { 2 } ) V + V ( h _ { \theta } ^ { * } - \frac { I } { 2 } ) ^ { T } = R ( \theta ^ { * } )$ ; confidence 0.816
  
49. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044910/g04491070.png ; $\sum _ { d ( e ) = Q } f _ { e }$ ; confidence 0.651
+
49. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052059.png ; $\overline { \operatorname { lim } } _ { k \rightarrow 0 } | A ( h ) | < \infty$ ; confidence 0.815
  
50. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240158.png ; $E ( y _ { i } ) = \eta _ { i }$ ; confidence 0.651
+
50. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021034.png ; $i ( \omega , \overline { \pi } ) = \sum _ { j = 1 } ^ { g } ( A _ { j } B _ { j } ^ { \prime } - B _ { j } A _ { j } ^ { \prime } ) = 0$ ; confidence 0.815
  
51. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110080/a11008012.png ; $c x < 0$ ; confidence 0.650
+
51. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087400/s087400105.png ; $\in \Theta _ { 0 } \beta _ { n } ( \theta ) \leq \alpha$ ; confidence 0.815
  
52. https://www.encyclopediaofmath.org/legacyimages/w/w110/w110070/w11007022.png ; $\| x \| _ { 1 }$ ; confidence 0.650
+
52. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040754.png ; $_ { R } , \mathfrak { M } ( r ) = \operatorname { mng } _ { P \cup R } , \mathfrak { M } ( \varphi _ { r } )$ ; confidence 0.815
  
53. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539018.png ; $\delta \rho ( \pi , \delta )$ ; confidence 0.650
+
53. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055066.png ; $B _ { G }$ ; confidence 0.815
  
54. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023270/c0232708.png ; $\overline { \overline { A } } = \vec { A }$ ; confidence 0.649
+
54. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022038.png ; $S , T \in L ( X )$ ; confidence 0.814
  
55. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539060.png ; $\delta _ { \epsilon } ^ { * }$ ; confidence 0.648
+
55. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021089.png ; $A _ { k } = \int _ { a _ { k } } \omega _ { 1 } , \quad B _ { k } = \int _ { b _ { k } } \omega _ { 1 }$ ; confidence 0.814
  
56. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016610/b01661046.png ; $\vec { u } = A _ { j } ^ { i } u ^ { j }$ ; confidence 0.648
+
56. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067850/n067850200.png ; $\operatorname { tr } _ { \sigma } A$ ; confidence 0.814
  
57. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130130/h13013015.png ; $e ^ { i k x }$ ; confidence 0.648
+
57. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085210/s08521047.png ; $q ^ { 6 } ( q ^ { 2 } - 1 ) ( q ^ { 6 } - 1 )$ ; confidence 0.814
  
58. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110080/c11008041.png ; $f$ ; confidence 0.647
+
58. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005014.png ; $t \in [ 0 , T ]$ ; confidence 0.814
  
59. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006082.png ; $W \subset Y$ ; confidence 0.647
+
59. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110370/a11037017.png ; $X _ { 2 }$ ; confidence 0.814
  
60. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036820/e03682019.png ; $B _ { \mu } ^ { 1 } \subset B \subset B _ { \mu } ^ { 2 }$ ; confidence 0.646
+
60. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010600/a01060011.png ; $C ^ { 2 }$ ; confidence 0.814
  
61. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087450/s087450208.png ; $I _ { T } ( \lambda ) = \frac { 1 } { 2 \pi T } | \int _ { 0 } ^ { T } e ^ { - i t \lambda } x ( t ) d t |$ ; confidence 0.646
+
61. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120090/f12009069.png ; $F \mu$ ; confidence 0.813
  
62. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020034.png ; $F : \mathfrak { D } \rightarrow \mathfrak { A }$ ; confidence 0.646
+
62. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050910/i05091079.png ; $Y _ { n k }$ ; confidence 0.813
  
63. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h047690116.png ; $G = SU ( k )$ ; confidence 0.645
+
63. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010670/a01067012.png ; $\tilde { \eta } = \eta + \zeta$ ; confidence 0.813
  
64. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085580/s08558099.png ; $\psi ( t ) = a * ( t ) g ( t ) +$ ; confidence 0.645
+
64. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005098.png ; $A ( . )$ ; confidence 0.813
  
65. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a1100404.png ; $k = 0$ ; confidence 0.645
+
65. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072370/p07237025.png ; $\underline { H } \square _ { f }$ ; confidence 0.812
  
66. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050197.png ; $p ( n ) = a ( p ^ { n } )$ ; confidence 0.644
+
66. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077380/r07738071.png ; $P \{ | \frac { K _ { n } } { n } - \frac { 1 } { 2 } | < \frac { 1 } { 4 } \} = 1 - 2 P \{ \frac { K _ { n } } { n } < \frac { 1 } { 4 } \} \approx 1 - \frac { 4 } { \pi } \frac { \pi } { 6 } = \frac { 1 } { 3 }$ ; confidence 0.812
  
67. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004067.png ; $\varphi _ { L }$ ; confidence 0.644
+
67. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010580/a01058018.png ; $a > 0$ ; confidence 0.812
  
68. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013021.png ; $h$ ; confidence 0.644
+
68. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008074.png ; $u \in L ^ { 2 } ( [ 0 , T ] ; H ^ { 2 } ( \Omega ) ) \cap H ^ { 2 } ( [ 0 , T ] ; L ^ { 2 } ( \Omega ) )$ ; confidence 0.811
  
69. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110060/e11006015.png ; $\Omega _ { * } ^ { SO }$ ; confidence 0.644
+
69. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001028.png ; $k ( A ) = \| A ^ { - 1 } \| A \|$ ; confidence 0.811
  
70. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076770/q07677043.png ; $X = x _ { 0 } + V$ ; confidence 0.644
+
70. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001035.png ; $SU ( 2 )$ ; confidence 0.811
  
71. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240358.png ; $E ( Z _ { 1 } ) = \Theta$ ; confidence 0.643
+
71. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064540/m0645406.png ; $m _ { G } = D ( u ) / 2 \pi$ ; confidence 0.811
  
72. 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
+
72. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120070/q12007060.png ; $R _ { q ^ { 2 } }$ ; confidence 0.811
  
73. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015660/b01566054.png ; $\alpha = ( k + 1 / 2 )$ ; confidence 0.643
+
73. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081160/r08116074.png ; $t + \tau$ ; confidence 0.811
  
74. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026390/c026390117.png ; $r _ { u } \times r _ { v } \neq 0$ ; confidence 0.643
+
74. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010195.png ; $\| ( \hat { \lambda } I - A ) ^ { - 1 } \delta A \| > 1$ ; confidence 0.810
  
75. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022060.png ; $w _ { \nu } = \operatorname { Re } w _ { \nu } + i \operatorname { Im } w _ { \nu }$ ; confidence 0.643
+
75. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a1201209.png ; $B = ( b _ { i j } )$ ; confidence 0.810
  
76. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024048.png ; $s \times p$ ; confidence 0.642
+
76. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001024.png ; $\delta x = A ^ { - 1 } ( - \delta A x - \delta A \delta x + \delta b )$ ; confidence 0.810
  
77. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041170/f041170108.png ; $\eta \in \operatorname { ln } t \Gamma ^ { \prime }$ ; confidence 0.642
+
77. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011620/a01162010.png ; $f ( x ) - P _ { n } ^ { 0 } ( x )$ ; confidence 0.810
  
78. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002028.png ; $X \times Y$ ; confidence 0.642
+
78. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051430/i05143039.png ; $\hat { \phi } ( x ) = \lambda \sum _ { i = 1 } ^ { n } C _ { i } \alpha _ { i } ( x ) + f ( x )$ ; confidence 0.810
  
79. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076800/q07680042.png ; $\nu _ { 1 } ^ { S }$ ; confidence 0.641
+
79. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010430/a01043018.png ; $= P \{ \tau ( H ) \leq t , \xi ( \tau ( H ) ) = h | \xi ( 0 ) = i \}$ ; confidence 0.810
  
80. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004055.png ; $\hat { \lambda } = [ L ]$ ; confidence 0.641
+
80. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130020/a1300202.png ; $T ; X \rightarrow X$ ; confidence 0.809
  
81. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004078.png ; $\Lambda \sim Z ^ { 4 }$ ; confidence 0.640
+
81. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029015.png ; $f _ { \alpha } : \alpha X \rightarrow \alpha Y$ ; confidence 0.809
  
82. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e12010015.png ; $f ^ { em } = q _ { f } E + \frac { 1 } { c } J \times B + ( \nabla E ) P + ( \nabla B ) M +$ ; confidence 0.640
+
82. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024061.png ; $k = 1 , \ldots , K$ ; confidence 0.809
  
83. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060830/l06083024.png ; $Q _ { i - 1 } / Q _ { i }$ ; confidence 0.640
+
83. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130030/b1300303.png ; $V ^ { \pm } \times V ^ { - } \times V ^ { \pm } \rightarrow V ^ { \pm }$ ; confidence 0.809
  
84. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040338.png ; $\lambda \in \Delta$ ; confidence 0.639
+
84. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110040/d1100407.png ; $S _ { p } ^ { n + p } ( c ) = \{ x \in R _ { p } ^ { n + p + 1 }$ ; confidence 0.809
  
85. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e036960198.png ; $y ^ { \prime } + \alpha _ { 1 } y = 0$ ; confidence 0.639
+
85. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031540/d03154015.png ; $G r$ ; confidence 0.809
  
86. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073960/p0739603.png ; $P ( x ) = a _ { 0 } + \alpha _ { 1 } x + \ldots + \alpha _ { n } x ^ { n }$ ; confidence 0.639
+
86. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076320/q07632017.png ; $j _ { X } : F ^ { \prime } \rightarrow F$ ; confidence 0.809
  
87. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076840/q076840293.png ; $G _ { l }$ ; confidence 0.639
+
87. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001069.png ; $b$ ; confidence 0.809
  
88. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080210/r08021055.png ; $F ( m ) = f _ { m } ( m )$ ; confidence 0.639
+
88. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028062.png ; $N P$ ; confidence 0.809
  
89. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024018.png ; $Z ]$ ; confidence 0.638
+
89. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040463.png ; $Fi _ { D } A$ ; confidence 0.809
  
90. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029058.png ; $( \alpha X , \pi X )$ ; confidence 0.638
+
90. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008061.png ; $\left( \begin{array} { c c } { 0 } & { - 1 } \\ { A ( t ) } & { 0 } \end{array} \right)$ ; confidence 0.808
  
91. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010020/a0100206.png ; $t$ ; confidence 0.637
+
91. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012066.png ; $\{ \mu _ { n } \}$ ; confidence 0.808
  
92. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015440/b01544026.png ; $X _ { 1 }$ ; confidence 0.637
+
92. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047930/h047930299.png ; $Z / p$ ; confidence 0.808
  
93. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023050/c02305085.png ; $cd _ { l } ( Spec A )$ ; confidence 0.637
+
93. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087280/s087280193.png ; $m = E X ( s )$ ; confidence 0.808
  
94. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041170/f04117079.png ; $f * g$ ; confidence 0.637
+
94. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a120070103.png ; $R ^ { n }$ ; confidence 0.807
  
95. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055850/k05585059.png ; $W _ { \alpha } ( B \supset C ) = T \leftrightarrows$ ; confidence 0.637
+
95. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110040/r11004022.png ; $k ^ { 2 } = k _ { c } ^ { 2 } + \frac { 3 } { 8 } \frac { \rho 2 g } { T \lambda _ { 0 } ^ { 2 } } ( 1 - \frac { \rho _ { 1 } } { \rho _ { 2 } } ) \epsilon ^ { 2 } + O ( \epsilon ^ { 3 } )$ ; confidence 0.807
  
96. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059160/l059160335.png ; $T _ { \Delta }$ ; confidence 0.636
+
96. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081430/r08143031.png ; $E / E ^ { \prime }$ ; confidence 0.807
  
97. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002019.png ; $D _ { 1 }$ ; confidence 0.636
+
97. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024027.png ; $Y = X B + E$ ; confidence 0.807
  
98. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004065.png ; $\varphi _ { L } : A \rightarrow P ( H ^ { 0 } ( A , L ) ^ { * } ) \simeq P _ { k } ^ { d } 1 ^ { d } 2 ^ { - 1 }$ ; confidence 0.636
+
98. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040385.png ; $\Omega \cup F = \cup _ { F \in F } \Omega F$ ; confidence 0.806
  
99. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040176.png ; $i = 1 , \ldots , 4$ ; confidence 0.636
+
99. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066490/n06649018.png ; $f ^ { - 1 } ( \alpha ) \cap \{ z : | z | \leq t \}$ ; confidence 0.806
  
100. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026580/c0265803.png ; $\eta _ { Y | X } ^ { 2 } = 1 - E [ \frac { D ( Y | X ) } { D Y } ]$ ; confidence 0.635
+
100. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052021.png ; $\| F _ { M } \| _ { E } \leq f ( n ) \| A \| _ { E }$ ; confidence 0.806
  
101. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086330/s086330106.png ; $\| x \| ^ { 2 } = \int _ { \sigma ( A ) } | f _ { \lambda } ( x ) | ^ { 2 } d \rho ( \lambda )$ ; confidence 0.635
+
101. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040311.png ; $\alpha , b , c , d \in A$ ; confidence 0.805
  
102. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040321.png ; $D$ ; confidence 0.635
+
102. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008065.png ; $v _ { 0 } = i A ( t ) ^ { 1 / 2 } u$ ; confidence 0.805
  
103. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240187.png ; $\| y - X b \| ^ { 2 }$ ; confidence 0.634
+
103. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680200.png ; $r$ ; confidence 0.805
  
104. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058470/l05847082.png ; $\mathfrak { g } = \mathfrak { a } + \mathfrak { n }$ ; confidence 0.634
+
104. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014140/a014140121.png ; $\sigma ( 1 ) = s$ ; confidence 0.805
  
105. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097670/w097670151.png ; $A _ { k + 1 } ( C )$ ; confidence 0.634
+
105. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130080/d130080108.png ; $F \in Hol ( D )$ ; confidence 0.805
  
106. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310114.png ; $G$ ; confidence 0.634
+
106. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076800/q07680012.png ; $T ^ { S }$ ; confidence 0.805
  
107. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001060.png ; $S ^ { 3 } / \Gamma$ ; confidence 0.633
+
107. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076860/q07686069.png ; $f _ { X } : V _ { X } \rightarrow V _ { X } ^ { \prime }$ ; confidence 0.805
  
108. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b0153905.png ; $\{ P _ { \theta } : \theta \in \Theta \}$ ; confidence 0.633
+
108. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110150/r11015028.png ; $M \dot { y } = f ( y )$ ; confidence 0.805
  
109. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110030/c11003017.png ; $v = u ^ { 2 } +$ ; confidence 0.633
+
109. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008065.png ; $g ( x ; m , s ) = \left\{ \begin{array} { l l } { \frac { 1 } { 2 s } \operatorname { exp } ( \frac { x - m } { s } ) } & { \text { for } x \leq m } \\ { \frac { 1 } { 2 s } \operatorname { exp } ( \frac { m - x } { s } ) } & { \text { for } x \geq m } \end{array} \right.$ ; confidence 0.804
  
110. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040830/f0408302.png ; $\omega = \alpha _ { 1 } \ldots \alpha _ { k }$ ; confidence 0.633
+
110. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005049.png ; $\leq B \sum _ { i = 1 } ^ { k } ( t - s ) ^ { \alpha _ { i } } | \lambda | ^ { \beta _ { i } - 1 } , \lambda \in S _ { \theta _ { 0 } } \backslash \{ 0 \} , \quad 0 \leq s \leq t \leq T$ ; confidence 0.804
  
111. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040232.png ; $E ( \varphi , \psi ) = \{ \epsilon _ { i } ( \varphi , \psi ) : i \in I \}$ ; confidence 0.632
+
111. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060131.png ; $F ^ { \# } ( n )$ ; confidence 0.804
  
112. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040797.png ; $C \in K$ ; confidence 0.632
+
112. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013016.png ; $8$ ; confidence 0.804
  
113. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240353.png ; $E ( Z _ { 3 } ) = 0$ ; confidence 0.631
+
113. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030280/d0302808.png ; $\tau _ { n } ( t ) = \frac { 1 } { 2 \pi } \frac { 2 ^ { 2 n } ( n ! ) ^ { 2 } } { ( 2 n ) ! } \operatorname { cos } ^ { 2 n } \frac { t } { 2 }$ ; confidence 0.804
  
114. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g043810381.png ; $C = \text { int } \Gamma$ ; confidence 0.630
+
114. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052062.png ; $q \leq 1$ ; confidence 0.804
  
115. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240438.png ; $1$ ; confidence 0.630
+
115. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007036.png ; $3 ^ { 3 } .5 .7,3 ^ { 2 } .5 ^ { 2 } .7,3 ^ { 2 } .5 .7 ^ { 2 }$ ; confidence 0.804
  
116. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018013.png ; $R$ ; confidence 0.629
+
116. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001089.png ; $| I - B A \| < 1$ ; confidence 0.804
  
117. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074100/p07410035.png ; $v _ { i } = \partial f / \partial t ^ { i }$ ; confidence 0.629
+
117. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110350/a11035025.png ; $\phi _ { \lambda } ( t )$ ; confidence 0.804
  
118. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020197.png ; $H ^ { n } ( S ^ { n } )$ ; confidence 0.629
+
118. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021040/c02104057.png ; $- u _ { 3 }$ ; confidence 0.803
  
119. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002055.png ; $( m ^ { 2 n } - m ^ { 2 n - 1 } ) \cdot \frac { m ^ { 2 n - 1 } + 1 } { m + 1 } )$ ; confidence 0.628
+
119. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a110220109.png ; $( L _ { 2 } , P _ { 2 } )$ ; confidence 0.802
  
120. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240516.png ; $R = V _ { 33 } ^ { - 1 } V _ { 32 }$ ; confidence 0.628
+
120. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210103.png ; $2 \pi i c$ ; confidence 0.802
  
121. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b120210104.png ; $\rho = ( 1 / 2 ) \sum _ { \alpha \in \Delta ^ { + } } \alpha$ ; confidence 0.628
+
121. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036770/e03677058.png ; $P ^ { \prime } ( C )$ ; confidence 0.802
  
122. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041310/f04131016.png ; $\eta = \frac { ( \alpha ^ { 2 } - \rho ^ { 2 } ) ^ { 1 / 2 } ( \alpha ^ { 2 } - \rho _ { 0 } ^ { 2 } ) ^ { 1 / 2 } } { \alpha }$ ; confidence 0.628
+
122. https://www.encyclopediaofmath.org/legacyimages/l/l061/l061160/l061160114.png ; $x _ { 0 } ( . ) : t _ { 0 } + R ^ { + } \rightarrow U$ ; confidence 0.802
  
123. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068250/o06825018.png ; $\operatorname { lim } _ { x \rightarrow x _ { 0 } } + 0$ ; confidence 0.628
+
123. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072670/p07267050.png ; $f ^ { \prime } ( O _ { X ^ { \prime } } ) = O _ { S ^ { \prime } }$ ; confidence 0.802
  
124. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076470/q07647062.png ; $S _ { 2 m + 1 } ^ { m }$ ; confidence 0.627
+
124. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076040/q07604075.png ; $\operatorname { arg } \operatorname { lim } _ { q \rightarrow r } Q _ { z } ( z ( q ) ) z ( q ) ^ { 2 }$ ; confidence 0.802
  
125. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240206.png ; $k ( X ) = r$ ; confidence 0.626
+
125. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076800/q07680048.png ; $\leq \nu _ { i } ^ { s }$ ; confidence 0.802
  
126. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005047.png ; $i = 1 , \ldots , k$ ; confidence 0.626
+
126. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l120120208.png ; $G ( K _ { p ^ { \prime } } )$ ; confidence 0.801
  
127. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240433.png ; $A \Theta B$ ; confidence 0.626
+
127. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072530/p072530183.png ; $I ( G _ { p } )$ ; confidence 0.801
  
128. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010080/a01008024.png ; $M$ ; confidence 0.626
+
128. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010270.png ; $\operatorname { min } _ { i } | \hat { \lambda } - \lambda _ { i } | \leq \operatorname { max } \{ r \psi , r ^ { 1 / r } \psi ^ { 1 / r } \}$ ; confidence 0.800
  
129. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042056.png ; $\Sigma ( A )$ ; confidence 0.626
+
129. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010068.png ; $u - \Delta u = f$ ; confidence 0.800
  
130. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013044.png ; $F _ { j k } =$ ; confidence 0.626
+
130. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020160/c02016022.png ; $K _ { X } K _ { X }$ ; confidence 0.800
  
131. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b120420115.png ; $U _ { q } ( \mathfrak { g } )$ ; confidence 0.626
+
131. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780429.png ; $\phi ^ { h } ( pt )$ ; confidence 0.800
  
132. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120260/c12026032.png ; $V _ { 0 } ^ { n } = V _ { j } ^ { n } = 0$ ; confidence 0.626
+
132. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038380/f03838022.png ; $C _ { 0 }$ ; confidence 0.800
  
133. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052550/i05255041.png ; $\omega ^ { \beta }$ ; confidence 0.626
+
133. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087820/s087820182.png ; $\| y \| = \operatorname { max } _ { i } | y _ { i } |$ ; confidence 0.800
  
134. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a0102203.png ; $z = ( z _ { 1 } , \ldots , z _ { p } )$ ; confidence 0.625
+
134. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110250/a11025015.png ; $1 / T$ ; confidence 0.800
  
135. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058360/l05836041.png ; $x \# y = x y + y x - \frac { 2 } { n + 1 } ( \operatorname { Tr } x y ) l$ ; confidence 0.625
+
135. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032013.png ; $T \approx f _ { y } ( t _ { m } , u _ { m } )$ ; confidence 0.800
  
136. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050770/i05077013.png ; $\phi _ { \alpha \alpha } = 1 _ { A _ { \alpha } }$ ; confidence 0.624
+
136. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010114.png ; $\operatorname { im } ( S ) = 7$ ; confidence 0.799
  
137. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090900/s09090090.png ; $V = V ( \infty ) = \{ x \in R ^ { n } : | x | > R \}$ ; confidence 0.624
+
137. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026010/c02601042.png ; $N = N _ { 0 }$ ; confidence 0.799
  
138. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a0101205.png ; $\{ \lambda _ { n } \}$ ; confidence 0.623
+
138. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058360/l058360142.png ; $P _ { 8 }$ ; confidence 0.799
  
139. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031910/d0319107.png ; $\dot { x } = f ( t )$ ; confidence 0.623
+
139. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067310/n06731043.png ; $B O$ ; confidence 0.799
  
140. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v12002064.png ; $d _ { k } = rd _ { Y } M _ { k }$ ; confidence 0.623
+
140. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097450/w09745039.png ; $j = g ^ { 3 } / g ^ { 2 }$ ; confidence 0.799
  
141. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024076.png ; $m = 1 + I + J + I J$ ; confidence 0.623
+
141. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040799.png ; $D \in K$ ; confidence 0.799
  
142. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010289.png ; $w _ { i j } = [ ( e ^ { \lambda _ { i } } - e ^ { \lambda _ { j } } ) / ( \lambda _ { i } - \lambda _ { j } ) ] | y ^ { i } , \delta A x ^ { j } \rangle$ ; confidence 0.622
+
142. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110330/a11033022.png ; $U _ { 0 } ^ { * * } = \emptyset$ ; confidence 0.798
  
143. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011390/a01139015.png ; $\mu _ { f } ( E ) = \int _ { E } f d x$ ; confidence 0.622
+
143. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001039.png ; $\Phi ^ { \alpha } ( Y ) = \nabla _ { Y } \xi ^ { \alpha }$ ; confidence 0.798
  
144. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040290/f04029031.png ; $G / G 1$ ; confidence 0.622
+
144. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021610/c02161069.png ; $\alpha _ { \nu } ( x ) \rightarrow b _ { \nu } ( x ^ { \prime } )$ ; confidence 0.798
  
145. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f120110126.png ; $F ( z ) = - \frac { 1 } { 2 \pi i } \int \frac { \operatorname { exp } e ^ { \zeta ^ { 2 } } } { \zeta - z } d \zeta$ ; confidence 0.622
+
145. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003022.png ; $w \mapsto ( w ^ { * } \varphi _ { \lambda } ) _ { \lambda \in \Lambda }$ ; confidence 0.798
  
146. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087360/s087360228.png ; $P \{ s ^ { 2 } < \frac { \sigma ^ { 2 } x } { n - 1 } \} = G _ { n - 1 } ( x ) = D _ { n - 1 } \int _ { 0 } ^ { x } v ^ { ( n - 3 ) } / 2 e ^ { - v / 2 } d v$ ; confidence 0.622
+
146. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046300/h04630075.png ; $M _ { 0 } \times I$ ; confidence 0.798
  
147. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021018.png ; $\omega + \pi = ( p + q ) d z , \quad \alpha \omega = ( \alpha p ) d z$ ; confidence 0.622
+
147. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040298.png ; $A \in Q$ ; confidence 0.797
  
148. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010243.png ; $\operatorname { min } _ { i } | \hat { \lambda } - \lambda _ { i } | \leq k ( T ) \frac { \| r \| } { \| x \| }$ ; confidence 0.622
+
148. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012970/a012970176.png ; $d _ { 2 n - 1 } = d _ { 2 n }$ ; confidence 0.797
  
149. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006013.png ; $A \otimes B$ ; confidence 0.621
+
149. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020048.png ; $\alpha _ { i j } \neq 0$ ; confidence 0.797
  
150. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110400/b11040017.png ; $F . C _ { i j k } = I m$ ; confidence 0.621
+
150. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032490/d03249026.png ; $G$ ; confidence 0.797
  
151. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076530/q07653094.png ; $\square ^ { 01 } S _ { 3 } ^ { 1 }$ ; confidence 0.621
+
151. https://www.encyclopediaofmath.org/legacyimages/y/y110/y110010/y11001038.png ; $\| \phi _ { q } \| _ { q } = 1$ ; confidence 0.797
  
152. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011050/a01105018.png ; $f \times ( O _ { X } )$ ; confidence 0.620
+
152. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240535.png ; $k ( X _ { 2 } ) = p$ ; confidence 0.797
  
153. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164014.png ; $| K _ { i } | = | i K _ { V ^ { J } } |$ ; confidence 0.620
+
153. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130270/b13027070.png ; $B \otimes K ( H )$ ; confidence 0.796
  
154. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033430/d03343022.png ; $x \in D _ { B }$ ; confidence 0.620
+
154. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130030/m1300307.png ; $f ( z ^ { d } ) = f ( z ) - z$ ; confidence 0.796
  
155. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130090/f13009060.png ; $P ( N _ { k } = n ) = p ^ { n } F _ { n + 1 - k } ^ { ( k ) } ( \frac { q } { p } )$ ; confidence 0.620
+
155. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110370/a11037024.png ; $\{ t _ { k } : k \geq 1 \} \subset R _ { + }$ ; confidence 0.796
  
156. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g043780250.png ; $\hbar \square ^ { * } ( M )$ ; confidence 0.620
+
156. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a130070113.png ; $\alpha \in R$ ; confidence 0.795
  
157. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240333.png ; $n \times p _ { 1 }$ ; confidence 0.620
+
157. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240414.png ; $f ( Z _ { 1 } )$ ; confidence 0.795
  
158. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a1302401.png ; $y = X \beta + e$ ; confidence 0.620
+
158. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057450/l05745021.png ; $v \in C ( \overline { G } )$ ; confidence 0.795
  
159. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010120.png ; $x = A ^ { + } b + ( I - A ^ { + } A ) c$ ; confidence 0.620
+
159. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065580/m0655809.png ; $P ( x ) = \sum _ { k = 1 } ^ { n } \alpha _ { k } x ^ { \lambda _ { k } }$ ; confidence 0.795
  
160. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240346.png ; $q \times p$ ; confidence 0.619
+
160. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110230/p11023076.png ; $x \in R ^ { + }$ ; confidence 0.795
  
161. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012019.png ; $\sum _ { k = 0 } ^ { x - 1 } | \lambda _ { k + 1 } - \lambda _ { k } |$ ; confidence 0.619
+
161. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091080/s09108054.png ; $\sum _ { n < x } f ( n ) = R ( x ) + O ( x ^ { \{ ( \alpha + 1 ) ( 2 \eta - 1 ) / ( 2 \eta + 1 ) \} + \epsilon } )$ ; confidence 0.795
  
162. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a0112107.png ; $\operatorname { Ai } ( x )$ ; confidence 0.619
+
162. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012010.png ; $b _ { j }$ ; confidence 0.794
  
163. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013220/a0132202.png ; $F ( z ) = z + \alpha _ { 0 } + \frac { \alpha _ { 1 } } { z } + \ldots$ ; confidence 0.619
+
163. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007070.png ; $1 \leq m < n$ ; confidence 0.794
  
164. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120130/m12013029.png ; $= f ( N _ { * } ) + f ^ { \prime } ( N _ { * } ) n + \frac { f ^ { \prime \prime } ( N _ { * } ) } { 2 } n ^ { 2 } + \ldots$ ; confidence 0.619
+
164. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001099.png ; $\delta b$ ; confidence 0.794
  
165. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020550/c02055058.png ; $t \otimes _ { k } K$ ; confidence 0.618
+
165. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a110220112.png ; $\int _ { H } f d m = \int _ { \Omega } R _ { 1 } f d P _ { 1 } = \int _ { \Omega } R _ { 2 } f d P _ { 2 }$ ; confidence 0.794
  
166. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180182.png ; $\tau _ { 2 } \Theta = - \Theta$ ; confidence 0.618
+
166. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830278.png ; $u \leq \theta u$ ; confidence 0.794
  
167. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032450/d032450404.png ; $[ V ] = \operatorname { limsup } ( \operatorname { log } d _ { V } ( n ) \operatorname { log } ( n ) ^ { - 1 } )$ ; confidence 0.618
+
167. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068190/o0681907.png ; $T ( t ) x$ ; confidence 0.794
  
168. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006045.png ; $\| ( \lambda + A ( t _ { k } ) ) ^ { - 1 } \ldots ( \lambda + A ( t _ { 1 } ) ) ^ { - 1 } \| _ { L ( X ) } \leq \frac { M } { ( \lambda - \beta ) ^ { k } }$ ; confidence 0.617
+
168. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130040/q13004026.png ; $J _ { f } ( x ) \leq K l ( f ^ { \prime } ( x ) ) ^ { n }$ ; confidence 0.794
  
169. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010158.png ; $T ^ { n }$ ; confidence 0.616
+
169. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080620/r08062044.png ; $X = \| x _ { i } \|$ ; confidence 0.794
  
170. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030250/d03025016.png ; $u _ { n } + 1 - k$ ; confidence 0.616
+
170. https://www.encyclopediaofmath.org/legacyimages/y/y120/y120010/y120010139.png ; $R : X \times X \rightarrow \operatorname { End } _ { k } ( V \otimes _ { k } V )$ ; confidence 0.794
  
171. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072670/p0726706.png ; $\operatorname { sch } / S$ ; confidence 0.616
+
171. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032014.png ; $T = 0$ ; confidence 0.794
  
172. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120040/s120040125.png ; $\pi \Gamma$ ; confidence 0.616
+
172. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a0104607.png ; $\delta f ( a , )$ ; confidence 0.793
  
173. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240446.png ; $j = 1 , \ldots , p$ ; confidence 0.616
+
173. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240474.png ; $X _ { 1 }$ ; confidence 0.793
  
174. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018023.png ; $s _ { 0 } = \sigma _ { 0 } + i t _ { 0 }$ ; confidence 0.615
+
174. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240238.png ; $MS _ { e } = SS _ { e } / ( n - r )$ ; confidence 0.793
  
175. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040236.png ; $K ( x ) \approx L ( x ) = \{ \kappa _ { j } ( x ) \approx \lambda _ { j } ( x ) : j \in J \}$ ; confidence 0.615
+
175. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014190/a01419047.png ; $t _ { + } < + \infty$ ; confidence 0.793
  
176. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240450.png ; $H _ { j }$ ; confidence 0.615
+
176. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c13007063.png ; $g = 0 \Rightarrow c$ ; confidence 0.793
  
177. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021083.png ; $\omega = \omega _ { 2 } + \sum _ { j = 1 } ^ { n } c _ { j } \omega _ { j , 0 } + \sum _ { k = 1 } ^ { g } A _ { k } \phi _ { k }$ ; confidence 0.615
+
177. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047940/h04794088.png ; $e _ { i } : O ( \Delta _ { q - 1 } ) \rightarrow O ( \Delta _ { q } )$ ; confidence 0.793
  
178. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010106.png ; $G _ { 2 } / \operatorname { Sp } ( 1 ) , \quad F _ { 4 } / \operatorname { Sp } ( 3 ) , E _ { 6 } / SU ( 6 ) , \quad E _ { 7 } / \operatorname { Spin } ( 12 ) , \quad E _ { 8 } / E _ { 7 }$ ; confidence 0.614
+
178. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240310.png ; $\eta i$ ; confidence 0.793
  
179. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021074.png ; $c _ { 1 } + \ldots + c _ { x } = 0$ ; confidence 0.614
+
179. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010037.png ; $T _ { N } ( g )$ ; confidence 0.793
  
180. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050248.png ; $Z _ { G } ( - q ^ { - 1 } ) = 0$ ; confidence 0.613
+
180. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044350/g044350116.png ; $V ( \Re ) > 2 ^ { n } d ( \Lambda )$ ; confidence 0.792
  
181. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016160/b01616031.png ; $\hat { R } ( c )$ ; confidence 0.613
+
181. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093890/t09389045.png ; $o ( N ) / N \rightarrow 0$ ; confidence 0.792
  
182. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240254.png ; $6$ ; confidence 0.612
+
182. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028064.png ; $\chi ( G ) < \operatorname { girth } ( G )$ ; confidence 0.791
  
183. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073700/p073700127.png ; $m / m ^ { 2 }$ ; confidence 0.612
+
183. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120020/h1200207.png ; $\hat { \phi } ( j ) = \alpha$ ; confidence 0.791
  
184. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539054.png ; $+ \pi _ { 2 } p ( x | \theta _ { 2 } ) L ( \theta _ { 2 } , \delta ( x ) ) ] d \mu ( x )$ ; confidence 0.612
+
184. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093260/t09326056.png ; $d \Phi$ ; confidence 0.791
  
185. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130020/a13002018.png ; $x \in A$ ; confidence 0.612
+
185. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240453.png ; $q = 1$ ; confidence 0.790
  
186. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120040/b12004018.png ; $| x _ { y } \| \rightarrow 0$ ; confidence 0.611
+
186. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130040/t13004014.png ; $\tau x ^ { n }$ ; confidence 0.790
  
187. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130030/o13003024.png ; $\overline { P _ { 8 } }$ ; confidence 0.610
+
187. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240155.png ; $c ^ { \prime } \beta$ ; confidence 0.790
  
188. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006025.png ; $\{ B _ { 1 } , \ldots , B _ { J } \}$ ; confidence 0.610
+
188. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022011.png ; $\nu = 1 , \ldots , 2 p$ ; confidence 0.790
  
189. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021082.png ; $\phi _ { k }$ ; confidence 0.610
+
189. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006042.png ; $\beta _ { X } ( s )$ ; confidence 0.790
  
190. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010430/a01043016.png ; $h \in H$ ; confidence 0.608
+
190. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035660/e03566053.png ; $c ( n ) \| \mu \| _ { e } = \| U _ { \mu } \|$ ; confidence 0.789
  
191. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014190/a014190112.png ; $\dot { x } = A x$ ; confidence 0.608
+
191. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025640/c0256402.png ; $\{ \alpha _ { n } \} _ { n = 0 } ^ { \omega } \quad \text { and } \quad \{ b _ { n } \} _ { n = 1 } ^ { \omega }$ ; confidence 0.788
  
192. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050640/i05064012.png ; $\gamma = \operatorname { ind } _ { g } a$ ; confidence 0.608
+
192. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a0102207.png ; $C ^ { p }$ ; confidence 0.788
  
193. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l058510173.png ; $A _ { I l }$ ; confidence 0.608
+
193. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050290.png ; $G ^ { \# } ( n ) > 0$ ; confidence 0.787
  
194. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240231.png ; $a$ ; confidence 0.607
+
194. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420158.png ; $A _ { \theta }$ ; confidence 0.786
  
195. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012930/a01293027.png ; $L u \equiv \frac { \partial u } { \partial t } - \frac { \partial ^ { 2 } u } { \partial x ^ { 2 } } = 0$ ; confidence 0.607
+
195. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031680/d0316809.png ; $\Delta ^ { m } y _ { n } = \sum _ { k = 0 } ^ { m } ( - 1 ) ^ { m - k } \left( \begin{array} { c } { m } \\ { k } \end{array} \right) y _ { n + k }$ ; confidence 0.786
  
196. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044400/g04440032.png ; $d E$ ; confidence 0.607
+
196. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130130/p13013032.png ; $\lambda _ { 1 } > \ldots > \lambda _ { n } ( \lambda ) > 0$ ; confidence 0.786
  
197. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087450/s087450224.png ; $\frac { 1 } { 2 \pi } \sum _ { t = - T + 1 } ^ { T - 1 } e ^ { - i t \lambda } r ^ { * } ( t ) c T ( t )$ ; confidence 0.607
+
197. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090270/s0902702.png ; $\alpha < t < b$ ; confidence 0.786
  
198. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a0101804.png ; $S ( z ) = \sum _ { k = 0 } ^ { \infty } \alpha _ { k } ( z - b ) ^ { k }$ ; confidence 0.606
+
198. https://www.encyclopediaofmath.org/legacyimages/y/y120/y120010/y12001036.png ; $R _ { V } : V \otimes _ { k } V \rightarrow V \otimes _ { k } V$ ; confidence 0.786
  
199. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036850/e03685016.png ; $\overline { \Pi } _ { k } \subset \Pi _ { k + 1 }$ ; confidence 0.606
+
199. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040542.png ; $i < m$ ; confidence 0.786
  
200. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040402.png ; $SK$ ; confidence 0.606
+
200. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010710/a01071049.png ; $( M / Q _ { i } ) = p _ { i }$ ; confidence 0.785
  
201. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a130070121.png ; $n \equiv a ( \operatorname { mod } b )$ ; confidence 0.605
+
201. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240490.png ; $X _ { 2 }$ ; confidence 0.785
  
202. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050111.png ; $\beta$ ; confidence 0.604
+
202. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539032.png ; $d ^ { x }$ ; confidence 0.785
  
203. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240493.png ; $( 1 , t _ { j } , \ldots , t _ { j } ^ { k } ) ^ { \prime }$ ; confidence 0.604
+
203. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015210/b01521049.png ; $\alpha \in S _ { \alpha }$ ; confidence 0.784
  
204. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021180/c021180110.png ; $E \| X _ { k } \| ^ { 3 + \alpha } < \infty$ ; confidence 0.604
+
204. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130180/d13018088.png ; $\operatorname { lim } _ { n \rightarrow \infty } f g _ { n } = f$ ; confidence 0.784
  
205. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012034.png ; $f ( z ) \in A _ { r } ^ { \alpha }$ ; confidence 0.604
+
205. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110010/r110010322.png ; $j$ ; confidence 0.784
  
206. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539028.png ; $\int \int _ { \Theta } L ( \theta , \delta ( x ) ) P _ { \theta } ( d x ) \pi ( d \theta ) =$ ; confidence 0.604
+
206. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087550/s08755022.png ; $\alpha \leq p b$ ; confidence 0.784
  
207. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040667.png ; $L D S _ { P } =$ ; confidence 0.603
+
207. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012092.png ; $\sum _ { t = 0 } ^ { \infty } A ^ { t } c _ { t } = y _ { 0 }$ ; confidence 0.783
  
208. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032610/d0326107.png ; $a x + b y = 1$ ; confidence 0.602
+
208. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240367.png ; $M _ { E } = Z _ { 3 } ^ { \prime } Z _ { 3 }$ ; confidence 0.783
  
209. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036940/e03694044.png ; $p f$ ; confidence 0.602
+
209. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310159.png ; $\Omega$ ; confidence 0.783
  
210. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080142.png ; $T _ { n }$ ; confidence 0.602
+
210. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016079.png ; $[ M ^ { - 1 } A ] x = [ M ^ { - 1 } b ]$ ; confidence 0.783
  
211. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001066.png ; $| \delta x | \leq ( I - | A ^ { - 1 } \delta A | ) ^ { - 1 } ( | A ^ { - 1 } \delta A | x | + | A ^ { - 1 } \delta b | )$ ; confidence 0.602
+
211. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012160/a0121604.png ; $\phi = \operatorname { am } z$ ; confidence 0.783
  
212. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130220/a13022025.png ; $i : A \rightarrow X$ ; confidence 0.601
+
212. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081250/r08125011.png ; $H ( t ) = E N$ ; confidence 0.783
  
213. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110840/b11084049.png ; $X$ ; confidence 0.601
+
213. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020184.png ; $F : S ^ { n } \rightarrow K ( E ^ { n + 1 } \backslash \theta )$ ; confidence 0.783
  
214. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076840/q07684072.png ; $w ^ { S } ( u ) = \operatorname { sup } _ { v \leq u } ( X ( u ) - X ( v ) )$ ; confidence 0.601
+
214. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a11030027.png ; $X = * \cup \cup _ { \alpha \in A } e ^ { n _ { \alpha } + 1 }$ ; confidence 0.783
  
215. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150393.png ; $\{ p _ { i } ^ { - 1 } U _ { i } : U _ { i } \in \mu _ { i \square } \text { and } i \in I \}$ ; confidence 0.601
+
215. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018049.png ; $B = 1$ ; confidence 0.783
  
216. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021086.png ; $P$ ; confidence 0.601
+
216. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240180.png ; $= E ( y _ { i j k } )$ ; confidence 0.782
  
217. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037040/e03704077.png ; $\lambda < \alpha$ ; confidence 0.600
+
217. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010123.png ; $\sum _ { k = 1 } ^ { n } k ( n + 1 - k ) ( n + 1 - 2 k ) b _ { 2 k } = 0$ ; confidence 0.782
  
218. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044400/g04440029.png ; $\delta \varepsilon$ ; confidence 0.600
+
218. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420138.png ; $I \mapsto I$ ; confidence 0.782
  
219. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012980/a01298033.png ; $X = H$ ; confidence 0.599
+
219. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093160/t09316047.png ; $p _ { 1 } \otimes \sim p _ { 2 }$ ; confidence 0.782
  
220. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026870/c026870106.png ; $e _ { i } = \partial / \partial x ^ { i } | _ { p }$ ; confidence 0.599
+
220. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008039.png ; $D ( A ) = \{ u \in X : S ( . ) u \in C ^ { 2 } ( R ; X ) \}$ ; confidence 0.781
  
221. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240183.png ; $\eta i$ ; confidence 0.599
+
221. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040752.png ; $\varphi _ { r } \in Fm _ { P }$ ; confidence 0.781
  
222. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040168.png ; $h : F m \rightarrow A$ ; confidence 0.599
+
222. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050950/i05095025.png ; $= 2 \pi ^ { 3 } a ^ { 2 } \frac { ( n + 1 ) ( 2 n + 1 ) } { 3 n ^ { 2 } }$ ; confidence 0.781
  
223. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021040/c02104082.png ; $- w$ ; confidence 0.598
+
223. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008032.png ; $t \in R$ ; confidence 0.780
  
224. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051410/i051410114.png ; $\alpha ( \lambda ) = \alpha _ { - } ( \lambda ) \alpha _ { + } ( \lambda )$ ; confidence 0.598
+
224. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240147.png ; $\mu$ ; confidence 0.780
  
225. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021073.png ; $P _ { 1 } , \ldots , P _ { n }$ ; confidence 0.597
+
225. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010024.png ; $| x _ { 1 } - x _ { 2 } \| \leq \| x _ { 1 } - x _ { 2 } + \lambda ( y _ { 1 } - y _ { 2 } ) \|$ ; confidence 0.780
  
226. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050224.png ; $\sum _ { n \leq x } G ( n ) = A _ { G } x ^ { \delta } + O ( x ^ { \eta } ) \text { as } x \rightarrow \infty$ ; confidence 0.597
+
226. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a1203106.png ; $W ^ { * }$ ; confidence 0.779
  
227. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a1200606.png ; $\alpha ; ( x )$ ; confidence 0.597
+
227. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240309.png ; $\sum _ { i j k } ( y _ { i j k } - \eta _ { i j } ) ^ { 2 }$ ; confidence 0.779
  
228. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240315.png ; $SS _ { e } = y ^ { \prime } ( I _ { n } - X ( X ^ { \prime } X ) ^ { - 1 } X ^ { \prime } ) y$ ; confidence 0.596
+
228. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011780/a01178016.png ; $b a P$ ; confidence 0.779
  
229. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240193.png ; $\hat { \psi } = c ^ { \prime } \hat { \beta }$ ; confidence 0.596
+
229. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130150/t13015064.png ; $K ( L ^ { 2 } ( S ) )$ ; confidence 0.779
  
230. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085580/s085580113.png ; $K = \nu - \nu$ ; confidence 0.596
+
230. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010166.png ; $\hat { k } ( 2 \alpha + \beta )$ ; confidence 0.779
  
231. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240306.png ; $SS _ { e } = \| y - \hat { \eta } _ { \Omega } \| ^ { 2 }$ ; confidence 0.596
+
231. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008063.png ; $\frac { d } { d t } \left( \begin{array} { l } { v _ { 0 } } \\ { v _ { 1 } } \end{array} \right) =$ ; confidence 0.779
  
232. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040250.png ; $c = \square ^ { t } ( c _ { 1 } , \dots , c _ { k + m } ) \in C ^ { k + m }$ ; confidence 0.596
+
232. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050203.png ; $P$ ; confidence 0.779
  
233. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110080/a11008014.png ; $c _ { X } > 0$ ; confidence 0.595
+
233. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064550/m06455029.png ; $G \rightarrow R _ { + } ^ { * }$ ; confidence 0.778
  
234. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012550/a01255032.png ; $\Gamma _ { n } ^ { \alpha } ( H ) _ { \alpha } ^ { 8 }$ ; confidence 0.595
+
234. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240248.png ; $( q , n - r )$ ; confidence 0.777
  
235. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032890/d032890165.png ; $\operatorname { li } x / \phi ( d )$ ; confidence 0.594
+
235. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110610/b11061011.png ; $K ^ { * }$ ; confidence 0.777
  
236. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020086.png ; $\coprod _ { i \in I } U _ { i } , \quad U _ { i } = U$ ; confidence 0.594
+
236. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042120/f04212073.png ; $\frac { \partial w } { \partial z } + A ( z ) w + B ( z ) \overline { w } = F ( z )$ ; confidence 0.777
  
237. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013067.png ; $C [ t ] = C [ t _ { 1 } , t _ { 2 } , \ldots$ ; confidence 0.593
+
237. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066340/n06634090.png ; $x \in V _ { n }$ ; confidence 0.777
  
238. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240399.png ; $X _ { 3 }$ ; confidence 0.593
+
238. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080930/r08093013.png ; $\overline { A } z = \overline { u }$ ; confidence 0.777
  
239. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240194.png ; $8$ ; confidence 0.593
+
239. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240435.png ; $\operatorname { tr } ( N \Theta )$ ; confidence 0.777
  
240. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085380/s08538041.png ; $s _ { i } : X _ { n } \rightarrow X _ { n } + 1$ ; confidence 0.593
+
240. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013054.png ; $\gamma _ { n } = n ^ { - 2 / 3 }$ ; confidence 0.776
  
241. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050850/i05085011.png ; $1 ^ { \circ }$ ; confidence 0.592
+
241. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023150/c02315068.png ; $\square ^ { 1 } P ^ { i } = P$ ; confidence 0.776
  
242. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a1200607.png ; $j = 1 , \ldots , m$ ; confidence 0.591
+
242. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057870/l05787021.png ; $\lambda ( I ) = \lambda ^ { * } ( A \cap I ) + \lambda ^ { * } ( I \backslash A )$ ; confidence 0.776
  
243. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040149.png ; $\Lambda _ { S 5 } T$ ; confidence 0.591
+
243. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062620/m062620198.png ; $z \square ^ { ( s ) }$ ; confidence 0.776
  
244. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110610/a110610171.png ; $h \in \operatorname { Diff } ^ { + } ( M )$ ; confidence 0.591
+
244. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010640/a0106406.png ; $k$ ; confidence 0.776
  
245. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110330/b1103309.png ; $\Omega = S ^ { D } = \{ \omega _ { i } \} _ { i \in D }$ ; confidence 0.591
+
245. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060117.png ; $G ^ { \# } ( n ) \sim C Z _ { G } ( q ^ { - 1 } ) q ^ { n } n ^ { - \alpha } \text { asn } \rightarrow \infty$ ; confidence 0.776
  
246. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w13009059.png ; $\Gamma ( H ) = \sum _ { n = 0 } ^ { \infty } H ^ { \otimes n }$ ; confidence 0.591
+
246. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010104.png ; $A \pm \Delta A ] x = [ b \pm \Delta b$ ; confidence 0.776
  
247. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010226.png ; $\| E _ { z } \|$ ; confidence 0.590
+
247. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040229.png ; $\hat { K } _ { A } \subset P ^ { 3 }$ ; confidence 0.776
  
248. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013095.png ; $12$ ; confidence 0.590
+
248. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c02278060.png ; $B O _ { m } \times B O _ { n } \rightarrow B O _ { m } + n$ ; confidence 0.775
  
249. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110380/a11038041.png ; $\approx 3$ ; confidence 0.590
+
249. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052800/i05280027.png ; $x = \{ x ^ { \alpha } ( u ^ { s } ) \}$ ; confidence 0.775
  
250. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012040/a01204017.png ; $X \subset Y$ ; confidence 0.590
+
250. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076250/q076250144.png ; $x \in E _ { + } ( s )$ ; confidence 0.775
  
251. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060290/l06029012.png ; $\left. \begin{array} { c c c } { R } & { \stackrel { \pi _ { 2 } \mu } { \rightarrow } } & { B } \\ { \pi _ { 1 } \mu \downarrow } & { \square } & { \downarrow \beta } \\ { A } & { \vec { \alpha } } & { C } \end{array} \right.$ ; confidence 0.590
+
251. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082050/r082050121.png ; $AH _ { p }$ ; confidence 0.775
  
252. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072460/p07246025.png ; $S \square ^ { * }$ ; confidence 0.590
+
252. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010047.png ; $f \in L$ ; confidence 0.774
  
253. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010240.png ; $( \pi , x )$ ; confidence 0.590
+
253. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539029.png ; $= \int \int _ { \Theta } L ( \theta , \delta ( x ) ) p ( x | \theta ) \pi ( \theta ) d \mu ( x ) d \nu ( \theta ) =$ ; confidence 0.774
  
254. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010225.png ; $| \delta \lambda _ { i } | \leq \frac { \| E _ { i } \| \| \delta A \| } { 1 - \| \delta A \| \sum _ { k \neq i } \frac { \| E _ { i } \| + \| E _ { k } \| } { | \lambda _ { i } - \lambda _ { k } | } }$ ; confidence 0.590
+
254. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040252.png ; $A _ { c }$ ; confidence 0.774
  
255. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016470/b0164707.png ; $( \tau = \text { const } )$ ; confidence 0.589
+
255. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600163.png ; $1 \leq h _ { m } \leq h . \phi ( m )$ ; confidence 0.774
  
256. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033340/d033340103.png ; $\gamma$ ; confidence 0.589
+
256. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130160/r1301601.png ; $c ^ { \infty } ( \Omega ) ^ { N }$ ; confidence 0.774
  
257. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040183.png ; $p : \tilde { A } \rightarrow K \subset P ^ { 3 }$ ; confidence 0.589
+
257. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058170/l05817023.png ; $\{ i _ { k } \}$ ; confidence 0.773
  
258. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210119.png ; $d [ ( \omega ) ] = 2 g - 2$ ; confidence 0.588
+
258. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130160/r13016037.png ; $c ^ { m } ( \Omega )$ ; confidence 0.773
  
259. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840256.png ; $c ( A ) \subset R \cup \{ \infty \}$ ; confidence 0.588
+
259. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090720/s09072010.png ; $a \neq a _ { 0 }$ ; confidence 0.773
  
260. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024036.png ; $N ( 0 , \Sigma )$ ; confidence 0.587
+
260. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420123.png ; $\pi$ ; confidence 0.772
  
261. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240307.png ; $SS _ { H } = \| \hat { \eta } _ { \Omega } - \hat { \eta } _ { \omega } \| ^ { 2 }$ ; confidence 0.587
+
261. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240104.png ; $y _ { i }$ ; confidence 0.771
  
262. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040185.png ; $p | D _ { i }$ ; confidence 0.587
+
262. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240205.png ; $X _ { 3 } \beta \neq 0$ ; confidence 0.771
  
263. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024021.png ; $E ( y ) = X \beta$ ; confidence 0.586
+
263. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046050.png ; $\tilde { D } = \{ \xi : x + \xi h \in D \}$ ; confidence 0.771
  
264. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057560/l05756010.png ; $E = \frac { m } { 2 } ( \dot { x } \square _ { 1 } ^ { 2 } + \dot { x } \square _ { 2 } ^ { 2 } + \dot { x } \square _ { 3 } ^ { 2 } ) + \frac { \kappa } { r }$ ; confidence 0.586
+
264. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050156.png ; $| \alpha | = c ^ { \partial ( \alpha ) }$ ; confidence 0.770
  
265. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539021.png ; $\rho ( \pi , \delta ^ { * } ) = \operatorname { inf } _ { \delta } \int _ { \Theta } \int _ { X } L ( \theta , \delta ( x ) ) P _ { \theta } ( d x ) \pi ( d \theta )$ ; confidence 0.586
+
265. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110060/i11006083.png ; $H \equiv L \circ K$ ; confidence 0.769
  
266. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240164.png ; $\eta = E ( y )$ ; confidence 0.586
+
266. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065140/m065140117.png ; $p _ { 1 } + \ldots + p _ { m } = p$ ; confidence 0.769
  
267. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040243.png ; $K ( \varphi ) \approx L ( \varphi ) = \{ \kappa _ { j } ( \varphi ) \approx \lambda _ { j } ( \varphi ) : j \in J \}$ ; confidence 0.585
+
267. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040174.png ; $p ^ { 3 }$ ; confidence 0.769
  
268. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013069.png ; $\tau ( t ) = ( \tau _ { l } ( t ) ) _ { l \in Z }$ ; confidence 0.585
+
268. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004062.png ; $A \ni \alpha \mapsto \{ \sigma \in H ^ { 0 } ( A , L ) : \sigma ( \alpha ) = 0 \} \subset H ^ { 0 } ( A , L )$ ; confidence 0.769
  
269. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040113.png ; $a + 1$ ; confidence 0.585
+
269. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040262.png ; $3 A$ ; confidence 0.768
  
270. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004082.png ; $\Lambda \times \Lambda \rightarrow Z$ ; confidence 0.584
+
270. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047470/h04747031.png ; $F ^ { p }$ ; confidence 0.768
  
271. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240509.png ; $E [ Z _ { 32 } , Z _ { 33 } ] = 0$ ; confidence 0.584
+
271. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055660/k0556604.png ; $f ( z ) = z + \ldots$ ; confidence 0.768
  
272. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110330/c1103302.png ; $DT ( S )$ ; confidence 0.583
+
272. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130020/m13002029.png ; $A = ( \frac { 1 } { \operatorname { sinh } r } - \frac { 1 } { r } ) \epsilon _ { i j k } \frac { x _ { j } } { r } \sigma _ { k } d x _ { i }$ ; confidence 0.768
  
273. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002044.png ; $GF ( q ^ { d + 1 } )$ ; confidence 0.583
+
273. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130110/v13011064.png ; $U = \frac { \Gamma } { 2 l } \operatorname { tanh } \frac { \pi b } { l } = \frac { \Gamma } { 2 l \sqrt { 2 } }$ ; confidence 0.768
  
274. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240108.png ; $y _ { i } = \alpha + \beta t _ { i } + \gamma t ^ { 2 } + e _ { i }$ ; confidence 0.583
+
274. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040154.png ; $\varphi \equiv \psi ( \operatorname { mod } \tilde { \Omega } _ { S 5 } T )$ ; confidence 0.768
  
275. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017280/b01728011.png ; $\hat { G } \backslash G$ ; confidence 0.582
+
275. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005045.png ; $x _ { 1 } , \ldots , \alpha _ { k } , \beta _ { 1 } , \ldots , \beta _ { k }$ ; confidence 0.767
  
276. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043340/g04334058.png ; $( \partial w / \partial t ) + ( \partial f / \partial x ) = ( h ^ { 2 } / 2 \tau ) ( \partial ^ { 2 } w / \partial x ^ { 2 } )$ ; confidence 0.582
+
276. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006074.png ; $| \operatorname { Re } ( A ( t ) u , S ^ { 2 } u ) _ { X } | \leq \gamma \| S u \| _ { X } ^ { 2 }$ ; confidence 0.767
  
277. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040592.png ; $S _ { P }$ ; confidence 0.582
+
277. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005053.png ; $| \frac { \partial } { \partial t } U ( t , s ) \| \leq \frac { C } { t - s } , \quad 0 \leq s < t \leq T$ ; confidence 0.766
  
278. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240169.png ; $\beta = 0$ ; confidence 0.582
+
278. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010330/a0103304.png ; $B _ { Y }$ ; confidence 0.766
  
279. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001011.png ; $12$ ; confidence 0.581
+
279. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130040/e13004044.png ; $( \Omega _ { + } - 1 ) ( g - g ) \psi ( t )$ ; confidence 0.766
  
280. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066840/n06684017.png ; $\{ \psi _ { i } \} _ { 0 } ^ { m }$ ; confidence 0.581
+
280. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052370/i05237019.png ; $\operatorname { inh } ^ { - 1 } z = - i \operatorname { arcsin } i z$ ; confidence 0.766
  
281. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050256.png ; $P _ { C } ^ { \# } ( n )$ ; confidence 0.581
+
281. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067850/n067850131.png ; $u = \operatorname { tr } \Gamma ( u )$ ; confidence 0.766
  
282. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040131.png ; $\tilde { \varphi } _ { L }$ ; confidence 0.580
+
282. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090130/s09013055.png ; $K . ( H X ) = ( K H ) X$ ; confidence 0.766
  
283. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012069.png ; $f ( z ) \neq 0$ ; confidence 0.580
+
283. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052012.png ; $x _ { 1 }$ ; confidence 0.765
  
284. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040657.png ; $h ( F _ { S _ { P } } \mathfrak { M } ^ { * } L ) = F _ { S _ { P } } \mathfrak { N } ^ { * } L$ ; confidence 0.580
+
284. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040580/f04058066.png ; $| A | = \int _ { R } | \alpha | 0$ ; confidence 0.765
  
285. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010120.png ; $b _ { 2 } ( s ) \leq 1$ ; confidence 0.580
+
285. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093860/t09386023.png ; $P ( S )$ ; confidence 0.765
  
286. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016050/b01605010.png ; $b ( \theta ) \equiv 0$ ; confidence 0.580
+
286. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a0101808.png ; $\rho < | z _ { 0 } - b |$ ; confidence 0.764
  
287. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120050/l12005018.png ; $f ( x ) = \operatorname { lim } _ { N \rightarrow \infty } \frac { 4 } { \pi ^ { 2 } } \int _ { 0 } ^ { N } \operatorname { cosh } ( \pi \tau ) \operatorname { Im } K _ { 1 / 2 + i \tau } ( x ) F ( \tau ) d \tau$ ; confidence 0.580
+
287. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110290/c11029014.png ; $Q ( t ) : S ^ { \prime } \rightarrow S ^ { \prime }$ ; confidence 0.764
  
288. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072430/p0724304.png ; $B \operatorname { ccos } ( \omega t + \psi )$ ; confidence 0.580
+
288. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024120/c02412032.png ; $\pi J ( s ) = \operatorname { sin } \pi s \int _ { r } ^ { \infty } \delta ^ { s - 1 } f ( - \delta ) d \delta + \frac { r ^ { s } } { 2 } \int _ { - \pi } ^ { \pi } e ^ { i \theta s } f ( r e ^ { i \theta } ) d \theta$ ; confidence 0.764
  
289. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006034.png ; $u ( t ) = e ^ { - t A } u _ { 0 } + \int _ { 0 } ^ { t } e ^ { - ( t - s ) A } f ( s ) d s$ ; confidence 0.579
+
289. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180152.png ; $\gamma$ ; confidence 0.764
  
290. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026480/c02648027.png ; $\pi _ { i } : S \rightarrow A$ ; confidence 0.579
+
290. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041890/f041890119.png ; $x \in R \cup \{ \infty \}$ ; confidence 0.764
  
291. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036840/e03684018.png ; $K ( B - C _ { N } ) > K ( B - A ) > D$ ; confidence 0.579
+
291. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032031.png ; $T = \lambda$ ; confidence 0.763
  
292. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044400/g04440061.png ; $z$ ; confidence 0.578
+
292. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001082.png ; $Z = S \nmid F _ { \tau }$ ; confidence 0.763
  
293. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086480/s0864803.png ; $E | X ( t ) | ^ { n } \leq C < \infty$ ; confidence 0.578
+
293. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120260/c12026044.png ; $1 \leq n \leq N$ ; confidence 0.763
  
294. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087550/s08755019.png ; $\alpha < p b$ ; confidence 0.578
+
294. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047610/h04761062.png ; $\mathfrak { M } ( M )$ ; confidence 0.763
  
295. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040456.png ; $h ( \psi _ { 0 } ) , \ldots , h ( \psi _ { n } - 1 ) \in F$ ; confidence 0.578
+
295. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086700/s08670044.png ; $e ^ { - k - s | / \mu } / \mu$ ; confidence 0.763
  
296. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027600/c0276008.png ; $- \infty < z < \infty$ ; confidence 0.577
+
296. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001041.png ; $\{ \xi ^ { \alpha } , \eta ^ { \alpha } , \Phi ^ { \alpha } \} \alpha = 1,2,3$ ; confidence 0.761
  
297. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024060.png ; $A _ { i }$ ; confidence 0.577
+
297. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a110220117.png ; $L ^ { 1 } ( H , m )$ ; confidence 0.761
  
298. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010430/a0104307.png ; $p _ { j } = P \{ \xi ( t + 1 ) = j | \xi ( t ) = i \}$ ; confidence 0.577
+
298. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010580/a01058029.png ; $k = 2 , u _ { 0 } = 23 / 12 , u _ { - 1 } = - 4 / 3 , u _ { - 2 } = 5 / 12$ ; confidence 0.760
  
299. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092810/t092810186.png ; $B s$ ; confidence 0.576
+
299. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010680/a01068056.png ; $Q ( n ) = \sum s _ { i } ( n )$ ; confidence 0.760
  
300. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001070.png ; $\frac { \| \delta x \| } { \| x \| } \leq \frac { 2 \epsilon \| A ^ { - 1 } \| A \| } { 1 - \epsilon \| A ^ { - 1 } \| A \| }$ ; confidence 0.575
+
300. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028055.png ; $AO ( G ) \times K _ { 2 }$ ; confidence 0.760

Revision as of 08:36, 6 September 2019

List

1. s085590585.png ; $\| x \| = \rho$ ; confidence 0.826

2. a11016034.png ; $Q ( x _ { k } )$ ; confidence 0.825

3. h04793027.png ; $x = [ u ]$ ; confidence 0.825

4. a01052039.png ; $1 / 2 < | \alpha _ { n } | \leq 1$ ; confidence 0.825

5. a110010252.png ; $\delta A = - r x ^ { * } / \| x \| _ { 2 } ^ { 2 }$ ; confidence 0.825

6. a12012071.png ; $( x ^ { * } , y ^ { * } , p ^ { * } )$ ; confidence 0.824

7. a01012050.png ; $z | > 1$ ; confidence 0.823

8. e0357202.png ; $\operatorname { lim } _ { k \rightarrow \infty } | \alpha _ { k } | ^ { 1 / k } = 0$ ; confidence 0.823

9. p075560134.png ; $( P . Q ) ! = ( P \times Q ) ! = ( P ! \times Q ! ) !$ ; confidence 0.823

10. a13013056.png ; $A _ { 1 } ^ { ( 1 ) }$ ; confidence 0.822

11. b01667071.png ; $n _ { 1 } = 9$ ; confidence 0.822

12. m06309023.png ; $r _ { 0 } ^ { * } + \sum _ { j = 1 } ^ { q } \beta _ { j } r _ { j } ^ { * } = \sigma ^ { 2 }$ ; confidence 0.822

13. m11013041.png ; $\beta + \gamma \simeq \alpha . S ( t )$ ; confidence 0.822

14. s13004069.png ; $X ^ { * } = \Gamma \backslash D ^ { * }$ ; confidence 0.822

15. a01018017.png ; $20,21,22$ ; confidence 0.822

16. a01022052.png ; $W ^ { T }$ ; confidence 0.822

17. a010210116.png ; $d [ ( \omega ) ] = \alpha _ { 1 } + \ldots + \alpha _ { n }$ ; confidence 0.821

18. a1103006.png ; $H * \Omega X$ ; confidence 0.821

19. g04358023.png ; $f _ { \zeta } ( \lambda )$ ; confidence 0.821

20. l0591406.png ; $T _ { x _ { 1 } } ( M ) \rightarrow T _ { x _ { 0 } } ( M )$ ; confidence 0.821

21. r08205056.png ; $\partial \overline { R } _ { \nu }$ ; confidence 0.821

22. a11016017.png ; $x \rightarrow F ( x ) = M ^ { - 1 } ( N x + b )$ ; confidence 0.821

23. a11016068.png ; $\eta = \lambda _ { \operatorname { min } } / ( \lambda _ { \operatorname { max } } - \lambda _ { \operatorname { min } } )$ ; confidence 0.821

24. a1200605.png ; $\Omega = R ^ { m }$ ; confidence 0.820

25. b01511035.png ; $U ( y ) = \int _ { \Gamma } f ( x ) d \beta _ { Y } ( x )$ ; confidence 0.820

26. b0169909.png ; $\Omega _ { M } ( \rho ) \in V _ { M } ^ { V ^ { n } }$ ; confidence 0.820

27. c02162091.png ; $c _ { q } ( \xi ) = \kappa ( \eta ^ { q } )$ ; confidence 0.820

28. d130060103.png ; $Z \in X$ ; confidence 0.820

29. e03579057.png ; $\sum _ { n } ^ { - 1 }$ ; confidence 0.820

30. a110220107.png ; $( L _ { 1 } , P _ { 1 } )$ ; confidence 0.819

31. a12006075.png ; $u \in D ( S ^ { 2 } )$ ; confidence 0.819

32. c02646028.png ; $x _ { k + 1 } = x _ { k } - \alpha _ { k } p _ { k }$ ; confidence 0.819

33. q07681026.png ; $\alpha = \operatorname { lim } _ { t \rightarrow 0 } \frac { P ( e ( t ) \geq 1 ) } { t }$ ; confidence 0.819

34. a130040790.png ; $g = g ^ { \prime }$ ; confidence 0.819

35. a12010019.png ; $x \notin D ( A )$ ; confidence 0.819

36. a11022063.png ; $h _ { 1 } , h _ { 2 }$ ; confidence 0.818

37. c02211060.png ; $\xi _ { 1 } ^ { 2 } + \ldots + \xi _ { k - m - 1 } ^ { 2 } + \mu _ { 1 } \xi _ { k - m } ^ { 2 } + \ldots + \mu _ { m } \xi _ { k - 1 } ^ { 2 }$ ; confidence 0.818

38. c02643058.png ; $F [ f ^ { * } g ] = \sqrt { 2 \pi } F [ f ] F [ g ]$ ; confidence 0.818

39. d0338502.png ; $x \square ^ { j }$ ; confidence 0.818

40. i051150191.png ; $p ^ { t } ( . )$ ; confidence 0.817

41. l0571105.png ; $\{ \phi _ { n } \} _ { n = 1 } ^ { \infty }$ ; confidence 0.817

42. r08194033.png ; $G ( K ) \rightarrow G ( Q )$ ; confidence 0.817

43. a01055010.png ; $\phi ( g , x ) = \phi _ { g } ( x )$ ; confidence 0.817

44. a130240312.png ; $SS _ { e } = \sum _ { i j k } ( y _ { i j k } - y _ { i j } ) ^ { 2 }$ ; confidence 0.817

45. a01243088.png ; $f$ ; confidence 0.816

46. b01734046.png ; $t _ { 0 } \in \partial S$ ; confidence 0.816

47. a01055027.png ; $O ( n ) / ( O ( m ) \times O ( n - m ) )$ ; confidence 0.816

48. a12013042.png ; $( h _ { \theta } ^ { * } - \frac { I } { 2 } ) V + V ( h _ { \theta } ^ { * } - \frac { I } { 2 } ) ^ { T } = R ( \theta ^ { * } )$ ; confidence 0.816

49. a01052059.png ; $\overline { \operatorname { lim } } _ { k \rightarrow 0 } | A ( h ) | < \infty$ ; confidence 0.815

50. a01021034.png ; $i ( \omega , \overline { \pi } ) = \sum _ { j = 1 } ^ { g } ( A _ { j } B _ { j } ^ { \prime } - B _ { j } A _ { j } ^ { \prime } ) = 0$ ; confidence 0.815

51. s087400105.png ; $\in \Theta _ { 0 } \beta _ { n } ( \theta ) \leq \alpha$ ; confidence 0.815

52. a130040754.png ; $_ { R } , \mathfrak { M } ( r ) = \operatorname { mng } _ { P \cup R } , \mathfrak { M } ( \varphi _ { r } )$ ; confidence 0.815

53. a01055066.png ; $B _ { G }$ ; confidence 0.815

54. a12022038.png ; $S , T \in L ( X )$ ; confidence 0.814

55. a01021089.png ; $A _ { k } = \int _ { a _ { k } } \omega _ { 1 } , \quad B _ { k } = \int _ { b _ { k } } \omega _ { 1 }$ ; confidence 0.814

56. n067850200.png ; $\operatorname { tr } _ { \sigma } A$ ; confidence 0.814

57. s08521047.png ; $q ^ { 6 } ( q ^ { 2 } - 1 ) ( q ^ { 6 } - 1 )$ ; confidence 0.814

58. a12005014.png ; $t \in [ 0 , T ]$ ; confidence 0.814

59. a11037017.png ; $X _ { 2 }$ ; confidence 0.814

60. a01060011.png ; $C ^ { 2 }$ ; confidence 0.814

61. f12009069.png ; $F \mu$ ; confidence 0.813

62. i05091079.png ; $Y _ { n k }$ ; confidence 0.813

63. a01067012.png ; $\tilde { \eta } = \eta + \zeta$ ; confidence 0.813

64. a12005098.png ; $A ( . )$ ; confidence 0.813

65. p07237025.png ; $\underline { H } \square _ { f }$ ; confidence 0.812

66. r07738071.png ; $P \{ | \frac { K _ { n } } { n } - \frac { 1 } { 2 } | < \frac { 1 } { 4 } \} = 1 - 2 P \{ \frac { K _ { n } } { n } < \frac { 1 } { 4 } \} \approx 1 - \frac { 4 } { \pi } \frac { \pi } { 6 } = \frac { 1 } { 3 }$ ; confidence 0.812

67. a01058018.png ; $a > 0$ ; confidence 0.812

68. a12008074.png ; $u \in L ^ { 2 } ( [ 0 , T ] ; H ^ { 2 } ( \Omega ) ) \cap H ^ { 2 } ( [ 0 , T ] ; L ^ { 2 } ( \Omega ) )$ ; confidence 0.811

69. a11001028.png ; $k ( A ) = \| A ^ { - 1 } \| A \|$ ; confidence 0.811

70. t12001035.png ; $SU ( 2 )$ ; confidence 0.811

71. m0645406.png ; $m _ { G } = D ( u ) / 2 \pi$ ; confidence 0.811

72. q12007060.png ; $R _ { q ^ { 2 } }$ ; confidence 0.811

73. r08116074.png ; $t + \tau$ ; confidence 0.811

74. a110010195.png ; $\| ( \hat { \lambda } I - A ) ^ { - 1 } \delta A \| > 1$ ; confidence 0.810

75. a1201209.png ; $B = ( b _ { i j } )$ ; confidence 0.810

76. a11001024.png ; $\delta x = A ^ { - 1 } ( - \delta A x - \delta A \delta x + \delta b )$ ; confidence 0.810

77. a01162010.png ; $f ( x ) - P _ { n } ^ { 0 } ( x )$ ; confidence 0.810

78. i05143039.png ; $\hat { \phi } ( x ) = \lambda \sum _ { i = 1 } ^ { n } C _ { i } \alpha _ { i } ( x ) + f ( x )$ ; confidence 0.810

79. a01043018.png ; $= P \{ \tau ( H ) \leq t , \xi ( \tau ( H ) ) = h | \xi ( 0 ) = i \}$ ; confidence 0.810

80. a1300202.png ; $T ; X \rightarrow X$ ; confidence 0.809

81. a01029015.png ; $f _ { \alpha } : \alpha X \rightarrow \alpha Y$ ; confidence 0.809

82. a13024061.png ; $k = 1 , \ldots , K$ ; confidence 0.809

83. b1300303.png ; $V ^ { \pm } \times V ^ { - } \times V ^ { \pm } \rightarrow V ^ { \pm }$ ; confidence 0.809

84. d1100407.png ; $S _ { p } ^ { n + p } ( c ) = \{ x \in R _ { p } ^ { n + p + 1 }$ ; confidence 0.809

85. d03154015.png ; $G r$ ; confidence 0.809

86. q07632017.png ; $j _ { X } : F ^ { \prime } \rightarrow F$ ; confidence 0.809

87. a11001069.png ; $b$ ; confidence 0.809

88. a11028062.png ; $N P$ ; confidence 0.809

89. a130040463.png ; $Fi _ { D } A$ ; confidence 0.809

90. a12008061.png ; $\left( \begin{array} { c c } { 0 } & { - 1 } \\ { A ( t ) } & { 0 } \end{array} \right)$ ; confidence 0.808

91. a01012066.png ; $\{ \mu _ { n } \}$ ; confidence 0.808

92. h047930299.png ; $Z / p$ ; confidence 0.808

93. s087280193.png ; $m = E X ( s )$ ; confidence 0.808

94. a120070103.png ; $R ^ { n }$ ; confidence 0.807

95. r11004022.png ; $k ^ { 2 } = k _ { c } ^ { 2 } + \frac { 3 } { 8 } \frac { \rho 2 g } { T \lambda _ { 0 } ^ { 2 } } ( 1 - \frac { \rho _ { 1 } } { \rho _ { 2 } } ) \epsilon ^ { 2 } + O ( \epsilon ^ { 3 } )$ ; confidence 0.807

96. r08143031.png ; $E / E ^ { \prime }$ ; confidence 0.807

97. a13024027.png ; $Y = X B + E$ ; confidence 0.807

98. a130040385.png ; $\Omega \cup F = \cup _ { F \in F } \Omega F$ ; confidence 0.806

99. n06649018.png ; $f ^ { - 1 } ( \alpha ) \cap \{ z : | z | \leq t \}$ ; confidence 0.806

100. a01052021.png ; $\| F _ { M } \| _ { E } \leq f ( n ) \| A \| _ { E }$ ; confidence 0.806

101. a130040311.png ; $\alpha , b , c , d \in A$ ; confidence 0.805

102. a12008065.png ; $v _ { 0 } = i A ( t ) ^ { 1 / 2 } u$ ; confidence 0.805

103. a110680200.png ; $r$ ; confidence 0.805

104. a014140121.png ; $\sigma ( 1 ) = s$ ; confidence 0.805

105. d130080108.png ; $F \in Hol ( D )$ ; confidence 0.805

106. q07680012.png ; $T ^ { S }$ ; confidence 0.805

107. q07686069.png ; $f _ { X } : V _ { X } \rightarrow V _ { X } ^ { \prime }$ ; confidence 0.805

108. r11015028.png ; $M \dot { y } = f ( y )$ ; confidence 0.805

109. a13008065.png ; $g ( x ; m , s ) = \left\{ \begin{array} { l l } { \frac { 1 } { 2 s } \operatorname { exp } ( \frac { x - m } { s } ) } & { \text { for } x \leq m } \\ { \frac { 1 } { 2 s } \operatorname { exp } ( \frac { m - x } { s } ) } & { \text { for } x \geq m } \end{array} \right.$ ; confidence 0.804

110. a12005049.png ; $\leq B \sum _ { i = 1 } ^ { k } ( t - s ) ^ { \alpha _ { i } } | \lambda | ^ { \beta _ { i } - 1 } , \lambda \in S _ { \theta _ { 0 } } \backslash \{ 0 \} , \quad 0 \leq s \leq t \leq T$ ; confidence 0.804

111. a130060131.png ; $F ^ { \# } ( n )$ ; confidence 0.804

112. a13013016.png ; $8$ ; confidence 0.804

113. d0302808.png ; $\tau _ { n } ( t ) = \frac { 1 } { 2 \pi } \frac { 2 ^ { 2 n } ( n ! ) ^ { 2 } } { ( 2 n ) ! } \operatorname { cos } ^ { 2 n } \frac { t } { 2 }$ ; confidence 0.804

114. a01052062.png ; $q \leq 1$ ; confidence 0.804

115. a13007036.png ; $3 ^ { 3 } .5 .7,3 ^ { 2 } .5 ^ { 2 } .7,3 ^ { 2 } .5 .7 ^ { 2 }$ ; confidence 0.804

116. a11001089.png ; $| I - B A \| < 1$ ; confidence 0.804

117. a11035025.png ; $\phi _ { \lambda } ( t )$ ; confidence 0.804

118. c02104057.png ; $- u _ { 3 }$ ; confidence 0.803

119. a110220109.png ; $( L _ { 2 } , P _ { 2 } )$ ; confidence 0.802

120. a010210103.png ; $2 \pi i c$ ; confidence 0.802

121. e03677058.png ; $P ^ { \prime } ( C )$ ; confidence 0.802

122. l061160114.png ; $x _ { 0 } ( . ) : t _ { 0 } + R ^ { + } \rightarrow U$ ; confidence 0.802

123. p07267050.png ; $f ^ { \prime } ( O _ { X ^ { \prime } } ) = O _ { S ^ { \prime } }$ ; confidence 0.802

124. q07604075.png ; $\operatorname { arg } \operatorname { lim } _ { q \rightarrow r } Q _ { z } ( z ( q ) ) z ( q ) ^ { 2 }$ ; confidence 0.802

125. q07680048.png ; $\leq \nu _ { i } ^ { s }$ ; confidence 0.802

126. l120120208.png ; $G ( K _ { p ^ { \prime } } )$ ; confidence 0.801

127. p072530183.png ; $I ( G _ { p } )$ ; confidence 0.801

128. a110010270.png ; $\operatorname { min } _ { i } | \hat { \lambda } - \lambda _ { i } | \leq \operatorname { max } \{ r \psi , r ^ { 1 / r } \psi ^ { 1 / r } \}$ ; confidence 0.800

129. a12010068.png ; $u - \Delta u = f$ ; confidence 0.800

130. c02016022.png ; $K _ { X } K _ { X }$ ; confidence 0.800

131. c022780429.png ; $\phi ^ { h } ( pt )$ ; confidence 0.800

132. f03838022.png ; $C _ { 0 }$ ; confidence 0.800

133. s087820182.png ; $\| y \| = \operatorname { max } _ { i } | y _ { i } |$ ; confidence 0.800

134. a11025015.png ; $1 / T$ ; confidence 0.800

135. a11032013.png ; $T \approx f _ { y } ( t _ { m } , u _ { m } )$ ; confidence 0.800

136. t120010114.png ; $\operatorname { im } ( S ) = 7$ ; confidence 0.799

137. c02601042.png ; $N = N _ { 0 }$ ; confidence 0.799

138. l058360142.png ; $P _ { 8 }$ ; confidence 0.799

139. n06731043.png ; $B O$ ; confidence 0.799

140. w09745039.png ; $j = g ^ { 3 } / g ^ { 2 }$ ; confidence 0.799

141. a130040799.png ; $D \in K$ ; confidence 0.799

142. a11033022.png ; $U _ { 0 } ^ { * * } = \emptyset$ ; confidence 0.798

143. t12001039.png ; $\Phi ^ { \alpha } ( Y ) = \nabla _ { Y } \xi ^ { \alpha }$ ; confidence 0.798

144. c02161069.png ; $\alpha _ { \nu } ( x ) \rightarrow b _ { \nu } ( x ^ { \prime } )$ ; confidence 0.798

145. g13003022.png ; $w \mapsto ( w ^ { * } \varphi _ { \lambda } ) _ { \lambda \in \Lambda }$ ; confidence 0.798

146. h04630075.png ; $M _ { 0 } \times I$ ; confidence 0.798

147. a130040298.png ; $A \in Q$ ; confidence 0.797

148. a012970176.png ; $d _ { 2 n - 1 } = d _ { 2 n }$ ; confidence 0.797

149. b13020048.png ; $\alpha _ { i j } \neq 0$ ; confidence 0.797

150. d03249026.png ; $G$ ; confidence 0.797

151. y11001038.png ; $\| \phi _ { q } \| _ { q } = 1$ ; confidence 0.797

152. a130240535.png ; $k ( X _ { 2 } ) = p$ ; confidence 0.797

153. b13027070.png ; $B \otimes K ( H )$ ; confidence 0.796

154. m1300307.png ; $f ( z ^ { d } ) = f ( z ) - z$ ; confidence 0.796

155. a11037024.png ; $\{ t _ { k } : k \geq 1 \} \subset R _ { + }$ ; confidence 0.796

156. a130070113.png ; $\alpha \in R$ ; confidence 0.795

157. a130240414.png ; $f ( Z _ { 1 } )$ ; confidence 0.795

158. l05745021.png ; $v \in C ( \overline { G } )$ ; confidence 0.795

159. m0655809.png ; $P ( x ) = \sum _ { k = 1 } ^ { n } \alpha _ { k } x ^ { \lambda _ { k } }$ ; confidence 0.795

160. p11023076.png ; $x \in R ^ { + }$ ; confidence 0.795

161. s09108054.png ; $\sum _ { n < x } f ( n ) = R ( x ) + O ( x ^ { \{ ( \alpha + 1 ) ( 2 \eta - 1 ) / ( 2 \eta + 1 ) \} + \epsilon } )$ ; confidence 0.795

162. a12012010.png ; $b _ { j }$ ; confidence 0.794

163. a13007070.png ; $1 \leq m < n$ ; confidence 0.794

164. a11001099.png ; $\delta b$ ; confidence 0.794

165. a110220112.png ; $\int _ { H } f d m = \int _ { \Omega } R _ { 1 } f d P _ { 1 } = \int _ { \Omega } R _ { 2 } f d P _ { 2 }$ ; confidence 0.794

166. d031830278.png ; $u \leq \theta u$ ; confidence 0.794

167. o0681907.png ; $T ( t ) x$ ; confidence 0.794

168. q13004026.png ; $J _ { f } ( x ) \leq K l ( f ^ { \prime } ( x ) ) ^ { n }$ ; confidence 0.794

169. r08062044.png ; $X = \| x _ { i } \|$ ; confidence 0.794

170. y120010139.png ; $R : X \times X \rightarrow \operatorname { End } _ { k } ( V \otimes _ { k } V )$ ; confidence 0.794

171. a11032014.png ; $T = 0$ ; confidence 0.794

172. a0104607.png ; $\delta f ( a , )$ ; confidence 0.793

173. a130240474.png ; $X _ { 1 }$ ; confidence 0.793

174. a130240238.png ; $MS _ { e } = SS _ { e } / ( n - r )$ ; confidence 0.793

175. a01419047.png ; $t _ { + } < + \infty$ ; confidence 0.793

176. c13007063.png ; $g = 0 \Rightarrow c$ ; confidence 0.793

177. h04794088.png ; $e _ { i } : O ( \Delta _ { q - 1 } ) \rightarrow O ( \Delta _ { q } )$ ; confidence 0.793

178. a130240310.png ; $\eta i$ ; confidence 0.793

179. a11010037.png ; $T _ { N } ( g )$ ; confidence 0.793

180. g044350116.png ; $V ( \Re ) > 2 ^ { n } d ( \Lambda )$ ; confidence 0.792

181. t09389045.png ; $o ( N ) / N \rightarrow 0$ ; confidence 0.792

182. a11028064.png ; $\chi ( G ) < \operatorname { girth } ( G )$ ; confidence 0.791

183. h1200207.png ; $\hat { \phi } ( j ) = \alpha$ ; confidence 0.791

184. t09326056.png ; $d \Phi$ ; confidence 0.791

185. a130240453.png ; $q = 1$ ; confidence 0.790

186. t13004014.png ; $\tau x ^ { n }$ ; confidence 0.790

187. a130240155.png ; $c ^ { \prime } \beta$ ; confidence 0.790

188. a01022011.png ; $\nu = 1 , \ldots , 2 p$ ; confidence 0.790

189. a11006042.png ; $\beta _ { X } ( s )$ ; confidence 0.790

190. e03566053.png ; $c ( n ) \| \mu \| _ { e } = \| U _ { \mu } \|$ ; confidence 0.789

191. c0256402.png ; $\{ \alpha _ { n } \} _ { n = 0 } ^ { \omega } \quad \text { and } \quad \{ b _ { n } \} _ { n = 1 } ^ { \omega }$ ; confidence 0.788

192. a0102207.png ; $C ^ { p }$ ; confidence 0.788

193. a130050290.png ; $G ^ { \# } ( n ) > 0$ ; confidence 0.787

194. a110420158.png ; $A _ { \theta }$ ; confidence 0.786

195. d0316809.png ; $\Delta ^ { m } y _ { n } = \sum _ { k = 0 } ^ { m } ( - 1 ) ^ { m - k } \left( \begin{array} { c } { m } \\ { k } \end{array} \right) y _ { n + k }$ ; confidence 0.786

196. p13013032.png ; $\lambda _ { 1 } > \ldots > \lambda _ { n } ( \lambda ) > 0$ ; confidence 0.786

197. s0902702.png ; $\alpha < t < b$ ; confidence 0.786

198. y12001036.png ; $R _ { V } : V \otimes _ { k } V \rightarrow V \otimes _ { k } V$ ; confidence 0.786

199. a130040542.png ; $i < m$ ; confidence 0.786

200. a01071049.png ; $( M / Q _ { i } ) = p _ { i }$ ; confidence 0.785

201. a130240490.png ; $X _ { 2 }$ ; confidence 0.785

202. b01539032.png ; $d ^ { x }$ ; confidence 0.785

203. b01521049.png ; $\alpha \in S _ { \alpha }$ ; confidence 0.784

204. d13018088.png ; $\operatorname { lim } _ { n \rightarrow \infty } f g _ { n } = f$ ; confidence 0.784

205. r110010322.png ; $j$ ; confidence 0.784

206. s08755022.png ; $\alpha \leq p b$ ; confidence 0.784

207. a12012092.png ; $\sum _ { t = 0 } ^ { \infty } A ^ { t } c _ { t } = y _ { 0 }$ ; confidence 0.783

208. a130240367.png ; $M _ { E } = Z _ { 3 } ^ { \prime } Z _ { 3 }$ ; confidence 0.783

209. a120310159.png ; $\Omega$ ; confidence 0.783

210. a11016079.png ; $[ M ^ { - 1 } A ] x = [ M ^ { - 1 } b ]$ ; confidence 0.783

211. a0121604.png ; $\phi = \operatorname { am } z$ ; confidence 0.783

212. r08125011.png ; $H ( t ) = E N$ ; confidence 0.783

213. v120020184.png ; $F : S ^ { n } \rightarrow K ( E ^ { n + 1 } \backslash \theta )$ ; confidence 0.783

214. a11030027.png ; $X = * \cup \cup _ { \alpha \in A } e ^ { n _ { \alpha } + 1 }$ ; confidence 0.783

215. a01018049.png ; $B = 1$ ; confidence 0.783

216. a130240180.png ; $= E ( y _ { i j k } )$ ; confidence 0.782

217. t120010123.png ; $\sum _ { k = 1 } ^ { n } k ( n + 1 - k ) ( n + 1 - 2 k ) b _ { 2 k } = 0$ ; confidence 0.782

218. a110420138.png ; $I \mapsto I$ ; confidence 0.782

219. t09316047.png ; $p _ { 1 } \otimes \sim p _ { 2 }$ ; confidence 0.782

220. a12008039.png ; $D ( A ) = \{ u \in X : S ( . ) u \in C ^ { 2 } ( R ; X ) \}$ ; confidence 0.781

221. a130040752.png ; $\varphi _ { r } \in Fm _ { P }$ ; confidence 0.781

222. i05095025.png ; $= 2 \pi ^ { 3 } a ^ { 2 } \frac { ( n + 1 ) ( 2 n + 1 ) } { 3 n ^ { 2 } }$ ; confidence 0.781

223. a12008032.png ; $t \in R$ ; confidence 0.780

224. a130240147.png ; $\mu$ ; confidence 0.780

225. a12010024.png ; $| x _ { 1 } - x _ { 2 } \| \leq \| x _ { 1 } - x _ { 2 } + \lambda ( y _ { 1 } - y _ { 2 } ) \|$ ; confidence 0.780

226. a1203106.png ; $W ^ { * }$ ; confidence 0.779

227. a130240309.png ; $\sum _ { i j k } ( y _ { i j k } - \eta _ { i j } ) ^ { 2 }$ ; confidence 0.779

228. a01178016.png ; $b a P$ ; confidence 0.779

229. t13015064.png ; $K ( L ^ { 2 } ( S ) )$ ; confidence 0.779

230. a110010166.png ; $\hat { k } ( 2 \alpha + \beta )$ ; confidence 0.779

231. a12008063.png ; $\frac { d } { d t } \left( \begin{array} { l } { v _ { 0 } } \\ { v _ { 1 } } \end{array} \right) =$ ; confidence 0.779

232. a130050203.png ; $P$ ; confidence 0.779

233. m06455029.png ; $G \rightarrow R _ { + } ^ { * }$ ; confidence 0.778

234. a130240248.png ; $( q , n - r )$ ; confidence 0.777

235. b11061011.png ; $K ^ { * }$ ; confidence 0.777

236. f04212073.png ; $\frac { \partial w } { \partial z } + A ( z ) w + B ( z ) \overline { w } = F ( z )$ ; confidence 0.777

237. n06634090.png ; $x \in V _ { n }$ ; confidence 0.777

238. r08093013.png ; $\overline { A } z = \overline { u }$ ; confidence 0.777

239. a130240435.png ; $\operatorname { tr } ( N \Theta )$ ; confidence 0.777

240. a12013054.png ; $\gamma _ { n } = n ^ { - 2 / 3 }$ ; confidence 0.776

241. c02315068.png ; $\square ^ { 1 } P ^ { i } = P$ ; confidence 0.776

242. l05787021.png ; $\lambda ( I ) = \lambda ^ { * } ( A \cap I ) + \lambda ^ { * } ( I \backslash A )$ ; confidence 0.776

243. m062620198.png ; $z \square ^ { ( s ) }$ ; confidence 0.776

244. a0106406.png ; $k$ ; confidence 0.776

245. a130060117.png ; $G ^ { \# } ( n ) \sim C Z _ { G } ( q ^ { - 1 } ) q ^ { n } n ^ { - \alpha } \text { asn } \rightarrow \infty$ ; confidence 0.776

246. a110010104.png ; $A \pm \Delta A ] x = [ b \pm \Delta b$ ; confidence 0.776

247. a110040229.png ; $\hat { K } _ { A } \subset P ^ { 3 }$ ; confidence 0.776

248. c02278060.png ; $B O _ { m } \times B O _ { n } \rightarrow B O _ { m } + n$ ; confidence 0.775

249. i05280027.png ; $x = \{ x ^ { \alpha } ( u ^ { s } ) \}$ ; confidence 0.775

250. q076250144.png ; $x \in E _ { + } ( s )$ ; confidence 0.775

251. r082050121.png ; $AH _ { p }$ ; confidence 0.775

252. a11010047.png ; $f \in L$ ; confidence 0.774

253. b01539029.png ; $= \int \int _ { \Theta } L ( \theta , \delta ( x ) ) p ( x | \theta ) \pi ( \theta ) d \mu ( x ) d \nu ( \theta ) =$ ; confidence 0.774

254. a110040252.png ; $A _ { c }$ ; confidence 0.774

255. a011600163.png ; $1 \leq h _ { m } \leq h . \phi ( m )$ ; confidence 0.774

256. r1301601.png ; $c ^ { \infty } ( \Omega ) ^ { N }$ ; confidence 0.774

257. l05817023.png ; $\{ i _ { k } \}$ ; confidence 0.773

258. r13016037.png ; $c ^ { m } ( \Omega )$ ; confidence 0.773

259. s09072010.png ; $a \neq a _ { 0 }$ ; confidence 0.773

260. a110420123.png ; $\pi$ ; confidence 0.772

261. a130240104.png ; $y _ { i }$ ; confidence 0.771

262. a130240205.png ; $X _ { 3 } \beta \neq 0$ ; confidence 0.771

263. a01046050.png ; $\tilde { D } = \{ \xi : x + \xi h \in D \}$ ; confidence 0.771

264. a130050156.png ; $| \alpha | = c ^ { \partial ( \alpha ) }$ ; confidence 0.770

265. i11006083.png ; $H \equiv L \circ K$ ; confidence 0.769

266. m065140117.png ; $p _ { 1 } + \ldots + p _ { m } = p$ ; confidence 0.769

267. a110040174.png ; $p ^ { 3 }$ ; confidence 0.769

268. a11004062.png ; $A \ni \alpha \mapsto \{ \sigma \in H ^ { 0 } ( A , L ) : \sigma ( \alpha ) = 0 \} \subset H ^ { 0 } ( A , L )$ ; confidence 0.769

269. a130040262.png ; $3 A$ ; confidence 0.768

270. h04747031.png ; $F ^ { p }$ ; confidence 0.768

271. k0556604.png ; $f ( z ) = z + \ldots$ ; confidence 0.768

272. m13002029.png ; $A = ( \frac { 1 } { \operatorname { sinh } r } - \frac { 1 } { r } ) \epsilon _ { i j k } \frac { x _ { j } } { r } \sigma _ { k } d x _ { i }$ ; confidence 0.768

273. v13011064.png ; $U = \frac { \Gamma } { 2 l } \operatorname { tanh } \frac { \pi b } { l } = \frac { \Gamma } { 2 l \sqrt { 2 } }$ ; confidence 0.768

274. a130040154.png ; $\varphi \equiv \psi ( \operatorname { mod } \tilde { \Omega } _ { S 5 } T )$ ; confidence 0.768

275. a12005045.png ; $x _ { 1 } , \ldots , \alpha _ { k } , \beta _ { 1 } , \ldots , \beta _ { k }$ ; confidence 0.767

276. a12006074.png ; $| \operatorname { Re } ( A ( t ) u , S ^ { 2 } u ) _ { X } | \leq \gamma \| S u \| _ { X } ^ { 2 }$ ; confidence 0.767

277. a12005053.png ; $| \frac { \partial } { \partial t } U ( t , s ) \| \leq \frac { C } { t - s } , \quad 0 \leq s < t \leq T$ ; confidence 0.766

278. a0103304.png ; $B _ { Y }$ ; confidence 0.766

279. e13004044.png ; $( \Omega _ { + } - 1 ) ( g - g ) \psi ( t )$ ; confidence 0.766

280. i05237019.png ; $\operatorname { inh } ^ { - 1 } z = - i \operatorname { arcsin } i z$ ; confidence 0.766

281. n067850131.png ; $u = \operatorname { tr } \Gamma ( u )$ ; confidence 0.766

282. s09013055.png ; $K . ( H X ) = ( K H ) X$ ; confidence 0.766

283. a01052012.png ; $x _ { 1 }$ ; confidence 0.765

284. f04058066.png ; $| A | = \int _ { R } | \alpha | 0$ ; confidence 0.765

285. t09386023.png ; $P ( S )$ ; confidence 0.765

286. a0101808.png ; $\rho < | z _ { 0 } - b |$ ; confidence 0.764

287. c11029014.png ; $Q ( t ) : S ^ { \prime } \rightarrow S ^ { \prime }$ ; confidence 0.764

288. c02412032.png ; $\pi J ( s ) = \operatorname { sin } \pi s \int _ { r } ^ { \infty } \delta ^ { s - 1 } f ( - \delta ) d \delta + \frac { r ^ { s } } { 2 } \int _ { - \pi } ^ { \pi } e ^ { i \theta s } f ( r e ^ { i \theta } ) d \theta$ ; confidence 0.764

289. c120180152.png ; $\gamma$ ; confidence 0.764

290. f041890119.png ; $x \in R \cup \{ \infty \}$ ; confidence 0.764

291. a11032031.png ; $T = \lambda$ ; confidence 0.763

292. t12001082.png ; $Z = S \nmid F _ { \tau }$ ; confidence 0.763

293. c12026044.png ; $1 \leq n \leq N$ ; confidence 0.763

294. h04761062.png ; $\mathfrak { M } ( M )$ ; confidence 0.763

295. s08670044.png ; $e ^ { - k - s | / \mu } / \mu$ ; confidence 0.763

296. t12001041.png ; $\{ \xi ^ { \alpha } , \eta ^ { \alpha } , \Phi ^ { \alpha } \} \alpha = 1,2,3$ ; confidence 0.761

297. a110220117.png ; $L ^ { 1 } ( H , m )$ ; confidence 0.761

298. a01058029.png ; $k = 2 , u _ { 0 } = 23 / 12 , u _ { - 1 } = - 4 / 3 , u _ { - 2 } = 5 / 12$ ; confidence 0.760

299. a01068056.png ; $Q ( n ) = \sum s _ { i } ( n )$ ; confidence 0.760

300. a11028055.png ; $AO ( G ) \times K _ { 2 }$ ; confidence 0.760

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/11. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/11&oldid=43901