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(AUTOMATIC EDIT of page 8 out of 19 with 300 lines: Updated image/latex database (currently 5483 images latexified; order by Confidence, ascending: False.)
(AUTOMATIC EDIT of page 8 out of 35 with 300 lines: Updated image/latex database (currently 10225 images latexified; order by Confidence, ascending: False.)
 
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== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e036960205.png ; $\nu - 1 / 2 \in Z$ ; confidence 0.954
+
1. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012053.png ; $| \lambda _ { k } | \geq 1$ ; confidence 0.991
  
2. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g04509046.png ; $y ( \alpha ) = 0$ ; confidence 0.954
+
2. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a130070105.png ; $\sigma ^ { * } ( d ) < \alpha d$ ; confidence 0.991
  
3. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051620/i051620138.png ; $\Gamma = \partial D _ { 1 } \times \square \ldots \times \partial D _ { n }$ ; confidence 0.954
+
3. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110400/a11040019.png ; $T ^ { * } ( t ) = ( T ( t ) ) ^ { * }$ ; confidence 0.991
  
4. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092730/t09273032.png ; $M = M _ { 1 } \# M _ { 2 }$ ; confidence 0.954
+
4. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110640/a11064015.png ; $1$ ; confidence 0.991
  
5. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095230/u09523081.png ; $\{ d f _ { n } / d x \}$ ; confidence 0.954
+
5. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070010/o07001069.png ; $G \rightarrow G ( x )$ ; confidence 0.991
  
6. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050296.png ; $G _ { k , q }$ ; confidence 0.954
+
6. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a120070100.png ; $< 2 m$ ; confidence 0.991
  
7. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050105.png ; $\| U ( t , s ) \| _ { X } \leq M e ^ { \beta ( t - s ) } , \quad ( t , s ) \in \Delta$ ; confidence 0.953
+
7. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025930/c02593040.png ; $\phi ^ { * } ( g )$ ; confidence 0.991
  
8. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007087.png ; $D _ { A ( 0 ) } ( \delta , \infty )$ ; confidence 0.953
+
8. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012950/a01295056.png ; $p = 2$ ; confidence 0.991
  
9. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b120150110.png ; $d : N \cup \{ 0 \} \rightarrow R$ ; confidence 0.953
+
9. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a011460122.png ; $A ^ { * } ( X )$ ; confidence 0.991
  
10. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031280/d03128063.png ; $s ^ { \prime } : Y ^ { \prime } \rightarrow X ^ { \prime }$ ; confidence 0.953
+
10. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690080.png ; $\delta \alpha = d \alpha - \frac { 1 } { 2 } [ \alpha , \alpha ]$ ; confidence 0.991
  
11. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037080/e03708021.png ; $r > n$ ; confidence 0.953
+
11. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010134.png ; $\operatorname { rank } ( A ) = \operatorname { rank } ( A + \epsilon A _ { 1 } )$ ; confidence 0.991
  
12. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047390/h047390181.png ; $V = V ^ { + } \oplus V ^ { - }$ ; confidence 0.953
+
12. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077630/r07763056.png ; $\phi \mapsto \delta _ { \phi }$ ; confidence 0.991
  
13. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130070/i13007010.png ; $q ( x ) \in L ^ { 2 } \operatorname { loc } ( R ^ { 3 } )$ ; confidence 0.953
+
13. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042066.png ; $\alpha : K _ { 0 } ( A ) \rightarrow K _ { 0 } ( B )$ ; confidence 0.991
  
14. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060220/l0602207.png ; $\in \Theta$ ; confidence 0.953
+
14. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013040.png ; $Q ^ { ( n ) } = \sum _ { j = 0 } ^ { n } Q _ { j } z ^ { n - j }$ ; confidence 0.991
  
15. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120190/l12019039.png ; $x = - \sum _ { k = 0 } ^ { \infty } ( A ^ { * } ) ^ { k } C ( A ) ^ { k }$ ; confidence 0.953
+
15. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021067.png ; $( 1 / z ) d z$ ; confidence 0.991
  
16. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093900/t093900154.png ; $g _ { k } = ( 1 + y _ { k } ) / 2$ ; confidence 0.953
+
16. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011720/a01172012.png ; $\operatorname { Red } : X ( K ) \rightarrow X _ { 0 } ( k )$ ; confidence 0.991
  
17. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013065.png ; $| \theta _ { n + 1 } ^ { * } - \theta _ { n } ^ { * } |$ ; confidence 0.953
+
17. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130290/a13029031.png ; $P \rightarrow \Sigma$ ; confidence 0.991
  
18. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110330/a11033017.png ; $b \geq 2$ ; confidence 0.953
+
18. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014090/a01409051.png ; $\psi ( t _ { i } )$ ; confidence 0.991
  
19. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040262.png ; $SO ( 4 )$ ; confidence 0.953
+
19. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a13032030.png ; $Y _ { i } = 2 X _ { i } - 1$ ; confidence 0.991
  
20. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010151.png ; $k ( A ) = \| A \| _ { 2 } \| A ^ { + } \| _ { 2 }$ ; confidence 0.953
+
20. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110190/b11019019.png ; $x ^ { * } ( x ^ { * } y ) = x \wedge y$ ; confidence 0.991
  
21. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240135.png ; $A$ ; confidence 0.952
+
21. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017400/b01740070.png ; $k ^ { \prime } = 1$ ; confidence 0.991
  
22. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010282.png ; $A _ { i } \in R ^ { n \times n }$ ; confidence 0.952
+
22. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022290/c0222907.png ; $\theta \leq 1 / 2$ ; confidence 0.991
  
23. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d03070037.png ; $\pi ^ { \prime } : X ^ { \prime } \rightarrow S ^ { \prime }$ ; confidence 0.952
+
23. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025150/c02515011.png ; $Y \in T _ { y } ( P )$ ; confidence 0.991
  
24. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047210/h0472103.png ; $C$ ; confidence 0.952
+
24. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025350/c025350104.png ; $B \rightarrow H$ ; confidence 0.991
  
25. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051090/i05109035.png ; $\Theta$ ; confidence 0.952
+
25. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025710/c0257107.png ; $U = U ( x _ { 0 } )$ ; confidence 0.991
  
26. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051430/i05143058.png ; $| \lambda | < 1 / M ( b - \alpha )$ ; confidence 0.952
+
26. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025890/c02589013.png ; $( T ^ { * } ( t ) = T ( t ) )$ ; confidence 0.991
  
27. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j13004079.png ; $s ( L ) \geq ( E - e ) / 2$ ; confidence 0.952
+
27. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026230/c02623020.png ; $c _ { 1 } = f ^ { \prime } ( 0 ) = 1$ ; confidence 0.991
  
28. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064870/m06487010.png ; $\xi = x _ { m }$ ; confidence 0.952
+
28. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031250/d03125044.png ; $\phi : A \rightarrow A$ ; confidence 0.991
  
29. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012074.png ; $R > 1$ ; confidence 0.952
+
29. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033340/d033340195.png ; $\lambda _ { 3 } = K \sum _ { i j } \frac { \delta _ { i j } ^ { 2 } } { \sigma ^ { 2 } }$ ; confidence 0.991
  
30. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016092.png ; $A \rightarrow A - \lambda I$ ; confidence 0.952
+
30. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033530/d033530133.png ; $\zeta ( \sigma + i t ) \neq 0$ ; confidence 0.991
  
31. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010015.png ; $x _ { 0 } \in L$ ; confidence 0.951
+
31. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038220/f03822036.png ; $Q \subset P ^ { 4 }$ ; confidence 0.991
  
32. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420125.png ; $( K _ { 0 } ( A ) , K _ { 0 } ( A ) ^ { + } )$ ; confidence 0.951
+
32. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f130100140.png ; $G = T$ ; confidence 0.991
  
33. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310112.png ; $M ( C ( S ) , \alpha _ { 1 } , G _ { 1 } )$ ; confidence 0.951
+
33. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041050/f04105039.png ; $f \in L _ { 1 }$ ; confidence 0.991
  
34. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001061.png ; $\Gamma \subset SU ( 2 )$ ; confidence 0.951
+
34. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041250/f041250105.png ; $L _ { k } ( z _ { k } )$ ; confidence 0.991
  
35. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015110/b01511064.png ; $\mu = \delta _ { X }$ ; confidence 0.951
+
35. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041270/f04127030.png ; $\alpha < \beta < \gamma$ ; confidence 0.991
  
36. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015870/b01587024.png ; $( 1 - \Delta ) ^ { m } P _ { \alpha } ( x ) = P _ { \alpha - 2 m } ( x )$ ; confidence 0.951
+
36. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041790/f04179028.png ; $( n ! ) ^ { - 1 } n _ { D }$ ; confidence 0.991
  
37. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022700/c02270026.png ; $g : Y \rightarrow Z$ ; confidence 0.951
+
37. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797023.png ; $\mu ^ { * } : A ^ { * } \rightarrow A ^ { * } \otimes A ^ { * }$ ; confidence 0.991
  
38. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130230/m130230127.png ; $\phi : X ^ { \prime } \rightarrow Y$ ; confidence 0.951
+
38. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110300/h1103003.png ; $\psi ( x ) = \sum x ^ { \prime } \otimes x ^ { \prime \prime }$ ; confidence 0.991
  
39. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074010/p07401072.png ; $F _ { 5 } ^ { \mu } = C _ { 4 } \cap F _ { 8 } ^ { \mu }$ ; confidence 0.951
+
39. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055850/k05585032.png ; $W _ { \alpha } ( P ) \subseteq ( D _ { \alpha } ) ^ { n }$ ; confidence 0.991
  
40. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050292.png ; $P ^ { \# } ( n ) \sim G ^ { \# } ( n )$ ; confidence 0.951
+
40. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120190/l12019010.png ; $\lambda _ { j } + \overline { \lambda } _ { k } = 0$ ; confidence 0.991
  
41. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010700/a01070030.png ; $r \rightarrow r ^ { - 1 }$ ; confidence 0.950
+
41. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063710/m06371076.png ; $\int _ { c } ^ { \infty } f ( x ) d x$ ; confidence 0.991
  
42. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006083.png ; $\overline { H }$ ; confidence 0.950
+
42. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110180/m11018050.png ; $J ( F G / I ) = 0$ ; confidence 0.991
  
43. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120300/b12030013.png ; $q \in Z ^ { N }$ ; confidence 0.950
+
43. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065250/m06525013.png ; $G _ { 1 } / N$ ; confidence 0.991
  
44. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031010/d03101088.png ; $S ^ { 4 k - 1 }$ ; confidence 0.950
+
44. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067150/n067150152.png ; $A : G \rightarrow Y$ ; confidence 0.991
  
45. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120010/h12001013.png ; $X ^ { ( r ) } \rightarrow V$ ; confidence 0.950
+
45. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076530/q07653051.png ; $x ^ { 1 } = 0$ ; confidence 0.991
  
46. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055820/k0558203.png ; $\square ^ { 1 } S _ { 2 } ( i )$ ; confidence 0.950
+
46. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080930/r08093022.png ; $R _ { 0 } \subset F$ ; confidence 0.991
  
47. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067080/n06708018.png ; $y ^ { * } = \alpha ( g ^ { * } )$ ; confidence 0.950
+
47. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082430/r08243011.png ; $\gamma _ { t } ( x + y ) = \sum _ { r = 0 } ^ { t } \gamma _ { r } ( x ) \gamma _ { t - r } ( y )$ ; confidence 0.991
  
48. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091960/s0919603.png ; $R = \{ \pi ( i ) : \square i \in I \}$ ; confidence 0.950
+
48. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240461.png ; $f ( t ) = \beta _ { 0 } + \beta _ { 1 } t + \ldots + \beta _ { k } t ^ { k }$ ; confidence 0.991
  
49. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096380/v09638042.png ; $G ^ { k } ( V ) \times V$ ; confidence 0.950
+
49. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240437.png ; $( p \times q )$ ; confidence 0.991
  
50. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006063.png ; $u ( t ) = U ( t , 0 ) u _ { 0 } + \int _ { 0 } ^ { t } U ( t , s ) f ( s ) d s$ ; confidence 0.950
+
50. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011100/a01110052.png ; $A ^ { \prime }$ ; confidence 0.991
  
51. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040800.png ; $g : B \mapsto D$ ; confidence 0.949
+
51. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a120070113.png ; $L ^ { p } ( \Omega )$ ; confidence 0.991
  
52. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110790/a11079027.png ; $M \subset G$ ; confidence 0.949
+
52. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650238.png ; $P _ { j } \in \Omega _ { p }$ ; confidence 0.991
  
53. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539050.png ; $\theta = \theta _ { i }$ ; confidence 0.949
+
53. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018061.png ; $\phi ( s )$ ; confidence 0.991
  
54. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110050/c11005025.png ; $X _ { t } = 2.632 + 1.492 X _ { t - 1 } - 1.324 X _ { t - 2 } + \epsilon _ { t } ^ { ( 2 ) }$ ; confidence 0.949
+
54. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006031.png ; $\{ X _ { t } : t \in Z ^ { 1 } \}$ ; confidence 0.991
  
55. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110170/c1101705.png ; $D _ { p }$ ; confidence 0.949
+
55. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081041.png ; $L ( x ) = 0$ ; confidence 0.991
  
56. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035550/e035550128.png ; $\alpha ( X ) = \operatorname { tr } \operatorname { deg } M ( X )$ ; confidence 0.949
+
56. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040139.png ; $J ( C ) / E$ ; confidence 0.991
  
57. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094540/t09454051.png ; $\{ \omega _ { n } ^ { + } ( V ) \}$ ; confidence 0.949
+
57. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a01165072.png ; $G \times G \rightarrow G$ ; confidence 0.991
  
58. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005025.png ; $u ( t ) = U ( t , 0 ) u _ { 0 } + \int _ { 0 } ^ { t } U ( t , s ) f ( s ) d s$ ; confidence 0.948
+
58. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n066900107.png ; $( m , \phi )$ ; confidence 0.991
  
59. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018056.png ; $A _ { n } = \sum _ { j = 1 } ^ { k } B _ { j } n ^ { s _ { j } } ( \operatorname { ln } n ) ^ { \alpha _ { j } } + O ( n ^ { \beta } )$ ; confidence 0.948
+
59. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a01417013.png ; $M = D$ ; confidence 0.991
  
60. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120040/a1200405.png ; $x ^ { \prime } ( t ) = A x ( t ) , t > 0 ; \quad x ( 0 ) = x 0$ ; confidence 0.948
+
60. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008080.png ; $n = 3$ ; confidence 0.991
  
61. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010101.png ; $Z = G / U ( 1 ) . K$ ; confidence 0.948
+
61. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063010/m06301073.png ; $p = n / 2$ ; confidence 0.991
  
62. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001064.png ; $s ^ { 3 }$ ; confidence 0.948
+
62. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020090.png ; $\psi : B \rightarrow C$ ; confidence 0.991
  
63. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120140/b12014039.png ; $a ( z )$ ; confidence 0.948
+
63. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120506.png ; $F = \prod _ { \alpha } F _ { \alpha }$ ; confidence 0.991
  
64. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016970/b0169702.png ; $x ^ { \sigma } = x$ ; confidence 0.948
+
64. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020570/c02057060.png ; $\overline { \partial } f = g$ ; confidence 0.991
  
65. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032130/d032130311.png ; $\omega \in \Omega ^ { d } [ X ]$ ; confidence 0.948
+
65. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011480/a011480137.png ; $f ( x _ { 0 } , y )$ ; confidence 0.991
  
66. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i050230228.png ; $D _ { j } ^ { l } f \in L _ { p } ( R ^ { n } )$ ; confidence 0.948
+
66. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110110/a1101102.png ; $V _ { T }$ ; confidence 0.991
  
67. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064420/m06442050.png ; $k = m / 2$ ; confidence 0.948
+
67. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a0105204.png ; $( A + F _ { M } ) x = b + k _ { M }$ ; confidence 0.991
  
68. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007069.png ; $\frac { \sigma ( n ) } { n } > \frac { \sigma ( m ) } { m }$ ; confidence 0.948
+
68. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872087.png ; $\operatorname { Der } _ { k } ( A )$ ; confidence 0.991
  
69. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012063.png ; $y ^ { * } = \lambda ^ { * } x ^ { * }$ ; confidence 0.948
+
69. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058680/l05868033.png ; $\Gamma _ { 0 } \subset \Gamma ( G ) \subset \Gamma _ { 1 }$ ; confidence 0.991
  
70. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013014.png ; $\Leftrightarrow [ \frac { \partial } { \partial x } - P , \frac { \partial } { \partial t _ { n } } - Q ^ { ( n ) } ] = 0$ ; confidence 0.947
+
70. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080900/r0809004.png ; $C _ { G } ( S )$ ; confidence 0.991
  
71. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024029.png ; $g = 0$ ; confidence 0.947
+
71. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007095.png ; $\alpha \geq 3$ ; confidence 0.991
  
72. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013030.png ; $( \partial / \partial x ) - P _ { 0 } z$ ; confidence 0.947
+
72. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052031.png ; $g ( A )$ ; confidence 0.991
  
73. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013093.png ; $P _ { n + 1 } = \sum _ { i = 0 } ^ { n + 1 } u _ { i } ( \frac { d } { d x } ) ^ { i }$ ; confidence 0.947
+
73. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w12009054.png ; $\Lambda ^ { + } ( n , r )$ ; confidence 0.990
  
74. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012090/a0120907.png ; $\alpha \neq 0$ ; confidence 0.947
+
74. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110400/a11040035.png ; $\sigma ( A ^ { \odot } ) = \sigma ( A ^ { * } ) = \sigma ( A )$ ; confidence 0.990
  
75. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022450/c0224501.png ; $x ( t ) : R \rightarrow R ^ { n }$ ; confidence 0.947
+
75. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a11022014.png ; $C _ { \pi } = \{ \pi ^ { - 1 } B : B \in B ( \pi H ) \}$ ; confidence 0.990
  
76. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780210.png ; $x _ { i } / ( e ^ { x _ { i } } - 1 )$ ; confidence 0.947
+
76. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011740/a01174037.png ; $y ^ { \prime } = c y + f ( x )$ ; confidence 0.990
  
77. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024730/c024730113.png ; $P _ { i j } = \frac { 1 } { n - 2 } R _ { j } - \delta _ { j } ^ { i } \frac { R } { 2 ( n - 1 ) ( n - 2 ) }$ ; confidence 0.947
+
77. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240494.png ; $k = 1$ ; confidence 0.990
  
78. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130090/f1300908.png ; $U _ { n } ( x ) = \frac { \alpha ^ { n } ( x ) - \beta ^ { n } ( x ) } { \alpha ( x ) - \beta ( x ) }$ ; confidence 0.947
+
78. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450110.png ; $l ( D ) \geq 1$ ; confidence 0.990
  
79. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041160/f04116031.png ; $\alpha = - b$ ; confidence 0.947
+
79. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a0114607.png ; $C ^ { 1 } ( X )$ ; confidence 0.990
  
80. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840272.png ; $E ( \Delta ) K \subset D ( A )$ ; confidence 0.947
+
80. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010990/a01099029.png ; $r = r ( u ^ { 1 } , u ^ { 2 } )$ ; confidence 0.990
  
81. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068500/o06850051.png ; $\sigma \leq t \leq \theta$ ; confidence 0.947
+
81. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010670/a01067021.png ; $d x = f ( x , t ) d t + d w$ ; confidence 0.990
  
82. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080180/r0801808.png ; $t _ { k } \in R$ ; confidence 0.947
+
82. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011520/a01152030.png ; $G ( x )$ ; confidence 0.990
  
83. https://www.encyclopediaofmath.org/legacyimages/s/s110/s110280/s11028060.png ; $\sum _ { i = 1 } ^ { r } \alpha _ { i } \theta ( b _ { i } ) \in Z [ G ]$ ; confidence 0.947
+
83. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240340.png ; $H : X _ { 3 } \Gamma = 0$ ; confidence 0.990
  
84. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012021.png ; $l ( n )$ ; confidence 0.947
+
84. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590593.png ; $h ( x ) = \frac { \rho X ( x ) } { \| X ( x ) \| }$ ; confidence 0.990
  
85. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032025.png ; $R _ { 1 } ^ { ( i ) } ( z ) = \frac { R _ { 0 } ^ { ( i ) } ( z ) - 1 } { z }$ ; confidence 0.946
+
85. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700235.png ; $\operatorname { dim } V = n$ ; confidence 0.990
  
86. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010670/a0106703.png ; $y \in Y$ ; confidence 0.946
+
86. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a014170150.png ; $X = K \backslash G$ ; confidence 0.990
  
87. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001029.png ; $C ( S )$ ; confidence 0.946
+
87. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010023.png ; $A : D ( A ) \subset X \rightarrow 2 ^ { X }$ ; confidence 0.990
  
88. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240218.png ; $z = \Gamma y$ ; confidence 0.946
+
88. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820126.png ; $\gamma ( T )$ ; confidence 0.990
  
89. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015380/b0153803.png ; $A _ { i } \Gamma \cap A _ { j } = \emptyset$ ; confidence 0.946
+
89. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a011370142.png ; $\operatorname { Re } ( f )$ ; confidence 0.990
  
90. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050030/i050030120.png ; $A \backslash I$ ; confidence 0.946
+
90. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012080.png ; $t \geq 0$ ; confidence 0.990
  
91. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130040/i1300404.png ; $\sum _ { k = 1 } ^ { \infty } b _ { k } \operatorname { sin } k x$ ; confidence 0.946
+
91. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r07764081.png ; $s = f ( x )$ ; confidence 0.990
  
92. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093900/t093900196.png ; $T _ { 23 } n ( \operatorname { cos } \pi \omega )$ ; confidence 0.946
+
92. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a01160023.png ; $( x , y ) \in Z \times Z$ ; confidence 0.990
  
93. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096350/v0963509.png ; $( a + b ) + c = a + ( b + c )$ ; confidence 0.946
+
93. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054270/j05427036.png ; $J _ { 1 } : X \rightarrow X ^ { \prime }$ ; confidence 0.990
  
94. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110370/a11037026.png ; $\{ X _ { k } ^ { - } : k \geq 1 \}$ ; confidence 0.946
+
94. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090357.png ; $G _ { K } ( V )$ ; confidence 0.990
  
95. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110340/a1103402.png ; $y ( . )$ ; confidence 0.946
+
95. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024097.png ; $y = \alpha + \beta t +$ ; confidence 0.990
  
96. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010680/a01068036.png ; $A _ { 1 } = \ldots = A _ { k } = A$ ; confidence 0.945
+
96. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002014.png ; $d , d ^ { \prime } \in D$ ; confidence 0.990
  
97. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240417.png ; $( n - r ) ^ { - 1 } M _ { E }$ ; confidence 0.945
+
97. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085210/s08521033.png ; $1 > 3$ ; confidence 0.990
  
98. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240213.png ; $7$ ; confidence 0.945
+
98. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121083.png ; $q ( x , \lambda )$ ; confidence 0.990
  
99. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539052.png ; $L _ { 22 } < L _ { 21 }$ ; confidence 0.945
+
99. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016038.png ; $\lambda$ ; confidence 0.990
  
100. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b130300112.png ; $F _ { m }$ ; confidence 0.945
+
100. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110410/a11041034.png ; $( S , K _ { S } ^ { t - 1 } \otimes L )$ ; confidence 0.990
  
101. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110500/c11050032.png ; $H C ^ { 0 } ( A )$ ; confidence 0.945
+
101. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042064.png ; $( K _ { 0 } ( A ) , K _ { 0 } ( A ) ^ { + } , \Sigma ( A ) )$ ; confidence 0.990
  
102. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032890/d03289066.png ; $s = - 2 \nu - \delta$ ; confidence 0.945
+
102. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110370/a11037025.png ; $\{ X _ { k } ^ { + } : k \geq 1 \}$ ; confidence 0.990
  
103. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064430/m064430225.png ; $\operatorname { lm } A ( \tau )$ ; confidence 0.945
+
103. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010148.png ; $T ^ { 2 } \times SO ( 3 )$ ; confidence 0.990
  
104. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066480/n06648031.png ; $\phi _ { \alpha } ( f ) = w _ { \alpha }$ ; confidence 0.945
+
104. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024055.png ; $L \subset F$ ; confidence 0.990
  
105. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073090/p07309060.png ; $R \times D$ ; confidence 0.945
+
105. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a1200203.png ; $A \subset Y$ ; confidence 0.990
  
106. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012063.png ; $f ^ { ( n ) } ( \lambda _ { n } ) = 0$ ; confidence 0.945
+
106. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015350/b015350372.png ; $\{ \xi _ { t } \}$ ; confidence 0.990
  
107. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007092.png ; $\sigma ^ { 0 } ( p ^ { \alpha } ) = \sigma ( p ^ { \alpha } )$ ; confidence 0.945
+
107. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110400/b11040029.png ; $F ^ { 2 } = \beta ^ { 2 } \operatorname { exp } \{ \frac { I \gamma } { \beta } \}$ ; confidence 0.990
  
108. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013037.png ; $h ( \theta ) = E _ { \theta } [ H ( \theta , X ) ]$ ; confidence 0.945
+
108. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110420/b11042055.png ; $\mu \in R$ ; confidence 0.990
  
109. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008057.png ; $g ( x ; m , s ) = \left\{ \begin{array} { l l } { \frac { 1 } { s } - \frac { m - x } { s ^ { 2 } } } & { \text { if } m - s \leq x \leq m } \\ { \frac { 1 } { s } - \frac { x - m } { s ^ { 2 } } } & { \text { if } m \leq x \leq m + s } \end{array} \right.$ ; confidence 0.945
+
109. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016550/b01655023.png ; $\mu _ { n } ( t ) = 0$ ; confidence 0.990
  
110. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006058.png ; $S A ( t ) S ^ { - 1 } = A ( t ) + B ( t )$ ; confidence 0.945
+
110. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024800/c02480058.png ; $D \subset D _ { 1 }$ ; confidence 0.990
  
111. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050151.png ; $= \prod _ { m = 2 } ^ { \infty } ( 1 - m ^ { - z } ) ^ { - P ( m ) }$ ; confidence 0.945
+
111. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026870/c02687095.png ; $D U$ ; confidence 0.990
  
112. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010163.png ; $( A ) = n < m$ ; confidence 0.944
+
112. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110220/d11022035.png ; $L y = g$ ; confidence 0.990
  
113. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010167.png ; $\operatorname { rank } ( A ) = m = n$ ; confidence 0.944
+
113. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035560/e03556014.png ; $y ^ { \prime } ( 0 ) = 0$ ; confidence 0.990
  
114. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007045.png ; $d < n$ ; confidence 0.944
+
114. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110100/e11010022.png ; $o ( G )$ ; confidence 0.990
  
115. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010248.png ; $x ^ { ( i ) } \rightarrow x$ ; confidence 0.944
+
115. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040520/f04052043.png ; $| x - x _ { 0 } | \leq b$ ; confidence 0.990
  
116. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120010/b12001032.png ; $\frac { \partial v } { \partial t } - 6 v ^ { 2 } \frac { \partial v } { \partial x } + \frac { \partial ^ { 3 } v } { \partial x ^ { 3 } } = 0$ ; confidence 0.944
+
116. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046300/h046300124.png ; $P _ { n - k }$ ; confidence 0.990
  
117. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024850/c02485065.png ; $A . B$ ; confidence 0.944
+
117. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110400/h11040046.png ; $\int _ { X } | f ( x ) | ^ { 2 } \operatorname { ln } | f ( x ) | d \mu ( x ) \leq$ ; confidence 0.990
  
118. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048420/h048420118.png ; $F _ { j } ( z ) = \sum _ { k = 1 } ^ { N } G _ { j k } ( z )$ ; confidence 0.944
+
118. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i13003026.png ; $[ T ^ { * } M ]$ ; confidence 0.990
  
119. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110070/k11007019.png ; $- w _ { 0 } ( \chi )$ ; confidence 0.944
+
119. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055350/k05535065.png ; $K _ { 0 } ^ { 4 k + 2 }$ ; confidence 0.990
  
120. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057150/l05715026.png ; $\ddot { x } \square _ { \nu } = d \dot { x } \square _ { \nu } / d t$ ; confidence 0.944
+
120. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055610/k055610105.png ; $Q _ { 1 } : A \rightarrow T ^ { \prime } A T$ ; confidence 0.990
  
121. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011033.png ; $S ( R ^ { n } ) \times S ( R ^ { n } )$ ; confidence 0.944
+
121. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840354.png ; $C = C ^ { * }$ ; confidence 0.990
  
122. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010062.png ; $W = \{ 1 \}$ ; confidence 0.944
+
122. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057440/l05744010.png ; $D = 2 \gamma k T / M$ ; confidence 0.990
  
123. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010680/a01068034.png ; $d ( A _ { i } ) = \operatorname { inf } _ { n } A _ { i } ( n ) / n$ ; confidence 0.944
+
123. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063240/m063240457.png ; $\mu _ { i } ( X _ { i } ) = 1$ ; confidence 0.990
  
124. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110070/a1100707.png ; $c > 0$ ; confidence 0.943
+
124. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074140/p074140115.png ; $1 \leq p \leq n / 2$ ; confidence 0.990
  
125. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006035.png ; $u ( 0 ) = u _ { 0 } \in D ( A ) , f \in C ( [ 0 , T ] ; D ( A ) )$ ; confidence 0.943
+
125. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074150/p074150292.png ; $f \in C$ ; confidence 0.990
  
126. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010700/a0107006.png ; $r : A \rightarrow B$ ; confidence 0.943
+
126. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081460/r08146090.png ; $l _ { i } = \lambda _ { i } + n - i$ ; confidence 0.990
  
127. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420120.png ; $y \in G ^ { + }$ ; confidence 0.943
+
127. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082160/r08216057.png ; $N = 0$ ; confidence 0.990
  
128. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035810/e03581038.png ; $\Phi \Psi$ ; confidence 0.943
+
128. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087450/s087450113.png ; $\sum b _ { j } \phi _ { l } ( t _ { j } ) = 0$ ; confidence 0.990
  
129. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040610/f04061036.png ; $C ^ { b r } ( E ^ { n } )$ ; confidence 0.943
+
129. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130210/t13021052.png ; $2 / ( 3 N / 2 )$ ; confidence 0.990
  
130. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076430/q07643044.png ; $f \in W _ { 2 } ^ { 1 }$ ; confidence 0.943
+
130. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097710/w09771067.png ; $N _ { G } ( T ) / Z _ { G } ( T )$ ; confidence 0.990
  
131. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042084.png ; $x _ { 1 } , x _ { 2 } , y _ { 1 } , y _ { 2 } \in G$ ; confidence 0.943
+
131. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120298.png ; $F = \overline { C } \backslash G$ ; confidence 0.990
  
132. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240228.png ; $\zeta _ { 1 } = \ldots = \zeta _ { q } = 0$ ; confidence 0.942
+
132. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690057.png ; $\delta ( b ) ( g , h ) = b ( g ) ^ { - 1 } b ( g h ) ( b ( h ) ^ { g } ) ^ { - 1 }$ ; confidence 0.990
  
133. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010072.png ; $\partial \phi$ ; confidence 0.942
+
133. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004088.png ; $( 1 , d )$ ; confidence 0.990
  
134. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012060.png ; $\lambda ( x , y ) = \operatorname { sup } \{ \lambda : y \geq \lambda x \}$ ; confidence 0.942
+
134. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011100/a01110053.png ; $f : A _ { 1 } \rightarrow A _ { 2 }$ ; confidence 0.990
  
135. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001075.png ; $s ^ { 2 }$ ; confidence 0.942
+
135. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040147.png ; $\square \varphi \rightarrow \psi \in T$ ; confidence 0.990
  
136. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040390/f04039064.png ; $y ^ { i } C _ { i j k } = 0$ ; confidence 0.942
+
136. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a01149038.png ; $x _ { 0 } \in G$ ; confidence 0.990
  
137. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087450/s087450112.png ; $\xi = \sum b _ { j } x ( t _ { j } )$ ; confidence 0.942
+
137. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012017.png ; $\operatorname { lim } _ { x \rightarrow \infty } | \lambda _ { x } | = \infty$ ; confidence 0.990
  
138. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080127.png ; $S _ { n } = s _ { n } + \theta ^ { 2 } F _ { n }$ ; confidence 0.942
+
138. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044670/g0446706.png ; $A _ { x } = 0$ ; confidence 0.990
  
139. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120110/a1201103.png ; $\varphi ( \alpha , 0,1 ) = 0 , \varphi ( \alpha , 0,2 ) = 1$ ; confidence 0.942
+
139. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240172.png ; $\gamma _ { j } = 0$ ; confidence 0.990
  
140. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040266.png ; $K ( x ) \approx L ( x ) = \{ x \approx T \}$ ; confidence 0.942
+
140. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121020.png ; $v ( x ) = \frac { | x | ^ { - 1 / 4 } } { \sqrt { \pi } } [ \operatorname { sin } ( \frac { 2 } { 3 } | x | ^ { 3 / 2 } + \frac { \pi } { 4 } ) + O ( | x | ^ { - 3 / 2 } ) ]$ ; confidence 0.990
  
141. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040242.png ; $K ( \Gamma ) \approx L ( \Gamma ) = \{ \kappa _ { j } ( \psi ) \approx \lambda _ { j } ( \psi ) : \psi \in \Gamma , j \in J \}$ ; confidence 0.942
+
141. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013051.png ; $\theta _ { n } = \theta _ { n - 1 } - \gamma _ { n } H ( \theta _ { n - 1 } , Y _ { n } )$ ; confidence 0.990
  
142. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010034.png ; $T _ { n } ( f )$ ; confidence 0.942
+
142. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110380/a11038054.png ; $\approx 0 \subseteq \approx$ ; confidence 0.990
  
143. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110330/a11033037.png ; $\frac { 1.20 } { \sqrt { b } }$ ; confidence 0.941
+
143. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590438.png ; $D ( \epsilon )$ ; confidence 0.990
  
144. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031280/d031280173.png ; $R ^ { i } F = H ^ { i } \circ R ^ { * } F$ ; confidence 0.941
+
144. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110170/a11017014.png ; $\Omega _ { 0 }$ ; confidence 0.990
  
145. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110220/h1102204.png ; $h : E ^ { m } \rightarrow R$ ; confidence 0.941
+
145. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040119.png ; $F _ { 1 } + F _ { 2 }$ ; confidence 0.990
  
146. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120120/m120120128.png ; $C = Z ( Q )$ ; confidence 0.941
+
146. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110340/a1103407.png ; $C ( \theta _ { i } )$ ; confidence 0.990
  
147. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082500/r08250029.png ; $u _ { 0 } = A ^ { - 1 } f$ ; confidence 0.941
+
147. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a0114604.png ; $C ^ { p } ( X )$ ; confidence 0.990
  
148. https://www.encyclopediaofmath.org/legacyimages/s/s110/s110040/s11004082.png ; $\phi ( T _ { X } N ) \subset T _ { X } N$ ; confidence 0.941
+
148. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052047.png ; $2 ^ { m - 1 } < N \leq 2 ^ { m }$ ; confidence 0.990
  
149. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007099.png ; $n ^ { 10 }$ ; confidence 0.941
+
149. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054270/j05427051.png ; $J = N + W$ ; confidence 0.990
  
150. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018048.png ; $A _ { x } = n$ ; confidence 0.941
+
150. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040329.png ; $E ( x , y )$ ; confidence 0.990
  
151. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007082.png ; $H ( x )$ ; confidence 0.941
+
151. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120468.png ; $f \in ( F ^ { \prime } , \sigma ( F ^ { \prime } , F ) ) \square ^ { \prime }$ ; confidence 0.990
  
152. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a11022096.png ; $\{ R ( f \circ \pi _ { n } ) \}$ ; confidence 0.941
+
152. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120522.png ; $\| f | H \| = \operatorname { dist } ( f , H ^ { 0 } ) , \quad f \in F ^ { * }$ ; confidence 0.990
  
153. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240546.png ; $7$ ; confidence 0.941
+
153. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081370/r0813704.png ; $V = H$ ; confidence 0.990
  
154. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007074.png ; $K _ { 2 } > 0$ ; confidence 0.941
+
154. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011390/a01139031.png ; $\mu _ { i } = \chi _ { i } \nu _ { i }$ ; confidence 0.990
  
155. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040802.png ; $g \circ h = f$ ; confidence 0.940
+
155. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042050.png ; $( K _ { 0 } ( A ) , K _ { 0 } ( A ) ^ { + } , \Sigma ( A ) )$ ; confidence 0.990
  
156. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008047.png ; $+ \frac { d } { d m } \operatorname { ln } g ( L ; m , s ) \frac { d m } { d s } + \frac { d } { d s } \operatorname { ln } g ( L ; m , s ) = 0 , - \frac { d } { d s } \operatorname { ln } \alpha ( s ) = - \frac { d } { d R } \operatorname { ln } \frac { f ( R ) } { g ( R ; m , s ) } \frac { d R } { d s }$ ; confidence 0.940
+
156. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013180/a01318024.png ; $( u , v )$ ; confidence 0.990
  
157. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001034.png ; $SO ( 3 )$ ; confidence 0.940
+
157. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a014170145.png ; $f ( k g \gamma ) = \rho ( k ) f ( g )$ ; confidence 0.990
  
158. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040080/f04008010.png ; $F ^ { * } ( \theta | x ) = 1 - F ( x | \theta )$ ; confidence 0.940
+
158. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h047970134.png ; $( C , A )$ ; confidence 0.989
  
159. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067860/n067860258.png ; $V \subset \rho U$ ; confidence 0.940
+
159. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110070/a11007016.png ; $\Pi _ { p } ( X , Y )$ ; confidence 0.989
  
160. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006032.png ; $u \in C ( [ 0 , T ] ; D ( A ) ) \cap C ^ { 1 } ( [ 0 , T ] ; X )$ ; confidence 0.940
+
160. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010680/a0106805.png ; $F ( z ) = \prod _ { i = 1 } ^ { k } f _ { i } ( z ) = \sum _ { n = 0 } ^ { \infty } r ( n ) z ^ { n }$ ; confidence 0.989
  
161. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008044.png ; $\left( \begin{array} { c c } { 0 } & { - 1 } \\ { A } & { 0 } \end{array} \right)$ ; confidence 0.940
+
161. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006033.png ; $\frac { d u } { d t } + A u = f ( t ) , t \in [ 0 , T ]$ ; confidence 0.989
  
162. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240465.png ; $( f ( t _ { 1 } ) , \ldots , f ( t _ { p } ) )$ ; confidence 0.940
+
162. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110070/k1100709.png ; $\pi : G \rightarrow$ ; confidence 0.989
  
163. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a130070112.png ; $\operatorname { limsup } _ { n \rightarrow \infty , n \in U _ { \alpha } } \frac { \sigma ^ { * } ( n ) } { n } = \alpha$ ; confidence 0.939
+
163. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082090.png ; $\operatorname { dim } G = m$ ; confidence 0.989
  
164. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024110/c02411026.png ; $d = ( d _ { n } )$ ; confidence 0.939
+
164. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050293.png ; $n \rightarrow \infty$ ; confidence 0.989
  
165. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050770/i05077064.png ; $A = \operatorname { lim } _ { \rightarrow } F ( D )$ ; confidence 0.939
+
165. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020065.png ; $\alpha : A \rightarrow B$ ; confidence 0.989
  
166. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120260/s12026061.png ; $\partial _ { s }$ ; confidence 0.939
+
166. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004070.png ; $X = \Gamma \backslash D$ ; confidence 0.989
  
167. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052053.png ; $1$ ; confidence 0.939
+
167. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120200/a12020080.png ; $\lambda \in F \backslash \{ 0 \}$ ; confidence 0.989
  
168. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028068.png ; $y z \in E ( D )$ ; confidence 0.938
+
168. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w12009053.png ; $\Lambda ( n , r )$ ; confidence 0.989
  
169. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052017.png ; $\| A ^ { - 1 } \|$ ; confidence 0.938
+
169. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r07764023.png ; $h ^ { 1 } ( O _ { D } ) = 0$ ; confidence 0.989
  
170. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024073.png ; $\omega P _ { i } P _ { j }$ ; confidence 0.938
+
170. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054270/j05427064.png ; $J / R$ ; confidence 0.989
  
171. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130220/b13022030.png ; $L _ { p } ( T )$ ; confidence 0.938
+
171. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120132.png ; $H _ { r } ( A , X )$ ; confidence 0.989
  
172. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081770/r08177046.png ; $x ^ { T } ( t _ { 1 } ) \Phi x ( t _ { 1 } ) + \int _ { t _ { 0 } } ^ { t _ { 1 } } [ x ^ { T } ( t ) M ( t ) x ( t ) + u ^ { T } ( t ) N ( t ) u ( t ) ] d t$ ; confidence 0.938
+
172. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001032.png ; $g ( \xi ^ { \alpha } , \xi ^ { b } ) = \delta _ { \alpha b }$ ; confidence 0.989
  
173. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013047.png ; $I / 2 - h _ { \theta } ^ { * }$ ; confidence 0.938
+
173. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046054.png ; $\{ x + \xi h : | \xi | \leq 1 \}$ ; confidence 0.989
  
174. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001063.png ; $| \delta x | \leq | A ^ { - 1 } \delta A | | x | + | A ^ { - 1 } \delta A | | \delta x | + | A ^ { - 1 } \delta b |$ ; confidence 0.937
+
174. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065570/m06557011.png ; $L = k v$ ; confidence 0.989
  
175. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004066.png ; $d _ { 1 } \geq 2$ ; confidence 0.937
+
175. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a1100207.png ; $( v , k , \lambda )$ ; confidence 0.989
  
176. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b0153903.png ; $( \Theta , B _ { \Theta } )$ ; confidence 0.937
+
176. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a01146073.png ; $( X )$ ; confidence 0.989
  
177. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046028.png ; $\rho ( x , h ) = \operatorname { sup } \{ | \xi | : x + \xi h \in D \}$ ; confidence 0.937
+
177. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a01146068.png ; $\gamma : C ^ { p } ( X ) \rightarrow H ^ { 2 p } ( X )$ ; confidence 0.989
  
178. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012067.png ; $\{ \nu _ { k } \} \cup \{ \mu _ { n } \} = \{ n \}$ ; confidence 0.937
+
178. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145085.png ; $l ( D ) - 1$ ; confidence 0.989
  
179. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010141.png ; $7$ ; confidence 0.937
+
179. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a12031048.png ; $M ( K )$ ; confidence 0.989
  
180. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044970/g04497028.png ; $E ^ { n } \times R$ ; confidence 0.937
+
180. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120226.png ; $\Gamma ( Y , O _ { X } / \Gamma ( X , O _ { X } ) )$ ; confidence 0.989
  
181. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070290/o07029017.png ; $\Delta = \alpha _ { 2 } c ( b ) - \beta _ { 2 } s ( b ) \neq 0$ ; confidence 0.937
+
181. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a0102209.png ; $f ( z + w _ { \nu } ) = f ( z )$ ; confidence 0.989
  
182. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072950/p07295010.png ; $w ( z ) = \int _ { \gamma } ( t - z ) ^ { \mu + n - 1 } u ( t ) d t$ ; confidence 0.937
+
182. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420143.png ; $1$ ; confidence 0.989
  
183. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075800/p07580013.png ; $\square ^ { n - 1 } R _ { n }$ ; confidence 0.937
+
183. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240396.png ; $M _ { H }$ ; confidence 0.989
  
184. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082040/r08204012.png ; $a _ { 0 } ( z ) \neq 0$ ; confidence 0.937
+
184. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110170/a1101706.png ; $\phi : \Omega \rightarrow \Omega _ { t }$ ; confidence 0.989
  
185. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004077.png ; $A = C ^ { 2 } / \Lambda$ ; confidence 0.937
+
185. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a01165078.png ; $H \times H \rightarrow H$ ; confidence 0.989
  
186. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110170/a11017015.png ; $\Omega _ { t }$ ; confidence 0.937
+
186. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b1302903.png ; $d = \operatorname { dim } A$ ; confidence 0.989
  
187. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040216.png ; $A / ( - 1 ) _ { A }$ ; confidence 0.936
+
187. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020920/c02092043.png ; $x = x ^ { 0 }$ ; confidence 0.989
  
188. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024025.png ; $y , \beta , e$ ; confidence 0.936
+
188. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023550/c023550235.png ; $\beta Y \backslash Y$ ; confidence 0.989
  
189. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005087.png ; $| \prod _ { j = 1 } ^ { k } ( \lambda - A ( t _ { j } ) ) ^ { - 1 } \| _ { X } \leq M ( \lambda - \beta ) ^ { - k }$ ; confidence 0.936
+
189. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025470/c02547051.png ; $\alpha \wedge ( d \alpha ) ^ { n }$ ; confidence 0.989
  
190. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040182.png ; $b \in G$ ; confidence 0.936
+
190. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036530/e03653023.png ; $t h$ ; confidence 0.989
  
191. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008035.png ; $s , t \in R$ ; confidence 0.936
+
191. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023058.png ; $E ( L ) = \frac { \partial L } { \partial y } - D ( \frac { \partial L } { \partial y ^ { \prime } } )$ ; confidence 0.989
  
192. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420154.png ; $K _ { 0 }$ ; confidence 0.936
+
192. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020283.png ; $S ( M ^ { \prime } ) \subset M ^ { \prime }$ ; confidence 0.989
  
193. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040196.png ; $\varphi _ { L } : A \rightarrow P ^ { 4 }$ ; confidence 0.936
+
193. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h046420189.png ; $f = f _ { 1 } * f _ { 2 }$ ; confidence 0.989
  
194. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020650/c0206506.png ; $1 / \mu = d S / d \sigma$ ; confidence 0.936
+
194. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048520/h04852064.png ; $| f | = 1$ ; confidence 0.989
  
195. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120270/c1202706.png ; $t \mapsto \gamma ( t ) = \operatorname { exp } _ { p } ( t v )$ ; confidence 0.936
+
195. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050400/i05040021.png ; $[ t ^ { n } : t ^ { n - 1 } ] = 0$ ; confidence 0.989
  
196. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064990/m06499012.png ; $f : M \rightarrow R$ ; confidence 0.936
+
196. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052110/i05211013.png ; $T \subset R ^ { 1 }$ ; confidence 0.989
  
197. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o13001044.png ; $F : L ^ { 2 } ( D ^ { \prime } ) \rightarrow L ^ { 2 } ( R ^ { 3 } )$ ; confidence 0.936
+
197. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052940/i05294039.png ; $F _ { t } : M ^ { n } \rightarrow M ^ { n }$ ; confidence 0.989
  
198. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070010/o07001011.png ; $G / G _ { X }$ ; confidence 0.936
+
198. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120060/k12006031.png ; $h ^ { 0 } ( K _ { X } \otimes L ^ { * } )$ ; confidence 0.989
  
199. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120080/t12008015.png ; $O _ { S } ^ { * }$ ; confidence 0.936
+
199. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110170/l110170115.png ; $Q \alpha = Q \beta \gamma$ ; confidence 0.989
  
200. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096670/v09667018.png ; $P ^ { 2 r - k }$ ; confidence 0.936
+
200. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062490/m06249090.png ; $\alpha _ { \epsilon } ( h ) = o ( h )$ ; confidence 0.989
  
201. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007098.png ; $2 m$ ; confidence 0.936
+
201. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063140/m06314076.png ; $x _ { 3 } = z$ ; confidence 0.989
  
202. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010218.png ; $| \delta \lambda _ { i } | / \| \delta A \|$ ; confidence 0.936
+
202. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063800/m06380081.png ; $\sigma ( W )$ ; confidence 0.989
  
203. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240403.png ; $SS _ { e }$ ; confidence 0.936
+
203. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081430/r08143084.png ; $A = A _ { 1 } \times A _ { 2 }$ ; confidence 0.989
  
204. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001088.png ; $\leq \frac { \| B r \| } { 1 - \| I - B A \| }$ ; confidence 0.935
+
204. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086520/s086520138.png ; $\theta _ { T } = \theta$ ; confidence 0.989
  
205. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004068.png ; $d _ { 1 } \geq 3$ ; confidence 0.935
+
205. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086650/s08665020.png ; $i > 2 n - 1$ ; confidence 0.989
  
206. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007059.png ; $< x \operatorname { exp } ( - \frac { 1 } { 25 } ( \operatorname { log } x \operatorname { log } \operatorname { log } x ) ^ { 1 / 2 } )$ ; confidence 0.935
+
206. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092650/t09265019.png ; $u x + v x ^ { 2 } + w x ^ { 3 } + t x ^ { 4 }$ ; confidence 0.989
  
207. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130150/c1301504.png ; $C ^ { \infty } ( D ( \Omega ) )$ ; confidence 0.935
+
207. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094650/t09465038.png ; $\forall v \phi$ ; confidence 0.989
  
208. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073330/p07333012.png ; $d S _ { n }$ ; confidence 0.935
+
208. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087080/s08708042.png ; $I ( T , \aleph _ { 1 } ) = 1$ ; confidence 0.989
  
209. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024059.png ; $( i , j )$ ; confidence 0.935
+
209. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028074.png ; $\omega ( H )$ ; confidence 0.989
  
210. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018021.png ; $20$ ; confidence 0.935
+
210. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l058720145.png ; $p = 7$ ; confidence 0.989
  
211. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020230/c02023043.png ; $X \backslash K _ { X }$ ; confidence 0.934
+
211. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797078.png ; $\Delta x$ ; confidence 0.989
  
212. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120300/d1203009.png ; $Y ( t ) \in R ^ { m }$ ; confidence 0.934
+
212. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b12021016.png ; $L ( \lambda )$ ; confidence 0.989
  
213. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040850/f040850122.png ; $A \rightarrow w$ ; confidence 0.934
+
213. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a110220116.png ; $( H , C , m )$ ; confidence 0.989
  
214. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044350/g04435074.png ; $d ( \Lambda ) = \Delta ( \mathfrak { M } )$ ; confidence 0.934
+
214. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240542.png ; $( T _ { 1 } , T _ { 2 } )$ ; confidence 0.989
  
215. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110200/h11020058.png ; $\Psi ( y _ { n } ) \subseteq \Psi ( y _ { 0 } )$ ; confidence 0.934
+
215. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016150/b01615014.png ; $n \leq 6$ ; confidence 0.989
  
216. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060830/l06083045.png ; $b \in Q$ ; confidence 0.934
+
216. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031610/d03161042.png ; $f x$ ; confidence 0.989
  
217. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024032.png ; $m \times p$ ; confidence 0.934
+
217. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a01130047.png ; $\gamma _ { \mu } ( x _ { i } ) = t _ { i }$ ; confidence 0.989
  
218. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040798.png ; $f : A \rightarrow C$ ; confidence 0.933
+
218. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052056.png ; $q > 0$ ; confidence 0.989
  
219. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029042.png ; $x ( \xi )$ ; confidence 0.933
+
219. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020570/c02057065.png ; $H ^ { p + 1 } ( X , S ) \rightarrow$ ; confidence 0.989
  
220. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013054.png ; $t _ { n }$ ; confidence 0.933
+
220. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590135.png ; $V ( \infty ) = \{ z \in \overline { C } : | z | > R \}$ ; confidence 0.989
  
221. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026870/c026870129.png ; $( \nabla _ { X } U ) _ { p }$ ; confidence 0.933
+
221. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024054.png ; $u _ { i } = \int _ { L } \phi _ { i }$ ; confidence 0.989
  
222. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032060/d03206019.png ; $\sum _ { n = 1 } ^ { \infty } | x _ { n } ( t ) |$ ; confidence 0.933
+
222. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120386.png ; $\omega ( \zeta )$ ; confidence 0.989
  
223. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120030/k12003036.png ; $F _ { M } : G \rightarrow C ^ { * }$ ; confidence 0.933
+
223. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120521.png ; $F ^ { * } / H ^ { 0 }$ ; confidence 0.989
  
224. https://www.encyclopediaofmath.org/legacyimages/o/o120/o120020/o1200204.png ; $\alpha = 1 / 2$ ; confidence 0.933
+
224. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110490/a11049036.png ; $F = C$ ; confidence 0.989
  
225. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087780/s08778069.png ; $x [ M ^ { n } ] = \alpha ( x )$ ; confidence 0.933
+
225. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025930/c0259308.png ; $\phi ^ { * } ( g ) = \phi ( g ^ { - 1 } ) ^ { * }$ ; confidence 0.989
  
226. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010330/a0103309.png ; $\beta _ { r } = \int _ { - \infty } ^ { + \infty } | x | ^ { r } d F ( x )$ ; confidence 0.933
+
226. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450105.png ; $l ( D ) = r$ ; confidence 0.989
  
227. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a11030039.png ; $\operatorname { deg } \alpha _ { i } = 2 i - 1$ ; confidence 0.933
+
227. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095400/u09540022.png ; $p ^ { t }$ ; confidence 0.989
  
228. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120110/a1201109.png ; $\varphi ( \alpha , b , 3 )$ ; confidence 0.933
+
228. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a011300156.png ; $\Delta _ { i } ( t )$ ; confidence 0.989
  
229. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060129.png ; $90$ ; confidence 0.933
+
229. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010820/a01082048.png ; $\alpha : X \rightarrow G ( Y )$ ; confidence 0.988
  
230. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008011.png ; $U \leq f ( X ) / h ( X )$ ; confidence 0.932
+
230. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590224.png ; $f _ { \zeta } = f _ { \zeta } ( z ) =$ ; confidence 0.988
  
231. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021061.png ; $\omega ^ { \prime } = \omega - A _ { 1 } \phi _ { 1 } - \ldots - A _ { g } \phi _ { g }$ ; confidence 0.932
+
231. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095410/u09541041.png ; $U _ { i } / U _ { i + 1 }$ ; confidence 0.988
  
232. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001038.png ; $\eta ^ { \alpha } ( Y ) = g ( \xi ^ { \alpha } , Y )$ ; confidence 0.932
+
232. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010710/a0107106.png ; $N ^ { k } \subseteq A$ ; confidence 0.988
  
233. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013046.png ; $\frac { \partial } { \partial t _ { k } } F _ { i j } = \frac { \partial } { \partial t _ { i } } F _ { j k }$ ; confidence 0.932
+
233. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300104.png ; $d ( A , B ) : B ^ { A } \cong A ^ { * } B ^ { * }$ ; confidence 0.988
  
234. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020950/c0209509.png ; $u ( x _ { 0 } ) = u _ { 0 }$ ; confidence 0.932
+
234. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590284.png ; $P = \{ z = ( z _ { 1 } , z _ { 2 } ) \in C ^ { 2 } : z _ { 2 } = 0 \}$ ; confidence 0.988
  
235. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130040/r13004063.png ; $u _ { 1 } = | \frac { \partial u } { \partial n } | = 0$ ; confidence 0.932
+
235. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001055.png ; $\| A ^ { - 1 } \| = 10 ^ { 5 }$ ; confidence 0.988
  
236. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130130/r13013012.png ; $P _ { \sigma } = \frac { 1 } { 2 \pi i } \int _ { \Gamma } ( \lambda - A ) ^ { - 1 } d \lambda$ ; confidence 0.932
+
236. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d03412070.png ; $H _ { r } ( X , A )$ ; confidence 0.988
  
237. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091390/s0913909.png ; $\frac { x ^ { 2 } } { p } - \frac { y ^ { 2 } } { q } = 2 z$ ; confidence 0.932
+
237. https://www.encyclopediaofmath.org/legacyimages/i/i053/i053060/i05306040.png ; $K \times A \times N$ ; confidence 0.988
  
238. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t12005046.png ; $d f _ { x } : R ^ { n } \rightarrow R ^ { p }$ ; confidence 0.932
+
238. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n066900122.png ; $( m , \phi ) \rightarrow \phi$ ; confidence 0.988
  
239. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110160/b11016019.png ; $f ( x ) = a x + b$ ; confidence 0.931
+
239. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121075.png ; $y _ { 1 } ( x )$ ; confidence 0.988
  
240. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110330/c1103309.png ; $p _ { i } \in S$ ; confidence 0.931
+
240. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058520/l05852070.png ; $x = s + n$ ; confidence 0.988
  
241. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091100/s0911009.png ; $\lambda _ { n } = 1 / ( n + 1 ) ^ { s }$ ; confidence 0.931
+
241. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020024.png ; $\mathfrak { F } ( \mathfrak { D } , \mathfrak { A } )$ ; confidence 0.988
  
242. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150306.png ; $= C$ ; confidence 0.931
+
242. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081030.png ; $L ( x ) = 0 , \quad L ( x ) \equiv \dot { x } + A ( t ) x , \quad t \in I$ ; confidence 0.988
  
243. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050129.png ; $\frac { \partial u } { \partial t } + \sum _ { j = 1 } ^ { m } \alpha _ { j } ( t , u ) \frac { \partial u } { \partial x _ { j } } = f ( t , u )$ ; confidence 0.931
+
243. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310132.png ; $A ^ { \infty }$ ; confidence 0.988
  
244. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001077.png ; $\delta x = A ^ { - 1 } r$ ; confidence 0.931
+
244. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010950/a01095092.png ; $\xi ^ { i } ( x ^ { t } ) e _ { i } ( t )$ ; confidence 0.988
  
245. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010640/a01064020.png ; $d ( m )$ ; confidence 0.930
+
245. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097710/w09771019.png ; $N _ { G } ( T _ { 0 } )$ ; confidence 0.988
  
246. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021720/c02172031.png ; $b _ { k } ^ { \prime } = ( - 1 ) ^ { k + 1 } b _ { k }$ ; confidence 0.930
+
246. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a011380121.png ; $( \mathfrak { B } \rightarrow \mathfrak { A } ) = 1$ ; confidence 0.988
  
247. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023890/c02389043.png ; $\{ d F _ { i } \} _ { 1 } ^ { m }$ ; confidence 0.930
+
247. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a01137067.png ; $F , F _ { 0 } \in X$ ; confidence 0.988
  
248. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047740/h04774059.png ; $0 \rightarrow A ^ { \prime } \rightarrow A \rightarrow A ^ { \prime \prime } \rightarrow 0$ ; confidence 0.930
+
248. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005023.png ; $0 \leq s \leq r \leq t \leq T$ ; confidence 0.988
  
249. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110110/m11011038.png ; $\square _ { q } F _ { p - 1 }$ ; confidence 0.930
+
249. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a01146017.png ; $\gamma ( Z ) \in H ^ { 2 p } ( X , Z )$ ; confidence 0.988
  
250. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110130/m11013015.png ; $E S$ ; confidence 0.930
+
250. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059250/l05925051.png ; $( V )$ ; confidence 0.988
  
251. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064190/m064190102.png ; $u | _ { \Gamma } = \psi$ ; confidence 0.930
+
251. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110410/a11041057.png ; $n \geq 3$ ; confidence 0.988
  
252. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094530/t094530109.png ; $\sum ( k _ { i } - 1 )$ ; confidence 0.930
+
252. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008036.png ; $\operatorname { ln } ( f ( x ) / g ( x ; m , s ) )$ ; confidence 0.988
  
253. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130100/z13010033.png ; $\forall y ( \neg y \in x )$ ; confidence 0.930
+
253. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042055.png ; $K _ { 0 } ( A ) ^ { + }$ ; confidence 0.988
  
254. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012020.png ; $\lambda _ { n } = n ^ { 1 / \rho } l ( n )$ ; confidence 0.930
+
254. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042068.png ; $\alpha ( \Sigma ( A ) ) = \Sigma ( B )$ ; confidence 0.988
  
255. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004012.png ; $n = 2$ ; confidence 0.929
+
255. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012940/a01294081.png ; $f \in F$ ; confidence 0.988
  
256. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a1202208.png ; $| x | | \leq 1$ ; confidence 0.929
+
256. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017290/b01729088.png ; $A = R ( X )$ ; confidence 0.988
  
257. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008058.png ; $X \leftarrow m + s ( U _ { 1 } + U _ { 2 } - 1 )$ ; confidence 0.929
+
257. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b120420159.png ; $\lambda _ { W } : V \otimes W \rightarrow W \otimes V$ ; confidence 0.988
  
258. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081460/r081460129.png ; $V _ { \lambda } ^ { 0 } \subset V _ { \lambda }$ ; confidence 0.929
+
258. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024120/c02412084.png ; $\int _ { - \infty } ^ { \infty } ( P ( x ) / Q ( x ) ) d x$ ; confidence 0.988
  
259. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120190/w12019047.png ; $P = - i \hbar \nabla _ { x }$ ; confidence 0.929
+
259. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024990/c02499018.png ; $\int _ { - \pi } ^ { \pi } f ( x ) d x = 0$ ; confidence 0.988
  
260. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240374.png ; $F = Z _ { 1 } M _ { E } ^ { - 1 } Z _ { 1 } ^ { \prime }$ ; confidence 0.929
+
260. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110410/c11041077.png ; $B _ { 1 }$ ; confidence 0.988
  
261. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012072.png ; $( A , I )$ ; confidence 0.928
+
261. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033110/d03311036.png ; $| \{ Z \} _ { n } | \rightarrow \infty$ ; confidence 0.988
  
262. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120110/a12011025.png ; $T ( 0 , n ) = 2 n$ ; confidence 0.928
+
262. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041060/f041060172.png ; $X ^ { \prime } \subset X$ ; confidence 0.988
  
263. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021044.png ; $B _ { i j } = \int _ { b _ { j } } \phi _ { i }$ ; confidence 0.928
+
263. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020256.png ; $C ^ { ( 0 ) }$ ; confidence 0.988
  
264. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001015.png ; $x$ ; confidence 0.928
+
264. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047210/h04721080.png ; $X _ { 1 } \cap Y _ { 1 } = \emptyset$ ; confidence 0.988
  
265. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110490/b1104909.png ; $P _ { 1 }$ ; confidence 0.928
+
265. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110080/i11008014.png ; $g \in E$ ; confidence 0.988
  
266. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080060/r080060177.png ; $\{ r _ { n } + r _ { n } ^ { \prime } \}$ ; confidence 0.928
+
266. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063240/m063240221.png ; $E \in S ( R )$ ; confidence 0.988
  
267. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093230/t09323071.png ; $X \rightarrow P L / O$ ; confidence 0.928
+
267. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064000/m06400065.png ; $W ( N )$ ; confidence 0.988
  
268. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050280.png ; $N _ { G } ^ { \# } ( x ) = \sum _ { n \leq x } G ^ { \# } ( n )$ ; confidence 0.928
+
268. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066340/n06634047.png ; $X _ { i } \subset \Delta _ { 1 } ^ { i }$ ; confidence 0.988
  
269. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010284.png ; $C u = \lambda B u$ ; confidence 0.927
+
269. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110010/r110010167.png ; $k ( \pi )$ ; confidence 0.988
  
270. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021038.png ; $\delta _ { i i } = 1$ ; confidence 0.927
+
270. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087420/s08742011.png ; $H = H _ { V } ( \omega )$ ; confidence 0.988
  
271. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065300/m06530022.png ; $\otimes _ { i = 1 } ^ { n } E _ { i } \rightarrow F$ ; confidence 0.927
+
271. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087800/s08780026.png ; $x + C$ ; confidence 0.988
  
272. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010700/a01070026.png ; $( \alpha , c ) \in A \oplus C$ ; confidence 0.927
+
272. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590149.png ; $\operatorname { lim } f ( z )$ ; confidence 0.988
  
273. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007073.png ; $n ^ { \prime }$ ; confidence 0.926
+
273. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l05851080.png ; $\beta - p \alpha \in \Sigma$ ; confidence 0.988
  
274. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055520/k055520124.png ; $\frac { 1 } { 2 \pi } \{ \text { hyperbolic area of } \Omega \backslash \Gamma \} \leq 2 ( N - 1 )$ ; confidence 0.926
+
274. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010950/a01095074.png ; $\omega ^ { i } = d x ^ { i }$ ; confidence 0.988
  
275. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130620/s13062062.png ; $m _ { 0 } ( \lambda ) = A + \int _ { - \infty } ^ { \infty } ( \frac { 1 } { t - \lambda } - \frac { t } { t ^ { 2 } + 1 } ) d \rho _ { 0 } ( t )$ ; confidence 0.926
+
275. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074720/p07472044.png ; $H ^ { 1 } ( S , O _ { S } )$ ; confidence 0.988
  
276. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050131.png ; $R \times R ^ { m }$ ; confidence 0.926
+
276. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a011210101.png ; $2 \pi / 3$ ; confidence 0.988
  
277. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006019.png ; $P _ { N } ( n )$ ; confidence 0.926
+
277. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l05851074.png ; $[ X _ { \alpha } , X _ { \beta } ] = \left\{ \begin{array} { l l } { N _ { \alpha , \beta } X _ { \alpha + \beta } } & { \text { if } \alpha + \beta \in \Sigma } \\ { 0 } & { \text { if } \alpha + \beta \notin \Sigma } \end{array} \right.$ ; confidence 0.988
  
278. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067430/n06743015.png ; $\sum _ { k = 1 } ^ { \infty } \| u _ { k } \| = \sum _ { k = 1 } ^ { \infty } 1 / k$ ; confidence 0.925
+
278. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012290/a0122904.png ; $( x , y ) \rightarrow x y ^ { - 1 }$ ; confidence 0.988
  
279. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076820/q076820199.png ; $f ( \xi _ { T } ( t ) )$ ; confidence 0.925
+
279. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040511.png ; $\{ F / \Omega C : F \in C \}$ ; confidence 0.988
  
280. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010156.png ; $\delta x = [ ( A + \delta A ) ^ { + } - A ^ { + } ] b + ( A + \delta A ) ^ { + } \delta b$ ; confidence 0.924
+
280. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010710/a01071038.png ; $N = \cap _ { i } Q$ ; confidence 0.988
  
281. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021037.png ; $A _ { j } = \int _ { \alpha _ { j } } \phi _ { i } = \delta _ { i j }$ ; confidence 0.924
+
281. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007011.png ; $p = 2 ^ { n + 1 } - 1$ ; confidence 0.988
  
282. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110170/a11017024.png ; $f +$ ; confidence 0.924
+
282. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b1204003.png ; $G \times E \rightarrow E$ ; confidence 0.988
  
283. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420150.png ; $K _ { 0 } ( \varphi )$ ; confidence 0.924
+
283. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240505.png ; $Z _ { 12 } , Z _ { 13 }$ ; confidence 0.988
  
284. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022330/c0223301.png ; $a ( r )$ ; confidence 0.924
+
284. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a0101802.png ; $n \geq 5$ ; confidence 0.988
  
285. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043280/g04328069.png ; $H _ { i } ( x ^ { \prime } ) > H _ { i } ( x ^ { \prime \prime } )$ ; confidence 0.924
+
285. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130020/a13002010.png ; $\mu _ { n } = \mu \circ T ^ { - n }$ ; confidence 0.987
  
286. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062560/m06256075.png ; $K _ { y } ^ { \alpha }$ ; confidence 0.924
+
286. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070010/o07001044.png ; $( g f ) ( u , v ) = f ( g ^ { - 1 } ( u ) , g ^ { - 1 } ( v ) ) \quad \text { for any } u , v \in V$ ; confidence 0.987
  
287. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040105.png ; $L = O _ { A } ( C )$ ; confidence 0.924
+
287. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240323.png ; $H : X _ { 3 } B = 0$ ; confidence 0.987
  
288. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040751.png ; $r \in R$ ; confidence 0.924
+
288. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054270/j05427031.png ; $\Gamma = \operatorname { diag } \{ \gamma _ { 1 } , \gamma _ { 2 } , \gamma _ { 3 } \} , \quad \gamma _ { i } \neq 0 , \quad \gamma _ { i } \in F$ ; confidence 0.987
  
289. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001075.png ; $r = A x - b$ ; confidence 0.924
+
289. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121022.png ; $v ( x )$ ; confidence 0.987
  
290. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007078.png ; $\rightarrow \infty \operatorname { log } Q ( x ) / \operatorname { log } \operatorname { log } x \geq 5 / 48$ ; confidence 0.924
+
290. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120528.png ; $x : f \rightarrow f ( x )$ ; confidence 0.987
  
291. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240497.png ; $\beta _ { 11 } = \beta _ { 21 }$ ; confidence 0.923
+
291. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080900/r08090019.png ; $C _ { G } ( s )$ ; confidence 0.987
  
292. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012013.png ; $v = ( v _ { j } )$ ; confidence 0.923
+
292. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010930/a0109303.png ; $\rho \frac { d V } { d t } = \rho g - \nabla p$ ; confidence 0.987
  
293. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a1101608.png ; $n = 100,000$ ; confidence 0.923
+
293. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012053.png ; $( x ^ { j } , y ^ { j } ) \in J$ ; confidence 0.987
  
294. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007077.png ; $Q ( x ) \geq \operatorname { Clog } x \operatorname { log } \operatorname { log } x / ( \operatorname { log } \operatorname { log } \operatorname { log } x ) ^ { 2 }$ ; confidence 0.923
+
294. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s130540110.png ; $K _ { 1 } R$ ; confidence 0.987
  
295. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420134.png ; $K _ { 0 } ( I ) \rightarrow K _ { 0 } ( A )$ ; confidence 0.923
+
295. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164049.png ; $q ( V ) = \operatorname { dim } _ { k } H ^ { 1 } ( V , O _ { V } )$ ; confidence 0.987
  
296. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046010/h046010125.png ; $M _ { 2 } \times S ^ { N }$ ; confidence 0.923
+
296. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010048.png ; $R ( I + \lambda A = X$ ; confidence 0.987
  
297. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048190/h0481908.png ; $\nu = 0$ ; confidence 0.923
+
297. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110070/k11007035.png ; $H ^ { 0 } ( G / B , L _ { \chi } )$ ; confidence 0.987
  
298. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130070/j13007031.png ; $L = \angle \operatorname { lim } _ { z \rightarrow \omega } f ( z )$ ; confidence 0.923
+
298. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600234.png ; $k _ { p }$ ; confidence 0.987
  
299. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017067.png ; $I$ ; confidence 0.923
+
299. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027190/c0271904.png ; $( n = 2 )$ ; confidence 0.987
  
300. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085560/s0855608.png ; $| \sigma ^ { n } |$ ; confidence 0.923
+
300. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047410/h047410142.png ; $( x , y ) = \{ ( \xi , \eta ) : F ( x , y , \xi , \eta ) \leq 1 \}$ ; confidence 0.987

Latest revision as of 09:58, 17 October 2019

List

1. a01012053.png ; $| \lambda _ { k } | \geq 1$ ; confidence 0.991

2. a130070105.png ; $\sigma ^ { * } ( d ) < \alpha d$ ; confidence 0.991

3. a11040019.png ; $T ^ { * } ( t ) = ( T ( t ) ) ^ { * }$ ; confidence 0.991

4. a11064015.png ; $1$ ; confidence 0.991

5. o07001069.png ; $G \rightarrow G ( x )$ ; confidence 0.991

6. a120070100.png ; $< 2 m$ ; confidence 0.991

7. c02593040.png ; $\phi ^ { * } ( g )$ ; confidence 0.991

8. a01295056.png ; $p = 2$ ; confidence 0.991

9. a011460122.png ; $A ^ { * } ( X )$ ; confidence 0.991

10. n06690080.png ; $\delta \alpha = d \alpha - \frac { 1 } { 2 } [ \alpha , \alpha ]$ ; confidence 0.991

11. a110010134.png ; $\operatorname { rank } ( A ) = \operatorname { rank } ( A + \epsilon A _ { 1 } )$ ; confidence 0.991

12. r07763056.png ; $\phi \mapsto \delta _ { \phi }$ ; confidence 0.991

13. a11042066.png ; $\alpha : K _ { 0 } ( A ) \rightarrow K _ { 0 } ( B )$ ; confidence 0.991

14. a13013040.png ; $Q ^ { ( n ) } = \sum _ { j = 0 } ^ { n } Q _ { j } z ^ { n - j }$ ; confidence 0.991

15. a01021067.png ; $( 1 / z ) d z$ ; confidence 0.991

16. a01172012.png ; $\operatorname { Red } : X ( K ) \rightarrow X _ { 0 } ( k )$ ; confidence 0.991

17. a13029031.png ; $P \rightarrow \Sigma$ ; confidence 0.991

18. a01409051.png ; $\psi ( t _ { i } )$ ; confidence 0.991

19. a13032030.png ; $Y _ { i } = 2 X _ { i } - 1$ ; confidence 0.991

20. b11019019.png ; $x ^ { * } ( x ^ { * } y ) = x \wedge y$ ; confidence 0.991

21. b01740070.png ; $k ^ { \prime } = 1$ ; confidence 0.991

22. c0222907.png ; $\theta \leq 1 / 2$ ; confidence 0.991

23. c02515011.png ; $Y \in T _ { y } ( P )$ ; confidence 0.991

24. c025350104.png ; $B \rightarrow H$ ; confidence 0.991

25. c0257107.png ; $U = U ( x _ { 0 } )$ ; confidence 0.991

26. c02589013.png ; $( T ^ { * } ( t ) = T ( t ) )$ ; confidence 0.991

27. c02623020.png ; $c _ { 1 } = f ^ { \prime } ( 0 ) = 1$ ; confidence 0.991

28. d03125044.png ; $\phi : A \rightarrow A$ ; confidence 0.991

29. d033340195.png ; $\lambda _ { 3 } = K \sum _ { i j } \frac { \delta _ { i j } ^ { 2 } } { \sigma ^ { 2 } }$ ; confidence 0.991

30. d033530133.png ; $\zeta ( \sigma + i t ) \neq 0$ ; confidence 0.991

31. f03822036.png ; $Q \subset P ^ { 4 }$ ; confidence 0.991

32. f130100140.png ; $G = T$ ; confidence 0.991

33. f04105039.png ; $f \in L _ { 1 }$ ; confidence 0.991

34. f041250105.png ; $L _ { k } ( z _ { k } )$ ; confidence 0.991

35. f04127030.png ; $\alpha < \beta < \gamma$ ; confidence 0.991

36. f04179028.png ; $( n ! ) ^ { - 1 } n _ { D }$ ; confidence 0.991

37. h04797023.png ; $\mu ^ { * } : A ^ { * } \rightarrow A ^ { * } \otimes A ^ { * }$ ; confidence 0.991

38. h1103003.png ; $\psi ( x ) = \sum x ^ { \prime } \otimes x ^ { \prime \prime }$ ; confidence 0.991

39. k05585032.png ; $W _ { \alpha } ( P ) \subseteq ( D _ { \alpha } ) ^ { n }$ ; confidence 0.991

40. l12019010.png ; $\lambda _ { j } + \overline { \lambda } _ { k } = 0$ ; confidence 0.991

41. m06371076.png ; $\int _ { c } ^ { \infty } f ( x ) d x$ ; confidence 0.991

42. m11018050.png ; $J ( F G / I ) = 0$ ; confidence 0.991

43. m06525013.png ; $G _ { 1 } / N$ ; confidence 0.991

44. n067150152.png ; $A : G \rightarrow Y$ ; confidence 0.991

45. q07653051.png ; $x ^ { 1 } = 0$ ; confidence 0.991

46. r08093022.png ; $R _ { 0 } \subset F$ ; confidence 0.991

47. r08243011.png ; $\gamma _ { t } ( x + y ) = \sum _ { r = 0 } ^ { t } \gamma _ { r } ( x ) \gamma _ { t - r } ( y )$ ; confidence 0.991

48. a130240461.png ; $f ( t ) = \beta _ { 0 } + \beta _ { 1 } t + \ldots + \beta _ { k } t ^ { k }$ ; confidence 0.991

49. a130240437.png ; $( p \times q )$ ; confidence 0.991

50. a01110052.png ; $A ^ { \prime }$ ; confidence 0.991

51. a120070113.png ; $L ^ { p } ( \Omega )$ ; confidence 0.991

52. a011650238.png ; $P _ { j } \in \Omega _ { p }$ ; confidence 0.991

53. a01018061.png ; $\phi ( s )$ ; confidence 0.991

54. a11006031.png ; $\{ X _ { t } : t \in Z ^ { 1 } \}$ ; confidence 0.991

55. a01081041.png ; $L ( x ) = 0$ ; confidence 0.991

56. a110040139.png ; $J ( C ) / E$ ; confidence 0.991

57. a01165072.png ; $G \times G \rightarrow G$ ; confidence 0.991

58. n066900107.png ; $( m , \phi )$ ; confidence 0.991

59. a01417013.png ; $M = D$ ; confidence 0.991

60. a13008080.png ; $n = 3$ ; confidence 0.991

61. m06301073.png ; $p = n / 2$ ; confidence 0.991

62. a01020090.png ; $\psi : B \rightarrow C$ ; confidence 0.991

63. d034120506.png ; $F = \prod _ { \alpha } F _ { \alpha }$ ; confidence 0.991

64. c02057060.png ; $\overline { \partial } f = g$ ; confidence 0.991

65. a011480137.png ; $f ( x _ { 0 } , y )$ ; confidence 0.991

66. a1101102.png ; $V _ { T }$ ; confidence 0.991

67. a0105204.png ; $( A + F _ { M } ) x = b + k _ { M }$ ; confidence 0.991

68. l05872087.png ; $\operatorname { Der } _ { k } ( A )$ ; confidence 0.991

69. l05868033.png ; $\Gamma _ { 0 } \subset \Gamma ( G ) \subset \Gamma _ { 1 }$ ; confidence 0.991

70. r0809004.png ; $C _ { G } ( S )$ ; confidence 0.991

71. a13007095.png ; $\alpha \geq 3$ ; confidence 0.991

72. a01052031.png ; $g ( A )$ ; confidence 0.991

73. w12009054.png ; $\Lambda ^ { + } ( n , r )$ ; confidence 0.990

74. a11040035.png ; $\sigma ( A ^ { \odot } ) = \sigma ( A ^ { * } ) = \sigma ( A )$ ; confidence 0.990

75. a11022014.png ; $C _ { \pi } = \{ \pi ^ { - 1 } B : B \in B ( \pi H ) \}$ ; confidence 0.990

76. a01174037.png ; $y ^ { \prime } = c y + f ( x )$ ; confidence 0.990

77. a130240494.png ; $k = 1$ ; confidence 0.990

78. a011450110.png ; $l ( D ) \geq 1$ ; confidence 0.990

79. a0114607.png ; $C ^ { 1 } ( X )$ ; confidence 0.990

80. a01099029.png ; $r = r ( u ^ { 1 } , u ^ { 2 } )$ ; confidence 0.990

81. a01067021.png ; $d x = f ( x , t ) d t + d w$ ; confidence 0.990

82. a01152030.png ; $G ( x )$ ; confidence 0.990

83. a130240340.png ; $H : X _ { 3 } \Gamma = 0$ ; confidence 0.990

84. s085590593.png ; $h ( x ) = \frac { \rho X ( x ) } { \| X ( x ) \| }$ ; confidence 0.990

85. d030700235.png ; $\operatorname { dim } V = n$ ; confidence 0.990

86. a014170150.png ; $X = K \backslash G$ ; confidence 0.990

87. a12010023.png ; $A : D ( A ) \subset X \rightarrow 2 ^ { X }$ ; confidence 0.990

88. f040820126.png ; $\gamma ( T )$ ; confidence 0.990

89. a011370142.png ; $\operatorname { Re } ( f )$ ; confidence 0.990

90. a12012080.png ; $t \geq 0$ ; confidence 0.990

91. r07764081.png ; $s = f ( x )$ ; confidence 0.990

92. a01160023.png ; $( x , y ) \in Z \times Z$ ; confidence 0.990

93. j05427036.png ; $J _ { 1 } : X \rightarrow X ^ { \prime }$ ; confidence 0.990

94. w120090357.png ; $G _ { K } ( V )$ ; confidence 0.990

95. a13024097.png ; $y = \alpha + \beta t +$ ; confidence 0.990

96. a11002014.png ; $d , d ^ { \prime } \in D$ ; confidence 0.990

97. s08521033.png ; $1 > 3$ ; confidence 0.990

98. a01121083.png ; $q ( x , \lambda )$ ; confidence 0.990

99. a11016038.png ; $\lambda$ ; confidence 0.990

100. a11041034.png ; $( S , K _ { S } ^ { t - 1 } \otimes L )$ ; confidence 0.990

101. a11042064.png ; $( K _ { 0 } ( A ) , K _ { 0 } ( A ) ^ { + } , \Sigma ( A ) )$ ; confidence 0.990

102. a11037025.png ; $\{ X _ { k } ^ { + } : k \geq 1 \}$ ; confidence 0.990

103. t120010148.png ; $T ^ { 2 } \times SO ( 3 )$ ; confidence 0.990

104. a01024055.png ; $L \subset F$ ; confidence 0.990

105. a1200203.png ; $A \subset Y$ ; confidence 0.990

106. b015350372.png ; $\{ \xi _ { t } \}$ ; confidence 0.990

107. b11040029.png ; $F ^ { 2 } = \beta ^ { 2 } \operatorname { exp } \{ \frac { I \gamma } { \beta } \}$ ; confidence 0.990

108. b11042055.png ; $\mu \in R$ ; confidence 0.990

109. b01655023.png ; $\mu _ { n } ( t ) = 0$ ; confidence 0.990

110. c02480058.png ; $D \subset D _ { 1 }$ ; confidence 0.990

111. c02687095.png ; $D U$ ; confidence 0.990

112. d11022035.png ; $L y = g$ ; confidence 0.990

113. e03556014.png ; $y ^ { \prime } ( 0 ) = 0$ ; confidence 0.990

114. e11010022.png ; $o ( G )$ ; confidence 0.990

115. f04052043.png ; $| x - x _ { 0 } | \leq b$ ; confidence 0.990

116. h046300124.png ; $P _ { n - k }$ ; confidence 0.990

117. h11040046.png ; $\int _ { X } | f ( x ) | ^ { 2 } \operatorname { ln } | f ( x ) | d \mu ( x ) \leq$ ; confidence 0.990

118. i13003026.png ; $[ T ^ { * } M ]$ ; confidence 0.990

119. k05535065.png ; $K _ { 0 } ^ { 4 k + 2 }$ ; confidence 0.990

120. k055610105.png ; $Q _ { 1 } : A \rightarrow T ^ { \prime } A T$ ; confidence 0.990

121. k055840354.png ; $C = C ^ { * }$ ; confidence 0.990

122. l05744010.png ; $D = 2 \gamma k T / M$ ; confidence 0.990

123. m063240457.png ; $\mu _ { i } ( X _ { i } ) = 1$ ; confidence 0.990

124. p074140115.png ; $1 \leq p \leq n / 2$ ; confidence 0.990

125. p074150292.png ; $f \in C$ ; confidence 0.990

126. r08146090.png ; $l _ { i } = \lambda _ { i } + n - i$ ; confidence 0.990

127. r08216057.png ; $N = 0$ ; confidence 0.990

128. s087450113.png ; $\sum b _ { j } \phi _ { l } ( t _ { j } ) = 0$ ; confidence 0.990

129. t13021052.png ; $2 / ( 3 N / 2 )$ ; confidence 0.990

130. w09771067.png ; $N _ { G } ( T ) / Z _ { G } ( T )$ ; confidence 0.990

131. d034120298.png ; $F = \overline { C } \backslash G$ ; confidence 0.990

132. n06690057.png ; $\delta ( b ) ( g , h ) = b ( g ) ^ { - 1 } b ( g h ) ( b ( h ) ^ { g } ) ^ { - 1 }$ ; confidence 0.990

133. a11004088.png ; $( 1 , d )$ ; confidence 0.990

134. a01110053.png ; $f : A _ { 1 } \rightarrow A _ { 2 }$ ; confidence 0.990

135. a130040147.png ; $\square \varphi \rightarrow \psi \in T$ ; confidence 0.990

136. a01149038.png ; $x _ { 0 } \in G$ ; confidence 0.990

137. a01012017.png ; $\operatorname { lim } _ { x \rightarrow \infty } | \lambda _ { x } | = \infty$ ; confidence 0.990

138. g0446706.png ; $A _ { x } = 0$ ; confidence 0.990

139. a130240172.png ; $\gamma _ { j } = 0$ ; confidence 0.990

140. a01121020.png ; $v ( x ) = \frac { | x | ^ { - 1 / 4 } } { \sqrt { \pi } } [ \operatorname { sin } ( \frac { 2 } { 3 } | x | ^ { 3 / 2 } + \frac { \pi } { 4 } ) + O ( | x | ^ { - 3 / 2 } ) ]$ ; confidence 0.990

141. a12013051.png ; $\theta _ { n } = \theta _ { n - 1 } - \gamma _ { n } H ( \theta _ { n - 1 } , Y _ { n } )$ ; confidence 0.990

142. a11038054.png ; $\approx 0 \subseteq \approx$ ; confidence 0.990

143. s085590438.png ; $D ( \epsilon )$ ; confidence 0.990

144. a11017014.png ; $\Omega _ { 0 }$ ; confidence 0.990

145. a110040119.png ; $F _ { 1 } + F _ { 2 }$ ; confidence 0.990

146. a1103407.png ; $C ( \theta _ { i } )$ ; confidence 0.990

147. a0114604.png ; $C ^ { p } ( X )$ ; confidence 0.990

148. a01052047.png ; $2 ^ { m - 1 } < N \leq 2 ^ { m }$ ; confidence 0.990

149. j05427051.png ; $J = N + W$ ; confidence 0.990

150. a130040329.png ; $E ( x , y )$ ; confidence 0.990

151. d034120468.png ; $f \in ( F ^ { \prime } , \sigma ( F ^ { \prime } , F ) ) \square ^ { \prime }$ ; confidence 0.990

152. d034120522.png ; $\| f | H \| = \operatorname { dist } ( f , H ^ { 0 } ) , \quad f \in F ^ { * }$ ; confidence 0.990

153. r0813704.png ; $V = H$ ; confidence 0.990

154. a01139031.png ; $\mu _ { i } = \chi _ { i } \nu _ { i }$ ; confidence 0.990

155. a11042050.png ; $( K _ { 0 } ( A ) , K _ { 0 } ( A ) ^ { + } , \Sigma ( A ) )$ ; confidence 0.990

156. a01318024.png ; $( u , v )$ ; confidence 0.990

157. a014170145.png ; $f ( k g \gamma ) = \rho ( k ) f ( g )$ ; confidence 0.990

158. h047970134.png ; $( C , A )$ ; confidence 0.989

159. a11007016.png ; $\Pi _ { p } ( X , Y )$ ; confidence 0.989

160. a0106805.png ; $F ( z ) = \prod _ { i = 1 } ^ { k } f _ { i } ( z ) = \sum _ { n = 0 } ^ { \infty } r ( n ) z ^ { n }$ ; confidence 0.989

161. a12006033.png ; $\frac { d u } { d t } + A u = f ( t ) , t \in [ 0 , T ]$ ; confidence 0.989

162. k1100709.png ; $\pi : G \rightarrow$ ; confidence 0.989

163. f04082090.png ; $\operatorname { dim } G = m$ ; confidence 0.989

164. a130050293.png ; $n \rightarrow \infty$ ; confidence 0.989

165. a01020065.png ; $\alpha : A \rightarrow B$ ; confidence 0.989

166. s13004070.png ; $X = \Gamma \backslash D$ ; confidence 0.989

167. a12020080.png ; $\lambda \in F \backslash \{ 0 \}$ ; confidence 0.989

168. w12009053.png ; $\Lambda ( n , r )$ ; confidence 0.989

169. r07764023.png ; $h ^ { 1 } ( O _ { D } ) = 0$ ; confidence 0.989

170. j05427064.png ; $J / R$ ; confidence 0.989

171. d034120132.png ; $H _ { r } ( A , X )$ ; confidence 0.989

172. t12001032.png ; $g ( \xi ^ { \alpha } , \xi ^ { b } ) = \delta _ { \alpha b }$ ; confidence 0.989

173. a01046054.png ; $\{ x + \xi h : | \xi | \leq 1 \}$ ; confidence 0.989

174. m06557011.png ; $L = k v$ ; confidence 0.989

175. a1100207.png ; $( v , k , \lambda )$ ; confidence 0.989

176. a01146073.png ; $( X )$ ; confidence 0.989

177. a01146068.png ; $\gamma : C ^ { p } ( X ) \rightarrow H ^ { 2 p } ( X )$ ; confidence 0.989

178. a01145085.png ; $l ( D ) - 1$ ; confidence 0.989

179. a12031048.png ; $M ( K )$ ; confidence 0.989

180. d034120226.png ; $\Gamma ( Y , O _ { X } / \Gamma ( X , O _ { X } ) )$ ; confidence 0.989

181. a0102209.png ; $f ( z + w _ { \nu } ) = f ( z )$ ; confidence 0.989

182. a110420143.png ; $1$ ; confidence 0.989

183. a130240396.png ; $M _ { H }$ ; confidence 0.989

184. a1101706.png ; $\phi : \Omega \rightarrow \Omega _ { t }$ ; confidence 0.989

185. a01165078.png ; $H \times H \rightarrow H$ ; confidence 0.989

186. b1302903.png ; $d = \operatorname { dim } A$ ; confidence 0.989

187. c02092043.png ; $x = x ^ { 0 }$ ; confidence 0.989

188. c023550235.png ; $\beta Y \backslash Y$ ; confidence 0.989

189. c02547051.png ; $\alpha \wedge ( d \alpha ) ^ { n }$ ; confidence 0.989

190. e03653023.png ; $t h$ ; confidence 0.989

191. e12023058.png ; $E ( L ) = \frac { \partial L } { \partial y } - D ( \frac { \partial L } { \partial y ^ { \prime } } )$ ; confidence 0.989

192. g043020283.png ; $S ( M ^ { \prime } ) \subset M ^ { \prime }$ ; confidence 0.989

193. h046420189.png ; $f = f _ { 1 } * f _ { 2 }$ ; confidence 0.989

194. h04852064.png ; $| f | = 1$ ; confidence 0.989

195. i05040021.png ; $[ t ^ { n } : t ^ { n - 1 } ] = 0$ ; confidence 0.989

196. i05211013.png ; $T \subset R ^ { 1 }$ ; confidence 0.989

197. i05294039.png ; $F _ { t } : M ^ { n } \rightarrow M ^ { n }$ ; confidence 0.989

198. k12006031.png ; $h ^ { 0 } ( K _ { X } \otimes L ^ { * } )$ ; confidence 0.989

199. l110170115.png ; $Q \alpha = Q \beta \gamma$ ; confidence 0.989

200. m06249090.png ; $\alpha _ { \epsilon } ( h ) = o ( h )$ ; confidence 0.989

201. m06314076.png ; $x _ { 3 } = z$ ; confidence 0.989

202. m06380081.png ; $\sigma ( W )$ ; confidence 0.989

203. r08143084.png ; $A = A _ { 1 } \times A _ { 2 }$ ; confidence 0.989

204. s086520138.png ; $\theta _ { T } = \theta$ ; confidence 0.989

205. s08665020.png ; $i > 2 n - 1$ ; confidence 0.989

206. t09265019.png ; $u x + v x ^ { 2 } + w x ^ { 3 } + t x ^ { 4 }$ ; confidence 0.989

207. t09465038.png ; $\forall v \phi$ ; confidence 0.989

208. s08708042.png ; $I ( T , \aleph _ { 1 } ) = 1$ ; confidence 0.989

209. a11028074.png ; $\omega ( H )$ ; confidence 0.989

210. l058720145.png ; $p = 7$ ; confidence 0.989

211. h04797078.png ; $\Delta x$ ; confidence 0.989

212. b12021016.png ; $L ( \lambda )$ ; confidence 0.989

213. a110220116.png ; $( H , C , m )$ ; confidence 0.989

214. a130240542.png ; $( T _ { 1 } , T _ { 2 } )$ ; confidence 0.989

215. b01615014.png ; $n \leq 6$ ; confidence 0.989

216. d03161042.png ; $f x$ ; confidence 0.989

217. a01130047.png ; $\gamma _ { \mu } ( x _ { i } ) = t _ { i }$ ; confidence 0.989

218. a01052056.png ; $q > 0$ ; confidence 0.989

219. c02057065.png ; $H ^ { p + 1 } ( X , S ) \rightarrow$ ; confidence 0.989

220. s085590135.png ; $V ( \infty ) = \{ z \in \overline { C } : | z | > R \}$ ; confidence 0.989

221. a01024054.png ; $u _ { i } = \int _ { L } \phi _ { i }$ ; confidence 0.989

222. d034120386.png ; $\omega ( \zeta )$ ; confidence 0.989

223. d034120521.png ; $F ^ { * } / H ^ { 0 }$ ; confidence 0.989

224. a11049036.png ; $F = C$ ; confidence 0.989

225. c0259308.png ; $\phi ^ { * } ( g ) = \phi ( g ^ { - 1 } ) ^ { * }$ ; confidence 0.989

226. a011450105.png ; $l ( D ) = r$ ; confidence 0.989

227. u09540022.png ; $p ^ { t }$ ; confidence 0.989

228. a011300156.png ; $\Delta _ { i } ( t )$ ; confidence 0.989

229. a01082048.png ; $\alpha : X \rightarrow G ( Y )$ ; confidence 0.988

230. s085590224.png ; $f _ { \zeta } = f _ { \zeta } ( z ) =$ ; confidence 0.988

231. u09541041.png ; $U _ { i } / U _ { i + 1 }$ ; confidence 0.988

232. a0107106.png ; $N ^ { k } \subseteq A$ ; confidence 0.988

233. a1300104.png ; $d ( A , B ) : B ^ { A } \cong A ^ { * } B ^ { * }$ ; confidence 0.988

234. s085590284.png ; $P = \{ z = ( z _ { 1 } , z _ { 2 } ) \in C ^ { 2 } : z _ { 2 } = 0 \}$ ; confidence 0.988

235. a11001055.png ; $\| A ^ { - 1 } \| = 10 ^ { 5 }$ ; confidence 0.988

236. d03412070.png ; $H _ { r } ( X , A )$ ; confidence 0.988

237. i05306040.png ; $K \times A \times N$ ; confidence 0.988

238. n066900122.png ; $( m , \phi ) \rightarrow \phi$ ; confidence 0.988

239. a01121075.png ; $y _ { 1 } ( x )$ ; confidence 0.988

240. l05852070.png ; $x = s + n$ ; confidence 0.988

241. a01020024.png ; $\mathfrak { F } ( \mathfrak { D } , \mathfrak { A } )$ ; confidence 0.988

242. a01081030.png ; $L ( x ) = 0 , \quad L ( x ) \equiv \dot { x } + A ( t ) x , \quad t \in I$ ; confidence 0.988

243. a120310132.png ; $A ^ { \infty }$ ; confidence 0.988

244. a01095092.png ; $\xi ^ { i } ( x ^ { t } ) e _ { i } ( t )$ ; confidence 0.988

245. w09771019.png ; $N _ { G } ( T _ { 0 } )$ ; confidence 0.988

246. a011380121.png ; $( \mathfrak { B } \rightarrow \mathfrak { A } ) = 1$ ; confidence 0.988

247. a01137067.png ; $F , F _ { 0 } \in X$ ; confidence 0.988

248. a12005023.png ; $0 \leq s \leq r \leq t \leq T$ ; confidence 0.988

249. a01146017.png ; $\gamma ( Z ) \in H ^ { 2 p } ( X , Z )$ ; confidence 0.988

250. l05925051.png ; $( V )$ ; confidence 0.988

251. a11041057.png ; $n \geq 3$ ; confidence 0.988

252. a13008036.png ; $\operatorname { ln } ( f ( x ) / g ( x ; m , s ) )$ ; confidence 0.988

253. a11042055.png ; $K _ { 0 } ( A ) ^ { + }$ ; confidence 0.988

254. a11042068.png ; $\alpha ( \Sigma ( A ) ) = \Sigma ( B )$ ; confidence 0.988

255. a01294081.png ; $f \in F$ ; confidence 0.988

256. b01729088.png ; $A = R ( X )$ ; confidence 0.988

257. b120420159.png ; $\lambda _ { W } : V \otimes W \rightarrow W \otimes V$ ; confidence 0.988

258. c02412084.png ; $\int _ { - \infty } ^ { \infty } ( P ( x ) / Q ( x ) ) d x$ ; confidence 0.988

259. c02499018.png ; $\int _ { - \pi } ^ { \pi } f ( x ) d x = 0$ ; confidence 0.988

260. c11041077.png ; $B _ { 1 }$ ; confidence 0.988

261. d03311036.png ; $| \{ Z \} _ { n } | \rightarrow \infty$ ; confidence 0.988

262. f041060172.png ; $X ^ { \prime } \subset X$ ; confidence 0.988

263. g043020256.png ; $C ^ { ( 0 ) }$ ; confidence 0.988

264. h04721080.png ; $X _ { 1 } \cap Y _ { 1 } = \emptyset$ ; confidence 0.988

265. i11008014.png ; $g \in E$ ; confidence 0.988

266. m063240221.png ; $E \in S ( R )$ ; confidence 0.988

267. m06400065.png ; $W ( N )$ ; confidence 0.988

268. n06634047.png ; $X _ { i } \subset \Delta _ { 1 } ^ { i }$ ; confidence 0.988

269. r110010167.png ; $k ( \pi )$ ; confidence 0.988

270. s08742011.png ; $H = H _ { V } ( \omega )$ ; confidence 0.988

271. s08780026.png ; $x + C$ ; confidence 0.988

272. s085590149.png ; $\operatorname { lim } f ( z )$ ; confidence 0.988

273. l05851080.png ; $\beta - p \alpha \in \Sigma$ ; confidence 0.988

274. a01095074.png ; $\omega ^ { i } = d x ^ { i }$ ; confidence 0.988

275. p07472044.png ; $H ^ { 1 } ( S , O _ { S } )$ ; confidence 0.988

276. a011210101.png ; $2 \pi / 3$ ; confidence 0.988

277. l05851074.png ; $[ X _ { \alpha } , X _ { \beta } ] = \left\{ \begin{array} { l l } { N _ { \alpha , \beta } X _ { \alpha + \beta } } & { \text { if } \alpha + \beta \in \Sigma } \\ { 0 } & { \text { if } \alpha + \beta \notin \Sigma } \end{array} \right.$ ; confidence 0.988

278. a0122904.png ; $( x , y ) \rightarrow x y ^ { - 1 }$ ; confidence 0.988

279. a130040511.png ; $\{ F / \Omega C : F \in C \}$ ; confidence 0.988

280. a01071038.png ; $N = \cap _ { i } Q$ ; confidence 0.988

281. a13007011.png ; $p = 2 ^ { n + 1 } - 1$ ; confidence 0.988

282. b1204003.png ; $G \times E \rightarrow E$ ; confidence 0.988

283. a130240505.png ; $Z _ { 12 } , Z _ { 13 }$ ; confidence 0.988

284. a0101802.png ; $n \geq 5$ ; confidence 0.988

285. a13002010.png ; $\mu _ { n } = \mu \circ T ^ { - n }$ ; confidence 0.987

286. o07001044.png ; $( g f ) ( u , v ) = f ( g ^ { - 1 } ( u ) , g ^ { - 1 } ( v ) ) \quad \text { for any } u , v \in V$ ; confidence 0.987

287. a130240323.png ; $H : X _ { 3 } B = 0$ ; confidence 0.987

288. j05427031.png ; $\Gamma = \operatorname { diag } \{ \gamma _ { 1 } , \gamma _ { 2 } , \gamma _ { 3 } \} , \quad \gamma _ { i } \neq 0 , \quad \gamma _ { i } \in F$ ; confidence 0.987

289. a01121022.png ; $v ( x )$ ; confidence 0.987

290. d034120528.png ; $x : f \rightarrow f ( x )$ ; confidence 0.987

291. r08090019.png ; $C _ { G } ( s )$ ; confidence 0.987

292. a0109303.png ; $\rho \frac { d V } { d t } = \rho g - \nabla p$ ; confidence 0.987

293. a12012053.png ; $( x ^ { j } , y ^ { j } ) \in J$ ; confidence 0.987

294. s130540110.png ; $K _ { 1 } R$ ; confidence 0.987

295. a01164049.png ; $q ( V ) = \operatorname { dim } _ { k } H ^ { 1 } ( V , O _ { V } )$ ; confidence 0.987

296. a12010048.png ; $R ( I + \lambda A = X$ ; confidence 0.987

297. k11007035.png ; $H ^ { 0 } ( G / B , L _ { \chi } )$ ; confidence 0.987

298. a011600234.png ; $k _ { p }$ ; confidence 0.987

299. c0271904.png ; $( n = 2 )$ ; confidence 0.987

300. h047410142.png ; $( x , y ) = \{ ( \xi , \eta ) : F ( x , y , \xi , \eta ) \leq 1 \}$ ; confidence 0.987

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/8. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/8&oldid=43936