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(AUTOMATIC EDIT of page 8 out of 11 with 300 lines: Updated image/latex database (currently 3083 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.)
 
(7 intermediate revisions by the same user not shown)
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== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/l/l061/l061160/l061160114.png ; $$x _ { 0 } ( . ) : t _ { 0 } + R ^ { + } \rightarrow U$$ ; confidence 0.802
+
1. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012053.png ; $| \lambda _ { k } | \geq 1$ ; confidence 0.991
  
2. https://www.encyclopediaofmath.org/legacyimages/l/l061/l061200/l06120026.png ; $$E ( T ) = \int \int _ { T } \frac { d x d y } { | x - y | }$$ ; confidence 0.572
+
2. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a130070105.png ; $\sigma ^ { * } ( d ) < \alpha d$ ; confidence 0.991
  
3. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058310/l05831065.png ; $$F _ { n } ( - \infty ) \rightarrow F ( - \infty )$$ ; confidence 0.972
+
3. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110400/a11040019.png ; $T ^ { * } ( t ) = ( T ( t ) ) ^ { * }$ ; confidence 0.991
  
4. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120030/m1200304.png ; $$f _ { \theta } ( x )$$ ; confidence 0.998
+
4. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110640/a11064015.png ; $1$ ; confidence 0.991
  
5. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120030/m12003057.png ; $$\varepsilon ^ { * } ( M A D ) = 1 / 2$$ ; confidence 0.731
+
5. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070010/o07001069.png ; $G \rightarrow G ( x )$ ; confidence 0.991
  
6. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062070/m06207013.png ; $$H _ { 2 } \times H _ { 1 }$$ ; confidence 0.537
+
6. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a120070100.png ; $< 2 m$ ; confidence 0.991
  
7. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110020/m11002071.png ; $$f \circ R _ { 1 } = R _ { 2 } \circ f$$ ; confidence 0.984
+
7. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025930/c02593040.png ; $\phi ^ { * } ( g )$ ; confidence 0.991
  
8. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130020/m13002013.png ; $$F _ { A } = * D _ { A } \phi$$ ; confidence 0.738
+
8. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012950/a01295056.png ; $p = 2$ ; confidence 0.991
  
9. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130020/m13002029.png ; $$A = ( \frac { 1 } { \operatorname { sinh } r } - \frac { 1 } { r } ) \epsilon _ { i j k } \frac { x _ { j } } { r } \sigma _ { k } d x _ { i }$$ ; confidence 0.768
+
9. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a011460122.png ; $A ^ { * } ( X )$ ; confidence 0.991
  
10. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130030/m1300307.png ; $$f ( z ^ { d } ) = f ( z ) - z$$ ; confidence 0.796
+
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/m/m062/m062160/m06216027.png ; $$p < q$$ ; confidence 0.966
+
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/m/m062/m062160/m062160173.png ; $$E$$ ; confidence 0.975
+
12. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077630/r07763056.png ; $\phi \mapsto \delta _ { \phi }$ ; confidence 0.991
  
13. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062160/m062160147.png ; $$\kappa = \mu ^ { * }$$ ; confidence 0.985
+
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/m/m120/m120090/m12009011.png ; $$- i \partial / \partial x _ { j }$$ ; confidence 0.526
+
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/m/m120/m120090/m12009064.png ; $$P ^ { * } ( D )$$ ; confidence 0.999
+
15. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021067.png ; $( 1 / z ) d z$ ; confidence 0.991
  
16. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110050/m11005068.png ; $$q ^ { - 1 } = 1 - p ^ { - 1 }$$ ; confidence 1.000
+
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/m/m062/m062220/m06222011.png ; $$\Delta \lambda _ { i } ^ { \alpha }$$ ; confidence 0.329
+
17. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130290/a13029031.png ; $P \rightarrow \Sigma$ ; confidence 0.991
  
18. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120110/m12011020.png ; $$t ( h ) = T ( h ) \cup \partial T ( k ) \partial F \times D ^ { 2 }$$ ; confidence 0.532
+
18. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014090/a01409051.png ; $\psi ( t _ { i } )$ ; confidence 0.991
  
19. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120110/m12011054.png ; $$\pi _ { 1 } ( M ) \neq Z _ { 2 }$$ ; confidence 0.886
+
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/m/m120/m120110/m12011082.png ; $$\Phi ( M ) \in Wh ( \pi _ { 1 } ( M ) )$$ ; confidence 0.743
+
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/m/m062/m062330/m06233049.png ; $$M _ { \psi } ^ { 0 }$$ ; confidence 0.996
+
21. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017400/b01740070.png ; $k ^ { \prime } = 1$ ; confidence 0.991
  
22. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062350/m06235096.png ; $$\mu ^ { - 1 }$$ ; confidence 0.999
+
22. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022290/c0222907.png ; $\theta \leq 1 / 2$ ; confidence 0.991
  
23. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062360/m06236012.png ; $$T _ { i j }$$ ; confidence 0.337
+
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/m/m062/m062390/m0623907.png ; $$P \{ \xi ( 0 ) = j \} = p _ { j }$$ ; confidence 0.551
+
24. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025350/c025350104.png ; $B \rightarrow H$ ; confidence 0.991
  
25. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062490/m06249026.png ; $$\Lambda \in N ^ { t }$$ ; confidence 0.838
+
25. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025710/c0257107.png ; $U = U ( x _ { 0 } )$ ; confidence 0.991
  
26. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062490/m062490165.png ; $$\Lambda = \{ \omega : x _ { S } \in B \}$$ ; confidence 0.703
+
26. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025890/c02589013.png ; $( T ^ { * } ( t ) = T ( t ) )$ ; confidence 0.991
  
27. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062490/m06249054.png ; $$F _ { \infty } ^ { s }$$ ; confidence 0.520
+
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/m062/m062490/m06249090.png ; $$\alpha _ { \epsilon } ( h ) = o ( h )$$ ; confidence 0.989
+
28. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031250/d03125044.png ; $\phi : A \rightarrow A$ ; confidence 0.991
  
29. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062540/m06254054.png ; $$| \theta - \frac { p } { n } | \leq \frac { 1 } { \tau q ^ { 2 } }$$ ; confidence 0.999
+
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/m/m062/m062550/m06255040.png ; $$u ( y ) \geq 0$$ ; confidence 0.997
+
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/m/m062/m062550/m06255050.png ; $$0 \leq w \leq v$$ ; confidence 0.958
+
31. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038220/f03822036.png ; $Q \subset P ^ { 4 }$ ; confidence 0.991
  
32. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062560/m06256075.png ; $$K _ { y } ^ { \alpha }$$ ; confidence 0.924
+
32. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f130100140.png ; $G = T$ ; confidence 0.991
  
33. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120120/m120120128.png ; $$C = Z ( Q )$$ ; confidence 0.941
+
33. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041050/f04105039.png ; $f \in L _ { 1 }$ ; confidence 0.991
  
34. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062570/m06257039.png ; $$\xi _ { k } = + 1$$ ; confidence 0.992
+
34. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041250/f041250105.png ; $L _ { k } ( z _ { k } )$ ; confidence 0.991
  
35. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062590/m06259044.png ; $$V _ { [ r ] }$$ ; confidence 0.977
+
35. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041270/f04127030.png ; $\alpha < \beta < \gamma$ ; confidence 0.991
  
36. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062590/m06259032.png ; $$B = 0$$ ; confidence 0.833
+
36. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041790/f04179028.png ; $( n ! ) ^ { - 1 } n _ { D }$ ; confidence 0.991
  
37. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062590/m06259061.png ; $$\alpha = \beta _ { 1 } \vee \ldots \vee \beta _ { r }$$ ; confidence 0.964
+
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/m062/m062610/m06261017.png ; $$\operatorname { lim } _ { \Delta x \rightarrow 0 } \Delta y = \operatorname { lim } _ { \Delta x \rightarrow 0 } [ f ( x + \Delta x ) - f ( x ) ] = 0$$ ; confidence 0.996
+
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/m/m062/m062610/m06261090.png ; $$F ^ { \prime } = f$$ ; confidence 0.997
+
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/m/m120/m120130/m12013051.png ; $$\left. \begin{array}{l}{ \frac { d N ^ { 1 } } { d t } = \lambda _ { ( 1 ) } N ^ { 1 } ( 1 - \frac { N ^ { 1 } } { K _ { ( 1 ) } } - \delta _ { ( 1 ) } \frac { N ^ { 2 } } { K _ { ( 1 ) } } ) }\\{ \frac { d N ^ { 2 } } { d t } = \lambda _ { ( 2 ) } N ^ { 2 } ( 1 - \frac { N ^ { 2 } } { K _ { ( 2 ) } } - \delta _ { ( 2 ) } \frac { N ^ { 1 } } { K _ { ( 2 ) } } ) }\end{array} \right.$$ ; confidence 0.089
+
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/m/m120/m120130/m12013029.png ; $$= f ( N _ { * } ) + f ^ { \prime } ( N _ { * } ) n + \frac { f ^ { \prime \prime } ( N _ { * } ) } { 2 } n ^ { 2 } + \ldots$$ ; confidence 0.619
+
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/m/m062/m062620/m062620207.png ; $$R _ { + } ^ { l }$$ ; confidence 0.977
+
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/m/m062/m062620/m06262012.png ; $$b \in R ^ { l - 1 }$$ ; confidence 0.980
+
43. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065250/m06525013.png ; $G _ { 1 } / N$ ; confidence 0.991
  
44. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062620/m062620198.png ; $$z \square ^ { ( s ) }$$ ; confidence 0.776
+
44. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067150/n067150152.png ; $A : G \rightarrow Y$ ; confidence 0.991
  
45. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062620/m062620248.png ; $$x > y > z$$ ; confidence 0.999
+
45. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076530/q07653051.png ; $x ^ { 1 } = 0$ ; confidence 0.991
  
46. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062620/m06262048.png ; $$c ( t ) \geq 0$$ ; confidence 1.000
+
46. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080930/r08093022.png ; $R _ { 0 } \subset F$ ; confidence 0.991
  
47. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062630/m06263022.png ; $$\int _ { - \infty } ^ { \infty } x d F ( x )$$ ; confidence 1.000
+
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/m/m062/m062690/m06269073.png ; $$k \frac { \partial u } { \partial n } + h u | _ { S } = v ( x )$$ ; confidence 0.973
+
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/m/m120/m120160/m12016065.png ; $$\Omega _ { p _ { 1 } n _ { 1 } } ( t ^ { \prime } t ^ { \prime } )$$ ; confidence 0.868
+
49. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240437.png ; $( p \times q )$ ; confidence 0.991
  
50. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063060/m06306029.png ; $$x _ { i + 1 } = x _ { i } - ( \alpha _ { i } \nabla \nabla f ( x _ { j } ) + \beta _ { i } I ) ^ { - 1 } \nabla f ( x _ { i } )$$ ; confidence 0.559
+
50. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011100/a01110052.png ; $A ^ { \prime }$ ; confidence 0.991
  
51. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063090/m06309023.png ; $$r _ { 0 } ^ { * } + \sum _ { j = 1 } ^ { q } \beta _ { j } r _ { j } ^ { * } = \sigma ^ { 2 }$$ ; confidence 0.822
+
51. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a120070113.png ; $L ^ { p } ( \Omega )$ ; confidence 0.991
  
52. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063100/m06310035.png ; $$\hat { \theta } = X$$ ; confidence 0.545
+
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/m/m063/m063080/m06308045.png ; $$f ^ { ( m ) } ( x _ { 0 } ) < 0$$ ; confidence 0.978
+
53. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018061.png ; $\phi ( s )$ ; confidence 0.991
  
54. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063140/m06314076.png ; $$x _ { 3 } = z$$ ; confidence 0.989
+
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/m/m063/m063140/m06314012.png ; $$- \frac { \partial D } { \partial t } + \operatorname { rot } H = J$$ ; confidence 0.887
+
55. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081041.png ; $L ( x ) = 0$ ; confidence 0.991
  
56. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063170/m0631709.png ; $$d \sigma ( t )$$ ; confidence 0.999
+
56. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040139.png ; $J ( C ) / E$ ; confidence 0.991
  
57. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063240/m063240572.png ; $$\Lambda ( f ) \geq 0$$ ; confidence 0.995
+
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/m/m063/m063240/m063240457.png ; $$\mu _ { i } ( X _ { i } ) = 1$$ ; confidence 0.990
+
58. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n066900107.png ; $( m , \phi )$ ; confidence 0.991
  
59. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063240/m063240678.png ; $$E = E ^ { \prime }$$ ; confidence 0.996
+
59. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a01417013.png ; $M = D$ ; confidence 0.991
  
60. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063240/m063240428.png ; $$S _ { 1 } \times S _ { 2 }$$ ; confidence 0.981
+
60. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008080.png ; $n = 3$ ; confidence 0.991
  
61. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063240/m063240221.png ; $$E \in S ( R )$$ ; confidence 0.988
+
61. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063010/m06301073.png ; $p = n / 2$ ; confidence 0.991
  
62. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063240/m063240749.png ; $$\prod x$$ ; confidence 0.487
+
62. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020090.png ; $\psi : B \rightarrow C$ ; confidence 0.991
  
63. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063350/m0633503.png ; $$\int _ { - 1 } ^ { 1 } \frac { 1 } { \sqrt { 1 - x ^ { 2 } } } f ( x ) d x \approx \frac { \pi } { N } \sum _ { k = 1 } ^ { N } f ( \operatorname { cos } \frac { 2 k - 1 } { 2 N } \pi )$$ ; confidence 0.978
+
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/m/m110/m110110/m11011038.png ; $$\square _ { q } F _ { p - 1 }$$ ; confidence 0.930
+
64. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020570/c02057060.png ; $\overline { \partial } f = g$ ; confidence 0.991
  
65. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063370/m06337017.png ; $$t = t _ { 0 } > 0$$ ; confidence 0.996
+
65. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011480/a011480137.png ; $f ( x _ { 0 } , y )$ ; confidence 0.991
  
66. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063460/m063460143.png ; $$p \in P \backslash N$$ ; confidence 0.997
+
66. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110110/a1101102.png ; $V _ { T }$ ; confidence 0.991
  
67. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063460/m063460237.png ; $$( f ) = D$$ ; confidence 0.999
+
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/m/m063/m063460/m06346056.png ; $$D ( z ) \neq 0$$ ; confidence 0.995
+
68. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872087.png ; $\operatorname { Der } _ { k } ( A )$ ; confidence 0.991
  
69. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063460/m063460176.png ; $$\psi _ { z } \neq 0$$ ; confidence 0.993
+
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/m/m063/m063460/m063460182.png ; $$z \in N$$ ; confidence 0.568
+
70. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080900/r0809004.png ; $C _ { G } ( S )$ ; confidence 0.991
  
71. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063590/m06359074.png ; $$F \mapsto F ( P )$$ ; confidence 0.864
+
71. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007095.png ; $\alpha \geq 3$ ; confidence 0.991
  
72. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063710/m06371076.png ; $$\int _ { c } ^ { \infty } f ( x ) d x$$ ; confidence 0.991
+
72. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052031.png ; $g ( A )$ ; confidence 0.991
  
73. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063710/m06371091.png ; $$n _ { 1 } < n _ { 2 } .$$ ; confidence 0.222
+
73. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w12009054.png ; $\Lambda ^ { + } ( n , r )$ ; confidence 0.990
  
74. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110130/m11013041.png ; $$\beta + \gamma \simeq \alpha . S ( t )$$ ; confidence 0.822
+
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/m/m110/m110130/m11013015.png ; $$E S$$ ; confidence 0.930
+
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/m/m063/m063760/m063760111.png ; $$0 \rightarrow A \rightarrow B \stackrel { sp } { \rightarrow } \pi * C \rightarrow 0$$ ; confidence 0.355
+
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/m/m063/m063800/m06380058.png ; $$\partial W _ { 1 } = M$$ ; confidence 0.996
+
77. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240494.png ; $k = 1$ ; confidence 0.990
  
78. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063800/m06380081.png ; $$\sigma ( W )$$ ; confidence 0.989
+
78. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450110.png ; $l ( D ) \geq 1$ ; confidence 0.990
  
79. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063800/m06380038.png ; $$\theta _ { n } ( \partial \pi )$$ ; confidence 0.997
+
79. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a0114607.png ; $C ^ { 1 } ( X )$ ; confidence 0.990
  
80. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063910/m06391025.png ; $$\{ p _ { \theta } ( \omega ) = \frac { d p } { d \mu } ( \omega ) : \theta \in \Theta \}$$ ; confidence 0.987
+
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/m/m063/m063920/m063920117.png ; $$\int \int K d S \leq 2 \pi ( \chi - k )$$ ; confidence 0.858
+
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/m/m063/m063920/m06392082.png ; $$n \geq 9$$ ; confidence 0.998
+
82. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011520/a01152030.png ; $G ( x )$ ; confidence 0.990
  
83. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063920/m063920116.png ; $$\int \int K d S$$ ; confidence 0.865
+
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/m/m063/m063980/m06398045.png ; $$\| x _ { k } - x ^ { * } \| \leq C q ^ { k }$$ ; confidence 0.985
+
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/m/m063/m063990/m06399032.png ; $$A = \pi r ^ { 2 }$$ ; confidence 0.999
+
85. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700235.png ; $\operatorname { dim } V = n$ ; confidence 0.990
  
86. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064000/m064000100.png ; $$\| u \| _ { H ^ { \prime } } \leq R$$ ; confidence 0.473
+
86. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a014170150.png ; $X = K \backslash G$ ; confidence 0.990
  
87. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064000/m06400065.png ; $$W ( N )$$ ; confidence 0.988
+
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/m/m064/m064000/m0640004.png ; $$\epsilon > 0$$ ; confidence 0.971
+
88. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820126.png ; $\gamma ( T )$ ; confidence 0.990
  
89. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064000/m064000127.png ; $$F = W _ { 2 } ^ { - 1 } ( \Omega )$$ ; confidence 0.999
+
89. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a011370142.png ; $\operatorname { Re } ( f )$ ; confidence 0.990
  
90. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120210/m12021026.png ; $$\lambda K + t$$ ; confidence 0.994
+
90. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012080.png ; $t \geq 0$ ; confidence 0.990
  
91. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064250/m064250151.png ; $$\tau \cup A C \cup B C$$ ; confidence 0.892
+
91. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r07764081.png ; $s = f ( x )$ ; confidence 0.990
  
92. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064250/m064250142.png ; $$d y / d s \geq 0$$ ; confidence 0.997
+
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/m/m064/m064180/m064180110.png ; $$\mathfrak { k } _ { n } | _ { 0 } = 0$$ ; confidence 0.128
+
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/m/m064/m064190/m064190102.png ; $$u | _ { \Gamma } = \psi$$ ; confidence 0.930
+
94. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090357.png ; $G _ { K } ( V )$ ; confidence 0.990
  
95. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064420/m06442050.png ; $$k = m / 2$$ ; confidence 0.948
+
95. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024097.png ; $y = \alpha + \beta t +$ ; confidence 0.990
  
96. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064430/m064430169.png ; $$GL _ { 2 } ( R )$$ ; confidence 0.691
+
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/m/m064/m064430/m064430225.png ; $$\operatorname { lm } A ( \tau )$$ ; 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/m/m064/m064430/m06443090.png ; $$B O$$ ; confidence 0.877
+
98. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121083.png ; $q ( x , \lambda )$ ; confidence 0.990
  
99. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064430/m064430134.png ; $$w = \lambda ( z )$$ ; confidence 0.985
+
99. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016038.png ; $\lambda$ ; confidence 0.990
  
100. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064440/m06444056.png ; $$c = 0$$ ; confidence 0.874
+
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/m/m110/m110180/m11018050.png ; $$J ( F G / I ) = 0$$ ; confidence 0.991
+
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/m/m064/m064460/m0644606.png ; $$d ( x + y ) + d ( x y ) = d ( x ) + d ( y )$$ ; confidence 0.999
+
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/m064540/m0645406.png ; $$m _ { G } = D ( u ) / 2 \pi$$ ; confidence 0.811
+
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/m/m064/m064550/m06455029.png ; $$G \rightarrow R _ { + } ^ { * }$$ ; confidence 0.778
+
104. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024055.png ; $L \subset F$ ; confidence 0.990
  
105. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064580/m06458025.png ; $$k _ { 1 } + \ldots + k _ { n } = k$$ ; confidence 0.849
+
105. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a1200203.png ; $A \subset Y$ ; confidence 0.990
  
106. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064590/m064590192.png ; $$\alpha p$$ ; confidence 0.503
+
106. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015350/b015350372.png ; $\{ \xi _ { t } \}$ ; confidence 0.990
  
107. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064660/m06466019.png ; $$C _ { \gamma } = C _ { \gamma _ { 1 } } C _ { \gamma _ { 2 } }$$ ; confidence 0.997
+
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/m/m064/m064700/m064700127.png ; $$t \in P ^ { 1 }$$ ; confidence 0.984
+
108. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110420/b11042055.png ; $\mu \in R$ ; confidence 0.990
  
109. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064700/m06470068.png ; $$\partial V _ { t }$$ ; confidence 0.996
+
109. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016550/b01655023.png ; $\mu _ { n } ( t ) = 0$ ; confidence 0.990
  
110. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064700/m0647004.png ; $$\alpha = \gamma ( 0 )$$ ; confidence 0.961
+
110. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024800/c02480058.png ; $D \subset D _ { 1 }$ ; confidence 0.990
  
111. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064710/m06471081.png ; $$f ( z ) = f ( x + i y )$$ ; confidence 1.000
+
111. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026870/c02687095.png ; $D U$ ; confidence 0.990
  
112. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064720/m0647206.png ; $$f _ { E } ^ { \prime } ( \zeta )$$ ; confidence 0.845
+
112. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110220/d11022035.png ; $L y = g$ ; confidence 0.990
  
113. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064830/m06483029.png ; $$f ( x ^ { \prime } ) < t$$ ; confidence 1.000
+
113. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035560/e03556014.png ; $y ^ { \prime } ( 0 ) = 0$ ; confidence 0.990
  
114. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064870/m06487010.png ; $$\xi = x _ { m }$$ ; confidence 0.952
+
114. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110100/e11010022.png ; $o ( G )$ ; confidence 0.990
  
115. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130220/m13022071.png ; $$T$$ ; confidence 0.520
+
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/m/m130/m130220/m13022026.png ; $$T _ { e } = j - 744$$ ; confidence 0.742
+
116. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046300/h046300124.png ; $P _ { n - k }$ ; confidence 0.990
  
117. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064910/m06491014.png ; $$Y ( K )$$ ; confidence 0.999
+
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/m/m120/m120230/m12023042.png ; $$( ( \partial f ) ^ { - 1 } + t l ) ^ { - 1 }$$ ; confidence 0.971
+
118. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i13003026.png ; $[ T ^ { * } M ]$ ; confidence 0.990
  
119. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130230/m130230103.png ; $$- ( K _ { X } + B )$$ ; confidence 0.752
+
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/m/m130/m130230/m130230127.png ; $$\phi : X ^ { \prime } \rightarrow Y$$ ; confidence 0.951
+
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/m/m064/m064990/m06499012.png ; $$f : M \rightarrow R$$ ; confidence 0.936
+
121. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840354.png ; $C = C ^ { * }$ ; confidence 0.990
  
122. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064990/m06499028.png ; $$\sum _ { j = 0 } ^ { i } ( - 1 ) ^ { j } m _ { i - j } \geq \sum _ { j = 0 } ^ { i } ( - 1 ) ^ { j } b _ { i - j }$$ ; confidence 0.973
+
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/m/m064/m064950/m06495010.png ; $$V _ { 1 } = \emptyset$$ ; confidence 0.731
+
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/m/m110/m110210/m11021026.png ; $$\alpha = 4 \pi$$ ; confidence 1.000
+
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/m/m110/m110210/m11021064.png ; $$f \in L ^ { p } ( R ^ { n } ) \rightarrow \int _ { R ^ { n } } | x - y | ^ { - \lambda } f ( y ) d y \in L ^ { p ^ { \prime } } ( R ^ { n } )$$ ; confidence 0.413
+
125. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074150/p074150292.png ; $f \in C$ ; confidence 0.990
  
126. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065030/m06503013.png ; $$\tilde { y } = \alpha _ { 21 } x + \alpha _ { 22 } y + \alpha _ { 23 } z + b$$ ; confidence 0.163
+
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/m/m065/m065030/m0650309.png ; $$x = x \operatorname { cos } \phi + y \operatorname { sin } \phi + \alpha$$ ; confidence 0.056
+
127. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082160/r08216057.png ; $N = 0$ ; confidence 0.990
  
128. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120250/m12025047.png ; $$L C ^ { k - 1 }$$ ; confidence 0.734
+
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/m/m065/m065140/m065140117.png ; $$p _ { 1 } + \ldots + p _ { m } = p$$ ; confidence 0.769
+
129. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130210/t13021052.png ; $2 / ( 3 N / 2 )$ ; confidence 0.990
  
130. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065140/m06514041.png ; $$S _ { n }$$ ; confidence 0.963
+
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/m/m065/m065160/m06516021.png ; $$\operatorname { ess } \operatorname { sup } _ { X } | f ( x ) | = \operatorname { lim } _ { n \rightarrow \infty } ( \frac { \int | f ( x ) | ^ { n } d M _ { X } } { \int _ { X } d M _ { x } } )$$ ; confidence 0.229
+
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/m/m065/m065180/m06518046.png ; $$\alpha : A \rightarrow A _ { 1 }$$ ; confidence 0.999
+
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/m/m110/m110220/m11022016.png ; $$\lambda ^ { * } \in R ^ { m }$$ ; confidence 0.957
+
133. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004088.png ; $( 1 , d )$ ; confidence 0.990
  
134. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065250/m06525013.png ; $$G _ { 1 } / N$$ ; confidence 0.991
+
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/m/m065/m065300/m06530022.png ; $$\otimes _ { i = 1 } ^ { n } E _ { i } \rightarrow F$$ ; confidence 0.927
+
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/m/m130/m130250/m13025061.png ; $$\int | \rho _ { \varepsilon } ( x ) | d x$$ ; confidence 0.965
+
136. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a01149038.png ; $x _ { 0 } \in G$ ; confidence 0.990
  
137. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m130250103.png ; $$s > n / 2$$ ; confidence 0.999
+
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/m/m130/m130250/m13025065.png ; $$M _ { 3 } ( R ^ { n } ) = \{$$ ; confidence 0.724
+
138. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044670/g0446706.png ; $A _ { x } = 0$ ; confidence 0.990
  
139. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065440/m06544062.png ; $$d _ { é } ^ { l } < \ldots < d _ { e } ^ { 1 } = d$$ ; confidence 0.489
+
139. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240172.png ; $\gamma _ { j } = 0$ ; confidence 0.990
  
140. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065440/m06544031.png ; $$\Phi _ { t } = id$$ ; confidence 0.507
+
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/m/m065/m065440/m06544030.png ; $$E = \{ e \}$$ ; confidence 0.981
+
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/m/m065/m065460/m06546014.png ; $$( \alpha \vee ( b . e ) ) : e = ( \alpha : e ) \vee b$$ ; confidence 0.351
+
142. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110380/a11038054.png ; $\approx 0 \subseteq \approx$ ; confidence 0.990
  
143. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065500/m06550014.png ; $$P ( \mathfrak { m } / \mathfrak { m } ^ { 2 } )$$ ; confidence 0.523
+
143. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590438.png ; $D ( \epsilon )$ ; confidence 0.990
  
144. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065510/m06551020.png ; $$n _ { \Delta } = 1$$ ; confidence 0.532
+
144. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110170/a11017014.png ; $\Omega _ { 0 }$ ; confidence 0.990
  
145. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m13026036.png ; $$x \lambda ( y ) = \rho ( x ) y$$ ; confidence 0.966
+
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/m130/m130260/m130260171.png ; $$\overline { \alpha } : P \rightarrow X$$ ; confidence 0.421
+
146. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110340/a1103407.png ; $C ( \theta _ { i } )$ ; confidence 0.990
  
147. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065560/m06556075.png ; $$\frac { | z | ^ { p } } { ( 1 + | z | ) ^ { 2 p } } \leq | f ( z ) | \leq \frac { | z | ^ { p } } { ( 1 - | z | ) ^ { 2 p } }$$ ; confidence 0.972
+
147. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a0114604.png ; $C ^ { p } ( X )$ ; confidence 0.990
  
148. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065570/m06557014.png ; $$L _ { \cap } \Gamma = 0$$ ; confidence 0.870
+
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/m/m130/m130180/m130180141.png ; $$H _ { n - 2 }$$ ; confidence 0.883
+
149. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054270/j05427051.png ; $J = N + W$ ; confidence 0.990
  
150. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065580/m0655809.png ; $$P ( x ) = \sum _ { k = 1 } ^ { n } \alpha _ { k } x ^ { \lambda _ { k } }$$ ; confidence 0.795
+
150. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040329.png ; $E ( x , y )$ ; confidence 0.990
  
151. https://www.encyclopediaofmath.org/legacyimages/n/n130/n130030/n13003066.png ; $$\operatorname { Re } ( \lambda )$$ ; confidence 0.992
+
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/n/n120/n120040/n1200405.png ; $$A _ { i \psi }$$ ; confidence 0.179
+
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/n/n110/n110010/n1100102.png ; $$f \in L _ { \infty } ( T )$$ ; confidence 0.971
+
153. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081370/r0813704.png ; $V = H$ ; confidence 0.990
  
154. https://www.encyclopediaofmath.org/legacyimages/n/n110/n110010/n11001011.png ; $$L _ { \infty } ( T )$$ ; confidence 0.979
+
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/n/n066/n066340/n06634043.png ; $$\Sigma _ { n - 1 } ( x )$$ ; confidence 0.905
+
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/n/n066/n066340/n06634090.png ; $$x \in V _ { n }$$ ; confidence 0.777
+
156. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013180/a01318024.png ; $( u , v )$ ; confidence 0.990
  
157. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066340/n06634047.png ; $$X _ { i } \subset \Delta _ { 1 } ^ { i }$$ ; confidence 0.988
+
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/n/n066/n066360/n06636034.png ; $$\{ x _ { \alpha } \} _ { \alpha \in \Sigma }$$ ; confidence 0.994
+
158. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h047970134.png ; $( C , A )$ ; confidence 0.989
  
159. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066410/n06641020.png ; $$x \in b M$$ ; confidence 0.705
+
159. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110070/a11007016.png ; $\Pi _ { p } ( X , Y )$ ; confidence 0.989
  
160. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066410/n06641023.png ; $$\overline { \partial } f = \phi$$ ; confidence 0.995
+
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/n/n066/n066440/n06644040.png ; $$\sum _ { n = 0 } ^ { \infty } A ^ { n } f$$ ; confidence 0.994
+
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/n/n066/n066480/n06648031.png ; $$\phi _ { \alpha } ( f ) = w _ { \alpha }$$ ; confidence 0.945
+
162. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110070/k1100709.png ; $\pi : G \rightarrow$ ; confidence 0.989
  
163. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066490/n06649018.png ; $$f ^ { - 1 } ( \alpha ) \cap \{ z : | z | \leq t \}$$ ; confidence 0.806
+
163. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082090.png ; $\operatorname { dim } G = m$ ; confidence 0.989
  
164. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066520/n06652019.png ; $$\epsilon < \epsilon ^ { \prime } < \ldots$$ ; confidence 0.860
+
164. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050293.png ; $n \rightarrow \infty$ ; confidence 0.989
  
165. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066560/n06656013.png ; $$A ( u ) = 0$$ ; confidence 1.000
+
165. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020065.png ; $\alpha : A \rightarrow B$ ; confidence 0.989
  
166. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n06663069.png ; $$\Delta _ { k } ^ { k } f ^ { ( s ) }$$ ; confidence 0.968
+
166. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004070.png ; $X = \Gamma \backslash D$ ; confidence 0.989
  
167. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n066630108.png ; $$M _ { i } ^ { * } = c _ { i } \sum _ { j = 1 } ^ { n } M _ { j }$$ ; confidence 0.662
+
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/n/n066/n066630/n06663062.png ; $$0 < r - s < k$$ ; confidence 0.996
+
168. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w12009053.png ; $\Lambda ( n , r )$ ; confidence 0.989
  
169. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066790/n06679025.png ; $$D \cap \{ x ^ { 1 } = c \}$$ ; confidence 0.983
+
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/n/n066/n066840/n06684017.png ; $$\{ \psi _ { i } \} _ { 0 } ^ { m }$$ ; confidence 0.581
+
170. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054270/j05427064.png ; $J / R$ ; confidence 0.989
  
171. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066890/n06689067.png ; $$v = 1.1 m / sec$$ ; confidence 0.848
+
171. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120132.png ; $H _ { r } ( A , X )$ ; confidence 0.989
  
172. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066890/n06689035.png ; $$b = 7$$ ; confidence 0.999
+
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/n/n066/n066900/n06690064.png ; $$G \rightarrow A$$ ; confidence 0.998
+
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/n/n130/n130070/n13007025.png ; $$m ( B ) = 0$$ ; confidence 1.000
+
174. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065570/m06557011.png ; $L = k v$ ; confidence 0.989
  
175. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066980/n06698028.png ; $$Q ^ { \prime } \subset Q$$ ; confidence 0.984
+
175. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a1100207.png ; $( v , k , \lambda )$ ; confidence 0.989
  
176. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067080/n06708019.png ; $$y ( 0 ) = y ^ { \prime }$$ ; confidence 0.740
+
176. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a01146073.png ; $( X )$ ; confidence 0.989
  
177. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067080/n06708029.png ; $$\left. \begin{array} { c } { B _ { n } ( y _ { n + 1 } ( 0 ) - y _ { n } ( 0 ) ) + B ( y _ { n } ( 0 ) ) = 0 } \\ { D _ { n } ( y _ { n + 1 } ( X ) - y _ { n } ( X ) ) + D ( y _ { n } ( X ) ) = 0 } \end{array} \right\}$$ ; confidence 0.711
+
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/n/n067/n067080/n06708018.png ; $$y ^ { * } = \alpha ( g ^ { * } )$$ ; confidence 0.950
+
178. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145085.png ; $l ( D ) - 1$ ; confidence 0.989
  
179. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067110/n06711026.png ; $$\| z ^ { n } \| \leq q ^ { n } ( 1 - q ) ^ { - 1 } \| u ^ { 0 } - u ^ { 1 } \|$$ ; confidence 0.538
+
179. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a12031048.png ; $M ( K )$ ; confidence 0.989
  
180. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067110/n06711048.png ; $$\phi _ { i } / \partial x _ { Y }$$ ; confidence 0.338
+
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/n/n067/n067150/n067150173.png ; $$x + h \in G$$ ; confidence 0.992
+
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/n/n067/n067150/n067150152.png ; $$A : G \rightarrow Y$$ ; confidence 0.991
+
182. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420143.png ; $1$ ; confidence 0.989
  
183. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120110/n12011031.png ; $$x \in K$$ ; confidence 0.658
+
183. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240396.png ; $M _ { H }$ ; confidence 0.989
  
184. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120110/n12011011.png ; $$\xi ( x ) = 1$$ ; confidence 0.999
+
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/n/n067/n067280/n06728058.png ; $$\pi / \rho$$ ; confidence 0.416
+
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/n/n067/n067280/n06728084.png ; $$y ^ { \prime \prime \prime } = \lambda y$$ ; confidence 0.979
+
186. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b1302903.png ; $d = \operatorname { dim } A$ ; confidence 0.989
  
187. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067310/n06731043.png ; $$B O$$ ; confidence 0.799
+
187. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020920/c02092043.png ; $x = x ^ { 0 }$ ; confidence 0.989
  
188. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067360/n0673605.png ; $$\phi ( x ) \geq 0$$ ; confidence 0.999
+
188. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023550/c023550235.png ; $\beta Y \backslash Y$ ; confidence 0.989
  
189. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067400/n06740041.png ; $$U$$ ; confidence 0.698
+
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/n/n067/n067430/n06743015.png ; $$\sum _ { k = 1 } ^ { \infty } \| u _ { k } \| = \sum _ { k = 1 } ^ { \infty } 1 / k$$ ; confidence 0.925
+
190. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036530/e03653023.png ; $t h$ ; confidence 0.989
  
191. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520368.png ; $$\phi _ { i } ( 0 ) = 0$$ ; confidence 1.000
+
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/n/n067/n067520/n067520122.png ; $$j \geq q + 1$$ ; confidence 0.999
+
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/n/n067/n067520/n067520141.png ; $$N _ { 2 } = \left| \begin{array} { c c c c c } { . } & { \square } & { \square } & { \square } & { 0 } \\ { \square } & { . } & { \square } & { \square } & { \square } \\ { \square } & { \square } & { L ( e _ { j } ^ { n _ { i j } } ) } & { \square } & { \square } \\ { \square } & { \square } & { \square } & { . } & { \square } \\ { \square } & { \square } & { \square } & { \square } & { \square } \\ { 0 } & { \square } & { \square } & { \square } & { . } \end{array} \right|$$ ; confidence 0.323
+
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/n/n067/n067520/n067520250.png ; $$d j \neq 0$$ ; confidence 0.877
+
194. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048520/h04852064.png ; $| f | = 1$ ; confidence 0.989
  
195. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520303.png ; $$A \simeq K$$ ; confidence 0.550
+
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/n/n067/n067580/n06758032.png ; $$N _ { G } ( H )$$ ; confidence 0.982
+
196. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052110/i05211013.png ; $T \subset R ^ { 1 }$ ; confidence 0.989
  
197. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067610/n06761056.png ; $$( d \nu ) ( x _ { i } ) ( T _ { i } )$$ ; confidence 0.993
+
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/n/n067/n067640/n06764043.png ; $$\Omega _ { X }$$ ; confidence 0.976
+
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/n/n067/n067760/n06776016.png ; $$N ( A ^ { * } ) = \{ 0 \}$$ ; confidence 0.998
+
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/n/n067/n067840/n06784093.png ; $$A \in L _ { \infty } ( H )$$ ; confidence 0.994
+
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/n/n067/n067850/n067850200.png ; $$\operatorname { tr } _ { \sigma } A$$ ; confidence 0.814
+
201. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063140/m06314076.png ; $x _ { 3 } = z$ ; confidence 0.989
  
202. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067850/n067850111.png ; $$u \in E ^ { \prime } \otimes - E$$ ; confidence 0.540
+
202. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063800/m06380081.png ; $\sigma ( W )$ ; confidence 0.989
  
203. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067850/n067850131.png ; $$u = \operatorname { tr } \Gamma ( u )$$ ; confidence 0.766
+
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/n/n067/n067860/n067860258.png ; $$V \subset \rho U$$ ; confidence 0.940
+
204. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086520/s086520138.png ; $\theta _ { T } = \theta$ ; confidence 0.989
  
205. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067900/n0679002.png ; $$x y = 40$$ ; confidence 1.000
+
205. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086650/s08665020.png ; $i > 2 n - 1$ ; confidence 0.989
  
206. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067900/n06790027.png ; $$\alpha + b = b + \alpha$$ ; confidence 0.739
+
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/n/n067/n067940/n06794014.png ; $$N > 5$$ ; confidence 0.901
+
207. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094650/t09465038.png ; $\forall v \phi$ ; confidence 0.989
  
208. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067960/n06796016.png ; $$q 2 = 6$$ ; confidence 0.507
+
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/n/n067/n067960/n0679601.png ; $$12$$ ; confidence 0.490
+
209. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028074.png ; $\omega ( H )$ ; confidence 0.989
  
210. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067960/n06796020.png ; $$q 2 = 4$$ ; confidence 0.504
+
210. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l058720145.png ; $p = 7$ ; confidence 0.989
  
211. https://www.encyclopediaofmath.org/legacyimages/o/o120/o120010/o12001037.png ; $$\left. \begin{array} { l } { \nabla p _ { 1 } = \nabla p _ { 2 } = 0 } \\ { \frac { \partial v _ { 0 } } { \partial t } + [ \nabla v _ { 0 } ] v _ { 0 } = \frac { 1 } { Re } \Delta v _ { 0 } + \operatorname { Re } \nabla p _ { 3 } + \theta _ { 0 } b } \end{array} \right.$$ ; confidence 0.316
+
211. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797078.png ; $\Delta x$ ; confidence 0.989
  
212. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o13001044.png ; $$F : L ^ { 2 } ( D ^ { \prime } ) \rightarrow L ^ { 2 } ( R ^ { 3 } )$$ ; confidence 0.936
+
212. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b12021016.png ; $L ( \lambda )$ ; confidence 0.989
  
213. https://www.encyclopediaofmath.org/legacyimages/o/o110/o110030/o11003071.png ; $$I _ { p } ( L )$$ ; confidence 0.985
+
213. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a110220116.png ; $( H , C , m )$ ; confidence 0.989
  
214. https://www.encyclopediaofmath.org/legacyimages/o/o110/o110030/o11003037.png ; $$K _ { \omega }$$ ; confidence 0.958
+
214. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240542.png ; $( T _ { 1 } , T _ { 2 } )$ ; confidence 0.989
  
215. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130030/o13003024.png ; $$\overline { P _ { 8 } }$$ ; confidence 0.610
+
215. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016150/b01615014.png ; $n \leq 6$ ; confidence 0.989
  
216. https://www.encyclopediaofmath.org/legacyimages/o/o120/o120020/o1200204.png ; $$\alpha = 1 / 2$$ ; confidence 0.933
+
216. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031610/d03161042.png ; $f x$ ; confidence 0.989
  
217. https://www.encyclopediaofmath.org/legacyimages/o/o110/o110070/o11007085.png ; $$K _ { 10 }$$ ; confidence 0.993
+
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/o/o110/o110070/o11007062.png ; $$K$$ ; confidence 0.967
+
218. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052056.png ; $q > 0$ ; confidence 0.989
  
219. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068190/o0681907.png ; $$T ( t ) x$$ ; confidence 0.794
+
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/o/o068/o068210/o06821028.png ; $$X = \sum _ { i } X ^ { i } \partial / \partial x ^ { i }$$ ; confidence 0.987
+
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/o/o068/o068250/o06825018.png ; $$\operatorname { lim } _ { x \rightarrow x _ { 0 } } + 0$$ ; confidence 0.628
+
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/o/o068/o068330/o06833067.png ; $$e ^ { - \lambda s }$$ ; confidence 0.999
+
222. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120386.png ; $\omega ( \zeta )$ ; confidence 0.989
  
223. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068350/o068350148.png ; $$\phi \in D ( A )$$ ; confidence 0.998
+
223. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120521.png ; $F ^ { * } / H ^ { 0 }$ ; confidence 0.989
  
224. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130050/o13005095.png ; $$v \in G$$ ; confidence 0.413
+
224. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110490/a11049036.png ; $F = C$ ; confidence 0.989
  
225. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130050/o13005087.png ; $$v _ { n } \in G$$ ; confidence 0.357
+
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/o/o068/o068370/o06837057.png ; $$x _ { C }$$ ; confidence 0.256
+
226. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450105.png ; $l ( D ) = r$ ; confidence 0.989
  
227. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068370/o06837017.png ; $$( \alpha b ) \sigma = \alpha \sigma b \sigma$$ ; confidence 0.467
+
227. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095400/u09540022.png ; $p ^ { t }$ ; confidence 0.989
  
228. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o130060187.png ; $$( \sigma _ { 2 } \frac { \partial } { \partial t _ { 1 } } - \sigma _ { 1 } \frac { \partial } { \partial t _ { 2 } } + \gamma ) u = 0$$ ; confidence 0.449
+
228. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a011300156.png ; $\Delta _ { i } ( t )$ ; confidence 0.989
  
229. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o13006047.png ; $$\frac { 1 } { i } ( A _ { k } - A _ { k } ^ { * } ) = \Phi ^ { * } \sigma _ { k } \Phi$$ ; confidence 0.897
+
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/o/o130/o130060/o13006052.png ; $$\overline { \gamma } = \tilde { \gamma } ^ { \prime \prime }$$ ; confidence 0.147
+
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/o/o068/o068460/o0684606.png ; $$x ( t _ { 1 } ) = x ^ { 1 } \in R ^ { n }$$ ; confidence 0.985
+
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/o/o068/o068490/o06849072.png ; $$2 \leq t \leq 3$$ ; confidence 0.999
+
232. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010710/a0107106.png ; $N ^ { k } \subseteq A$ ; confidence 0.988
  
233. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068500/o06850051.png ; $$\sigma \leq t \leq \theta$$ ; confidence 0.947
+
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/o/o070/o070010/o070010110.png ; $$X = \cup _ { \alpha } X _ { \alpha }$$ ; confidence 0.245
+
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/o/o070/o070010/o07001011.png ; $$G / G _ { X }$$ ; confidence 0.936
+
235. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001055.png ; $\| A ^ { - 1 } \| = 10 ^ { 5 }$ ; confidence 0.988
  
236. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070010/o0700104.png ; $$G ( x ) = \{ g ( x ) : g \in G \}$$ ; confidence 0.999
+
236. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d03412070.png ; $H _ { r } ( X , A )$ ; confidence 0.988
  
237. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070040/o07004017.png ; $$\operatorname { lim } \alpha / \beta = 0$$ ; confidence 0.903
+
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/o/o070/o070060/o07006030.png ; $$\beta ( x ) \neq 0$$ ; confidence 0.999
+
238. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n066900122.png ; $( m , \phi ) \rightarrow \phi$ ; confidence 0.988
  
239. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070070/o070070117.png ; $$\{ Z _ { n } \}$$ ; confidence 0.984
+
239. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121075.png ; $y _ { 1 } ( x )$ ; confidence 0.988
  
240. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070070/o070070118.png ; $$Y _ { n } = \frac { 1 } { 2 } ( X _ { ( n 1 ) } + X _ { ( n n ) } ) \quad \text { and } \quad Z _ { n } = \frac { n + 1 } { 2 } ( n - 1 ) ( X _ { ( n n ) } - X _ { ( n 1 ) } )$$ ; confidence 0.491
+
240. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058520/l05852070.png ; $x = s + n$ ; confidence 0.988
  
241. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070070/o07007051.png ; $$W _ { n } = X _ { ( n n ) } - X _ { ( n 1 ) }$$ ; confidence 0.738
+
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/o/o070/o070150/o07015054.png ; $$\alpha ^ { n } < b ^ { n + 1 }$$ ; confidence 0.291
+
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/o/o130/o130080/o13008026.png ; $$C _ { \psi }$$ ; confidence 0.409
+
243. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310132.png ; $A ^ { \infty }$ ; confidence 0.988
  
244. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130080/o13008035.png ; $$C _ { \varphi }$$ ; confidence 0.982
+
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/o/o070/o070220/o07022036.png ; $$E$$ ; confidence 0.845
+
245. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097710/w09771019.png ; $N _ { G } ( T _ { 0 } )$ ; confidence 0.988
  
246. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070220/o07022045.png ; $$\int _ { G } x ( t ) y ( t ) d t \leq \| x \| _ { ( M ) } \| y \| _ { ( N ) }$$ ; confidence 0.491
+
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/o/o070/o070240/o07024025.png ; $$- \beta V$$ ; confidence 0.966
+
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/o/o070/o070240/o07024014.png ; $$6 \pi \eta \alpha$$ ; confidence 0.422
+
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/o/o070/o070240/o0702405.png ; $$d W ( t ) / d t = W ^ { \prime } ( t )$$ ; confidence 0.993
+
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/o/o070/o070310/o07031053.png ; $$N ( n ) \rightarrow \infty$$ ; confidence 0.992
+
250. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059250/l05925051.png ; $( V )$ ; confidence 0.988
  
251. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070310/o070310119.png ; $$A \perp A ^ { T }$$ ; confidence 0.994
+
251. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110410/a11041057.png ; $n \geq 3$ ; confidence 0.988
  
252. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070290/o07029017.png ; $$\Delta = \alpha _ { 2 } c ( b ) - \beta _ { 2 } s ( b ) \neq 0$$ ; confidence 0.937
+
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/o/o070/o070340/o07034097.png ; $$y = K _ { n } ( x )$$ ; confidence 0.826
+
253. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042055.png ; $K _ { 0 } ( A ) ^ { + }$ ; confidence 0.988
  
254. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070370/o07037028.png ; $$\sum _ { n = 0 } ^ { \infty } a _ { \tilde { m } } ^ { 2 } ( f ) = \int _ { \mathscr { x } } ^ { b } f ^ { 2 } ( x ) d x$$ ; confidence 0.076
+
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/p/p072/p072210/p07221037.png ; $$F ^ { k }$$ ; confidence 0.862
+
255. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012940/a01294081.png ; $f \in F$ ; confidence 0.988
  
256. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072300/p0723004.png ; $$F ( H )$$ ; confidence 0.998
+
256. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017290/b01729088.png ; $A = R ( X )$ ; confidence 0.988
  
257. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072350/p07235016.png ; $$h > 1$$ ; confidence 0.985
+
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/p/p072/p072370/p07237060.png ; $$\overline { \Omega } _ { k } \subset \Omega _ { k + 1 }$$ ; confidence 0.887
+
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/p/p072/p072370/p07237025.png ; $$\underline { H } \square _ { f }$$ ; confidence 0.812
+
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/p/p072/p072430/p0724304.png ; $$B \operatorname { ccos } ( \omega t + \psi )$$ ; confidence 0.580
+
260. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110410/c11041077.png ; $B _ { 1 }$ ; confidence 0.988
  
261. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072430/p072430105.png ; $$\phi _ { im }$$ ; confidence 0.294
+
261. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033110/d03311036.png ; $| \{ Z \} _ { n } | \rightarrow \infty$ ; confidence 0.988
  
262. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072430/p0724307.png ; $$\epsilon \ll 1$$ ; confidence 0.957
+
262. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041060/f041060172.png ; $X ^ { \prime } \subset X$ ; confidence 0.988
  
263. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072430/p07243078.png ; $$| V _ { m n } | \ll | E _ { n } ^ { ( 0 ) } - E _ { m } ^ { ( 0 ) } |$$ ; confidence 0.535
+
263. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020256.png ; $C ^ { ( 0 ) }$ ; confidence 0.988
  
264. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110120/p110120321.png ; $$4 x$$ ; confidence 0.375
+
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/p/p110/p110120/p110120376.png ; $$E _ { i } ( x )$$ ; confidence 0.976
+
265. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110080/i11008014.png ; $g \in E$ ; confidence 0.988
  
266. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110120/p110120339.png ; $$\eta ( x ) \in \eta$$ ; confidence 0.999
+
266. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063240/m063240221.png ; $E \in S ( R )$ ; confidence 0.988
  
267. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110120/p110120247.png ; $$A _ { i } = \{ w \in W _ { i } \cap V ^ { s } ( z ) : z \in \Lambda _ { l } \cap U ( x ) \}$$ ; confidence 0.414
+
267. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064000/m06400065.png ; $W ( N )$ ; confidence 0.988
  
268. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110120/p11012025.png ; $$\lambda < \mu$$ ; confidence 1.000
+
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/p/p110/p110120/p110120432.png ; $$\operatorname { limsup } _ { n \rightarrow + \infty } \frac { 1 } { n } \operatorname { log } + P _ { N } ( f ) \geq h ( f )$$ ; confidence 0.191
+
269. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110010/r110010167.png ; $k ( \pi )$ ; confidence 0.988
  
270. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110120/p110120214.png ; $$D _ { 0 } f _ { x } = \left( \begin{array} { c c c } { A _ { 1 } ( x ) } & { \square } & { \square } \\ { \square } & { \ddots } & { \square } \\ { \square } & { \square } & { A _ { \xi } ( x ) ( x ) } \end{array} \right)$$ ; confidence 0.131
+
270. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087420/s08742011.png ; $H = H _ { V } ( \omega )$ ; confidence 0.988
  
271. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110120/p110120428.png ; $$P _ { n } ( f )$$ ; confidence 0.919
+
271. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087800/s08780026.png ; $x + C$ ; confidence 0.988
  
272. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072460/p07246025.png ; $$S \square ^ { * }$$ ; confidence 0.590
+
272. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590149.png ; $\operatorname { lim } f ( z )$ ; confidence 0.988
  
273. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072510/p07251086.png ; $$T ^ { * } U$$ ; confidence 0.999
+
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/p/p072/p072510/p07251047.png ; $$d y _ { 0 } - \sum _ { j = 1 } ^ { p } z _ { j } d y _ { j } = 0$$ ; confidence 0.905
+
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/p/p072/p072530/p072530183.png ; $$I ( G _ { p } )$$ ; confidence 0.801
+
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/p/p072/p072530/p07253081.png ; $$d f ^ { j }$$ ; confidence 0.726
+
276. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a011210101.png ; $2 \pi / 3$ ; confidence 0.988
  
277. https://www.encyclopediaofmath.org/legacyimages/p/p071/p071010/p07101037.png ; $$p _ { i }$$ ; confidence 0.459
+
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/p/p072/p072670/p0726706.png ; $$\operatorname { sch } / S$$ ; confidence 0.616
+
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/p/p072/p072670/p07267050.png ; $$f ^ { \prime } ( O _ { X ^ { \prime } } ) = O _ { S ^ { \prime } }$$ ; confidence 0.802
+
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/p/p072/p072700/p07270029.png ; $$f ( L )$$ ; confidence 0.999
+
280. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010710/a01071038.png ; $N = \cap _ { i } Q$ ; confidence 0.988
  
281. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072710/p07271076.png ; $$t ( P )$$ ; confidence 0.999
+
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/p/p072/p072710/p072710140.png ; $$\sigma A = x ^ { * } \partial \sigma ^ { * } \operatorname { lk } _ { A } \sigma + A _ { 1 }$$ ; confidence 0.541
+
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/p/p120/p120130/p1201308.png ; $$\theta$$ ; confidence 1.000
+
283. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240505.png ; $Z _ { 12 } , Z _ { 13 }$ ; confidence 0.988
  
284. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120130/p12013011.png ; $$n > 1$$ ; confidence 0.999
+
284. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a0101802.png ; $n \geq 5$ ; confidence 0.988
  
285. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120140/p12014048.png ; $$E = E$$ ; confidence 0.907
+
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/p/p120/p120140/p12014039.png ; $$E _ { r } = S \cup T$$ ; confidence 0.755
+
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/p/p072/p072760/p0727608.png ; $$f ( x ) \mapsto \hat { f } ( y )$$ ; confidence 0.970
+
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/p/p072/p072830/p07283021.png ; $$\epsilon _ { i j } ^ { k }$$ ; confidence 0.400
+
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/p/p072/p072830/p072830109.png ; $$\sigma _ { i j } ( t )$$ ; confidence 0.998
+
289. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121022.png ; $v ( x )$ ; confidence 0.987
  
290. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072850/p072850130.png ; $$X \subset M ^ { n }$$ ; confidence 0.432
+
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/p/p072/p072850/p072850146.png ; $$H _ { k } ( M ^ { n } )$$ ; confidence 0.995
+
291. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080900/r08090019.png ; $C _ { G } ( s )$ ; confidence 0.987
  
292. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072850/p072850150.png ; $$\Omega _ { X } ( k ) \equiv \Omega ( k )$$ ; confidence 0.406
+
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/p/p072/p072850/p0728502.png ; $$_ { k }$$ ; confidence 0.179
+
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/p/p072/p072880/p07288011.png ; $$\{ z _ { k } \} \subset \Delta$$ ; confidence 0.994
+
294. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s130540110.png ; $K _ { 1 } R$ ; confidence 0.987
  
295. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072930/p072930169.png ; $$t _ { \gamma }$$ ; confidence 0.533
+
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/p/p072/p072930/p07293055.png ; $$\sigma _ { 2 n } = 2 \pi ^ { n } / ( n - 1 ) !$$ ; confidence 0.994
+
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/p/p072/p072930/p072930108.png ; $$u \in C ^ { 2 } ( D )$$ ; confidence 0.987
+
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/p/p072/p072890/p07289041.png ; $$p _ { 01 } p _ { 23 } + p _ { 02 } p _ { 31 } + p _ { 03 } p _ { 12 } = 0$$ ; confidence 0.676
+
298. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600234.png ; $k _ { p }$ ; confidence 0.987
  
299. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110150/p1101505.png ; $$x \preceq y \Rightarrow z x t \preceq x y t$$ ; confidence 0.920
+
299. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027190/c0271904.png ; $( n = 2 )$ ; confidence 0.987
  
300. 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
+
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=43815