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(AUTOMATIC EDIT of page 8 out of 14 with 300 lines: Updated image/latex database (currently 4097 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.)
 
(2 intermediate revisions by the same user not shown)
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== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/w/w098/w098160/w09816057.png ; $Y \times X$ ; confidence 0.869
+
1. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012053.png ; $| \lambda _ { k } | \geq 1$ ; confidence 0.991
  
2. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240226.png ; $\zeta _ { r + 1 } = \ldots = \zeta _ { n } = 0$ ; confidence 0.868
+
2. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a130070105.png ; $\sigma ^ { * } ( d ) < \alpha d$ ; confidence 0.991
  
3. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240209.png ; $S$ ; confidence 0.868
+
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/m120160/m12016065.png ; $\Omega _ { p _ { 1 } n _ { 1 } } ( t ^ { \prime } t ^ { \prime } )$ ; confidence 0.868
+
4. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110640/a11064015.png ; $1$ ; confidence 0.991
  
5. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073700/p073700205.png ; $l _ { n } = \# \{ s \in S : d ( s ) = n \}$ ; confidence 0.868
+
5. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070010/o07001069.png ; $G \rightarrow G ( x )$ ; confidence 0.991
  
6. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650145.png ; $\phi * : H ^ { * } ( B / S ) = H ^ { * } ( T M ) \rightarrow H ^ { * } ( M )$ ; confidence 0.867
+
6. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a120070100.png ; $< 2 m$ ; confidence 0.991
  
7. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l05700011.png ; $M N$ ; confidence 0.867
+
7. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025930/c02593040.png ; $\phi ^ { * } ( g )$ ; confidence 0.991
  
8. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059350/l05935013.png ; $x ^ { ( n ) } + \alpha _ { 1 } ( t ) x ^ { ( n - 1 ) } + \ldots + \alpha _ { n } ( t ) x = 0$ ; confidence 0.867
+
8. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012950/a01295056.png ; $p = 2$ ; confidence 0.991
  
9. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042095.png ; $C ^ { * }$ ; confidence 0.866
+
9. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a011460122.png ; $A ^ { * } ( X )$ ; confidence 0.991
  
10. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130130/d1301309.png ; $z = r \operatorname { cos } \theta$ ; confidence 0.866
+
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/d/d110/d110230/d11023041.png ; $K = \overline { K } \cap L _ { m } ( G )$ ; confidence 0.866
+
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/e/e036/e036770/e03677067.png ; $\phi ^ { - 1 } ( b ) \cong P ^ { \prime } ( C )$ ; confidence 0.866
+
12. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077630/r07763056.png ; $\phi \mapsto \delta _ { \phi }$ ; confidence 0.991
  
13. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e03696065.png ; $y _ { j } \delta \theta$ ; confidence 0.866
+
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/p/p075/p075350/p07535088.png ; $P _ { s } ^ { l } ( k )$ ; confidence 0.866
+
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/s/s120/s120230/s1202309.png ; $O ( r )$ ; confidence 0.866
+
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/m063/m063920/m063920116.png ; $\int \int K d S$ ; confidence 0.865
+
16. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011720/a01172012.png ; $\operatorname { Red } : X ( K ) \rightarrow X _ { 0 } ( k )$ ; confidence 0.991
  
17. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240369.png ; $M _ { H } M _ { E } ^ { - 1 }$ ; confidence 0.865
+
17. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130290/a13029031.png ; $P \rightarrow \Sigma$ ; confidence 0.991
  
18. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240240.png ; $\sigma ^ { 2 }$ ; confidence 0.864
+
18. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014090/a01409051.png ; $\psi ( t _ { i } )$ ; confidence 0.991
  
19. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110380/b11038070.png ; $\Theta f$ ; confidence 0.864
+
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/f/f041/f041250/f0412506.png ; $\infty \rightarrow \alpha / c$ ; confidence 0.864
+
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/m063/m063590/m06359074.png ; $F \mapsto F ( P )$ ; confidence 0.864
+
21. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017400/b01740070.png ; $k ^ { \prime } = 1$ ; confidence 0.991
  
22. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510139.png ; $L \subset Z ^ { 0 }$ ; confidence 0.864
+
22. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022290/c0222907.png ; $\theta \leq 1 / 2$ ; confidence 0.991
  
23. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087320/s08732031.png ; $\Pi ^ { * } \in C$ ; confidence 0.864
+
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/t/t093/t093770/t09377039.png ; $g = R ^ { \alpha } f$ ; confidence 0.864
+
24. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025350/c025350104.png ; $B \rightarrow H$ ; confidence 0.991
  
25. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310161.png ; $A W ^ { * }$ ; confidence 0.863
+
25. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025710/c0257107.png ; $U = U ( x _ { 0 } )$ ; confidence 0.991
  
26. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240544.png ; $20$ ; confidence 0.863
+
26. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025890/c02589013.png ; $( T ^ { * } ( t ) = T ( t ) )$ ; confidence 0.991
  
27. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022013.png ; $T : X \rightarrow Y$ ; confidence 0.863
+
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/a/a120/a120050/a12005085.png ; $0 \leq t _ { 1 } \leq \ldots \leq t _ { k } \leq T$ ; confidence 0.863
+
28. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031250/d03125044.png ; $\phi : A \rightarrow A$ ; confidence 0.991
  
29. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c02278058.png ; $O ( X ) = \oplus _ { n = - \infty } ^ { + \infty } O ^ { n } ( X )$ ; confidence 0.863
+
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/s/s085/s085590/s085590370.png ; $x _ { 0 } ^ { 2 } + \ldots + x _ { n } ^ { 2 } = 0$ ; confidence 0.863
+
30. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033530/d033530133.png ; $\zeta ( \sigma + i t ) \neq 0$ ; confidence 0.991
  
31. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012073.png ; $z | < R$ ; confidence 0.863
+
31. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038220/f03822036.png ; $Q \subset P ^ { 4 }$ ; confidence 0.991
  
32. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013250/a01325015.png ; $\operatorname { arg } f$ ; confidence 0.862
+
32. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f130100140.png ; $G = T$ ; confidence 0.991
  
33. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055480/k05548036.png ; $\| g _ { \alpha \beta } \|$ ; confidence 0.862
+
33. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041050/f04105039.png ; $f \in L _ { 1 }$ ; confidence 0.991
  
34. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072210/p07221037.png ; $F ^ { k }$ ; confidence 0.862
+
34. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041250/f041250105.png ; $L _ { k } ( z _ { k } )$ ; confidence 0.991
  
35. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093330/t09333059.png ; $r _ { 2 } \in R$ ; confidence 0.862
+
35. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041270/f04127030.png ; $\alpha < \beta < \gamma$ ; confidence 0.991
  
36. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081430/r08143081.png ; $e X$ ; confidence 0.861
+
36. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041790/f04179028.png ; $( n ! ) ^ { - 1 } n _ { D }$ ; confidence 0.991
  
37. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026980/c02698053.png ; $E _ { 8 }$ ; confidence 0.860
+
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/n/n066/n066520/n06652019.png ; $\epsilon < \epsilon ^ { \prime } < \ldots$ ; confidence 0.860
+
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/w/w097/w097670/w097670169.png ; $\operatorname { gr } ( A _ { 1 } ( K ) )$ ; confidence 0.860
+
39. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055850/k05585032.png ; $W _ { \alpha } ( P ) \subseteq ( D _ { \alpha } ) ^ { n }$ ; confidence 0.991
  
40. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040106.png ; $L ] = \lambda$ ; confidence 0.859
+
40. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120190/l12019010.png ; $\lambda _ { j } + \overline { \lambda } _ { k } = 0$ ; confidence 0.991
  
41. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240341.png ; $Z , \Gamma , F$ ; confidence 0.859
+
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/b/b017/b017800/b01780053.png ; $n = p$ ; confidence 0.858
+
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/c/c025/c025470/c02547063.png ; $\alpha = d t + \sum p _ { i } d q _ { i }$ ; confidence 0.858
+
43. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065250/m06525013.png ; $G _ { 1 } / N$ ; confidence 0.991
  
44. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130020/e13002010.png ; $\varphi$ ; confidence 0.858
+
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/m063/m063920/m063920117.png ; $\int \int K d S \leq 2 \pi ( \chi - k )$ ; confidence 0.858
+
45. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076530/q07653051.png ; $x ^ { 1 } = 0$ ; confidence 0.991
  
46. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082570/r08257030.png ; $j 2 ^ { - k - l }$ ; confidence 0.858
+
46. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080930/r08093022.png ; $R _ { 0 } \subset F$ ; confidence 0.991
  
47. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240391.png ; $( M _ { H } M _ { E } ^ { - 1 } ) >$ ; confidence 0.858
+
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/a/a130/a130240/a130240384.png ; $q \geq 2$ ; confidence 0.857
+
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/a/a130/a130130/a1301304.png ; $8$ ; confidence 0.857
+
49. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240437.png ; $( p \times q )$ ; confidence 0.991
  
50. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240354.png ; $E ( Z _ { 2 } )$ ; confidence 0.857
+
50. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011100/a01110052.png ; $A ^ { \prime }$ ; confidence 0.991
  
51. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036910/e03691052.png ; $z = \operatorname { ln } \alpha = \operatorname { ln } | \alpha | + i \operatorname { Arg } \alpha$ ; confidence 0.857
+
51. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a120070113.png ; $L ^ { p } ( \Omega )$ ; confidence 0.991
  
52. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058820/l058820245.png ; $\operatorname { lim } _ { x \rightarrow x _ { 0 } } ( f _ { 1 } ( x ) / f _ { 2 } ( x ) )$ ; confidence 0.857
+
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/a/a110/a110040/a110040206.png ; $\{ \sigma = 0 \} \subset P ^ { 4 }$ ; confidence 0.856
+
53. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018061.png ; $\phi ( s )$ ; confidence 0.991
  
54. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004020.png ; $a$ ; confidence 0.856
+
54. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006031.png ; $\{ X _ { t } : t \in Z ^ { 1 } \}$ ; confidence 0.991
  
55. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021620/c02162087.png ; $\kappa ( \eta ^ { q } ) \in H ^ { 2 q } ( B )$ ; confidence 0.856
+
55. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081041.png ; $L ( x ) = 0$ ; confidence 0.991
  
56. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036980/e03698026.png ; $\alpha : G \rightarrow \operatorname { Aut } A$ ; confidence 0.856
+
56. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040139.png ; $J ( C ) / E$ ; confidence 0.991
  
57. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240513.png ; $T _ { 2 }$ ; confidence 0.856
+
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/b/b016/b016170/b01617013.png ; $F _ { n } ( z )$ ; confidence 0.855
+
58. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n066900107.png ; $( m , \phi )$ ; confidence 0.991
  
59. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041310/f04131029.png ; $\Lambda = \frac { \partial } { \partial x } + i \frac { \partial } { \partial y }$ ; confidence 0.855
+
59. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a01417013.png ; $M = D$ ; confidence 0.991
  
60. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130060/b13006060.png ; $b _ { i }$ ; confidence 0.854
+
60. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008080.png ; $n = 3$ ; confidence 0.991
  
61. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033460/d033460124.png ; $| F _ { 0 } ^ { \prime } ( \zeta _ { 0 } ) | \leq | F ^ { \prime } ( \zeta _ { 0 } ) | \leq | F _ { \pi / 2 } ^ { \prime } ( \zeta _ { 0 } ) |$ ; confidence 0.854
+
61. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063010/m06301073.png ; $p = n / 2$ ; confidence 0.991
  
62. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086960/s08696076.png ; $V < 0$ ; confidence 0.854
+
62. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020090.png ; $\psi : B \rightarrow C$ ; confidence 0.991
  
63. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539056.png ; $\delta ^ { * } ( x ) = \left\{ \begin{array} { l l } { d _ { 1 } , } & { \text { if } \frac { p ( x | \theta _ { 2 } ) } { p ( x | \theta _ { 1 } ) } \leq \frac { \pi _ { 1 } } { \pi _ { 2 } } \frac { L _ { 12 } - L _ { 11 } } { L _ { 21 } - L _ { 22 } } } \\ { d _ { 2 } , } & { \text { if } \frac { p ( x | \theta _ { 2 } ) } { p ( x | \theta _ { 1 } ) } \geq \frac { \pi _ { 1 } } { \pi _ { 2 } } \frac { L _ { 12 } - L _ { 11 } } { L _ { 21 } - L _ { 22 } } } \end{array} \right.$ ; confidence 0.853
+
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/a/a010/a010120/a01012068.png ; $\{ \nu _ { k } \} \cap \{ \mu _ { n } \} = \emptyset$ ; confidence 0.853
+
64. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020570/c02057060.png ; $\overline { \partial } f = g$ ; confidence 0.991
  
65. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001017.png ; $x = A ^ { - 1 } b$ ; confidence 0.852
+
65. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011480/a011480137.png ; $f ( x _ { 0 } , y )$ ; confidence 0.991
  
66. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240302.png ; $\hat { \eta } \omega$ ; confidence 0.852
+
66. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110110/a1101102.png ; $V _ { T }$ ; confidence 0.991
  
67. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033980/d03398025.png ; $\sum _ { m = 1 } ^ { \infty } u _ { m n n }$ ; confidence 0.852
+
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/e/e035/e035110/e03511022.png ; $\Sigma - 1$ ; confidence 0.852
+
68. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872087.png ; $\operatorname { Der } _ { k } ( A )$ ; confidence 0.991
  
69. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092600/t092600123.png ; $B = I _ { p }$ ; confidence 0.852
+
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/c/c023/c023250/c023250173.png ; $\beta _ { 0 }$ ; confidence 0.851
+
70. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080900/r0809004.png ; $C _ { G } ( S )$ ; confidence 0.991
  
71. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110050/h11005031.png ; $w _ { 2 } = f ( r _ { 1 } ) \ldots f ( r _ { n } )$ ; confidence 0.851
+
71. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007095.png ; $\alpha \geq 3$ ; confidence 0.991
  
72. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059110/l05911087.png ; $l _ { 2 } u = \phi _ { 2 } ( t )$ ; confidence 0.851
+
72. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052031.png ; $g ( A )$ ; confidence 0.991
  
73. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l120120133.png ; $( K _ { p } ) _ { i n s }$ ; confidence 0.851
+
73. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w12009054.png ; $\Lambda ^ { + } ( n , r )$ ; confidence 0.990
  
74. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001029.png ; $| b | \leq \| A |$ ; confidence 0.850
+
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/a/a130/a130040/a130040143.png ; $S 5$ ; confidence 0.850
+
75. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a11022014.png ; $C _ { \pi } = \{ \pi ^ { - 1 } B : B \in B ( \pi H ) \}$ ; confidence 0.990
  
76. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130250/c13025017.png ; $Y _ { j } = i$ ; confidence 0.850
+
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/i/i050/i050950/i05095033.png ; $S = \frac { K } { 3 }$ ; confidence 0.850
+
77. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240494.png ; $k = 1$ ; confidence 0.990
  
78. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c02278052.png ; $N \gg n$ ; confidence 0.849
+
78. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450110.png ; $l ( D ) \geq 1$ ; confidence 0.990
  
79. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024890/c0248905.png ; $\alpha ( x ) - b ( x ) = f ( x ) g ( x ) + p h ( x )$ ; confidence 0.849
+
79. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a0114607.png ; $C ^ { 1 } ( X )$ ; confidence 0.990
  
80. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040230/f040230100.png ; $x _ { n } = n$ ; confidence 0.849
+
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/m064/m064580/m06458025.png ; $k _ { 1 } + \ldots + k _ { n } = k$ ; confidence 0.849
+
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/a/a110/a110040/a11004044.png ; $( Z / d _ { 1 } Z ) ^ { 2 } \times ( Z / d _ { 2 } Z ) ^ { 2 }$ ; confidence 0.848
+
82. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011520/a01152030.png ; $G ( x )$ ; confidence 0.990
  
83. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044470/g044470103.png ; $\psi \circ \phi = \phi ^ { \prime } \circ \psi$ ; confidence 0.848
+
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/n/n066/n066890/n06689067.png ; $v = 1.1 m / sec$ ; confidence 0.848
+
84. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590593.png ; $h ( x ) = \frac { \rho X ( x ) } { \| X ( x ) \| }$ ; confidence 0.990
  
85. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680179.png ; $\phi _ { x y } a \leq b$ ; confidence 0.847
+
85. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700235.png ; $\operatorname { dim } V = n$ ; confidence 0.990
  
86. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130080/d13008069.png ; $H = C ^ { n }$ ; confidence 0.847
+
86. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a014170150.png ; $X = K \backslash G$ ; confidence 0.990
  
87. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040468.png ; $CPC$ ; confidence 0.846
+
87. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010023.png ; $A : D ( A ) \subset X \rightarrow 2 ^ { X }$ ; confidence 0.990
  
88. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a130130103.png ; $K P$ ; confidence 0.846
+
88. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820126.png ; $\gamma ( T )$ ; confidence 0.990
  
89. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110580/a11058047.png ; $= v : q$ ; confidence 0.846
+
89. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a011370142.png ; $\operatorname { Re } ( f )$ ; confidence 0.990
  
90. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120070/e12007012.png ; $\Gamma _ { q }$ ; confidence 0.846
+
90. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012080.png ; $t \geq 0$ ; confidence 0.990
  
91. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120080/f120080162.png ; $L _ { q } ( X )$ ; confidence 0.846
+
91. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r07764081.png ; $s = f ( x )$ ; confidence 0.990
  
92. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a120160130.png ; $W E = R . F . I$ ; confidence 0.845
+
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/e/e036/e036070/e03607020.png ; $\tau _ { n } ^ { ( B ) }$ ; confidence 0.845
+
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/l/l058/l058820/l058820138.png ; $\operatorname { lim } _ { x \rightarrow x _ { 0 } } f ( x ) = \alpha$ ; confidence 0.845
+
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/m064720/m0647206.png ; $f _ { E } ^ { \prime } ( \zeta )$ ; confidence 0.845
+
95. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024097.png ; $y = \alpha + \beta t +$ ; confidence 0.990
  
96. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070220/o07022036.png ; $E$ ; confidence 0.845
+
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/p/p074/p074690/p07469030.png ; $\pi G ( x ) = b$ ; confidence 0.845
+
97. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085210/s08521033.png ; $1 > 3$ ; confidence 0.990
  
98. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082230/r0822307.png ; $| x _ { i } | \leq 1$ ; confidence 0.845
+
98. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121083.png ; $q ( x , \lambda )$ ; confidence 0.990
  
99. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022026.png ; $C ^ { p } / \Gamma$ ; confidence 0.843
+
99. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016038.png ; $\lambda$ ; confidence 0.990
  
100. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a12031093.png ; $I _ { 1 }$ ; confidence 0.843
+
100. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110410/a11041034.png ; $( S , K _ { S } ^ { t - 1 } \otimes L )$ ; confidence 0.990
  
101. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c120210117.png ; $\Lambda _ { n } ( \theta ) - h ^ { \prime } \Delta _ { n } ( \theta ) \rightarrow - \frac { 1 } { 2 } h ^ { \prime } \Gamma ( \theta ) h$ ; confidence 0.843
+
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/j/j120/j120010/j12001037.png ; $\operatorname { log } F \leq 100$ ; confidence 0.843
+
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/p/p075/p075350/p07535017.png ; $q IL$ ; confidence 0.843
+
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/a/a110/a110010/a11001087.png ; $= \| ( I - ( I - B A ) ) ^ { - 1 } B r \| \leq$ ; confidence 0.843
+
104. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024055.png ; $L \subset F$ ; confidence 0.990
  
105. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240357.png ; $n - r \geq p$ ; confidence 0.843
+
105. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a1200203.png ; $A \subset Y$ ; confidence 0.990
  
106. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042077.png ; $K _ { 0 } ( \varphi ) = K _ { 0 } ( \psi )$ ; confidence 0.842
+
106. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015350/b015350372.png ; $\{ \xi _ { t } \}$ ; confidence 0.990
  
107. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i050230312.png ; $- \infty < r < \infty$ ; confidence 0.842
+
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/i/i051/i051880/i05188051.png ; $\mathfrak { M } \in S _ { 1 }$ ; confidence 0.842
+
108. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110420/b11042055.png ; $\mu \in R$ ; confidence 0.990
  
109. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a1202209.png ; $x | < e$ ; confidence 0.841
+
109. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016550/b01655023.png ; $\mu _ { n } ( t ) = 0$ ; confidence 0.990
  
110. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082290/r08229026.png ; $y _ { n } \leq x _ { n } \leq z _ { n }$ ; confidence 0.841
+
110. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024800/c02480058.png ; $D \subset D _ { 1 }$ ; confidence 0.990
  
111. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001044.png ; $k ( A ) = 10 ^ { p }$ ; confidence 0.841
+
111. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026870/c02687095.png ; $D U$ ; confidence 0.990
  
112. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031950/d03195033.png ; $L u = \operatorname { div } ( p ( x ) \operatorname { grad } u ) + q ( x ) u$ ; confidence 0.840
+
112. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110220/d11022035.png ; $L y = g$ ; confidence 0.990
  
113. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037080/e03708073.png ; $x _ { i } ^ { 2 } = 0$ ; confidence 0.840
+
113. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035560/e03556014.png ; $y ^ { \prime } ( 0 ) = 0$ ; confidence 0.990
  
114. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f12011010.png ; $| \varphi ( z ) | ^ { 2 } e ^ { \delta | z | }$ ; confidence 0.840
+
114. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110100/e11010022.png ; $o ( G )$ ; confidence 0.990
  
115. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120070/g12007022.png ; $m \equiv 4$ ; confidence 0.840
+
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/r/r077/r077260/r07726020.png ; $\zeta _ { 2 n } = \sqrt { - 2 \operatorname { ln } \xi _ { 2 n } } \operatorname { sin } 2 \pi \xi _ { 2 n - 1 }$ ; confidence 0.840
+
116. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046300/h046300124.png ; $P _ { n - k }$ ; confidence 0.990
  
117. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022039.png ; $A l ( z ) = A l ( z _ { 1 } , \dots , z _ { p } ) =$ ; confidence 0.840
+
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/a/a110/a110010/a110010188.png ; $M _ { i } = \{ z : | z - \lambda _ { i } | \leq \| T ^ { - 1 } \| \| T \| \delta A \| \}$ ; confidence 0.839
+
118. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i13003026.png ; $[ T ^ { * } M ]$ ; confidence 0.990
  
119. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020740/c020740328.png ; $e \in E$ ; confidence 0.839
+
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/a/a130/a130010/a1300102.png ; $C$ ; confidence 0.838
+
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/a/a120/a120220/a12022031.png ; $0 \leq S \leq T$ ; confidence 0.838
+
121. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840354.png ; $C = C ^ { * }$ ; confidence 0.990
  
122. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062490/m06249026.png ; $\Lambda \in N ^ { t }$ ; confidence 0.838
+
122. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057440/l05744010.png ; $D = 2 \gamma k T / M$ ; confidence 0.990
  
123. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024069.png ; $y _ { i j k }$ ; confidence 0.838
+
123. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063240/m063240457.png ; $\mu _ { i } ( X _ { i } ) = 1$ ; confidence 0.990
  
124. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110080/a11008026.png ; $s = \eta c / \omega$ ; confidence 0.837
+
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/k/k055/k055450/k0554502.png ; $u | _ { \Sigma } = 0$ ; confidence 0.837
+
125. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074150/p074150292.png ; $f \in C$ ; confidence 0.990
  
126. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059250/l05925090.png ; $v \in ( 1 - t ) V$ ; confidence 0.837
+
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/s/s085/s085620/s085620184.png ; $f _ { t } = h _ { t } \circ f _ { 0 } \circ k _ { t }$ ; confidence 0.837
+
127. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082160/r08216057.png ; $N = 0$ ; confidence 0.990
  
128. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090450/s09045062.png ; $\zeta ^ { \phi } \in C ^ { d }$ ; confidence 0.837
+
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/a/a110/a110010/a110010301.png ; $f ^ { ( r ) } ( \lambda )$ ; confidence 0.837
+
129. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130210/t13021052.png ; $2 / ( 3 N / 2 )$ ; confidence 0.990
  
130. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240168.png ; $\alpha , = 0$ ; confidence 0.837
+
130. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097710/w09771067.png ; $N _ { G } ( T ) / Z _ { G } ( T )$ ; confidence 0.990
  
131. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012045.png ; $S _ { \alpha } = W _ { 1 } , \quad W _ { \alpha } = W _ { 1 } , \quad 0 \leq \alpha < \infty$ ; confidence 0.837
+
131. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120298.png ; $F = \overline { C } \backslash G$ ; confidence 0.990
  
132. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010330/a01033019.png ; $\operatorname { log } \beta _ { \gamma }$ ; confidence 0.836
+
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/d/d032/d032610/d03261012.png ; $y = y _ { 0 } - a n$ ; confidence 0.836
+
133. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004088.png ; $( 1 , d )$ ; confidence 0.990
  
134. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054050/j05405060.png ; $H _ { 2 } = \prod _ { m = 1 } ^ { \infty } ( 1 + e ^ { ( 2 m - 1 ) i \pi \tau } )$ ; confidence 0.836
+
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/a/a130/a130040/a130040284.png ; $\square x \rightarrow y$ ; confidence 0.836
+
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/b/b110/b110100/b11010099.png ; $\| T \| T ^ { - 1 } \| \geq c n$ ; confidence 0.835
+
136. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a01149038.png ; $x _ { 0 } \in G$ ; confidence 0.990
  
137. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025440/c02544025.png ; $D ^ { + } = \cup _ { k = 1 } ^ { m } D _ { k }$ ; confidence 0.835
+
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/c/c110/c110410/c11041081.png ; $\{ X _ { t } : t \in T \}$ ; confidence 0.835
+
138. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044670/g0446706.png ; $A _ { x } = 0$ ; confidence 0.990
  
139. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240429.png ; $\Theta$ ; confidence 0.834
+
139. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240172.png ; $\gamma _ { j } = 0$ ; confidence 0.990
  
140. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650252.png ; $\forall x _ { k }$ ; confidence 0.834
+
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/e/e110/e110070/e11007046.png ; $C x ^ { - 1 }$ ; confidence 0.834
+
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/f/f041/f041250/f0412503.png ; $z \rightarrow w = L ( z ) = \frac { a z + b } { c z + d }$ ; confidence 0.834
+
142. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110380/a11038054.png ; $\approx 0 \subseteq \approx$ ; confidence 0.990
  
143. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a01406076.png ; $\mathfrak { A } _ { s _ { 1 } }$ ; confidence 0.833
+
143. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590438.png ; $D ( \epsilon )$ ; confidence 0.990
  
144. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015350/b01535027.png ; $\alpha _ { i } \in \Omega$ ; confidence 0.833
+
144. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110170/a11017014.png ; $\Omega _ { 0 }$ ; confidence 0.990
  
145. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830269.png ; $\operatorname { ord } ( \theta ) = \sum e$ ; confidence 0.833
+
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/m062/m062590/m06259032.png ; $B = 0$ ; confidence 0.833
+
146. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110340/a1103407.png ; $C ( \theta _ { i } )$ ; confidence 0.990
  
147. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024082.png ; $\partial L = a$ ; confidence 0.832
+
147. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a0114604.png ; $C ^ { p } ( X )$ ; confidence 0.990
  
148. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015580/b0155806.png ; $p _ { i } = \nu ( \alpha _ { i } )$ ; confidence 0.832
+
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/w/w097/w097030/w09703012.png ; $\overline { \sum _ { g } n ( g ) g } = \sum w ( g ) n ( g ) g ^ { - 1 }$ ; confidence 0.832
+
149. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054270/j05427051.png ; $J = N + W$ ; confidence 0.990
  
150. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013041.png ; $\sum _ { i = 0 } ^ { \infty } X _ { i } z ^ { - i }$ ; confidence 0.831
+
150. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040329.png ; $E ( x , y )$ ; confidence 0.990
  
151. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032250/d03225022.png ; $\partial M$ ; confidence 0.831
+
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/i/i130/i130080/i13008028.png ; $X ^ { \prime \prime } = L _ { 1 } ^ { \prime \prime } \cap L _ { 2 } ^ { \prime \prime } = L _ { 2 } ^ { \prime \prime } \cap L _ { 3 } ^ { \prime \prime } = L _ { 1 } ^ { \prime \prime } \cap L _ { 3 } ^ { \prime \prime }$ ; confidence 0.831
+
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/s/s130/s130640/s13064057.png ; $L ^ { 1 } ( R ) \cap L ^ { \infty } ( R )$ ; confidence 0.831
+
153. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081370/r0813704.png ; $V = H$ ; confidence 0.990
  
154. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023140/c023140243.png ; $u \mapsto \rho ( u ) - \operatorname { Tr } ( \text { ad } u ) \in \operatorname { End } _ { K } ( M )$ ; confidence 0.830
+
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/s/s090/s090770/s090770137.png ; $\lambda _ { 1 } < \lambda _ { 2 } < \ldots$ ; confidence 0.830
+
155. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042050.png ; $( K _ { 0 } ( A ) , K _ { 0 } ( A ) ^ { + } , \Sigma ( A ) )$ ; confidence 0.990
  
156. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010264.png ; $1 / m$ ; confidence 0.829
+
156. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013180/a01318024.png ; $( u , v )$ ; confidence 0.990
  
157. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006027.png ; $A ; \in A$ ; confidence 0.829
+
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/b/b015/b015720/b01572032.png ; $+ \frac { \alpha } { u } [ \alpha ( \frac { \partial u } { \partial x } ) ^ { 2 } + 2 b \frac { \partial u } { \partial x } \frac { \partial u } { \partial y } + c ( \frac { \partial u } { \partial y } ) ^ { 2 } ] +$ ; confidence 0.828
+
158. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h047970134.png ; $( C , A )$ ; confidence 0.989
  
159. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031680/d03168056.png ; $q _ { 2 } \neq q _ { 1 }$ ; confidence 0.828
+
159. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110070/a11007016.png ; $\Pi _ { p } ( X , Y )$ ; confidence 0.989
  
160. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059490/l059490217.png ; $\rho ^ { ( j ) }$ ; confidence 0.828
+
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/s/s083/s083000/s08300044.png ; $D _ { n } X _ { 1 }$ ; confidence 0.828
+
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/y/y110/y110010/y11001011.png ; $g ^ { \prime } = \phi ^ { 4 / ( n - 2 ) } g$ ; confidence 0.828
+
162. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110070/k1100709.png ; $\pi : G \rightarrow$ ; confidence 0.989
  
163. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002036.png ; $g \mapsto g ^ { t }$ ; confidence 0.827
+
163. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082090.png ; $\operatorname { dim } G = m$ ; confidence 0.989
  
164. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021031.png ; $\| \omega \| ^ { 2 } = i \sum _ { j = 1 } ^ { g } ( A _ { j } \overline { B } _ { j } - B _ { j } \overline { A } _ { j } ) \geq 0$ ; confidence 0.827
+
164. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050293.png ; $n \rightarrow \infty$ ; confidence 0.989
  
165. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110050/c11005010.png ; $CW ( 9.63 )$ ; confidence 0.827
+
165. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020065.png ; $\alpha : A \rightarrow B$ ; confidence 0.989
  
166. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075480/p0754802.png ; $( p \supset ( q \supset r ) ) \supset ( ( p \supset q ) \supset ( p \supset r ) )$ ; confidence 0.827
+
166. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004070.png ; $X = \Gamma \backslash D$ ; confidence 0.989
  
167. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075830/p0758301.png ; $a \vee b$ ; confidence 0.827
+
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/s/s087/s087360/s087360105.png ; $\operatorname { lim } _ { n \rightarrow \infty } P \{ \frac { \alpha - \alpha } { \sigma _ { n } ( \alpha ) } < x \} = \frac { 1 } { \sqrt { 2 \pi } } \int _ { - \infty } ^ { x } e ^ { - t ^ { 2 } / 2 } d t \equiv \Phi ( x )$ ; confidence 0.827
+
168. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w12009053.png ; $\Lambda ( n , r )$ ; confidence 0.989
  
169. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130090/c13009010.png ; $x _ { j } = \operatorname { cos } ( \pi j / N )$ ; confidence 0.826
+
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/o/o070/o070340/o07034097.png ; $y = K _ { n } ( x )$ ; confidence 0.826
+
170. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054270/j05427064.png ; $J / R$ ; confidence 0.989
  
171. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590585.png ; $\| x \| = \rho$ ; confidence 0.826
+
171. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120132.png ; $H _ { r } ( A , X )$ ; confidence 0.989
  
172. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047930/h04793027.png ; $x = [ u ]$ ; confidence 0.825
+
172. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001032.png ; $g ( \xi ^ { \alpha } , \xi ^ { b } ) = \delta _ { \alpha b }$ ; confidence 0.989
  
173. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010252.png ; $\delta A = - r x ^ { * } / \| x \| _ { 2 } ^ { 2 }$ ; confidence 0.825
+
173. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046054.png ; $\{ x + \xi h : | \xi | \leq 1 \}$ ; confidence 0.989
  
174. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012050.png ; $z | > 1$ ; confidence 0.823
+
174. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065570/m06557011.png ; $L = k v$ ; confidence 0.989
  
175. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035720/e0357202.png ; $\operatorname { lim } _ { k \rightarrow \infty } | \alpha _ { k } | ^ { 1 / k } = 0$ ; confidence 0.823
+
175. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a1100207.png ; $( v , k , \lambda )$ ; confidence 0.989
  
176. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075560/p075560134.png ; $( P . Q ) ! = ( P \times Q ) ! = ( P ! \times Q ! ) !$ ; confidence 0.823
+
176. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a01146073.png ; $( X )$ ; confidence 0.989
  
177. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013056.png ; $A _ { 1 } ^ { ( 1 ) }$ ; confidence 0.822
+
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/b/b016/b016670/b01667071.png ; $n _ { 1 } = 9$ ; confidence 0.822
+
178. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145085.png ; $l ( D ) - 1$ ; confidence 0.989
  
179. 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
+
179. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a12031048.png ; $M ( K )$ ; confidence 0.989
  
180. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110130/m11013041.png ; $\beta + \gamma \simeq \alpha . S ( t )$ ; confidence 0.822
+
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/s/s130/s130040/s13004069.png ; $X ^ { * } = \Gamma \backslash D ^ { * }$ ; confidence 0.822
+
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/a/a010/a010180/a01018017.png ; $20,21,22$ ; confidence 0.822
+
182. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420143.png ; $1$ ; confidence 0.989
  
183. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022052.png ; $W ^ { T }$ ; confidence 0.822
+
183. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240396.png ; $M _ { H }$ ; confidence 0.989
  
184. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210116.png ; $d [ ( \omega ) ] = \alpha _ { 1 } + \ldots + \alpha _ { n }$ ; confidence 0.821
+
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/g/g043/g043580/g04358023.png ; $f _ { \zeta } ( \lambda )$ ; confidence 0.821
+
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/l/l059/l059140/l0591406.png ; $T _ { x _ { 1 } } ( M ) \rightarrow T _ { x _ { 0 } } ( M )$ ; confidence 0.821
+
186. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b1302903.png ; $d = \operatorname { dim } A$ ; confidence 0.989
  
187. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082050/r08205056.png ; $\partial \overline { R } _ { \nu }$ ; confidence 0.821
+
187. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020920/c02092043.png ; $x = x ^ { 0 }$ ; confidence 0.989
  
188. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015110/b01511035.png ; $U ( y ) = \int _ { \Gamma } f ( x ) d \beta _ { Y } ( x )$ ; confidence 0.820
+
188. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023550/c023550235.png ; $\beta Y \backslash Y$ ; confidence 0.989
  
189. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016990/b0169909.png ; $\Omega _ { M } ( \rho ) \in V _ { M } ^ { V ^ { n } }$ ; confidence 0.820
+
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/c/c021/c021620/c02162091.png ; $c _ { q } ( \xi ) = \kappa ( \eta ^ { q } )$ ; confidence 0.820
+
190. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036530/e03653023.png ; $t h$ ; confidence 0.989
  
191. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d130060103.png ; $Z \in X$ ; confidence 0.820
+
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/e/e035/e035790/e03579057.png ; $\sum _ { n } ^ { - 1 }$ ; confidence 0.820
+
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/c/c026/c026460/c02646028.png ; $x _ { k + 1 } = x _ { k } - \alpha _ { k } p _ { k }$ ; confidence 0.819
+
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/q/q076/q076810/q07681026.png ; $\alpha = \operatorname { lim } _ { t \rightarrow 0 } \frac { P ( e ( t ) \geq 1 ) } { t }$ ; confidence 0.819
+
194. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048520/h04852064.png ; $| f | = 1$ ; confidence 0.989
  
195. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022110/c02211060.png ; $\xi _ { 1 } ^ { 2 } + \ldots + \xi _ { k - m - 1 } ^ { 2 } + \mu _ { 1 } \xi _ { k - m } ^ { 2 } + \ldots + \mu _ { m } \xi _ { k - 1 } ^ { 2 }$ ; confidence 0.818
+
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/c/c026/c026430/c02643058.png ; $F [ f ^ { * } g ] = \sqrt { 2 \pi } F [ f ] F [ g ]$ ; confidence 0.818
+
196. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052110/i05211013.png ; $T \subset R ^ { 1 }$ ; confidence 0.989
  
197. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033850/d0338502.png ; $x \square ^ { j }$ ; confidence 0.818
+
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/i/i051/i051150/i051150191.png ; $p ^ { t } ( . )$ ; confidence 0.817
+
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/l/l057/l057110/l0571105.png ; $\{ \phi _ { n } \} _ { n = 1 } ^ { \infty }$ ; confidence 0.817
+
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/r/r081/r081940/r08194033.png ; $G ( K ) \rightarrow G ( Q )$ ; confidence 0.817
+
200. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062490/m06249090.png ; $\alpha _ { \epsilon } ( h ) = o ( h )$ ; confidence 0.989
  
201. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240312.png ; $SS _ { e } = \sum _ { i j k } ( y _ { i j k } - y _ { i j } ) ^ { 2 }$ ; confidence 0.817
+
201. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063140/m06314076.png ; $x _ { 3 } = z$ ; confidence 0.989
  
202. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012430/a01243088.png ; $f$ ; confidence 0.816
+
202. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063800/m06380081.png ; $\sigma ( W )$ ; confidence 0.989
  
203. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017340/b01734046.png ; $t _ { 0 } \in \partial S$ ; confidence 0.816
+
203. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081430/r08143084.png ; $A = A _ { 1 } \times A _ { 2 }$ ; confidence 0.989
  
204. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021034.png ; $i ( \omega , \overline { \pi } ) = \sum _ { j = 1 } ^ { g } ( A _ { j } B _ { j } ^ { \prime } - B _ { j } A _ { j } ^ { \prime } ) = 0$ ; confidence 0.815
+
204. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086520/s086520138.png ; $\theta _ { T } = \theta$ ; confidence 0.989
  
205. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087400/s087400105.png ; $\in \Theta _ { 0 } \beta _ { n } ( \theta ) \leq \alpha$ ; confidence 0.815
+
205. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086650/s08665020.png ; $i > 2 n - 1$ ; confidence 0.989
  
206. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022038.png ; $S , T \in L ( X )$ ; confidence 0.814
+
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/a/a010/a010210/a01021089.png ; $A _ { k } = \int _ { a _ { k } } \omega _ { 1 } , \quad B _ { k } = \int _ { b _ { k } } \omega _ { 1 }$ ; confidence 0.814
+
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/n067850/n067850200.png ; $\operatorname { tr } _ { \sigma } A$ ; confidence 0.814
+
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/s/s085/s085210/s08521047.png ; $q ^ { 6 } ( q ^ { 2 } - 1 ) ( q ^ { 6 } - 1 )$ ; confidence 0.814
+
209. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028074.png ; $\omega ( H )$ ; confidence 0.989
  
210. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120090/f12009069.png ; $F \mu$ ; confidence 0.813
+
210. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l058720145.png ; $p = 7$ ; confidence 0.989
  
211. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050910/i05091079.png ; $Y _ { n k }$ ; confidence 0.813
+
211. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797078.png ; $\Delta x$ ; confidence 0.989
  
212. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072370/p07237025.png ; $\underline { H } \square _ { f }$ ; confidence 0.812
+
212. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b12021016.png ; $L ( \lambda )$ ; confidence 0.989
  
213. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077380/r07738071.png ; $P \{ | \frac { K _ { n } } { n } - \frac { 1 } { 2 } | < \frac { 1 } { 4 } \} = 1 - 2 P \{ \frac { K _ { n } } { n } < \frac { 1 } { 4 } \} \approx 1 - \frac { 4 } { \pi } \frac { \pi } { 6 } = \frac { 1 } { 3 }$ ; confidence 0.812
+
213. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a110220116.png ; $( H , C , m )$ ; confidence 0.989
  
214. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001028.png ; $k ( A ) = \| A ^ { - 1 } \| A \|$ ; confidence 0.811
+
214. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240542.png ; $( T _ { 1 } , T _ { 2 } )$ ; confidence 0.989
  
215. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001035.png ; $SU ( 2 )$ ; confidence 0.811
+
215. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016150/b01615014.png ; $n \leq 6$ ; confidence 0.989
  
216. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064540/m0645406.png ; $m _ { G } = D ( u ) / 2 \pi$ ; confidence 0.811
+
216. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031610/d03161042.png ; $f x$ ; confidence 0.989
  
217. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120070/q12007060.png ; $R _ { q ^ { 2 } }$ ; confidence 0.811
+
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/r/r081/r081160/r08116074.png ; $t + \tau$ ; confidence 0.811
+
218. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052056.png ; $q > 0$ ; confidence 0.989
  
219. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010195.png ; $\| ( \hat { \lambda } I - A ) ^ { - 1 } \delta A \| > 1$ ; confidence 0.810
+
219. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020570/c02057065.png ; $H ^ { p + 1 } ( X , S ) \rightarrow$ ; confidence 0.989
  
220. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001024.png ; $\delta x = A ^ { - 1 } ( - \delta A x - \delta A \delta x + \delta b )$ ; confidence 0.810
+
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/a/a011/a011620/a01162010.png ; $f ( x ) - P _ { n } ^ { 0 } ( x )$ ; confidence 0.810
+
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/i/i051/i051430/i05143039.png ; $\hat { \phi } ( x ) = \lambda \sum _ { i = 1 } ^ { n } C _ { i } \alpha _ { i } ( x ) + f ( x )$ ; confidence 0.810
+
222. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120386.png ; $\omega ( \zeta )$ ; confidence 0.989
  
223. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010430/a01043018.png ; $= P \{ \tau ( H ) \leq t , \xi ( \tau ( H ) ) = h | \xi ( 0 ) = i \}$ ; confidence 0.810
+
223. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120521.png ; $F ^ { * } / H ^ { 0 }$ ; confidence 0.989
  
224. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130020/a1300202.png ; $T ; X \rightarrow X$ ; confidence 0.809
+
224. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110490/a11049036.png ; $F = C$ ; confidence 0.989
  
225. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029015.png ; $f _ { \alpha } : \alpha X \rightarrow \alpha Y$ ; confidence 0.809
+
225. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025930/c0259308.png ; $\phi ^ { * } ( g ) = \phi ( g ^ { - 1 } ) ^ { * }$ ; confidence 0.989
  
226. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024061.png ; $k = 1 , \ldots , K$ ; confidence 0.809
+
226. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450105.png ; $l ( D ) = r$ ; confidence 0.989
  
227. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130030/b1300303.png ; $V ^ { \pm } \times V ^ { - } \times V ^ { \pm } \rightarrow V ^ { \pm }$ ; confidence 0.809
+
227. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095400/u09540022.png ; $p ^ { t }$ ; confidence 0.989
  
228. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110040/d1100407.png ; $S _ { p } ^ { n + p } ( c ) = \{ x \in R _ { p } ^ { n + p + 1 }$ ; confidence 0.809
+
228. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a011300156.png ; $\Delta _ { i } ( t )$ ; confidence 0.989
  
229. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031540/d03154015.png ; $G r$ ; confidence 0.809
+
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/q/q076/q076320/q07632017.png ; $j _ { X } : F ^ { \prime } \rightarrow F$ ; confidence 0.809
+
230. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590224.png ; $f _ { \zeta } = f _ { \zeta } ( z ) =$ ; confidence 0.988
  
231. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001069.png ; $b$ ; confidence 0.809
+
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/a/a010/a010120/a01012066.png ; $\{ \mu _ { n } \}$ ; confidence 0.808
+
232. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010710/a0107106.png ; $N ^ { k } \subseteq A$ ; confidence 0.988
  
233. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047930/h047930299.png ; $Z / p$ ; confidence 0.808
+
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/s/s087/s087280/s087280193.png ; $m = E X ( s )$ ; confidence 0.808
+
234. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590284.png ; $P = \{ z = ( z _ { 1 } , z _ { 2 } ) \in C ^ { 2 } : z _ { 2 } = 0 \}$ ; confidence 0.988
  
235. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110040/r11004022.png ; $k ^ { 2 } = k _ { c } ^ { 2 } + \frac { 3 } { 8 } \frac { \rho 2 g } { T \lambda _ { 0 } ^ { 2 } } ( 1 - \frac { \rho _ { 1 } } { \rho _ { 2 } } ) \epsilon ^ { 2 } + O ( \epsilon ^ { 3 } )$ ; confidence 0.807
+
235. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001055.png ; $\| A ^ { - 1 } \| = 10 ^ { 5 }$ ; confidence 0.988
  
236. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081430/r08143031.png ; $E / E ^ { \prime }$ ; confidence 0.807
+
236. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d03412070.png ; $H _ { r } ( X , A )$ ; confidence 0.988
  
237. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024027.png ; $Y = X B + E$ ; confidence 0.807
+
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/n/n066/n066490/n06649018.png ; $f ^ { - 1 } ( \alpha ) \cap \{ z : | z | \leq t \}$ ; confidence 0.806
+
238. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n066900122.png ; $( m , \phi ) \rightarrow \phi$ ; confidence 0.988
  
239. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680200.png ; $r$ ; confidence 0.805
+
239. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121075.png ; $y _ { 1 } ( x )$ ; confidence 0.988
  
240. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014140/a014140121.png ; $\sigma ( 1 ) = s$ ; confidence 0.805
+
240. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058520/l05852070.png ; $x = s + n$ ; confidence 0.988
  
241. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130080/d130080108.png ; $F \in Hol ( D )$ ; confidence 0.805
+
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/q/q076/q076800/q07680012.png ; $T ^ { S }$ ; confidence 0.805
+
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/q/q076/q076860/q07686069.png ; $f _ { X } : V _ { X } \rightarrow V _ { X } ^ { \prime }$ ; confidence 0.805
+
243. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310132.png ; $A ^ { \infty }$ ; confidence 0.988
  
244. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110150/r11015028.png ; $M \dot { y } = f ( y )$ ; confidence 0.805
+
244. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010950/a01095092.png ; $\xi ^ { i } ( x ^ { t } ) e _ { i } ( t )$ ; confidence 0.988
  
245. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013016.png ; $8$ ; confidence 0.804
+
245. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097710/w09771019.png ; $N _ { G } ( T _ { 0 } )$ ; confidence 0.988
  
246. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030280/d0302808.png ; $\tau _ { n } ( t ) = \frac { 1 } { 2 \pi } \frac { 2 ^ { 2 n } ( n ! ) ^ { 2 } } { ( 2 n ) ! } \operatorname { cos } ^ { 2 n } \frac { t } { 2 }$ ; confidence 0.804
+
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/a/a110/a110010/a11001089.png ; $| I - B A \| < 1$ ; confidence 0.804
+
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/c/c021/c021040/c02104057.png ; $- u _ { 3 }$ ; confidence 0.803
+
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/a/a010/a010210/a010210103.png ; $2 \pi i c$ ; confidence 0.802
+
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/e/e036/e036770/e03677058.png ; $P ^ { \prime } ( C )$ ; confidence 0.802
+
250. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059250/l05925051.png ; $( V )$ ; confidence 0.988
  
251. https://www.encyclopediaofmath.org/legacyimages/l/l061/l061160/l061160114.png ; $x _ { 0 } ( . ) : t _ { 0 } + R ^ { + } \rightarrow U$ ; confidence 0.802
+
251. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110410/a11041057.png ; $n \geq 3$ ; confidence 0.988
  
252. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072670/p07267050.png ; $f ^ { \prime } ( O _ { X ^ { \prime } } ) = O _ { S ^ { \prime } }$ ; confidence 0.802
+
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/q/q076/q076040/q07604075.png ; $\operatorname { arg } \operatorname { lim } _ { q \rightarrow r } Q _ { z } ( z ( q ) ) z ( q ) ^ { 2 }$ ; confidence 0.802
+
253. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042055.png ; $K _ { 0 } ( A ) ^ { + }$ ; confidence 0.988
  
254. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076800/q07680048.png ; $\leq \nu _ { i } ^ { s }$ ; confidence 0.802
+
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/l/l120/l120120/l120120208.png ; $G ( K _ { p ^ { \prime } } )$ ; confidence 0.801
+
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/p072530/p072530183.png ; $I ( G _ { p } )$ ; confidence 0.801
+
256. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017290/b01729088.png ; $A = R ( X )$ ; confidence 0.988
  
257. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010270.png ; $\operatorname { min } _ { i } | \hat { \lambda } - \lambda _ { i } | \leq \operatorname { max } \{ r \psi , r ^ { 1 / r } \psi ^ { 1 / r } \}$ ; confidence 0.800
+
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/c/c020/c020160/c02016022.png ; $K _ { X } K _ { X }$ ; confidence 0.800
+
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/c/c022/c022780/c022780429.png ; $\phi ^ { h } ( pt )$ ; confidence 0.800
+
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/f/f038/f038380/f03838022.png ; $C _ { 0 }$ ; confidence 0.800
+
260. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110410/c11041077.png ; $B _ { 1 }$ ; confidence 0.988
  
261. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087820/s087820182.png ; $\| y \| = \operatorname { max } _ { i } | y _ { i } |$ ; confidence 0.800
+
261. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033110/d03311036.png ; $| \{ Z \} _ { n } | \rightarrow \infty$ ; confidence 0.988
  
262. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010114.png ; $\operatorname { im } ( S ) = 7$ ; confidence 0.799
+
262. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041060/f041060172.png ; $X ^ { \prime } \subset X$ ; confidence 0.988
  
263. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026010/c02601042.png ; $N = N _ { 0 }$ ; confidence 0.799
+
263. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020256.png ; $C ^ { ( 0 ) }$ ; confidence 0.988
  
264. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058360/l058360142.png ; $P _ { 8 }$ ; confidence 0.799
+
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/n/n067/n067310/n06731043.png ; $B O$ ; confidence 0.799
+
265. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110080/i11008014.png ; $g \in E$ ; confidence 0.988
  
266. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097450/w09745039.png ; $j = g ^ { 3 } / g ^ { 2 }$ ; confidence 0.799
+
266. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063240/m063240221.png ; $E \in S ( R )$ ; confidence 0.988
  
267. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040799.png ; $D \in K$ ; confidence 0.799
+
267. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064000/m06400065.png ; $W ( N )$ ; confidence 0.988
  
268. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001039.png ; $\Phi ^ { \alpha } ( Y ) = \nabla _ { Y } \xi ^ { \alpha }$ ; confidence 0.798
+
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/c/c021/c021610/c02161069.png ; $\alpha _ { \nu } ( x ) \rightarrow b _ { \nu } ( x ^ { \prime } )$ ; confidence 0.798
+
269. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110010/r110010167.png ; $k ( \pi )$ ; confidence 0.988
  
270. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003022.png ; $w \mapsto ( w ^ { * } \varphi _ { \lambda } ) _ { \lambda \in \Lambda }$ ; confidence 0.798
+
270. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087420/s08742011.png ; $H = H _ { V } ( \omega )$ ; confidence 0.988
  
271. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046300/h04630075.png ; $M _ { 0 } \times I$ ; confidence 0.798
+
271. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087800/s08780026.png ; $x + C$ ; confidence 0.988
  
272. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012970/a012970176.png ; $d _ { 2 n - 1 } = d _ { 2 n }$ ; confidence 0.797
+
272. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590149.png ; $\operatorname { lim } f ( z )$ ; confidence 0.988
  
273. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020048.png ; $\alpha _ { i j } \neq 0$ ; confidence 0.797
+
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/d/d032/d032490/d03249026.png ; $G$ ; confidence 0.797
+
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/y/y110/y110010/y11001038.png ; $\| \phi _ { q } \| _ { q } = 1$ ; confidence 0.797
+
275. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074720/p07472044.png ; $H ^ { 1 } ( S , O _ { S } )$ ; confidence 0.988
  
276. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240535.png ; $k ( X _ { 2 } ) = p$ ; confidence 0.797
+
276. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a011210101.png ; $2 \pi / 3$ ; confidence 0.988
  
277. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130270/b13027070.png ; $B \otimes K ( H )$ ; confidence 0.796
+
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/m/m130/m130030/m1300307.png ; $f ( z ^ { d } ) = f ( z ) - z$ ; confidence 0.796
+
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/a/a130/a130240/a130240414.png ; $f ( Z _ { 1 } )$ ; confidence 0.795
+
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/l/l057/l057450/l05745021.png ; $v \in C ( \overline { G } )$ ; confidence 0.795
+
280. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010710/a01071038.png ; $N = \cap _ { i } Q$ ; confidence 0.988
  
281. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065580/m0655809.png ; $P ( x ) = \sum _ { k = 1 } ^ { n } \alpha _ { k } x ^ { \lambda _ { k } }$ ; confidence 0.795
+
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/p110/p110230/p11023076.png ; $x \in R ^ { + }$ ; confidence 0.795
+
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/s/s091/s091080/s09108054.png ; $\sum _ { n < x } f ( n ) = R ( x ) + O ( x ^ { \{ ( \alpha + 1 ) ( 2 \eta - 1 ) / ( 2 \eta + 1 ) \} + \epsilon } )$ ; confidence 0.795
+
283. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240505.png ; $Z _ { 12 } , Z _ { 13 }$ ; confidence 0.988
  
284. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001099.png ; $\delta b$ ; confidence 0.794
+
284. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a0101802.png ; $n \geq 5$ ; confidence 0.988
  
285. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a110220112.png ; $\int _ { H } f d m = \int _ { \Omega } R _ { 1 } f d P _ { 1 } = \int _ { \Omega } R _ { 2 } f d P _ { 2 }$ ; confidence 0.794
+
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/d/d031/d031830/d031830278.png ; $u \leq \theta u$ ; confidence 0.794
+
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/o/o068/o068190/o0681907.png ; $T ( t ) x$ ; confidence 0.794
+
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/q/q130/q130040/q13004026.png ; $J _ { f } ( x ) \leq K l ( f ^ { \prime } ( x ) ) ^ { n }$ ; confidence 0.794
+
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/r/r080/r080620/r08062044.png ; $X = \| x _ { i } \|$ ; confidence 0.794
+
289. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121022.png ; $v ( x )$ ; confidence 0.987
  
290. https://www.encyclopediaofmath.org/legacyimages/y/y120/y120010/y120010139.png ; $R : X \times X \rightarrow \operatorname { End } _ { k } ( V \otimes _ { k } V )$ ; confidence 0.794
+
290. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120528.png ; $x : f \rightarrow f ( x )$ ; confidence 0.987
  
291. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240474.png ; $X _ { 1 }$ ; confidence 0.793
+
291. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080900/r08090019.png ; $C _ { G } ( s )$ ; confidence 0.987
  
292. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240238.png ; $MS _ { e } = SS _ { e } / ( n - r )$ ; confidence 0.793
+
292. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010930/a0109303.png ; $\rho \frac { d V } { d t } = \rho g - \nabla p$ ; confidence 0.987
  
293. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014190/a01419047.png ; $t _ { + } < + \infty$ ; confidence 0.793
+
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/c/c130/c130070/c13007063.png ; $g = 0 \Rightarrow c$ ; confidence 0.793
+
294. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s130540110.png ; $K _ { 1 } R$ ; confidence 0.987
  
295. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047940/h04794088.png ; $e _ { i } : O ( \Delta _ { q - 1 } ) \rightarrow O ( \Delta _ { q } )$ ; confidence 0.793
+
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/a/a130/a130240/a130240310.png ; $\eta i$ ; confidence 0.793
+
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/g/g044/g044350/g044350116.png ; $V ( \Re ) > 2 ^ { n } d ( \Lambda )$ ; confidence 0.792
+
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/t/t093/t093890/t09389045.png ; $o ( N ) / N \rightarrow 0$ ; confidence 0.792
+
298. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600234.png ; $k _ { p }$ ; confidence 0.987
  
299. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028064.png ; $\chi ( G ) < \operatorname { girth } ( G )$ ; confidence 0.791
+
299. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027190/c0271904.png ; $( n = 2 )$ ; confidence 0.987
  
300. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120020/h1200207.png ; $\hat { \phi } ( j ) = \alpha$ ; confidence 0.791
+
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=43883