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(AUTOMATIC EDIT of page 11 out of 13 with 300 lines: Updated image/latex database (currently 3630 images latexified; order by Confidence, ascending: False.)
(AUTOMATIC EDIT of page 11 out of 14 with 300 lines: Updated image/latex database (currently 4097 images latexified; order by Confidence, ascending: False.)
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== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010080/a0100803.png ; $x$ ; confidence 0.475
+
1. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043340/g04334058.png ; $( \partial w / \partial t ) + ( \partial f / \partial x ) = ( h ^ { 2 } / 2 \tau ) ( \partial ^ { 2 } w / \partial x ^ { 2 } )$ ; confidence 0.582
  
2. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120030/k12003033.png ; $E \neq \emptyset$ ; confidence 0.475
+
2. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240169.png ; $\beta = 0$ ; confidence 0.582
  
3. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240470.png ; $n$ ; confidence 0.474
+
3. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001011.png ; $12$ ; confidence 0.581
  
4. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013048.png ; $i$ ; confidence 0.474
+
4. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066840/n06684017.png ; $\{ \psi _ { i } \} _ { 0 } ^ { m }$ ; confidence 0.581
  
5. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017380/b01738068.png ; $t \in S$ ; confidence 0.474
+
5. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040131.png ; $\tilde { \varphi } _ { L }$ ; confidence 0.580
  
6. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026480/c02648015.png ; $\prod _ { i \in l } ^ { * } A _ { i }$ ; confidence 0.474
+
6. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012069.png ; $f ( z ) \neq 0$ ; confidence 0.580
  
7. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059160/l059160231.png ; $\lambda \geq \gamma$ ; confidence 0.474
+
7. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010120.png ; $b _ { 2 } ( s ) \leq 1$ ; confidence 0.580
  
8. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240499.png ; $X _ { 4 } = ( 0,1 ) ^ { \prime }$ ; confidence 0.474
+
8. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016050/b01605010.png ; $b ( \theta ) \equiv 0$ ; confidence 0.580
  
9. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240343.png ; $2$ ; confidence 0.473
+
9. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120050/l12005018.png ; $f ( x ) = \operatorname { lim } _ { N \rightarrow \infty } \frac { 4 } { \pi ^ { 2 } } \int _ { 0 } ^ { N } \operatorname { cosh } ( \pi \tau ) \operatorname { Im } K _ { 1 / 2 + i \tau } ( x ) F ( \tau ) d \tau$ ; confidence 0.580
  
10. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110080/k1100801.png ; $W _ { C }$ ; confidence 0.473
+
10. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072430/p0724304.png ; $B \operatorname { ccos } ( \omega t + \psi )$ ; confidence 0.580
  
11. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059350/l059350157.png ; $x ( 0 ) \in R ^ { n }$ ; confidence 0.473
+
11. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026480/c02648027.png ; $\pi _ { i } : S \rightarrow A$ ; confidence 0.579
  
12. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064000/m064000100.png ; $\| u \| _ { H ^ { \prime } } \leq R$ ; confidence 0.473
+
12. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036840/e03684018.png ; $K ( B - C _ { N } ) > K ( B - A ) > D$ ; confidence 0.579
  
13. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018026.png ; $\lambda _ { x } = n$ ; confidence 0.473
+
13. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044400/g04440061.png ; $z$ ; confidence 0.578
  
14. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060150.png ; $P _ { V } ^ { \# } ( n )$ ; confidence 0.472
+
14. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086480/s0864803.png ; $E | X ( t ) | ^ { n } \leq C < \infty$ ; confidence 0.578
  
15. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120160/l12016033.png ; $( S ^ { 1 } )$ ; confidence 0.472
+
15. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087550/s08755019.png ; $\alpha < p b$ ; confidence 0.578
  
16. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091010/s09101020.png ; $c = \operatorname { const } \neq 0$ ; confidence 0.470
+
16. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027600/c0276008.png ; $- \infty < z < \infty$ ; confidence 0.577
  
17. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093670/t09367092.png ; $d s _ { é } = \frac { | d z | } { 1 + | z | ^ { 2 } }$ ; confidence 0.470
+
17. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024060.png ; $A _ { i }$ ; confidence 0.577
  
18. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110250/h11025012.png ; $T ^ { \aleph } x \in A$ ; confidence 0.469
+
18. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010430/a0104307.png ; $p _ { j } = P \{ \xi ( t + 1 ) = j | \xi ( t ) = i \}$ ; confidence 0.577
  
19. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021040.png ; $i \neq i$ ; confidence 0.468
+
19. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092810/t092810186.png ; $B s$ ; confidence 0.576
  
20. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010249.png ; $( A + \delta A ) \hat { x } = \hat { \lambda } \hat { x }$ ; confidence 0.467
+
20. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001070.png ; $\frac { \| \delta x \| } { \| x \| } \leq \frac { 2 \epsilon \| A ^ { - 1 } \| A \| } { 1 - \epsilon \| A ^ { - 1 } \| A \| }$ ; confidence 0.575
  
21. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014190/a01419058.png ; $\phi ( t ) \equiv$ ; confidence 0.467
+
21. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010247.png ; $x ^ { 1 } = \overline { x }$ ; confidence 0.575
  
22. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020073.png ; $9 -$ ; confidence 0.467
+
22. https://www.encyclopediaofmath.org/legacyimages/q/q110/q110030/q11003019.png ; $\alpha > a ^ { * }$ ; confidence 0.575
  
23. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027180/c027180181.png ; $E _ { x } ( s )$ ; confidence 0.467
+
23. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092800/t09280017.png ; $X _ { ( \tau _ { 1 } + \ldots + \tau _ { j - 1 } + 1 ) } = \ldots = X _ { ( \tau _ { 1 } + \ldots + \tau _ { j } ) }$ ; confidence 0.575
  
24. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068370/o06837017.png ; $( \alpha b ) \sigma = \alpha \sigma b \sigma$ ; confidence 0.467
+
24. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150622.png ; $( f _ { i } : B _ { i } \rightarrow B ) _ { i \in l }$ ; confidence 0.575
  
25. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010109.png ; $B N = \operatorname { max } _ { 1 \leq i \leq x } | b _ { i } |$ ; confidence 0.467
+
25. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002018.png ; $H : A \times I \rightarrow Z$ ; confidence 0.575
  
26. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017380/b01738057.png ; $L u = \frac { \partial ^ { 2 } u } { \partial x ^ { 2 } } - \frac { \partial u } { \partial t } = 0$ ; confidence 0.466
+
26. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004011.png ; $\phi _ { L } : A \rightarrow A$ ; confidence 0.574
  
27. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095290/u09529039.png ; $t \rightarrow t + w z$ ; confidence 0.466
+
27. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240107.png ; $i = 1 , \dots , n$ ; confidence 0.574
  
28. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020169.png ; $H \mapsto C _ { A } ^ { \prime }$ ; confidence 0.465
+
28. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001014.png ; $5$ ; confidence 0.574
  
29. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a13001015.png ; $S ^ { * } = S$ ; confidence 0.463
+
29. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110210/c11021043.png ; $T ( 0 ) = 0$ ; confidence 0.574
  
30. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082450/r0824503.png ; $( a + b ) \alpha = \alpha \alpha + b \alpha$ ; confidence 0.463
+
30. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021035.png ; $\phi _ { 1 } , \ldots , \phi _ { g }$ ; confidence 0.573
  
31. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097710/w09771010.png ; $Z _ { \zeta } ( T )$ ; confidence 0.463
+
31. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018044.png ; $\alpha = - 1 , - 2 , \ldots$ ; confidence 0.572
  
32. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013017.png ; $P$ ; confidence 0.462
+
32. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120320/b12032011.png ; $\| x + y \| _ { p } = \| u + v \| _ { p }$ ; confidence 0.572
  
33. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110590/b11059067.png ; $u = q ( x ) \text { on } g$ ; confidence 0.462
+
33. https://www.encyclopediaofmath.org/legacyimages/l/l061/l061200/l06120026.png ; $E ( T ) = \int \int _ { T } \frac { d x d y } { | x - y | }$ ; confidence 0.572
  
34. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024850/c024850182.png ; $m = p _ { 1 } ^ { \alpha _ { 1 } } \ldots p _ { s } ^ { \alpha _ { S } }$ ; confidence 0.462
+
34. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022077.png ; $z _ { 1 } , \ldots , z _ { p }$ ; confidence 0.572
  
35. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051970/i051970120.png ; $\omega _ { n - 1 } ( z ) = ( z - b _ { 0 } ) \ldots ( z - b _ { n } - 1 )$ ; confidence 0.462
+
35. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120030/a1200307.png ; $( - 1 ) ^ { n } f ^ { ( n ) } ( x ) \geq 0 \text { on } I$ ; confidence 0.571
  
36. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032070/d03207031.png ; $2 \pi \alpha$ ; confidence 0.461
+
36. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013066.png ; $5$ ; confidence 0.571
  
37. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057780/l057780185.png ; $\alpha _ { 2 } ( t ) = t$ ; confidence 0.461
+
37. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130040/w13004043.png ; $K = - ( \frac { 4 | d g | } { ( 1 + | g | ^ { 2 } ) ^ { 2 } | \eta | } \} ^ { 2 }$ ; confidence 0.571
  
38. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059490/l059490155.png ; $| \epsilon | < \epsilon$ ; confidence 0.461
+
38. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013059.png ; $i$ ; confidence 0.570
  
39. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a0102008.png ; $\square _ { R } \Omega$ ; confidence 0.460
+
39. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780302.png ; $( S _ { \omega } ^ { c } ( e ) T ) [ M ] \in Z$ ; confidence 0.570
  
40. https://www.encyclopediaofmath.org/legacyimages/p/p071/p071010/p07101037.png ; $p _ { i }$ ; confidence 0.459
+
40. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086190/s086190182.png ; $s \in E ^ { n }$ ; confidence 0.570
  
41. https://www.encyclopediaofmath.org/legacyimages/y/y110/y110010/y11001031.png ; $H _ { 1 } \subset L _ { N }$ ; confidence 0.459
+
41. https://www.encyclopediaofmath.org/legacyimages/v/v110/v110020/v11002046.png ; $x \in Y ( u )$ ; confidence 0.570
  
42. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021081.png ; $\omega ; 0$ ; confidence 0.458
+
42. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031990/d031990131.png ; $R _ { L } = H ( V )$ ; confidence 0.569
  
43. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013010.png ; $t = ( t _ { x } )$ ; confidence 0.458
+
43. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044730/g04473023.png ; $f _ { B } ( x ) = \frac { \lambda ^ { x } } { x ! } e ^ { - \lambda } \{ 1 + \frac { \mu _ { 2 } - \lambda } { \lambda ^ { 2 } } [ \frac { x ^ { [ 2 ] } } { 2 } - \lambda x ^ { [ 1 ] } + \frac { \lambda ^ { 2 } } { 2 } ] +$ ; confidence 0.569
  
44. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024029.png ; $1$ ; confidence 0.458
+
44. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057050/l057050165.png ; $a \rightarrow a b d ^ { 6 }$ ; confidence 0.569
  
45. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075660/p075660284.png ; $A : H ^ { S } ( X ) \rightarrow H ^ { S - m } ( X )$ ; confidence 0.458
+
45. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085250/s08525014.png ; $\sum _ { j = 1 } ^ { n } | b _ { j j } | \leq \rho$ ; confidence 0.569
  
46. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014310/a01431093.png ; $A ( \iota X A ( x ) )$ ; confidence 0.456
+
46. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130100/z130100102.png ; $\forall v \exists u ( \forall w \varphi \leftrightarrow u = w )$ ; confidence 0.569
  
47. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074530/p07453019.png ; $\phi ( n ) = n ( 1 - \frac { 1 } { p _ { 1 } } ) \dots ( 1 - \frac { 1 } { p _ { k } } )$ ; confidence 0.456
+
47. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010154.png ; $\| \delta x \| f \| x \|$ ; confidence 0.569
  
48. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050110.png ; $M$ ; confidence 0.455
+
48. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040158.png ; $f | c : C \rightarrow H$ ; confidence 0.568
  
49. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052450/i0524504.png ; $b = f ( a ) = b _ { 0 }$ ; confidence 0.455
+
49. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004012.png ; $\alpha \mapsto t _ { x } ^ { * } L \otimes L ^ { - 1 }$ ; confidence 0.568
  
50. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l12003069.png ; $T _ { F }$ ; confidence 0.455
+
50. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110540/a11054026.png ; $O ( n ^ { 2 } \operatorname { log } n )$ ; confidence 0.568
  
51. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002060.png ; $( q ^ { d + 1 } ( 1 + \frac { q ^ { d + 1 } - 1 } { q ^ { - 1 } } ) , q ^ { d } \cdot \frac { q ^ { d + 1 } - 1 } { q ^ { - 1 } } , q ^ { d } \cdot \frac { q ^ { d } - 1 } { q ^ { - 1 } } )$ ; confidence 0.455
+
51. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130230/a13023028.png ; $f _ { 1 } = ( P _ { n } \ldots P _ { 1 } ) ^ { 1 } f$ ; confidence 0.568
  
52. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021026.png ; $A _ { 1 } , B _ { 1 } , \dots , A , B _ { g }$ ; confidence 0.453
+
52. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063460/m063460182.png ; $z \in N$ ; confidence 0.568
  
53. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010204.png ; $I - ( \tilde { \lambda } I - A ) ^ { - 1 } \delta A$ ; confidence 0.452
+
53. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085360/s085360140.png ; $B d K$ ; confidence 0.567
  
54. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035170/e03517077.png ; $\overline { U _ { n } \in N A _ { n } ( B ) }$ ; confidence 0.452
+
54. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080620/r08062076.png ; $\beta$ ; confidence 0.566
  
55. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010197.png ; $1 \leq \| T ( \hat { \lambda } I - \Lambda ) ^ { - 1 } T ^ { - 1 } \delta A \| \leq$ ; confidence 0.451
+
55. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b0153901.png ; $( X , B X )$ ; confidence 0.566
  
56. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017330/b01733030.png ; $f ( e ^ { i \theta } ) = \operatorname { lim } _ { r \rightarrow 1 - 0 } f ( r e ^ { i \theta } )$ ; confidence 0.451
+
56. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040567.png ; $\Lambda _ { D } \operatorname { Th } m D$ ; confidence 0.565
  
57. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420133.png ; $i$ ; confidence 0.450
+
57. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054050/j054050109.png ; $dn ^ { 2 } u + k ^ { 2 } sn ^ { 2 } u = 1$ ; confidence 0.565
  
58. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012940/a01294080.png ; $F _ { b }$ ; confidence 0.450
+
58. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240481.png ; $n _ { 1 } + 1 , \ldots , n _ { 1 } + n _ { 2 }$ ; confidence 0.565
  
59. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085210/s08521029.png ; $q ^ { l } ( q ^ { 2 } - 1 ) \dots ( q ^ { 2 l } - 1 ) / d$ ; confidence 0.450
+
59. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018054.png ; $s = 1$ ; confidence 0.564
  
60. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025130/c0251306.png ; $f _ { i } : D ^ { n } \rightarrow M _ { i }$ ; confidence 0.449
+
60. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011980/a01198058.png ; $\{ f ( x ) \overline { \phi } _ { \lambda } ( x ) \}$ ; confidence 0.564
  
61. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o130060187.png ; $( \sigma _ { 2 } \frac { \partial } { \partial t _ { 1 } } - \sigma _ { 1 } \frac { \partial } { \partial t _ { 2 } } + \gamma ) u = 0$ ; confidence 0.449
+
61. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240280.png ; $\hat { \sigma } \hat { \psi } = \| d \| ( MS _ { e } ) ^ { 1 / 2 }$ ; confidence 0.563
  
62. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120310/c12031028.png ; $| \alpha | = \sum _ { l = 1 } ^ { d ^ { 2 } } \alpha _ { l }$ ; confidence 0.447
+
62. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040188.png ; $D$ ; confidence 0.563
  
63. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047540/h04754045.png ; $\Omega \frac { p } { x }$ ; confidence 0.447
+
63. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010277.png ; $C$ ; confidence 0.563
  
64. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090820/s0908209.png ; $X ^ { * }$ ; confidence 0.447
+
64. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210125.png ; $L ( a )$ ; confidence 0.563
  
65. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010136.png ; $p = ( p _ { 1 } , \dots , p _ { n } + 2 )$ ; confidence 0.447
+
65. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240393.png ; $\operatorname { tr } ( M _ { H } ( M _ { H } + M _ { E } ) ^ { - 1 } ) > c$ ; confidence 0.562
  
66. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240539.png ; $T _ { 1 }$ ; confidence 0.446
+
66. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010140.png ; $\geq 7$ ; confidence 0.562
  
67. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001062.png ; $i$ ; confidence 0.446
+
67. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012970/a012970129.png ; $S _ { 2 } ^ { \gamma }$ ; confidence 0.562
  
68. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017330/b017330242.png ; $f ^ { * } ( z ) = \operatorname { lim } _ { r \rightarrow 1 - 0 } f ( r z )$ ; confidence 0.445
+
68. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041060/f041060187.png ; $K _ { j } \times R ^ { N j }$ ; confidence 0.562
  
69. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180501.png ; $g \in S ^ { 2 } \varepsilon$ ; confidence 0.445
+
69. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055800/k05580079.png ; $( \partial ^ { 2 } / \partial x \partial t ) u = \operatorname { sin } u$ ; confidence 0.562
  
70. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040210/f04021064.png ; $\phi ( \mathfrak { A } )$ ; confidence 0.445
+
70. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020038.png ; $d _ { n } d _ { n + 1 } = 0 , n = 0 , \pm 1 , \pm 2 , \dots$ ; confidence 0.562
  
71. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086490/s086490118.png ; $d ^ { \prime }$ ; confidence 0.445
+
71. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002019.png ; $H _ { 0 }$ ; confidence 0.561
  
72. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027000/c02700011.png ; $\frac { F _ { n } ( - x ) } { \Phi ( - x ) } = \operatorname { exp } \{ - \frac { x ^ { 3 } } { \sqrt { n } } \lambda ( - \frac { x } { \sqrt { n } } ) \} [ 1 + O ( \frac { x } { \sqrt { n } } ) ]$ ; confidence 0.444
+
72. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026040/c02604025.png ; $A _ { n } : E _ { n } \rightarrow F _ { n }$ ; confidence 0.561
  
73. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240229.png ; $\zeta _ { q } + 1 , \dots , \zeta _ { r }$ ; confidence 0.443
+
73. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032130/d032130227.png ; $\int _ { S } \omega$ ; confidence 0.561
  
74. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020023.png ; $\alpha _ { i } \in R$ ; confidence 0.443
+
74. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110420/b11042014.png ; $( Id - \Delta ) ^ { \nu }$ ; confidence 0.560
  
75. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020540/c020540105.png ; $s _ { m } = r - s - \operatorname { rank } M _ { m } - 1$ ; confidence 0.443
+
75. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016050/b0160507.png ; $E _ { \theta } \{ T \}$ ; confidence 0.560
  
76. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780129.png ; $\Omega _ { f r } ^ { i }$ ; confidence 0.443
+
76. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900232.png ; $III _ { 0 }$ ; confidence 0.560
  
77. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025180/c02518080.png ; $f _ { x } ^ { - 1 }$ ; confidence 0.443
+
77. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240337.png ; $1$ ; confidence 0.560
  
78. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q07631095.png ; $\left( \begin{array} { l } { n } \\ { k } \end{array} \right) _ { q } = \frac { ( q ^ { n } - 1 ) \ldots ( q ^ { n - k + 1 } - 1 ) } { ( q ^ { k } - 1 ) \ldots ( q - 1 ) }$ ; confidence 0.443
+
78. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a1100202.png ; $v$ ; confidence 0.560
  
79. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130290/a13029066.png ; $Y$ ; confidence 0.441
+
79. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040509.png ; $\Delta$ ; confidence 0.559
  
80. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001037.png ; $\| \delta b \| \leq \epsilon \| b \|$ ; confidence 0.440
+
80. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a12031081.png ; $\{ z \in A : z \alpha = \alpha z \text { for each } \alpha \in A \}$ ; confidence 0.559
  
81. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082560/r08256041.png ; $300$ ; confidence 0.440
+
81. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063060/m06306029.png ; $x _ { i + 1 } = x _ { i } - ( \alpha _ { i } \nabla \nabla f ( x _ { j } ) + \beta _ { i } I ) ^ { - 1 } \nabla f ( x _ { i } )$ ; confidence 0.559
  
82. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085580/s085580244.png ; $M = \frac { a } { a ^ { 2 } - b ^ { 2 } } I - \frac { b } { a ^ { 2 } - b ^ { 2 } } S$ ; confidence 0.440
+
82. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120030/t12003042.png ; $\psi = \Psi ^ { \prime }$ ; confidence 0.559
  
83. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130150/t13015070.png ; $C ^ { * } E ( S ) \otimes _ { \delta } C _ { 0 } ( S )$ ; confidence 0.440
+
83. https://www.encyclopediaofmath.org/legacyimages/t/t110/t110020/t11002049.png ; $e ^ { \prime }$ ; confidence 0.559
  
84. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022081.png ; $\alpha _ { j k } = \alpha _ { k l }$ ; confidence 0.439
+
84. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029032.png ; $A ^ { \prime \prime }$ ; confidence 0.559
  
85. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021057.png ; $( \frac { a - x } { z ^ { x } } + \ldots + \frac { a - 2 } { z ^ { 2 } } + f ( z ) ) d z$ ; confidence 0.439
+
85. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036230/e036230124.png ; $k \geq n - i t$ ; confidence 0.558
  
86. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210107.png ; $k , b + k$ ; confidence 0.439
+
86. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041000/f0410005.png ; $J _ { \nu }$ ; confidence 0.556
  
87. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015069.png ; $\mathfrak { a } / W$ ; confidence 0.438
+
87. https://www.encyclopediaofmath.org/legacyimages/i/i053/i053020/i05302031.png ; $\kappa _ { k } = a _ { n n } ^ { ( k ) }$ ; confidence 0.556
  
88. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f13010016.png ; $u \in C ^ { G }$ ; confidence 0.438
+
88. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040116.png ; $( E _ { 1 } , E _ { 2 } ) = 1$ ; confidence 0.555
  
89. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097350/w0973509.png ; $A = N \oplus S _ { 1 }$ ; confidence 0.438
+
89. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023550/c023550175.png ; $X = 0$ ; confidence 0.554
  
90. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680195.png ; $b _ { i } = \alpha _ { i } \alpha _ { 1 }$ ; confidence 0.437
+
90. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i13005074.png ; $| r _ { + } ( k ) | \leq 1 - c k ^ { 2 } ( 1 + k ^ { 2 } ) ^ { - 1 }$ ; confidence 0.554
  
91. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021620/c02162068.png ; $\pi _ { \mathscr { q } } ( F )$ ; confidence 0.437
+
91. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120100/l120100122.png ; $R ^ { n } \times R ^ { n }$ ; confidence 0.554
  
92. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042030/f04203082.png ; $T _ { \rightarrow } V ^ { - 1 } T V$ ; confidence 0.437
+
92. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120280/s12028015.png ; $\overline { E } * ( X )$ ; confidence 0.554
  
93. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001094.png ; $\overline { X } \rightarrow X$ ; confidence 0.437
+
93. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a1100203.png ; $D \subset G$ ; confidence 0.553
  
94. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024030.png ; $n \times p$ ; confidence 0.435
+
94. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022570/c0225702.png ; $x _ { n } \in D _ { A }$ ; confidence 0.553
  
95. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110080/d11008067.png ; $= d ( w ^ { H _ { i } } | v ^ { H _ { i } } ) \cdot e ( w ^ { H _ { i } } | v ^ { H _ { i } } ) . f ( w ^ { H _ { i } } | v ^ { H _ { i } } )$ ; confidence 0.435
+
95. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022860/c02286015.png ; $b _ { i + 1 } \ldots b _ { j }$ ; confidence 0.553
  
96. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110050/h1100503.png ; $\alpha _ { 1 } \ldots \alpha _ { m }$ ; confidence 0.435
+
96. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090230/s09023035.png ; $\overline { w }$ ; confidence 0.553
  
97. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013098.png ; $\pi$ ; confidence 0.434
+
97. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010220.png ; $\lambda _ { j }$ ; confidence 0.553
  
98. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i13009013.png ; $k = k _ { 0 } \subset k _ { 1 } \subset \ldots \subset k _ { n } \subset \ldots \subset K = \cup _ { n \geq 0 } k _ { k }$ ; confidence 0.434
+
98. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010176.png ; $A ^ { + \text { new } } = B - \delta A ^ { + }$ ; confidence 0.552
  
99. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018040.png ; $s = s 1$ ; confidence 0.434
+
99. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012031.png ; $\Lambda _ { a }$ ; confidence 0.552
  
100. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017620/b0176209.png ; $P _ { C } ^ { 1 }$ ; confidence 0.433
+
100. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130020/i13002074.png ; $+ \frac { n } { p _ { 1 } p _ { 2 } } + \ldots + \frac { n } { p _ { k - 1 } p _ { k } } + - \frac { n } { p _ { 1 } p _ { 2 } p _ { 3 } } - \ldots + ( - 1 ) ^ { k } \frac { n } { p _ { 1 } \ldots p _ { k } }$ ; confidence 0.552
  
101. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120030/q12003027.png ; $X ( Y . f ) = ( Y X ) . f$ ; confidence 0.433
+
101. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021051.png ; $( \frac { a - x } { z ^ { x } } + \ldots + \frac { a - 1 } { z } + f ( z ) ) d z$ ; confidence 0.552
  
102. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072850/p072850130.png ; $X \subset M ^ { n }$ ; confidence 0.432
+
102. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010144.png ; $\frac { \| ( A + \delta A ) ^ { + } - A ^ { + } \| } { \| ( A + \delta A ) ^ { + } \| _ { 2 } } \leq \mu \| A ^ { + } \| _ { 2 } \| \delta A _ { 2 }$ ; confidence 0.551
  
103. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073840/p0738407.png ; $A \supset B$ ; confidence 0.432
+
103. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062390/m0623907.png ; $P \{ \xi ( 0 ) = j \} = p _ { j }$ ; confidence 0.551
  
104. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077370/r07737019.png ; $P \{ Z _ { n } < x \} - \Phi ( x ) = O ( \frac { 1 } { n } )$ ; confidence 0.432
+
104. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110010/r110010273.png ; $e _ { 3 } = ( \alpha + d ) + ( b + c )$ ; confidence 0.551
  
105. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022026.png ; $L ^ { Y } ( X , Y )$ ; confidence 0.431
+
105. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010430/a01043019.png ; $t T \infty$ ; confidence 0.551
  
106. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a1202206.png ; $\varepsilon \in X$ ; confidence 0.430
+
106. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240182.png ; $H _ { A }$ ; confidence 0.550
  
107. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035800/e0358008.png ; $\nu ( n ) = \alpha$ ; confidence 0.430
+
107. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013085.png ; $L$ ; confidence 0.550
  
108. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082560/r08256016.png ; $1$ ; confidence 0.430
+
108. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240204.png ; $74$ ; confidence 0.550
  
109. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013025.png ; $C ^ { \infty } ( s ^ { 1 } , SL _ { 2 } ( C ) )$ ; confidence 0.430
+
109. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539023.png ; $P _ { \theta } ( d x ) = p ( x | \theta ) d \mu ( x )$ ; confidence 0.550
  
110. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033530/d03353095.png ; $\psi ( x ) = x - \sum _ { | \gamma | \leq T } \frac { x ^ { \rho } } { \rho } + O ( \frac { X } { T } \operatorname { log } ^ { 2 } x T + \operatorname { log } 2 x )$ ; confidence 0.429
+
110. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520303.png ; $A \simeq K$ ; confidence 0.550
  
111. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110130/b110130207.png ; $\left( \begin{array} { c } { y - p } \\ { \vdots } \\ { y - 1 } \\ { y _ { 0 } } \end{array} \right) = \Gamma ^ { - 1 } \left( \begin{array} { c } { 0 } \\ { \vdots } \\ { 0 } \\ { 1 } \end{array} \right)$ ; confidence 0.427
+
111. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022027.png ; $u _ { 1 } , \dots , u _ { p }$ ; confidence 0.550
  
112. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097450/w09745010.png ; $= \frac { 1 } { z ^ { 2 } } + c 2 z ^ { 2 } + c _ { 4 } z ^ { 4 } + \ldots$ ; confidence 0.426
+
112. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044340/g044340228.png ; $\xi \in ( \nu F ^ { m } ) _ { p }$ ; confidence 0.549
  
113. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010840/a01084029.png ; $l \mapsto ( . l )$ ; confidence 0.425
+
113. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059110/l059110158.png ; $f _ { h } \in F _ { k }$ ; confidence 0.549
  
114. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120230/a12023068.png ; $c _ { q }$ ; confidence 0.425
+
114. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010420/a0104208.png ; $c = E ( Y _ { 1 } )$ ; confidence 0.549
  
115. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091200/s09120056.png ; $\operatorname { psq } ( n ) = \operatorname { sq } ( n ) / \{ c E : c \in C \}$ ; confidence 0.425
+
115. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240371.png ; $Z _ { 1 } M _ { E } ^ { - 1 } Z _ { 1 } ^ { \prime }$ ; confidence 0.548
  
116. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012330/a01233050.png ; $x <$ ; confidence 0.424
+
116. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240332.png ; $Z = Y X$ ; confidence 0.548
  
117. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024850/c024850206.png ; $f ^ { \prime } ( x _ { 1 } ) \equiv 0$ ; confidence 0.424
+
117. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012044.png ; $S _ { 1 } = W _ { 1 }$ ; confidence 0.547
  
118. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240449.png ; $y _ { 1 } , \dots , y _ { j }$ ; confidence 0.424
+
118. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080610/r08061050.png ; $E ( Y - f ( x ) ) ^ { 2 }$ ; confidence 0.547
  
119. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130100/c13010015.png ; $f = \sum _ { i = 1 } ^ { n } \alpha _ { i } \chi _ { i }$ ; confidence 0.422
+
119. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022080.png ; $j , k = 1 , \dots , p$ ; confidence 0.546
  
120. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070240/o07024014.png ; $6 \pi \eta \alpha$ ; confidence 0.422
+
120. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052940/i05294012.png ; $Y \times t$ ; confidence 0.546
  
121. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110100/b110100377.png ; $\frac { c _ { 1 } } { n } \leq ( | K | | K ^ { \circlearrowright } | ) ^ { 1 / n } \leq \frac { c _ { 2 } } { n }$ ; confidence 0.421
+
121. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240252.png ; $F > F _ { \alpha ; q , n - \gamma }$ ; confidence 0.546
  
122. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m130260171.png ; $\overline { \alpha } : P \rightarrow X$ ; confidence 0.421
+
122. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110520/b1105203.png ; $\sum _ { n = 1 } ^ { \infty } l _ { k } ^ { 2 } \operatorname { exp } ( l _ { 1 } + \ldots + l _ { n } ) = \infty$ ; confidence 0.545
  
123. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010267.png ; $\hat { \lambda } = \lambda + \epsilon ^ { 1 / m } \lambda _ { 1 } + \epsilon ^ { 2 / m } \lambda _ { 2 } +$ ; confidence 0.420
+
123. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063100/m06310035.png ; $\hat { \theta } = X$ ; confidence 0.545
  
124. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539034.png ; $\operatorname { inf } _ { d } \int _ { \Theta } L ( \theta , d ) \frac { p ( x | \theta ) \pi ( \theta ) } { p ( x ) } d \nu ( \theta )$ ; confidence 0.420
+
124. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a13001014.png ; $R el$ ; confidence 0.544
  
125. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020064.png ; $T : \mathfrak { A } \rightarrow \mathfrak { A } / \mathfrak { A } _ { 1 }$ ; confidence 0.420
+
125. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022500/c02250014.png ; $j \leq n$ ; confidence 0.544
  
126. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018018.png ; $Z 1,22$ ; confidence 0.419
+
126. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095630/u09563071.png ; $U : B \rightarrow A$ ; confidence 0.544
  
127. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016740/b0167404.png ; $\leq \frac { 1 } { N } \langle U _ { 1 } - U _ { 2 } \} _ { U _ { 2 } }$ ; confidence 0.419
+
127. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r13008048.png ; $\{ \phi j ( z ) \}$ ; confidence 0.543
  
128. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075700/p075700100.png ; $q ^ { 1 }$ ; confidence 0.419
+
128. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040602.png ; $S _ { P }$ ; confidence 0.543
  
129. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018063.png ; $S _ { 1 } , \ldots , S _ { k }$ ; confidence 0.418
+
129. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024073.png ; $n = I K$ ; confidence 0.542
  
130. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010224.png ; $E _ { i } = x ^ { i } y ^ { i }$ ; confidence 0.418
+
130. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022570/c0225705.png ; $x \in D _ { A }$ ; confidence 0.542
  
131. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001019.png ; $( C ( S ) , \overline { g } )$ ; confidence 0.418
+
131. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080610/r08061012.png ; $E ( Y | x ) = m ( x )$ ; confidence 0.542
  
132. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f130290181.png ; $LOC$ ; confidence 0.417
+
132. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091140/s09114030.png ; $\sum _ { k = 0 } ^ { \infty } \lambda _ { k } u _ { k }$ ; confidence 0.542
  
133. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013053.png ; $P ^ { ( l ) } = \left( \begin{array} { c c } { - i } & { 0 } \\ { 0 } & { i } \end{array} \right) z + \left( \begin{array} { c c } { 0 } & { q ^ { ( l ) } } \\ { r ^ { ( l ) } } & { 0 } \end{array} \right)$ ; confidence 0.416
+
133. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a1100405.png ; $p _ { g } = h ^ { 2 } ( A , O _ { A } ) = 1$ ; confidence 0.542
  
134. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043280/g0432806.png ; $\mathfrak { x } \times x$ ; confidence 0.416
+
134. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010121.png ; $S = SU ( m ) / S ( U ( m - 2 ) \times U ( 1 ) )$ ; confidence 0.541
  
135. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067280/n06728058.png ; $\pi / \rho$ ; confidence 0.416
+
135. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700139.png ; $\kappa ^ { \prime } \cong \kappa \otimes O \Lambda$ ; confidence 0.541
  
136. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015047.png ; $\operatorname { ad } X$ ; confidence 0.415
+
136. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072710/p072710140.png ; $\sigma A = x ^ { * } \partial \sigma ^ { * } \operatorname { lk } _ { A } \sigma + A _ { 1 }$ ; confidence 0.541
  
137. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110520/b11052027.png ; $x \in G _ { n }$ ; confidence 0.415
+
137. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077630/r07763050.png ; $\delta _ { \phi }$ ; confidence 0.541
  
138. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240152.png ; $X \beta$ ; confidence 0.414
+
138. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420164.png ; $C ( S ^ { 2 n } )$ ; confidence 0.540
  
139. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006029.png ; $B _ { j } \in B$ ; confidence 0.414
+
139. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067850/n067850111.png ; $u \in E ^ { \prime } \otimes - E$ ; confidence 0.540
  
140. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025180/c02518044.png ; $X _ { X } \in T _ { X } ( M )$ ; confidence 0.414
+
140. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021078.png ; $j = 1 , \ldots , n$ ; confidence 0.539
  
141. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110120/p110120247.png ; $A _ { i } = \{ w \in W _ { i } \cap V ^ { s } ( z ) : z \in \Lambda _ { l } \cap U ( x ) \}$ ; confidence 0.414
+
141. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024062.png ; $B i$ ; confidence 0.539
  
142. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022890/c02289075.png ; $l _ { i } ( P ) \leq l _ { i } < l _ { i } ( P ) + 1$ ; confidence 0.413
+
142. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048330/h04833033.png ; $E _ { X } ^ { N }$ ; confidence 0.539
  
143. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110210/m11021064.png ; $f \in L ^ { p } ( R ^ { n } ) \rightarrow \int _ { R ^ { n } } | x - y | ^ { - \lambda } f ( y ) d y \in L ^ { p ^ { \prime } } ( R ^ { n } )$ ; confidence 0.413
+
143. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010115.png ; $h _ { i i } = r _ { i } / ( | A | | x | + | b | ) _ { i }$ ; confidence 0.539
  
144. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130050/o13005095.png ; $v \in G$ ; confidence 0.413
+
144. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040485.png ; $\Phi$ ; confidence 0.539
  
145. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120050/w12005030.png ; $D = \langle x ^ { 2 } \} \subset R [ x ]$ ; confidence 0.413
+
145. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010117.png ; $D$ ; confidence 0.538
  
146. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f130100152.png ; $v \in A _ { p } ( G )$ ; confidence 0.412
+
146. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450195.png ; $C / \Omega$ ; confidence 0.538
  
147. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046370/h04637024.png ; $M ( x ) = M _ { f } ( x ) = \operatorname { sup } _ { 0 < k | \leq \pi } \frac { 1 } { t } \int _ { x } ^ { x + t } | f ( u ) | d u$ ; confidence 0.412
+
147. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027600/c02760032.png ; $( u = const )$ ; confidence 0.538
  
148. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021030.png ; $A _ { j } = \int _ { a _ { j } } \omega , \quad B _ { j } = \int _ { b _ { j } } \omega , \quad j = 1 , \ldots , g$ ; confidence 0.412
+
148. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067110/n06711026.png ; $\| z ^ { n } \| \leq q ^ { n } ( 1 - q ) ^ { - 1 } \| u ^ { 0 } - u ^ { 1 } \|$ ; confidence 0.538
  
149. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g043810261.png ; $\delta ( x ) = \delta ( x _ { 1 } ) \times \ldots \times \delta ( x _ { N } )$ ; confidence 0.411
+
149. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240482.png ; $n = \sum n$ ; confidence 0.537
  
150. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038470/f03847049.png ; $\tau _ { k + 1 } = t$ ; confidence 0.410
+
150. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110080/a1100802.png ; $u = u ( x , y , t ) = e ^ { i ( \omega t + \xi x + \eta y ) }$ ; confidence 0.537
  
151. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130080/o13008026.png ; $C _ { \psi }$ ; confidence 0.409
+
151. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021570/c02157034.png ; $\pi _ { 0 }$ ; confidence 0.537
  
152. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120310/b12031064.png ; $\tau ^ { n }$ ; confidence 0.408
+
152. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055580/k055580126.png ; $\hat { M } _ { 0 }$ ; confidence 0.537
  
153. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012410/a012410141.png ; $R ^ { n } \subset C ^ { k }$ ; confidence 0.407
+
153. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062070/m06207013.png ; $H _ { 2 } \times H _ { 1 }$ ; confidence 0.537
  
154. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020640/c02064012.png ; $\mu = \beta \nu$ ; confidence 0.406
+
154. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076830/q07683079.png ; $\rho = E m \alpha \tau _ { j } ^ { e }$ ; confidence 0.537
  
155. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072850/p072850150.png ; $\Omega _ { X } ( k ) \equiv \Omega ( k )$ ; confidence 0.406
+
155. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022030.png ; $z _ { j } = \int _ { c _ { 1 } } ^ { x _ { 1 } } d u _ { j } + \ldots + \int _ { c _ { p } } ^ { x _ { p } } d u _ { j } , \quad j = 1 , \ldots , p$ ; confidence 0.537
  
156. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010213.png ; $\delta \lambda _ { i } \approx \frac { y ^ { i } ^ { * } \delta A x ^ { i } } { y ^ { i ^ { * } } x ^ { i } }$ ; confidence 0.406
+
156. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012078.png ; $\{ \nu _ { k } \}$ ; confidence 0.536
  
157. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043480/g0434807.png ; $\alpha _ { 31 } / \alpha _ { 11 }$ ; confidence 0.405
+
157. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b130300113.png ; $A$ ; confidence 0.535
  
158. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110140/l11014014.png ; $\tilde { y } ( x ) = \operatorname { exp } ( - \epsilon ) f ( x \operatorname { exp } ( - \epsilon ) )$ ; confidence 0.405
+
158. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006089.png ; $m B$ ; confidence 0.535
  
159. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340135.png ; $\alpha _ { H } ( \tilde { x } _ { + } ) - \alpha _ { H } ( \tilde { x } _ { - } ) = 1$ ; confidence 0.404
+
159. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072430/p07243078.png ; $| V _ { m n } | \ll | E _ { n } ^ { ( 0 ) } - E _ { m } ^ { ( 0 ) } |$ ; confidence 0.535
  
160. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240452.png ; $P$ ; confidence 0.403
+
160. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240285.png ; $\psi \in L$ ; confidence 0.533
  
161. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020740/c020740324.png ; $( \alpha _ { e } ) _ { é \in E }$ ; confidence 0.403
+
161. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015310/b01531023.png ; $X _ { s } = X \times s s$ ; confidence 0.533
  
162. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025180/c02518096.png ; $T _ { s ( x ) } ( E ) = \Delta _ { s ( x ) } \oplus T _ { s ( x ) } ( F _ { x } )$ ; confidence 0.402
+
162. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072930/p072930169.png ; $t _ { \gamma }$ ; confidence 0.533
  
163. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002050.png ; $21$ ; confidence 0.401
+
163. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a0101208.png ; $P _ { N } ( z )$ ; confidence 0.533
  
164. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013036.png ; $\partial / \partial x = \partial / \partial t _ { 1 }$ ; confidence 0.401
+
164. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018015.png ; $\tau \in V o c$ ; confidence 0.532
  
165. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052260/i05226072.png ; $Z \in G$ ; confidence 0.401
+
165. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120110/m12011020.png ; $t ( h ) = T ( h ) \cup \partial T ( k ) \partial F \times D ^ { 2 }$ ; confidence 0.532
  
166. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072830/p07283021.png ; $\epsilon _ { i j } ^ { k }$ ; confidence 0.400
+
166. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065510/m06551020.png ; $n _ { \Delta } = 1$ ; confidence 0.532
  
167. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018031.png ; $A _ { x } = \alpha _ { 1 } + \ldots + \alpha _ { x }$ ; confidence 0.399
+
167. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300105.png ; $4$ ; confidence 0.531
  
168. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060090/l060090100.png ; $\operatorname { dim } Z \cap \overline { S _ { k + q + 1 } } ( F | _ { X \backslash Z } ) \leq k$ ; confidence 0.399
+
168. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032450/d032450371.png ; $\{ fd ( M )$ ; confidence 0.531
  
169. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052150/i0521507.png ; $\forall x ( P ( x ) \vee \neg P ( x ) ) \wedge \neg \neg \neg x P ( x ) \supset \exists x P ( x )$ ; confidence 0.397
+
169. https://www.encyclopediaofmath.org/legacyimages/s/s110/s110040/s110040107.png ; $\phi ( D _ { X } ) = D _ { X }$ ; confidence 0.531
  
170. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042079.png ; $25$ ; confidence 0.396
+
170. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012010.png ; $\lambda _ { x } = a + n h$ ; confidence 0.530
  
171. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022033.png ; $5$ ; confidence 0.396
+
171. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006034.png ; $\{ X _ { i } : u \in I \}$ ; confidence 0.529
  
172. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120500/b12050014.png ; $M _ { t } : = \operatorname { sup } _ { s \leq t } W _ { s }$ ; confidence 0.396
+
172. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026010/c026010468.png ; $P s$ ; confidence 0.529
  
173. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081560/r081560116.png ; $R _ { V } = \frac { 1 } { ( 2 \pi i ) ^ { n } } \int _ { \sigma _ { V } } f ( z ) d z$ ; confidence 0.396
+
173. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001064.png ; $\rho ( | A ^ { - 1 } \delta A | ) < 1$ ; confidence 0.528
  
174. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021070.png ; $P _ { 2 }$ ; confidence 0.396
+
174. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006024.png ; $\{ A _ { 1 } , \dots , A _ { l } \}$ ; confidence 0.527
  
175. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027180/c02718064.png ; $H ( K )$ ; confidence 0.395
+
175. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025450/c02545035.png ; $T ^ { * }$ ; confidence 0.527
  
176. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030020/d030020144.png ; $\operatorname { gr } D _ { X }$ ; confidence 0.395
+
176. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240329.png ; $x$ ; confidence 0.527
  
177. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110080/e11008028.png ; $P _ { n } ( f ) = \int _ { S } f d P _ { n } = \frac { 1 } { n } \sum _ { i = 1 } ^ { n } f ( X _ { i } )$ ; confidence 0.394
+
177. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110010/c1100106.png ; $T : A _ { j } \rightarrow A$ ; confidence 0.526
  
178. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093570/t0935701.png ; $x = \pm \alpha \operatorname { ln } \frac { \alpha + \sqrt { \alpha ^ { 2 } - y ^ { 2 } } } { y } - \sqrt { \alpha ^ { 2 } - y ^ { 2 } }$ ; confidence 0.391
+
178. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120090/m12009011.png ; $- i \partial / \partial x _ { j }$ ; confidence 0.526
  
179. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010194.png ; $\hat { \lambda } I - A - \delta A = ( \hat { \lambda } I - A ) [ I - ( \hat { \lambda } I - A ) ^ { - 1 } \delta A$ ; confidence 0.391
+
179. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021092.png ; $w _ { 3 }$ ; confidence 0.525
  
180. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001086.png ; $\| \delta x \| = \| A ^ { - 1 } B ^ { - 1 } B N \| =$ ; confidence 0.390
+
180. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027570/c02757085.png ; $z$ ; confidence 0.525
  
181. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001061.png ; $| \delta b | \leq \epsilon | b |$ ; confidence 0.389
+
181. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120080/t12008049.png ; $( 5 \times 10 ^ { 6 } r ) ^ { 3 }$ ; confidence 0.525
  
182. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780377.png ; $1 B S G$ ; confidence 0.389
+
182. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650148.png ; $\therefore M \rightarrow E$ ; confidence 0.524
  
183. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240508.png ; $E ( Z _ { 13 } ) = 0$ ; confidence 0.388
+
183. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120150/l12015025.png ; $w \in T V$ ; confidence 0.524
  
184. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032330/d03233041.png ; $r : h \rightarrow f ( x _ { 0 } + h ) - f ( x _ { 0 } ) - h _ { 0 } ( h )$ ; confidence 0.388
+
184. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a1100109.png ; $\overline { X } - X$ ; confidence 0.524
  
185. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110640/a1106409.png ; $S U N$ ; confidence 0.385
+
185. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830290.png ; $A = \sum _ { i = 0 } ^ { d } A _ { i } u _ { A } ^ { i }$ ; confidence 0.523
  
186. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130040/t13004015.png ; $( n + 1 ) a _ { n + 1 } + \alpha _ { n } = \tau$ ; confidence 0.385
+
186. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065500/m06550014.png ; $P ( \mathfrak { m } / \mathfrak { m } ^ { 2 } )$ ; confidence 0.523
  
187. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024066.png ; $y _ { i j k } = \mu + \alpha _ { i } + \beta _ { j } + \gamma _ { i j } + e _ { j k }$ ; confidence 0.384
+
187. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021069.png ; $( - 1 / z ) d z$ ; confidence 0.522
  
188. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110990/b11099015.png ; $P _ { \alpha }$ ; confidence 0.384
+
188. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017010/b01701014.png ; $\alpha _ { k } = a _ { k k } - v _ { k } A _ { k - 1 } ^ { - 1 } u _ { k }$ ; confidence 0.522
  
189. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041320/f04132023.png ; $v _ { 0 } ^ { k }$ ; confidence 0.384
+
189. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130160/r13016036.png ; $R ^ { \infty } \rightarrow \ldots \rightarrow R ^ { m } \rightarrow \ldots \rightarrow R ^ { 0 }$ ; confidence 0.522
  
190. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120280/c1202805.png ; $X *$ ; confidence 0.383
+
190. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012055.png ; $\{ n _ { k } \}$ ; confidence 0.521
  
191. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010020/a0100204.png ; $\{ E _ { n _ { 1 } } \ldots n _ { k } \}$ ; confidence 0.382
+
191. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001080.png ; $| v |$ ; confidence 0.521
  
192. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013023.png ; $= \operatorname { exp } ( x P _ { 0 } z + \sum _ { r = 1 } ^ { \infty } Q _ { 0 } z ^ { r } ) g ( z ) . . \operatorname { exp } ( - x P _ { 0 } z - \sum _ { r = 1 } ^ { \infty } Q _ { 0 } z ^ { \gamma } )$ ; confidence 0.382
+
192. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096350/v09635084.png ; $a \perp b$ ; confidence 0.521
  
193. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050970/i05097047.png ; $F ( M ^ { k } ) \subset \nabla \square ^ { n }$ ; confidence 0.382
+
193. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097350/w0973508.png ; $A = N \oplus s$ ; confidence 0.521
  
194. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010222.png ; $E$ ; confidence 0.382
+
194. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120240/f1202409.png ; $t \mapsto t + T$ ; confidence 0.520
  
195. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010196.png ; $( \hat { \lambda } I - A ) ^ { - 1 } = T ( \hat { \lambda } I - \Lambda ) ^ { - 1 } T ^ { - 1 }$ ; confidence 0.382
+
195. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062490/m06249054.png ; $F _ { \infty } ^ { s }$ ; confidence 0.520
  
196. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025920/c02592019.png ; $631$ ; confidence 0.381
+
196. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130220/m13022071.png ; $T$ ; confidence 0.520
  
197. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021055.png ; $a - 1$ ; confidence 0.380
+
197. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074970/p074970164.png ; $E X _ { k } = a$ ; confidence 0.520
  
198. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a1301307.png ; $Q$ ; confidence 0.380
+
198. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240418.png ; $n ^ { - 1 } M _ { E }$ ; confidence 0.519
  
199. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087780/s08778021.png ; $w ^ { \prime }$ ; confidence 0.380
+
199. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035160/e03516059.png ; $\frac { \partial } { \partial x } ( k _ { 1 } \frac { \partial u } { \partial x } ) + \frac { \partial } { \partial y } ( k _ { 2 } \frac { \partial u } { \partial y } ) + \lambda n = 0$ ; confidence 0.519
  
200. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020088.png ; $\phi \gamma$ ; confidence 0.380
+
200. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044650/g04465025.png ; $a _ { y }$ ; confidence 0.519
  
201. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010108.png ; $Sp ( 0 )$ ; confidence 0.378
+
201. https://www.encyclopediaofmath.org/legacyimages/k/k056/k056010/k056010160.png ; $R ^ { k } p \times ( F )$ ; confidence 0.519
  
202. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096350/v09635060.png ; $\left. \begin{array} { l l l } { \alpha _ { 1 } } & { \alpha _ { 2 } } & { \alpha _ { 3 } } \\ { b _ { 1 } } & { b _ { 2 } } & { b _ { 3 } } \\ { c _ { 1 } } & { c _ { 2 } } & { c _ { 3 } } \end{array} \right| = 0$ ; confidence 0.378
+
202. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420119.png ; $x \in H ^ { + }$ ; confidence 0.518
  
203. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240236.png ; $n - r$ ; confidence 0.377
+
203. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082290/r082290200.png ; $p _ { \alpha } = e$ ; confidence 0.518
  
204. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015019.png ; $( g )$ ; confidence 0.376
+
204. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015440/b0154406.png ; $E X _ { 2 j } = \mu _ { 2 }$ ; confidence 0.517
  
205. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010246.png ; $( A - \hat { \lambda } I ) x ^ { ( i + 1 ) } = x ^ { ( i ) } , \quad i = 1 , \ldots , n$ ; confidence 0.376
+
205. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002042.png ; $( \frac { q ^ { d + 1 } - 1 } { q ^ { - 1 } } , \frac { q ^ { d } - 1 } { q ^ { - 1 } } , \frac { q ^ { d - 1 } - 1 } { q ^ { - 1 } } )$ ; confidence 0.517
  
206. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110120/p110120321.png ; $4 x$ ; confidence 0.375
+
206. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a0102407.png ; $j = 0 , \dots , n$ ; confidence 0.517
  
207. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a1301305.png ; $P = P _ { 0 } z + P _ { 1 } : = \left( \begin{array} { c c } { - i } & { 0 } \\ { 0 } & { i } \end{array} \right) z + \left( \begin{array} { l l } { 0 } & { q } \\ { r } & { 0 } \end{array} \right)$ ; confidence 0.374
+
207. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012040/a01204016.png ; $\partial M ^ { n + 1 } = K ^ { n }$ ; confidence 0.516
  
208. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047160/h0471603.png ; $H ( z ) = \sum _ { i = 1 } ^ { n } \sum _ { j = 1 } ^ { n } a _ { i j } z _ { i } z _ { j }$ ; confidence 0.374
+
208. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b120420145.png ; $\sum h _ { ( 1 ) } \otimes h _ { ( 2 ) }$ ; confidence 0.516
  
209. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055850/k055850103.png ; $D _ { \alpha }$ ; confidence 0.374
+
209. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020021.png ; $\phi = ( \phi _ { 1 } , \ldots , \phi _ { n } )$ ; confidence 0.516
  
210. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240377.png ; $T ^ { 2 }$ ; confidence 0.373
+
210. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024044.png ; $u _ { 1 } = \int _ { L } \phi _ { 1 } , \ldots , u _ { g } = \int _ { L } \phi _ { g }$ ; confidence 0.516
  
211. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017030/b01703046.png ; $\mathfrak { M } _ { n }$ ; confidence 0.373
+
211. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013026.png ; $( 1 )$ ; confidence 0.515
  
212. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c12008028.png ; $A _ { j } A _ { k l } = A _ { k l } A _ { j }$ ; confidence 0.372
+
212. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021550/c0215505.png ; $\phi : \mathfrak { g } \rightarrow \mathfrak { g } ( V )$ ; confidence 0.515
  
213. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010139.png ; $i = 1 , \dots , r$ ; confidence 0.372
+
213. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120200/w12020038.png ; $\int _ { a } ^ { b } ( f ^ { ( r ) } ( x ) ) ^ { 2 } d x \leq 1$ ; confidence 0.515
  
214. https://www.encyclopediaofmath.org/legacyimages/i/i053/i053020/i05302096.png ; $\beta _ { k } q _ { k + 1 } = A q _ { k } - \beta _ { k - 1 } q _ { k - 1 } - \alpha _ { k } q _ { k k }$ ; confidence 0.371
+
214. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015420/b01542034.png ; $x = ( x _ { 1 } + \ldots + x _ { n } ) / n$ ; confidence 0.514
  
215. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087030/s0870309.png ; $f _ { h } \in U _ { k }$ ; confidence 0.371
+
215. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120040/c12004012.png ; $( f \in H _ { C } ( D ) )$ ; confidence 0.513
  
216. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041060/f041060205.png ; $d _ { C } ^ { - 1 } = \operatorname { det } \left\| \begin{array} { c c } { \phi _ { \theta } \theta } & { \phi _ { \theta x } } \\ { \phi _ { y } \theta } & { \phi _ { y x } } \end{array} \right\|$ ; confidence 0.370
+
216. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110380/a11038040.png ; $\sim 2$ ; confidence 0.512
  
217. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a0102104.png ; $a _ { 1 } b _ { 1 } \ldots a _ { 8 } b _ { 8 }$ ; confidence 0.369
+
217. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130090/d13009046.png ; $1 \leq u \leq \operatorname { exp } ( \operatorname { log } ( 3 / 5 ) - \epsilon _ { y } )$ ; confidence 0.512
  
218. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013099.png ; $z \in C$ ; confidence 0.369
+
218. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010255.png ; $\delta A = - H . | A | \cdot \operatorname { diag } ( \operatorname { sgn } ( x _ { i } ) )$ ; confidence 0.511
  
219. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640127.png ; $M = 10 p _ { t x } - p _ { g } - 2 p ^ { ( 1 ) } + 12 + \theta$ ; confidence 0.369
+
219. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074970/p074970165.png ; $DX _ { k } = \sigma ^ { 2 }$ ; confidence 0.511
  
220. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010168.png ; $\hat { k } ( \alpha + \beta )$ ; confidence 0.369
+
220. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082150/r082150142.png ; $\operatorname { exp } _ { q } X = r$ ; confidence 0.511
  
221. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010206.png ; $z \leq | ( \hat { \lambda } I - \Lambda ) ^ { - 1 } | | T ^ { - 1 } | | \delta A | | T | z |$ ; confidence 0.368
+
221. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021017.png ; $\omega = p d z , \quad \pi = q d z , \quad \alpha = \alpha ( z )$ ; confidence 0.510
  
222. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024056.png ; $i = 1 , \ldots , I$ ; confidence 0.368
+
222. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073030/p07303077.png ; $\mathfrak { g } = C$ ; confidence 0.510
  
223. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010113.png ; $\delta b = H . | b$ ; confidence 0.368
+
223. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092600/t09260032.png ; $\operatorname { lm } A = \| \operatorname { lm } \alpha _ { \mu \nu } |$ ; confidence 0.510
  
224. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110410/a11041070.png ; $K _ { X } ^ { v } \otimes L ^ { i }$ ; confidence 0.368
+
224. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240420.png ; $\zeta _ { 1 } , \ldots , \zeta _ { q }$ ; confidence 0.510
  
225. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f120150202.png ; $n \| < C$ ; confidence 0.368
+
225. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110080/a11008016.png ; $c _ { X } \leq 0$ ; confidence 0.509
  
226. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075660/p07566043.png ; $\partial _ { x } = \partial / \partial x$ ; confidence 0.368
+
226. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023076.png ; $Z ^ { * }$ ; confidence 0.508
  
227. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075190/p07519074.png ; $E _ { i j }$ ; confidence 0.366
+
227. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059110/l059110155.png ; $L _ { h } u _ { k } = f _ { k }$ ; confidence 0.508
  
228. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010286.png ; $( \hat { \lambda } B - C ) ^ { - 1 } = P ( \hat { \lambda } I - \Lambda ) ^ { - 1 } Q$ ; confidence 0.363
+
228. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018028.png ; $\sigma > c$ ; confidence 0.508
  
229. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032330/d03233040.png ; $b _ { 0 }$ ; confidence 0.363
+
229. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040247.png ; $H _ { 1 } , \ldots , H _ { k } : C ^ { M } \rightarrow C$ ; confidence 0.507
  
230. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130060/l13006070.png ; $\frac { 1 } { 4 n } \operatorname { max } \{ \alpha _ { i } : 0 \leq i \leq t \} \leq \Delta _ { 2 } \leq \frac { 1 } { 4 n } ( \sum _ { i = 0 } ^ { t } \alpha _ { i } + 2 )$ ; confidence 0.363
+
230. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050030/i05003048.png ; $I _ { X }$ ; confidence 0.507
  
231. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010135.png ; $\| ( A + \delta A ) ^ { + } \| _ { 2 } \leq \frac { \| A ^ { + } \| _ { 2 } } { 1 - \| A ^ { + } \| _ { 2 } \| ^ { \delta A \| _ { 2 } } }$ ; confidence 0.362
+
231. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i130030142.png ; $\pi$ ; confidence 0.507
  
232. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032320/d03232015.png ; $u _ { R } ^ { k } ( x ) = \sum _ { i = 1 } ^ { n } u _ { i } a _ { i } ^ { k } ( x )$ ; confidence 0.362
+
232. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065440/m06544031.png ; $\Phi _ { t } = id$ ; confidence 0.507
  
233. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090670/s09067035.png ; $j _ { X } ^ { k } ( u )$ ; confidence 0.362
+
233. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067960/n06796016.png ; $q 2 = 6$ ; confidence 0.507
  
234. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539040.png ; $E [ L ( \theta , d ) | x ]$ ; confidence 0.361
+
234. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085400/s08540076.png ; $x _ { i } \in \pi$ ; confidence 0.507
  
235. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094440/t09444040.png ; $u _ { m } = u ( M _ { m } )$ ; confidence 0.360
+
235. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048000/h04800018.png ; $\Omega \in \Delta ^ { n } S$ ; confidence 0.506
  
236. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032150/d032150132.png ; $\hat { V }$ ; confidence 0.359
+
236. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059160/l05916065.png ; $A ^ { ( 0 ) }$ ; confidence 0.506
  
237. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020950/c02095032.png ; $L u = \sum _ { | \alpha | \leq m } \alpha _ { \alpha } ( x ) \frac { \partial ^ { \alpha } u } { \partial x ^ { \alpha } } = f ( x )$ ; confidence 0.358
+
237. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087450/s087450221.png ; $a T \rightarrow \infty$ ; confidence 0.506
  
238. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002013.png ; $g = d \cdot d ^ { \prime - 1 }$ ; confidence 0.357
+
238. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240547.png ; $T ^ { 2 }$ ; confidence 0.505
  
239. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020079.png ; $\alpha = \text { Coker } ( \text { Ker } \alpha ) \theta \text { ker } ( \text { Coker } \alpha )$ ; confidence 0.357
+
239. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a0102106.png ; $I \subset I I \subset M$ ; confidence 0.505
  
240. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130050/o13005087.png ; $v _ { n } \in G$ ; confidence 0.357
+
240. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300103.png ; $( - ) ^ { * } : C ^ { 0 p } \rightarrow C$ ; confidence 0.505
  
241. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110269.png ; $g _ { 1 } = | d x | ^ { 2 } + \frac { | d \xi | ^ { 2 } } { | \xi | ^ { 2 } } \leq g = \frac { | d x | ^ { 2 } } { | x | ^ { 2 } } + \frac { | d \xi | ^ { 2 } } { | \xi | ^ { 2 } }$ ; confidence 0.357
+
241. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020025.png ; $D : \mathfrak { D } \rightarrow A$ ; confidence 0.505
  
242. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b120210148.png ; $\mathfrak { p } \supset b$ ; confidence 0.356
+
242. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040367.png ; $\tilde { \Omega }$ ; confidence 0.505
  
243. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001085.png ; $0$ ; confidence 0.355
+
243. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040080/f04008051.png ; $P ^ { * } = \{ P _ { X } ^ { * } : x \in X \}$ ; confidence 0.505
  
244. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063760/m063760111.png ; $0 \rightarrow A \rightarrow B \stackrel { sp } { \rightarrow } \pi * C \rightarrow 0$ ; confidence 0.355
+
244. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090260/s09026014.png ; $d X ( t ) = a ( t ) Z ( t ) d t + d Y ( t )$ ; confidence 0.505
  
245. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013088.png ; $t$ ; confidence 0.354
+
245. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120130/t12013055.png ; $M = M \Lambda ^ { t }$ ; confidence 0.505
  
246. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110630/a11063032.png ; $\rho _ { 0 n + } = \operatorname { sin } A$ ; confidence 0.354
+
246. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093340/t0933407.png ; $S _ { j } ^ { k } = \Gamma _ { i j } ^ { k } - \Gamma _ { j i } ^ { k }$ ; confidence 0.505
  
247. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097790/w09779041.png ; $\pi _ { 4 n - 1 } ( S ^ { 2 n } ) \rightarrow \pi _ { 4 n } ( S ^ { 2 n + 1 } )$ ; confidence 0.354
+
247. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013049.png ; $k$ ; confidence 0.504
  
248. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a1301303.png ; $P _ { 1 } = \left( \begin{array} { c c c } { 0 } & { \square } & { q } \\ { r } & { \square } & { 0 } \end{array} \right) , Q _ { 2 } = \left( \begin{array} { c c } { - \frac { i } { 2 } q r } & { \frac { i } { 2 } q x } \\ { - \frac { i } { 2 } r _ { x } } & { \frac { i } { 2 } q r } \end{array} \right)$ ; confidence 0.352
+
248. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016970/b01697056.png ; $\frac { 2 ^ { n } } { \operatorname { log } _ { 2 } n \cdot \operatorname { log } _ { 2 } \operatorname { log } _ { 2 } n } < l _ { f } ( n ) < \frac { 2 ^ { n } } { \operatorname { log } _ { 2 } n }$ ; confidence 0.504
  
249. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097510/w09751010.png ; $m _ { k } = \dot { k }$ ; confidence 0.352
+
249. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180209.png ; $\varepsilon$ ; confidence 0.504
  
250. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065460/m06546014.png ; $( \alpha \vee ( b . e ) ) : e = ( \alpha : e ) \vee b$ ; confidence 0.351
+
250. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067960/n06796020.png ; $q 2 = 4$ ; confidence 0.504
  
251. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872090.png ; $l _ { k } ( A )$ ; confidence 0.348
+
251. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018042.png ; $\alpha \neq - 1 , - 2 , \dots ,$ ; confidence 0.504
  
252. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010288.png ; $| e ^ { A + \delta A } - e ^ { A } \| \leq k ( T ) \cdot \| W \|$ ; confidence 0.347
+
252. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110080/a1100808.png ; $( c _ { x } , c _ { y } ) = c ( - \frac { \xi } { \omega } , - \frac { \eta } { \omega } ) = c ( - \operatorname { cos } \theta , - \operatorname { sin } \theta )$ ; confidence 0.503
  
253. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020036.png ; $M$ ; confidence 0.347
+
253. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010233.png ; $\lambda$ ; confidence 0.503
  
254. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240276.png ; $\leq F _ { \alpha ; q , x - \gamma }$ ; confidence 0.345
+
254. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420122.png ; $y \in H$ ; confidence 0.503
  
255. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087690/s0876903.png ; $f _ { h } ( t ) = \frac { 1 } { h } \int _ { t - k / 2 } ^ { t + k / 2 } f ( u ) d u = \frac { 1 } { h } \int _ { - k / 2 } ^ { k / 2 } f ( t + v ) d v$ ; confidence 0.345
+
255. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064590/m064590192.png ; $\alpha p$ ; confidence 0.503
  
256. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025720/c02572034.png ; $y _ { 0 } = A _ { x }$ ; confidence 0.344
+
256. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a014060256.png ; $A = S ^ { \prime }$ ; confidence 0.502
  
257. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210142.png ; $w$ ; confidence 0.343
+
257. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091730/s09173026.png ; $H ^ { n - k } \cap S ^ { k }$ ; confidence 0.502
  
258. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060310/l06031040.png ; $R = \{ \alpha \in K : \operatorname { mod } _ { K } ( \alpha ) \leq 1 \}$ ; confidence 0.342
+
258. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040153.png ; $\tilde { \Omega } _ { S 5 } T$ ; confidence 0.501
  
259. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150743.png ; $\left. \begin{array} { c c c } { B _ { i } } & { \stackrel { h _ { i } } { \rightarrow } } & { A _ { i } } \\ { g _ { i } \downarrow } & { \square } & { \downarrow f _ { i } } \\ { B } & { \vec { f } } & { A } \end{array} \right.$ ; confidence 0.342
+
259. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046280/h046280124.png ; $X = \| \left. \begin{array} { l l } { U _ { 1 } } & { U _ { 2 } } \\ { V _ { 1 } } & { V _ { 2 } } \end{array} \right. |$ ; confidence 0.501
  
260. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010140.png ; $\sigma _ { 1 } \geq \ldots \geq \sigma _ { \zeta }$ ; confidence 0.342
+
260. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240441.png ; $\beta _ { 1 } , \ldots , \beta _ { p }$ ; confidence 0.501
  
261. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240488.png ; $( \beta _ { t 0 } , \ldots , \beta _ { i k } )$ ; confidence 0.339
+
261. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240336.png ; $Z = X \Gamma + F$ ; confidence 0.500
  
262. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120150/e12015019.png ; $\frac { D \xi ^ { i } } { d t } = \frac { d \xi ^ { i } } { d t } + \frac { 1 } { 2 } g ^ { i } r \xi ^ { r }$ ; confidence 0.338
+
262. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650103.png ; $\Sigma ( M ) = B ^ { + } \cup _ { S ( M ) } B ^ { - }$ ; confidence 0.500
  
263. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067110/n06711048.png ; $\phi _ { i } / \partial x _ { Y }$ ; confidence 0.338
+
263. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130060/i130060185.png ; $< 2 a$ ; confidence 0.500
  
264. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062360/m06236012.png ; $T _ { i j }$ ; confidence 0.337
+
264. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090170/s0901702.png ; $\ldots < t _ { - 1 } < t _ { 0 } \leq 0 < t _ { 1 } < t _ { 2 } <$ ; confidence 0.500
  
265. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g043780168.png ; $T _ { \nu }$ ; confidence 0.336
+
265. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240356.png ; $E ( Z _ { 1 } ) = 0$ ; confidence 0.500
  
266. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i050230379.png ; $\| f \| _ { \Lambda _ { p } ^ { r } ( R ^ { n } ) } \leq K$ ; confidence 0.335
+
266. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240272.png ; $q ^ { - 1 } \sum _ { i = 1 } ^ { q } ( z _ { i } - \zeta _ { i } ) ^ { 2 } / MS _ { e }$ ; confidence 0.500
  
267. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057050/l057050123.png ; $c \rightarrow N$ ; confidence 0.335
+
267. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210130.png ; $\Omega ( a ) = \operatorname { dim } L ( a / ( \omega ) )$ ; confidence 0.499
  
268. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057150/l05715031.png ; $\mu$ ; confidence 0.335
+
268. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t1200104.png ; $m$ ; confidence 0.499
  
269. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001027.png ; $\frac { \| \delta x \| } { \| x \| } \leq \frac { \| A ^ { - 1 } \delta A \| + \frac { \| A ^ { - 1 } \delta b \| } { | x \| } } { 1 - \| A ^ { - 1 } \delta A \| }$ ; confidence 0.334
+
269. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010250.png ; $A x - \hat { \lambda } x = - \delta A x$ ; confidence 0.499
  
270. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240184.png ; $\eta _ { i } - \eta _ { s }$ ; confidence 0.334
+
270. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097290/w09729017.png ; $A _ { n } ( x _ { 0 } )$ ; confidence 0.499
  
271. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085400/s085400325.png ; $\tilde { f } : \Delta ^ { n + 1 } \rightarrow E$ ; confidence 0.333
+
271. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022290/c02229022.png ; $+ \frac { 1 } { 2 } \sum _ { 0 < u \leq \sqrt { x / 3 } } ( [ \sqrt { x - 2 u ^ { 2 } } ] - u ) + O ( \sqrt { x } )$ ; confidence 0.498
  
272. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110470/c11047054.png ; $h : H \rightarrow ( C \bigotimes T M ) / ( H \oplus \overline { H } )$ ; confidence 0.332
+
272. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023380/c023380172.png ; $C ( S ^ { n } )$ ; confidence 0.498
  
273. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120280/c1202808.png ; $F T op$ ; confidence 0.332
+
273. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010330/a0103302.png ; $| X | ^ { \prime }$ ; confidence 0.497
  
274. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082500/r08250032.png ; $\| u - P _ { n } u \| _ { A } \rightarrow 0$ ; confidence 0.332
+
274. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051040/i05104010.png ; $3 a$ ; confidence 0.497
  
275. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057510/l05751032.png ; $\Delta ( \alpha _ { 1 } \ldots i _ { p } d x ^ { i _ { 1 } } \wedge \ldots \wedge d x ^ { i p } ) =$ ; confidence 0.331
+
275. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130010/k13001035.png ; $f ( \vec { D } ( A ) ) = ( - A ^ { 3 } ) ^ { - \operatorname { Tait } ( \vec { D } ) } \langle D \rangle$ ; confidence 0.497
  
276. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020740/c020740394.png ; $( \alpha \circ \beta ) ( c ) _ { d x } = \sum _ { b } \alpha ( b ) _ { a } \beta ( c ) _ { b }$ ; confidence 0.330
+
276. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083000/s08300037.png ; $D _ { n } X \subset S ^ { n } \backslash X$ ; confidence 0.497
  
277. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180420.png ; $C ^ { \infty } ( \tilde { N } )$ ; confidence 0.330
+
277. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240445.png ; $y _ { 1 } , \dots , y _ { p }$ ; confidence 0.497
  
278. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021095.png ; $L$ ; confidence 0.330
+
278. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022920/c02292049.png ; $\operatorname { lm } c _ { 3 } = 0$ ; confidence 0.496
  
279. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062220/m06222011.png ; $\Delta \lambda _ { i } ^ { \alpha }$ ; confidence 0.329
+
279. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120020/e12002023.png ; $74$ ; confidence 0.496
  
280. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082210/r08221030.png ; $o = e K$ ; confidence 0.327
+
280. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a12031042.png ; $k$ ; confidence 0.496
  
281. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001099.png ; $_ { \nabla } ( G / K )$ ; confidence 0.326
+
281. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a1100204.png ; $D = k$ ; confidence 0.495
  
282. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110440/b1104407.png ; $\overline { \Xi } \epsilon = 0$ ; confidence 0.326
+
282. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059490/l059490127.png ; $\frac { d z } { d t } = - A ( t ) ^ { * } Z$ ; confidence 0.495
  
283. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a12031010.png ; $N$ ; confidence 0.325
+
283. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010283.png ; $i = 0 , \ldots , n - 1$ ; confidence 0.495
  
284. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240141.png ; $c$ ; confidence 0.324
+
284. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042210/f04221073.png ; $\tilde { f } : Y \rightarrow X$ ; confidence 0.494
  
285. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021085.png ; $C$ ; confidence 0.323
+
285. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110070/a11007018.png ; $\pi _ { p } ( T ) = \operatorname { inf } c$ ; confidence 0.493
  
286. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520141.png ; $N _ { 2 } = \left| \begin{array} { c c c c c } { . } & { \square } & { \square } & { \square } & { 0 } \\ { \square } & { . } & { \square } & { \square } & { \square } \\ { \square } & { \square } & { L ( e _ { j } ^ { n _ { i j } } ) } & { \square } & { \square } \\ { \square } & { \square } & { \square } & { . } & { \square } \\ { \square } & { \square } & { \square } & { \square } & { \square } \\ { 0 } & { \square } & { \square } & { \square } & { . } \end{array} \right|$ ; confidence 0.323
+
286. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110030/l11003082.png ; $M ( E ) = \vec { X }$ ; confidence 0.493
  
287. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240339.png ; $\Sigma _ { 1 } = X _ { 4 } ^ { \prime } \Sigma X _ { 4 }$ ; confidence 0.322
+
287. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240162.png ; $c ^ { \prime } \beta = \eta$ ; confidence 0.492
  
288. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041620/f04162020.png ; $X _ { i } \cap X _ { j } =$ ; confidence 0.322
+
288. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052000/i05200039.png ; $\Delta ^ { i }$ ; confidence 0.491
  
289. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087640/s08764086.png ; $n ( O _ { x } ) = 0$ ; confidence 0.322
+
289. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070070/o070070118.png ; $Y _ { n } = \frac { 1 } { 2 } ( X _ { ( n 1 ) } + X _ { ( n n ) } ) \quad \text { and } \quad Z _ { n } = \frac { n + 1 } { 2 } ( n - 1 ) ( X _ { ( n n ) } - X _ { ( n 1 ) } )$ ; confidence 0.491
  
290. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001033.png ; $[ \xi ^ { \alpha } , \xi ^ { b } ] = 2 \epsilon _ { \alpha b c } \xi ^ { c }$ ; confidence 0.322
+
290. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070220/o07022045.png ; $\int _ { G } x ( t ) y ( t ) d t \leq \| x \| _ { ( M ) } \| y \| _ { ( N ) }$ ; confidence 0.491
  
291. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110880/b11088033.png ; $P _ { I } ^ { f } : C ^ { \infty } \rightarrow L$ ; confidence 0.321
+
291. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020026.png ; $D ( \phi ) = D ( \phi _ { 1 } ) \ldots D ( \phi _ { n } ) = D ( \psi _ { 1 } ) \ldots D ( \psi _ { m } ) = D ( \psi )$ ; confidence 0.490
  
292. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110030/k11003029.png ; $\frac { x ^ { \rho + 1 } f ( x ) } { \int _ { x } ^ { x } t ^ { \sigma } f ( t ) d t } \rightarrow \sigma + \rho + 1 \quad ( x \rightarrow \infty )$ ; confidence 0.320
+
292. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022036.png ; $\sigma _ { ess } ( T )$ ; confidence 0.490
  
293. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047020/h04702011.png ; $F _ { n } ( x ) = ( x _ { 1 } ^ { 2 } + \ldots + x _ { y } ^ { 2 } ) ^ { 1 / 2 }$ ; confidence 0.316
+
293. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067960/n0679601.png ; $12$ ; confidence 0.490
  
294. https://www.encyclopediaofmath.org/legacyimages/o/o120/o120010/o12001037.png ; $\left. \begin{array} { l } { \nabla p _ { 1 } = \nabla p _ { 2 } = 0 } \\ { \frac { \partial v _ { 0 } } { \partial t } + [ \nabla v _ { 0 } ] v _ { 0 } = \frac { 1 } { Re } \Delta v _ { 0 } + \operatorname { Re } \nabla p _ { 3 } + \theta _ { 0 } b } \end{array} \right.$ ; confidence 0.316
+
294. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075050/p07505047.png ; $( K _ { i } / k )$ ; confidence 0.490
  
295. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013078.png ; $q ^ { ( l ) } = 2 i \frac { \tau _ { l } + 1 } { \tau _ { l } } , r ^ { ( l ) } = - 2 i \frac { \tau _ { l } - 1 } { \tau _ { l } }$ ; confidence 0.315
+
295. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b120210102.png ; $\{ \mu _ { i } \} _ { i = 1 } ^ { s - 1 } = \{ w . \lambda \} _ { w \in W ^ { ( k ) } }$ ; confidence 0.489
  
296. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b12015024.png ; $x = \frac { 1 } { n } \sum _ { j = 1 } ^ { n } x$ ; confidence 0.315
+
296. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130230/b13023050.png ; $G ( u )$ ; confidence 0.489
  
297. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024100/c024100277.png ; $\partial _ { r }$ ; confidence 0.315
+
297. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120020/e120020102.png ; $V \not \equiv W$ ; confidence 0.489
  
298. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120100/w12010028.png ; $\nabla _ { i g j k } = \gamma _ { i } g _ { j k }$ ; confidence 0.315
+
298. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065440/m06544062.png ; $d _ { é } ^ { l } < \ldots < d _ { e } ^ { 1 } = d$ ; confidence 0.489
  
299. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014310/a0143102.png ; $e$ ; confidence 0.314
+
299. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120240/s12024033.png ; $h ^ { S * } ( . ) \approx \overline { E } \times ( . )$ ; confidence 0.489
  
300. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023045.png ; $\therefore M \rightarrow F$ ; confidence 0.313
+
300. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092720/t09272013.png ; $\Delta _ { i j } = \Delta _ { j i } = \sqrt { ( x _ { i } - x _ { j } ) ^ { 2 } + ( y _ { i } - y _ { j } ) ^ { 2 } + ( z _ { i } - z _ { j } ) ^ { 2 } }$ ; confidence 0.489

Revision as of 10:28, 2 September 2019

List

1. g04334058.png ; $( \partial w / \partial t ) + ( \partial f / \partial x ) = ( h ^ { 2 } / 2 \tau ) ( \partial ^ { 2 } w / \partial x ^ { 2 } )$ ; confidence 0.582

2. a130240169.png ; $\beta = 0$ ; confidence 0.582

3. a11001011.png ; $12$ ; confidence 0.581

4. n06684017.png ; $\{ \psi _ { i } \} _ { 0 } ^ { m }$ ; confidence 0.581

5. a110040131.png ; $\tilde { \varphi } _ { L }$ ; confidence 0.580

6. a01012069.png ; $f ( z ) \neq 0$ ; confidence 0.580

7. t120010120.png ; $b _ { 2 } ( s ) \leq 1$ ; confidence 0.580

8. b01605010.png ; $b ( \theta ) \equiv 0$ ; confidence 0.580

9. l12005018.png ; $f ( x ) = \operatorname { lim } _ { N \rightarrow \infty } \frac { 4 } { \pi ^ { 2 } } \int _ { 0 } ^ { N } \operatorname { cosh } ( \pi \tau ) \operatorname { Im } K _ { 1 / 2 + i \tau } ( x ) F ( \tau ) d \tau$ ; confidence 0.580

10. p0724304.png ; $B \operatorname { ccos } ( \omega t + \psi )$ ; confidence 0.580

11. c02648027.png ; $\pi _ { i } : S \rightarrow A$ ; confidence 0.579

12. e03684018.png ; $K ( B - C _ { N } ) > K ( B - A ) > D$ ; confidence 0.579

13. g04440061.png ; $z$ ; confidence 0.578

14. s0864803.png ; $E | X ( t ) | ^ { n } \leq C < \infty$ ; confidence 0.578

15. s08755019.png ; $\alpha < p b$ ; confidence 0.578

16. c0276008.png ; $- \infty < z < \infty$ ; confidence 0.577

17. a01024060.png ; $A _ { i }$ ; confidence 0.577

18. a0104307.png ; $p _ { j } = P \{ \xi ( t + 1 ) = j | \xi ( t ) = i \}$ ; confidence 0.577

19. t092810186.png ; $B s$ ; confidence 0.576

20. a11001070.png ; $\frac { \| \delta x \| } { \| x \| } \leq \frac { 2 \epsilon \| A ^ { - 1 } \| A \| } { 1 - \epsilon \| A ^ { - 1 } \| A \| }$ ; confidence 0.575

21. a110010247.png ; $x ^ { 1 } = \overline { x }$ ; confidence 0.575

22. q11003019.png ; $\alpha > a ^ { * }$ ; confidence 0.575

23. t09280017.png ; $X _ { ( \tau _ { 1 } + \ldots + \tau _ { j - 1 } + 1 ) } = \ldots = X _ { ( \tau _ { 1 } + \ldots + \tau _ { j } ) }$ ; confidence 0.575

24. t093150622.png ; $( f _ { i } : B _ { i } \rightarrow B ) _ { i \in l }$ ; confidence 0.575

25. a12002018.png ; $H : A \times I \rightarrow Z$ ; confidence 0.575

26. a11004011.png ; $\phi _ { L } : A \rightarrow A$ ; confidence 0.574

27. a130240107.png ; $i = 1 , \dots , n$ ; confidence 0.574

28. t12001014.png ; $5$ ; confidence 0.574

29. c11021043.png ; $T ( 0 ) = 0$ ; confidence 0.574

30. a01021035.png ; $\phi _ { 1 } , \ldots , \phi _ { g }$ ; confidence 0.573

31. a01018044.png ; $\alpha = - 1 , - 2 , \ldots$ ; confidence 0.572

32. b12032011.png ; $\| x + y \| _ { p } = \| u + v \| _ { p }$ ; confidence 0.572

33. l06120026.png ; $E ( T ) = \int \int _ { T } \frac { d x d y } { | x - y | }$ ; confidence 0.572

34. a01022077.png ; $z _ { 1 } , \ldots , z _ { p }$ ; confidence 0.572

35. a1200307.png ; $( - 1 ) ^ { n } f ^ { ( n ) } ( x ) \geq 0 \text { on } I$ ; confidence 0.571

36. a13013066.png ; $5$ ; confidence 0.571

37. w13004043.png ; $K = - ( \frac { 4 | d g | } { ( 1 + | g | ^ { 2 } ) ^ { 2 } | \eta | } \} ^ { 2 }$ ; confidence 0.571

38. a13013059.png ; $i$ ; confidence 0.570

39. c022780302.png ; $( S _ { \omega } ^ { c } ( e ) T ) [ M ] \in Z$ ; confidence 0.570

40. s086190182.png ; $s \in E ^ { n }$ ; confidence 0.570

41. v11002046.png ; $x \in Y ( u )$ ; confidence 0.570

42. d031990131.png ; $R _ { L } = H ( V )$ ; confidence 0.569

43. g04473023.png ; $f _ { B } ( x ) = \frac { \lambda ^ { x } } { x ! } e ^ { - \lambda } \{ 1 + \frac { \mu _ { 2 } - \lambda } { \lambda ^ { 2 } } [ \frac { x ^ { [ 2 ] } } { 2 } - \lambda x ^ { [ 1 ] } + \frac { \lambda ^ { 2 } } { 2 } ] +$ ; confidence 0.569

44. l057050165.png ; $a \rightarrow a b d ^ { 6 }$ ; confidence 0.569

45. s08525014.png ; $\sum _ { j = 1 } ^ { n } | b _ { j j } | \leq \rho$ ; confidence 0.569

46. z130100102.png ; $\forall v \exists u ( \forall w \varphi \leftrightarrow u = w )$ ; confidence 0.569

47. a110010154.png ; $\| \delta x \| f \| x \|$ ; confidence 0.569

48. a110040158.png ; $f | c : C \rightarrow H$ ; confidence 0.568

49. a11004012.png ; $\alpha \mapsto t _ { x } ^ { * } L \otimes L ^ { - 1 }$ ; confidence 0.568

50. a11054026.png ; $O ( n ^ { 2 } \operatorname { log } n )$ ; confidence 0.568

51. a13023028.png ; $f _ { 1 } = ( P _ { n } \ldots P _ { 1 } ) ^ { 1 } f$ ; confidence 0.568

52. m063460182.png ; $z \in N$ ; confidence 0.568

53. s085360140.png ; $B d K$ ; confidence 0.567

54. r08062076.png ; $\beta$ ; confidence 0.566

55. b0153901.png ; $( X , B X )$ ; confidence 0.566

56. a130040567.png ; $\Lambda _ { D } \operatorname { Th } m D$ ; confidence 0.565

57. j054050109.png ; $dn ^ { 2 } u + k ^ { 2 } sn ^ { 2 } u = 1$ ; confidence 0.565

58. a130240481.png ; $n _ { 1 } + 1 , \ldots , n _ { 1 } + n _ { 2 }$ ; confidence 0.565

59. a01018054.png ; $s = 1$ ; confidence 0.564

60. a01198058.png ; $\{ f ( x ) \overline { \phi } _ { \lambda } ( x ) \}$ ; confidence 0.564

61. a130240280.png ; $\hat { \sigma } \hat { \psi } = \| d \| ( MS _ { e } ) ^ { 1 / 2 }$ ; confidence 0.563

62. a110040188.png ; $D$ ; confidence 0.563

63. a110010277.png ; $C$ ; confidence 0.563

64. a010210125.png ; $L ( a )$ ; confidence 0.563

65. a130240393.png ; $\operatorname { tr } ( M _ { H } ( M _ { H } + M _ { E } ) ^ { - 1 } ) > c$ ; confidence 0.562

66. t120010140.png ; $\geq 7$ ; confidence 0.562

67. a012970129.png ; $S _ { 2 } ^ { \gamma }$ ; confidence 0.562

68. f041060187.png ; $K _ { j } \times R ^ { N j }$ ; confidence 0.562

69. k05580079.png ; $( \partial ^ { 2 } / \partial x \partial t ) u = \operatorname { sin } u$ ; confidence 0.562

70. a01020038.png ; $d _ { n } d _ { n + 1 } = 0 , n = 0 , \pm 1 , \pm 2 , \dots$ ; confidence 0.562

71. a12002019.png ; $H _ { 0 }$ ; confidence 0.561

72. c02604025.png ; $A _ { n } : E _ { n } \rightarrow F _ { n }$ ; confidence 0.561

73. d032130227.png ; $\int _ { S } \omega$ ; confidence 0.561

74. b11042014.png ; $( Id - \Delta ) ^ { \nu }$ ; confidence 0.560

75. b0160507.png ; $E _ { \theta } \{ T \}$ ; confidence 0.560

76. v096900232.png ; $III _ { 0 }$ ; confidence 0.560

77. a130240337.png ; $1$ ; confidence 0.560

78. a1100202.png ; $v$ ; confidence 0.560

79. a130040509.png ; $\Delta$ ; confidence 0.559

80. a12031081.png ; $\{ z \in A : z \alpha = \alpha z \text { for each } \alpha \in A \}$ ; confidence 0.559

81. m06306029.png ; $x _ { i + 1 } = x _ { i } - ( \alpha _ { i } \nabla \nabla f ( x _ { j } ) + \beta _ { i } I ) ^ { - 1 } \nabla f ( x _ { i } )$ ; confidence 0.559

82. t12003042.png ; $\psi = \Psi ^ { \prime }$ ; confidence 0.559

83. t11002049.png ; $e ^ { \prime }$ ; confidence 0.559

84. a01029032.png ; $A ^ { \prime \prime }$ ; confidence 0.559

85. e036230124.png ; $k \geq n - i t$ ; confidence 0.558

86. f0410005.png ; $J _ { \nu }$ ; confidence 0.556

87. i05302031.png ; $\kappa _ { k } = a _ { n n } ^ { ( k ) }$ ; confidence 0.556

88. a110040116.png ; $( E _ { 1 } , E _ { 2 } ) = 1$ ; confidence 0.555

89. c023550175.png ; $X = 0$ ; confidence 0.554

90. i13005074.png ; $| r _ { + } ( k ) | \leq 1 - c k ^ { 2 } ( 1 + k ^ { 2 } ) ^ { - 1 }$ ; confidence 0.554

91. l120100122.png ; $R ^ { n } \times R ^ { n }$ ; confidence 0.554

92. s12028015.png ; $\overline { E } * ( X )$ ; confidence 0.554

93. a1100203.png ; $D \subset G$ ; confidence 0.553

94. c0225702.png ; $x _ { n } \in D _ { A }$ ; confidence 0.553

95. c02286015.png ; $b _ { i + 1 } \ldots b _ { j }$ ; confidence 0.553

96. s09023035.png ; $\overline { w }$ ; confidence 0.553

97. a110010220.png ; $\lambda _ { j }$ ; confidence 0.553

98. a110010176.png ; $A ^ { + \text { new } } = B - \delta A ^ { + }$ ; confidence 0.552

99. a01012031.png ; $\Lambda _ { a }$ ; confidence 0.552

100. i13002074.png ; $+ \frac { n } { p _ { 1 } p _ { 2 } } + \ldots + \frac { n } { p _ { k - 1 } p _ { k } } + - \frac { n } { p _ { 1 } p _ { 2 } p _ { 3 } } - \ldots + ( - 1 ) ^ { k } \frac { n } { p _ { 1 } \ldots p _ { k } }$ ; confidence 0.552

101. a01021051.png ; $( \frac { a - x } { z ^ { x } } + \ldots + \frac { a - 1 } { z } + f ( z ) ) d z$ ; confidence 0.552

102. a110010144.png ; $\frac { \| ( A + \delta A ) ^ { + } - A ^ { + } \| } { \| ( A + \delta A ) ^ { + } \| _ { 2 } } \leq \mu \| A ^ { + } \| _ { 2 } \| \delta A _ { 2 }$ ; confidence 0.551

103. m0623907.png ; $P \{ \xi ( 0 ) = j \} = p _ { j }$ ; confidence 0.551

104. r110010273.png ; $e _ { 3 } = ( \alpha + d ) + ( b + c )$ ; confidence 0.551

105. a01043019.png ; $t T \infty$ ; confidence 0.551

106. a130240182.png ; $H _ { A }$ ; confidence 0.550

107. a13013085.png ; $L$ ; confidence 0.550

108. a130240204.png ; $74$ ; confidence 0.550

109. b01539023.png ; $P _ { \theta } ( d x ) = p ( x | \theta ) d \mu ( x )$ ; confidence 0.550

110. n067520303.png ; $A \simeq K$ ; confidence 0.550

111. a01022027.png ; $u _ { 1 } , \dots , u _ { p }$ ; confidence 0.550

112. g044340228.png ; $\xi \in ( \nu F ^ { m } ) _ { p }$ ; confidence 0.549

113. l059110158.png ; $f _ { h } \in F _ { k }$ ; confidence 0.549

114. a0104208.png ; $c = E ( Y _ { 1 } )$ ; confidence 0.549

115. a130240371.png ; $Z _ { 1 } M _ { E } ^ { - 1 } Z _ { 1 } ^ { \prime }$ ; confidence 0.548

116. a130240332.png ; $Z = Y X$ ; confidence 0.548

117. a01012044.png ; $S _ { 1 } = W _ { 1 }$ ; confidence 0.547

118. r08061050.png ; $E ( Y - f ( x ) ) ^ { 2 }$ ; confidence 0.547

119. a01022080.png ; $j , k = 1 , \dots , p$ ; confidence 0.546

120. i05294012.png ; $Y \times t$ ; confidence 0.546

121. a130240252.png ; $F > F _ { \alpha ; q , n - \gamma }$ ; confidence 0.546

122. b1105203.png ; $\sum _ { n = 1 } ^ { \infty } l _ { k } ^ { 2 } \operatorname { exp } ( l _ { 1 } + \ldots + l _ { n } ) = \infty$ ; confidence 0.545

123. m06310035.png ; $\hat { \theta } = X$ ; confidence 0.545

124. a13001014.png ; $R el$ ; confidence 0.544

125. c02250014.png ; $j \leq n$ ; confidence 0.544

126. u09563071.png ; $U : B \rightarrow A$ ; confidence 0.544

127. r13008048.png ; $\{ \phi j ( z ) \}$ ; confidence 0.543

128. a130040602.png ; $S _ { P }$ ; confidence 0.543

129. a13024073.png ; $n = I K$ ; confidence 0.542

130. c0225705.png ; $x \in D _ { A }$ ; confidence 0.542

131. r08061012.png ; $E ( Y | x ) = m ( x )$ ; confidence 0.542

132. s09114030.png ; $\sum _ { k = 0 } ^ { \infty } \lambda _ { k } u _ { k }$ ; confidence 0.542

133. a1100405.png ; $p _ { g } = h ^ { 2 } ( A , O _ { A } ) = 1$ ; confidence 0.542

134. t120010121.png ; $S = SU ( m ) / S ( U ( m - 2 ) \times U ( 1 ) )$ ; confidence 0.541

135. d030700139.png ; $\kappa ^ { \prime } \cong \kappa \otimes O \Lambda$ ; confidence 0.541

136. p072710140.png ; $\sigma A = x ^ { * } \partial \sigma ^ { * } \operatorname { lk } _ { A } \sigma + A _ { 1 }$ ; confidence 0.541

137. r07763050.png ; $\delta _ { \phi }$ ; confidence 0.541

138. a110420164.png ; $C ( S ^ { 2 n } )$ ; confidence 0.540

139. n067850111.png ; $u \in E ^ { \prime } \otimes - E$ ; confidence 0.540

140. a01021078.png ; $j = 1 , \ldots , n$ ; confidence 0.539

141. a01024062.png ; $B i$ ; confidence 0.539

142. h04833033.png ; $E _ { X } ^ { N }$ ; confidence 0.539

143. a110010115.png ; $h _ { i i } = r _ { i } / ( | A | | x | + | b | ) _ { i }$ ; confidence 0.539

144. a130040485.png ; $\Phi$ ; confidence 0.539

145. t120010117.png ; $D$ ; confidence 0.538

146. a011450195.png ; $C / \Omega$ ; confidence 0.538

147. c02760032.png ; $( u = const )$ ; confidence 0.538

148. n06711026.png ; $\| z ^ { n } \| \leq q ^ { n } ( 1 - q ) ^ { - 1 } \| u ^ { 0 } - u ^ { 1 } \|$ ; confidence 0.538

149. a130240482.png ; $n = \sum n$ ; confidence 0.537

150. a1100802.png ; $u = u ( x , y , t ) = e ^ { i ( \omega t + \xi x + \eta y ) }$ ; confidence 0.537

151. c02157034.png ; $\pi _ { 0 }$ ; confidence 0.537

152. k055580126.png ; $\hat { M } _ { 0 }$ ; confidence 0.537

153. m06207013.png ; $H _ { 2 } \times H _ { 1 }$ ; confidence 0.537

154. q07683079.png ; $\rho = E m \alpha \tau _ { j } ^ { e }$ ; confidence 0.537

155. a01022030.png ; $z _ { j } = \int _ { c _ { 1 } } ^ { x _ { 1 } } d u _ { j } + \ldots + \int _ { c _ { p } } ^ { x _ { p } } d u _ { j } , \quad j = 1 , \ldots , p$ ; confidence 0.537

156. a01012078.png ; $\{ \nu _ { k } \}$ ; confidence 0.536

157. b130300113.png ; $A$ ; confidence 0.535

158. d13006089.png ; $m B$ ; confidence 0.535

159. p07243078.png ; $| V _ { m n } | \ll | E _ { n } ^ { ( 0 ) } - E _ { m } ^ { ( 0 ) } |$ ; confidence 0.535

160. a130240285.png ; $\psi \in L$ ; confidence 0.533

161. b01531023.png ; $X _ { s } = X \times s s$ ; confidence 0.533

162. p072930169.png ; $t _ { \gamma }$ ; confidence 0.533

163. a0101208.png ; $P _ { N } ( z )$ ; confidence 0.533

164. a13018015.png ; $\tau \in V o c$ ; confidence 0.532

165. m12011020.png ; $t ( h ) = T ( h ) \cup \partial T ( k ) \partial F \times D ^ { 2 }$ ; confidence 0.532

166. m06551020.png ; $n _ { \Delta } = 1$ ; confidence 0.532

167. a1300105.png ; $4$ ; confidence 0.531

168. d032450371.png ; $\{ fd ( M )$ ; confidence 0.531

169. s110040107.png ; $\phi ( D _ { X } ) = D _ { X }$ ; confidence 0.531

170. a01012010.png ; $\lambda _ { x } = a + n h$ ; confidence 0.530

171. a11006034.png ; $\{ X _ { i } : u \in I \}$ ; confidence 0.529

172. c026010468.png ; $P s$ ; confidence 0.529

173. a11001064.png ; $\rho ( | A ^ { - 1 } \delta A | ) < 1$ ; confidence 0.528

174. a11006024.png ; $\{ A _ { 1 } , \dots , A _ { l } \}$ ; confidence 0.527

175. c02545035.png ; $T ^ { * }$ ; confidence 0.527

176. a130240329.png ; $x$ ; confidence 0.527

177. c1100106.png ; $T : A _ { j } \rightarrow A$ ; confidence 0.526

178. m12009011.png ; $- i \partial / \partial x _ { j }$ ; confidence 0.526

179. a01021092.png ; $w _ { 3 }$ ; confidence 0.525

180. c02757085.png ; $z$ ; confidence 0.525

181. t12008049.png ; $( 5 \times 10 ^ { 6 } r ) ^ { 3 }$ ; confidence 0.525

182. i050650148.png ; $\therefore M \rightarrow E$ ; confidence 0.524

183. l12015025.png ; $w \in T V$ ; confidence 0.524

184. a1100109.png ; $\overline { X } - X$ ; confidence 0.524

185. d031830290.png ; $A = \sum _ { i = 0 } ^ { d } A _ { i } u _ { A } ^ { i }$ ; confidence 0.523

186. m06550014.png ; $P ( \mathfrak { m } / \mathfrak { m } ^ { 2 } )$ ; confidence 0.523

187. a01021069.png ; $( - 1 / z ) d z$ ; confidence 0.522

188. b01701014.png ; $\alpha _ { k } = a _ { k k } - v _ { k } A _ { k - 1 } ^ { - 1 } u _ { k }$ ; confidence 0.522

189. r13016036.png ; $R ^ { \infty } \rightarrow \ldots \rightarrow R ^ { m } \rightarrow \ldots \rightarrow R ^ { 0 }$ ; confidence 0.522

190. a01012055.png ; $\{ n _ { k } \}$ ; confidence 0.521

191. a11001080.png ; $| v |$ ; confidence 0.521

192. v09635084.png ; $a \perp b$ ; confidence 0.521

193. w0973508.png ; $A = N \oplus s$ ; confidence 0.521

194. f1202409.png ; $t \mapsto t + T$ ; confidence 0.520

195. m06249054.png ; $F _ { \infty } ^ { s }$ ; confidence 0.520

196. m13022071.png ; $T$ ; confidence 0.520

197. p074970164.png ; $E X _ { k } = a$ ; confidence 0.520

198. a130240418.png ; $n ^ { - 1 } M _ { E }$ ; confidence 0.519

199. e03516059.png ; $\frac { \partial } { \partial x } ( k _ { 1 } \frac { \partial u } { \partial x } ) + \frac { \partial } { \partial y } ( k _ { 2 } \frac { \partial u } { \partial y } ) + \lambda n = 0$ ; confidence 0.519

200. g04465025.png ; $a _ { y }$ ; confidence 0.519

201. k056010160.png ; $R ^ { k } p \times ( F )$ ; confidence 0.519

202. a110420119.png ; $x \in H ^ { + }$ ; confidence 0.518

203. r082290200.png ; $p _ { \alpha } = e$ ; confidence 0.518

204. b0154406.png ; $E X _ { 2 j } = \mu _ { 2 }$ ; confidence 0.517

205. a11002042.png ; $( \frac { q ^ { d + 1 } - 1 } { q ^ { - 1 } } , \frac { q ^ { d } - 1 } { q ^ { - 1 } } , \frac { q ^ { d - 1 } - 1 } { q ^ { - 1 } } )$ ; confidence 0.517

206. a0102407.png ; $j = 0 , \dots , n$ ; confidence 0.517

207. a01204016.png ; $\partial M ^ { n + 1 } = K ^ { n }$ ; confidence 0.516

208. b120420145.png ; $\sum h _ { ( 1 ) } \otimes h _ { ( 2 ) }$ ; confidence 0.516

209. a01020021.png ; $\phi = ( \phi _ { 1 } , \ldots , \phi _ { n } )$ ; confidence 0.516

210. a01024044.png ; $u _ { 1 } = \int _ { L } \phi _ { 1 } , \ldots , u _ { g } = \int _ { L } \phi _ { g }$ ; confidence 0.516

211. a13013026.png ; $( 1 )$ ; confidence 0.515

212. c0215505.png ; $\phi : \mathfrak { g } \rightarrow \mathfrak { g } ( V )$ ; confidence 0.515

213. w12020038.png ; $\int _ { a } ^ { b } ( f ^ { ( r ) } ( x ) ) ^ { 2 } d x \leq 1$ ; confidence 0.515

214. b01542034.png ; $x = ( x _ { 1 } + \ldots + x _ { n } ) / n$ ; confidence 0.514

215. c12004012.png ; $( f \in H _ { C } ( D ) )$ ; confidence 0.513

216. a11038040.png ; $\sim 2$ ; confidence 0.512

217. d13009046.png ; $1 \leq u \leq \operatorname { exp } ( \operatorname { log } ( 3 / 5 ) - \epsilon _ { y } )$ ; confidence 0.512

218. a110010255.png ; $\delta A = - H . | A | \cdot \operatorname { diag } ( \operatorname { sgn } ( x _ { i } ) )$ ; confidence 0.511

219. p074970165.png ; $DX _ { k } = \sigma ^ { 2 }$ ; confidence 0.511

220. r082150142.png ; $\operatorname { exp } _ { q } X = r$ ; confidence 0.511

221. a01021017.png ; $\omega = p d z , \quad \pi = q d z , \quad \alpha = \alpha ( z )$ ; confidence 0.510

222. p07303077.png ; $\mathfrak { g } = C$ ; confidence 0.510

223. t09260032.png ; $\operatorname { lm } A = \| \operatorname { lm } \alpha _ { \mu \nu } |$ ; confidence 0.510

224. a130240420.png ; $\zeta _ { 1 } , \ldots , \zeta _ { q }$ ; confidence 0.510

225. a11008016.png ; $c _ { X } \leq 0$ ; confidence 0.509

226. d12023076.png ; $Z ^ { * }$ ; confidence 0.508

227. l059110155.png ; $L _ { h } u _ { k } = f _ { k }$ ; confidence 0.508

228. a01018028.png ; $\sigma > c$ ; confidence 0.508

229. a110040247.png ; $H _ { 1 } , \ldots , H _ { k } : C ^ { M } \rightarrow C$ ; confidence 0.507

230. i05003048.png ; $I _ { X }$ ; confidence 0.507

231. i130030142.png ; $\pi$ ; confidence 0.507

232. m06544031.png ; $\Phi _ { t } = id$ ; confidence 0.507

233. n06796016.png ; $q 2 = 6$ ; confidence 0.507

234. s08540076.png ; $x _ { i } \in \pi$ ; confidence 0.507

235. h04800018.png ; $\Omega \in \Delta ^ { n } S$ ; confidence 0.506

236. l05916065.png ; $A ^ { ( 0 ) }$ ; confidence 0.506

237. s087450221.png ; $a T \rightarrow \infty$ ; confidence 0.506

238. a130240547.png ; $T ^ { 2 }$ ; confidence 0.505

239. a0102106.png ; $I \subset I I \subset M$ ; confidence 0.505

240. a1300103.png ; $( - ) ^ { * } : C ^ { 0 p } \rightarrow C$ ; confidence 0.505

241. a01020025.png ; $D : \mathfrak { D } \rightarrow A$ ; confidence 0.505

242. a130040367.png ; $\tilde { \Omega }$ ; confidence 0.505

243. f04008051.png ; $P ^ { * } = \{ P _ { X } ^ { * } : x \in X \}$ ; confidence 0.505

244. s09026014.png ; $d X ( t ) = a ( t ) Z ( t ) d t + d Y ( t )$ ; confidence 0.505

245. t12013055.png ; $M = M \Lambda ^ { t }$ ; confidence 0.505

246. t0933407.png ; $S _ { j } ^ { k } = \Gamma _ { i j } ^ { k } - \Gamma _ { j i } ^ { k }$ ; confidence 0.505

247. a13013049.png ; $k$ ; confidence 0.504

248. b01697056.png ; $\frac { 2 ^ { n } } { \operatorname { log } _ { 2 } n \cdot \operatorname { log } _ { 2 } \operatorname { log } _ { 2 } n } < l _ { f } ( n ) < \frac { 2 ^ { n } } { \operatorname { log } _ { 2 } n }$ ; confidence 0.504

249. c120180209.png ; $\varepsilon$ ; confidence 0.504

250. n06796020.png ; $q 2 = 4$ ; confidence 0.504

251. a01018042.png ; $\alpha \neq - 1 , - 2 , \dots ,$ ; confidence 0.504

252. a1100808.png ; $( c _ { x } , c _ { y } ) = c ( - \frac { \xi } { \omega } , - \frac { \eta } { \omega } ) = c ( - \operatorname { cos } \theta , - \operatorname { sin } \theta )$ ; confidence 0.503

253. a110010233.png ; $\lambda$ ; confidence 0.503

254. a110420122.png ; $y \in H$ ; confidence 0.503

255. m064590192.png ; $\alpha p$ ; confidence 0.503

256. a014060256.png ; $A = S ^ { \prime }$ ; confidence 0.502

257. s09173026.png ; $H ^ { n - k } \cap S ^ { k }$ ; confidence 0.502

258. a130040153.png ; $\tilde { \Omega } _ { S 5 } T$ ; confidence 0.501

259. h046280124.png ; $X = \| \left. \begin{array} { l l } { U _ { 1 } } & { U _ { 2 } } \\ { V _ { 1 } } & { V _ { 2 } } \end{array} \right. |$ ; confidence 0.501

260. a130240441.png ; $\beta _ { 1 } , \ldots , \beta _ { p }$ ; confidence 0.501

261. a130240336.png ; $Z = X \Gamma + F$ ; confidence 0.500

262. i050650103.png ; $\Sigma ( M ) = B ^ { + } \cup _ { S ( M ) } B ^ { - }$ ; confidence 0.500

263. i130060185.png ; $< 2 a$ ; confidence 0.500

264. s0901702.png ; $\ldots < t _ { - 1 } < t _ { 0 } \leq 0 < t _ { 1 } < t _ { 2 } <$ ; confidence 0.500

265. a130240356.png ; $E ( Z _ { 1 } ) = 0$ ; confidence 0.500

266. a130240272.png ; $q ^ { - 1 } \sum _ { i = 1 } ^ { q } ( z _ { i } - \zeta _ { i } ) ^ { 2 } / MS _ { e }$ ; confidence 0.500

267. a010210130.png ; $\Omega ( a ) = \operatorname { dim } L ( a / ( \omega ) )$ ; confidence 0.499

268. t1200104.png ; $m$ ; confidence 0.499

269. a110010250.png ; $A x - \hat { \lambda } x = - \delta A x$ ; confidence 0.499

270. w09729017.png ; $A _ { n } ( x _ { 0 } )$ ; confidence 0.499

271. c02229022.png ; $+ \frac { 1 } { 2 } \sum _ { 0 < u \leq \sqrt { x / 3 } } ( [ \sqrt { x - 2 u ^ { 2 } } ] - u ) + O ( \sqrt { x } )$ ; confidence 0.498

272. c023380172.png ; $C ( S ^ { n } )$ ; confidence 0.498

273. a0103302.png ; $| X | ^ { \prime }$ ; confidence 0.497

274. i05104010.png ; $3 a$ ; confidence 0.497

275. k13001035.png ; $f ( \vec { D } ( A ) ) = ( - A ^ { 3 } ) ^ { - \operatorname { Tait } ( \vec { D } ) } \langle D \rangle$ ; confidence 0.497

276. s08300037.png ; $D _ { n } X \subset S ^ { n } \backslash X$ ; confidence 0.497

277. a130240445.png ; $y _ { 1 } , \dots , y _ { p }$ ; confidence 0.497

278. c02292049.png ; $\operatorname { lm } c _ { 3 } = 0$ ; confidence 0.496

279. e12002023.png ; $74$ ; confidence 0.496

280. a12031042.png ; $k$ ; confidence 0.496

281. a1100204.png ; $D = k$ ; confidence 0.495

282. l059490127.png ; $\frac { d z } { d t } = - A ( t ) ^ { * } Z$ ; confidence 0.495

283. a110010283.png ; $i = 0 , \ldots , n - 1$ ; confidence 0.495

284. f04221073.png ; $\tilde { f } : Y \rightarrow X$ ; confidence 0.494

285. a11007018.png ; $\pi _ { p } ( T ) = \operatorname { inf } c$ ; confidence 0.493

286. l11003082.png ; $M ( E ) = \vec { X }$ ; confidence 0.493

287. a130240162.png ; $c ^ { \prime } \beta = \eta$ ; confidence 0.492

288. i05200039.png ; $\Delta ^ { i }$ ; confidence 0.491

289. o070070118.png ; $Y _ { n } = \frac { 1 } { 2 } ( X _ { ( n 1 ) } + X _ { ( n n ) } ) \quad \text { and } \quad Z _ { n } = \frac { n + 1 } { 2 } ( n - 1 ) ( X _ { ( n n ) } - X _ { ( n 1 ) } )$ ; confidence 0.491

290. o07022045.png ; $\int _ { G } x ( t ) y ( t ) d t \leq \| x \| _ { ( M ) } \| y \| _ { ( N ) }$ ; confidence 0.491

291. a01020026.png ; $D ( \phi ) = D ( \phi _ { 1 } ) \ldots D ( \phi _ { n } ) = D ( \psi _ { 1 } ) \ldots D ( \psi _ { m } ) = D ( \psi )$ ; confidence 0.490

292. a12022036.png ; $\sigma _ { ess } ( T )$ ; confidence 0.490

293. n0679601.png ; $12$ ; confidence 0.490

294. p07505047.png ; $( K _ { i } / k )$ ; confidence 0.490

295. b120210102.png ; $\{ \mu _ { i } \} _ { i = 1 } ^ { s - 1 } = \{ w . \lambda \} _ { w \in W ^ { ( k ) } }$ ; confidence 0.489

296. b13023050.png ; $G ( u )$ ; confidence 0.489

297. e120020102.png ; $V \not \equiv W$ ; confidence 0.489

298. m06544062.png ; $d _ { é } ^ { l } < \ldots < d _ { e } ^ { 1 } = d$ ; confidence 0.489

299. s12024033.png ; $h ^ { S * } ( . ) \approx \overline { E } \times ( . )$ ; confidence 0.489

300. t09272013.png ; $\Delta _ { i j } = \Delta _ { j i } = \sqrt { ( x _ { i } - x _ { j } ) ^ { 2 } + ( y _ { i } - y _ { j } ) ^ { 2 } + ( z _ { i } - z _ { j } ) ^ { 2 } }$ ; confidence 0.489

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/11. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/11&oldid=43886