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(AUTOMATIC EDIT of page 14 out of 14 with 197 lines: Updated image/latex database (currently 4097 images latexified; order by Confidence, ascending: False.)
 
(AUTOMATIC EDIT of page 14 out of 35 with 300 lines: Updated image/latex database (currently 10225 images latexified; order by Confidence, ascending: False.)
 
(2 intermediate revisions by the same user not shown)
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== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042060/f042060121.png ; $\mathfrak { g } \otimes \mathfrak { g } \rightarrow U \mathfrak { g } \otimes U \mathfrak { g } \otimes U _ { \mathfrak { g } }$ ; confidence 0.207
+
1. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012380/a01238018.png ; $m \geq n$ ; confidence 0.939
  
2. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010600/a01060019.png ; $H _ { \hat { j } }$ ; confidence 0.205
+
2. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450243.png ; $X _ { \eta }$ ; confidence 0.938
  
3. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016650/b0166503.png ; $2 \int \int _ { G } ( x \frac { \partial y } { \partial u } \frac { \partial y } { \partial v } ) d u d v = \oint _ { \partial G } ( x y d y )$ ; confidence 0.204
+
3. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028068.png ; $y z \in E ( D )$ ; confidence 0.938
  
4. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031380/d031380296.png ; $\sum _ { \sim } D _ { n + 1 } ^ { 0 }$ ; confidence 0.204
+
4. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011480/a0114801.png ; $f _ { x } = 0$ ; confidence 0.938
  
5. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094300/t09430077.png ; $\left. \begin{array} { c c c } { T A } & { \stackrel { T f } { S } } & { T B } \\ { \alpha \downarrow } & { \square } & { \downarrow \beta } \\ { A } & { \vec { f } } & { B } \end{array} \right.$ ; confidence 0.204
+
5. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017046.png ; $\beta ( \alpha , x ) = R \beta _ { 0 } ( \alpha ) \Phi ( x )$ ; confidence 0.938
  
6. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010162.png ; $\hat { \kappa } ( A )$ ; confidence 0.201
+
6. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130010/b130010123.png ; $V _ { n }$ ; confidence 0.938
  
7. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022086.png ; $\alpha _ { j k }$ ; confidence 0.201
+
7. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052017.png ; $\| A ^ { - 1 } \|$ ; confidence 0.938
  
8. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010080/a0100805.png ; $\{ A _ { n _ { 1 } } \ldots n _ { k } \}$ ; confidence 0.200
+
8. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120344.png ; $\Lambda _ { \zeta } F ( z , \zeta )$ ; confidence 0.938
  
9. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020740/c020740146.png ; $\alpha \rightarrow \dot { b }$ ; confidence 0.200
+
9. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a01146075.png ; $C ( X ) / C _ { hom } ( X )$ ; confidence 0.938
  
10. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110640/a1106404.png ; $S U M \leftarrow + \backslash B \leftarrow 04 ^ { - 68 < 71 ^ { - } 29.9 }$ ; confidence 0.199
+
10. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024073.png ; $\omega P _ { i } P _ { j }$ ; confidence 0.938
  
11. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012970/a012970198.png ; $\hat { W } \square _ { \infty } ^ { \gamma }$ ; confidence 0.199
+
11. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130220/b13022030.png ; $L _ { p } ( T )$ ; confidence 0.938
  
12. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010273.png ; $( A \otimes I + I \otimes B ^ { T } ) \operatorname { vect } ( X ) = \operatorname { vect } ( C )$ ; confidence 0.199
+
12. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081770/r08177046.png ; $x ^ { T } ( t _ { 1 } ) \Phi x ( t _ { 1 } ) + \int _ { t _ { 0 } } ^ { t _ { 1 } } [ x ^ { T } ( t ) M ( t ) x ( t ) + u ^ { T } ( t ) N ( t ) u ( t ) ] d t$ ; confidence 0.938
  
13. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004045.png ; $a$ ; confidence 0.199
+
13. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680145.png ; $\alpha _ { i j }$ ; confidence 0.938
  
14. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033420/d03342015.png ; $\sigma _ { k }$ ; confidence 0.198
+
14. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013047.png ; $I / 2 - h _ { \theta } ^ { * }$ ; confidence 0.938
  
15. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021090.png ; $A _ { k } ^ { \prime } = \int _ { a _ { k } } \omega _ { 3 } , \quad B _ { k } ^ { \prime } = \int _ { b _ { k } } \omega _ { 3 } , \quad k = 1 , \ldots , g$ ; confidence 0.197
+
15. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h047690110.png ; $< 6$ ; confidence 0.938
  
16. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092470/t092470182.png ; $e _ { v } \leq \mathfrak { e } _ { v } + 1$ ; confidence 0.197
+
16. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087060/s08706039.png ; $S K _ { 1 }$ ; confidence 0.938
  
17. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120190/e12019037.png ; $l _ { x }$ ; confidence 0.196
+
17. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001063.png ; $| \delta x | \leq | A ^ { - 1 } \delta A | | x | + | A ^ { - 1 } \delta A | | \delta x | + | A ^ { - 1 } \delta b |$ ; confidence 0.937
  
18. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023150/c02315041.png ; $f : S ^ { m } \rightarrow S ^ { n }$ ; confidence 0.195
+
18. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004066.png ; $d _ { 1 } \geq 2$ ; confidence 0.937
  
19. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059160/l059160187.png ; $\dot { u } = A _ { n } u$ ; confidence 0.195
+
19. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120200/a12020029.png ; $p ( t ) = t ^ { N } - 1$ ; confidence 0.937
  
20. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001010.png ; $\delta _ { a }$ ; confidence 0.195
+
20. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b0153903.png ; $( \Theta , B _ { \Theta } )$ ; confidence 0.937
  
21. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020040.png ; $Z ^ { x } , B ^ { x } , H ^ { x }$ ; confidence 0.194
+
21. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024670/c02467038.png ; $D _ { 4 }$ ; confidence 0.937
  
22. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022046.png ; $v$ ; confidence 0.193
+
22. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046028.png ; $\rho ( x , h ) = \operatorname { sup } \{ | \xi | : x + \xi h \in D \}$ ; confidence 0.937
  
23. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120010/e1200103.png ; $A \stackrel { f } { \rightarrow } B = A \stackrel { é } { \rightarrow } f [ A ] \stackrel { m } { \rightarrow } B$ ; confidence 0.193
+
23. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012067.png ; $\{ \nu _ { k } \} \cup \{ \mu _ { n } \} = \{ n \}$ ; confidence 0.937
  
24. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083330/s0833306.png ; $\phi _ { \mathscr { A } } ( . )$ ; confidence 0.193
+
24. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010141.png ; $7$ ; confidence 0.937
  
25. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010020/a0100205.png ; $P = \cup _ { n _ { 1 } , \ldots , n _ { k } , \ldots } \cap _ { k = 1 } ^ { \infty } E _ { n _ { 1 } } \square \ldots x _ { k }$ ; confidence 0.192
+
25. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044970/g04497028.png ; $E ^ { n } \times R$ ; confidence 0.937
  
26. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539020.png ; $\rho ( \theta , \delta ) = \int _ { Y } L ( \theta , \delta ( x ) ) P _ { \theta } ( d x )$ ; confidence 0.192
+
26. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070290/o07029017.png ; $\Delta = \alpha _ { 2 } c ( b ) - \beta _ { 2 } s ( b ) \neq 0$ ; confidence 0.937
  
27. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110490/c1104902.png ; $\sqrt { 2 }$ ; confidence 0.191
+
27. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072950/p07295010.png ; $w ( z ) = \int _ { \gamma } ( t - z ) ^ { \mu + n - 1 } u ( t ) d t$ ; confidence 0.937
  
28. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120100/l12010011.png ; $\left\{ \begin{array} { l l } { \gamma \geq \frac { 1 } { 2 } } & { \text { forn } = 1 } \\ { \gamma > 0 } & { \text { forn } = 2 } \\ { \gamma \geq 0 } & { \text { forn } \geq 3 } \end{array} \right.$ ; confidence 0.191
+
28. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075800/p07580013.png ; $\square ^ { n - 1 } R _ { n }$ ; confidence 0.937
  
29. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110120/p110120432.png ; $\operatorname { limsup } _ { n \rightarrow + \infty } \frac { 1 } { n } \operatorname { log } + P _ { N } ( f ) \geq h ( f )$ ; confidence 0.191
+
29. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082040/r08204012.png ; $a _ { 0 } ( z ) \neq 0$ ; confidence 0.937
  
30. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080190/r08019038.png ; $\{ f ^ { t } | \Sigma _ { X } \} _ { t \in R }$ ; confidence 0.191
+
30. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010950/a01095087.png ; $\omega ^ { i } = d x ^ { i } , \quad \omega _ { j } ^ { i } = \Gamma _ { j k } ^ { i } d x ^ { k }$ ; confidence 0.937
  
31. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004059.png ; $\phi _ { L } ^ { * } \hat { \lambda } = d _ { 1 } d _ { 2 } \lambda \Leftrightarrow \phi _ { L } \phi _ { L } = d _ { 1 } d _ { 2 } id A$ ; confidence 0.191
+
31. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004077.png ; $A = C ^ { 2 } / \Lambda$ ; confidence 0.937
  
32. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010125.png ; $\dot { i } \leq n$ ; confidence 0.190
+
32. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a120160177.png ; $x _ { j t } , y _ { i t } \geq 0$ ; confidence 0.937
  
33. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074710/p07471055.png ; $g _ { 0 } g ^ { \prime } \in G$ ; confidence 0.189
+
33. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640115.png ; $( K _ { V } ^ { 2 } ) > 0$ ; confidence 0.937
  
34. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040133.png ; $\Lambda _ { D } T$ ; confidence 0.189
+
34. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110170/a11017015.png ; $\Omega _ { t }$ ; confidence 0.937
  
35. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026010/c026010308.png ; $v _ { ( E ) } = v$ ; confidence 0.188
+
35. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022180/c02218013.png ; $r + 1$ ; confidence 0.937
  
36. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010100.png ; $O = G / \operatorname { Sp } ( 1 ) . K$ ; confidence 0.187
+
36. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590376.png ; $x _ { 0 } ^ { \mu - 1 } + x _ { 0 } x _ { 1 } ^ { 2 } + x _ { 2 } ^ { 2 } + \ldots + x _ { n } ^ { 2 } = 0$ ; confidence 0.937
  
37. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030060/d03006013.png ; $+ \frac { 1 } { 2 \alpha } \int _ { x - w t } ^ { x + c t } \psi ( \xi ) d \xi + \frac { 1 } { 2 } [ \phi ( x + a t ) + \phi ( x - a t ) ]$ ; confidence 0.187
+
37. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040216.png ; $A / ( - 1 ) _ { A }$ ; confidence 0.936
  
38. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046370/h04637012.png ; $\int _ { \alpha } ^ { b } \theta ^ { p } ( x ) d x \leq 2 ( \frac { p } { p - 1 } ) ^ { p } \int _ { a } ^ { b } f ^ { p } ( x ) d x$ ; confidence 0.187
+
38. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164084.png ; $H ^ { i } ( V , Z )$ ; confidence 0.936
  
39. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120010/c12001098.png ; $\rho _ { j \overline { k } } = \partial ^ { 2 } \rho / \partial z _ { j } \partial z _ { k }$ ; confidence 0.185
+
39. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024025.png ; $y , \beta , e$ ; confidence 0.936
  
40. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g043780231.png ; $\overline { h } ( X ) = \operatorname { lim } _ { h } h ^ { * } ( X _ { \alpha } )$ ; confidence 0.185
+
40. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011480/a011480114.png ; $b _ { n }$ ; confidence 0.936
  
41. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073460/p07346086.png ; $P ^ { \perp } = \cap _ { v \in P } v ^ { \perp } = \emptyset$ ; confidence 0.185
+
41. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005087.png ; $| \prod _ { j = 1 } ^ { k } ( \lambda - A ( t _ { j } ) ) ^ { - 1 } \| _ { X } \leq M ( \lambda - \beta ) ^ { - k }$ ; confidence 0.936
  
42. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013090.png ; $N$ ; confidence 0.183
+
42. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040182.png ; $b \in G$ ; confidence 0.936
  
43. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023530/c023530133.png ; $\Pi ^ { N } \tau$ ; confidence 0.183
+
43. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008035.png ; $s , t \in R$ ; confidence 0.936
  
44. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120250/s1202506.png ; $h _ { n } = \int _ { a } ^ { b } x ^ { n } h ( x ) d x$ ; confidence 0.183
+
44. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058680/l05868024.png ; $\operatorname { exp } : \mathfrak { h } \rightarrow G$ ; confidence 0.936
  
45. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001088.png ; $\hat { v } ^ { ( S ) }$ ; confidence 0.182
+
45. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l058590136.png ; $T ( n ) \subset G L ( n , C )$ ; confidence 0.936
  
46. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025970/c02597042.png ; $e ^ { i } ( e _ { j } ) = \delta _ { j } ^ { s }$ ; confidence 0.182
+
46. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420154.png ; $K _ { 0 }$ ; confidence 0.936
  
47. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a0102909.png ; $\pi X : \alpha X \rightarrow X$ ; confidence 0.180
+
47. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040196.png ; $\varphi _ { L } : A \rightarrow P ^ { 4 }$ ; confidence 0.936
  
48. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240282.png ; $\hat { \psi } = \sum _ { i = 1 } ^ { q } d _ { i } z _ { i }$ ; confidence 0.180
+
48. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020650/c0206506.png ; $1 / \mu = d S / d \sigma$ ; confidence 0.936
  
49. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043280/g0432804.png ; $\hat { K } _ { i }$ ; confidence 0.180
+
49. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120270/c1202706.png ; $t \mapsto \gamma ( t ) = \operatorname { exp } _ { p } ( t v )$ ; confidence 0.936
  
50. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043340/g04334048.png ; $\sum _ { \Sigma } ^ { 3 } \square ^ { i \alpha } \neq 0$ ; confidence 0.180
+
50. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064990/m06499012.png ; $f : M \rightarrow R$ ; confidence 0.936
  
51. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011970/a01197046.png ; $U - \text { a.p. } \subset S ^ { p } - \text { a.p. } \subset W ^ { p } - \text { a.p. } \subset B ^ { p } - \text { a.p. } \quad p \geq 1$ ; confidence 0.179
+
51. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o13001044.png ; $F : L ^ { 2 } ( D ^ { \prime } ) \rightarrow L ^ { 2 } ( R ^ { 3 } )$ ; confidence 0.936
  
52. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120460/b12046037.png ; $( \oplus _ { b } G _ { E B } b )$ ; confidence 0.179
+
52. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070010/o07001011.png ; $G / G _ { X }$ ; confidence 0.936
  
53. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120040/n1200405.png ; $A _ { i \psi }$ ; confidence 0.179
+
53. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120080/t12008015.png ; $O _ { S } ^ { * }$ ; confidence 0.936
  
54. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072850/p0728502.png ; $_ { k }$ ; confidence 0.179
+
54. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096670/v09667018.png ; $P ^ { 2 r - k }$ ; confidence 0.936
  
55. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040129.png ; $\tilde { \varphi } _ { L } : \tilde { A } \rightarrow P ^ { 1 }$ ; confidence 0.179
+
55. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007098.png ; $2 m$ ; confidence 0.936
  
56. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030620/d03062019.png ; $\alpha \in C \cup \{ \infty \}$ ; confidence 0.176
+
56. https://www.encyclopediaofmath.org/legacyimages/w/w098/w098100/w098100182.png ; $p ( A )$ ; confidence 0.936
  
57. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001030.png ; $\frac { \delta x } { \| x \| } \leq \frac { k ( A ) } { 1 - k ( A ) \frac { \| \delta A \| } { \| A \| } } ( \frac { \| \delta A \| } { \| A \| } + \frac { \| \delta b \| } { \| b \| } )$ ; confidence 0.176
+
57. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010218.png ; $| \delta \lambda _ { i } | / \| \delta A \|$ ; confidence 0.936
  
58. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013083.png ; $C$ ; confidence 0.175
+
58. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240403.png ; $SS _ { e }$ ; confidence 0.936
  
59. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210131.png ; $L ( \mathfrak { a } ^ { - 1 } ) - \operatorname { dim } \Omega ( \mathfrak { a } ) = d [ \mathfrak { a } ] - \mathfrak { g } + 1$ ; confidence 0.174
+
59. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090278.png ; $\Lambda \supseteq \Phi$ ; confidence 0.935
  
60. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013033.png ; $\phi - ^ { 1 } ( \frac { \partial } { \partial x } - P _ { 0 z } ) \phi _ { - } = \frac { \partial } { \partial x } - P$ ; confidence 0.173
+
60. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g13002042.png ; $\notin \{ 0,1 \}$ ; confidence 0.935
  
61. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110160/c11016063.png ; $( a b \alpha ) ^ { \alpha } = \alpha ^ { \alpha } b ^ { \alpha } \alpha ^ { \alpha }$ ; confidence 0.173
+
61. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a011300105.png ; $A = A$ ; confidence 0.935
  
62. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021470/c02147033.png ; $\tilde { Y } \square _ { j } ^ { ( k ) } \in Y _ { j }$ ; confidence 0.172
+
62. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001088.png ; $\leq \frac { \| B r \| } { 1 - \| I - B A \| }$ ; confidence 0.935
  
63. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110240/h11024025.png ; $n _ { s } + n _ { u } = n$ ; confidence 0.172
+
63. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004068.png ; $d _ { 1 } \geq 3$ ; confidence 0.935
  
64. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080680/r08068010.png ; $x \frac { \operatorname { lim } _ { x \rightarrow D } u ( x ) = f ( y _ { 0 } ) } { x \in D }$ ; confidence 0.172
+
64. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011480/a011480110.png ; $g ( x ) = b _ { 0 } x ^ { n } + b _ { 1 } x ^ { n - 1 } + \ldots + b _ { n }$ ; confidence 0.935
  
65. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087030/s08703096.png ; $\operatorname { max } _ { n \atop n } \| u ^ { n } \| _ { H } \leq e ^ { C _ { 1 } T } \{ \| \phi \| _ { H } + C _ { 0 } \sum _ { n } \tau \| f ^ { n + 1 } \| _ { H } \}$ ; confidence 0.172
+
65. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007059.png ; $< x \operatorname { exp } ( - \frac { 1 } { 25 } ( \operatorname { log } x \operatorname { log } \operatorname { log } x ) ^ { 1 / 2 } )$ ; confidence 0.935
  
66. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022031.png ; $\mathfrak { c } _ { 1 } , \ldots , \mathfrak { c } _ { p }$ ; confidence 0.172
+
66. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l05859081.png ; $L ( n , R )$ ; confidence 0.935
  
67. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022012.png ; $w ^ { r } v$ ; confidence 0.171
+
67. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130150/c1301504.png ; $C ^ { \infty } ( D ( \Omega ) )$ ; confidence 0.935
  
68. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012075.png ; $a _ { U _ { 2 } }$ ; confidence 0.171
+
68. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073330/p07333012.png ; $d S _ { n }$ ; confidence 0.935
  
69. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010420/a0104202.png ; $E ( X _ { 1 } ) = 0 \quad \text { and } \quad E ( X _ { n } + 1 | X _ { 1 } , \ldots , X _ { n } ) = 0$ ; confidence 0.170
+
69. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054340/j05434031.png ; $+ \operatorname { rk } ( A - \lambda E ) ^ { m + 1 }$ ; confidence 0.935
  
70. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033570/d0335708.png ; $\sum _ { i \in I } \prod _ { j \in J ( i ) } \alpha _ { i j } = \prod _ { \phi \in \Phi } \sum _ { i \in I } \alpha _ { i \phi ( i ) }$ ; confidence 0.170
+
70. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024059.png ; $( i , j )$ ; confidence 0.935
  
71. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024067.png ; $e _ { j k }$ ; confidence 0.169
+
71. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110490/a1104906.png ; $L _ { 0 } ( X ) = \{ A \in L ( X ) : \operatorname { dom } A = X \}$ ; confidence 0.935
  
72. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a11068093.png ; $L f \theta$ ; confidence 0.169
+
72. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w12009071.png ; $t ^ { \lambda }$ ; confidence 0.935
  
73. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a0101805.png ; $\alpha _ { k } , b , z$ ; confidence 0.168
+
73. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018021.png ; $20$ ; confidence 0.935
  
74. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087270/s08727063.png ; $V _ { x } 0 ( \lambda ) \sim \operatorname { exp } [ i \lambda S ( x ^ { 0 } ) ] \sum _ { k = 0 } ^ { \infty } ( \sum _ { l = 0 } ^ { N } \alpha _ { k l } \lambda ^ { - r _ { k } } ( \operatorname { ln } \lambda ) ^ { l } \}$ ; confidence 0.167
+
74. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010820/a01082018.png ; $H _ { C } ( F ( X ) , Y )$ ; confidence 0.935
  
75. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087790/s08779013.png ; $RP ^ { \infty }$ ; confidence 0.165
+
75. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120299.png ; $A ( F )$ ; confidence 0.935
  
76. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010105.png ; $SU ( m ) / S ( U ( m - 2 ) \times U ( 1 ) ) , SO ( k ) / SO ( k - 4 ) \times Sp ( 1 )$ ; confidence 0.164
+
76. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690029.png ; $C ^ { i } ( \mathfrak { U } , F )$ ; confidence 0.935
  
77. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065030/m06503013.png ; $\tilde { y } = \alpha _ { 21 } x + \alpha _ { 22 } y + \alpha _ { 23 } z + b$ ; confidence 0.163
+
77. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054270/j05427085.png ; $[ \mathfrak { g } - 1 , p ]$ ; confidence 0.935
  
78. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010150.png ; $\frac { \| ( A + \delta A ) ^ { + } - A ^ { + } \| } { \| A ^ { + } \| _ { 2 } } \leq \mu \frac { k ( A ) \frac { \| \delta A \| _ { 2 } } { \| A \| _ { 2 } } } { 1 - k ( A ) \frac { \| \delta A \| _ { 2 } } { \| ^ { A } \| _ { 2 } } }$ ; confidence 0.162
+
78. https://www.encyclopediaofmath.org/legacyimages/w/w098/w098100/w098100184.png ; $p ^ { 0 } , p ^ { 1 } , p ^ { 2 } ,$ ; confidence 0.934
  
79. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002017.png ; $N$ ; confidence 0.161
+
79. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120479.png ; $f \in F ^ { \prime }$ ; confidence 0.934
  
80. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013058.png ; $s = \sum _ { i > 0 } C \lambda ^ { i } \left( \begin{array} { c c } { - 1 } & { 0 } \\ { 0 } & { 1 } \end{array} \right) \oplus \sum _ { i > 0 } C \lambda ^ { - i } \left( \begin{array} { c c } { - 1 } & { 0 } \\ { 0 } & { 1 } \end{array} \right) \oplus C _ { i }$ ; confidence 0.161
+
80. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590381.png ; $x _ { 0 } ^ { 3 } x _ { 1 } + x _ { 1 } ^ { 3 } + x _ { 2 } ^ { 2 } + \ldots + x _ { n } ^ { 2 } = 0$ ; confidence 0.934
  
81. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050790/i05079039.png ; $| \alpha _ { 1 } + \ldots + \alpha _ { n } | \leq | \alpha _ { 1 } | + \ldots + | \alpha _ { n } |$ ; confidence 0.160
+
81. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032490/d03249017.png ; $p \subset q$ ; confidence 0.934
  
82. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240407.png ; $M _ { E } = \sum _ { i j k } ( y _ { i j k } - y _ { i j . } ) ^ { \prime } ( y _ { i j k } - y _ { i j } )$ ; confidence 0.159
+
82. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a0112101.png ; $\operatorname { Ai } ( x ) = \frac { 1 } { \pi } \int _ { 0 } ^ { \infty } \operatorname { cos } ( \frac { t ^ { 3 } } { 3 } + x t ) d t$ ; confidence 0.934
  
83. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020054.png ; $\left. \begin{array} { r c c } { R } & { \stackrel { \mu \pi _ { 1 } } { \rightarrow } } & { A } \\ { \mu \pi _ { 2 } \downarrow } & { \square } & { \downarrow \alpha } \\ { B } & { \rightarrow } & { X } \end{array} \right.$ ; confidence 0.157
+
83. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054078.png ; $\{ \alpha , b \} _ { p } = ( - 1 ) ^ { \alpha \beta } r ^ { \beta } s ^ { \alpha }$ ; confidence 0.934
  
84. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040255.png ; $D _ { c } = A _ { c } - A _ { c } ^ { \varnothing }$ ; confidence 0.157
+
84. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020230/c02023043.png ; $X \backslash K _ { X }$ ; confidence 0.934
  
85. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013013.png ; $\frac { \partial } { \partial t _ { m } } P - \frac { \partial } { \partial x } Q ^ { ( m ) } + [ P , Q ^ { ( r ) } ] = 0 \Leftrightarrow$ ; confidence 0.156
+
85. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120300/d1203009.png ; $Y ( t ) \in R ^ { m }$ ; confidence 0.934
  
86. https://www.encyclopediaofmath.org/legacyimages/z/z099/z099250/z09925023.png ; $001 c 23 + c 02 c 31 + c 03 c 12 \neq 0$ ; confidence 0.156
+
86. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040850/f040850122.png ; $A \rightarrow w$ ; confidence 0.934
  
87. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001025.png ; $\| \delta x \| \leq \| A ^ { - 1 } \delta A \| \| _ { x } \| + \| A ^ { - 1 } \delta A \| _ { \| } \delta x \| + \| A ^ { - 1 } \delta b \|$ ; confidence 0.156
+
87. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044350/g04435074.png ; $d ( \Lambda ) = \Delta ( \mathfrak { M } )$ ; confidence 0.934
  
88. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057590/l05759015.png ; $\sqrt { 2 }$ ; confidence 0.155
+
88. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110200/h11020058.png ; $\Psi ( y _ { n } ) \subseteq \Psi ( y _ { 0 } )$ ; confidence 0.934
  
89. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022690/c02269052.png ; $\Delta = \tilde { A } + \hat { B } - \hat { C }$ ; confidence 0.152
+
89. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060830/l06083045.png ; $b \in Q$ ; confidence 0.934
  
90. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040102.png ; $G$ ; confidence 0.152
+
90. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a011490172.png ; $y \in K$ ; confidence 0.934
  
91. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010108.png ; $p = \operatorname { max } _ { 1 \leq i \leq n } \frac { | b _ { i } - \sum _ { j = 1 } ^ { n } \alpha _ { i } x _ { j } | } { B N + A N \cdot \sum _ { j = 1 } ^ { n } | x _ { j } | }$ ; confidence 0.152
+
91. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024032.png ; $m \times p$ ; confidence 0.934
  
92. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600198.png ; $N _ { 0 }$ ; confidence 0.151
+
92. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450163.png ; $( X )$ ; confidence 0.934
  
93. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240314.png ; $\hat { \beta } = ( X ^ { \prime } X ) ^ { - 1 } X ^ { \prime } y$ ; confidence 0.148
+
93. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a011380118.png ; $\mathfrak { A } ^ { * } = \mathfrak { B } ^ { * }$ ; confidence 0.934
  
94. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020061.png ; $H _ { 2 / / } \otimes l _ { 1 } ( A , B )$ ; confidence 0.148
+
94. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110570/b11057025.png ; $R ^ { 2 x }$ ; confidence 0.933
  
95. https://www.encyclopediaofmath.org/legacyimages/l/l061/l061130/l06113042.png ; $\| \alpha _ { j } ^ { i } \|$ ; confidence 0.148
+
95. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a01130094.png ; $\Delta _ { i } \neq 0$ ; confidence 0.933
  
96. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o13006052.png ; $\overline { \gamma } = \tilde { \gamma } ^ { \prime \prime }$ ; confidence 0.147
+
96. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040798.png ; $f : A \rightarrow C$ ; confidence 0.933
  
97. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076800/q07680082.png ; $\{ \tau _ { j } ^ { e } \} \in G _ { I }$ ; confidence 0.146
+
97. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121029.png ; $z | \rightarrow \infty$ ; confidence 0.933
  
98. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010118.png ; $A \in R ^ { m \times n }$ ; confidence 0.144
+
98. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015690/b01569020.png ; $X _ { 1 } + \ldots + X _ { x }$ ; confidence 0.933
  
99. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020084.png ; $r$ ; confidence 0.144
+
99. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a011380194.png ; $\& , \vee , \overline { \square }$ ; confidence 0.933
  
100. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012970/a01297077.png ; $\operatorname { inf } _ { u \in \mathfrak { N } } \| x - u \| = \operatorname { sup } _ { F \in X ^ { * } } [ F ( x ) - \operatorname { sup } _ { u \in \mathfrak { N } } F ( u ) ]$ ; confidence 0.144
+
100. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029042.png ; $x ( \xi )$ ; confidence 0.933
  
101. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010164.png ; $\tilde { \varepsilon } [ ( 1 + \eta \tilde { k } ) \alpha + \beta \gamma ]$ ; confidence 0.144
+
101. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013054.png ; $t _ { n }$ ; confidence 0.933
  
102. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g043780134.png ; $F = p t$ ; confidence 0.143
+
102. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026870/c026870129.png ; $( \nabla _ { X } U ) _ { p }$ ; confidence 0.933
  
103. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i050230164.png ; $H _ { p } ^ { r } ( R ^ { n } ) \rightarrow H _ { p ^ { \prime } } ^ { \rho ^ { \prime } } ( R ^ { m } ) \rightarrow H _ { p l ^ { \prime \prime } } ^ { \rho ^ { \prime \prime } } ( R ^ { m ^ { \prime \prime } } )$ ; confidence 0.143
+
103. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032060/d03206019.png ; $\sum _ { n = 1 } ^ { \infty } | x _ { n } ( t ) |$ ; confidence 0.933
  
104. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001028.png ; $\{ I ^ { 1 } , R ^ { 2 } , \hat { P } \}$ ; confidence 0.143
+
104. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120030/k12003036.png ; $F _ { M } : G \rightarrow C ^ { * }$ ; confidence 0.933
  
105. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830267.png ; $\theta = \Pi _ { i } \partial _ { i } ^ { e _ { i } ^ { e _ { i } } }$ ; confidence 0.142
+
105. https://www.encyclopediaofmath.org/legacyimages/o/o120/o120020/o1200204.png ; $\alpha = 1 / 2$ ; confidence 0.933
  
106. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047740/h047740112.png ; $R ) = r . g \operatorname { lowdim } ( R ) = \operatorname { glowdim } ( R )$ ; confidence 0.142
+
106. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087780/s08778069.png ; $x [ M ^ { n } ] = \alpha ( x )$ ; confidence 0.933
  
107. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240331.png ; $p _ { 1 }$ ; confidence 0.141
+
107. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010330/a0103309.png ; $\beta _ { r } = \int _ { - \infty } ^ { + \infty } | x | ^ { r } d F ( x )$ ; confidence 0.933
  
108. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086770/s08677096.png ; $5 + 7 n$ ; confidence 0.141
+
108. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a11030039.png ; $\operatorname { deg } \alpha _ { i } = 2 i - 1$ ; confidence 0.933
  
109. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013034.png ; $\phi _ { - } ^ { - 1 } \frac { \partial } { \partial t _ { \mu } } - Q _ { 0 } z ^ { \mu } \phi _ { - } = \frac { \partial } { \partial t _ { \mu } } - Q ^ { ( n ) }$ ; confidence 0.140
+
109. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025930/c02593042.png ; $\phi ( g )$ ; confidence 0.933
  
110. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010080/a0100807.png ; $A _ { x } _ { 1 } \ldots x _ { k } x _ { k + 1 } \subset A _ { x _ { 1 } } \ldots x _ { k }$ ; confidence 0.139
+
110. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120110/a1201109.png ; $\varphi ( \alpha , b , 3 )$ ; confidence 0.933
  
111. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086330/s08633021.png ; $\sigma _ { d x } ( A )$ ; confidence 0.138
+
111. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150075.png ; $a , b , c$ ; confidence 0.933
  
112. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013038.png ; $\frac { \partial } { \partial t _ { n } } Q = [ Q ^ { ( n ) } , Q ] , n \geq 1$ ; confidence 0.137
+
112. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011050/a01105032.png ; $f ^ { - 1 } ( S _ { \alpha } )$ ; confidence 0.933
  
113. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a13001017.png ; $3 + 5$ ; confidence 0.136
+
113. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121056.png ; $x _ { 1 } ( \alpha )$ ; confidence 0.933
  
114. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120090/l12009013.png ; $Q _ { A }$ ; confidence 0.136
+
114. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a01149044.png ; $f _ { 0 } ^ { 1 } ( x ) , \ldots , f _ { 0 } ^ { k } ( x )$ ; confidence 0.933
  
115. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240289.png ; $\hat { \psi } \pm S \cdot \hat { \sigma } \hat { \psi }$ ; confidence 0.134
+
115. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058760/l0587606.png ; $\{ e \} \times \Omega$ ; confidence 0.933
  
116. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130120/w13012027.png ; $T _ { W \alpha } = T$ ; confidence 0.134
+
116. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060129.png ; $90$ ; confidence 0.933
  
117. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120342.png ; $O \subset A _ { R }$ ; confidence 0.132
+
117. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008011.png ; $U \leq f ( X ) / h ( X )$ ; confidence 0.932
  
118. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059110/l05911037.png ; $p i n$ ; confidence 0.132
+
118. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021061.png ; $\omega ^ { \prime } = \omega - A _ { 1 } \phi _ { 1 } - \ldots - A _ { g } \phi _ { g }$ ; confidence 0.932
  
119. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006023.png ; $= \frac { 1 } { 2 } \operatorname { sup } \sum _ { i = 1 } ^ { I } \sum _ { j = 1 } ^ { J } \operatorname { Pr } ( A _ { i } \cap B _ { j } ) - P ( A _ { i } ) P ( B _ { j } )$ ; confidence 0.132
+
119. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q07631068.png ; $( g , \phi )$ ; confidence 0.932
  
120. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110120/p110120214.png ; $D _ { 0 } f _ { x } = \left( \begin{array} { c c c } { A _ { 1 } ( x ) } & { \square } & { \square } \\ { \square } & { \ddots } & { \square } \\ { \square } & { \square } & { A _ { \xi } ( x ) ( x ) } \end{array} \right)$ ; confidence 0.131
+
120. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082082.png ; $F _ { u } ( X , Y )$ ; confidence 0.932
  
121. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a12031018.png ; $22 ^ { x }$ ; confidence 0.131
+
121. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001038.png ; $\eta ^ { \alpha } ( Y ) = g ( \xi ^ { \alpha } , Y )$ ; confidence 0.932
  
122. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110110/d11011084.png ; $L \cup O$ ; confidence 0.130
+
122. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013046.png ; $\frac { \partial } { \partial t _ { k } } F _ { i j } = \frac { \partial } { \partial t _ { i } } F _ { j k }$ ; confidence 0.932
  
123. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081980/r08198090.png ; $\operatorname { ch } ( f _ { 1 } ( x ) ) = f * ( \operatorname { ch } ( x ) \operatorname { td } ( T _ { f } ) )$ ; confidence 0.130
+
123. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020950/c0209509.png ; $u ( x _ { 0 } ) = u _ { 0 }$ ; confidence 0.932
  
124. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060640/l0606404.png ; $\operatorname { res } _ { \mathscr { d } } \frac { f ^ { \prime } ( z ) } { f ( z ) }$ ; confidence 0.129
+
124. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130040/r13004063.png ; $u _ { 1 } = | \frac { \partial u } { \partial n } | = 0$ ; confidence 0.932
  
125. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001065.png ; $0$ ; confidence 0.129
+
125. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130130/r13013012.png ; $P _ { \sigma } = \frac { 1 } { 2 \pi i } \int _ { \Gamma } ( \lambda - A ) ^ { - 1 } d \lambda$ ; confidence 0.932
  
126. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064180/m064180110.png ; $\mathfrak { k } _ { n } | _ { 0 } = 0$ ; confidence 0.128
+
126. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091390/s0913909.png ; $\frac { x ^ { 2 } } { p } - \frac { y ^ { 2 } } { q } = 2 z$ ; confidence 0.932
  
127. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001026.png ; $\xi ^ { \mathscr { L } } = I ^ { \mathscr { L } } ( \partial _ { r } )$ ; confidence 0.127
+
127. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t12005046.png ; $d f _ { x } : R ^ { n } \rightarrow R ^ { p }$ ; confidence 0.932
  
128. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130040/g130040116.png ; $v \wedge \wedge \ldots \wedge v _ { m }$ ; confidence 0.124
+
128. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l058590189.png ; $x , y , x y \in U _ { 1 }$ ; confidence 0.932
  
129. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026010/c026010134.png ; $\mathfrak { A } _ { E }$ ; confidence 0.121
+
129. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130170/a13017022.png ; $\Pi \circ B$ ; confidence 0.932
  
130. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010430/a01043022.png ; $p _ { k A } ^ { * } ( t ) = 1 , \quad h \in H ; \quad p _ { i A } ^ { * } ( t ) = 0 , \quad i , h \in H , i \neq h$ ; confidence 0.120
+
130. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a011380183.png ; $f _ { 3 } , f _ { 4 }$ ; confidence 0.931
  
131. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020188.png ; $t ^ { * } : H ^ { N } ( S ^ { N } ) \rightarrow H ^ { N } ( \Gamma _ { S ^ { n } } )$ ; confidence 0.119
+
131. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073700/p07370068.png ; $k [ G ]$ ; confidence 0.931
  
132. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040336.png ; $E ( x _ { 0 } , y _ { 0 } ) , \ldots , E ( x _ { x } - 1 , y _ { n } - 1 ) \operatorname { t } _ { D }$ ; confidence 0.118
+
132. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a01138063.png ; $\infty$ ; confidence 0.931
  
133. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t130140169.png ; $q _ { A }$ ; confidence 0.118
+
133. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590517.png ; $G \backslash H$ ; confidence 0.931
  
134. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040397.png ; $\operatorname { Mod } ^ { * } S = \operatorname { Mod } ^ { * } L _ { D }$ ; confidence 0.117
+
134. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110160/b11016019.png ; $f ( x ) = a x + b$ ; confidence 0.931
  
135. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032060/d03206068.png ; $| x ( t ( t ) ) \| \leq \rho$ ; confidence 0.117
+
135. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110330/c1103309.png ; $p _ { i } \in S$ ; confidence 0.931
  
136. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020740/c020740318.png ; $Z [ X _ { é } : e \in E$ ; confidence 0.114
+
136. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091100/s0911009.png ; $\lambda _ { n } = 1 / ( n + 1 ) ^ { s }$ ; confidence 0.931
  
137. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010430/a01043021.png ; $p _ { i A } ^ { * } ( t + 1 ) = \sum _ { j \in S } p _ { j } p _ { i A } ^ { * } ( t ) , \quad t \geq 0 , \quad i \in S \backslash H , \quad h \in H$ ; confidence 0.114
+
137. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150306.png ; $= C$ ; confidence 0.931
  
138. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030210/d03021016.png ; $2$ ; confidence 0.110
+
138. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650493.png ; $\mathfrak { F } ( d _ { 1 } / \Phi , \ldots , d _ { k } / \Phi ) = T \Leftrightarrow$ ; confidence 0.931
  
139. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010430/a01043026.png ; $q _ { k h } = 1 , \quad h \in H ; \quad q _ { k } = 0 , \quad i , h \in H , i \neq h$ ; confidence 0.109
+
139. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050129.png ; $\frac { \partial u } { \partial t } + \sum _ { j = 1 } ^ { m } \alpha _ { j } ( t , u ) \frac { \partial u } { \partial x _ { j } } = f ( t , u )$ ; confidence 0.931
  
140. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040548.png ; $v$ ; confidence 0.106
+
140. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095410/u09541040.png ; $U = U _ { 1 } \supset \ldots \supset U _ { s } = \{ e \}$ ; confidence 0.931
  
141. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046080/h04608018.png ; $| x _ { \mathfrak { j } } | \leq M$ ; confidence 0.106
+
141. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a01130062.png ; $\gamma ( x )$ ; confidence 0.931
  
142. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050850/i05085060.png ; $A < \operatorname { ln } d X$ ; confidence 0.106
+
142. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001077.png ; $\delta x = A ^ { - 1 } r$ ; confidence 0.931
  
143. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093770/t09377057.png ; $\mathfrak { A } f ( x ) = \operatorname { lim } _ { U ! x } [ \frac { E _ { x } f ( x _ { \tau } ) - f ( x ) } { E _ { x } \tau } ]$ ; confidence 0.104
+
143. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a01138032.png ; $x \& y$ ; confidence 0.931
  
144. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010080/a0100808.png ; $x _ { 1 } , \ldots , A _ { x _ { 1 } } \ldots x _ { k } , \ldots ,$ ; confidence 0.104
+
144. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010860/a01086029.png ; $M ^ { * } \rightarrow M ^ { * * * } \rightarrow M ^ { * }$ ; confidence 0.931
  
145. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g12004053.png ; $| \tilde { \varphi } \mathfrak { u } ( \xi ) | \leq c ^ { - 1 } e ^ { - c | \xi | ^ { 1 / s } }$ ; confidence 0.103
+
145. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047410/h04741014.png ; $t ^ { 0 } \neq a ^ { 2 }$ ; confidence 0.931
  
146. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230115.png ; $E ( L ) = E ^ { d } ( L ) \omega ^ { \alpha } \bigotimes \Delta$ ; confidence 0.101
+
146. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010640/a01064020.png ; $d ( m )$ ; confidence 0.930
  
147. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013073.png ; $Q$ ; confidence 0.095
+
147. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021720/c02172031.png ; $b _ { k } ^ { \prime } = ( - 1 ) ^ { k + 1 } b _ { k }$ ; confidence 0.930
  
148. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083460/s08346028.png ; $\operatorname { Ccm } ( G )$ ; confidence 0.094
+
148. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023890/c02389043.png ; $\{ d F _ { i } \} _ { 1 } ^ { m }$ ; confidence 0.930
  
149. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150450.png ; $\operatorname { sin } 0$ ; confidence 0.092
+
149. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047740/h04774059.png ; $0 \rightarrow A ^ { \prime } \rightarrow A \rightarrow A ^ { \prime \prime } \rightarrow 0$ ; confidence 0.930
  
150. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073760/p0737605.png ; $\omega _ { \mathscr { A } } : X ( G ) \rightarrow T$ ; confidence 0.090
+
150. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110110/m11011038.png ; $\square _ { q } F _ { p - 1 }$ ; confidence 0.930
  
151. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120130/m12013051.png ; $\left. \begin{array}{l}{ \frac { d N ^ { 1 } } { d t } = \lambda _ { ( 1 ) } N ^ { 1 } ( 1 - \frac { N ^ { 1 } } { K _ { ( 1 ) } } - \delta _ { ( 1 ) } \frac { N ^ { 2 } } { K _ { ( 1 ) } } ) }\\{ \frac { d N ^ { 2 } } { d t } = \lambda _ { ( 2 ) } N ^ { 2 } ( 1 - \frac { N ^ { 2 } } { K _ { ( 2 ) } } - \delta _ { ( 2 ) } \frac { N ^ { 1 } } { K _ { ( 2 ) } } ) }\end{array} \right.$ ; confidence 0.089
+
151. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110130/m11013015.png ; $E S$ ; confidence 0.930
  
152. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022042.png ; $r _ { e . s s } ( T ) \in \sigma _ { ess } ( T )$ ; confidence 0.088
+
152. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064190/m064190102.png ; $u | _ { \Gamma } = \psi$ ; confidence 0.930
  
153. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e1300308.png ; $\gamma = \left( \begin{array} { l l } { \alpha } & { b } \\ { c } & { d } \end{array} \right) \in GL _ { 2 } ( Q )$ ; confidence 0.088
+
153. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094530/t094530109.png ; $\sum ( k _ { i } - 1 )$ ; confidence 0.930
  
154. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076820/q076820155.png ; $\operatorname { lim } _ { t \rightarrow \infty } P \{ q ( t ) = k \} = \operatorname { lim } _ { t \rightarrow \infty } P \{ q _ { n } = k \} = \frac { ( \alpha \alpha ) ^ { k } } { k ! } e ^ { - \alpha ^ { \prime } \alpha }$ ; confidence 0.087
+
154. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130100/z13010033.png ; $\forall y ( \neg y \in x )$ ; confidence 0.930
  
155. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024018.png ; $E _ { i }$ ; confidence 0.085
+
155. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077630/r07763061.png ; $k [ G ] _ { \chi } = \{ f \in k [ G ] : f ( g b ) = \chi ( b ) f ( g ) \forall b \in B , g \in G \}$ ; confidence 0.930
  
156. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047940/h047940319.png ; $\eta : \pi _ { N } \otimes \pi _ { N } \rightarrow \pi _ { N } + 1$ ; confidence 0.085
+
156. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a1201601.png ; $u _ { i } ( t )$ ; confidence 0.930
  
157. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006022.png ; $\beta ( A , B ) = \operatorname { sup } _ { C \in A \otimes B } | P _ { A \otimes B } ( C ) - ( P _ { A } \times P _ { B } ) ( C ) | =$ ; confidence 0.084
+
157. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120209.png ; $H _ { c } ^ { p } ( X , F )$ ; confidence 0.930
  
158. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074740/p07474069.png ; $q _ { k } R = p _ { j } ^ { n _ { i } } R _ { R }$ ; confidence 0.083
+
158. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q076310136.png ; $R = ( \rho \otimes \rho ) ( R ) \in \operatorname { End } ( k ^ { n } \otimes k ^ { n } )$ ; confidence 0.930
  
159. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016960/b016960167.png ; $\tilde { \mathfrak { N } } = \mathfrak { N } \backslash ( V _ { j = 1 } ^ { t } \mathfrak { A } ^ { \prime \prime } )$ ; confidence 0.082
+
159. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012020.png ; $\lambda _ { n } = n ^ { 1 / \rho } l ( n )$ ; confidence 0.930
  
160. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d12002092.png ; $V _ { V }$ ; confidence 0.082
+
160. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022370/c022370215.png ; $1$ ; confidence 0.929
  
161. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010430/a01043025.png ; $q _ { i h } = \sum _ { j \in S } p _ { i } q _ { h } , \quad i \in S \backslash H , \quad h \in H$ ; confidence 0.082
+
161. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004012.png ; $n = 2$ ; confidence 0.929
  
162. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027320/c027320130.png ; $C = R _ { k m m } ^ { i } R _ { k } ^ { k k m }$ ; confidence 0.081
+
162. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a1202208.png ; $| x | | \leq 1$ ; confidence 0.929
  
163. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027000/c0270004.png ; $E _ { e } ^ { t X } 1$ ; confidence 0.078
+
163. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008058.png ; $X \leftarrow m + s ( U _ { 1 } + U _ { 2 } - 1 )$ ; confidence 0.929
  
164. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240422.png ; $1$ ; confidence 0.077
+
164. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081460/r081460129.png ; $V _ { \lambda } ^ { 0 } \subset V _ { \lambda }$ ; confidence 0.929
  
165. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021072.png ; $\mathfrak { C } 1 , \ldots , \mathfrak { C } _ { x }$ ; confidence 0.076
+
165. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120190/w12019047.png ; $P = - i \hbar \nabla _ { x }$ ; confidence 0.929
  
166. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a014060135.png ; $W _ { N } \rightarrow W _ { n }$ ; confidence 0.076
+
166. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f12011058.png ; $\Delta _ { k }$ ; confidence 0.929
  
167. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033570/d0335707.png ; $\prod _ { i \in I } \sum _ { j \in J ( i ) } \alpha _ { i j } = \sum _ { \phi \in \Phi } \prod _ { i \in I } \alpha _ { i \phi ( i ) }$ ; confidence 0.076
+
167. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110070/k11007016.png ; $= \{ f : \pi ^ { - 1 } ( U ) \rightarrow k : f ( g b ) = f ( g ) \chi ( b ) , g \in G , b \in B \}$ ; confidence 0.929
  
168. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070370/o07037028.png ; $\sum _ { n = 0 } ^ { \infty } a _ { \tilde { m } } ^ { 2 } ( f ) = \int _ { \mathscr { x } } ^ { b } f ^ { 2 } ( x ) d x$ ; confidence 0.076
+
168. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070010/o07001078.png ; $G$ ; confidence 0.929
  
169. https://www.encyclopediaofmath.org/legacyimages/t/t110/t110020/t11002078.png ; $M _ { \mathscr { C } } M _ { b } M _ { \alpha ^ { \prime } } M _ { \phi }$ ; confidence 0.076
+
169. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086830/s08683012.png ; $B _ { i } / B _ { i + 1 }$ ; confidence 0.929
  
170. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086590/s08659060.png ; $\mathfrak { p } \not p \not \sum _ { n = 1 } ^ { \infty } A _ { n }$ ; confidence 0.075
+
170. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240374.png ; $F = Z _ { 1 } M _ { E } ^ { - 1 } Z _ { 1 } ^ { \prime }$ ; confidence 0.929
  
171. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040245.png ; $I _ { A / P } ^ { B }$ ; confidence 0.075
+
171. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012072.png ; $( A , I )$ ; confidence 0.928
  
172. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022030/c02203033.png ; $C _ { \omega }$ ; confidence 0.073
+
172. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120110/a12011025.png ; $T ( 0 , n ) = 2 n$ ; confidence 0.928
  
173. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a0102404.png ; $F ( z , w ) \equiv \alpha _ { 0 } ( z ) w ^ { \prime \prime } + \alpha _ { 1 } ( z ) w ^ { \prime \prime } - 1 + \ldots + \alpha _ { x } ( z ) = 0$ ; confidence 0.073
+
173. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120345.png ; $L _ { z } F ( z , \zeta )$ ; confidence 0.928
  
174. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012800/a01280065.png ; $\times \frac { \partial ^ { m + n } } { \partial x ^ { m } \partial y ^ { n } } [ x ^ { \gamma + m - 1 } y ^ { \prime } + n - 1 _ { ( 1 - x - y ) } \alpha + w + n - \gamma - \gamma ^ { \prime } ]$ ; confidence 0.072
+
174. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021044.png ; $B _ { i j } = \int _ { b _ { j } } \phi _ { i }$ ; confidence 0.928
  
175. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054340/j0543403.png ; $J = \left| \begin{array} { c c c c } { J _ { n _ { 1 } } ( \lambda _ { 1 } ) } & { \square } & { \square } & { \square } \\ { \square } & { \ldots } & { \square } & { 0 } \\ { 0 } & { \square } & { \ldots } & { \square } \\ { \square } & { \square } & { \square } & { J _ { n _ { S } } ( \lambda _ { s } ) } \end{array} \right|$ ; confidence 0.072
+
175. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010860/a01086020.png ; $\zeta : M ^ { * } \otimes _ { R } C \rightarrow \operatorname { Hom } _ { R } ( M , C )$ ; confidence 0.928
  
176. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e12010035.png ; $f ^ { em } = 0 = \operatorname { div } t ^ { em } f - \frac { \partial G ^ { em f } } { \partial t }$ ; confidence 0.071
+
176. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001015.png ; $x$ ; confidence 0.928
  
177. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f12021089.png ; $\pi ( \lambda ) = ( \lambda + 2 ) ( \lambda + 1 ) \alpha ^ { 2 } 0 + ( \lambda + 1 ) \alpha ^ { 1 } 0 + a ^ { 0 } =$ ; confidence 0.071
+
177. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110490/b1104909.png ; $P _ { 1 }$ ; confidence 0.928
  
178. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087420/s08742067.png ; $\{ f \rangle _ { P } \sim | V |$ ; confidence 0.071
+
178. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080060/r080060177.png ; $\{ r _ { n } + r _ { n } ^ { \prime } \}$ ; confidence 0.928
  
179. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040539.png ; $t _ { G } \theta _ { 0 } , \ldots , \theta _ { n - 1 } \gg \xi$ ; confidence 0.070
+
179. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093230/t09323071.png ; $X \rightarrow P L / O$ ; confidence 0.928
  
180. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018019.png ; $z \frac { \operatorname { lim } } { z \rightarrow z _ { 0 } } \quad S ( z ) = S ( z 0 )$ ; confidence 0.069
+
180. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690053.png ; $C ^ { * } ( G , A )$ ; confidence 0.928
  
181. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010198.png ; $\leq \| T \| ^ { T ^ { - 1 } } \| \| \delta A \| \frac { 1 } { \operatorname { min } } | \hat { \lambda } - \lambda _ { i } |$ ; confidence 0.069
+
181. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050280.png ; $N _ { G } ^ { \# } ( x ) = \sum _ { n \leq x } G ^ { \# } ( n )$ ; confidence 0.928
  
182. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016150/b01615033.png ; $\operatorname { Re } _ { c _ { N } } = n$ ; confidence 0.069
+
182. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a010810102.png ; $m < 2 n$ ; confidence 0.927
  
183. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051950/i05195031.png ; $\frac { ( x - x _ { k } - 1 ) ( x - x _ { k + 1 } ) } { ( x _ { k } - x _ { k - 1 } ) ( x _ { k } - x _ { k + 1 } ) } f ( x _ { k } ) + \frac { ( x - x _ { k - 1 } ) ( x - x _ { k } ) } { ( x _ { k } + 1 - x _ { k - 1 } ) ( x _ { k + 1 } - x _ { k } ) } f ( x _ { k + 1 } )$ ; confidence 0.069
+
183. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h047970119.png ; $\epsilon : A \rightarrow K$ ; confidence 0.927
  
184. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033340/d03334050.png ; $c * x = \frac { 1 } { I J } \sum _ { i j } c _ { j } = \frac { 1 } { I } \sum _ { i } c _ { i } x = \frac { 1 } { J } \sum _ { j } c * j$ ; confidence 0.068
+
184. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010284.png ; $C u = \lambda B u$ ; confidence 0.927
  
185. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l12012087.png ; $Z _ { \text { tot } S } = Z$ ; confidence 0.066
+
185. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021038.png ; $\delta _ { i i } = 1$ ; confidence 0.927
  
186. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093230/t093230103.png ; $\left. \begin{array} { c c c } { \square } & { \square } & { B P L } \\ { \square } & { \square } & { \downarrow } \\ { X } & { \vec { \tau } _ { X } } & { B G } \end{array} \right.$ ; confidence 0.066
+
186. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065300/m06530022.png ; $\otimes _ { i = 1 } ^ { n } E _ { i } \rightarrow F$ ; confidence 0.927
  
187. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010080/a01008023.png ; $A _ { x _ { 1 } } ^ { \prime } \ldots x _ { k } = A _ { 1 } \cap \ldots \cap A _ { x _ { 1 } } \ldots x _ { k }$ ; confidence 0.061
+
187. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a01146041.png ; $X _ { y }$ ; confidence 0.927
  
188. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016610/b01661030.png ; $R _ { y } ^ { t }$ ; confidence 0.060
+
188. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010840/a01084024.png ; $M ^ { * }$ ; confidence 0.927
  
189. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087300/s08730040.png ; $Q _ { 1 }$ ; confidence 0.060
+
189. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a014170107.png ; $j : X \times \Gamma \rightarrow H$ ; confidence 0.927
  
190. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011024.png ; $\alpha ^ { \psi } = Op ( J ^ { 1 / 2 } \alpha )$ ; confidence 0.058
+
190. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010700/a01070026.png ; $( \alpha , c ) \in A \oplus C$ ; confidence 0.927
  
191. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043480/g0434801.png ; $\quad f j ( x ) - \alpha j = \alpha _ { j 1 } x _ { 1 } + \ldots + \alpha _ { j n } x _ { n } - \alpha _ { j } = 0$ ; confidence 0.057
+
191. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010800/a0108002.png ; $\overline { \Gamma }$ ; confidence 0.926
  
192. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065030/m0650309.png ; $x = x \operatorname { cos } \phi + y \operatorname { sin } \phi + \alpha$ ; confidence 0.056
+
192. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650223.png ; $A _ { \alpha } = \langle A _ { \alpha } , \Omega \rangle$ ; confidence 0.926
  
193. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240244.png ; $= \operatorname { sin } \gamma q$ ; confidence 0.055
+
193. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007073.png ; $n ^ { \prime }$ ; confidence 0.926
  
194. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044410/g04441010.png ; $A = \underbrace { \operatorname { lim } _ { n } \frac { \operatorname { lim } } { x \nmid x _ { 0 } } } s _ { n } ( x )$ ; confidence 0.055
+
194. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055520/k055520124.png ; $\frac { 1 } { 2 \pi } \{ \text { hyperbolic area of } \Omega \backslash \Gamma \} \leq 2 ( N - 1 )$ ; confidence 0.926
  
195. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036910/e03691064.png ; $( e ^ { z } 1 ) ^ { z } = e ^ { z } 1 ^ { z _ { 2 } }$ ; confidence 0.053
+
195. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130620/s13062062.png ; $m _ { 0 } ( \lambda ) = A + \int _ { - \infty } ^ { \infty } ( \frac { 1 } { t - \lambda } - \frac { t } { t ^ { 2 } + 1 } ) d \rho _ { 0 } ( t )$ ; confidence 0.926
  
196. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054200/j05420029.png ; $f _ { 0 } ( z _ { j } ) = \left\{ \begin{array} { l l } { \alpha ^ { ( j ) } z _ { j } + \text { non-positive powers of } z _ { j } } & { \text { if } j \leq r } \\ { z _ { j } + \sum _ { s = x _ { j } } ^ { \infty } a _ { s } ^ { ( j ) } z _ { j } ^ { - s } } & { \text { if } j > r } \end{array} \right.$ ; confidence 0.051
+
196. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872057.png ; $\phi ( x ^ { [ p ] } ) = ( \phi ( x ) ) ^ { [ p ] } , \quad x \in L$ ; confidence 0.926
  
197. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022078.png ; $W = \left\| \begin{array} { c c c c c c } { \pi i } & { \ldots } & { 0 } & { a _ { 11 } } & { \ldots } & { a _ { 1 p } } \\ { \cdots } & { \cdots } & { \cdots } & { \cdots } & { \cdots } & { \cdots } \\ { 0 } & { \ldots } & { \pi i } & { a _ { p 1 } } & { \ldots } & { a _ { p p } } \end{array} \right\|$ ; confidence 0.051
+
197. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050131.png ; $R \times R ^ { m }$ ; confidence 0.926
 +
 
 +
198. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t13013071.png ; $D ^ { b } ( \Lambda )$ ; confidence 0.926
 +
 
 +
199. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006019.png ; $P _ { N } ( n )$ ; confidence 0.926
 +
 
 +
200. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040370/f04037017.png ; $p \leq k \leq \operatorname { prof } F - q - 1$ ; confidence 0.925
 +
 
 +
201. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q076310111.png ; $A \otimes A$ ; confidence 0.925
 +
 
 +
202. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012460/a012460143.png ; $Q _ { 1 }$ ; confidence 0.925
 +
 
 +
203. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067430/n06743015.png ; $\sum _ { k = 1 } ^ { \infty } \| u _ { k } \| = \sum _ { k = 1 } ^ { \infty } 1 / k$ ; confidence 0.925
 +
 
 +
204. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076820/q076820199.png ; $f ( \xi _ { T } ( t ) )$ ; confidence 0.925
 +
 
 +
205. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054270/j05427040.png ; $Q = \left( \begin{array} { l l } { 0 } & { 1 } \\ { 1 } & { 0 } \end{array} \right)$ ; confidence 0.925
 +
 
 +
206. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e03696087.png ; $\eta = ( n _ { j } ) _ { j \in J }$ ; confidence 0.924
 +
 
 +
207. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010156.png ; $\delta x = [ ( A + \delta A ) ^ { + } - A ^ { + } ] b + ( A + \delta A ) ^ { + } \delta b$ ; confidence 0.924
 +
 
 +
208. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021037.png ; $A _ { j } = \int _ { \alpha _ { j } } \phi _ { i } = \delta _ { i j }$ ; confidence 0.924
 +
 
 +
209. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830305.png ; $u _ { A } = u _ { B }$ ; confidence 0.924
 +
 
 +
210. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110170/a11017024.png ; $f +$ ; confidence 0.924
 +
 
 +
211. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420150.png ; $K _ { 0 } ( \varphi )$ ; confidence 0.924
 +
 
 +
212. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022330/c0223301.png ; $a ( r )$ ; confidence 0.924
 +
 
 +
213. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043280/g04328069.png ; $H _ { i } ( x ^ { \prime } ) > H _ { i } ( x ^ { \prime \prime } )$ ; confidence 0.924
 +
 
 +
214. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062560/m06256075.png ; $K _ { y } ^ { \alpha }$ ; confidence 0.924
 +
 
 +
215. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059250/l059250116.png ; $SK _ { 1 }$ ; confidence 0.924
 +
 
 +
216. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040105.png ; $L = O _ { A } ( C )$ ; confidence 0.924
 +
 
 +
217. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023720/c02372067.png ; $f _ { D } ( z )$ ; confidence 0.924
 +
 
 +
218. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068370/o06837070.png ; $\alpha \in \Delta$ ; confidence 0.924
 +
 
 +
219. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040751.png ; $r \in R$ ; confidence 0.924
 +
 
 +
220. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001075.png ; $r = A x - b$ ; confidence 0.924
 +
 
 +
221. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007078.png ; $\rightarrow \infty \operatorname { log } Q ( x ) / \operatorname { log } \operatorname { log } x \geq 5 / 48$ ; confidence 0.924
 +
 
 +
222. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047410/h047410109.png ; $\beta = \alpha \cdot \sigma ( \alpha ) ^ { - 1 }$ ; confidence 0.924
 +
 
 +
223. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087080/s08708024.png ; $b \in M$ ; confidence 0.923
 +
 
 +
224. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240497.png ; $\beta _ { 11 } = \beta _ { 21 }$ ; confidence 0.923
 +
 
 +
225. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012013.png ; $v = ( v _ { j } )$ ; confidence 0.923
 +
 
 +
226. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a1101608.png ; $n = 100,000$ ; confidence 0.923
 +
 
 +
227. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033530/d03353065.png ; $p ^ { m }$ ; confidence 0.923
 +
 
 +
228. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450162.png ; $P _ { k } ^ { 1 }$ ; confidence 0.923
 +
 
 +
229. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007077.png ; $Q ( x ) \geq \operatorname { Clog } x \operatorname { log } \operatorname { log } x / ( \operatorname { log } \operatorname { log } \operatorname { log } x ) ^ { 2 }$ ; confidence 0.923
 +
 
 +
230. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d03412066.png ; $\{ H _ { r } ( X , A ) , f * , \partial \}$ ; confidence 0.923
 +
 
 +
231. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a014170106.png ; $( X , H )$ ; confidence 0.923
 +
 
 +
232. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420134.png ; $K _ { 0 } ( I ) \rightarrow K _ { 0 } ( A )$ ; confidence 0.923
 +
 
 +
233. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046010/h046010125.png ; $M _ { 2 } \times S ^ { N }$ ; confidence 0.923
 +
 
 +
234. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048190/h0481908.png ; $\nu = 0$ ; confidence 0.923
 +
 
 +
235. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130070/j13007031.png ; $L = \angle \operatorname { lim } _ { z \rightarrow \omega } f ( z )$ ; confidence 0.923
 +
 
 +
236. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017067.png ; $I$ ; confidence 0.923
 +
 
 +
237. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085560/s0855608.png ; $| \sigma ^ { n } |$ ; confidence 0.923
 +
 
 +
238. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090170/s09017045.png ; $E$ ; confidence 0.923
 +
 
 +
239. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150395.png ; $A \wedge B$ ; confidence 0.923
 +
 
 +
240. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012056.png ; $f ^ { \langle n _ { k } \rangle } ( \lambda _ { k } ) = 0$ ; confidence 0.923
 +
 
 +
241. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120244.png ; $H _ { c } ^ { n - p - 1 } ( X \backslash Y , \operatorname { Hom } ( F , \Omega ) )$ ; confidence 0.923
 +
 
 +
242. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012071.png ; $f ^ { \langle \nu _ { k } \rangle } ( 1 ) = 0$ ; confidence 0.923
 +
 
 +
243. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001053.png ; $A = \left( \begin{array} { c c } { 10 ^ { 5 } } & { 0 } \\ { 0 } & { 10 ^ { - 5 } } \end{array} \right)$ ; confidence 0.923
 +
 
 +
244. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t130140146.png ; $( I , \preceq )$ ; confidence 0.923
 +
 
 +
245. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011660/a011660124.png ; $x \in B$ ; confidence 0.923
 +
 
 +
246. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010680/a01068048.png ; $Q ( n )$ ; confidence 0.923
 +
 
 +
247. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050157.png ; $c > 1$ ; confidence 0.923
 +
 
 +
248. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a130080109.png ; $U \geq f ( X ) / h ( X )$ ; confidence 0.922
 +
 
 +
249. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058610/l05861076.png ; $G _ { C }$ ; confidence 0.922
 +
 
 +
250. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110420/b11042025.png ; $V _ { k } \varphi ( x ) = \varphi ( x - h )$ ; confidence 0.922
 +
 
 +
251. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780128.png ; $\Omega _ { fr } ^ { - i } = \Omega _ { i } ^ { fr } = \pi _ { i + N } ( S ^ { N } )$ ; confidence 0.922
 +
 
 +
252. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110160/f110160161.png ; $\mathfrak { A } \sim _ { l } \mathfrak { B }$ ; confidence 0.922
 +
 
 +
253. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e03696071.png ; $( y _ { j } ) _ { j \in J }$ ; confidence 0.922
 +
 
 +
254. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023330/c02333037.png ; $X \rightarrow Y$ ; confidence 0.922
 +
 
 +
255. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a1100101.png ; $f ( \alpha , x ) = 0$ ; confidence 0.922
 +
 
 +
256. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240484.png ; $\beta _ { i 0 } + \beta _ { i 1 } t + \ldots + \beta _ { i k } t ^ { k }$ ; confidence 0.922
 +
 
 +
257. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040235.png ; $i \in I$ ; confidence 0.922
 +
 
 +
258. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007075.png ; $n ^ { \prime } / n \leq 1 + 1 / \sqrt { \operatorname { log } n }$ ; confidence 0.921
 +
 
 +
259. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120110/a12011017.png ; $A ( i , 0 ) = A ( i - 1,1 ) \text { for } i \geq 1 , A ( i , n ) = A ( i - 1 , A ( i , n - 1 ) ) \text { for } i \geq 1 , n$ ; confidence 0.921
 +
 
 +
260. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110610/a110610104.png ; $Z = \int _ { A } D A \sqrt { \operatorname { det } ( / \partial _ { A } ^ { * } / \partial _ { A } ) } \operatorname { exp } [ - \| F \| ^ { 2 } ]$ ; confidence 0.921
 +
 
 +
261. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034280/d03428088.png ; $S _ { g } ( w _ { 0 } )$ ; confidence 0.921
 +
 
 +
262. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051360/i0513609.png ; $\int f _ { 1 } ( x ) d x \quad \text { and } \quad \int f _ { 2 } ( x ) d x$ ; confidence 0.921
 +
 
 +
263. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110160/l11016049.png ; $n ^ { O ( n ) } M ^ { O ( 1 ) }$ ; confidence 0.921
 +
 
 +
264. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081048.png ; $C ^ { * } ( I )$ ; confidence 0.921
 +
 
 +
265. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120175.png ; $H ^ { p } ( X , F ) \times H _ { c } ^ { n - p } ( X , \operatorname { Hom } ( F , \Omega ) ) \rightarrow H _ { c } ^ { n } ( X , \Omega )$ ; confidence 0.921
 +
 
 +
266. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005068.png ; $A u \in C ( [ 0 , T ] ; X )$ ; confidence 0.921
 +
 
 +
267. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077670/r07767017.png ; $S K _ { 1 } ( D )$ ; confidence 0.921
 +
 
 +
268. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025930/c02593025.png ; $y \in W$ ; confidence 0.920
 +
 
 +
269. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031210/d03121061.png ; $i$ ; confidence 0.920
 +
 
 +
270. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040219.png ; $\varphi _ { L } : A \hookrightarrow P ^ { 7 }$ ; confidence 0.920
 +
 
 +
271. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a01130017.png ; $( * ) : 1 \rightarrow B _ { \alpha } \rightarrow G / K _ { \alpha } ^ { \prime } \rightarrow J ^ { \alpha } \rightarrow 1$ ; confidence 0.920
 +
 
 +
272. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590634.png ; $\Delta = ( F _ { x x } ^ { \prime \prime } ) _ { 0 } ( F _ { y y } ^ { \prime \prime } ) _ { 0 } - ( F _ { x y } ^ { \prime \prime } ) _ { 0 } ^ { 2 }$ ; confidence 0.920
 +
 
 +
273. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032034.png ; $n _ { S } < n$ ; confidence 0.920
 +
 
 +
274. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010124.png ; $b _ { 2 } i + 1 ( S ) = 0$ ; confidence 0.920
 +
 
 +
275. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017290/b0172908.png ; $\Gamma \subset M _ { A }$ ; confidence 0.920
 +
 
 +
276. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035760/e0357604.png ; $f : W \rightarrow R$ ; confidence 0.920
 +
 
 +
277. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110150/p1101505.png ; $x \preceq y \Rightarrow z x t \preceq x y t$ ; confidence 0.920
 +
 
 +
278. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110850/b11085034.png ; $K G$ ; confidence 0.920
 +
 
 +
279. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040575.png ; $S 5 ^ { S }$ ; confidence 0.919
 +
 
 +
280. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010950/a01095075.png ; $\omega _ { j } ^ { i } = \Gamma _ { j k } ^ { i } d x ^ { k }$ ; confidence 0.919
 +
 
 +
281. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040728.png ; $P \subseteq P ^ { \prime }$ ; confidence 0.919
 +
 
 +
282. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031250/d03125086.png ; $\Omega _ { X / Y } ^ { 1 }$ ; confidence 0.919
 +
 
 +
283. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036840/e03684025.png ; $A = \operatorname { lim } _ { n \rightarrow \infty } C _ { n } = ( 1 + \frac { 1 } { 4 } + \frac { 1 } { 16 } + \ldots ) C _ { 1 } = \frac { 4 } { 3 } C _ { 1 }$ ; confidence 0.919
 +
 
 +
284. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057150/l05715028.png ; $3 N + k + m$ ; confidence 0.919
 +
 
 +
285. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110120/p110120428.png ; $P _ { n } ( f )$ ; confidence 0.919
 +
 
 +
286. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006058.png ; $N \geq Z$ ; confidence 0.919
 +
 
 +
287. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010131.png ; $\epsilon A _ { 1 }$ ; confidence 0.919
 +
 
 +
288. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005095.png ; $S A ( t ) S ^ { - 1 } = A ( t ) + B ( t ) , \quad t \in [ 0 , T ]$ ; confidence 0.919
 +
 
 +
289. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016066.png ; $C _ { m }$ ; confidence 0.919
 +
 
 +
290. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164011.png ; $p ^ { ( 1 ) } = ( K _ { V } ^ { 2 } ) + 1 = \operatorname { deg } ( c _ { 1 } ^ { 2 } ) + 1$ ; confidence 0.919
 +
 
 +
291. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023470/c02347054.png ; $n _ { \alpha } = \operatorname { dim } R ^ { \alpha }$ ; confidence 0.918
 +
 
 +
292. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110400/a11040025.png ; $T ^ { \odot } = \{ T ^ { * } ( t ) | _ { X ^ { \odot } } \} _ { t \geq 0 }$ ; confidence 0.918
 +
 
 +
293. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210115.png ; $\alpha$ ; confidence 0.918
 +
 
 +
294. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024089.png ; $g > 1$ ; confidence 0.918
 +
 
 +
295. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a11030029.png ; $\{ v _ { \alpha } : \alpha \in A \}$ ; confidence 0.918
 +
 
 +
296. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010950/a01095061.png ; $L \in M$ ; confidence 0.918
 +
 
 +
297. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t13013042.png ; $( T , F )$ ; confidence 0.918
 +
 
 +
298. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013180/a013180158.png ; $\| T _ { M } \|$ ; confidence 0.918
 +
 
 +
299. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110130/c11013026.png ; $f \in C ^ { k }$ ; confidence 0.918
 +
 
 +
300. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026480/c0264808.png ; $\alpha _ { i } : A _ { i } \rightarrow X$ ; confidence 0.918

Latest revision as of 09:58, 17 October 2019

List

1. a01238018.png ; $m \geq n$ ; confidence 0.939

2. a011450243.png ; $X _ { \eta }$ ; confidence 0.938

3. a11028068.png ; $y z \in E ( D )$ ; confidence 0.938

4. a0114801.png ; $f _ { x } = 0$ ; confidence 0.938

5. a12017046.png ; $\beta ( \alpha , x ) = R \beta _ { 0 } ( \alpha ) \Phi ( x )$ ; confidence 0.938

6. b130010123.png ; $V _ { n }$ ; confidence 0.938

7. a01052017.png ; $\| A ^ { - 1 } \|$ ; confidence 0.938

8. d034120344.png ; $\Lambda _ { \zeta } F ( z , \zeta )$ ; confidence 0.938

9. a01146075.png ; $C ( X ) / C _ { hom } ( X )$ ; confidence 0.938

10. a01024073.png ; $\omega P _ { i } P _ { j }$ ; confidence 0.938

11. b13022030.png ; $L _ { p } ( T )$ ; confidence 0.938

12. r08177046.png ; $x ^ { T } ( t _ { 1 } ) \Phi x ( t _ { 1 } ) + \int _ { t _ { 0 } } ^ { t _ { 1 } } [ x ^ { T } ( t ) M ( t ) x ( t ) + u ^ { T } ( t ) N ( t ) u ( t ) ] d t$ ; confidence 0.938

13. a110680145.png ; $\alpha _ { i j }$ ; confidence 0.938

14. a12013047.png ; $I / 2 - h _ { \theta } ^ { * }$ ; confidence 0.938

15. h047690110.png ; $< 6$ ; confidence 0.938

16. s08706039.png ; $S K _ { 1 }$ ; confidence 0.938

17. a11001063.png ; $| \delta x | \leq | A ^ { - 1 } \delta A | | x | + | A ^ { - 1 } \delta A | | \delta x | + | A ^ { - 1 } \delta b |$ ; confidence 0.937

18. a11004066.png ; $d _ { 1 } \geq 2$ ; confidence 0.937

19. a12020029.png ; $p ( t ) = t ^ { N } - 1$ ; confidence 0.937

20. b0153903.png ; $( \Theta , B _ { \Theta } )$ ; confidence 0.937

21. c02467038.png ; $D _ { 4 }$ ; confidence 0.937

22. a01046028.png ; $\rho ( x , h ) = \operatorname { sup } \{ | \xi | : x + \xi h \in D \}$ ; confidence 0.937

23. a01012067.png ; $\{ \nu _ { k } \} \cup \{ \mu _ { n } \} = \{ n \}$ ; confidence 0.937

24. t120010141.png ; $7$ ; confidence 0.937

25. g04497028.png ; $E ^ { n } \times R$ ; confidence 0.937

26. o07029017.png ; $\Delta = \alpha _ { 2 } c ( b ) - \beta _ { 2 } s ( b ) \neq 0$ ; confidence 0.937

27. p07295010.png ; $w ( z ) = \int _ { \gamma } ( t - z ) ^ { \mu + n - 1 } u ( t ) d t$ ; confidence 0.937

28. p07580013.png ; $\square ^ { n - 1 } R _ { n }$ ; confidence 0.937

29. r08204012.png ; $a _ { 0 } ( z ) \neq 0$ ; confidence 0.937

30. a01095087.png ; $\omega ^ { i } = d x ^ { i } , \quad \omega _ { j } ^ { i } = \Gamma _ { j k } ^ { i } d x ^ { k }$ ; confidence 0.937

31. a11004077.png ; $A = C ^ { 2 } / \Lambda$ ; confidence 0.937

32. a120160177.png ; $x _ { j t } , y _ { i t } \geq 0$ ; confidence 0.937

33. a011640115.png ; $( K _ { V } ^ { 2 } ) > 0$ ; confidence 0.937

34. a11017015.png ; $\Omega _ { t }$ ; confidence 0.937

35. c02218013.png ; $r + 1$ ; confidence 0.937

36. s085590376.png ; $x _ { 0 } ^ { \mu - 1 } + x _ { 0 } x _ { 1 } ^ { 2 } + x _ { 2 } ^ { 2 } + \ldots + x _ { n } ^ { 2 } = 0$ ; confidence 0.937

37. a110040216.png ; $A / ( - 1 ) _ { A }$ ; confidence 0.936

38. a01164084.png ; $H ^ { i } ( V , Z )$ ; confidence 0.936

39. a13024025.png ; $y , \beta , e$ ; confidence 0.936

40. a011480114.png ; $b _ { n }$ ; confidence 0.936

41. a12005087.png ; $| \prod _ { j = 1 } ^ { k } ( \lambda - A ( t _ { j } ) ) ^ { - 1 } \| _ { X } \leq M ( \lambda - \beta ) ^ { - k }$ ; confidence 0.936

42. a130040182.png ; $b \in G$ ; confidence 0.936

43. a12008035.png ; $s , t \in R$ ; confidence 0.936

44. l05868024.png ; $\operatorname { exp } : \mathfrak { h } \rightarrow G$ ; confidence 0.936

45. l058590136.png ; $T ( n ) \subset G L ( n , C )$ ; confidence 0.936

46. a110420154.png ; $K _ { 0 }$ ; confidence 0.936

47. a110040196.png ; $\varphi _ { L } : A \rightarrow P ^ { 4 }$ ; confidence 0.936

48. c0206506.png ; $1 / \mu = d S / d \sigma$ ; confidence 0.936

49. c1202706.png ; $t \mapsto \gamma ( t ) = \operatorname { exp } _ { p } ( t v )$ ; confidence 0.936

50. m06499012.png ; $f : M \rightarrow R$ ; confidence 0.936

51. o13001044.png ; $F : L ^ { 2 } ( D ^ { \prime } ) \rightarrow L ^ { 2 } ( R ^ { 3 } )$ ; confidence 0.936

52. o07001011.png ; $G / G _ { X }$ ; confidence 0.936

53. t12008015.png ; $O _ { S } ^ { * }$ ; confidence 0.936

54. v09667018.png ; $P ^ { 2 r - k }$ ; confidence 0.936

55. a12007098.png ; $2 m$ ; confidence 0.936

56. w098100182.png ; $p ( A )$ ; confidence 0.936

57. a110010218.png ; $| \delta \lambda _ { i } | / \| \delta A \|$ ; confidence 0.936

58. a130240403.png ; $SS _ { e }$ ; confidence 0.936

59. w120090278.png ; $\Lambda \supseteq \Phi$ ; confidence 0.935

60. g13002042.png ; $\notin \{ 0,1 \}$ ; confidence 0.935

61. a011300105.png ; $A = A$ ; confidence 0.935

62. a11001088.png ; $\leq \frac { \| B r \| } { 1 - \| I - B A \| }$ ; confidence 0.935

63. a11004068.png ; $d _ { 1 } \geq 3$ ; confidence 0.935

64. a011480110.png ; $g ( x ) = b _ { 0 } x ^ { n } + b _ { 1 } x ^ { n - 1 } + \ldots + b _ { n }$ ; confidence 0.935

65. a13007059.png ; $< x \operatorname { exp } ( - \frac { 1 } { 25 } ( \operatorname { log } x \operatorname { log } \operatorname { log } x ) ^ { 1 / 2 } )$ ; confidence 0.935

66. l05859081.png ; $L ( n , R )$ ; confidence 0.935

67. c1301504.png ; $C ^ { \infty } ( D ( \Omega ) )$ ; confidence 0.935

68. p07333012.png ; $d S _ { n }$ ; confidence 0.935

69. j05434031.png ; $+ \operatorname { rk } ( A - \lambda E ) ^ { m + 1 }$ ; confidence 0.935

70. a13024059.png ; $( i , j )$ ; confidence 0.935

71. a1104906.png ; $L _ { 0 } ( X ) = \{ A \in L ( X ) : \operatorname { dom } A = X \}$ ; confidence 0.935

72. w12009071.png ; $t ^ { \lambda }$ ; confidence 0.935

73. a01018021.png ; $20$ ; confidence 0.935

74. a01082018.png ; $H _ { C } ( F ( X ) , Y )$ ; confidence 0.935

75. d034120299.png ; $A ( F )$ ; confidence 0.935

76. n06690029.png ; $C ^ { i } ( \mathfrak { U } , F )$ ; confidence 0.935

77. j05427085.png ; $[ \mathfrak { g } - 1 , p ]$ ; confidence 0.935

78. w098100184.png ; $p ^ { 0 } , p ^ { 1 } , p ^ { 2 } ,$ ; confidence 0.934

79. d034120479.png ; $f \in F ^ { \prime }$ ; confidence 0.934

80. s085590381.png ; $x _ { 0 } ^ { 3 } x _ { 1 } + x _ { 1 } ^ { 3 } + x _ { 2 } ^ { 2 } + \ldots + x _ { n } ^ { 2 } = 0$ ; confidence 0.934

81. d03249017.png ; $p \subset q$ ; confidence 0.934

82. a0112101.png ; $\operatorname { Ai } ( x ) = \frac { 1 } { \pi } \int _ { 0 } ^ { \infty } \operatorname { cos } ( \frac { t ^ { 3 } } { 3 } + x t ) d t$ ; confidence 0.934

83. s13054078.png ; $\{ \alpha , b \} _ { p } = ( - 1 ) ^ { \alpha \beta } r ^ { \beta } s ^ { \alpha }$ ; confidence 0.934

84. c02023043.png ; $X \backslash K _ { X }$ ; confidence 0.934

85. d1203009.png ; $Y ( t ) \in R ^ { m }$ ; confidence 0.934

86. f040850122.png ; $A \rightarrow w$ ; confidence 0.934

87. g04435074.png ; $d ( \Lambda ) = \Delta ( \mathfrak { M } )$ ; confidence 0.934

88. h11020058.png ; $\Psi ( y _ { n } ) \subseteq \Psi ( y _ { 0 } )$ ; confidence 0.934

89. l06083045.png ; $b \in Q$ ; confidence 0.934

90. a011490172.png ; $y \in K$ ; confidence 0.934

91. a13024032.png ; $m \times p$ ; confidence 0.934

92. a011450163.png ; $( X )$ ; confidence 0.934

93. a011380118.png ; $\mathfrak { A } ^ { * } = \mathfrak { B } ^ { * }$ ; confidence 0.934

94. b11057025.png ; $R ^ { 2 x }$ ; confidence 0.933

95. a01130094.png ; $\Delta _ { i } \neq 0$ ; confidence 0.933

96. a130040798.png ; $f : A \rightarrow C$ ; confidence 0.933

97. a01121029.png ; $z | \rightarrow \infty$ ; confidence 0.933

98. b01569020.png ; $X _ { 1 } + \ldots + X _ { x }$ ; confidence 0.933

99. a011380194.png ; $\& , \vee , \overline { \square }$ ; confidence 0.933

100. a01029042.png ; $x ( \xi )$ ; confidence 0.933

101. a13013054.png ; $t _ { n }$ ; confidence 0.933

102. c026870129.png ; $( \nabla _ { X } U ) _ { p }$ ; confidence 0.933

103. d03206019.png ; $\sum _ { n = 1 } ^ { \infty } | x _ { n } ( t ) |$ ; confidence 0.933

104. k12003036.png ; $F _ { M } : G \rightarrow C ^ { * }$ ; confidence 0.933

105. o1200204.png ; $\alpha = 1 / 2$ ; confidence 0.933

106. s08778069.png ; $x [ M ^ { n } ] = \alpha ( x )$ ; confidence 0.933

107. a0103309.png ; $\beta _ { r } = \int _ { - \infty } ^ { + \infty } | x | ^ { r } d F ( x )$ ; confidence 0.933

108. a11030039.png ; $\operatorname { deg } \alpha _ { i } = 2 i - 1$ ; confidence 0.933

109. c02593042.png ; $\phi ( g )$ ; confidence 0.933

110. a1201109.png ; $\varphi ( \alpha , b , 3 )$ ; confidence 0.933

111. a01150075.png ; $a , b , c$ ; confidence 0.933

112. a01105032.png ; $f ^ { - 1 } ( S _ { \alpha } )$ ; confidence 0.933

113. a01121056.png ; $x _ { 1 } ( \alpha )$ ; confidence 0.933

114. a01149044.png ; $f _ { 0 } ^ { 1 } ( x ) , \ldots , f _ { 0 } ^ { k } ( x )$ ; confidence 0.933

115. l0587606.png ; $\{ e \} \times \Omega$ ; confidence 0.933

116. a130060129.png ; $90$ ; confidence 0.933

117. a13008011.png ; $U \leq f ( X ) / h ( X )$ ; confidence 0.932

118. a01021061.png ; $\omega ^ { \prime } = \omega - A _ { 1 } \phi _ { 1 } - \ldots - A _ { g } \phi _ { g }$ ; confidence 0.932

119. q07631068.png ; $( g , \phi )$ ; confidence 0.932

120. f04082082.png ; $F _ { u } ( X , Y )$ ; confidence 0.932

121. t12001038.png ; $\eta ^ { \alpha } ( Y ) = g ( \xi ^ { \alpha } , Y )$ ; confidence 0.932

122. a13013046.png ; $\frac { \partial } { \partial t _ { k } } F _ { i j } = \frac { \partial } { \partial t _ { i } } F _ { j k }$ ; confidence 0.932

123. c0209509.png ; $u ( x _ { 0 } ) = u _ { 0 }$ ; confidence 0.932

124. r13004063.png ; $u _ { 1 } = | \frac { \partial u } { \partial n } | = 0$ ; confidence 0.932

125. r13013012.png ; $P _ { \sigma } = \frac { 1 } { 2 \pi i } \int _ { \Gamma } ( \lambda - A ) ^ { - 1 } d \lambda$ ; confidence 0.932

126. s0913909.png ; $\frac { x ^ { 2 } } { p } - \frac { y ^ { 2 } } { q } = 2 z$ ; confidence 0.932

127. t12005046.png ; $d f _ { x } : R ^ { n } \rightarrow R ^ { p }$ ; confidence 0.932

128. l058590189.png ; $x , y , x y \in U _ { 1 }$ ; confidence 0.932

129. a13017022.png ; $\Pi \circ B$ ; confidence 0.932

130. a011380183.png ; $f _ { 3 } , f _ { 4 }$ ; confidence 0.931

131. p07370068.png ; $k [ G ]$ ; confidence 0.931

132. a01138063.png ; $\infty$ ; confidence 0.931

133. s085590517.png ; $G \backslash H$ ; confidence 0.931

134. b11016019.png ; $f ( x ) = a x + b$ ; confidence 0.931

135. c1103309.png ; $p _ { i } \in S$ ; confidence 0.931

136. s0911009.png ; $\lambda _ { n } = 1 / ( n + 1 ) ^ { s }$ ; confidence 0.931

137. t093150306.png ; $= C$ ; confidence 0.931

138. a011650493.png ; $\mathfrak { F } ( d _ { 1 } / \Phi , \ldots , d _ { k } / \Phi ) = T \Leftrightarrow$ ; confidence 0.931

139. a120050129.png ; $\frac { \partial u } { \partial t } + \sum _ { j = 1 } ^ { m } \alpha _ { j } ( t , u ) \frac { \partial u } { \partial x _ { j } } = f ( t , u )$ ; confidence 0.931

140. u09541040.png ; $U = U _ { 1 } \supset \ldots \supset U _ { s } = \{ e \}$ ; confidence 0.931

141. a01130062.png ; $\gamma ( x )$ ; confidence 0.931

142. a11001077.png ; $\delta x = A ^ { - 1 } r$ ; confidence 0.931

143. a01138032.png ; $x \& y$ ; confidence 0.931

144. a01086029.png ; $M ^ { * } \rightarrow M ^ { * * * } \rightarrow M ^ { * }$ ; confidence 0.931

145. h04741014.png ; $t ^ { 0 } \neq a ^ { 2 }$ ; confidence 0.931

146. a01064020.png ; $d ( m )$ ; confidence 0.930

147. c02172031.png ; $b _ { k } ^ { \prime } = ( - 1 ) ^ { k + 1 } b _ { k }$ ; confidence 0.930

148. c02389043.png ; $\{ d F _ { i } \} _ { 1 } ^ { m }$ ; confidence 0.930

149. h04774059.png ; $0 \rightarrow A ^ { \prime } \rightarrow A \rightarrow A ^ { \prime \prime } \rightarrow 0$ ; confidence 0.930

150. m11011038.png ; $\square _ { q } F _ { p - 1 }$ ; confidence 0.930

151. m11013015.png ; $E S$ ; confidence 0.930

152. m064190102.png ; $u | _ { \Gamma } = \psi$ ; confidence 0.930

153. t094530109.png ; $\sum ( k _ { i } - 1 )$ ; confidence 0.930

154. z13010033.png ; $\forall y ( \neg y \in x )$ ; confidence 0.930

155. r07763061.png ; $k [ G ] _ { \chi } = \{ f \in k [ G ] : f ( g b ) = \chi ( b ) f ( g ) \forall b \in B , g \in G \}$ ; confidence 0.930

156. a1201601.png ; $u _ { i } ( t )$ ; confidence 0.930

157. d034120209.png ; $H _ { c } ^ { p } ( X , F )$ ; confidence 0.930

158. q076310136.png ; $R = ( \rho \otimes \rho ) ( R ) \in \operatorname { End } ( k ^ { n } \otimes k ^ { n } )$ ; confidence 0.930

159. a01012020.png ; $\lambda _ { n } = n ^ { 1 / \rho } l ( n )$ ; confidence 0.930

160. c022370215.png ; $1$ ; confidence 0.929

161. a13004012.png ; $n = 2$ ; confidence 0.929

162. a1202208.png ; $| x | | \leq 1$ ; confidence 0.929

163. a13008058.png ; $X \leftarrow m + s ( U _ { 1 } + U _ { 2 } - 1 )$ ; confidence 0.929

164. r081460129.png ; $V _ { \lambda } ^ { 0 } \subset V _ { \lambda }$ ; confidence 0.929

165. w12019047.png ; $P = - i \hbar \nabla _ { x }$ ; confidence 0.929

166. f12011058.png ; $\Delta _ { k }$ ; confidence 0.929

167. k11007016.png ; $= \{ f : \pi ^ { - 1 } ( U ) \rightarrow k : f ( g b ) = f ( g ) \chi ( b ) , g \in G , b \in B \}$ ; confidence 0.929

168. o07001078.png ; $G$ ; confidence 0.929

169. s08683012.png ; $B _ { i } / B _ { i + 1 }$ ; confidence 0.929

170. a130240374.png ; $F = Z _ { 1 } M _ { E } ^ { - 1 } Z _ { 1 } ^ { \prime }$ ; confidence 0.929

171. a12012072.png ; $( A , I )$ ; confidence 0.928

172. a12011025.png ; $T ( 0 , n ) = 2 n$ ; confidence 0.928

173. d034120345.png ; $L _ { z } F ( z , \zeta )$ ; confidence 0.928

174. a01021044.png ; $B _ { i j } = \int _ { b _ { j } } \phi _ { i }$ ; confidence 0.928

175. a01086020.png ; $\zeta : M ^ { * } \otimes _ { R } C \rightarrow \operatorname { Hom } _ { R } ( M , C )$ ; confidence 0.928

176. a11001015.png ; $x$ ; confidence 0.928

177. b1104909.png ; $P _ { 1 }$ ; confidence 0.928

178. r080060177.png ; $\{ r _ { n } + r _ { n } ^ { \prime } \}$ ; confidence 0.928

179. t09323071.png ; $X \rightarrow P L / O$ ; confidence 0.928

180. n06690053.png ; $C ^ { * } ( G , A )$ ; confidence 0.928

181. a130050280.png ; $N _ { G } ^ { \# } ( x ) = \sum _ { n \leq x } G ^ { \# } ( n )$ ; confidence 0.928

182. a010810102.png ; $m < 2 n$ ; confidence 0.927

183. h047970119.png ; $\epsilon : A \rightarrow K$ ; confidence 0.927

184. a110010284.png ; $C u = \lambda B u$ ; confidence 0.927

185. a01021038.png ; $\delta _ { i i } = 1$ ; confidence 0.927

186. m06530022.png ; $\otimes _ { i = 1 } ^ { n } E _ { i } \rightarrow F$ ; confidence 0.927

187. a01146041.png ; $X _ { y }$ ; confidence 0.927

188. a01084024.png ; $M ^ { * }$ ; confidence 0.927

189. a014170107.png ; $j : X \times \Gamma \rightarrow H$ ; confidence 0.927

190. a01070026.png ; $( \alpha , c ) \in A \oplus C$ ; confidence 0.927

191. a0108002.png ; $\overline { \Gamma }$ ; confidence 0.926

192. a011650223.png ; $A _ { \alpha } = \langle A _ { \alpha } , \Omega \rangle$ ; confidence 0.926

193. a13007073.png ; $n ^ { \prime }$ ; confidence 0.926

194. k055520124.png ; $\frac { 1 } { 2 \pi } \{ \text { hyperbolic area of } \Omega \backslash \Gamma \} \leq 2 ( N - 1 )$ ; confidence 0.926

195. s13062062.png ; $m _ { 0 } ( \lambda ) = A + \int _ { - \infty } ^ { \infty } ( \frac { 1 } { t - \lambda } - \frac { t } { t ^ { 2 } + 1 } ) d \rho _ { 0 } ( t )$ ; confidence 0.926

196. l05872057.png ; $\phi ( x ^ { [ p ] } ) = ( \phi ( x ) ) ^ { [ p ] } , \quad x \in L$ ; confidence 0.926

197. a120050131.png ; $R \times R ^ { m }$ ; confidence 0.926

198. t13013071.png ; $D ^ { b } ( \Lambda )$ ; confidence 0.926

199. a13006019.png ; $P _ { N } ( n )$ ; confidence 0.926

200. f04037017.png ; $p \leq k \leq \operatorname { prof } F - q - 1$ ; confidence 0.925

201. q076310111.png ; $A \otimes A$ ; confidence 0.925

202. a012460143.png ; $Q _ { 1 }$ ; confidence 0.925

203. n06743015.png ; $\sum _ { k = 1 } ^ { \infty } \| u _ { k } \| = \sum _ { k = 1 } ^ { \infty } 1 / k$ ; confidence 0.925

204. q076820199.png ; $f ( \xi _ { T } ( t ) )$ ; confidence 0.925

205. j05427040.png ; $Q = \left( \begin{array} { l l } { 0 } & { 1 } \\ { 1 } & { 0 } \end{array} \right)$ ; confidence 0.925

206. e03696087.png ; $\eta = ( n _ { j } ) _ { j \in J }$ ; confidence 0.924

207. a110010156.png ; $\delta x = [ ( A + \delta A ) ^ { + } - A ^ { + } ] b + ( A + \delta A ) ^ { + } \delta b$ ; confidence 0.924

208. a01021037.png ; $A _ { j } = \int _ { \alpha _ { j } } \phi _ { i } = \delta _ { i j }$ ; confidence 0.924

209. d031830305.png ; $u _ { A } = u _ { B }$ ; confidence 0.924

210. a11017024.png ; $f +$ ; confidence 0.924

211. a110420150.png ; $K _ { 0 } ( \varphi )$ ; confidence 0.924

212. c0223301.png ; $a ( r )$ ; confidence 0.924

213. g04328069.png ; $H _ { i } ( x ^ { \prime } ) > H _ { i } ( x ^ { \prime \prime } )$ ; confidence 0.924

214. m06256075.png ; $K _ { y } ^ { \alpha }$ ; confidence 0.924

215. l059250116.png ; $SK _ { 1 }$ ; confidence 0.924

216. a110040105.png ; $L = O _ { A } ( C )$ ; confidence 0.924

217. c02372067.png ; $f _ { D } ( z )$ ; confidence 0.924

218. o06837070.png ; $\alpha \in \Delta$ ; confidence 0.924

219. a130040751.png ; $r \in R$ ; confidence 0.924

220. a11001075.png ; $r = A x - b$ ; confidence 0.924

221. a13007078.png ; $\rightarrow \infty \operatorname { log } Q ( x ) / \operatorname { log } \operatorname { log } x \geq 5 / 48$ ; confidence 0.924

222. h047410109.png ; $\beta = \alpha \cdot \sigma ( \alpha ) ^ { - 1 }$ ; confidence 0.924

223. s08708024.png ; $b \in M$ ; confidence 0.923

224. a130240497.png ; $\beta _ { 11 } = \beta _ { 21 }$ ; confidence 0.923

225. a12012013.png ; $v = ( v _ { j } )$ ; confidence 0.923

226. a1101608.png ; $n = 100,000$ ; confidence 0.923

227. d03353065.png ; $p ^ { m }$ ; confidence 0.923

228. a011450162.png ; $P _ { k } ^ { 1 }$ ; confidence 0.923

229. a13007077.png ; $Q ( x ) \geq \operatorname { Clog } x \operatorname { log } \operatorname { log } x / ( \operatorname { log } \operatorname { log } \operatorname { log } x ) ^ { 2 }$ ; confidence 0.923

230. d03412066.png ; $\{ H _ { r } ( X , A ) , f * , \partial \}$ ; confidence 0.923

231. a014170106.png ; $( X , H )$ ; confidence 0.923

232. a110420134.png ; $K _ { 0 } ( I ) \rightarrow K _ { 0 } ( A )$ ; confidence 0.923

233. h046010125.png ; $M _ { 2 } \times S ^ { N }$ ; confidence 0.923

234. h0481908.png ; $\nu = 0$ ; confidence 0.923

235. j13007031.png ; $L = \angle \operatorname { lim } _ { z \rightarrow \omega } f ( z )$ ; confidence 0.923

236. p12017067.png ; $I$ ; confidence 0.923

237. s0855608.png ; $| \sigma ^ { n } |$ ; confidence 0.923

238. s09017045.png ; $E$ ; confidence 0.923

239. t093150395.png ; $A \wedge B$ ; confidence 0.923

240. a01012056.png ; $f ^ { \langle n _ { k } \rangle } ( \lambda _ { k } ) = 0$ ; confidence 0.923

241. d034120244.png ; $H _ { c } ^ { n - p - 1 } ( X \backslash Y , \operatorname { Hom } ( F , \Omega ) )$ ; confidence 0.923

242. a01012071.png ; $f ^ { \langle \nu _ { k } \rangle } ( 1 ) = 0$ ; confidence 0.923

243. a11001053.png ; $A = \left( \begin{array} { c c } { 10 ^ { 5 } } & { 0 } \\ { 0 } & { 10 ^ { - 5 } } \end{array} \right)$ ; confidence 0.923

244. t130140146.png ; $( I , \preceq )$ ; confidence 0.923

245. a011660124.png ; $x \in B$ ; confidence 0.923

246. a01068048.png ; $Q ( n )$ ; confidence 0.923

247. a130050157.png ; $c > 1$ ; confidence 0.923

248. a130080109.png ; $U \geq f ( X ) / h ( X )$ ; confidence 0.922

249. l05861076.png ; $G _ { C }$ ; confidence 0.922

250. b11042025.png ; $V _ { k } \varphi ( x ) = \varphi ( x - h )$ ; confidence 0.922

251. c022780128.png ; $\Omega _ { fr } ^ { - i } = \Omega _ { i } ^ { fr } = \pi _ { i + N } ( S ^ { N } )$ ; confidence 0.922

252. f110160161.png ; $\mathfrak { A } \sim _ { l } \mathfrak { B }$ ; confidence 0.922

253. e03696071.png ; $( y _ { j } ) _ { j \in J }$ ; confidence 0.922

254. c02333037.png ; $X \rightarrow Y$ ; confidence 0.922

255. a1100101.png ; $f ( \alpha , x ) = 0$ ; confidence 0.922

256. a130240484.png ; $\beta _ { i 0 } + \beta _ { i 1 } t + \ldots + \beta _ { i k } t ^ { k }$ ; confidence 0.922

257. a130040235.png ; $i \in I$ ; confidence 0.922

258. a13007075.png ; $n ^ { \prime } / n \leq 1 + 1 / \sqrt { \operatorname { log } n }$ ; confidence 0.921

259. a12011017.png ; $A ( i , 0 ) = A ( i - 1,1 ) \text { for } i \geq 1 , A ( i , n ) = A ( i - 1 , A ( i , n - 1 ) ) \text { for } i \geq 1 , n$ ; confidence 0.921

260. a110610104.png ; $Z = \int _ { A } D A \sqrt { \operatorname { det } ( / \partial _ { A } ^ { * } / \partial _ { A } ) } \operatorname { exp } [ - \| F \| ^ { 2 } ]$ ; confidence 0.921

261. d03428088.png ; $S _ { g } ( w _ { 0 } )$ ; confidence 0.921

262. i0513609.png ; $\int f _ { 1 } ( x ) d x \quad \text { and } \quad \int f _ { 2 } ( x ) d x$ ; confidence 0.921

263. l11016049.png ; $n ^ { O ( n ) } M ^ { O ( 1 ) }$ ; confidence 0.921

264. a01081048.png ; $C ^ { * } ( I )$ ; confidence 0.921

265. d034120175.png ; $H ^ { p } ( X , F ) \times H _ { c } ^ { n - p } ( X , \operatorname { Hom } ( F , \Omega ) ) \rightarrow H _ { c } ^ { n } ( X , \Omega )$ ; confidence 0.921

266. a12005068.png ; $A u \in C ( [ 0 , T ] ; X )$ ; confidence 0.921

267. r07767017.png ; $S K _ { 1 } ( D )$ ; confidence 0.921

268. c02593025.png ; $y \in W$ ; confidence 0.920

269. d03121061.png ; $i$ ; confidence 0.920

270. a110040219.png ; $\varphi _ { L } : A \hookrightarrow P ^ { 7 }$ ; confidence 0.920

271. a01130017.png ; $( * ) : 1 \rightarrow B _ { \alpha } \rightarrow G / K _ { \alpha } ^ { \prime } \rightarrow J ^ { \alpha } \rightarrow 1$ ; confidence 0.920

272. s085590634.png ; $\Delta = ( F _ { x x } ^ { \prime \prime } ) _ { 0 } ( F _ { y y } ^ { \prime \prime } ) _ { 0 } - ( F _ { x y } ^ { \prime \prime } ) _ { 0 } ^ { 2 }$ ; confidence 0.920

273. a11032034.png ; $n _ { S } < n$ ; confidence 0.920

274. t120010124.png ; $b _ { 2 } i + 1 ( S ) = 0$ ; confidence 0.920

275. b0172908.png ; $\Gamma \subset M _ { A }$ ; confidence 0.920

276. e0357604.png ; $f : W \rightarrow R$ ; confidence 0.920

277. p1101505.png ; $x \preceq y \Rightarrow z x t \preceq x y t$ ; confidence 0.920

278. b11085034.png ; $K G$ ; confidence 0.920

279. a130040575.png ; $S 5 ^ { S }$ ; confidence 0.919

280. a01095075.png ; $\omega _ { j } ^ { i } = \Gamma _ { j k } ^ { i } d x ^ { k }$ ; confidence 0.919

281. a130040728.png ; $P \subseteq P ^ { \prime }$ ; confidence 0.919

282. d03125086.png ; $\Omega _ { X / Y } ^ { 1 }$ ; confidence 0.919

283. e03684025.png ; $A = \operatorname { lim } _ { n \rightarrow \infty } C _ { n } = ( 1 + \frac { 1 } { 4 } + \frac { 1 } { 16 } + \ldots ) C _ { 1 } = \frac { 4 } { 3 } C _ { 1 }$ ; confidence 0.919

284. l05715028.png ; $3 N + k + m$ ; confidence 0.919

285. p110120428.png ; $P _ { n } ( f )$ ; confidence 0.919

286. t12006058.png ; $N \geq Z$ ; confidence 0.919

287. a110010131.png ; $\epsilon A _ { 1 }$ ; confidence 0.919

288. a12005095.png ; $S A ( t ) S ^ { - 1 } = A ( t ) + B ( t ) , \quad t \in [ 0 , T ]$ ; confidence 0.919

289. a11016066.png ; $C _ { m }$ ; confidence 0.919

290. a01164011.png ; $p ^ { ( 1 ) } = ( K _ { V } ^ { 2 } ) + 1 = \operatorname { deg } ( c _ { 1 } ^ { 2 } ) + 1$ ; confidence 0.919

291. c02347054.png ; $n _ { \alpha } = \operatorname { dim } R ^ { \alpha }$ ; confidence 0.918

292. a11040025.png ; $T ^ { \odot } = \{ T ^ { * } ( t ) | _ { X ^ { \odot } } \} _ { t \geq 0 }$ ; confidence 0.918

293. a010210115.png ; $\alpha$ ; confidence 0.918

294. a01024089.png ; $g > 1$ ; confidence 0.918

295. a11030029.png ; $\{ v _ { \alpha } : \alpha \in A \}$ ; confidence 0.918

296. a01095061.png ; $L \in M$ ; confidence 0.918

297. t13013042.png ; $( T , F )$ ; confidence 0.918

298. a013180158.png ; $\| T _ { M } \|$ ; confidence 0.918

299. c11013026.png ; $f \in C ^ { k }$ ; confidence 0.918

300. c0264808.png ; $\alpha _ { i } : A _ { i } \rightarrow X$ ; confidence 0.918

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/14. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/14&oldid=43889