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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 16 with 300 lines: Updated image/latex database (currently 4546 images latexified; order by Confidence, ascending: False.)
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== List ==
 
== List ==
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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
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1. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a0102403.png ; $Z , W$ ; confidence 0.401
  
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2. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010600/a01060019.png ; $H _ { \hat { j } }$ ; confidence 0.205
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2. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072830/p07283021.png ; $\epsilon _ { i j } ^ { k }$ ; confidence 0.400
  
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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/a010/a010180/a01018031.png ; $A _ { x } = \alpha _ { 1 } + \ldots + \alpha _ { x }$ ; confidence 0.399
  
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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/l/l060/l060090/l060090100.png ; $\operatorname { dim } Z \cap \overline { S _ { k + q + 1 } } ( F | _ { X \backslash Z } ) \leq k$ ; confidence 0.399
  
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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/a130/a130040/a13004099.png ; $\psi \in S$ ; confidence 0.398
  
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6. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010162.png ; $\hat { \kappa } ( A )$ ; confidence 0.201
+
6. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010420/a0104209.png ; $\{ X _ { n } \}$ ; confidence 0.398
  
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7. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022086.png ; $\alpha _ { j k }$ ; confidence 0.201
+
7. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052150/i0521507.png ; $\forall x ( P ( x ) \vee \neg P ( x ) ) \wedge \neg \neg \neg x P ( x ) \supset \exists x P ( x )$ ; confidence 0.397
  
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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/a/a110/a110420/a11042079.png ; $25$ ; confidence 0.396
  
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9. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020740/c020740146.png ; $\alpha \rightarrow \dot { b }$ ; confidence 0.200
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9. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022033.png ; $5$ ; confidence 0.396
  
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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/b/b120/b120500/b12050014.png ; $M _ { t } : = \operatorname { sup } _ { s \leq t } W _ { s }$ ; confidence 0.396
  
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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/r/r081/r081560/r081560116.png ; $R _ { V } = \frac { 1 } { ( 2 \pi i ) ^ { n } } \int _ { \sigma _ { V } } f ( z ) d z$ ; confidence 0.396
  
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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/a/a010/a010210/a01021070.png ; $P _ { 2 }$ ; confidence 0.396
  
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13. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004045.png ; $a$ ; confidence 0.199
+
13. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027180/c02718064.png ; $H ( K )$ ; confidence 0.395
  
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14. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033420/d03342015.png ; $\sigma _ { k }$ ; confidence 0.198
+
14. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030020/d030020144.png ; $\operatorname { gr } D _ { X }$ ; confidence 0.395
  
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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/e/e110/e110080/e11008028.png ; $P _ { n } ( f ) = \int _ { S } f d P _ { n } = \frac { 1 } { n } \sum _ { i = 1 } ^ { n } f ( X _ { i } )$ ; confidence 0.394
  
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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/a/a010/a010120/a01012057.png ; $k = 0,1 , \ldots ,$ ; confidence 0.393
  
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17. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120190/e12019037.png ; $l _ { x }$ ; confidence 0.196
+
17. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040281.png ; $X \rightarrow y$ ; confidence 0.392
  
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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/t/t093/t093570/t0935701.png ; $x = \pm \alpha \operatorname { ln } \frac { \alpha + \sqrt { \alpha ^ { 2 } - y ^ { 2 } } } { y } - \sqrt { \alpha ^ { 2 } - y ^ { 2 } }$ ; confidence 0.391
  
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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/a110/a110010/a110010194.png ; $\hat { \lambda } I - A - \delta A = ( \hat { \lambda } I - A ) [ I - ( \hat { \lambda } I - A ) ^ { - 1 } \delta A$ ; confidence 0.391
  
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20. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001010.png ; $\delta _ { a }$ ; confidence 0.195
+
20. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040181.png ; $\alpha \in G$ ; confidence 0.390
  
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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/a/a110/a110010/a11001086.png ; $\| \delta x \| = \| A ^ { - 1 } B ^ { - 1 } B N \| =$ ; confidence 0.390
  
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22. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022046.png ; $v$ ; confidence 0.193
+
22. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001061.png ; $| \delta b | \leq \epsilon | b |$ ; confidence 0.389
  
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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/c/c022/c022780/c022780377.png ; $1 B S G$ ; confidence 0.389
  
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24. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083330/s0833306.png ; $\phi _ { \mathscr { A } } ( . )$ ; confidence 0.193
+
24. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240508.png ; $E ( Z _ { 13 } ) = 0$ ; confidence 0.388
  
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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/d/d032/d032330/d03233041.png ; $r : h \rightarrow f ( x _ { 0 } + h ) - f ( x _ { 0 } ) - h _ { 0 } ( h )$ ; confidence 0.388
  
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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/a/a120/a120060/a1200601.png ; $\left. \begin{array} { c } { \frac { \partial u } { \partial t } + \sum _ { j = 1 } ^ { m } \alpha _ { j } ( x ) \frac { \partial u } { \partial x _ { j } } + c ( x ) u = f ( x , t ) } \\ { ( x , t ) \in \Omega \times [ 0 , T ] } \\ { u ( x , 0 ) = u _ { 0 } ( x ) , \quad x \in \Omega } \end{array} \right.$ ; confidence 0.387
  
−
27. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110490/c1104902.png ; $\sqrt { 2 }$ ; confidence 0.191
+
27. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006018.png ; $P _ { B }$ ; confidence 0.385
  
−
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/a/a110/a110640/a1106409.png ; $S U N$ ; confidence 0.385
  
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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/t/t130/t130040/t13004015.png ; $( n + 1 ) a _ { n + 1 } + \alpha _ { n } = \tau$ ; confidence 0.385
  
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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/a130/a130240/a13024066.png ; $y _ { i j k } = \mu + \alpha _ { i } + \beta _ { j } + \gamma _ { i j } + e _ { j k }$ ; confidence 0.384
  
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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/b/b110/b110990/b11099015.png ; $P _ { \alpha }$ ; confidence 0.384
  
−
32. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010125.png ; $\dot { i } \leq n$ ; confidence 0.190
+
32. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041320/f04132023.png ; $v _ { 0 } ^ { k }$ ; confidence 0.384
  
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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/c/c120/c120280/c1202805.png ; $X *$ ; confidence 0.383
  
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34. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040133.png ; $\Lambda _ { D } T$ ; confidence 0.189
+
34. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010020/a0100204.png ; $\{ E _ { n _ { 1 } } \ldots n _ { k } \}$ ; confidence 0.382
  
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35. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026010/c026010308.png ; $v _ { ( E ) } = v$ ; confidence 0.188
+
35. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013023.png ; $= \operatorname { exp } ( x P _ { 0 } z + \sum _ { r = 1 } ^ { \infty } Q _ { 0 } z ^ { r } ) g ( z ) . . \operatorname { exp } ( - x P _ { 0 } z - \sum _ { r = 1 } ^ { \infty } Q _ { 0 } z ^ { \gamma } )$ ; confidence 0.382
  
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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/i/i050/i050970/i05097047.png ; $F ( M ^ { k } ) \subset \nabla \square ^ { n }$ ; confidence 0.382
  
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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/a110010/a110010222.png ; $E$ ; confidence 0.382
  
−
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/a110/a110010/a110010196.png ; $( \hat { \lambda } I - A ) ^ { - 1 } = T ( \hat { \lambda } I - \Lambda ) ^ { - 1 } T ^ { - 1 }$ ; confidence 0.382
  
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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/a010/a010460/a01046064.png ; $x , h \in X$ ; confidence 0.382
  
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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/a130/a130040/a130040405.png ; $P _ { U } K$ ; confidence 0.381
  
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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/c/c025/c025920/c02592019.png ; $631$ ; confidence 0.381
  
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42. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013090.png ; $N$ ; confidence 0.183
+
42. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012029.png ; $| \lambda _ { X } | \leq ( n + 1 ) ^ { \alpha - 1 }$ ; confidence 0.381
  
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43. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023530/c023530133.png ; $\Pi ^ { N } \tau$ ; confidence 0.183
+
43. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010330/a01033016.png ; $\beta _ { y }$ ; confidence 0.380
  
−
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/a/a010/a010210/a01021055.png ; $a - 1$ ; confidence 0.380
  
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45. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001088.png ; $\hat { v } ^ { ( S ) }$ ; confidence 0.182
+
45. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a1301307.png ; $Q$ ; confidence 0.380
  
−
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/s/s087/s087780/s08778021.png ; $w ^ { \prime }$ ; confidence 0.380
  
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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/a130/a130040/a130040213.png ; $^ { * } S \text { s } 5$ ; confidence 0.380
  
−
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/a/a010/a010200/a01020088.png ; $\phi \gamma$ ; confidence 0.380
  
−
49. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043280/g0432804.png ; $\hat { K } _ { i }$ ; confidence 0.180
+
49. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010108.png ; $Sp ( 0 )$ ; confidence 0.378
  
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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/v/v096/v096350/v09635060.png ; $\left. \begin{array} { l l l } { \alpha _ { 1 } } & { \alpha _ { 2 } } & { \alpha _ { 3 } } \\ { b _ { 1 } } & { b _ { 2 } } & { b _ { 3 } } \\ { c _ { 1 } } & { c _ { 2 } } & { c _ { 3 } } \end{array} \right| = 0$ ; confidence 0.378
  
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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/a/a130/a130240/a130240236.png ; $n - r$ ; confidence 0.377
  
−
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/a/a120/a120150/a12015019.png ; $( g )$ ; confidence 0.376
  
−
53. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120040/n1200405.png ; $A _ { i \psi }$ ; confidence 0.179
+
53. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010246.png ; $( A - \hat { \lambda } I ) x ^ { ( i + 1 ) } = x ^ { ( i ) } , \quad i = 1 , \ldots , n$ ; confidence 0.376
  
−
54. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072850/p0728502.png ; $_ { k }$ ; confidence 0.179
+
54. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110120/p110120321.png ; $4 x$ ; confidence 0.375
  
−
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/a130/a130130/a1301305.png ; $P = P _ { 0 } z + P _ { 1 } : = \left( \begin{array} { c c } { - i } & { 0 } \\ { 0 } & { i } \end{array} \right) z + \left( \begin{array} { l l } { 0 } & { q } \\ { r } & { 0 } \end{array} \right)$ ; confidence 0.374
  
−
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/h/h047/h047160/h0471603.png ; $H ( z ) = \sum _ { i = 1 } ^ { n } \sum _ { j = 1 } ^ { n } a _ { i j } z _ { i } z _ { j }$ ; confidence 0.374
  
−
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/k/k055/k055850/k055850103.png ; $D _ { \alpha }$ ; confidence 0.374
  
−
58. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013083.png ; $C$ ; confidence 0.175
+
58. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240377.png ; $T ^ { 2 }$ ; confidence 0.373
  
−
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/b/b017/b017030/b01703046.png ; $\mathfrak { M } _ { n }$ ; confidence 0.373
  
−
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/c/c120/c120080/c12008028.png ; $A _ { j } A _ { k l } = A _ { k l } A _ { j }$ ; confidence 0.372
  
−
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/a110/a110010/a110010139.png ; $i = 1 , \dots , r$ ; confidence 0.372
  
−
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/i/i053/i053020/i05302096.png ; $\beta _ { k } q _ { k + 1 } = A q _ { k } - \beta _ { k - 1 } q _ { k - 1 } - \alpha _ { k } q _ { k k }$ ; confidence 0.371
  
−
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/s/s087/s087030/s0870309.png ; $f _ { h } \in U _ { k }$ ; confidence 0.371
  
−
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/f/f041/f041060/f041060205.png ; $d _ { C } ^ { - 1 } = \operatorname { det } \left\| \begin{array} { c c } { \phi _ { \theta } \theta } & { \phi _ { \theta x } } \\ { \phi _ { y } \theta } & { \phi _ { y x } } \end{array} \right\|$ ; confidence 0.370
  
−
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/a130040/a130040452.png ; $\psi _ { 0 } , \ldots , \psi _ { n - 1 } \vDash _ { K } \varphi$ ; confidence 0.369
  
−
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/a/a010/a010210/a0102104.png ; $a _ { 1 } b _ { 1 } \ldots a _ { 8 } b _ { 8 }$ ; confidence 0.369
  
−
67. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022012.png ; $w ^ { r } v$ ; confidence 0.171
+
67. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050260.png ; $\pi _ { C } ^ { \# } ( x ) = \sum _ { n \leq x } P _ { C } ^ { \# } ( n )$ ; confidence 0.369
  
−
68. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012075.png ; $a _ { U _ { 2 } }$ ; confidence 0.171
+
68. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013099.png ; $z \in C$ ; confidence 0.369
  
−
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/a/a011/a011640/a011640127.png ; $M = 10 p _ { t x } - p _ { g } - 2 p ^ { ( 1 ) } + 12 + \theta$ ; confidence 0.369
  
−
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/a010/a010290/a01029055.png ; $\overline { a } X = \beta a X = \alpha \beta X$ ; confidence 0.369
  
−
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/a110010/a110010168.png ; $\hat { k } ( \alpha + \beta )$ ; confidence 0.369
  
−
72. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a11068093.png ; $L f \theta$ ; confidence 0.169
+
72. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010206.png ; $z \leq | ( \hat { \lambda } I - \Lambda ) ^ { - 1 } | | T ^ { - 1 } | | \delta A | | T | z |$ ; confidence 0.368
  
−
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/a130/a130240/a13024056.png ; $i = 1 , \ldots , I$ ; confidence 0.368
  
−
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/a120/a120050/a120050124.png ; $Z ( t , u )$ ; confidence 0.368
  
−
75. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087790/s08779013.png ; $RP ^ { \infty }$ ; confidence 0.165
+
75. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012023.png ; $A _ { r } ^ { \alpha }$ ; confidence 0.368
  
−
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/a/a110/a110010/a110010113.png ; $\delta b = H . | b$ ; confidence 0.368
  
−
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/a/a110/a110410/a11041070.png ; $K _ { X } ^ { v } \otimes L ^ { i }$ ; confidence 0.368
  
−
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/f/f120/f120150/f120150202.png ; $n \| < C$ ; confidence 0.368
  
−
79. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002017.png ; $N$ ; confidence 0.161
+
79. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075660/p07566043.png ; $\partial _ { x } = \partial / \partial x$ ; confidence 0.368
  
−
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/p/p075/p075190/p07519074.png ; $E _ { i j }$ ; confidence 0.366
  
−
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/a/a130/a130040/a130040410.png ; $Mod ^ { * } L D = Mod ^ { * } S _ { D }$ ; confidence 0.366
  
−
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/a130/a130040/a130040245.png ; $x \approx y = | \operatorname { K } K ( E ( x , y ) ) \approx L ( E ( x , y ) )$ ; confidence 0.366
  
−
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/a/a010/a010220/a01022067.png ; $m$ ; confidence 0.365
  
−
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/a/a010/a010120/a01012076.png ; $f ( z ) = \sum _ { k = 0 } ^ { \infty } \alpha _ { \nu _ { k } } z ^ { \nu _ { k } }$ ; confidence 0.364
  
−
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/a/a110/a110010/a110010286.png ; $( \hat { \lambda } B - C ) ^ { - 1 } = P ( \hat { \lambda } I - \Lambda ) ^ { - 1 } Q$ ; confidence 0.363
  
−
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/d/d032/d032330/d03233040.png ; $b _ { 0 }$ ; confidence 0.363
  
−
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/l/l130/l130060/l13006070.png ; $\frac { 1 } { 4 n } \operatorname { max } \{ \alpha _ { i } : 0 \leq i \leq t \} \leq \Delta _ { 2 } \leq \frac { 1 } { 4 n } ( \sum _ { i = 0 } ^ { t } \alpha _ { i } + 2 )$ ; confidence 0.363
  
−
88. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057590/l05759015.png ; $\sqrt { 2 }$ ; confidence 0.155
+
88. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110080/a11008029.png ; $c u _ { x t } = u _ { t t } - \frac { 1 } { 2 } c ^ { 2 } u _ { y y }$ ; confidence 0.363
  
−
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/a/a130/a130040/a130040316.png ; $h ( x ) = a , \ldots , h ( w ) = d$ ; confidence 0.362
  
−
90. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040102.png ; $G$ ; confidence 0.152
+
90. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050133.png ; $\alpha ; ( \ldots )$ ; confidence 0.362
  
−
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/a110/a110010/a110010135.png ; $\| ( A + \delta A ) ^ { + } \| _ { 2 } \leq \frac { \| A ^ { + } \| _ { 2 } } { 1 - \| A ^ { + } \| _ { 2 } \| ^ { \delta A \| _ { 2 } } }$ ; confidence 0.362
  
−
92. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600198.png ; $N _ { 0 }$ ; confidence 0.151
+
92. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032320/d03232015.png ; $u _ { R } ^ { k } ( x ) = \sum _ { i = 1 } ^ { n } u _ { i } a _ { i } ^ { k } ( x )$ ; confidence 0.362
  
−
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/s/s090/s090670/s09067035.png ; $j _ { X } ^ { k } ( u )$ ; confidence 0.362
  
−
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/b015/b015390/b01539040.png ; $E [ L ( \theta , d ) | x ]$ ; confidence 0.361
  
−
95. https://www.encyclopediaofmath.org/legacyimages/l/l061/l061130/l06113042.png ; $\| \alpha _ { j } ^ { i } \|$ ; confidence 0.148
+
95. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094440/t09444040.png ; $u _ { m } = u ( M _ { m } )$ ; confidence 0.360
  
−
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/d/d032/d032150/d032150132.png ; $\hat { V }$ ; confidence 0.359
  
−
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/c/c020/c020950/c02095032.png ; $L u = \sum _ { | \alpha | \leq m } \alpha _ { \alpha } ( x ) \frac { \partial ^ { \alpha } u } { \partial x ^ { \alpha } } = f ( x )$ ; confidence 0.358
  
−
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/a/a110/a110020/a11002013.png ; $g = d \cdot d ^ { \prime - 1 }$ ; confidence 0.357
  
−
99. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020084.png ; $r$ ; confidence 0.144
+
99. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020079.png ; $\alpha = \text { Coker } ( \text { Ker } \alpha ) \theta \text { ker } ( \text { Coker } \alpha )$ ; confidence 0.357
  
−
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/o/o130/o130050/o13005087.png ; $v _ { n } \in G$ ; confidence 0.357
  
−
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/w/w120/w120110/w120110269.png ; $g _ { 1 } = | d x | ^ { 2 } + \frac { | d \xi | ^ { 2 } } { | \xi | ^ { 2 } } \leq g = \frac { | d x | ^ { 2 } } { | x | ^ { 2 } } + \frac { | d \xi | ^ { 2 } } { | \xi | ^ { 2 } }$ ; confidence 0.357
  
−
102. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g043780134.png ; $F = p t$ ; confidence 0.143
+
102. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b120210148.png ; $\mathfrak { p } \supset b$ ; confidence 0.356
  
−
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/a/a130/a130040/a130040365.png ; $\tilde { \Omega } _ { D } F = \cap \{ \Omega G : F \subseteq G \in Fi _ { D } A \}$ ; confidence 0.356
  
−
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/a/a110/a110040/a1100408.png ; $A = \operatorname { Pic } ^ { 0 } ( A )$ ; confidence 0.355
  
−
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/t/t120/t120010/t12001085.png ; $0$ ; confidence 0.355
  
−
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/m/m063/m063760/m063760111.png ; $0 \rightarrow A \rightarrow B \stackrel { sp } { \rightarrow } \pi * C \rightarrow 0$ ; confidence 0.355
  
−
107. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240331.png ; $p _ { 1 }$ ; confidence 0.141
+
107. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a0104606.png ; $a \in D$ ; confidence 0.354
  
−
108. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086770/s08677096.png ; $5 + 7 n$ ; confidence 0.141
+
108. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013088.png ; $t$ ; confidence 0.354
  
−
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/a/a110/a110630/a11063032.png ; $\rho _ { 0 n + } = \operatorname { sin } A$ ; confidence 0.354
  
−
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/w/w097/w097790/w09779041.png ; $\pi _ { 4 n - 1 } ( S ^ { 2 n } ) \rightarrow \pi _ { 4 n } ( S ^ { 2 n + 1 } )$ ; confidence 0.354
  
−
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/a130/a130130/a1301303.png ; $P _ { 1 } = \left( \begin{array} { c c c } { 0 } & { \square } & { q } \\ { r } & { \square } & { 0 } \end{array} \right) , Q _ { 2 } = \left( \begin{array} { c c } { - \frac { i } { 2 } q r } & { \frac { i } { 2 } q x } \\ { - \frac { i } { 2 } r _ { x } } & { \frac { i } { 2 } q r } \end{array} \right)$ ; confidence 0.352
  
−
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/w/w097/w097510/w09751010.png ; $m _ { k } = \dot { k }$ ; confidence 0.352
  
−
113. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a13001017.png ; $3 + 5$ ; confidence 0.136
+
113. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065460/m06546014.png ; $( \alpha \vee ( b . e ) ) : e = ( \alpha : e ) \vee b$ ; confidence 0.351
  
−
114. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120090/l12009013.png ; $Q _ { A }$ ; confidence 0.136
+
114. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872090.png ; $l _ { k } ( A )$ ; confidence 0.348
  
−
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/a/a110/a110010/a110010288.png ; $| e ^ { A + \delta A } - e ^ { A } \| \leq k ( T ) \cdot \| W \|$ ; confidence 0.347
  
−
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/a010/a010200/a01020036.png ; $M$ ; confidence 0.347
  
−
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/a010/a010210/a01021080.png ; $w _ { 2 }$ ; confidence 0.347
  
−
118. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059110/l05911037.png ; $p i n$ ; confidence 0.132
+
118. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050160.png ; $\sum _ { n = 0 } ^ { \infty } G ^ { \# } ( n ) y ^ { n } = \prod _ { m = 1 } ^ { \infty } ( 1 - y ^ { m } ) ^ { - P ^ { \# } ( m ) }$ ; confidence 0.346
  
−
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/a/a130/a130240/a130240276.png ; $\leq F _ { \alpha ; q , x - \gamma }$ ; confidence 0.345
  
−
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/s/s087/s087690/s0876903.png ; $f _ { h } ( t ) = \frac { 1 } { h } \int _ { t - k / 2 } ^ { t + k / 2 } f ( u ) d u = \frac { 1 } { h } \int _ { - k / 2 } ^ { k / 2 } f ( t + v ) d v$ ; confidence 0.345
  
−
121. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a12031018.png ; $22 ^ { x }$ ; confidence 0.131
+
121. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050215.png ; $\sum _ { n \leq x } S ( n ) = A _ { 2 } x + O ( \sqrt { x } ) \quad \text { as } x \rightarrow \infty$ ; confidence 0.344
  
−
122. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110110/d11011084.png ; $L \cup O$ ; confidence 0.130
+
122. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022034.png ; $x _ { 1 } , \ldots , x _ { p }$ ; confidence 0.344
  
−
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/a/a130/a130040/a13004015.png ; $H _ { D }$ ; confidence 0.344
  
−
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/c/c025/c025720/c02572034.png ; $y _ { 0 } = A _ { x }$ ; confidence 0.344
  
−
125. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001065.png ; $0$ ; confidence 0.129
+
125. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210142.png ; $w$ ; confidence 0.343
  
−
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/l/l060/l060310/l06031040.png ; $R = \{ \alpha \in K : \operatorname { mod } _ { K } ( \alpha ) \leq 1 \}$ ; confidence 0.342
  
−
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/t093/t093150/t093150743.png ; $\left. \begin{array} { c c c } { B _ { i } } & { \stackrel { h _ { i } } { \rightarrow } } & { A _ { i } } \\ { g _ { i } \downarrow } & { \square } & { \downarrow f _ { i } } \\ { B } & { \vec { f } } & { A } \end{array} \right.$ ; confidence 0.342
  
−
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/a/a110/a110010/a110010140.png ; $\sigma _ { 1 } \geq \ldots \geq \sigma _ { \zeta }$ ; confidence 0.342
  
−
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/a130240/a130240488.png ; $( \beta _ { t 0 } , \ldots , \beta _ { i k } )$ ; confidence 0.339
  
−
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/a120/a120050/a12005064.png ; $A ( 0 ) uv + f ( 0 ) \in \overline { D ( A ( 0 ) ) }$ ; confidence 0.339
  
−
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/a/a110/a110070/a11007010.png ; $x _ { 1 } , \ldots , x _ { x } \in X$ ; confidence 0.338
  
−
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/e/e120/e120150/e12015019.png ; $\frac { D \xi ^ { i } } { d t } = \frac { d \xi ^ { i } } { d t } + \frac { 1 } { 2 } g ^ { i } r \xi ^ { r }$ ; confidence 0.338
  
−
133. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t130140169.png ; $q _ { A }$ ; confidence 0.118
+
133. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067110/n06711048.png ; $\phi _ { i } / \partial x _ { Y }$ ; confidence 0.338
  
−
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/a/a110/a110060/a11006044.png ; $F | X _ { t } | ^ { 2 } + \delta$ ; confidence 0.338
  
−
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/a/a130/a130040/a130040515.png ; $\mathfrak { A } = \langle A , C \rangle$ ; confidence 0.337
  
−
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/m/m062/m062360/m06236012.png ; $T _ { i j }$ ; confidence 0.337
  
−
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/g/g043/g043780/g043780168.png ; $T _ { \nu }$ ; confidence 0.336
  
−
138. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030210/d03021016.png ; $2$ ; confidence 0.110
+
138. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010420/a0104204.png ; $S _ { x } = X _ { 1 } + \ldots + X _ { x }$ ; confidence 0.335
  
−
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/a130/a130040/a130040459.png ; $\operatorname { Mod } ^ { * } L D ( K ) = ( SPP _ { U } K ) ^ { * } L$ ; confidence 0.335
  
−
140. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040548.png ; $v$ ; confidence 0.106
+
140. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i050230379.png ; $\| f \| _ { \Lambda _ { p } ^ { r } ( R ^ { n } ) } \leq K$ ; confidence 0.335
  
−
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/l/l057/l057050/l057050123.png ; $c \rightarrow N$ ; confidence 0.335
  
−
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/l/l057/l057150/l05715031.png ; $\mu$ ; confidence 0.335
  
−
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/a130/a130040/a130040638.png ; $\langle N e _ { S _ { P } } \mathfrak { M } , F _ { S _ { P } } \mathfrak { M } \rangle$ ; confidence 0.335
  
−
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/a110/a110010/a11001027.png ; $\frac { \| \delta x \| } { \| x \| } \leq \frac { \| A ^ { - 1 } \delta A \| + \frac { \| A ^ { - 1 } \delta b \| } { | x \| } } { 1 - \| A ^ { - 1 } \delta A \| }$ ; confidence 0.334
  
−
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/a/a130/a130240/a130240184.png ; $\eta _ { i } - \eta _ { s }$ ; confidence 0.334
  
−
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/a130/a130050/a130050146.png ; $\zeta _ { G } ( z ) = \sum _ { x = 1 } ^ { \infty } G ( n ) n ^ { - z } = \sum _ { \alpha \in G } | a | ^ { - z } =$ ; confidence 0.334
  
−
147. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013073.png ; $Q$ ; confidence 0.095
+
147. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085400/s085400325.png ; $\tilde { f } : \Delta ^ { n + 1 } \rightarrow E$ ; confidence 0.333
  
−
148. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083460/s08346028.png ; $\operatorname { Ccm } ( G )$ ; confidence 0.094
+
148. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110470/c11047054.png ; $h : H \rightarrow ( C \bigotimes T M ) / ( H \oplus \overline { H } )$ ; confidence 0.332
  
−
149. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150450.png ; $\operatorname { sin } 0$ ; confidence 0.092
+
149. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120280/c1202808.png ; $F T op$ ; confidence 0.332
  
−
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/r/r082/r082500/r08250032.png ; $\| u - P _ { n } u \| _ { A } \rightarrow 0$ ; confidence 0.332
  
−
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/a/a010/a010420/a0104207.png ; $n = 1,2 , \dots$ ; confidence 0.331
  
−
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/a/a130/a130050/a130050212.png ; $\sum _ { n \leq x } \alpha ( n ) = A _ { 1 } x + O ( \sqrt { x } ) \quad \text { as } x \rightarrow \infty$ ; confidence 0.331
  
−
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/l/l057/l057510/l05751032.png ; $\Delta ( \alpha _ { 1 } \ldots i _ { p } d x ^ { i _ { 1 } } \wedge \ldots \wedge d x ^ { i p } ) =$ ; confidence 0.331
  
−
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/a/a130/a130040/a130040146.png ; $T , \psi \dagger \operatorname { si } \varphi$ ; confidence 0.330
  
−
155. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024018.png ; $E _ { i }$ ; confidence 0.085
+
155. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040271.png ; $p ^ { 4 }$ ; confidence 0.330
  
−
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/c/c020/c020740/c020740394.png ; $( \alpha \circ \beta ) ( c ) _ { d x } = \sum _ { b } \alpha ( b ) _ { a } \beta ( c ) _ { b }$ ; confidence 0.330
  
−
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/c/c120/c120180/c120180420.png ; $C ^ { \infty } ( \tilde { N } )$ ; confidence 0.330
  
−
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/a/a130/a130040/a130040349.png ; $8$ ; confidence 0.330
  
−
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/a010210/a01021095.png ; $L$ ; confidence 0.330
  
−
160. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d12002092.png ; $V _ { V }$ ; confidence 0.082
+
160. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062220/m06222011.png ; $\Delta \lambda _ { i } ^ { \alpha }$ ; confidence 0.329
  
−
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/r/r082/r082210/r08221030.png ; $o = e K$ ; confidence 0.327
  
−
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/a130/a130040/a130040409.png ; $Mod ^ { * } L D = P _ { SD } Mod ^ { * } L _ { D }$ ; confidence 0.326
  
−
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/t/t120/t120010/t12001099.png ; $_ { \nabla } ( G / K )$ ; confidence 0.326
  
−
164. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240422.png ; $1$ ; confidence 0.077
+
164. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110440/b1104407.png ; $\overline { \Xi } \epsilon = 0$ ; confidence 0.326
  
−
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/a/a010/a010120/a01012043.png ; $W _ { 0 }$ ; confidence 0.325
  
−
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/a/a010/a010430/a01043017.png ; $p _ { i k } ^ { * } ( t ) = P \{ \xi ^ { * } ( t ) = h | \xi ^ { * } ( 0 ) = i \} =$ ; confidence 0.325
  
−
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/a/a130/a130040/a130040541.png ; $h ( \psi ^ { i } ) \in C ( \{ h ( \varphi _ { 0 } ^ { i } ) , \ldots , h ( \varphi _ { n _ { i } - 1 } ^ { i } ) \} )$ ; confidence 0.325
  
−
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/a/a120/a120310/a12031010.png ; $N$ ; confidence 0.325
  
−
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/a/a130/a130240/a130240141.png ; $c$ ; confidence 0.324
  
−
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/a010/a010210/a01021085.png ; $C$ ; confidence 0.323
  
−
171. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040245.png ; $I _ { A / P } ^ { B }$ ; confidence 0.075
+
171. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520141.png ; $N _ { 2 } = \left| \begin{array} { c c c c c } { . } & { \square } & { \square } & { \square } & { 0 } \\ { \square } & { . } & { \square } & { \square } & { \square } \\ { \square } & { \square } & { L ( e _ { j } ^ { n _ { i j } } ) } & { \square } & { \square } \\ { \square } & { \square } & { \square } & { . } & { \square } \\ { \square } & { \square } & { \square } & { \square } & { \square } \\ { 0 } & { \square } & { \square } & { \square } & { . } \end{array} \right|$ ; confidence 0.323
  
−
172. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022030/c02203033.png ; $C _ { \omega }$ ; confidence 0.073
+
172. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110070/a11007012.png ; $\{ x _ { k } , a \}$ ; confidence 0.323
  
−
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/a/a130/a130240/a130240339.png ; $\Sigma _ { 1 } = X _ { 4 } ^ { \prime } \Sigma X _ { 4 }$ ; confidence 0.322
  
−
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/f/f041/f041620/f04162020.png ; $X _ { i } \cap X _ { j } =$ ; confidence 0.322
  
−
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/s/s087/s087640/s08764086.png ; $n ( O _ { x } ) = 0$ ; confidence 0.322
  
−
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/t/t120/t120010/t12001033.png ; $[ \xi ^ { \alpha } , \xi ^ { b } ] = 2 \epsilon _ { \alpha b c } \xi ^ { c }$ ; confidence 0.322
  
−
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/b110880/b11088033.png ; $P _ { I } ^ { f } : C ^ { \infty } \rightarrow L$ ; confidence 0.321
  
−
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/k/k110/k110030/k11003029.png ; $\frac { x ^ { \rho + 1 } f ( x ) } { \int _ { x } ^ { x } t ^ { \sigma } f ( t ) d t } \rightarrow \sigma + \rho + 1 \quad ( x \rightarrow \infty )$ ; confidence 0.320
  
−
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/a/a130/a130040/a13004033.png ; $\operatorname { to } \varphi$ ; confidence 0.319
  
−
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/a/a010/a010220/a01022097.png ; $\alpha + b \in C ^ { p }$ ; confidence 0.317
  
−
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/h/h047/h047020/h04702011.png ; $F _ { n } ( x ) = ( x _ { 1 } ^ { 2 } + \ldots + x _ { y } ^ { 2 } ) ^ { 1 / 2 }$ ; confidence 0.316
  
−
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/o/o120/o120010/o12001037.png ; $\left. \begin{array} { l } { \nabla p _ { 1 } = \nabla p _ { 2 } = 0 } \\ { \frac { \partial v _ { 0 } } { \partial t } + [ \nabla v _ { 0 } ] v _ { 0 } = \frac { 1 } { Re } \Delta v _ { 0 } + \operatorname { Re } \nabla p _ { 3 } + \theta _ { 0 } b } \end{array} \right.$ ; confidence 0.316
  
−
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/a/a110/a110070/a11007013.png ; $x \in X ^ { \prime }$ ; confidence 0.315
  
−
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/a130/a130130/a13013078.png ; $q ^ { ( l ) } = 2 i \frac { \tau _ { l } + 1 } { \tau _ { l } } , r ^ { ( l ) } = - 2 i \frac { \tau _ { l } - 1 } { \tau _ { l } }$ ; confidence 0.315
  
−
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/b/b120/b120150/b12015024.png ; $x = \frac { 1 } { n } \sum _ { j = 1 } ^ { n } x$ ; confidence 0.315
  
−
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/c/c024/c024100/c024100277.png ; $\partial _ { r }$ ; confidence 0.315
  
−
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/w/w120/w120100/w12010028.png ; $\nabla _ { i g j k } = \gamma _ { i } g _ { j k }$ ; confidence 0.315
  
−
188. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016610/b01661030.png ; $R _ { y } ^ { t }$ ; confidence 0.060
+
188. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040599.png ; $E _ { S _ { P } }$ ; confidence 0.315
  
−
189. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087300/s08730040.png ; $Q _ { 1 }$ ; confidence 0.060
+
189. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014310/a0143102.png ; $e$ ; confidence 0.314
  
−
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/e/e120/e120230/e12023045.png ; $\therefore M \rightarrow F$ ; confidence 0.313
  
−
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/j/j054/j054050/j05405048.png ; $\theta _ { 3 } ( v \pm \frac { 1 } { 2 } \tau ) = e ^ { - i \pi \tau / 4 } \cdot e ^ { - i \pi v } \cdot \theta _ { 2 } ( v )$ ; confidence 0.312
  
−
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/p/p073/p073400/p07340055.png ; $M ^ { 0 }$ ; confidence 0.312
  
−
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/a110/a110020/a11002049.png ; $m = 2 ^ { a } 3 ^ { b } u ^ { 2 }$ ; confidence 0.311
  
−
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/t/t120/t120010/t12001057.png ; $0$ ; confidence 0.311
  
−
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/a/a010/a010210/a01021060.png ; $A _ { 1 } , \ldots , A _ { 8 }$ ; confidence 0.310
  
−
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/k/k055/k055520/k05552082.png ; $\Gamma 20$ ; confidence 0.310
  
−
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/q/q076/q076830/q07683071.png ; $p _ { m } = ( \sum _ { j = 0 } ^ { m } A _ { j } ) ^ { - 1 }$ ; confidence 0.310
 +
 
 +
198. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310136.png ; $A$ ; confidence 0.309
 +
 
 +
199. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010199.png ; $k ( T ) = \| T \| T ^ { - 1 } \|$ ; confidence 0.308
 +
 
 +
200. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042150/f04215011.png ; $\left. \begin{array} { l l } { F _ { 1 } ( A ) } & { \frac { F _ { 1 } ( \alpha ) } { \rightarrow } } & { F _ { 1 } ( B ) } \\ { \phi _ { A } \downarrow } & { \square } & { \downarrow \phi _ { B } } \\ { F _ { 2 } ( A ) } & { \vec { F _ { 2 } ( \alpha ) } } & { F _ { 2 } ( B ) } \end{array} \right.$ ; confidence 0.308
 +
 
 +
201. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093900/t093900115.png ; $l \mu \frac { \partial W ^ { k } } { \partial x } + ( 1 - c ) W ^ { k } = c ( \Phi _ { 0 } ^ { k } - \phi _ { 0 } ^ { k } )$ ; confidence 0.308
 +
 
 +
202. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010075.png ; $\operatorname { sup } _ { \epsilon > 0 ; \psi \in W } \operatorname { inf } \{ g ( x ) : g \in \operatorname { span } ( M ) , w f \leq w g + \epsilon \} =$ ; confidence 0.307
 +
 
 +
203. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420128.png ; $h$ ; confidence 0.307
 +
 
 +
204. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110110/d11011051.png ; $M _ { 1 } = H \cap _ { k \tau _ { S } } H ^ { \prime }$ ; confidence 0.307
 +
 
 +
205. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i050230319.png ; $f \in S _ { y } ^ { \prime }$ ; confidence 0.307
 +
 
 +
206. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010051.png ; $\sigma \in M$ ; confidence 0.307
 +
 
 +
207. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046087.png ; $P _ { x } ( h )$ ; confidence 0.305
 +
 
 +
208. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010279.png ; $\frac { \| \delta X \| } { \| X \| } \leq \frac { \epsilon \cdot k ( A , B ) } { 1 - \epsilon \cdot k ( A , B ) }$ ; confidence 0.305
 +
 
 +
209. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002024.png ; $F _ { t } | _ { A } = H _ { t }$ ; confidence 0.304
 +
 
 +
210. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005039.png ; $S _ { \theta _ { 0 } } = \{ z \in C : \operatorname { larg } z | \leq \theta _ { 0 } \} \cup \{ 0 \}$ ; confidence 0.304
 +
 
 +
211. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110820/b11082017.png ; $\pi _ { i } / ( \pi _ { i } + \pi _ { j } )$ ; confidence 0.304
 +
 
 +
212. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082790/r08279064.png ; $\operatorname { Pic } ( F ) \cong p ^ { * } \operatorname { Pic } ( C ) \oplus Z ^ { 5 }$ ; confidence 0.304
 +
 
 +
213. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073540/p07354050.png ; $P \{ X _ { v + 1 } = k + 1 | X _ { k } = k \} = \frac { b + k c } { b + r + n c } = \frac { p + k \gamma } { 1 + n \gamma }$ ; confidence 0.303
 +
 
 +
214. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002053.png ; $2 ^ { a + 2 }$ ; confidence 0.302
 +
 
 +
215. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040296.png ; $A / \Theta \in Q$ ; confidence 0.302
 +
 
 +
216. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036910/e03691017.png ; $a ^ { X } = e ^ { X \operatorname { ln } \alpha }$ ; confidence 0.301
 +
 
 +
217. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086940/s086940100.png ; $- \infty \leq w \leq + \infty$ ; confidence 0.301
 +
 
 +
218. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021100/c02110012.png ; $x \in \operatorname { Dom } A$ ; confidence 0.300
 +
 
 +
219. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080850/r08085028.png ; $e \omega ^ { r } f$ ; confidence 0.300
 +
 
 +
220. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900234.png ; $\Pi I _ { \lambda }$ ; confidence 0.300
 +
 
 +
221. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120280/d120280147.png ; $\overline { U }$ ; confidence 0.299
 +
 
 +
222. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057740/l05774010.png ; $\operatorname { lim } _ { n \rightarrow \infty } \operatorname { sup } \frac { S _ { n } } { c _ { n } } = 1 \quad ( \alpha . s . )$ ; confidence 0.299
 +
 
 +
223. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050107.png ; $\Delta$ ; confidence 0.298
 +
 
 +
224. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004029.png ; $\sigma ( \Gamma ) \operatorname { tg } \sigma ( \varphi )$ ; confidence 0.298
 +
 
 +
225. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040382.png ; $F \in Fi _ { D }$ ; confidence 0.298
 +
 
 +
226. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010010.png ; $I$ ; confidence 0.297
 +
 
 +
227. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012035.png ; $W _ { a }$ ; confidence 0.297
 +
 
 +
228. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040152.png ; $C \in | L$ ; confidence 0.296
 +
 
 +
229. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092650/t09265033.png ; $\{ \partial f \rangle$ ; confidence 0.295
 +
 
 +
230. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010016.png ; $x \in I$ ; confidence 0.295
 +
 
 +
231. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010159.png ; $\alpha = \frac { \| \delta A \| _ { 2 } } { \| A \| _ { 2 } } , \quad \hat { \kappa } = \frac { k ( A ) } { 1 - \alpha k ( A ) }$ ; confidence 0.294
 +
 
 +
232. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040513.png ; $A \nmid \Omega C$ ; confidence 0.294
 +
 
 +
233. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014230/a0142305.png ; $\{ A \rangle$ ; confidence 0.294
 +
 
 +
234. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072430/p072430105.png ; $\phi _ { im }$ ; confidence 0.294
 +
 
 +
235. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012040.png ; $n = 0,1 , \ldots$ ; confidence 0.294
 +
 
 +
236. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070150/o07015054.png ; $\alpha ^ { n } < b ^ { n + 1 }$ ; confidence 0.291
 +
 
 +
237. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082160/r082160299.png ; $\{ \operatorname { exp } _ { m } ( \text { Cutval } ( \xi ) \xi ) \} = \text { Cutloc } ( m )$ ; confidence 0.291
 +
 
 +
238. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031380/d031380384.png ; $\sum _ { \mathfrak { D } _ { 1 } ^ { 1 } } ( E \times N ^ { N } )$ ; confidence 0.290
 +
 
 +
239. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044680/g04468049.png ; $t \circ \in E$ ; confidence 0.290
 +
 
 +
240. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052130/i05213037.png ; $\forall y \exists z ( \gamma ( y ) + 1 = \alpha ( g * \overline { \beta } ( z ) ) )$ ; confidence 0.288
 +
 
 +
241. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130230/a13023034.png ; $\| f _ { 1 } - P _ { U \cap V ^ { J } } f \| \leq c ^ { 2 l - 1 } \| f \|$ ; confidence 0.287
 +
 
 +
242. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014190/a0141905.png ; $x _ { y } + 1 = t$ ; confidence 0.287
 +
 
 +
243. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041940/f041940310.png ; $A \in \mathfrak { S }$ ; confidence 0.285
 +
 
 +
244. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040386.png ; $F \subseteq Fi _ { D } A$ ; confidence 0.285
 +
 
 +
245. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004048.png ; $d _ { 2 }$ ; confidence 0.284
 +
 
 +
246. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013031.png ; $( \partial / \partial t _ { x } ) - Q _ { 0 } z ^ { x }$ ; confidence 0.284
 +
 
 +
247. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027270/c02727013.png ; $j = \frac { 1728 g _ { 2 } ^ { 3 } } { g _ { 2 } ^ { 3 } - 27 g _ { 3 } ^ { 2 } }$ ; confidence 0.284
 +
 
 +
248. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110070/a11007026.png ; $\pi _ { p } ( \text { Id } : C ( K ) \rightarrow L _ { p } ( K , \mu ) ) = \mu ( K ) ^ { 1 / p }$ ; confidence 0.283
 +
 
 +
249. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040745.png ; $\Sigma ( P , R ) \subseteq Fm P L$ ; confidence 0.283
 +
 
 +
250. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004059.png ; $F m$ ; confidence 0.283
 +
 
 +
251. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040723.png ; $P ^ { \prime }$ ; confidence 0.282
 +
 
 +
252. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040450.png ; $D ( K ) = \langle F m , \vDash _ { K } \rangle$ ; confidence 0.282
 +
 
 +
253. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240196.png ; $\sqrt { 3 }$ ; confidence 0.281
 +
 
 +
254. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050185.png ; $\zeta _ { A } ( z ) = \prod _ { r \geq 1 } \quad ( 1 - p ^ { - r z } ) ^ { - 1 } = \prod _ { r = 1 } ^ { \infty } \zeta ( r z )$ ; confidence 0.281
 +
 
 +
255. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010211.png ; $1 / S i$ ; confidence 0.280
 +
 
 +
256. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006033.png ; $\beta _ { X } ( s ) = \operatorname { sup } _ { t } \beta ( \sigma \{ X _ { z } : u \leq t \} , \sigma \{ X _ { z } : u \geq t + x \} )$ ; confidence 0.279
 +
 
 +
257. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040685.png ; $X \in X$ ; confidence 0.278
 +
 
 +
258. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082060/r082060102.png ; $f ^ { \mu } | _ { K }$ ; confidence 0.278
 +
 
 +
259. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010420/a0104203.png ; $n = 1,2 , . .$ ; confidence 0.277
 +
 
 +
260. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240191.png ; $X ^ { \prime } X \hat { \beta } = X ^ { \prime } y$ ; confidence 0.277
 +
 
 +
261. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002054.png ; $( 4 m ^ { 2 n } \cdot \frac { m ^ { 2 n } - 1 } { m ^ { 2 } - 1 } , m ^ { 2 n - 1 } \cdot ( \frac { 2 ( m ^ { 2 n } - 1 ) } { m + 1 } + 1 )$ ; confidence 0.276
 +
 
 +
262. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240430.png ; $a ^ { \prime } \Theta$ ; confidence 0.275
 +
 
 +
263. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040516.png ; $c \in FFI _ { D } A$ ; confidence 0.275
 +
 
 +
264. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040322.png ; $Q = \operatorname { Alg } \operatorname { Mod } ^ { * S } D$ ; confidence 0.274
 +
 
 +
265. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029014.png ; $f = \pi \gamma f _ { \alpha } \pi \overline { x } ^ { 1 }$ ; confidence 0.274
 +
 
 +
266. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050271.png ; $\pi _ { C } ^ { \# } ( x ) \sim C x ^ { \kappa } ( \operatorname { log } x ) ^ { \nu } \text { as } x \rightarrow \infty$ ; confidence 0.274
 +
 
 +
267. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130270/a13027051.png ; $\{ x _ { n j } ^ { \prime } \}$ ; confidence 0.273
 +
 
 +
268. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g045090279.png ; $G _ { A B } ^ { ( c ) } ( t - t ^ { \prime } ) = \ll A ( t ) | B ( t ^ { \prime } ) \gg ( c ) \equiv \langle T _ { \eta } A ( t ) B ( t ^ { \prime } ) \rangle$ ; confidence 0.272
 +
 
 +
269. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a1202207.png ; $| e | | < 1$ ; confidence 0.271
 +
 
 +
270. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012410/a01241063.png ; $s = s ^ { * } \cup ( s \backslash s ^ { * } ) ^ { * } U \ldots$ ; confidence 0.271
 +
 
 +
271. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016960/b016960150.png ; $99$ ; confidence 0.271
 +
 
 +
272. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040257.png ; $( H _ { 1 } , \ldots , H _ { k + m } ) : C ^ { N } \rightarrow C ^ { k + m }$ ; confidence 0.271
 +
 
 +
273. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058920/l05892067.png ; $Z y \rightarrow \infty$ ; confidence 0.270
 +
 
 +
274. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040230/f040230147.png ; $\sum _ { \nu = 1 } ^ { k - 1 } \frac { B _ { \nu } } { \nu ! } \{ f ^ { \langle \nu - 1 \rangle } ( n ) - f ^ { \langle \nu - 1 \rangle } ( 0 ) \} + \frac { B _ { k } } { k ! } \sum _ { x = 0 } ^ { n - 1 } f ^ { ( k ) } ( x + \theta )$ ; confidence 0.269
 +
 
 +
275. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120190/f12019010.png ; $N = \{ G \backslash ( \cup _ { x \in G } x ^ { - 1 } H x ) \} \cup \{ 1 \}$ ; confidence 0.269
 +
 
 +
276. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010430/a0104309.png ; $q _ { i k } = P \{ \xi ( \tau ( H ) ) = h | \xi ( 0 ) = i \} , \quad i \in S , \quad h \in H$ ; confidence 0.269
 +
 
 +
277. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021570/c02157044.png ; $\chi \pi _ { \alpha }$ ; confidence 0.268
 +
 
 +
278. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040573.png ; $21$ ; confidence 0.266
 +
 
 +
279. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029051.png ; $\alpha X$ ; confidence 0.266
 +
 
 +
280. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040583.png ; $1$ ; confidence 0.266
 +
 
 +
281. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t1200105.png ; $( C ( S ) , \overline { g } ) = ( R _ { + } \times S , d \nu ^ { 2 } + r ^ { 2 } g )$ ; confidence 0.265
 +
 
 +
282. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i130030178.png ; $h ( [ a ] )$ ; confidence 0.265
 +
 
 +
283. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040635.png ; $F _ { S _ { P } } \mathfrak { M }$ ; confidence 0.264
 +
 
 +
284. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110080/a1100801.png ; $u _ { t t } = c ^ { 2 } ( u _ { XX } + u _ { y y } )$ ; confidence 0.264
 +
 
 +
285. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080940/r08094048.png ; $\{ \alpha _ { n } \} _ { \aleph = 0 } ^ { \infty }$ ; confidence 0.264
 +
 
 +
286. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022079.png ; $\| \alpha _ { j k }$ ; confidence 0.264
 +
 
 +
287. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059110/l05911071.png ; $+ \sum _ { i = 1 } ^ { s } \| k _ { i k } [ u ] _ { k } - \{ l _ { i } u \} _ { i k } \| _ { \Phi _ { i k } } + \| p _ { i k } \phi _ { i } - \{ \phi _ { i } \} _ { i k } \| _ { \Phi _ { i k } }$ ; confidence 0.263
 +
 
 +
288. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023150/c023150187.png ; $\alpha : H ^ { n } ( : Z ) \rightarrow H ^ { n + 3 } ( : Z _ { 2 } )$ ; confidence 0.262
 +
 
 +
289. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l057000153.png ; $+ ( \lambda x y \cdot y ) : ( \sigma \rightarrow ( \tau \rightarrow \tau ) )$ ; confidence 0.262
 +
 
 +
290. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076610/q07661044.png ; $\beta X = S \square x = \omega _ { \kappa } X$ ; confidence 0.261
 +
 
 +
291. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010241.png ; $x = T ( \Lambda - \hat { \lambda } I ) ^ { - 1 } T ^ { - 1 } r$ ; confidence 0.261
 +
 
 +
292. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a1301301.png ; $\left. \begin{array} { l } { i \frac { \partial } { \partial t } q ( x , t ) = i q t = - \frac { 1 } { 2 } q x x + q ^ { 2 } r } \\ { i \frac { \partial } { \partial t } r ( x , t ) = i r t = \frac { 1 } { 2 } r x - q r ^ { 2 } } \end{array} \right.$ ; confidence 0.260
 +
 
 +
293. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022037.png ; $r _ { ess } ( T )$ ; confidence 0.259
 +
 
 +
294. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a1201308.png ; $m$ ; confidence 0.259
 +
 
 +
295. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087770/s08777049.png ; $V _ { k } ( H ^ { n } ) = \frac { Sp ( n ) } { Sp ( n - k ) }$ ; confidence 0.259
 +
 
 +
296. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020220.png ; $\delta ^ { * } \circ ( t - r ) ^ { * } \beta _ { 1 } = k ( t ^ { * } \square ^ { - 1 } \beta _ { 3 } )$ ; confidence 0.259
 +
 
 +
297. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010158.png ; $\frac { \| \delta x \| _ { 2 } } { \| x \| _ { 2 } } \leq k [ ( 2 + \eta \hat { k } ) \alpha + \beta \gamma ]$ ; confidence 0.259
 +
 
 +
298. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022029.png ; $u _ { 1 } = \int _ { c _ { 1 } } ^ { x } d u _ { 1 } , \ldots , u _ { p } = \int _ { \varphi } ^ { x } d u _ { p }$ ; confidence 0.258
 +
 
 +
299. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010258.png ; $r = H . | A | . | x$ ; confidence 0.258
 +
 
 +
300. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096380/v09638089.png ; $\pi : B \rightarrow G ^ { k } ( V )$ ; confidence 0.258

Revision as of 17:47, 2 September 2019

List

1. a0102403.png ; $Z , W$ ; confidence 0.401

2. p07283021.png ; $\epsilon _ { i j } ^ { k }$ ; confidence 0.400

3. a01018031.png ; $A _ { x } = \alpha _ { 1 } + \ldots + \alpha _ { x }$ ; confidence 0.399

4. l060090100.png ; $\operatorname { dim } Z \cap \overline { S _ { k + q + 1 } } ( F | _ { X \backslash Z } ) \leq k$ ; confidence 0.399

5. a13004099.png ; $\psi \in S$ ; confidence 0.398

6. a0104209.png ; $\{ X _ { n } \}$ ; confidence 0.398

7. i0521507.png ; $\forall x ( P ( x ) \vee \neg P ( x ) ) \wedge \neg \neg \neg x P ( x ) \supset \exists x P ( x )$ ; confidence 0.397

8. a11042079.png ; $25$ ; confidence 0.396

9. a12022033.png ; $5$ ; confidence 0.396

10. b12050014.png ; $M _ { t } : = \operatorname { sup } _ { s \leq t } W _ { s }$ ; confidence 0.396

11. r081560116.png ; $R _ { V } = \frac { 1 } { ( 2 \pi i ) ^ { n } } \int _ { \sigma _ { V } } f ( z ) d z$ ; confidence 0.396

12. a01021070.png ; $P _ { 2 }$ ; confidence 0.396

13. c02718064.png ; $H ( K )$ ; confidence 0.395

14. d030020144.png ; $\operatorname { gr } D _ { X }$ ; confidence 0.395

15. e11008028.png ; $P _ { n } ( f ) = \int _ { S } f d P _ { n } = \frac { 1 } { n } \sum _ { i = 1 } ^ { n } f ( X _ { i } )$ ; confidence 0.394

16. a01012057.png ; $k = 0,1 , \ldots ,$ ; confidence 0.393

17. a130040281.png ; $X \rightarrow y$ ; confidence 0.392

18. t0935701.png ; $x = \pm \alpha \operatorname { ln } \frac { \alpha + \sqrt { \alpha ^ { 2 } - y ^ { 2 } } } { y } - \sqrt { \alpha ^ { 2 } - y ^ { 2 } }$ ; confidence 0.391

19. a110010194.png ; $\hat { \lambda } I - A - \delta A = ( \hat { \lambda } I - A ) [ I - ( \hat { \lambda } I - A ) ^ { - 1 } \delta A$ ; confidence 0.391

20. a130040181.png ; $\alpha \in G$ ; confidence 0.390

21. a11001086.png ; $\| \delta x \| = \| A ^ { - 1 } B ^ { - 1 } B N \| =$ ; confidence 0.390

22. a11001061.png ; $| \delta b | \leq \epsilon | b |$ ; confidence 0.389

23. c022780377.png ; $1 B S G$ ; confidence 0.389

24. a130240508.png ; $E ( Z _ { 13 } ) = 0$ ; confidence 0.388

25. d03233041.png ; $r : h \rightarrow f ( x _ { 0 } + h ) - f ( x _ { 0 } ) - h _ { 0 } ( h )$ ; confidence 0.388

26. a1200601.png ; $\left. \begin{array} { c } { \frac { \partial u } { \partial t } + \sum _ { j = 1 } ^ { m } \alpha _ { j } ( x ) \frac { \partial u } { \partial x _ { j } } + c ( x ) u = f ( x , t ) } \\ { ( x , t ) \in \Omega \times [ 0 , T ] } \\ { u ( x , 0 ) = u _ { 0 } ( x ) , \quad x \in \Omega } \end{array} \right.$ ; confidence 0.387

27. a11006018.png ; $P _ { B }$ ; confidence 0.385

28. a1106409.png ; $S U N$ ; confidence 0.385

29. t13004015.png ; $( n + 1 ) a _ { n + 1 } + \alpha _ { n } = \tau$ ; confidence 0.385

30. a13024066.png ; $y _ { i j k } = \mu + \alpha _ { i } + \beta _ { j } + \gamma _ { i j } + e _ { j k }$ ; confidence 0.384

31. b11099015.png ; $P _ { \alpha }$ ; confidence 0.384

32. f04132023.png ; $v _ { 0 } ^ { k }$ ; confidence 0.384

33. c1202805.png ; $X *$ ; confidence 0.383

34. a0100204.png ; $\{ E _ { n _ { 1 } } \ldots n _ { k } \}$ ; confidence 0.382

35. a13013023.png ; $= \operatorname { exp } ( x P _ { 0 } z + \sum _ { r = 1 } ^ { \infty } Q _ { 0 } z ^ { r } ) g ( z ) . . \operatorname { exp } ( - x P _ { 0 } z - \sum _ { r = 1 } ^ { \infty } Q _ { 0 } z ^ { \gamma } )$ ; confidence 0.382

36. i05097047.png ; $F ( M ^ { k } ) \subset \nabla \square ^ { n }$ ; confidence 0.382

37. a110010222.png ; $E$ ; confidence 0.382

38. a110010196.png ; $( \hat { \lambda } I - A ) ^ { - 1 } = T ( \hat { \lambda } I - \Lambda ) ^ { - 1 } T ^ { - 1 }$ ; confidence 0.382

39. a01046064.png ; $x , h \in X$ ; confidence 0.382

40. a130040405.png ; $P _ { U } K$ ; confidence 0.381

41. c02592019.png ; $631$ ; confidence 0.381

42. a01012029.png ; $| \lambda _ { X } | \leq ( n + 1 ) ^ { \alpha - 1 }$ ; confidence 0.381

43. a01033016.png ; $\beta _ { y }$ ; confidence 0.380

44. a01021055.png ; $a - 1$ ; confidence 0.380

45. a1301307.png ; $Q$ ; confidence 0.380

46. s08778021.png ; $w ^ { \prime }$ ; confidence 0.380

47. a130040213.png ; $^ { * } S \text { s } 5$ ; confidence 0.380

48. a01020088.png ; $\phi \gamma$ ; confidence 0.380

49. t120010108.png ; $Sp ( 0 )$ ; confidence 0.378

50. v09635060.png ; $\left. \begin{array} { l l l } { \alpha _ { 1 } } & { \alpha _ { 2 } } & { \alpha _ { 3 } } \\ { b _ { 1 } } & { b _ { 2 } } & { b _ { 3 } } \\ { c _ { 1 } } & { c _ { 2 } } & { c _ { 3 } } \end{array} \right| = 0$ ; confidence 0.378

51. a130240236.png ; $n - r$ ; confidence 0.377

52. a12015019.png ; $( g )$ ; confidence 0.376

53. a110010246.png ; $( A - \hat { \lambda } I ) x ^ { ( i + 1 ) } = x ^ { ( i ) } , \quad i = 1 , \ldots , n$ ; confidence 0.376

54. p110120321.png ; $4 x$ ; confidence 0.375

55. a1301305.png ; $P = P _ { 0 } z + P _ { 1 } : = \left( \begin{array} { c c } { - i } & { 0 } \\ { 0 } & { i } \end{array} \right) z + \left( \begin{array} { l l } { 0 } & { q } \\ { r } & { 0 } \end{array} \right)$ ; confidence 0.374

56. h0471603.png ; $H ( z ) = \sum _ { i = 1 } ^ { n } \sum _ { j = 1 } ^ { n } a _ { i j } z _ { i } z _ { j }$ ; confidence 0.374

57. k055850103.png ; $D _ { \alpha }$ ; confidence 0.374

58. a130240377.png ; $T ^ { 2 }$ ; confidence 0.373

59. b01703046.png ; $\mathfrak { M } _ { n }$ ; confidence 0.373

60. c12008028.png ; $A _ { j } A _ { k l } = A _ { k l } A _ { j }$ ; confidence 0.372

61. a110010139.png ; $i = 1 , \dots , r$ ; confidence 0.372

62. i05302096.png ; $\beta _ { k } q _ { k + 1 } = A q _ { k } - \beta _ { k - 1 } q _ { k - 1 } - \alpha _ { k } q _ { k k }$ ; confidence 0.371

63. s0870309.png ; $f _ { h } \in U _ { k }$ ; confidence 0.371

64. f041060205.png ; $d _ { C } ^ { - 1 } = \operatorname { det } \left\| \begin{array} { c c } { \phi _ { \theta } \theta } & { \phi _ { \theta x } } \\ { \phi _ { y } \theta } & { \phi _ { y x } } \end{array} \right\|$ ; confidence 0.370

65. a130040452.png ; $\psi _ { 0 } , \ldots , \psi _ { n - 1 } \vDash _ { K } \varphi$ ; confidence 0.369

66. a0102104.png ; $a _ { 1 } b _ { 1 } \ldots a _ { 8 } b _ { 8 }$ ; confidence 0.369

67. a130050260.png ; $\pi _ { C } ^ { \# } ( x ) = \sum _ { n \leq x } P _ { C } ^ { \# } ( n )$ ; confidence 0.369

68. a13013099.png ; $z \in C$ ; confidence 0.369

69. a011640127.png ; $M = 10 p _ { t x } - p _ { g } - 2 p ^ { ( 1 ) } + 12 + \theta$ ; confidence 0.369

70. a01029055.png ; $\overline { a } X = \beta a X = \alpha \beta X$ ; confidence 0.369

71. a110010168.png ; $\hat { k } ( \alpha + \beta )$ ; confidence 0.369

72. a110010206.png ; $z \leq | ( \hat { \lambda } I - \Lambda ) ^ { - 1 } | | T ^ { - 1 } | | \delta A | | T | z |$ ; confidence 0.368

73. a13024056.png ; $i = 1 , \ldots , I$ ; confidence 0.368

74. a120050124.png ; $Z ( t , u )$ ; confidence 0.368

75. a01012023.png ; $A _ { r } ^ { \alpha }$ ; confidence 0.368

76. a110010113.png ; $\delta b = H . | b$ ; confidence 0.368

77. a11041070.png ; $K _ { X } ^ { v } \otimes L ^ { i }$ ; confidence 0.368

78. f120150202.png ; $n \| < C$ ; confidence 0.368

79. p07566043.png ; $\partial _ { x } = \partial / \partial x$ ; confidence 0.368

80. p07519074.png ; $E _ { i j }$ ; confidence 0.366

81. a130040410.png ; $Mod ^ { * } L D = Mod ^ { * } S _ { D }$ ; confidence 0.366

82. a130040245.png ; $x \approx y = | \operatorname { K } K ( E ( x , y ) ) \approx L ( E ( x , y ) )$ ; confidence 0.366

83. a01022067.png ; $m$ ; confidence 0.365

84. a01012076.png ; $f ( z ) = \sum _ { k = 0 } ^ { \infty } \alpha _ { \nu _ { k } } z ^ { \nu _ { k } }$ ; confidence 0.364

85. a110010286.png ; $( \hat { \lambda } B - C ) ^ { - 1 } = P ( \hat { \lambda } I - \Lambda ) ^ { - 1 } Q$ ; confidence 0.363

86. d03233040.png ; $b _ { 0 }$ ; confidence 0.363

87. l13006070.png ; $\frac { 1 } { 4 n } \operatorname { max } \{ \alpha _ { i } : 0 \leq i \leq t \} \leq \Delta _ { 2 } \leq \frac { 1 } { 4 n } ( \sum _ { i = 0 } ^ { t } \alpha _ { i } + 2 )$ ; confidence 0.363

88. a11008029.png ; $c u _ { x t } = u _ { t t } - \frac { 1 } { 2 } c ^ { 2 } u _ { y y }$ ; confidence 0.363

89. a130040316.png ; $h ( x ) = a , \ldots , h ( w ) = d$ ; confidence 0.362

90. a120050133.png ; $\alpha ; ( \ldots )$ ; confidence 0.362

91. a110010135.png ; $\| ( A + \delta A ) ^ { + } \| _ { 2 } \leq \frac { \| A ^ { + } \| _ { 2 } } { 1 - \| A ^ { + } \| _ { 2 } \| ^ { \delta A \| _ { 2 } } }$ ; confidence 0.362

92. d03232015.png ; $u _ { R } ^ { k } ( x ) = \sum _ { i = 1 } ^ { n } u _ { i } a _ { i } ^ { k } ( x )$ ; confidence 0.362

93. s09067035.png ; $j _ { X } ^ { k } ( u )$ ; confidence 0.362

94. b01539040.png ; $E [ L ( \theta , d ) | x ]$ ; confidence 0.361

95. t09444040.png ; $u _ { m } = u ( M _ { m } )$ ; confidence 0.360

96. d032150132.png ; $\hat { V }$ ; confidence 0.359

97. c02095032.png ; $L u = \sum _ { | \alpha | \leq m } \alpha _ { \alpha } ( x ) \frac { \partial ^ { \alpha } u } { \partial x ^ { \alpha } } = f ( x )$ ; confidence 0.358

98. a11002013.png ; $g = d \cdot d ^ { \prime - 1 }$ ; confidence 0.357

99. a01020079.png ; $\alpha = \text { Coker } ( \text { Ker } \alpha ) \theta \text { ker } ( \text { Coker } \alpha )$ ; confidence 0.357

100. o13005087.png ; $v _ { n } \in G$ ; confidence 0.357

101. w120110269.png ; $g _ { 1 } = | d x | ^ { 2 } + \frac { | d \xi | ^ { 2 } } { | \xi | ^ { 2 } } \leq g = \frac { | d x | ^ { 2 } } { | x | ^ { 2 } } + \frac { | d \xi | ^ { 2 } } { | \xi | ^ { 2 } }$ ; confidence 0.357

102. b120210148.png ; $\mathfrak { p } \supset b$ ; confidence 0.356

103. a130040365.png ; $\tilde { \Omega } _ { D } F = \cap \{ \Omega G : F \subseteq G \in Fi _ { D } A \}$ ; confidence 0.356

104. a1100408.png ; $A = \operatorname { Pic } ^ { 0 } ( A )$ ; confidence 0.355

105. t12001085.png ; $0$ ; confidence 0.355

106. m063760111.png ; $0 \rightarrow A \rightarrow B \stackrel { sp } { \rightarrow } \pi * C \rightarrow 0$ ; confidence 0.355

107. a0104606.png ; $a \in D$ ; confidence 0.354

108. a13013088.png ; $t$ ; confidence 0.354

109. a11063032.png ; $\rho _ { 0 n + } = \operatorname { sin } A$ ; confidence 0.354

110. w09779041.png ; $\pi _ { 4 n - 1 } ( S ^ { 2 n } ) \rightarrow \pi _ { 4 n } ( S ^ { 2 n + 1 } )$ ; confidence 0.354

111. a1301303.png ; $P _ { 1 } = \left( \begin{array} { c c c } { 0 } & { \square } & { q } \\ { r } & { \square } & { 0 } \end{array} \right) , Q _ { 2 } = \left( \begin{array} { c c } { - \frac { i } { 2 } q r } & { \frac { i } { 2 } q x } \\ { - \frac { i } { 2 } r _ { x } } & { \frac { i } { 2 } q r } \end{array} \right)$ ; confidence 0.352

112. w09751010.png ; $m _ { k } = \dot { k }$ ; confidence 0.352

113. m06546014.png ; $( \alpha \vee ( b . e ) ) : e = ( \alpha : e ) \vee b$ ; confidence 0.351

114. l05872090.png ; $l _ { k } ( A )$ ; confidence 0.348

115. a110010288.png ; $| e ^ { A + \delta A } - e ^ { A } \| \leq k ( T ) \cdot \| W \|$ ; confidence 0.347

116. a01020036.png ; $M$ ; confidence 0.347

117. a01021080.png ; $w _ { 2 }$ ; confidence 0.347

118. a130050160.png ; $\sum _ { n = 0 } ^ { \infty } G ^ { \# } ( n ) y ^ { n } = \prod _ { m = 1 } ^ { \infty } ( 1 - y ^ { m } ) ^ { - P ^ { \# } ( m ) }$ ; confidence 0.346

119. a130240276.png ; $\leq F _ { \alpha ; q , x - \gamma }$ ; confidence 0.345

120. s0876903.png ; $f _ { h } ( t ) = \frac { 1 } { h } \int _ { t - k / 2 } ^ { t + k / 2 } f ( u ) d u = \frac { 1 } { h } \int _ { - k / 2 } ^ { k / 2 } f ( t + v ) d v$ ; confidence 0.345

121. a130050215.png ; $\sum _ { n \leq x } S ( n ) = A _ { 2 } x + O ( \sqrt { x } ) \quad \text { as } x \rightarrow \infty$ ; confidence 0.344

122. a01022034.png ; $x _ { 1 } , \ldots , x _ { p }$ ; confidence 0.344

123. a13004015.png ; $H _ { D }$ ; confidence 0.344

124. c02572034.png ; $y _ { 0 } = A _ { x }$ ; confidence 0.344

125. a010210142.png ; $w$ ; confidence 0.343

126. l06031040.png ; $R = \{ \alpha \in K : \operatorname { mod } _ { K } ( \alpha ) \leq 1 \}$ ; confidence 0.342

127. t093150743.png ; $\left. \begin{array} { c c c } { B _ { i } } & { \stackrel { h _ { i } } { \rightarrow } } & { A _ { i } } \\ { g _ { i } \downarrow } & { \square } & { \downarrow f _ { i } } \\ { B } & { \vec { f } } & { A } \end{array} \right.$ ; confidence 0.342

128. a110010140.png ; $\sigma _ { 1 } \geq \ldots \geq \sigma _ { \zeta }$ ; confidence 0.342

129. a130240488.png ; $( \beta _ { t 0 } , \ldots , \beta _ { i k } )$ ; confidence 0.339

130. a12005064.png ; $A ( 0 ) uv + f ( 0 ) \in \overline { D ( A ( 0 ) ) }$ ; confidence 0.339

131. a11007010.png ; $x _ { 1 } , \ldots , x _ { x } \in X$ ; confidence 0.338

132. e12015019.png ; $\frac { D \xi ^ { i } } { d t } = \frac { d \xi ^ { i } } { d t } + \frac { 1 } { 2 } g ^ { i } r \xi ^ { r }$ ; confidence 0.338

133. n06711048.png ; $\phi _ { i } / \partial x _ { Y }$ ; confidence 0.338

134. a11006044.png ; $F | X _ { t } | ^ { 2 } + \delta$ ; confidence 0.338

135. a130040515.png ; $\mathfrak { A } = \langle A , C \rangle$ ; confidence 0.337

136. m06236012.png ; $T _ { i j }$ ; confidence 0.337

137. g043780168.png ; $T _ { \nu }$ ; confidence 0.336

138. a0104204.png ; $S _ { x } = X _ { 1 } + \ldots + X _ { x }$ ; confidence 0.335

139. a130040459.png ; $\operatorname { Mod } ^ { * } L D ( K ) = ( SPP _ { U } K ) ^ { * } L$ ; confidence 0.335

140. i050230379.png ; $\| f \| _ { \Lambda _ { p } ^ { r } ( R ^ { n } ) } \leq K$ ; confidence 0.335

141. l057050123.png ; $c \rightarrow N$ ; confidence 0.335

142. l05715031.png ; $\mu$ ; confidence 0.335

143. a130040638.png ; $\langle N e _ { S _ { P } } \mathfrak { M } , F _ { S _ { P } } \mathfrak { M } \rangle$ ; confidence 0.335

144. a11001027.png ; $\frac { \| \delta x \| } { \| x \| } \leq \frac { \| A ^ { - 1 } \delta A \| + \frac { \| A ^ { - 1 } \delta b \| } { | x \| } } { 1 - \| A ^ { - 1 } \delta A \| }$ ; confidence 0.334

145. a130240184.png ; $\eta _ { i } - \eta _ { s }$ ; confidence 0.334

146. a130050146.png ; $\zeta _ { G } ( z ) = \sum _ { x = 1 } ^ { \infty } G ( n ) n ^ { - z } = \sum _ { \alpha \in G } | a | ^ { - z } =$ ; confidence 0.334

147. s085400325.png ; $\tilde { f } : \Delta ^ { n + 1 } \rightarrow E$ ; confidence 0.333

148. c11047054.png ; $h : H \rightarrow ( C \bigotimes T M ) / ( H \oplus \overline { H } )$ ; confidence 0.332

149. c1202808.png ; $F T op$ ; confidence 0.332

150. r08250032.png ; $\| u - P _ { n } u \| _ { A } \rightarrow 0$ ; confidence 0.332

151. a0104207.png ; $n = 1,2 , \dots$ ; confidence 0.331

152. a130050212.png ; $\sum _ { n \leq x } \alpha ( n ) = A _ { 1 } x + O ( \sqrt { x } ) \quad \text { as } x \rightarrow \infty$ ; confidence 0.331

153. l05751032.png ; $\Delta ( \alpha _ { 1 } \ldots i _ { p } d x ^ { i _ { 1 } } \wedge \ldots \wedge d x ^ { i p } ) =$ ; confidence 0.331

154. a130040146.png ; $T , \psi \dagger \operatorname { si } \varphi$ ; confidence 0.330

155. a110040271.png ; $p ^ { 4 }$ ; confidence 0.330

156. c020740394.png ; $( \alpha \circ \beta ) ( c ) _ { d x } = \sum _ { b } \alpha ( b ) _ { a } \beta ( c ) _ { b }$ ; confidence 0.330

157. c120180420.png ; $C ^ { \infty } ( \tilde { N } )$ ; confidence 0.330

158. a130040349.png ; $8$ ; confidence 0.330

159. a01021095.png ; $L$ ; confidence 0.330

160. m06222011.png ; $\Delta \lambda _ { i } ^ { \alpha }$ ; confidence 0.329

161. r08221030.png ; $o = e K$ ; confidence 0.327

162. a130040409.png ; $Mod ^ { * } L D = P _ { SD } Mod ^ { * } L _ { D }$ ; confidence 0.326

163. t12001099.png ; $_ { \nabla } ( G / K )$ ; confidence 0.326

164. b1104407.png ; $\overline { \Xi } \epsilon = 0$ ; confidence 0.326

165. a01012043.png ; $W _ { 0 }$ ; confidence 0.325

166. a01043017.png ; $p _ { i k } ^ { * } ( t ) = P \{ \xi ^ { * } ( t ) = h | \xi ^ { * } ( 0 ) = i \} =$ ; confidence 0.325

167. a130040541.png ; $h ( \psi ^ { i } ) \in C ( \{ h ( \varphi _ { 0 } ^ { i } ) , \ldots , h ( \varphi _ { n _ { i } - 1 } ^ { i } ) \} )$ ; confidence 0.325

168. a12031010.png ; $N$ ; confidence 0.325

169. a130240141.png ; $c$ ; confidence 0.324

170. a01021085.png ; $C$ ; confidence 0.323

171. n067520141.png ; $N _ { 2 } = \left| \begin{array} { c c c c c } { . } & { \square } & { \square } & { \square } & { 0 } \\ { \square } & { . } & { \square } & { \square } & { \square } \\ { \square } & { \square } & { L ( e _ { j } ^ { n _ { i j } } ) } & { \square } & { \square } \\ { \square } & { \square } & { \square } & { . } & { \square } \\ { \square } & { \square } & { \square } & { \square } & { \square } \\ { 0 } & { \square } & { \square } & { \square } & { . } \end{array} \right|$ ; confidence 0.323

172. a11007012.png ; $\{ x _ { k } , a \}$ ; confidence 0.323

173. a130240339.png ; $\Sigma _ { 1 } = X _ { 4 } ^ { \prime } \Sigma X _ { 4 }$ ; confidence 0.322

174. f04162020.png ; $X _ { i } \cap X _ { j } =$ ; confidence 0.322

175. s08764086.png ; $n ( O _ { x } ) = 0$ ; confidence 0.322

176. t12001033.png ; $[ \xi ^ { \alpha } , \xi ^ { b } ] = 2 \epsilon _ { \alpha b c } \xi ^ { c }$ ; confidence 0.322

177. b11088033.png ; $P _ { I } ^ { f } : C ^ { \infty } \rightarrow L$ ; confidence 0.321

178. k11003029.png ; $\frac { x ^ { \rho + 1 } f ( x ) } { \int _ { x } ^ { x } t ^ { \sigma } f ( t ) d t } \rightarrow \sigma + \rho + 1 \quad ( x \rightarrow \infty )$ ; confidence 0.320

179. a13004033.png ; $\operatorname { to } \varphi$ ; confidence 0.319

180. a01022097.png ; $\alpha + b \in C ^ { p }$ ; confidence 0.317

181. h04702011.png ; $F _ { n } ( x ) = ( x _ { 1 } ^ { 2 } + \ldots + x _ { y } ^ { 2 } ) ^ { 1 / 2 }$ ; confidence 0.316

182. o12001037.png ; $\left. \begin{array} { l } { \nabla p _ { 1 } = \nabla p _ { 2 } = 0 } \\ { \frac { \partial v _ { 0 } } { \partial t } + [ \nabla v _ { 0 } ] v _ { 0 } = \frac { 1 } { Re } \Delta v _ { 0 } + \operatorname { Re } \nabla p _ { 3 } + \theta _ { 0 } b } \end{array} \right.$ ; confidence 0.316

183. a11007013.png ; $x \in X ^ { \prime }$ ; confidence 0.315

184. a13013078.png ; $q ^ { ( l ) } = 2 i \frac { \tau _ { l } + 1 } { \tau _ { l } } , r ^ { ( l ) } = - 2 i \frac { \tau _ { l } - 1 } { \tau _ { l } }$ ; confidence 0.315

185. b12015024.png ; $x = \frac { 1 } { n } \sum _ { j = 1 } ^ { n } x$ ; confidence 0.315

186. c024100277.png ; $\partial _ { r }$ ; confidence 0.315

187. w12010028.png ; $\nabla _ { i g j k } = \gamma _ { i } g _ { j k }$ ; confidence 0.315

188. a130040599.png ; $E _ { S _ { P } }$ ; confidence 0.315

189. a0143102.png ; $e$ ; confidence 0.314

190. e12023045.png ; $\therefore M \rightarrow F$ ; confidence 0.313

191. j05405048.png ; $\theta _ { 3 } ( v \pm \frac { 1 } { 2 } \tau ) = e ^ { - i \pi \tau / 4 } \cdot e ^ { - i \pi v } \cdot \theta _ { 2 } ( v )$ ; confidence 0.312

192. p07340055.png ; $M ^ { 0 }$ ; confidence 0.312

193. a11002049.png ; $m = 2 ^ { a } 3 ^ { b } u ^ { 2 }$ ; confidence 0.311

194. t12001057.png ; $0$ ; confidence 0.311

195. a01021060.png ; $A _ { 1 } , \ldots , A _ { 8 }$ ; confidence 0.310

196. k05552082.png ; $\Gamma 20$ ; confidence 0.310

197. q07683071.png ; $p _ { m } = ( \sum _ { j = 0 } ^ { m } A _ { j } ) ^ { - 1 }$ ; confidence 0.310

198. a120310136.png ; $A$ ; confidence 0.309

199. a110010199.png ; $k ( T ) = \| T \| T ^ { - 1 } \|$ ; confidence 0.308

200. f04215011.png ; $\left. \begin{array} { l l } { F _ { 1 } ( A ) } & { \frac { F _ { 1 } ( \alpha ) } { \rightarrow } } & { F _ { 1 } ( B ) } \\ { \phi _ { A } \downarrow } & { \square } & { \downarrow \phi _ { B } } \\ { F _ { 2 } ( A ) } & { \vec { F _ { 2 } ( \alpha ) } } & { F _ { 2 } ( B ) } \end{array} \right.$ ; confidence 0.308

201. t093900115.png ; $l \mu \frac { \partial W ^ { k } } { \partial x } + ( 1 - c ) W ^ { k } = c ( \Phi _ { 0 } ^ { k } - \phi _ { 0 } ^ { k } )$ ; confidence 0.308

202. a11010075.png ; $\operatorname { sup } _ { \epsilon > 0 ; \psi \in W } \operatorname { inf } \{ g ( x ) : g \in \operatorname { span } ( M ) , w f \leq w g + \epsilon \} =$ ; confidence 0.307

203. a110420128.png ; $h$ ; confidence 0.307

204. d11011051.png ; $M _ { 1 } = H \cap _ { k \tau _ { S } } H ^ { \prime }$ ; confidence 0.307

205. i050230319.png ; $f \in S _ { y } ^ { \prime }$ ; confidence 0.307

206. a11010051.png ; $\sigma \in M$ ; confidence 0.307

207. a01046087.png ; $P _ { x } ( h )$ ; confidence 0.305

208. a110010279.png ; $\frac { \| \delta X \| } { \| X \| } \leq \frac { \epsilon \cdot k ( A , B ) } { 1 - \epsilon \cdot k ( A , B ) }$ ; confidence 0.305

209. a12002024.png ; $F _ { t } | _ { A } = H _ { t }$ ; confidence 0.304

210. a12005039.png ; $S _ { \theta _ { 0 } } = \{ z \in C : \operatorname { larg } z | \leq \theta _ { 0 } \} \cup \{ 0 \}$ ; confidence 0.304

211. b11082017.png ; $\pi _ { i } / ( \pi _ { i } + \pi _ { j } )$ ; confidence 0.304

212. r08279064.png ; $\operatorname { Pic } ( F ) \cong p ^ { * } \operatorname { Pic } ( C ) \oplus Z ^ { 5 }$ ; confidence 0.304

213. p07354050.png ; $P \{ X _ { v + 1 } = k + 1 | X _ { k } = k \} = \frac { b + k c } { b + r + n c } = \frac { p + k \gamma } { 1 + n \gamma }$ ; confidence 0.303

214. a11002053.png ; $2 ^ { a + 2 }$ ; confidence 0.302

215. a130040296.png ; $A / \Theta \in Q$ ; confidence 0.302

216. e03691017.png ; $a ^ { X } = e ^ { X \operatorname { ln } \alpha }$ ; confidence 0.301

217. s086940100.png ; $- \infty \leq w \leq + \infty$ ; confidence 0.301

218. c02110012.png ; $x \in \operatorname { Dom } A$ ; confidence 0.300

219. r08085028.png ; $e \omega ^ { r } f$ ; confidence 0.300

220. v096900234.png ; $\Pi I _ { \lambda }$ ; confidence 0.300

221. d120280147.png ; $\overline { U }$ ; confidence 0.299

222. l05774010.png ; $\operatorname { lim } _ { n \rightarrow \infty } \operatorname { sup } \frac { S _ { n } } { c _ { n } } = 1 \quad ( \alpha . s . )$ ; confidence 0.299

223. a120050107.png ; $\Delta$ ; confidence 0.298

224. a13004029.png ; $\sigma ( \Gamma ) \operatorname { tg } \sigma ( \varphi )$ ; confidence 0.298

225. a130040382.png ; $F \in Fi _ { D }$ ; confidence 0.298

226. a11010010.png ; $I$ ; confidence 0.297

227. a01012035.png ; $W _ { a }$ ; confidence 0.297

228. a110040152.png ; $C \in | L$ ; confidence 0.296

229. t09265033.png ; $\{ \partial f \rangle$ ; confidence 0.295

230. a11010016.png ; $x \in I$ ; confidence 0.295

231. a110010159.png ; $\alpha = \frac { \| \delta A \| _ { 2 } } { \| A \| _ { 2 } } , \quad \hat { \kappa } = \frac { k ( A ) } { 1 - \alpha k ( A ) }$ ; confidence 0.294

232. a130040513.png ; $A \nmid \Omega C$ ; confidence 0.294

233. a0142305.png ; $\{ A \rangle$ ; confidence 0.294

234. p072430105.png ; $\phi _ { im }$ ; confidence 0.294

235. a01012040.png ; $n = 0,1 , \ldots$ ; confidence 0.294

236. o07015054.png ; $\alpha ^ { n } < b ^ { n + 1 }$ ; confidence 0.291

237. r082160299.png ; $\{ \operatorname { exp } _ { m } ( \text { Cutval } ( \xi ) \xi ) \} = \text { Cutloc } ( m )$ ; confidence 0.291

238. d031380384.png ; $\sum _ { \mathfrak { D } _ { 1 } ^ { 1 } } ( E \times N ^ { N } )$ ; confidence 0.290

239. g04468049.png ; $t \circ \in E$ ; confidence 0.290

240. i05213037.png ; $\forall y \exists z ( \gamma ( y ) + 1 = \alpha ( g * \overline { \beta } ( z ) ) )$ ; confidence 0.288

241. a13023034.png ; $\| f _ { 1 } - P _ { U \cap V ^ { J } } f \| \leq c ^ { 2 l - 1 } \| f \|$ ; confidence 0.287

242. a0141905.png ; $x _ { y } + 1 = t$ ; confidence 0.287

243. f041940310.png ; $A \in \mathfrak { S }$ ; confidence 0.285

244. a130040386.png ; $F \subseteq Fi _ { D } A$ ; confidence 0.285

245. a11004048.png ; $d _ { 2 }$ ; confidence 0.284

246. a13013031.png ; $( \partial / \partial t _ { x } ) - Q _ { 0 } z ^ { x }$ ; confidence 0.284

247. c02727013.png ; $j = \frac { 1728 g _ { 2 } ^ { 3 } } { g _ { 2 } ^ { 3 } - 27 g _ { 3 } ^ { 2 } }$ ; confidence 0.284

248. a11007026.png ; $\pi _ { p } ( \text { Id } : C ( K ) \rightarrow L _ { p } ( K , \mu ) ) = \mu ( K ) ^ { 1 / p }$ ; confidence 0.283

249. a130040745.png ; $\Sigma ( P , R ) \subseteq Fm P L$ ; confidence 0.283

250. a13004059.png ; $F m$ ; confidence 0.283

251. a130040723.png ; $P ^ { \prime }$ ; confidence 0.282

252. a130040450.png ; $D ( K ) = \langle F m , \vDash _ { K } \rangle$ ; confidence 0.282

253. a130240196.png ; $\sqrt { 3 }$ ; confidence 0.281

254. a130050185.png ; $\zeta _ { A } ( z ) = \prod _ { r \geq 1 } \quad ( 1 - p ^ { - r z } ) ^ { - 1 } = \prod _ { r = 1 } ^ { \infty } \zeta ( r z )$ ; confidence 0.281

255. a110010211.png ; $1 / S i$ ; confidence 0.280

256. a11006033.png ; $\beta _ { X } ( s ) = \operatorname { sup } _ { t } \beta ( \sigma \{ X _ { z } : u \leq t \} , \sigma \{ X _ { z } : u \geq t + x \} )$ ; confidence 0.279

257. a130040685.png ; $X \in X$ ; confidence 0.278

258. r082060102.png ; $f ^ { \mu } | _ { K }$ ; confidence 0.278

259. a0104203.png ; $n = 1,2 , . .$ ; confidence 0.277

260. a130240191.png ; $X ^ { \prime } X \hat { \beta } = X ^ { \prime } y$ ; confidence 0.277

261. a11002054.png ; $( 4 m ^ { 2 n } \cdot \frac { m ^ { 2 n } - 1 } { m ^ { 2 } - 1 } , m ^ { 2 n - 1 } \cdot ( \frac { 2 ( m ^ { 2 n } - 1 ) } { m + 1 } + 1 )$ ; confidence 0.276

262. a130240430.png ; $a ^ { \prime } \Theta$ ; confidence 0.275

263. a130040516.png ; $c \in FFI _ { D } A$ ; confidence 0.275

264. a130040322.png ; $Q = \operatorname { Alg } \operatorname { Mod } ^ { * S } D$ ; confidence 0.274

265. a01029014.png ; $f = \pi \gamma f _ { \alpha } \pi \overline { x } ^ { 1 }$ ; confidence 0.274

266. a130050271.png ; $\pi _ { C } ^ { \# } ( x ) \sim C x ^ { \kappa } ( \operatorname { log } x ) ^ { \nu } \text { as } x \rightarrow \infty$ ; confidence 0.274

267. a13027051.png ; $\{ x _ { n j } ^ { \prime } \}$ ; confidence 0.273

268. g045090279.png ; $G _ { A B } ^ { ( c ) } ( t - t ^ { \prime } ) = \ll A ( t ) | B ( t ^ { \prime } ) \gg ( c ) \equiv \langle T _ { \eta } A ( t ) B ( t ^ { \prime } ) \rangle$ ; confidence 0.272

269. a1202207.png ; $| e | | < 1$ ; confidence 0.271

270. a01241063.png ; $s = s ^ { * } \cup ( s \backslash s ^ { * } ) ^ { * } U \ldots$ ; confidence 0.271

271. b016960150.png ; $99$ ; confidence 0.271

272. a110040257.png ; $( H _ { 1 } , \ldots , H _ { k + m } ) : C ^ { N } \rightarrow C ^ { k + m }$ ; confidence 0.271

273. l05892067.png ; $Z y \rightarrow \infty$ ; confidence 0.270

274. f040230147.png ; $\sum _ { \nu = 1 } ^ { k - 1 } \frac { B _ { \nu } } { \nu ! } \{ f ^ { \langle \nu - 1 \rangle } ( n ) - f ^ { \langle \nu - 1 \rangle } ( 0 ) \} + \frac { B _ { k } } { k ! } \sum _ { x = 0 } ^ { n - 1 } f ^ { ( k ) } ( x + \theta )$ ; confidence 0.269

275. f12019010.png ; $N = \{ G \backslash ( \cup _ { x \in G } x ^ { - 1 } H x ) \} \cup \{ 1 \}$ ; confidence 0.269

276. a0104309.png ; $q _ { i k } = P \{ \xi ( \tau ( H ) ) = h | \xi ( 0 ) = i \} , \quad i \in S , \quad h \in H$ ; confidence 0.269

277. c02157044.png ; $\chi \pi _ { \alpha }$ ; confidence 0.268

278. a130040573.png ; $21$ ; confidence 0.266

279. a01029051.png ; $\alpha X$ ; confidence 0.266

280. a130040583.png ; $1$ ; confidence 0.266

281. t1200105.png ; $( C ( S ) , \overline { g } ) = ( R _ { + } \times S , d \nu ^ { 2 } + r ^ { 2 } g )$ ; confidence 0.265

282. i130030178.png ; $h ( [ a ] )$ ; confidence 0.265

283. a130040635.png ; $F _ { S _ { P } } \mathfrak { M }$ ; confidence 0.264

284. a1100801.png ; $u _ { t t } = c ^ { 2 } ( u _ { XX } + u _ { y y } )$ ; confidence 0.264

285. r08094048.png ; $\{ \alpha _ { n } \} _ { \aleph = 0 } ^ { \infty }$ ; confidence 0.264

286. a01022079.png ; $\| \alpha _ { j k }$ ; confidence 0.264

287. l05911071.png ; $+ \sum _ { i = 1 } ^ { s } \| k _ { i k } [ u ] _ { k } - \{ l _ { i } u \} _ { i k } \| _ { \Phi _ { i k } } + \| p _ { i k } \phi _ { i } - \{ \phi _ { i } \} _ { i k } \| _ { \Phi _ { i k } }$ ; confidence 0.263

288. c023150187.png ; $\alpha : H ^ { n } ( : Z ) \rightarrow H ^ { n + 3 } ( : Z _ { 2 } )$ ; confidence 0.262

289. l057000153.png ; $+ ( \lambda x y \cdot y ) : ( \sigma \rightarrow ( \tau \rightarrow \tau ) )$ ; confidence 0.262

290. q07661044.png ; $\beta X = S \square x = \omega _ { \kappa } X$ ; confidence 0.261

291. a110010241.png ; $x = T ( \Lambda - \hat { \lambda } I ) ^ { - 1 } T ^ { - 1 } r$ ; confidence 0.261

292. a1301301.png ; $\left. \begin{array} { l } { i \frac { \partial } { \partial t } q ( x , t ) = i q t = - \frac { 1 } { 2 } q x x + q ^ { 2 } r } \\ { i \frac { \partial } { \partial t } r ( x , t ) = i r t = \frac { 1 } { 2 } r x - q r ^ { 2 } } \end{array} \right.$ ; confidence 0.260

293. a12022037.png ; $r _ { ess } ( T )$ ; confidence 0.259

294. a1201308.png ; $m$ ; confidence 0.259

295. s08777049.png ; $V _ { k } ( H ^ { n } ) = \frac { Sp ( n ) } { Sp ( n - k ) }$ ; confidence 0.259

296. v120020220.png ; $\delta ^ { * } \circ ( t - r ) ^ { * } \beta _ { 1 } = k ( t ^ { * } \square ^ { - 1 } \beta _ { 3 } )$ ; confidence 0.259

297. a110010158.png ; $\frac { \| \delta x \| _ { 2 } } { \| x \| _ { 2 } } \leq k [ ( 2 + \eta \hat { k } ) \alpha + \beta \gamma ]$ ; confidence 0.259

298. a01022029.png ; $u _ { 1 } = \int _ { c _ { 1 } } ^ { x } d u _ { 1 } , \ldots , u _ { p } = \int _ { \varphi } ^ { x } d u _ { p }$ ; confidence 0.258

299. a110010258.png ; $r = H . | A | . | x$ ; confidence 0.258

300. v09638089.png ; $\pi : B \rightarrow G ^ { k } ( V )$ ; confidence 0.258

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
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