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(AUTOMATIC EDIT of page 12 out of 13 with 300 lines: Updated image/latex database (currently 3630 images latexified; order by Confidence, ascending: False.)
 
(AUTOMATIC EDIT of page 12 out of 14 with 300 lines: Updated image/latex database (currently 4097 images latexified; order by Confidence, ascending: False.)
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== List ==
 
== List ==
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1. 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
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1. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010184.png ; $| \hat { \lambda } - \lambda |$ ; confidence 0.488
  
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2. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073400/p07340055.png ; $M ^ { 0 }$ ; confidence 0.312
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2. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d12002046.png ; $= \operatorname { min } _ { k \in P } c ^ { T } x ^ { ( k ) } + u _ { 1 } ^ { T } ( A _ { 1 } x ^ { ( k ) } - b _ { 1 } )$ ; confidence 0.488
  
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3. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002049.png ; $m = 2 ^ { a } 3 ^ { b } u ^ { 2 }$ ; confidence 0.311
+
3. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033460/d03346022.png ; $\operatorname { ln } F ^ { \prime } ( \zeta _ { 0 } ) | \leq - \operatorname { ln } ( 1 - \frac { 1 } { | \zeta _ { 0 } | ^ { 2 } } )$ ; confidence 0.488
  
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4. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001057.png ; $0$ ; confidence 0.311
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4. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040146.png ; $i$ ; confidence 0.488
  
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5. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021060.png ; $A _ { 1 } , \ldots , A _ { 8 }$ ; confidence 0.310
+
5. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063240/m063240749.png ; $\prod x$ ; confidence 0.487
  
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6. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055520/k05552082.png ; $\Gamma 20$ ; confidence 0.310
+
6. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083380/s08338085.png ; $d \in C$ ; confidence 0.487
  
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7. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076830/q07683071.png ; $p _ { m } = ( \sum _ { j = 0 } ^ { m } A _ { j } ) ^ { - 1 }$ ; confidence 0.310
+
7. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090342.png ; $\left( \begin{array} { c } { h } \\ { i } \end{array} \right) = \frac { h ( h - 1 ) \ldots ( h - i + 1 ) } { i ! }$ ; confidence 0.487
  
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8. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310136.png ; $A$ ; confidence 0.309
+
8. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021098.png ; $\sum _ { k = 1 } ^ { g } ( A _ { k } B _ { k } ^ { \prime } - B _ { k } A _ { k } ^ { \prime } ) = 2 \pi i \sum _ { j = 1 } ^ { N } c _ { j } \int _ { L _ { j } } \omega _ { 1 }$ ; confidence 0.487
  
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9. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010199.png ; $k ( T ) = \| T \| T ^ { - 1 } \|$ ; confidence 0.308
+
9. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022054.png ; $\overline { W } ^ { T }$ ; confidence 0.486
  
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10. 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
+
10. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010189.png ; $i = 1 , \dots , n$ ; confidence 0.485
  
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11. 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
+
11. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240308.png ; $\hat { \eta } _ { \Omega } = X \hat { \beta }$ ; confidence 0.485
  
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12. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420128.png ; $h$ ; confidence 0.307
+
12. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032450/d032450327.png ; $< \operatorname { Gdim } L < 1 +$ ; confidence 0.485
  
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13. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110110/d11011051.png ; $M _ { 1 } = H \cap _ { k \tau _ { S } } H ^ { \prime }$ ; confidence 0.307
+
13. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043280/g0432802.png ; $x$ ; confidence 0.485
  
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14. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i050230319.png ; $f \in S _ { y } ^ { \prime }$ ; confidence 0.307
+
14. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006049.png ; $\{ X _ { z } : z \in Z ^ { d } \}$ ; confidence 0.485
  
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15. 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
+
15. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010111.png ; $p < m$ ; confidence 0.484
  
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16. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110820/b11082017.png ; $\pi _ { i } / ( \pi _ { i } + \pi _ { j } )$ ; confidence 0.304
+
16. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130180/d13018075.png ; $A ( \vec { G } )$ ; confidence 0.484
  
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17. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082790/r08279064.png ; $\operatorname { Pic } ( F ) \cong p ^ { * } \operatorname { Pic } ( C ) \oplus Z ^ { 5 }$ ; confidence 0.304
+
17. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092250/t09225012.png ; $g ^ { ( i ) }$ ; confidence 0.484
  
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18. 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
+
18. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010266.png ; $2$ ; confidence 0.484
  
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19. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002053.png ; $2 ^ { a + 2 }$ ; confidence 0.302
+
19. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024035.png ; $w ^ { 2 } = a _ { 0 } z ^ { 2 } + a _ { 1 } z + \alpha _ { 2 }$ ; confidence 0.484
  
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20. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036910/e03691017.png ; $a ^ { X } = e ^ { X \operatorname { ln } \alpha }$ ; confidence 0.301
+
20. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012030.png ; $n = 0,1 , \dots$ ; confidence 0.483
  
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21. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086940/s086940100.png ; $- \infty \leq w \leq + \infty$ ; confidence 0.301
+
21. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081110/r08111018.png ; $g 00 = 1 - 2 \phi / c ^ { 2 }$ ; confidence 0.483
  
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22. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021100/c02110012.png ; $x \in \operatorname { Dom } A$ ; confidence 0.300
+
22. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092240/t0922406.png ; $k = R / m$ ; confidence 0.483
  
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23. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080850/r08085028.png ; $e \omega ^ { r } f$ ; confidence 0.300
+
23. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040374.png ; $F , G \in Fi _ { D } A$ ; confidence 0.483
  
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24. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900234.png ; $\Pi I _ { \lambda }$ ; confidence 0.300
+
24. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240311.png ; $\hat { \eta } _ { i j } = y _ { i j }$ ; confidence 0.483
  
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25. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120280/d120280147.png ; $\overline { U }$ ; confidence 0.299
+
25. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022370/c02237023.png ; $N = L . L$ ; confidence 0.482
  
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26. 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
+
26. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052410/i05241032.png ; $y = Arc$ ; confidence 0.482
  
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27. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092650/t09265033.png ; $\{ \partial f \rangle$ ; confidence 0.295
+
27. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240123.png ; $i = 1,2 , \dots$ ; confidence 0.482
  
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28. 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
+
28. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a1100609.png ; $\beta ( A , B ) = \operatorname { E } \operatorname { sup } _ { B \in B } | P ( B | A ) - P ( B ) |$ ; confidence 0.481
  
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29. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014230/a0142305.png ; $\{ A \rangle$ ; confidence 0.294
+
29. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240519.png ; $Z _ { 13 }$ ; confidence 0.481
  
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30. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072430/p072430105.png ; $\phi _ { im }$ ; confidence 0.294
+
30. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075560/p075560136.png ; $P Q = P \times Q$ ; confidence 0.481
  
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31. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070150/o07015054.png ; $\alpha ^ { n } < b ^ { n + 1 }$ ; confidence 0.291
+
31. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087450/s087450204.png ; $\theta _ { T } ^ { * }$ ; confidence 0.481
  
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32. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082160/r082160299.png ; $\{ \operatorname { exp } _ { m } ( \text { Cutval } ( \xi ) \xi ) \} = \text { Cutloc } ( m )$ ; confidence 0.291
+
32. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240501.png ; $9$ ; confidence 0.481
  
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33. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031380/d031380384.png ; $\sum _ { \mathfrak { D } _ { 1 } ^ { 1 } } ( E \times N ^ { N } )$ ; confidence 0.290
+
33. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043010/g04301029.png ; $X \times F$ ; confidence 0.480
  
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34. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044680/g04468049.png ; $t \circ \in E$ ; confidence 0.290
+
34. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110130/k11013020.png ; $( \alpha _ { i } ) _ { i \in I }$ ; confidence 0.480
  
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35. 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
+
35. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240472.png ; $i = 1 , \ldots , m$ ; confidence 0.480
  
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36. 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
+
36. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055910/k05591019.png ; $\sum _ { j = 1 } ^ { n } b _ { j } r j \in Z$ ; confidence 0.479
  
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37. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014190/a0141905.png ; $x _ { y } + 1 = t$ ; confidence 0.287
+
37. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110230/p110230174.png ; $F _ { p q } \neq F _ { p q } ^ { * }$ ; confidence 0.479
  
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38. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041940/f041940310.png ; $A \in \mathfrak { S }$ ; confidence 0.285
+
38. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085330/s08533026.png ; $18$ ; confidence 0.479
  
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39. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013031.png ; $( \partial / \partial t _ { x } ) - Q _ { 0 } z ^ { x }$ ; confidence 0.284
+
39. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010236.png ; $\hat { \lambda }$ ; confidence 0.479
  
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40. 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
+
40. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021066.png ; $\omega 1,2$ ; confidence 0.479
  
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41. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240196.png ; $\sqrt { 3 }$ ; confidence 0.281
+
41. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004074.png ; $5$ ; confidence 0.478
  
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42. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010211.png ; $1 / S i$ ; confidence 0.280
+
42. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021054.png ; $a - x \neq 0$ ; confidence 0.478
  
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43. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040685.png ; $X \in X$ ; confidence 0.278
+
43. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024019.png ; $y$ ; confidence 0.478
  
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44. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082060/r082060102.png ; $f ^ { \mu } | _ { K }$ ; confidence 0.278
+
44. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016170/b0161704.png ; $| w | < r _ { 0 }$ ; confidence 0.478
  
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45. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240191.png ; $X ^ { \prime } X \hat { \beta } = X ^ { \prime } y$ ; confidence 0.277
+
45. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095440/u09544022.png ; $O ( \epsilon _ { N } )$ ; confidence 0.478
  
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46. 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
+
46. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022038.png ; $A l ( z )$ ; confidence 0.477
  
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47. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240430.png ; $a ^ { \prime } \Theta$ ; confidence 0.275
+
47. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010330/a01033021.png ; $\beta \frac { 1 } { r } / r$ ; confidence 0.477
  
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48. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130270/a13027051.png ; $\{ x _ { n j } ^ { \prime } \}$ ; confidence 0.273
+
48. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110640/a11064014.png ; $\Omega$ ; confidence 0.477
  
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49. 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
+
49. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013032.png ; $\phi$ ; confidence 0.476
  
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50. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a1202207.png ; $| e | | < 1$ ; confidence 0.271
+
50. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022040/c02204098.png ; $\Omega _ { 2 n } ^ { 2 } \rightarrow Z$ ; confidence 0.476
  
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51. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012410/a01241063.png ; $s = s ^ { * } \cup ( s \backslash s ^ { * } ) ^ { * } U \ldots$ ; confidence 0.271
+
51. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020155.png ; $V \oplus \mathfrak { g }$ ; confidence 0.476
  
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52. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016960/b016960150.png ; $99$ ; confidence 0.271
+
52. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120050/s12005011.png ; $S _ { B B } ( z ) \equiv 0$ ; confidence 0.476
  
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53. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058920/l05892067.png ; $Z y \rightarrow \infty$ ; confidence 0.270
+
53. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040144.png ; $R \subset P ^ { 2 }$ ; confidence 0.476
  
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54. 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
+
54. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240305.png ; $4$ ; confidence 0.475
  
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55. 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
+
55. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010080/a0100803.png ; $x$ ; confidence 0.475
  
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56. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021570/c02157044.png ; $\chi \pi _ { \alpha }$ ; confidence 0.268
+
56. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120030/k12003033.png ; $E \neq \emptyset$ ; confidence 0.475
  
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57. 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
+
57. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010420/a0104201.png ; $X _ { 1 } , \ldots , X _ { n }$ ; confidence 0.474
  
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58. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i130030178.png ; $h ( [ a ] )$ ; confidence 0.265
+
58. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240470.png ; $n$ ; confidence 0.474
  
−
59. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080940/r08094048.png ; $\{ \alpha _ { n } \} _ { \aleph = 0 } ^ { \infty }$ ; confidence 0.264
+
59. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013048.png ; $i$ ; confidence 0.474
  
−
60. 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
+
60. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017380/b01738068.png ; $t \in S$ ; confidence 0.474
  
−
61. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023150/c023150187.png ; $\alpha : H ^ { n } ( : Z ) \rightarrow H ^ { n + 3 } ( : Z _ { 2 } )$ ; confidence 0.262
+
61. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026480/c02648015.png ; $\prod _ { i \in l } ^ { * } A _ { i }$ ; confidence 0.474
  
−
62. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l057000153.png ; $+ ( \lambda x y \cdot y ) : ( \sigma \rightarrow ( \tau \rightarrow \tau ) )$ ; confidence 0.262
+
62. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059160/l059160231.png ; $\lambda \geq \gamma$ ; confidence 0.474
  
−
63. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076610/q07661044.png ; $\beta X = S \square x = \omega _ { \kappa } X$ ; confidence 0.261
+
63. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240499.png ; $X _ { 4 } = ( 0,1 ) ^ { \prime }$ ; confidence 0.474
  
−
64. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010241.png ; $x = T ( \Lambda - \hat { \lambda } I ) ^ { - 1 } T ^ { - 1 } r$ ; confidence 0.261
+
64. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240343.png ; $2$ ; confidence 0.473
  
−
65. 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
+
65. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110080/k1100801.png ; $W _ { C }$ ; confidence 0.473
  
−
66. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022037.png ; $r _ { ess } ( T )$ ; confidence 0.259
+
66. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059350/l059350157.png ; $x ( 0 ) \in R ^ { n }$ ; confidence 0.473
  
−
67. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a1201308.png ; $m$ ; confidence 0.259
+
67. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064000/m064000100.png ; $\| u \| _ { H ^ { \prime } } \leq R$ ; confidence 0.473
  
−
68. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087770/s08777049.png ; $V _ { k } ( H ^ { n } ) = \frac { Sp ( n ) } { Sp ( n - k ) }$ ; confidence 0.259
+
68. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018026.png ; $\lambda _ { x } = n$ ; confidence 0.473
  
−
69. 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
+
69. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060150.png ; $P _ { V } ^ { \# } ( n )$ ; confidence 0.472
  
−
70. 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
+
70. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120160/l12016033.png ; $( S ^ { 1 } )$ ; confidence 0.472
  
−
71. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010258.png ; $r = H . | A | . | x$ ; confidence 0.258
+
71. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021032.png ; $A _ { 1 } ^ { \prime } , B _ { 1 } ^ { \prime } , \dots , A ^ { \prime } , B _ { g } ^ { \prime }$ ; confidence 0.471
  
−
72. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096380/v09638089.png ; $\pi : B \rightarrow G ^ { k } ( V )$ ; confidence 0.258
+
72. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091010/s09101020.png ; $c = \operatorname { const } \neq 0$ ; confidence 0.470
  
−
73. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020058.png ; $\operatorname { Ker } \beta \in \mathfrak { A } _ { 1 }$ ; confidence 0.257
+
73. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093670/t09367092.png ; $d s _ { é } = \frac { | d z | } { 1 + | z | ^ { 2 } }$ ; confidence 0.470
  
−
74. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052500/i05250054.png ; $L ^ { \prime }$ ; confidence 0.256
+
74. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110250/h11025012.png ; $T ^ { \aleph } x \in A$ ; confidence 0.469
  
−
75. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068370/o06837057.png ; $x _ { C }$ ; confidence 0.256
+
75. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021040.png ; $i \neq i$ ; confidence 0.468
  
−
76. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073700/p07370045.png ; $[ f _ { G } ]$ ; confidence 0.256
+
76. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010249.png ; $( A + \delta A ) \hat { x } = \hat { \lambda } \hat { x }$ ; confidence 0.467
  
−
77. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044350/g044350101.png ; $D \Re \subset M$ ; confidence 0.255
+
77. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014190/a01419058.png ; $\phi ( t ) \equiv$ ; confidence 0.467
  
−
78. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021042.png ; $i , j = 1 , \dots , g$ ; confidence 0.255
+
78. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020073.png ; $9 -$ ; confidence 0.467
  
−
79. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010710/a01071024.png ; $A = A _ { 1 } \cap \ldots \cap A _ { n }$ ; confidence 0.254
+
79. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027180/c027180181.png ; $E _ { x } ( s )$ ; confidence 0.467
  
−
80. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027180/c027180124.png ; $7$ ; confidence 0.254
+
80. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068370/o06837017.png ; $( \alpha b ) \sigma = \alpha \sigma b \sigma$ ; confidence 0.467
  
−
81. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010281.png ; $( A _ { x } \lambda ^ { x } + A _ { x - 1 } \lambda ^ { x - 1 } + \ldots + A _ { 0 } ) x = 0$ ; confidence 0.253
+
81. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010109.png ; $B N = \operatorname { max } _ { 1 \leq i \leq x } | b _ { i } |$ ; confidence 0.467
  
−
82. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120300/c12030053.png ; $\sum _ { i = 1 } ^ { n } S _ { i } S _ { i } ^ { * } < I$ ; confidence 0.253
+
82. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017380/b01738057.png ; $L u = \frac { \partial ^ { 2 } u } { \partial x ^ { 2 } } - \frac { \partial u } { \partial t } = 0$ ; confidence 0.466
  
−
83. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052980/i05298049.png ; $L ^ { \prime } ( T _ { x } M )$ ; confidence 0.252
+
83. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095290/u09529039.png ; $t \rightarrow t + w z$ ; confidence 0.466
  
−
84. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076800/q07680094.png ; $\tau _ { 0 } ^ { e ^ { 3 } }$ ; confidence 0.252
+
84. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020169.png ; $H \mapsto C _ { A } ^ { \prime }$ ; confidence 0.465
  
−
85. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240242.png ; $SS _ { H } = \sum _ { i = 1 } ^ { \Psi } z _ { i } ^ { 2 }$ ; confidence 0.251
+
85. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a13001015.png ; $S ^ { * } = S$ ; confidence 0.463
  
−
86. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010820/a01082073.png ; $X \in Ob \odot$ ; confidence 0.251
+
86. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082450/r0824503.png ; $( a + b ) \alpha = \alpha \alpha + b \alpha$ ; confidence 0.463
  
−
87. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120370/b12037092.png ; $\sum \frac { 1 } { 1 }$ ; confidence 0.251
+
87. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097710/w09771010.png ; $Z _ { \zeta } ( T )$ ; confidence 0.463
  
−
88. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110910/b11091027.png ; $\frac { \partial N _ { i } } { \partial t } + u _ { i } \nabla N _ { i } = G _ { i } - L _ { i }$ ; confidence 0.250
+
88. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013017.png ; $P$ ; confidence 0.462
  
−
89. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073830/p07383050.png ; $E \subset X = R ^ { \prime }$ ; confidence 0.250
+
89. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110590/b11059067.png ; $u = q ( x ) \text { on } g$ ; confidence 0.462
  
−
90. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076850/q07685043.png ; $E [ \tau _ { j } ^ { S } - \tau _ { j } ^ { \dot { e } } ] ^ { 2 + \gamma }$ ; confidence 0.250
+
90. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024850/c024850182.png ; $m = p _ { 1 } ^ { \alpha _ { 1 } } \ldots p _ { s } ^ { \alpha _ { S } }$ ; confidence 0.462
  
−
91. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033190/d03319041.png ; $t _ { 8 } + 1 / 2 = t _ { n } + \tau / 2$ ; confidence 0.248
+
91. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051970/i051970120.png ; $\omega _ { n - 1 } ( z ) = ( z - b _ { 0 } ) \ldots ( z - b _ { n } - 1 )$ ; confidence 0.462
  
−
92. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120060/l12006043.png ; $\int _ { 0 } ^ { \infty } \frac { | ( V \phi | \lambda \rangle ^ { 2 } } { \lambda } _ { d } \lambda < E _ { 0 }$ ; confidence 0.248
+
92. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040249.png ; $H _ { k } + 1 , \ldots , H _ { k } + m$ ; confidence 0.462
  
−
93. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076500/q07650033.png ; $3 r ( L _ { 1 } \cap L _ { 2 } ) = 3 _ { r } ( L _ { 1 } ) + 3 r ( L _ { 2 } )$ ; confidence 0.248
+
93. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032070/d03207031.png ; $2 \pi \alpha$ ; confidence 0.461
  
−
94. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001043.png ; $\| \delta x \| f \| x \| \approx \epsilon . k ( A )$ ; confidence 0.247
+
94. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057780/l057780185.png ; $\alpha _ { 2 } ( t ) = t$ ; confidence 0.461
  
−
95. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a1301308.png ; $s l _ { 2 }$ ; confidence 0.247
+
95. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059490/l059490155.png ; $| \epsilon | < \epsilon$ ; confidence 0.461
  
−
96. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055630/k0556303.png ; $| m K _ { V ^ { \prime } } | ^ { J }$ ; confidence 0.246
+
96. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a0102008.png ; $\square _ { R } \Omega$ ; confidence 0.460
  
−
97. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010217.png ; $1 / | y ^ { i } _ { x ^ { i } } ^ { * }$ ; confidence 0.245
+
97. https://www.encyclopediaofmath.org/legacyimages/p/p071/p071010/p07101037.png ; $p _ { i }$ ; confidence 0.459
  
−
98. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035170/e03517056.png ; $\| \hat { A } - A \| \leq \delta$ ; confidence 0.245
+
98. https://www.encyclopediaofmath.org/legacyimages/y/y110/y110010/y11001031.png ; $H _ { 1 } \subset L _ { N }$ ; confidence 0.459
  
−
99. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055080/k05508019.png ; $\nu _ { 0 } \in C ^ { n }$ ; confidence 0.245
+
99. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021081.png ; $\omega ; 0$ ; confidence 0.458
  
−
100. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070010/o070010110.png ; $X = \cup _ { \alpha } X _ { \alpha }$ ; confidence 0.245
+
100. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013010.png ; $t = ( t _ { x } )$ ; confidence 0.458
  
−
101. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t130140116.png ; $q R$ ; confidence 0.245
+
101. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024029.png ; $1$ ; confidence 0.458
  
−
102. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110990/b11099011.png ; $V _ { Q }$ ; confidence 0.244
+
102. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075660/p075660284.png ; $A : H ^ { S } ( X ) \rightarrow H ^ { S - m } ( X )$ ; confidence 0.458
  
−
103. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010251.png ; $\| v \| = \| A x - \hat { \lambda } x \| _ { 2 } \leq \epsilon \| A \| _ { 2 } \| x \| _ { 2 }$ ; confidence 0.243
+
103. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014310/a01431093.png ; $A ( \iota X A ( x ) )$ ; confidence 0.456
  
−
104. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010207.png ; $\operatorname { min } _ { i } | \hat { \lambda } - \lambda _ { i } | \leq \rho ( | T ^ { - 1 } | | \delta A | | T | )$ ; confidence 0.242
+
104. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074530/p07453019.png ; $\phi ( n ) = n ( 1 - \frac { 1 } { p _ { 1 } } ) \dots ( 1 - \frac { 1 } { p _ { k } } )$ ; confidence 0.456
  
−
105. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110130/b110130209.png ; $v ( \lambda ) = ( y _ { 0 } + \lambda ^ { - 1 } y _ { - 1 } + \ldots + \lambda ^ { - p } y - p ) y _ { 0 } ^ { - 1 / 2 }$ ; confidence 0.241
+
105. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024034.png ; $w ^ { 2 } = a 0 z + a 1$ ; confidence 0.455
  
−
106. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010110.png ; $A N = \operatorname { max } _ { 1 } \leq i _ { j } \leq n | \alpha _ { \xi } j |$ ; confidence 0.241
+
106. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050110.png ; $M$ ; confidence 0.455
  
−
107. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013045.png ; $= \frac { 1 } { 2 } \operatorname { Tr } ( \sum _ { r = 0 } ^ { j } ( j - r ) Q _ { r } Q _ { k + j - r } + \frac { 1 } { 2 } \sum _ { r = 0 } ^ { j } ( r - k ) Q _ { r } Q _ { k + j - r } )$ ; confidence 0.240
+
107. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052450/i0524504.png ; $b = f ( a ) = b _ { 0 }$ ; confidence 0.455
  
−
108. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240527.png ; $( n$ ; confidence 0.239
+
108. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l12003069.png ; $T _ { F }$ ; confidence 0.455
  
−
109. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097870/w09787060.png ; $\prod _ { \nu } : \prod _ { i \in I _ { \nu } } f _ { i } : = \sum _ { G } \prod _ { e \in G } < f _ { e _ { 1 } } f _ { e _ { 2 } } > : \prod _ { i \notin [ G ] } f _ { i : }$ ; confidence 0.238
+
109. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002060.png ; $( q ^ { d + 1 } ( 1 + \frac { q ^ { d + 1 } - 1 } { q ^ { - 1 } } ) , q ^ { d } \cdot \frac { q ^ { d + 1 } - 1 } { q ^ { - 1 } } , q ^ { d } \cdot \frac { q ^ { d } - 1 } { q ^ { - 1 } } )$ ; confidence 0.455
  
−
110. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013020.png ; $0.00$ ; confidence 0.237
+
110. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012047.png ; $W _ { 1 }$ ; confidence 0.455
  
−
111. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026450/c02645091.png ; $X _ { 1 }$ ; confidence 0.237
+
111. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004025.png ; $L$ ; confidence 0.453
  
−
112. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015400/b01540091.png ; $\Psi _ { 1 } ( Y ) / \hat { q } ( Y ) \leq \psi ( Y ) \leq \Psi _ { 2 } ( Y ) / \hat { q } ( Y )$ ; confidence 0.236
+
112. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021026.png ; $A _ { 1 } , B _ { 1 } , \dots , A , B _ { g }$ ; confidence 0.453
  
−
113. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240370.png ; $2$ ; confidence 0.235
+
113. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010204.png ; $I - ( \tilde { \lambda } I - A ) ^ { - 1 } \delta A$ ; confidence 0.452
  
−
114. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047070/h0470704.png ; $\alpha _ { i k } = \overline { a _ { k i } }$ ; confidence 0.235
+
114. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035170/e03517077.png ; $\overline { U _ { n } \in N A _ { n } ( B ) }$ ; confidence 0.452
  
−
115. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054050/j05405038.png ; $\theta _ { 2 } ( v \pm \tau ) = e ^ { - i \pi \tau } \cdot e ^ { - 2 i \pi v } \cdot \theta _ { 2 } ( v )$ ; confidence 0.234
+
115. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010197.png ; $1 \leq \| T ( \hat { \lambda } I - \Lambda ) ^ { - 1 } T ^ { - 1 } \delta A \| \leq$ ; confidence 0.451
  
−
116. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083170/s08317062.png ; $\tilde { D } = E \{ M | m = 0 \} = \frac { ( \sum _ { r = 1 } ^ { N - n } r \frac { C _ { N - r } ^ { n } } { C _ { N } ^ { n } } p _ { r } ) } { P \{ m = 0 \} }$ ; confidence 0.234
+
116. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017330/b01733030.png ; $f ( e ^ { i \theta } ) = \operatorname { lim } _ { r \rightarrow 1 - 0 } f ( r e ^ { i \theta } )$ ; confidence 0.451
  
−
117. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110370/b11037052.png ; $= 0 \text { as. } \cdot P _ { \theta _ { 0 } } ]$ ; confidence 0.233
+
117. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012064.png ; $n = 0,1 , \dots$ ; confidence 0.450
  
−
118. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091910/s091910121.png ; $T _ { i } = C A ^ { i } B ^ { i } B$ ; confidence 0.233
+
118. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420133.png ; $i$ ; confidence 0.450
  
−
119. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010229.png ; $\frac { \| x ^ { 2 } - x ^ { i } \| } { \| x ^ { i } \| } \leq \frac { \psi } { \operatorname { min } _ { j \neq i } | \lambda _ { i } - \lambda _ { j } | - 2 \psi }$ ; confidence 0.233
+
119. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012940/a01294080.png ; $F _ { b }$ ; confidence 0.450
  
−
120. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020190/c02019023.png ; $C A$ ; confidence 0.232
+
120. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085210/s08521029.png ; $q ^ { l } ( q ^ { 2 } - 1 ) \dots ( q ^ { 2 l } - 1 ) / d$ ; confidence 0.450
  
−
121. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031380/d031380303.png ; $\Pi \stackrel { D } { 3 } = F _ { \sigma \delta }$ ; confidence 0.232
+
121. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025130/c0251306.png ; $f _ { i } : D ^ { n } \rightarrow M _ { i }$ ; confidence 0.449
  
−
122. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015560/b01556018.png ; $D \times D \in \Gamma ^ { 2 }$ ; confidence 0.230
+
122. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o130060187.png ; $( \sigma _ { 2 } \frac { \partial } { \partial t _ { 1 } } - \sigma _ { 1 } \frac { \partial } { \partial t _ { 2 } } + \gamma ) u = 0$ ; confidence 0.449
  
−
123. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780328.png ; $im ( \Omega _ { S C } \rightarrow \Omega _ { O } )$ ; confidence 0.230
+
123. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012054.png ; $\frac { \operatorname { lim } } { k \rightarrow \infty } \frac { n _ { k } } { | \lambda _ { k } | } = 0$ ; confidence 0.447
  
−
124. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130010/k13001041.png ; $A | D _ { + } \rangle - A ^ { - 1 } \langle D _ { - } \} = ( A ^ { 2 } - A ^ { - 2 } ) \langle D _ { 0 } \}$ ; confidence 0.230
+
124. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120310/c12031028.png ; $| \alpha | = \sum _ { l = 1 } ^ { d ^ { 2 } } \alpha _ { l }$ ; confidence 0.447
  
−
125. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065160/m06516021.png ; $\operatorname { ess } \operatorname { sup } _ { X } | f ( x ) | = \operatorname { lim } _ { n \rightarrow \infty } ( \frac { \int | f ( x ) | ^ { n } d M _ { X } } { \int _ { X } d M _ { x } } )$ ; confidence 0.229
+
125. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047540/h04754045.png ; $\Omega \frac { p } { x }$ ; confidence 0.447
  
−
126. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093160/t09316053.png ; $\sum _ { k = 1 } ^ { \infty } p _ { 1 } ( x _ { k } ) p _ { 2 } ( y _ { k } ) \leq p _ { 1 } \overline { Q } p _ { 2 } ( u ) + \epsilon$ ; confidence 0.229
+
126. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090820/s0908209.png ; $X ^ { * }$ ; confidence 0.447
  
−
127. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210112.png ; $( \omega ) = P _ { 1 } ^ { \alpha _ { 1 } } 1 ^ { \square } \ldots P _ { n } ^ { \alpha _ { R } }$ ; confidence 0.228
+
127. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010136.png ; $p = ( p _ { 1 } , \dots , p _ { n } + 2 )$ ; confidence 0.447
  
−
128. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240536.png ; $Z _ { 23 }$ ; confidence 0.228
+
128. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004017.png ; $\phi _ { L }$ ; confidence 0.446
  
−
129. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037040/e03704050.png ; $n + = n - = n$ ; confidence 0.228
+
129. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040246.png ; $C ^ { M }$ ; confidence 0.446
  
−
130. https://www.encyclopediaofmath.org/legacyimages/x/x120/x120010/x120010101.png ; $\operatorname { Aut } ( R ) / \operatorname { ln } n ( R ) \cong H$ ; confidence 0.228
+
130. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240539.png ; $T _ { 1 }$ ; confidence 0.446
  
−
131. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110410/c11041043.png ; $C X Y$ ; confidence 0.226
+
131. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001062.png ; $i$ ; confidence 0.446
  
−
132. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073530/p07353041.png ; $t ^ { i _ { 1 } } \cdots \dot { d p } = \operatorname { det } \| x _ { i } ^ { i _ { k } } \|$ ; confidence 0.226
+
132. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017330/b017330242.png ; $f ^ { * } ( z ) = \operatorname { lim } _ { r \rightarrow 1 - 0 } f ( r z )$ ; confidence 0.445
  
−
133. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110250/c1102508.png ; $20$ ; confidence 0.225
+
133. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180501.png ; $g \in S ^ { 2 } \varepsilon$ ; confidence 0.445
  
−
134. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025700/c02570021.png ; $I \rightarrow \cup _ { i \in l } J _ { i }$ ; confidence 0.225
+
134. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040210/f04021064.png ; $\phi ( \mathfrak { A } )$ ; confidence 0.445
  
−
135. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026450/c02645033.png ; $\sum _ { K \in \mathscr { K } } \lambda _ { K } \chi _ { K } ( i ) = \chi _ { I } ( i ) \quad \text { for all } i \in I$ ; confidence 0.223
+
135. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086490/s086490118.png ; $d ^ { \prime }$ ; confidence 0.445
  
−
136. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063710/m06371091.png ; $n _ { 1 } < n _ { 2 } .$ ; confidence 0.222
+
136. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027000/c02700011.png ; $\frac { F _ { n } ( - x ) } { \Phi ( - x ) } = \operatorname { exp } \{ - \frac { x ^ { 3 } } { \sqrt { n } } \lambda ( - \frac { x } { \sqrt { n } } ) \} [ 1 + O ( \frac { x } { \sqrt { n } } ) ]$ ; confidence 0.444
  
−
137. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043470/g0434707.png ; $\nabla _ { \theta } : H _ { \delta R } ^ { 1 } ( X / K ) \rightarrow H _ { \partial R } ^ { 1 } ( X / K )$ ; confidence 0.221
+
137. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040214.png ; $K _ { A }$ ; confidence 0.444
  
−
138. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012460/a012460130.png ; $X \equiv 0$ ; confidence 0.220
+
138. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240229.png ; $\zeta _ { q } + 1 , \dots , \zeta _ { r }$ ; confidence 0.443
  
−
139. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080740/r0807408.png ; $x _ { n m _ { n } } \rightarrow ( 0 )$ ; confidence 0.220
+
139. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020023.png ; $\alpha _ { i } \in R$ ; confidence 0.443
  
−
140. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240383.png ; $H ^ { \prime }$ ; confidence 0.219
+
140. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020540/c020540105.png ; $s _ { m } = r - s - \operatorname { rank } M _ { m } - 1$ ; confidence 0.443
  
−
141. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110270/b11027042.png ; $P ( s S ) = P ( S )$ ; confidence 0.219
+
141. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780129.png ; $\Omega _ { f r } ^ { i }$ ; confidence 0.443
  
−
142. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020082.png ; $3$ ; confidence 0.218
+
142. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025180/c02518080.png ; $f _ { x } ^ { - 1 }$ ; confidence 0.443
  
−
143. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031750/d03175051.png ; $Z _ { h }$ ; confidence 0.217
+
143. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q07631095.png ; $\left( \begin{array} { l } { n } \\ { k } \end{array} \right) _ { q } = \frac { ( q ^ { n } - 1 ) \ldots ( q ^ { n - k + 1 } - 1 ) } { ( q ^ { k } - 1 ) \ldots ( q - 1 ) }$ ; confidence 0.443
  
−
144. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087420/s087420178.png ; $\mathfrak { A } _ { \infty } = \overline { U _ { V \subset R ^ { 3 } } } A ( \mathcal { H } _ { V } )$ ; confidence 0.216
+
144. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130290/a13029066.png ; $Y$ ; confidence 0.441
  
−
145. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058430/l058430107.png ; $g ^ { \prime } / ( 1 - u ) g ^ { \prime } = \overline { g }$ ; confidence 0.215
+
145. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040746.png ; $P \cup R$ ; confidence 0.441
  
−
146. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015660/b01566071.png ; $\nu = a + x + 2 [ \frac { n - t - x - \alpha } { 2 } ] + 1$ ; confidence 0.213
+
146. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004095.png ; $d > 1$ ; confidence 0.441
  
−
147. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020063.png ; $21 / 21$ ; confidence 0.212
+
147. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001037.png ; $\| \delta b \| \leq \epsilon \| b \|$ ; confidence 0.440
  
−
148. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044340/g044340202.png ; $\xi _ { p } \in ( \nu F ^ { m } ) p$ ; confidence 0.212
+
148. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082560/r08256041.png ; $300$ ; confidence 0.440
  
−
149. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031730/d03173088.png ; $| u - v | \leq \operatorname { inf } _ { w ^ { \prime } \in K } | u - w |$ ; confidence 0.210
+
149. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085580/s085580244.png ; $M = \frac { a } { a ^ { 2 } - b ^ { 2 } } I - \frac { b } { a ^ { 2 } - b ^ { 2 } } S$ ; confidence 0.440
  
−
150. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082070/r08207022.png ; $R _ { i l k } ^ { q } = - R _ { k l } ^ { q }$ ; confidence 0.210
+
150. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130150/t13015070.png ; $C ^ { * } E ( S ) \otimes _ { \delta } C _ { 0 } ( S )$ ; confidence 0.440
  
−
151. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013042.png ; $X _ { i } \in \operatorname { sl } _ { 2 } ( C )$ ; confidence 0.209
+
151. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040671.png ; $\{ X , v \}$ ; confidence 0.439
  
−
152. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031280/d031280129.png ; $f : X ^ { \cdot } \rightarrow Y$ ; confidence 0.209
+
152. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022081.png ; $\alpha _ { j k } = \alpha _ { k l }$ ; confidence 0.439
  
−
153. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031470/d0314706.png ; $| \hat { b } _ { n } | = 1$ ; confidence 0.209
+
153. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130020/a1300205.png ; $X \subset R ^ { n }$ ; confidence 0.439
  
−
154. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020048.png ; $B \in Ob \mathfrak { A } _ { 1 }$ ; confidence 0.209
+
154. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021057.png ; $( \frac { a - x } { z ^ { x } } + \ldots + \frac { a - 2 } { z ^ { 2 } } + f ( z ) ) d z$ ; confidence 0.439
  
−
155. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240502.png ; $Z _ { i j }$ ; confidence 0.208
+
155. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022051.png ; $U W ^ { T } = 0$ ; confidence 0.439
  
−
156. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001098.png ; $k$ ; confidence 0.208
+
156. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210107.png ; $k , b + k$ ; confidence 0.439
  
−
157. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020049.png ; $A , C \in Ob A _ { 1 }$ ; confidence 0.207
+
157. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040344.png ; $F \in Fi _ { D } A$ ; confidence 0.438
  
−
158. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014310/a01431097.png ; $| x$ ; confidence 0.207
+
158. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015069.png ; $\mathfrak { a } / W$ ; confidence 0.438
  
−
159. 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
+
159. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f13010016.png ; $u \in C ^ { G }$ ; confidence 0.438
  
−
160. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010600/a01060019.png ; $H _ { \hat { j } }$ ; confidence 0.205
+
160. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097350/w0973509.png ; $A = N \oplus S _ { 1 }$ ; confidence 0.438
  
−
161. 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
+
161. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680195.png ; $b _ { i } = \alpha _ { i } \alpha _ { 1 }$ ; confidence 0.437
  
−
162. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031380/d031380296.png ; $\sum _ { \sim } D _ { n + 1 } ^ { 0 }$ ; confidence 0.204
+
162. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021620/c02162068.png ; $\pi _ { \mathscr { q } } ( F )$ ; confidence 0.437
  
−
163. 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
+
163. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042030/f04203082.png ; $T _ { \rightarrow } V ^ { - 1 } T V$ ; confidence 0.437
  
−
164. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010162.png ; $\hat { \kappa } ( A )$ ; confidence 0.201
+
164. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001094.png ; $\overline { X } \rightarrow X$ ; confidence 0.437
  
−
165. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010080/a0100805.png ; $\{ A _ { n _ { 1 } } \ldots n _ { k } \}$ ; confidence 0.200
+
165. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024030.png ; $n \times p$ ; confidence 0.435
  
−
166. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020740/c020740146.png ; $\alpha \rightarrow \dot { b }$ ; confidence 0.200
+
166. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110080/d11008067.png ; $= d ( w ^ { H _ { i } } | v ^ { H _ { i } } ) \cdot e ( w ^ { H _ { i } } | v ^ { H _ { i } } ) . f ( w ^ { H _ { i } } | v ^ { H _ { i } } )$ ; confidence 0.435
  
−
167. 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
+
167. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110050/h1100503.png ; $\alpha _ { 1 } \ldots \alpha _ { m }$ ; confidence 0.435
  
−
168. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012970/a012970198.png ; $\hat { W } \square _ { \infty } ^ { \gamma }$ ; confidence 0.199
+
168. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a0102208.png ; $w _ { \nu } = ( \omega _ { 1 } \nu , \ldots , \omega _ { p } \nu ) , \quad \nu = 1 , \ldots , 2 p$ ; confidence 0.435
  
−
169. 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
+
169. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013098.png ; $\pi$ ; confidence 0.434
  
−
170. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033420/d03342015.png ; $\sigma _ { k }$ ; confidence 0.198
+
170. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i13009013.png ; $k = k _ { 0 } \subset k _ { 1 } \subset \ldots \subset k _ { n } \subset \ldots \subset K = \cup _ { n \geq 0 } k _ { k }$ ; confidence 0.434
  
−
171. 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
+
171. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018040.png ; $s = s 1$ ; confidence 0.434
  
−
172. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092470/t092470182.png ; $e _ { v } \leq \mathfrak { e } _ { v } + 1$ ; confidence 0.197
+
172. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a0101204.png ; $\{ A _ { N } \}$ ; confidence 0.433
  
−
173. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120190/e12019037.png ; $l _ { x }$ ; confidence 0.196
+
173. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029080.png ; $\pi x : X _ { \delta } \rightarrow X$ ; confidence 0.433
  
−
174. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023150/c02315041.png ; $f : S ^ { m } \rightarrow S ^ { n }$ ; confidence 0.195
+
174. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017620/b0176209.png ; $P _ { C } ^ { 1 }$ ; confidence 0.433
  
−
175. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059160/l059160187.png ; $\dot { u } = A _ { n } u$ ; confidence 0.195
+
175. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120030/q12003027.png ; $X ( Y . f ) = ( Y X ) . f$ ; confidence 0.433
  
−
176. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001010.png ; $\delta _ { a }$ ; confidence 0.195
+
176. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072850/p072850130.png ; $X \subset M ^ { n }$ ; confidence 0.432
  
−
177. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020040.png ; $Z ^ { x } , B ^ { x } , H ^ { x }$ ; confidence 0.194
+
177. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073840/p0738407.png ; $A \supset B$ ; confidence 0.432
  
−
178. 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
+
178. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077370/r07737019.png ; $P \{ Z _ { n } < x \} - \Phi ( x ) = O ( \frac { 1 } { n } )$ ; confidence 0.432
  
−
179. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083330/s0833306.png ; $\phi _ { \mathscr { A } } ( . )$ ; confidence 0.193
+
179. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022026.png ; $L ^ { Y } ( X , Y )$ ; confidence 0.431
  
−
180. 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
+
180. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a1202206.png ; $\varepsilon \in X$ ; confidence 0.430
  
−
181. 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
+
181. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035800/e0358008.png ; $\nu ( n ) = \alpha$ ; confidence 0.430
  
−
182. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110490/c1104902.png ; $\sqrt { 2 }$ ; confidence 0.191
+
182. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082560/r08256016.png ; $1$ ; confidence 0.430
  
−
183. 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
+
183. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013025.png ; $C ^ { \infty } ( s ^ { 1 } , SL _ { 2 } ( C ) )$ ; confidence 0.430
  
−
184. 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
+
184. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033530/d03353095.png ; $\psi ( x ) = x - \sum _ { | \gamma | \leq T } \frac { x ^ { \rho } } { \rho } + O ( \frac { X } { T } \operatorname { log } ^ { 2 } x T + \operatorname { log } 2 x )$ ; confidence 0.429
  
−
185. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080190/r08019038.png ; $\{ f ^ { t } | \Sigma _ { X } \} _ { t \in R }$ ; confidence 0.191
+
185. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004090.png ; $d > 5$ ; confidence 0.427
  
−
186. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010125.png ; $\dot { i } \leq n$ ; confidence 0.190
+
186. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110130/b110130207.png ; $\left( \begin{array} { c } { y - p } \\ { \vdots } \\ { y - 1 } \\ { y _ { 0 } } \end{array} \right) = \Gamma ^ { - 1 } \left( \begin{array} { c } { 0 } \\ { \vdots } \\ { 0 } \\ { 1 } \end{array} \right)$ ; confidence 0.427
  
−
187. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074710/p07471055.png ; $g _ { 0 } g ^ { \prime } \in G$ ; confidence 0.189
+
187. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a0102405.png ; $\alpha ; ( z )$ ; confidence 0.427
  
−
188. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026010/c026010308.png ; $v _ { ( E ) } = v$ ; confidence 0.188
+
188. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097450/w09745010.png ; $= \frac { 1 } { z ^ { 2 } } + c 2 z ^ { 2 } + c _ { 4 } z ^ { 4 } + \ldots$ ; confidence 0.426
  
−
189. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010100.png ; $O = G / \operatorname { Sp } ( 1 ) . K$ ; confidence 0.187
+
189. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010840/a01084029.png ; $l \mapsto ( . l )$ ; confidence 0.425
  
−
190. 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
+
190. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120230/a12023068.png ; $c _ { q }$ ; confidence 0.425
  
−
191. 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
+
191. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091200/s09120056.png ; $\operatorname { psq } ( n ) = \operatorname { sq } ( n ) / \{ c E : c \in C \}$ ; confidence 0.425
  
−
192. 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
+
192. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012330/a01233050.png ; $x <$ ; confidence 0.424
  
−
193. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g043780231.png ; $\overline { h } ( X ) = \operatorname { lim } _ { h } h ^ { * } ( X _ { \alpha } )$ ; confidence 0.185
+
193. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024850/c024850206.png ; $f ^ { \prime } ( x _ { 1 } ) \equiv 0$ ; confidence 0.424
  
−
194. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073460/p07346086.png ; $P ^ { \perp } = \cap _ { v \in P } v ^ { \perp } = \emptyset$ ; confidence 0.185
+
194. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240449.png ; $y _ { 1 } , \dots , y _ { j }$ ; confidence 0.424
  
−
195. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013090.png ; $N$ ; confidence 0.183
+
195. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024077.png ; $\int _ { P _ { 1 } } ^ { P _ { 2 } } \omega _ { P _ { 3 } P _ { 4 } } = \int _ { P _ { 3 } } ^ { P _ { 4 } } \omega _ { P _ { 1 } P _ { 2 } }$ ; confidence 0.423
  
−
196. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023530/c023530133.png ; $\Pi ^ { N } \tau$ ; confidence 0.183
+
196. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130100/c13010015.png ; $f = \sum _ { i = 1 } ^ { n } \alpha _ { i } \chi _ { i }$ ; confidence 0.422
  
−
197. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120250/s1202506.png ; $h _ { n } = \int _ { a } ^ { b } x ^ { n } h ( x ) d x$ ; confidence 0.183
+
197. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070240/o07024014.png ; $6 \pi \eta \alpha$ ; confidence 0.422
  
−
198. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001088.png ; $\hat { v } ^ { ( S ) }$ ; confidence 0.182
+
198. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040240.png ; $\varphi _ { L } : A \hookrightarrow P ^ { S }$ ; confidence 0.422
  
−
199. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025970/c02597042.png ; $e ^ { i } ( e _ { j } ) = \delta _ { j } ^ { s }$ ; confidence 0.182
+
199. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110100/b110100377.png ; $\frac { c _ { 1 } } { n } \leq ( | K | | K ^ { \circlearrowright } | ) ^ { 1 / n } \leq \frac { c _ { 2 } } { n }$ ; confidence 0.421
  
−
200. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240282.png ; $\hat { \psi } = \sum _ { i = 1 } ^ { q } d _ { i } z _ { i }$ ; confidence 0.180
+
200. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m130260171.png ; $\overline { \alpha } : P \rightarrow X$ ; confidence 0.421
  
−
201. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043280/g0432804.png ; $\hat { K } _ { i }$ ; confidence 0.180
+
201. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010267.png ; $\hat { \lambda } = \lambda + \epsilon ^ { 1 / m } \lambda _ { 1 } + \epsilon ^ { 2 / m } \lambda _ { 2 } +$ ; confidence 0.420
  
−
202. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043340/g04334048.png ; $\sum _ { \Sigma } ^ { 3 } \square ^ { i \alpha } \neq 0$ ; confidence 0.180
+
202. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539034.png ; $\operatorname { inf } _ { d } \int _ { \Theta } L ( \theta , d ) \frac { p ( x | \theta ) \pi ( \theta ) } { p ( x ) } d \nu ( \theta )$ ; confidence 0.420
  
−
203. 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
+
203. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020064.png ; $T : \mathfrak { A } \rightarrow \mathfrak { A } / \mathfrak { A } _ { 1 }$ ; confidence 0.420
  
−
204. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120460/b12046037.png ; $( \oplus _ { b } G _ { E B } b )$ ; confidence 0.179
+
204. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018018.png ; $Z 1,22$ ; confidence 0.419
  
−
205. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120040/n1200405.png ; $A _ { i \psi }$ ; confidence 0.179
+
205. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016740/b0167404.png ; $\leq \frac { 1 } { N } \langle U _ { 1 } - U _ { 2 } \} _ { U _ { 2 } }$ ; confidence 0.419
  
−
206. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072850/p0728502.png ; $_ { k }$ ; confidence 0.179
+
206. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075700/p075700100.png ; $q ^ { 1 }$ ; confidence 0.419
  
−
207. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030620/d03062019.png ; $\alpha \in C \cup \{ \infty \}$ ; confidence 0.176
+
207. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018063.png ; $S _ { 1 } , \ldots , S _ { k }$ ; confidence 0.418
  
−
208. 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
+
208. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010224.png ; $E _ { i } = x ^ { i } y ^ { i }$ ; confidence 0.418
  
−
209. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013083.png ; $C$ ; confidence 0.175
+
209. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001019.png ; $( C ( S ) , \overline { g } )$ ; confidence 0.418
  
−
210. 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
+
210. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f130290181.png ; $LOC$ ; confidence 0.417
  
−
211. 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
+
211. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013053.png ; $P ^ { ( l ) } = \left( \begin{array} { c c } { - i } & { 0 } \\ { 0 } & { i } \end{array} \right) z + \left( \begin{array} { c c } { 0 } & { q ^ { ( l ) } } \\ { r ^ { ( l ) } } & { 0 } \end{array} \right)$ ; confidence 0.416
  
−
212. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110160/c11016063.png ; $( a b \alpha ) ^ { \alpha } = \alpha ^ { \alpha } b ^ { \alpha } \alpha ^ { \alpha }$ ; confidence 0.173
+
212. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043280/g0432806.png ; $\mathfrak { x } \times x$ ; confidence 0.416
  
−
213. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021470/c02147033.png ; $\tilde { Y } \square _ { j } ^ { ( k ) } \in Y _ { j }$ ; confidence 0.172
+
213. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067280/n06728058.png ; $\pi / \rho$ ; confidence 0.416
  
−
214. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110240/h11024025.png ; $n _ { s } + n _ { u } = n$ ; confidence 0.172
+
214. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040242.png ; $Q \in H ^ { 0 } ( P ^ { 8 } , I _ { A / P ^ { 8 } } ( 2 ) )$ ; confidence 0.415
  
−
215. 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
+
215. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015047.png ; $\operatorname { ad } X$ ; confidence 0.415
  
−
216. 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
+
216. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110520/b11052027.png ; $x \in G _ { n }$ ; confidence 0.415
  
−
217. 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
+
217. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240152.png ; $X \beta$ ; confidence 0.414
  
−
218. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024067.png ; $e _ { j k }$ ; confidence 0.169
+
218. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006029.png ; $B _ { j } \in B$ ; confidence 0.414
  
−
219. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a11068093.png ; $L f \theta$ ; confidence 0.169
+
219. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025180/c02518044.png ; $X _ { X } \in T _ { X } ( M )$ ; confidence 0.414
  
−
220. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a0101805.png ; $\alpha _ { k } , b , z$ ; confidence 0.168
+
220. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110120/p110120247.png ; $A _ { i } = \{ w \in W _ { i } \cap V ^ { s } ( z ) : z \in \Lambda _ { l } \cap U ( x ) \}$ ; confidence 0.414
  
−
221. 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
+
221. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022890/c02289075.png ; $l _ { i } ( P ) \leq l _ { i } < l _ { i } ( P ) + 1$ ; confidence 0.413
  
−
222. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087790/s08779013.png ; $RP ^ { \infty }$ ; confidence 0.165
+
222. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110210/m11021064.png ; $f \in L ^ { p } ( R ^ { n } ) \rightarrow \int _ { R ^ { n } } | x - y | ^ { - \lambda } f ( y ) d y \in L ^ { p ^ { \prime } } ( R ^ { n } )$ ; confidence 0.413
  
−
223. 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
+
223. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130050/o13005095.png ; $v \in G$ ; confidence 0.413
  
−
224. 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
+
224. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120050/w12005030.png ; $D = \langle x ^ { 2 } \} \subset R [ x ]$ ; confidence 0.413
  
−
225. 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
+
225. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110070/a1100708.png ; $\langle \sum _ { k = 1 } ^ { n } \| T x _ { k } \| ^ { p } ) ^ { 1 / p } \leq$ ; confidence 0.412
  
−
226. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002017.png ; $N$ ; confidence 0.161
+
226. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029078.png ; $( X _ { \delta } , \pi X )$ ; confidence 0.412
  
−
227. 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
+
227. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010430/a01043024.png ; $q i$ ; confidence 0.412
  
−
228. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050790/i05079039.png ; $| \alpha _ { 1 } + \ldots + \alpha _ { n } | \leq | \alpha _ { 1 } | + \ldots + | \alpha _ { n } |$ ; confidence 0.160
+
228. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f130100152.png ; $v \in A _ { p } ( G )$ ; confidence 0.412
  
−
229. 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
+
229. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046370/h04637024.png ; $M ( x ) = M _ { f } ( x ) = \operatorname { sup } _ { 0 < k | \leq \pi } \frac { 1 } { t } \int _ { x } ^ { x + t } | f ( u ) | d u$ ; confidence 0.412
  
−
230. 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
+
230. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021030.png ; $A _ { j } = \int _ { a _ { j } } \omega , \quad B _ { j } = \int _ { b _ { j } } \omega , \quad j = 1 , \ldots , g$ ; confidence 0.412
  
−
231. 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
+
231. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040218.png ; $I _ { A / P } ^ { 7 }$ ; confidence 0.411
  
−
232. 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
+
232. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g043810261.png ; $\delta ( x ) = \delta ( x _ { 1 } ) \times \ldots \times \delta ( x _ { N } )$ ; confidence 0.411
  
−
233. 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
+
233. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038470/f03847049.png ; $\tau _ { k + 1 } = t$ ; confidence 0.410
  
−
234. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057590/l05759015.png ; $\sqrt { 2 }$ ; confidence 0.155
+
234. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130080/o13008026.png ; $C _ { \psi }$ ; confidence 0.409
  
−
235. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022690/c02269052.png ; $\Delta = \tilde { A } + \hat { B } - \hat { C }$ ; confidence 0.152
+
235. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120310/b12031064.png ; $\tau ^ { n }$ ; confidence 0.408
  
−
236. 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
+
236. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040120.png ; $( F _ { 1 } . F _ { 2 } ) = d$ ; confidence 0.408
  
−
237. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600198.png ; $N _ { 0 }$ ; confidence 0.151
+
237. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012410/a012410141.png ; $R ^ { n } \subset C ^ { k }$ ; confidence 0.407
  
−
238. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240314.png ; $\hat { \beta } = ( X ^ { \prime } X ) ^ { - 1 } X ^ { \prime } y$ ; confidence 0.148
+
238. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040225.png ; $\hat { K } _ { A }$ ; confidence 0.407
  
−
239. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020061.png ; $H _ { 2 / / } \otimes l _ { 1 } ( A , B )$ ; confidence 0.148
+
239. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020640/c02064012.png ; $\mu = \beta \nu$ ; confidence 0.406
  
−
240. https://www.encyclopediaofmath.org/legacyimages/l/l061/l061130/l06113042.png ; $\| \alpha _ { j } ^ { i } \|$ ; confidence 0.148
+
240. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072850/p072850150.png ; $\Omega _ { X } ( k ) \equiv \Omega ( k )$ ; confidence 0.406
  
−
241. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o13006052.png ; $\overline { \gamma } = \tilde { \gamma } ^ { \prime \prime }$ ; confidence 0.147
+
241. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010213.png ; $\delta \lambda _ { i } \approx \frac { y ^ { i } ^ { * } \delta A x ^ { i } } { y ^ { i ^ { * } } x ^ { i } }$ ; confidence 0.406
  
−
242. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076800/q07680082.png ; $\{ \tau _ { j } ^ { e } \} \in G _ { I }$ ; confidence 0.146
+
242. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043480/g0434807.png ; $\alpha _ { 31 } / \alpha _ { 11 }$ ; confidence 0.405
  
−
243. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010118.png ; $A \in R ^ { m \times n }$ ; confidence 0.144
+
243. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110140/l11014014.png ; $\tilde { y } ( x ) = \operatorname { exp } ( - \epsilon ) f ( x \operatorname { exp } ( - \epsilon ) )$ ; confidence 0.405
  
−
244. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020084.png ; $r$ ; confidence 0.144
+
244. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340135.png ; $\alpha _ { H } ( \tilde { x } _ { + } ) - \alpha _ { H } ( \tilde { x } _ { - } ) = 1$ ; confidence 0.404
  
−
245. 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
+
245. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240452.png ; $P$ ; confidence 0.403
  
−
246. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010164.png ; $\tilde { \varepsilon } [ ( 1 + \eta \tilde { k } ) \alpha + \beta \gamma ]$ ; confidence 0.144
+
246. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020740/c020740324.png ; $( \alpha _ { e } ) _ { é \in E }$ ; confidence 0.403
  
−
247. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g043780134.png ; $F = p t$ ; confidence 0.143
+
247. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025180/c02518096.png ; $T _ { s ( x ) } ( E ) = \Delta _ { s ( x ) } \oplus T _ { s ( x ) } ( F _ { x } )$ ; confidence 0.402
  
−
248. 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
+
248. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002050.png ; $21$ ; confidence 0.401
  
−
249. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001028.png ; $\{ I ^ { 1 } , R ^ { 2 } , \hat { P } \}$ ; confidence 0.143
+
249. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013036.png ; $\partial / \partial x = \partial / \partial t _ { 1 }$ ; confidence 0.401
  
−
250. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830267.png ; $\theta = \Pi _ { i } \partial _ { i } ^ { e _ { i } ^ { e _ { i } } }$ ; confidence 0.142
+
250. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052260/i05226072.png ; $Z \in G$ ; confidence 0.401
  
−
251. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047740/h047740112.png ; $R ) = r . g \operatorname { lowdim } ( R ) = \operatorname { glowdim } ( R )$ ; confidence 0.142
+
251. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040116.png ; $2$ ; confidence 0.401
  
−
252. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240331.png ; $p _ { 1 }$ ; confidence 0.141
+
252. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a0102403.png ; $Z , W$ ; confidence 0.401
  
−
253. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086770/s08677096.png ; $5 + 7 n$ ; confidence 0.141
+
253. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072830/p07283021.png ; $\epsilon _ { i j } ^ { k }$ ; confidence 0.400
  
−
254. 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
+
254. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018031.png ; $A _ { x } = \alpha _ { 1 } + \ldots + \alpha _ { x }$ ; confidence 0.399
  
−
255. 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
+
255. 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
  
−
256. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086330/s08633021.png ; $\sigma _ { d x } ( A )$ ; confidence 0.138
+
256. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010420/a0104209.png ; $\{ X _ { n } \}$ ; confidence 0.398
  
−
257. 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
+
257. 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
  
−
258. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a13001017.png ; $3 + 5$ ; confidence 0.136
+
258. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042079.png ; $25$ ; confidence 0.396
  
−
259. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120090/l12009013.png ; $Q _ { A }$ ; confidence 0.136
+
259. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022033.png ; $5$ ; confidence 0.396
  
−
260. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240289.png ; $\hat { \psi } \pm S \cdot \hat { \sigma } \hat { \psi }$ ; confidence 0.134
+
260. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120500/b12050014.png ; $M _ { t } : = \operatorname { sup } _ { s \leq t } W _ { s }$ ; confidence 0.396
  
−
261. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130120/w13012027.png ; $T _ { W \alpha } = T$ ; confidence 0.134
+
261. 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
  
−
262. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120342.png ; $O \subset A _ { R }$ ; confidence 0.132
+
262. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021070.png ; $P _ { 2 }$ ; confidence 0.396
  
−
263. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059110/l05911037.png ; $p i n$ ; confidence 0.132
+
263. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027180/c02718064.png ; $H ( K )$ ; confidence 0.395
  
−
264. 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
+
264. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030020/d030020144.png ; $\operatorname { gr } D _ { X }$ ; confidence 0.395
  
−
265. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a12031018.png ; $22 ^ { x }$ ; confidence 0.131
+
265. 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
  
−
266. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110110/d11011084.png ; $L \cup O$ ; confidence 0.130
+
266. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012057.png ; $k = 0,1 , \ldots ,$ ; confidence 0.393
  
−
267. 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
+
267. 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
  
−
268. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060640/l0606404.png ; $\operatorname { res } _ { \mathscr { d } } \frac { f ^ { \prime } ( z ) } { f ( z ) }$ ; confidence 0.129
+
268. 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
  
−
269. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001065.png ; $0$ ; confidence 0.129
+
269. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001086.png ; $\| \delta x \| = \| A ^ { - 1 } B ^ { - 1 } B N \| =$ ; confidence 0.390
  
−
270. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064180/m064180110.png ; $\mathfrak { k } _ { n } | _ { 0 } = 0$ ; confidence 0.128
+
270. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001061.png ; $| \delta b | \leq \epsilon | b |$ ; confidence 0.389
  
−
271. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001026.png ; $\xi ^ { \mathscr { L } } = I ^ { \mathscr { L } } ( \partial _ { r } )$ ; confidence 0.127
+
271. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780377.png ; $1 B S G$ ; confidence 0.389
  
−
272. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130040/g130040116.png ; $v \wedge \wedge \ldots \wedge v _ { m }$ ; confidence 0.124
+
272. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240508.png ; $E ( Z _ { 13 } ) = 0$ ; confidence 0.388
  
−
273. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026010/c026010134.png ; $\mathfrak { A } _ { E }$ ; confidence 0.121
+
273. 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
  
−
274. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020188.png ; $t ^ { * } : H ^ { N } ( S ^ { N } ) \rightarrow H ^ { N } ( \Gamma _ { S ^ { n } } )$ ; confidence 0.119
+
274. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006018.png ; $P _ { B }$ ; confidence 0.385
  
−
275. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t130140169.png ; $q _ { A }$ ; confidence 0.118
+
275. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110640/a1106409.png ; $S U N$ ; confidence 0.385
  
−
276. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040397.png ; $\operatorname { Mod } ^ { * } S = \operatorname { Mod } ^ { * } L _ { D }$ ; confidence 0.117
+
276. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130040/t13004015.png ; $( n + 1 ) a _ { n + 1 } + \alpha _ { n } = \tau$ ; confidence 0.385
  
−
277. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032060/d03206068.png ; $| x ( t ( t ) ) \| \leq \rho$ ; confidence 0.117
+
277. 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
  
−
278. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020740/c020740318.png ; $Z [ X _ { é } : e \in E$ ; confidence 0.114
+
278. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110990/b11099015.png ; $P _ { \alpha }$ ; confidence 0.384
  
−
279. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030210/d03021016.png ; $2$ ; confidence 0.110
+
279. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041320/f04132023.png ; $v _ { 0 } ^ { k }$ ; confidence 0.384
  
−
280. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046080/h04608018.png ; $| x _ { \mathfrak { j } } | \leq M$ ; confidence 0.106
+
280. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120280/c1202805.png ; $X *$ ; confidence 0.383
  
−
281. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050850/i05085060.png ; $A < \operatorname { ln } d X$ ; confidence 0.106
+
281. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010020/a0100204.png ; $\{ E _ { n _ { 1 } } \ldots n _ { k } \}$ ; confidence 0.382
  
−
282. 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
+
282. 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
  
−
283. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010080/a0100808.png ; $x _ { 1 } , \ldots , A _ { x _ { 1 } } \ldots x _ { k } , \ldots ,$ ; confidence 0.104
+
283. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050970/i05097047.png ; $F ( M ^ { k } ) \subset \nabla \square ^ { n }$ ; confidence 0.382
  
−
284. 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
+
284. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010222.png ; $E$ ; confidence 0.382
  
−
285. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230115.png ; $E ( L ) = E ^ { d } ( L ) \omega ^ { \alpha } \bigotimes \Delta$ ; confidence 0.101
+
285. 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
  
−
286. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013073.png ; $Q$ ; confidence 0.095
+
286. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025920/c02592019.png ; $631$ ; confidence 0.381
  
−
287. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083460/s08346028.png ; $\operatorname { Ccm } ( G )$ ; confidence 0.094
+
287. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012029.png ; $| \lambda _ { X } | \leq ( n + 1 ) ^ { \alpha - 1 }$ ; confidence 0.381
  
−
288. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150450.png ; $\operatorname { sin } 0$ ; confidence 0.092
+
288. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010330/a01033016.png ; $\beta _ { y }$ ; confidence 0.380
  
−
289. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073760/p0737605.png ; $\omega _ { \mathscr { A } } : X ( G ) \rightarrow T$ ; confidence 0.090
+
289. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021055.png ; $a - 1$ ; confidence 0.380
  
−
290. 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
+
290. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a1301307.png ; $Q$ ; confidence 0.380
  
−
291. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022042.png ; $r _ { e . s s } ( T ) \in \sigma _ { ess } ( T )$ ; confidence 0.088
+
291. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087780/s08778021.png ; $w ^ { \prime }$ ; confidence 0.380
  
−
292. 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
+
292. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020088.png ; $\phi \gamma$ ; confidence 0.380
  
−
293. 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
+
293. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010108.png ; $Sp ( 0 )$ ; confidence 0.378
  
−
294. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024018.png ; $E _ { i }$ ; confidence 0.085
+
294. 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
  
−
295. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047940/h047940319.png ; $\eta : \pi _ { N } \otimes \pi _ { N } \rightarrow \pi _ { N } + 1$ ; confidence 0.085
+
295. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240236.png ; $n - r$ ; confidence 0.377
  
−
296. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074740/p07474069.png ; $q _ { k } R = p _ { j } ^ { n _ { i } } R _ { R }$ ; confidence 0.083
+
296. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015019.png ; $( g )$ ; confidence 0.376
  
−
297. 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
+
297. 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
  
−
298. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d12002092.png ; $V _ { V }$ ; confidence 0.082
+
298. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110120/p110120321.png ; $4 x$ ; confidence 0.375
  
−
299. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027320/c027320130.png ; $C = R _ { k m m } ^ { i } R _ { k } ^ { k k m }$ ; confidence 0.081
+
299. 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
  
−
300. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027000/c0270004.png ; $E _ { e } ^ { t X } 1$ ; confidence 0.078
+
300. 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

Revision as of 10:28, 2 September 2019

List

1. a110010184.png ; $| \hat { \lambda } - \lambda |$ ; confidence 0.488

2. d12002046.png ; $= \operatorname { min } _ { k \in P } c ^ { T } x ^ { ( k ) } + u _ { 1 } ^ { T } ( A _ { 1 } x ^ { ( k ) } - b _ { 1 } )$ ; confidence 0.488

3. d03346022.png ; $\operatorname { ln } F ^ { \prime } ( \zeta _ { 0 } ) | \leq - \operatorname { ln } ( 1 - \frac { 1 } { | \zeta _ { 0 } | ^ { 2 } } )$ ; confidence 0.488

4. a110040146.png ; $i$ ; confidence 0.488

5. m063240749.png ; $\prod x$ ; confidence 0.487

6. s08338085.png ; $d \in C$ ; confidence 0.487

7. w120090342.png ; $\left( \begin{array} { c } { h } \\ { i } \end{array} \right) = \frac { h ( h - 1 ) \ldots ( h - i + 1 ) } { i ! }$ ; confidence 0.487

8. a01021098.png ; $\sum _ { k = 1 } ^ { g } ( A _ { k } B _ { k } ^ { \prime } - B _ { k } A _ { k } ^ { \prime } ) = 2 \pi i \sum _ { j = 1 } ^ { N } c _ { j } \int _ { L _ { j } } \omega _ { 1 }$ ; confidence 0.487

9. a01022054.png ; $\overline { W } ^ { T }$ ; confidence 0.486

10. a110010189.png ; $i = 1 , \dots , n$ ; confidence 0.485

11. a130240308.png ; $\hat { \eta } _ { \Omega } = X \hat { \beta }$ ; confidence 0.485

12. d032450327.png ; $< \operatorname { Gdim } L < 1 +$ ; confidence 0.485

13. g0432802.png ; $x$ ; confidence 0.485

14. a11006049.png ; $\{ X _ { z } : z \in Z ^ { d } \}$ ; confidence 0.485

15. a110010111.png ; $p < m$ ; confidence 0.484

16. d13018075.png ; $A ( \vec { G } )$ ; confidence 0.484

17. t09225012.png ; $g ^ { ( i ) }$ ; confidence 0.484

18. a110010266.png ; $2$ ; confidence 0.484

19. a01024035.png ; $w ^ { 2 } = a _ { 0 } z ^ { 2 } + a _ { 1 } z + \alpha _ { 2 }$ ; confidence 0.484

20. a01012030.png ; $n = 0,1 , \dots$ ; confidence 0.483

21. r08111018.png ; $g 00 = 1 - 2 \phi / c ^ { 2 }$ ; confidence 0.483

22. t0922406.png ; $k = R / m$ ; confidence 0.483

23. a130040374.png ; $F , G \in Fi _ { D } A$ ; confidence 0.483

24. a130240311.png ; $\hat { \eta } _ { i j } = y _ { i j }$ ; confidence 0.483

25. c02237023.png ; $N = L . L$ ; confidence 0.482

26. i05241032.png ; $y = Arc$ ; confidence 0.482

27. a130240123.png ; $i = 1,2 , \dots$ ; confidence 0.482

28. a1100609.png ; $\beta ( A , B ) = \operatorname { E } \operatorname { sup } _ { B \in B } | P ( B | A ) - P ( B ) |$ ; confidence 0.481

29. a130240519.png ; $Z _ { 13 }$ ; confidence 0.481

30. p075560136.png ; $P Q = P \times Q$ ; confidence 0.481

31. s087450204.png ; $\theta _ { T } ^ { * }$ ; confidence 0.481

32. a130240501.png ; $9$ ; confidence 0.481

33. g04301029.png ; $X \times F$ ; confidence 0.480

34. k11013020.png ; $( \alpha _ { i } ) _ { i \in I }$ ; confidence 0.480

35. a130240472.png ; $i = 1 , \ldots , m$ ; confidence 0.480

36. k05591019.png ; $\sum _ { j = 1 } ^ { n } b _ { j } r j \in Z$ ; confidence 0.479

37. p110230174.png ; $F _ { p q } \neq F _ { p q } ^ { * }$ ; confidence 0.479

38. s08533026.png ; $18$ ; confidence 0.479

39. a110010236.png ; $\hat { \lambda }$ ; confidence 0.479

40. a01021066.png ; $\omega 1,2$ ; confidence 0.479

41. a13004074.png ; $5$ ; confidence 0.478

42. a01021054.png ; $a - x \neq 0$ ; confidence 0.478

43. a13024019.png ; $y$ ; confidence 0.478

44. b0161704.png ; $| w | < r _ { 0 }$ ; confidence 0.478

45. u09544022.png ; $O ( \epsilon _ { N } )$ ; confidence 0.478

46. a01022038.png ; $A l ( z )$ ; confidence 0.477

47. a01033021.png ; $\beta \frac { 1 } { r } / r$ ; confidence 0.477

48. a11064014.png ; $\Omega$ ; confidence 0.477

49. a13013032.png ; $\phi$ ; confidence 0.476

50. c02204098.png ; $\Omega _ { 2 n } ^ { 2 } \rightarrow Z$ ; confidence 0.476

51. g043020155.png ; $V \oplus \mathfrak { g }$ ; confidence 0.476

52. s12005011.png ; $S _ { B B } ( z ) \equiv 0$ ; confidence 0.476

53. a110040144.png ; $R \subset P ^ { 2 }$ ; confidence 0.476

54. a130240305.png ; $4$ ; confidence 0.475

55. a0100803.png ; $x$ ; confidence 0.475

56. k12003033.png ; $E \neq \emptyset$ ; confidence 0.475

57. a0104201.png ; $X _ { 1 } , \ldots , X _ { n }$ ; confidence 0.474

58. a130240470.png ; $n$ ; confidence 0.474

59. a13013048.png ; $i$ ; confidence 0.474

60. b01738068.png ; $t \in S$ ; confidence 0.474

61. c02648015.png ; $\prod _ { i \in l } ^ { * } A _ { i }$ ; confidence 0.474

62. l059160231.png ; $\lambda \geq \gamma$ ; confidence 0.474

63. a130240499.png ; $X _ { 4 } = ( 0,1 ) ^ { \prime }$ ; confidence 0.474

64. a130240343.png ; $2$ ; confidence 0.473

65. k1100801.png ; $W _ { C }$ ; confidence 0.473

66. l059350157.png ; $x ( 0 ) \in R ^ { n }$ ; confidence 0.473

67. m064000100.png ; $\| u \| _ { H ^ { \prime } } \leq R$ ; confidence 0.473

68. a01018026.png ; $\lambda _ { x } = n$ ; confidence 0.473

69. a130060150.png ; $P _ { V } ^ { \# } ( n )$ ; confidence 0.472

70. l12016033.png ; $( S ^ { 1 } )$ ; confidence 0.472

71. a01021032.png ; $A _ { 1 } ^ { \prime } , B _ { 1 } ^ { \prime } , \dots , A ^ { \prime } , B _ { g } ^ { \prime }$ ; confidence 0.471

72. s09101020.png ; $c = \operatorname { const } \neq 0$ ; confidence 0.470

73. t09367092.png ; $d s _ { é } = \frac { | d z | } { 1 + | z | ^ { 2 } }$ ; confidence 0.470

74. h11025012.png ; $T ^ { \aleph } x \in A$ ; confidence 0.469

75. a01021040.png ; $i \neq i$ ; confidence 0.468

76. a110010249.png ; $( A + \delta A ) \hat { x } = \hat { \lambda } \hat { x }$ ; confidence 0.467

77. a01419058.png ; $\phi ( t ) \equiv$ ; confidence 0.467

78. b13020073.png ; $9 -$ ; confidence 0.467

79. c027180181.png ; $E _ { x } ( s )$ ; confidence 0.467

80. o06837017.png ; $( \alpha b ) \sigma = \alpha \sigma b \sigma$ ; confidence 0.467

81. a110010109.png ; $B N = \operatorname { max } _ { 1 \leq i \leq x } | b _ { i } |$ ; confidence 0.467

82. b01738057.png ; $L u = \frac { \partial ^ { 2 } u } { \partial x ^ { 2 } } - \frac { \partial u } { \partial t } = 0$ ; confidence 0.466

83. u09529039.png ; $t \rightarrow t + w z$ ; confidence 0.466

84. g043020169.png ; $H \mapsto C _ { A } ^ { \prime }$ ; confidence 0.465

85. a13001015.png ; $S ^ { * } = S$ ; confidence 0.463

86. r0824503.png ; $( a + b ) \alpha = \alpha \alpha + b \alpha$ ; confidence 0.463

87. w09771010.png ; $Z _ { \zeta } ( T )$ ; confidence 0.463

88. a13013017.png ; $P$ ; confidence 0.462

89. b11059067.png ; $u = q ( x ) \text { on } g$ ; confidence 0.462

90. c024850182.png ; $m = p _ { 1 } ^ { \alpha _ { 1 } } \ldots p _ { s } ^ { \alpha _ { S } }$ ; confidence 0.462

91. i051970120.png ; $\omega _ { n - 1 } ( z ) = ( z - b _ { 0 } ) \ldots ( z - b _ { n } - 1 )$ ; confidence 0.462

92. a110040249.png ; $H _ { k } + 1 , \ldots , H _ { k } + m$ ; confidence 0.462

93. d03207031.png ; $2 \pi \alpha$ ; confidence 0.461

94. l057780185.png ; $\alpha _ { 2 } ( t ) = t$ ; confidence 0.461

95. l059490155.png ; $| \epsilon | < \epsilon$ ; confidence 0.461

96. a0102008.png ; $\square _ { R } \Omega$ ; confidence 0.460

97. p07101037.png ; $p _ { i }$ ; confidence 0.459

98. y11001031.png ; $H _ { 1 } \subset L _ { N }$ ; confidence 0.459

99. a01021081.png ; $\omega ; 0$ ; confidence 0.458

100. a13013010.png ; $t = ( t _ { x } )$ ; confidence 0.458

101. a13024029.png ; $1$ ; confidence 0.458

102. p075660284.png ; $A : H ^ { S } ( X ) \rightarrow H ^ { S - m } ( X )$ ; confidence 0.458

103. a01431093.png ; $A ( \iota X A ( x ) )$ ; confidence 0.456

104. p07453019.png ; $\phi ( n ) = n ( 1 - \frac { 1 } { p _ { 1 } } ) \dots ( 1 - \frac { 1 } { p _ { k } } )$ ; confidence 0.456

105. a01024034.png ; $w ^ { 2 } = a 0 z + a 1$ ; confidence 0.455

106. a120050110.png ; $M$ ; confidence 0.455

107. i0524504.png ; $b = f ( a ) = b _ { 0 }$ ; confidence 0.455

108. l12003069.png ; $T _ { F }$ ; confidence 0.455

109. a11002060.png ; $( q ^ { d + 1 } ( 1 + \frac { q ^ { d + 1 } - 1 } { q ^ { - 1 } } ) , q ^ { d } \cdot \frac { q ^ { d + 1 } - 1 } { q ^ { - 1 } } , q ^ { d } \cdot \frac { q ^ { d } - 1 } { q ^ { - 1 } } )$ ; confidence 0.455

110. a01012047.png ; $W _ { 1 }$ ; confidence 0.455

111. a11004025.png ; $L$ ; confidence 0.453

112. a01021026.png ; $A _ { 1 } , B _ { 1 } , \dots , A , B _ { g }$ ; confidence 0.453

113. a110010204.png ; $I - ( \tilde { \lambda } I - A ) ^ { - 1 } \delta A$ ; confidence 0.452

114. e03517077.png ; $\overline { U _ { n } \in N A _ { n } ( B ) }$ ; confidence 0.452

115. a110010197.png ; $1 \leq \| T ( \hat { \lambda } I - \Lambda ) ^ { - 1 } T ^ { - 1 } \delta A \| \leq$ ; confidence 0.451

116. b01733030.png ; $f ( e ^ { i \theta } ) = \operatorname { lim } _ { r \rightarrow 1 - 0 } f ( r e ^ { i \theta } )$ ; confidence 0.451

117. a01012064.png ; $n = 0,1 , \dots$ ; confidence 0.450

118. a110420133.png ; $i$ ; confidence 0.450

119. a01294080.png ; $F _ { b }$ ; confidence 0.450

120. s08521029.png ; $q ^ { l } ( q ^ { 2 } - 1 ) \dots ( q ^ { 2 l } - 1 ) / d$ ; confidence 0.450

121. c0251306.png ; $f _ { i } : D ^ { n } \rightarrow M _ { i }$ ; confidence 0.449

122. o130060187.png ; $( \sigma _ { 2 } \frac { \partial } { \partial t _ { 1 } } - \sigma _ { 1 } \frac { \partial } { \partial t _ { 2 } } + \gamma ) u = 0$ ; confidence 0.449

123. a01012054.png ; $\frac { \operatorname { lim } } { k \rightarrow \infty } \frac { n _ { k } } { | \lambda _ { k } | } = 0$ ; confidence 0.447

124. c12031028.png ; $| \alpha | = \sum _ { l = 1 } ^ { d ^ { 2 } } \alpha _ { l }$ ; confidence 0.447

125. h04754045.png ; $\Omega \frac { p } { x }$ ; confidence 0.447

126. s0908209.png ; $X ^ { * }$ ; confidence 0.447

127. t120010136.png ; $p = ( p _ { 1 } , \dots , p _ { n } + 2 )$ ; confidence 0.447

128. a11004017.png ; $\phi _ { L }$ ; confidence 0.446

129. a110040246.png ; $C ^ { M }$ ; confidence 0.446

130. a130240539.png ; $T _ { 1 }$ ; confidence 0.446

131. a11001062.png ; $i$ ; confidence 0.446

132. b017330242.png ; $f ^ { * } ( z ) = \operatorname { lim } _ { r \rightarrow 1 - 0 } f ( r z )$ ; confidence 0.445

133. c120180501.png ; $g \in S ^ { 2 } \varepsilon$ ; confidence 0.445

134. f04021064.png ; $\phi ( \mathfrak { A } )$ ; confidence 0.445

135. s086490118.png ; $d ^ { \prime }$ ; confidence 0.445

136. c02700011.png ; $\frac { F _ { n } ( - x ) } { \Phi ( - x ) } = \operatorname { exp } \{ - \frac { x ^ { 3 } } { \sqrt { n } } \lambda ( - \frac { x } { \sqrt { n } } ) \} [ 1 + O ( \frac { x } { \sqrt { n } } ) ]$ ; confidence 0.444

137. a110040214.png ; $K _ { A }$ ; confidence 0.444

138. a130240229.png ; $\zeta _ { q } + 1 , \dots , \zeta _ { r }$ ; confidence 0.443

139. b13020023.png ; $\alpha _ { i } \in R$ ; confidence 0.443

140. c020540105.png ; $s _ { m } = r - s - \operatorname { rank } M _ { m } - 1$ ; confidence 0.443

141. c022780129.png ; $\Omega _ { f r } ^ { i }$ ; confidence 0.443

142. c02518080.png ; $f _ { x } ^ { - 1 }$ ; confidence 0.443

143. q07631095.png ; $\left( \begin{array} { l } { n } \\ { k } \end{array} \right) _ { q } = \frac { ( q ^ { n } - 1 ) \ldots ( q ^ { n - k + 1 } - 1 ) } { ( q ^ { k } - 1 ) \ldots ( q - 1 ) }$ ; confidence 0.443

144. a13029066.png ; $Y$ ; confidence 0.441

145. a130040746.png ; $P \cup R$ ; confidence 0.441

146. a11004095.png ; $d > 1$ ; confidence 0.441

147. a11001037.png ; $\| \delta b \| \leq \epsilon \| b \|$ ; confidence 0.440

148. r08256041.png ; $300$ ; confidence 0.440

149. s085580244.png ; $M = \frac { a } { a ^ { 2 } - b ^ { 2 } } I - \frac { b } { a ^ { 2 } - b ^ { 2 } } S$ ; confidence 0.440

150. t13015070.png ; $C ^ { * } E ( S ) \otimes _ { \delta } C _ { 0 } ( S )$ ; confidence 0.440

151. a130040671.png ; $\{ X , v \}$ ; confidence 0.439

152. a01022081.png ; $\alpha _ { j k } = \alpha _ { k l }$ ; confidence 0.439

153. a1300205.png ; $X \subset R ^ { n }$ ; confidence 0.439

154. a01021057.png ; $( \frac { a - x } { z ^ { x } } + \ldots + \frac { a - 2 } { z ^ { 2 } } + f ( z ) ) d z$ ; confidence 0.439

155. a01022051.png ; $U W ^ { T } = 0$ ; confidence 0.439

156. a010210107.png ; $k , b + k$ ; confidence 0.439

157. a130040344.png ; $F \in Fi _ { D } A$ ; confidence 0.438

158. a12015069.png ; $\mathfrak { a } / W$ ; confidence 0.438

159. f13010016.png ; $u \in C ^ { G }$ ; confidence 0.438

160. w0973509.png ; $A = N \oplus S _ { 1 }$ ; confidence 0.438

161. a110680195.png ; $b _ { i } = \alpha _ { i } \alpha _ { 1 }$ ; confidence 0.437

162. c02162068.png ; $\pi _ { \mathscr { q } } ( F )$ ; confidence 0.437

163. f04203082.png ; $T _ { \rightarrow } V ^ { - 1 } T V$ ; confidence 0.437

164. a11001094.png ; $\overline { X } \rightarrow X$ ; confidence 0.437

165. a13024030.png ; $n \times p$ ; confidence 0.435

166. d11008067.png ; $= d ( w ^ { H _ { i } } | v ^ { H _ { i } } ) \cdot e ( w ^ { H _ { i } } | v ^ { H _ { i } } ) . f ( w ^ { H _ { i } } | v ^ { H _ { i } } )$ ; confidence 0.435

167. h1100503.png ; $\alpha _ { 1 } \ldots \alpha _ { m }$ ; confidence 0.435

168. a0102208.png ; $w _ { \nu } = ( \omega _ { 1 } \nu , \ldots , \omega _ { p } \nu ) , \quad \nu = 1 , \ldots , 2 p$ ; confidence 0.435

169. a13013098.png ; $\pi$ ; confidence 0.434

170. i13009013.png ; $k = k _ { 0 } \subset k _ { 1 } \subset \ldots \subset k _ { n } \subset \ldots \subset K = \cup _ { n \geq 0 } k _ { k }$ ; confidence 0.434

171. a01018040.png ; $s = s 1$ ; confidence 0.434

172. a0101204.png ; $\{ A _ { N } \}$ ; confidence 0.433

173. a01029080.png ; $\pi x : X _ { \delta } \rightarrow X$ ; confidence 0.433

174. b0176209.png ; $P _ { C } ^ { 1 }$ ; confidence 0.433

175. q12003027.png ; $X ( Y . f ) = ( Y X ) . f$ ; confidence 0.433

176. p072850130.png ; $X \subset M ^ { n }$ ; confidence 0.432

177. p0738407.png ; $A \supset B$ ; confidence 0.432

178. r07737019.png ; $P \{ Z _ { n } < x \} - \Phi ( x ) = O ( \frac { 1 } { n } )$ ; confidence 0.432

179. a12022026.png ; $L ^ { Y } ( X , Y )$ ; confidence 0.431

180. a1202206.png ; $\varepsilon \in X$ ; confidence 0.430

181. e0358008.png ; $\nu ( n ) = \alpha$ ; confidence 0.430

182. r08256016.png ; $1$ ; confidence 0.430

183. a13013025.png ; $C ^ { \infty } ( s ^ { 1 } , SL _ { 2 } ( C ) )$ ; confidence 0.430

184. d03353095.png ; $\psi ( x ) = x - \sum _ { | \gamma | \leq T } \frac { x ^ { \rho } } { \rho } + O ( \frac { X } { T } \operatorname { log } ^ { 2 } x T + \operatorname { log } 2 x )$ ; confidence 0.429

185. a11004090.png ; $d > 5$ ; confidence 0.427

186. b110130207.png ; $\left( \begin{array} { c } { y - p } \\ { \vdots } \\ { y - 1 } \\ { y _ { 0 } } \end{array} \right) = \Gamma ^ { - 1 } \left( \begin{array} { c } { 0 } \\ { \vdots } \\ { 0 } \\ { 1 } \end{array} \right)$ ; confidence 0.427

187. a0102405.png ; $\alpha ; ( z )$ ; confidence 0.427

188. w09745010.png ; $= \frac { 1 } { z ^ { 2 } } + c 2 z ^ { 2 } + c _ { 4 } z ^ { 4 } + \ldots$ ; confidence 0.426

189. a01084029.png ; $l \mapsto ( . l )$ ; confidence 0.425

190. a12023068.png ; $c _ { q }$ ; confidence 0.425

191. s09120056.png ; $\operatorname { psq } ( n ) = \operatorname { sq } ( n ) / \{ c E : c \in C \}$ ; confidence 0.425

192. a01233050.png ; $x <$ ; confidence 0.424

193. c024850206.png ; $f ^ { \prime } ( x _ { 1 } ) \equiv 0$ ; confidence 0.424

194. a130240449.png ; $y _ { 1 } , \dots , y _ { j }$ ; confidence 0.424

195. a01024077.png ; $\int _ { P _ { 1 } } ^ { P _ { 2 } } \omega _ { P _ { 3 } P _ { 4 } } = \int _ { P _ { 3 } } ^ { P _ { 4 } } \omega _ { P _ { 1 } P _ { 2 } }$ ; confidence 0.423

196. c13010015.png ; $f = \sum _ { i = 1 } ^ { n } \alpha _ { i } \chi _ { i }$ ; confidence 0.422

197. o07024014.png ; $6 \pi \eta \alpha$ ; confidence 0.422

198. a110040240.png ; $\varphi _ { L } : A \hookrightarrow P ^ { S }$ ; confidence 0.422

199. b110100377.png ; $\frac { c _ { 1 } } { n } \leq ( | K | | K ^ { \circlearrowright } | ) ^ { 1 / n } \leq \frac { c _ { 2 } } { n }$ ; confidence 0.421

200. m130260171.png ; $\overline { \alpha } : P \rightarrow X$ ; confidence 0.421

201. a110010267.png ; $\hat { \lambda } = \lambda + \epsilon ^ { 1 / m } \lambda _ { 1 } + \epsilon ^ { 2 / m } \lambda _ { 2 } +$ ; confidence 0.420

202. b01539034.png ; $\operatorname { inf } _ { d } \int _ { \Theta } L ( \theta , d ) \frac { p ( x | \theta ) \pi ( \theta ) } { p ( x ) } d \nu ( \theta )$ ; confidence 0.420

203. a01020064.png ; $T : \mathfrak { A } \rightarrow \mathfrak { A } / \mathfrak { A } _ { 1 }$ ; confidence 0.420

204. a01018018.png ; $Z 1,22$ ; confidence 0.419

205. b0167404.png ; $\leq \frac { 1 } { N } \langle U _ { 1 } - U _ { 2 } \} _ { U _ { 2 } }$ ; confidence 0.419

206. p075700100.png ; $q ^ { 1 }$ ; confidence 0.419

207. a01018063.png ; $S _ { 1 } , \ldots , S _ { k }$ ; confidence 0.418

208. a110010224.png ; $E _ { i } = x ^ { i } y ^ { i }$ ; confidence 0.418

209. t12001019.png ; $( C ( S ) , \overline { g } )$ ; confidence 0.418

210. f130290181.png ; $LOC$ ; confidence 0.417

211. a13013053.png ; $P ^ { ( l ) } = \left( \begin{array} { c c } { - i } & { 0 } \\ { 0 } & { i } \end{array} \right) z + \left( \begin{array} { c c } { 0 } & { q ^ { ( l ) } } \\ { r ^ { ( l ) } } & { 0 } \end{array} \right)$ ; confidence 0.416

212. g0432806.png ; $\mathfrak { x } \times x$ ; confidence 0.416

213. n06728058.png ; $\pi / \rho$ ; confidence 0.416

214. a110040242.png ; $Q \in H ^ { 0 } ( P ^ { 8 } , I _ { A / P ^ { 8 } } ( 2 ) )$ ; confidence 0.415

215. a12015047.png ; $\operatorname { ad } X$ ; confidence 0.415

216. b11052027.png ; $x \in G _ { n }$ ; confidence 0.415

217. a130240152.png ; $X \beta$ ; confidence 0.414

218. a11006029.png ; $B _ { j } \in B$ ; confidence 0.414

219. c02518044.png ; $X _ { X } \in T _ { X } ( M )$ ; confidence 0.414

220. p110120247.png ; $A _ { i } = \{ w \in W _ { i } \cap V ^ { s } ( z ) : z \in \Lambda _ { l } \cap U ( x ) \}$ ; confidence 0.414

221. c02289075.png ; $l _ { i } ( P ) \leq l _ { i } < l _ { i } ( P ) + 1$ ; confidence 0.413

222. m11021064.png ; $f \in L ^ { p } ( R ^ { n } ) \rightarrow \int _ { R ^ { n } } | x - y | ^ { - \lambda } f ( y ) d y \in L ^ { p ^ { \prime } } ( R ^ { n } )$ ; confidence 0.413

223. o13005095.png ; $v \in G$ ; confidence 0.413

224. w12005030.png ; $D = \langle x ^ { 2 } \} \subset R [ x ]$ ; confidence 0.413

225. a1100708.png ; $\langle \sum _ { k = 1 } ^ { n } \| T x _ { k } \| ^ { p } ) ^ { 1 / p } \leq$ ; confidence 0.412

226. a01029078.png ; $( X _ { \delta } , \pi X )$ ; confidence 0.412

227. a01043024.png ; $q i$ ; confidence 0.412

228. f130100152.png ; $v \in A _ { p } ( G )$ ; confidence 0.412

229. h04637024.png ; $M ( x ) = M _ { f } ( x ) = \operatorname { sup } _ { 0 < k | \leq \pi } \frac { 1 } { t } \int _ { x } ^ { x + t } | f ( u ) | d u$ ; confidence 0.412

230. a01021030.png ; $A _ { j } = \int _ { a _ { j } } \omega , \quad B _ { j } = \int _ { b _ { j } } \omega , \quad j = 1 , \ldots , g$ ; confidence 0.412

231. a110040218.png ; $I _ { A / P } ^ { 7 }$ ; confidence 0.411

232. g043810261.png ; $\delta ( x ) = \delta ( x _ { 1 } ) \times \ldots \times \delta ( x _ { N } )$ ; confidence 0.411

233. f03847049.png ; $\tau _ { k + 1 } = t$ ; confidence 0.410

234. o13008026.png ; $C _ { \psi }$ ; confidence 0.409

235. b12031064.png ; $\tau ^ { n }$ ; confidence 0.408

236. a110040120.png ; $( F _ { 1 } . F _ { 2 } ) = d$ ; confidence 0.408

237. a012410141.png ; $R ^ { n } \subset C ^ { k }$ ; confidence 0.407

238. a110040225.png ; $\hat { K } _ { A }$ ; confidence 0.407

239. c02064012.png ; $\mu = \beta \nu$ ; confidence 0.406

240. p072850150.png ; $\Omega _ { X } ( k ) \equiv \Omega ( k )$ ; confidence 0.406

241. a110010213.png ; $\delta \lambda _ { i } \approx \frac { y ^ { i } ^ { * } \delta A x ^ { i } } { y ^ { i ^ { * } } x ^ { i } }$ ; confidence 0.406

242. g0434807.png ; $\alpha _ { 31 } / \alpha _ { 11 }$ ; confidence 0.405

243. l11014014.png ; $\tilde { y } ( x ) = \operatorname { exp } ( - \epsilon ) f ( x \operatorname { exp } ( - \epsilon ) )$ ; confidence 0.405

244. s120340135.png ; $\alpha _ { H } ( \tilde { x } _ { + } ) - \alpha _ { H } ( \tilde { x } _ { - } ) = 1$ ; confidence 0.404

245. a130240452.png ; $P$ ; confidence 0.403

246. c020740324.png ; $( \alpha _ { e } ) _ { é \in E }$ ; confidence 0.403

247. c02518096.png ; $T _ { s ( x ) } ( E ) = \Delta _ { s ( x ) } \oplus T _ { s ( x ) } ( F _ { x } )$ ; confidence 0.402

248. a11002050.png ; $21$ ; confidence 0.401

249. a13013036.png ; $\partial / \partial x = \partial / \partial t _ { 1 }$ ; confidence 0.401

250. i05226072.png ; $Z \in G$ ; confidence 0.401

251. a130040116.png ; $2$ ; confidence 0.401

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

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

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

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

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

257. 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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

282. 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

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

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

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

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

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

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

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

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

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

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

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

294. 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

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

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

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

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

299. 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

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

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/12. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/12&oldid=43887
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