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(AUTOMATIC EDIT of page 8 out of 11 with 300 lines: Updated image/latex database (currently 3083 images latexified; order by Confidence, ascending: False.)
(AUTOMATIC EDIT of page 8 out of 13 with 300 lines: Updated image/latex database (currently 3630 images latexified; order by Confidence, ascending: False.)
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== List ==
 
== List ==
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1. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096450/v09645016.png ; $+ \frac { 1 } { N ! } \int _ { t _ { 0 } } ^ { t } ( t - \tau ) ^ { N _ { r } ( N + 1 ) } ( \tau ) d \tau$ ; confidence 0.696
+
1. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047930/h047930299.png ; $Z / p$ ; confidence 0.808
  
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2. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001020.png ; $\operatorname { Sp } ( ( m + 1 ) / 4 )$ ; confidence 0.694
+
2. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087280/s087280193.png ; $m = E X ( s )$ ; confidence 0.808
  
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3. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055070/k05507045.png ; $g = \sum g _ { \alpha \overline { \beta } } d z ^ { \alpha } \otimes d z \square ^ { \beta }$ ; confidence 0.694
+
3. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110040/r11004022.png ; $k ^ { 2 } = k _ { c } ^ { 2 } + \frac { 3 } { 8 } \frac { \rho 2 g } { T \lambda _ { 0 } ^ { 2 } } ( 1 - \frac { \rho _ { 1 } } { \rho _ { 2 } } ) \epsilon ^ { 2 } + O ( \epsilon ^ { 3 } )$ ; confidence 0.807
  
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4. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539043.png ; $L _ { i j } = L = ( \theta _ { i } , d _ { j } )$ ; confidence 0.694
+
4. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081430/r08143031.png ; $E / E ^ { \prime }$ ; confidence 0.807
  
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5. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010135.png ; $S ( p )$ ; confidence 0.693
+
5. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024027.png ; $Y = X B + E$ ; confidence 0.807
  
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6. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013250/a01325016.png ; $\operatorname { Arg } f$ ; confidence 0.692
+
6. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066490/n06649018.png ; $f ^ { - 1 } ( \alpha ) \cap \{ z : | z | \leq t \}$ ; confidence 0.806
  
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7. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015660/b01566078.png ; $/ N = T$ ; confidence 0.692
+
7. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680200.png ; $r$ ; confidence 0.805
  
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8. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044410/g0444106.png ; $\alpha \equiv f ( x _ { 0 } - ) \leq f ( x _ { 0 } + ) \equiv b$ ; confidence 0.692
+
8. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014140/a014140121.png ; $\sigma ( 1 ) = s$ ; confidence 0.805
  
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9. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064430/m064430169.png ; $GL _ { 2 } ( R )$ ; confidence 0.691
+
9. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130080/d130080108.png ; $F \in Hol ( D )$ ; confidence 0.805
  
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10. https://www.encyclopediaofmath.org/legacyimages/s/s110/s110240/s11024022.png ; $\lambda _ { m } ( t )$ ; confidence 0.691
+
10. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076800/q07680012.png ; $T ^ { S }$ ; confidence 0.805
  
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11. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082040/r08204062.png ; $b \in \overline { C }$ ; confidence 0.690
+
11. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076860/q07686069.png ; $f _ { X } : V _ { X } \rightarrow V _ { X } ^ { \prime }$ ; confidence 0.805
  
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12. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012049.png ; $x ^ { \prime } > x$ ; confidence 0.689
+
12. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110150/r11015028.png ; $M \dot { y } = f ( y )$ ; confidence 0.805
  
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13. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110660/a11066057.png ; $1 ^ { 1 } = 1 ^ { 1 } ( N )$ ; confidence 0.689
+
13. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013016.png ; $8$ ; confidence 0.804
  
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14. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023380/c02338044.png ; $x 0$ ; confidence 0.689
+
14. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030280/d0302808.png ; $\tau _ { n } ( t ) = \frac { 1 } { 2 \pi } \frac { 2 ^ { 2 n } ( n ! ) ^ { 2 } } { ( 2 n ) ! } \operatorname { cos } ^ { 2 n } \frac { t } { 2 }$ ; confidence 0.804
  
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15. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i130090155.png ; $\overline { Q } _ { p }$ ; confidence 0.689
+
15. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001089.png ; $| I - B A \| < 1$ ; confidence 0.804
  
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16. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046460/h04646046.png ; $p + q \leq \operatorname { dim } _ { C } M$ ; confidence 0.688
+
16. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021040/c02104057.png ; $- u _ { 3 }$ ; confidence 0.803
  
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17. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093230/t09323048.png ; $H \rightarrow TOP$ ; confidence 0.688
+
17. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036770/e03677058.png ; $P ^ { \prime } ( C )$ ; confidence 0.802
  
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18. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025440/c0254401.png ; $\int _ { \alpha } ^ { b } p ( t ) \operatorname { ln } | t - t _ { 0 } | d t = f ( t _ { 0 } ) + C$ ; confidence 0.687
+
18. https://www.encyclopediaofmath.org/legacyimages/l/l061/l061160/l061160114.png ; $x _ { 0 } ( . ) : t _ { 0 } + R ^ { + } \rightarrow U$ ; confidence 0.802
  
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19. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025600/c02560048.png ; $u ^ { k } = u ^ { k - 1 } - \Delta \lambda _ { k } \phi ^ { \prime } ( u ^ { k - 1 } ) ^ { - 1 } \phi ( u ^ { 0 } )$ ; confidence 0.687
+
19. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072670/p07267050.png ; $f ^ { \prime } ( O _ { X ^ { \prime } } ) = O _ { S ^ { \prime } }$ ; confidence 0.802
  
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20. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040580/f04058030.png ; $| X$ ; confidence 0.687
+
20. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076040/q07604075.png ; $\operatorname { arg } \operatorname { lim } _ { q \rightarrow r } Q _ { z } ( z ( q ) ) z ( q ) ^ { 2 }$ ; confidence 0.802
  
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21. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076080/q076080314.png ; $\mathfrak { F } \subset \mathfrak { P }$ ; confidence 0.687
+
21. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076800/q07680048.png ; $\leq \nu _ { i } ^ { s }$ ; confidence 0.802
  
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22. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044410/g0444109.png ; $A < \alpha < b < B$ ; confidence 0.686
+
22. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l120120208.png ; $G ( K _ { p ^ { \prime } } )$ ; confidence 0.801
  
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23. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020036.png ; $[ e _ { i } f _ { j } ] = h _ { i }$ ; confidence 0.684
+
23. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072530/p072530183.png ; $I ( G _ { p } )$ ; confidence 0.801
  
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24. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420127.png ; $D$ ; confidence 0.683
+
24. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010270.png ; $\operatorname { min } _ { i } | \hat { \lambda } - \lambda _ { i } | \leq \operatorname { max } \{ r \psi , r ^ { 1 / r } \psi ^ { 1 / r } \}$ ; confidence 0.800
  
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25. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120080/i12008047.png ; $m s$ ; confidence 0.683
+
25. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020160/c02016022.png ; $K _ { X } K _ { X }$ ; confidence 0.800
  
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26. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120040/k12004019.png ; $\overline { 9 } _ { 42 }$ ; confidence 0.683
+
26. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780429.png ; $\phi ^ { h } ( pt )$ ; confidence 0.800
  
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27. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090590/s0905905.png ; $J ( y ) \leq J ( y )$ ; confidence 0.683
+
27. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038380/f03838022.png ; $C _ { 0 }$ ; confidence 0.800
  
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28. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023072.png ; $E ^ { \alpha } ( L ) ( \sigma ^ { 2 } ( x ) ) = 0$ ; confidence 0.682
+
28. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087820/s087820182.png ; $\| y \| = \operatorname { max } _ { i } | y _ { i } |$ ; confidence 0.800
  
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29. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120040/s12004016.png ; $| \lambda | = \Sigma _ { i } \lambda$ ; confidence 0.682
+
29. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010114.png ; $\operatorname { im } ( S ) = 7$ ; confidence 0.799
  
−
30. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047440/h04744011.png ; $\lambda _ { 4 n }$ ; confidence 0.681
+
30. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026010/c02601042.png ; $N = N _ { 0 }$ ; confidence 0.799
  
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31. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057780/l057780230.png ; $E Y _ { i } = ( \alpha + \beta \overline { t } ) + \beta ( t _ { i } - \overline { t } )$ ; confidence 0.681
+
31. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058360/l058360142.png ; $P _ { 8 }$ ; confidence 0.799
  
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32. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059140/l05914024.png ; $\nabla _ { Y } ( f X ) = ( Y f ) X + f \nabla _ { Y } X$ ; confidence 0.681
+
32. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067310/n06731043.png ; $B O$ ; confidence 0.799
  
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33. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240397.png ; $M _ { E }$ ; confidence 0.680
+
33. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097450/w09745039.png ; $j = g ^ { 3 } / g ^ { 2 }$ ; confidence 0.799
  
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34. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120100/l12010023.png ; $\approx ( 2 \pi ) ^ { - n } \int _ { R ^ { n } \times R ^ { n } } [ p ^ { 2 } + V ( x ) ] _ { - } ^ { \gamma } d p d x =$ ; confidence 0.680
+
34. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001039.png ; $\Phi ^ { \alpha } ( Y ) = \nabla _ { Y } \xi ^ { \alpha }$ ; confidence 0.798
  
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35. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074150/p07415079.png ; $\underline { \mathfrak { U } } \square _ { \phi } = - \overline { \mathfrak { U } } _ { \phi }$ ; confidence 0.680
+
35. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021610/c02161069.png ; $\alpha _ { \nu } ( x ) \rightarrow b _ { \nu } ( x ^ { \prime } )$ ; confidence 0.798
  
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36. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013030/a01303027.png ; $\operatorname { sup } _ { x \in \mathfrak { M } } \| x - A x \|$ ; confidence 0.679
+
36. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003022.png ; $w \mapsto ( w ^ { * } \varphi _ { \lambda } ) _ { \lambda \in \Lambda }$ ; confidence 0.798
  
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37. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031420/d0314205.png ; $k [ ( T _ { i j } ) _ { 1 \leq i \leq d } ]$ ; confidence 0.679
+
37. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046300/h04630075.png ; $M _ { 0 } \times I$ ; confidence 0.798
  
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38. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048330/h04833042.png ; $W _ { X } ^ { S }$ ; confidence 0.678
+
38. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012970/a012970176.png ; $d _ { 2 n - 1 } = d _ { 2 n }$ ; confidence 0.797
  
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39. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086720/s08672038.png ; $\pi = n \sqrt { 1 + \sum p ^ { 2 } }$ ; confidence 0.678
+
39. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020048.png ; $\alpha _ { i j } \neq 0$ ; confidence 0.797
  
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40. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022800/c022800161.png ; $\partial N$ ; confidence 0.677
+
40. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032490/d03249026.png ; $G$ ; confidence 0.797
  
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41. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072890/p07289041.png ; $p _ { 01 } p _ { 23 } + p _ { 02 } p _ { 31 } + p _ { 03 } p _ { 12 } = 0$ ; confidence 0.676
+
41. https://www.encyclopediaofmath.org/legacyimages/y/y110/y110010/y11001038.png ; $\| \phi _ { q } \| _ { q } = 1$ ; confidence 0.797
  
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42. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130360/s13036039.png ; $\int _ { 0 } ^ { t } I _ { \partial D } ( Y _ { s } ) d l _ { s } = 1 _ { t }$ ; confidence 0.676
+
42. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240535.png ; $k ( X _ { 2 } ) = p$ ; confidence 0.797
  
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43. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092470/t092470133.png ; $R _ { T ^ { \prime \prime } }$ ; confidence 0.675
+
43. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130270/b13027070.png ; $B \otimes K ( H )$ ; confidence 0.796
  
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44. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013096.png ; $P _ { 1 }$ ; confidence 0.674
+
44. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130030/m1300307.png ; $f ( z ^ { d } ) = f ( z ) - z$ ; confidence 0.796
  
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45. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240515.png ; $Z _ { 0 } = Z _ { 12 } - Z _ { 13 } R$ ; confidence 0.674
+
45. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240414.png ; $f ( Z _ { 1 } )$ ; confidence 0.795
  
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46. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130100/b13010015.png ; $k _ { z } = K _ { z } / \| K _ { z } \|$ ; confidence 0.674
+
46. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057450/l05745021.png ; $v \in C ( \overline { G } )$ ; confidence 0.795
  
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47. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110020/d11002099.png ; $f : S \rightarrow C$ ; confidence 0.674
+
47. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065580/m0655809.png ; $P ( x ) = \sum _ { k = 1 } ^ { n } \alpha _ { k } x ^ { \lambda _ { k } }$ ; confidence 0.795
  
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48. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074010/p07401048.png ; $O _ { 3 } = O _ { 6 } \cap O _ { 7 }$ ; confidence 0.673
+
48. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110230/p11023076.png ; $x \in R ^ { + }$ ; confidence 0.795
  
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49. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240500.png ; $2$ ; confidence 0.672
+
49. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091080/s09108054.png ; $\sum _ { n < x } f ( n ) = R ( x ) + O ( x ^ { \{ ( \alpha + 1 ) ( 2 \eta - 1 ) / ( 2 \eta + 1 ) \} + \epsilon } )$ ; confidence 0.795
  
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50. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015650/b01565010.png ; $B _ { n } ( x + 1 ) - B _ { n } ( x ) = n x ^ { n - 1 }$ ; confidence 0.672
+
50. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001099.png ; $\delta b$ ; confidence 0.794
  
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51. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073740/p07374027.png ; $( \xi ) _ { R }$ ; confidence 0.672
+
51. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a110220112.png ; $\int _ { H } f d m = \int _ { \Omega } R _ { 1 } f d P _ { 1 } = \int _ { \Omega } R _ { 2 } f d P _ { 2 }$ ; confidence 0.794
  
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52. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001081.png ; $U ( 1 ) _ { \tau } \subset \operatorname { SU } ( 2 )$ ; confidence 0.671
+
52. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830278.png ; $u \leq \theta u$ ; confidence 0.794
  
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53. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032330/d03233032.png ; $r \in F$ ; confidence 0.671
+
53. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068190/o0681907.png ; $T ( t ) x$ ; confidence 0.794
  
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54. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130010/f13001030.png ; $R _ { i } = F _ { q } [ x ] / ( f _ { i } )$ ; confidence 0.671
+
54. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130040/q13004026.png ; $J _ { f } ( x ) \leq K l ( f ^ { \prime } ( x ) ) ^ { n }$ ; confidence 0.794
  
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55. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097030/w09703029.png ; $U = \cup _ { i } \operatorname { Im } f$ ; confidence 0.671
+
55. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080620/r08062044.png ; $X = \| x _ { i } \|$ ; confidence 0.794
  
−
56. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017560/b01756018.png ; $P \{ \xi _ { t } \equiv 0 \} = 1$ ; confidence 0.670
+
56. https://www.encyclopediaofmath.org/legacyimages/y/y120/y120010/y120010139.png ; $R : X \times X \rightarrow \operatorname { End } _ { k } ( V \otimes _ { k } V )$ ; confidence 0.794
  
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57. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021760/c02176012.png ; $X = \frac { 1 } { n } \sum _ { j = 1 } ^ { n } X$ ; confidence 0.670
+
57. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240474.png ; $X _ { 1 }$ ; confidence 0.793
  
−
58. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060160/l06016034.png ; $\alpha = E X _ { 1 }$ ; confidence 0.670
+
58. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240238.png ; $MS _ { e } = SS _ { e } / ( n - r )$ ; confidence 0.793
  
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59. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240373.png ; $z _ { 1 }$ ; confidence 0.669
+
59. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014190/a01419047.png ; $t _ { + } < + \infty$ ; confidence 0.793
  
−
60. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a011460108.png ; $x \in A ^ { p } ( X ) = A ^ { * } ( X ) \cap H ^ { 2 p } ( X )$ ; confidence 0.669
+
60. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c13007063.png ; $g = 0 \Rightarrow c$ ; confidence 0.793
  
−
61. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073340/p07334022.png ; $/ t \rightarrow \lambda$ ; confidence 0.669
+
61. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047940/h04794088.png ; $e _ { i } : O ( \Delta _ { q - 1 } ) \rightarrow O ( \Delta _ { q } )$ ; confidence 0.793
  
−
62. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086940/s08694070.png ; $\| \eta ( \cdot ) \| ^ { 2 } = \int _ { 0 } ^ { \infty } | \eta ( t ) | ^ { 2 } d t$ ; confidence 0.669
+
62. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240310.png ; $\eta i$ ; confidence 0.793
  
−
63. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036770/e03677051.png ; $f | _ { A } = \phi$ ; confidence 0.668
+
63. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044350/g044350116.png ; $V ( \Re ) > 2 ^ { n } d ( \Lambda )$ ; confidence 0.792
  
−
64. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046010/h046010104.png ; $m \geq 3$ ; confidence 0.668
+
64. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093890/t09389045.png ; $o ( N ) / N \rightarrow 0$ ; confidence 0.792
  
−
65. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110020/i11002022.png ; $0 = + \infty$ ; confidence 0.667
+
65. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028064.png ; $\chi ( G ) < \operatorname { girth } ( G )$ ; confidence 0.791
  
−
66. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051070/i05107042.png ; $c ( I ) = \frac { 1 } { 2 }$ ; confidence 0.667
+
66. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120020/h1200207.png ; $\hat { \phi } ( j ) = \alpha$ ; confidence 0.791
  
−
67. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094240/t09424015.png ; $\frac { a _ { 0 } } { 4 } x ^ { 2 } - \sum _ { k = 1 } ^ { \infty } \frac { a _ { k } \operatorname { cos } k x + b _ { k } \operatorname { sin } k x } { k ^ { 2 } }$ ; confidence 0.667
+
67. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093260/t09326056.png ; $d \Phi$ ; confidence 0.791
  
−
68. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f12021069.png ; $= \frac { ( n _ { 1 } + l ) ! } { ! ! } ( \operatorname { log } z ) ^ { l } z ^ { \lambda _ { 2 } } + \ldots$ ; confidence 0.665
+
68. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240453.png ; $q = 1$ ; confidence 0.790
  
−
69. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017340/b01734029.png ; $C _ { \alpha }$ ; confidence 0.664
+
69. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130040/t13004014.png ; $\tau x ^ { n }$ ; confidence 0.790
  
−
70. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022370/c02237063.png ; $Q / Z$ ; confidence 0.664
+
70. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240155.png ; $c ^ { \prime } \beta$ ; confidence 0.790
  
−
71. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074720/p07472020.png ; $\Gamma _ { F }$ ; confidence 0.663
+
71. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035660/e03566053.png ; $c ( n ) \| \mu \| _ { e } = \| U _ { \mu } \|$ ; confidence 0.789
  
−
72. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086650/s086650167.png ; $Z _ { 24 }$ ; confidence 0.663
+
72. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025640/c0256402.png ; $\{ \alpha _ { n } \} _ { n = 0 } ^ { \omega } \quad \text { and } \quad \{ b _ { n } \} _ { n = 1 } ^ { \omega }$ ; confidence 0.788
  
−
73. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010950/a01095099.png ; $X = \xi ^ { i }$ ; confidence 0.662
+
73. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420158.png ; $A _ { \theta }$ ; confidence 0.786
  
−
74. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120070/c12007055.png ; $Ab ^ { Z C } \approx Ab ^ { C }$ ; confidence 0.662
+
74. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031680/d0316809.png ; $\Delta ^ { m } y _ { n } = \sum _ { k = 0 } ^ { m } ( - 1 ) ^ { m - k } \left( \begin{array} { c } { m } \\ { k } \end{array} \right) y _ { n + k }$ ; confidence 0.786
  
−
75. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n066630108.png ; $M _ { i } ^ { * } = c _ { i } \sum _ { j = 1 } ^ { n } M _ { j }$ ; confidence 0.662
+
75. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130130/p13013032.png ; $\lambda _ { 1 } > \ldots > \lambda _ { n } ( \lambda ) > 0$ ; confidence 0.786
  
−
76. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010138.png ; $D$ ; confidence 0.661
+
76. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090270/s0902702.png ; $\alpha < t < b$ ; confidence 0.786
  
−
77. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b12021075.png ; $\mathfrak { F } _ { \lambda }$ ; confidence 0.661
+
77. https://www.encyclopediaofmath.org/legacyimages/y/y120/y120010/y12001036.png ; $R _ { V } : V \otimes _ { k } V \rightarrow V \otimes _ { k } V$ ; confidence 0.786
  
−
78. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033570/d0335705.png ; $\alpha \sum _ { i \in I } b _ { i } = \sum _ { i \in I } a b _ { i }$ ; confidence 0.661
+
78. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240490.png ; $X _ { 2 }$ ; confidence 0.785
  
−
79. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092600/t09260017.png ; $\theta ( z + \tau ) = \operatorname { exp } ( - 2 \pi i k z ) . \theta ( z )$ ; confidence 0.660
+
79. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539032.png ; $d ^ { x }$ ; confidence 0.785
  
−
80. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012120/a01212040.png ; $\alpha _ { i } + 1$ ; confidence 0.659
+
80. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015210/b01521049.png ; $\alpha \in S _ { \alpha }$ ; confidence 0.784
  
−
81. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025020/c02502055.png ; $r \uparrow 1$ ; confidence 0.659
+
81. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130180/d13018088.png ; $\operatorname { lim } _ { n \rightarrow \infty } f g _ { n } = f$ ; confidence 0.784
  
−
82. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033630/d03363020.png ; $\operatorname { lim } _ { x \rightarrow \infty } e ^ { - x } \sum _ { n = 0 } ^ { \infty } \frac { s _ { n } x ^ { n } } { n ! }$ ; confidence 0.659
+
82. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110010/r110010322.png ; $j$ ; confidence 0.784
  
−
83. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120080/i120080116.png ; $\gamma = 7 / 4$ ; confidence 0.659
+
83. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087550/s08755022.png ; $\alpha \leq p b$ ; confidence 0.784
  
−
84. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060820/l06082028.png ; $\Delta ^ { r + 1 } v _ { j } = \Delta ^ { r } v _ { j + 1 } - \Delta ^ { r } v _ { j }$ ; confidence 0.659
+
84. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240367.png ; $M _ { E } = Z _ { 3 } ^ { \prime } Z _ { 3 }$ ; confidence 0.783
  
−
85. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120110/n12011031.png ; $x \in K$ ; confidence 0.658
+
85. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310159.png ; $\Omega$ ; confidence 0.783
  
−
86. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087320/s08732041.png ; $\mathfrak { R } _ { \mu } ( \Pi _ { 0 } ) = \operatorname { inf } _ { \Pi } \Re _ { \mu } ( \Pi )$ ; confidence 0.658
+
86. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016079.png ; $[ M ^ { - 1 } A ] x = [ M ^ { - 1 } b ]$ ; confidence 0.783
  
−
87. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022034.png ; $0 \leq S \leq T \in L ( X )$ ; confidence 0.657
+
87. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012160/a0121604.png ; $\phi = \operatorname { am } z$ ; confidence 0.783
  
−
88. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043640/g04364030.png ; $K ( y ) = \operatorname { sgn } y . | y | ^ { \alpha }$ ; confidence 0.655
+
88. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081250/r08125011.png ; $H ( t ) = E N$ ; confidence 0.783
  
−
89. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110060/i11006080.png ; $T$ ; confidence 0.652
+
89. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020184.png ; $F : S ^ { n } \rightarrow K ( E ^ { n + 1 } \backslash \theta )$ ; confidence 0.783
  
−
90. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120150/s120150139.png ; $\varphi H G$ ; confidence 0.652
+
90. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018049.png ; $B = 1$ ; confidence 0.783
  
−
91. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240137.png ; $B$ ; confidence 0.651
+
91. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240180.png ; $= E ( y _ { i j k } )$ ; confidence 0.782
  
−
92. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044910/g04491070.png ; $\sum _ { d ( e ) = Q } f _ { e }$ ; confidence 0.651
+
92. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010123.png ; $\sum _ { k = 1 } ^ { n } k ( n + 1 - k ) ( n + 1 - 2 k ) b _ { 2 k } = 0$ ; confidence 0.782
  
−
93. https://www.encyclopediaofmath.org/legacyimages/w/w110/w110070/w11007022.png ; $\| x \| _ { 1 }$ ; confidence 0.650
+
93. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420138.png ; $I \mapsto I$ ; confidence 0.782
  
−
94. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539018.png ; $\delta \rho ( \pi , \delta )$ ; confidence 0.650
+
94. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093160/t09316047.png ; $p _ { 1 } \otimes \sim p _ { 2 }$ ; confidence 0.782
  
−
95. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023270/c0232708.png ; $\overline { \overline { A } } = \vec { A }$ ; confidence 0.649
+
95. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050950/i05095025.png ; $= 2 \pi ^ { 3 } a ^ { 2 } \frac { ( n + 1 ) ( 2 n + 1 ) } { 3 n ^ { 2 } }$ ; confidence 0.781
  
−
96. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539060.png ; $\delta _ { \epsilon } ^ { * }$ ; confidence 0.648
+
96. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240147.png ; $\mu$ ; confidence 0.780
  
−
97. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016610/b01661046.png ; $\vec { u } = A _ { j } ^ { i } u ^ { j }$ ; confidence 0.648
+
97. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a1203106.png ; $W ^ { * }$ ; confidence 0.779
  
−
98. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130130/h13013015.png ; $e ^ { i k x }$ ; confidence 0.648
+
98. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240309.png ; $\sum _ { i j k } ( y _ { i j k } - \eta _ { i j } ) ^ { 2 }$ ; confidence 0.779
  
−
99. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110080/c11008041.png ; $f$ ; confidence 0.647
+
99. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011780/a01178016.png ; $b a P$ ; confidence 0.779
  
−
100. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036820/e03682019.png ; $B _ { \mu } ^ { 1 } \subset B \subset B _ { \mu } ^ { 2 }$ ; confidence 0.646
+
100. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130150/t13015064.png ; $K ( L ^ { 2 } ( S ) )$ ; confidence 0.779
  
−
101. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087450/s087450208.png ; $I _ { T } ( \lambda ) = \frac { 1 } { 2 \pi T } | \int _ { 0 } ^ { T } e ^ { - i t \lambda } x ( t ) d t |$ ; confidence 0.646
+
101. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010166.png ; $\hat { k } ( 2 \alpha + \beta )$ ; confidence 0.779
  
−
102. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h047690116.png ; $G = SU ( k )$ ; confidence 0.645
+
102. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064550/m06455029.png ; $G \rightarrow R _ { + } ^ { * }$ ; confidence 0.778
  
−
103. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085580/s08558099.png ; $\psi ( t ) = a * ( t ) g ( t ) +$ ; confidence 0.645
+
103. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240248.png ; $( q , n - r )$ ; confidence 0.777
  
−
104. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013021.png ; $h$ ; confidence 0.644
+
104. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110610/b11061011.png ; $K ^ { * }$ ; confidence 0.777
  
−
105. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110060/e11006015.png ; $\Omega _ { * } ^ { SO }$ ; confidence 0.644
+
105. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042120/f04212073.png ; $\frac { \partial w } { \partial z } + A ( z ) w + B ( z ) \overline { w } = F ( z )$ ; confidence 0.777
  
−
106. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076770/q07677043.png ; $X = x _ { 0 } + V$ ; confidence 0.644
+
106. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066340/n06634090.png ; $x \in V _ { n }$ ; confidence 0.777
  
−
107. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015660/b01566054.png ; $\alpha = ( k + 1 / 2 )$ ; confidence 0.643
+
107. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080930/r08093013.png ; $\overline { A } z = \overline { u }$ ; confidence 0.777
  
−
108. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026390/c026390117.png ; $r _ { u } \times r _ { v } \neq 0$ ; confidence 0.643
+
108. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240435.png ; $\operatorname { tr } ( N \Theta )$ ; confidence 0.777
  
−
109. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024048.png ; $s \times p$ ; confidence 0.642
+
109. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023150/c02315068.png ; $\square ^ { 1 } P ^ { i } = P$ ; confidence 0.776
  
−
110. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041170/f041170108.png ; $\eta \in \operatorname { ln } t \Gamma ^ { \prime }$ ; confidence 0.642
+
110. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057870/l05787021.png ; $\lambda ( I ) = \lambda ^ { * } ( A \cap I ) + \lambda ^ { * } ( I \backslash A )$ ; confidence 0.776
  
−
111. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076800/q07680042.png ; $\nu _ { 1 } ^ { S }$ ; confidence 0.641
+
111. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062620/m062620198.png ; $z \square ^ { ( s ) }$ ; confidence 0.776
  
−
112. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e12010015.png ; $f ^ { em } = q _ { f } E + \frac { 1 } { c } J \times B + ( \nabla E ) P + ( \nabla B ) M +$ ; confidence 0.640
+
112. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010104.png ; $A \pm \Delta A ] x = [ b \pm \Delta b$ ; confidence 0.776
  
−
113. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060830/l06083024.png ; $Q _ { i - 1 } / Q _ { i }$ ; confidence 0.640
+
113. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c02278060.png ; $B O _ { m } \times B O _ { n } \rightarrow B O _ { m } + n$ ; confidence 0.775
  
−
114. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e036960198.png ; $y ^ { \prime } + \alpha _ { 1 } y = 0$ ; confidence 0.639
+
114. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052800/i05280027.png ; $x = \{ x ^ { \alpha } ( u ^ { s } ) \}$ ; confidence 0.775
  
−
115. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073960/p0739603.png ; $P ( x ) = a _ { 0 } + \alpha _ { 1 } x + \ldots + \alpha _ { n } x ^ { n }$ ; confidence 0.639
+
115. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076250/q076250144.png ; $x \in E _ { + } ( s )$ ; confidence 0.775
  
−
116. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076840/q076840293.png ; $G _ { l }$ ; confidence 0.639
+
116. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082050/r082050121.png ; $AH _ { p }$ ; confidence 0.775
  
−
117. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080210/r08021055.png ; $F ( m ) = f _ { m } ( m )$ ; confidence 0.639
+
117. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539029.png ; $= \int \int _ { \Theta } L ( \theta , \delta ( x ) ) p ( x | \theta ) \pi ( \theta ) d \mu ( x ) d \nu ( \theta ) =$ ; confidence 0.774
  
−
118. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010020/a0100206.png ; $t$ ; confidence 0.637
+
118. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600163.png ; $1 \leq h _ { m } \leq h . \phi ( m )$ ; confidence 0.774
  
−
119. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015440/b01544026.png ; $X _ { 1 }$ ; confidence 0.637
+
119. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130160/r1301601.png ; $c ^ { \infty } ( \Omega ) ^ { N }$ ; confidence 0.774
  
−
120. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023050/c02305085.png ; $cd _ { l } ( Spec A )$ ; confidence 0.637
+
120. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058170/l05817023.png ; $\{ i _ { k } \}$ ; confidence 0.773
  
−
121. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041170/f04117079.png ; $f * g$ ; confidence 0.637
+
121. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130160/r13016037.png ; $c ^ { m } ( \Omega )$ ; confidence 0.773
  
−
122. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055850/k05585059.png ; $W _ { \alpha } ( B \supset C ) = T \leftrightarrows$ ; confidence 0.637
+
122. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090720/s09072010.png ; $a \neq a _ { 0 }$ ; confidence 0.773
  
−
123. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059160/l059160335.png ; $T _ { \Delta }$ ; confidence 0.636
+
123. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420123.png ; $\pi$ ; confidence 0.772
  
−
124. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026580/c0265803.png ; $\eta _ { Y | X } ^ { 2 } = 1 - E [ \frac { D ( Y | X ) } { D Y } ]$ ; confidence 0.635
+
124. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240104.png ; $y _ { i }$ ; confidence 0.771
  
−
125. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086330/s086330106.png ; $\| x \| ^ { 2 } = \int _ { \sigma ( A ) } | f _ { \lambda } ( x ) | ^ { 2 } d \rho ( \lambda )$ ; confidence 0.635
+
125. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240205.png ; $X _ { 3 } \beta \neq 0$ ; confidence 0.771
  
−
126. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058470/l05847082.png ; $\mathfrak { g } = \mathfrak { a } + \mathfrak { n }$ ; confidence 0.634
+
126. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110060/i11006083.png ; $H \equiv L \circ K$ ; confidence 0.769
  
−
127. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097670/w097670151.png ; $A _ { k + 1 } ( C )$ ; confidence 0.634
+
127. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065140/m065140117.png ; $p _ { 1 } + \ldots + p _ { m } = p$ ; confidence 0.769
  
−
128. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001060.png ; $S ^ { 3 } / \Gamma$ ; confidence 0.633
+
128. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047470/h04747031.png ; $F ^ { p }$ ; confidence 0.768
  
−
129. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b0153905.png ; $\{ P _ { \theta } : \theta \in \Theta \}$ ; confidence 0.633
+
129. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055660/k0556604.png ; $f ( z ) = z + \ldots$ ; confidence 0.768
  
−
130. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110030/c11003017.png ; $v = u ^ { 2 } +$ ; confidence 0.633
+
130. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130020/m13002029.png ; $A = ( \frac { 1 } { \operatorname { sinh } r } - \frac { 1 } { r } ) \epsilon _ { i j k } \frac { x _ { j } } { r } \sigma _ { k } d x _ { i }$ ; confidence 0.768
  
−
131. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040830/f0408302.png ; $\omega = \alpha _ { 1 } \ldots \alpha _ { k }$ ; confidence 0.633
+
131. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130110/v13011064.png ; $U = \frac { \Gamma } { 2 l } \operatorname { tanh } \frac { \pi b } { l } = \frac { \Gamma } { 2 l \sqrt { 2 } }$ ; confidence 0.768
  
−
132. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240353.png ; $E ( Z _ { 3 } ) = 0$ ; confidence 0.631
+
132. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130040/e13004044.png ; $( \Omega _ { + } - 1 ) ( g - g ) \psi ( t )$ ; confidence 0.766
  
−
133. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g043810381.png ; $C = \text { int } \Gamma$ ; confidence 0.630
+
133. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052370/i05237019.png ; $\operatorname { inh } ^ { - 1 } z = - i \operatorname { arcsin } i z$ ; confidence 0.766
  
−
134. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074100/p07410035.png ; $v _ { i } = \partial f / \partial t ^ { i }$ ; confidence 0.629
+
134. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067850/n067850131.png ; $u = \operatorname { tr } \Gamma ( u )$ ; confidence 0.766
  
−
135. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020197.png ; $H ^ { n } ( S ^ { n } )$ ; confidence 0.629
+
135. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090130/s09013055.png ; $K . ( H X ) = ( K H ) X$ ; confidence 0.766
  
−
136. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240516.png ; $R = V _ { 33 } ^ { - 1 } V _ { 32 }$ ; confidence 0.628
+
136. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040580/f04058066.png ; $| A | = \int _ { R } | \alpha | 0$ ; confidence 0.765
  
−
137. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b120210104.png ; $\rho = ( 1 / 2 ) \sum _ { \alpha \in \Delta ^ { + } } \alpha$ ; confidence 0.628
+
137. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093860/t09386023.png ; $P ( S )$ ; confidence 0.765
  
−
138. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041310/f04131016.png ; $\eta = \frac { ( \alpha ^ { 2 } - \rho ^ { 2 } ) ^ { 1 / 2 } ( \alpha ^ { 2 } - \rho _ { 0 } ^ { 2 } ) ^ { 1 / 2 } } { \alpha }$ ; confidence 0.628
+
138. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a0101808.png ; $\rho < | z _ { 0 } - b |$ ; confidence 0.764
  
−
139. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068250/o06825018.png ; $\operatorname { lim } _ { x \rightarrow x _ { 0 } } + 0$ ; confidence 0.628
+
139. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110290/c11029014.png ; $Q ( t ) : S ^ { \prime } \rightarrow S ^ { \prime }$ ; confidence 0.764
  
−
140. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076470/q07647062.png ; $S _ { 2 m + 1 } ^ { m }$ ; confidence 0.627
+
140. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024120/c02412032.png ; $\pi J ( s ) = \operatorname { sin } \pi s \int _ { r } ^ { \infty } \delta ^ { s - 1 } f ( - \delta ) d \delta + \frac { r ^ { s } } { 2 } \int _ { - \pi } ^ { \pi } e ^ { i \theta s } f ( r e ^ { i \theta } ) d \theta$ ; confidence 0.764
  
−
141. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010080/a01008024.png ; $M$ ; confidence 0.626
+
141. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180152.png ; $\gamma$ ; confidence 0.764
  
−
142. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042056.png ; $\Sigma ( A )$ ; confidence 0.626
+
142. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041890/f041890119.png ; $x \in R \cup \{ \infty \}$ ; confidence 0.764
  
−
143. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013044.png ; $F _ { j k } =$ ; confidence 0.626
+
143. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001082.png ; $Z = S \nmid F _ { \tau }$ ; confidence 0.763
  
−
144. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b120420115.png ; $U _ { q } ( \mathfrak { g } )$ ; confidence 0.626
+
144. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120260/c12026044.png ; $1 \leq n \leq N$ ; confidence 0.763
  
−
145. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120260/c12026032.png ; $V _ { 0 } ^ { n } = V _ { j } ^ { n } = 0$ ; confidence 0.626
+
145. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047610/h04761062.png ; $\mathfrak { M } ( M )$ ; confidence 0.763
  
−
146. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052550/i05255041.png ; $\omega ^ { \beta }$ ; confidence 0.626
+
146. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086700/s08670044.png ; $e ^ { - k - s | / \mu } / \mu$ ; confidence 0.763
  
−
147. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058360/l05836041.png ; $x \# y = x y + y x - \frac { 2 } { n + 1 } ( \operatorname { Tr } x y ) l$ ; confidence 0.625
+
147. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001041.png ; $\{ \xi ^ { \alpha } , \eta ^ { \alpha } , \Phi ^ { \alpha } \} \alpha = 1,2,3$ ; confidence 0.761
  
−
148. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050770/i05077013.png ; $\phi _ { \alpha \alpha } = 1 _ { A _ { \alpha } }$ ; confidence 0.624
+
148. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025420/c025420100.png ; $\neg \neg \exists x R \supset \exists x R$ ; confidence 0.760
  
−
149. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090900/s09090090.png ; $V = V ( \infty ) = \{ x \in R ^ { n } : | x | > R \}$ ; confidence 0.624
+
149. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027480/c027480106.png ; $\Sigma _ { S }$ ; confidence 0.760
  
−
150. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031910/d0319107.png ; $\dot { x } = f ( t )$ ; confidence 0.623
+
150. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820173.png ; $F ( \overline { m } )$ ; confidence 0.760
  
−
151. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v12002064.png ; $d _ { k } = rd _ { Y } M _ { k }$ ; confidence 0.623
+
151. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240517.png ; $V _ { j j ^ { \prime } } = Z _ { 3 j } ^ { \prime } Z _ { 3 j }$ ; confidence 0.760
  
−
152. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011390/a01139015.png ; $\mu _ { f } ( E ) = \int _ { E } f d x$ ; confidence 0.622
+
152. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022010.png ; $X = c 0$ ; confidence 0.759
  
−
153. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040290/f04029031.png ; $G / G 1$ ; confidence 0.622
+
153. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110090/b1100902.png ; $l ^ { \infty } ( N )$ ; confidence 0.759
  
−
154. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f120110126.png ; $F ( z ) = - \frac { 1 } { 2 \pi i } \int \frac { \operatorname { exp } e ^ { \zeta ^ { 2 } } } { \zeta - z } d \zeta$ ; confidence 0.622
+
154. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210102.png ; $k = 1 , \ldots , g$ ; confidence 0.759
  
−
155. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087360/s087360228.png ; $P \{ s ^ { 2 } < \frac { \sigma ^ { 2 } x } { n - 1 } \} = G _ { n - 1 } ( x ) = D _ { n - 1 } \int _ { 0 } ^ { x } v ^ { ( n - 3 ) } / 2 e ^ { - v / 2 } d v$ ; confidence 0.622
+
155. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036230/e03623076.png ; $2 d \geq n$ ; confidence 0.758
  
−
156. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110400/b11040017.png ; $F . C _ { i j k } = I m$ ; confidence 0.621
+
156. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050730/i050730155.png ; $\nu _ { S }$ ; confidence 0.758
  
−
157. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076530/q07653094.png ; $\square ^ { 01 } S _ { 3 } ^ { 1 }$ ; confidence 0.621
+
157. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011820/a011820124.png ; $M \times N$ ; confidence 0.757
  
−
158. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011050/a01105018.png ; $f \times ( O _ { X } )$ ; confidence 0.620
+
158. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048310/h04831085.png ; $\alpha = a ( x )$ ; confidence 0.757
  
−
159. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164014.png ; $| K _ { i } | = | i K _ { V ^ { J } } |$ ; confidence 0.620
+
159. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l05700010.png ; $( \lambda x M ) \in \Lambda$ ; confidence 0.756
  
−
160. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033430/d03343022.png ; $x \in D _ { B }$ ; confidence 0.620
+
160. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013670/a01367016.png ; $J _ { \nu } ( x ) \sim \sqrt { \frac { 2 } { \pi x } } [ \operatorname { cos } ( x - \frac { \pi \nu } { 2 } - \frac { \pi } { 4 } ) \sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } \alpha _ { 2 n } x ^ { - 2 n }$ ; confidence 0.755
  
−
161. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130090/f13009060.png ; $P ( N _ { k } = n ) = p ^ { n } F _ { n + 1 - k } ^ { ( k ) } ( \frac { q } { p } )$ ; confidence 0.620
+
161. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120140/p12014039.png ; $E _ { r } = S \cup T$ ; confidence 0.755
  
−
162. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g043780250.png ; $\hbar \square ^ { * } ( M )$ ; confidence 0.620
+
162. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073020/p07302077.png ; $L ( R ) \otimes _ { K } H _ { n } ( R ) = R$ ; confidence 0.755
  
−
163. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a0112107.png ; $\operatorname { Ai } ( x )$ ; confidence 0.619
+
163. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085790/s08579085.png ; $\sum _ { l = 1 } ^ { \infty } \frac { \operatorname { ln } q + 1 } { q l }$ ; confidence 0.755
  
−
164. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013220/a0132202.png ; $F ( z ) = z + \alpha _ { 0 } + \frac { \alpha _ { 1 } } { z } + \ldots$ ; confidence 0.619
+
164. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a0101207.png ; $\sum _ { n = 0 } ^ { \infty } f ^ { ( n ) } ( \lambda _ { n } ) P _ { n } ( z )$ ; confidence 0.754
  
−
165. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120130/m12013029.png ; $= f ( N _ { * } ) + f ^ { \prime } ( N _ { * } ) n + \frac { f ^ { \prime \prime } ( N _ { * } ) } { 2 } n ^ { 2 } + \ldots$ ; confidence 0.619
+
165. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013670/a0136709.png ; $f ( x ) \sim \sum _ { n = 0 } ^ { \infty } a _ { n } \phi _ { n } ( x ) \quad ( x \rightarrow x _ { 0 } )$ ; confidence 0.754
  
−
166. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020550/c02055058.png ; $t \otimes _ { k } K$ ; confidence 0.618
+
166. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032480/d03248013.png ; $d ( I ^ { n } ) = n$ ; confidence 0.754
  
−
167. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180182.png ; $\tau _ { 2 } \Theta = - \Theta$ ; confidence 0.618
+
167. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h046420330.png ; $B = B _ { E }$ ; confidence 0.754
  
−
168. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032450/d032450404.png ; $[ V ] = \operatorname { limsup } ( \operatorname { log } d _ { V } ( n ) \operatorname { log } ( n ) ^ { - 1 } )$ ; confidence 0.618
+
168. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086940/s086940134.png ; $0 \leq \omega \leq \infty$ ; confidence 0.754
  
−
169. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010158.png ; $T ^ { n }$ ; confidence 0.616
+
169. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110430/c11043040.png ; $m ( S ) ^ { 2 } > ( 2 k + 1 ) ( n - k ) + \frac { k ( k + 1 ) } { 2 } - \frac { 2 ^ { k } n ^ { 2 k + 1 } } { m ( 2 k ) ! \left( \begin{array} { l } { n } \\ { k } \end{array} \right) }$ ; confidence 0.753
  
−
170. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030250/d03025016.png ; $u _ { n } + 1 - k$ ; confidence 0.616
+
170. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j120020198.png ; $k _ { \vartheta } ( z ) = \frac { 1 - | z | ^ { 2 } } { | z - e ^ { i \vartheta | ^ { 2 } } }$ ; confidence 0.753
  
−
171. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072670/p0726706.png ; $\operatorname { sch } / S$ ; confidence 0.616
+
171. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087820/s08782061.png ; $\alpha _ { 1 } = - 3$ ; confidence 0.753
  
−
172. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120040/s120040125.png ; $\pi \Gamma$ ; confidence 0.616
+
172. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017330/b017330240.png ; $B = H ^ { \infty } \subset H _ { \psi } \subset N ^ { * }$ ; confidence 0.752
  
−
173. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240446.png ; $j = 1 , \ldots , p$ ; confidence 0.616
+
173. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031750/d03175013.png ; $\overline { G } = G + \Gamma$ ; confidence 0.752
  
−
174. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010106.png ; $G _ { 2 } / \operatorname { Sp } ( 1 ) , \quad F _ { 4 } / \operatorname { Sp } ( 3 ) , E _ { 6 } / SU ( 6 ) , \quad E _ { 7 } / \operatorname { Spin } ( 12 ) , \quad E _ { 8 } / E _ { 7 }$ ; confidence 0.614
+
174. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130230/m130230103.png ; $- ( K _ { X } + B )$ ; confidence 0.752
  
−
175. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016160/b01616031.png ; $\hat { R } ( c )$ ; confidence 0.613
+
175. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091960/s09196011.png ; $\{ \pi ( i ) : \square i \in I _ { 0 } \}$ ; confidence 0.752
  
−
176. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240254.png ; $6$ ; confidence 0.612
+
176. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a0102006.png ; $A ] [ B$ ; confidence 0.752
  
−
177. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073700/p073700127.png ; $m / m ^ { 2 }$ ; confidence 0.612
+
177. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210120.png ; $1$ ; confidence 0.751
  
−
178. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539054.png ; $+ \pi _ { 2 } p ( x | \theta _ { 2 } ) L ( \theta _ { 2 } , \delta ( x ) ) ] d \mu ( x )$ ; confidence 0.612
+
178. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240101.png ; $x$ ; confidence 0.751
  
−
179. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120040/b12004018.png ; $| x _ { y } \| \rightarrow 0$ ; confidence 0.611
+
179. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120150/h12015024.png ; $\operatorname { log } | \phi ( h ) | = \int \operatorname { log } | h | d$ ; confidence 0.751
  
−
180. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130030/o13003024.png ; $\overline { P _ { 8 } }$ ; confidence 0.610
+
180. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022021.png ; $T$ ; confidence 0.750
  
−
181. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014190/a014190112.png ; $\dot { x } = A x$ ; confidence 0.608
+
181. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023110/c02311056.png ; $A ^ { G } = \{ \alpha \in A : g \alpha = \alpha \text { for all } g \in G \}$ ; confidence 0.750
  
−
182. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050640/i05064012.png ; $\gamma = \operatorname { ind } _ { g } a$ ; confidence 0.608
+
182. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040850/f040850279.png ; $V _ { 1 } ^ { * }$ ; confidence 0.750
  
−
183. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l058510173.png ; $A _ { I l }$ ; confidence 0.608
+
183. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024160/c02416048.png ; $O _ { A } = O _ { D } / J | _ { A }$ ; confidence 0.748
  
−
184. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240231.png ; $a$ ; confidence 0.607
+
184. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120020/e12002093.png ; $\Sigma \Omega X \rightarrow X$ ; confidence 0.748
  
−
185. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012930/a01293027.png ; $L u \equiv \frac { \partial u } { \partial t } - \frac { \partial ^ { 2 } u } { \partial x ^ { 2 } } = 0$ ; confidence 0.607
+
185. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073980/p07398067.png ; $F \otimes S ^ { m } E$ ; confidence 0.748
  
−
186. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044400/g04440032.png ; $d E$ ; confidence 0.607
+
186. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016730/b01673033.png ; $r ^ { 3 } / v \ll 1$ ; confidence 0.747
  
−
187. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087450/s087450224.png ; $\frac { 1 } { 2 \pi } \sum _ { t = - T + 1 } ^ { T - 1 } e ^ { - i t \lambda } r ^ { * } ( t ) c T ( t )$ ; confidence 0.607
+
187. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020140/c02014016.png ; $\Sigma _ { 12 } = \Sigma _ { 2 } ^ { T }$ ; confidence 0.747
  
−
188. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036850/e03685016.png ; $\overline { \Pi } _ { k } \subset \Pi _ { k + 1 }$ ; confidence 0.606
+
188. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130110/v13011059.png ; $2 i$ ; confidence 0.747
  
−
189. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a130070121.png ; $n \equiv a ( \operatorname { mod } b )$ ; confidence 0.605
+
189. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074660/p0746603.png ; $\left. \begin{array} { l l } { L - k E } & { M - k F } \\ { M - k F } & { N - k G } \end{array} \right| = 0$ ; confidence 0.746
  
−
190. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240493.png ; $( 1 , t _ { j } , \ldots , t _ { j } ^ { k } ) ^ { \prime }$ ; confidence 0.604
+
190. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240480.png ; $1 , \ldots , n _ { 1 }$ ; confidence 0.745
  
−
191. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021180/c021180110.png ; $E \| X _ { k } \| ^ { 3 + \alpha } < \infty$ ; confidence 0.604
+
191. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042053.png ; $K _ { 0 } ( A )$ ; confidence 0.745
  
−
192. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539028.png ; $\int \int _ { \Theta } L ( \theta , \delta ( x ) ) P _ { \theta } ( d x ) \pi ( d \theta ) =$ ; confidence 0.604
+
192. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017290/b01729066.png ; $| \hat { \alpha } ( \xi ) | > | \hat { \alpha } ( \eta ) |$ ; confidence 0.745
  
−
193. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032610/d0326107.png ; $a x + b y = 1$ ; confidence 0.602
+
193. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022930/c02293015.png ; $u ( x ) = w ( x _ { n } ) \operatorname { exp } i ( x _ { 1 } \xi _ { 1 } + \ldots + x _ { n - 1 } \xi _ { n - 1 } )$ ; confidence 0.744
  
−
194. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036940/e03694044.png ; $p f$ ; confidence 0.602
+
194. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020057.png ; $\mu$ ; confidence 0.744
  
−
195. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080142.png ; $T _ { n }$ ; confidence 0.602
+
195. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017330/b017330250.png ; $U ^ { N }$ ; confidence 0.743
  
−
196. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130220/a13022025.png ; $i : A \rightarrow X$ ; confidence 0.601
+
196. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041940/f041940175.png ; $S \subset T$ ; confidence 0.743
  
−
197. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110840/b11084049.png ; $X$ ; confidence 0.601
+
197. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045370/g0453708.png ; $f ( z ) = e ^ { ( \alpha - i b ) z ^ { \rho } }$ ; confidence 0.743
  
−
198. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076840/q07684072.png ; $w ^ { S } ( u ) = \operatorname { sup } _ { v \leq u } ( X ( u ) - X ( v ) )$ ; confidence 0.601
+
198. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120110/m12011082.png ; $\Phi ( M ) \in Wh ( \pi _ { 1 } ( M ) )$ ; confidence 0.743
  
−
199. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150393.png ; $\{ p _ { i } ^ { - 1 } U _ { i } : U _ { i } \in \mu _ { i \square } \text { and } i \in I \}$ ; confidence 0.601
+
199. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074740/p07474068.png ; $q _ { i } R = 0$ ; confidence 0.743
  
−
200. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037040/e03704077.png ; $\lambda < \alpha$ ; confidence 0.600
+
200. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t1200109.png ; $1$ ; confidence 0.742
  
−
201. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044400/g04440029.png ; $\delta \varepsilon$ ; confidence 0.600
+
201. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110180/f11018097.png ; $\| x \| _ { p } = \int _ { 0 } ^ { 1 } | x ( t ) | ^ { p } d t$ ; confidence 0.742
  
−
202. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012980/a01298033.png ; $X = H$ ; confidence 0.599
+
202. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130220/m13022026.png ; $T _ { e } = j - 744$ ; confidence 0.742
  
−
203. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026870/c026870106.png ; $e _ { i } = \partial / \partial x ^ { i } | _ { p }$ ; confidence 0.599
+
203. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093770/t09377067.png ; $\mathfrak { A } f$ ; confidence 0.742
  
−
204. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021040/c02104082.png ; $- w$ ; confidence 0.598
+
204. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010103.png ; $A x - b | \leq \Delta A | x | + \Delta b$ ; confidence 0.741
  
−
205. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051410/i051410114.png ; $\alpha ( \lambda ) = \alpha _ { - } ( \lambda ) \alpha _ { + } ( \lambda )$ ; confidence 0.598
+
205. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036400/e03640030.png ; $2 - 2 g - l$ ; confidence 0.741
  
−
206. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085580/s085580113.png ; $K = \nu - \nu$ ; confidence 0.596
+
206. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081130/r0811301.png ; $c \approx 3.10 ^ { 10 } cm / se$ ; confidence 0.741
  
−
207. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012550/a01255032.png ; $\Gamma _ { n } ^ { \alpha } ( H ) _ { \alpha } ^ { 8 }$ ; confidence 0.595
+
207. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210108.png ; $m$ ; confidence 0.740
  
−
208. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032890/d032890165.png ; $\operatorname { li } x / \phi ( d )$ ; confidence 0.594
+
208. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240444.png ; $N$ ; confidence 0.740
  
−
209. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013067.png ; $C [ t ] = C [ t _ { 1 } , t _ { 2 } , \ldots$ ; confidence 0.593
+
209. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067080/n06708019.png ; $y ( 0 ) = y ^ { \prime }$ ; confidence 0.740
  
−
210. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240399.png ; $X _ { 3 }$ ; confidence 0.593
+
210. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090180/s0901802.png ; $\square \ldots < t _ { - 1 } < t _ { 0 } \leq 0 < t _ { 1 } < t _ { 2 } < \ldots$ ; confidence 0.740
  
−
211. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240194.png ; $8$ ; confidence 0.593
+
211. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012430/a012430100.png ; $I Y \subset O$ ; confidence 0.739
  
−
212. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085380/s08538041.png ; $s _ { i } : X _ { n } \rightarrow X _ { n } + 1$ ; confidence 0.593
+
212. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110890/b11089088.png ; $\alpha ^ { i }$ ; confidence 0.739
  
−
213. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050850/i05085011.png ; $1 ^ { \circ }$ ; confidence 0.592
+
213. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120010/f1200101.png ; $S h$ ; confidence 0.739
  
−
214. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040149.png ; $\Lambda _ { S 5 } T$ ; confidence 0.591
+
214. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067900/n06790027.png ; $\alpha + b = b + \alpha$ ; confidence 0.739
  
−
215. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110610/a110610171.png ; $h \in \operatorname { Diff } ^ { + } ( M )$ ; confidence 0.591
+
215. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420169.png ; $K$ ; confidence 0.738
  
−
216. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110330/b1103309.png ; $\Omega = S ^ { D } = \{ \omega _ { i } \} _ { i \in D }$ ; confidence 0.591
+
216. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240485.png ; $B$ ; confidence 0.738
  
−
217. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w13009059.png ; $\Gamma ( H ) = \sum _ { n = 0 } ^ { \infty } H ^ { \otimes n }$ ; confidence 0.591
+
217. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240219.png ; $I$ ; confidence 0.738
  
−
218. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013095.png ; $12$ ; confidence 0.590
+
218. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110030/e11003020.png ; $f ( x _ { 0 } ) < \operatorname { inf } _ { x \in X } f ( x ) + \epsilon$ ; confidence 0.738
  
−
219. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110380/a11038041.png ; $\approx 3$ ; confidence 0.590
+
219. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057640/l0576408.png ; $\alpha _ { 1 } + n h _ { 1 }$ ; confidence 0.738
  
−
220. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012040/a01204017.png ; $X \subset Y$ ; confidence 0.590
+
220. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130020/m13002013.png ; $F _ { A } = * D _ { A } \phi$ ; confidence 0.738
  
−
221. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060290/l06029012.png ; $\left. \begin{array} { c c c } { R } & { \stackrel { \pi _ { 2 } \mu } { \rightarrow } } & { B } \\ { \pi _ { 1 } \mu \downarrow } & { \square } & { \downarrow \beta } \\ { A } & { \vec { \alpha } } & { C } \end{array} \right.$ ; confidence 0.590
+
221. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070070/o07007051.png ; $W _ { n } = X _ { ( n n ) } - X _ { ( n 1 ) }$ ; confidence 0.738
  
−
222. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072460/p07246025.png ; $S \square ^ { * }$ ; confidence 0.590
+
222. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042091.png ; $x \in G$ ; confidence 0.737
  
−
223. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016470/b0164707.png ; $( \tau = \text { const } )$ ; confidence 0.589
+
223. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200163.png ; $\operatorname { lim } \mathfrak { g } ^ { \alpha } = 1$ ; confidence 0.737
  
−
224. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033340/d033340103.png ; $\gamma$ ; confidence 0.589
+
224. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i05023059.png ; $1 < m \leq n$ ; confidence 0.737
  
−
225. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210119.png ; $d [ ( \omega ) ] = 2 g - 2$ ; confidence 0.588
+
225. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082130/r08213015.png ; $\partial x ^ { i } / \partial v$ ; confidence 0.737
  
−
226. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840256.png ; $c ( A ) \subset R \cup \{ \infty \}$ ; confidence 0.588
+
226. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539030.png ; $= \int _ { X } d \mu ( x ) [ \int _ { \Theta } L ( \theta , \delta ( x ) ) p ( x | \theta ) \pi ( \theta ) d \nu ( \theta ) ]$ ; confidence 0.736
  
−
227. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040185.png ; $p | D _ { i }$ ; confidence 0.587
+
227. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057180/l05718018.png ; $x g$ ; confidence 0.734
  
−
228. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057560/l05756010.png ; $E = \frac { m } { 2 } ( \dot { x } \square _ { 1 } ^ { 2 } + \dot { x } \square _ { 2 } ^ { 2 } + \dot { x } \square _ { 3 } ^ { 2 } ) + \frac { \kappa } { r }$ ; confidence 0.586
+
228. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120250/m12025047.png ; $L C ^ { k - 1 }$ ; confidence 0.734
  
−
229. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539021.png ; $\rho ( \pi , \delta ^ { * } ) = \operatorname { inf } _ { \delta } \int _ { \Theta } \int _ { X } L ( \theta , \delta ( x ) ) P _ { \theta } ( d x ) \pi ( d \theta )$ ; confidence 0.586
+
229. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001040.png ; $\alpha = 1,2,3$ ; confidence 0.734
  
−
230. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013069.png ; $\tau ( t ) = ( \tau _ { l } ( t ) ) _ { l \in Z }$ ; confidence 0.585
+
230. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035360/e03536090.png ; $\operatorname { Th } ( K _ { 1 } )$ ; confidence 0.733
  
−
231. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240509.png ; $E [ Z _ { 32 } , Z _ { 33 } ] = 0$ ; confidence 0.584
+
231. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820110.png ; $f _ { i } ( X ) = X _ { i } + \ldots$ ; confidence 0.733
  
−
232. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110330/c1103302.png ; $DT ( S )$ ; confidence 0.583
+
232. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240498.png ; $X _ { 3 } = ( 1 , - 1 )$ ; confidence 0.733
  
−
233. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017280/b01728011.png ; $\hat { G } \backslash G$ ; confidence 0.582
+
233. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035530/e0355309.png ; $\int \int _ { \Omega } ( \frac { \partial u } { \partial x } \frac { \partial v } { \partial x } + \frac { \partial u } { \partial y } \frac { \partial v } { \partial y } ) d x d y = - \int _ { \Omega } f v d x d y$ ; confidence 0.732
  
−
234. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043340/g04334058.png ; $( \partial w / \partial t ) + ( \partial f / \partial x ) = ( h ^ { 2 } / 2 \tau ) ( \partial ^ { 2 } w / \partial x ^ { 2 } )$ ; confidence 0.582
+
234. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240122.png ; $t _ { 1 } , t _ { 2 } , \ldots$ ; confidence 0.731
  
−
235. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066840/n06684017.png ; $\{ \psi _ { i } \} _ { 0 } ^ { m }$ ; confidence 0.581
+
235. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024041.png ; $Y = X _ { 1 } B X _ { 2 } + E$ ; confidence 0.731
  
−
236. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010120.png ; $b _ { 2 } ( s ) \leq 1$ ; confidence 0.580
+
236. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120030/m12003057.png ; $\varepsilon ^ { * } ( M A D ) = 1 / 2$ ; confidence 0.731
  
−
237. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016050/b01605010.png ; $b ( \theta ) \equiv 0$ ; confidence 0.580
+
237. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064950/m06495010.png ; $V _ { 1 } = \emptyset$ ; confidence 0.731
  
−
238. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120050/l12005018.png ; $f ( x ) = \operatorname { lim } _ { N \rightarrow \infty } \frac { 4 } { \pi ^ { 2 } } \int _ { 0 } ^ { N } \operatorname { cosh } ( \pi \tau ) \operatorname { Im } K _ { 1 / 2 + i \tau } ( x ) F ( \tau ) d \tau$ ; confidence 0.580
+
238. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082450/r08245049.png ; $( \alpha b ) \alpha = \alpha ( b \alpha )$ ; confidence 0.731
  
−
239. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072430/p0724304.png ; $B \operatorname { ccos } ( \omega t + \psi )$ ; confidence 0.580
+
239. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076610/q07661012.png ; $N _ { A }$ ; confidence 0.730
  
−
240. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026480/c02648027.png ; $\pi _ { i } : S \rightarrow A$ ; confidence 0.579
+
240. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024027.png ; $2$ ; confidence 0.729
  
−
241. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036840/e03684018.png ; $K ( B - C _ { N } ) > K ( B - A ) > D$ ; confidence 0.579
+
241. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023250/c023250187.png ; $[ \sigma ] = [ \alpha _ { 1 } ^ { \alpha _ { 1 } } \ldots a _ { n } ^ { \alpha _ { n } } ]$ ; confidence 0.729
  
−
242. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044400/g04440061.png ; $z$ ; confidence 0.578
+
242. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240524.png ; $Z _ { 12 } - Z _ { 13 } \Sigma _ { 33 } ^ { - 1 } \Sigma _ { 32 }$ ; confidence 0.727
  
−
243. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086480/s0864803.png ; $E | X ( t ) | ^ { n } \leq C < \infty$ ; confidence 0.578
+
243. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013070.png ; $( \tau _ { l } )$ ; confidence 0.726
  
−
244. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087550/s08755019.png ; $\alpha < p b$ ; confidence 0.578
+
244. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072530/p07253081.png ; $d f ^ { j }$ ; confidence 0.726
  
−
245. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027600/c0276008.png ; $- \infty < z < \infty$ ; confidence 0.577
+
245. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057720/l05772024.png ; $E ( \mu _ { n } / n )$ ; confidence 0.725
  
−
246. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092810/t092810186.png ; $B s$ ; confidence 0.576
+
246. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130010/b130010103.png ; $V _ { n } = H _ { n } / \Gamma$ ; confidence 0.724
  
−
247. https://www.encyclopediaofmath.org/legacyimages/q/q110/q110030/q11003019.png ; $\alpha > a ^ { * }$ ; confidence 0.575
+
247. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017530/b0175307.png ; $P \{ \mu ( t + t _ { 0 } ) = j | \mu ( t _ { 0 } ) = i \}$ ; confidence 0.724
  
−
248. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092800/t09280017.png ; $X _ { ( \tau _ { 1 } + \ldots + \tau _ { j - 1 } + 1 ) } = \ldots = X _ { ( \tau _ { 1 } + \ldots + \tau _ { j } ) }$ ; confidence 0.575
+
248. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024510/c0245107.png ; $P ( A | B ) = \frac { P ( A \cap B ) } { P ( B ) }$ ; confidence 0.724
  
−
249. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150622.png ; $( f _ { i } : B _ { i } \rightarrow B ) _ { i \in l }$ ; confidence 0.575
+
249. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m13025065.png ; $M _ { 3 } ( R ^ { n } ) = \{$ ; confidence 0.724
  
−
250. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001014.png ; $5$ ; confidence 0.574
+
250. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076840/q07684029.png ; $P \{ X _ { n } \in \Delta \} \rightarrow 0$ ; confidence 0.724
  
−
251. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110210/c11021043.png ; $T ( 0 ) = 0$ ; confidence 0.574
+
251. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120060/i12006014.png ; $x < \varrho y$ ; confidence 0.723
  
−
252. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120320/b12032011.png ; $\| x + y \| _ { p } = \| u + v \| _ { p }$ ; confidence 0.572
+
252. https://www.encyclopediaofmath.org/legacyimages/z/z110/z110010/z11001018.png ; $( f g f h )$ ; confidence 0.723
  
−
253. https://www.encyclopediaofmath.org/legacyimages/l/l061/l061200/l06120026.png ; $E ( T ) = \int \int _ { T } \frac { d x d y } { | x - y | }$ ; confidence 0.572
+
253. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015660/b01566081.png ; $1 - \frac { 2 } { \sqrt { 2 \pi } } \int _ { 0 } ^ { \alpha / T } e ^ { - z ^ { 2 } / 2 } d z = \frac { 2 } { \sqrt { 2 \pi } } \int _ { \alpha / \sqrt { T } } ^ { \infty } e ^ { - z ^ { 2 } / 2 } d z$ ; confidence 0.722
  
−
254. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013066.png ; $5$ ; confidence 0.571
+
254. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018025.png ; $| \operatorname { arg } ( s - s _ { 0 } ) | \leq \theta < \pi / 2$ ; confidence 0.721
  
−
255. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130040/w13004043.png ; $K = - ( \frac { 4 | d g | } { ( 1 + | g | ^ { 2 } ) ^ { 2 } | \eta | } \} ^ { 2 }$ ; confidence 0.571
+
255. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018064.png ; $A _ { n }$ ; confidence 0.720
  
−
256. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013059.png ; $i$ ; confidence 0.570
+
256. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a01130060.png ; $\gamma m$ ; confidence 0.719
  
−
257. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780302.png ; $( S _ { \omega } ^ { c } ( e ) T ) [ M ] \in Z$ ; confidence 0.570
+
257. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120510/b12051051.png ; $x _ { + } = x _ { c } + \lambda d$ ; confidence 0.719
  
−
258. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086190/s086190182.png ; $s \in E ^ { n }$ ; confidence 0.570
+
258. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091670/s09167062.png ; $S ( B _ { n } ^ { m } )$ ; confidence 0.719
  
−
259. https://www.encyclopediaofmath.org/legacyimages/v/v110/v110020/v11002046.png ; $x \in Y ( u )$ ; confidence 0.570
+
259. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027210/c02721040.png ; $P ( x ) = \sum _ { j = 1 } ^ { \mu } L j ( x ) f ( x ^ { ( j ) } )$ ; confidence 0.718
  
−
260. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031990/d031990131.png ; $R _ { L } = H ( V )$ ; confidence 0.569
+
260. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054250/j05425028.png ; $K ^ { * }$ ; confidence 0.718
  
−
261. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044730/g04473023.png ; $f _ { B } ( x ) = \frac { \lambda ^ { x } } { x ! } e ^ { - \lambda } \{ 1 + \frac { \mu _ { 2 } - \lambda } { \lambda ^ { 2 } } [ \frac { x ^ { [ 2 ] } } { 2 } - \lambda x ^ { [ 1 ] } + \frac { \lambda ^ { 2 } } { 2 } ] +$ ; confidence 0.569
+
261. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110760/b11076042.png ; $\partial ^ { k } f / \partial x : B ^ { m } \rightarrow B$ ; confidence 0.717
  
−
262. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057050/l057050165.png ; $a \rightarrow a b d ^ { 6 }$ ; confidence 0.569
+
262. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094650/t09465066.png ; $\in M$ ; confidence 0.717
  
−
263. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085250/s08525014.png ; $\sum _ { j = 1 } ^ { n } | b _ { j j } | \leq \rho$ ; confidence 0.569
+
263. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a1301306.png ; $Q ^ { ( n ) } : = Q _ { 0 } z ^ { n } + Q _ { 1 } z ^ { n - 1 } \ldots Q _ { n }$ ; confidence 0.716
  
−
264. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130100/z130100102.png ; $\forall v \exists u ( \forall w \varphi \leftrightarrow u = w )$ ; confidence 0.569
+
264. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059610/l05961011.png ; $\frac { d w _ { N } } { d t } = \frac { \partial w _ { N } } { \partial t } + \sum _ { i = 1 } ^ { N } ( \frac { \partial w _ { N } } { \partial r _ { i } } \frac { d r _ { i } } { d t } + \frac { \partial w _ { N } } { \partial p _ { i } } \frac { d p _ { i } } { d t } ) = 0$ ; confidence 0.716
  
−
265. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110540/a11054026.png ; $O ( n ^ { 2 } \operatorname { log } n )$ ; confidence 0.568
+
265. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076820/q076820110.png ; $\operatorname { lim } _ { t \rightarrow \infty } P \{ q ( t ) < x \sqrt { t } \} = \sqrt { \frac { 2 } { \pi } } \int _ { 0 } ^ { x / \sigma } e ^ { - u ^ { 2 } / 2 } d u$ ; confidence 0.716
  
−
266. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130230/a13023028.png ; $f _ { 1 } = ( P _ { n } \ldots P _ { 1 } ) ^ { 1 } f$ ; confidence 0.568
+
266. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077380/r07738036.png ; $u _ { 0 } = 1$ ; confidence 0.716
  
−
267. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063460/m063460182.png ; $z \in N$ ; confidence 0.568
+
267. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042086.png ; $z \in G$ ; confidence 0.715
  
−
268. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085360/s085360140.png ; $B d K$ ; confidence 0.567
+
268. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120300/b12030060.png ; $0 \leq \lambda _ { 1 } ( \eta ) \leq \ldots \leq \lambda _ { m } ( \eta ) \leq \ldots \rightarrow \infty$ ; confidence 0.714
  
−
269. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080620/r08062076.png ; $\beta$ ; confidence 0.566
+
269. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086520/s08652091.png ; $| T | _ { p }$ ; confidence 0.714
  
−
270. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b0153901.png ; $( X , B X )$ ; confidence 0.566
+
270. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030020/d03002056.png ; $D x$ ; confidence 0.713
  
−
271. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054050/j054050109.png ; $dn ^ { 2 } u + k ^ { 2 } sn ^ { 2 } u = 1$ ; confidence 0.565
+
271. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021033.png ; $31$ ; confidence 0.712
  
−
272. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011980/a01198058.png ; $\{ f ( x ) \overline { \phi } _ { \lambda } ( x ) \}$ ; confidence 0.564
+
272. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059110/l05911046.png ; $\{ \phi _ { i } \} _ { i k }$ ; confidence 0.712
  
−
273. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010140.png ; $\geq 7$ ; confidence 0.562
+
273. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110153.png ; $\alpha _ { 2 k + 1 } \in L ^ { 1 } ( \Phi )$ ; confidence 0.712
  
−
274. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012970/a012970129.png ; $S _ { 2 } ^ { \gamma }$ ; confidence 0.562
+
274. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240349.png ; $23$ ; confidence 0.711
  
−
275. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041060/f041060187.png ; $K _ { j } \times R ^ { N j }$ ; confidence 0.562
+
275. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013091.png ; $L : = P _ { 0 } \frac { d } { d x } + P _ { 1 } = \left( \begin{array} { c c } { - i } & { 0 } \\ { 0 } & { i } \end{array} \right) \frac { d } { d x } + \left( \begin{array} { c c } { 0 } & { q } \\ { r } & { 0 } \end{array} \right)$ ; confidence 0.711
  
−
276. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055800/k05580079.png ; $( \partial ^ { 2 } / \partial x \partial t ) u = \operatorname { sin } u$ ; confidence 0.562
+
276. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024039.png ; $p \times p$ ; confidence 0.711
  
−
277. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026040/c02604025.png ; $A _ { n } : E _ { n } \rightarrow F _ { n }$ ; confidence 0.561
+
277. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020131.png ; $= g ( \overline { u } _ { 1 } ) - \overline { q } = g ( \overline { u } _ { 1 } ) - v _ { M }$ ; confidence 0.711
  
−
278. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032130/d032130227.png ; $\int _ { S } \omega$ ; confidence 0.561
+
278. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058770/l05877073.png ; $\operatorname { lm } A _ { * } = \mathfrak { g }$ ; confidence 0.711
  
−
279. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110420/b11042014.png ; $( Id - \Delta ) ^ { \nu }$ ; confidence 0.560
+
279. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067080/n06708029.png ; $\left. \begin{array} { c } { B _ { n } ( y _ { n + 1 } ( 0 ) - y _ { n } ( 0 ) ) + B ( y _ { n } ( 0 ) ) = 0 } \\ { D _ { n } ( y _ { n + 1 } ( X ) - y _ { n } ( X ) ) + D ( y _ { n } ( X ) ) = 0 } \end{array} \right\}$ ; confidence 0.711
  
−
280. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016050/b0160507.png ; $E _ { \theta } \{ T \}$ ; confidence 0.560
+
280. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539031.png ; $x \in X , \delta ^ { * } ( x )$ ; confidence 0.710
  
−
281. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900232.png ; $III _ { 0 }$ ; confidence 0.560
+
281. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240362.png ; $22$ ; confidence 0.710
  
−
282. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063060/m06306029.png ; $x _ { i + 1 } = x _ { i } - ( \alpha _ { i } \nabla \nabla f ( x _ { j } ) + \beta _ { i } I ) ^ { - 1 } \nabla f ( x _ { i } )$ ; confidence 0.559
+
282. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120150/t12015061.png ; $( \Delta ^ { \alpha } \xi ) ^ { \# } = \Delta ^ { - \overline { \alpha } } \xi ^ { \# }$ ; confidence 0.710
  
−
283. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120030/t12003042.png ; $\psi = \Psi ^ { \prime }$ ; confidence 0.559
+
283. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094300/t094300134.png ; $\operatorname { Fix } ( T ) \subset \mathfrak { R }$ ; confidence 0.710
  
−
284. https://www.encyclopediaofmath.org/legacyimages/t/t110/t110020/t11002049.png ; $e ^ { \prime }$ ; confidence 0.559
+
284. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010219.png ; $\| \delta A \|$ ; confidence 0.710
  
−
285. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036230/e036230124.png ; $k \geq n - i t$ ; confidence 0.558
+
285. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024094.png ; $m$ ; confidence 0.709
  
−
286. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041000/f0410005.png ; $J _ { \nu }$ ; confidence 0.556
+
286. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l05700094.png ; $\equiv \lambda x y \cdot x$ ; confidence 0.709
  
−
287. https://www.encyclopediaofmath.org/legacyimages/i/i053/i053020/i05302031.png ; $\kappa _ { k } = a _ { n n } ^ { ( k ) }$ ; confidence 0.556
+
287. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086020/s08602026.png ; $\overline { D ^ { + } } = D ^ { + } \cup \Gamma$ ; confidence 0.709
  
−
288. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023550/c023550175.png ; $X = 0$ ; confidence 0.554
+
288. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240233.png ; $\hat { \psi } = \sum _ { i = 1 } ^ { r } d _ { i } z _ { i }$ ; confidence 0.709
  
−
289. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i13005074.png ; $| r _ { + } ( k ) | \leq 1 - c k ^ { 2 } ( 1 + k ^ { 2 } ) ^ { - 1 }$ ; confidence 0.554
+
289. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640155.png ; $p _ { g } \neq 1$ ; confidence 0.708
  
−
290. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120100/l120100122.png ; $R ^ { n } \times R ^ { n }$ ; confidence 0.554
+
290. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058610/l05861083.png ; $C ^ { n } / \Gamma _ { 1 }$ ; confidence 0.708
  
−
291. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120280/s12028015.png ; $\overline { E } * ( X )$ ; confidence 0.554
+
291. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240366.png ; $M _ { H } = Z _ { 1 } ^ { \prime } Z _ { 1 }$ ; confidence 0.707
  
−
292. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022570/c0225702.png ; $x _ { n } \in D _ { A }$ ; confidence 0.553
+
292. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001013.png ; $A \in R ^ { n \times n }$ ; confidence 0.707
  
−
293. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022860/c02286015.png ; $b _ { i + 1 } \ldots b _ { j }$ ; confidence 0.553
+
293. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021088.png ; $\omega _ { 1 }$ ; confidence 0.707
  
−
294. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090230/s09023035.png ; $\overline { w }$ ; confidence 0.553
+
294. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037040/e037040161.png ; $A = A _ { 0 } ^ { * }$ ; confidence 0.706
  
−
295. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130020/i13002074.png ; $+ \frac { n } { p _ { 1 } p _ { 2 } } + \ldots + \frac { n } { p _ { k - 1 } p _ { k } } + - \frac { n } { p _ { 1 } p _ { 2 } p _ { 3 } } - \ldots + ( - 1 ) ^ { k } \frac { n } { p _ { 1 } \ldots p _ { k } }$ ; confidence 0.552
+
295. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010200.png ; $| \hat { \lambda } - \lambda _ { i } | = | \delta \lambda _ { i } |$ ; confidence 0.705
  
−
296. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010144.png ; $\frac { \| ( A + \delta A ) ^ { + } - A ^ { + } \| } { \| ( A + \delta A ) ^ { + } \| _ { 2 } } \leq \mu \| A ^ { + } \| _ { 2 } \| \delta A _ { 2 }$ ; confidence 0.551
+
296. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066410/n06641020.png ; $x \in b M$ ; confidence 0.705
  
−
297. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062390/m0623907.png ; $P \{ \xi ( 0 ) = j \} = p _ { j }$ ; confidence 0.551
+
297. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l12003046.png ; $T _ { E } : U \rightarrow U$ ; confidence 0.704
  
−
298. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110010/r110010273.png ; $e _ { 3 } = ( \alpha + d ) + ( b + c )$ ; confidence 0.551
+
298. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a12031019.png ; $M _ { sa }$ ; confidence 0.704
  
−
299. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013085.png ; $L$ ; confidence 0.550
+
299. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062490/m062490165.png ; $\Lambda = \{ \omega : x _ { S } \in B \}$ ; confidence 0.703
  
−
300. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240204.png ; $74$ ; confidence 0.550
+
300. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001046.png ; $\lambda = \operatorname { dim } ( \delta ) - 1$ ; confidence 0.702

Revision as of 10:05, 2 September 2019

List

1. h047930299.png ; $Z / p$ ; confidence 0.808

2. s087280193.png ; $m = E X ( s )$ ; confidence 0.808

3. r11004022.png ; $k ^ { 2 } = k _ { c } ^ { 2 } + \frac { 3 } { 8 } \frac { \rho 2 g } { T \lambda _ { 0 } ^ { 2 } } ( 1 - \frac { \rho _ { 1 } } { \rho _ { 2 } } ) \epsilon ^ { 2 } + O ( \epsilon ^ { 3 } )$ ; confidence 0.807

4. r08143031.png ; $E / E ^ { \prime }$ ; confidence 0.807

5. a13024027.png ; $Y = X B + E$ ; confidence 0.807

6. n06649018.png ; $f ^ { - 1 } ( \alpha ) \cap \{ z : | z | \leq t \}$ ; confidence 0.806

7. a110680200.png ; $r$ ; confidence 0.805

8. a014140121.png ; $\sigma ( 1 ) = s$ ; confidence 0.805

9. d130080108.png ; $F \in Hol ( D )$ ; confidence 0.805

10. q07680012.png ; $T ^ { S }$ ; confidence 0.805

11. q07686069.png ; $f _ { X } : V _ { X } \rightarrow V _ { X } ^ { \prime }$ ; confidence 0.805

12. r11015028.png ; $M \dot { y } = f ( y )$ ; confidence 0.805

13. a13013016.png ; $8$ ; confidence 0.804

14. d0302808.png ; $\tau _ { n } ( t ) = \frac { 1 } { 2 \pi } \frac { 2 ^ { 2 n } ( n ! ) ^ { 2 } } { ( 2 n ) ! } \operatorname { cos } ^ { 2 n } \frac { t } { 2 }$ ; confidence 0.804

15. a11001089.png ; $| I - B A \| < 1$ ; confidence 0.804

16. c02104057.png ; $- u _ { 3 }$ ; confidence 0.803

17. e03677058.png ; $P ^ { \prime } ( C )$ ; confidence 0.802

18. l061160114.png ; $x _ { 0 } ( . ) : t _ { 0 } + R ^ { + } \rightarrow U$ ; confidence 0.802

19. p07267050.png ; $f ^ { \prime } ( O _ { X ^ { \prime } } ) = O _ { S ^ { \prime } }$ ; confidence 0.802

20. q07604075.png ; $\operatorname { arg } \operatorname { lim } _ { q \rightarrow r } Q _ { z } ( z ( q ) ) z ( q ) ^ { 2 }$ ; confidence 0.802

21. q07680048.png ; $\leq \nu _ { i } ^ { s }$ ; confidence 0.802

22. l120120208.png ; $G ( K _ { p ^ { \prime } } )$ ; confidence 0.801

23. p072530183.png ; $I ( G _ { p } )$ ; confidence 0.801

24. a110010270.png ; $\operatorname { min } _ { i } | \hat { \lambda } - \lambda _ { i } | \leq \operatorname { max } \{ r \psi , r ^ { 1 / r } \psi ^ { 1 / r } \}$ ; confidence 0.800

25. c02016022.png ; $K _ { X } K _ { X }$ ; confidence 0.800

26. c022780429.png ; $\phi ^ { h } ( pt )$ ; confidence 0.800

27. f03838022.png ; $C _ { 0 }$ ; confidence 0.800

28. s087820182.png ; $\| y \| = \operatorname { max } _ { i } | y _ { i } |$ ; confidence 0.800

29. t120010114.png ; $\operatorname { im } ( S ) = 7$ ; confidence 0.799

30. c02601042.png ; $N = N _ { 0 }$ ; confidence 0.799

31. l058360142.png ; $P _ { 8 }$ ; confidence 0.799

32. n06731043.png ; $B O$ ; confidence 0.799

33. w09745039.png ; $j = g ^ { 3 } / g ^ { 2 }$ ; confidence 0.799

34. t12001039.png ; $\Phi ^ { \alpha } ( Y ) = \nabla _ { Y } \xi ^ { \alpha }$ ; confidence 0.798

35. c02161069.png ; $\alpha _ { \nu } ( x ) \rightarrow b _ { \nu } ( x ^ { \prime } )$ ; confidence 0.798

36. g13003022.png ; $w \mapsto ( w ^ { * } \varphi _ { \lambda } ) _ { \lambda \in \Lambda }$ ; confidence 0.798

37. h04630075.png ; $M _ { 0 } \times I$ ; confidence 0.798

38. a012970176.png ; $d _ { 2 n - 1 } = d _ { 2 n }$ ; confidence 0.797

39. b13020048.png ; $\alpha _ { i j } \neq 0$ ; confidence 0.797

40. d03249026.png ; $G$ ; confidence 0.797

41. y11001038.png ; $\| \phi _ { q } \| _ { q } = 1$ ; confidence 0.797

42. a130240535.png ; $k ( X _ { 2 } ) = p$ ; confidence 0.797

43. b13027070.png ; $B \otimes K ( H )$ ; confidence 0.796

44. m1300307.png ; $f ( z ^ { d } ) = f ( z ) - z$ ; confidence 0.796

45. a130240414.png ; $f ( Z _ { 1 } )$ ; confidence 0.795

46. l05745021.png ; $v \in C ( \overline { G } )$ ; confidence 0.795

47. m0655809.png ; $P ( x ) = \sum _ { k = 1 } ^ { n } \alpha _ { k } x ^ { \lambda _ { k } }$ ; confidence 0.795

48. p11023076.png ; $x \in R ^ { + }$ ; confidence 0.795

49. s09108054.png ; $\sum _ { n < x } f ( n ) = R ( x ) + O ( x ^ { \{ ( \alpha + 1 ) ( 2 \eta - 1 ) / ( 2 \eta + 1 ) \} + \epsilon } )$ ; confidence 0.795

50. a11001099.png ; $\delta b$ ; confidence 0.794

51. a110220112.png ; $\int _ { H } f d m = \int _ { \Omega } R _ { 1 } f d P _ { 1 } = \int _ { \Omega } R _ { 2 } f d P _ { 2 }$ ; confidence 0.794

52. d031830278.png ; $u \leq \theta u$ ; confidence 0.794

53. o0681907.png ; $T ( t ) x$ ; confidence 0.794

54. q13004026.png ; $J _ { f } ( x ) \leq K l ( f ^ { \prime } ( x ) ) ^ { n }$ ; confidence 0.794

55. r08062044.png ; $X = \| x _ { i } \|$ ; confidence 0.794

56. y120010139.png ; $R : X \times X \rightarrow \operatorname { End } _ { k } ( V \otimes _ { k } V )$ ; confidence 0.794

57. a130240474.png ; $X _ { 1 }$ ; confidence 0.793

58. a130240238.png ; $MS _ { e } = SS _ { e } / ( n - r )$ ; confidence 0.793

59. a01419047.png ; $t _ { + } < + \infty$ ; confidence 0.793

60. c13007063.png ; $g = 0 \Rightarrow c$ ; confidence 0.793

61. h04794088.png ; $e _ { i } : O ( \Delta _ { q - 1 } ) \rightarrow O ( \Delta _ { q } )$ ; confidence 0.793

62. a130240310.png ; $\eta i$ ; confidence 0.793

63. g044350116.png ; $V ( \Re ) > 2 ^ { n } d ( \Lambda )$ ; confidence 0.792

64. t09389045.png ; $o ( N ) / N \rightarrow 0$ ; confidence 0.792

65. a11028064.png ; $\chi ( G ) < \operatorname { girth } ( G )$ ; confidence 0.791

66. h1200207.png ; $\hat { \phi } ( j ) = \alpha$ ; confidence 0.791

67. t09326056.png ; $d \Phi$ ; confidence 0.791

68. a130240453.png ; $q = 1$ ; confidence 0.790

69. t13004014.png ; $\tau x ^ { n }$ ; confidence 0.790

70. a130240155.png ; $c ^ { \prime } \beta$ ; confidence 0.790

71. e03566053.png ; $c ( n ) \| \mu \| _ { e } = \| U _ { \mu } \|$ ; confidence 0.789

72. c0256402.png ; $\{ \alpha _ { n } \} _ { n = 0 } ^ { \omega } \quad \text { and } \quad \{ b _ { n } \} _ { n = 1 } ^ { \omega }$ ; confidence 0.788

73. a110420158.png ; $A _ { \theta }$ ; confidence 0.786

74. d0316809.png ; $\Delta ^ { m } y _ { n } = \sum _ { k = 0 } ^ { m } ( - 1 ) ^ { m - k } \left( \begin{array} { c } { m } \\ { k } \end{array} \right) y _ { n + k }$ ; confidence 0.786

75. p13013032.png ; $\lambda _ { 1 } > \ldots > \lambda _ { n } ( \lambda ) > 0$ ; confidence 0.786

76. s0902702.png ; $\alpha < t < b$ ; confidence 0.786

77. y12001036.png ; $R _ { V } : V \otimes _ { k } V \rightarrow V \otimes _ { k } V$ ; confidence 0.786

78. a130240490.png ; $X _ { 2 }$ ; confidence 0.785

79. b01539032.png ; $d ^ { x }$ ; confidence 0.785

80. b01521049.png ; $\alpha \in S _ { \alpha }$ ; confidence 0.784

81. d13018088.png ; $\operatorname { lim } _ { n \rightarrow \infty } f g _ { n } = f$ ; confidence 0.784

82. r110010322.png ; $j$ ; confidence 0.784

83. s08755022.png ; $\alpha \leq p b$ ; confidence 0.784

84. a130240367.png ; $M _ { E } = Z _ { 3 } ^ { \prime } Z _ { 3 }$ ; confidence 0.783

85. a120310159.png ; $\Omega$ ; confidence 0.783

86. a11016079.png ; $[ M ^ { - 1 } A ] x = [ M ^ { - 1 } b ]$ ; confidence 0.783

87. a0121604.png ; $\phi = \operatorname { am } z$ ; confidence 0.783

88. r08125011.png ; $H ( t ) = E N$ ; confidence 0.783

89. v120020184.png ; $F : S ^ { n } \rightarrow K ( E ^ { n + 1 } \backslash \theta )$ ; confidence 0.783

90. a01018049.png ; $B = 1$ ; confidence 0.783

91. a130240180.png ; $= E ( y _ { i j k } )$ ; confidence 0.782

92. t120010123.png ; $\sum _ { k = 1 } ^ { n } k ( n + 1 - k ) ( n + 1 - 2 k ) b _ { 2 k } = 0$ ; confidence 0.782

93. a110420138.png ; $I \mapsto I$ ; confidence 0.782

94. t09316047.png ; $p _ { 1 } \otimes \sim p _ { 2 }$ ; confidence 0.782

95. i05095025.png ; $= 2 \pi ^ { 3 } a ^ { 2 } \frac { ( n + 1 ) ( 2 n + 1 ) } { 3 n ^ { 2 } }$ ; confidence 0.781

96. a130240147.png ; $\mu$ ; confidence 0.780

97. a1203106.png ; $W ^ { * }$ ; confidence 0.779

98. a130240309.png ; $\sum _ { i j k } ( y _ { i j k } - \eta _ { i j } ) ^ { 2 }$ ; confidence 0.779

99. a01178016.png ; $b a P$ ; confidence 0.779

100. t13015064.png ; $K ( L ^ { 2 } ( S ) )$ ; confidence 0.779

101. a110010166.png ; $\hat { k } ( 2 \alpha + \beta )$ ; confidence 0.779

102. m06455029.png ; $G \rightarrow R _ { + } ^ { * }$ ; confidence 0.778

103. a130240248.png ; $( q , n - r )$ ; confidence 0.777

104. b11061011.png ; $K ^ { * }$ ; confidence 0.777

105. f04212073.png ; $\frac { \partial w } { \partial z } + A ( z ) w + B ( z ) \overline { w } = F ( z )$ ; confidence 0.777

106. n06634090.png ; $x \in V _ { n }$ ; confidence 0.777

107. r08093013.png ; $\overline { A } z = \overline { u }$ ; confidence 0.777

108. a130240435.png ; $\operatorname { tr } ( N \Theta )$ ; confidence 0.777

109. c02315068.png ; $\square ^ { 1 } P ^ { i } = P$ ; confidence 0.776

110. l05787021.png ; $\lambda ( I ) = \lambda ^ { * } ( A \cap I ) + \lambda ^ { * } ( I \backslash A )$ ; confidence 0.776

111. m062620198.png ; $z \square ^ { ( s ) }$ ; confidence 0.776

112. a110010104.png ; $A \pm \Delta A ] x = [ b \pm \Delta b$ ; confidence 0.776

113. c02278060.png ; $B O _ { m } \times B O _ { n } \rightarrow B O _ { m } + n$ ; confidence 0.775

114. i05280027.png ; $x = \{ x ^ { \alpha } ( u ^ { s } ) \}$ ; confidence 0.775

115. q076250144.png ; $x \in E _ { + } ( s )$ ; confidence 0.775

116. r082050121.png ; $AH _ { p }$ ; confidence 0.775

117. b01539029.png ; $= \int \int _ { \Theta } L ( \theta , \delta ( x ) ) p ( x | \theta ) \pi ( \theta ) d \mu ( x ) d \nu ( \theta ) =$ ; confidence 0.774

118. a011600163.png ; $1 \leq h _ { m } \leq h . \phi ( m )$ ; confidence 0.774

119. r1301601.png ; $c ^ { \infty } ( \Omega ) ^ { N }$ ; confidence 0.774

120. l05817023.png ; $\{ i _ { k } \}$ ; confidence 0.773

121. r13016037.png ; $c ^ { m } ( \Omega )$ ; confidence 0.773

122. s09072010.png ; $a \neq a _ { 0 }$ ; confidence 0.773

123. a110420123.png ; $\pi$ ; confidence 0.772

124. a130240104.png ; $y _ { i }$ ; confidence 0.771

125. a130240205.png ; $X _ { 3 } \beta \neq 0$ ; confidence 0.771

126. i11006083.png ; $H \equiv L \circ K$ ; confidence 0.769

127. m065140117.png ; $p _ { 1 } + \ldots + p _ { m } = p$ ; confidence 0.769

128. h04747031.png ; $F ^ { p }$ ; confidence 0.768

129. k0556604.png ; $f ( z ) = z + \ldots$ ; confidence 0.768

130. m13002029.png ; $A = ( \frac { 1 } { \operatorname { sinh } r } - \frac { 1 } { r } ) \epsilon _ { i j k } \frac { x _ { j } } { r } \sigma _ { k } d x _ { i }$ ; confidence 0.768

131. v13011064.png ; $U = \frac { \Gamma } { 2 l } \operatorname { tanh } \frac { \pi b } { l } = \frac { \Gamma } { 2 l \sqrt { 2 } }$ ; confidence 0.768

132. e13004044.png ; $( \Omega _ { + } - 1 ) ( g - g ) \psi ( t )$ ; confidence 0.766

133. i05237019.png ; $\operatorname { inh } ^ { - 1 } z = - i \operatorname { arcsin } i z$ ; confidence 0.766

134. n067850131.png ; $u = \operatorname { tr } \Gamma ( u )$ ; confidence 0.766

135. s09013055.png ; $K . ( H X ) = ( K H ) X$ ; confidence 0.766

136. f04058066.png ; $| A | = \int _ { R } | \alpha | 0$ ; confidence 0.765

137. t09386023.png ; $P ( S )$ ; confidence 0.765

138. a0101808.png ; $\rho < | z _ { 0 } - b |$ ; confidence 0.764

139. c11029014.png ; $Q ( t ) : S ^ { \prime } \rightarrow S ^ { \prime }$ ; confidence 0.764

140. c02412032.png ; $\pi J ( s ) = \operatorname { sin } \pi s \int _ { r } ^ { \infty } \delta ^ { s - 1 } f ( - \delta ) d \delta + \frac { r ^ { s } } { 2 } \int _ { - \pi } ^ { \pi } e ^ { i \theta s } f ( r e ^ { i \theta } ) d \theta$ ; confidence 0.764

141. c120180152.png ; $\gamma$ ; confidence 0.764

142. f041890119.png ; $x \in R \cup \{ \infty \}$ ; confidence 0.764

143. t12001082.png ; $Z = S \nmid F _ { \tau }$ ; confidence 0.763

144. c12026044.png ; $1 \leq n \leq N$ ; confidence 0.763

145. h04761062.png ; $\mathfrak { M } ( M )$ ; confidence 0.763

146. s08670044.png ; $e ^ { - k - s | / \mu } / \mu$ ; confidence 0.763

147. t12001041.png ; $\{ \xi ^ { \alpha } , \eta ^ { \alpha } , \Phi ^ { \alpha } \} \alpha = 1,2,3$ ; confidence 0.761

148. c025420100.png ; $\neg \neg \exists x R \supset \exists x R$ ; confidence 0.760

149. c027480106.png ; $\Sigma _ { S }$ ; confidence 0.760

150. f040820173.png ; $F ( \overline { m } )$ ; confidence 0.760

151. a130240517.png ; $V _ { j j ^ { \prime } } = Z _ { 3 j } ^ { \prime } Z _ { 3 j }$ ; confidence 0.760

152. a12022010.png ; $X = c 0$ ; confidence 0.759

153. b1100902.png ; $l ^ { \infty } ( N )$ ; confidence 0.759

154. a010210102.png ; $k = 1 , \ldots , g$ ; confidence 0.759

155. e03623076.png ; $2 d \geq n$ ; confidence 0.758

156. i050730155.png ; $\nu _ { S }$ ; confidence 0.758

157. a011820124.png ; $M \times N$ ; confidence 0.757

158. h04831085.png ; $\alpha = a ( x )$ ; confidence 0.757

159. l05700010.png ; $( \lambda x M ) \in \Lambda$ ; confidence 0.756

160. a01367016.png ; $J _ { \nu } ( x ) \sim \sqrt { \frac { 2 } { \pi x } } [ \operatorname { cos } ( x - \frac { \pi \nu } { 2 } - \frac { \pi } { 4 } ) \sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } \alpha _ { 2 n } x ^ { - 2 n }$ ; confidence 0.755

161. p12014039.png ; $E _ { r } = S \cup T$ ; confidence 0.755

162. p07302077.png ; $L ( R ) \otimes _ { K } H _ { n } ( R ) = R$ ; confidence 0.755

163. s08579085.png ; $\sum _ { l = 1 } ^ { \infty } \frac { \operatorname { ln } q + 1 } { q l }$ ; confidence 0.755

164. a0101207.png ; $\sum _ { n = 0 } ^ { \infty } f ^ { ( n ) } ( \lambda _ { n } ) P _ { n } ( z )$ ; confidence 0.754

165. a0136709.png ; $f ( x ) \sim \sum _ { n = 0 } ^ { \infty } a _ { n } \phi _ { n } ( x ) \quad ( x \rightarrow x _ { 0 } )$ ; confidence 0.754

166. d03248013.png ; $d ( I ^ { n } ) = n$ ; confidence 0.754

167. h046420330.png ; $B = B _ { E }$ ; confidence 0.754

168. s086940134.png ; $0 \leq \omega \leq \infty$ ; confidence 0.754

169. c11043040.png ; $m ( S ) ^ { 2 } > ( 2 k + 1 ) ( n - k ) + \frac { k ( k + 1 ) } { 2 } - \frac { 2 ^ { k } n ^ { 2 k + 1 } } { m ( 2 k ) ! \left( \begin{array} { l } { n } \\ { k } \end{array} \right) }$ ; confidence 0.753

170. j120020198.png ; $k _ { \vartheta } ( z ) = \frac { 1 - | z | ^ { 2 } } { | z - e ^ { i \vartheta | ^ { 2 } } }$ ; confidence 0.753

171. s08782061.png ; $\alpha _ { 1 } = - 3$ ; confidence 0.753

172. b017330240.png ; $B = H ^ { \infty } \subset H _ { \psi } \subset N ^ { * }$ ; confidence 0.752

173. d03175013.png ; $\overline { G } = G + \Gamma$ ; confidence 0.752

174. m130230103.png ; $- ( K _ { X } + B )$ ; confidence 0.752

175. s09196011.png ; $\{ \pi ( i ) : \square i \in I _ { 0 } \}$ ; confidence 0.752

176. a0102006.png ; $A ] [ B$ ; confidence 0.752

177. a010210120.png ; $1$ ; confidence 0.751

178. a130240101.png ; $x$ ; confidence 0.751

179. h12015024.png ; $\operatorname { log } | \phi ( h ) | = \int \operatorname { log } | h | d$ ; confidence 0.751

180. a12022021.png ; $T$ ; confidence 0.750

181. c02311056.png ; $A ^ { G } = \{ \alpha \in A : g \alpha = \alpha \text { for all } g \in G \}$ ; confidence 0.750

182. f040850279.png ; $V _ { 1 } ^ { * }$ ; confidence 0.750

183. c02416048.png ; $O _ { A } = O _ { D } / J | _ { A }$ ; confidence 0.748

184. e12002093.png ; $\Sigma \Omega X \rightarrow X$ ; confidence 0.748

185. p07398067.png ; $F \otimes S ^ { m } E$ ; confidence 0.748

186. b01673033.png ; $r ^ { 3 } / v \ll 1$ ; confidence 0.747

187. c02014016.png ; $\Sigma _ { 12 } = \Sigma _ { 2 } ^ { T }$ ; confidence 0.747

188. v13011059.png ; $2 i$ ; confidence 0.747

189. p0746603.png ; $\left. \begin{array} { l l } { L - k E } & { M - k F } \\ { M - k F } & { N - k G } \end{array} \right| = 0$ ; confidence 0.746

190. a130240480.png ; $1 , \ldots , n _ { 1 }$ ; confidence 0.745

191. a11042053.png ; $K _ { 0 } ( A )$ ; confidence 0.745

192. b01729066.png ; $| \hat { \alpha } ( \xi ) | > | \hat { \alpha } ( \eta ) |$ ; confidence 0.745

193. c02293015.png ; $u ( x ) = w ( x _ { n } ) \operatorname { exp } i ( x _ { 1 } \xi _ { 1 } + \ldots + x _ { n - 1 } \xi _ { n - 1 } )$ ; confidence 0.744

194. a01020057.png ; $\mu$ ; confidence 0.744

195. b017330250.png ; $U ^ { N }$ ; confidence 0.743

196. f041940175.png ; $S \subset T$ ; confidence 0.743

197. g0453708.png ; $f ( z ) = e ^ { ( \alpha - i b ) z ^ { \rho } }$ ; confidence 0.743

198. m12011082.png ; $\Phi ( M ) \in Wh ( \pi _ { 1 } ( M ) )$ ; confidence 0.743

199. p07474068.png ; $q _ { i } R = 0$ ; confidence 0.743

200. t1200109.png ; $1$ ; confidence 0.742

201. f11018097.png ; $\| x \| _ { p } = \int _ { 0 } ^ { 1 } | x ( t ) | ^ { p } d t$ ; confidence 0.742

202. m13022026.png ; $T _ { e } = j - 744$ ; confidence 0.742

203. t09377067.png ; $\mathfrak { A } f$ ; confidence 0.742

204. a110010103.png ; $A x - b | \leq \Delta A | x | + \Delta b$ ; confidence 0.741

205. e03640030.png ; $2 - 2 g - l$ ; confidence 0.741

206. r0811301.png ; $c \approx 3.10 ^ { 10 } cm / se$ ; confidence 0.741

207. a010210108.png ; $m$ ; confidence 0.740

208. a130240444.png ; $N$ ; confidence 0.740

209. n06708019.png ; $y ( 0 ) = y ^ { \prime }$ ; confidence 0.740

210. s0901802.png ; $\square \ldots < t _ { - 1 } < t _ { 0 } \leq 0 < t _ { 1 } < t _ { 2 } < \ldots$ ; confidence 0.740

211. a012430100.png ; $I Y \subset O$ ; confidence 0.739

212. b11089088.png ; $\alpha ^ { i }$ ; confidence 0.739

213. f1200101.png ; $S h$ ; confidence 0.739

214. n06790027.png ; $\alpha + b = b + \alpha$ ; confidence 0.739

215. a110420169.png ; $K$ ; confidence 0.738

216. a130240485.png ; $B$ ; confidence 0.738

217. a130240219.png ; $I$ ; confidence 0.738

218. e11003020.png ; $f ( x _ { 0 } ) < \operatorname { inf } _ { x \in X } f ( x ) + \epsilon$ ; confidence 0.738

219. l0576408.png ; $\alpha _ { 1 } + n h _ { 1 }$ ; confidence 0.738

220. m13002013.png ; $F _ { A } = * D _ { A } \phi$ ; confidence 0.738

221. o07007051.png ; $W _ { n } = X _ { ( n n ) } - X _ { ( n 1 ) }$ ; confidence 0.738

222. a11042091.png ; $x \in G$ ; confidence 0.737

223. b130200163.png ; $\operatorname { lim } \mathfrak { g } ^ { \alpha } = 1$ ; confidence 0.737

224. i05023059.png ; $1 < m \leq n$ ; confidence 0.737

225. r08213015.png ; $\partial x ^ { i } / \partial v$ ; confidence 0.737

226. b01539030.png ; $= \int _ { X } d \mu ( x ) [ \int _ { \Theta } L ( \theta , \delta ( x ) ) p ( x | \theta ) \pi ( \theta ) d \nu ( \theta ) ]$ ; confidence 0.736

227. l05718018.png ; $x g$ ; confidence 0.734

228. m12025047.png ; $L C ^ { k - 1 }$ ; confidence 0.734

229. t12001040.png ; $\alpha = 1,2,3$ ; confidence 0.734

230. e03536090.png ; $\operatorname { Th } ( K _ { 1 } )$ ; confidence 0.733

231. f040820110.png ; $f _ { i } ( X ) = X _ { i } + \ldots$ ; confidence 0.733

232. a130240498.png ; $X _ { 3 } = ( 1 , - 1 )$ ; confidence 0.733

233. e0355309.png ; $\int \int _ { \Omega } ( \frac { \partial u } { \partial x } \frac { \partial v } { \partial x } + \frac { \partial u } { \partial y } \frac { \partial v } { \partial y } ) d x d y = - \int _ { \Omega } f v d x d y$ ; confidence 0.732

234. a130240122.png ; $t _ { 1 } , t _ { 2 } , \ldots$ ; confidence 0.731

235. a13024041.png ; $Y = X _ { 1 } B X _ { 2 } + E$ ; confidence 0.731

236. m12003057.png ; $\varepsilon ^ { * } ( M A D ) = 1 / 2$ ; confidence 0.731

237. m06495010.png ; $V _ { 1 } = \emptyset$ ; confidence 0.731

238. r08245049.png ; $( \alpha b ) \alpha = \alpha ( b \alpha )$ ; confidence 0.731

239. q07661012.png ; $N _ { A }$ ; confidence 0.730

240. a01024027.png ; $2$ ; confidence 0.729

241. c023250187.png ; $[ \sigma ] = [ \alpha _ { 1 } ^ { \alpha _ { 1 } } \ldots a _ { n } ^ { \alpha _ { n } } ]$ ; confidence 0.729

242. a130240524.png ; $Z _ { 12 } - Z _ { 13 } \Sigma _ { 33 } ^ { - 1 } \Sigma _ { 32 }$ ; confidence 0.727

243. a13013070.png ; $( \tau _ { l } )$ ; confidence 0.726

244. p07253081.png ; $d f ^ { j }$ ; confidence 0.726

245. l05772024.png ; $E ( \mu _ { n } / n )$ ; confidence 0.725

246. b130010103.png ; $V _ { n } = H _ { n } / \Gamma$ ; confidence 0.724

247. b0175307.png ; $P \{ \mu ( t + t _ { 0 } ) = j | \mu ( t _ { 0 } ) = i \}$ ; confidence 0.724

248. c0245107.png ; $P ( A | B ) = \frac { P ( A \cap B ) } { P ( B ) }$ ; confidence 0.724

249. m13025065.png ; $M _ { 3 } ( R ^ { n } ) = \{$ ; confidence 0.724

250. q07684029.png ; $P \{ X _ { n } \in \Delta \} \rightarrow 0$ ; confidence 0.724

251. i12006014.png ; $x < \varrho y$ ; confidence 0.723

252. z11001018.png ; $( f g f h )$ ; confidence 0.723

253. b01566081.png ; $1 - \frac { 2 } { \sqrt { 2 \pi } } \int _ { 0 } ^ { \alpha / T } e ^ { - z ^ { 2 } / 2 } d z = \frac { 2 } { \sqrt { 2 \pi } } \int _ { \alpha / \sqrt { T } } ^ { \infty } e ^ { - z ^ { 2 } / 2 } d z$ ; confidence 0.722

254. a01018025.png ; $| \operatorname { arg } ( s - s _ { 0 } ) | \leq \theta < \pi / 2$ ; confidence 0.721

255. a01018064.png ; $A _ { n }$ ; confidence 0.720

256. a01130060.png ; $\gamma m$ ; confidence 0.719

257. b12051051.png ; $x _ { + } = x _ { c } + \lambda d$ ; confidence 0.719

258. s09167062.png ; $S ( B _ { n } ^ { m } )$ ; confidence 0.719

259. c02721040.png ; $P ( x ) = \sum _ { j = 1 } ^ { \mu } L j ( x ) f ( x ^ { ( j ) } )$ ; confidence 0.718

260. j05425028.png ; $K ^ { * }$ ; confidence 0.718

261. b11076042.png ; $\partial ^ { k } f / \partial x : B ^ { m } \rightarrow B$ ; confidence 0.717

262. t09465066.png ; $\in M$ ; confidence 0.717

263. a1301306.png ; $Q ^ { ( n ) } : = Q _ { 0 } z ^ { n } + Q _ { 1 } z ^ { n - 1 } \ldots Q _ { n }$ ; confidence 0.716

264. l05961011.png ; $\frac { d w _ { N } } { d t } = \frac { \partial w _ { N } } { \partial t } + \sum _ { i = 1 } ^ { N } ( \frac { \partial w _ { N } } { \partial r _ { i } } \frac { d r _ { i } } { d t } + \frac { \partial w _ { N } } { \partial p _ { i } } \frac { d p _ { i } } { d t } ) = 0$ ; confidence 0.716

265. q076820110.png ; $\operatorname { lim } _ { t \rightarrow \infty } P \{ q ( t ) < x \sqrt { t } \} = \sqrt { \frac { 2 } { \pi } } \int _ { 0 } ^ { x / \sigma } e ^ { - u ^ { 2 } / 2 } d u$ ; confidence 0.716

266. r07738036.png ; $u _ { 0 } = 1$ ; confidence 0.716

267. a11042086.png ; $z \in G$ ; confidence 0.715

268. b12030060.png ; $0 \leq \lambda _ { 1 } ( \eta ) \leq \ldots \leq \lambda _ { m } ( \eta ) \leq \ldots \rightarrow \infty$ ; confidence 0.714

269. s08652091.png ; $| T | _ { p }$ ; confidence 0.714

270. d03002056.png ; $D x$ ; confidence 0.713

271. a01021033.png ; $31$ ; confidence 0.712

272. l05911046.png ; $\{ \phi _ { i } \} _ { i k }$ ; confidence 0.712

273. w120110153.png ; $\alpha _ { 2 k + 1 } \in L ^ { 1 } ( \Phi )$ ; confidence 0.712

274. a130240349.png ; $23$ ; confidence 0.711

275. a13013091.png ; $L : = P _ { 0 } \frac { d } { d x } + P _ { 1 } = \left( \begin{array} { c c } { - i } & { 0 } \\ { 0 } & { i } \end{array} \right) \frac { d } { d x } + \left( \begin{array} { c c } { 0 } & { q } \\ { r } & { 0 } \end{array} \right)$ ; confidence 0.711

276. a13024039.png ; $p \times p$ ; confidence 0.711

277. d120020131.png ; $= g ( \overline { u } _ { 1 } ) - \overline { q } = g ( \overline { u } _ { 1 } ) - v _ { M }$ ; confidence 0.711

278. l05877073.png ; $\operatorname { lm } A _ { * } = \mathfrak { g }$ ; confidence 0.711

279. n06708029.png ; $\left. \begin{array} { c } { B _ { n } ( y _ { n + 1 } ( 0 ) - y _ { n } ( 0 ) ) + B ( y _ { n } ( 0 ) ) = 0 } \\ { D _ { n } ( y _ { n + 1 } ( X ) - y _ { n } ( X ) ) + D ( y _ { n } ( X ) ) = 0 } \end{array} \right\}$ ; confidence 0.711

280. b01539031.png ; $x \in X , \delta ^ { * } ( x )$ ; confidence 0.710

281. a130240362.png ; $22$ ; confidence 0.710

282. t12015061.png ; $( \Delta ^ { \alpha } \xi ) ^ { \# } = \Delta ^ { - \overline { \alpha } } \xi ^ { \# }$ ; confidence 0.710

283. t094300134.png ; $\operatorname { Fix } ( T ) \subset \mathfrak { R }$ ; confidence 0.710

284. a110010219.png ; $\| \delta A \|$ ; confidence 0.710

285. a13024094.png ; $m$ ; confidence 0.709

286. l05700094.png ; $\equiv \lambda x y \cdot x$ ; confidence 0.709

287. s08602026.png ; $\overline { D ^ { + } } = D ^ { + } \cup \Gamma$ ; confidence 0.709

288. a130240233.png ; $\hat { \psi } = \sum _ { i = 1 } ^ { r } d _ { i } z _ { i }$ ; confidence 0.709

289. a011640155.png ; $p _ { g } \neq 1$ ; confidence 0.708

290. l05861083.png ; $C ^ { n } / \Gamma _ { 1 }$ ; confidence 0.708

291. a130240366.png ; $M _ { H } = Z _ { 1 } ^ { \prime } Z _ { 1 }$ ; confidence 0.707

292. a11001013.png ; $A \in R ^ { n \times n }$ ; confidence 0.707

293. a01021088.png ; $\omega _ { 1 }$ ; confidence 0.707

294. e037040161.png ; $A = A _ { 0 } ^ { * }$ ; confidence 0.706

295. a110010200.png ; $| \hat { \lambda } - \lambda _ { i } | = | \delta \lambda _ { i } |$ ; confidence 0.705

296. n06641020.png ; $x \in b M$ ; confidence 0.705

297. l12003046.png ; $T _ { E } : U \rightarrow U$ ; confidence 0.704

298. a12031019.png ; $M _ { sa }$ ; confidence 0.704

299. m062490165.png ; $\Lambda = \{ \omega : x _ { S } \in B \}$ ; confidence 0.703

300. t12001046.png ; $\lambda = \operatorname { dim } ( \delta ) - 1$ ; confidence 0.702

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/8. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/8&oldid=43869
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