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(AUTOMATIC EDIT of page 5 out of 11 with 300 lines: Updated image/latex database (currently 3083 images latexified; order by Confidence, ascending: False.)
 
(AUTOMATIC EDIT of page 5 out of 35 with 300 lines: Updated image/latex database (currently 10225 images latexified; order by Confidence, ascending: False.)
 
(7 intermediate revisions by the same user not shown)
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== List ==
 
== List ==
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1. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030870/d03087032.png ; $$\pi ( \chi )$$ ; confidence 0.978
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1. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450171.png ; $84 ( g - 1 )$ ; confidence 0.998
  
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2. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030870/d03087020.png ; $$C ^ { \infty } ( G )$$ ; confidence 0.980
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2. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011100/a01110056.png ; $\phi : L _ { 1 } \rightarrow L _ { 2 }$ ; confidence 0.998
  
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3. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110110/d11011084.png ; $$L \cup O$$ ; confidence 0.130
+
3. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002056.png ; $m = q ^ { 2 }$ ; confidence 0.998
  
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4. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110110/d11011051.png ; $$M _ { 1 } = H \cap _ { k \tau _ { S } } H ^ { \prime }$$ ; confidence 0.307
+
4. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a011460113.png ; $A ^ { p } ( X )$ ; confidence 0.998
  
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5. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130050/d13005022.png ; $$m - 2 r$$ ; confidence 1.000
+
5. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008031.png ; $\frac { f ^ { \prime } ( L ) } { f ( L ) } = \frac { g ^ { \prime } ( L ; m , s ) } { g ( L ; m , s ) }$ ; confidence 0.997
  
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6. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d130060103.png ; $$Z \in X$$ ; confidence 0.820
+
6. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110080/a11008031.png ; $R ( s ) = | \frac { r ( s ) - \sqrt { 1 - s ^ { 2 } } } { r ( s ) + \sqrt { 1 - s ^ { 2 } } } | , \quad s \in [ - 1,1 ]$ ; confidence 0.997
  
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7. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006091.png ; $$m _ { B } ( A ) = 0$$ ; confidence 0.968
+
7. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145081.png ; $( f ) + D \geq 0$ ; confidence 0.997
  
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8. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006089.png ; $$m B$$ ; confidence 0.535
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8. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690020.png ; $H ^ { 1 } ( C ^ { * } ) = Z ^ { 1 } / \rho$ ; confidence 0.997
  
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9. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031010/d03101088.png ; $$S ^ { 4 k - 1 }$$ ; confidence 0.950
+
9. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072670/p07267047.png ; $H ^ { 2 } ( F , O _ { F } ) = 0$ ; confidence 0.997
  
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10. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130080/d13008069.png ; $$H = C ^ { n }$$ ; confidence 0.847
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10. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110440/a11044012.png ; $f _ { 1 }$ ; confidence 0.997
  
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11. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130080/d130080108.png ; $$F \in Hol ( D )$$ ; confidence 0.805
+
11. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210144.png ; $\int R ( z , w ) d z = \int \omega$ ; confidence 0.997
  
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12. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031100/d0311001.png ; $$\zeta ( s ) = \sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { s } }$$ ; confidence 0.995
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12. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040156.png ; $0 \rightarrow E \times E \rightarrow J ( C ) \rightarrow A \rightarrow 0$ ; confidence 0.997
  
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13. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031250/d03125086.png ; $$\Omega _ { X / Y } ^ { 1 }$$ ; confidence 0.919
+
13. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054340/j05434023.png ; $C ^ { - 1 } A C$ ; confidence 0.997
  
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14. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031250/d03125044.png ; $$\phi : A \rightarrow A$$ ; confidence 0.991
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14. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600100.png ; $O _ { k }$ ; confidence 0.997
  
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15. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031280/d03128063.png ; $$s ^ { \prime } : Y ^ { \prime } \rightarrow X ^ { \prime }$$ ; confidence 0.953
+
15. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110250/a11025024.png ; $\beta \rightarrow \infty$ ; confidence 0.997
  
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16. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031280/d031280173.png ; $$R ^ { i } F = H ^ { i } \circ R ^ { * } F$$ ; confidence 0.941
+
16. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028084.png ; $c ( G ) = \Theta ( n \operatorname { log } n )$ ; confidence 0.997
  
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17. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031280/d03128077.png ; $$f t = g t$$ ; confidence 0.997
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17. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a130180149.png ; $n > 2$ ; confidence 0.997
  
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18. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031280/d031280129.png ; $$f : X ^ { \cdot } \rightarrow Y$$ ; confidence 0.209
+
18. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010700/a01070022.png ; $r ^ { 0 } = \beta$ ; confidence 0.997
  
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19. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031380/d031380303.png ; $$\Pi \stackrel { D } { 3 } = F _ { \sigma \delta }$$ ; confidence 0.232
+
19. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a01417057.png ; $K ( \Gamma )$ ; confidence 0.997
  
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20. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031380/d031380332.png ; $$E = N$$ ; confidence 0.995
+
20. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058520/l05852020.png ; $0 \leq i < m$ ; confidence 0.997
  
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21. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031380/d031380384.png ; $$\sum _ { \mathfrak { D } _ { 1 } ^ { 1 } } ( E \times N ^ { N } )$$ ; confidence 0.290
+
21. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a011460120.png ; $H ^ { * } ( X )$ ; confidence 0.997
  
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22. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031380/d031380296.png ; $$\sum _ { \sim } D _ { n + 1 } ^ { 0 }$$ ; confidence 0.204
+
22. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081030/r08103021.png ; $W _ { k } ( S , G ) = N ( S ) / Z ( S )$ ; confidence 0.997
  
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23. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031420/d0314205.png ; $$k [ ( T _ { i j } ) _ { 1 \leq i \leq d } ]$$ ; confidence 0.679
+
23. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022660/c02266044.png ; $0 \leq t < 1$ ; confidence 0.997
  
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24. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031470/d0314706.png ; $$| \hat { b } _ { n } | = 1$$ ; confidence 0.209
+
24. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095240/u09524045.png ; $X = F ^ { - 1 } Y$ ; confidence 0.997
  
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25. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031540/d03154015.png ; $$G r$$ ; confidence 0.809
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25. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830193.png ; $p + q - n$ ; confidence 0.997
  
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26. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130090/d13009046.png ; $$1 \leq u \leq \operatorname { exp } ( \operatorname { log } ( 3 / 5 ) - \epsilon _ { y } )$$ ; confidence 0.512
+
26. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010820/a01082059.png ; $\alpha : X \rightarrow G ( Y ^ { \prime } )$ ; confidence 0.997
  
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27. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130090/d13009024.png ; $$1 \leq u \leq 2$$ ; confidence 0.976
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27. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110070/e110070172.png ; $\alpha = - 1$ ; confidence 0.997
  
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28. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130090/d13009051.png ; $$u > 1$$ ; confidence 0.987
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28. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110330/a11033018.png ; $b = 100$ ; confidence 0.997
  
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29. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031680/d03168056.png ; $$q _ { 2 } \neq q _ { 1 }$$ ; confidence 0.828
+
29. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011480/a01148024.png ; $( x - c ) ^ { k }$ ; confidence 0.997
  
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30. 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
+
30. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a0102401.png ; $\int _ { z _ { 0 } } ^ { z _ { 1 } } R ( z , w ) d z$ ; confidence 0.997
  
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31. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031730/d03173088.png ; $$| u - v | \leq \operatorname { inf } _ { w ^ { \prime } \in K } | u - w |$$ ; confidence 0.210
+
31. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007090.png ; $- 1 \leq \alpha _ { i } < \beta _ { i } \leq 1$ ; confidence 0.997
  
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32. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031750/d03175051.png ; $$Z _ { h }$$ ; confidence 0.217
+
32. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110270/a1102705.png ; $K ( \pi , 1 )$ ; confidence 0.997
  
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33. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031750/d03175013.png ; $$\overline { G } = G + \Gamma$$ ; confidence 0.752
+
33. https://www.encyclopediaofmath.org/legacyimages/b/b111/b111040/b11104014.png ; $p = 3$ ; confidence 0.997
  
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34. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031770/d03177042.png ; $$t = t _ { 0 } = x _ { 0 } ( 0 )$$ ; confidence 0.983
+
34. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010063.png ; $C _ { W } ( X ) = C _ { 0 } ( X )$ ; confidence 0.997
  
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35. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830278.png ; $$u \leq \theta u$$ ; confidence 0.794
+
35. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121036.png ; $\operatorname { arg } ( z + \frac { \pi } { 3 } ) | \leq \pi - \epsilon$ ; confidence 0.997
  
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36. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830344.png ; $$\operatorname { rank } ( A _ { i } ) = \operatorname { rank } ( B _ { i } )$$ ; confidence 0.983
+
36. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640105.png ; $p _ { 12 } = 0$ ; confidence 0.997
  
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37. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830290.png ; $$A = \sum _ { i = 0 } ^ { d } A _ { i } u _ { A } ^ { i }$$ ; confidence 0.523
+
37. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055058.png ; $( X , \phi ) \sim ( X ^ { \prime } , \phi ^ { \prime } )$ ; confidence 0.997
  
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38. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830239.png ; $$G ( G / F _ { 1 } ) = G _ { 1 }$$ ; confidence 0.998
+
38. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010950/a010950129.png ; $\dot { x } ( t )$ ; confidence 0.997
  
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39. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830269.png ; $$\operatorname { ord } ( \theta ) = \sum e$$ ; confidence 0.833
+
39. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110070/k11007014.png ; $U \subseteq G / B$ ; confidence 0.997
  
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40. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830152.png ; $$G \neq 0$$ ; confidence 0.999
+
40. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120180/a12018083.png ; $t = 1$ ; confidence 0.997
  
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41. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830116.png ; $$\{ A \}$$ ; confidence 0.999
+
41. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a011380159.png ; $x + y = y + x$ ; confidence 0.997
  
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42. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830267.png ; $$\theta = \Pi _ { i } \partial _ { i } ^ { e _ { i } ^ { e _ { i } } }$$ ; confidence 0.142
+
42. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a1200808.png ; $c ( x ) > 0$ ; confidence 0.997
  
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43. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031850/d03185095.png ; $$x \neq \pm 1$$ ; confidence 0.956
+
43. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050150.png ; $= \prod _ { p \in P } ( 1 - | p | ^ { - z } ) ^ { - 1 } =$ ; confidence 0.997
  
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44. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031850/d03185088.png ; $$( \operatorname { sin } x ) ^ { \prime } = \operatorname { cos } x$$ ; confidence 1.000
+
44. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130220/a1302203.png ; $Z ( R )$ ; confidence 0.997
  
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45. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031850/d031850109.png ; $$( \frac { u } { v } ) ^ { \prime } = \frac { u ^ { \prime } v - u v ^ { \prime } } { v ^ { 2 } }$$ ; confidence 0.958
+
45. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013000/a013000105.png ; $A ( E )$ ; confidence 0.997
  
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46. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031850/d03185094.png ; $$( \operatorname { arccos } x ) ^ { \prime } = - 1 / \sqrt { 1 - x ^ { 2 } }$$ ; confidence 0.996
+
46. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797035.png ; $A _ { 0 } = K$ ; confidence 0.997
  
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47. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031890/d03189028.png ; $$\Delta \rightarrow 0$$ ; confidence 0.981
+
47. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590479.png ; $F ( x , y , \lambda )$ ; confidence 0.997
  
−
48. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031910/d03191048.png ; $$x _ { 2 } ( t )$$ ; confidence 0.998
+
48. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110350/a11035022.png ; $\phi _ { \lambda } ^ { 0 } = \phi _ { \lambda }$ ; confidence 0.997
  
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49. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031910/d0319107.png ; $$\dot { x } = f ( t )$$ ; confidence 0.623
+
49. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110070/a11007027.png ; $L _ { 1 } ( K , \mu )$ ; confidence 0.997
  
−
50. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031910/d03191051.png ; $$x _ { 1 } ( t _ { 0 } ) = x _ { 2 } ( t _ { 0 } )$$ ; confidence 0.998
+
50. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010298.png ; $f ( \lambda ) = e ^ { \lambda }$ ; confidence 0.997
  
−
51. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031920/d03192079.png ; $$0 < l < n$$ ; confidence 0.998
+
51. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010680/a01068031.png ; $k = 3$ ; confidence 0.997
  
−
52. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031930/d031930232.png ; $$= \Phi ( z ) \operatorname { exp } \{ \frac { z - t } { \pi } \int \int _ { S } \frac { A ( \zeta ) w ( \zeta ) + B ( \zeta ) \overline { w ( \zeta ) } } { ( \zeta - z ) ( \zeta - t ) w } d \xi d \eta \}$$ ; confidence 0.918
+
52. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872014.png ; $\Lambda _ { p } ( x , y )$ ; confidence 0.997
  
−
53. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031950/d03195029.png ; $$W _ { 2 } ^ { p }$$ ; confidence 0.986
+
53. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l05859028.png ; $f : G _ { 1 } \rightarrow G _ { 2 }$ ; confidence 0.997
  
−
54. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031950/d03195033.png ; $$L u = \operatorname { div } ( p ( x ) \operatorname { grad } u ) + q ( x ) u$$ ; confidence 0.840
+
54. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a01160033.png ; $6 = 2.3$ ; confidence 0.997
  
−
55. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031990/d031990131.png ; $$R _ { L } = H ( V )$$ ; confidence 0.569
+
55. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a01160026.png ; $( x + y \sqrt { D } ) ( x - y \sqrt { D } ) = 1$ ; confidence 0.997
  
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56. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032010/d03201064.png ; $$( x - x _ { 0 } ) / ( t - t _ { 0 } ) = u _ { 0 }$$ ; confidence 0.980
+
56. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010066.png ; $- \Delta$ ; confidence 0.997
  
−
57. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032010/d03201093.png ; $$n - m$$ ; confidence 0.998
+
57. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590457.png ; $\Phi _ { \mu } ( x , \lambda ) =$ ; confidence 0.997
  
−
58. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032010/d03201062.png ; $$\partial x / u = \partial t / 1$$ ; confidence 0.967
+
58. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120255.png ; $h ( \phi ) = k ( - \phi ) , \quad \sigma \leq \phi \leq 2 \pi$ ; confidence 0.997
  
−
59. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032060/d03206019.png ; $$\sum _ { n = 1 } ^ { \infty } | x _ { n } ( t ) |$$ ; confidence 0.933
+
59. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090153.png ; $\Lambda ^ { + } ( n )$ ; confidence 0.997
  
−
60. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032060/d03206068.png ; $$| x ( t ( t ) ) \| \leq \rho$$ ; confidence 0.117
+
60. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046067.png ; $P _ { \nu } ( x , h )$ ; confidence 0.997
  
−
61. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032100/d032100109.png ; $$\dot { x } ( t ) = A x ( t - h ) - D x ( t )$$ ; confidence 0.986
+
61. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007069.png ; $t \mapsto A ( t ) ^ { - 1 }$ ; confidence 0.997
  
−
62. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032070/d03207031.png ; $$2 \pi \alpha$$ ; confidence 0.461
+
62. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010680/a01068045.png ; $\{ 2 n - m \}$ ; confidence 0.997
  
−
63. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032110/d03211024.png ; $$z = \phi _ { i }$$ ; confidence 0.976
+
63. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240344.png ; $1 \times p$ ; confidence 0.997
  
−
64. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032130/d032130352.png ; $$s ^ { \prime } ( \Omega ^ { r } ( X ) )$$ ; confidence 0.911
+
64. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110070/a11007031.png ; $\Pi _ { p } ( H , H )$ ; confidence 0.997
  
−
65. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032130/d032130227.png ; $$\int _ { S } \omega$$ ; confidence 0.561
+
65. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011480/a011480119.png ; $p - m q$ ; confidence 0.997
  
−
66. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032130/d032130311.png ; $$\omega \in \Omega ^ { d } [ X ]$$ ; confidence 0.948
+
66. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120040/a12004010.png ; $x ( t ) \in D ( A )$ ; confidence 0.997
  
−
67. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032150/d032150132.png ; $$\hat { V }$$ ; confidence 0.359
+
67. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700253.png ; $H ^ { 2 } ( G , V ) = 0$ ; confidence 0.997
  
−
68. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032240/d03224071.png ; $$d \omega = d \square ^ { * } \omega = 0$$ ; confidence 0.954
+
68. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590429.png ; $p ( Z ) = 1 - \operatorname { dim } H ^ { 0 } ( Z , O _ { Z } ) + \operatorname { dim } H ^ { 1 } ( Z , O _ { Z } )$ ; confidence 0.997
  
−
69. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032250/d03225022.png ; $$\partial M$$ ; confidence 0.831
+
69. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005059.png ; $u ( t ) \in D ( A ( t ) )$ ; confidence 0.997
  
−
70. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032320/d03232015.png ; $$u _ { R } ^ { k } ( x ) = \sum _ { i = 1 } ^ { n } u _ { i } a _ { i } ^ { k } ( x )$$ ; confidence 0.362
+
70. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050120.png ; $t \mapsto A ( t )$ ; confidence 0.997
  
−
71. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032320/d03232034.png ; $$u ( x _ { i } )$$ ; confidence 0.997
+
71. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082021.png ; $B _ { 1 } \rightarrow B _ { 2 }$ ; confidence 0.997
  
−
72. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032330/d03233032.png ; $$r \in F$$ ; confidence 0.671
+
72. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010910/a0109108.png ; $\operatorname { lim } _ { t \rightarrow \infty } u ( t ) = u$ ; confidence 0.997
  
−
73. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032330/d03233040.png ; $$b _ { 0 }$$ ; confidence 0.363
+
73. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l058590188.png ; $f : U _ { 1 } \rightarrow U _ { 2 }$ ; confidence 0.997
  
−
74. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032330/d03233041.png ; $$r : h \rightarrow f ( x _ { 0 } + h ) - f ( x _ { 0 } ) - h _ { 0 } ( h )$$ ; confidence 0.388
+
74. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240489.png ; $s = k + 1$ ; confidence 0.997
  
−
75. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032360/d03236035.png ; $$\frac { \partial u } { \partial t } + u \frac { \partial u } { \partial x } = D \frac { \partial ^ { 2 } u } { \partial x ^ { 2 } }$$ ; confidence 0.994
+
75. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120291.png ; $\forall G \in O ^ { F }$ ; confidence 0.997
  
−
76. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032450/d032450444.png ; $$X _ { 1 } \cup X _ { 2 } = X$$ ; confidence 0.917
+
76. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a1302407.png ; $( m \times 1 )$ ; confidence 0.997
  
−
77. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032450/d032450146.png ; $$\operatorname { dim } X \times Y < \operatorname { dim } X + \operatorname { dim } Y$$ ; confidence 0.994
+
77. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110370/a11037055.png ; $k > 1$ ; confidence 0.997
  
−
78. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032450/d032450371.png ; $$\{ fd ( M )$$ ; confidence 0.531
+
78. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a01160094.png ; $K = k ( \theta )$ ; confidence 0.997
  
−
79. 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
+
79. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011820/a011820106.png ; $A \leq B$ ; confidence 0.997
  
−
80. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032450/d032450327.png ; $$< \operatorname { Gdim } L < 1 +$$ ; confidence 0.485
+
80. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011100/a01110077.png ; $f : A \rightarrow A$ ; confidence 0.997
  
−
81. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032480/d03248013.png ; $$d ( I ^ { n } ) = n$$ ; confidence 0.754
+
81. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007031.png ; $\| f ( t ) - f ( s ) \| \leq C _ { 1 } | t - s | ^ { \alpha } , \quad 0 \leq s \leq t \leq T$ ; confidence 0.997
  
−
82. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032490/d03249024.png ; $$s \in Z$$ ; confidence 0.983
+
82. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872075.png ; $( L , \pi )$ ; confidence 0.997
  
−
83. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032490/d03249026.png ; $$G$$ ; confidence 0.797
+
83. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058610/l05861013.png ; $\square ^ { t }$ ; confidence 0.997
  
−
84. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032600/d032600176.png ; $$w _ { N } ( \alpha ) \geq n$$ ; confidence 0.879
+
84. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007098.png ; $n ^ { 0 }$ ; confidence 0.997
  
−
85. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032610/d03261012.png ; $$y = y _ { 0 } - a n$$ ; confidence 0.836
+
85. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016540/b0165403.png ; $U ( G )$ ; confidence 0.997
  
−
86. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032610/d0326107.png ; $$a x + b y = 1$$ ; confidence 0.602
+
86. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074720/p07472095.png ; $y = \gamma x$ ; confidence 0.997
  
−
87. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130130/d1301309.png ; $$z = r \operatorname { cos } \theta$$ ; confidence 0.866
+
87. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a130070127.png ; $2 < \frac { \sigma ( n ) } { n } < 2 + \frac { 2 } { 10 ^ { 10 } }$ ; confidence 0.997
  
−
88. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032890/d032890165.png ; $$\operatorname { li } x / \phi ( d )$$ ; confidence 0.594
+
88. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a11030044.png ; $\phi : ( T V , d ) \rightarrow ( T W , d )$ ; confidence 0.997
  
−
89. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032890/d03289066.png ; $$s = - 2 \nu - \delta$$ ; confidence 0.945
+
89. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145063.png ; $g = \frac { ( m - 1 ) ( m - 2 ) } { 2 }$ ; confidence 0.997
  
−
90. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120190/d1201904.png ; $$C _ { 0 } ^ { \infty } ( \Omega ) \subset L _ { 2 } ( \Omega )$$ ; confidence 0.992
+
90. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130120/a13012018.png ; $r \leq ( s ^ { 2 } \mu - 1 ) / ( \mu - 1 )$ ; confidence 0.997
  
−
91. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120180/d12018028.png ; $$H ^ { p } ( d \theta / 2 \pi )$$ ; confidence 0.994
+
91. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010129.png ; $x = A ^ { + } b$ ; confidence 0.997
  
−
92. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120180/d12018084.png ; $$C ( G )$$ ; confidence 1.000
+
92. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110370/a11037047.png ; $X ( 0 ) = 0$ ; confidence 0.997
  
−
93. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130170/d13017013.png ; $$0 < \lambda _ { 1 } ( \Omega ) \leq \lambda _ { 2 } ( \Omega ) \leq$$ ; confidence 0.992
+
93. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559027.png ; $\phi _ { 1 } ( 0 ) = \zeta$ ; confidence 0.997
  
−
94. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032920/d03292042.png ; $$\sigma > h$$ ; confidence 0.998
+
94. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001021.png ; $m = 4 n + 3$ ; confidence 0.997
  
−
95. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032920/d03292035.png ; $$s = 0$$ ; confidence 0.992
+
95. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t1200106.png ; $U ( ( m + 1 ) / 2 )$ ; confidence 0.997
  
−
96. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110220/d11022035.png ; $$L y = g$$ ; confidence 0.990
+
96. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010110.png ; $k > 7$ ; confidence 0.997
  
−
97. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110230/d11023041.png ; $$K = \overline { K } \cap L _ { m } ( G )$$ ; confidence 0.866
+
97. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042067.png ; $\alpha ( K _ { 0 } ( A ) ^ { + } ) = K _ { 0 } ( B ) ^ { + }$ ; confidence 0.997
  
−
98. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033110/d03311036.png ; $$| \{ Z \} _ { n } | \rightarrow \infty$$ ; confidence 0.988
+
98. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042098.png ; $K _ { 1 } ( A ) = 0$ ; confidence 0.997
  
−
99. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033160/d03316011.png ; $$\sigma _ { i } ^ { z }$$ ; confidence 0.702
+
99. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001016.png ; $x + \delta x$ ; confidence 0.997
  
−
100. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033180/d03318044.png ; $$e ( B / A ) f ( B / A ) = n$$ ; confidence 0.996
+
100. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007083.png ; $H ( x ) > ( 1 - \varepsilon ) ( \operatorname { log } x ) ^ { 2 }$ ; confidence 0.997
  
−
101. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033180/d03318055.png ; $$f ( B / A ) = 1$$ ; confidence 0.999
+
101. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081095.png ; $\lambda \neq \mu$ ; confidence 0.997
  
−
102. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033190/d03319041.png ; $$t _ { 8 } + 1 / 2 = t _ { n } + \tau / 2$$ ; confidence 0.248
+
102. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011690/a01169071.png ; $L _ { \Omega }$ ; confidence 0.997
  
−
103. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033210/d03321058.png ; $$R _ { 2 } : x ^ { \prime } \Sigma ^ { - 1 } ( \mu ^ { ( 1 ) } - \mu ^ { ( 2 ) } ) +$$ ; confidence 0.981
+
103. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012090/a01209091.png ; $N ( R ) \neq 0$ ; confidence 0.997
  
−
104. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033280/d03328018.png ; $$x d y$$ ; confidence 0.999
+
104. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013570/a01357020.png ; $g ( u ) d u$ ; confidence 0.997
  
−
105. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033340/d033340103.png ; $$\gamma$$ ; confidence 0.589
+
105. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539013.png ; $\delta ( x ) \in D$ ; confidence 0.997
  
−
106. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033340/d03334050.png ; $$c * x = \frac { 1 } { I J } \sum _ { i j } c _ { j } = \frac { 1 } { I } \sum _ { i } c _ { i } x = \frac { 1 } { J } \sum _ { j } c * j$$ ; confidence 0.068
+
106. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015540/b01554027.png ; $\phi = \Pi ^ { \prime } \Pi ^ { - 1 }$ ; confidence 0.997
  
−
107. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033340/d033340195.png ; $$\lambda _ { 3 } = K \sum _ { i j } \frac { \delta _ { i j } ^ { 2 } } { \sigma ^ { 2 } }$$ ; confidence 0.991
+
107. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016550/b01655040.png ; $\lambda _ { n } ( t ) = v$ ; confidence 0.997
  
−
108. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023063.png ; $$R = \sum _ { i = 0 } ^ { n - 1 } Z ^ { i } G J G ^ { * } Z ^ { * i } =$$ ; confidence 0.906
+
108. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023150/c023150291.png ; $\pi _ { n } ( E ) = \pi$ ; confidence 0.997
  
−
109. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d120230125.png ; $$T _ { 1 } T _ { 2 } ^ { - 1 } T _ { 3 }$$ ; confidence 0.997
+
109. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023150/c023150156.png ; $i ^ { * } ( \phi ) = 0$ ; confidence 0.997
  
−
110. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023076.png ; $$Z ^ { * }$$ ; confidence 0.508
+
110. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024100/c024100241.png ; $f : K \rightarrow K$ ; confidence 0.997
  
−
111. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023093.png ; $$| f _ { i } | < 1$$ ; confidence 0.997
+
111. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024540/c0245407.png ; $\dot { \phi } = \omega$ ; confidence 0.997
  
−
112. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023095.png ; $$R - F R F ^ { * } = G J G ^ { * }$$ ; confidence 0.996
+
112. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024780/c024780240.png ; $0 < \beta \leq 2 \pi$ ; confidence 0.997
  
−
113. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033420/d03342015.png ; $$\sigma _ { k }$$ ; confidence 0.198
+
113. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025130/c02513010.png ; $f _ { 2 } \circ f _ { 1 } ^ { - 1 }$ ; confidence 0.997
  
−
114. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033430/d03343022.png ; $$x \in D _ { B }$$ ; confidence 0.620
+
114. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025720/c02572060.png ; $x - y \in U$ ; confidence 0.997
  
−
115. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033460/d03346020.png ; $$| w - \beta _ { 0 } | = | \zeta _ { 0 } |$$ ; confidence 0.997
+
115. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026430/c02643025.png ; $F [ f ] = \frac { F [ g ] } { 1 - \sqrt { 2 \pi } F [ K ] }$ ; confidence 0.997
  
−
116. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033460/d033460124.png ; $$| F _ { 0 } ^ { \prime } ( \zeta _ { 0 } ) | \leq | F ^ { \prime } ( \zeta _ { 0 } ) | \leq | F _ { \pi / 2 } ^ { \prime } ( \zeta _ { 0 } ) |$$ ; confidence 0.854
+
116. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027180/c027180172.png ; $M _ { k } = C _ { k }$ ; confidence 0.997
  
−
117. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033460/d03346022.png ; $$\operatorname { ln } F ^ { \prime } ( \zeta _ { 0 } ) | \leq - \operatorname { ln } ( 1 - \frac { 1 } { | \zeta _ { 0 } | ^ { 2 } } )$$ ; confidence 0.488
+
117. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130020/d13002017.png ; $0 \leq k < 1$ ; confidence 0.997
  
−
118. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033530/d033530372.png ; $$d _ { n } \ll p _ { n } ^ { \theta }$$ ; confidence 0.957
+
118. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031280/d03128077.png ; $f t = g t$ ; confidence 0.997
  
−
119. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033530/d03353095.png ; $$\psi ( x ) = x - \sum _ { | \gamma | \leq T } \frac { x ^ { \rho } } { \rho } + O ( \frac { X } { T } \operatorname { log } ^ { 2 } x T + \operatorname { log } 2 x )$$ ; confidence 0.429
+
119. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032320/d03232034.png ; $u ( x _ { i } )$ ; confidence 0.997
  
−
120. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033530/d03353048.png ; $$\pi ( y ) - \operatorname { li } y > - M y \operatorname { log } ^ { - m } y$$ ; confidence 0.899
+
120. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d120230125.png ; $T _ { 1 } T _ { 2 } ^ { - 1 } T _ { 3 }$ ; confidence 0.997
  
−
121. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033530/d033530133.png ; $$\zeta ( \sigma + i t ) \neq 0$$ ; confidence 0.991
+
121. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023093.png ; $| f _ { i } | < 1$ ; confidence 0.997
  
−
122. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033570/d0335708.png ; $$\sum _ { i \in I } \prod _ { j \in J ( i ) } \alpha _ { i j } = \prod _ { \phi \in \Phi } \sum _ { i \in I } \alpha _ { i \phi ( i ) }$$ ; confidence 0.170
+
122. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033460/d03346020.png ; $| w - \beta _ { 0 } | = | \zeta _ { 0 } |$ ; confidence 0.997
  
−
123. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033570/d0335707.png ; $$\prod _ { i \in I } \sum _ { j \in J ( i ) } \alpha _ { i j } = \sum _ { \phi \in \Phi } \prod _ { i \in I } \alpha _ { i \phi ( i ) }$$ ; confidence 0.076
+
123. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033680/d03368022.png ; $[ A : F ] = [ L : F ] ^ { 2 }$ ; confidence 0.997
  
−
124. 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
+
124. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035500/e03550031.png ; $T ^ { * } X \backslash 0$ ; confidence 0.997
  
−
125. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130180/d13018035.png ; $$\| \hat { f } \| = \| f \| _ { 1 }$$ ; confidence 0.870
+
125. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130040/e13004035.png ; $( \Omega _ { + } - 1 ) \psi ( t ) = ( \Omega _ { + } - 1 ) g \psi ( t ) =$ ; confidence 0.997
  
−
126. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130180/d13018075.png ; $$A ( \vec { G } )$$ ; confidence 0.484
+
126. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036770/e03677085.png ; $A + 2$ ; confidence 0.997
  
−
127. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130180/d13018088.png ; $$\operatorname { lim } _ { n \rightarrow \infty } f g _ { n } = f$$ ; confidence 0.784
+
127. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110050/f11005019.png ; $q ( 0 ) \neq 0$ ; confidence 0.997
  
−
128. 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
+
128. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040850/f04085058.png ; $\sigma ( \alpha ) = \{ w \}$ ; confidence 0.997
  
−
129. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033680/d03368022.png ; $$[ A : F ] = [ L : F ] ^ { 2 }$$ ; confidence 0.997
+
129. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041060/f04106025.png ; $\phi \in C _ { 0 } ^ { \infty } ( \Omega )$ ; confidence 0.997
  
−
130. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033720/d03372075.png ; $$\sigma > 1 / 2$$ ; confidence 0.999
+
130. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041420/f04142082.png ; $D ( \lambda ) \neq 0$ ; confidence 0.997
  
−
131. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033720/d03372050.png ; $$\gamma _ { k } < \sigma < 1$$ ; confidence 0.998
+
131. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041420/f041420175.png ; $| \lambda | < B ^ { - 1 }$ ; confidence 0.997
  
−
132. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033790/d03379044.png ; $$\Delta _ { D } ( z )$$ ; confidence 0.999
+
132. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f12015043.png ; $\beta ( A ) < \infty$ ; confidence 0.997
  
−
133. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033790/d03379012.png ; $$D \backslash K$$ ; confidence 0.979
+
133. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041950/f041950110.png ; $f \in N ( \Delta )$ ; confidence 0.997
  
−
134. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033850/d0338502.png ; $$x \square ^ { j }$$ ; confidence 0.818
+
134. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110220/f11022029.png ; $A ^ { p } \geq ( A ^ { p / 2 } B ^ { p } A ^ { p / 2 } ) ^ { 1 / 2 }$ ; confidence 0.997
  
−
135. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033930/d0339309.png ; $$p _ { 1 } / p _ { 2 }$$ ; confidence 0.981
+
135. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043930/g0439304.png ; $m : A ^ { \prime } \rightarrow A$ ; confidence 0.997
  
−
136. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033990/d03399055.png ; $$y ^ { \prime } ( b ) + v ( b ) y ( b ) = \gamma ( b )$$ ; confidence 0.998
+
136. https://www.encyclopediaofmath.org/legacyimages/g/g110/g110180/g11018025.png ; $V _ { T } ^ { \prime } = \mu ( V _ { T } )$ ; confidence 0.997
  
−
137. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033990/d03399034.png ; $$y ^ { \prime } ( b ) + \psi y ( b ) = \beta$$ ; confidence 0.993
+
137. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g04509054.png ; $C = [ p ( \xi ) W ( \xi ) ] ^ { - 1 }$ ; confidence 0.997
  
−
138. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033980/d03398025.png ; $$\sum _ { m = 1 } ^ { \infty } u _ { m n n }$$ ; confidence 0.852
+
138. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h04769040.png ; $g x = y$ ; confidence 0.997
  
−
139. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120342.png ; $$O \subset A _ { R }$$ ; confidence 0.132
+
139. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h120120117.png ; $T ( H ( A ) )$ ; confidence 0.997
  
−
140. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120272.png ; $$A _ { 0 } ( G )$$ ; confidence 0.996
+
140. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110330/h11033039.png ; $n \leq s \leq 2 n - 2$ ; confidence 0.997
  
−
141. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120271.png ; $$\infty \in G$$ ; confidence 0.992
+
141. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048270/h04827072.png ; $f : \Omega \rightarrow B$ ; confidence 0.997
  
−
142. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120280/d120280147.png ; $$\overline { U }$$ ; confidence 0.299
+
142. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047512/h04751218.png ; $A = \operatorname { sup } _ { y \in E } A ( y ) < \infty$ ; confidence 0.997
  
−
143. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120280/d120280152.png ; $$A ( D ) ^ { * } \simeq A / B$$ ; confidence 0.981
+
143. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051620/i05162064.png ; $\frac { \partial } { \partial z } = \frac { 1 } { 2 } ( \frac { \partial } { \partial x } + i \frac { \partial } { \partial y } )$ ; confidence 0.997
  
−
144. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120290/d12029018.png ; $$f ( q ) = 1 / ( \sqrt { 5 } q ^ { 2 } )$$ ; confidence 1.000
+
144. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i130090126.png ; $\lambda _ { p } ( K / k ) = \lambda ( X )$ ; confidence 0.997
  
−
145. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120300/d1203009.png ; $$Y ( t ) \in R ^ { m }$$ ; confidence 0.934
+
145. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055100/k05510011.png ; $h = K \eta \leq 1 / 2$ ; confidence 0.997
  
−
146. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120320/d1203201.png ; $$T : L ^ { 1 } \rightarrow X$$ ; confidence 0.986
+
146. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120050/k12005074.png ; $m \geq m _ { 0 }$ ; confidence 0.997
  
−
147. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034260/d03426025.png ; $$\delta ( t )$$ ; confidence 1.000
+
147. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055340/k0553405.png ; $K _ { \mu }$ ; confidence 0.997
  
−
148. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034280/d03428088.png ; $$S _ { g } ( w _ { 0 } )$$ ; confidence 0.921
+
148. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057610/l05761040.png ; $U _ { 0 } = 1$ ; confidence 0.997
  
−
149. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120010/e1200103.png ; $$A \stackrel { f } { \rightarrow } B = A \stackrel { é } { \rightarrow } f [ A ] \stackrel { m } { \rightarrow } B$$ ; confidence 0.193
+
149. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057780/l057780113.png ; $\mu \approx 18.431$ ; confidence 0.997
  
−
150. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e12012065.png ; $$\propto \| \Sigma \| ^ { - 1 / 2 } [ \nu + ( y - \mu ) ^ { T } \Sigma ^ { - 1 } ( y - \mu ) ] ^ { - ( \nu + p ) / 2 }$$ ; confidence 0.904
+
150. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062550/m06255040.png ; $u ( y ) \geq 0$ ; confidence 0.997
  
−
151. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120020/e12002045.png ; $$T$$ ; confidence 0.914
+
151. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062610/m06261090.png ; $F ^ { \prime } = f$ ; confidence 0.997
  
−
152. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120020/e12002093.png ; $$\Sigma \Omega X \rightarrow X$$ ; confidence 0.748
+
152. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063460/m063460143.png ; $p \in P \backslash N$ ; confidence 0.997
  
−
153. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120020/e12002023.png ; $$74$$ ; confidence 0.496
+
153. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063800/m06380038.png ; $\theta _ { n } ( \partial \pi )$ ; confidence 0.997
  
−
154. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120020/e120020102.png ; $$V \not \equiv W$$ ; confidence 0.489
+
154. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064250/m064250142.png ; $d y / d s \geq 0$ ; confidence 0.997
  
−
155. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130020/e13002010.png ; $$\varphi$$ ; confidence 0.858
+
155. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064660/m06466019.png ; $C _ { \gamma } = C _ { \gamma _ { 1 } } C _ { \gamma _ { 2 } }$ ; confidence 0.997
  
−
156. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035110/e03511022.png ; $$\Sigma - 1$$ ; confidence 0.852
+
156. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073750/p073750105.png ; $e ( \xi \otimes C )$ ; confidence 0.997
  
−
157. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120050/e12005039.png ; $$h ^ { i } ( w ) = g ^ { i } ( w )$$ ; confidence 0.992
+
157. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130040/q13004038.png ; $K > 1$ ; confidence 0.997
  
−
158. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120060/e12006018.png ; $$T p ( A _ { y } ) = A$$ ; confidence 0.900
+
158. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081170/r08117020.png ; $B = B _ { 1 } \cup B _ { 2 }$ ; confidence 0.997
  
−
159. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120060/e12006038.png ; $$Y \rightarrow J ^ { 1 } Y$$ ; confidence 0.987
+
159. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081990/r08199034.png ; $D \cup \gamma$ ; confidence 0.997
  
−
160. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120070/e12007012.png ; $$\Gamma _ { q }$$ ; confidence 0.846
+
160. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130140/r1301406.png ; $\sigma ( R ) \backslash \lambda$ ; confidence 0.997
  
−
161. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035160/e0351605.png ; $$L ( u ) + \lambda u = 0$$ ; confidence 0.993
+
161. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083170/s08317053.png ; $m _ { i } = 0$ ; confidence 0.997
  
−
162. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035160/e03516059.png ; $$\frac { \partial } { \partial x } ( k _ { 1 } \frac { \partial u } { \partial x } ) + \frac { \partial } { \partial y } ( k _ { 2 } \frac { \partial u } { \partial y } ) + \lambda n = 0$$ ; confidence 0.519
+
162. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086450/s08645013.png ; $A _ { \delta }$ ; confidence 0.997
  
−
163. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035170/e03517056.png ; $$\| \hat { A } - A \| \leq \delta$$ ; confidence 0.245
+
163. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510126.png ; $\gamma ( u ) < \infty$ ; confidence 0.997
  
−
164. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035170/e03517077.png ; $$\overline { U _ { n } \in N A _ { n } ( B ) }$$ ; confidence 0.452
+
164. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087820/s08782077.png ; $| \frac { 1 } { 1 - H \lambda _ { i } } | < 1$ ; confidence 0.997
  
−
165. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e1300308.png ; $$\gamma = \left( \begin{array} { l l } { \alpha } & { b } \\ { c } & { d } \end{array} \right) \in GL _ { 2 } ( Q )$$ ; confidence 0.088
+
165. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090780/s09078074.png ; $\Phi ^ { \prime \prime } ( + 0 ) = - h$ ; confidence 0.997
  
−
166. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e13003029.png ; $$K _ { \infty }$$ ; confidence 0.984
+
166. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091390/s09139063.png ; $x _ { 1 } ^ { 2 } = 0$ ; confidence 0.997
  
−
167. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110030/e11003020.png ; $$f ( x _ { 0 } ) < \operatorname { inf } _ { x \in X } f ( x ) + \epsilon$$ ; confidence 0.738
+
167. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092470/t09247071.png ; $E _ { 1 } E _ { 2 } E _ { 3 }$ ; confidence 0.997
  
−
168. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035250/e035250110.png ; $$f = u _ { 1 } + i u _ { 2 }$$ ; confidence 0.994
+
168. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094600/t09460022.png ; $f _ { 0 } \neq 0$ ; confidence 0.997
  
−
169. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035250/e03525048.png ; $$0 < \sigma < 0.5$$ ; confidence 0.996
+
169. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094650/t09465036.png ; $( \phi \& \psi )$ ; confidence 0.997
  
−
170. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035250/e03525091.png ; $$z _ { k } \in L$$ ; confidence 0.875
+
170. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096040/v0960408.png ; $s ( r )$ ; confidence 0.997
  
−
171. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035250/e035250143.png ; $$\Delta \Delta w _ { 0 } = 0$$ ; confidence 0.903
+
171. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v1200207.png ; $f ^ { * } : H ^ { * } ( Y ) \rightarrow H ^ { * } ( X )$ ; confidence 0.997
  
−
172. 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
+
172. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097310/w09731010.png ; $\partial ^ { 2 } u / \partial x ^ { 2 } + \partial ^ { 2 } u / \partial y ^ { 2 } + k ^ { 2 } u = 0$ ; confidence 0.997
  
−
173. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e12010035.png ; $$f ^ { em } = 0 = \operatorname { div } t ^ { em } f - \frac { \partial G ^ { em f } } { \partial t }$$ ; confidence 0.071
+
173. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120170/w12017064.png ; $l \equiv 2 ( \operatorname { mod } 3 )$ ; confidence 0.997
  
−
174. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e12010055.png ; $$E ^ { \prime } = 0$$ ; confidence 0.985
+
174. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120180/w12018046.png ; $t _ { 1 } \in D ^ { - }$ ; confidence 0.997
  
−
175. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035320/e0353202.png ; $$\tau _ { i + 1 } - \tau _ { i }$$ ; confidence 0.970
+
175. https://www.encyclopediaofmath.org/legacyimages/w/w098/w098040/w09804013.png ; $p ( n + 1 ) / 2$ ; confidence 0.997
  
−
176. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035360/e03536067.png ; $$\langle P ^ { ( 2 ) } \rangle$$ ; confidence 0.899
+
176. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130050/z13005046.png ; $I = ( f )$ ; confidence 0.997
  
−
177. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035360/e03536090.png ; $$\operatorname { Th } ( K _ { 1 } )$$ ; confidence 0.733
+
177. https://www.encyclopediaofmath.org/legacyimages/z/z120/z120020/z12002043.png ; $1.609$ ; confidence 0.997
  
−
178. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110060/e11006015.png ; $$\Omega _ { * } ^ { SO }$$ ; confidence 0.644
+
178. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087080/s08708088.png ; $I ( T , \lambda )$ ; confidence 0.997
  
−
179. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035470/e03547029.png ; $$f ( z _ { 1 } + z _ { 2 } )$$ ; confidence 0.999
+
179. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110150/a11015023.png ; $\alpha ( S )$ ; confidence 0.997
  
−
180. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110070/e11007046.png ; $$C x ^ { - 1 }$$ ; confidence 0.834
+
180. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120313.png ; $E = G$ ; confidence 0.997
  
−
181. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110070/e110070191.png ; $$f ^ { \prime } ( 1 ) = \prod _ { n > 0 } ( \frac { 1 - q ^ { 2 n } } { 1 + q ^ { 2 n } } ) ^ { 2 }$$ ; confidence 0.893
+
181. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058470/l0584708.png ; $0 \leq i < n$ ; confidence 0.997
  
−
182. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110070/e11007067.png ; $$y ^ { 2 } = R ( x )$$ ; confidence 0.993
+
182. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010800/a01080026.png ; $= 2 \{ \omega ( [ U , Z ] ) - U \omega ( Z ) + Z \omega ( U ) \} B ( X , Y )$ ; confidence 0.997
  
−
183. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035490/e03549042.png ; $$u = - \int _ { z } ^ { \infty } \frac { d z } { w }$$ ; confidence 0.983
+
183. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120382.png ; $\phi ^ { * } ( z ) \in E ^ { 1 }$ ; confidence 0.997
  
−
184. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035500/e03550031.png ; $$T ^ { * } X \backslash 0$$ ; confidence 0.997
+
184. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121082.png ; $q = q ( x , \lambda )$ ; confidence 0.997
  
−
185. 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
+
185. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052350/i052350102.png ; $\pi : X \rightarrow W$ ; confidence 0.997
  
−
186. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035550/e035550163.png ; $$b _ { 2 } = 0$$ ; confidence 1.000
+
186. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110070/a11007038.png ; $( X ) < \infty$ ; confidence 0.997
  
−
187. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035550/e035550128.png ; $$\alpha ( X ) = \operatorname { tr } \operatorname { deg } M ( X )$$ ; confidence 0.949
+
187. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690082.png ; $H ^ { 1 } ( R _ { G } ( X ) )$ ; confidence 0.997
  
−
188. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035550/e03555010.png ; $$X _ { t } = m F$$ ; confidence 0.993
+
188. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120040/a1200403.png ; $D ( A )$ ; confidence 0.997
  
−
189. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035550/e03555028.png ; $$y ^ { 2 } = x ^ { 3 } - g x - g$$ ; confidence 0.962
+
189. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077630/r07763022.png ; $X ( T ) \otimes R$ ; confidence 0.997
  
−
190. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035560/e03556014.png ; $$y ^ { \prime } ( 0 ) = 0$$ ; confidence 0.990
+
190. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130120/a1301203.png ; $t - ( v , k , \lambda )$ ; confidence 0.997
  
−
191. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110080/e11008028.png ; $$P _ { n } ( f ) = \int _ { S } f d P _ { n } = \frac { 1 } { n } \sum _ { i = 1 } ^ { n } f ( X _ { i } )$$ ; confidence 0.394
+
191. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004016.png ; $\Gamma \backslash H ^ { * }$ ; confidence 0.997
  
−
192. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110080/e11008048.png ; $$B \circ F$$ ; confidence 0.974
+
192. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010710/a01071032.png ; $1 \leq i \leq n$ ; confidence 0.997
  
−
193. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035660/e03566053.png ; $$c ( n ) \| \mu \| _ { e } = \| U _ { \mu } \|$$ ; confidence 0.789
+
193. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008054.png ; $A ( t )$ ; confidence 0.997
  
−
194. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035660/e0356605.png ; $$U _ { \mu } ( x ) = \int H ( | x - y | ) d \mu ( y )$$ ; confidence 0.999
+
194. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120461.png ; $( F ^ { \prime } , F )$ ; confidence 0.997
  
−
195. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130040/e1300407.png ; $$U _ { 0 } ( t )$$ ; confidence 0.998
+
195. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010291.png ; $G ( A )$ ; confidence 0.997
  
−
196. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130040/e13004044.png ; $$( \Omega _ { + } - 1 ) ( g - g ) \psi ( t )$$ ; confidence 0.766
+
196. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150014.png ; $\theta = \int _ { 0 } ^ { \lambda } \frac { d x } { \sqrt { ( 1 - c ^ { 2 } x ^ { 2 } ) ( 1 - e ^ { 2 } x ^ { 2 } ) } }$ ; confidence 0.997
  
−
197. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130040/e13004035.png ; $$( \Omega _ { + } - 1 ) \psi ( t ) = ( \Omega _ { + } - 1 ) g \psi ( t ) =$$ ; confidence 0.997
+
197. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240503.png ; $j = 1,2,3$ ; confidence 0.997
  
−
198. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035720/e0357202.png ; $$\operatorname { lim } _ { k \rightarrow \infty } | \alpha _ { k } | ^ { 1 / k } = 0$$ ; confidence 0.823
+
198. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010082.png ; $\int w f d \mu = f ( x )$ ; confidence 0.997
  
−
199. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035760/e0357604.png ; $$f : W \rightarrow R$$ ; confidence 0.920
+
199. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010272.png ; $B = A ^ { T }$ ; confidence 0.997
  
−
200. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035790/e03579057.png ; $$\sum _ { n } ^ { - 1 }$$ ; confidence 0.820
+
200. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110370/a11037050.png ; $c ( t - s ) X ( 1 ) + d ( t - s )$ ; confidence 0.997
  
−
201. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035800/e0358008.png ; $$\nu ( n ) = \alpha$$ ; confidence 0.430
+
201. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700185.png ; $H ^ { 1 } ( X _ { 0 } , T _ { X _ { 0 } } )$ ; confidence 0.997
  
−
202. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035810/e03581038.png ; $$\Phi \Psi$$ ; confidence 0.943
+
202. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010174.png ; $R = A ^ { T } - A ^ { T } A B$ ; confidence 0.997
  
−
203. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035810/e03581047.png ; $$\Psi ( A ) = A$$ ; confidence 0.999
+
203. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872023.png ; $( x , y ) \rightarrow [ x , y ] = x y - y x$ ; confidence 0.997
  
−
204. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120150/e12015019.png ; $$\frac { D \xi ^ { i } } { d t } = \frac { d \xi ^ { i } } { d t } + \frac { 1 } { 2 } g ^ { i } r \xi ^ { r }$$ ; confidence 0.338
+
204. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047700/h04770011.png ; $\phi : G \rightarrow X$ ; confidence 0.997
  
−
205. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120150/e12015070.png ; $$\lambda _ { 1 } = \lambda _ { 2 }$$ ; confidence 1.000
+
205. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097710/w0977105.png ; $W ( T , G ) = N _ { G } ( T ) / Z _ { G } ( T )$ ; confidence 0.997
  
−
206. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120150/e12015064.png ; $$P _ { 1 } ^ { 1 } = \frac { 1 } { 4 } p ^ { 2 } + \frac { 1 } { 2 } \dot { p } - q = I$$ ; confidence 0.914
+
206. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h04769094.png ; $\Gamma \subset G$ ; confidence 0.997
  
−
207. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036070/e03607020.png ; $$\tau _ { n } ^ { ( B ) }$$ ; confidence 0.845
+
207. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002058.png ; $m = 3 ^ { t }$ ; confidence 0.997
  
−
208. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110100/e11010022.png ; $$o ( G )$$ ; confidence 0.990
+
208. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830346.png ; $( A _ { k } ) < \operatorname { rank } ( B _ { k } )$ ; confidence 0.997
  
−
209. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036120/e03612012.png ; $$m ( M )$$ ; confidence 0.999
+
209. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014190/a01419020.png ; $\phi ( t )$ ; confidence 0.997
  
−
210. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036230/e03623076.png ; $$2 d \geq n$$ ; confidence 0.758
+
210. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l058510181.png ; $0 \leq p \leq ( n + 1 ) / 2$ ; confidence 0.997
  
−
211. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036230/e036230210.png ; $$R ( \delta ) = 1 - H ( \delta )$$ ; confidence 1.000
+
211. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a01146072.png ; $\gamma ( Z ) = \gamma ( Z ^ { \prime } )$ ; confidence 0.997
  
−
212. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036230/e036230124.png ; $$k \geq n - i t$$ ; confidence 0.558
+
212. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012050.png ; $0 \leq y ^ { \prime } \leq y$ ; confidence 0.997
  
−
213. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036240/e03624043.png ; $$\sigma \approx s$$ ; confidence 0.994
+
213. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018050.png ; $s _ { 1 } = 1$ ; confidence 0.997
  
−
214. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120190/e12019037.png ; $$l _ { x }$$ ; confidence 0.196
+
214. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120030/k12003011.png ; $\operatorname { Ric } ( \omega ) = 0$ ; confidence 0.997
  
−
215. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036400/e03640030.png ; $$2 - 2 g - l$$ ; confidence 0.741
+
215. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004078.png ; $h ( \varphi ) \in F$ ; confidence 0.997
  
−
216. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036400/e03640033.png ; $$2 - m - 1$$ ; confidence 0.994
+
216. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164058.png ; $\pi = \{ ( D ^ { 2 } ) + ( D K _ { V } ) \} / 2 + 1$ ; confidence 0.997
  
−
217. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036530/e03653023.png ; $$t h$$ ; confidence 0.989
+
217. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a011300124.png ; $\Delta _ { 1 } ( t )$ ; confidence 0.997
  
−
218. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023072.png ; $$E ^ { \alpha } ( L ) ( \sigma ^ { 2 } ( x ) ) = 0$$ ; confidence 0.682
+
218. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017018.png ; $K ( t ) = \beta ( t ) \Pi ( t )$ ; confidence 0.997
  
−
219. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023094.png ; $$\sigma ^ { k } : M \rightarrow E ^ { k }$$ ; confidence 0.958
+
219. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l058720136.png ; $m = n , n + 1,2 n$ ; confidence 0.997
  
−
220. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023045.png ; $$\therefore M \rightarrow F$$ ; confidence 0.313
+
220. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450158.png ; $g < 11$ ; confidence 0.997
  
−
221. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e1202308.png ; $$M = \overline { U }$$ ; confidence 0.999
+
221. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110380/a11038042.png ; $\approx 0$ ; confidence 0.997
  
−
222. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230115.png ; $$E ( L ) = E ^ { d } ( L ) \omega ^ { \alpha } \bigotimes \Delta$$ ; confidence 0.101
+
222. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120200/a12020090.png ; $P ( T ) \in J$ ; confidence 0.997
  
−
223. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230111.png ; $$E ( L )$$ ; confidence 0.960
+
223. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110080/a11008015.png ; $x = 0$ ; confidence 0.997
  
−
224. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023058.png ; $$E ( L ) = \frac { \partial L } { \partial y } - D ( \frac { \partial L } { \partial y ^ { \prime } } )$$ ; confidence 0.989
+
224. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054270/j05427034.png ; $F _ { n } ^ { ( + ) }$ ; confidence 0.997
  
−
225. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023061.png ; $$L \mapsto E ( L )$$ ; confidence 0.892
+
225. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070010/o07001029.png ; $U \subset X / G$ ; confidence 0.997
  
−
226. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120240/e12024025.png ; $$K ( L )$$ ; confidence 0.907
+
226. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110330/a11033039.png ; $0.78 / \sqrt { b }$ ; confidence 0.997
  
−
227. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036620/e03662025.png ; $$Q _ { n - j } ( z ) \equiv 0$$ ; confidence 0.981
+
227. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820210.png ; $F ( X , Y )$ ; confidence 0.997
  
−
228. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110130/e11013060.png ; $$p _ { x } ^ { * } = \lambda \operatorname { exp } ( - \lambda x )$$ ; confidence 0.974
+
228. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004027.png ; $\operatorname { deg } \lambda$ ; confidence 0.997
  
−
229. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036770/e03677085.png ; $$A + 2$$ ; confidence 0.997
+
229. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120180/a12018074.png ; $\Delta ^ { 2 }$ ; confidence 0.997
  
−
230. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036770/e03677073.png ; $$B = f ( A )$$ ; confidence 0.999
+
230. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082022.png ; $H ( B _ { 1 } ) \rightarrow H ( B _ { 2 } )$ ; confidence 0.997
  
−
231. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036770/e03677067.png ; $$\phi ^ { - 1 } ( b ) \cong P ^ { \prime } ( C )$$ ; confidence 0.866
+
231. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121049.png ; $\lambda > 0 , \lambda \rightarrow \infty$ ; confidence 0.997
  
−
232. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036770/e03677058.png ; $$P ^ { \prime } ( C )$$ ; confidence 0.802
+
232. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090248.png ; $\Phi = \Phi ^ { + } \cup \Phi ^ { - }$ ; confidence 0.997
  
−
233. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036770/e03677051.png ; $$f | _ { A } = \phi$$ ; confidence 0.668
+
233. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023470/c02347040.png ; $\{ R ^ { \alpha } : \alpha \in I \}$ ; confidence 0.997
  
−
234. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036820/e03682019.png ; $$B _ { \mu } ^ { 1 } \subset B \subset B _ { \mu } ^ { 2 }$$ ; confidence 0.646
+
234. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120030/k1200301.png ; $\operatorname { Ric } ( \omega )$ ; confidence 0.997
  
−
235. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036820/e03682038.png ; $$\tau \geq \zeta$$ ; confidence 0.994
+
235. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001019.png ; $\delta A$ ; confidence 0.997
  
−
236. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036840/e03684025.png ; $$A = \operatorname { lim } _ { n \rightarrow \infty } C _ { n } = ( 1 + \frac { 1 } { 4 } + \frac { 1 } { 16 } + \ldots ) C _ { 1 } = \frac { 4 } { 3 } C _ { 1 }$$ ; confidence 0.919
+
236. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b120150101.png ; $N \cup \{ 0 \}$ ; confidence 0.997
  
−
237. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036840/e03684018.png ; $$K ( B - C _ { N } ) > K ( B - A ) > D$$ ; confidence 0.579
+
237. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012540/a0125406.png ; $D = [ Z _ { G } ( S ) , Z _ { G } ( S ) ]$ ; confidence 0.997
  
−
238. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036840/e03684024.png ; $$C _ { n } = C _ { 1 } + \frac { 1 } { 4 } C _ { 1 } + \ldots + \frac { 1 } { 4 ^ { n - 1 } } C _ { 1 }$$ ; confidence 0.974
+
238. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005057.png ; $\| f ( t ) - f ( s ) \| \leq C _ { 1 } | t - s | ^ { \alpha } , \quad s , t \in [ 0 , T ]$ ; confidence 0.997
  
−
239. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036850/e03685016.png ; $$\overline { \Pi } _ { k } \subset \Pi _ { k + 1 }$$ ; confidence 0.606
+
239. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120304.png ; $A ( f ) = \int _ { \gamma } f ( z ) g ( z ) d z$ ; confidence 0.997
  
−
240. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120260/e12026092.png ; $$( L _ { \mu } ) ^ { p }$$ ; confidence 0.998
+
240. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120486.png ; $( F , \tau )$ ; confidence 0.997
  
−
241. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036910/e03691052.png ; $$z = \operatorname { ln } \alpha = \operatorname { ln } | \alpha | + i \operatorname { Arg } \alpha$$ ; confidence 0.857
+
241. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074640/p0746401.png ; $( P , B , G , \pi )$ ; confidence 0.997
  
−
242. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036910/e03691064.png ; $$( e ^ { z } 1 ) ^ { z } = e ^ { z } 1 ^ { z _ { 2 } }$$ ; confidence 0.053
+
242. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042065.png ; $( K _ { 0 } ( B ) , K _ { 0 } ( B ) ^ { + } , \Sigma ( B ) )$ ; confidence 0.997
  
−
243. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036910/e03691017.png ; $$a ^ { X } = e ^ { X \operatorname { ln } \alpha }$$ ; confidence 0.301
+
243. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a011370115.png ; $f , \overline { f } \in A$ ; confidence 0.997
  
−
244. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130060/e13006023.png ; $$z \in Z$$ ; confidence 0.973
+
244. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120269.png ; $f _ { n } ( z ) \rightarrow f ( z )$ ; confidence 0.997
  
−
245. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130070/e1300704.png ; $$S = o ( \# A )$$ ; confidence 0.908
+
245. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a014170113.png ; $f : X \rightarrow V$ ; confidence 0.997
  
−
246. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036940/e03694044.png ; $$p f$$ ; confidence 0.602
+
246. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830393.png ; $A = 0$ ; confidence 0.997
  
−
247. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e03696065.png ; $$y _ { j } \delta \theta$$ ; confidence 0.866
+
247. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b1202103.png ; $U ( \mathfrak { g } )$ ; confidence 0.997
  
−
248. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e036960205.png ; $$\nu - 1 / 2 \in Z$$ ; confidence 0.954
+
248. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l05851051.png ; $\beta ( H _ { \alpha } ) = \frac { 2 ( \alpha , \beta ) } { ( \alpha , \alpha ) } , \quad \alpha , \beta \in \Sigma$ ; confidence 0.997
  
−
249. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e036960198.png ; $$y ^ { \prime } + \alpha _ { 1 } y = 0$$ ; confidence 0.639
+
249. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640137.png ; $M = \operatorname { dim } \operatorname { Im } ( H ^ { 1 } ( V , E _ { \alpha } ) \rightarrow H ^ { 1 } ( V , T _ { V } ) )$ ; confidence 0.997
  
−
250. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036980/e03698026.png ; $$\alpha : G \rightarrow \operatorname { Aut } A$$ ; confidence 0.856
+
250. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r07764092.png ; $\operatorname { dim } X = 2$ ; confidence 0.997
  
−
251. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037040/e03704050.png ; $$n + = n - = n$$ ; confidence 0.228
+
251. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022091.png ; $p = 4$ ; confidence 0.997
  
−
252. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037040/e037040161.png ; $$A = A _ { 0 } ^ { * }$$ ; confidence 0.706
+
252. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040576.png ; $\frac { \varphi } { \square \varphi }$ ; confidence 0.997
  
−
253. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037040/e03704077.png ; $$\lambda < \alpha$$ ; confidence 0.600
+
253. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040270/f04027014.png ; $| G | = m n$ ; confidence 0.997
  
−
254. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037080/e03708021.png ; $$r > n$$ ; confidence 0.953
+
254. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018035.png ; $\sigma _ { 1 } - 1 < \beta < \sigma _ { 1 }$ ; confidence 0.997
  
−
255. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037080/e03708073.png ; $$x _ { i } ^ { 2 } = 0$$ ; confidence 0.840
+
255. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008086.png ; $s ^ { 2 } = ( R - m ) ( m - L )$ ; confidence 0.997
  
−
256. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037160/e03716049.png ; $$\Delta J =$$ ; confidence 0.998
+
256. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065570/m06557032.png ; $h ( X _ { 1 } ) = 0$ ; confidence 0.997
  
−
257. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037170/e03717072.png ; $$r < | z | < 1$$ ; confidence 0.987
+
257. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121059.png ; $S ( x , \alpha ) = \alpha x - x ^ { 3 } + O ( x ^ { 4 } ) \quad \text { as } x \rightarrow 0$ ; confidence 0.997
  
−
258. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037200/e037200118.png ; $$\gamma \geq 0$$ ; confidence 0.994
+
258. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110490/a11049015.png ; $R , R ^ { \prime } \in R _ { D }$ ; confidence 0.997
  
−
259. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120010/f1200101.png ; $$S h$$ ; confidence 0.739
+
259. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d03412091.png ; $H _ { r } ( R , X )$ ; confidence 0.997
  
−
260. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038060/f03806015.png ; $$V$$ ; confidence 0.996
+
260. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021041.png ; $( B _ { i j } )$ ; confidence 0.997
  
−
261. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130010/f13001030.png ; $$R _ { i } = F _ { q } [ x ] / ( f _ { i } )$$ ; confidence 0.671
+
261. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a01137054.png ; $| f ( x ) | < | f ( x _ { 0 } ) |$ ; confidence 0.997
  
−
262. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038130/f0381302.png ; $$G _ { i } = V _ { i } ( E + \Delta - V _ { i } ) ^ { - 1 }$$ ; confidence 0.998
+
262. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g13002048.png ; $\geq [ ( d + 1 ) / 2 ]$ ; confidence 0.997
  
−
263. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038220/f0382203.png ; $$K _ { X } ^ { - 1 }$$ ; confidence 0.918
+
263. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590453.png ; $f _ { \lambda } ( z ) = F ( z , \lambda )$ ; confidence 0.997
  
−
264. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038220/f03822036.png ; $$Q \subset P ^ { 4 }$$ ; confidence 0.991
+
264. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a1300706.png ; $\sigma ( n ) = 2 n$ ; confidence 0.997
  
−
265. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130040/f13004017.png ; $$d _ { k } = \operatorname { det } ( 1 - f _ { t } ^ { \prime } ( x _ { k } ) ) ^ { 1 / 2 }$$ ; confidence 0.976
+
265. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058680/l05868035.png ; $\Gamma _ { 0 } \subset M \subset \Gamma _ { 1 }$ ; confidence 0.997
  
−
266. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110050/f11005019.png ; $$q ( 0 ) \neq 0$$ ; confidence 0.997
+
266. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a01130061.png ; $\gamma _ { \sigma } : G ( k ) \rightarrow J$ ; confidence 0.997
  
−
267. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110050/f11005048.png ; $$w ( x ) = | f ( x ) | ^ { 2 }$$ ; confidence 1.000
+
267. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450251.png ; $g > 2$ ; confidence 0.997
  
−
268. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038380/f03838022.png ; $$C _ { 0 }$$ ; confidence 0.800
+
268. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120200/a12020077.png ; $T \in L _ { 0 } ( X )$ ; confidence 0.997
  
−
269. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120040/f1200408.png ; $$( + \infty ) - ( + \infty ) = - \infty - ( - \infty ) = - \infty$$ ; confidence 0.999
+
269. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a011210108.png ; $j = 1,2,3$ ; confidence 0.997
  
−
270. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038390/f038390152.png ; $$\alpha ^ { \lambda } = 1$$ ; confidence 0.972
+
270. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h0476904.png ; $G \times M$ ; confidence 0.996
  
−
271. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038390/f038390108.png ; $$q ( m ) = ( m ^ { p - 1 } - 1 ) / p$$ ; confidence 0.963
+
271. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011100/a01110047.png ; $A ^ { \prime } \subset A$ ; confidence 0.996
  
−
272. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038470/f03847048.png ; $$\tau _ { 0 } = 0$$ ; confidence 0.955
+
272. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110380/a110380142.png ; $K ( P , 3 = 3 )$ ; confidence 0.996
  
−
273. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038470/f03847049.png ; $$\tau _ { k + 1 } = t$$ ; confidence 0.410
+
273. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120030/k12003029.png ; $\operatorname { Ric } ( \omega ) = \omega$ ; confidence 0.996
  
−
274. 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
+
274. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005046.png ; $0 \leq \beta _ { i } < \alpha _ { i } \leq 2$ ; confidence 0.996
  
−
275. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130090/f1300908.png ; $$U _ { n } ( x ) = \frac { \alpha ^ { n } ( x ) - \beta ^ { n } ( x ) } { \alpha ( x ) - \beta ( x ) }$$ ; confidence 0.947
+
275. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040550/f04055046.png ; $F _ { \nu } ( V )$ ; confidence 0.996
  
−
276. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040080/f04008051.png ; $$P ^ { * } = \{ P _ { X } ^ { * } : x \in X \}$$ ; confidence 0.505
+
276. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062170/m06217010.png ; $Z ( A )$ ; confidence 0.996
  
−
277. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040080/f04008010.png ; $$F ^ { * } ( \theta | x ) = 1 - F ( x | \theta )$$ ; confidence 0.940
+
277. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052058.png ; $A ( h ) h ^ { - q }$ ; confidence 0.996
  
−
278. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f130100140.png ; $$G = T$$ ; confidence 0.991
+
278. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070010/o07001082.png ; $Y \mapsto A Y A ^ { - 1 }$ ; confidence 0.996
  
−
279. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f130100152.png ; $$v \in A _ { p } ( G )$$ ; confidence 0.412
+
279. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121014.png ; $v ( z ) = \frac { w _ { 1 } ( z ) - w _ { 2 } ( z ) } { 2 i } , \quad \overline { w _ { 1 } ( z ) } = w _ { 2 } ( z )$ ; confidence 0.996
  
−
280. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f13010016.png ; $$u \in C ^ { G }$$ ; confidence 0.438
+
280. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047700/h04770013.png ; $\psi \pi = \phi$ ; confidence 0.996
  
−
281. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f13010077.png ; $$\lambda ^ { p } ( M ^ { 1 } ( G ) )$$ ; confidence 0.996
+
281. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081072.png ; $y ( 0 ) + \alpha y ( 1 ) + \beta \dot { y } ( 1 ) = 0$ ; confidence 0.996
  
−
282. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040190/f04019037.png ; $$V ( x _ { 0 } )$$ ; confidence 0.998
+
282. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l058720130.png ; $+ 1 \equiv 0$ ; confidence 0.996
  
−
283. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040210/f04021064.png ; $$\phi ( \mathfrak { A } )$$ ; confidence 0.445
+
283. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040577.png ; $\frac { \varphi , \varphi \rightarrow \psi } { \psi }$ ; confidence 0.996
  
−
284. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040230/f040230100.png ; $$x _ { n } = n$$ ; confidence 0.849
+
284. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650433.png ; $B _ { \alpha } \subseteq B$ ; confidence 0.996
  
−
285. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040230/f040230157.png ; $$\Delta ^ { n } f ( x )$$ ; confidence 0.976
+
285. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150024.png ; $y ^ { 2 } = ( 1 - c ^ { 2 } x ^ { 2 } ) ( 1 - e ^ { 2 } x ^ { 2 } )$ ; confidence 0.996
  
−
286. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040230/f040230147.png ; $$\sum _ { \nu = 1 } ^ { k - 1 } \frac { B _ { \nu } } { \nu ! } \{ f ^ { \langle \nu - 1 \rangle } ( n ) - f ^ { \langle \nu - 1 \rangle } ( 0 ) \} + \frac { B _ { k } } { k ! } \sum _ { x = 0 } ^ { n - 1 } f ^ { ( k ) } ( x + \theta )$$ ; confidence 0.269
+
286. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110490/a11049039.png ; $y \in \operatorname { dom } D$ ; confidence 0.996
  
−
287. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040330/f04033018.png ; $$f ^ { - 1 } ( f ( x ) ) \cap U$$ ; confidence 0.998
+
287. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210137.png ; $F ( z , w ) = 0$ ; confidence 0.996
  
−
288. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040290/f04029031.png ; $$G / G 1$$ ; confidence 0.622
+
288. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590279.png ; $z \in D \backslash P$ ; confidence 0.996
  
−
289. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040390/f04039064.png ; $$y ^ { i } C _ { i j k } = 0$$ ; confidence 0.942
+
289. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011520/a0115207.png ; $g ( h x ) = ( g h ) x$ ; confidence 0.996
  
−
290. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040420/f04042034.png ; $$\Phi ( \Phi ( x ) ) = x$$ ; confidence 1.000
+
290. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015060.png ; $G = U ( n )$ ; confidence 0.996
  
−
291. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040520/f04052043.png ; $$| x - x _ { 0 } | \leq b$$ ; confidence 0.990
+
291. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640139.png ; $\operatorname { dim } _ { k } H ^ { 2 } ( V , E _ { \alpha } ) + \operatorname { dim } _ { k } H ^ { 2 } ( V , T _ { V } )$ ; confidence 0.996
  
−
292. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040580/f04058030.png ; $$| X$$ ; confidence 0.687
+
292. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010640/a01064014.png ; $k _ { 1 } = k _ { 2 } = 2$ ; confidence 0.996
  
−
293. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040580/f04058044.png ; $$\phi ( p )$$ ; confidence 0.999
+
293. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a11022070.png ; $\Omega = C _ { 0 } [ 0 , \infty )$ ; confidence 0.996
  
−
294. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040580/f04058066.png ; $$| A | = \int _ { R } | \alpha | 0$$ ; confidence 0.765
+
294. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110460/a11046031.png ; $A , \chi , \eta$ ; confidence 0.996
  
−
295. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040580/f04058050.png ; $$\frac { | \sigma _ { i } | } { ( \operatorname { diam } \sigma _ { i } ) ^ { n } } \geq \eta$$ ; confidence 0.891
+
295. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011100/a0111006.png ; $A \times A$ ; confidence 0.996
  
−
296. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040610/f04061036.png ; $$C ^ { b r } ( E ^ { n } )$$ ; confidence 0.943
+
296. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130120/a13012028.png ; $k = s \mu , v = s ^ { 2 } \mu , \lambda = \frac { s \mu - 1 } { \mu - 1 } , r = \frac { s ^ { 2 } \mu - 1 } { \mu - 1 }$ ; confidence 0.996
  
−
297. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040690/f04069050.png ; $$\Omega \in ( H ^ { \otimes 0 } ) _ { \alpha } \subset \Gamma ^ { \alpha } ( H )$$ ; confidence 0.995
+
297. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058480/l05848051.png ; $A _ { k } \subset A$ ; confidence 0.996
  
−
298. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040690/f04069087.png ; $$\{ \xi _ { f } : f \in H \}$$ ; confidence 0.998
+
298. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010840/a01084022.png ; $\phi ^ { * } : M ^ { * } \rightarrow L ^ { * }$ ; confidence 0.996
  
−
299. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040690/f04069072.png ; $$\alpha _ { \alpha } ^ { * } ( f ) \Omega = f$$ ; confidence 0.962
+
299. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007085.png ; $\delta \in ( 0 , \eta ) \cap ( 0 , \rho ]$ ; confidence 0.996
  
−
300. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110150/f11015067.png ; $$t \subset v$$ ; confidence 0.885
+
300. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050104.png ; $( t , s ) \in \Delta = \{ ( t , s ) : 0 \leq s \leq t \leq T \}$ ; confidence 0.996

Latest revision as of 09:58, 17 October 2019

List

1. a011450171.png ; $84 ( g - 1 )$ ; confidence 0.998

2. a01110056.png ; $\phi : L _ { 1 } \rightarrow L _ { 2 }$ ; confidence 0.998

3. a11002056.png ; $m = q ^ { 2 }$ ; confidence 0.998

4. a011460113.png ; $A ^ { p } ( X )$ ; confidence 0.998

5. a13008031.png ; $\frac { f ^ { \prime } ( L ) } { f ( L ) } = \frac { g ^ { \prime } ( L ; m , s ) } { g ( L ; m , s ) }$ ; confidence 0.997

6. a11008031.png ; $R ( s ) = | \frac { r ( s ) - \sqrt { 1 - s ^ { 2 } } } { r ( s ) + \sqrt { 1 - s ^ { 2 } } } | , \quad s \in [ - 1,1 ]$ ; confidence 0.997

7. a01145081.png ; $( f ) + D \geq 0$ ; confidence 0.997

8. n06690020.png ; $H ^ { 1 } ( C ^ { * } ) = Z ^ { 1 } / \rho$ ; confidence 0.997

9. p07267047.png ; $H ^ { 2 } ( F , O _ { F } ) = 0$ ; confidence 0.997

10. a11044012.png ; $f _ { 1 }$ ; confidence 0.997

11. a010210144.png ; $\int R ( z , w ) d z = \int \omega$ ; confidence 0.997

12. a110040156.png ; $0 \rightarrow E \times E \rightarrow J ( C ) \rightarrow A \rightarrow 0$ ; confidence 0.997

13. j05434023.png ; $C ^ { - 1 } A C$ ; confidence 0.997

14. a011600100.png ; $O _ { k }$ ; confidence 0.997

15. a11025024.png ; $\beta \rightarrow \infty$ ; confidence 0.997

16. a11028084.png ; $c ( G ) = \Theta ( n \operatorname { log } n )$ ; confidence 0.997

17. a130180149.png ; $n > 2$ ; confidence 0.997

18. a01070022.png ; $r ^ { 0 } = \beta$ ; confidence 0.997

19. a01417057.png ; $K ( \Gamma )$ ; confidence 0.997

20. l05852020.png ; $0 \leq i < m$ ; confidence 0.997

21. a011460120.png ; $H ^ { * } ( X )$ ; confidence 0.997

22. r08103021.png ; $W _ { k } ( S , G ) = N ( S ) / Z ( S )$ ; confidence 0.997

23. c02266044.png ; $0 \leq t < 1$ ; confidence 0.997

24. u09524045.png ; $X = F ^ { - 1 } Y$ ; confidence 0.997

25. d031830193.png ; $p + q - n$ ; confidence 0.997

26. a01082059.png ; $\alpha : X \rightarrow G ( Y ^ { \prime } )$ ; confidence 0.997

27. e110070172.png ; $\alpha = - 1$ ; confidence 0.997

28. a11033018.png ; $b = 100$ ; confidence 0.997

29. a01148024.png ; $( x - c ) ^ { k }$ ; confidence 0.997

30. a0102401.png ; $\int _ { z _ { 0 } } ^ { z _ { 1 } } R ( z , w ) d z$ ; confidence 0.997

31. a12007090.png ; $- 1 \leq \alpha _ { i } < \beta _ { i } \leq 1$ ; confidence 0.997

32. a1102705.png ; $K ( \pi , 1 )$ ; confidence 0.997

33. b11104014.png ; $p = 3$ ; confidence 0.997

34. a11010063.png ; $C _ { W } ( X ) = C _ { 0 } ( X )$ ; confidence 0.997

35. a01121036.png ; $\operatorname { arg } ( z + \frac { \pi } { 3 } ) | \leq \pi - \epsilon$ ; confidence 0.997

36. a011640105.png ; $p _ { 12 } = 0$ ; confidence 0.997

37. a01055058.png ; $( X , \phi ) \sim ( X ^ { \prime } , \phi ^ { \prime } )$ ; confidence 0.997

38. a010950129.png ; $\dot { x } ( t )$ ; confidence 0.997

39. k11007014.png ; $U \subseteq G / B$ ; confidence 0.997

40. a12018083.png ; $t = 1$ ; confidence 0.997

41. a011380159.png ; $x + y = y + x$ ; confidence 0.997

42. a1200808.png ; $c ( x ) > 0$ ; confidence 0.997

43. a130050150.png ; $= \prod _ { p \in P } ( 1 - | p | ^ { - z } ) ^ { - 1 } =$ ; confidence 0.997

44. a1302203.png ; $Z ( R )$ ; confidence 0.997

45. a013000105.png ; $A ( E )$ ; confidence 0.997

46. h04797035.png ; $A _ { 0 } = K$ ; confidence 0.997

47. s085590479.png ; $F ( x , y , \lambda )$ ; confidence 0.997

48. a11035022.png ; $\phi _ { \lambda } ^ { 0 } = \phi _ { \lambda }$ ; confidence 0.997

49. a11007027.png ; $L _ { 1 } ( K , \mu )$ ; confidence 0.997

50. a110010298.png ; $f ( \lambda ) = e ^ { \lambda }$ ; confidence 0.997

51. a01068031.png ; $k = 3$ ; confidence 0.997

52. l05872014.png ; $\Lambda _ { p } ( x , y )$ ; confidence 0.997

53. l05859028.png ; $f : G _ { 1 } \rightarrow G _ { 2 }$ ; confidence 0.997

54. a01160033.png ; $6 = 2.3$ ; confidence 0.997

55. a01160026.png ; $( x + y \sqrt { D } ) ( x - y \sqrt { D } ) = 1$ ; confidence 0.997

56. a12010066.png ; $- \Delta$ ; confidence 0.997

57. s085590457.png ; $\Phi _ { \mu } ( x , \lambda ) =$ ; confidence 0.997

58. d034120255.png ; $h ( \phi ) = k ( - \phi ) , \quad \sigma \leq \phi \leq 2 \pi$ ; confidence 0.997

59. w120090153.png ; $\Lambda ^ { + } ( n )$ ; confidence 0.997

60. a01046067.png ; $P _ { \nu } ( x , h )$ ; confidence 0.997

61. a12007069.png ; $t \mapsto A ( t ) ^ { - 1 }$ ; confidence 0.997

62. a01068045.png ; $\{ 2 n - m \}$ ; confidence 0.997

63. a130240344.png ; $1 \times p$ ; confidence 0.997

64. a11007031.png ; $\Pi _ { p } ( H , H )$ ; confidence 0.997

65. a011480119.png ; $p - m q$ ; confidence 0.997

66. a12004010.png ; $x ( t ) \in D ( A )$ ; confidence 0.997

67. d030700253.png ; $H ^ { 2 } ( G , V ) = 0$ ; confidence 0.997

68. s085590429.png ; $p ( Z ) = 1 - \operatorname { dim } H ^ { 0 } ( Z , O _ { Z } ) + \operatorname { dim } H ^ { 1 } ( Z , O _ { Z } )$ ; confidence 0.997

69. a12005059.png ; $u ( t ) \in D ( A ( t ) )$ ; confidence 0.997

70. a120050120.png ; $t \mapsto A ( t )$ ; confidence 0.997

71. f04082021.png ; $B _ { 1 } \rightarrow B _ { 2 }$ ; confidence 0.997

72. a0109108.png ; $\operatorname { lim } _ { t \rightarrow \infty } u ( t ) = u$ ; confidence 0.997

73. l058590188.png ; $f : U _ { 1 } \rightarrow U _ { 2 }$ ; confidence 0.997

74. a130240489.png ; $s = k + 1$ ; confidence 0.997

75. d034120291.png ; $\forall G \in O ^ { F }$ ; confidence 0.997

76. a1302407.png ; $( m \times 1 )$ ; confidence 0.997

77. a11037055.png ; $k > 1$ ; confidence 0.997

78. a01160094.png ; $K = k ( \theta )$ ; confidence 0.997

79. a011820106.png ; $A \leq B$ ; confidence 0.997

80. a01110077.png ; $f : A \rightarrow A$ ; confidence 0.997

81. a12007031.png ; $\| f ( t ) - f ( s ) \| \leq C _ { 1 } | t - s | ^ { \alpha } , \quad 0 \leq s \leq t \leq T$ ; confidence 0.997

82. l05872075.png ; $( L , \pi )$ ; confidence 0.997

83. l05861013.png ; $\square ^ { t }$ ; confidence 0.997

84. a13007098.png ; $n ^ { 0 }$ ; confidence 0.997

85. b0165403.png ; $U ( G )$ ; confidence 0.997

86. p07472095.png ; $y = \gamma x$ ; confidence 0.997

87. a130070127.png ; $2 < \frac { \sigma ( n ) } { n } < 2 + \frac { 2 } { 10 ^ { 10 } }$ ; confidence 0.997

88. a11030044.png ; $\phi : ( T V , d ) \rightarrow ( T W , d )$ ; confidence 0.997

89. a01145063.png ; $g = \frac { ( m - 1 ) ( m - 2 ) } { 2 }$ ; confidence 0.997

90. a13012018.png ; $r \leq ( s ^ { 2 } \mu - 1 ) / ( \mu - 1 )$ ; confidence 0.997

91. a110010129.png ; $x = A ^ { + } b$ ; confidence 0.997

92. a11037047.png ; $X ( 0 ) = 0$ ; confidence 0.997

93. s08559027.png ; $\phi _ { 1 } ( 0 ) = \zeta$ ; confidence 0.997

94. t12001021.png ; $m = 4 n + 3$ ; confidence 0.997

95. t1200106.png ; $U ( ( m + 1 ) / 2 )$ ; confidence 0.997

96. t120010110.png ; $k > 7$ ; confidence 0.997

97. a11042067.png ; $\alpha ( K _ { 0 } ( A ) ^ { + } ) = K _ { 0 } ( B ) ^ { + }$ ; confidence 0.997

98. a11042098.png ; $K _ { 1 } ( A ) = 0$ ; confidence 0.997

99. a11001016.png ; $x + \delta x$ ; confidence 0.997

100. a13007083.png ; $H ( x ) > ( 1 - \varepsilon ) ( \operatorname { log } x ) ^ { 2 }$ ; confidence 0.997

101. a01081095.png ; $\lambda \neq \mu$ ; confidence 0.997

102. a01169071.png ; $L _ { \Omega }$ ; confidence 0.997

103. a01209091.png ; $N ( R ) \neq 0$ ; confidence 0.997

104. a01357020.png ; $g ( u ) d u$ ; confidence 0.997

105. b01539013.png ; $\delta ( x ) \in D$ ; confidence 0.997

106. b01554027.png ; $\phi = \Pi ^ { \prime } \Pi ^ { - 1 }$ ; confidence 0.997

107. b01655040.png ; $\lambda _ { n } ( t ) = v$ ; confidence 0.997

108. c023150291.png ; $\pi _ { n } ( E ) = \pi$ ; confidence 0.997

109. c023150156.png ; $i ^ { * } ( \phi ) = 0$ ; confidence 0.997

110. c024100241.png ; $f : K \rightarrow K$ ; confidence 0.997

111. c0245407.png ; $\dot { \phi } = \omega$ ; confidence 0.997

112. c024780240.png ; $0 < \beta \leq 2 \pi$ ; confidence 0.997

113. c02513010.png ; $f _ { 2 } \circ f _ { 1 } ^ { - 1 }$ ; confidence 0.997

114. c02572060.png ; $x - y \in U$ ; confidence 0.997

115. c02643025.png ; $F [ f ] = \frac { F [ g ] } { 1 - \sqrt { 2 \pi } F [ K ] }$ ; confidence 0.997

116. c027180172.png ; $M _ { k } = C _ { k }$ ; confidence 0.997

117. d13002017.png ; $0 \leq k < 1$ ; confidence 0.997

118. d03128077.png ; $f t = g t$ ; confidence 0.997

119. d03232034.png ; $u ( x _ { i } )$ ; confidence 0.997

120. d120230125.png ; $T _ { 1 } T _ { 2 } ^ { - 1 } T _ { 3 }$ ; confidence 0.997

121. d12023093.png ; $| f _ { i } | < 1$ ; confidence 0.997

122. d03346020.png ; $| w - \beta _ { 0 } | = | \zeta _ { 0 } |$ ; confidence 0.997

123. d03368022.png ; $[ A : F ] = [ L : F ] ^ { 2 }$ ; confidence 0.997

124. e03550031.png ; $T ^ { * } X \backslash 0$ ; confidence 0.997

125. e13004035.png ; $( \Omega _ { + } - 1 ) \psi ( t ) = ( \Omega _ { + } - 1 ) g \psi ( t ) =$ ; confidence 0.997

126. e03677085.png ; $A + 2$ ; confidence 0.997

127. f11005019.png ; $q ( 0 ) \neq 0$ ; confidence 0.997

128. f04085058.png ; $\sigma ( \alpha ) = \{ w \}$ ; confidence 0.997

129. f04106025.png ; $\phi \in C _ { 0 } ^ { \infty } ( \Omega )$ ; confidence 0.997

130. f04142082.png ; $D ( \lambda ) \neq 0$ ; confidence 0.997

131. f041420175.png ; $| \lambda | < B ^ { - 1 }$ ; confidence 0.997

132. f12015043.png ; $\beta ( A ) < \infty$ ; confidence 0.997

133. f041950110.png ; $f \in N ( \Delta )$ ; confidence 0.997

134. f11022029.png ; $A ^ { p } \geq ( A ^ { p / 2 } B ^ { p } A ^ { p / 2 } ) ^ { 1 / 2 }$ ; confidence 0.997

135. g0439304.png ; $m : A ^ { \prime } \rightarrow A$ ; confidence 0.997

136. g11018025.png ; $V _ { T } ^ { \prime } = \mu ( V _ { T } )$ ; confidence 0.997

137. g04509054.png ; $C = [ p ( \xi ) W ( \xi ) ] ^ { - 1 }$ ; confidence 0.997

138. h04769040.png ; $g x = y$ ; confidence 0.997

139. h120120117.png ; $T ( H ( A ) )$ ; confidence 0.997

140. h11033039.png ; $n \leq s \leq 2 n - 2$ ; confidence 0.997

141. h04827072.png ; $f : \Omega \rightarrow B$ ; confidence 0.997

142. h04751218.png ; $A = \operatorname { sup } _ { y \in E } A ( y ) < \infty$ ; confidence 0.997

143. i05162064.png ; $\frac { \partial } { \partial z } = \frac { 1 } { 2 } ( \frac { \partial } { \partial x } + i \frac { \partial } { \partial y } )$ ; confidence 0.997

144. i130090126.png ; $\lambda _ { p } ( K / k ) = \lambda ( X )$ ; confidence 0.997

145. k05510011.png ; $h = K \eta \leq 1 / 2$ ; confidence 0.997

146. k12005074.png ; $m \geq m _ { 0 }$ ; confidence 0.997

147. k0553405.png ; $K _ { \mu }$ ; confidence 0.997

148. l05761040.png ; $U _ { 0 } = 1$ ; confidence 0.997

149. l057780113.png ; $\mu \approx 18.431$ ; confidence 0.997

150. m06255040.png ; $u ( y ) \geq 0$ ; confidence 0.997

151. m06261090.png ; $F ^ { \prime } = f$ ; confidence 0.997

152. m063460143.png ; $p \in P \backslash N$ ; confidence 0.997

153. m06380038.png ; $\theta _ { n } ( \partial \pi )$ ; confidence 0.997

154. m064250142.png ; $d y / d s \geq 0$ ; confidence 0.997

155. m06466019.png ; $C _ { \gamma } = C _ { \gamma _ { 1 } } C _ { \gamma _ { 2 } }$ ; confidence 0.997

156. p073750105.png ; $e ( \xi \otimes C )$ ; confidence 0.997

157. q13004038.png ; $K > 1$ ; confidence 0.997

158. r08117020.png ; $B = B _ { 1 } \cup B _ { 2 }$ ; confidence 0.997

159. r08199034.png ; $D \cup \gamma$ ; confidence 0.997

160. r1301406.png ; $\sigma ( R ) \backslash \lambda$ ; confidence 0.997

161. s08317053.png ; $m _ { i } = 0$ ; confidence 0.997

162. s08645013.png ; $A _ { \delta }$ ; confidence 0.997

163. s130510126.png ; $\gamma ( u ) < \infty$ ; confidence 0.997

164. s08782077.png ; $| \frac { 1 } { 1 - H \lambda _ { i } } | < 1$ ; confidence 0.997

165. s09078074.png ; $\Phi ^ { \prime \prime } ( + 0 ) = - h$ ; confidence 0.997

166. s09139063.png ; $x _ { 1 } ^ { 2 } = 0$ ; confidence 0.997

167. t09247071.png ; $E _ { 1 } E _ { 2 } E _ { 3 }$ ; confidence 0.997

168. t09460022.png ; $f _ { 0 } \neq 0$ ; confidence 0.997

169. t09465036.png ; $( \phi \& \psi )$ ; confidence 0.997

170. v0960408.png ; $s ( r )$ ; confidence 0.997

171. v1200207.png ; $f ^ { * } : H ^ { * } ( Y ) \rightarrow H ^ { * } ( X )$ ; confidence 0.997

172. w09731010.png ; $\partial ^ { 2 } u / \partial x ^ { 2 } + \partial ^ { 2 } u / \partial y ^ { 2 } + k ^ { 2 } u = 0$ ; confidence 0.997

173. w12017064.png ; $l \equiv 2 ( \operatorname { mod } 3 )$ ; confidence 0.997

174. w12018046.png ; $t _ { 1 } \in D ^ { - }$ ; confidence 0.997

175. w09804013.png ; $p ( n + 1 ) / 2$ ; confidence 0.997

176. z13005046.png ; $I = ( f )$ ; confidence 0.997

177. z12002043.png ; $1.609$ ; confidence 0.997

178. s08708088.png ; $I ( T , \lambda )$ ; confidence 0.997

179. a11015023.png ; $\alpha ( S )$ ; confidence 0.997

180. d034120313.png ; $E = G$ ; confidence 0.997

181. l0584708.png ; $0 \leq i < n$ ; confidence 0.997

182. a01080026.png ; $= 2 \{ \omega ( [ U , Z ] ) - U \omega ( Z ) + Z \omega ( U ) \} B ( X , Y )$ ; confidence 0.997

183. d034120382.png ; $\phi ^ { * } ( z ) \in E ^ { 1 }$ ; confidence 0.997

184. a01121082.png ; $q = q ( x , \lambda )$ ; confidence 0.997

185. i052350102.png ; $\pi : X \rightarrow W$ ; confidence 0.997

186. a11007038.png ; $( X ) < \infty$ ; confidence 0.997

187. n06690082.png ; $H ^ { 1 } ( R _ { G } ( X ) )$ ; confidence 0.997

188. a1200403.png ; $D ( A )$ ; confidence 0.997

189. r07763022.png ; $X ( T ) \otimes R$ ; confidence 0.997

190. a1301203.png ; $t - ( v , k , \lambda )$ ; confidence 0.997

191. s13004016.png ; $\Gamma \backslash H ^ { * }$ ; confidence 0.997

192. a01071032.png ; $1 \leq i \leq n$ ; confidence 0.997

193. a12008054.png ; $A ( t )$ ; confidence 0.997

194. d034120461.png ; $( F ^ { \prime } , F )$ ; confidence 0.997

195. a110010291.png ; $G ( A )$ ; confidence 0.997

196. a01150014.png ; $\theta = \int _ { 0 } ^ { \lambda } \frac { d x } { \sqrt { ( 1 - c ^ { 2 } x ^ { 2 } ) ( 1 - e ^ { 2 } x ^ { 2 } ) } }$ ; confidence 0.997

197. a130240503.png ; $j = 1,2,3$ ; confidence 0.997

198. a11010082.png ; $\int w f d \mu = f ( x )$ ; confidence 0.997

199. a110010272.png ; $B = A ^ { T }$ ; confidence 0.997

200. a11037050.png ; $c ( t - s ) X ( 1 ) + d ( t - s )$ ; confidence 0.997

201. d030700185.png ; $H ^ { 1 } ( X _ { 0 } , T _ { X _ { 0 } } )$ ; confidence 0.997

202. a110010174.png ; $R = A ^ { T } - A ^ { T } A B$ ; confidence 0.997

203. l05872023.png ; $( x , y ) \rightarrow [ x , y ] = x y - y x$ ; confidence 0.997

204. h04770011.png ; $\phi : G \rightarrow X$ ; confidence 0.997

205. w0977105.png ; $W ( T , G ) = N _ { G } ( T ) / Z _ { G } ( T )$ ; confidence 0.997

206. h04769094.png ; $\Gamma \subset G$ ; confidence 0.997

207. a11002058.png ; $m = 3 ^ { t }$ ; confidence 0.997

208. d031830346.png ; $( A _ { k } ) < \operatorname { rank } ( B _ { k } )$ ; confidence 0.997

209. a01419020.png ; $\phi ( t )$ ; confidence 0.997

210. l058510181.png ; $0 \leq p \leq ( n + 1 ) / 2$ ; confidence 0.997

211. a01146072.png ; $\gamma ( Z ) = \gamma ( Z ^ { \prime } )$ ; confidence 0.997

212. a12012050.png ; $0 \leq y ^ { \prime } \leq y$ ; confidence 0.997

213. a01018050.png ; $s _ { 1 } = 1$ ; confidence 0.997

214. k12003011.png ; $\operatorname { Ric } ( \omega ) = 0$ ; confidence 0.997

215. a13004078.png ; $h ( \varphi ) \in F$ ; confidence 0.997

216. a01164058.png ; $\pi = \{ ( D ^ { 2 } ) + ( D K _ { V } ) \} / 2 + 1$ ; confidence 0.997

217. a011300124.png ; $\Delta _ { 1 } ( t )$ ; confidence 0.997

218. a12017018.png ; $K ( t ) = \beta ( t ) \Pi ( t )$ ; confidence 0.997

219. l058720136.png ; $m = n , n + 1,2 n$ ; confidence 0.997

220. a011450158.png ; $g < 11$ ; confidence 0.997

221. a11038042.png ; $\approx 0$ ; confidence 0.997

222. a12020090.png ; $P ( T ) \in J$ ; confidence 0.997

223. a11008015.png ; $x = 0$ ; confidence 0.997

224. j05427034.png ; $F _ { n } ^ { ( + ) }$ ; confidence 0.997

225. o07001029.png ; $U \subset X / G$ ; confidence 0.997

226. a11033039.png ; $0.78 / \sqrt { b }$ ; confidence 0.997

227. f040820210.png ; $F ( X , Y )$ ; confidence 0.997

228. a11004027.png ; $\operatorname { deg } \lambda$ ; confidence 0.997

229. a12018074.png ; $\Delta ^ { 2 }$ ; confidence 0.997

230. f04082022.png ; $H ( B _ { 1 } ) \rightarrow H ( B _ { 2 } )$ ; confidence 0.997

231. a01121049.png ; $\lambda > 0 , \lambda \rightarrow \infty$ ; confidence 0.997

232. w120090248.png ; $\Phi = \Phi ^ { + } \cup \Phi ^ { - }$ ; confidence 0.997

233. c02347040.png ; $\{ R ^ { \alpha } : \alpha \in I \}$ ; confidence 0.997

234. k1200301.png ; $\operatorname { Ric } ( \omega )$ ; confidence 0.997

235. a11001019.png ; $\delta A$ ; confidence 0.997

236. b120150101.png ; $N \cup \{ 0 \}$ ; confidence 0.997

237. a0125406.png ; $D = [ Z _ { G } ( S ) , Z _ { G } ( S ) ]$ ; confidence 0.997

238. a12005057.png ; $\| f ( t ) - f ( s ) \| \leq C _ { 1 } | t - s | ^ { \alpha } , \quad s , t \in [ 0 , T ]$ ; confidence 0.997

239. d034120304.png ; $A ( f ) = \int _ { \gamma } f ( z ) g ( z ) d z$ ; confidence 0.997

240. d034120486.png ; $( F , \tau )$ ; confidence 0.997

241. p0746401.png ; $( P , B , G , \pi )$ ; confidence 0.997

242. a11042065.png ; $( K _ { 0 } ( B ) , K _ { 0 } ( B ) ^ { + } , \Sigma ( B ) )$ ; confidence 0.997

243. a011370115.png ; $f , \overline { f } \in A$ ; confidence 0.997

244. d034120269.png ; $f _ { n } ( z ) \rightarrow f ( z )$ ; confidence 0.997

245. a014170113.png ; $f : X \rightarrow V$ ; confidence 0.997

246. d031830393.png ; $A = 0$ ; confidence 0.997

247. b1202103.png ; $U ( \mathfrak { g } )$ ; confidence 0.997

248. l05851051.png ; $\beta ( H _ { \alpha } ) = \frac { 2 ( \alpha , \beta ) } { ( \alpha , \alpha ) } , \quad \alpha , \beta \in \Sigma$ ; confidence 0.997

249. a011640137.png ; $M = \operatorname { dim } \operatorname { Im } ( H ^ { 1 } ( V , E _ { \alpha } ) \rightarrow H ^ { 1 } ( V , T _ { V } ) )$ ; confidence 0.997

250. r07764092.png ; $\operatorname { dim } X = 2$ ; confidence 0.997

251. a01022091.png ; $p = 4$ ; confidence 0.997

252. a130040576.png ; $\frac { \varphi } { \square \varphi }$ ; confidence 0.997

253. f04027014.png ; $| G | = m n$ ; confidence 0.997

254. a01018035.png ; $\sigma _ { 1 } - 1 < \beta < \sigma _ { 1 }$ ; confidence 0.997

255. a13008086.png ; $s ^ { 2 } = ( R - m ) ( m - L )$ ; confidence 0.997

256. m06557032.png ; $h ( X _ { 1 } ) = 0$ ; confidence 0.997

257. a01121059.png ; $S ( x , \alpha ) = \alpha x - x ^ { 3 } + O ( x ^ { 4 } ) \quad \text { as } x \rightarrow 0$ ; confidence 0.997

258. a11049015.png ; $R , R ^ { \prime } \in R _ { D }$ ; confidence 0.997

259. d03412091.png ; $H _ { r } ( R , X )$ ; confidence 0.997

260. a01021041.png ; $( B _ { i j } )$ ; confidence 0.997

261. a01137054.png ; $| f ( x ) | < | f ( x _ { 0 } ) |$ ; confidence 0.997

262. g13002048.png ; $\geq [ ( d + 1 ) / 2 ]$ ; confidence 0.997

263. s085590453.png ; $f _ { \lambda } ( z ) = F ( z , \lambda )$ ; confidence 0.997

264. a1300706.png ; $\sigma ( n ) = 2 n$ ; confidence 0.997

265. l05868035.png ; $\Gamma _ { 0 } \subset M \subset \Gamma _ { 1 }$ ; confidence 0.997

266. a01130061.png ; $\gamma _ { \sigma } : G ( k ) \rightarrow J$ ; confidence 0.997

267. a011450251.png ; $g > 2$ ; confidence 0.997

268. a12020077.png ; $T \in L _ { 0 } ( X )$ ; confidence 0.997

269. a011210108.png ; $j = 1,2,3$ ; confidence 0.997

270. h0476904.png ; $G \times M$ ; confidence 0.996

271. a01110047.png ; $A ^ { \prime } \subset A$ ; confidence 0.996

272. a110380142.png ; $K ( P , 3 = 3 )$ ; confidence 0.996

273. k12003029.png ; $\operatorname { Ric } ( \omega ) = \omega$ ; confidence 0.996

274. a12005046.png ; $0 \leq \beta _ { i } < \alpha _ { i } \leq 2$ ; confidence 0.996

275. f04055046.png ; $F _ { \nu } ( V )$ ; confidence 0.996

276. m06217010.png ; $Z ( A )$ ; confidence 0.996

277. a01052058.png ; $A ( h ) h ^ { - q }$ ; confidence 0.996

278. o07001082.png ; $Y \mapsto A Y A ^ { - 1 }$ ; confidence 0.996

279. a01121014.png ; $v ( z ) = \frac { w _ { 1 } ( z ) - w _ { 2 } ( z ) } { 2 i } , \quad \overline { w _ { 1 } ( z ) } = w _ { 2 } ( z )$ ; confidence 0.996

280. h04770013.png ; $\psi \pi = \phi$ ; confidence 0.996

281. a01081072.png ; $y ( 0 ) + \alpha y ( 1 ) + \beta \dot { y } ( 1 ) = 0$ ; confidence 0.996

282. l058720130.png ; $+ 1 \equiv 0$ ; confidence 0.996

283. a130040577.png ; $\frac { \varphi , \varphi \rightarrow \psi } { \psi }$ ; confidence 0.996

284. a011650433.png ; $B _ { \alpha } \subseteq B$ ; confidence 0.996

285. a01150024.png ; $y ^ { 2 } = ( 1 - c ^ { 2 } x ^ { 2 } ) ( 1 - e ^ { 2 } x ^ { 2 } )$ ; confidence 0.996

286. a11049039.png ; $y \in \operatorname { dom } D$ ; confidence 0.996

287. a010210137.png ; $F ( z , w ) = 0$ ; confidence 0.996

288. s085590279.png ; $z \in D \backslash P$ ; confidence 0.996

289. a0115207.png ; $g ( h x ) = ( g h ) x$ ; confidence 0.996

290. a12015060.png ; $G = U ( n )$ ; confidence 0.996

291. a011640139.png ; $\operatorname { dim } _ { k } H ^ { 2 } ( V , E _ { \alpha } ) + \operatorname { dim } _ { k } H ^ { 2 } ( V , T _ { V } )$ ; confidence 0.996

292. a01064014.png ; $k _ { 1 } = k _ { 2 } = 2$ ; confidence 0.996

293. a11022070.png ; $\Omega = C _ { 0 } [ 0 , \infty )$ ; confidence 0.996

294. a11046031.png ; $A , \chi , \eta$ ; confidence 0.996

295. a0111006.png ; $A \times A$ ; confidence 0.996

296. a13012028.png ; $k = s \mu , v = s ^ { 2 } \mu , \lambda = \frac { s \mu - 1 } { \mu - 1 } , r = \frac { s ^ { 2 } \mu - 1 } { \mu - 1 }$ ; confidence 0.996

297. l05848051.png ; $A _ { k } \subset A$ ; confidence 0.996

298. a01084022.png ; $\phi ^ { * } : M ^ { * } \rightarrow L ^ { * }$ ; confidence 0.996

299. a12007085.png ; $\delta \in ( 0 , \eta ) \cap ( 0 , \rho ]$ ; confidence 0.996

300. a120050104.png ; $( t , s ) \in \Delta = \{ ( t , s ) : 0 \leq s \leq t \leq T \}$ ; confidence 0.996

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/5. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/5&oldid=43812
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