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(AUTOMATIC EDIT of page 3 out of 11 with 300 lines: Updated image/latex database (currently 3083 images latexified; order by Confidence, ascending: False.)
(AUTOMATIC EDIT of page 3 out of 11 with 300 lines: Updated image/latex database (currently 3083 images latexified; order by Confidence, ascending: False.)
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== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014190/a01419047.png ; $t _ { + } < + \infty$ ; confidence 0.793
+
1. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057200/l0572001.png ; $T + V = h$ ; confidence 0.994
  
2. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a13032031.png ; $p < .5$ ; confidence 1.000
+
2. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058610/l05861031.png ; $Z \times T$ ; confidence 0.994
  
3. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a13032030.png ; $Y _ { i } = 2 X _ { i } - 1$ ; confidence 0.991
+
3. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120210/m12021026.png ; $\lambda K + t$ ; confidence 0.994
  
4. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014230/a0142305.png ; $\{ A \rangle$ ; confidence 0.294
+
4. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066360/n06636034.png ; $\{ x _ { \alpha } \} _ { \alpha \in \Sigma }$ ; confidence 0.994
  
5. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014300/a0143001.png ; $\epsilon - \delta$ ; confidence 0.998
+
5. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066440/n06644040.png ; $\sum _ { n = 0 } ^ { \infty } A ^ { n } f$ ; confidence 0.994
  
6. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014310/a01431097.png ; $| x$ ; confidence 0.207
+
6. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067840/n06784093.png ; $A \in L _ { \infty } ( H )$ ; confidence 0.994
  
7. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014310/a0143102.png ; $e$ ; confidence 0.314
+
7. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070310/o070310119.png ; $A \perp A ^ { T }$ ; confidence 0.994
  
8. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014310/a01431093.png ; $A ( \iota X A ( x ) )$ ; confidence 0.456
+
8. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072880/p07288011.png ; $\{ z _ { k } \} \subset \Delta$ ; confidence 0.994
  
9. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014310/a01431027.png ; $\exists x A$ ; confidence 0.894
+
9. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072930/p07293055.png ; $\sigma _ { 2 n } = 2 \pi ^ { n } / ( n - 1 ) !$ ; confidence 0.994
  
10. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110190/b11019019.png ; $x ^ { * } ( x ^ { * } y ) = x \wedge y$ ; confidence 0.991
+
10. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073340/p0733402.png ; $X ( t _ { 2 } ) - X ( t _ { 1 } )$ ; confidence 0.994
  
11. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110190/b11019030.png ; $( x ^ { * } y ) ^ { * } z = ( x ^ { * } z ) ^ { * } ( y ^ { * } z )$ ; confidence 0.974
+
11. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073930/p07393024.png ; $A / N _ { f }$ ; confidence 0.994
  
12. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b120210148.png ; $\mathfrak { p } \supset b$ ; confidence 0.356
+
12. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074720/p07472076.png ; $\gamma \in G$ ; confidence 0.994
  
13. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b12021067.png ; $( L ( \lambda ) )$ ; confidence 1.000
+
13. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075360/p0753601.png ; $X = \operatorname { Proj } ( R )$ ; confidence 0.994
  
14. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b120210104.png ; $\rho = ( 1 / 2 ) \sum _ { \alpha \in \Delta ^ { + } } \alpha$ ; confidence 0.628
+
14. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082290/r082290135.png ; $U : E \rightarrow M$ ; confidence 0.994
  
15. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b120210102.png ; $\{ \mu _ { i } \} _ { i = 1 } ^ { s - 1 } = \{ w . \lambda \} _ { w \in W ^ { ( k ) } }$ ; confidence 0.489
+
15. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085300/s08530020.png ; $c b = c$ ; confidence 0.994
  
16. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b12021075.png ; $\mathfrak { F } _ { \lambda }$ ; confidence 0.661
+
16. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091570/s09157097.png ; $T ^ { * } Y \backslash 0$ ; confidence 0.994
  
17. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110660/b11066023.png ; $L _ { p } ( R )$ ; confidence 0.962
+
17. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150169.png ; $F \in \gamma$ ; confidence 0.994
  
18. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130010/b13001099.png ; $\left( \begin{array} { l l } { A } & { B } \\ { C } & { D } \end{array} \right)$ ; confidence 0.965
+
18. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010130.png ; $b _ { 2 } \neq b _ { 6 }$ ; confidence 0.994
  
19. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130010/b13001094.png ; $V ^ { * } - V$ ; confidence 0.998
+
19. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539019.png ; $\rho ( \pi , \delta ) = \int _ { \Theta } \rho ( \theta , \delta ) \pi ( d \theta )$ ; confidence 0.993
  
20. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130010/b130010103.png ; $V _ { n } = H _ { n } / \Gamma$ ; confidence 0.724
+
20. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042070.png ; $K _ { 0 } ( \varphi ) = \alpha$ ; confidence 0.993
  
21. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015110/b01511064.png ; $\mu = \delta _ { X }$ ; confidence 0.951
+
21. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013055.png ; $L ( \Lambda _ { 0 } )$ ; confidence 0.993
  
22. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015110/b01511035.png ; $U ( y ) = \int _ { \Gamma } f ( x ) d \beta _ { Y } ( x )$ ; confidence 0.820
+
22. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240286.png ; $1 - \alpha$ ; confidence 0.993
  
23. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130020/b13002056.png ; $x \in J$ ; confidence 0.908
+
23. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420153.png ; $K _ { 0 } ( B ) ^ { + }$ ; confidence 0.993
  
24. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130030/b1300303.png ; $V ^ { \pm } \times V ^ { - } \times V ^ { \pm } \rightarrow V ^ { \pm }$ ; confidence 0.809
+
24. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042085.png ; $x _ { i } \leq y _ { j }$ ; confidence 0.993
  
25. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110100/b110100392.png ; $T _ { K } ( K )$ ; confidence 0.995
+
25. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650412.png ; $A _ { \alpha } \subseteq A$ ; confidence 0.993
  
26. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110100/b110100377.png ; $\frac { c _ { 1 } } { n } \leq ( | K | | K ^ { \circlearrowright } | ) ^ { 1 / n } \leq \frac { c _ { 2 } } { n }$ ; confidence 0.421
+
26. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120230/a1202303.png ; $f \in C ( \partial D )$ ; confidence 0.993
  
27. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110100/b11010099.png ; $\| T \| T ^ { - 1 } \| \geq c n$ ; confidence 0.835
+
27. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016170/b01617015.png ; $F _ { n } ( z _ { 0 } ) = 0$ ; confidence 0.993
  
28. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120040/b12004080.png ; $T : L _ { \infty } \rightarrow L _ { \infty }$ ; confidence 0.978
+
28. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017340/b017340100.png ; $n ^ { \prime } = - n + m - 1$ ; confidence 0.993
  
29. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120040/b12004018.png ; $| x _ { y } \| \rightarrow 0$ ; confidence 0.611
+
29. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b01747076.png ; $1 \rightarrow K ( n ) \rightarrow B ( n ) \rightarrow S ( n ) \rightarrow 1$ ; confidence 0.993
  
30. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110090/b1100902.png ; $l ^ { \infty } ( N )$ ; confidence 0.759
+
30. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290203.png ; $0 \leq i \leq d - 1$ ; confidence 0.993
  
31. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110130/b110130207.png ; $\left( \begin{array} { c } { y - p } \\ { \vdots } \\ { y - 1 } \\ { y _ { 0 } } \end{array} \right) = \Gamma ^ { - 1 } \left( \begin{array} { c } { 0 } \\ { \vdots } \\ { 0 } \\ { 1 } \end{array} \right)$ ; confidence 0.427
+
31. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020540/c020540177.png ; $\epsilon ( \sigma ) = 1$ ; confidence 0.993
  
32. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110130/b110130197.png ; $f ( \zeta ) > 0$ ; confidence 0.996
+
32. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120070/c12007011.png ; $1 \leq i \leq n - 1$ ; confidence 0.993
  
33. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110130/b11013099.png ; $m _ { 1 } \in M _ { 1 }$ ; confidence 0.998
+
33. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026010/c026010556.png ; $d y _ { t } = h ( x _ { t } ) d t + d w _ { t } ^ { 0 }$ ; confidence 0.993
  
34. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110130/b11013012.png ; $M _ { d } ^ { * } = M _ { d }$ ; confidence 0.900
+
34. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033990/d03399034.png ; $y ^ { \prime } ( b ) + \psi y ( b ) = \beta$ ; confidence 0.993
  
35. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110130/b110130209.png ; $v ( \lambda ) = ( y _ { 0 } + \lambda ^ { - 1 } y _ { - 1 } + \ldots + \lambda ^ { - p } y - p ) y _ { 0 } ^ { - 1 / 2 }$ ; confidence 0.241
+
35. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035160/e0351605.png ; $L ( u ) + \lambda u = 0$ ; confidence 0.993
  
36. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110130/b1101309.png ; $E _ { 2 }$ ; confidence 0.994
+
36. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110070/e11007067.png ; $y ^ { 2 } = R ( x )$ ; confidence 0.993
  
37. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015210/b01521049.png ; $\alpha \in S _ { \alpha }$ ; confidence 0.784
+
37. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035550/e03555010.png ; $X _ { t } = m F$ ; confidence 0.993
  
38. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015260/b0152609.png ; $D \cup \Gamma$ ; confidence 0.999
+
38. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041270/f04127048.png ; $D ( B ) \supset D ( A )$ ; confidence 0.993
  
39. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015280/b0152808.png ; $\lambda _ { 0 } + \ldots + \lambda _ { n } = 1$ ; confidence 0.986
+
39. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042070/f04207074.png ; $T _ { N } ( t )$ ; confidence 0.993
  
40. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015310/b01531023.png ; $X _ { s } = X \times s s$ ; confidence 0.533
+
40. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120030/h12003026.png ; $\operatorname { dim } M = 2$ ; confidence 0.993
  
41. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015350/b01535027.png ; $\alpha _ { i } \in \Omega$ ; confidence 0.833
+
41. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h12012026.png ; $f \phi = 0$ ; confidence 0.993
  
42. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015350/b015350372.png ; $\{ \xi _ { t } \}$ ; confidence 0.990
+
42. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055940/k05594036.png ; $\eta ( \epsilon ) \rightarrow 0$ ; confidence 0.993
  
43. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015350/b015350251.png ; $\{ \xi _ { t } ( s ) \}$ ; confidence 1.000
+
43. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058830/l05883068.png ; $- \Delta u + c u$ ; confidence 0.993
  
44. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015350/b015350300.png ; $\delta _ { i k } = 0$ ; confidence 0.900
+
44. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059350/l059350126.png ; $\dot { y } = - A ^ { T } ( t ) y$ ; confidence 0.993
  
45. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110160/b11016019.png ; $f ( x ) = a x + b$ ; confidence 0.931
+
45. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063460/m063460176.png ; $\psi _ { z } \neq 0$ ; confidence 0.993
  
46. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110160/b11016013.png ; $f ( n ) \equiv 0 ( \operatorname { mod } p )$ ; confidence 1.000
+
46. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067610/n06761056.png ; $( d \nu ) ( x _ { i } ) ( T _ { i } )$ ; confidence 0.993
  
47. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130060/b13006022.png ; $\| A \| _ { \infty }$ ; confidence 0.981
+
47. https://www.encyclopediaofmath.org/legacyimages/o/o110/o110070/o11007085.png ; $K _ { 10 }$ ; confidence 0.993
  
48. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130060/b13006060.png ; $b _ { i }$ ; confidence 0.854
+
48. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070240/o0702405.png ; $d W ( t ) / d t = W ^ { \prime } ( t )$ ; confidence 0.993
  
49. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130070/b13007015.png ; $\pi ( m )$ ; confidence 0.999
+
49. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075350/p07535038.png ; $d ( S )$ ; confidence 0.993
  
50. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015380/b0153803.png ; $A _ { i } \Gamma \cap A _ { j } = \emptyset$ ; confidence 0.946
+
50. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082200/r082200148.png ; $V ^ { \prime } = V ^ { \prime \prime } = R ^ { \prime } \cup R ^ { \prime \prime }$ ; confidence 0.993
  
51. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539034.png ; $\operatorname { inf } _ { d } \int _ { \Theta } L ( \theta , d ) \frac { p ( x | \theta ) \pi ( \theta ) } { p ( x ) } d \nu ( \theta )$ ; confidence 0.420
+
51. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082640/r0826403.png ; $A _ { k } = U _ { k } ^ { * } A _ { k - 1 } U _ { k }$ ; confidence 0.993
  
52. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539050.png ; $\theta = \theta _ { i }$ ; confidence 0.949
+
52. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559026.png ; $0 < \tau _ { 1 } \leq 1$ ; confidence 0.993
  
53. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539042.png ; $D = \{ d _ { 1 } , d _ { 2 } \}$ ; confidence 0.998
+
53. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087460/s08746026.png ; $\{ \epsilon _ { t } \}$ ; confidence 0.993
  
54. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539023.png ; $P _ { \theta } ( d x ) = p ( x | \theta ) d \mu ( x )$ ; confidence 0.550
+
54. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087640/s08764060.png ; $I = \{ f \in O ( X ) : f ( x ) = 0 \}$ ; confidence 0.993
  
55. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539013.png ; $\delta ( x ) \in D$ ; confidence 0.997
+
55. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093670/t09367039.png ; $\operatorname { lim } _ { \epsilon \rightarrow 0 } d ( E _ { \epsilon } ) = d ( E )$ ; confidence 0.993
  
56. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539045.png ; $\pi ( \theta _ { 1 } ) = \pi _ { 1 }$ ; confidence 0.999
+
56. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093710/t0937107.png ; $x = f ( \alpha )$ ; confidence 0.993
  
57. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539046.png ; $\pi ( \theta _ { 2 } ) = \pi _ { 2 }$ ; confidence 0.999
+
57. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094660/t09466020.png ; $\phi ( z ) = \frac { 1 - z ^ { 2 } } { z } f ( z ) \in C$ ; confidence 0.993
  
58. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b0153901.png ; $( X , B X )$ ; confidence 0.566
+
58. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090399.png ; $L ( \mu )$ ; confidence 0.993
  
59. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539056.png ; $\delta ^ { * } ( x ) = \left\{ \begin{array} { l l } { d _ { 1 } , } & { \text { if } \frac { p ( x | \theta _ { 2 } ) } { p ( x | \theta _ { 1 } ) } \leq \frac { \pi _ { 1 } } { \pi _ { 2 } } \frac { L _ { 12 } - L _ { 11 } } { L _ { 21 } - L _ { 22 } } } \\ { d _ { 2 } , } & { \text { if } \frac { p ( x | \theta _ { 2 } ) } { p ( x | \theta _ { 1 } ) } \geq \frac { \pi _ { 1 } } { \pi _ { 2 } } \frac { L _ { 12 } - L _ { 11 } } { L _ { 21 } - L _ { 22 } } } \end{array} \right.$ ; confidence 0.853
+
59. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120210/w12021059.png ; $B _ { m } = R$ ; confidence 0.993
  
60. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539036.png ; $\int _ { \Theta } L ( \theta , d ) \frac { p ( x | \theta ) \pi ( \theta ) } { p ( x ) } d \nu ( \theta ) = E [ L ( \theta , d ) | x ]$ ; confidence 0.885
+
60. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420108.png ; $\tau ( x y ) = \tau ( y x )$ ; confidence 0.993
  
61. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539019.png ; $\rho ( \pi , \delta ) = \int _ { \Theta } \rho ( \theta , \delta ) \pi ( d \theta )$ ; confidence 0.993
+
61. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b0153908.png ; $L ( \theta , d )$ ; confidence 0.992
  
62. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539022.png ; $\delta ^ { * } = \delta ^ { * } ( x )$ ; confidence 0.998
+
62. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539047.png ; $\pi _ { 1 } + \pi _ { 2 } = 1$ ; confidence 0.992
  
63. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539030.png ; $= \int _ { X } d \mu ( x ) [ \int _ { \Theta } L ( \theta , \delta ( x ) ) p ( x | \theta ) \pi ( \theta ) d \nu ( \theta ) ]$ ; confidence 0.736
+
63. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010079.png ; $( I + \lambda A )$ ; confidence 0.992
  
64. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b0153903.png ; $( \Theta , B _ { \Theta } )$ ; confidence 0.937
+
64. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010640/a01064015.png ; $k _ { 1 } = 2$ ; confidence 0.992
  
65. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539032.png ; $d ^ { x }$ ; confidence 0.785
+
65. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009080.png ; $| f ( z ) | < 1$ ; confidence 0.992
  
66. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539028.png ; $\int \int _ { \Theta } L ( \theta , \delta ( x ) ) P _ { \theta } ( d x ) \pi ( d \theta ) =$ ; confidence 0.604
+
66. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110570/b11057039.png ; $H _ { k } \circ \operatorname { exp } ( X _ { F } ) = \operatorname { exp } ( X _ { F } ) ( H _ { k } )$ ; confidence 0.992
  
67. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539043.png ; $L _ { i j } = L = ( \theta _ { i } , d _ { j } )$ ; confidence 0.694
+
67. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130170/b13017045.png ; $S _ { T }$ ; confidence 0.992
  
68. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539035.png ; $p ( x ) = \int _ { \Theta } p ( x | \theta ) \pi ( \theta ) d \nu ( \theta )$ ; confidence 0.972
+
68. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016810/b01681021.png ; $H = \sum _ { i } \frac { p _ { i } ^ { 2 } } { 2 m } + \sum _ { i } U ( r _ { i } )$ ; confidence 0.992
  
69. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539020.png ; $\rho ( \theta , \delta ) = \int _ { Y } L ( \theta , \delta ( x ) ) P _ { \theta } ( d x )$ ; confidence 0.192
+
69. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200102.png ; $\beta \neq - \alpha$ ; confidence 0.992
  
70. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539052.png ; $L _ { 22 } < L _ { 21 }$ ; confidence 0.945
+
70. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017350/b01735056.png ; $K ^ { + }$ ; confidence 0.992
  
71. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539053.png ; $\rho ( \pi , \delta ) = \int _ { X } [ \pi _ { 1 } p ( x | \theta _ { 1 } ) L ( \theta _ { 1 } , \delta ( x ) ) +$ ; confidence 0.977
+
71. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021600/c02160021.png ; $A$ ; confidence 0.992
  
72. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539057.png ; $\rho ( \theta , \delta )$ ; confidence 1.000
+
72. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c130070146.png ; $k ( C ^ { * } )$ ; confidence 0.992
  
73. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539047.png ; $\pi _ { 1 } + \pi _ { 2 } = 1$ ; confidence 0.992
+
73. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021850/c0218501.png ; $\tau = \tau ( E )$ ; confidence 0.992
  
74. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539029.png ; $= \int \int _ { \Theta } L ( \theta , \delta ( x ) ) p ( x | \theta ) \pi ( \theta ) d \mu ( x ) d \nu ( \theta ) =$ ; confidence 0.774
+
74. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027210/c02721080.png ; $N = \mu / ( n + 1 )$ ; confidence 0.992
  
75. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539040.png ; $E [ L ( \theta , d ) | x ]$ ; confidence 0.361
+
75. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120190/d1201904.png ; $C _ { 0 } ^ { \infty } ( \Omega ) \subset L _ { 2 } ( \Omega )$ ; confidence 0.992
  
76. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539018.png ; $\delta \rho ( \pi , \delta )$ ; confidence 0.650
+
76. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130170/d13017013.png ; $0 < \lambda _ { 1 } ( \Omega ) \leq \lambda _ { 2 } ( \Omega ) \leq$ ; confidence 0.992
  
77. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b0153907.png ; $( D , B _ { D } )$ ; confidence 0.999
+
77. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032920/d03292035.png ; $s = 0$ ; confidence 0.992
  
78. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539061.png ; $\rho ( \pi , \delta _ { \epsilon } ^ { * } ) \leq \operatorname { inf } _ { \delta } \rho ( \pi , \delta ) + \epsilon$ ; confidence 0.972
+
78. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120271.png ; $\infty \in G$ ; confidence 0.992
  
79. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539015.png ; $\pi = \pi ( d \theta )$ ; confidence 0.979
+
79. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120050/e12005039.png ; $h ^ { i } ( w ) = g ^ { i } ( w )$ ; confidence 0.992
  
80. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539011.png ; $\delta = \delta ( x )$ ; confidence 0.981
+
80. https://www.encyclopediaofmath.org/legacyimages/g/g110/g110050/g11005015.png ; $\nu < \kappa$ ; confidence 0.992
  
81. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539021.png ; $\rho ( \pi , \delta ^ { * } ) = \operatorname { inf } _ { \delta } \int _ { \Theta } \int _ { X } L ( \theta , \delta ( x ) ) P _ { \theta } ( d x ) \pi ( d \theta )$ ; confidence 0.586
+
81. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043350/g04335015.png ; $\beta = \frac { 1 } { \gamma - 1 }$ ; confidence 0.992
  
82. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539063.png ; $( \epsilon > 0 )$ ; confidence 0.999
+
82. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120030/g1200302.png ; $= \sum _ { \nu = 1 } ^ { n } \alpha _ { \nu } f ( x _ { \nu } ) + \sum _ { \mu = 1 } ^ { n + 1 } \beta _ { \mu } f ( \xi _ { \mu } )$ ; confidence 0.992
  
83. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539054.png ; $+ \pi _ { 2 } p ( x | \theta _ { 2 } ) L ( \theta _ { 2 } , \delta ( x ) ) ] d \mu ( x )$ ; confidence 0.612
+
83. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046470/h046470224.png ; $d \sigma ( y )$ ; confidence 0.992
  
84. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b0153905.png ; $\{ P _ { \theta } : \theta \in \Theta \}$ ; confidence 0.633
+
84. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058680/l05868041.png ; $\pi _ { 1 } ( G ) \cong \Gamma ( G ) / \Gamma _ { 0 }$ ; confidence 0.992
  
85. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539058.png ; $\rho ( \pi , \delta )$ ; confidence 1.000
+
85. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059490/l05949079.png ; $x = F ( t ) y$ ; confidence 0.992
  
86. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539044.png ; $i , j = 1,2$ ; confidence 0.881
+
86. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062570/m06257039.png ; $\xi _ { k } = + 1$ ; confidence 0.992
  
87. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539024.png ; $\pi ( d \theta ) = \pi ( \theta ) d \nu ( \theta )$ ; confidence 0.998
+
87. https://www.encyclopediaofmath.org/legacyimages/n/n130/n130030/n13003066.png ; $\operatorname { Re } ( \lambda )$ ; confidence 0.992
  
88. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539041.png ; $= \{ \theta _ { 1 } , \theta _ { 2 } \}$ ; confidence 1.000
+
88. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067150/n067150173.png ; $x + h \in G$ ; confidence 0.992
  
89. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539038.png ; $\delta ^ { * } ( x )$ ; confidence 0.978
+
89. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070310/o07031053.png ; $N ( n ) \rightarrow \infty$ ; confidence 0.992
  
90. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539031.png ; $x \in X , \delta ^ { * } ( x )$ ; confidence 0.710
+
90. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075260/p07526038.png ; $\pi _ { D } : X \rightarrow F ( D )$ ; confidence 0.992
  
91. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539060.png ; $\delta _ { \epsilon } ^ { * }$ ; confidence 0.648
+
91. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075780/p07578019.png ; $D \rightarrow \overline { D }$ ; confidence 0.992
  
92. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b0153908.png ; $L ( \theta , d )$ ; confidence 0.992
+
92. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080680/r08068055.png ; $x ( t ) \in D ^ { c }$ ; confidence 0.992
  
93. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539051.png ; $L _ { 11 } < L _ { 12 }$ ; confidence 0.994
+
93. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081260/r08126015.png ; $M _ { \gamma _ { i } } M _ { \gamma _ { j } }$ ; confidence 0.992
  
94. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015400/b01540062.png ; $s ( z ) = q ( z )$ ; confidence 1.000
+
94. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085140/s0851406.png ; $\theta \in \Theta _ { 0 } \subseteq \Theta$ ; confidence 0.992
  
95. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015400/b01540048.png ; $s ( z )$ ; confidence 1.000
+
95. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086620/s08662027.png ; $\Sigma ( \Sigma ^ { n } X ) \rightarrow \Sigma ^ { n + 1 } X$ ; confidence 0.992
  
96. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015400/b01540091.png ; $\Psi _ { 1 } ( Y ) / \hat { q } ( Y ) \leq \psi ( Y ) \leq \Psi _ { 2 } ( Y ) / \hat { q } ( Y )$ ; confidence 0.236
+
96. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086720/s086720108.png ; $V ^ { 3 } = E ^ { 3 }$ ; confidence 0.992
  
97. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015420/b01542034.png ; $x = ( x _ { 1 } + \ldots + x _ { n } ) / n$ ; confidence 0.514
+
97. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090170/s09017090.png ; $B \in \mathfrak { B } _ { 0 }$ ; confidence 0.992
  
98. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009080.png ; $| f ( z ) | < 1$ ; confidence 0.992
+
98. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096380/v096380113.png ; $\pi ^ { \prime } \oplus \theta ^ { \prime }$ ; confidence 0.992
  
99. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009092.png ; $f \in B ( m / n )$ ; confidence 0.956
+
99. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a13001016.png ; $B ^ { A } \cong ( A ^ { * } \otimes B )$ ; confidence 0.992
  
100. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009082.png ; $L ( r ) = \int _ { 0 } ^ { 2 \pi } | z f ^ { \prime } ( z ) | d \theta = O ( \operatorname { log } \frac { 1 } { 1 - r } )$ ; confidence 0.970
+
100. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021067.png ; $( 1 / z ) d z$ ; confidence 0.991
  
101. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015440/b0154406.png ; $E X _ { 2 j } = \mu _ { 2 }$ ; confidence 0.517
+
101. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011720/a01172012.png ; $\operatorname { Red } : X ( K ) \rightarrow X _ { 0 } ( k )$ ; confidence 0.991
  
102. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015440/b01544026.png ; $X _ { 1 }$ ; confidence 0.637
+
102. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130290/a13029031.png ; $P \rightarrow \Sigma$ ; confidence 0.991
  
103. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110250/b11025093.png ; $L ( t )$ ; confidence 0.967
+
103. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014090/a01409051.png ; $\psi ( t _ { i } )$ ; confidence 0.991
  
104. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015540/b01554027.png ; $\phi = \Pi ^ { \prime } \Pi ^ { - 1 }$ ; confidence 0.997
+
104. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a13032030.png ; $Y _ { i } = 2 X _ { i } - 1$ ; confidence 0.991
  
105. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110270/b11027042.png ; $P ( s S ) = P ( S )$ ; confidence 0.219
+
105. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110190/b11019019.png ; $x ^ { * } ( x ^ { * } y ) = x \wedge y$ ; confidence 0.991
  
106. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130100/b13010015.png ; $k _ { z } = K _ { z } / \| K _ { z } \|$ ; confidence 0.674
+
106. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017400/b01740070.png ; $k ^ { \prime } = 1$ ; confidence 0.991
  
107. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015560/b01556018.png ; $D \times D \in \Gamma ^ { 2 }$ ; confidence 0.230
+
107. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022290/c0222907.png ; $\theta \leq 1 / 2$ ; confidence 0.991
  
108. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120140/b12014039.png ; $a ( z )$ ; confidence 0.948
+
108. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025150/c02515011.png ; $Y \in T _ { y } ( P )$ ; confidence 0.991
  
109. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015580/b0155806.png ; $p _ { i } = \nu ( \alpha _ { i } )$ ; confidence 0.832
+
109. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025350/c025350104.png ; $B \rightarrow H$ ; confidence 0.991
  
110. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b120150110.png ; $d : N \cup \{ 0 \} \rightarrow R$ ; confidence 0.953
+
110. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025710/c0257107.png ; $U = U ( x _ { 0 } )$ ; confidence 0.991
  
111. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b12015024.png ; $x = \frac { 1 } { n } \sum _ { j = 1 } ^ { n } x$ ; confidence 0.315
+
111. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025890/c02589013.png ; $( T ^ { * } ( t ) = T ( t ) )$ ; confidence 0.991
  
112. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110330/b1103309.png ; $\Omega = S ^ { D } = \{ \omega _ { i } \} _ { i \in D }$ ; confidence 0.591
+
112. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026230/c02623020.png ; $c _ { 1 } = f ^ { \prime } ( 0 ) = 1$ ; confidence 0.991
  
113. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110330/b11033038.png ; $P ^ { \prime }$ ; confidence 0.871
+
113. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031250/d03125044.png ; $\phi : A \rightarrow A$ ; confidence 0.991
  
114. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015630/b01563017.png ; $p \leq 2$ ; confidence 1.000
+
114. 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
  
115. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015650/b01565010.png ; $B _ { n } ( x + 1 ) - B _ { n } ( x ) = n x ^ { n - 1 }$ ; confidence 0.672
+
115. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033530/d033530133.png ; $\zeta ( \sigma + i t ) \neq 0$ ; confidence 0.991
  
116. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015660/b01566078.png ; $/ N = T$ ; confidence 0.692
+
116. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038220/f03822036.png ; $Q \subset P ^ { 4 }$ ; confidence 0.991
  
117. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015660/b01566054.png ; $\alpha = ( k + 1 / 2 )$ ; confidence 0.643
+
117. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f130100140.png ; $G = T$ ; confidence 0.991
  
118. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015660/b01566081.png ; $1 - \frac { 2 } { \sqrt { 2 \pi } } \int _ { 0 } ^ { \alpha / T } e ^ { - z ^ { 2 } / 2 } d z = \frac { 2 } { \sqrt { 2 \pi } } \int _ { \alpha / \sqrt { T } } ^ { \infty } e ^ { - z ^ { 2 } / 2 } d z$ ; confidence 0.722
+
118. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041050/f04105039.png ; $f \in L _ { 1 }$ ; confidence 0.991
  
119. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015660/b01566071.png ; $\nu = a + x + 2 [ \frac { n - t - x - \alpha } { 2 } ] + 1$ ; confidence 0.213
+
119. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041250/f041250105.png ; $L _ { k } ( z _ { k } )$ ; confidence 0.991
  
120. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015680/b01568021.png ; $2 \operatorname { exp } \{ - \frac { 1 } { 2 } n \epsilon ^ { 2 } \}$ ; confidence 0.999
+
120. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041270/f04127030.png ; $\alpha < \beta < \gamma$ ; confidence 0.991
  
121. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110370/b11037053.png ; $K ( t ) \equiv 1$ ; confidence 0.999
+
121. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041790/f04179028.png ; $( n ! ) ^ { - 1 } n _ { D }$ ; confidence 0.991
  
122. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110370/b11037052.png ; $= 0 \text { as. } \cdot P _ { \theta _ { 0 } } ]$ ; confidence 0.233
+
122. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797023.png ; $\mu ^ { * } : A ^ { * } \rightarrow A ^ { * } \otimes A ^ { * }$ ; confidence 0.991
  
123. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110370/b11037025.png ; $0 < \epsilon < i ( \theta _ { 0 } )$ ; confidence 0.998
+
123. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110300/h1103003.png ; $\psi ( x ) = \sum x ^ { \prime } \otimes x ^ { \prime \prime }$ ; confidence 0.991
  
124. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110340/b11034032.png ; $\omega ( x y ) = \omega ( x ) \omega ( y )$ ; confidence 0.999
+
124. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055850/k05585032.png ; $W _ { \alpha } ( P ) \subseteq ( D _ { \alpha } ) ^ { n }$ ; confidence 0.991
  
125. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015720/b01572032.png ; $+ \frac { \alpha } { u } [ \alpha ( \frac { \partial u } { \partial x } ) ^ { 2 } + 2 b \frac { \partial u } { \partial x } \frac { \partial u } { \partial y } + c ( \frac { \partial u } { \partial y } ) ^ { 2 } ] +$ ; confidence 0.828
+
125. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120190/l12019010.png ; $\lambda _ { j } + \overline { \lambda } _ { k } = 0$ ; confidence 0.991
  
126. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120160/b12016030.png ; $x _ { i } ^ { \prime \prime } = x _ { i } ^ { \prime }$ ; confidence 0.895
+
126. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063710/m06371076.png ; $\int _ { c } ^ { \infty } f ( x ) d x$ ; confidence 0.991
  
127. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110380/b11038019.png ; $w = \pi ( z )$ ; confidence 0.987
+
127. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110180/m11018050.png ; $J ( F G / I ) = 0$ ; confidence 0.991
  
128. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110380/b11038070.png ; $\Theta f$ ; confidence 0.864
+
128. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065250/m06525013.png ; $G _ { 1 } / N$ ; confidence 0.991
  
129. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110390/b110390108.png ; $K > 0$ ; confidence 0.999
+
129. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067150/n067150152.png ; $A : G \rightarrow Y$ ; confidence 0.991
  
130. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110400/b11040029.png ; $F ^ { 2 } = \beta ^ { 2 } \operatorname { exp } \{ \frac { I \gamma } { \beta } \}$ ; confidence 0.990
+
130. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076530/q07653051.png ; $x ^ { 1 } = 0$ ; confidence 0.991
  
131. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110400/b11040017.png ; $F . C _ { i j k } = I m$ ; confidence 0.621
+
131. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080930/r08093022.png ; $R _ { 0 } \subset F$ ; confidence 0.991
  
132. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015870/b01587024.png ; $( 1 - \Delta ) ^ { m } P _ { \alpha } ( x ) = P _ { \alpha - 2 m } ( x )$ ; confidence 0.951
+
132. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082430/r08243011.png ; $\gamma _ { t } ( x + y ) = \sum _ { r = 0 } ^ { t } \gamma _ { r } ( x ) \gamma _ { t - r } ( y )$ ; confidence 0.991
  
133. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110420/b11042025.png ; $V _ { k } \varphi ( x ) = \varphi ( x - h )$ ; confidence 0.922
+
133. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013040.png ; $Q ^ { ( n ) } = \sum _ { j = 0 } ^ { n } Q _ { j } z ^ { n - j }$ ; confidence 0.991
  
134. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110420/b11042055.png ; $\mu \in R$ ; confidence 0.990
+
134. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042066.png ; $\alpha : K _ { 0 } ( A ) \rightarrow K _ { 0 } ( B )$ ; confidence 0.991
  
135. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110420/b11042087.png ; $\overline { B } ^ { \nu }$ ; confidence 0.987
+
135. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042064.png ; $( K _ { 0 } ( A ) , K _ { 0 } ( A ) ^ { + } , \Sigma ( A ) )$ ; confidence 0.990
  
136. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110420/b11042014.png ; $( Id - \Delta ) ^ { \nu }$ ; confidence 0.560
+
136. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024055.png ; $L \subset F$ ; confidence 0.990
  
137. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110440/b1104407.png ; $\overline { \Xi } \epsilon = 0$ ; confidence 0.326
+
137. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a1200203.png ; $A \subset Y$ ; confidence 0.990
  
138. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110490/b1104909.png ; $P _ { 1 }$ ; confidence 0.928
+
138. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015350/b015350372.png ; $\{ \xi _ { t } \}$ ; confidence 0.990
  
139. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016050/b0160507.png ; $E _ { \theta } \{ T \}$ ; confidence 0.560
+
139. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110400/b11040029.png ; $F ^ { 2 } = \beta ^ { 2 } \operatorname { exp } \{ \frac { I \gamma } { \beta } \}$ ; confidence 0.990
  
140. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016050/b01605010.png ; $b ( \theta ) \equiv 0$ ; confidence 0.580
+
140. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110420/b11042055.png ; $\mu \in R$ ; confidence 0.990
  
141. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016160/b01616031.png ; $\hat { R } ( c )$ ; confidence 0.613
+
141. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016550/b01655023.png ; $\mu _ { n } ( t ) = 0$ ; confidence 0.990
  
142. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016160/b01616036.png ; $0 < c < 1$ ; confidence 0.979
+
142. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024800/c02480058.png ; $D \subset D _ { 1 }$ ; confidence 0.990
  
143. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016150/b01615033.png ; $\operatorname { Re } _ { c _ { N } } = n$ ; confidence 0.069
+
143. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026870/c02687095.png ; $D U$ ; confidence 0.990
  
144. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016170/b01617015.png ; $F _ { n } ( z _ { 0 } ) = 0$ ; confidence 0.993
+
144. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110220/d11022035.png ; $L y = g$ ; confidence 0.990
  
145. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016170/b0161704.png ; $| w | < r _ { 0 }$ ; confidence 0.478
+
145. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035560/e03556014.png ; $y ^ { \prime } ( 0 ) = 0$ ; confidence 0.990
  
146. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016170/b01617013.png ; $F _ { n } ( z )$ ; confidence 0.855
+
146. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110100/e11010022.png ; $o ( G )$ ; confidence 0.990
  
147. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110520/b1105203.png ; $\sum _ { n = 1 } ^ { \infty } l _ { k } ^ { 2 } \operatorname { exp } ( l _ { 1 } + \ldots + l _ { n } ) = \infty$ ; confidence 0.545
+
147. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040520/f04052043.png ; $| x - x _ { 0 } | \leq b$ ; confidence 0.990
  
148. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110520/b11052027.png ; $x \in G _ { n }$ ; confidence 0.415
+
148. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046300/h046300124.png ; $P _ { n - k }$ ; confidence 0.990
  
149. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016470/b0164707.png ; $( \tau = \text { const } )$ ; confidence 0.589
+
149. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110400/h11040046.png ; $\int _ { X } | f ( x ) | ^ { 2 } \operatorname { ln } | f ( x ) | d \mu ( x ) \leq$ ; confidence 0.990
  
150. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110560/b11056013.png ; $w _ { 2 } ( F )$ ; confidence 0.966
+
150. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i13003026.png ; $[ T ^ { * } M ]$ ; confidence 0.990
  
151. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016540/b0165404.png ; $B = \{ b _ { i } : i \in I \}$ ; confidence 0.985
+
151. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055350/k05535065.png ; $K _ { 0 } ^ { 4 k + 2 }$ ; confidence 0.990
  
152. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110570/b11057061.png ; $H _ { m }$ ; confidence 0.869
+
152. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055610/k055610105.png ; $Q _ { 1 } : A \rightarrow T ^ { \prime } A T$ ; confidence 0.990
  
153. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110570/b11057039.png ; $H _ { k } \circ \operatorname { exp } ( X _ { F } ) = \operatorname { exp } ( X _ { F } ) ( H _ { k } )$ ; confidence 0.992
+
153. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840354.png ; $C = C ^ { * }$ ; confidence 0.990
  
154. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016550/b01655023.png ; $\mu _ { n } ( t ) = 0$ ; confidence 0.990
+
154. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057440/l05744010.png ; $D = 2 \gamma k T / M$ ; confidence 0.990
  
155. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016550/b01655040.png ; $\lambda _ { n } ( t ) = v$ ; confidence 0.997
+
155. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063240/m063240457.png ; $\mu _ { i } ( X _ { i } ) = 1$ ; confidence 0.990
  
156. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110590/b11059067.png ; $u = q ( x ) \text { on } g$ ; confidence 0.462
+
156. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074140/p074140115.png ; $1 \leq p \leq n / 2$ ; confidence 0.990
  
157. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016610/b01661046.png ; $\vec { u } = A _ { j } ^ { i } u ^ { j }$ ; confidence 0.648
+
157. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074150/p074150292.png ; $f \in C$ ; confidence 0.990
  
158. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016610/b01661030.png ; $R _ { y } ^ { t }$ ; confidence 0.060
+
158. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081460/r08146090.png ; $l _ { i } = \lambda _ { i } + n - i$ ; confidence 0.990
  
159. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130170/b13017045.png ; $S _ { T }$ ; confidence 0.992
+
159. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082160/r08216057.png ; $N = 0$ ; confidence 0.990
  
160. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120270/b12027050.png ; $U ( t ) = \sum _ { 1 } ^ { \infty } P ( S _ { k } \leq t ) = \sum _ { 1 } ^ { \infty } F ^ { ( k ) } ( t )$ ; confidence 0.917
+
160. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087450/s087450113.png ; $\sum b _ { j } \phi _ { l } ( t _ { j } ) = 0$ ; confidence 0.990
  
161. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110610/b11061011.png ; $K ^ { * }$ ; confidence 0.777
+
161. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130210/t13021052.png ; $2 / ( 3 N / 2 )$ ; confidence 0.990
  
162. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016650/b0166503.png ; $2 \int \int _ { G } ( x \frac { \partial y } { \partial u } \frac { \partial y } { \partial v } ) d u d v = \oint _ { \partial G } ( x y d y )$ ; confidence 0.204
+
162. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097710/w09771067.png ; $N _ { G } ( T ) / Z _ { G } ( T )$ ; confidence 0.990
  
163. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120300/b12030013.png ; $q \in Z ^ { N }$ ; confidence 0.950
+
163. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042050.png ; $( K _ { 0 } ( A ) , K _ { 0 } ( A ) ^ { + } , \Sigma ( A ) )$ ; confidence 0.990
  
164. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120300/b12030060.png ; $0 \leq \lambda _ { 1 } ( \eta ) \leq \ldots \leq \lambda _ { m } ( \eta ) \leq \ldots \rightarrow \infty$ ; confidence 0.714
+
164. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010148.png ; $T ^ { 2 } \times SO ( 3 )$ ; confidence 0.990
  
165. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016670/b01667088.png ; $A A ^ { T } = ( r - \lambda ) E + \lambda J$ ; confidence 0.999
+
165. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001032.png ; $g ( \xi ^ { \alpha } , \xi ^ { b } ) = \delta _ { \alpha b }$ ; confidence 0.989
  
166. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016670/b01667071.png ; $n _ { 1 } = 9$ ; confidence 0.822
+
166. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110170/a1101706.png ; $\phi : \Omega \rightarrow \Omega _ { t }$ ; confidence 0.989
  
167. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110640/b11064038.png ; $X _ { 1 } \times X _ { 2 }$ ; confidence 0.987
+
167. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a01165078.png ; $H \times H \rightarrow H$ ; confidence 0.989
  
168. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120310/b12031032.png ; $0 \leq \delta \leq ( n - 1 ) / 2 ( n + 1 )$ ; confidence 0.999
+
168. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b1302903.png ; $d = \operatorname { dim } A$ ; confidence 0.989
  
169. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120310/b12031064.png ; $\tau ^ { n }$ ; confidence 0.408
+
169. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020920/c02092043.png ; $x = x ^ { 0 }$ ; confidence 0.989
  
170. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016730/b01673033.png ; $r ^ { 3 } / v \ll 1$ ; confidence 0.747
+
170. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023550/c023550235.png ; $\beta Y \backslash Y$ ; confidence 0.989
  
171. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016740/b0167404.png ; $\leq \frac { 1 } { N } \langle U _ { 1 } - U _ { 2 } \} _ { U _ { 2 } }$ ; confidence 0.419
+
171. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025470/c02547051.png ; $\alpha \wedge ( d \alpha ) ^ { n }$ ; confidence 0.989
  
172. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110690/b11069080.png ; $M _ { A g }$ ; confidence 0.870
+
172. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036530/e03653023.png ; $t h$ ; confidence 0.989
  
173. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110690/b11069063.png ; $P T ( C ) \in G$ ; confidence 0.971
+
173. 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
  
174. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120320/b12032011.png ; $\| x + y \| _ { p } = \| u + v \| _ { p }$ ; confidence 0.572
+
174. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020283.png ; $S ( M ^ { \prime } ) \subset M ^ { \prime }$ ; confidence 0.989
  
175. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016810/b01681038.png ; $n ( z ) = n _ { 0 } e ^ { - m g z / k T }$ ; confidence 0.985
+
175. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h046420189.png ; $f = f _ { 1 } * f _ { 2 }$ ; confidence 0.989
  
176. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016810/b01681021.png ; $H = \sum _ { i } \frac { p _ { i } ^ { 2 } } { 2 m } + \sum _ { i } U ( r _ { i } )$ ; confidence 0.992
+
176. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048520/h04852064.png ; $| f | = 1$ ; confidence 0.989
  
177. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016850/b01685023.png ; $E = \sum _ { i = 1 } ^ { M } \epsilon _ { i } N _ { i }$ ; confidence 0.900
+
177. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050400/i05040021.png ; $[ t ^ { n } : t ^ { n - 1 } ] = 0$ ; confidence 0.989
  
178. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016850/b01685022.png ; $N = \sum _ { i = 1 } ^ { M } N$ ; confidence 0.965
+
178. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052110/i05211013.png ; $T \subset R ^ { 1 }$ ; confidence 0.989
  
179. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120360/b12036013.png ; $E$ ; confidence 0.999
+
179. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052940/i05294039.png ; $F _ { t } : M ^ { n } \rightarrow M ^ { n }$ ; confidence 0.989
  
180. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130190/b1301906.png ; $F ( x ) = f ( M x )$ ; confidence 1.000
+
180. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120060/k12006031.png ; $h ^ { 0 } ( K _ { X } \otimes L ^ { * } )$ ; confidence 0.989
  
181. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016900/b0169001.png ; $d s ^ { 2 } = \frac { d u ^ { 2 } + d v ^ { 2 } } { ( U + V ) ^ { 2 } }$ ; confidence 0.972
+
181. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110170/l110170115.png ; $Q \alpha = Q \beta \gamma$ ; confidence 0.989
  
182. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016990/b0169909.png ; $\Omega _ { M } ( \rho ) \in V _ { M } ^ { V ^ { n } }$ ; confidence 0.820
+
182. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062490/m06249090.png ; $\alpha _ { \epsilon } ( h ) = o ( h )$ ; confidence 0.989
  
183. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016920/b01692023.png ; $( x \vee C x ) \wedge y = y$ ; confidence 0.985
+
183. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063140/m06314076.png ; $x _ { 3 } = z$ ; confidence 0.989
  
184. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016920/b016920121.png ; $( M )$ ; confidence 1.000
+
184. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063800/m06380081.png ; $\sigma ( W )$ ; confidence 0.989
  
185. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120370/b12037030.png ; $h \in \Omega$ ; confidence 0.914
+
185. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081430/r08143084.png ; $A = A _ { 1 } \times A _ { 2 }$ ; confidence 0.989
  
186. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120370/b12037092.png ; $\sum \frac { 1 } { 1 }$ ; confidence 0.251
+
186. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086520/s086520138.png ; $\theta _ { T } = \theta$ ; confidence 0.989
  
187. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110760/b11076042.png ; $\partial ^ { k } f / \partial x : B ^ { m } \rightarrow B$ ; confidence 0.717
+
187. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086650/s08665020.png ; $i > 2 n - 1$ ; confidence 0.989
  
188. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016960/b016960150.png ; $99$ ; confidence 0.271
+
188. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092650/t09265019.png ; $u x + v x ^ { 2 } + w x ^ { 3 } + t x ^ { 4 }$ ; confidence 0.989
  
189. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016960/b016960167.png ; $\tilde { \mathfrak { N } } = \mathfrak { N } \backslash ( V _ { j = 1 } ^ { t } \mathfrak { A } ^ { \prime \prime } )$ ; confidence 0.082
+
189. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094650/t09465038.png ; $\forall v \phi$ ; confidence 0.989
  
190. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016960/b016960126.png ; $\omega _ { i } = 1$ ; confidence 0.972
+
190. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240396.png ; $M _ { H }$ ; confidence 0.989
  
191. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016960/b016960175.png ; $M _ { 1 } \cup M _ { 2 }$ ; confidence 0.994
+
191. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420143.png ; $1$ ; confidence 0.989
  
192. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016970/b0169702.png ; $x ^ { \sigma } = x$ ; confidence 0.948
+
192. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300104.png ; $d ( A , B ) : B ^ { A } \cong A ^ { * } B ^ { * }$ ; confidence 0.988
  
193. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016970/b01697035.png ; $t _ { f } ( n )$ ; confidence 0.917
+
193. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042068.png ; $\alpha ( \Sigma ( A ) ) = \Sigma ( B )$ ; confidence 0.988
  
194. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016970/b01697056.png ; $\frac { 2 ^ { n } } { \operatorname { log } _ { 2 } n \cdot \operatorname { log } _ { 2 } \operatorname { log } _ { 2 } n } < l _ { f } ( n ) < \frac { 2 ^ { n } } { \operatorname { log } _ { 2 } n }$ ; confidence 0.504
+
194. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012940/a01294081.png ; $f \in F$ ; confidence 0.988
  
195. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200102.png ; $\beta \neq - \alpha$ ; confidence 0.992
+
195. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017290/b01729088.png ; $A = R ( X )$ ; confidence 0.988
  
196. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020088.png ; $\Delta _ { - } = - \Delta _ { + }$ ; confidence 0.970
+
196. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b120420159.png ; $\lambda _ { W } : V \otimes W \rightarrow W \otimes V$ ; confidence 0.988
  
197. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020036.png ; $[ e _ { i } f _ { j } ] = h _ { i }$ ; confidence 0.684
+
197. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024120/c02412084.png ; $\int _ { - \infty } ^ { \infty } ( P ( x ) / Q ( x ) ) d x$ ; confidence 0.988
  
198. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020048.png ; $\alpha _ { i j } \neq 0$ ; confidence 0.797
+
198. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024990/c02499018.png ; $\int _ { - \pi } ^ { \pi } f ( x ) d x = 0$ ; confidence 0.988
  
199. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020023.png ; $\alpha _ { i } \in R$ ; confidence 0.443
+
199. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110410/c11041077.png ; $B _ { 1 }$ ; confidence 0.988
  
200. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200163.png ; $\operatorname { lim } \mathfrak { g } ^ { \alpha } = 1$ ; confidence 0.737
+
200. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033110/d03311036.png ; $| \{ Z \} _ { n } | \rightarrow \infty$ ; confidence 0.988
  
201. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020073.png ; $9 -$ ; confidence 0.467
+
201. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041060/f041060172.png ; $X ^ { \prime } \subset X$ ; confidence 0.988
  
202. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017010/b01701014.png ; $\alpha _ { k } = a _ { k k } - v _ { k } A _ { k - 1 } ^ { - 1 } u _ { k }$ ; confidence 0.522
+
202. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020256.png ; $C ^ { ( 0 ) }$ ; confidence 0.988
  
203. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017030/b01703046.png ; $\mathfrak { M } _ { n }$ ; confidence 0.373
+
203. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047210/h04721080.png ; $X _ { 1 } \cap Y _ { 1 } = \emptyset$ ; confidence 0.988
  
204. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040052.png ; $\mathfrak { h } \subset \mathfrak { g }$ ; confidence 0.959
+
204. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110080/i11008014.png ; $g \in E$ ; confidence 0.988
  
205. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017290/b01729088.png ; $A = R ( X )$ ; confidence 0.988
+
205. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063240/m063240221.png ; $E \in S ( R )$ ; confidence 0.988
  
206. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017290/b01729042.png ; $\partial M _ { A } \subset X \subset M _ { A }$ ; confidence 0.891
+
206. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064000/m06400065.png ; $W ( N )$ ; confidence 0.988
  
207. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017290/b0172908.png ; $\Gamma \subset M _ { A }$ ; confidence 0.920
+
207. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066340/n06634047.png ; $X _ { i } \subset \Delta _ { 1 } ^ { i }$ ; confidence 0.988
  
208. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017290/b01729066.png ; $| \hat { \alpha } ( \xi ) | > | \hat { \alpha } ( \eta ) |$ ; confidence 0.745
+
208. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110010/r110010167.png ; $k ( \pi )$ ; confidence 0.988
  
209. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017280/b01728011.png ; $\hat { G } \backslash G$ ; confidence 0.582
+
209. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087420/s08742011.png ; $H = H _ { V } ( \omega )$ ; confidence 0.988
  
210. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017330/b01733030.png ; $f ( e ^ { i \theta } ) = \operatorname { lim } _ { r \rightarrow 1 - 0 } f ( r e ^ { i \theta } )$ ; confidence 0.451
+
210. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087800/s08780026.png ; $x + C$ ; confidence 0.988
  
211. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017330/b01733087.png ; $N ^ { * } ( D )$ ; confidence 0.999
+
211. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042055.png ; $K _ { 0 } ( A ) ^ { + }$ ; confidence 0.988
  
212. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017330/b017330215.png ; $F ^ { \prime } ( w )$ ; confidence 0.999
+
212. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010147.png ; $T ^ { 2 } \times \operatorname { Sp } ( 1 )$ ; confidence 0.987
  
213. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017330/b017330250.png ; $U ^ { N }$ ; confidence 0.743
+
213. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240431.png ; $a ^ { \prime } \Theta$ ; confidence 0.987
  
214. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017330/b017330260.png ; $N ^ { * } ( \Omega )$ ; confidence 0.996
+
214. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010138.png ; $\sigma _ { i } ( A ) - \sigma _ { 1 } ( \delta A ) \leq \sigma _ { i } ( A + \delta A ) \leq \sigma _ { i } ( A ) + \sigma _ { i } ( \delta A )$ ; confidence 0.987
  
215. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017330/b017330155.png ; $\Phi ( \theta )$ ; confidence 1.000
+
215. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a1101003.png ; $V$ ; confidence 0.987
  
216. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017330/b017330242.png ; $f ^ { * } ( z ) = \operatorname { lim } _ { r \rightarrow 1 - 0 } f ( r z )$ ; confidence 0.445
+
216. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081069.png ; $U _ { j } ^ { * } ( \xi )$ ; confidence 0.987
  
217. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017330/b017330240.png ; $B = H ^ { \infty } \subset H _ { \psi } \subset N ^ { * }$ ; confidence 0.752
+
217. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011520/a01152036.png ; $V ^ { 1 }$ ; confidence 0.987
  
218. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017340/b017340100.png ; $n ^ { \prime } = - n + m - 1$ ; confidence 0.993
+
218. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110380/b11038019.png ; $w = \pi ( z )$ ; confidence 0.987
  
219. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017340/b01734046.png ; $t _ { 0 } \in \partial S$ ; confidence 0.816
+
219. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110420/b11042087.png ; $\overline { B } ^ { \nu }$ ; confidence 0.987
  
220. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017340/b01734029.png ; $C _ { \alpha }$ ; confidence 0.664
+
220. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110640/b11064038.png ; $X _ { 1 } \times X _ { 2 }$ ; confidence 0.987
  
221. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017350/b01735065.png ; $K$ ; confidence 0.981
+
221. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780545.png ; $B P \square ^ { * } ( B P )$ ; confidence 0.987
  
222. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017350/b01735056.png ; $K ^ { + }$ ; confidence 0.992
+
222. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120300/c12030042.png ; $u : H \rightarrow H ^ { \prime }$ ; confidence 0.987
  
223. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017380/b01738057.png ; $L u = \frac { \partial ^ { 2 } u } { \partial x ^ { 2 } } - \frac { \partial u } { \partial t } = 0$ ; confidence 0.466
+
223. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130090/d13009051.png ; $u > 1$ ; confidence 0.987
  
224. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017380/b01738068.png ; $t \in S$ ; confidence 0.474
+
224. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120060/e12006038.png ; $Y \rightarrow J ^ { 1 } Y$ ; confidence 0.987
  
225. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017400/b01740070.png ; $k ^ { \prime } = 1$ ; confidence 0.991
+
225. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037170/e03717072.png ; $r < | z | < 1$ ; confidence 0.987
  
226. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110820/b11082017.png ; $\pi _ { i } / ( \pi _ { i } + \pi _ { j } )$ ; confidence 0.304
+
226. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040960/f04096055.png ; $x ^ { i } \in R$ ; confidence 0.987
  
227. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b01747076.png ; $1 \rightarrow K ( n ) \rightarrow B ( n ) \rightarrow S ( n ) \rightarrow 1$ ; confidence 0.993
+
227. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003082.png ; $\Gamma \subset \Omega$ ; confidence 0.987
  
228. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b01747034.png ; $( i i + 1 )$ ; confidence 0.886
+
228. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130090/h13009035.png ; $g \rightarrow g$ ; confidence 0.987
  
229. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b01747053.png ; $\Pi ^ { \prime \prime }$ ; confidence 0.914
+
229. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058140/l05814017.png ; $v = v ( t )$ ; confidence 0.987
  
230. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b01747069.png ; $P _ { 1 / 2 }$ ; confidence 0.996
+
230. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063910/m06391025.png ; $\{ p _ { \theta } ( \omega ) = \frac { d p } { d \mu } ( \omega ) : \theta \in \Theta \}$ ; confidence 0.987
  
231. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b01747067.png ; $\omega ^ { - 1 }$ ; confidence 0.909
+
231. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068210/o06821028.png ; $X = \sum _ { i } X ^ { i } \partial / \partial x ^ { i }$ ; confidence 0.987
  
232. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b017470190.png ; $H ^ { * } ( O ( n ) ) \rightarrow H ^ { * } ( B ( n ) )$ ; confidence 0.999
+
232. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072930/p072930108.png ; $u \in C ^ { 2 } ( D )$ ; confidence 0.987
  
233. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b120420145.png ; $\sum h _ { ( 1 ) } \otimes h _ { ( 2 ) }$ ; confidence 0.516
+
233. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110020/r11002077.png ; $T w | K v$ ; confidence 0.987
  
234. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b120420159.png ; $\lambda _ { W } : V \otimes W \rightarrow W \otimes V$ ; confidence 0.988
+
234. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080190/r08019033.png ; $U$ ; confidence 0.987
  
235. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b120420115.png ; $U _ { q } ( \mathfrak { g } )$ ; confidence 0.626
+
235. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130020/s13002040.png ; $g _ { t } ( u )$ ; confidence 0.987
  
236. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130220/b13022030.png ; $L _ { p } ( T )$ ; confidence 0.938
+
236. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092650/t09265044.png ; $c < 2$ ; confidence 0.987
  
237. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110840/b11084049.png ; $X$ ; confidence 0.601
+
237. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095410/u09541013.png ; $U _ { n } ( K )$ ; confidence 0.987
  
238. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130230/b13023050.png ; $G ( u )$ ; confidence 0.489
+
238. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130070/v1300709.png ; $\vec { V }$ ; confidence 0.987
  
239. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017530/b0175307.png ; $P \{ \mu ( t + t _ { 0 } ) = j | \mu ( t _ { 0 } ) = i \}$ ; confidence 0.724
+
239. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420107.png ; $\tau : A \rightarrow C$ ; confidence 0.987
  
240. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017550/b0175508.png ; $t _ { 1 } + t$ ; confidence 0.973
+
240. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055060.png ; $\partial X ^ { \prime \prime }$ ; confidence 0.986
  
241. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017560/b01756018.png ; $P \{ \xi _ { t } \equiv 0 \} = 1$ ; confidence 0.670
+
241. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012024.png ; $7$ ; confidence 0.986
  
242. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017580/b01758025.png ; $\int _ { 0 } ^ { 1 } \frac { 1 - G ( s ) } { F ( s ) - s } d s < \infty$ ; confidence 0.998
+
242. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032019.png ; $z \rightarrow 0$ ; confidence 0.986
  
243. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017620/b0176209.png ; $P _ { C } ^ { 1 }$ ; confidence 0.433
+
243. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600249.png ; $L / K$ ; confidence 0.986
  
244. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017620/b01762024.png ; $r ^ { 2 }$ ; confidence 1.000
+
244. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013590/a01359029.png ; $\Phi ^ { ( 3 ) } ( x )$ ; confidence 0.986
  
245. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110850/b11085036.png ; $\operatorname { dim } ( V / K ) = 1$ ; confidence 0.998
+
245. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015280/b0152808.png ; $\lambda _ { 0 } + \ldots + \lambda _ { n } = 1$ ; confidence 0.986
  
246. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120440/b120440103.png ; $R [ H \times H$ ; confidence 0.981
+
246. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780445.png ; $M U ^ { * } ( X )$ ; confidence 0.986
  
247. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120460/b12046037.png ; $( \oplus _ { b } G _ { E B } b )$ ; confidence 0.179
+
247. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031950/d03195029.png ; $W _ { 2 } ^ { p }$ ; confidence 0.986
  
248. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110880/b11088033.png ; $P _ { I } ^ { f } : C ^ { \infty } \rightarrow L$ ; confidence 0.321
+
248. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032100/d032100109.png ; $\dot { x } ( t ) = A x ( t - h ) - D x ( t )$ ; confidence 0.986
  
249. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110890/b11089088.png ; $\alpha ^ { i }$ ; confidence 0.739
+
249. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120320/d1203201.png ; $T : L ^ { 1 } \rightarrow X$ ; confidence 0.986
  
250. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110890/b11089054.png ; $f ( x ) = x ^ { t } M x$ ; confidence 0.999
+
250. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047560/h04756028.png ; $f ^ { - 1 } \circ f ( z ) = z$ ; confidence 0.986
  
251. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110910/b11091027.png ; $\frac { \partial N _ { i } } { \partial t } + u _ { i } \nabla N _ { i } = G _ { i } - L _ { i }$ ; confidence 0.250
+
251. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055440/k05544031.png ; $\Delta u = - f ( x )$ ; confidence 0.986
  
252. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130270/b13027070.png ; $B \otimes K ( H )$ ; confidence 0.796
+
252. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060600/l06060022.png ; $\int \frac { d x } { x } = \operatorname { ln } | x | + C$ ; confidence 0.986
  
253. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130270/b1302706.png ; $Q ( H ) = B ( H ) / K ( H )$ ; confidence 0.959
+
253. https://www.encyclopediaofmath.org/legacyimages/s/s110/s110290/s11029032.png ; $t / \lambda ^ { 2 } \rightarrow + \infty$ ; confidence 0.986
  
254. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120500/b12050014.png ; $M _ { t } : = \operatorname { sup } _ { s \leq t } W _ { s }$ ; confidence 0.396
+
254. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090260/s09026037.png ; $d x = A ( t ) x d t + B ( t ) d w ( t )$ ; confidence 0.986
  
255. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120510/b12051029.png ; $\operatorname { lim } _ { n \rightarrow \infty } \nabla f ( x _ { n } ) = 0$ ; confidence 0.985
+
255. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090450/s09045037.png ; $W ^ { ( n ) } ( s )$ ; confidence 0.986
  
256. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120510/b12051051.png ; $x _ { + } = x _ { c } + \lambda d$ ; confidence 0.719
+
256. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095620/u09562096.png ; $\sum _ { k = 1 } ^ { \infty } | \alpha _ { k } | ^ { 2 } = \frac { 1 } { 2 \pi } \int _ { 0 } ^ { 2 \pi } | f ( e ^ { i t } ) | ^ { 2 } d t \leq 1$ ; confidence 0.986
  
257. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110960/b11096026.png ; $\nu : Z ( K ) \rightarrow V \subset \operatorname { Aff } ( A )$ ; confidence 0.915
+
257. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240545.png ; $2$ ; confidence 0.985
  
258. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290121.png ; $\operatorname { dim } A = 2$ ; confidence 0.998
+
258. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050246.png ; $Z _ { G } ( - q ^ { - 1 } ) \neq 0$ ; confidence 0.985
  
259. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290203.png ; $0 \leq i \leq d - 1$ ; confidence 0.993
+
259. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010055.png ; $C _ { W } ( X )$ ; confidence 0.985
  
260. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b1302903.png ; $d = \operatorname { dim } A$ ; confidence 0.989
+
260. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650408.png ; $\Omega _ { p } ^ { * } = \Omega _ { p } \cup \{ F _ { i } ^ { * } : F _ { i } \in \Omega _ { f } \}$ ; confidence 0.985
  
261. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110990/b11099015.png ; $P _ { \alpha }$ ; confidence 0.384
+
261. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110700/a11070080.png ; $\Omega ^ { p } [ V ]$ ; confidence 0.985
  
262. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110990/b11099011.png ; $V _ { Q }$ ; confidence 0.244
+
262. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016540/b0165404.png ; $B = \{ b _ { i } : i \in I \}$ ; confidence 0.985
  
263. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b130300113.png ; $A$ ; confidence 0.535
+
263. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016810/b01681038.png ; $n ( z ) = n _ { 0 } e ^ { - m g z / k T }$ ; confidence 0.985
  
264. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b130300112.png ; $F _ { m }$ ; confidence 0.945
+
264. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016920/b01692023.png ; $( x \vee C x ) \wedge y = y$ ; confidence 0.985
  
265. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b13030089.png ; $n \geq 2 ^ { 13 }$ ; confidence 0.999
+
265. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120510/b12051029.png ; $\operatorname { lim } _ { n \rightarrow \infty } \nabla f ( x _ { n } ) = 0$ ; confidence 0.985
  
266. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017800/b01780053.png ; $n = p$ ; confidence 0.858
+
266. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110400/c110400102.png ; $M ^ { \perp } = \{ x \in G$ ; confidence 0.985
  
267. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017800/b01780036.png ; $d \geq n$ ; confidence 0.956
+
267. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e12010055.png ; $E ^ { \prime } = 0$ ; confidence 0.985
  
268. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017800/b01780019.png ; $2 ^ { 12 }$ ; confidence 0.999
+
268. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i13005080.png ; $s > - \infty$ ; confidence 0.985
  
269. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120010/b12001032.png ; $\frac { \partial v } { \partial t } - 6 v ^ { 2 } \frac { \partial v } { \partial x } + \frac { \partial ^ { 3 } v } { \partial x ^ { 3 } } = 0$ ; confidence 0.944
+
269. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055700/k05570017.png ; $A _ { t } ^ { * }$ ; confidence 0.985
  
270. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120010/c12001098.png ; $\rho _ { j \overline { k } } = \partial ^ { 2 } \rho / \partial z _ { j } \partial z _ { k }$ ; confidence 0.185
+
270. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057050/l057050113.png ; $\overline { B } \rightarrow \overline { B }$ ; confidence 0.985
  
271. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110470/c11047054.png ; $h : H \rightarrow ( C \bigotimes T M ) / ( H \oplus \overline { H } )$ ; confidence 0.332
+
271. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062160/m062160147.png ; $\kappa = \mu ^ { * }$ ; confidence 0.985
  
272. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110480/c11048046.png ; $D ^ { \perp }$ ; confidence 0.893
+
272. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063980/m06398045.png ; $\| x _ { k } - x ^ { * } \| \leq C q ^ { k }$ ; confidence 0.985
  
273. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110010/c1100106.png ; $T : A _ { j } \rightarrow A$ ; confidence 0.526
+
273. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064430/m064430134.png ; $w = \lambda ( z )$ ; confidence 0.985
  
274. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110030/c11003017.png ; $v = u ^ { 2 } +$ ; confidence 0.633
+
274. https://www.encyclopediaofmath.org/legacyimages/o/o110/o110030/o11003071.png ; $I _ { p } ( L )$ ; confidence 0.985
  
275. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110050/c11005025.png ; $X _ { t } = 2.632 + 1.492 X _ { t - 1 } - 1.324 X _ { t - 2 } + \epsilon _ { t } ^ { ( 2 ) }$ ; confidence 0.949
+
275. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068460/o0684606.png ; $x ( t _ { 1 } ) = x ^ { 1 } \in R ^ { n }$ ; confidence 0.985
  
276. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110050/c11005010.png ; $CW ( 9.63 )$ ; confidence 0.827
+
276. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072350/p07235016.png ; $h > 1$ ; confidence 0.985
  
277. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020140/c02014016.png ; $\Sigma _ { 12 } = \Sigma _ { 2 } ^ { T }$ ; confidence 0.747
+
277. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075190/p07519013.png ; $x ^ { i } = y ^ { i } \lambda$ ; confidence 0.985
  
278. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020160/c02016022.png ; $K _ { X } K _ { X }$ ; confidence 0.800
+
278. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077060/r0770601.png ; $\Delta u + k ^ { 2 } u = - f$ ; confidence 0.985
  
279. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020190/c02019023.png ; $C A$ ; confidence 0.232
+
279. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082560/r0825605.png ; $V = 5$ ; confidence 0.985
  
280. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020230/c02023043.png ; $X \backslash K _ { X }$ ; confidence 0.934
+
280. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086960/s08696095.png ; $k \leq p \leq n$ ; confidence 0.985
  
281. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020280/c020280124.png ; $E ( \lambda )$ ; confidence 1.000
+
281. https://www.encyclopediaofmath.org/legacyimages/w/w110/w110120/w11012047.png ; $( D ) \leq c \text { length } ( C )$ ; confidence 0.985
  
282. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020280/c020280177.png ; $\underline { C } ( E ) = \operatorname { sup } C ( K )$ ; confidence 0.963
+
282. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240342.png ; $Y , B , E$ ; confidence 0.984
  
283. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110080/c11008041.png ; $f$ ; confidence 0.647
+
283. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004089.png ; $D$ ; confidence 0.984
  
284. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110060/c11006048.png ; $0 \leq j < k$ ; confidence 0.995
+
284. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010700/a01070020.png ; $\beta : S \rightarrow B / L$ ; confidence 0.984
  
285. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120040/c12004012.png ; $( f \in H _ { C } ( D ) )$ ; confidence 0.513
+
285. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110400/a11040023.png ; $T ^ { * }$ ; confidence 0.984
  
286. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120040/c12004049.png ; $f \in H _ { c } ( D )$ ; confidence 0.898
+
286. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a01137073.png ; $\{ U _ { i } \}$ ; confidence 0.984
  
287. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120040/c12004038.png ; $\rho \in C ^ { 2 } ( \overline { \Omega } )$ ; confidence 0.996
+
287. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020890/c020890175.png ; $F ^ { - } ( \zeta _ { 0 } )$ ; confidence 0.984
  
288. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020420/c0204203.png ; $E \times E$ ; confidence 0.999
+
288. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022660/c02266091.png ; $\mu _ { 2 } ( C R ) = 0$ ; confidence 0.984
  
289. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020540/c020540218.png ; $\nabla ^ { \prime } = \nabla$ ; confidence 0.998
+
289. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023120/c02312031.png ; $x g = \lambda x$ ; confidence 0.984
  
290. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020540/c020540105.png ; $s _ { m } = r - s - \operatorname { rank } M _ { m } - 1$ ; confidence 0.443
+
290. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025140/c025140196.png ; $X : B \rightarrow T B$ ; confidence 0.984
  
291. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020540/c020540177.png ; $\epsilon ( \sigma ) = 1$ ; confidence 0.993
+
291. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025600/c02560042.png ; $\frac { d u } { d \lambda } = - \phi ^ { \prime } ( u ) ^ { - 1 } \phi ( u ^ { 0 } )$ ; confidence 0.984
  
292. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020550/c02055049.png ; $1$ ; confidence 0.897
+
292. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e13003029.png ; $K _ { \infty }$ ; confidence 0.984
  
293. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020550/c02055058.png ; $t \otimes _ { k } K$ ; confidence 0.618
+
293. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050720/i05072015.png ; $\eta : Y \rightarrow B$ ; confidence 0.984
  
294. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020640/c02064012.png ; $\mu = \beta \nu$ ; confidence 0.406
+
294. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051560/i05156047.png ; $| t - \tau |$ ; confidence 0.984
  
295. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020640/c02064013.png ; $\lambda : V \rightarrow P$ ; confidence 0.999
+
295. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051870/i05187033.png ; $T _ { W } ^ { 2 k + 1 } ( X )$ ; confidence 0.984
  
296. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020650/c0206506.png ; $1 / \mu = d S / d \sigma$ ; confidence 0.936
+
296. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052520/i05252091.png ; $f ( x ^ { * } x ) \leq f ( 1 ) r ( x ^ { * } x )$ ; confidence 0.984
  
297. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130040/c1300406.png ; $\psi ( z ) : = \frac { d } { d z } \{ \operatorname { log } \Gamma ( z ) \} = \frac { \Gamma ^ { \prime } ( z ) } { \Gamma ( z ) }$ ; confidence 0.998
+
297. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110020/m11002071.png ; $f \circ R _ { 1 } = R _ { 2 } \circ f$ ; confidence 0.984
  
298. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130040/c1300407.png ; $\operatorname { log } \Gamma ( z ) = \int _ { 1 } ^ { z } \psi ( t ) d t$ ; confidence 0.962
+
298. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064700/m064700127.png ; $t \in P ^ { 1 }$ ; confidence 0.984
  
299. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020740/c020740168.png ; $F ( 1 _ { A } ) = 1 _ { F A }$ ; confidence 0.901
+
299. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066980/n06698028.png ; $Q ^ { \prime } \subset Q$ ; confidence 0.984
  
300. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020740/c020740394.png ; $( \alpha \circ \beta ) ( c ) _ { d x } = \sum _ { b } \alpha ( b ) _ { a } \beta ( c ) _ { b }$ ; confidence 0.330
+
300. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070070/o070070117.png ; $\{ Z _ { n } \}$ ; confidence 0.984

Revision as of 11:45, 1 September 2019

List

1. l0572001.png ; $T + V = h$ ; confidence 0.994

2. l05861031.png ; $Z \times T$ ; confidence 0.994

3. m12021026.png ; $\lambda K + t$ ; confidence 0.994

4. n06636034.png ; $\{ x _ { \alpha } \} _ { \alpha \in \Sigma }$ ; confidence 0.994

5. n06644040.png ; $\sum _ { n = 0 } ^ { \infty } A ^ { n } f$ ; confidence 0.994

6. n06784093.png ; $A \in L _ { \infty } ( H )$ ; confidence 0.994

7. o070310119.png ; $A \perp A ^ { T }$ ; confidence 0.994

8. p07288011.png ; $\{ z _ { k } \} \subset \Delta$ ; confidence 0.994

9. p07293055.png ; $\sigma _ { 2 n } = 2 \pi ^ { n } / ( n - 1 ) !$ ; confidence 0.994

10. p0733402.png ; $X ( t _ { 2 } ) - X ( t _ { 1 } )$ ; confidence 0.994

11. p07393024.png ; $A / N _ { f }$ ; confidence 0.994

12. p07472076.png ; $\gamma \in G$ ; confidence 0.994

13. p0753601.png ; $X = \operatorname { Proj } ( R )$ ; confidence 0.994

14. r082290135.png ; $U : E \rightarrow M$ ; confidence 0.994

15. s08530020.png ; $c b = c$ ; confidence 0.994

16. s09157097.png ; $T ^ { * } Y \backslash 0$ ; confidence 0.994

17. t093150169.png ; $F \in \gamma$ ; confidence 0.994

18. t120010130.png ; $b _ { 2 } \neq b _ { 6 }$ ; confidence 0.994

19. b01539019.png ; $\rho ( \pi , \delta ) = \int _ { \Theta } \rho ( \theta , \delta ) \pi ( d \theta )$ ; confidence 0.993

20. a11042070.png ; $K _ { 0 } ( \varphi ) = \alpha$ ; confidence 0.993

21. a13013055.png ; $L ( \Lambda _ { 0 } )$ ; confidence 0.993

22. a130240286.png ; $1 - \alpha$ ; confidence 0.993

23. a110420153.png ; $K _ { 0 } ( B ) ^ { + }$ ; confidence 0.993

24. a11042085.png ; $x _ { i } \leq y _ { j }$ ; confidence 0.993

25. a011650412.png ; $A _ { \alpha } \subseteq A$ ; confidence 0.993

26. a1202303.png ; $f \in C ( \partial D )$ ; confidence 0.993

27. b01617015.png ; $F _ { n } ( z _ { 0 } ) = 0$ ; confidence 0.993

28. b017340100.png ; $n ^ { \prime } = - n + m - 1$ ; confidence 0.993

29. b01747076.png ; $1 \rightarrow K ( n ) \rightarrow B ( n ) \rightarrow S ( n ) \rightarrow 1$ ; confidence 0.993

30. b130290203.png ; $0 \leq i \leq d - 1$ ; confidence 0.993

31. c020540177.png ; $\epsilon ( \sigma ) = 1$ ; confidence 0.993

32. c12007011.png ; $1 \leq i \leq n - 1$ ; confidence 0.993

33. c026010556.png ; $d y _ { t } = h ( x _ { t } ) d t + d w _ { t } ^ { 0 }$ ; confidence 0.993

34. d03399034.png ; $y ^ { \prime } ( b ) + \psi y ( b ) = \beta$ ; confidence 0.993

35. e0351605.png ; $L ( u ) + \lambda u = 0$ ; confidence 0.993

36. e11007067.png ; $y ^ { 2 } = R ( x )$ ; confidence 0.993

37. e03555010.png ; $X _ { t } = m F$ ; confidence 0.993

38. f04127048.png ; $D ( B ) \supset D ( A )$ ; confidence 0.993

39. f04207074.png ; $T _ { N } ( t )$ ; confidence 0.993

40. h12003026.png ; $\operatorname { dim } M = 2$ ; confidence 0.993

41. h12012026.png ; $f \phi = 0$ ; confidence 0.993

42. k05594036.png ; $\eta ( \epsilon ) \rightarrow 0$ ; confidence 0.993

43. l05883068.png ; $- \Delta u + c u$ ; confidence 0.993

44. l059350126.png ; $\dot { y } = - A ^ { T } ( t ) y$ ; confidence 0.993

45. m063460176.png ; $\psi _ { z } \neq 0$ ; confidence 0.993

46. n06761056.png ; $( d \nu ) ( x _ { i } ) ( T _ { i } )$ ; confidence 0.993

47. o11007085.png ; $K _ { 10 }$ ; confidence 0.993

48. o0702405.png ; $d W ( t ) / d t = W ^ { \prime } ( t )$ ; confidence 0.993

49. p07535038.png ; $d ( S )$ ; confidence 0.993

50. r082200148.png ; $V ^ { \prime } = V ^ { \prime \prime } = R ^ { \prime } \cup R ^ { \prime \prime }$ ; confidence 0.993

51. r0826403.png ; $A _ { k } = U _ { k } ^ { * } A _ { k - 1 } U _ { k }$ ; confidence 0.993

52. s08559026.png ; $0 < \tau _ { 1 } \leq 1$ ; confidence 0.993

53. s08746026.png ; $\{ \epsilon _ { t } \}$ ; confidence 0.993

54. s08764060.png ; $I = \{ f \in O ( X ) : f ( x ) = 0 \}$ ; confidence 0.993

55. t09367039.png ; $\operatorname { lim } _ { \epsilon \rightarrow 0 } d ( E _ { \epsilon } ) = d ( E )$ ; confidence 0.993

56. t0937107.png ; $x = f ( \alpha )$ ; confidence 0.993

57. t09466020.png ; $\phi ( z ) = \frac { 1 - z ^ { 2 } } { z } f ( z ) \in C$ ; confidence 0.993

58. w120090399.png ; $L ( \mu )$ ; confidence 0.993

59. w12021059.png ; $B _ { m } = R$ ; confidence 0.993

60. a110420108.png ; $\tau ( x y ) = \tau ( y x )$ ; confidence 0.993

61. b0153908.png ; $L ( \theta , d )$ ; confidence 0.992

62. b01539047.png ; $\pi _ { 1 } + \pi _ { 2 } = 1$ ; confidence 0.992

63. a12010079.png ; $( I + \lambda A )$ ; confidence 0.992

64. a01064015.png ; $k _ { 1 } = 2$ ; confidence 0.992

65. b12009080.png ; $| f ( z ) | < 1$ ; confidence 0.992

66. b11057039.png ; $H _ { k } \circ \operatorname { exp } ( X _ { F } ) = \operatorname { exp } ( X _ { F } ) ( H _ { k } )$ ; confidence 0.992

67. b13017045.png ; $S _ { T }$ ; confidence 0.992

68. b01681021.png ; $H = \sum _ { i } \frac { p _ { i } ^ { 2 } } { 2 m } + \sum _ { i } U ( r _ { i } )$ ; confidence 0.992

69. b130200102.png ; $\beta \neq - \alpha$ ; confidence 0.992

70. b01735056.png ; $K ^ { + }$ ; confidence 0.992

71. c02160021.png ; $A$ ; confidence 0.992

72. c130070146.png ; $k ( C ^ { * } )$ ; confidence 0.992

73. c0218501.png ; $\tau = \tau ( E )$ ; confidence 0.992

74. c02721080.png ; $N = \mu / ( n + 1 )$ ; confidence 0.992

75. d1201904.png ; $C _ { 0 } ^ { \infty } ( \Omega ) \subset L _ { 2 } ( \Omega )$ ; confidence 0.992

76. d13017013.png ; $0 < \lambda _ { 1 } ( \Omega ) \leq \lambda _ { 2 } ( \Omega ) \leq$ ; confidence 0.992

77. d03292035.png ; $s = 0$ ; confidence 0.992

78. d034120271.png ; $\infty \in G$ ; confidence 0.992

79. e12005039.png ; $h ^ { i } ( w ) = g ^ { i } ( w )$ ; confidence 0.992

80. g11005015.png ; $\nu < \kappa$ ; confidence 0.992

81. g04335015.png ; $\beta = \frac { 1 } { \gamma - 1 }$ ; confidence 0.992

82. g1200302.png ; $= \sum _ { \nu = 1 } ^ { n } \alpha _ { \nu } f ( x _ { \nu } ) + \sum _ { \mu = 1 } ^ { n + 1 } \beta _ { \mu } f ( \xi _ { \mu } )$ ; confidence 0.992

83. h046470224.png ; $d \sigma ( y )$ ; confidence 0.992

84. l05868041.png ; $\pi _ { 1 } ( G ) \cong \Gamma ( G ) / \Gamma _ { 0 }$ ; confidence 0.992

85. l05949079.png ; $x = F ( t ) y$ ; confidence 0.992

86. m06257039.png ; $\xi _ { k } = + 1$ ; confidence 0.992

87. n13003066.png ; $\operatorname { Re } ( \lambda )$ ; confidence 0.992

88. n067150173.png ; $x + h \in G$ ; confidence 0.992

89. o07031053.png ; $N ( n ) \rightarrow \infty$ ; confidence 0.992

90. p07526038.png ; $\pi _ { D } : X \rightarrow F ( D )$ ; confidence 0.992

91. p07578019.png ; $D \rightarrow \overline { D }$ ; confidence 0.992

92. r08068055.png ; $x ( t ) \in D ^ { c }$ ; confidence 0.992

93. r08126015.png ; $M _ { \gamma _ { i } } M _ { \gamma _ { j } }$ ; confidence 0.992

94. s0851406.png ; $\theta \in \Theta _ { 0 } \subseteq \Theta$ ; confidence 0.992

95. s08662027.png ; $\Sigma ( \Sigma ^ { n } X ) \rightarrow \Sigma ^ { n + 1 } X$ ; confidence 0.992

96. s086720108.png ; $V ^ { 3 } = E ^ { 3 }$ ; confidence 0.992

97. s09017090.png ; $B \in \mathfrak { B } _ { 0 }$ ; confidence 0.992

98. v096380113.png ; $\pi ^ { \prime } \oplus \theta ^ { \prime }$ ; confidence 0.992

99. a13001016.png ; $B ^ { A } \cong ( A ^ { * } \otimes B )$ ; confidence 0.992

100. a01021067.png ; $( 1 / z ) d z$ ; confidence 0.991

101. a01172012.png ; $\operatorname { Red } : X ( K ) \rightarrow X _ { 0 } ( k )$ ; confidence 0.991

102. a13029031.png ; $P \rightarrow \Sigma$ ; confidence 0.991

103. a01409051.png ; $\psi ( t _ { i } )$ ; confidence 0.991

104. a13032030.png ; $Y _ { i } = 2 X _ { i } - 1$ ; confidence 0.991

105. b11019019.png ; $x ^ { * } ( x ^ { * } y ) = x \wedge y$ ; confidence 0.991

106. b01740070.png ; $k ^ { \prime } = 1$ ; confidence 0.991

107. c0222907.png ; $\theta \leq 1 / 2$ ; confidence 0.991

108. c02515011.png ; $Y \in T _ { y } ( P )$ ; confidence 0.991

109. c025350104.png ; $B \rightarrow H$ ; confidence 0.991

110. c0257107.png ; $U = U ( x _ { 0 } )$ ; confidence 0.991

111. c02589013.png ; $( T ^ { * } ( t ) = T ( t ) )$ ; confidence 0.991

112. c02623020.png ; $c _ { 1 } = f ^ { \prime } ( 0 ) = 1$ ; confidence 0.991

113. d03125044.png ; $\phi : A \rightarrow A$ ; confidence 0.991

114. d033340195.png ; $\lambda _ { 3 } = K \sum _ { i j } \frac { \delta _ { i j } ^ { 2 } } { \sigma ^ { 2 } }$ ; confidence 0.991

115. d033530133.png ; $\zeta ( \sigma + i t ) \neq 0$ ; confidence 0.991

116. f03822036.png ; $Q \subset P ^ { 4 }$ ; confidence 0.991

117. f130100140.png ; $G = T$ ; confidence 0.991

118. f04105039.png ; $f \in L _ { 1 }$ ; confidence 0.991

119. f041250105.png ; $L _ { k } ( z _ { k } )$ ; confidence 0.991

120. f04127030.png ; $\alpha < \beta < \gamma$ ; confidence 0.991

121. f04179028.png ; $( n ! ) ^ { - 1 } n _ { D }$ ; confidence 0.991

122. h04797023.png ; $\mu ^ { * } : A ^ { * } \rightarrow A ^ { * } \otimes A ^ { * }$ ; confidence 0.991

123. h1103003.png ; $\psi ( x ) = \sum x ^ { \prime } \otimes x ^ { \prime \prime }$ ; confidence 0.991

124. k05585032.png ; $W _ { \alpha } ( P ) \subseteq ( D _ { \alpha } ) ^ { n }$ ; confidence 0.991

125. l12019010.png ; $\lambda _ { j } + \overline { \lambda } _ { k } = 0$ ; confidence 0.991

126. m06371076.png ; $\int _ { c } ^ { \infty } f ( x ) d x$ ; confidence 0.991

127. m11018050.png ; $J ( F G / I ) = 0$ ; confidence 0.991

128. m06525013.png ; $G _ { 1 } / N$ ; confidence 0.991

129. n067150152.png ; $A : G \rightarrow Y$ ; confidence 0.991

130. q07653051.png ; $x ^ { 1 } = 0$ ; confidence 0.991

131. r08093022.png ; $R _ { 0 } \subset F$ ; confidence 0.991

132. r08243011.png ; $\gamma _ { t } ( x + y ) = \sum _ { r = 0 } ^ { t } \gamma _ { r } ( x ) \gamma _ { t - r } ( y )$ ; confidence 0.991

133. a13013040.png ; $Q ^ { ( n ) } = \sum _ { j = 0 } ^ { n } Q _ { j } z ^ { n - j }$ ; confidence 0.991

134. a11042066.png ; $\alpha : K _ { 0 } ( A ) \rightarrow K _ { 0 } ( B )$ ; confidence 0.991

135. a11042064.png ; $( K _ { 0 } ( A ) , K _ { 0 } ( A ) ^ { + } , \Sigma ( A ) )$ ; confidence 0.990

136. a01024055.png ; $L \subset F$ ; confidence 0.990

137. a1200203.png ; $A \subset Y$ ; confidence 0.990

138. b015350372.png ; $\{ \xi _ { t } \}$ ; confidence 0.990

139. b11040029.png ; $F ^ { 2 } = \beta ^ { 2 } \operatorname { exp } \{ \frac { I \gamma } { \beta } \}$ ; confidence 0.990

140. b11042055.png ; $\mu \in R$ ; confidence 0.990

141. b01655023.png ; $\mu _ { n } ( t ) = 0$ ; confidence 0.990

142. c02480058.png ; $D \subset D _ { 1 }$ ; confidence 0.990

143. c02687095.png ; $D U$ ; confidence 0.990

144. d11022035.png ; $L y = g$ ; confidence 0.990

145. e03556014.png ; $y ^ { \prime } ( 0 ) = 0$ ; confidence 0.990

146. e11010022.png ; $o ( G )$ ; confidence 0.990

147. f04052043.png ; $| x - x _ { 0 } | \leq b$ ; confidence 0.990

148. h046300124.png ; $P _ { n - k }$ ; confidence 0.990

149. h11040046.png ; $\int _ { X } | f ( x ) | ^ { 2 } \operatorname { ln } | f ( x ) | d \mu ( x ) \leq$ ; confidence 0.990

150. i13003026.png ; $[ T ^ { * } M ]$ ; confidence 0.990

151. k05535065.png ; $K _ { 0 } ^ { 4 k + 2 }$ ; confidence 0.990

152. k055610105.png ; $Q _ { 1 } : A \rightarrow T ^ { \prime } A T$ ; confidence 0.990

153. k055840354.png ; $C = C ^ { * }$ ; confidence 0.990

154. l05744010.png ; $D = 2 \gamma k T / M$ ; confidence 0.990

155. m063240457.png ; $\mu _ { i } ( X _ { i } ) = 1$ ; confidence 0.990

156. p074140115.png ; $1 \leq p \leq n / 2$ ; confidence 0.990

157. p074150292.png ; $f \in C$ ; confidence 0.990

158. r08146090.png ; $l _ { i } = \lambda _ { i } + n - i$ ; confidence 0.990

159. r08216057.png ; $N = 0$ ; confidence 0.990

160. s087450113.png ; $\sum b _ { j } \phi _ { l } ( t _ { j } ) = 0$ ; confidence 0.990

161. t13021052.png ; $2 / ( 3 N / 2 )$ ; confidence 0.990

162. w09771067.png ; $N _ { G } ( T ) / Z _ { G } ( T )$ ; confidence 0.990

163. a11042050.png ; $( K _ { 0 } ( A ) , K _ { 0 } ( A ) ^ { + } , \Sigma ( A ) )$ ; confidence 0.990

164. t120010148.png ; $T ^ { 2 } \times SO ( 3 )$ ; confidence 0.990

165. t12001032.png ; $g ( \xi ^ { \alpha } , \xi ^ { b } ) = \delta _ { \alpha b }$ ; confidence 0.989

166. a1101706.png ; $\phi : \Omega \rightarrow \Omega _ { t }$ ; confidence 0.989

167. a01165078.png ; $H \times H \rightarrow H$ ; confidence 0.989

168. b1302903.png ; $d = \operatorname { dim } A$ ; confidence 0.989

169. c02092043.png ; $x = x ^ { 0 }$ ; confidence 0.989

170. c023550235.png ; $\beta Y \backslash Y$ ; confidence 0.989

171. c02547051.png ; $\alpha \wedge ( d \alpha ) ^ { n }$ ; confidence 0.989

172. e03653023.png ; $t h$ ; confidence 0.989

173. e12023058.png ; $E ( L ) = \frac { \partial L } { \partial y } - D ( \frac { \partial L } { \partial y ^ { \prime } } )$ ; confidence 0.989

174. g043020283.png ; $S ( M ^ { \prime } ) \subset M ^ { \prime }$ ; confidence 0.989

175. h046420189.png ; $f = f _ { 1 } * f _ { 2 }$ ; confidence 0.989

176. h04852064.png ; $| f | = 1$ ; confidence 0.989

177. i05040021.png ; $[ t ^ { n } : t ^ { n - 1 } ] = 0$ ; confidence 0.989

178. i05211013.png ; $T \subset R ^ { 1 }$ ; confidence 0.989

179. i05294039.png ; $F _ { t } : M ^ { n } \rightarrow M ^ { n }$ ; confidence 0.989

180. k12006031.png ; $h ^ { 0 } ( K _ { X } \otimes L ^ { * } )$ ; confidence 0.989

181. l110170115.png ; $Q \alpha = Q \beta \gamma$ ; confidence 0.989

182. m06249090.png ; $\alpha _ { \epsilon } ( h ) = o ( h )$ ; confidence 0.989

183. m06314076.png ; $x _ { 3 } = z$ ; confidence 0.989

184. m06380081.png ; $\sigma ( W )$ ; confidence 0.989

185. r08143084.png ; $A = A _ { 1 } \times A _ { 2 }$ ; confidence 0.989

186. s086520138.png ; $\theta _ { T } = \theta$ ; confidence 0.989

187. s08665020.png ; $i > 2 n - 1$ ; confidence 0.989

188. t09265019.png ; $u x + v x ^ { 2 } + w x ^ { 3 } + t x ^ { 4 }$ ; confidence 0.989

189. t09465038.png ; $\forall v \phi$ ; confidence 0.989

190. a130240396.png ; $M _ { H }$ ; confidence 0.989

191. a110420143.png ; $1$ ; confidence 0.989

192. a1300104.png ; $d ( A , B ) : B ^ { A } \cong A ^ { * } B ^ { * }$ ; confidence 0.988

193. a11042068.png ; $\alpha ( \Sigma ( A ) ) = \Sigma ( B )$ ; confidence 0.988

194. a01294081.png ; $f \in F$ ; confidence 0.988

195. b01729088.png ; $A = R ( X )$ ; confidence 0.988

196. b120420159.png ; $\lambda _ { W } : V \otimes W \rightarrow W \otimes V$ ; confidence 0.988

197. c02412084.png ; $\int _ { - \infty } ^ { \infty } ( P ( x ) / Q ( x ) ) d x$ ; confidence 0.988

198. c02499018.png ; $\int _ { - \pi } ^ { \pi } f ( x ) d x = 0$ ; confidence 0.988

199. c11041077.png ; $B _ { 1 }$ ; confidence 0.988

200. d03311036.png ; $| \{ Z \} _ { n } | \rightarrow \infty$ ; confidence 0.988

201. f041060172.png ; $X ^ { \prime } \subset X$ ; confidence 0.988

202. g043020256.png ; $C ^ { ( 0 ) }$ ; confidence 0.988

203. h04721080.png ; $X _ { 1 } \cap Y _ { 1 } = \emptyset$ ; confidence 0.988

204. i11008014.png ; $g \in E$ ; confidence 0.988

205. m063240221.png ; $E \in S ( R )$ ; confidence 0.988

206. m06400065.png ; $W ( N )$ ; confidence 0.988

207. n06634047.png ; $X _ { i } \subset \Delta _ { 1 } ^ { i }$ ; confidence 0.988

208. r110010167.png ; $k ( \pi )$ ; confidence 0.988

209. s08742011.png ; $H = H _ { V } ( \omega )$ ; confidence 0.988

210. s08780026.png ; $x + C$ ; confidence 0.988

211. a11042055.png ; $K _ { 0 } ( A ) ^ { + }$ ; confidence 0.988

212. t120010147.png ; $T ^ { 2 } \times \operatorname { Sp } ( 1 )$ ; confidence 0.987

213. a130240431.png ; $a ^ { \prime } \Theta$ ; confidence 0.987

214. a110010138.png ; $\sigma _ { i } ( A ) - \sigma _ { 1 } ( \delta A ) \leq \sigma _ { i } ( A + \delta A ) \leq \sigma _ { i } ( A ) + \sigma _ { i } ( \delta A )$ ; confidence 0.987

215. a1101003.png ; $V$ ; confidence 0.987

216. a01081069.png ; $U _ { j } ^ { * } ( \xi )$ ; confidence 0.987

217. a01152036.png ; $V ^ { 1 }$ ; confidence 0.987

218. b11038019.png ; $w = \pi ( z )$ ; confidence 0.987

219. b11042087.png ; $\overline { B } ^ { \nu }$ ; confidence 0.987

220. b11064038.png ; $X _ { 1 } \times X _ { 2 }$ ; confidence 0.987

221. c022780545.png ; $B P \square ^ { * } ( B P )$ ; confidence 0.987

222. c12030042.png ; $u : H \rightarrow H ^ { \prime }$ ; confidence 0.987

223. d13009051.png ; $u > 1$ ; confidence 0.987

224. e12006038.png ; $Y \rightarrow J ^ { 1 } Y$ ; confidence 0.987

225. e03717072.png ; $r < | z | < 1$ ; confidence 0.987

226. f04096055.png ; $x ^ { i } \in R$ ; confidence 0.987

227. g13003082.png ; $\Gamma \subset \Omega$ ; confidence 0.987

228. h13009035.png ; $g \rightarrow g$ ; confidence 0.987

229. l05814017.png ; $v = v ( t )$ ; confidence 0.987

230. m06391025.png ; $\{ p _ { \theta } ( \omega ) = \frac { d p } { d \mu } ( \omega ) : \theta \in \Theta \}$ ; confidence 0.987

231. o06821028.png ; $X = \sum _ { i } X ^ { i } \partial / \partial x ^ { i }$ ; confidence 0.987

232. p072930108.png ; $u \in C ^ { 2 } ( D )$ ; confidence 0.987

233. r11002077.png ; $T w | K v$ ; confidence 0.987

234. r08019033.png ; $U$ ; confidence 0.987

235. s13002040.png ; $g _ { t } ( u )$ ; confidence 0.987

236. t09265044.png ; $c < 2$ ; confidence 0.987

237. u09541013.png ; $U _ { n } ( K )$ ; confidence 0.987

238. v1300709.png ; $\vec { V }$ ; confidence 0.987

239. a110420107.png ; $\tau : A \rightarrow C$ ; confidence 0.987

240. a01055060.png ; $\partial X ^ { \prime \prime }$ ; confidence 0.986

241. a12012024.png ; $7$ ; confidence 0.986

242. a11032019.png ; $z \rightarrow 0$ ; confidence 0.986

243. a011600249.png ; $L / K$ ; confidence 0.986

244. a01359029.png ; $\Phi ^ { ( 3 ) } ( x )$ ; confidence 0.986

245. b0152808.png ; $\lambda _ { 0 } + \ldots + \lambda _ { n } = 1$ ; confidence 0.986

246. c022780445.png ; $M U ^ { * } ( X )$ ; confidence 0.986

247. d03195029.png ; $W _ { 2 } ^ { p }$ ; confidence 0.986

248. d032100109.png ; $\dot { x } ( t ) = A x ( t - h ) - D x ( t )$ ; confidence 0.986

249. d1203201.png ; $T : L ^ { 1 } \rightarrow X$ ; confidence 0.986

250. h04756028.png ; $f ^ { - 1 } \circ f ( z ) = z$ ; confidence 0.986

251. k05544031.png ; $\Delta u = - f ( x )$ ; confidence 0.986

252. l06060022.png ; $\int \frac { d x } { x } = \operatorname { ln } | x | + C$ ; confidence 0.986

253. s11029032.png ; $t / \lambda ^ { 2 } \rightarrow + \infty$ ; confidence 0.986

254. s09026037.png ; $d x = A ( t ) x d t + B ( t ) d w ( t )$ ; confidence 0.986

255. s09045037.png ; $W ^ { ( n ) } ( s )$ ; confidence 0.986

256. u09562096.png ; $\sum _ { k = 1 } ^ { \infty } | \alpha _ { k } | ^ { 2 } = \frac { 1 } { 2 \pi } \int _ { 0 } ^ { 2 \pi } | f ( e ^ { i t } ) | ^ { 2 } d t \leq 1$ ; confidence 0.986

257. a130240545.png ; $2$ ; confidence 0.985

258. a130050246.png ; $Z _ { G } ( - q ^ { - 1 } ) \neq 0$ ; confidence 0.985

259. a11010055.png ; $C _ { W } ( X )$ ; confidence 0.985

260. a011650408.png ; $\Omega _ { p } ^ { * } = \Omega _ { p } \cup \{ F _ { i } ^ { * } : F _ { i } \in \Omega _ { f } \}$ ; confidence 0.985

261. a11070080.png ; $\Omega ^ { p } [ V ]$ ; confidence 0.985

262. b0165404.png ; $B = \{ b _ { i } : i \in I \}$ ; confidence 0.985

263. b01681038.png ; $n ( z ) = n _ { 0 } e ^ { - m g z / k T }$ ; confidence 0.985

264. b01692023.png ; $( x \vee C x ) \wedge y = y$ ; confidence 0.985

265. b12051029.png ; $\operatorname { lim } _ { n \rightarrow \infty } \nabla f ( x _ { n } ) = 0$ ; confidence 0.985

266. c110400102.png ; $M ^ { \perp } = \{ x \in G$ ; confidence 0.985

267. e12010055.png ; $E ^ { \prime } = 0$ ; confidence 0.985

268. i13005080.png ; $s > - \infty$ ; confidence 0.985

269. k05570017.png ; $A _ { t } ^ { * }$ ; confidence 0.985

270. l057050113.png ; $\overline { B } \rightarrow \overline { B }$ ; confidence 0.985

271. m062160147.png ; $\kappa = \mu ^ { * }$ ; confidence 0.985

272. m06398045.png ; $\| x _ { k } - x ^ { * } \| \leq C q ^ { k }$ ; confidence 0.985

273. m064430134.png ; $w = \lambda ( z )$ ; confidence 0.985

274. o11003071.png ; $I _ { p } ( L )$ ; confidence 0.985

275. o0684606.png ; $x ( t _ { 1 } ) = x ^ { 1 } \in R ^ { n }$ ; confidence 0.985

276. p07235016.png ; $h > 1$ ; confidence 0.985

277. p07519013.png ; $x ^ { i } = y ^ { i } \lambda$ ; confidence 0.985

278. r0770601.png ; $\Delta u + k ^ { 2 } u = - f$ ; confidence 0.985

279. r0825605.png ; $V = 5$ ; confidence 0.985

280. s08696095.png ; $k \leq p \leq n$ ; confidence 0.985

281. w11012047.png ; $( D ) \leq c \text { length } ( C )$ ; confidence 0.985

282. a130240342.png ; $Y , B , E$ ; confidence 0.984

283. a13004089.png ; $D$ ; confidence 0.984

284. a01070020.png ; $\beta : S \rightarrow B / L$ ; confidence 0.984

285. a11040023.png ; $T ^ { * }$ ; confidence 0.984

286. a01137073.png ; $\{ U _ { i } \}$ ; confidence 0.984

287. c020890175.png ; $F ^ { - } ( \zeta _ { 0 } )$ ; confidence 0.984

288. c02266091.png ; $\mu _ { 2 } ( C R ) = 0$ ; confidence 0.984

289. c02312031.png ; $x g = \lambda x$ ; confidence 0.984

290. c025140196.png ; $X : B \rightarrow T B$ ; confidence 0.984

291. c02560042.png ; $\frac { d u } { d \lambda } = - \phi ^ { \prime } ( u ) ^ { - 1 } \phi ( u ^ { 0 } )$ ; confidence 0.984

292. e13003029.png ; $K _ { \infty }$ ; confidence 0.984

293. i05072015.png ; $\eta : Y \rightarrow B$ ; confidence 0.984

294. i05156047.png ; $| t - \tau |$ ; confidence 0.984

295. i05187033.png ; $T _ { W } ^ { 2 k + 1 } ( X )$ ; confidence 0.984

296. i05252091.png ; $f ( x ^ { * } x ) \leq f ( 1 ) r ( x ^ { * } x )$ ; confidence 0.984

297. m11002071.png ; $f \circ R _ { 1 } = R _ { 2 } \circ f$ ; confidence 0.984

298. m064700127.png ; $t \in P ^ { 1 }$ ; confidence 0.984

299. n06698028.png ; $Q ^ { \prime } \subset Q$ ; confidence 0.984

300. o070070117.png ; $\{ Z _ { n } \}$ ; confidence 0.984

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/3. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/3&oldid=43833