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(AUTOMATIC EDIT of page 6 out of 11 with 300 lines: Updated image/latex database (currently 3083 images latexified; order by Confidence, ascending: False.)
 
(AUTOMATIC EDIT of page 6 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/f/f040/f040820/f040820110.png ; $$f _ { i } ( X ) = X _ { i } + \ldots$$ ; confidence 0.733
+
1. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820110.png ; $f _ { i } ( X ) = X _ { i } + \ldots$ ; confidence 0.733
  
2. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820173.png ; $$F ( \overline { m } )$$ ; confidence 0.760
+
2. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820173.png ; $F ( \overline { m } )$ ; confidence 0.760
  
3. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040830/f0408302.png ; $$\omega = \alpha _ { 1 } \ldots \alpha _ { k }$$ ; confidence 0.633
+
3. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040830/f0408302.png ; $\omega = \alpha _ { 1 } \ldots \alpha _ { k }$ ; confidence 0.633
  
4. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040850/f040850279.png ; $$V _ { 1 } ^ { * }$$ ; confidence 0.750
+
4. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040850/f040850279.png ; $V _ { 1 } ^ { * }$ ; confidence 0.750
  
5. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040850/f040850143.png ; $$\{ \lambda \}$$ ; confidence 1.000
+
5. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040850/f040850143.png ; $\{ \lambda \}$ ; confidence 1.000
  
6. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040850/f040850122.png ; $$A \rightarrow w$$ ; confidence 0.934
+
6. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040850/f040850122.png ; $A \rightarrow w$ ; confidence 0.934
  
7. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040850/f04085058.png ; $$\sigma ( \alpha ) = \{ w \}$$ ; confidence 0.997
+
7. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040850/f04085058.png ; $\sigma ( \alpha ) = \{ w \}$ ; confidence 0.997
  
8. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040960/f04096043.png ; $$I V _ { 2 }$$ ; confidence 0.996
+
8. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040960/f04096043.png ; $I V _ { 2 }$ ; confidence 0.996
  
9. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040960/f04096055.png ; $$x ^ { i } \in R$$ ; confidence 0.987
+
9. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040960/f04096055.png ; $x ^ { i } \in R$ ; confidence 0.987
  
10. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041000/f0410005.png ; $$J _ { \nu }$$ ; confidence 0.556
+
10. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041000/f0410005.png ; $J _ { \nu }$ ; confidence 0.556
  
11. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120090/f12009069.png ; $$F \mu$$ ; confidence 0.813
+
11. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120090/f12009069.png ; $F \mu$ ; confidence 0.813
  
12. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041140/f04114018.png ; $$P ( x ) = \frac { 1 } { \sqrt { 2 \pi } } F ( x )$$ ; confidence 1.000
+
12. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041140/f04114018.png ; $P ( x ) = \frac { 1 } { \sqrt { 2 \pi } } F ( x )$ ; confidence 1.000
  
13. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120080/f120080162.png ; $$L _ { q } ( X )$$ ; confidence 0.846
+
13. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120080/f120080162.png ; $L _ { q } ( X )$ ; confidence 0.846
  
14. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120080/f120080135.png ; $$\Lambda _ { G } = 1$$ ; confidence 0.897
+
14. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120080/f120080135.png ; $\Lambda _ { G } = 1$ ; confidence 0.897
  
15. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120100/f12010041.png ; $$( 8 \times 8 )$$ ; confidence 1.000
+
15. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120100/f12010041.png ; $( 8 \times 8 )$ ; confidence 1.000
  
16. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f12011010.png ; $$| \varphi ( z ) | ^ { 2 } e ^ { \delta | z | }$$ ; confidence 0.840
+
16. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f12011010.png ; $| \varphi ( z ) | ^ { 2 } e ^ { \delta | z | }$ ; confidence 0.840
  
17. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f120110126.png ; $$F ( z ) = - \frac { 1 } { 2 \pi i } \int \frac { \operatorname { exp } e ^ { \zeta ^ { 2 } } } { \zeta - z } d \zeta$$ ; confidence 0.622
+
17. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f120110126.png ; $F ( z ) = - \frac { 1 } { 2 \pi i } \int \frac { \operatorname { exp } e ^ { \zeta ^ { 2 } } } { \zeta - z } d \zeta$ ; confidence 0.622
  
18. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041050/f04105039.png ; $$f \in L _ { 1 }$$ ; confidence 0.991
+
18. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041050/f04105039.png ; $f \in L _ { 1 }$ ; confidence 0.991
  
19. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041060/f04106025.png ; $$\phi \in C _ { 0 } ^ { \infty } ( \Omega )$$ ; confidence 0.997
+
19. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041060/f04106025.png ; $\phi \in C _ { 0 } ^ { \infty } ( \Omega )$ ; confidence 0.997
  
20. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041060/f041060172.png ; $$X ^ { \prime } \subset X$$ ; confidence 0.988
+
20. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041060/f041060172.png ; $X ^ { \prime } \subset X$ ; confidence 0.988
  
21. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041060/f041060187.png ; $$K _ { j } \times R ^ { N j }$$ ; confidence 0.562
+
21. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041060/f041060187.png ; $K _ { j } \times R ^ { N j }$ ; confidence 0.562
  
22. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041060/f041060205.png ; $$d _ { C } ^ { - 1 } = \operatorname { det } \left\| \begin{array} { c c } { \phi _ { \theta } \theta } & { \phi _ { \theta x } } \\ { \phi _ { y } \theta } & { \phi _ { y x } } \end{array} \right\|$$ ; confidence 0.370
+
22. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041060/f041060205.png ; $d _ { C } ^ { - 1 } = \operatorname { det } \left\| \begin{array} { c c } { \phi _ { \theta } \theta } & { \phi _ { \theta x } } \\ { \phi _ { y } \theta } & { \phi _ { y x } } \end{array} \right\|$ ; confidence 0.370
  
23. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041160/f04116031.png ; $$\alpha = - b$$ ; confidence 0.947
+
23. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041160/f04116031.png ; $\alpha = - b$ ; confidence 0.947
  
24. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041170/f04117079.png ; $$f * g$$ ; confidence 0.637
+
24. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041170/f04117079.png ; $f * g$ ; confidence 0.637
  
25. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041170/f04117026.png ; $$K = D$$ ; confidence 0.998
+
25. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041170/f04117026.png ; $K = D$ ; confidence 0.998
  
26. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041170/f04117046.png ; $$F [ \delta ] = 1$$ ; confidence 0.999
+
26. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041170/f04117046.png ; $F [ \delta ] = 1$ ; confidence 0.999
  
27. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041170/f041170108.png ; $$\eta \in \operatorname { ln } t \Gamma ^ { \prime }$$ ; confidence 0.642
+
27. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041170/f041170108.png ; $\eta \in \operatorname { ln } t \Gamma ^ { \prime }$ ; confidence 0.642
  
28. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041250/f04125082.png ; $$\xi _ { 1 } \neq \infty$$ ; confidence 0.999
+
28. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041250/f04125082.png ; $\xi _ { 1 } \neq \infty$ ; confidence 0.999
  
29. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041250/f0412503.png ; $$z \rightarrow w = L ( z ) = \frac { a z + b } { c z + d }$$ ; confidence 0.834
+
29. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041250/f0412503.png ; $z \rightarrow w = L ( z ) = \frac { a z + b } { c z + d }$ ; confidence 0.834
  
30. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041250/f041250105.png ; $$L _ { k } ( z _ { k } )$$ ; confidence 0.991
+
30. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041250/f041250105.png ; $L _ { k } ( z _ { k } )$ ; confidence 0.991
  
31. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041250/f0412506.png ; $$\infty \rightarrow \alpha / c$$ ; confidence 0.864
+
31. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041250/f0412506.png ; $\infty \rightarrow \alpha / c$ ; confidence 0.864
  
32. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041210/f0412109.png ; $$A / \eta$$ ; confidence 0.702
+
32. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041210/f0412109.png ; $A / \eta$ ; confidence 0.702
  
33. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041270/f04127048.png ; $$D ( B ) \supset D ( A )$$ ; confidence 0.993
+
33. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041270/f04127048.png ; $D ( B ) \supset D ( A )$ ; confidence 0.993
  
34. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041270/f04127030.png ; $$\alpha < \beta < \gamma$$ ; confidence 0.991
+
34. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041270/f04127030.png ; $\alpha < \beta < \gamma$ ; confidence 0.991
  
35. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041270/f04127050.png ; $$x \in D ( A )$$ ; confidence 0.906
+
35. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041270/f04127050.png ; $x \in D ( A )$ ; confidence 0.906
  
36. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041310/f04131029.png ; $$\Lambda = \frac { \partial } { \partial x } + i \frac { \partial } { \partial y }$$ ; confidence 0.855
+
36. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041310/f04131029.png ; $\Lambda = \frac { \partial } { \partial x } + i \frac { \partial } { \partial y }$ ; confidence 0.855
  
37. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041310/f04131016.png ; $$\eta = \frac { ( \alpha ^ { 2 } - \rho ^ { 2 } ) ^ { 1 / 2 } ( \alpha ^ { 2 } - \rho _ { 0 } ^ { 2 } ) ^ { 1 / 2 } } { \alpha }$$ ; confidence 0.628
+
37. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041310/f04131016.png ; $\eta = \frac { ( \alpha ^ { 2 } - \rho ^ { 2 } ) ^ { 1 / 2 } ( \alpha ^ { 2 } - \rho _ { 0 } ^ { 2 } ) ^ { 1 / 2 } } { \alpha }$ ; confidence 0.628
  
38. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041320/f04132023.png ; $$v _ { 0 } ^ { k }$$ ; confidence 0.384
+
38. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041320/f04132023.png ; $v _ { 0 } ^ { k }$ ; confidence 0.384
  
39. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120130/f12013083.png ; $$| \Phi ( G )$$ ; confidence 0.956
+
39. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120130/f12013083.png ; $| \Phi ( G )$ ; confidence 0.956
  
40. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110160/f110160161.png ; $$\mathfrak { A } \sim _ { l } \mathfrak { B }$$ ; confidence 0.922
+
40. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110160/f110160161.png ; $\mathfrak { A } \sim _ { l } \mathfrak { B }$ ; confidence 0.922
  
41. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041420/f04142082.png ; $$D ( \lambda ) \neq 0$$ ; confidence 0.997
+
41. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041420/f04142082.png ; $D ( \lambda ) \neq 0$ ; confidence 0.997
  
42. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041420/f041420175.png ; $$| \lambda | < B ^ { - 1 }$$ ; confidence 0.997
+
42. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041420/f041420175.png ; $| \lambda | < B ^ { - 1 }$ ; confidence 0.997
  
43. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f12015043.png ; $$\beta ( A ) < \infty$$ ; confidence 0.997
+
43. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f12015043.png ; $\beta ( A ) < \infty$ ; confidence 0.997
  
44. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f12015010.png ; $$R ( A )$$ ; confidence 1.000
+
44. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f12015010.png ; $R ( A )$ ; confidence 1.000
  
45. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f120150156.png ; $$\beta ( A - K ) < \infty$$ ; confidence 0.999
+
45. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f120150156.png ; $\beta ( A - K ) < \infty$ ; confidence 0.999
  
46. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f120150202.png ; $$n \| < C$$ ; confidence 0.368
+
46. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f120150202.png ; $n \| < C$ ; confidence 0.368
  
47. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f12015012.png ; $$\beta ( A ) : = \operatorname { codim } R ( A ) < \infty$$ ; confidence 0.981
+
47. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f12015012.png ; $\beta ( A ) : = \operatorname { codim } R ( A ) < \infty$ ; confidence 0.981
  
48. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041510/f04151086.png ; $$( r \geq 1 )$$ ; confidence 1.000
+
48. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041510/f04151086.png ; $( r \geq 1 )$ ; confidence 1.000
  
49. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041570/f04157048.png ; $$x _ { 1 } ( t ) + x _ { 2 } ( t ) = A ( t ) \operatorname { cos } ( \omega _ { 1 } t + \phi ( t ) )$$ ; confidence 0.965
+
49. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041570/f04157048.png ; $x _ { 1 } ( t ) + x _ { 2 } ( t ) = A ( t ) \operatorname { cos } ( \omega _ { 1 } t + \phi ( t ) )$ ; confidence 0.965
  
50. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041580/f04158014.png ; $$( x M ) ( M ^ { - 1 } y )$$ ; confidence 0.999
+
50. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041580/f04158014.png ; $( x M ) ( M ^ { - 1 } y )$ ; confidence 0.999
  
51. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041620/f04162020.png ; $$X _ { i } \cap X _ { j } =$$ ; confidence 0.322
+
51. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041620/f04162020.png ; $X _ { i } \cap X _ { j } =$ ; confidence 0.322
  
52. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120190/f12019028.png ; $$C _ { G } ( n ) \leq N$$ ; confidence 0.972
+
52. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120190/f12019028.png ; $C _ { G } ( n ) \leq N$ ; confidence 0.972
  
53. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120190/f12019010.png ; $$N = \{ G \backslash ( \cup _ { x \in G } x ^ { - 1 } H x ) \} \cup \{ 1 \}$$ ; confidence 0.269
+
53. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120190/f12019010.png ; $N = \{ G \backslash ( \cup _ { x \in G } x ^ { - 1 } H x ) \} \cup \{ 1 \}$ ; confidence 0.269
  
54. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f12021089.png ; $$\pi ( \lambda ) = ( \lambda + 2 ) ( \lambda + 1 ) \alpha ^ { 2 } 0 + ( \lambda + 1 ) \alpha ^ { 1 } 0 + a ^ { 0 } =$$ ; confidence 0.071
+
54. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f12021089.png ; $\pi ( \lambda ) = ( \lambda + 2 ) ( \lambda + 1 ) \alpha ^ { 2 } 0 + ( \lambda + 1 ) \alpha ^ { 1 } 0 + a ^ { 0 } =$ ; confidence 0.071
  
55. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f1202105.png ; $$| z | < r$$ ; confidence 0.957
+
55. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f1202105.png ; $| z | < r$ ; confidence 0.957
  
56. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f12021069.png ; $$= \frac { ( n _ { 1 } + l ) ! } { ! ! } ( \operatorname { log } z ) ^ { l } z ^ { \lambda _ { 2 } } + \ldots$$ ; confidence 0.665
+
56. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f12021069.png ; $= \frac { ( n _ { 1 } + l ) ! } { ! ! } ( \operatorname { log } z ) ^ { l } z ^ { \lambda _ { 2 } } + \ldots$ ; confidence 0.665
  
57. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f12021085.png ; $$\lambda = \lambda _ { j }$$ ; confidence 0.911
+
57. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f12021085.png ; $\lambda = \lambda _ { j }$ ; confidence 0.911
  
58. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041790/f04179028.png ; $$( n ! ) ^ { - 1 } n _ { D }$$ ; confidence 0.991
+
58. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041790/f04179028.png ; $( n ! ) ^ { - 1 } n _ { D }$ ; confidence 0.991
  
59. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110180/f11018097.png ; $$\| x \| _ { p } = \int _ { 0 } ^ { 1 } | x ( t ) | ^ { p } d t$$ ; confidence 0.742
+
59. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110180/f11018097.png ; $\| x \| _ { p } = \int _ { 0 } ^ { 1 } | x ( t ) | ^ { p } d t$ ; confidence 0.742
  
60. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110180/f110180102.png ; $$0 < p _ { n } \rightarrow 0$$ ; confidence 0.998
+
60. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110180/f110180102.png ; $0 < p _ { n } \rightarrow 0$ ; confidence 0.998
  
61. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f120230136.png ; $$J : T M \rightarrow T M$$ ; confidence 0.972
+
61. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f120230136.png ; $J : T M \rightarrow T M$ ; confidence 0.972
  
62. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041880/f04188062.png ; $$V _ { 0 } ( z )$$ ; confidence 0.971
+
62. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041880/f04188062.png ; $V _ { 0 } ( z )$ ; confidence 0.971
  
63. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041890/f041890119.png ; $$x \in R \cup \{ \infty \}$$ ; confidence 0.764
+
63. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041890/f041890119.png ; $x \in R \cup \{ \infty \}$ ; confidence 0.764
  
64. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041890/f0418904.png ; $$D = \{ z \in C : | z | < 1 \}$$ ; confidence 0.972
+
64. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041890/f0418904.png ; $D = \{ z \in C : | z | < 1 \}$ ; confidence 0.972
  
65. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041890/f04189063.png ; $$\chi ( \Delta ) = \chi ( \Gamma ) [ \Gamma : \Delta ]$$ ; confidence 0.999
+
65. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041890/f04189063.png ; $\chi ( \Delta ) = \chi ( \Gamma ) [ \Gamma : \Delta ]$ ; confidence 0.999
  
66. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041940/f041940314.png ; $$L _ { p } ( X )$$ ; confidence 0.970
+
66. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041940/f041940314.png ; $L _ { p } ( X )$ ; confidence 0.970
  
67. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041940/f041940175.png ; $$S \subset T$$ ; confidence 0.743
+
67. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041940/f041940175.png ; $S \subset T$ ; confidence 0.743
  
68. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041940/f041940310.png ; $$A \in \mathfrak { S }$$ ; confidence 0.285
+
68. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041940/f041940310.png ; $A \in \mathfrak { S }$ ; confidence 0.285
  
69. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041950/f041950110.png ; $$f \in N ( \Delta )$$ ; confidence 0.997
+
69. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041950/f041950110.png ; $f \in N ( \Delta )$ ; confidence 0.997
  
70. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120240/f1202409.png ; $$t \mapsto t + T$$ ; confidence 0.520
+
70. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120240/f1202409.png ; $t \mapsto t + T$ ; confidence 0.520
  
71. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042030/f04203082.png ; $$T _ { \rightarrow } V ^ { - 1 } T V$$ ; confidence 0.437
+
71. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042030/f04203082.png ; $T _ { \rightarrow } V ^ { - 1 } T V$ ; confidence 0.437
  
72. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042060/f04206038.png ; $$P ( C A )$$ ; confidence 0.999
+
72. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042060/f04206038.png ; $P ( C A )$ ; confidence 0.999
  
73. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042060/f04206074.png ; $$f ( - x ) = - f ( x )$$ ; confidence 1.000
+
73. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042060/f04206074.png ; $f ( - x ) = - f ( x )$ ; confidence 1.000
  
74. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042060/f042060121.png ; $$\mathfrak { g } \otimes \mathfrak { g } \rightarrow U \mathfrak { g } \otimes U \mathfrak { g } \otimes U _ { \mathfrak { g } }$$ ; confidence 0.207
+
74. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042060/f042060121.png ; $\mathfrak { g } \otimes \mathfrak { g } \rightarrow U \mathfrak { g } \otimes U \mathfrak { g } \otimes U _ { \mathfrak { g } }$ ; confidence 0.207
  
75. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042070/f04207074.png ; $$T _ { N } ( t )$$ ; confidence 0.993
+
75. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042070/f04207074.png ; $T _ { N } ( t )$ ; confidence 0.993
  
76. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042120/f04212073.png ; $$\frac { \partial w } { \partial z } + A ( z ) w + B ( z ) \overline { w } = F ( z )$$ ; confidence 0.777
+
76. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042120/f04212073.png ; $\frac { \partial w } { \partial z } + A ( z ) w + B ( z ) \overline { w } = F ( z )$ ; confidence 0.777
  
77. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042150/f04215011.png ; $$\left. \begin{array} { l l } { F _ { 1 } ( A ) } & { \frac { F _ { 1 } ( \alpha ) } { \rightarrow } } & { F _ { 1 } ( B ) } \\ { \phi _ { A } \downarrow } & { \square } & { \downarrow \phi _ { B } } \\ { F _ { 2 } ( A ) } & { \vec { F _ { 2 } ( \alpha ) } } & { F _ { 2 } ( B ) } \end{array} \right.$$ ; confidence 0.308
+
77. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042150/f04215011.png ; $\left. \begin{array} { l l } { F _ { 1 } ( A ) } & { \frac { F _ { 1 } ( \alpha ) } { \rightarrow } } & { F _ { 1 } ( B ) } \\ { \phi _ { A } \downarrow } & { \square } & { \downarrow \phi _ { B } } \\ { F _ { 2 } ( A ) } & { \vec { F _ { 2 } ( \alpha ) } } & { F _ { 2 } ( B ) } \end{array} \right.$ ; confidence 0.308
  
78. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042210/f04221073.png ; $$\tilde { f } : Y \rightarrow X$$ ; confidence 0.494
+
78. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042210/f04221073.png ; $\tilde { f } : Y \rightarrow X$ ; confidence 0.494
  
79. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042210/f04221056.png ; $$e _ { \lambda } ^ { 1 } \in X$$ ; confidence 0.877
+
79. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042210/f04221056.png ; $e _ { \lambda } ^ { 1 } \in X$ ; confidence 0.877
  
80. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110220/f11022029.png ; $$A ^ { p } \geq ( A ^ { p / 2 } B ^ { p } A ^ { p / 2 } ) ^ { 1 / 2 }$$ ; confidence 0.997
+
80. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110220/f11022029.png ; $A ^ { p } \geq ( A ^ { p / 2 } B ^ { p } A ^ { p / 2 } ) ^ { 1 / 2 }$ ; confidence 0.997
  
81. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f130290181.png ; $$LOC$$ ; confidence 0.417
+
81. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f130290181.png ; $LOC$ ; confidence 0.417
  
82. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043010/g04301029.png ; $$X \times F$$ ; confidence 0.480
+
82. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043010/g04301029.png ; $X \times F$ ; confidence 0.480
  
83. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020138.png ; $$\pi : P \rightarrow G \backslash P$$ ; confidence 0.994
+
83. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020138.png ; $\pi : P \rightarrow G \backslash P$ ; confidence 0.994
  
84. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020283.png ; $$S ( M ^ { \prime } ) \subset M ^ { \prime }$$ ; confidence 0.989
+
84. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020283.png ; $S ( M ^ { \prime } ) \subset M ^ { \prime }$ ; confidence 0.989
  
85. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020169.png ; $$H \mapsto C _ { A } ^ { \prime }$$ ; confidence 0.465
+
85. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020169.png ; $H \mapsto C _ { A } ^ { \prime }$ ; confidence 0.465
  
86. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020155.png ; $$V \oplus \mathfrak { g }$$ ; confidence 0.476
+
86. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020155.png ; $V \oplus \mathfrak { g }$ ; confidence 0.476
  
87. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020256.png ; $$C ^ { ( 0 ) }$$ ; confidence 0.988
+
87. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020256.png ; $C ^ { ( 0 ) }$ ; confidence 0.988
  
88. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020187.png ; $$\delta : G ^ { \prime } \rightarrow W$$ ; confidence 0.965
+
88. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020187.png ; $\delta : G ^ { \prime } \rightarrow W$ ; confidence 0.965
  
89. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043280/g0432806.png ; $$\mathfrak { x } \times x$$ ; confidence 0.416
+
89. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043280/g0432806.png ; $\mathfrak { x } \times x$ ; confidence 0.416
  
90. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043280/g04328069.png ; $$H _ { i } ( x ^ { \prime } ) > H _ { i } ( x ^ { \prime \prime } )$$ ; confidence 0.924
+
90. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043280/g04328069.png ; $H _ { i } ( x ^ { \prime } ) > H _ { i } ( x ^ { \prime \prime } )$ ; confidence 0.924
  
91. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043280/g0432804.png ; $$\hat { K } _ { i }$$ ; confidence 0.180
+
91. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043280/g0432804.png ; $\hat { K } _ { i }$ ; confidence 0.180
  
92. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043280/g0432802.png ; $$x$$ ; confidence 0.485
+
92. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043280/g0432802.png ; $x$ ; confidence 0.485
  
93. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043290/g0432908.png ; $$\alpha _ { k } = \frac { \Gamma ( \gamma + k + 1 ) } { \Gamma ( \gamma + 1 ) } \sqrt { \frac { \Gamma ( \alpha _ { 1 } + 1 ) \Gamma ( \alpha _ { 2 } + 1 ) } { \Gamma ( \alpha _ { 1 } + k + 1 ) \Gamma ( \alpha _ { 2 } + k + 1 ) } }$$ ; confidence 0.904
+
93. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043290/g0432908.png ; $\alpha _ { k } = \frac { \Gamma ( \gamma + k + 1 ) } { \Gamma ( \gamma + 1 ) } \sqrt { \frac { \Gamma ( \alpha _ { 1 } + 1 ) \Gamma ( \alpha _ { 2 } + 1 ) } { \Gamma ( \alpha _ { 1 } + k + 1 ) \Gamma ( \alpha _ { 2 } + k + 1 ) } }$ ; confidence 0.904
  
94. https://www.encyclopediaofmath.org/legacyimages/g/g110/g110050/g11005015.png ; $$\nu < \kappa$$ ; confidence 0.992
+
94. https://www.encyclopediaofmath.org/legacyimages/g/g110/g110050/g11005015.png ; $\nu < \kappa$ ; confidence 0.992
  
95. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043330/g04333080.png ; $$\omega = 1 / c ^ { 2 }$$ ; confidence 0.906
+
95. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043330/g04333080.png ; $\omega = 1 / c ^ { 2 }$ ; confidence 0.906
  
96. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043340/g04334048.png ; $$\sum _ { \Sigma } ^ { 3 } \square ^ { i \alpha } \neq 0$$ ; confidence 0.180
+
96. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043340/g04334048.png ; $\sum _ { \Sigma } ^ { 3 } \square ^ { i \alpha } \neq 0$ ; confidence 0.180
  
97. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043340/g04334058.png ; $$( \partial w / \partial t ) + ( \partial f / \partial x ) = ( h ^ { 2 } / 2 \tau ) ( \partial ^ { 2 } w / \partial x ^ { 2 } )$$ ; confidence 0.582
+
97. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043340/g04334058.png ; $( \partial w / \partial t ) + ( \partial f / \partial x ) = ( h ^ { 2 } / 2 \tau ) ( \partial ^ { 2 } w / \partial x ^ { 2 } )$ ; confidence 0.582
  
98. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043350/g04335040.png ; $$\frac { \pi \psi } { Q } = - \theta - \sum _ { n = 1 } ^ { \infty } \frac { 1 } { n } ( \frac { \tau } { \tau _ { 0 } } ) ^ { n } \frac { y _ { n } ( \tau ) } { y _ { n } ( \tau _ { 0 } ) } \operatorname { sin } 2 n \theta$$ ; confidence 0.914
+
98. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043350/g04335040.png ; $\frac { \pi \psi } { Q } = - \theta - \sum _ { n = 1 } ^ { \infty } \frac { 1 } { n } ( \frac { \tau } { \tau _ { 0 } } ) ^ { n } \frac { y _ { n } ( \tau ) } { y _ { n } ( \tau _ { 0 } ) } \operatorname { sin } 2 n \theta$ ; confidence 0.914
  
99. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043350/g04335015.png ; $$\beta = \frac { 1 } { \gamma - 1 }$$ ; confidence 0.992
+
99. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043350/g04335015.png ; $\beta = \frac { 1 } { \gamma - 1 }$ ; confidence 0.992
  
100. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043350/g04335037.png ; $$+ \beta n ( 2 n + 1 ) y _ { n } = 0$$ ; confidence 0.975
+
100. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043350/g04335037.png ; $+ \beta n ( 2 n + 1 ) y _ { n } = 0$ ; confidence 0.975
  
101. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120030/g12003011.png ; $$3 n + 2$$ ; confidence 1.000
+
101. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120030/g12003011.png ; $3 n + 2$ ; confidence 1.000
  
102. 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
+
102. 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
  
103. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043470/g0434707.png ; $$\nabla _ { \theta } : H _ { \delta R } ^ { 1 } ( X / K ) \rightarrow H _ { \partial R } ^ { 1 } ( X / K )$$ ; confidence 0.221
+
103. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043470/g0434707.png ; $\nabla _ { \theta } : H _ { \delta R } ^ { 1 } ( X / K ) \rightarrow H _ { \partial R } ^ { 1 } ( X / K )$ ; confidence 0.221
  
104. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043470/g04347036.png ; $$0 \rightarrow \phi ^ { 1 } / \phi ^ { 2 } \rightarrow \phi ^ { 0 } / \phi ^ { 2 } \rightarrow \phi ^ { 0 } / \phi ^ { 1 } \rightarrow 0$$ ; confidence 0.913
+
104. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043470/g04347036.png ; $0 \rightarrow \phi ^ { 1 } / \phi ^ { 2 } \rightarrow \phi ^ { 0 } / \phi ^ { 2 } \rightarrow \phi ^ { 0 } / \phi ^ { 1 } \rightarrow 0$ ; confidence 0.913
  
105. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043480/g0434807.png ; $$\alpha _ { 31 } / \alpha _ { 11 }$$ ; confidence 0.405
+
105. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043480/g0434807.png ; $\alpha _ { 31 } / \alpha _ { 11 }$ ; confidence 0.405
  
106. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043480/g0434801.png ; $$\quad f j ( x ) - \alpha j = \alpha _ { j 1 } x _ { 1 } + \ldots + \alpha _ { j n } x _ { n } - \alpha _ { j } = 0$$ ; confidence 0.057
+
106. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043480/g0434801.png ; $\quad f j ( x ) - \alpha j = \alpha _ { j 1 } x _ { 1 } + \ldots + \alpha _ { j n } x _ { n } - \alpha _ { j } = 0$ ; confidence 0.057
  
107. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043580/g04358023.png ; $$f _ { \zeta } ( \lambda )$$ ; confidence 0.821
+
107. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043580/g04358023.png ; $f _ { \zeta } ( \lambda )$ ; confidence 0.821
  
108. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043620/g0436207.png ; $$R [ F ( t ) ] = ( 1 - t ^ { 2 } ) F ^ { \prime \prime } - ( 2 \rho - 1 ) t F ^ { \prime \prime }$$ ; confidence 0.876
+
108. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043620/g0436207.png ; $R [ F ( t ) ] = ( 1 - t ^ { 2 } ) F ^ { \prime \prime } - ( 2 \rho - 1 ) t F ^ { \prime \prime }$ ; confidence 0.876
  
109. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043640/g04364030.png ; $$K ( y ) = \operatorname { sgn } y . | y | ^ { \alpha }$$ ; confidence 0.655
+
109. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043640/g04364030.png ; $K ( y ) = \operatorname { sgn } y . | y | ^ { \alpha }$ ; confidence 0.655
  
110. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g043780250.png ; $$\hbar \square ^ { * } ( M )$$ ; confidence 0.620
+
110. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g043780250.png ; $\hbar \square ^ { * } ( M )$ ; confidence 0.620
  
111. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g043780168.png ; $$T _ { \nu }$$ ; confidence 0.336
+
111. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g043780168.png ; $T _ { \nu }$ ; confidence 0.336
  
112. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g04378073.png ; $$i : A \rightarrow X$$ ; confidence 0.995
+
112. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g04378073.png ; $i : A \rightarrow X$ ; confidence 0.995
  
113. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g043780134.png ; $$F = p t$$ ; confidence 0.143
+
113. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g043780134.png ; $F = p t$ ; confidence 0.143
  
114. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g043780157.png ; $$T \xi$$ ; confidence 0.994
+
114. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g043780157.png ; $T \xi$ ; confidence 0.994
  
115. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g043780231.png ; $$\overline { h } ( X ) = \operatorname { lim } _ { h } h ^ { * } ( X _ { \alpha } )$$ ; confidence 0.185
+
115. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g043780231.png ; $\overline { h } ( X ) = \operatorname { lim } _ { h } h ^ { * } ( X _ { \alpha } )$ ; confidence 0.185
  
116. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g043810381.png ; $$C = \text { int } \Gamma$$ ; confidence 0.630
+
116. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g043810381.png ; $C = \text { int } \Gamma$ ; confidence 0.630
  
117. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g04381012.png ; $$\overline { O } _ { k }$$ ; confidence 0.968
+
117. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g04381012.png ; $\overline { O } _ { k }$ ; confidence 0.968
  
118. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g043810261.png ; $$\delta ( x ) = \delta ( x _ { 1 } ) \times \ldots \times \delta ( x _ { N } )$$ ; confidence 0.411
+
118. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g043810261.png ; $\delta ( x ) = \delta ( x _ { 1 } ) \times \ldots \times \delta ( x _ { N } )$ ; confidence 0.411
  
119. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g043810179.png ; $$\alpha f \in D ^ { \prime } ( O )$$ ; confidence 0.895
+
119. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g043810179.png ; $\alpha f \in D ^ { \prime } ( O )$ ; confidence 0.895
  
120. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g043810238.png ; $$x u = 0$$ ; confidence 0.979
+
120. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g043810238.png ; $x u = 0$ ; confidence 0.979
  
121. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003048.png ; $$I _ { U } = \{ ( u _ { \lambda } ) _ { \lambda \in \Lambda }$$ ; confidence 0.956
+
121. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003048.png ; $I _ { U } = \{ ( u _ { \lambda } ) _ { \lambda \in \Lambda }$ ; confidence 0.956
  
122. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003082.png ; $$\Gamma \subset \Omega$$ ; confidence 0.987
+
122. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003082.png ; $\Gamma \subset \Omega$ ; confidence 0.987
  
123. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003022.png ; $$w \mapsto ( w ^ { * } \varphi _ { \lambda } ) _ { \lambda \in \Lambda }$$ ; confidence 0.798
+
123. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003022.png ; $w \mapsto ( w ^ { * } \varphi _ { \lambda } ) _ { \lambda \in \Lambda }$ ; confidence 0.798
  
124. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043930/g0439304.png ; $$m : A ^ { \prime } \rightarrow A$$ ; confidence 0.997
+
124. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043930/g0439304.png ; $m : A ^ { \prime } \rightarrow A$ ; confidence 0.997
  
125. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130040/g130040116.png ; $$v \wedge \wedge \ldots \wedge v _ { m }$$ ; confidence 0.124
+
125. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130040/g130040116.png ; $v \wedge \wedge \ldots \wedge v _ { m }$ ; confidence 0.124
  
126. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044340/g044340202.png ; $$\xi _ { p } \in ( \nu F ^ { m } ) p$$ ; confidence 0.212
+
126. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044340/g044340202.png ; $\xi _ { p } \in ( \nu F ^ { m } ) p$ ; confidence 0.212
  
127. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044340/g04434018.png ; $$d f ( X )$$ ; confidence 0.998
+
127. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044340/g04434018.png ; $d f ( X )$ ; confidence 0.998
  
128. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044340/g044340228.png ; $$\xi \in ( \nu F ^ { m } ) _ { p }$$ ; confidence 0.549
+
128. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044340/g044340228.png ; $\xi \in ( \nu F ^ { m } ) _ { p }$ ; confidence 0.549
  
129. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044350/g044350167.png ; $$\alpha ( F ) = 1$$ ; confidence 1.000
+
129. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044350/g044350167.png ; $\alpha ( F ) = 1$ ; confidence 1.000
  
130. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044350/g044350101.png ; $$D \Re \subset M$$ ; confidence 0.255
+
130. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044350/g044350101.png ; $D \Re \subset M$ ; confidence 0.255
  
131. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044350/g044350116.png ; $$V ( \Re ) > 2 ^ { n } d ( \Lambda )$$ ; confidence 0.792
+
131. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044350/g044350116.png ; $V ( \Re ) > 2 ^ { n } d ( \Lambda )$ ; confidence 0.792
  
132. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044350/g04435074.png ; $$d ( \Lambda ) = \Delta ( \mathfrak { M } )$$ ; confidence 0.934
+
132. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044350/g04435074.png ; $d ( \Lambda ) = \Delta ( \mathfrak { M } )$ ; confidence 0.934
  
133. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g1300606.png ; $$p _ { n } ( z ) : = \operatorname { det } \{ z I - A \}$$ ; confidence 0.968
+
133. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g1300606.png ; $p _ { n } ( z ) : = \operatorname { det } \{ z I - A \}$ ; confidence 0.968
  
134. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g12004053.png ; $$| \tilde { \varphi } \mathfrak { u } ( \xi ) | \leq c ^ { - 1 } e ^ { - c | \xi | ^ { 1 / s } }$$ ; confidence 0.103
+
134. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g12004053.png ; $| \tilde { \varphi } \mathfrak { u } ( \xi ) | \leq c ^ { - 1 } e ^ { - c | \xi | ^ { 1 / s } }$ ; confidence 0.103
  
135. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g12004074.png ; $$D _ { x _ { k } } = - i \partial _ { x _ { k } }$$ ; confidence 0.982
+
135. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g12004074.png ; $D _ { x _ { k } } = - i \partial _ { x _ { k } }$ ; confidence 0.982
  
136. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044400/g04440061.png ; $$z$$ ; confidence 0.578
+
136. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044400/g04440061.png ; $z$ ; confidence 0.578
  
137. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044400/g04440029.png ; $$\delta \varepsilon$$ ; confidence 0.600
+
137. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044400/g04440029.png ; $\delta \varepsilon$ ; confidence 0.600
  
138. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044400/g04440032.png ; $$d E$$ ; confidence 0.607
+
138. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044400/g04440032.png ; $d E$ ; confidence 0.607
  
139. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044410/g0444106.png ; $$\alpha \equiv f ( x _ { 0 } - ) \leq f ( x _ { 0 } + ) \equiv b$$ ; confidence 0.692
+
139. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044410/g0444106.png ; $\alpha \equiv f ( x _ { 0 } - ) \leq f ( x _ { 0 } + ) \equiv b$ ; confidence 0.692
  
140. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044410/g0444109.png ; $$A < \alpha < b < B$$ ; confidence 0.686
+
140. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044410/g0444109.png ; $A < \alpha < b < B$ ; confidence 0.686
  
141. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044410/g04441010.png ; $$A = \underbrace { \operatorname { lim } _ { n } \frac { \operatorname { lim } } { x \nmid x _ { 0 } } } s _ { n } ( x )$$ ; confidence 0.055
+
141. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044410/g04441010.png ; $A = \underbrace { \operatorname { lim } _ { n } \frac { \operatorname { lim } } { x \nmid x _ { 0 } } } s _ { n } ( x )$ ; confidence 0.055
  
142. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044470/g044470103.png ; $$\psi \circ \phi = \phi ^ { \prime } \circ \psi$$ ; confidence 0.848
+
142. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044470/g044470103.png ; $\psi \circ \phi = \phi ^ { \prime } \circ \psi$ ; confidence 0.848
  
143. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044470/g04447072.png ; $$q ^ { \prime } \in A ^ { \prime }$$ ; confidence 0.966
+
143. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044470/g04447072.png ; $q ^ { \prime } \in A ^ { \prime }$ ; confidence 0.966
  
144. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044650/g04465025.png ; $$a _ { y }$$ ; confidence 0.519
+
144. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044650/g04465025.png ; $a _ { y }$ ; confidence 0.519
  
145. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044660/g04466023.png ; $$A _ { 0 } = \mathfrak { A } _ { 0 }$$ ; confidence 0.968
+
145. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044660/g04466023.png ; $A _ { 0 } = \mathfrak { A } _ { 0 }$ ; confidence 0.968
  
146. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044660/g04466018.png ; $$A = \sum _ { i \geq 0 } A$$ ; confidence 0.975
+
146. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044660/g04466018.png ; $A = \sum _ { i \geq 0 } A$ ; confidence 0.975
  
147. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044680/g04468042.png ; $$\operatorname { grad } ( f g ) = g \operatorname { grad } f + f \operatorname { grad } g$$ ; confidence 0.981
+
147. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044680/g04468042.png ; $\operatorname { grad } ( f g ) = g \operatorname { grad } f + f \operatorname { grad } g$ ; confidence 0.981
  
148. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044680/g04468049.png ; $$t \circ \in E$$ ; confidence 0.290
+
148. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044680/g04468049.png ; $t \circ \in E$ ; confidence 0.290
  
149. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044730/g04473023.png ; $$f _ { B } ( x ) = \frac { \lambda ^ { x } } { x ! } e ^ { - \lambda } \{ 1 + \frac { \mu _ { 2 } - \lambda } { \lambda ^ { 2 } } [ \frac { x ^ { [ 2 ] } } { 2 } - \lambda x ^ { [ 1 ] } + \frac { \lambda ^ { 2 } } { 2 } ] +$$ ; confidence 0.569
+
149. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044730/g04473023.png ; $f _ { B } ( x ) = \frac { \lambda ^ { x } } { x ! } e ^ { - \lambda } \{ 1 + \frac { \mu _ { 2 } - \lambda } { \lambda ^ { 2 } } [ \frac { x ^ { [ 2 ] } } { 2 } - \lambda x ^ { [ 1 ] } + \frac { \lambda ^ { 2 } } { 2 } ] +$ ; confidence 0.569
  
150. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044770/g04477022.png ; $$[ \Psi / \Phi ] \Phi$$ ; confidence 0.955
+
150. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044770/g04477022.png ; $[ \Psi / \Phi ] \Phi$ ; confidence 0.955
  
151. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044780/g04478033.png ; $$\mu ( \alpha )$$ ; confidence 0.999
+
151. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044780/g04478033.png ; $\mu ( \alpha )$ ; confidence 0.999
  
152. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044820/g04482057.png ; $$x \in L ( \Gamma )$$ ; confidence 0.995
+
152. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044820/g04482057.png ; $x \in L ( \Gamma )$ ; confidence 0.995
  
153. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044840/g04484023.png ; $$B \rightarrow b B$$ ; confidence 0.994
+
153. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044840/g04484023.png ; $B \rightarrow b B$ ; confidence 0.994
  
154. https://www.encyclopediaofmath.org/legacyimages/g/g110/g110180/g11018025.png ; $$V _ { T } ^ { \prime } = \mu ( V _ { T } )$$ ; confidence 0.997
+
154. https://www.encyclopediaofmath.org/legacyimages/g/g110/g110180/g11018025.png ; $V _ { T } ^ { \prime } = \mu ( V _ { T } )$ ; confidence 0.997
  
155. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044910/g04491070.png ; $$\sum _ { d ( e ) = Q } f _ { e }$$ ; confidence 0.651
+
155. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044910/g04491070.png ; $\sum _ { d ( e ) = Q } f _ { e }$ ; confidence 0.651
  
156. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045000/g04500031.png ; $$( n \operatorname { ln } n ) / 2$$ ; confidence 0.978
+
156. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045000/g04500031.png ; $( n \operatorname { ln } n ) / 2$ ; confidence 0.978
  
157. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044970/g04497028.png ; $$E ^ { n } \times R$$ ; confidence 0.937
+
157. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044970/g04497028.png ; $E ^ { n } \times R$ ; confidence 0.937
  
158. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045040/g0450402.png ; $$f _ { 12 }$$ ; confidence 0.974
+
158. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045040/g0450402.png ; $f _ { 12 }$ ; confidence 0.974
  
159. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g045090279.png ; $$G _ { A B } ^ { ( c ) } ( t - t ^ { \prime } ) = \ll A ( t ) | B ( t ^ { \prime } ) \gg ( c ) \equiv \langle T _ { \eta } A ( t ) B ( t ^ { \prime } ) \rangle$$ ; confidence 0.272
+
159. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g045090279.png ; $G _ { A B } ^ { ( c ) } ( t - t ^ { \prime } ) = \ll A ( t ) | B ( t ^ { \prime } ) \gg ( c ) \equiv \langle T _ { \eta } A ( t ) B ( t ^ { \prime } ) \rangle$ ; confidence 0.272
  
160. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g045090122.png ; $$\psi _ { k } ( \xi )$$ ; confidence 0.998
+
160. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g045090122.png ; $\psi _ { k } ( \xi )$ ; confidence 0.998
  
161. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g04509046.png ; $$y ( \alpha ) = 0$$ ; confidence 0.954
+
161. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g04509046.png ; $y ( \alpha ) = 0$ ; confidence 0.954
  
162. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g04509054.png ; $$C = [ p ( \xi ) W ( \xi ) ] ^ { - 1 }$$ ; confidence 0.997
+
162. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g04509054.png ; $C = [ p ( \xi ) W ( \xi ) ] ^ { - 1 }$ ; confidence 0.997
  
163. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g045090287.png ; $$G _ { A B } ^ { ( n ) } ( E )$$ ; confidence 0.976
+
163. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g045090287.png ; $G _ { A B } ^ { ( n ) } ( E )$ ; confidence 0.976
  
164. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120070/g12007022.png ; $$m \equiv 4$$ ; confidence 0.840
+
164. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120070/g12007022.png ; $m \equiv 4$ ; confidence 0.840
  
165. https://www.encyclopediaofmath.org/legacyimages/g/g110/g110260/g1102602.png ; $$B M$$ ; confidence 0.973
+
165. https://www.encyclopediaofmath.org/legacyimages/g/g110/g110260/g1102602.png ; $B M$ ; confidence 0.973
  
166. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045370/g0453708.png ; $$f ( z ) = e ^ { ( \alpha - i b ) z ^ { \rho } }$$ ; confidence 0.743
+
166. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045370/g0453708.png ; $f ( z ) = e ^ { ( \alpha - i b ) z ^ { \rho } }$ ; confidence 0.743
  
167. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046010/h046010125.png ; $$M _ { 2 } \times S ^ { N }$$ ; confidence 0.923
+
167. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046010/h046010125.png ; $M _ { 2 } \times S ^ { N }$ ; confidence 0.923
  
168. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046010/h046010104.png ; $$m \geq 3$$ ; confidence 0.668
+
168. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046010/h046010104.png ; $m \geq 3$ ; confidence 0.668
  
169. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120010/h12001013.png ; $$X ^ { ( r ) } \rightarrow V$$ ; confidence 0.950
+
169. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120010/h12001013.png ; $X ^ { ( r ) } \rightarrow V$ ; confidence 0.950
  
170. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130090/h13009043.png ; $$g _ { i } \in A$$ ; confidence 0.960
+
170. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130090/h13009043.png ; $g _ { i } \in A$ ; confidence 0.960
  
171. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130090/h13009035.png ; $$g \rightarrow g$$ ; confidence 0.987
+
171. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130090/h13009035.png ; $g \rightarrow g$ ; confidence 0.987
  
172. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046080/h04608018.png ; $$| x _ { \mathfrak { j } } | \leq M$$ ; confidence 0.106
+
172. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046080/h04608018.png ; $| x _ { \mathfrak { j } } | \leq M$ ; confidence 0.106
  
173. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110050/h11005031.png ; $$w _ { 2 } = f ( r _ { 1 } ) \ldots f ( r _ { n } )$$ ; confidence 0.851
+
173. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110050/h11005031.png ; $w _ { 2 } = f ( r _ { 1 } ) \ldots f ( r _ { n } )$ ; confidence 0.851
  
174. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110050/h1100503.png ; $$\alpha _ { 1 } \ldots \alpha _ { m }$$ ; confidence 0.435
+
174. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110050/h1100503.png ; $\alpha _ { 1 } \ldots \alpha _ { m }$ ; confidence 0.435
  
175. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046280/h04628046.png ; $$\frac { d ^ { 2 } y } { d t ^ { 2 } } + P ( t ) y = 0$$ ; confidence 1.000
+
175. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046280/h04628046.png ; $\frac { d ^ { 2 } y } { d t ^ { 2 } } + P ( t ) y = 0$ ; confidence 1.000
  
176. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046280/h04628059.png ; $$x ^ { ( 1 ) } = x ^ { ( 1 ) } ( t )$$ ; confidence 0.898
+
176. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046280/h04628059.png ; $x ^ { ( 1 ) } = x ^ { ( 1 ) } ( t )$ ; confidence 0.898
  
177. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046280/h046280124.png ; $$X = \| \left. \begin{array} { l l } { U _ { 1 } } & { U _ { 2 } } \\ { V _ { 1 } } & { V _ { 2 } } \end{array} \right. |$$ ; confidence 0.501
+
177. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046280/h046280124.png ; $X = \| \left. \begin{array} { l l } { U _ { 1 } } & { U _ { 2 } } \\ { V _ { 1 } } & { V _ { 2 } } \end{array} \right. |$ ; confidence 0.501
  
178. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046300/h04630075.png ; $$M _ { 0 } \times I$$ ; confidence 0.798
+
178. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046300/h04630075.png ; $M _ { 0 } \times I$ ; confidence 0.798
  
179. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046300/h046300124.png ; $$P _ { n - k }$$ ; confidence 0.990
+
179. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046300/h046300124.png ; $P _ { n - k }$ ; confidence 0.990
  
180. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120020/h120020104.png ; $$P _ { - } \phi \in B _ { p } ^ { 1 / p }$$ ; confidence 0.963
+
180. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120020/h120020104.png ; $P _ { - } \phi \in B _ { p } ^ { 1 / p }$ ; confidence 0.963
  
181. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120020/h1200207.png ; $$\hat { \phi } ( j ) = \alpha$$ ; confidence 0.791
+
181. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120020/h1200207.png ; $\hat { \phi } ( j ) = \alpha$ ; confidence 0.791
  
182. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046370/h04637024.png ; $$M ( x ) = M _ { f } ( x ) = \operatorname { sup } _ { 0 < k | \leq \pi } \frac { 1 } { t } \int _ { x } ^ { x + t } | f ( u ) | d u$$ ; confidence 0.412
+
182. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046370/h04637024.png ; $M ( x ) = M _ { f } ( x ) = \operatorname { sup } _ { 0 < k | \leq \pi } \frac { 1 } { t } \int _ { x } ^ { x + t } | f ( u ) | d u$ ; confidence 0.412
  
183. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046370/h04637012.png ; $$\int _ { \alpha } ^ { b } \theta ^ { p } ( x ) d x \leq 2 ( \frac { p } { p - 1 } ) ^ { p } \int _ { a } ^ { b } f ^ { p } ( x ) d x$$ ; confidence 0.187
+
183. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046370/h04637012.png ; $\int _ { \alpha } ^ { b } \theta ^ { p } ( x ) d x \leq 2 ( \frac { p } { p - 1 } ) ^ { p } \int _ { a } ^ { b } f ^ { p } ( x ) d x$ ; confidence 0.187
  
184. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046320/h046320114.png ; $$H ^ { p } ( G )$$ ; confidence 0.998
+
184. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046320/h046320114.png ; $H ^ { p } ( G )$ ; confidence 0.998
  
185. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046320/h046320200.png ; $$M _ { \delta } ( \phi ) \rightarrow 0$$ ; confidence 0.996
+
185. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046320/h046320200.png ; $M _ { \delta } ( \phi ) \rightarrow 0$ ; confidence 0.996
  
186. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h046420330.png ; $$B = B _ { E }$$ ; confidence 0.754
+
186. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h046420330.png ; $B = B _ { E }$ ; confidence 0.754
  
187. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h04642087.png ; $$L _ { \infty } ( \hat { G } )$$ ; confidence 0.973
+
187. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h04642087.png ; $L _ { \infty } ( \hat { G } )$ ; confidence 0.973
  
188. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h046420200.png ; $$F ( \phi ) \in A ( \hat { G } )$$ ; confidence 0.909
+
188. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h046420200.png ; $F ( \phi ) \in A ( \hat { G } )$ ; confidence 0.909
  
189. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h046420189.png ; $$f = f _ { 1 } * f _ { 2 }$$ ; confidence 0.989
+
189. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h046420189.png ; $f = f _ { 1 } * f _ { 2 }$ ; confidence 0.989
  
190. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h046420157.png ; $$d g = d h d k$$ ; confidence 0.955
+
190. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h046420157.png ; $d g = d h d k$ ; confidence 0.955
  
191. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046460/h04646046.png ; $$p + q \leq \operatorname { dim } _ { C } M$$ ; confidence 0.688
+
191. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046460/h04646046.png ; $p + q \leq \operatorname { dim } _ { C } M$ ; confidence 0.688
  
192. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046470/h046470224.png ; $$d \sigma ( y )$$ ; confidence 0.992
+
192. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046470/h046470224.png ; $d \sigma ( y )$ ; confidence 0.992
  
193. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120030/h12003026.png ; $$\operatorname { dim } M = 2$$ ; confidence 0.993
+
193. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120030/h12003026.png ; $\operatorname { dim } M = 2$ ; confidence 0.993
  
194. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046600/h0466006.png ; $$\{ x : | x - y | < r \}$$ ; confidence 0.915
+
194. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046600/h0466006.png ; $\{ x : | x - y | < r \}$ ; confidence 0.915
  
195. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047020/h04702011.png ; $$F _ { n } ( x ) = ( x _ { 1 } ^ { 2 } + \ldots + x _ { y } ^ { 2 } ) ^ { 1 / 2 }$$ ; confidence 0.316
+
195. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047020/h04702011.png ; $F _ { n } ( x ) = ( x _ { 1 } ^ { 2 } + \ldots + x _ { y } ^ { 2 } ) ^ { 1 / 2 }$ ; confidence 0.316
  
196. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047070/h0470704.png ; $$\alpha _ { i k } = \overline { a _ { k i } }$$ ; confidence 0.235
+
196. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047070/h0470704.png ; $\alpha _ { i k } = \overline { a _ { k i } }$ ; confidence 0.235
  
197. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047160/h04716013.png ; $$H ( z )$$ ; confidence 0.999
+
197. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047160/h04716013.png ; $H ( z )$ ; confidence 0.999
  
198. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047160/h0471603.png ; $$H ( z ) = \sum _ { i = 1 } ^ { n } \sum _ { j = 1 } ^ { n } a _ { i j } z _ { i } z _ { j }$$ ; confidence 0.374
+
198. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047160/h0471603.png ; $H ( z ) = \sum _ { i = 1 } ^ { n } \sum _ { j = 1 } ^ { n } a _ { i j } z _ { i } z _ { j }$ ; confidence 0.374
  
199. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047210/h0472103.png ; $$C$$ ; confidence 0.952
+
199. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047210/h0472103.png ; $C$ ; confidence 0.952
  
200. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047210/h04721080.png ; $$X _ { 1 } \cap Y _ { 1 } = \emptyset$$ ; confidence 0.988
+
200. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047210/h04721080.png ; $X _ { 1 } \cap Y _ { 1 } = \emptyset$ ; confidence 0.988
  
201. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047210/h04721043.png ; $$\Sigma _ { n } ^ { 0 }$$ ; confidence 0.998
+
201. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047210/h04721043.png ; $\Sigma _ { n } ^ { 0 }$ ; confidence 0.998
  
202. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047270/h04727012.png ; $$\lambda = p ^ { - 1 } + r ^ { - 1 } \leq 1$$ ; confidence 0.999
+
202. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047270/h04727012.png ; $\lambda = p ^ { - 1 } + r ^ { - 1 } \leq 1$ ; confidence 0.999
  
203. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047380/h047380203.png ; $$\nu \in A$$ ; confidence 0.971
+
203. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047380/h047380203.png ; $\nu \in A$ ; confidence 0.971
  
204. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047380/h047380120.png ; $$\sum _ { i } | \alpha _ { i } | ^ { 2 } < \infty$$ ; confidence 0.995
+
204. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047380/h047380120.png ; $\sum _ { i } | \alpha _ { i } | ^ { 2 } < \infty$ ; confidence 0.995
  
205. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047380/h047380204.png ; $$\sum _ { \nu \in A } \| x _ { \nu } \| ^ { 2 } < \infty$$ ; confidence 0.895
+
205. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047380/h047380204.png ; $\sum _ { \nu \in A } \| x _ { \nu } \| ^ { 2 } < \infty$ ; confidence 0.895
  
206. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047390/h047390181.png ; $$V = V ^ { + } \oplus V ^ { - }$$ ; confidence 0.953
+
206. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047390/h047390181.png ; $V = V ^ { + } \oplus V ^ { - }$ ; confidence 0.953
  
207. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047440/h04744011.png ; $$\lambda _ { 4 n }$$ ; confidence 0.681
+
207. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047440/h04744011.png ; $\lambda _ { 4 n }$ ; confidence 0.681
  
208. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047440/h04744030.png ; $$f ( 0 ) = f ( 1 ) = 0$$ ; confidence 1.000
+
208. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047440/h04744030.png ; $f ( 0 ) = f ( 1 ) = 0$ ; confidence 1.000
  
209. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110200/h11020058.png ; $$\Psi ( y _ { n } ) \subseteq \Psi ( y _ { 0 } )$$ ; confidence 0.934
+
209. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110200/h11020058.png ; $\Psi ( y _ { n } ) \subseteq \Psi ( y _ { 0 } )$ ; confidence 0.934
  
210. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047470/h04747031.png ; $$F ^ { p }$$ ; confidence 0.768
+
210. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047470/h04747031.png ; $F ^ { p }$ ; confidence 0.768
  
211. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110220/h1102204.png ; $$h : E ^ { m } \rightarrow R$$ ; confidence 0.941
+
211. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110220/h1102204.png ; $h : E ^ { m } \rightarrow R$ ; confidence 0.941
  
212. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047540/h04754045.png ; $$\Omega \frac { p } { x }$$ ; confidence 0.447
+
212. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047540/h04754045.png ; $\Omega \frac { p } { x }$ ; confidence 0.447
  
213. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047560/h04756028.png ; $$f ^ { - 1 } \circ f ( z ) = z$$ ; confidence 0.986
+
213. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047560/h04756028.png ; $f ^ { - 1 } \circ f ( z ) = z$ ; confidence 0.986
  
214. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047610/h04761062.png ; $$\mathfrak { M } ( M )$$ ; confidence 0.763
+
214. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047610/h04761062.png ; $\mathfrak { M } ( M )$ ; confidence 0.763
  
215. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110240/h11024037.png ; $$\mu _ { 1 } < 0 < \lambda _ { 1 }$$ ; confidence 0.999
+
215. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110240/h11024037.png ; $\mu _ { 1 } < 0 < \lambda _ { 1 }$ ; confidence 0.999
  
216. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110240/h11024025.png ; $$n _ { s } + n _ { u } = n$$ ; confidence 0.172
+
216. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110240/h11024025.png ; $n _ { s } + n _ { u } = n$ ; confidence 0.172
  
217. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h04769040.png ; $$g x = y$$ ; confidence 0.997
+
217. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h04769040.png ; $g x = y$ ; confidence 0.997
  
218. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h047690116.png ; $$G = SU ( k )$$ ; confidence 0.645
+
218. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h047690116.png ; $G = SU ( k )$ ; confidence 0.645
  
219. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047730/h04773077.png ; $$\beta ^ { s - k } z ^ { \prime }$$ ; confidence 0.907
+
219. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047730/h04773077.png ; $\beta ^ { s - k } z ^ { \prime }$ ; confidence 0.907
  
220. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047740/h047740112.png ; $$R ) = r . g \operatorname { lowdim } ( R ) = \operatorname { glowdim } ( R )$$ ; confidence 0.142
+
220. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047740/h047740112.png ; $R ) = r . g \operatorname { lowdim } ( R ) = \operatorname { glowdim } ( R )$ ; confidence 0.142
  
221. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047740/h04774059.png ; $$0 \rightarrow A ^ { \prime } \rightarrow A \rightarrow A ^ { \prime \prime } \rightarrow 0$$ ; confidence 0.930
+
221. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047740/h04774059.png ; $0 \rightarrow A ^ { \prime } \rightarrow A \rightarrow A ^ { \prime \prime } \rightarrow 0$ ; confidence 0.930
  
222. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h12012026.png ; $$f \phi = 0$$ ; confidence 0.993
+
222. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h12012026.png ; $f \phi = 0$ ; confidence 0.993
  
223. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h120120117.png ; $$T ( H ( A ) )$$ ; confidence 0.997
+
223. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h120120117.png ; $T ( H ( A ) )$ ; confidence 0.997
  
224. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047860/h047860136.png ; $$n = r \neq 0$$ ; confidence 0.966
+
224. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047860/h047860136.png ; $n = r \neq 0$ ; confidence 0.966
  
225. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047930/h047930317.png ; $$S X \rightarrow S X$$ ; confidence 0.972
+
225. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047930/h047930317.png ; $S X \rightarrow S X$ ; confidence 0.972
  
226. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047930/h047930299.png ; $$Z / p$$ ; confidence 0.808
+
226. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047930/h047930299.png ; $Z / p$ ; confidence 0.808
  
227. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047930/h04793027.png ; $$x = [ u ]$$ ; confidence 0.825
+
227. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047930/h04793027.png ; $x = [ u ]$ ; confidence 0.825
  
228. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047940/h04794088.png ; $$e _ { i } : O ( \Delta _ { q - 1 } ) \rightarrow O ( \Delta _ { q } )$$ ; confidence 0.793
+
228. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047940/h04794088.png ; $e _ { i } : O ( \Delta _ { q - 1 } ) \rightarrow O ( \Delta _ { q } )$ ; confidence 0.793
  
229. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047940/h047940245.png ; $$\Delta _ { q }$$ ; confidence 0.971
+
229. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047940/h047940245.png ; $\Delta _ { q }$ ; confidence 0.971
  
230. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047940/h047940319.png ; $$\eta : \pi _ { N } \otimes \pi _ { N } \rightarrow \pi _ { N } + 1$$ ; confidence 0.085
+
230. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047940/h047940319.png ; $\eta : \pi _ { N } \otimes \pi _ { N } \rightarrow \pi _ { N } + 1$ ; confidence 0.085
  
231. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797023.png ; $$\mu ^ { * } : A ^ { * } \rightarrow A ^ { * } \otimes A ^ { * }$$ ; confidence 0.991
+
231. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797023.png ; $\mu ^ { * } : A ^ { * } \rightarrow A ^ { * } \otimes A ^ { * }$ ; confidence 0.991
  
232. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110250/h11025012.png ; $$T ^ { \aleph } x \in A$$ ; confidence 0.469
+
232. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110250/h11025012.png ; $T ^ { \aleph } x \in A$ ; confidence 0.469
  
233. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048000/h04800018.png ; $$\Omega \in \Delta ^ { n } S$$ ; confidence 0.506
+
233. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048000/h04800018.png ; $\Omega \in \Delta ^ { n } S$ ; confidence 0.506
  
234. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110300/h1103003.png ; $$\psi ( x ) = \sum x ^ { \prime } \otimes x ^ { \prime \prime }$$ ; confidence 0.991
+
234. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110300/h1103003.png ; $\psi ( x ) = \sum x ^ { \prime } \otimes x ^ { \prime \prime }$ ; confidence 0.991
  
235. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048080/h04808011.png ; $$n - 1 \geq p$$ ; confidence 0.999
+
235. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048080/h04808011.png ; $n - 1 \geq p$ ; confidence 0.999
  
236. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110330/h11033039.png ; $$n \leq s \leq 2 n - 2$$ ; confidence 0.997
+
236. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110330/h11033039.png ; $n \leq s \leq 2 n - 2$ ; confidence 0.997
  
237. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110370/h11037062.png ; $$n \neq 0$$ ; confidence 0.999
+
237. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110370/h11037062.png ; $n \neq 0$ ; confidence 0.999
  
238. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048190/h0481908.png ; $$\nu = 0$$ ; confidence 0.923
+
238. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048190/h0481908.png ; $\nu = 0$ ; confidence 0.923
  
239. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048200/h0482005.png ; $$Z = 1$$ ; confidence 0.980
+
239. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048200/h0482005.png ; $Z = 1$ ; confidence 0.980
  
240. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130120/h13012038.png ; $$| f ( x + y ) - f ( x ) f ( y ) | \leq \varepsilon$$ ; confidence 0.999
+
240. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130120/h13012038.png ; $| f ( x + y ) - f ( x ) f ( y ) | \leq \varepsilon$ ; confidence 0.999
  
241. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130130/h13013015.png ; $$e ^ { i k x }$$ ; confidence 0.648
+
241. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130130/h13013015.png ; $e ^ { i k x }$ ; confidence 0.648
  
242. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048250/h04825025.png ; $$O A M$$ ; confidence 0.981
+
242. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048250/h04825025.png ; $O A M$ ; confidence 0.981
  
243. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048270/h04827072.png ; $$f : \Omega \rightarrow B$$ ; confidence 0.997
+
243. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048270/h04827072.png ; $f : \Omega \rightarrow B$ ; confidence 0.997
  
244. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048300/h04830032.png ; $$P _ { m } ( \xi + \tau N )$$ ; confidence 0.978
+
244. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048300/h04830032.png ; $P _ { m } ( \xi + \tau N )$ ; confidence 0.978
  
245. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048310/h0483101.png ; $$\frac { \partial w } { \partial t } = A \frac { \partial w } { \partial x }$$ ; confidence 0.980
+
245. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048310/h0483101.png ; $\frac { \partial w } { \partial t } = A \frac { \partial w } { \partial x }$ ; confidence 0.980
  
246. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048310/h04831085.png ; $$\alpha = a ( x )$$ ; confidence 0.757
+
246. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048310/h04831085.png ; $\alpha = a ( x )$ ; confidence 0.757
  
247. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048330/h04833042.png ; $$W _ { X } ^ { S }$$ ; confidence 0.678
+
247. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048330/h04833042.png ; $W _ { X } ^ { S }$ ; confidence 0.678
  
248. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048330/h04833033.png ; $$E _ { X } ^ { N }$$ ; confidence 0.539
+
248. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048330/h04833033.png ; $E _ { X } ^ { N }$ ; confidence 0.539
  
249. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048390/h04839015.png ; $$U ^ { ( 2 ) }$$ ; confidence 0.956
+
249. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048390/h04839015.png ; $U ^ { ( 2 ) }$ ; confidence 0.956
  
250. 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
+
250. 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
  
251. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110400/h11040065.png ; $$H _ { 1 } \otimes I + I \otimes H _ { 2 }$$ ; confidence 0.996
+
251. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110400/h11040065.png ; $H _ { 1 } \otimes I + I \otimes H _ { 2 }$ ; confidence 0.996
  
252. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048420/h048420118.png ; $$F _ { j } ( z ) = \sum _ { k = 1 } ^ { N } G _ { j k } ( z )$$ ; confidence 0.944
+
252. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048420/h048420118.png ; $F _ { j } ( z ) = \sum _ { k = 1 } ^ { N } G _ { j k } ( z )$ ; confidence 0.944
  
253. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048420/h0484203.png ; $$F _ { + } ( x + i 0 ) - F _ { - } ( x - i 0 )$$ ; confidence 0.881
+
253. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048420/h0484203.png ; $F _ { + } ( x + i 0 ) - F _ { - } ( x - i 0 )$ ; confidence 0.881
  
254. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048440/h04844022.png ; $$\alpha - \beta$$ ; confidence 1.000
+
254. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048440/h04844022.png ; $\alpha - \beta$ ; confidence 1.000
  
255. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048440/h0484406.png ; $$w = z ^ { - \gamma / 2 } ( z - 1 ) ^ { ( \gamma - \alpha - \beta - 1 ) / 2 } u$$ ; confidence 0.892
+
255. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048440/h0484406.png ; $w = z ^ { - \gamma / 2 } ( z - 1 ) ^ { ( \gamma - \alpha - \beta - 1 ) / 2 } u$ ; confidence 0.892
  
256. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048450/h0484501.png ; $$z ( 1 - z ) w ^ { \prime \prime } + [ \gamma - ( \alpha + \beta + 1 ) z ] w ^ { \prime } - \alpha \beta w = 0$$ ; confidence 0.996
+
256. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048450/h0484501.png ; $z ( 1 - z ) w ^ { \prime \prime } + [ \gamma - ( \alpha + \beta + 1 ) z ] w ^ { \prime } - \alpha \beta w = 0$ ; confidence 0.996
  
257. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048520/h04852064.png ; $$| f | = 1$$ ; confidence 0.989
+
257. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048520/h04852064.png ; $| f | = 1$ ; confidence 0.989
  
258. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120150/h12015024.png ; $$\operatorname { log } | \phi ( h ) | = \int \operatorname { log } | h | d$$ ; confidence 0.751
+
258. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120150/h12015024.png ; $\operatorname { log } | \phi ( h ) | = \int \operatorname { log } | h | d$ ; confidence 0.751
  
259. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110430/h1104304.png ; $$H _ { 1 } ( x ) < H _ { 2 } ( x )$$ ; confidence 0.999
+
259. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110430/h1104304.png ; $H _ { 1 } ( x ) < H _ { 2 } ( x )$ ; confidence 0.999
  
260. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047512/h04751218.png ; $$A = \operatorname { sup } _ { y \in E } A ( y ) < \infty$$ ; confidence 0.997
+
260. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047512/h04751218.png ; $A = \operatorname { sup } _ { y \in E } A ( y ) < \infty$ ; confidence 0.997
  
261. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050030/i05003048.png ; $$I _ { X }$$ ; confidence 0.507
+
261. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050030/i05003048.png ; $I _ { X }$ ; confidence 0.507
  
262. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050030/i050030120.png ; $$A \backslash I$$ ; confidence 0.946
+
262. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050030/i050030120.png ; $A \backslash I$ ; confidence 0.946
  
263. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110020/i11002022.png ; $$0 = + \infty$$ ; confidence 0.667
+
263. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110020/i11002022.png ; $0 = + \infty$ ; confidence 0.667
  
264. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110020/i11002068.png ; $$( \lambda \odot \mu ) \odot v = \lambda \odot ( \mu \odot v )$$ ; confidence 0.955
+
264. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110020/i11002068.png ; $( \lambda \odot \mu ) \odot v = \lambda \odot ( \mu \odot v )$ ; confidence 0.955
  
265. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110020/i11002080.png ; $$( A )$$ ; confidence 1.000
+
265. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110020/i11002080.png ; $( A )$ ; confidence 1.000
  
266. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110060/i11006080.png ; $$T$$ ; confidence 0.652
+
266. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110060/i11006080.png ; $T$ ; confidence 0.652
  
267. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110060/i11006083.png ; $$H \equiv L \circ K$$ ; confidence 0.769
+
267. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110060/i11006083.png ; $H \equiv L \circ K$ ; confidence 0.769
  
268. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i050230319.png ; $$f \in S _ { y } ^ { \prime }$$ ; confidence 0.307
+
268. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i050230319.png ; $f \in S _ { y } ^ { \prime }$ ; confidence 0.307
  
269. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i050230164.png ; $$H _ { p } ^ { r } ( R ^ { n } ) \rightarrow H _ { p ^ { \prime } } ^ { \rho ^ { \prime } } ( R ^ { m } ) \rightarrow H _ { p l ^ { \prime \prime } } ^ { \rho ^ { \prime \prime } } ( R ^ { m ^ { \prime \prime } } )$$ ; confidence 0.143
+
269. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i050230164.png ; $H _ { p } ^ { r } ( R ^ { n } ) \rightarrow H _ { p ^ { \prime } } ^ { \rho ^ { \prime } } ( R ^ { m } ) \rightarrow H _ { p l ^ { \prime \prime } } ^ { \rho ^ { \prime \prime } } ( R ^ { m ^ { \prime \prime } } )$ ; confidence 0.143
  
270. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i05023059.png ; $$1 < m \leq n$$ ; confidence 0.737
+
270. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i05023059.png ; $1 < m \leq n$ ; confidence 0.737
  
271. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i050230379.png ; $$\| f \| _ { \Lambda _ { p } ^ { r } ( R ^ { n } ) } \leq K$$ ; confidence 0.335
+
271. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i050230379.png ; $\| f \| _ { \Lambda _ { p } ^ { r } ( R ^ { n } ) } \leq K$ ; confidence 0.335
  
272. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i050230228.png ; $$D _ { j } ^ { l } f \in L _ { p } ( R ^ { n } )$$ ; confidence 0.948
+
272. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i050230228.png ; $D _ { j } ^ { l } f \in L _ { p } ( R ^ { n } )$ ; confidence 0.948
  
273. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i050230312.png ; $$- \infty < r < \infty$$ ; confidence 0.842
+
273. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i050230312.png ; $- \infty < r < \infty$ ; confidence 0.842
  
274. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050310/i05031036.png ; $$\delta _ { 0 } > 0$$ ; confidence 1.000
+
274. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050310/i05031036.png ; $\delta _ { 0 } > 0$ ; confidence 1.000
  
275. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050400/i05040021.png ; $$[ t ^ { n } : t ^ { n - 1 } ] = 0$$ ; confidence 0.989
+
275. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050400/i05040021.png ; $[ t ^ { n } : t ^ { n - 1 } ] = 0$ ; confidence 0.989
  
276. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130020/i13002074.png ; $$+ \frac { n } { p _ { 1 } p _ { 2 } } + \ldots + \frac { n } { p _ { k - 1 } p _ { k } } + - \frac { n } { p _ { 1 } p _ { 2 } p _ { 3 } } - \ldots + ( - 1 ) ^ { k } \frac { n } { p _ { 1 } \ldots p _ { k } }$$ ; confidence 0.552
+
276. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130020/i13002074.png ; $+ \frac { n } { p _ { 1 } p _ { 2 } } + \ldots + \frac { n } { p _ { k - 1 } p _ { k } } + - \frac { n } { p _ { 1 } p _ { 2 } p _ { 3 } } - \ldots + ( - 1 ) ^ { k } \frac { n } { p _ { 1 } \ldots p _ { k } }$ ; confidence 0.552
  
277. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050640/i05064012.png ; $$\gamma = \operatorname { ind } _ { g } a$$ ; confidence 0.608
+
277. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050640/i05064012.png ; $\gamma = \operatorname { ind } _ { g } a$ ; confidence 0.608
  
278. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i0506506.png ; $$D = L _ { 1 } / D ( L _ { 0 } )$$ ; confidence 0.998
+
278. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i0506506.png ; $D = L _ { 1 } / D ( L _ { 0 } )$ ; confidence 0.998
  
279. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650145.png ; $$\phi * : H ^ { * } ( B / S ) = H ^ { * } ( T M ) \rightarrow H ^ { * } ( M )$$ ; confidence 0.867
+
279. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650145.png ; $\phi * : H ^ { * } ( B / S ) = H ^ { * } ( T M ) \rightarrow H ^ { * } ( M )$ ; confidence 0.867
  
280. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650302.png ; $$D$$ ; confidence 0.996
+
280. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650302.png ; $D$ ; confidence 0.996
  
281. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i05065016.png ; $$B ( M )$$ ; confidence 1.000
+
281. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i05065016.png ; $B ( M )$ ; confidence 1.000
  
282. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650148.png ; $$\therefore M \rightarrow E$$ ; confidence 0.524
+
282. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650148.png ; $\therefore M \rightarrow E$ ; confidence 0.524
  
283. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650137.png ; $$K ( B / S )$$ ; confidence 0.995
+
283. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650137.png ; $K ( B / S )$ ; confidence 0.995
  
284. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650262.png ; $$K ( T M ^ { g } ) \otimes C \rightarrow C$$ ; confidence 0.882
+
284. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650262.png ; $K ( T M ^ { g } ) \otimes C \rightarrow C$ ; confidence 0.882
  
285. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650350.png ; $$i _ { \alpha } ( D ) \in K ( Y )$$ ; confidence 0.971
+
285. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650350.png ; $i _ { \alpha } ( D ) \in K ( Y )$ ; confidence 0.971
  
286. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650103.png ; $$\Sigma ( M ) = B ^ { + } \cup _ { S ( M ) } B ^ { - }$$ ; confidence 0.500
+
286. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650103.png ; $\Sigma ( M ) = B ^ { + } \cup _ { S ( M ) } B ^ { - }$ ; confidence 0.500
  
287. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i130030178.png ; $$h ( [ a ] )$$ ; confidence 0.265
+
287. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i130030178.png ; $h ( [ a ] )$ ; confidence 0.265
  
288. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i130030142.png ; $$\pi$$ ; confidence 0.507
+
288. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i130030142.png ; $\pi$ ; confidence 0.507
  
289. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i13003026.png ; $$[ T ^ { * } M ]$$ ; confidence 0.990
+
289. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i13003026.png ; $[ T ^ { * } M ]$ ; confidence 0.990
  
290. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050720/i05072015.png ; $$\eta : Y \rightarrow B$$ ; confidence 0.984
+
290. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050720/i05072015.png ; $\eta : Y \rightarrow B$ ; confidence 0.984
  
291. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050730/i050730155.png ; $$\nu _ { S }$$ ; confidence 0.758
+
291. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050730/i050730155.png ; $\nu _ { S }$ ; confidence 0.758
  
292. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050730/i05073063.png ; $$K \subset H$$ ; confidence 0.959
+
292. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050730/i05073063.png ; $K \subset H$ ; confidence 0.959
  
293. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050730/i05073087.png ; $$\chi _ { \pi } ( g ) = \sum _ { \{ \delta : \delta y \in H \delta \} } \chi _ { \rho } ( \delta g \delta ^ { - 1 } )$$ ; confidence 0.903
+
293. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050730/i05073087.png ; $\chi _ { \pi } ( g ) = \sum _ { \{ \delta : \delta y \in H \delta \} } \chi _ { \rho } ( \delta g \delta ^ { - 1 } )$ ; confidence 0.903
  
294. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050770/i05077013.png ; $$\phi _ { \alpha \alpha } = 1 _ { A _ { \alpha } }$$ ; confidence 0.624
+
294. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050770/i05077013.png ; $\phi _ { \alpha \alpha } = 1 _ { A _ { \alpha } }$ ; confidence 0.624
  
295. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050770/i05077064.png ; $$A = \operatorname { lim } _ { \rightarrow } F ( D )$$ ; confidence 0.939
+
295. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050770/i05077064.png ; $A = \operatorname { lim } _ { \rightarrow } F ( D )$ ; confidence 0.939
  
296. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050790/i05079039.png ; $$| \alpha _ { 1 } + \ldots + \alpha _ { n } | \leq | \alpha _ { 1 } | + \ldots + | \alpha _ { n } |$$ ; confidence 0.160
+
296. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050790/i05079039.png ; $| \alpha _ { 1 } + \ldots + \alpha _ { n } | \leq | \alpha _ { 1 } | + \ldots + | \alpha _ { n } |$ ; confidence 0.160
  
297. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050850/i05085060.png ; $$A < \operatorname { ln } d X$$ ; confidence 0.106
+
297. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050850/i05085060.png ; $A < \operatorname { ln } d X$ ; confidence 0.106
  
298. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050850/i05085011.png ; $$1 ^ { \circ }$$ ; confidence 0.592
+
298. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050850/i05085011.png ; $1 ^ { \circ }$ ; confidence 0.592
  
299. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050910/i05091079.png ; $$Y _ { n k }$$ ; confidence 0.813
+
299. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050910/i05091079.png ; $Y _ { n k }$ ; confidence 0.813
  
300. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050950/i05095025.png ; $$= 2 \pi ^ { 3 } a ^ { 2 } \frac { ( n + 1 ) ( 2 n + 1 ) } { 3 n ^ { 2 } }$$ ; confidence 0.781
+
300. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050950/i05095025.png ; $= 2 \pi ^ { 3 } a ^ { 2 } \frac { ( n + 1 ) ( 2 n + 1 ) } { 3 n ^ { 2 } }$ ; confidence 0.781

Revision as of 11:41, 1 September 2019

List

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

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

3. f0408302.png ; $\omega = \alpha _ { 1 } \ldots \alpha _ { k }$ ; confidence 0.633

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

5. f040850143.png ; $\{ \lambda \}$ ; confidence 1.000

6. f040850122.png ; $A \rightarrow w$ ; confidence 0.934

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

8. f04096043.png ; $I V _ { 2 }$ ; confidence 0.996

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

10. f0410005.png ; $J _ { \nu }$ ; confidence 0.556

11. f12009069.png ; $F \mu$ ; confidence 0.813

12. f04114018.png ; $P ( x ) = \frac { 1 } { \sqrt { 2 \pi } } F ( x )$ ; confidence 1.000

13. f120080162.png ; $L _ { q } ( X )$ ; confidence 0.846

14. f120080135.png ; $\Lambda _ { G } = 1$ ; confidence 0.897

15. f12010041.png ; $( 8 \times 8 )$ ; confidence 1.000

16. f12011010.png ; $| \varphi ( z ) | ^ { 2 } e ^ { \delta | z | }$ ; confidence 0.840

17. f120110126.png ; $F ( z ) = - \frac { 1 } { 2 \pi i } \int \frac { \operatorname { exp } e ^ { \zeta ^ { 2 } } } { \zeta - z } d \zeta$ ; confidence 0.622

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

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

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

21. f041060187.png ; $K _ { j } \times R ^ { N j }$ ; confidence 0.562

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

23. f04116031.png ; $\alpha = - b$ ; confidence 0.947

24. f04117079.png ; $f * g$ ; confidence 0.637

25. f04117026.png ; $K = D$ ; confidence 0.998

26. f04117046.png ; $F [ \delta ] = 1$ ; confidence 0.999

27. f041170108.png ; $\eta \in \operatorname { ln } t \Gamma ^ { \prime }$ ; confidence 0.642

28. f04125082.png ; $\xi _ { 1 } \neq \infty$ ; confidence 0.999

29. f0412503.png ; $z \rightarrow w = L ( z ) = \frac { a z + b } { c z + d }$ ; confidence 0.834

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

31. f0412506.png ; $\infty \rightarrow \alpha / c$ ; confidence 0.864

32. f0412109.png ; $A / \eta$ ; confidence 0.702

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

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

35. f04127050.png ; $x \in D ( A )$ ; confidence 0.906

36. f04131029.png ; $\Lambda = \frac { \partial } { \partial x } + i \frac { \partial } { \partial y }$ ; confidence 0.855

37. f04131016.png ; $\eta = \frac { ( \alpha ^ { 2 } - \rho ^ { 2 } ) ^ { 1 / 2 } ( \alpha ^ { 2 } - \rho _ { 0 } ^ { 2 } ) ^ { 1 / 2 } } { \alpha }$ ; confidence 0.628

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

39. f12013083.png ; $| \Phi ( G )$ ; confidence 0.956

40. f110160161.png ; $\mathfrak { A } \sim _ { l } \mathfrak { B }$ ; confidence 0.922

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

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

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

44. f12015010.png ; $R ( A )$ ; confidence 1.000

45. f120150156.png ; $\beta ( A - K ) < \infty$ ; confidence 0.999

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

47. f12015012.png ; $\beta ( A ) : = \operatorname { codim } R ( A ) < \infty$ ; confidence 0.981

48. f04151086.png ; $( r \geq 1 )$ ; confidence 1.000

49. f04157048.png ; $x _ { 1 } ( t ) + x _ { 2 } ( t ) = A ( t ) \operatorname { cos } ( \omega _ { 1 } t + \phi ( t ) )$ ; confidence 0.965

50. f04158014.png ; $( x M ) ( M ^ { - 1 } y )$ ; confidence 0.999

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

52. f12019028.png ; $C _ { G } ( n ) \leq N$ ; confidence 0.972

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

54. f12021089.png ; $\pi ( \lambda ) = ( \lambda + 2 ) ( \lambda + 1 ) \alpha ^ { 2 } 0 + ( \lambda + 1 ) \alpha ^ { 1 } 0 + a ^ { 0 } =$ ; confidence 0.071

55. f1202105.png ; $| z | < r$ ; confidence 0.957

56. f12021069.png ; $= \frac { ( n _ { 1 } + l ) ! } { ! ! } ( \operatorname { log } z ) ^ { l } z ^ { \lambda _ { 2 } } + \ldots$ ; confidence 0.665

57. f12021085.png ; $\lambda = \lambda _ { j }$ ; confidence 0.911

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

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

60. f110180102.png ; $0 < p _ { n } \rightarrow 0$ ; confidence 0.998

61. f120230136.png ; $J : T M \rightarrow T M$ ; confidence 0.972

62. f04188062.png ; $V _ { 0 } ( z )$ ; confidence 0.971

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

64. f0418904.png ; $D = \{ z \in C : | z | < 1 \}$ ; confidence 0.972

65. f04189063.png ; $\chi ( \Delta ) = \chi ( \Gamma ) [ \Gamma : \Delta ]$ ; confidence 0.999

66. f041940314.png ; $L _ { p } ( X )$ ; confidence 0.970

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

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

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

70. f1202409.png ; $t \mapsto t + T$ ; confidence 0.520

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

72. f04206038.png ; $P ( C A )$ ; confidence 0.999

73. f04206074.png ; $f ( - x ) = - f ( x )$ ; confidence 1.000

74. f042060121.png ; $\mathfrak { g } \otimes \mathfrak { g } \rightarrow U \mathfrak { g } \otimes U \mathfrak { g } \otimes U _ { \mathfrak { g } }$ ; confidence 0.207

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

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

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

78. f04221073.png ; $\tilde { f } : Y \rightarrow X$ ; confidence 0.494

79. f04221056.png ; $e _ { \lambda } ^ { 1 } \in X$ ; confidence 0.877

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

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

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

83. g043020138.png ; $\pi : P \rightarrow G \backslash P$ ; confidence 0.994

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

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

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

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

88. g043020187.png ; $\delta : G ^ { \prime } \rightarrow W$ ; confidence 0.965

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

90. g04328069.png ; $H _ { i } ( x ^ { \prime } ) > H _ { i } ( x ^ { \prime \prime } )$ ; confidence 0.924

91. g0432804.png ; $\hat { K } _ { i }$ ; confidence 0.180

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

93. g0432908.png ; $\alpha _ { k } = \frac { \Gamma ( \gamma + k + 1 ) } { \Gamma ( \gamma + 1 ) } \sqrt { \frac { \Gamma ( \alpha _ { 1 } + 1 ) \Gamma ( \alpha _ { 2 } + 1 ) } { \Gamma ( \alpha _ { 1 } + k + 1 ) \Gamma ( \alpha _ { 2 } + k + 1 ) } }$ ; confidence 0.904

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

95. g04333080.png ; $\omega = 1 / c ^ { 2 }$ ; confidence 0.906

96. g04334048.png ; $\sum _ { \Sigma } ^ { 3 } \square ^ { i \alpha } \neq 0$ ; confidence 0.180

97. g04334058.png ; $( \partial w / \partial t ) + ( \partial f / \partial x ) = ( h ^ { 2 } / 2 \tau ) ( \partial ^ { 2 } w / \partial x ^ { 2 } )$ ; confidence 0.582

98. g04335040.png ; $\frac { \pi \psi } { Q } = - \theta - \sum _ { n = 1 } ^ { \infty } \frac { 1 } { n } ( \frac { \tau } { \tau _ { 0 } } ) ^ { n } \frac { y _ { n } ( \tau ) } { y _ { n } ( \tau _ { 0 } ) } \operatorname { sin } 2 n \theta$ ; confidence 0.914

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

100. g04335037.png ; $+ \beta n ( 2 n + 1 ) y _ { n } = 0$ ; confidence 0.975

101. g12003011.png ; $3 n + 2$ ; confidence 1.000

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

103. g0434707.png ; $\nabla _ { \theta } : H _ { \delta R } ^ { 1 } ( X / K ) \rightarrow H _ { \partial R } ^ { 1 } ( X / K )$ ; confidence 0.221

104. g04347036.png ; $0 \rightarrow \phi ^ { 1 } / \phi ^ { 2 } \rightarrow \phi ^ { 0 } / \phi ^ { 2 } \rightarrow \phi ^ { 0 } / \phi ^ { 1 } \rightarrow 0$ ; confidence 0.913

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

106. g0434801.png ; $\quad f j ( x ) - \alpha j = \alpha _ { j 1 } x _ { 1 } + \ldots + \alpha _ { j n } x _ { n } - \alpha _ { j } = 0$ ; confidence 0.057

107. g04358023.png ; $f _ { \zeta } ( \lambda )$ ; confidence 0.821

108. g0436207.png ; $R [ F ( t ) ] = ( 1 - t ^ { 2 } ) F ^ { \prime \prime } - ( 2 \rho - 1 ) t F ^ { \prime \prime }$ ; confidence 0.876

109. g04364030.png ; $K ( y ) = \operatorname { sgn } y . | y | ^ { \alpha }$ ; confidence 0.655

110. g043780250.png ; $\hbar \square ^ { * } ( M )$ ; confidence 0.620

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

112. g04378073.png ; $i : A \rightarrow X$ ; confidence 0.995

113. g043780134.png ; $F = p t$ ; confidence 0.143

114. g043780157.png ; $T \xi$ ; confidence 0.994

115. g043780231.png ; $\overline { h } ( X ) = \operatorname { lim } _ { h } h ^ { * } ( X _ { \alpha } )$ ; confidence 0.185

116. g043810381.png ; $C = \text { int } \Gamma$ ; confidence 0.630

117. g04381012.png ; $\overline { O } _ { k }$ ; confidence 0.968

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

119. g043810179.png ; $\alpha f \in D ^ { \prime } ( O )$ ; confidence 0.895

120. g043810238.png ; $x u = 0$ ; confidence 0.979

121. g13003048.png ; $I _ { U } = \{ ( u _ { \lambda } ) _ { \lambda \in \Lambda }$ ; confidence 0.956

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

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

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

125. g130040116.png ; $v \wedge \wedge \ldots \wedge v _ { m }$ ; confidence 0.124

126. g044340202.png ; $\xi _ { p } \in ( \nu F ^ { m } ) p$ ; confidence 0.212

127. g04434018.png ; $d f ( X )$ ; confidence 0.998

128. g044340228.png ; $\xi \in ( \nu F ^ { m } ) _ { p }$ ; confidence 0.549

129. g044350167.png ; $\alpha ( F ) = 1$ ; confidence 1.000

130. g044350101.png ; $D \Re \subset M$ ; confidence 0.255

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

132. g04435074.png ; $d ( \Lambda ) = \Delta ( \mathfrak { M } )$ ; confidence 0.934

133. g1300606.png ; $p _ { n } ( z ) : = \operatorname { det } \{ z I - A \}$ ; confidence 0.968

134. g12004053.png ; $| \tilde { \varphi } \mathfrak { u } ( \xi ) | \leq c ^ { - 1 } e ^ { - c | \xi | ^ { 1 / s } }$ ; confidence 0.103

135. g12004074.png ; $D _ { x _ { k } } = - i \partial _ { x _ { k } }$ ; confidence 0.982

136. g04440061.png ; $z$ ; confidence 0.578

137. g04440029.png ; $\delta \varepsilon$ ; confidence 0.600

138. g04440032.png ; $d E$ ; confidence 0.607

139. g0444106.png ; $\alpha \equiv f ( x _ { 0 } - ) \leq f ( x _ { 0 } + ) \equiv b$ ; confidence 0.692

140. g0444109.png ; $A < \alpha < b < B$ ; confidence 0.686

141. g04441010.png ; $A = \underbrace { \operatorname { lim } _ { n } \frac { \operatorname { lim } } { x \nmid x _ { 0 } } } s _ { n } ( x )$ ; confidence 0.055

142. g044470103.png ; $\psi \circ \phi = \phi ^ { \prime } \circ \psi$ ; confidence 0.848

143. g04447072.png ; $q ^ { \prime } \in A ^ { \prime }$ ; confidence 0.966

144. g04465025.png ; $a _ { y }$ ; confidence 0.519

145. g04466023.png ; $A _ { 0 } = \mathfrak { A } _ { 0 }$ ; confidence 0.968

146. g04466018.png ; $A = \sum _ { i \geq 0 } A$ ; confidence 0.975

147. g04468042.png ; $\operatorname { grad } ( f g ) = g \operatorname { grad } f + f \operatorname { grad } g$ ; confidence 0.981

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

149. g04473023.png ; $f _ { B } ( x ) = \frac { \lambda ^ { x } } { x ! } e ^ { - \lambda } \{ 1 + \frac { \mu _ { 2 } - \lambda } { \lambda ^ { 2 } } [ \frac { x ^ { [ 2 ] } } { 2 } - \lambda x ^ { [ 1 ] } + \frac { \lambda ^ { 2 } } { 2 } ] +$ ; confidence 0.569

150. g04477022.png ; $[ \Psi / \Phi ] \Phi$ ; confidence 0.955

151. g04478033.png ; $\mu ( \alpha )$ ; confidence 0.999

152. g04482057.png ; $x \in L ( \Gamma )$ ; confidence 0.995

153. g04484023.png ; $B \rightarrow b B$ ; confidence 0.994

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

155. g04491070.png ; $\sum _ { d ( e ) = Q } f _ { e }$ ; confidence 0.651

156. g04500031.png ; $( n \operatorname { ln } n ) / 2$ ; confidence 0.978

157. g04497028.png ; $E ^ { n } \times R$ ; confidence 0.937

158. g0450402.png ; $f _ { 12 }$ ; confidence 0.974

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

160. g045090122.png ; $\psi _ { k } ( \xi )$ ; confidence 0.998

161. g04509046.png ; $y ( \alpha ) = 0$ ; confidence 0.954

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

163. g045090287.png ; $G _ { A B } ^ { ( n ) } ( E )$ ; confidence 0.976

164. g12007022.png ; $m \equiv 4$ ; confidence 0.840

165. g1102602.png ; $B M$ ; confidence 0.973

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

167. h046010125.png ; $M _ { 2 } \times S ^ { N }$ ; confidence 0.923

168. h046010104.png ; $m \geq 3$ ; confidence 0.668

169. h12001013.png ; $X ^ { ( r ) } \rightarrow V$ ; confidence 0.950

170. h13009043.png ; $g _ { i } \in A$ ; confidence 0.960

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

172. h04608018.png ; $| x _ { \mathfrak { j } } | \leq M$ ; confidence 0.106

173. h11005031.png ; $w _ { 2 } = f ( r _ { 1 } ) \ldots f ( r _ { n } )$ ; confidence 0.851

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

175. h04628046.png ; $\frac { d ^ { 2 } y } { d t ^ { 2 } } + P ( t ) y = 0$ ; confidence 1.000

176. h04628059.png ; $x ^ { ( 1 ) } = x ^ { ( 1 ) } ( t )$ ; confidence 0.898

177. h046280124.png ; $X = \| \left. \begin{array} { l l } { U _ { 1 } } & { U _ { 2 } } \\ { V _ { 1 } } & { V _ { 2 } } \end{array} \right. |$ ; confidence 0.501

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

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

180. h120020104.png ; $P _ { - } \phi \in B _ { p } ^ { 1 / p }$ ; confidence 0.963

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

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

183. h04637012.png ; $\int _ { \alpha } ^ { b } \theta ^ { p } ( x ) d x \leq 2 ( \frac { p } { p - 1 } ) ^ { p } \int _ { a } ^ { b } f ^ { p } ( x ) d x$ ; confidence 0.187

184. h046320114.png ; $H ^ { p } ( G )$ ; confidence 0.998

185. h046320200.png ; $M _ { \delta } ( \phi ) \rightarrow 0$ ; confidence 0.996

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

187. h04642087.png ; $L _ { \infty } ( \hat { G } )$ ; confidence 0.973

188. h046420200.png ; $F ( \phi ) \in A ( \hat { G } )$ ; confidence 0.909

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

190. h046420157.png ; $d g = d h d k$ ; confidence 0.955

191. h04646046.png ; $p + q \leq \operatorname { dim } _ { C } M$ ; confidence 0.688

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

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

194. h0466006.png ; $\{ x : | x - y | < r \}$ ; confidence 0.915

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

196. h0470704.png ; $\alpha _ { i k } = \overline { a _ { k i } }$ ; confidence 0.235

197. h04716013.png ; $H ( z )$ ; confidence 0.999

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

199. h0472103.png ; $C$ ; confidence 0.952

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

201. h04721043.png ; $\Sigma _ { n } ^ { 0 }$ ; confidence 0.998

202. h04727012.png ; $\lambda = p ^ { - 1 } + r ^ { - 1 } \leq 1$ ; confidence 0.999

203. h047380203.png ; $\nu \in A$ ; confidence 0.971

204. h047380120.png ; $\sum _ { i } | \alpha _ { i } | ^ { 2 } < \infty$ ; confidence 0.995

205. h047380204.png ; $\sum _ { \nu \in A } \| x _ { \nu } \| ^ { 2 } < \infty$ ; confidence 0.895

206. h047390181.png ; $V = V ^ { + } \oplus V ^ { - }$ ; confidence 0.953

207. h04744011.png ; $\lambda _ { 4 n }$ ; confidence 0.681

208. h04744030.png ; $f ( 0 ) = f ( 1 ) = 0$ ; confidence 1.000

209. h11020058.png ; $\Psi ( y _ { n } ) \subseteq \Psi ( y _ { 0 } )$ ; confidence 0.934

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

211. h1102204.png ; $h : E ^ { m } \rightarrow R$ ; confidence 0.941

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

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

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

215. h11024037.png ; $\mu _ { 1 } < 0 < \lambda _ { 1 }$ ; confidence 0.999

216. h11024025.png ; $n _ { s } + n _ { u } = n$ ; confidence 0.172

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

218. h047690116.png ; $G = SU ( k )$ ; confidence 0.645

219. h04773077.png ; $\beta ^ { s - k } z ^ { \prime }$ ; confidence 0.907

220. h047740112.png ; $R ) = r . g \operatorname { lowdim } ( R ) = \operatorname { glowdim } ( R )$ ; confidence 0.142

221. h04774059.png ; $0 \rightarrow A ^ { \prime } \rightarrow A \rightarrow A ^ { \prime \prime } \rightarrow 0$ ; confidence 0.930

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

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

224. h047860136.png ; $n = r \neq 0$ ; confidence 0.966

225. h047930317.png ; $S X \rightarrow S X$ ; confidence 0.972

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

227. h04793027.png ; $x = [ u ]$ ; confidence 0.825

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

229. h047940245.png ; $\Delta _ { q }$ ; confidence 0.971

230. h047940319.png ; $\eta : \pi _ { N } \otimes \pi _ { N } \rightarrow \pi _ { N } + 1$ ; confidence 0.085

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

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

233. h04800018.png ; $\Omega \in \Delta ^ { n } S$ ; confidence 0.506

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

235. h04808011.png ; $n - 1 \geq p$ ; confidence 0.999

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

237. h11037062.png ; $n \neq 0$ ; confidence 0.999

238. h0481908.png ; $\nu = 0$ ; confidence 0.923

239. h0482005.png ; $Z = 1$ ; confidence 0.980

240. h13012038.png ; $| f ( x + y ) - f ( x ) f ( y ) | \leq \varepsilon$ ; confidence 0.999

241. h13013015.png ; $e ^ { i k x }$ ; confidence 0.648

242. h04825025.png ; $O A M$ ; confidence 0.981

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

244. h04830032.png ; $P _ { m } ( \xi + \tau N )$ ; confidence 0.978

245. h0483101.png ; $\frac { \partial w } { \partial t } = A \frac { \partial w } { \partial x }$ ; confidence 0.980

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

247. h04833042.png ; $W _ { X } ^ { S }$ ; confidence 0.678

248. h04833033.png ; $E _ { X } ^ { N }$ ; confidence 0.539

249. h04839015.png ; $U ^ { ( 2 ) }$ ; confidence 0.956

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

251. h11040065.png ; $H _ { 1 } \otimes I + I \otimes H _ { 2 }$ ; confidence 0.996

252. h048420118.png ; $F _ { j } ( z ) = \sum _ { k = 1 } ^ { N } G _ { j k } ( z )$ ; confidence 0.944

253. h0484203.png ; $F _ { + } ( x + i 0 ) - F _ { - } ( x - i 0 )$ ; confidence 0.881

254. h04844022.png ; $\alpha - \beta$ ; confidence 1.000

255. h0484406.png ; $w = z ^ { - \gamma / 2 } ( z - 1 ) ^ { ( \gamma - \alpha - \beta - 1 ) / 2 } u$ ; confidence 0.892

256. h0484501.png ; $z ( 1 - z ) w ^ { \prime \prime } + [ \gamma - ( \alpha + \beta + 1 ) z ] w ^ { \prime } - \alpha \beta w = 0$ ; confidence 0.996

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

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

259. h1104304.png ; $H _ { 1 } ( x ) < H _ { 2 } ( x )$ ; confidence 0.999

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

261. i05003048.png ; $I _ { X }$ ; confidence 0.507

262. i050030120.png ; $A \backslash I$ ; confidence 0.946

263. i11002022.png ; $0 = + \infty$ ; confidence 0.667

264. i11002068.png ; $( \lambda \odot \mu ) \odot v = \lambda \odot ( \mu \odot v )$ ; confidence 0.955

265. i11002080.png ; $( A )$ ; confidence 1.000

266. i11006080.png ; $T$ ; confidence 0.652

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

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

269. i050230164.png ; $H _ { p } ^ { r } ( R ^ { n } ) \rightarrow H _ { p ^ { \prime } } ^ { \rho ^ { \prime } } ( R ^ { m } ) \rightarrow H _ { p l ^ { \prime \prime } } ^ { \rho ^ { \prime \prime } } ( R ^ { m ^ { \prime \prime } } )$ ; confidence 0.143

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

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

272. i050230228.png ; $D _ { j } ^ { l } f \in L _ { p } ( R ^ { n } )$ ; confidence 0.948

273. i050230312.png ; $- \infty < r < \infty$ ; confidence 0.842

274. i05031036.png ; $\delta _ { 0 } > 0$ ; confidence 1.000

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

276. i13002074.png ; $+ \frac { n } { p _ { 1 } p _ { 2 } } + \ldots + \frac { n } { p _ { k - 1 } p _ { k } } + - \frac { n } { p _ { 1 } p _ { 2 } p _ { 3 } } - \ldots + ( - 1 ) ^ { k } \frac { n } { p _ { 1 } \ldots p _ { k } }$ ; confidence 0.552

277. i05064012.png ; $\gamma = \operatorname { ind } _ { g } a$ ; confidence 0.608

278. i0506506.png ; $D = L _ { 1 } / D ( L _ { 0 } )$ ; confidence 0.998

279. i050650145.png ; $\phi * : H ^ { * } ( B / S ) = H ^ { * } ( T M ) \rightarrow H ^ { * } ( M )$ ; confidence 0.867

280. i050650302.png ; $D$ ; confidence 0.996

281. i05065016.png ; $B ( M )$ ; confidence 1.000

282. i050650148.png ; $\therefore M \rightarrow E$ ; confidence 0.524

283. i050650137.png ; $K ( B / S )$ ; confidence 0.995

284. i050650262.png ; $K ( T M ^ { g } ) \otimes C \rightarrow C$ ; confidence 0.882

285. i050650350.png ; $i _ { \alpha } ( D ) \in K ( Y )$ ; confidence 0.971

286. i050650103.png ; $\Sigma ( M ) = B ^ { + } \cup _ { S ( M ) } B ^ { - }$ ; confidence 0.500

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

288. i130030142.png ; $\pi$ ; confidence 0.507

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

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

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

292. i05073063.png ; $K \subset H$ ; confidence 0.959

293. i05073087.png ; $\chi _ { \pi } ( g ) = \sum _ { \{ \delta : \delta y \in H \delta \} } \chi _ { \rho } ( \delta g \delta ^ { - 1 } )$ ; confidence 0.903

294. i05077013.png ; $\phi _ { \alpha \alpha } = 1 _ { A _ { \alpha } }$ ; confidence 0.624

295. i05077064.png ; $A = \operatorname { lim } _ { \rightarrow } F ( D )$ ; confidence 0.939

296. i05079039.png ; $| \alpha _ { 1 } + \ldots + \alpha _ { n } | \leq | \alpha _ { 1 } | + \ldots + | \alpha _ { n } |$ ; confidence 0.160

297. i05085060.png ; $A < \operatorname { ln } d X$ ; confidence 0.106

298. i05085011.png ; $1 ^ { \circ }$ ; confidence 0.592

299. i05091079.png ; $Y _ { n k }$ ; confidence 0.813

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

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/6. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/6&oldid=43813