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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 35 with 300 lines: Updated image/latex database (currently 10225 images latexified; order by Confidence, ascending: False.)
 
(7 intermediate revisions by the same user not shown)
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== List ==
 
== List ==
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/d/d034/d034120/d034120257.png ; $| z | < \sigma$ ; confidence 0.996
  
2. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820173.png ; $$F ( \overline { m } )$$ ; confidence 0.760
+
2. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090449.png ; $G ( m , 1 , n )$ ; confidence 0.996
  
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/d/d034/d034120/d034120301.png ; $\Lambda ( f )$ ; confidence 0.996
  
4. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040850/f040850279.png ; $$V _ { 1 } ^ { * }$$ ; confidence 0.750
+
4. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081030/r08103072.png ; $\Phi _ { k } ( S , G )$ ; confidence 0.996
  
5. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040850/f040850143.png ; $$\{ \lambda \}$$ ; confidence 1.000
+
5. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032016.png ; $R _ { 0 } ^ { ( i ) } ( z )$ ; confidence 0.996
  
6. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040850/f040850122.png ; $$A \rightarrow w$$ ; confidence 0.934
+
6. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010173.png ; $A ^ { + }$ ; confidence 0.996
  
7. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040850/f04085058.png ; $$\sigma ( \alpha ) = \{ w \}$$ ; confidence 0.997
+
7. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121094.png ; $q = - z$ ; confidence 0.996
  
8. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040960/f04096043.png ; $$I V _ { 2 }$$ ; confidence 0.996
+
8. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a011370138.png ; $R ( X )$ ; 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/a/a010/a010810/a01081039.png ; $x ( t )$ ; confidence 0.996
  
10. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041000/f0410005.png ; $$J _ { \nu }$$ ; confidence 0.556
+
10. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018045.png ; $g ( s )$ ; confidence 0.996
  
11. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120090/f12009069.png ; $$F \mu$$ ; confidence 0.813
+
11. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090364.png ; $\Lambda ( V ) \neq \Lambda$ ; confidence 0.996
  
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/a/a011/a011600/a011600158.png ; $H _ { 1 } = L _ { 1 }$ ; confidence 0.996
  
13. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120080/f120080162.png ; $$L _ { q } ( X )$$ ; confidence 0.846
+
13. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081026.png ; $m ( \leq n )$ ; confidence 0.996
  
14. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120080/f120080135.png ; $$\Lambda _ { G } = 1$$ ; confidence 0.897
+
14. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r0776403.png ; $\pi : Y \rightarrow X$ ; confidence 0.996
  
15. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120100/f12010041.png ; $$( 8 \times 8 )$$ ; confidence 1.000
+
15. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004029.png ; $d = \sqrt { \operatorname { deg } \phi _ { L } }$ ; confidence 0.996
  
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/a/a010/a010930/a0109302.png ; $10 ^ { 8 }$ ; confidence 0.996
  
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/c/c023/c023330/c02333043.png ; $k [ Y ] \rightarrow k [ X ]$ ; confidence 0.996
  
18. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041050/f04105039.png ; $$f \in L _ { 1 }$$ ; confidence 0.991
+
18. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110400/a11040091.png ; $t \mapsto T ^ { * } ( t ) x ^ { * }$ ; confidence 0.996
  
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/a/a120/a120310/a12031052.png ; $B ( K ) / M ( K )$ ; confidence 0.996
  
20. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041060/f041060172.png ; $$X ^ { \prime } \subset X$$ ; confidence 0.988
+
20. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110350/a11035015.png ; $\phi _ { \lambda } ( \Lambda ( x , y , t ) )$ ; confidence 0.996
  
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/t/t120/t120010/t12001056.png ; $F _ { 3 }$ ; confidence 0.996
  
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/t/t120/t120010/t120010116.png ; $\operatorname { dim } ( O ) = 4$ ; confidence 0.996
  
23. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041160/f04116031.png ; $$\alpha = - b$$ ; confidence 0.947
+
23. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001079.png ; $F _ { \tau } \subset F _ { 3 } \subset S$ ; confidence 0.996
  
24. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041170/f04117079.png ; $$f * g$$ ; confidence 0.637
+
24. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010107.png ; $n \geq 0$ ; confidence 0.996
  
25. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041170/f04117026.png ; $$K = D$$ ; confidence 0.998
+
25. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420112.png ; $f : G \rightarrow R$ ; confidence 0.996
  
26. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041170/f04117046.png ; $$F [ \delta ] = 1$$ ; confidence 0.999
+
26. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013027.png ; $\phi = \phi _ { - } \phi _ { + }$ ; confidence 0.996
  
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/a/a130/a130130/a13013024.png ; $g ( z )$ ; confidence 0.996
  
28. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041250/f04125082.png ; $$\xi _ { 1 } \neq \infty$$ ; confidence 0.999
+
28. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007080.png ; $\sigma ( n ) > \sigma ( m )$ ; confidence 0.996
  
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/a/a013/a013000/a01300016.png ; $\operatorname { deg } P \leq n$ ; confidence 0.996
  
30. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041250/f041250105.png ; $$L _ { k } ( z _ { k } )$$ ; confidence 0.991
+
30. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013980/a01398016.png ; $f ( \lambda ) = ( \frac { \sigma ^ { 2 } } { 2 \pi } ) | \phi ( e ^ { i \lambda } ) | ^ { - 2 }$ ; confidence 0.996
  
31. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041250/f0412506.png ; $$\infty \rightarrow \alpha / c$$ ; confidence 0.864
+
31. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110130/b110130197.png ; $f ( \zeta ) > 0$ ; confidence 0.996
  
32. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041210/f0412109.png ; $$A / \eta$$ ; confidence 0.702
+
32. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017330/b017330260.png ; $N ^ { * } ( \Omega )$ ; confidence 0.996
  
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/b/b017/b017470/b01747069.png ; $P _ { 1 / 2 }$ ; confidence 0.996
  
34. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041270/f04127030.png ; $$\alpha < \beta < \gamma$$ ; confidence 0.991
+
34. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120040/c12004038.png ; $\rho \in C ^ { 2 } ( \overline { \Omega } )$ ; confidence 0.996
  
35. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041270/f04127050.png ; $$x \in D ( A )$$ ; confidence 0.906
+
35. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021520/c02152013.png ; $V ( \Lambda ^ { \prime } ) \otimes V ( \Lambda ^ { \prime \prime } )$ ; confidence 0.996
  
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/c/c022/c022660/c022660241.png ; $C = C ( f )$ ; confidence 0.996
  
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/c/c025/c025140/c025140162.png ; $X \in V ( B )$ ; confidence 0.996
  
38. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041320/f04132023.png ; $$v _ { 0 } ^ { k }$$ ; confidence 0.384
+
38. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031850/d03185094.png ; $( \operatorname { arccos } x ) ^ { \prime } = - 1 / \sqrt { 1 - x ^ { 2 } }$ ; confidence 0.996
  
39. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120130/f12013083.png ; $$| \Phi ( G )$$ ; confidence 0.956
+
39. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033180/d03318044.png ; $e ( B / A ) f ( B / A ) = n$ ; confidence 0.996
  
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/d/d120/d120230/d12023095.png ; $R - F R F ^ { * } = G J G ^ { * }$ ; confidence 0.996
  
41. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041420/f04142082.png ; $$D ( \lambda ) \neq 0$$ ; confidence 0.997
+
41. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120272.png ; $A _ { 0 } ( G )$ ; confidence 0.996
  
42. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041420/f041420175.png ; $$| \lambda | < B ^ { - 1 }$$ ; confidence 0.997
+
42. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035250/e03525048.png ; $0 < \sigma < 0.5$ ; confidence 0.996
  
43. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f12015043.png ; $$\beta ( A ) < \infty$$ ; confidence 0.997
+
43. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038060/f03806015.png ; $V$ ; confidence 0.996
  
44. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f12015010.png ; $$R ( A )$$ ; confidence 1.000
+
44. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f13010077.png ; $\lambda ^ { p } ( M ^ { 1 } ( G ) )$ ; confidence 0.996
  
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/f040/f040960/f04096043.png ; $I V _ { 2 }$ ; confidence 0.996
  
46. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f120150202.png ; $$n \| < C$$ ; confidence 0.368
+
46. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046320/h046320200.png ; $M _ { \delta } ( \phi ) \rightarrow 0$ ; confidence 0.996
  
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/h/h110/h110400/h11040065.png ; $H _ { 1 } \otimes I + I \otimes H _ { 2 }$ ; confidence 0.996
  
48. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041510/f04151086.png ; $$( r \geq 1 )$$ ; confidence 1.000
+
48. 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
  
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/i/i050/i050650/i050650302.png ; $D$ ; confidence 0.996
  
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/i/i052/i052500/i05250023.png ; $O _ { X } ( 1 ) = O ( 1 )$ ; confidence 0.996
  
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/i/i052/i052800/i052800127.png ; $E ^ { 2 k + 1 }$ ; confidence 0.996
  
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/k/k055/k055030/k05503063.png ; $T ( X )$ ; confidence 0.996
  
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/l/l059/l059710/l05971012.png ; $f \in H _ { p } ^ { \alpha }$ ; confidence 0.996
  
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/m/m062/m062330/m06233049.png ; $M _ { \psi } ^ { 0 }$ ; confidence 0.996
  
55. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f1202105.png ; $$| z | < r$$ ; confidence 0.957
+
55. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062610/m06261017.png ; $\operatorname { lim } _ { \Delta x \rightarrow 0 } \Delta y = \operatorname { lim } _ { \Delta x \rightarrow 0 } [ f ( x + \Delta x ) - f ( x ) ] = 0$ ; confidence 0.996
  
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/m/m063/m063240/m063240678.png ; $E = E ^ { \prime }$ ; confidence 0.996
  
57. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f12021085.png ; $$\lambda = \lambda _ { j }$$ ; confidence 0.911
+
57. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063370/m06337017.png ; $t = t _ { 0 } > 0$ ; confidence 0.996
  
58. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041790/f04179028.png ; $$( n ! ) ^ { - 1 } n _ { D }$$ ; confidence 0.991
+
58. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063800/m06380058.png ; $\partial W _ { 1 } = M$ ; confidence 0.996
  
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/m/m064/m064700/m06470068.png ; $\partial V _ { t }$ ; confidence 0.996
  
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/n/n066/n066630/n06663062.png ; $0 < r - s < k$ ; confidence 0.996
  
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/p/p074/p074070/p0740707.png ; $\xi : F \rightarrow A$ ; confidence 0.996
  
62. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041880/f04188062.png ; $$V _ { 0 } ( z )$$ ; confidence 0.971
+
62. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076630/q07663014.png ; $\omega _ { 1 } / \omega _ { 2 }$ ; confidence 0.996
  
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/q/q076/q076670/q07667033.png ; $R [ x ]$ ; confidence 0.996
  
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/r/r077/r077640/r07764046.png ; $D _ { n - 2 }$ ; confidence 0.996
  
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/r/r130/r130070/r13007076.png ; $\| f \| = 0$ ; confidence 0.996
  
66. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041940/f041940314.png ; $$L _ { p } ( X )$$ ; confidence 0.970
+
66. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r130080102.png ; $\Lambda ^ { 2 } : = \sum _ { j = 1 } ^ { \infty } \lambda _ { j } < \infty$ ; confidence 0.996
  
67. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041940/f041940175.png ; $$S \subset T$$ ; confidence 0.743
+
67. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086720/s086720109.png ; $K ( d s ) = K$ ; confidence 0.996
  
68. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041940/f041940310.png ; $$A \in \mathfrak { S }$$ ; confidence 0.285
+
68. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090130/s09013024.png ; $H \mapsto \alpha ( H )$ ; confidence 0.996
  
69. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041950/f041950110.png ; $$f \in N ( \Delta )$$ ; confidence 0.997
+
69. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095400/u09540011.png ; $( g - 1 ) ^ { n } = 0$ ; confidence 0.996
  
70. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120240/f1202409.png ; $$t \mapsto t + T$$ ; confidence 0.520
+
70. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095820/u09582023.png ; $v ( x ) \geq f ( x )$ ; confidence 0.996
  
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/v/v096/v096380/v09638081.png ; $u ^ { * } ( \pi )$ ; confidence 0.996
  
72. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042060/f04206038.png ; $$P ( C A )$$ ; confidence 0.999
+
72. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096380/v096380128.png ; $w : \xi \oplus \zeta \rightarrow \pi$ ; confidence 0.996
  
73. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042060/f04206074.png ; $$f ( - x ) = - f ( x )$$ ; confidence 1.000
+
73. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096740/v0967406.png ; $v _ { \nu } ( t _ { 0 } ) = 0$ ; confidence 0.996
  
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/v/v096/v096900/v096900124.png ; $P _ { 1 } \in A$ ; confidence 0.996
  
75. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042070/f04207074.png ; $$T _ { N } ( t )$$ ; confidence 0.993
+
75. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w13008076.png ; $N = 2$ ; confidence 0.996
  
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/y/y120/y120010/y12001017.png ; $R _ { 12 } R _ { 13 } R _ { 23 } = R _ { 23 } R _ { 13 } R _ { 12 }$ ; confidence 0.996
  
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/a/a010/a010180/a01018047.png ; $\zeta ( s )$ ; confidence 0.996
  
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/a/a011/a011300/a01130088.png ; $( \Delta _ { i } )$ ; confidence 0.996
  
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/e/e036/e036960/e03696061.png ; $\delta \in \Delta$ ; confidence 0.996
  
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/c/c020/c020280/c020280211.png ; $| f ( z ) | \leq 1$ ; confidence 0.996
  
81. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f130290181.png ; $$LOC$$ ; confidence 0.417
+
81. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h0479705.png ; $\delta : A \rightarrow A \otimes A$ ; confidence 0.996
  
82. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043010/g04301029.png ; $$X \times F$$ ; confidence 0.480
+
82. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006025.png ; $X = [ L ^ { 2 } ( \Omega ) ] ^ { p }$ ; confidence 0.996
  
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/a/a120/a120050/a12005035.png ; $\theta _ { 0 } \in ( \pi / 2 , \pi )$ ; confidence 0.996
  
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/h/h047/h047410/h047410105.png ; $G ( K / k )$ ; confidence 0.996
  
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/a/a011/a011300/a011300142.png ; $L _ { \mu } \subset P _ { \mu }$ ; confidence 0.996
  
86. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020155.png ; $$V \oplus \mathfrak { g }$$ ; confidence 0.476
+
86. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450257.png ; $g \geq 40$ ; confidence 0.996
  
87. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020256.png ; $$C ^ { ( 0 ) }$$ ; confidence 0.988
+
87. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020540/c020540286.png ; $p - 1$ ; confidence 0.996
  
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/a/a010/a010460/a01046069.png ; $P ( x )$ ; confidence 0.996
  
89. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043280/g0432806.png ; $$\mathfrak { x } \times x$$ ; confidence 0.416
+
89. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010600/a01060030.png ; $p = + \infty$ ; confidence 0.996
  
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/l/l058/l058590/l058590151.png ; $G / R ( G )$ ; confidence 0.996
  
91. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043280/g0432804.png ; $$\hat { K } _ { i }$$ ; confidence 0.180
+
91. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008025.png ; $f ( L ) = \alpha g ( L ; m , s ) , f ( R ) = \alpha g ( R ; m , s )$ ; confidence 0.996
  
92. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043280/g0432802.png ; $$x$$ ; confidence 0.485
+
92. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010330/a0103303.png ; $r > 0$ ; confidence 0.996
  
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/l/l058/l058520/l05852072.png ; $[ s , n ] = 0$ ; confidence 0.996
  
94. https://www.encyclopediaofmath.org/legacyimages/g/g110/g110050/g11005015.png ; $$\nu < \kappa$$ ; confidence 0.992
+
94. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559086.png ; $( b , \{ M \} )$ ; confidence 0.996
  
95. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043330/g04333080.png ; $$\omega = 1 / c ^ { 2 }$$ ; confidence 0.906
+
95. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110360/a1103606.png ; $G \subset 2 ^ { H }$ ; confidence 0.996
  
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/d/d033/d033340/d033340242.png ; $z = z ( u , v )$ ; confidence 0.996
  
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/a/a010/a010820/a01082078.png ; $H ^ { A } ( Y ) = H ( A , Y )$ ; confidence 0.996
  
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/a/a120/a120310/a12031058.png ; $C ( S )$ ; confidence 0.996
  
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/a/a011/a011450/a011450255.png ; $g \geq 25$ ; confidence 0.996
  
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/a/a110/a110170/a11017049.png ; $Q s = \rho U ^ { 2 } s$ ; confidence 0.996
  
101. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120030/g12003011.png ; $$3 n + 2$$ ; confidence 1.000
+
101. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120250.png ; $k ( \phi )$ ; confidence 0.996
  
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/a/a011/a011450/a011450150.png ; $+ 1$ ; confidence 0.996
  
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/l/l058/l058590/l05859095.png ; $L ( G _ { 1 } ) \rightarrow L ( G _ { 2 } )$ ; confidence 0.996
  
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/q/q076/q076310/q0763106.png ; $\Delta : A \rightarrow A \otimes A$ ; confidence 0.996
  
105. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043480/g0434807.png ; $$\alpha _ { 31 } / \alpha _ { 11 }$$ ; confidence 0.405
+
105. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700260.png ; $k ( ( t ) )$ ; confidence 0.996
  
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/d/d034/d034120/d034120242.png ; $H ^ { p } ( X , F ) = H ^ { p + 1 } ( X , F ) = 0$ ; confidence 0.996
  
107. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043580/g04358023.png ; $$f _ { \zeta } ( \lambda )$$ ; confidence 0.821
+
107. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g13006096.png ; $1 \leq i , j \leq n$ ; confidence 0.996
  
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/q/q076/q076310/q076310155.png ; $U ( g )$ ; confidence 0.996
  
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/a/a010/a010240/a01024083.png ; $\int _ { L } \omega = 0$ ; confidence 0.996
  
110. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g043780250.png ; $$\hbar \square ^ { * } ( M )$$ ; confidence 0.620
+
110. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590463.png ; $f ( x , y ) = x ^ { m - 1 } - x y ^ { 2 } = x ( x ^ { m - 2 } - y ^ { 2 } )$ ; confidence 0.996
  
111. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g043780168.png ; $$T _ { \nu }$$ ; confidence 0.336
+
111. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a011380169.png ; $i \neq j$ ; confidence 0.996
  
112. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g04378073.png ; $$i : A \rightarrow X$$ ; confidence 0.995
+
112. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872073.png ; $\Lambda _ { p } ( x , y ) = 0$ ; confidence 0.996
  
113. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g043780134.png ; $$F = p t$$ ; confidence 0.143
+
113. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008098.png ; $k = 2$ ; confidence 0.996
  
114. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g043780157.png ; $$T \xi$$ ; confidence 0.994
+
114. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240338.png ; $N ( 0 , \Sigma _ { 1 } )$ ; confidence 0.996
  
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/k/k120/k120030/k1200302.png ; $\operatorname { Ric } ( \omega ) = \lambda \omega$ ; confidence 0.996
  
116. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g043810381.png ; $$C = \text { int } \Gamma$$ ; confidence 0.630
+
116. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240495.png ; $m = 2$ ; confidence 0.996
  
117. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g04381012.png ; $$\overline { O } _ { k }$$ ; confidence 0.968
+
117. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010760/a01076010.png ; $I ( t ) - I ( 0 )$ ; confidence 0.996
  
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/a/a014/a014170/a014170135.png ; $D ( G )$ ; confidence 0.996
  
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/c/c023/c023470/c02347021.png ; $( P \times C ) / Z$ ; confidence 0.996
  
120. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g043810238.png ; $$x u = 0$$ ; confidence 0.979
+
120. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820177.png ; $[ n ] ( X ) = F ( X , [ n - 1 ] ( X ) )$ ; confidence 0.996
  
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/a/a130/a130120/a13012029.png ; $A _ { \mu } ( s )$ ; confidence 0.996
  
122. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003082.png ; $$\Gamma \subset \Omega$$ ; confidence 0.987
+
122. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450132.png ; $\phi _ { 3 K } ( Y )$ ; confidence 0.996
  
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/a/a013/a013820/a01382017.png ; $\theta \in \Theta$ ; confidence 0.996
  
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/h/h047/h047970/h04797022.png ; $\epsilon ^ { * } : K \rightarrow A ^ { * }$ ; confidence 0.996
  
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/b/b015/b015110/b01511048.png ; $\Gamma = \partial D$ ; confidence 0.996
  
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/a/a010/a010820/a01082080.png ; $( A , Y )$ ; confidence 0.996
  
127. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044340/g04434018.png ; $$d f ( X )$$ ; confidence 0.998
+
127. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012061.png ; $( x ^ { * } , y ^ { * } ) \in J$ ; confidence 0.996
  
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/l/l058/l058400/l0584006.png ; $\operatorname { exp } : \mathfrak { g } \rightarrow G$ ; confidence 0.996
  
129. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044350/g044350167.png ; $$\alpha ( F ) = 1$$ ; confidence 1.000
+
129. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011390/a01139016.png ; $L _ { 1 } ( G ) \rightarrow M ( G )$ ; confidence 0.996
  
130. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044350/g044350101.png ; $$D \Re \subset M$$ ; confidence 0.255
+
130. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010330/a01033011.png ; $p ( x )$ ; confidence 0.996
  
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/a/a010/a010680/a01068042.png ; $\theta _ { 1 } < 1$ ; confidence 0.996
  
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/n/n066/n066900/n066900115.png ; $( m , \phi ) \sim ( m ^ { \prime } , \phi ^ { \prime } )$ ; confidence 0.996
  
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/a/a010/a010550/a01055040.png ; $G = R$ ; confidence 0.996
  
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/c/c024/c024330/c02433072.png ; $A \rightarrow B$ ; confidence 0.996
  
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/a/a130/a130060/a13006087.png ; $\partial ( \overline { H } ) =$ ; confidence 0.995
  
136. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044400/g04440061.png ; $$z$$ ; confidence 0.578
+
136. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450131.png ; $\phi _ { 3 K } ( X )$ ; confidence 0.995
  
137. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044400/g04440029.png ; $$\delta \varepsilon$$ ; confidence 0.600
+
137. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a11022033.png ; $B \in B ( R ^ { n } )$ ; confidence 0.995
  
138. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044400/g04440032.png ; $$d E$$ ; confidence 0.607
+
138. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640131.png ; $( V , \alpha )$ ; confidence 0.995
  
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/a/a120/a120080/a12008045.png ; $D ( A ) \times V$ ; confidence 0.995
  
140. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044410/g0444109.png ; $$A < \alpha < b < B$$ ; confidence 0.686
+
140. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120030/a12003016.png ; $f ( x ) = \int _ { 0 } ^ { \infty } e ^ { x t } d \mu ( t )$ ; confidence 0.995
  
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/a/a120/a120180/a12018033.png ; $i = 0,1,2$ ; confidence 0.995
  
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/a/a110/a110010/a110010172.png ; $\| ( A + \delta A ) ^ { + } \| _ { 2 } > \frac { 1 } { \| \delta A \| _ { 2 } }$ ; confidence 0.995
  
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/d/d031/d031830/d031830334.png ; $\Sigma \backslash \{ F \}$ ; confidence 0.995
  
144. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044650/g04465025.png ; $$a _ { y }$$ ; confidence 0.519
+
144. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210128.png ; $( f )$ ; confidence 0.995
  
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/s/s130/s130540/s13054019.png ; $x y x ^ { - 1 } y ^ { - 1 }$ ; confidence 0.995
  
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/a/a110/a110100/a11010080.png ; $\int w g d \mu = g ( x )$ ; confidence 0.995
  
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/a/a130/a130050/a130050191.png ; $\partial ( A ) = \operatorname { log } _ { p } \operatorname { card } ( A )$ ; confidence 0.995
  
148. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044680/g04468049.png ; $$t \circ \in E$$ ; confidence 0.290
+
148. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081030/r08103045.png ; $\alpha \in \Phi _ { k } ( S , G )$ ; confidence 0.995
  
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/a/a110/a110350/a11035021.png ; $\psi _ { 0 } ( t ) = 1$ ; confidence 0.995
  
150. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044770/g04477022.png ; $$[ \Psi / \Phi ] \Phi$$ ; confidence 0.955
+
150. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024051.png ; $L ^ { * } \subset F ^ { * }$ ; confidence 0.995
  
151. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044780/g04478033.png ; $$\mu ( \alpha )$$ ; confidence 0.999
+
151. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006081.png ; $( t , u ) \in [ 0 , T ] \times W$ ; confidence 0.995
  
152. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044820/g04482057.png ; $$x \in L ( \Gamma )$$ ; confidence 0.995
+
152. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a011490146.png ; $y = \frac { t ^ { 2 } + 1 } { t ^ { 2 } - 1 } , \quad x = \frac { 2 t } { t ^ { 2 } - 1 }$ ; 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/a/a011/a011500/a01150072.png ; $f : P ^ { 2 } \rightarrow X$ ; confidence 0.995
  
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/b/b130/b130290/b13029059.png ; $1 \leq i \leq d$ ; confidence 0.995
  
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/a/a010/a010210/a010210111.png ; $( \omega )$ ; confidence 0.995
  
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/a/a110/a110040/a11004041.png ; $( k )$ ; confidence 0.995
  
157. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044970/g04497028.png ; $$E ^ { n } \times R$$ ; confidence 0.937
+
157. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040190.png ; $p ( D _ { i } )$ ; confidence 0.995
  
158. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045040/g0450402.png ; $$f _ { 12 }$$ ; confidence 0.974
+
158. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820150.png ; $\gamma _ { 0 } ( T )$ ; confidence 0.995
  
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/a/a011/a011210/a01121085.png ; $\lambda \rightarrow + \infty$ ; confidence 0.995
  
160. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g045090122.png ; $$\psi _ { k } ( \xi )$$ ; confidence 0.998
+
160. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120388.png ; $f ^ { * } ( z )$ ; confidence 0.995
  
161. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g04509046.png ; $$y ( \alpha ) = 0$$ ; confidence 0.954
+
161. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014070/a0140703.png ; $1$ ; confidence 0.995
  
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/a/a010/a010680/a01068019.png ; $r ( n ) \neq 0$ ; confidence 0.995
  
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/a/a120/a120100/a12010080.png ; $J _ { \lambda } = ( I + \lambda A ) ^ { - 1 }$ ; confidence 0.995
  
164. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120070/g12007022.png ; $$m \equiv 4$$ ; confidence 0.840
+
164. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872069.png ; $Z ( L )$ ; confidence 0.995
  
165. https://www.encyclopediaofmath.org/legacyimages/g/g110/g110260/g1102602.png ; $$B M$$ ; confidence 0.973
+
165. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015560/b01556096.png ; $F , G$ ; confidence 0.995
  
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/u/u095/u095240/u09524060.png ; $\{ \alpha t + \beta \}$ ; confidence 0.995
  
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/s/s085/s085590/s085590282.png ; $f ( z ) = z _ { 1 } / z _ { 2 }$ ; confidence 0.995
  
168. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046010/h046010104.png ; $$m \geq 3$$ ; confidence 0.668
+
168. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016045.png ; $A ( t ) = [ f ( u ( t ) ) + \beta ( X ( t ) - X ( t - \tau ) ) ] [ N _ { 0 } - A ( t ) ]$ ; confidence 0.995
  
169. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120010/h12001013.png ; $$X ^ { ( r ) } \rightarrow V$$ ; confidence 0.950
+
169. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010840/a01084027.png ; $L \rightarrow L ^ { * }$ ; confidence 0.995
  
170. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130090/h13009043.png ; $$g _ { i } \in A$$ ; confidence 0.960
+
170. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018051.png ; $\alpha = 0$ ; confidence 0.995
  
171. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130090/h13009035.png ; $$g \rightarrow g$$ ; confidence 0.987
+
171. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097710/w09771076.png ; $W = N / T$ ; confidence 0.995
  
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/a/a110/a110500/a11050074.png ; $K = Q$ ; confidence 0.995
  
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/a/a120/a120110/a12011027.png ; $T ( i , n ) = T ( i - 1 , T ( i , n - 1 ) ) \text { for } i \geq 1 , n \geq 2$ ; confidence 0.995
  
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/a/a110/a110100/a11010049.png ; $( T _ { \alpha } ) _ { \alpha \in A }$ ; confidence 0.995
  
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/a/a110/a110160/a11016051.png ; $p _ { k } = r _ { k } + \beta _ { k } p _ { k - 1 }$ ; confidence 0.995
  
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/a/a110/a110010/a110010125.png ; $A ^ { + } A A ^ { + } = A ^ { + }$ ; confidence 0.995
  
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/a/a012/a012460/a012460117.png ; $\lambda _ { 1 } , \lambda _ { 2 }$ ; confidence 0.995
  
178. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046300/h04630075.png ; $$M _ { 0 } \times I$$ ; confidence 0.798
+
178. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640157.png ; $p _ { 2 } > 1$ ; confidence 0.995
  
179. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046300/h046300124.png ; $$P _ { n - k }$$ ; confidence 0.990
+
179. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010128.png ; $b _ { 2 } \neq b _ { 4 }$ ; confidence 0.995
  
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/a/a130/a130240/a130240142.png ; $m \times 1$ ; confidence 0.995
  
181. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120020/h1200207.png ; $$\hat { \phi } ( j ) = \alpha$$ ; confidence 0.791
+
181. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040442.png ; $h ^ { - 1 } ( F _ { 0 } )$ ; confidence 0.995
  
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/a/a110/a110160/a11016027.png ; $A = L + D + U$ ; confidence 0.995
  
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/a/a120/a120160/a12016064.png ; $\lambda < 1$ ; confidence 0.995
  
184. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046320/h046320114.png ; $$H ^ { p } ( G )$$ ; confidence 0.998
+
184. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011520/a01152034.png ; $\tau : G \times V \rightarrow V$ ; confidence 0.995
  
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/a/a011/a011650/a011650288.png ; $m = \nu ( P )$ ; confidence 0.995
  
186. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h046420330.png ; $$B = B _ { E }$$ ; confidence 0.754
+
186. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110100/b110100392.png ; $T _ { K } ( K )$ ; confidence 0.995
  
187. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h04642087.png ; $$L _ { \infty } ( \hat { G } )$$ ; confidence 0.973
+
187. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110060/c11006048.png ; $0 \leq j < k$ ; confidence 0.995
  
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/c/c023/c023380/c02338015.png ; $\phi \in \Phi$ ; confidence 0.995
  
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/c/c023/c023550/c023550172.png ; $\overline { f } : \mu X \rightarrow \mu Y$ ; confidence 0.995
  
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/c/c024/c024450/c0244507.png ; $U ( A ) \subset Y$ ; confidence 0.995
  
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/c/c024/c024780/c024780245.png ; $\operatorname { arg } z = c$ ; confidence 0.995
  
192. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046470/h046470224.png ; $$d \sigma ( y )$$ ; confidence 0.992
+
192. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024790/c02479065.png ; $f ( \zeta )$ ; confidence 0.995
  
193. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120030/h12003026.png ; $$\operatorname { dim } M = 2$$ ; confidence 0.993
+
193. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025650/c02565066.png ; $D \subset R$ ; confidence 0.995
  
194. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046600/h0466006.png ; $$\{ x : | x - y | < r \}$$ ; confidence 0.915
+
194. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120300/c12030087.png ; $T _ { 1 } ( H )$ ; confidence 0.995
  
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/d/d031/d031100/d0311001.png ; $\zeta ( s ) = \sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { s } }$ ; confidence 0.995
  
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/d/d031/d031380/d031380332.png ; $E = N$ ; confidence 0.995
  
197. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047160/h04716013.png ; $$H ( z )$$ ; confidence 0.999
+
197. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040690/f04069050.png ; $\Omega \in ( H ^ { \otimes 0 } ) _ { \alpha } \subset \Gamma ^ { \alpha } ( H )$ ; confidence 0.995
  
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/g/g043/g043780/g04378073.png ; $i : A \rightarrow X$ ; confidence 0.995
  
199. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047210/h0472103.png ; $$C$$ ; confidence 0.952
+
199. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044820/g04482057.png ; $x \in L ( \Gamma )$ ; confidence 0.995
  
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/h047380/h047380120.png ; $\sum _ { i } | \alpha _ { i } | ^ { 2 } < \infty$ ; confidence 0.995
  
201. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047210/h04721043.png ; $$\Sigma _ { n } ^ { 0 }$$ ; confidence 0.998
+
201. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650137.png ; $K ( B / S )$ ; confidence 0.995
  
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/i/i052/i052230/i0522303.png ; $x \leq z \leq y$ ; confidence 0.995
  
203. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047380/h047380203.png ; $$\nu \in A$$ ; confidence 0.971
+
203. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052730/i05273034.png ; $p : G \rightarrow G$ ; confidence 0.995
  
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/j/j054/j054050/j054050155.png ; $e _ { 1 } = ( 2 - k ^ { 2 } ) / 3$ ; 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/j/j130/j130040/j13004062.png ; $\operatorname { cr } ( K )$ ; confidence 0.995
  
206. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047390/h047390181.png ; $$V = V ^ { + } \oplus V ^ { - }$$ ; confidence 0.953
+
206. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120080/k12008015.png ; $K _ { p } ( f ) ( p _ { i } ) = f ( p _ { i } )$ ; confidence 0.995
  
207. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047440/h04744011.png ; $$\lambda _ { 4 n }$$ ; confidence 0.681
+
207. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058480/l05848075.png ; $L ( H )$ ; confidence 0.995
  
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/l/l059/l059170/l05917055.png ; $\Gamma _ { 0 } ( . )$ ; confidence 0.995
  
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/l/l059/l059350/l05935079.png ; $W ( t ) \neq 0$ ; confidence 0.995
  
210. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047470/h04747031.png ; $$F ^ { p }$$ ; confidence 0.768
+
210. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063240/m063240572.png ; $\Lambda ( f ) \geq 0$ ; confidence 0.995
  
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/m/m063/m063460/m06346056.png ; $D ( z ) \neq 0$ ; confidence 0.995
  
212. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047540/h04754045.png ; $$\Omega \frac { p } { x }$$ ; confidence 0.447
+
212. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066410/n06641023.png ; $\overline { \partial } f = \phi$ ; confidence 0.995
  
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/p/p072/p072850/p072850146.png ; $H _ { k } ( M ^ { n } )$ ; confidence 0.995
  
214. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047610/h04761062.png ; $$\mathfrak { M } ( M )$$ ; confidence 0.763
+
214. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075360/p07536031.png ; $\operatorname { Proj } ( R )$ ; confidence 0.995
  
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/p/p075/p075660/p075660113.png ; $| \xi | \leq 1 / 2$ ; confidence 0.995
  
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/r/r082/r082160/r082160294.png ; $\gamma _ { \xi } ( t )$ ; confidence 0.995
  
217. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h04769040.png ; $$g x = y$$ ; confidence 0.997
+
217. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559028.png ; $L _ { 2 } : z = \phi _ { 2 } ( t )$ ; confidence 0.995
  
218. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h047690116.png ; $$G = SU ( k )$$ ; confidence 0.645
+
218. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087800/s08780044.png ; $| u ( x _ { 1 } ) - u ( x _ { 2 } ) | \leq C | x _ { 1 } - x _ { 2 }$ ; confidence 0.995
  
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/t/t092/t092810/t092810205.png ; $\beta ( M )$ ; confidence 0.995
  
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/t/t093/t093180/t093180434.png ; $D ( R ^ { n + k } )$ ; confidence 0.995
  
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/w/w097/w097600/w09760044.png ; $H ^ { i } ( X )$ ; confidence 0.995
  
222. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h12012026.png ; $$f \phi = 0$$ ; confidence 0.993
+
222. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092900/t0929001.png ; $( \Delta , A )$ ; confidence 0.995
  
223. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h120120117.png ; $$T ( H ( A ) )$$ ; confidence 0.997
+
223. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010820/a01082053.png ; $F ( X )$ ; confidence 0.995
  
224. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047860/h047860136.png ; $$n = r \neq 0$$ ; confidence 0.966
+
224. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145093.png ; $l ( D ) = \operatorname { deg } ( D ) - g + 1$ ; confidence 0.995
  
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/m/m064/m064510/m064510130.png ; $g \geq 24$ ; confidence 0.995
  
226. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047930/h047930299.png ; $$Z / p$$ ; confidence 0.808
+
226. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120460.png ; $A \subset F ^ { \prime }$ ; confidence 0.995
  
227. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047930/h04793027.png ; $$x = [ u ]$$ ; confidence 0.825
+
227. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a120070125.png ; $( t , v )$ ; confidence 0.995
  
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/d/d030/d030700/d03070091.png ; $D ( S )$ ; confidence 0.995
  
229. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047940/h047940245.png ; $$\Delta _ { q }$$ ; confidence 0.971
+
229. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087080/s08708085.png ; $I ( T , \aleph _ { \alpha } )$ ; confidence 0.995
  
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/a/a010/a010180/a01018057.png ; $B _ { j } , s _ { j } , \alpha _ { j }$ ; confidence 0.995
  
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/a/a010/a010680/a01068027.png ; $g ( A ) , G ( A ) , G _ { 0 } ( A )$ ; confidence 0.995
  
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/a/a011/a011600/a011600105.png ; $k ( \theta )$ ; confidence 0.995
  
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/a/a011/a011490/a01149033.png ; $F ( x , y ) = 0 , \quad \frac { \partial F ( x , y ) } { \partial y } = 0$ ; confidence 0.995
  
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/a/a120/a120070/a12007050.png ; $f \in L ^ { \infty } ( 0 , T ; X )$ ; confidence 0.995
  
235. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048080/h04808011.png ; $$n - 1 \geq p$$ ; confidence 0.999
+
235. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590493.png ; $X , Y : G \rightarrow R$ ; confidence 0.995
  
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/a/a010/a010290/a010290101.png ; $( A B C D )$ ; confidence 0.995
  
237. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110370/h11037062.png ; $$n \neq 0$$ ; confidence 0.999
+
237. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010271.png ; $A X + X B = C$ ; confidence 0.995
  
238. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048190/h0481908.png ; $$\nu = 0$$ ; confidence 0.923
+
238. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a01160022.png ; $x ^ { 2 } - D y ^ { 2 } = 1$ ; confidence 0.995
  
239. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048200/h0482005.png ; $$Z = 1$$ ; confidence 0.980
+
239. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006061.png ; $L ( X )$ ; confidence 0.995
  
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/a/a120/a120200/a12020017.png ; $p ( t ) \in F [ t ]$ ; confidence 0.995
  
241. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130130/h13013015.png ; $$e ^ { i k x }$$ ; confidence 0.648
+
241. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012054.png ; $y _ { j } ^ { j } > 0$ ; confidence 0.995
  
242. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048250/h04825025.png ; $$O A M$$ ; confidence 0.981
+
242. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010050.png ; $T _ { \alpha } ( g ) \rightarrow g$ ; confidence 0.995
  
243. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048270/h04827072.png ; $$f : \Omega \rightarrow B$$ ; confidence 0.997
+
243. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040121.png ; $( A , \lambda = [ L ] )$ ; confidence 0.995
  
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/a/a010/a010820/a01082060.png ; $\alpha = G ( \alpha ^ { \prime } ) \epsilon$ ; confidence 0.995
  
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/a/a120/a120200/a12020072.png ; $\operatorname { dim } X < + \infty$ ; confidence 0.995
  
246. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048310/h04831085.png ; $$\alpha = a ( x )$$ ; confidence 0.757
+
246. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590632.png ; $( F _ { y } ^ { \prime } ) _ { 0 } = 0$ ; confidence 0.995
  
247. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048330/h04833042.png ; $$W _ { X } ^ { S }$$ ; confidence 0.678
+
247. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a01137039.png ; $p ^ { \prime } ( f ) \in \epsilon ( A )$ ; confidence 0.995
  
248. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048330/h04833033.png ; $$E _ { X } ^ { N }$$ ; confidence 0.539
+
248. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040117.png ; $B = E _ { 1 } \times E _ { 2 }$ ; confidence 0.995
  
249. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048390/h04839015.png ; $$U ^ { ( 2 ) }$$ ; confidence 0.956
+
249. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010930/a01093031.png ; $\phi = \psi - y$ ; confidence 0.995
  
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/l/l058/l058480/l05848067.png ; $[ X , Y ] = X Y - Y X$ ; confidence 0.995
  
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/a/a011/a011380/a01138011.png ; $( ( x \& y ) \rightarrow z )$ ; confidence 0.995
  
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/a/a130/a130240/a1302409.png ; $( n \times 1 )$ ; confidence 0.995
  
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/a/a110/a110220/a11022077.png ; $L ( \phi ) ( \omega ) = \int _ { 0 } ^ { \infty } \phi ( t ) d w _ { t }$ ; confidence 0.995
  
254. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048440/h04844022.png ; $$\alpha - \beta$$ ; confidence 1.000
+
254. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081081.png ; $m - n + k$ ; confidence 0.995
  
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/a/a130/a130040/a130040762.png ; $\Sigma ( P , R ^ { \prime } )$ ; confidence 0.995
  
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/a/a011/a011370/a01137043.png ; $( f ) \in A$ ; confidence 0.995
  
257. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048520/h04852064.png ; $$| f | = 1$$ ; confidence 0.989
+
257. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058680/l05868040.png ; $\Gamma _ { 1 } / \Gamma ( G )$ ; confidence 0.995
  
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/a/a130/a130070/a130070136.png ; $2 - 10 ^ { - 12 } < \sigma ( n ) / n < 2 + 10 ^ { - 12 }$ ; confidence 0.995
  
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/a/a130/a130060/a13006031.png ; $P _ { K } ( n )$ ; confidence 0.995
  
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/a/a120/a120070/a12007049.png ; $B ( D _ { A } ( \alpha , \infty ) )$ ; confidence 0.995
  
261. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050030/i05003048.png ; $$I _ { X }$$ ; confidence 0.507
+
261. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700264.png ; $\phi _ { i } \in A ( V )$ ; confidence 0.995
  
262. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050030/i050030120.png ; $$A \backslash I$$ ; confidence 0.946
+
262. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600170.png ; $( \operatorname { mod } f )$ ; confidence 0.995
  
263. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110020/i11002022.png ; $$0 = + \infty$$ ; confidence 0.667
+
263. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559031.png ; $\phi _ { 2 } ( 0 ) = \zeta$ ; confidence 0.994
  
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/s/s085/s085590/s08559011.png ; $L : [ 0,1 ] \rightarrow \overline { C }$ ; confidence 0.994
  
265. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110020/i11002080.png ; $$( A )$$ ; confidence 1.000
+
265. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120243.png ; $H ^ { p } ( Y , F )$ ; confidence 0.994
  
266. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110060/i11006080.png ; $$T$$ ; confidence 0.652
+
266. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010083.png ; $K ( M ) = C _ { W } ( X )$ ; confidence 0.994
  
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/b/b120/b120060/b1200602.png ; $\epsilon = 1$ ; confidence 0.994
  
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/c/c025/c025020/c02502011.png ; $f : X \rightarrow \overline { R }$ ; confidence 0.994
  
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/b/b130/b130200/b130200142.png ; $i \neq 0$ ; confidence 0.994
  
270. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i05023059.png ; $$1 < m \leq n$$ ; confidence 0.737
+
270. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a1300805.png ; $h ( x )$ ; confidence 0.994
  
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/a/a011/a011210/a01121065.png ; $q ( x )$ ; confidence 0.994
  
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/a/a120/a120120/a12012017.png ; $m = n$ ; confidence 0.994
  
273. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i050230312.png ; $$- \infty < r < \infty$$ ; confidence 0.842
+
273. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011970/a0119703.png ; $\phi ( x )$ ; confidence 0.994
  
274. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050310/i05031036.png ; $$\delta _ { 0 } > 0$$ ; confidence 1.000
+
274. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040347.png ; $K ( x ) \approx L ( x )$ ; confidence 0.994
  
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/a/a011/a011500/a01150018.png ; $\Delta ( \theta ) = \sqrt { ( 1 - c ^ { 2 } \lambda ^ { 2 } ) ( 1 - e ^ { 2 } \lambda ^ { 2 } ) }$ ; confidence 0.994
  
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/a/a011/a011460/a01146055.png ; $Z , Z ^ { \prime } \in C ^ { 1 } ( X )$ ; confidence 0.994
  
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/b/b017/b017330/b01733083.png ; $f _ { 2 } ( z )$ ; confidence 0.994
  
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/a/a120/a120050/a12005044.png ; $B > 0$ ; confidence 0.994
  
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/a/a110/a110220/a11022061.png ; $B \in B ( R ^ { j } )$ ; confidence 0.994
  
280. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650302.png ; $$D$$ ; confidence 0.996
+
280. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001045.png ; $\epsilon = 5.10 ^ { - t }$ ; confidence 0.994
  
281. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i05065016.png ; $$B ( M )$$ ; confidence 1.000
+
281. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050122.png ; $\frac { d u ( t ) } { d t } + A ( t , u ( t ) ) u ( t ) = f ( t , u ( t ) )$ ; confidence 0.994
  
282. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650148.png ; $$\therefore M \rightarrow E$$ ; confidence 0.524
+
282. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029091.png ; $( X , \delta )$ ; confidence 0.994
  
283. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650137.png ; $$K ( B / S )$$ ; confidence 0.995
+
283. https://www.encyclopediaofmath.org/legacyimages/i/i053/i053060/i0530605.png ; $K , A , N$ ; confidence 0.994
  
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/a/a010/a010840/a01084026.png ; $\phi ^ { * } ( m ^ { * } ( l ) ) = m ^ { * } ( \phi ( l ) )$ ; confidence 0.994
  
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/c/c025/c025930/c02593073.png ; $\phi ( G )$ ; confidence 0.994
  
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/d/d120/d120180/d12018083.png ; $A ( G )$ ; confidence 0.994
  
287. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i130030178.png ; $$h ( [ a ] )$$ ; confidence 0.265
+
287. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040159.png ; $f ^ { * } : J ( H ) \rightarrow J ( C )$ ; confidence 0.994
  
288. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i130030142.png ; $$\pi$$ ; confidence 0.507
+
288. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007094.png ; $\sigma ^ { 0 } ( p ^ { \alpha } ) = 0$ ; confidence 0.994
  
289. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i13003026.png ; $$[ T ^ { * } M ]$$ ; confidence 0.990
+
289. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a011300119.png ; $\Delta ( 0 )$ ; confidence 0.994
  
290. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050720/i05072015.png ; $$\eta : Y \rightarrow B$$ ; confidence 0.984
+
290. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029030.png ; $A , A ^ { \prime }$ ; confidence 0.994
  
291. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050730/i050730155.png ; $$\nu _ { S }$$ ; confidence 0.758
+
291. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013045.png ; $( X _ { n } )$ ; confidence 0.994
  
292. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050730/i05073063.png ; $$K \subset H$$ ; confidence 0.959
+
292. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r07764012.png ; $\sum _ { i = 1 } ^ { n } k _ { i } ^ { - 1 } > 1$ ; confidence 0.994
  
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/a/a010/a010460/a01046027.png ; $| \xi | < \rho ( x , h )$ ; confidence 0.994
  
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/a/a110/a110350/a1103501.png ; $e ^ { x + y } = e ^ { x } e ^ { y }$ ; confidence 0.994
  
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/a/a110/a110150/a1101502.png ; $F ( t | S ) = 1 - \operatorname { exp } [ - \frac { t } { \tau ( S ) } ] , \quad t \geq 0$ ; confidence 0.994
  
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/e/e036/e036960/e03696035.png ; $( \alpha _ { i } ) _ { i \in I }$ ; confidence 0.994
  
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/a/a011/a011490/a01149028.png ; $D ( x )$ ; confidence 0.994
  
298. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050850/i05085011.png ; $$1 ^ { \circ }$$ ; confidence 0.592
+
298. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110070/k11007015.png ; $L _ { \chi } ( U ) =$ ; confidence 0.994
  
299. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050910/i05091079.png ; $$Y _ { n k }$$ ; confidence 0.813
+
299. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559062.png ; $L : z = \phi ( t )$ ; confidence 0.994
  
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/s/s085/s085590/s08559053.png ; $z = \phi _ { 2 } ( \tau ^ { \prime \prime } )$ ; confidence 0.994

Latest revision as of 09:58, 17 October 2019

List

1. d034120257.png ; $| z | < \sigma$ ; confidence 0.996

2. w120090449.png ; $G ( m , 1 , n )$ ; confidence 0.996

3. d034120301.png ; $\Lambda ( f )$ ; confidence 0.996

4. r08103072.png ; $\Phi _ { k } ( S , G )$ ; confidence 0.996

5. a11032016.png ; $R _ { 0 } ^ { ( i ) } ( z )$ ; confidence 0.996

6. a110010173.png ; $A ^ { + }$ ; confidence 0.996

7. a01121094.png ; $q = - z$ ; confidence 0.996

8. a011370138.png ; $R ( X )$ ; confidence 0.996

9. a01081039.png ; $x ( t )$ ; confidence 0.996

10. a01018045.png ; $g ( s )$ ; confidence 0.996

11. w120090364.png ; $\Lambda ( V ) \neq \Lambda$ ; confidence 0.996

12. a011600158.png ; $H _ { 1 } = L _ { 1 }$ ; confidence 0.996

13. a01081026.png ; $m ( \leq n )$ ; confidence 0.996

14. r0776403.png ; $\pi : Y \rightarrow X$ ; confidence 0.996

15. a11004029.png ; $d = \sqrt { \operatorname { deg } \phi _ { L } }$ ; confidence 0.996

16. a0109302.png ; $10 ^ { 8 }$ ; confidence 0.996

17. c02333043.png ; $k [ Y ] \rightarrow k [ X ]$ ; confidence 0.996

18. a11040091.png ; $t \mapsto T ^ { * } ( t ) x ^ { * }$ ; confidence 0.996

19. a12031052.png ; $B ( K ) / M ( K )$ ; confidence 0.996

20. a11035015.png ; $\phi _ { \lambda } ( \Lambda ( x , y , t ) )$ ; confidence 0.996

21. t12001056.png ; $F _ { 3 }$ ; confidence 0.996

22. t120010116.png ; $\operatorname { dim } ( O ) = 4$ ; confidence 0.996

23. t12001079.png ; $F _ { \tau } \subset F _ { 3 } \subset S$ ; confidence 0.996

24. t120010107.png ; $n \geq 0$ ; confidence 0.996

25. a110420112.png ; $f : G \rightarrow R$ ; confidence 0.996

26. a13013027.png ; $\phi = \phi _ { - } \phi _ { + }$ ; confidence 0.996

27. a13013024.png ; $g ( z )$ ; confidence 0.996

28. a13007080.png ; $\sigma ( n ) > \sigma ( m )$ ; confidence 0.996

29. a01300016.png ; $\operatorname { deg } P \leq n$ ; confidence 0.996

30. a01398016.png ; $f ( \lambda ) = ( \frac { \sigma ^ { 2 } } { 2 \pi } ) | \phi ( e ^ { i \lambda } ) | ^ { - 2 }$ ; confidence 0.996

31. b110130197.png ; $f ( \zeta ) > 0$ ; confidence 0.996

32. b017330260.png ; $N ^ { * } ( \Omega )$ ; confidence 0.996

33. b01747069.png ; $P _ { 1 / 2 }$ ; confidence 0.996

34. c12004038.png ; $\rho \in C ^ { 2 } ( \overline { \Omega } )$ ; confidence 0.996

35. c02152013.png ; $V ( \Lambda ^ { \prime } ) \otimes V ( \Lambda ^ { \prime \prime } )$ ; confidence 0.996

36. c022660241.png ; $C = C ( f )$ ; confidence 0.996

37. c025140162.png ; $X \in V ( B )$ ; confidence 0.996

38. d03185094.png ; $( \operatorname { arccos } x ) ^ { \prime } = - 1 / \sqrt { 1 - x ^ { 2 } }$ ; confidence 0.996

39. d03318044.png ; $e ( B / A ) f ( B / A ) = n$ ; confidence 0.996

40. d12023095.png ; $R - F R F ^ { * } = G J G ^ { * }$ ; confidence 0.996

41. d034120272.png ; $A _ { 0 } ( G )$ ; confidence 0.996

42. e03525048.png ; $0 < \sigma < 0.5$ ; confidence 0.996

43. f03806015.png ; $V$ ; confidence 0.996

44. f13010077.png ; $\lambda ^ { p } ( M ^ { 1 } ( G ) )$ ; confidence 0.996

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

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

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

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

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

50. i05250023.png ; $O _ { X } ( 1 ) = O ( 1 )$ ; confidence 0.996

51. i052800127.png ; $E ^ { 2 k + 1 }$ ; confidence 0.996

52. k05503063.png ; $T ( X )$ ; confidence 0.996

53. l05971012.png ; $f \in H _ { p } ^ { \alpha }$ ; confidence 0.996

54. m06233049.png ; $M _ { \psi } ^ { 0 }$ ; confidence 0.996

55. m06261017.png ; $\operatorname { lim } _ { \Delta x \rightarrow 0 } \Delta y = \operatorname { lim } _ { \Delta x \rightarrow 0 } [ f ( x + \Delta x ) - f ( x ) ] = 0$ ; confidence 0.996

56. m063240678.png ; $E = E ^ { \prime }$ ; confidence 0.996

57. m06337017.png ; $t = t _ { 0 } > 0$ ; confidence 0.996

58. m06380058.png ; $\partial W _ { 1 } = M$ ; confidence 0.996

59. m06470068.png ; $\partial V _ { t }$ ; confidence 0.996

60. n06663062.png ; $0 < r - s < k$ ; confidence 0.996

61. p0740707.png ; $\xi : F \rightarrow A$ ; confidence 0.996

62. q07663014.png ; $\omega _ { 1 } / \omega _ { 2 }$ ; confidence 0.996

63. q07667033.png ; $R [ x ]$ ; confidence 0.996

64. r07764046.png ; $D _ { n - 2 }$ ; confidence 0.996

65. r13007076.png ; $\| f \| = 0$ ; confidence 0.996

66. r130080102.png ; $\Lambda ^ { 2 } : = \sum _ { j = 1 } ^ { \infty } \lambda _ { j } < \infty$ ; confidence 0.996

67. s086720109.png ; $K ( d s ) = K$ ; confidence 0.996

68. s09013024.png ; $H \mapsto \alpha ( H )$ ; confidence 0.996

69. u09540011.png ; $( g - 1 ) ^ { n } = 0$ ; confidence 0.996

70. u09582023.png ; $v ( x ) \geq f ( x )$ ; confidence 0.996

71. v09638081.png ; $u ^ { * } ( \pi )$ ; confidence 0.996

72. v096380128.png ; $w : \xi \oplus \zeta \rightarrow \pi$ ; confidence 0.996

73. v0967406.png ; $v _ { \nu } ( t _ { 0 } ) = 0$ ; confidence 0.996

74. v096900124.png ; $P _ { 1 } \in A$ ; confidence 0.996

75. w13008076.png ; $N = 2$ ; confidence 0.996

76. y12001017.png ; $R _ { 12 } R _ { 13 } R _ { 23 } = R _ { 23 } R _ { 13 } R _ { 12 }$ ; confidence 0.996

77. a01018047.png ; $\zeta ( s )$ ; confidence 0.996

78. a01130088.png ; $( \Delta _ { i } )$ ; confidence 0.996

79. e03696061.png ; $\delta \in \Delta$ ; confidence 0.996

80. c020280211.png ; $| f ( z ) | \leq 1$ ; confidence 0.996

81. h0479705.png ; $\delta : A \rightarrow A \otimes A$ ; confidence 0.996

82. a12006025.png ; $X = [ L ^ { 2 } ( \Omega ) ] ^ { p }$ ; confidence 0.996

83. a12005035.png ; $\theta _ { 0 } \in ( \pi / 2 , \pi )$ ; confidence 0.996

84. h047410105.png ; $G ( K / k )$ ; confidence 0.996

85. a011300142.png ; $L _ { \mu } \subset P _ { \mu }$ ; confidence 0.996

86. a011450257.png ; $g \geq 40$ ; confidence 0.996

87. c020540286.png ; $p - 1$ ; confidence 0.996

88. a01046069.png ; $P ( x )$ ; confidence 0.996

89. a01060030.png ; $p = + \infty$ ; confidence 0.996

90. l058590151.png ; $G / R ( G )$ ; confidence 0.996

91. a13008025.png ; $f ( L ) = \alpha g ( L ; m , s ) , f ( R ) = \alpha g ( R ; m , s )$ ; confidence 0.996

92. a0103303.png ; $r > 0$ ; confidence 0.996

93. l05852072.png ; $[ s , n ] = 0$ ; confidence 0.996

94. s08559086.png ; $( b , \{ M \} )$ ; confidence 0.996

95. a1103606.png ; $G \subset 2 ^ { H }$ ; confidence 0.996

96. d033340242.png ; $z = z ( u , v )$ ; confidence 0.996

97. a01082078.png ; $H ^ { A } ( Y ) = H ( A , Y )$ ; confidence 0.996

98. a12031058.png ; $C ( S )$ ; confidence 0.996

99. a011450255.png ; $g \geq 25$ ; confidence 0.996

100. a11017049.png ; $Q s = \rho U ^ { 2 } s$ ; confidence 0.996

101. d034120250.png ; $k ( \phi )$ ; confidence 0.996

102. a011450150.png ; $+ 1$ ; confidence 0.996

103. l05859095.png ; $L ( G _ { 1 } ) \rightarrow L ( G _ { 2 } )$ ; confidence 0.996

104. q0763106.png ; $\Delta : A \rightarrow A \otimes A$ ; confidence 0.996

105. d030700260.png ; $k ( ( t ) )$ ; confidence 0.996

106. d034120242.png ; $H ^ { p } ( X , F ) = H ^ { p + 1 } ( X , F ) = 0$ ; confidence 0.996

107. g13006096.png ; $1 \leq i , j \leq n$ ; confidence 0.996

108. q076310155.png ; $U ( g )$ ; confidence 0.996

109. a01024083.png ; $\int _ { L } \omega = 0$ ; confidence 0.996

110. s085590463.png ; $f ( x , y ) = x ^ { m - 1 } - x y ^ { 2 } = x ( x ^ { m - 2 } - y ^ { 2 } )$ ; confidence 0.996

111. a011380169.png ; $i \neq j$ ; confidence 0.996

112. l05872073.png ; $\Lambda _ { p } ( x , y ) = 0$ ; confidence 0.996

113. a13008098.png ; $k = 2$ ; confidence 0.996

114. a130240338.png ; $N ( 0 , \Sigma _ { 1 } )$ ; confidence 0.996

115. k1200302.png ; $\operatorname { Ric } ( \omega ) = \lambda \omega$ ; confidence 0.996

116. a130240495.png ; $m = 2$ ; confidence 0.996

117. a01076010.png ; $I ( t ) - I ( 0 )$ ; confidence 0.996

118. a014170135.png ; $D ( G )$ ; confidence 0.996

119. c02347021.png ; $( P \times C ) / Z$ ; confidence 0.996

120. f040820177.png ; $[ n ] ( X ) = F ( X , [ n - 1 ] ( X ) )$ ; confidence 0.996

121. a13012029.png ; $A _ { \mu } ( s )$ ; confidence 0.996

122. a011450132.png ; $\phi _ { 3 K } ( Y )$ ; confidence 0.996

123. a01382017.png ; $\theta \in \Theta$ ; confidence 0.996

124. h04797022.png ; $\epsilon ^ { * } : K \rightarrow A ^ { * }$ ; confidence 0.996

125. b01511048.png ; $\Gamma = \partial D$ ; confidence 0.996

126. a01082080.png ; $( A , Y )$ ; confidence 0.996

127. a12012061.png ; $( x ^ { * } , y ^ { * } ) \in J$ ; confidence 0.996

128. l0584006.png ; $\operatorname { exp } : \mathfrak { g } \rightarrow G$ ; confidence 0.996

129. a01139016.png ; $L _ { 1 } ( G ) \rightarrow M ( G )$ ; confidence 0.996

130. a01033011.png ; $p ( x )$ ; confidence 0.996

131. a01068042.png ; $\theta _ { 1 } < 1$ ; confidence 0.996

132. n066900115.png ; $( m , \phi ) \sim ( m ^ { \prime } , \phi ^ { \prime } )$ ; confidence 0.996

133. a01055040.png ; $G = R$ ; confidence 0.996

134. c02433072.png ; $A \rightarrow B$ ; confidence 0.996

135. a13006087.png ; $\partial ( \overline { H } ) =$ ; confidence 0.995

136. a011450131.png ; $\phi _ { 3 K } ( X )$ ; confidence 0.995

137. a11022033.png ; $B \in B ( R ^ { n } )$ ; confidence 0.995

138. a011640131.png ; $( V , \alpha )$ ; confidence 0.995

139. a12008045.png ; $D ( A ) \times V$ ; confidence 0.995

140. a12003016.png ; $f ( x ) = \int _ { 0 } ^ { \infty } e ^ { x t } d \mu ( t )$ ; confidence 0.995

141. a12018033.png ; $i = 0,1,2$ ; confidence 0.995

142. a110010172.png ; $\| ( A + \delta A ) ^ { + } \| _ { 2 } > \frac { 1 } { \| \delta A \| _ { 2 } }$ ; confidence 0.995

143. d031830334.png ; $\Sigma \backslash \{ F \}$ ; confidence 0.995

144. a010210128.png ; $( f )$ ; confidence 0.995

145. s13054019.png ; $x y x ^ { - 1 } y ^ { - 1 }$ ; confidence 0.995

146. a11010080.png ; $\int w g d \mu = g ( x )$ ; confidence 0.995

147. a130050191.png ; $\partial ( A ) = \operatorname { log } _ { p } \operatorname { card } ( A )$ ; confidence 0.995

148. r08103045.png ; $\alpha \in \Phi _ { k } ( S , G )$ ; confidence 0.995

149. a11035021.png ; $\psi _ { 0 } ( t ) = 1$ ; confidence 0.995

150. a01024051.png ; $L ^ { * } \subset F ^ { * }$ ; confidence 0.995

151. a12006081.png ; $( t , u ) \in [ 0 , T ] \times W$ ; confidence 0.995

152. a011490146.png ; $y = \frac { t ^ { 2 } + 1 } { t ^ { 2 } - 1 } , \quad x = \frac { 2 t } { t ^ { 2 } - 1 }$ ; confidence 0.995

153. a01150072.png ; $f : P ^ { 2 } \rightarrow X$ ; confidence 0.995

154. b13029059.png ; $1 \leq i \leq d$ ; confidence 0.995

155. a010210111.png ; $( \omega )$ ; confidence 0.995

156. a11004041.png ; $( k )$ ; confidence 0.995

157. a110040190.png ; $p ( D _ { i } )$ ; confidence 0.995

158. f040820150.png ; $\gamma _ { 0 } ( T )$ ; confidence 0.995

159. a01121085.png ; $\lambda \rightarrow + \infty$ ; confidence 0.995

160. d034120388.png ; $f ^ { * } ( z )$ ; confidence 0.995

161. a0140703.png ; $1$ ; confidence 0.995

162. a01068019.png ; $r ( n ) \neq 0$ ; confidence 0.995

163. a12010080.png ; $J _ { \lambda } = ( I + \lambda A ) ^ { - 1 }$ ; confidence 0.995

164. l05872069.png ; $Z ( L )$ ; confidence 0.995

165. b01556096.png ; $F , G$ ; confidence 0.995

166. u09524060.png ; $\{ \alpha t + \beta \}$ ; confidence 0.995

167. s085590282.png ; $f ( z ) = z _ { 1 } / z _ { 2 }$ ; confidence 0.995

168. a12016045.png ; $A ( t ) = [ f ( u ( t ) ) + \beta ( X ( t ) - X ( t - \tau ) ) ] [ N _ { 0 } - A ( t ) ]$ ; confidence 0.995

169. a01084027.png ; $L \rightarrow L ^ { * }$ ; confidence 0.995

170. a01018051.png ; $\alpha = 0$ ; confidence 0.995

171. w09771076.png ; $W = N / T$ ; confidence 0.995

172. a11050074.png ; $K = Q$ ; confidence 0.995

173. a12011027.png ; $T ( i , n ) = T ( i - 1 , T ( i , n - 1 ) ) \text { for } i \geq 1 , n \geq 2$ ; confidence 0.995

174. a11010049.png ; $( T _ { \alpha } ) _ { \alpha \in A }$ ; confidence 0.995

175. a11016051.png ; $p _ { k } = r _ { k } + \beta _ { k } p _ { k - 1 }$ ; confidence 0.995

176. a110010125.png ; $A ^ { + } A A ^ { + } = A ^ { + }$ ; confidence 0.995

177. a012460117.png ; $\lambda _ { 1 } , \lambda _ { 2 }$ ; confidence 0.995

178. a011640157.png ; $p _ { 2 } > 1$ ; confidence 0.995

179. t120010128.png ; $b _ { 2 } \neq b _ { 4 }$ ; confidence 0.995

180. a130240142.png ; $m \times 1$ ; confidence 0.995

181. a130040442.png ; $h ^ { - 1 } ( F _ { 0 } )$ ; confidence 0.995

182. a11016027.png ; $A = L + D + U$ ; confidence 0.995

183. a12016064.png ; $\lambda < 1$ ; confidence 0.995

184. a01152034.png ; $\tau : G \times V \rightarrow V$ ; confidence 0.995

185. a011650288.png ; $m = \nu ( P )$ ; confidence 0.995

186. b110100392.png ; $T _ { K } ( K )$ ; confidence 0.995

187. c11006048.png ; $0 \leq j < k$ ; confidence 0.995

188. c02338015.png ; $\phi \in \Phi$ ; confidence 0.995

189. c023550172.png ; $\overline { f } : \mu X \rightarrow \mu Y$ ; confidence 0.995

190. c0244507.png ; $U ( A ) \subset Y$ ; confidence 0.995

191. c024780245.png ; $\operatorname { arg } z = c$ ; confidence 0.995

192. c02479065.png ; $f ( \zeta )$ ; confidence 0.995

193. c02565066.png ; $D \subset R$ ; confidence 0.995

194. c12030087.png ; $T _ { 1 } ( H )$ ; confidence 0.995

195. d0311001.png ; $\zeta ( s ) = \sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { s } }$ ; confidence 0.995

196. d031380332.png ; $E = N$ ; confidence 0.995

197. f04069050.png ; $\Omega \in ( H ^ { \otimes 0 } ) _ { \alpha } \subset \Gamma ^ { \alpha } ( H )$ ; confidence 0.995

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

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

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

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

202. i0522303.png ; $x \leq z \leq y$ ; confidence 0.995

203. i05273034.png ; $p : G \rightarrow G$ ; confidence 0.995

204. j054050155.png ; $e _ { 1 } = ( 2 - k ^ { 2 } ) / 3$ ; confidence 0.995

205. j13004062.png ; $\operatorname { cr } ( K )$ ; confidence 0.995

206. k12008015.png ; $K _ { p } ( f ) ( p _ { i } ) = f ( p _ { i } )$ ; confidence 0.995

207. l05848075.png ; $L ( H )$ ; confidence 0.995

208. l05917055.png ; $\Gamma _ { 0 } ( . )$ ; confidence 0.995

209. l05935079.png ; $W ( t ) \neq 0$ ; confidence 0.995

210. m063240572.png ; $\Lambda ( f ) \geq 0$ ; confidence 0.995

211. m06346056.png ; $D ( z ) \neq 0$ ; confidence 0.995

212. n06641023.png ; $\overline { \partial } f = \phi$ ; confidence 0.995

213. p072850146.png ; $H _ { k } ( M ^ { n } )$ ; confidence 0.995

214. p07536031.png ; $\operatorname { Proj } ( R )$ ; confidence 0.995

215. p075660113.png ; $| \xi | \leq 1 / 2$ ; confidence 0.995

216. r082160294.png ; $\gamma _ { \xi } ( t )$ ; confidence 0.995

217. s08559028.png ; $L _ { 2 } : z = \phi _ { 2 } ( t )$ ; confidence 0.995

218. s08780044.png ; $| u ( x _ { 1 } ) - u ( x _ { 2 } ) | \leq C | x _ { 1 } - x _ { 2 }$ ; confidence 0.995

219. t092810205.png ; $\beta ( M )$ ; confidence 0.995

220. t093180434.png ; $D ( R ^ { n + k } )$ ; confidence 0.995

221. w09760044.png ; $H ^ { i } ( X )$ ; confidence 0.995

222. t0929001.png ; $( \Delta , A )$ ; confidence 0.995

223. a01082053.png ; $F ( X )$ ; confidence 0.995

224. a01145093.png ; $l ( D ) = \operatorname { deg } ( D ) - g + 1$ ; confidence 0.995

225. m064510130.png ; $g \geq 24$ ; confidence 0.995

226. d034120460.png ; $A \subset F ^ { \prime }$ ; confidence 0.995

227. a120070125.png ; $( t , v )$ ; confidence 0.995

228. d03070091.png ; $D ( S )$ ; confidence 0.995

229. s08708085.png ; $I ( T , \aleph _ { \alpha } )$ ; confidence 0.995

230. a01018057.png ; $B _ { j } , s _ { j } , \alpha _ { j }$ ; confidence 0.995

231. a01068027.png ; $g ( A ) , G ( A ) , G _ { 0 } ( A )$ ; confidence 0.995

232. a011600105.png ; $k ( \theta )$ ; confidence 0.995

233. a01149033.png ; $F ( x , y ) = 0 , \quad \frac { \partial F ( x , y ) } { \partial y } = 0$ ; confidence 0.995

234. a12007050.png ; $f \in L ^ { \infty } ( 0 , T ; X )$ ; confidence 0.995

235. s085590493.png ; $X , Y : G \rightarrow R$ ; confidence 0.995

236. a010290101.png ; $( A B C D )$ ; confidence 0.995

237. a110010271.png ; $A X + X B = C$ ; confidence 0.995

238. a01160022.png ; $x ^ { 2 } - D y ^ { 2 } = 1$ ; confidence 0.995

239. a12006061.png ; $L ( X )$ ; confidence 0.995

240. a12020017.png ; $p ( t ) \in F [ t ]$ ; confidence 0.995

241. a12012054.png ; $y _ { j } ^ { j } > 0$ ; confidence 0.995

242. a11010050.png ; $T _ { \alpha } ( g ) \rightarrow g$ ; confidence 0.995

243. a110040121.png ; $( A , \lambda = [ L ] )$ ; confidence 0.995

244. a01082060.png ; $\alpha = G ( \alpha ^ { \prime } ) \epsilon$ ; confidence 0.995

245. a12020072.png ; $\operatorname { dim } X < + \infty$ ; confidence 0.995

246. s085590632.png ; $( F _ { y } ^ { \prime } ) _ { 0 } = 0$ ; confidence 0.995

247. a01137039.png ; $p ^ { \prime } ( f ) \in \epsilon ( A )$ ; confidence 0.995

248. a110040117.png ; $B = E _ { 1 } \times E _ { 2 }$ ; confidence 0.995

249. a01093031.png ; $\phi = \psi - y$ ; confidence 0.995

250. l05848067.png ; $[ X , Y ] = X Y - Y X$ ; confidence 0.995

251. a01138011.png ; $( ( x \& y ) \rightarrow z )$ ; confidence 0.995

252. a1302409.png ; $( n \times 1 )$ ; confidence 0.995

253. a11022077.png ; $L ( \phi ) ( \omega ) = \int _ { 0 } ^ { \infty } \phi ( t ) d w _ { t }$ ; confidence 0.995

254. a01081081.png ; $m - n + k$ ; confidence 0.995

255. a130040762.png ; $\Sigma ( P , R ^ { \prime } )$ ; confidence 0.995

256. a01137043.png ; $( f ) \in A$ ; confidence 0.995

257. l05868040.png ; $\Gamma _ { 1 } / \Gamma ( G )$ ; confidence 0.995

258. a130070136.png ; $2 - 10 ^ { - 12 } < \sigma ( n ) / n < 2 + 10 ^ { - 12 }$ ; confidence 0.995

259. a13006031.png ; $P _ { K } ( n )$ ; confidence 0.995

260. a12007049.png ; $B ( D _ { A } ( \alpha , \infty ) )$ ; confidence 0.995

261. d030700264.png ; $\phi _ { i } \in A ( V )$ ; confidence 0.995

262. a011600170.png ; $( \operatorname { mod } f )$ ; confidence 0.995

263. s08559031.png ; $\phi _ { 2 } ( 0 ) = \zeta$ ; confidence 0.994

264. s08559011.png ; $L : [ 0,1 ] \rightarrow \overline { C }$ ; confidence 0.994

265. d034120243.png ; $H ^ { p } ( Y , F )$ ; confidence 0.994

266. a11010083.png ; $K ( M ) = C _ { W } ( X )$ ; confidence 0.994

267. b1200602.png ; $\epsilon = 1$ ; confidence 0.994

268. c02502011.png ; $f : X \rightarrow \overline { R }$ ; confidence 0.994

269. b130200142.png ; $i \neq 0$ ; confidence 0.994

270. a1300805.png ; $h ( x )$ ; confidence 0.994

271. a01121065.png ; $q ( x )$ ; confidence 0.994

272. a12012017.png ; $m = n$ ; confidence 0.994

273. a0119703.png ; $\phi ( x )$ ; confidence 0.994

274. a130040347.png ; $K ( x ) \approx L ( x )$ ; confidence 0.994

275. a01150018.png ; $\Delta ( \theta ) = \sqrt { ( 1 - c ^ { 2 } \lambda ^ { 2 } ) ( 1 - e ^ { 2 } \lambda ^ { 2 } ) }$ ; confidence 0.994

276. a01146055.png ; $Z , Z ^ { \prime } \in C ^ { 1 } ( X )$ ; confidence 0.994

277. b01733083.png ; $f _ { 2 } ( z )$ ; confidence 0.994

278. a12005044.png ; $B > 0$ ; confidence 0.994

279. a11022061.png ; $B \in B ( R ^ { j } )$ ; confidence 0.994

280. a11001045.png ; $\epsilon = 5.10 ^ { - t }$ ; confidence 0.994

281. a120050122.png ; $\frac { d u ( t ) } { d t } + A ( t , u ( t ) ) u ( t ) = f ( t , u ( t ) )$ ; confidence 0.994

282. a01029091.png ; $( X , \delta )$ ; confidence 0.994

283. i0530605.png ; $K , A , N$ ; confidence 0.994

284. a01084026.png ; $\phi ^ { * } ( m ^ { * } ( l ) ) = m ^ { * } ( \phi ( l ) )$ ; confidence 0.994

285. c02593073.png ; $\phi ( G )$ ; confidence 0.994

286. d12018083.png ; $A ( G )$ ; confidence 0.994

287. a110040159.png ; $f ^ { * } : J ( H ) \rightarrow J ( C )$ ; confidence 0.994

288. a13007094.png ; $\sigma ^ { 0 } ( p ^ { \alpha } ) = 0$ ; confidence 0.994

289. a011300119.png ; $\Delta ( 0 )$ ; confidence 0.994

290. a01029030.png ; $A , A ^ { \prime }$ ; confidence 0.994

291. a12013045.png ; $( X _ { n } )$ ; confidence 0.994

292. r07764012.png ; $\sum _ { i = 1 } ^ { n } k _ { i } ^ { - 1 } > 1$ ; confidence 0.994

293. a01046027.png ; $| \xi | < \rho ( x , h )$ ; confidence 0.994

294. a1103501.png ; $e ^ { x + y } = e ^ { x } e ^ { y }$ ; confidence 0.994

295. a1101502.png ; $F ( t | S ) = 1 - \operatorname { exp } [ - \frac { t } { \tau ( S ) } ] , \quad t \geq 0$ ; confidence 0.994

296. e03696035.png ; $( \alpha _ { i } ) _ { i \in I }$ ; confidence 0.994

297. a01149028.png ; $D ( x )$ ; confidence 0.994

298. k11007015.png ; $L _ { \chi } ( U ) =$ ; confidence 0.994

299. s08559062.png ; $L : z = \phi ( t )$ ; confidence 0.994

300. s08559053.png ; $z = \phi _ { 2 } ( \tau ^ { \prime \prime } )$ ; confidence 0.994

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