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(AUTOMATIC EDIT of page 9 out of 19 with 300 lines: Updated image/latex database (currently 5483 images latexified; order by Confidence, ascending: False.)
(AUTOMATIC EDIT of page 9 out of 35 with 300 lines: Updated image/latex database (currently 10225 images latexified; order by Confidence, ascending: False.)
 
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== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090170/s09017045.png ; $E$ ; confidence 0.923
+
1. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a011460115.png ; $n \leq 2$ ; confidence 0.987
  
2. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150395.png ; $A \wedge B$ ; confidence 0.923
+
2. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058480/l05848094.png ; $Y \mapsto X Y$ ; confidence 0.987
  
3. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012056.png ; $f ^ { \langle n _ { k } \rangle } ( \lambda _ { k } ) = 0$ ; confidence 0.923
+
3. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081030/r08103026.png ; $W _ { k } ( S , G )$ ; confidence 0.987
  
4. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012071.png ; $f ^ { \langle \nu _ { k } \rangle } ( 1 ) = 0$ ; confidence 0.923
+
4. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110400/a11040020.png ; $X ^ { \odot } = \{ x ^ { * } \in X ^ { * }$ ; confidence 0.987
  
5. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001053.png ; $A = \left( \begin{array} { c c } { 10 ^ { 5 } } & { 0 } \\ { 0 } & { 10 ^ { - 5 } } \end{array} \right)$ ; confidence 0.923
+
5. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010147.png ; $T ^ { 2 } \times \operatorname { Sp } ( 1 )$ ; confidence 0.987
  
6. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010680/a01068048.png ; $Q ( n )$ ; confidence 0.923
+
6. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420107.png ; $\tau : A \rightarrow C$ ; confidence 0.987
  
7. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050157.png ; $c > 1$ ; confidence 0.923
+
7. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240431.png ; $a ^ { \prime } \Theta$ ; confidence 0.987
  
8. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a130080109.png ; $U \geq f ( X ) / h ( X )$ ; confidence 0.922
+
8. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010138.png ; $\sigma _ { i } ( A ) - \sigma _ { 1 } ( \delta A ) \leq \sigma _ { i } ( A + \delta A ) \leq \sigma _ { i } ( A ) + \sigma _ { i } ( \delta A )$ ; confidence 0.987
  
9. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110420/b11042025.png ; $V _ { k } \varphi ( x ) = \varphi ( x - h )$ ; confidence 0.922
+
9. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a1101003.png ; $V$ ; confidence 0.987
  
10. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780128.png ; $\Omega _ { fr } ^ { - i } = \Omega _ { i } ^ { fr } = \pi _ { i + N } ( S ^ { N } )$ ; confidence 0.922
+
10. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081069.png ; $U _ { j } ^ { * } ( \xi )$ ; confidence 0.987
  
11. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110160/f110160161.png ; $\mathfrak { A } \sim _ { l } \mathfrak { B }$ ; confidence 0.922
+
11. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011520/a01152036.png ; $V ^ { 1 }$ ; confidence 0.987
  
12. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a1100101.png ; $f ( \alpha , x ) = 0$ ; confidence 0.922
+
12. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110380/b11038019.png ; $w = \pi ( z )$ ; confidence 0.987
  
13. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240484.png ; $\beta _ { i 0 } + \beta _ { i 1 } t + \ldots + \beta _ { i k } t ^ { k }$ ; confidence 0.922
+
13. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110420/b11042087.png ; $\overline { B } ^ { \nu }$ ; confidence 0.987
  
14. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040235.png ; $i \in I$ ; confidence 0.922
+
14. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110640/b11064038.png ; $X _ { 1 } \times X _ { 2 }$ ; confidence 0.987
  
15. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007075.png ; $n ^ { \prime } / n \leq 1 + 1 / \sqrt { \operatorname { log } n }$ ; confidence 0.921
+
15. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780545.png ; $B P \square ^ { * } ( B P )$ ; confidence 0.987
  
16. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120110/a12011017.png ; $A ( i , 0 ) = A ( i - 1,1 ) \text { for } i \geq 1 , A ( i , n ) = A ( i - 1 , A ( i , n - 1 ) ) \text { for } i \geq 1 , n$ ; confidence 0.921
+
16. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120300/c12030042.png ; $u : H \rightarrow H ^ { \prime }$ ; confidence 0.987
  
17. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110610/a110610104.png ; $Z = \int _ { A } D A \sqrt { \operatorname { det } ( / \partial _ { A } ^ { * } / \partial _ { A } ) } \operatorname { exp } [ - \| F \| ^ { 2 } ]$ ; confidence 0.921
+
17. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130090/d13009051.png ; $u > 1$ ; confidence 0.987
  
18. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034280/d03428088.png ; $S _ { g } ( w _ { 0 } )$ ; confidence 0.921
+
18. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120060/e12006038.png ; $Y \rightarrow J ^ { 1 } Y$ ; confidence 0.987
  
19. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051360/i0513609.png ; $\int f _ { 1 } ( x ) d x \quad \text { and } \quad \int f _ { 2 } ( x ) d x$ ; confidence 0.921
+
19. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037170/e03717072.png ; $r < | z | < 1$ ; confidence 0.987
  
20. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110160/l11016049.png ; $n ^ { O ( n ) } M ^ { O ( 1 ) }$ ; confidence 0.921
+
20. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040960/f04096055.png ; $x ^ { i } \in R$ ; confidence 0.987
  
21. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005068.png ; $A u \in C ( [ 0 , T ] ; X )$ ; confidence 0.921
+
21. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003082.png ; $\Gamma \subset \Omega$ ; confidence 0.987
  
22. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040219.png ; $\varphi _ { L } : A \hookrightarrow P ^ { 7 }$ ; confidence 0.920
+
22. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130090/h13009035.png ; $g \rightarrow g$ ; confidence 0.987
  
23. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032034.png ; $n _ { S } < n$ ; confidence 0.920
+
23. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058140/l05814017.png ; $v = v ( t )$ ; confidence 0.987
  
24. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010124.png ; $b _ { 2 } i + 1 ( S ) = 0$ ; confidence 0.920
+
24. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063910/m06391025.png ; $\{ p _ { \theta } ( \omega ) = \frac { d p } { d \mu } ( \omega ) : \theta \in \Theta \}$ ; confidence 0.987
  
25. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017290/b0172908.png ; $\Gamma \subset M _ { A }$ ; confidence 0.920
+
25. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068210/o06821028.png ; $X = \sum _ { i } X ^ { i } \partial / \partial x ^ { i }$ ; confidence 0.987
  
26. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035760/e0357604.png ; $f : W \rightarrow R$ ; confidence 0.920
+
26. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072930/p072930108.png ; $u \in C ^ { 2 } ( D )$ ; confidence 0.987
  
27. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110150/p1101505.png ; $x \preceq y \Rightarrow z x t \preceq x y t$ ; confidence 0.920
+
27. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110020/r11002077.png ; $T w | K v$ ; confidence 0.987
  
28. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040575.png ; $S 5 ^ { S }$ ; confidence 0.919
+
28. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080190/r08019033.png ; $U$ ; confidence 0.987
  
29. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040728.png ; $P \subseteq P ^ { \prime }$ ; confidence 0.919
+
29. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130020/s13002040.png ; $g _ { t } ( u )$ ; confidence 0.987
  
30. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031250/d03125086.png ; $\Omega _ { X / Y } ^ { 1 }$ ; confidence 0.919
+
30. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092650/t09265044.png ; $c < 2$ ; confidence 0.987
  
31. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036840/e03684025.png ; $A = \operatorname { lim } _ { n \rightarrow \infty } C _ { n } = ( 1 + \frac { 1 } { 4 } + \frac { 1 } { 16 } + \ldots ) C _ { 1 } = \frac { 4 } { 3 } C _ { 1 }$ ; confidence 0.919
+
31. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095410/u09541013.png ; $U _ { n } ( K )$ ; confidence 0.987
  
32. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057150/l05715028.png ; $3 N + k + m$ ; confidence 0.919
+
32. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130070/v1300709.png ; $\vec { V }$ ; confidence 0.987
  
33. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110120/p110120428.png ; $P _ { n } ( f )$ ; confidence 0.919
+
33. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054270/j05427035.png ; $H ( F _ { n } , J _ { 1 } )$ ; confidence 0.987
  
34. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006058.png ; $N \geq Z$ ; confidence 0.919
+
34. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a0101807.png ; $| z - b | \leq \rho$ ; confidence 0.987
  
35. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010131.png ; $\epsilon A _ { 1 }$ ; confidence 0.919
+
35. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050210.png ; $G _ { K }$ ; confidence 0.987
  
36. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005095.png ; $S A ( t ) S ^ { - 1 } = A ( t ) + B ( t ) , \quad t \in [ 0 , T ]$ ; confidence 0.919
+
36. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023470/c02347047.png ; $m _ { i j } ^ { \alpha } ( g )$ ; confidence 0.987
  
37. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016066.png ; $C _ { m }$ ; confidence 0.919
+
37. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074720/p07472075.png ; $( x y ) ^ { \gamma } = x ^ { \gamma } y ^ { \gamma }$ ; confidence 0.987
  
38. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210115.png ; $\alpha$ ; confidence 0.918
+
38. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046072.png ; $\sum _ { n = 0 } ^ { \infty } P _ { n } ( x )$ ; confidence 0.987
  
39. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024089.png ; $g > 1$ ; confidence 0.918
+
39. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016051.png ; $X ( t )$ ; confidence 0.987
  
40. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a11030029.png ; $\{ v _ { \alpha } : \alpha \in A \}$ ; confidence 0.918
+
40. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797067.png ; $H ^ { n } ( G , K )$ ; confidence 0.987
  
41. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013180/a013180158.png ; $\| T _ { M } \|$ ; confidence 0.918
+
41. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016091.png ; $A x = \lambda x$ ; confidence 0.987
  
42. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110130/c11013026.png ; $f \in C ^ { k }$ ; confidence 0.918
+
42. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004049.png ; $d _ { 1 } d _ { 2 } = \operatorname { deg } \lambda$ ; confidence 0.987
  
43. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026480/c0264808.png ; $\alpha _ { i } : A _ { i } \rightarrow X$ ; confidence 0.918
+
43. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590379.png ; $x _ { 0 } ^ { 4 } + x _ { 1 } ^ { 3 } + x _ { 2 } ^ { 2 } + \ldots + x _ { n } ^ { 2 } = 0$ ; confidence 0.987
  
44. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031930/d031930232.png ; $= \Phi ( z ) \operatorname { exp } \{ \frac { z - t } { \pi } \int \int _ { S } \frac { A ( \zeta ) w ( \zeta ) + B ( \zeta ) \overline { w ( \zeta ) } } { ( \zeta - z ) ( \zeta - t ) w } d \xi d \eta \}$ ; confidence 0.918
+
44. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040747.png ; $\Sigma ( P , R )$ ; confidence 0.987
  
45. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038220/f0382203.png ; $K _ { X } ^ { - 1 }$ ; confidence 0.918
+
45. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007070.png ; $K _ { 1 } > 0$ ; confidence 0.987
  
46. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080020/r080020171.png ; $P - N \equiv ( \frac { m _ { 1 } } { 2 } ) ^ { 2 } \pm 1 \operatorname { mod } 8$ ; confidence 0.918
+
46. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055031.png ; $g x = x$ ; confidence 0.987
  
47. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001026.png ; $\| A ^ { - 1 } \delta A \| < 1$ ; confidence 0.918
+
47. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092900/t09290043.png ; $( G , B , N , S )$ ; confidence 0.987
  
48. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a1101009.png ; $U ^ { 0 }$ ; confidence 0.918
+
48. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121054.png ; $\alpha \geq 0$ ; confidence 0.986
  
49. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240506.png ; $Z _ { 32 } , Z _ { 33 }$ ; confidence 0.917
+
49. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017047.png ; $\Phi ( x )$ ; confidence 0.986
  
50. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240518.png ; $Z _ { 12 }$ ; confidence 0.917
+
50. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060123.png ; $\lambda = \lambda _ { G } = 1 / Z _ { G } ( q ^ { - 1 } )$ ; confidence 0.986
  
51. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120270/b12027050.png ; $U ( t ) = \sum _ { 1 } ^ { \infty } P ( S _ { k } \leq t ) = \sum _ { 1 } ^ { \infty } F ^ { ( k ) } ( t )$ ; confidence 0.917
+
51. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a130070109.png ; $\sigma ^ { * } ( n )$ ; confidence 0.986
  
52. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016970/b01697035.png ; $t _ { f } ( n )$ ; confidence 0.917
+
52. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110080/c11008039.png ; $f ^ { - 1 }$ ; confidence 0.986
  
53. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032450/d032450444.png ; $X _ { 1 } \cup X _ { 2 } = X$ ; confidence 0.917
+
53. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690059.png ; $H ^ { 0 } ( G , A ) = H ^ { 0 } ( C ^ { * } ( G , A ) )$ ; confidence 0.986
  
54. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024063.png ; $g \times 2 g$ ; confidence 0.917
+
54. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a014170130.png ; $X \times V \rightarrow X$ ; confidence 0.986
  
55. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020069.png ; $Q : \mathfrak { A } / \mathfrak { A } _ { 1 } \rightarrow \mathfrak { A }$ ; confidence 0.917
+
55. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n066900124.png ; $H ^ { 2 } ( G , A )$ ; confidence 0.986
  
56. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010109.png ; $m > 3$ ; confidence 0.916
+
56. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001023.png ; $( A + \delta A ) ( x + \delta x ) = b + \delta b$ ; confidence 0.986
  
57. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010133.png ; $S ( p ) = U ( 1 ) _ { p } \backslash U ( n + 2 ) / U ( n )$ ; confidence 0.916
+
57. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010970/a01097011.png ; $O M$ ; confidence 0.986
  
58. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023620/c0236203.png ; $| \alpha ( z ) |$ ; confidence 0.916
+
58. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110170/a11017037.png ; $\dot { \phi } ( X , t )$ ; confidence 0.986
  
59. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054070/j05407010.png ; $w _ { 1 } = w _ { 1 } ( z _ { 1 } )$ ; confidence 0.916
+
59. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a1100406.png ; $q = h ^ { 1 } ( A , O _ { A } ) = 2$ ; confidence 0.986
  
60. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210106.png ; $\int _ { \gamma } \omega _ { 3 } = \sum _ { k = 1 } ^ { g } ( l _ { k } A _ { k } + b _ { + k } B _ { k } ) + 2 \pi i \sum _ { j = 1 } ^ { n } m _ { j } c _ { j }$ ; confidence 0.916
+
60. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016081.png ; $M = M _ { 1 } M _ { 2 }$ ; confidence 0.986
  
61. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010670/a0106701.png ; $Q ( y , . )$ ; confidence 0.916
+
61. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l05859083.png ; $\operatorname { exp } : L ( G ) \rightarrow G$ ; confidence 0.986
  
62. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120030/a12003011.png ; $a , b$ ; confidence 0.915
+
62. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590482.png ; $( \frac { \partial F ( x , y , \lambda ) } { \partial x } , \frac { \partial F ( x , y , \lambda ) } { \partial y } )$ ; confidence 0.986
  
63. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110960/b11096026.png ; $\nu : Z ( K ) \rightarrow V \subset \operatorname { Aff } ( A )$ ; confidence 0.915
+
63. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010930/a01093033.png ; $\frac { \partial \omega } { \partial t } = \Delta \omega - 2 ( \frac { \partial \psi } { \partial y } \frac { \partial \omega } { \partial x } - \frac { \partial \psi } { \partial x } \frac { \partial \omega } { \partial y } )$ ; confidence 0.986
  
64. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025440/c02544057.png ; $\forall x \in D _ { k } : \mu _ { k } \Delta u + ( \lambda _ { k } + \mu _ { k } ) \text { grad div } u = 0$ ; confidence 0.915
+
64. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240415.png ; $f ( \Theta )$ ; confidence 0.986
  
65. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046600/h0466006.png ; $\{ x : | x - y | < r \}$ ; confidence 0.915
+
65. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022020.png ; $\epsilon > 0$ ; confidence 0.986
  
66. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057780/l057780212.png ; $31$ ; confidence 0.915
+
66. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046011.png ; $1$ ; confidence 0.986
  
67. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021045.png ; $( \operatorname { Im } B _ { i j } )$ ; confidence 0.915
+
67. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l05851053.png ; $\alpha , \beta \in \Sigma$ ; confidence 0.986
  
68. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024036.png ; $g \geq 1$ ; confidence 0.914
+
68. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055060.png ; $\partial X ^ { \prime \prime }$ ; confidence 0.986
  
69. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022047.png ; $p \times 2 p$ ; confidence 0.914
+
69. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012024.png ; $7$ ; confidence 0.986
  
70. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012013.png ; $h$ ; confidence 0.914
+
70. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032019.png ; $z \rightarrow 0$ ; confidence 0.986
  
71. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050161.png ; $Z _ { G } ( y ) = \sum _ { n = 0 } ^ { \infty } G ^ { \# } ( n ) y ^ { n }$ ; confidence 0.914
+
71. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600249.png ; $L / K$ ; confidence 0.986
  
72. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022011.png ; $X = 1 ^ { p }$ ; confidence 0.914
+
72. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013590/a01359029.png ; $\Phi ^ { ( 3 ) } ( x )$ ; confidence 0.986
  
73. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240328.png ; $H : X _ { 3 } B X _ { 4 } = 0$ ; confidence 0.914
+
73. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015280/b0152808.png ; $\lambda _ { 0 } + \ldots + \lambda _ { n } = 1$ ; confidence 0.986
  
74. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120370/b12037030.png ; $h \in \Omega$ ; confidence 0.914
+
74. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780445.png ; $M U ^ { * } ( X )$ ; confidence 0.986
  
75. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b01747053.png ; $\Pi ^ { \prime \prime }$ ; confidence 0.914
+
75. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031950/d03195029.png ; $W _ { 2 } ^ { p }$ ; confidence 0.986
  
76. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120020/e12002045.png ; $T$ ; confidence 0.914
+
76. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032100/d032100109.png ; $\dot { x } ( t ) = A x ( t - h ) - D x ( t )$ ; confidence 0.986
  
77. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120150/e12015064.png ; $P _ { 1 } ^ { 1 } = \frac { 1 } { 4 } p ^ { 2 } + \frac { 1 } { 2 } \dot { p } - q = I$ ; confidence 0.914
+
77. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120320/d1203201.png ; $T : L ^ { 1 } \rightarrow X$ ; confidence 0.986
  
78. 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
+
78. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047560/h04756028.png ; $f ^ { - 1 } \circ f ( z ) = z$ ; confidence 0.986
  
79. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082110/r0821106.png ; $d s ^ { 2 } = g _ { j } \omega ^ { i } \omega ^ { j }$ ; confidence 0.914
+
79. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055440/k05544031.png ; $\Delta u = - f ( x )$ ; confidence 0.986
  
80. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210101.png ; $A _ { k } , B _ { k }$ ; confidence 0.914
+
80. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060600/l06060022.png ; $\int \frac { d x } { x } = \operatorname { ln } | x | + C$ ; confidence 0.986
  
81. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007093.png ; $\leq K _ { 2 } \sum _ { i = 1 } ^ { k } | \lambda | ^ { \alpha _ { i } } | t - s | ^ { \beta _ { i } }$ ; confidence 0.914
+
81. https://www.encyclopediaofmath.org/legacyimages/s/s110/s110290/s11029032.png ; $t / \lambda ^ { 2 } \rightarrow + \infty$ ; confidence 0.986
  
82. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050109.png ; $\| U ( t , s ) \| _ { Y } \leq \overline { M } e ^ { \overline { \beta } ( t - s ) } , \quad ( t , s ) \in \Delta$ ; confidence 0.913
+
82. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090260/s09026037.png ; $d x = A ( t ) x d t + B ( t ) d w ( t )$ ; confidence 0.986
  
83. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a1300402.png ; $Fm$ ; confidence 0.913
+
83. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090450/s09045037.png ; $W ^ { ( n ) } ( s )$ ; confidence 0.986
  
84. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024730/c02473061.png ; $\Omega ^ { \prime } = \| \Omega _ { \alpha } ^ { \prime \beta } \|$ ; confidence 0.913
+
84. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095620/u09562096.png ; $\sum _ { k = 1 } ^ { \infty } | \alpha _ { k } | ^ { 2 } = \frac { 1 } { 2 \pi } \int _ { 0 } ^ { 2 \pi } | f ( e ^ { i t } ) | ^ { 2 } d t \leq 1$ ; confidence 0.986
  
85. 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
+
85. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010177.png ; $B \rightarrow ( A ^ { T } A ) ^ { - 1 } A ^ { T }$ ; confidence 0.986
  
86. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001051.png ; $| A |$ ; confidence 0.913
+
86. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074640/p07464037.png ; $B \rightarrow G$ ; confidence 0.986
  
87. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060530/l0605309.png ; $h _ { U } = \phi _ { U } ^ { - 1 }$ ; confidence 0.912
+
87. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120514.png ; $\prod _ { \alpha } F _ { \alpha }$ ; confidence 0.986
  
88. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046083.png ; $0 \in D$ ; confidence 0.912
+
88. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a011380124.png ; $( \mathfrak { A } \rightarrow \mathfrak { B } ) = 1$ ; confidence 0.986
  
89. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a11022089.png ; $L ^ { 0 } ( H , m )$ ; confidence 0.911
+
89. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040118.png ; $\varphi \rightarrow \psi \in T$ ; confidence 0.986
  
90. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007017.png ; $1$ ; confidence 0.911
+
90. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004018.png ; $\varphi \in Fm$ ; confidence 0.986
  
91. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007057.png ; $A _ { \alpha } ( x ) = o ( \frac { x } { \operatorname { log } x } )$ ; confidence 0.911
+
91. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013049.png ; $\theta _ { n } = \theta _ { n - 1 } - \gamma _ { n } \Gamma H ( \theta _ { n - 1 } , X _ { n } )$ ; confidence 0.986
  
92. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032130/d032130352.png ; $s ^ { \prime } ( \Omega ^ { r } ( X ) )$ ; confidence 0.911
+
92. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040103.png ; $C = f ^ { - 1 } ( H )$ ; confidence 0.986
  
93. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f12021085.png ; $\lambda = \lambda _ { j }$ ; confidence 0.911
+
93. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q0763108.png ; $\epsilon : A \rightarrow k$ ; confidence 0.986
  
94. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082160/r082160280.png ; $\gamma : M ^ { n } \rightarrow M ^ { n }$ ; confidence 0.911
+
94. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052350/i05235024.png ; $f ( x , y ) = a x ^ { 2 } + 2 b x y + c y ^ { 2 }$ ; confidence 0.986
  
95. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130070/w13007023.png ; $\beta$ ; confidence 0.911
+
95. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074720/p07472041.png ; $\Gamma = \Gamma _ { \alpha , S }$ ; confidence 0.986
  
96. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007068.png ; $| ( A ( t ) - A ( s ) ) A ( 0 ) ^ { - 1 } \| \leq C _ { 2 } | t - s | ^ { \alpha } , \quad t , s \in [ 0 , T ]$ ; confidence 0.911
+
96. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010136.png ; $\| ( A + \delta A ) ^ { + } \| _ { 2 } = \frac { 1 } { \sigma _ { r } ( A + \delta A ) }$ ; confidence 0.986
  
97. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a130070100.png ; $n ^ { \prime 0 } / n ^ { 0 } \geq 2 ^ { 1 / 4 } \sim 1,19$ ; confidence 0.911
+
97. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d03070097.png ; $( S , \delta )$ ; confidence 0.985
  
98. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013037.png ; $SL _ { 2 } ( C )$ ; confidence 0.910
+
98. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011100/a01110020.png ; $\vec { a b } + \vec { b c } + \vec { c a } = \vec { 0 }$ ; confidence 0.985
  
99. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008083.png ; $X \leftarrow ( U - 1 / 2 ) / ( \sqrt { ( U - U ^ { 2 } ) } / 2 )$ ; confidence 0.910
+
99. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010800/a01080028.png ; $= B ( \Delta T ( Z , X ) , Y ) , \quad \Delta T = T - T$ ; confidence 0.985
  
100. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074710/p074710106.png ; $P \rightarrow e$ ; confidence 0.910
+
100. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008048.png ; $f \in C ( [ 0 , T ] ; V )$ ; confidence 0.985
  
101. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024048.png ; $F ^ { * }$ ; confidence 0.910
+
101. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004021.png ; $h ^ { 0 } ( A , L ) = \frac { 1 } { 2 } ( L ^ { 2 } ) = d$ ; confidence 0.985
  
102. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050261.png ; $G _ { C } ^ { \# } ( n )$ ; confidence 0.909
+
102. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110490/a11049010.png ; $R _ { D } \subset L _ { 0 } ( X )$ ; confidence 0.985
  
103. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040791.png ; $K _ { 0 } \subseteq K$ ; confidence 0.909
+
103. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008070.png ; $2 s = R - L$ ; confidence 0.985
  
104. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029069.png ; $\pi x = f g$ ; confidence 0.909
+
104. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797068.png ; $\mu = \Delta ^ { * }$ ; confidence 0.985
  
105. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b01747067.png ; $\omega ^ { - 1 }$ ; confidence 0.909
+
105. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121027.png ; $x \rightarrow + \infty$ ; confidence 0.985
  
106. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h046420200.png ; $F ( \phi ) \in A ( \hat { G } )$ ; confidence 0.909
+
106. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a1101606.png ; $( n \times n )$ ; confidence 0.985
  
107. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096770/v0967704.png ; $F : \Omega \times R ^ { n } \times R ^ { n } \times S ^ { n } \rightarrow R$ ; confidence 0.909
+
107. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r07764037.png ; $h ^ { 1 } ( O _ { Z } ) = 0$ ; confidence 0.985
  
108. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w13009053.png ; $\| \varphi \| _ { L ^ { 2 } ( \mu ) } = \sqrt { n ! } | f | _ { H ^ { \otimes n } }$ ; confidence 0.909
+
108. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040229.png ; $\wedge \Gamma \approx \Delta \rightarrow \varphi \approx \psi$ ; confidence 0.985
  
109. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006020.png ; $\pi ( x ) = \sum _ { n \leq x } P _ { N } ( n )$ ; confidence 0.909
+
109. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016050.png ; $Q ( x _ { k } + \alpha _ { k } r _ { k } )$ ; confidence 0.985
  
110. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040205.png ; $T$ ; confidence 0.909
+
110. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022023.png ; $p = 1$ ; confidence 0.985
  
111. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007021.png ; $K _ { 0 } > 0$ ; confidence 0.908
+
111. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600156.png ; $A _ { m } / H _ { m }$ ; confidence 0.985
  
112. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007086.png ; $C ^ { 1 + \delta } ( [ 0 , T ] ; X )$ ; confidence 0.908
+
112. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600149.png ; $\alpha \equiv 1$ ; confidence 0.985
  
113. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130020/b13002056.png ; $x \in J$ ; confidence 0.908
+
113. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007072.png ; $\| \frac { \partial } { \partial t } ( \lambda - A ( t ) ) ^ { - 1 } \| \leq \frac { K _ { 1 } } { ( 1 + | \lambda | ) ^ { \rho } }$ ; confidence 0.985
  
114. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026600/c026600121.png ; $\operatorname { lm } z ( x ) = 1$ ; confidence 0.908
+
114. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023720/c02372058.png ; $\Gamma = \{ z \in \overline { C } : | z | = 1 \}$ ; confidence 0.985
  
115. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130070/e1300704.png ; $S = o ( \# A )$ ; confidence 0.908
+
115. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058430/l05843089.png ; $\mathfrak { g } _ { \alpha } \neq 0$ ; confidence 0.985
  
116. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a11022028.png ; $C \in C$ ; confidence 0.908
+
116. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h047970126.png ; $( A , m , e , \mu , \epsilon )$ ; confidence 0.985
  
117. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110330/a1103306.png ; $U$ ; confidence 0.908
+
117. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064510/m064510123.png ; $\overline { M } \backslash M$ ; confidence 0.985
  
118. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040437.png ; $F \mapsto h ^ { - 1 } ( F )$ ; confidence 0.907
+
118. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020051.png ; $( R , \mu ]$ ; confidence 0.985
  
119. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008031.png ; $S ( t )$ ; confidence 0.907
+
119. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n0669009.png ; $C ^ { 2 }$ ; confidence 0.985
  
120. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040801.png ; $C \subseteq D$ ; confidence 0.907
+
120. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120321.png ; $\Lambda \equiv 0$ ; confidence 0.985
  
121. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020080.png ; $6$ ; confidence 0.907
+
121. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240545.png ; $2$ ; confidence 0.985
  
122. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120240/e12024025.png ; $K ( L )$ ; confidence 0.907
+
122. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050246.png ; $Z _ { G } ( - q ^ { - 1 } ) \neq 0$ ; confidence 0.985
  
123. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047730/h04773077.png ; $\beta ^ { s - k } z ^ { \prime }$ ; confidence 0.907
+
123. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010055.png ; $C _ { W } ( X )$ ; confidence 0.985
  
124. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120140/p12014048.png ; $E = E$ ; confidence 0.907
+
124. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650408.png ; $\Omega _ { p } ^ { * } = \Omega _ { p } \cup \{ F _ { i } ^ { * } : F _ { i } \in \Omega _ { f } \}$ ; confidence 0.985
  
125. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300109.png ; $s = s ( ( A ^ { * } ) ^ { ( B ^ { * } ) } , ( B ^ { * } ) ^ { ( C ^ { * } ) } )$ ; confidence 0.907
+
125. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110700/a11070080.png ; $\Omega ^ { p } [ V ]$ ; confidence 0.985
  
126. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007026.png ; $c = 5$ ; confidence 0.907
+
126. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016540/b0165404.png ; $B = \{ b _ { i } : i \in I \}$ ; confidence 0.985
  
127. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050268.png ; $k > 0$ ; confidence 0.907
+
127. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016810/b01681038.png ; $n ( z ) = n _ { 0 } e ^ { - m g z / k T }$ ; confidence 0.985
  
128. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010065.png ; $u \in D ( \Delta )$ ; confidence 0.907
+
128. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016920/b01692023.png ; $( x \vee C x ) \wedge y = y$ ; confidence 0.985
  
129. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013052.png ; $q ^ { ( l + 1 ) } = - ( q ^ { ( l ) } ) ^ { 2 } r ^ { ( l ) } + q ^ { ( l ) } \operatorname { log } ( q ^ { ( l ) } ) , r ^ { ( l + 1 ) } = \frac { 1 } { q ^ { ( l ) } }$ ; confidence 0.906
+
129. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120510/b12051029.png ; $\operatorname { lim } _ { n \rightarrow \infty } \nabla f ( x _ { n } ) = 0$ ; confidence 0.985
  
130. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010137.png ; $\| A ^ { + } \| _ { 2 } = \frac { 1 } { \sigma _ { r } ( A ) }$ ; confidence 0.906
+
130. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110400/c110400102.png ; $M ^ { \perp } = \{ x \in G$ ; confidence 0.985
  
131. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420109.png ; $x , y \in A$ ; confidence 0.906
+
131. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e12010055.png ; $E ^ { \prime } = 0$ ; confidence 0.985
  
132. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001097.png ; $SO ( 4 n + 3 )$ ; confidence 0.906
+
132. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i13005080.png ; $s > - \infty$ ; confidence 0.985
  
133. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a01406028.png ; $20$ ; confidence 0.906
+
133. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055700/k05570017.png ; $A _ { t } ^ { * }$ ; confidence 0.985
  
134. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030020/d03002094.png ; $f ^ { * } N = O _ { X } \otimes _ { f } - 1 _ { O _ { Y } } f ^ { - 1 } N$ ; confidence 0.906
+
134. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057050/l057050113.png ; $\overline { B } \rightarrow \overline { B }$ ; confidence 0.985
  
135. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023063.png ; $R = \sum _ { i = 0 } ^ { n - 1 } Z ^ { i } G J G ^ { * } Z ^ { * i } =$ ; confidence 0.906
+
135. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062160/m062160147.png ; $\kappa = \mu ^ { * }$ ; confidence 0.985
  
136. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041270/f04127050.png ; $x \in D ( A )$ ; confidence 0.906
+
136. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063980/m06398045.png ; $\| x _ { k } - x ^ { * } \| \leq C q ^ { k }$ ; confidence 0.985
  
137. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043330/g04333080.png ; $\omega = 1 / c ^ { 2 }$ ; confidence 0.906
+
137. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064430/m064430134.png ; $w = \lambda ( z )$ ; confidence 0.985
  
138. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058360/l058360172.png ; $\mathfrak { A } ^ { - }$ ; confidence 0.906
+
138. https://www.encyclopediaofmath.org/legacyimages/o/o110/o110030/o11003071.png ; $I _ { p } ( L )$ ; confidence 0.985
  
139. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075650/p07565068.png ; $X \cap U = \{ x \in U : \phi ( x ) > 0 \}$ ; confidence 0.906
+
139. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068460/o0684606.png ; $x ( t _ { 1 } ) = x ^ { 1 } \in R ^ { n }$ ; confidence 0.985
  
140. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081130/r08113085.png ; $c t ^ { \prime } = x ^ { \prime } \operatorname { sinh } \psi + c t \operatorname { cosh } \psi$ ; confidence 0.906
+
140. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072350/p07235016.png ; $h > 1$ ; confidence 0.985
  
141. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120080/w12008025.png ; $W ( f \times g ) = W ( f ) . W ( g )$ ; confidence 0.906
+
141. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075190/p07519013.png ; $x ^ { i } = y ^ { i } \lambda$ ; confidence 0.985
  
142. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a11022085.png ; $g : R ^ { j } \rightarrow R$ ; confidence 0.906
+
142. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077060/r0770601.png ; $\Delta u + k ^ { 2 } u = - f$ ; confidence 0.985
  
143. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006043.png ; $G _ { q } ^ { \# } ( n ) = q ^ { n }$ ; confidence 0.905
+
143. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082560/r0825605.png ; $V = 5$ ; confidence 0.985
  
144. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050134.png ; $( N \times N )$ ; confidence 0.905
+
144. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086960/s08696095.png ; $k \leq p \leq n$ ; confidence 0.985
  
145. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240177.png ; $\alpha$ ; confidence 0.905
+
145. https://www.encyclopediaofmath.org/legacyimages/w/w110/w110120/w11012047.png ; $( D ) \leq c \text { length } ( C )$ ; confidence 0.985
  
146. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060970/l0609706.png ; $\alpha = R \operatorname { ln } \operatorname { tan } ( \frac { \pi } { 4 } + \frac { u } { 2 R } )$ ; confidence 0.905
+
146. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040221.png ; $E ( x , y ) = \{ \epsilon _ { i } ( x , y ) : i \in I \}$ ; confidence 0.985
  
147. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066340/n06634043.png ; $\Sigma _ { n - 1 } ( x )$ ; confidence 0.905
+
147. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a01146096.png ; $C _ { \tau } ( X ) \cap C ^ { 1 } ( X )$ ; confidence 0.985
  
148. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072510/p07251047.png ; $d y _ { 0 } - \sum _ { j = 1 } ^ { p } z _ { j } d y _ { j } = 0$ ; confidence 0.905
+
148. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010930/a01093024.png ; $\Delta \omega = 2 ( \frac { \partial \psi } { \partial y } \frac { \partial \omega } { \partial x } - \frac { \partial \psi } { \partial x } \frac { \partial \omega } { \partial y } )$ ; confidence 0.985
  
149. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073090/p07309030.png ; $V \cap L$ ; confidence 0.905
+
149. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004017.png ; $\Gamma , \Delta \subseteq Fm$ ; confidence 0.985
  
150. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081470/r081470221.png ; $\oplus R ( S _ { n } )$ ; confidence 0.905
+
150. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h04769070.png ; $f$ ; confidence 0.985
  
151. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095290/u09529022.png ; $w = \operatorname { sin }$ ; confidence 0.905
+
151. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012052.png ; $\{ \lambda _ { k } \}$ ; confidence 0.985
  
152. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018032.png ; $A _ { n } = B n ^ { s _ { 1 } } ( \operatorname { ln } n ) ^ { \alpha } + O ( n ^ { \beta } )$ ; confidence 0.905
+
152. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240202.png ; $q \times m$ ; confidence 0.985
  
153. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050267.png ; $C > 0$ ; confidence 0.904
+
153. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058480/l05848036.png ; $( G ) \rightarrow L ( G )$ ; confidence 0.985
  
154. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013250/a01325046.png ; $0 \notin f ( \partial D )$ ; confidence 0.904
+
154. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700138.png ; $O \rightarrow \Lambda$ ; confidence 0.985
  
155. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e12012065.png ; $\propto \| \Sigma \| ^ { - 1 / 2 } [ \nu + ( y - \mu ) ^ { T } \Sigma ^ { - 1 } ( y - \mu ) ] ^ { - ( \nu + p ) / 2 }$ ; confidence 0.904
+
155. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a011380178.png ; $\{ x + y , 1 , x \& y \}$ ; confidence 0.985
  
156. 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
+
156. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020560/c02056028.png ; $\phi : G \rightarrow G ^ { \prime }$ ; confidence 0.985
  
157. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090760/s09076059.png ; $p ( \alpha )$ ; confidence 0.904
+
157. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700297.png ; $D ( A \times I )$ ; confidence 0.985
  
158. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094600/t0946003.png ; $\alpha \geq A _ { 0 }$ ; confidence 0.904
+
158. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690015.png ; $\delta : C ^ { 1 } \rightarrow C ^ { 2 }$ ; confidence 0.985
  
159. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040789.png ; $g \circ h = g ^ { \prime } \circ h$ ; confidence 0.904
+
159. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040278.png ; $\Gamma \cup \{ \varphi , \psi \} \subseteq Fm$ ; confidence 0.985
  
160. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240335.png ; $F = E X$ ; confidence 0.904
+
160. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590383.png ; $x _ { 0 } ^ { 5 } + x _ { 1 } ^ { 3 } + x _ { 2 } ^ { 2 } + \ldots + x _ { n } ^ { 2 } = 0$ ; confidence 0.985
  
161. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022040/c02204033.png ; $h ^ { * } ( pt )$ ; confidence 0.903
+
161. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010820/a010820105.png ; $\alpha = G ( \alpha ^ { \prime } ) \phi$ ; confidence 0.985
  
162. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035250/e035250143.png ; $\Delta \Delta w _ { 0 } = 0$ ; confidence 0.903
+
162. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a1300705.png ; $\sigma ( n ) < 2 n$ ; confidence 0.984
  
163. 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
+
163. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680209.png ; $n \geq 4$ ; confidence 0.984
  
164. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070040/o07004017.png ; $\operatorname { lim } \alpha / \beta = 0$ ; confidence 0.903
+
164. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690021.png ; $Z ^ { 1 } = \delta ^ { - 1 } ( e ) \subseteq C ^ { 1 }$ ; confidence 0.984
  
165. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130070/v13007046.png ; $q e ^ { ( - i \theta ) }$ ; confidence 0.903
+
165. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047410/h047410135.png ; $( \dot { x } , \dot { y } )$ ; confidence 0.984
  
166. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110370/a1103703.png ; $0 \leq t _ { 0 } < \ldots < t _ { n }$ ; confidence 0.903
+
166. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690095.png ; $\rightarrow H ^ { 1 } ( G , B ) \rightarrow H ^ { 1 } ( G , A )$ ; confidence 0.984
  
167. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240223.png ; $\zeta _ { i } = E ( z _ { i } )$ ; confidence 0.903
+
167. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010580/a01058012.png ; $\frac { d \Omega ( x , t ) } { d x } = f _ { y } ( x , y ( x ) ) \Omega ( x , t )$ ; confidence 0.984
  
168. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008038.png ; $A = S ^ { \prime \prime } ( 0 )$ ; confidence 0.903
+
168. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240342.png ; $Y , B , E$ ; confidence 0.984
  
169. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040207.png ; $\sigma \in H ^ { 0 } ( P ^ { 4 } , F )$ ; confidence 0.902
+
169. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010235.png ; $j \neq i | \lambda _ { i } - \lambda _ { j } | < 2 \psi$ ; confidence 0.984
  
170. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240301.png ; $\hat { \eta } \Omega$ ; confidence 0.902
+
170. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820114.png ; $f ( Z )$ ; confidence 0.984
  
171. https://www.encyclopediaofmath.org/legacyimages/s/s110/s110330/s11033016.png ; $- 5 \rightarrow - 14 \rightarrow - 7 \rightarrow - 20 \rightarrow - 10 \rightarrow - 5$ ; confidence 0.902
+
171. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590559.png ; $\lambda _ { 1 } \lambda _ { 2 } > 0$ ; confidence 0.984
  
172. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010420/a0104206.png ; $Y _ { n } = X _ { 1 } + \ldots + X _ { n } + c$ ; confidence 0.902
+
172. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083020/s08302022.png ; $\lambda _ { 1 } \lambda _ { 2 } < 0$ ; confidence 0.984
  
173. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016029.png ; $x _ { k + 1 } = ( D + \omega L ) ^ { - 1 } ( \omega b - ( ( 1 - \omega ) D - \omega U ) x _ { k } )$ ; confidence 0.902
+
173. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a01138019.png ; $x = 1$ ; confidence 0.984
  
174. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021056.png ; $n = 1$ ; confidence 0.901
+
174. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012064.png ; $\lambda ^ { * } = \lambda ( x ^ { * } , y ^ { * } )$ ; confidence 0.984
  
175. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001071.png ; $k ( A ) = \| A ^ { - 1 } \| A \|$ ; confidence 0.901
+
175. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110400/a11040090.png ; $x ^ { * } \in X ^ { * }$ ; confidence 0.984
  
176. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010104.png ; $\operatorname { Sp } ( n + 1 ) / \operatorname { Sp } ( n ) , \quad \operatorname { Sp } ( n + 1 ) / \operatorname { Sp } ( n ) \times Z _ { 2 }$ ; confidence 0.901
+
176. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a01149060.png ; $P _ { k } ( x _ { 0 } ) = 0$ ; confidence 0.984
  
177. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011520/a01152028.png ; $G _ { X } = \{ g \in G : g x = x \}$ ; confidence 0.901
+
177. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011520/a01152012.png ; $G , V$ ; confidence 0.984
  
178. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020740/c020740168.png ; $F ( 1 _ { A } ) = 1 _ { F A }$ ; confidence 0.901
+
178. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a011370131.png ; $C ( Y )$ ; confidence 0.984
  
179. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067940/n06794014.png ; $N > 5$ ; confidence 0.901
+
179. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035300/e03530041.png ; $J _ { m } ( \lambda )$ ; confidence 0.984
  
180. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004037.png ; $\varphi \in T$ ; confidence 0.901
+
180. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022039.png ; $S < T$ ; confidence 0.984
  
181. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006032.png ; $\operatorname { lim } _ { s \rightarrow \infty } \beta _ { X } ( s ) = 0$ ; confidence 0.900
+
181. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004089.png ; $D$ ; confidence 0.984
  
182. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010330/a01033012.png ; $\beta _ { \gamma } = \int _ { - \infty } ^ { + \infty } | x | ^ { r } p ( x ) d x$ ; confidence 0.900
+
182. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010700/a01070020.png ; $\beta : S \rightarrow B / L$ ; confidence 0.984
  
183. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040132.png ; $IPC$ ; confidence 0.900
+
183. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110400/a11040023.png ; $T ^ { * }$ ; confidence 0.984
  
184. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040581.png ; $S 5 ^ { W }$ ; confidence 0.900
+
184. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a01137073.png ; $\{ U _ { i } \}$ ; confidence 0.984
  
185. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110130/b11013012.png ; $M _ { d } ^ { * } = M _ { d }$ ; confidence 0.900
+
185. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020890/c020890175.png ; $F ^ { - } ( \zeta _ { 0 } )$ ; confidence 0.984
  
186. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015350/b015350300.png ; $\delta _ { i k } = 0$ ; confidence 0.900
+
186. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022660/c02266091.png ; $\mu _ { 2 } ( C R ) = 0$ ; confidence 0.984
  
187. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016850/b01685023.png ; $E = \sum _ { i = 1 } ^ { M } \epsilon _ { i } N _ { i }$ ; confidence 0.900
+
187. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023120/c02312031.png ; $x g = \lambda x$ ; confidence 0.984
  
188. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120060/e12006018.png ; $T p ( A _ { y } ) = A$ ; confidence 0.900
+
188. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025140/c025140196.png ; $X : B \rightarrow T B$ ; confidence 0.984
  
189. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002023.png ; $t \in I$ ; confidence 0.900
+
189. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025600/c02560042.png ; $\frac { d u } { d \lambda } = - \phi ^ { \prime } ( u ) ^ { - 1 } \phi ( u ^ { 0 } )$ ; confidence 0.984
  
190. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010710/a01071017.png ; $A B \subseteq Q , A \nsubseteq Q \Rightarrow B \subseteq \operatorname { pr } ( Q )$ ; confidence 0.899
+
190. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e13003029.png ; $K _ { \infty }$ ; confidence 0.984
  
191. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010185.png ; $\lambda$ ; confidence 0.899
+
191. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050720/i05072015.png ; $\eta : Y \rightarrow B$ ; confidence 0.984
  
192. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240496.png ; $s = 2$ ; confidence 0.899
+
192. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051560/i05156047.png ; $| t - \tau |$ ; confidence 0.984
  
193. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020027.png ; $3$ ; confidence 0.899
+
193. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051870/i05187033.png ; $T _ { W } ^ { 2 k + 1 } ( X )$ ; confidence 0.984
  
194. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011990/a0119906.png ; $\pi _ { k } ( x )$ ; confidence 0.899
+
194. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052520/i05252091.png ; $f ( x ^ { * } x ) \leq f ( 1 ) r ( x ^ { * } x )$ ; confidence 0.984
  
195. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033530/d03353048.png ; $\pi ( y ) - \operatorname { li } y > - M y \operatorname { log } ^ { - m } y$ ; confidence 0.899
+
195. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110020/m11002071.png ; $f \circ R _ { 1 } = R _ { 2 } \circ f$ ; confidence 0.984
  
196. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035360/e03536067.png ; $\langle P ^ { ( 2 ) } \rangle$ ; confidence 0.899
+
196. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064700/m064700127.png ; $t \in P ^ { 1 }$ ; confidence 0.984
  
197. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058360/l058360168.png ; $x$ ; confidence 0.899
+
197. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066980/n06698028.png ; $Q ^ { \prime } \subset Q$ ; confidence 0.984
  
198. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w12007015.png ; $q$ ; confidence 0.899
+
198. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070070/o070070117.png ; $\{ Z _ { n } \}$ ; confidence 0.984
  
199. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120040/a12004016.png ; $x _ { 0 } \in \overline { D ( A ) }$ ; confidence 0.898
+
199. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085340/s0853408.png ; $s _ { \alpha } \geq 1$ ; confidence 0.984
  
200. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420160.png ; $K _ { 0 } ( B ) = Z + \theta Z$ ; confidence 0.898
+
200. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200179.png ; $\operatorname { Re } G _ { 1 } ( r ) \geq B$ ; confidence 0.984
  
201. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120040/c12004049.png ; $f \in H _ { c } ( D )$ ; confidence 0.898
+
201. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010990/a0109908.png ; $k = f ( s )$ ; confidence 0.984
  
202. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046280/h04628059.png ; $x ^ { ( 1 ) } = x ^ { ( 1 ) } ( t )$ ; confidence 0.898
+
202. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a0101202.png ; $f ^ { ( n ) } ( \lambda _ { n } ) = A _ { n }$ ; confidence 0.984
  
203. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082430/r0824307.png ; $I ( A ) = \operatorname { Ker } ( \epsilon )$ ; confidence 0.898
+
203. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018033.png ; $B , s _ { 1 } , \alpha$ ; confidence 0.984
  
204. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120140/w12014036.png ; $S \square T$ ; confidence 0.898
+
204. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011740/a01174024.png ; $n \geq 2$ ; confidence 0.984
  
205. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002046.png ; $GF ( q )$ ; confidence 0.897
+
205. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121086.png ; $w ^ { \prime \prime } + \lambda ^ { 2 } q ( x ) w = 0$ ; confidence 0.984
  
206. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010330/a0103305.png ; $\beta _ { r } = E | X | ^ { r }$ ; confidence 0.897
+
206. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a11030022.png ; $\Omega X$ ; confidence 0.984
  
207. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040240.png ; $\Gamma \cup \{ \varphi \} \subseteq Fm$ ; confidence 0.897
+
207. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006046.png ; $0 \leq t _ { 1 } \leq t _ { k } \leq T$ ; confidence 0.984
  
208. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046014.png ; $\delta f ( \alpha , h )$ ; confidence 0.897
+
208. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006043.png ; $s \rightarrow \infty$ ; confidence 0.984
  
209. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020550/c02055049.png ; $1$ ; confidence 0.897
+
209. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010064.png ; $\int _ { \Omega } u \Delta u d x = \int _ { \partial \Omega } u \frac { \partial u } { \partial \eta } d \sigma - \int _ { \Omega } | \operatorname { grad } u | ^ { 2 } d x$ ; confidence 0.983
  
210. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120080/f120080135.png ; $\Lambda _ { G } = 1$ ; confidence 0.897
+
210. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011160/a01116035.png ; $( A )$ ; confidence 0.983
  
211. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o13006047.png ; $\frac { 1 } { i } ( A _ { k } - A _ { k } ^ { * } ) = \Phi ^ { * } \sigma _ { k } \Phi$ ; confidence 0.897
+
211. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145090.png ; $l ( K - D ) > 0$ ; confidence 0.983
  
212. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018010.png ; $R \in [ 0 , \infty ]$ ; confidence 0.897
+
212. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016920/b01692064.png ; $2 ^ { n }$ ; confidence 0.983
  
213. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002010.png ; $g \neq 1$ ; confidence 0.896
+
213. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010820/a01082010.png ; $H ^ { F }$ ; confidence 0.983
  
214. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013035.png ; $Q _ { 0 } = P _ { 0 }$ ; confidence 0.896
+
214. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a1300701.png ; $\sigma ( n )$ ; confidence 0.983
  
215. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051130/i05113068.png ; $\overline { \rho } _ { L }$ ; confidence 0.896
+
215. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164065.png ; $H ^ { \prime } ( V , O _ { V } ( D + n H ) ) = 0$ ; confidence 0.983
  
216. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086940/s086940114.png ; $\operatorname { det } S \neq 0$ ; confidence 0.896
+
216. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a1201603.png ; $Z =$ ; confidence 0.983
  
217. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240363.png ; $SS _ { H }$ ; confidence 0.895
+
217. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a011380101.png ; $( ( x \sim ( y \rightarrow z ) ) \rightarrow ( x \& z ) )$ ; confidence 0.983
  
218. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300106.png ; $B$ ; confidence 0.895
+
218. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006065.png ; $f \in C ( [ 0 , T ] ; Y )$ ; confidence 0.983
  
219. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240106.png ; $t$ ; confidence 0.895
+
219. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120557.png ; $f _ { i } : X \rightarrow \overline { R }$ ; confidence 0.983
  
220. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120160/b12016030.png ; $x _ { i } ^ { \prime \prime } = x _ { i } ^ { \prime }$ ; confidence 0.895
+
220. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a1201201.png ; $( m \times n )$ ; confidence 0.983
  
221. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g043810179.png ; $\alpha f \in D ^ { \prime } ( O )$ ; confidence 0.895
+
221. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820140.png ; $( A )$ ; confidence 0.983
  
222. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047380/h047380204.png ; $\sum _ { \nu \in A } \| x _ { \nu } \| ^ { 2 } < \infty$ ; confidence 0.895
+
222. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052350/i05235072.png ; $A \cap L$ ; confidence 0.983
  
223. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051620/i05162045.png ; $\Gamma ( z ) = \frac { 1 } { e ^ { 2 i \pi z } - 1 } \int _ { L _ { 1 } } \zeta ^ { z - 1 } e ^ { - \zeta } d \zeta$ ; confidence 0.895
+
223. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028043.png ; $n - 1$ ; confidence 0.983
  
224. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085810/s0858103.png ; $\phi : U \rightarrow \sum _ { i \in I } U _ { l }$ ; confidence 0.895
+
224. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016150/b01615019.png ; $n = 6$ ; confidence 0.983
  
225. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110192.png ; $X \in \Phi$ ; confidence 0.895
+
225. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830167.png ; $\alpha \in U$ ; confidence 0.983
  
226. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016023.png ; $Q ( x ) = \frac { 1 } { 2 } \langle x , A x \rangle - \langle b , x \rangle$ ; confidence 0.895
+
226. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590647.png ; $y = y ( u , v )$ ; confidence 0.983
  
227. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007091.png ; $\sigma ^ { 0 } ( m ) / m < \sigma ^ { 0 } ( n ) / n$ ; confidence 0.894
+
227. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590101.png ; $\Gamma = \{ z \in \overline { C } : | z - \zeta | = R \}$ ; confidence 0.983
  
228. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018022.png ; $\phi ( s ) = \sum _ { n = 1 } ^ { \infty } \alpha _ { n } e ^ { - \lambda _ { n } s } , \quad s = \sigma + i t , \quad \lambda _ { n } > 0$ ; confidence 0.894
+
228. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020570/c02057067.png ; $H ^ { p } ( X , S ) = 0 , \quad p \geq 1$ ; confidence 0.983
  
229. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022022.png ; $Y$ ; confidence 0.894
+
229. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062110/m06211054.png ; $n \leq 5$ ; confidence 0.983
  
230. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016019.png ; $x _ { k + 1 } = M ^ { - 1 } ( N x _ { k } + b )$ ; confidence 0.894
+
230. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040370/f04037019.png ; $H _ { c } ^ { k } ( X , F )$ ; confidence 0.983
  
231. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014310/a01431027.png ; $\exists x A$ ; confidence 0.894
+
231. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a0114606.png ; $C ( X ) = \oplus _ { p } C ^ { p } ( X )$ ; confidence 0.983
  
232. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008029.png ; $v \in V$ ; confidence 0.893
+
232. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t1200108.png ; $1 > 1$ ; confidence 0.983
  
233. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110480/c11048046.png ; $D ^ { \perp }$ ; confidence 0.893
+
233. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024046.png ; $m \times s$ ; confidence 0.983
  
234. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110070/e110070191.png ; $f ^ { \prime } ( 1 ) = \prod _ { n > 0 } ( \frac { 1 - q ^ { 2 n } } { 1 + q ^ { 2 n } } ) ^ { 2 }$ ; confidence 0.893
+
234. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a0114501.png ; $A _ { k } ^ { 2 }$ ; confidence 0.983
  
235. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008035.png ; $\frac { f ^ { \prime } ( L ) } { f ( L ) } < \frac { g ^ { \prime } ( L ; m , s ) } { g ( L ; m , s ) } , \frac { f ^ { \prime } ( R ) } { f ( R ) } < \frac { g ^ { \prime } ( R ; m , s ) } { g ( R ; m , s ) }$ ; confidence 0.892
+
235. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110700/a11070056.png ; $M ( A ) = V \backslash N ( A )$ ; confidence 0.983
  
236. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780356.png ; $\Omega$ ; confidence 0.892
+
236. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014090/a014090219.png ; $L ( \Sigma )$ ; confidence 0.983
  
237. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024900/c02490030.png ; $q = p ^ { r }$ ; confidence 0.892
+
237. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031770/d03177042.png ; $t = t _ { 0 } = x _ { 0 } ( 0 )$ ; confidence 0.983
  
238. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023061.png ; $L \mapsto E ( L )$ ; confidence 0.892
+
238. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830344.png ; $\operatorname { rank } ( A _ { i } ) = \operatorname { rank } ( B _ { i } )$ ; confidence 0.983
  
239. 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
+
239. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032490/d03249024.png ; $s \in Z$ ; confidence 0.983
  
240. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059490/l05949032.png ; $\alpha ^ { ( 0 ) }$ ; confidence 0.892
+
240. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035490/e03549042.png ; $u = - \int _ { z } ^ { \infty } \frac { d z } { w }$ ; confidence 0.983
  
241. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064250/m064250151.png ; $\tau \cup A C \cup B C$ ; confidence 0.892
+
241. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052450/i0524507.png ; $F [ \phi ( w ) ]$ ; confidence 0.983
  
242. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086160/s0861605.png ; $J _ { m + n + 1 } ( x ) =$ ; confidence 0.892
+
242. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052660/i05266017.png ; $0 \in R ^ { 3 }$ ; confidence 0.983
  
243. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010640/a01064019.png ; $\tau _ { 2 } ( m ) = \tau ( m )$ ; confidence 0.892
+
243. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055030/k055030100.png ; $t = [ \xi _ { E } ]$ ; confidence 0.983
  
244. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050182.png ; $a ( n )$ ; confidence 0.892
+
244. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066790/n06679025.png ; $D \cap \{ x ^ { 1 } = c \}$ ; confidence 0.983
  
245. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024051.png ; $3$ ; confidence 0.891
+
245. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082350/r08235027.png ; $s : M \rightarrow F ( M )$ ; confidence 0.983
  
246. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017290/b01729042.png ; $\partial M _ { A } \subset X \subset M _ { A }$ ; confidence 0.891
+
246. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087330/s08733032.png ; $H _ { i } ( \omega )$ ; confidence 0.983
  
247. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024780/c024780261.png ; $( x ^ { 2 } / a ^ { 2 } ) + ( y ^ { 2 } / b ^ { 2 } ) = 1$ ; confidence 0.891
+
247. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130060/v13006019.png ; $j \in ( 1 / 2 ) Z$ ; confidence 0.983
  
248. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040580/f04058050.png ; $\frac { | \sigma _ { i } | } { ( \operatorname { diam } \sigma _ { i } ) ^ { n } } \geq \eta$ ; confidence 0.891
+
248. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590343.png ; $\pi _ { 1 } ( S \backslash D )$ ; confidence 0.983
  
249. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a120070106.png ; $L ( t , x , D _ { x } )$ ; confidence 0.891
+
249. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040773.png ; $( \Sigma ( P , R ) )$ ; confidence 0.983
  
250. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a1100208.png ; $n = k - \lambda$ ; confidence 0.891
+
250. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110070/a11007019.png ; $\Pi _ { p } = \cup _ { X , Y } \Pi _ { p } ( X , Y )$ ; confidence 0.983
  
251. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040127.png ; $A$ ; confidence 0.891
+
251. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025930/c02593022.png ; $( \phi ( g ) x , y ) = ( x , \psi ( g ^ { - 1 } ) y )$ ; confidence 0.983
  
252. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007019.png ; $3 ^ { 3 } .5 .79$ ; confidence 0.891
+
252. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046010/h04601030.png ; $n \geq 6$ ; confidence 0.983
  
253. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008047.png ; $u \in C ( [ 0 , T ] ; H ^ { 2 } ( \Omega ) ) \cap C ^ { 2 } ( [ 0 , T ] ; L ^ { 2 } ( \Omega ) )$ ; confidence 0.890
+
253. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110460/a11046020.png ; $F = ( \frac { \mu } { 4 \pi } ) B h v = ( \frac { \mu } { 4 \pi } ) ( \frac { B ^ { 2 } } { A } ) v ^ { 2 } = \rho v ^ { 2 } A = E A$ ; confidence 0.983
  
254. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120090/k12009012.png ; $= \frac { 2 } { \pi ^ { 2 } x _ { 0 } } \int _ { 0 } ^ { \infty } K _ { i \tau } ( x _ { 0 } ) \tau \operatorname { sinh } ( \pi \tau ) F ( \tau ) d \tau$ ; confidence 0.890
+
254. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030020/d030020120.png ; $\pi : X \rightarrow Y$ ; confidence 0.983
  
255. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420126.png ; $K _ { 0 } ( \tau ) ( [ p ] _ { 0 } - [ q ] _ { 0 } ) = \tau ( p ) - \tau ( q )$ ; confidence 0.889
+
255. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012016.png ; $x = A v \text { and } y = B v$ ; confidence 0.983
  
256. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013047.png ; $i$ ; confidence 0.889
+
256. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063010/m06301089.png ; $F ( x _ { 1 } h _ { 1 } + \ldots + x _ { n } h _ { n } ) =$ ; confidence 0.983
  
257. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600128.png ; $f _ { 1 } = \ldots = f _ { m }$ ; confidence 0.889
+
257. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a1201007.png ; $y ^ { \prime } ( t ) = - A y ( t )$ ; confidence 0.983
  
258. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085210/s08521071.png ; $\square ^ { 2 } F _ { 4 } ( q ) ^ { \prime }$ ; confidence 0.889
+
258. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011100/a01110073.png ; $f \rightarrow \phi$ ; confidence 0.983
  
259. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028067.png ; $x y \in E ( D )$ ; confidence 0.889
+
259. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120227.png ; $\Gamma ( X \backslash Y , O _ { X } )$ ; confidence 0.983
  
260. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012051.png ; $( x ^ { \prime } , y ^ { \prime } ) \in J$ ; confidence 0.889
+
260. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050114.png ; $\frac { \partial } { \partial t } U ( t , s ) v = - A ( t ) U ( t , s ) v$ ; confidence 0.983
  
261. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021022.png ; $\omega ^ { * } \overline { \pi }$ ; confidence 0.888
+
261. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120353.png ; $F ( z , \zeta ) = e ^ { z \zeta }$ ; confidence 0.983
  
262. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007094.png ; $\lambda \in S _ { \theta _ { 0 } } , \quad t , s \in [ 0 , T ]$ ; confidence 0.888
+
262. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450219.png ; $| N - q - 1 | \leq 2 g \sqrt { q }$ ; confidence 0.983
  
263. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001054.png ; $\| A \| = 10 ^ { 5 }$ ; confidence 0.887
+
263. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010038.png ; $\langle A x _ { 1 } - A x _ { 2 } , x _ { 1 } - x _ { 2 } \rangle \geq 0$ ; confidence 0.983
  
264. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020066.png ; $A \oplus B$ ; confidence 0.887
+
264. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002035.png ; $C E$ ; confidence 0.982
  
265. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027240/c02724015.png ; $x ^ { 3 } + y ^ { 3 } - 3 a x y = 0$ ; confidence 0.887
+
265. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074720/p07472027.png ; $H ^ { 1 } ( S _ { T } , \Gamma )$ ; confidence 0.982
  
266. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063140/m06314012.png ; $- \frac { \partial D } { \partial t } + \operatorname { rot } H = J$ ; confidence 0.887
+
266. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130010/s13001052.png ; $M _ { K }$ ; confidence 0.982
  
267. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072370/p07237060.png ; $\overline { \Omega } _ { k } \subset \Omega _ { k + 1 }$ ; confidence 0.887
+
267. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700313.png ; $r : X \rightarrow X _ { 1 }$ ; confidence 0.982
  
268. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076820/q076820220.png ; $E \theta ( t ) \theta ( t + u ) = \int _ { 0 } F ( t + u - v ) ( 1 - G ( t - v ) ) d m ( v )$ ; confidence 0.887
+
268. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110410/a11041073.png ; $\psi : X \rightarrow Y = \psi ( X )$ ; confidence 0.982
  
269. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096870/v09687032.png ; $\tau _ { j } < 0$ ; confidence 0.887
+
269. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020570/c0205705.png ; $[ h _ { i } , h _ { j } ] = 0$ ; confidence 0.982
  
270. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011079.png ; $A ^ { * } \sigma A = \sigma$ ; confidence 0.887
+
270. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a011300155.png ; $\Delta _ { i } ( 1 ) = \pm 1$ ; confidence 0.982
  
271. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a1200603.png ; $\Omega \subset R ^ { m }$ ; confidence 0.887
+
271. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001092.png ; $A \delta x = r$ ; confidence 0.982
  
272. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b01747034.png ; $( i i + 1 )$ ; confidence 0.886
+
272. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052016.png ; $11$ ; confidence 0.982
  
273. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120110/m12011054.png ; $\pi _ { 1 } ( M ) \neq Z _ { 2 }$ ; confidence 0.886
+
273. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300107.png ; $A , B , C \in C$ ; confidence 0.982
  
274. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075350/p075350108.png ; $P _ { n } ( R )$ ; confidence 0.886
+
274. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087080/s08708055.png ; $I ( T , \lambda ) = 2 ^ { \lambda }$ ; confidence 0.982
  
275. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096650/v0966506.png ; $n \geq 12$ ; confidence 0.886
+
275. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011480/a011480140.png ; $( x _ { 0 } )$ ; confidence 0.982
  
276. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110330/a11033014.png ; $N ^ { * } = \operatorname { card } ( U _ { n } ^ { * } ) / p$ ; confidence 0.886
+
276. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590462.png ; $D _ { \mu }$ ; confidence 0.982
  
277. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028069.png ; $x z \in E ( D )$ ; confidence 0.886
+
277. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020047.png ; $0 \rightarrow A \rightarrow B \rightarrow C \rightarrow 0$ ; confidence 0.982
  
278. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010680/a01068033.png ; $A _ { i } = \{ a _ { i } \}$ ; confidence 0.886
+
278. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a01149096.png ; $x - x 0$ ; confidence 0.982
  
279. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539036.png ; $\int _ { \Theta } L ( \theta , d ) \frac { p ( x | \theta ) \pi ( \theta ) } { p ( x ) } d \nu ( \theta ) = E [ L ( \theta , d ) | x ]$ ; confidence 0.885
+
279. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058650/l0586508.png ; $g \mapsto g ^ { - 1 }$ ; confidence 0.982
  
280. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001030.png ; $5$ ; confidence 0.885
+
280. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011100/a01110026.png ; $a + 1$ ; confidence 0.982
  
281. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110150/f11015067.png ; $t \subset v$ ; confidence 0.885
+
281. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042063.png ; $\square ^ { * }$ ; confidence 0.982
  
282. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097910/w09791036.png ; $L _ { - } ( \lambda ) C ( \lambda ) / B ( \lambda )$ ; confidence 0.885
+
282. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240281.png ; $\| d \| ^ { 2 } \sigma ^ { 2 }$ ; confidence 0.982
  
283. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110150/a11015014.png ; $\alpha ( t )$ ; confidence 0.885
+
283. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a01137088.png ; $\int _ { - \infty } ^ { + \infty } \operatorname { ln } \| \operatorname { exp } ( i t f _ { \alpha } ) \| \frac { d t } { 1 + t ^ { 2 } } < \infty$ ; confidence 0.982
  
284. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005024.png ; $u ( 0 ) = u _ { 0 }$ ; confidence 0.885
+
284. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130230/a13023032.png ; $1 \rightarrow \infty$ ; confidence 0.982
  
285. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024085.png ; $\gamma _ { i j }$ ; confidence 0.884
+
285. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d12002050.png ; $( L )$ ; confidence 0.982
  
286. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240334.png ; $\Gamma = B X$ ; confidence 0.884
+
286. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g12004074.png ; $D _ { x _ { k } } = - i \partial _ { x _ { k } }$ ; confidence 0.982
  
287. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240239.png ; $MS _ { e }$ ; confidence 0.884
+
287. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067580/n06758032.png ; $N _ { G } ( H )$ ; confidence 0.982
  
288. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110170/c11017044.png ; $C \rho _ { p } C ^ { \prime }$ ; confidence 0.884
+
288. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130080/o13008035.png ; $C _ { \varphi }$ ; confidence 0.982
  
289. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120190/c12019044.png ; $T ( M )$ ; confidence 0.884
+
289. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081430/r081430150.png ; $g e = g$ ; confidence 0.982
  
290. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055037.png ; $G = Z _ { p }$ ; confidence 0.884
+
290. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130090/r13009016.png ; $\sum _ { i = 1 } ^ { r } \alpha _ { i } \sigma ( w ^ { i } x + \theta _ { i } )$ ; confidence 0.982
  
291. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057610/l05761045.png ; $m < n ^ { ( 1 / 3 ) - \delta }$ ; confidence 0.883
+
291. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085360/s0853606.png ; $\operatorname { dim } K$ ; confidence 0.982
  
292. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130180/m130180141.png ; $H _ { n - 2 }$ ; confidence 0.883
+
292. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093670/t09367085.png ; $r < | w | < 1$ ; confidence 0.982
  
293. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060134.png ; $K _ { 0 } > 1$ ; confidence 0.883
+
293. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a1300704.png ; $\sigma ( n ) > 2 n$ ; confidence 0.982
  
294. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010293.png ; $\leq k ( T ) _ { 1 \leq r \leq m - 1,1 \leq i \leq p } \frac { | f ^ { ( r ) } ( \lambda _ { i } ) - g ^ { ( r ) } ( \lambda _ { i } ) | } { r ! } m _ { i }$ ; confidence 0.883
+
294. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a130180115.png ; $R \subseteq U \times U$ ; confidence 0.982
  
295. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a130070111.png ; $U _ { a }$ ; confidence 0.882
+
295. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700271.png ; $\phi _ { i } : V \rightarrow V$ ; confidence 0.982
  
296. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780207.png ; $e ^ { x _ { i } } - 1$ ; confidence 0.882
+
296. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h047690118.png ; $n = 2 k - 1$ ; confidence 0.982
  
297. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026910/c02691013.png ; $\Gamma ( C ) = V$ ; confidence 0.882
+
297. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120110/a12011031.png ; $T ( 1 , n ) = 2 ^ { n }$ ; confidence 0.982
  
298. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650262.png ; $K ( T M ^ { g } ) \otimes C \rightarrow C$ ; confidence 0.882
+
298. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r07764058.png ; $X = C ^ { 2 } / G \subset C ^ { 3 }$ ; confidence 0.982
  
299. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110140/l11014038.png ; $\epsilon$ ; confidence 0.882
+
299. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008022.png ; $L < R$ ; confidence 0.982
  
300. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120040/s120040132.png ; $\lambda ^ { s _ { \mu } } = \sum _ { \nu } c _ { \lambda \mu } ^ { \nu } s _ { \nu }$ ; confidence 0.882
+
300. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q07631061.png ; $\phi : \mathfrak { g } \rightarrow \mathfrak { g } \otimes \mathfrak { g }$ ; confidence 0.982

Latest revision as of 09:58, 17 October 2019

List

1. a011460115.png ; $n \leq 2$ ; confidence 0.987

2. l05848094.png ; $Y \mapsto X Y$ ; confidence 0.987

3. r08103026.png ; $W _ { k } ( S , G )$ ; confidence 0.987

4. a11040020.png ; $X ^ { \odot } = \{ x ^ { * } \in X ^ { * }$ ; confidence 0.987

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

33. j05427035.png ; $H ( F _ { n } , J _ { 1 } )$ ; confidence 0.987

34. a0101807.png ; $| z - b | \leq \rho$ ; confidence 0.987

35. a130050210.png ; $G _ { K }$ ; confidence 0.987

36. c02347047.png ; $m _ { i j } ^ { \alpha } ( g )$ ; confidence 0.987

37. p07472075.png ; $( x y ) ^ { \gamma } = x ^ { \gamma } y ^ { \gamma }$ ; confidence 0.987

38. a01046072.png ; $\sum _ { n = 0 } ^ { \infty } P _ { n } ( x )$ ; confidence 0.987

39. a12016051.png ; $X ( t )$ ; confidence 0.987

40. h04797067.png ; $H ^ { n } ( G , K )$ ; confidence 0.987

41. a11016091.png ; $A x = \lambda x$ ; confidence 0.987

42. a11004049.png ; $d _ { 1 } d _ { 2 } = \operatorname { deg } \lambda$ ; confidence 0.987

43. s085590379.png ; $x _ { 0 } ^ { 4 } + x _ { 1 } ^ { 3 } + x _ { 2 } ^ { 2 } + \ldots + x _ { n } ^ { 2 } = 0$ ; confidence 0.987

44. a130040747.png ; $\Sigma ( P , R )$ ; confidence 0.987

45. a12007070.png ; $K _ { 1 } > 0$ ; confidence 0.987

46. a01055031.png ; $g x = x$ ; confidence 0.987

47. t09290043.png ; $( G , B , N , S )$ ; confidence 0.987

48. a01121054.png ; $\alpha \geq 0$ ; confidence 0.986

49. a12017047.png ; $\Phi ( x )$ ; confidence 0.986

50. a130060123.png ; $\lambda = \lambda _ { G } = 1 / Z _ { G } ( q ^ { - 1 } )$ ; confidence 0.986

51. a130070109.png ; $\sigma ^ { * } ( n )$ ; confidence 0.986

52. c11008039.png ; $f ^ { - 1 }$ ; confidence 0.986

53. n06690059.png ; $H ^ { 0 } ( G , A ) = H ^ { 0 } ( C ^ { * } ( G , A ) )$ ; confidence 0.986

54. a014170130.png ; $X \times V \rightarrow X$ ; confidence 0.986

55. n066900124.png ; $H ^ { 2 } ( G , A )$ ; confidence 0.986

56. a11001023.png ; $( A + \delta A ) ( x + \delta x ) = b + \delta b$ ; confidence 0.986

57. a01097011.png ; $O M$ ; confidence 0.986

58. a11017037.png ; $\dot { \phi } ( X , t )$ ; confidence 0.986

59. a1100406.png ; $q = h ^ { 1 } ( A , O _ { A } ) = 2$ ; confidence 0.986

60. a11016081.png ; $M = M _ { 1 } M _ { 2 }$ ; confidence 0.986

61. l05859083.png ; $\operatorname { exp } : L ( G ) \rightarrow G$ ; confidence 0.986

62. s085590482.png ; $( \frac { \partial F ( x , y , \lambda ) } { \partial x } , \frac { \partial F ( x , y , \lambda ) } { \partial y } )$ ; confidence 0.986

63. a01093033.png ; $\frac { \partial \omega } { \partial t } = \Delta \omega - 2 ( \frac { \partial \psi } { \partial y } \frac { \partial \omega } { \partial x } - \frac { \partial \psi } { \partial x } \frac { \partial \omega } { \partial y } )$ ; confidence 0.986

64. a130240415.png ; $f ( \Theta )$ ; confidence 0.986

65. a01022020.png ; $\epsilon > 0$ ; confidence 0.986

66. a01046011.png ; $1$ ; confidence 0.986

67. l05851053.png ; $\alpha , \beta \in \Sigma$ ; confidence 0.986

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

85. a110010177.png ; $B \rightarrow ( A ^ { T } A ) ^ { - 1 } A ^ { T }$ ; confidence 0.986

86. p07464037.png ; $B \rightarrow G$ ; confidence 0.986

87. d034120514.png ; $\prod _ { \alpha } F _ { \alpha }$ ; confidence 0.986

88. a011380124.png ; $( \mathfrak { A } \rightarrow \mathfrak { B } ) = 1$ ; confidence 0.986

89. a130040118.png ; $\varphi \rightarrow \psi \in T$ ; confidence 0.986

90. a13004018.png ; $\varphi \in Fm$ ; confidence 0.986

91. a12013049.png ; $\theta _ { n } = \theta _ { n - 1 } - \gamma _ { n } \Gamma H ( \theta _ { n - 1 } , X _ { n } )$ ; confidence 0.986

92. a110040103.png ; $C = f ^ { - 1 } ( H )$ ; confidence 0.986

93. q0763108.png ; $\epsilon : A \rightarrow k$ ; confidence 0.986

94. i05235024.png ; $f ( x , y ) = a x ^ { 2 } + 2 b x y + c y ^ { 2 }$ ; confidence 0.986

95. p07472041.png ; $\Gamma = \Gamma _ { \alpha , S }$ ; confidence 0.986

96. a110010136.png ; $\| ( A + \delta A ) ^ { + } \| _ { 2 } = \frac { 1 } { \sigma _ { r } ( A + \delta A ) }$ ; confidence 0.986

97. d03070097.png ; $( S , \delta )$ ; confidence 0.985

98. a01110020.png ; $\vec { a b } + \vec { b c } + \vec { c a } = \vec { 0 }$ ; confidence 0.985

99. a01080028.png ; $= B ( \Delta T ( Z , X ) , Y ) , \quad \Delta T = T - T$ ; confidence 0.985

100. a12008048.png ; $f \in C ( [ 0 , T ] ; V )$ ; confidence 0.985

101. a11004021.png ; $h ^ { 0 } ( A , L ) = \frac { 1 } { 2 } ( L ^ { 2 } ) = d$ ; confidence 0.985

102. a11049010.png ; $R _ { D } \subset L _ { 0 } ( X )$ ; confidence 0.985

103. a13008070.png ; $2 s = R - L$ ; confidence 0.985

104. h04797068.png ; $\mu = \Delta ^ { * }$ ; confidence 0.985

105. a01121027.png ; $x \rightarrow + \infty$ ; confidence 0.985

106. a1101606.png ; $( n \times n )$ ; confidence 0.985

107. r07764037.png ; $h ^ { 1 } ( O _ { Z } ) = 0$ ; confidence 0.985

108. a130040229.png ; $\wedge \Gamma \approx \Delta \rightarrow \varphi \approx \psi$ ; confidence 0.985

109. a11016050.png ; $Q ( x _ { k } + \alpha _ { k } r _ { k } )$ ; confidence 0.985

110. a01022023.png ; $p = 1$ ; confidence 0.985

111. a011600156.png ; $A _ { m } / H _ { m }$ ; confidence 0.985

112. a011600149.png ; $\alpha \equiv 1$ ; confidence 0.985

113. a12007072.png ; $\| \frac { \partial } { \partial t } ( \lambda - A ( t ) ) ^ { - 1 } \| \leq \frac { K _ { 1 } } { ( 1 + | \lambda | ) ^ { \rho } }$ ; confidence 0.985

114. c02372058.png ; $\Gamma = \{ z \in \overline { C } : | z | = 1 \}$ ; confidence 0.985

115. l05843089.png ; $\mathfrak { g } _ { \alpha } \neq 0$ ; confidence 0.985

116. h047970126.png ; $( A , m , e , \mu , \epsilon )$ ; confidence 0.985

117. m064510123.png ; $\overline { M } \backslash M$ ; confidence 0.985

118. a01020051.png ; $( R , \mu ]$ ; confidence 0.985

119. n0669009.png ; $C ^ { 2 }$ ; confidence 0.985

120. d034120321.png ; $\Lambda \equiv 0$ ; confidence 0.985

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

146. a130040221.png ; $E ( x , y ) = \{ \epsilon _ { i } ( x , y ) : i \in I \}$ ; confidence 0.985

147. a01146096.png ; $C _ { \tau } ( X ) \cap C ^ { 1 } ( X )$ ; confidence 0.985

148. a01093024.png ; $\Delta \omega = 2 ( \frac { \partial \psi } { \partial y } \frac { \partial \omega } { \partial x } - \frac { \partial \psi } { \partial x } \frac { \partial \omega } { \partial y } )$ ; confidence 0.985

149. a13004017.png ; $\Gamma , \Delta \subseteq Fm$ ; confidence 0.985

150. h04769070.png ; $f$ ; confidence 0.985

151. a01012052.png ; $\{ \lambda _ { k } \}$ ; confidence 0.985

152. a130240202.png ; $q \times m$ ; confidence 0.985

153. l05848036.png ; $( G ) \rightarrow L ( G )$ ; confidence 0.985

154. d030700138.png ; $O \rightarrow \Lambda$ ; confidence 0.985

155. a011380178.png ; $\{ x + y , 1 , x \& y \}$ ; confidence 0.985

156. c02056028.png ; $\phi : G \rightarrow G ^ { \prime }$ ; confidence 0.985

157. d030700297.png ; $D ( A \times I )$ ; confidence 0.985

158. n06690015.png ; $\delta : C ^ { 1 } \rightarrow C ^ { 2 }$ ; confidence 0.985

159. a130040278.png ; $\Gamma \cup \{ \varphi , \psi \} \subseteq Fm$ ; confidence 0.985

160. s085590383.png ; $x _ { 0 } ^ { 5 } + x _ { 1 } ^ { 3 } + x _ { 2 } ^ { 2 } + \ldots + x _ { n } ^ { 2 } = 0$ ; confidence 0.985

161. a010820105.png ; $\alpha = G ( \alpha ^ { \prime } ) \phi$ ; confidence 0.985

162. a1300705.png ; $\sigma ( n ) < 2 n$ ; confidence 0.984

163. a110680209.png ; $n \geq 4$ ; confidence 0.984

164. n06690021.png ; $Z ^ { 1 } = \delta ^ { - 1 } ( e ) \subseteq C ^ { 1 }$ ; confidence 0.984

165. h047410135.png ; $( \dot { x } , \dot { y } )$ ; confidence 0.984

166. n06690095.png ; $\rightarrow H ^ { 1 } ( G , B ) \rightarrow H ^ { 1 } ( G , A )$ ; confidence 0.984

167. a01058012.png ; $\frac { d \Omega ( x , t ) } { d x } = f _ { y } ( x , y ( x ) ) \Omega ( x , t )$ ; confidence 0.984

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

169. a110010235.png ; $j \neq i | \lambda _ { i } - \lambda _ { j } | < 2 \psi$ ; confidence 0.984

170. f040820114.png ; $f ( Z )$ ; confidence 0.984

171. s085590559.png ; $\lambda _ { 1 } \lambda _ { 2 } > 0$ ; confidence 0.984

172. s08302022.png ; $\lambda _ { 1 } \lambda _ { 2 } < 0$ ; confidence 0.984

173. a01138019.png ; $x = 1$ ; confidence 0.984

174. a12012064.png ; $\lambda ^ { * } = \lambda ( x ^ { * } , y ^ { * } )$ ; confidence 0.984

175. a11040090.png ; $x ^ { * } \in X ^ { * }$ ; confidence 0.984

176. a01149060.png ; $P _ { k } ( x _ { 0 } ) = 0$ ; confidence 0.984

177. a01152012.png ; $G , V$ ; confidence 0.984

178. a011370131.png ; $C ( Y )$ ; confidence 0.984

179. e03530041.png ; $J _ { m } ( \lambda )$ ; confidence 0.984

180. a12022039.png ; $S < T$ ; confidence 0.984

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

199. s0853408.png ; $s _ { \alpha } \geq 1$ ; confidence 0.984

200. t120200179.png ; $\operatorname { Re } G _ { 1 } ( r ) \geq B$ ; confidence 0.984

201. a0109908.png ; $k = f ( s )$ ; confidence 0.984

202. a0101202.png ; $f ^ { ( n ) } ( \lambda _ { n } ) = A _ { n }$ ; confidence 0.984

203. a01018033.png ; $B , s _ { 1 } , \alpha$ ; confidence 0.984

204. a01174024.png ; $n \geq 2$ ; confidence 0.984

205. a01121086.png ; $w ^ { \prime \prime } + \lambda ^ { 2 } q ( x ) w = 0$ ; confidence 0.984

206. a11030022.png ; $\Omega X$ ; confidence 0.984

207. a12006046.png ; $0 \leq t _ { 1 } \leq t _ { k } \leq T$ ; confidence 0.984

208. a11006043.png ; $s \rightarrow \infty$ ; confidence 0.984

209. a12010064.png ; $\int _ { \Omega } u \Delta u d x = \int _ { \partial \Omega } u \frac { \partial u } { \partial \eta } d \sigma - \int _ { \Omega } | \operatorname { grad } u | ^ { 2 } d x$ ; confidence 0.983

210. a01116035.png ; $( A )$ ; confidence 0.983

211. a01145090.png ; $l ( K - D ) > 0$ ; confidence 0.983

212. b01692064.png ; $2 ^ { n }$ ; confidence 0.983

213. a01082010.png ; $H ^ { F }$ ; confidence 0.983

214. a1300701.png ; $\sigma ( n )$ ; confidence 0.983

215. a01164065.png ; $H ^ { \prime } ( V , O _ { V } ( D + n H ) ) = 0$ ; confidence 0.983

216. a1201603.png ; $Z =$ ; confidence 0.983

217. a011380101.png ; $( ( x \sim ( y \rightarrow z ) ) \rightarrow ( x \& z ) )$ ; confidence 0.983

218. a12006065.png ; $f \in C ( [ 0 , T ] ; Y )$ ; confidence 0.983

219. d034120557.png ; $f _ { i } : X \rightarrow \overline { R }$ ; confidence 0.983

220. a1201201.png ; $( m \times n )$ ; confidence 0.983

221. f040820140.png ; $( A )$ ; confidence 0.983

222. i05235072.png ; $A \cap L$ ; confidence 0.983

223. a11028043.png ; $n - 1$ ; confidence 0.983

224. b01615019.png ; $n = 6$ ; confidence 0.983

225. d031830167.png ; $\alpha \in U$ ; confidence 0.983

226. s085590647.png ; $y = y ( u , v )$ ; confidence 0.983

227. s085590101.png ; $\Gamma = \{ z \in \overline { C } : | z - \zeta | = R \}$ ; confidence 0.983

228. c02057067.png ; $H ^ { p } ( X , S ) = 0 , \quad p \geq 1$ ; confidence 0.983

229. m06211054.png ; $n \leq 5$ ; confidence 0.983

230. f04037019.png ; $H _ { c } ^ { k } ( X , F )$ ; confidence 0.983

231. a0114606.png ; $C ( X ) = \oplus _ { p } C ^ { p } ( X )$ ; confidence 0.983

232. t1200108.png ; $1 > 1$ ; confidence 0.983

233. a13024046.png ; $m \times s$ ; confidence 0.983

234. a0114501.png ; $A _ { k } ^ { 2 }$ ; confidence 0.983

235. a11070056.png ; $M ( A ) = V \backslash N ( A )$ ; confidence 0.983

236. a014090219.png ; $L ( \Sigma )$ ; confidence 0.983

237. d03177042.png ; $t = t _ { 0 } = x _ { 0 } ( 0 )$ ; confidence 0.983

238. d031830344.png ; $\operatorname { rank } ( A _ { i } ) = \operatorname { rank } ( B _ { i } )$ ; confidence 0.983

239. d03249024.png ; $s \in Z$ ; confidence 0.983

240. e03549042.png ; $u = - \int _ { z } ^ { \infty } \frac { d z } { w }$ ; confidence 0.983

241. i0524507.png ; $F [ \phi ( w ) ]$ ; confidence 0.983

242. i05266017.png ; $0 \in R ^ { 3 }$ ; confidence 0.983

243. k055030100.png ; $t = [ \xi _ { E } ]$ ; confidence 0.983

244. n06679025.png ; $D \cap \{ x ^ { 1 } = c \}$ ; confidence 0.983

245. r08235027.png ; $s : M \rightarrow F ( M )$ ; confidence 0.983

246. s08733032.png ; $H _ { i } ( \omega )$ ; confidence 0.983

247. v13006019.png ; $j \in ( 1 / 2 ) Z$ ; confidence 0.983

248. s085590343.png ; $\pi _ { 1 } ( S \backslash D )$ ; confidence 0.983

249. a130040773.png ; $( \Sigma ( P , R ) )$ ; confidence 0.983

250. a11007019.png ; $\Pi _ { p } = \cup _ { X , Y } \Pi _ { p } ( X , Y )$ ; confidence 0.983

251. c02593022.png ; $( \phi ( g ) x , y ) = ( x , \psi ( g ^ { - 1 } ) y )$ ; confidence 0.983

252. h04601030.png ; $n \geq 6$ ; confidence 0.983

253. a11046020.png ; $F = ( \frac { \mu } { 4 \pi } ) B h v = ( \frac { \mu } { 4 \pi } ) ( \frac { B ^ { 2 } } { A } ) v ^ { 2 } = \rho v ^ { 2 } A = E A$ ; confidence 0.983

254. d030020120.png ; $\pi : X \rightarrow Y$ ; confidence 0.983

255. a12012016.png ; $x = A v \text { and } y = B v$ ; confidence 0.983

256. m06301089.png ; $F ( x _ { 1 } h _ { 1 } + \ldots + x _ { n } h _ { n } ) =$ ; confidence 0.983

257. a1201007.png ; $y ^ { \prime } ( t ) = - A y ( t )$ ; confidence 0.983

258. a01110073.png ; $f \rightarrow \phi$ ; confidence 0.983

259. d034120227.png ; $\Gamma ( X \backslash Y , O _ { X } )$ ; confidence 0.983

260. a120050114.png ; $\frac { \partial } { \partial t } U ( t , s ) v = - A ( t ) U ( t , s ) v$ ; confidence 0.983

261. d034120353.png ; $F ( z , \zeta ) = e ^ { z \zeta }$ ; confidence 0.983

262. a011450219.png ; $| N - q - 1 | \leq 2 g \sqrt { q }$ ; confidence 0.983

263. a12010038.png ; $\langle A x _ { 1 } - A x _ { 2 } , x _ { 1 } - x _ { 2 } \rangle \geq 0$ ; confidence 0.983

264. a12002035.png ; $C E$ ; confidence 0.982

265. p07472027.png ; $H ^ { 1 } ( S _ { T } , \Gamma )$ ; confidence 0.982

266. s13001052.png ; $M _ { K }$ ; confidence 0.982

267. d030700313.png ; $r : X \rightarrow X _ { 1 }$ ; confidence 0.982

268. a11041073.png ; $\psi : X \rightarrow Y = \psi ( X )$ ; confidence 0.982

269. c0205705.png ; $[ h _ { i } , h _ { j } ] = 0$ ; confidence 0.982

270. a011300155.png ; $\Delta _ { i } ( 1 ) = \pm 1$ ; confidence 0.982

271. a11001092.png ; $A \delta x = r$ ; confidence 0.982

272. a01052016.png ; $11$ ; confidence 0.982

273. a1300107.png ; $A , B , C \in C$ ; confidence 0.982

274. s08708055.png ; $I ( T , \lambda ) = 2 ^ { \lambda }$ ; confidence 0.982

275. a011480140.png ; $( x _ { 0 } )$ ; confidence 0.982

276. s085590462.png ; $D _ { \mu }$ ; confidence 0.982

277. a01020047.png ; $0 \rightarrow A \rightarrow B \rightarrow C \rightarrow 0$ ; confidence 0.982

278. a01149096.png ; $x - x 0$ ; confidence 0.982

279. l0586508.png ; $g \mapsto g ^ { - 1 }$ ; confidence 0.982

280. a01110026.png ; $a + 1$ ; confidence 0.982

281. a11042063.png ; $\square ^ { * }$ ; confidence 0.982

282. a130240281.png ; $\| d \| ^ { 2 } \sigma ^ { 2 }$ ; confidence 0.982

283. a01137088.png ; $\int _ { - \infty } ^ { + \infty } \operatorname { ln } \| \operatorname { exp } ( i t f _ { \alpha } ) \| \frac { d t } { 1 + t ^ { 2 } } < \infty$ ; confidence 0.982

284. a13023032.png ; $1 \rightarrow \infty$ ; confidence 0.982

285. d12002050.png ; $( L )$ ; confidence 0.982

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

287. n06758032.png ; $N _ { G } ( H )$ ; confidence 0.982

288. o13008035.png ; $C _ { \varphi }$ ; confidence 0.982

289. r081430150.png ; $g e = g$ ; confidence 0.982

290. r13009016.png ; $\sum _ { i = 1 } ^ { r } \alpha _ { i } \sigma ( w ^ { i } x + \theta _ { i } )$ ; confidence 0.982

291. s0853606.png ; $\operatorname { dim } K$ ; confidence 0.982

292. t09367085.png ; $r < | w | < 1$ ; confidence 0.982

293. a1300704.png ; $\sigma ( n ) > 2 n$ ; confidence 0.982

294. a130180115.png ; $R \subseteq U \times U$ ; confidence 0.982

295. d030700271.png ; $\phi _ { i } : V \rightarrow V$ ; confidence 0.982

296. h047690118.png ; $n = 2 k - 1$ ; confidence 0.982

297. a12011031.png ; $T ( 1 , n ) = 2 ^ { n }$ ; confidence 0.982

298. r07764058.png ; $X = C ^ { 2 } / G \subset C ^ { 3 }$ ; confidence 0.982

299. a13008022.png ; $L < R$ ; confidence 0.982

300. q07631061.png ; $\phi : \mathfrak { g } \rightarrow \mathfrak { g } \otimes \mathfrak { g }$ ; confidence 0.982

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/9. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/9&oldid=43937