Namespaces
Variants
Actions

Difference between revisions of "User:Maximilian Janisch/latexlist/latex/10"

From Encyclopedia of Mathematics
Jump to: navigation, search
(AUTOMATIC EDIT of page 10 out of 11 with 300 lines: Updated image/latex database (currently 3083 images latexified; order by Confidence, ascending: False.)
 
(AUTOMATIC EDIT of page 10 out of 35 with 300 lines: Updated image/latex database (currently 10225 images latexified; order by Confidence, ascending: False.)
 
(7 intermediate revisions by the same user not shown)
Line 1: Line 1:
 
== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085620/s085620184.png ; $$f _ { t } = h _ { t } \circ f _ { 0 } \circ k _ { t }$$ ; confidence 0.837
+
1. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095410/u09541025.png ; $U _ { n } ( k )$ ; confidence 0.982
  
2. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130360/s13036039.png ; $$\int _ { 0 } ^ { t } I _ { \partial D } ( Y _ { s } ) d l _ { s } = 1 _ { t }$$ ; confidence 0.676
+
2. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029059.png ; $\pi x$ ; confidence 0.982
  
3. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120150/s120150139.png ; $$\varphi H G$$ ; confidence 0.652
+
3. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121039.png ; $z ^ { 1 / 4 }$ ; confidence 0.982
  
4. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085790/s08579085.png ; $$\sum _ { l = 1 } ^ { \infty } \frac { \operatorname { ln } q + 1 } { q l }$$ ; confidence 0.755
+
4. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a011380177.png ; $\{ x \vee y , x \}$ ; confidence 0.982
  
5. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085810/s0858103.png ; $$\phi : U \rightarrow \sum _ { i \in I } U _ { l }$$ ; confidence 0.895
+
5. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081067.png ; $U _ { k } ( y ) \equiv \sum _ { p = 1 } ^ { n } [ \alpha _ { k p } y ^ { ( p - 1 ) } ( t _ { 0 } ) + \beta _ { k p } y ^ { ( p - 1 ) } ( t _ { 1 } ) ]$ ; confidence 0.982
  
6. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085820/s085820238.png ; $$b ( x ) < 0$$ ; confidence 1.000
+
6. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046066.png ; $P ( x + \xi h ) = \sum _ { \nu = 0 } ^ { m } P _ { \nu } ( x , h ) \xi ^ { \nu }$ ; confidence 0.982
  
7. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085830/s08583016.png ; $$| w | = \rho < 1$$ ; confidence 0.874
+
7. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018060.png ; $\sigma > \sigma _ { 1 }$ ; confidence 0.982
  
8. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086020/s08602026.png ; $$\overline { D ^ { + } } = D ^ { + } \cup \Gamma$$ ; confidence 0.709
+
8. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a01137037.png ; $f \in C ( X )$ ; confidence 0.982
  
9. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120180/s12018056.png ; $$M = M ^ { \perp \perp }$$ ; confidence 0.970
+
9. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a01160024.png ; $x + y \sqrt { D }$ ; confidence 0.981
  
10. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086160/s0861605.png ; $$J _ { m + n + 1 } ( x ) =$$ ; confidence 0.892
+
10. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031640/d03164028.png ; $( F , V )$ ; confidence 0.981
  
11. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086190/s086190182.png ; $$s \in E ^ { n }$$ ; confidence 0.570
+
11. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600196.png ; $K / k$ ; confidence 0.981
  
12. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086330/s086330106.png ; $$\| x \| ^ { 2 } = \int _ { \sigma ( A ) } | f _ { \lambda } ( x ) | ^ { 2 } d \rho ( \lambda )$$ ; confidence 0.635
+
12. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050153.png ; $\zeta _ { G } ( z )$ ; confidence 0.981
  
13. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086330/s08633021.png ; $$\sigma _ { d x } ( A )$$ ; confidence 0.138
+
13. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001060.png ; $| \delta A | \leq \epsilon | A |$ ; confidence 0.981
  
14. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086330/s08633098.png ; $$A \Phi \subset \Phi$$ ; confidence 0.973
+
14. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010021.png ; $C ( X )$ ; confidence 0.981
  
15. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086360/s086360102.png ; $$B ( r ) = \int _ { 0 } ^ { \infty } J _ { 0 } ( \lambda r ) d F ( \lambda )$$ ; confidence 0.998
+
15. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010201.png ; $| \delta \lambda _ { i } | \leq k ( T ) \| \delta A \|$ ; confidence 0.981
  
16. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086380/s0863808.png ; $$s _ { 1 } - t _ { 1 } = s _ { 2 } - t _ { 2 }$$ ; confidence 0.998
+
16. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058760/l05876017.png ; $\xi _ { i j } ( x ) = \partial f _ { j } / \partial g ( e , x )$ ; confidence 0.981
  
17. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086450/s08645013.png ; $$A _ { \delta }$$ ; confidence 0.997
+
17. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007066.png ; $C _ { 2 } > 0$ ; confidence 0.981
  
18. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086480/s0864803.png ; $$E | X ( t ) | ^ { n } \leq C < \infty$$ ; confidence 0.578
+
18. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130120/a13012050.png ; $A _ { 1 } ( s )$ ; confidence 0.981
  
19. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086490/s086490118.png ; $$d ^ { \prime }$$ ; confidence 0.445
+
19. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040119.png ; $\psi \rightarrow \varphi \in T$ ; confidence 0.981
  
20. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086520/s08652091.png ; $$| T | _ { p }$$ ; confidence 0.714
+
20. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g13002012.png ; $( d / d z ) e ^ { z } = e ^ { z }$ ; confidence 0.981
  
21. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086520/s086520138.png ; $$\theta _ { T } = \theta$$ ; confidence 0.989
+
21. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110410/a11041069.png ; $u , v > 0$ ; confidence 0.981
  
22. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086550/s0865507.png ; $$B _ { N } A ( B _ { N } ( \lambda - \lambda _ { 0 } ) )$$ ; confidence 0.980
+
22. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052067.png ; $\eta ^ { \prime } = f _ { y } ( x , y ) \eta + S$ ; confidence 0.981
  
23. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086590/s08659060.png ; $$\mathfrak { p } \not p \not \sum _ { n = 1 } ^ { \infty } A _ { n }$$ ; confidence 0.075
+
23. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012059.png ; $x > 0$ ; confidence 0.981
  
24. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086620/s08662027.png ; $$\Sigma ( \Sigma ^ { n } X ) \rightarrow \Sigma ^ { n + 1 } X$$ ; confidence 0.992
+
24. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013075.png ; $( g )$ ; confidence 0.981
  
25. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086620/s08662031.png ; $$( \pi )$$ ; confidence 1.000
+
25. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013079.png ; $F _ { j k } ^ { ( l ) } : = \frac { \partial } { \partial t _ { j } } \frac { \partial } { \partial t _ { k } } \operatorname { log } ( \tau _ { l } )$ ; confidence 0.981
  
26. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086650/s086650167.png ; $$Z _ { 24 }$$ ; confidence 0.663
+
26. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010117.png ; $A x = b$ ; confidence 0.981
  
27. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086650/s08665020.png ; $$i > 2 n - 1$$ ; confidence 0.989
+
27. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130060/b13006022.png ; $\| A \| _ { \infty }$ ; confidence 0.981
  
28. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086700/s08670044.png ; $$e ^ { - k - s | / \mu } / \mu$$ ; confidence 0.763
+
28. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539011.png ; $\delta = \delta ( x )$ ; confidence 0.981
  
29. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086720/s086720108.png ; $$V ^ { 3 } = E ^ { 3 }$$ ; confidence 0.992
+
29. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017350/b01735065.png ; $K$ ; confidence 0.981
  
30. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086720/s086720109.png ; $$K ( d s ) = K$$ ; confidence 0.996
+
30. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120440/b120440103.png ; $R [ H \times H$ ; confidence 0.981
  
31. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086720/s08672038.png ; $$\pi = n \sqrt { 1 + \sum p ^ { 2 } }$$ ; confidence 0.678
+
31. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026040/c02604027.png ; $P Q$ ; confidence 0.981
  
32. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s1202309.png ; $$O ( r )$$ ; confidence 0.866
+
32. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031890/d03189028.png ; $\Delta \rightarrow 0$ ; confidence 0.981
  
33. https://www.encyclopediaofmath.org/legacyimages/s/s110/s110240/s11024022.png ; $$\lambda _ { m } ( t )$$ ; confidence 0.691
+
33. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033210/d03321058.png ; $R _ { 2 } : x ^ { \prime } \Sigma ^ { - 1 } ( \mu ^ { ( 1 ) } - \mu ^ { ( 2 ) } ) +$ ; confidence 0.981
  
34. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086770/s08677096.png ; $$5 + 7 n$$ ; confidence 0.141
+
34. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033930/d0339309.png ; $p _ { 1 } / p _ { 2 }$ ; confidence 0.981
  
35. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086810/s086810102.png ; $$f \in W _ { 2 } ^ { 3 } ( \Omega )$$ ; confidence 0.999
+
35. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120280/d120280152.png ; $A ( D ) ^ { * } \simeq A / B$ ; confidence 0.981
  
36. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086810/s08681080.png ; $$( 2 m - 2 )$$ ; confidence 1.000
+
36. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036620/e03662025.png ; $Q _ { n - j } ( z ) \equiv 0$ ; confidence 0.981
  
37. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086810/s086810108.png ; $$W _ { p } ^ { m } ( I ^ { d } )$$ ; confidence 0.958
+
37. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f12015012.png ; $\beta ( A ) : = \operatorname { codim } R ( A ) < \infty$ ; confidence 0.981
  
38. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510139.png ; $$L \subset Z ^ { 0 }$$ ; confidence 0.864
+
38. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044680/g04468042.png ; $\operatorname { grad } ( f g ) = g \operatorname { grad } f + f \operatorname { grad } g$ ; confidence 0.981
  
39. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s13051063.png ; $$\Gamma = \Gamma _ { 1 } + \ldots + \Gamma _ { m }$$ ; confidence 0.966
+
39. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048250/h04825025.png ; $O A M$ ; confidence 0.981
  
40. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510126.png ; $$\gamma ( u ) < \infty$$ ; confidence 0.997
+
40. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051770/i05177061.png ; $\psi = \sum \psi _ { i } \partial / \partial x _ { i }$ ; confidence 0.981
  
41. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086940/s086940114.png ; $$\operatorname { det } S \neq 0$$ ; confidence 0.896
+
41. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051950/i051950193.png ; $\{ \psi _ { i } ( x ) \} _ { i = 0 } ^ { n }$ ; confidence 0.981
  
42. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086940/s086940100.png ; $$- \infty \leq w \leq + \infty$$ ; confidence 0.301
+
42. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120060/l12006027.png ; $\phi \in H$ ; confidence 0.981
  
43. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086940/s086940134.png ; $$0 \leq \omega \leq \infty$$ ; confidence 0.754
+
43. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063240/m063240428.png ; $S _ { 1 } \times S _ { 2 }$ ; confidence 0.981
  
44. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086940/s08694070.png ; $$\| \eta ( \cdot ) \| ^ { 2 } = \int _ { 0 } ^ { \infty } | \eta ( t ) | ^ { 2 } d t$$ ; confidence 0.669
+
44. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065440/m06544030.png ; $E = \{ e \}$ ; confidence 0.981
  
45. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086960/s08696030.png ; $$\| x _ { 0 } \| \leq \delta$$ ; confidence 0.966
+
45. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081550/r08155085.png ; $\psi d z$ ; confidence 0.981
  
46. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086960/s08696076.png ; $$V < 0$$ ; confidence 0.854
+
46. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092980/t09298063.png ; $f \in S ( R ^ { n } )$ ; confidence 0.981
  
47. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086960/s08696095.png ; $$k \leq p \leq n$$ ; confidence 0.985
+
47. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a01160018.png ; $D > 1$ ; confidence 0.981
  
48. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087030/s0870309.png ; $$f _ { h } \in U _ { k }$$ ; confidence 0.371
+
48. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a011370108.png ; $f ( x _ { 1 } ) \neq f ( x _ { 2 } )$ ; confidence 0.981
  
49. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087030/s08703096.png ; $$\operatorname { max } _ { n \atop n } \| u ^ { n } \| _ { H } \leq e ^ { C _ { 1 } T } \{ \| \phi \| _ { H } + C _ { 0 } \sum _ { n } \tau \| f ^ { n + 1 } \| _ { H } \}$$ ; confidence 0.172
+
49. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006022.png ; $R ^ { p }$ ; confidence 0.981
  
50. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087110/s08711028.png ; $$\delta < \alpha$$ ; confidence 0.956
+
50. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a120160131.png ; $R = r _ { 1 } ( X _ { 1 } ) + r _ { 2 } ( X _ { 2 } ) - r _ { 12 } ( X _ { 12 } )$ ; confidence 0.981
  
51. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087130/s08713053.png ; $$m < \infty$$ ; confidence 0.973
+
51. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a01417027.png ; $e ^ { 2 \pi i z }$ ; confidence 0.981
  
52. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087260/s08726044.png ; $$\eta _ { 0 } ( i )$$ ; confidence 0.979
+
52. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559036.png ; $z = \phi _ { 2 } ( t )$ ; confidence 0.981
  
53. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087270/s08727063.png ; $$V _ { x } 0 ( \lambda ) \sim \operatorname { exp } [ i \lambda S ( x ^ { 0 } ) ] \sum _ { k = 0 } ^ { \infty } ( \sum _ { l = 0 } ^ { N } \alpha _ { k l } \lambda ^ { - r _ { k } } ( \operatorname { ln } \lambda ) ^ { l } \}$$ ; confidence 0.167
+
53. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640132.png ; $0 \rightarrow O _ { V } \rightarrow E _ { \alpha } \rightarrow T _ { V } \rightarrow 0$ ; confidence 0.981
  
54. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087280/s087280193.png ; $$m = E X ( s )$$ ; confidence 0.808
+
54. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004017.png ; $\infty \in H ^ { * }$ ; confidence 0.981
  
55. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087300/s08730040.png ; $$Q _ { 1 }$$ ; confidence 0.060
+
55. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g1300202.png ; $\operatorname { log } \alpha$ ; confidence 0.981
  
56. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087320/s08732031.png ; $$\Pi ^ { * } \in C$$ ; confidence 0.864
+
56. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010760/a0107601.png ; $\frac { d x } { d t } = v , \quad \frac { d v } { d t } = - \omega ^ { 2 } ( \epsilon t ) x$ ; confidence 0.981
  
57. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087320/s08732041.png ; $$\mathfrak { R } _ { \mu } ( \Pi _ { 0 } ) = \operatorname { inf } _ { \Pi } \Re _ { \mu } ( \Pi )$$ ; confidence 0.658
+
57. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018012.png ; $z - b | > R$ ; confidence 0.981
  
58. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087330/s08733032.png ; $$H _ { i } ( \omega )$$ ; confidence 0.983
+
58. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a01149045.png ; $f _ { 0 } ^ { j } ( x _ { 0 } ) = y _ { 0 } ^ { j } , \quad F ( x , f _ { 0 } ^ { j } ( x ) ) = 0$ ; confidence 0.981
  
59. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087350/s08735095.png ; $$I _ { n } ( \theta ) = n I ( \theta )$$ ; confidence 0.870
+
59. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017031.png ; $\lambda ^ { * } > 0$ ; confidence 0.981
  
60. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087360/s087360228.png ; $$P \{ s ^ { 2 } < \frac { \sigma ^ { 2 } x } { n - 1 } \} = G _ { n - 1 } ( x ) = D _ { n - 1 } \int _ { 0 } ^ { x } v ^ { ( n - 3 ) } / 2 e ^ { - v / 2 } d v$$ ; confidence 0.622
+
60. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l05851046.png ; $\alpha ( H _ { \alpha } ) = 2$ ; confidence 0.980
  
61. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087360/s087360105.png ; $$\operatorname { lim } _ { n \rightarrow \infty } P \{ \frac { \alpha - \alpha } { \sigma _ { n } ( \alpha ) } < x \} = \frac { 1 } { \sqrt { 2 \pi } } \int _ { - \infty } ^ { x } e ^ { - t ^ { 2 } / 2 } d t \equiv \Phi ( x )$$ ; confidence 0.827
+
61. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042075.png ; $\varphi , \psi : A \rightarrow B$ ; confidence 0.980
  
62. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087400/s087400105.png ; $$\in \Theta _ { 0 } \beta _ { n } ( \theta ) \leq \alpha$$ ; confidence 0.815
+
62. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150012.png ; $( x , \sqrt { f ( x ) } ) \oplus ( c , \sqrt { f ( c ) } ) = ( y , \sqrt { f ( y ) } )$ ; confidence 0.980
  
63. https://www.encyclopediaofmath.org/legacyimages/s/s110/s110260/s11026022.png ; $$\eta \in R ^ { k }$$ ; confidence 0.999
+
63. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018030.png ; $\lambda _ { n } = \operatorname { ln } n$ ; confidence 0.980
  
64. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087420/s08742011.png ; $$H = H _ { V } ( \omega )$$ ; confidence 0.988
+
64. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004079.png ; $h ( \psi ) \in F$ ; confidence 0.980
  
65. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087420/s087420178.png ; $$\mathfrak { A } _ { \infty } = \overline { U _ { V \subset R ^ { 3 } } } A ( \mathcal { H } _ { V } )$$ ; confidence 0.216
+
65. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820153.png ; $\gamma ( T ) \in C ( F ; A )$ ; confidence 0.980
  
66. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087420/s08742067.png ; $$\{ f \rangle _ { P } \sim | V |$$ ; confidence 0.071
+
66. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120240/a12024051.png ; $p \geq 0$ ; confidence 0.980
  
67. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087450/s087450224.png ; $$\frac { 1 } { 2 \pi } \sum _ { t = - T + 1 } ^ { T - 1 } e ^ { - i t \lambda } r ^ { * } ( t ) c T ( t )$$ ; confidence 0.607
+
67. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010214.png ; $x ^ { i }$ ; confidence 0.980
  
68. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087450/s087450112.png ; $$\xi = \sum b _ { j } x ( t _ { j } )$$ ; confidence 0.942
+
68. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040120.png ; $\varphi \leftrightarrow \psi \in T$ ; confidence 0.980
  
69. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087450/s087450113.png ; $$\sum b _ { j } \phi _ { l } ( t _ { j } ) = 0$$ ; confidence 0.990
+
69. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010820/a01082016.png ; $H _ { G }$ ; confidence 0.980
  
70. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087450/s087450208.png ; $$I _ { T } ( \lambda ) = \frac { 1 } { 2 \pi T } | \int _ { 0 } ^ { T } e ^ { - i t \lambda } x ( t ) d t |$$ ; confidence 0.646
+
70. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050213.png ; $A _ { 1 } = \prod _ { r < 2 } \zeta ( r ) = 2.29$ ; confidence 0.980
  
71. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087450/s087450221.png ; $$a T \rightarrow \infty$$ ; confidence 0.506
+
71. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145045.png ; $\pi = \operatorname { dim } H ^ { 1 } ( X , O _ { X } )$ ; confidence 0.980
  
72. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087450/s087450204.png ; $$\theta _ { T } ^ { * }$$ ; confidence 0.481
+
72. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240443.png ; $H _ { j } : X _ { 3 } \beta _ { j } = 0$ ; confidence 0.980
  
73. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087460/s08746026.png ; $$\{ \epsilon _ { t } \}$$ ; confidence 0.993
+
73. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024015.png ; $n > m$ ; confidence 0.980
  
74. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120240/s12024033.png ; $$h ^ { S * } ( . ) \approx \overline { E } \times ( . )$$ ; confidence 0.489
+
74. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240220.png ; $n \times n$ ; confidence 0.980
  
75. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087550/s08755019.png ; $$\alpha < p b$$ ; confidence 0.578
+
75. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120160/c12016016.png ; $j = 1 : n$ ; confidence 0.980
  
76. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087550/s08755022.png ; $$\alpha \leq p b$$ ; confidence 0.784
+
76. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022930/c0229306.png ; $\{ x _ { n } > 0 \}$ ; confidence 0.980
  
77. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087640/s08764034.png ; $$g \neq 0$$ ; confidence 1.000
+
77. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023380/c023380197.png ; $F \subset U$ ; confidence 0.980
  
78. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087640/s08764060.png ; $$I = \{ f \in O ( X ) : f ( x ) = 0 \}$$ ; confidence 0.993
+
78. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020174.png ; $( US )$ ; confidence 0.980
  
79. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087640/s08764057.png ; $$I \subset O ( X )$$ ; confidence 0.970
+
79. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030870/d03087020.png ; $C ^ { \infty } ( G )$ ; confidence 0.980
  
80. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087640/s08764086.png ; $$n ( O _ { x } ) = 0$$ ; confidence 0.322
+
80. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032010/d03201064.png ; $( x - x _ { 0 } ) / ( t - t _ { 0 } ) = u _ { 0 }$ ; confidence 0.980
  
81. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087690/s0876903.png ; $$f _ { h } ( t ) = \frac { 1 } { h } \int _ { t - k / 2 } ^ { t + k / 2 } f ( u ) d u = \frac { 1 } { h } \int _ { - k / 2 } ^ { k / 2 } f ( t + v ) d v$$ ; confidence 0.345
+
81. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048200/h0482005.png ; $Z = 1$ ; confidence 0.980
  
82. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087710/s08771037.png ; $$\omega ( R )$$ ; confidence 0.999
+
82. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048310/h0483101.png ; $\frac { \partial w } { \partial t } = A \frac { \partial w } { \partial x }$ ; confidence 0.980
  
83. https://www.encyclopediaofmath.org/legacyimages/s/s110/s110280/s11028060.png ; $$\sum _ { i = 1 } ^ { r } \alpha _ { i } \theta ( b _ { i } ) \in Z [ G ]$$ ; confidence 0.947
+
83. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058360/l05836089.png ; $S ^ { i j } = \Omega ^ { i j } + T ^ { i j }$ ; confidence 0.980
  
84. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087790/s08779013.png ; $$RP ^ { \infty }$$ ; confidence 0.165
+
84. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062620/m06262012.png ; $b \in R ^ { l - 1 }$ ; confidence 0.980
  
85. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087770/s08777049.png ; $$V _ { k } ( H ^ { n } ) = \frac { Sp ( n ) } { Sp ( n - k ) }$$ ; confidence 0.259
+
85. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075660/p075660207.png ; $\kappa : \Omega \rightarrow \Omega _ { 1 }$ ; confidence 0.980
  
86. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087780/s08778069.png ; $$x [ M ^ { n } ] = \alpha ( x )$$ ; confidence 0.933
+
86. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130130/r13013019.png ; $P _ { \sigma } ^ { 2 } = P _ { \sigma }$ ; confidence 0.980
  
87. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087780/s08778021.png ; $$w ^ { \prime }$$ ; confidence 0.380
+
87. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086550/s0865507.png ; $B _ { N } A ( B _ { N } ( \lambda - \lambda _ { 0 } ) )$ ; confidence 0.980
  
88. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087800/s08780026.png ; $$x + C$$ ; confidence 0.988
+
88. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090190/s090190160.png ; $X ( t _ { 1 } ) = x$ ; confidence 0.980
  
89. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087800/s08780044.png ; $$| u ( x _ { 1 } ) - u ( x _ { 2 } ) | \leq C | x _ { 1 } - x _ { 2 }$$ ; confidence 0.995
+
89. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032058.png ; $S ( L )$ ; confidence 0.980
  
90. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120250/s1202506.png ; $$h _ { n } = \int _ { a } ^ { b } x ^ { n } h ( x ) d x$$ ; confidence 0.183
+
90. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150728.png ; $A ^ { * } = A \cup \{ \infty _ { A } \}$ ; confidence 0.980
  
91. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087820/s08782077.png ; $$| \frac { 1 } { 1 - H \lambda _ { i } } | < 1$$ ; confidence 0.997
+
91. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097150/w0971508.png ; $\lambda = 2 \pi / | k |$ ; confidence 0.980
  
92. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087820/s087820210.png ; $$y _ { n + 1 } = y _ { n } + \int _ { 0 } ^ { H / 2 } e ^ { A \tau } d \tau \times$$ ; confidence 0.976
+
92. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097470/w09747012.png ; $x ( t _ { i } ) = x _ { 0 } ( t _ { i } )$ ; confidence 0.980
  
93. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087820/s08782061.png ; $$\alpha _ { 1 } = - 3$$ ; confidence 0.753
+
93. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012014.png ; $( h \neq 0 )$ ; confidence 0.980
  
94. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087820/s087820182.png ; $$\| y \| = \operatorname { max } _ { i } | y _ { i } |$$ ; confidence 0.800
+
94. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008025.png ; $V = H _ { 0 } ^ { 1 } ( \Omega )$ ; confidence 0.980
  
95. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090130/s09013024.png ; $$H \mapsto \alpha ( H )$$ ; confidence 0.996
+
95. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a130070128.png ; $k > 8$ ; confidence 0.980
  
96. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090130/s09013055.png ; $$K . ( H X ) = ( K H ) X$$ ; confidence 0.766
+
96. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120120.png ; $H _ { n - r } ( M ^ { n } , X ^ { * } )$ ; confidence 0.980
  
97. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120260/s12026061.png ; $$\partial _ { s }$$ ; confidence 0.939
+
97. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050236.png ; $q > 1$ ; confidence 0.980
  
98. https://www.encyclopediaofmath.org/legacyimages/s/s110/s110290/s11029032.png ; $$t / \lambda ^ { 2 } \rightarrow + \infty$$ ; confidence 0.986
+
98. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110700/a11070038.png ; $p \geq 2$ ; confidence 0.980
  
99. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090170/s09017045.png ; $$E$$ ; confidence 0.923
+
99. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022022.png ; $\| w _ { p } \| = \sqrt { \sum _ { k = 1 } ^ { p } | \omega _ { k p } | ^ { 2 } } < \epsilon$ ; confidence 0.980
  
100. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090170/s09017090.png ; $$B \in \mathfrak { B } _ { 0 }$$ ; confidence 0.992
+
100. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018036.png ; $\sigma _ { 1 } = \operatorname { Re } s _ { 1 }$ ; confidence 0.980
  
101. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090170/s0901702.png ; $$\ldots < t _ { - 1 } < t _ { 0 } \leq 0 < t _ { 1 } < t _ { 2 } <$$ ; confidence 0.500
+
101. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018021.png ; $\Gamma \subseteq \Delta$ ; confidence 0.980
  
102. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090180/s0901802.png ; $$\square \ldots < t _ { - 1 } < t _ { 0 } \leq 0 < t _ { 1 } < t _ { 2 } < \ldots$$ ; confidence 0.740
+
102. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310113.png ; $M ( C ( S ) , \alpha _ { 2 } , G _ { 2 } )$ ; confidence 0.980
  
103. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090190/s090190160.png ; $$X ( t _ { 1 } ) = x$$ ; confidence 0.980
+
103. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040550/f04055042.png ; $F ( 1 ) ( V )$ ; confidence 0.980
  
104. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090190/s09019043.png ; $$t = Z$$ ; confidence 0.971
+
104. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005063.png ; $u _ { 0 } \in D ( A ( 0 ) )$ ; confidence 0.980
  
105. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090220/s09022010.png ; $$x ( \phi )$$ ; confidence 0.999
+
105. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a110220113.png ; $f \in L ^ { 1 } ( H , m )$ ; confidence 0.980
  
106. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090230/s09023035.png ; $$\overline { w }$$ ; confidence 0.553
+
106. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120110/a12011026.png ; $T ( i , 0 ) = 0 \text { for } i \geq 1 , T ( i , 1 ) = 2 \text { for } i \geq 1$ ; confidence 0.980
  
107. 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
+
107. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097590/w09759045.png ; $E ( Q )$ ; confidence 0.980
  
108. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090260/s09026014.png ; $$d X ( t ) = a ( t ) Z ( t ) d t + d Y ( t )$$ ; confidence 0.505
+
108. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081080.png ; $n - k$ ; confidence 0.980
  
109. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090270/s0902702.png ; $$\alpha < t < b$$ ; confidence 0.786
+
109. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130120/a13012015.png ; $t > 4$ ; confidence 0.980
  
110. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090450/s09045062.png ; $$\zeta ^ { \phi } \in C ^ { d }$$ ; confidence 0.837
+
110. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797053.png ; $\{ e \} \rightarrow G$ ; confidence 0.980
  
111. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090450/s09045037.png ; $$W ^ { ( n ) } ( s )$$ ; confidence 0.986
+
111. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110490/a11049020.png ; $F \in F _ { D }$ ; confidence 0.980
  
112. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090590/s0905905.png ; $$J ( y ) \leq J ( y )$$ ; confidence 0.683
+
112. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007062.png ; $A ( 0 ) u _ { 0 } \in D _ { A ( 0 ) } ( \alpha , \infty )$ ; confidence 0.979
  
113. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120280/s1202804.png ; $$\overline { f } : X \rightarrow Y$$ ; confidence 0.998
+
113. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031640/d0316408.png ; $\omega V _ { M } ( m ) = V _ { M } ( \omega ^ { ( p ) } m )$ ; confidence 0.979
  
114. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120280/s12028015.png ; $$\overline { E } * ( X )$$ ; confidence 0.554
+
114. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640116.png ; $p _ { 12 } > 1$ ; confidence 0.979
  
115. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090670/s09067035.png ; $$j _ { X } ^ { k } ( u )$$ ; confidence 0.362
+
115. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150029.png ; $\Omega ^ { \tau } [ X ]$ ; confidence 0.979
  
116. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090710/s09071014.png ; $$f = 1$$ ; confidence 1.000
+
116. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010146.png ; $( A )$ ; confidence 0.979
  
117. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090720/s09072010.png ; $$a \neq a _ { 0 }$$ ; confidence 0.773
+
117. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e03696032.png ; $F _ { 0 } \subset F$ ; confidence 0.979
  
118. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090760/s09076059.png ; $$p ( \alpha )$$ ; confidence 0.904
+
118. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005048.png ; $| A ( t ) ( \lambda - A ( t ) ) ^ { - 1 } ( A ( t ) ^ { - 1 } - A ( s ) ^ { - 1 } ) \| \leq$ ; confidence 0.979
  
119. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090760/s09076071.png ; $$l [ f ] = 0$$ ; confidence 0.979
+
119. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a01137078.png ; $f _ { 1 } ( x ) + \ldots + f _ { n } ( x ) \equiv 1$ ; confidence 0.979
  
120. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090760/s09076026.png ; $$L _ { 0 } ^ { * } = L _ { 1 }$$ ; confidence 0.957
+
120. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g1300205.png ; $\alpha ^ { \beta } = \operatorname { exp } \{ \beta \operatorname { log } \alpha \}$ ; confidence 0.979
  
121. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090770/s090770137.png ; $$\lambda _ { 1 } < \lambda _ { 2 } < \ldots$$ ; confidence 0.830
+
121. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008075.png ; $c _ { n } = \frac { 1 } { \sqrt { n } B ( \frac { n } { 2 } , \frac { 1 } { 2 } ) } = \frac { \Gamma ( \frac { n + 1 } { 2 } ) } { \sqrt { n \pi } \Gamma ( \frac { n } { 2 } ) }$ ; confidence 0.979
  
122. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090780/s09078074.png ; $$\Phi ^ { \prime \prime } ( + 0 ) = - h$$ ; confidence 0.997
+
122. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002022.png ; $F _ { 0 } = f$ ; confidence 0.979
  
123. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130620/s13062062.png ; $$m _ { 0 } ( \lambda ) = A + \int _ { - \infty } ^ { \infty } ( \frac { 1 } { t - \lambda } - \frac { t } { t ^ { 2 } + 1 } ) d \rho _ { 0 } ( t )$$ ; confidence 0.926
+
123. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539015.png ; $\pi = \pi ( d \theta )$ ; confidence 0.979
  
124. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090820/s0908209.png ; $$X ^ { * }$$ ; confidence 0.447
+
124. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016160/b01616036.png ; $0 < c < 1$ ; confidence 0.979
  
125. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090830/s0908308.png ; $$m : B \rightarrow A$$ ; confidence 0.962
+
125. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033790/d03379012.png ; $D \backslash K$ ; confidence 0.979
  
126. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090900/s09090088.png ; $$\xi = \infty \in \partial D$$ ; confidence 0.998
+
126. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g043810238.png ; $x u = 0$ ; confidence 0.979
  
127. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090900/s09090090.png ; $$V = V ( \infty ) = \{ x \in R ^ { n } : | x | > R \}$$ ; confidence 0.624
+
127. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058660/l05866027.png ; $G \subset N ( F )$ ; confidence 0.979
  
128. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091010/s09101020.png ; $$c = \operatorname { const } \neq 0$$ ; confidence 0.470
+
128. https://www.encyclopediaofmath.org/legacyimages/l/l061/l061160/l06116099.png ; $V _ { 0 } \subset E$ ; confidence 0.979
  
129. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091070/s09107089.png ; $$P _ { \theta } ( A | B )$$ ; confidence 0.963
+
129. https://www.encyclopediaofmath.org/legacyimages/n/n110/n110010/n11001011.png ; $L _ { \infty } ( T )$ ; confidence 0.979
  
130. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091080/s09108054.png ; $$\sum _ { n < x } f ( n ) = R ( x ) + O ( x ^ { \{ ( \alpha + 1 ) ( 2 \eta - 1 ) / ( 2 \eta + 1 ) \} + \epsilon } )$$ ; confidence 0.795
+
130. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067280/n06728084.png ; $y ^ { \prime \prime \prime } = \lambda y$ ; confidence 0.979
  
131. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091100/s0911009.png ; $$\lambda _ { n } = 1 / ( n + 1 ) ^ { s }$$ ; confidence 0.931
+
131. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074860/p07486040.png ; $0 \leq s _ { 0 } \leq l$ ; confidence 0.979
  
132. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091140/s09114035.png ; $$s _ { n } \rightarrow s$$ ; confidence 0.696
+
132. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080640/r08064034.png ; $y _ { t } = A x _ { t } + \epsilon _ { t }$ ; confidence 0.979
  
133. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091140/s09114030.png ; $$\sum _ { k = 0 } ^ { \infty } \lambda _ { k } u _ { k }$$ ; confidence 0.542
+
133. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082200/r082200143.png ; $V ^ { \prime } \subset R ^ { \prime }$ ; confidence 0.979
  
134. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091200/s09120056.png ; $$\operatorname { psq } ( n ) = \operatorname { sq } ( n ) / \{ c E : c \in C \}$$ ; confidence 0.425
+
134. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087260/s08726044.png ; $\eta _ { 0 } ( i )$ ; confidence 0.979
  
135. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032058.png ; $$S ( L )$$ ; confidence 0.980
+
135. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090760/s09076071.png ; $l [ f ] = 0$ ; confidence 0.979
  
136. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091390/s09139063.png ; $$x _ { 1 } ^ { 2 } = 0$$ ; confidence 0.997
+
136. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130100/t1301005.png ; $\square _ { H } T$ ; confidence 0.979
  
137. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091390/s0913909.png ; $$\frac { x ^ { 2 } } { p } - \frac { y ^ { 2 } } { q } = 2 z$$ ; confidence 0.932
+
137. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016039.png ; $b A$ ; confidence 0.979
  
138. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091570/s09157097.png ; $$T ^ { * } Y \backslash 0$$ ; confidence 0.994
+
138. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450202.png ; $y = \psi ( z )$ ; confidence 0.979
  
139. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091580/s09158080.png ; $$\Phi ( f ( w ) ) = \sigma ( \Phi ( w ) )$$ ; confidence 0.999
+
139. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590522.png ; $x _ { 0 } \in H$ ; confidence 0.979
  
140. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091670/s09167062.png ; $$S ( B _ { n } ^ { m } )$$ ; confidence 0.719
+
140. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600223.png ; $( \alpha / \beta ) _ { n }$ ; confidence 0.979
  
141. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091730/s09173026.png ; $$H ^ { n - k } \cap S ^ { k }$$ ; confidence 0.502
+
141. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a011300163.png ; $\Delta _ { i } = 1$ ; confidence 0.979
  
142. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340135.png ; $$\alpha _ { H } ( \tilde { x } _ { + } ) - \alpha _ { H } ( \tilde { x } _ { - } ) = 1$$ ; confidence 0.404
+
142. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590646.png ; $x = x ( u , v )$ ; confidence 0.979
  
143. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091910/s09191051.png ; $$\sim \frac { 2 ^ { n } } { \operatorname { log } _ { 2 } n }$$ ; confidence 0.975
+
143. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008048.png ; $+ \frac { d } { d m } \operatorname { ln } g ( R ; m , s ) \frac { d m } { d s } + \frac { d } { d s } \operatorname { ln } g ( R ; m , s ) = 0$ ; confidence 0.979
  
144. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091910/s091910121.png ; $$T _ { i } = C A ^ { i } B ^ { i } B$$ ; confidence 0.233
+
144. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011160/a01116023.png ; $X$ ; confidence 0.979
  
145. https://www.encyclopediaofmath.org/legacyimages/s/s110/s110330/s11033016.png ; $$- 5 \rightarrow - 14 \rightarrow - 7 \rightarrow - 20 \rightarrow - 10 \rightarrow - 5$$ ; confidence 0.902
+
145. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040202.png ; $\varphi _ { L } ( A )$ ; confidence 0.979
  
146. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091960/s0919603.png ; $$R = \{ \pi ( i ) : \square i \in I \}$$ ; confidence 0.950
+
146. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700177.png ; $H ^ { 0 } ( X _ { 0 } , T _ { X _ { 0 } } ) = 0$ ; confidence 0.979
  
147. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091960/s09196011.png ; $$\{ \pi ( i ) : \square i \in I _ { 0 } \}$$ ; confidence 0.752
+
147. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011070/a01107011.png ; $M _ { 1 }$ ; confidence 0.979
  
148. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s13064057.png ; $$L ^ { 1 } ( R ) \cap L ^ { \infty } ( R )$$ ; confidence 0.831
+
148. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240520.png ; $\Sigma _ { 33 } ^ { - 1 } \Sigma _ { 32 }$ ; confidence 0.979
  
149. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120020/t12002014.png ; $$T ^ { + } = \cap _ { N > 0 } \sigma ( X _ { n } : n \geq N )$$ ; confidence 0.699
+
149. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210121.png ; $\Omega ( a )$ ; confidence 0.979
  
150. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092240/t0922406.png ; $$k = R / m$$ ; confidence 0.483
+
150. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121079.png ; $y _ { 1 } ( x ) = Y _ { 1 } ( x ) [ 1 + O ( \frac { 1 } { \lambda } ) ] + Y _ { 0 } ( x ) O ( \frac { 1 } { \lambda } )$ ; confidence 0.979
  
151. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092250/t09225012.png ; $$g ^ { ( i ) }$$ ; confidence 0.484
+
151. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095400/u09540020.png ; $K = p > 0$ ; confidence 0.978
  
152. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130040/t13004015.png ; $$( n + 1 ) a _ { n + 1 } + \alpha _ { n } = \tau$$ ; confidence 0.385
+
152. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045030/g04503014.png ; $\operatorname { lim } V _ { k } = k$ ; confidence 0.978
  
153. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130040/t13004014.png ; $$\tau x ^ { n }$$ ; confidence 0.790
+
153. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090164.png ; $E ^ { \otimes r } \rightarrow \Delta ( \lambda )$ ; confidence 0.978
  
154. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t13005033.png ; $$D _ { A } ^ { 2 } = 0$$ ; confidence 0.998
+
154. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600157.png ; $m = 1$ ; confidence 0.978
  
155. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t13005053.png ; $$\sigma ^ { \prime } ( A )$$ ; confidence 0.999
+
155. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055047.png ; $( g , x ) \rightarrow x$ ; confidence 0.978
  
156. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120030/t12003042.png ; $$\psi = \Psi ^ { \prime }$$ ; confidence 0.559
+
156. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797062.png ; $p : G \rightarrow \{ e \}$ ; confidence 0.978
  
157. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092470/t09247071.png ; $$E _ { 1 } E _ { 2 } E _ { 3 }$$ ; confidence 0.997
+
157. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059250/l05925094.png ; $| K | = 2,3$ ; confidence 0.978
  
158. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092470/t092470182.png ; $$e _ { v } \leq \mathfrak { e } _ { v } + 1$$ ; confidence 0.197
+
158. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095240/u09524012.png ; $X = \sum _ { n = 1 } ^ { \infty } X _ { n } 2 ^ { - n }$ ; confidence 0.978
  
159. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092470/t092470133.png ; $$R _ { T ^ { \prime \prime } }$$ ; confidence 0.675
+
159. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210133.png ; $g = 1$ ; confidence 0.978
  
160. https://www.encyclopediaofmath.org/legacyimages/t/t110/t110020/t11002078.png ; $$M _ { \mathscr { C } } M _ { b } M _ { \alpha ^ { \prime } } M _ { \phi }$$ ; confidence 0.076
+
160. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032490/d03249015.png ; $d ( p )$ ; confidence 0.978
  
161. https://www.encyclopediaofmath.org/legacyimages/t/t110/t110020/t11002049.png ; $$e ^ { \prime }$$ ; confidence 0.559
+
161. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077630/r07763080.png ; $\phi _ { 1 } \otimes \ldots \otimes \phi _ { d }$ ; confidence 0.978
  
162. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092530/t09253011.png ; $$( \pi | \tau _ { 1 } | \tau _ { 2 } )$$ ; confidence 0.977
+
162. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001048.png ; $( S , g )$ ; confidence 0.978
  
163. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092600/t09260017.png ; $$\theta ( z + \tau ) = \operatorname { exp } ( - 2 \pi i k z ) . \theta ( z )$$ ; confidence 0.660
+
163. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110450/c11045018.png ; $2 ^ { \lambda }$ ; confidence 0.978
  
164. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092600/t09260081.png ; $$\delta = 2$$ ; confidence 0.999
+
164. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110150/a11015012.png ; $F ( . | S )$ ; confidence 0.978
  
165. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092600/t09260032.png ; $$\operatorname { lm } A = \| \operatorname { lm } \alpha _ { \mu \nu } |$$ ; confidence 0.510
+
165. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081370/r08137017.png ; $\phi ^ { a }$ ; confidence 0.978
  
166. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092600/t092600123.png ; $$B = I _ { p }$$ ; confidence 0.852
+
166. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004098.png ; $\theta = [ \Theta$ ; confidence 0.978
  
167. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t12005046.png ; $$d f _ { x } : R ^ { n } \rightarrow R ^ { p }$$ ; confidence 0.932
+
167. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042078.png ; $4$ ; confidence 0.978
  
168. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130090/t13009023.png ; $$f ^ { - 1 } ( S )$$ ; confidence 0.998
+
168. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042072.png ; $\alpha ( \Sigma ( A ) ) \subseteq \Sigma ( B )$ ; confidence 0.978
  
169. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092650/t09265044.png ; $$c < 2$$ ; confidence 0.987
+
169. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a1201008.png ; $y ( 0 ) = x$ ; confidence 0.978
  
170. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092650/t09265019.png ; $$u x + v x ^ { 2 } + w x ^ { 3 } + t x ^ { 4 }$$ ; confidence 0.989
+
170. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a11068076.png ; $\alpha \geq b$ ; confidence 0.978
  
171. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092650/t09265033.png ; $$\{ \partial f \rangle$$ ; confidence 0.295
+
171. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120040/b12004080.png ; $T : L _ { \infty } \rightarrow L _ { \infty }$ ; confidence 0.978
  
172. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092650/t09265012.png ; $$x ^ { 3 } + x y ^ { 2 }$$ ; confidence 1.000
+
172. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539038.png ; $\delta ^ { * } ( x )$ ; confidence 0.978
  
173. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t120060116.png ; $$E ^ { Q } ( N )$$ ; confidence 0.962
+
173. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023150/c023150259.png ; $\beta \circ \beta = 0$ ; confidence 0.978
  
174. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006058.png ; $$N \geq Z$$ ; confidence 0.919
+
174. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025470/c02547031.png ; $\alpha \wedge ( d \alpha ) ^ { s } ( x ) \neq 0$ ; confidence 0.978
  
175. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092720/t09272013.png ; $$\Delta _ { i j } = \Delta _ { j i } = \sqrt { ( x _ { i } - x _ { j } ) ^ { 2 } + ( y _ { i } - y _ { j } ) ^ { 2 } + ( z _ { i } - z _ { j } ) ^ { 2 } }$$ ; confidence 0.489
+
175. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030870/d03087032.png ; $\pi ( \chi )$ ; confidence 0.978
  
176. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092730/t09273032.png ; $$M = M _ { 1 } \# M _ { 2 }$$ ; confidence 0.954
+
176. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045000/g04500031.png ; $( n \operatorname { ln } n ) / 2$ ; confidence 0.978
  
177. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120080/t12008015.png ; $$O _ { S } ^ { * }$$ ; confidence 0.936
+
177. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048300/h04830032.png ; $P _ { m } ( \xi + \tau N )$ ; confidence 0.978
  
178. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120080/t12008049.png ; $$( 5 \times 10 ^ { 6 } r ) ^ { 3 }$$ ; confidence 0.525
+
178. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063080/m06308045.png ; $f ^ { ( m ) } ( x _ { 0 } ) < 0$ ; confidence 0.978
  
179. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092800/t09280017.png ; $$X _ { ( \tau _ { 1 } + \ldots + \tau _ { j - 1 } + 1 ) } = \ldots = X _ { ( \tau _ { 1 } + \ldots + \tau _ { j } ) }$$ ; confidence 0.575
+
179. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063350/m0633503.png ; $\int _ { - 1 } ^ { 1 } \frac { 1 } { \sqrt { 1 - x ^ { 2 } } } f ( x ) d x \approx \frac { \pi } { N } \sum _ { k = 1 } ^ { N } f ( \operatorname { cos } \frac { 2 k - 1 } { 2 N } \pi )$ ; confidence 0.978
  
180. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092810/t092810186.png ; $$B s$$ ; confidence 0.576
+
180. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075400/p07540018.png ; $F \subset G$ ; confidence 0.978
  
181. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092810/t092810205.png ; $$\beta ( M )$$ ; confidence 0.995
+
181. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004056.png ; $\overline { D } = \overline { D } _ { S }$ ; confidence 0.978
  
182. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130100/t1301005.png ; $$\square _ { H } T$$ ; confidence 0.979
+
182. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083470/s08347010.png ; $D ^ { - 1 } \in \pi$ ; confidence 0.978
  
183. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014052.png ; $$( Q )$$ ; confidence 0.999
+
183. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095410/u09541052.png ; $g ^ { p } = e$ ; confidence 0.978
  
184. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t130140116.png ; $$q R$$ ; confidence 0.245
+
184. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007051.png ; $f ( t ) \in D _ { A ( t ) } ( \alpha , \infty )$ ; confidence 0.978
  
185. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t130140169.png ; $$q _ { A }$$ ; confidence 0.118
+
185. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018059.png ; $\sigma _ { k } - 1 < \beta < \sigma _ { k } < \ldots < \sigma _ { 1 }$ ; confidence 0.978
  
186. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120130/t12013055.png ; $$M = M \Lambda ^ { t }$$ ; confidence 0.505
+
186. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110150/f11015085.png ; $S ( A )$ ; confidence 0.978
  
187. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130150/t13015070.png ; $$C ^ { * } E ( S ) \otimes _ { \delta } C _ { 0 } ( S )$$ ; confidence 0.440
+
187. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007093.png ; $\alpha \leq 2$ ; confidence 0.978
  
188. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130150/t13015064.png ; $$K ( L ^ { 2 } ( S ) )$$ ; confidence 0.779
+
188. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650122.png ; $\Omega _ { f } \cup \Omega _ { p }$ ; confidence 0.978
  
189. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120150/t12015061.png ; $$( \Delta ^ { \alpha } \xi ) ^ { \# } = \Delta ^ { - \overline { \alpha } } \xi ^ { \# }$$ ; confidence 0.710
+
189. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240140.png ; $\psi = c ^ { \prime } \beta$ ; confidence 0.978
  
190. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120150/t1201505.png ; $$\eta \in A \mapsto \xi \eta \in A$$ ; confidence 0.962
+
190. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010069.png ; $u = u _ { f } \in D ( \Delta )$ ; confidence 0.978
  
191. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092980/t09298063.png ; $$f \in S ( R ^ { n } )$$ ; confidence 0.981
+
191. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006019.png ; $( b ( x ) u , u ) \geq 0$ ; confidence 0.978
  
192. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150622.png ; $$( f _ { i } : B _ { i } \rightarrow B ) _ { i \in l }$$ ; confidence 0.575
+
192. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040264.png ; $E ( x , y ) = \{ x \leftrightarrow y \}$ ; confidence 0.978
  
193. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150169.png ; $$F \in \gamma$$ ; confidence 0.994
+
193. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040176.png ; $\{ a , b \}$ ; confidence 0.977
  
194. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150743.png ; $$\left. \begin{array} { c c c } { B _ { i } } & { \stackrel { h _ { i } } { \rightarrow } } & { A _ { i } } \\ { g _ { i } \downarrow } & { \square } & { \downarrow f _ { i } } \\ { B } & { \vec { f } } & { A } \end{array} \right.$$ ; confidence 0.342
+
194. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a011370156.png ; $\rho _ { A } ( x _ { 1 } , x _ { 2 } ) < 2$ ; confidence 0.977
  
195. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150395.png ; $$A \wedge B$$ ; confidence 0.923
+
195. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010155.png ; $x + \delta x = ( A + \delta A ) ^ { + } ( b + \delta b )$ ; confidence 0.977
  
196. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150306.png ; $$= C$$ ; confidence 0.931
+
196. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120492.png ; $X ^ { \prime } = F$ ; confidence 0.977
  
197. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150450.png ; $$\operatorname { sin } 0$$ ; confidence 0.092
+
197. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010760/a0107603.png ; $\omega ( s )$ ; confidence 0.977
  
198. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150393.png ; $$\{ p _ { i } ^ { - 1 } U _ { i } : U _ { i } \in \mu _ { i \square } \text { and } i \in I \}$$ ; confidence 0.601
+
198. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012041.png ; $( I - A ) v = c$ ; confidence 0.977
  
199. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150728.png ; $$A ^ { * } = A \cup \{ \infty _ { A } \}$$ ; confidence 0.980
+
199. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797024.png ; $\iota ^ { * } : A ^ { * } \rightarrow K$ ; confidence 0.977
  
200. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093160/t09316047.png ; $$p _ { 1 } \otimes \sim p _ { 2 }$$ ; confidence 0.782
+
200. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120502.png ; $\{ H , G / H ^ { 0 } \}$ ; confidence 0.977
  
201. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093160/t09316053.png ; $$\sum _ { k = 1 } ^ { \infty } p _ { 1 } ( x _ { k } ) p _ { 2 } ( y _ { k } ) \leq p _ { 1 } \overline { Q } p _ { 2 } ( u ) + \epsilon$$ ; confidence 0.229
+
201. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004014.png ; $H ^ { L } = \{ z \in H : \operatorname { Im } z > L \} \text { for } L > 0$ ; confidence 0.977
  
202. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093180/t093180434.png ; $$D ( R ^ { n + k } )$$ ; confidence 0.995
+
202. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002021.png ; $F : X \times I \rightarrow Z$ ; confidence 0.977
  
203. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093230/t09323048.png ; $$H \rightarrow TOP$$ ; confidence 0.688
+
203. https://www.encyclopediaofmath.org/legacyimages/i/i053/i053060/i0530603.png ; $g = k a n$ ; confidence 0.977
  
204. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093230/t093230103.png ; $$\left. \begin{array} { c c c } { \square } & { \square } & { B P L } \\ { \square } & { \square } & { \downarrow } \\ { X } & { \vec { \tau } _ { X } } & { B G } \end{array} \right.$$ ; confidence 0.066
+
204. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a01146087.png ; $C _ { \tau } ( X )$ ; confidence 0.977
  
205. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093230/t09323071.png ; $$X \rightarrow P L / O$$ ; confidence 0.928
+
205. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010760/a01076026.png ; $s = \epsilon t$ ; confidence 0.977
  
206. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093260/t09326056.png ; $$d \Phi$$ ; confidence 0.791
+
206. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090322.png ; $\Lambda ( V )$ ; confidence 0.977
  
207. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093260/t09326078.png ; $$d = 6$$ ; confidence 0.998
+
207. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872010.png ; $( x + y ) ^ { [ p ] } = x ^ { [ p ] } + y ^ { [ p ] } + \Lambda _ { p } ( x , y )$ ; confidence 0.977
  
208. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093260/t09326038.png ; $$( X ) \in M$$ ; confidence 0.998
+
208. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017035.png ; $< 1$ ; confidence 0.977
  
209. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093330/t09333059.png ; $$r _ { 2 } \in R$$ ; confidence 0.862
+
209. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120180/a12018097.png ; $x = F ( x )$ ; confidence 0.977
  
210. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093340/t0933407.png ; $$S _ { j } ^ { k } = \Gamma _ { i j } ^ { k } - \Gamma _ { j i } ^ { k }$$ ; confidence 0.505
+
210. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010950/a010950117.png ; $S ( X , Y ) = \nabla _ { X } Y - \nabla _ { Y } X - [ X , Y ]$ ; confidence 0.977
  
211. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093570/t0935701.png ; $$x = \pm \alpha \operatorname { ln } \frac { \alpha + \sqrt { \alpha ^ { 2 } - y ^ { 2 } } } { y } - \sqrt { \alpha ^ { 2 } - y ^ { 2 } }$$ ; confidence 0.391
+
211. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081034.png ; $A ^ { * } ( t )$ ; confidence 0.977
  
212. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093670/t09367085.png ; $$r < | w | < 1$$ ; confidence 0.982
+
212. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420149.png ; $K _ { 0 } ( \varphi ) : K _ { 0 } ( A ) \rightarrow K _ { 0 } ( B )$ ; confidence 0.977
  
213. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093670/t09367092.png ; $$d s _ { é } = \frac { | d z | } { 1 + | z | ^ { 2 } }$$ ; confidence 0.470
+
213. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016079.png ; $1 / ( 1 - \lambda )$ ; confidence 0.977
  
214. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093670/t09367039.png ; $$\operatorname { lim } _ { \epsilon \rightarrow 0 } d ( E _ { \epsilon } ) = d ( E )$$ ; confidence 0.993
+
214. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164040.png ; $q ( V )$ ; confidence 0.977
  
215. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093710/t0937107.png ; $$x = f ( \alpha )$$ ; confidence 0.993
+
215. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680125.png ; $p / p$ ; confidence 0.977
  
216. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093770/t09377057.png ; $$\mathfrak { A } f ( x ) = \operatorname { lim } _ { U ! x } [ \frac { E _ { x } f ( x _ { \tau } ) - f ( x ) } { E _ { x } \tau } ]$$ ; confidence 0.104
+
216. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a11068053.png ; $r ^ { \prime } < r$ ; confidence 0.977
  
217. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093770/t09377067.png ; $$\mathfrak { A } f$$ ; confidence 0.742
+
217. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120030/k12003040.png ; $E = \emptyset$ ; confidence 0.977
  
218. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093770/t09377043.png ; $$R ^ { 0 } f$$ ; confidence 0.999
+
218. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059350/l059350101.png ; $X ( t ) = \operatorname { exp } ( \int _ { t _ { 0 } } ^ { t } A ( \tau ) d \tau )$ ; confidence 0.977
  
219. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093770/t09377039.png ; $$g = R ^ { \alpha } f$$ ; confidence 0.864
+
219. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062590/m06259044.png ; $V _ { [ r ] }$ ; confidence 0.977
  
220. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093860/t09386023.png ; $$P ( S )$$ ; confidence 0.765
+
220. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062620/m062620207.png ; $R _ { + } ^ { l }$ ; confidence 0.977
  
221. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093890/t09389045.png ; $$o ( N ) / N \rightarrow 0$$ ; confidence 0.792
+
221. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120040/s12004026.png ; $x ^ { T } = x _ { 1 } ^ { 3 } x _ { 2 } x _ { 3 } ^ { 2 } x _ { 4 }$ ; confidence 0.977
  
222. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093900/t093900196.png ; $$T _ { 23 } n ( \operatorname { cos } \pi \omega )$$ ; confidence 0.946
+
222. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092530/t09253011.png ; $( \pi | \tau _ { 1 } | \tau _ { 2 } )$ ; confidence 0.977
  
223. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093900/t09390073.png ; $$g _ { n } ( \Omega )$$ ; confidence 0.875
+
223. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095210/u0952109.png ; $f _ { \alpha } ( x ) \geq - c$ ; confidence 0.977
  
224. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093900/t093900115.png ; $$l \mu \frac { \partial W ^ { k } } { \partial x } + ( 1 - c ) W ^ { k } = c ( \Phi _ { 0 } ^ { k } - \phi _ { 0 } ^ { k } )$$ ; confidence 0.308
+
224. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900122.png ; $Q = U U ^ { * }$ ; confidence 0.977
  
225. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093900/t093900146.png ; $$Q _ { n } W ^ { k } = P _ { n } c ( W ^ { k } + \Phi _ { 0 } ^ { k } - \phi _ { 0 } ^ { k } )$$ ; confidence 0.976
+
225. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097510/w097510202.png ; $q \in T _ { n } ( k )$ ; confidence 0.977
  
226. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093900/t093900154.png ; $$g _ { k } = ( 1 + y _ { k } ) / 2$$ ; confidence 0.953
+
226. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130130/z1301303.png ; $x _ { 2 } = r \operatorname { sin } \theta$ ; confidence 0.977
  
227. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093980/t0939808.png ; $$V = f ^ { - 1 } ( X )$$ ; confidence 1.000
+
227. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820167.png ; $F _ { \pi } ( \overline { m } )$ ; confidence 0.977
  
228. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093990/t09399044.png ; $$Q _ { 1 } \cup \square \ldots \cup Q _ { m }$$ ; confidence 0.878
+
228. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058760/l05876024.png ; $\psi _ { k i } ( e ) = \delta _ { k i }$ ; confidence 0.977
  
229. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094000/t09400030.png ; $$f ( x ) = g ( y )$$ ; confidence 1.000
+
229. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g1300208.png ; $\operatorname { log } \alpha = i \pi$ ; confidence 0.977
  
230. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130210/t13021052.png ; $$2 / ( 3 N / 2 )$$ ; confidence 0.990
+
230. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590223.png ; $( U ^ { n } ( \zeta , R ) , f _ { \zeta } )$ ; confidence 0.977
  
231. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094240/t09424015.png ; $$\frac { a _ { 0 } } { 4 } x ^ { 2 } - \sum _ { k = 1 } ^ { \infty } \frac { a _ { k } \operatorname { cos } k x + b _ { k } \operatorname { sin } k x } { k ^ { 2 } }$$ ; confidence 0.667
+
231. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016081.png ; $A V i / P = x$ ; confidence 0.977
  
232. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094300/t094300134.png ; $$\operatorname { Fix } ( T ) \subset \mathfrak { R }$$ ; confidence 0.710
+
232. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060118.png ; $Z _ { G } ( y ) = \sum _ { r = 0 } ^ { \infty } G ^ { \# } ( r ) y ^ { r }$ ; confidence 0.977
  
233. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094300/t09430077.png ; $$\left. \begin{array} { c c c } { T A } & { \stackrel { T f } { S } } & { T B } \\ { \alpha \downarrow } & { \square } & { \downarrow \beta } \\ { A } & { \vec { f } } & { B } \end{array} \right.$$ ; confidence 0.204
+
233. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590525.png ; $( a x + b y ) d y = ( c x + e y ) d x$ ; confidence 0.977
  
234. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094420/t09442025.png ; $$\overline { U } / \partial \overline { U }$$ ; confidence 0.976
+
234. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700197.png ; $H ^ { 2 } ( X _ { 0 } , T _ { X _ { 0 } } ) = 0$ ; confidence 0.977
  
235. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094440/t09444040.png ; $$u _ { m } = u ( M _ { m } )$$ ; confidence 0.360
+
235. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010860/a01086014.png ; $x ( \phi ) = x ( \phi )$ ; confidence 0.977
  
236. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200142.png ; $$m > - 1$$ ; confidence 0.998
+
236. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130140/a13014042.png ; $X \geq 3$ ; confidence 0.977
  
237. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200179.png ; $$\operatorname { Re } G _ { 1 } ( r ) \geq B$$ ; confidence 0.984
+
237. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016048.png ; $g ( W )$ ; confidence 0.977
  
238. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094530/t094530109.png ; $$\sum ( k _ { i } - 1 )$$ ; confidence 0.930
+
238. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046025.png ; $y ^ { \prime } ( f ( x + \xi h ) )$ ; confidence 0.977
  
239. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094540/t09454051.png ; $$\{ \omega _ { n } ^ { + } ( V ) \}$$ ; confidence 0.949
+
239. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600257.png ; $A _ { 1 } / L _ { 1 }$ ; confidence 0.977
  
240. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094600/t09460022.png ; $$f _ { 0 } \neq 0$$ ; confidence 0.997
+
240. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120383.png ; $F ^ { * } ( z )$ ; confidence 0.977
  
241. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094600/t0946003.png ; $$\alpha \geq A _ { 0 }$$ ; confidence 0.904
+
241. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539053.png ; $\rho ( \pi , \delta ) = \int _ { X } [ \pi _ { 1 } p ( x | \theta _ { 1 } ) L ( \theta _ { 1 } , \delta ( x ) ) +$ ; confidence 0.977
  
242. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094650/t09465038.png ; $$\forall v \phi$$ ; confidence 0.989
+
242. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007091.png ; $| A ( t ) ( \lambda - A ( t ) ) ^ { - 1 } \frac { d A ( t ) ^ { - 1 } } { d t } +$ ; confidence 0.977
  
243. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094650/t09465066.png ; $$\in M$$ ; confidence 0.717
+
243. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820148.png ; $F \mapsto C ( F ; A )$ ; confidence 0.977
  
244. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094650/t09465036.png ; $$( \phi \& \psi )$$ ; confidence 0.997
+
244. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011100/a01110054.png ; $A _ { 1 }$ ; confidence 0.977
  
245. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094660/t09466060.png ; $$\{ f ( z ) \}$$ ; confidence 1.000
+
245. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110410/a11041082.png ; $\tau > n / 2 + 1$ ; confidence 0.977
  
246. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094660/t09466020.png ; $$\phi ( z ) = \frac { 1 - z ^ { 2 } } { z } f ( z ) \in C$$ ; confidence 0.993
+
246. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a01130054.png ; $M ( k )$ ; confidence 0.977
  
247. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095070/u09507044.png ; $$T ( X ) = \left\{ \begin{array} { l l } { 1 } & { \text { if } X = 1 } \\ { 0 } & { \text { if } X \geq 2 } \end{array} \right.$$ ; confidence 0.976
+
247. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018012.png ; $1$ ; confidence 0.977
  
248. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095210/u0952109.png ; $$f _ { \alpha } ( x ) \geq - c$$ ; confidence 0.977
+
248. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031640/d0316409.png ; $F _ { M } ( V _ { M } ( m ) ) = V _ { M } ( F _ { M } ( m ) ) = p m$ ; confidence 0.976
  
249. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095230/u09523081.png ; $$\{ d f _ { n } / d x \}$$ ; confidence 0.954
+
249. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018052.png ; $\beta > 0$ ; confidence 0.976
  
250. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095290/u09529039.png ; $$t \rightarrow t + w z$$ ; confidence 0.466
+
250. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064510/m06451089.png ; $( S , \operatorname { Pic } X / S )$ ; confidence 0.976
  
251. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095290/u09529022.png ; $$w = \operatorname { sin }$$ ; confidence 0.905
+
251. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040213.png ; $\varphi _ { L } : A \rightarrow K _ { A } \subset P ^ { 3 }$ ; confidence 0.976
  
252. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095400/u09540011.png ; $$( g - 1 ) ^ { n } = 0$$ ; confidence 0.996
+
252. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081094.png ; $\lambda , \mu$ ; confidence 0.976
  
253. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095410/u09541013.png ; $$U _ { n } ( K )$$ ; confidence 0.987
+
253. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l05859082.png ; $\operatorname { exp } X = \sum _ { m = 0 } ^ { \infty } \frac { 1 } { m ! } X ^ { m }$ ; confidence 0.976
  
254. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095410/u09541052.png ; $$g ^ { p } = e$$ ; confidence 0.978
+
254. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164048.png ; $= \chi ( V , O _ { V } ) - 1$ ; confidence 0.976
  
255. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095440/u09544022.png ; $$O ( \epsilon _ { N } )$$ ; confidence 0.478
+
255. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s1300405.png ; $X = \Gamma \backslash H$ ; confidence 0.976
  
256. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095440/u09544020.png ; $$U ( \epsilon )$$ ; confidence 0.998
+
256. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006055.png ; $\partial ( I )$ ; confidence 0.976
  
257. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095620/u09562096.png ; $$\sum _ { k = 1 } ^ { \infty } | \alpha _ { k } | ^ { 2 } = \frac { 1 } { 2 \pi } \int _ { 0 } ^ { 2 \pi } | f ( e ^ { i t } ) | ^ { 2 } d t \leq 1$$ ; confidence 0.986
+
257. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004070.png ; $d _ { 1 } = 2$ ; confidence 0.976
  
258. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095630/u09563071.png ; $$U : B \rightarrow A$$ ; confidence 0.544
+
258. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l05851030.png ; $\mathfrak { g } _ { \alpha } = \{ X \in \mathfrak { g } : [ H , X ] = \alpha ( H ) X , H \in \mathfrak { h } \}$ ; confidence 0.976
  
259. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095680/u09568015.png ; $$( n \geq 0 )$$ ; confidence 1.000
+
259. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030620/d03062025.png ; $R = \infty$ ; confidence 0.976
  
260. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095820/u09582023.png ; $$v ( x ) \geq f ( x )$$ ; confidence 0.996
+
260. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a11030030.png ; $\operatorname { deg } v _ { \alpha } = n ^ { \alpha }$ ; confidence 0.976
  
261. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096020/v096020116.png ; $$f ( z ) \in K$$ ; confidence 0.998
+
261. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013051.png ; $F _ { j k } = \frac { \partial } { \partial t _ { j } } \frac { \partial } { \partial t _ { k } } \operatorname { log } ( \tau )$ ; confidence 0.976
  
262. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096020/v096020108.png ; $$\lambda \leq 0.5$$ ; confidence 0.968
+
262. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110410/c11041079.png ; $A ^ { * } B$ ; confidence 0.976
  
263. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096020/v096020147.png ; $$( f ) \subseteq V ( f )$$ ; confidence 0.998
+
263. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130090/d13009024.png ; $1 \leq u \leq 2$ ; confidence 0.976
  
264. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096040/v0960408.png ; $$s ( r )$$ ; confidence 0.997
+
264. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032110/d03211024.png ; $z = \phi _ { i }$ ; confidence 0.976
  
265. https://www.encyclopediaofmath.org/legacyimages/v/v110/v110020/v11002046.png ; $$x \in Y ( u )$$ ; confidence 0.570
+
265. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130040/f13004017.png ; $d _ { k } = \operatorname { det } ( 1 - f _ { t } ^ { \prime } ( x _ { k } ) ) ^ { 1 / 2 }$ ; confidence 0.976
  
266. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096350/v0963509.png ; $$( a + b ) + c = a + ( b + c )$$ ; confidence 0.946
+
266. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040230/f040230157.png ; $\Delta ^ { n } f ( x )$ ; confidence 0.976
  
267. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096350/v09635084.png ; $$a \perp b$$ ; confidence 0.521
+
267. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g045090287.png ; $G _ { A B } ^ { ( n ) } ( E )$ ; confidence 0.976
  
268. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096350/v09635060.png ; $$\left. \begin{array} { l l l } { \alpha _ { 1 } } & { \alpha _ { 2 } } & { \alpha _ { 3 } } \\ { b _ { 1 } } & { b _ { 2 } } & { b _ { 3 } } \\ { c _ { 1 } } & { c _ { 2 } } & { c _ { 3 } } \end{array} \right| = 0$$ ; confidence 0.378
+
268. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110080/i11008077.png ; $T f _ { n } \rightarrow 0$ ; confidence 0.976
  
269. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096380/v09638081.png ; $$u ^ { * } ( \pi )$$ ; confidence 0.996
+
269. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110060/l1100603.png ; $x ^ { ( 0 ) } = 1$ ; confidence 0.976
  
270. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096380/v096380113.png ; $$\pi ^ { \prime } \oplus \theta ^ { \prime }$$ ; confidence 0.992
+
270. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059340/l059340144.png ; $C _ { 0 } ( R )$ ; confidence 0.976
  
271. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096380/v09638042.png ; $$G ^ { k } ( V ) \times V$$ ; confidence 0.950
+
271. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067640/n06764043.png ; $\Omega _ { X }$ ; confidence 0.976
  
272. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096380/v096380128.png ; $$w : \xi \oplus \zeta \rightarrow \pi$$ ; confidence 0.996
+
272. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110120/p110120376.png ; $E _ { i } ( x )$ ; confidence 0.976
  
273. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096380/v09638089.png ; $$\pi : B \rightarrow G ^ { k } ( V )$$ ; confidence 0.258
+
273. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087820/s087820210.png ; $y _ { n + 1 } = y _ { n } + \int _ { 0 } ^ { H / 2 } e ^ { A \tau } d \tau \times$ ; confidence 0.976
  
274. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096380/v09638020.png ; $$X ^ { \prime } \cap \pi ^ { - 1 } ( b )$$ ; confidence 0.999
+
274. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093900/t093900146.png ; $Q _ { n } W ^ { k } = P _ { n } c ( W ^ { k } + \Phi _ { 0 } ^ { k } - \phi _ { 0 } ^ { k } )$ ; confidence 0.976
  
275. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096450/v09645016.png ; $$+ \frac { 1 } { N ! } \int _ { t _ { 0 } } ^ { t } ( t - \tau ) ^ { N _ { r } ( N + 1 ) } ( \tau ) d \tau$$ ; confidence 0.696
+
275. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094420/t09442025.png ; $\overline { U } / \partial \overline { U }$ ; confidence 0.976
  
276. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130060/v13006019.png ; $$j \in ( 1 / 2 ) Z$$ ; confidence 0.983
+
276. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095070/u09507044.png ; $T ( X ) = \left\{ \begin{array} { l l } { 1 } & { \text { if } X = 1 } \\ { 0 } & { \text { if } X \geq 2 } \end{array} \right.$ ; confidence 0.976
  
277. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130050/v130050114.png ; $$1 _ { n } ( w ) = 0$$ ; confidence 0.957
+
277. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097060/w09706017.png ; $2 ^ { m } \leq n \leq 2 ^ { m + 1 } - 1$ ; confidence 0.976
  
278. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v1200207.png ; $$f ^ { * } : H ^ { * } ( Y ) \rightarrow H ^ { * } ( X )$$ ; confidence 0.997
+
278. https://www.encyclopediaofmath.org/legacyimages/y/y110/y110010/y11001021.png ; $J ( \phi )$ ; confidence 0.976
  
279. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020197.png ; $$H ^ { n } ( S ^ { n } )$$ ; confidence 0.629
+
279. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110400/a11040081.png ; $x ^ { * } \in ( X ^ { \odot } ) ^ { d }$ ; confidence 0.976
  
280. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020220.png ; $$\delta ^ { * } \circ ( t - r ) ^ { * } \beta _ { 1 } = k ( t ^ { * } \square ^ { - 1 } \beta _ { 3 } )$$ ; confidence 0.259
+
280. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011160/a01116032.png ; $X ( k )$ ; confidence 0.976
  
281. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020184.png ; $$F : S ^ { n } \rightarrow K ( E ^ { n + 1 } \backslash \theta )$$ ; confidence 0.783
+
281. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a1300708.png ; $\sigma ( n ) \geq 2 n$ ; confidence 0.976
  
282. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020188.png ; $$t ^ { * } : H ^ { N } ( S ^ { N } ) \rightarrow H ^ { N } ( \Gamma _ { S ^ { n } } )$$ ; confidence 0.119
+
282. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g13002033.png ; $f _ { i } ( w ) \in K$ ; confidence 0.976
  
283. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v12002064.png ; $$d _ { k } = rd _ { Y } M _ { k }$$ ; confidence 0.623
+
283. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a01160051.png ; $K \rightarrow R$ ; confidence 0.976
  
284. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096650/v0966506.png ; $$n \geq 12$$ ; confidence 0.886
+
284. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120180/a12018023.png ; $\lambda | > 1$ ; confidence 0.976
  
285. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096670/v09667018.png ; $$P ^ { 2 r - k }$$ ; confidence 0.936
+
285. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017032.png ; $< 0$ ; confidence 0.976
  
286. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096740/v0967406.png ; $$v _ { \nu } ( t _ { 0 } ) = 0$$ ; confidence 0.996
+
286. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820100.png ; $Z \rightarrow A$ ; confidence 0.976
  
287. 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
+
287. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010970/a01097016.png ; $e _ { 1 } , e _ { 2 } , e _ { 3 }$ ; confidence 0.976
  
288. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130070/v13007046.png ; $$q e ^ { ( - i \theta ) }$$ ; confidence 0.903
+
288. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007017.png ; $u ( 0 ) = u _ { 0 } \in \overline { D ( A ( 0 ) ) }$ ; confidence 0.976
  
289. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130070/v1300709.png ; $$\vec { V }$$ ; confidence 0.987
+
289. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120415.png ; $x ^ { \prime } \in G$ ; confidence 0.976
  
290. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096870/v09687032.png ; $$\tau _ { j } < 0$$ ; confidence 0.887
+
290. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004061.png ; $h ( \varphi )$ ; confidence 0.976
  
291. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130110/v13011059.png ; $$2 i$$ ; confidence 0.747
+
291. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a011370155.png ; $\rho _ { A } ( x _ { 1 } , x _ { 2 } ) \leq 2$ ; confidence 0.976
  
292. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130110/v13011069.png ; $$\theta = 2 \pi$$ ; confidence 0.999
+
292. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058760/l05876065.png ; $\phi ( b )$ ; confidence 0.975
  
293. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130110/v13011064.png ; $$U = \frac { \Gamma } { 2 l } \operatorname { tanh } \frac { \pi b } { l } = \frac { \Gamma } { 2 l \sqrt { 2 } }$$ ; confidence 0.768
+
293. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240186.png ; $b$ ; confidence 0.975
  
294. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900234.png ; $$\Pi I _ { \lambda }$$ ; confidence 0.300
+
294. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054091.png ; $K _ { 2 } R$ ; confidence 0.975
  
295. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v09690074.png ; $$\phi ( U T U ^ { - 1 } ) = \phi ( T )$$ ; confidence 0.999
+
295. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310115.png ; $G$ ; confidence 0.975
  
296. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900232.png ; $$III _ { 0 }$$ ; confidence 0.560
+
296. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150013.png ; $\theta$ ; confidence 0.975
  
297. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900125.png ; $$P \sim P _ { 1 }$$ ; confidence 0.999
+
297. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081030/r08103038.png ; $W _ { k } ( G )$ ; confidence 0.975
  
298. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900122.png ; $$Q = U U ^ { * }$$ ; confidence 0.977
+
298. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240167.png ; $\sum \alpha _ { i } = 0$ ; confidence 0.975
  
299. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900124.png ; $$P _ { 1 } \in A$$ ; confidence 0.996
+
299. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055170/k0551702.png ; $\{ z \in C : | z | < 1 \}$ ; confidence 0.975
  
300. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097030/w09703012.png ; $$\overline { \sum _ { g } n ( g ) g } = \sum w ( g ) n ( g ) g ^ { - 1 }$$ ; confidence 0.832
+
300. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010580/a01058017.png ; $y ^ { \prime } = - a y$ ; confidence 0.975

Latest revision as of 09:58, 17 October 2019

List

1. u09541025.png ; $U _ { n } ( k )$ ; confidence 0.982

2. a01029059.png ; $\pi x$ ; confidence 0.982

3. a01121039.png ; $z ^ { 1 / 4 }$ ; confidence 0.982

4. a011380177.png ; $\{ x \vee y , x \}$ ; confidence 0.982

5. a01081067.png ; $U _ { k } ( y ) \equiv \sum _ { p = 1 } ^ { n } [ \alpha _ { k p } y ^ { ( p - 1 ) } ( t _ { 0 } ) + \beta _ { k p } y ^ { ( p - 1 ) } ( t _ { 1 } ) ]$ ; confidence 0.982

6. a01046066.png ; $P ( x + \xi h ) = \sum _ { \nu = 0 } ^ { m } P _ { \nu } ( x , h ) \xi ^ { \nu }$ ; confidence 0.982

7. a01018060.png ; $\sigma > \sigma _ { 1 }$ ; confidence 0.982

8. a01137037.png ; $f \in C ( X )$ ; confidence 0.982

9. a01160024.png ; $x + y \sqrt { D }$ ; confidence 0.981

10. d03164028.png ; $( F , V )$ ; confidence 0.981

11. a011600196.png ; $K / k$ ; confidence 0.981

12. a130050153.png ; $\zeta _ { G } ( z )$ ; confidence 0.981

13. a11001060.png ; $| \delta A | \leq \epsilon | A |$ ; confidence 0.981

14. a11010021.png ; $C ( X )$ ; confidence 0.981

15. a110010201.png ; $| \delta \lambda _ { i } | \leq k ( T ) \| \delta A \|$ ; confidence 0.981

16. l05876017.png ; $\xi _ { i j } ( x ) = \partial f _ { j } / \partial g ( e , x )$ ; confidence 0.981

17. a12007066.png ; $C _ { 2 } > 0$ ; confidence 0.981

18. a13012050.png ; $A _ { 1 } ( s )$ ; confidence 0.981

19. a130040119.png ; $\psi \rightarrow \varphi \in T$ ; confidence 0.981

20. g13002012.png ; $( d / d z ) e ^ { z } = e ^ { z }$ ; confidence 0.981

21. a11041069.png ; $u , v > 0$ ; confidence 0.981

22. a01052067.png ; $\eta ^ { \prime } = f _ { y } ( x , y ) \eta + S$ ; confidence 0.981

23. a12012059.png ; $x > 0$ ; confidence 0.981

24. a13013075.png ; $( g )$ ; confidence 0.981

25. a13013079.png ; $F _ { j k } ^ { ( l ) } : = \frac { \partial } { \partial t _ { j } } \frac { \partial } { \partial t _ { k } } \operatorname { log } ( \tau _ { l } )$ ; confidence 0.981

26. a110010117.png ; $A x = b$ ; confidence 0.981

27. b13006022.png ; $\| A \| _ { \infty }$ ; confidence 0.981

28. b01539011.png ; $\delta = \delta ( x )$ ; confidence 0.981

29. b01735065.png ; $K$ ; confidence 0.981

30. b120440103.png ; $R [ H \times H$ ; confidence 0.981

31. c02604027.png ; $P Q$ ; confidence 0.981

32. d03189028.png ; $\Delta \rightarrow 0$ ; confidence 0.981

33. d03321058.png ; $R _ { 2 } : x ^ { \prime } \Sigma ^ { - 1 } ( \mu ^ { ( 1 ) } - \mu ^ { ( 2 ) } ) +$ ; confidence 0.981

34. d0339309.png ; $p _ { 1 } / p _ { 2 }$ ; confidence 0.981

35. d120280152.png ; $A ( D ) ^ { * } \simeq A / B$ ; confidence 0.981

36. e03662025.png ; $Q _ { n - j } ( z ) \equiv 0$ ; confidence 0.981

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

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

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

40. i05177061.png ; $\psi = \sum \psi _ { i } \partial / \partial x _ { i }$ ; confidence 0.981

41. i051950193.png ; $\{ \psi _ { i } ( x ) \} _ { i = 0 } ^ { n }$ ; confidence 0.981

42. l12006027.png ; $\phi \in H$ ; confidence 0.981

43. m063240428.png ; $S _ { 1 } \times S _ { 2 }$ ; confidence 0.981

44. m06544030.png ; $E = \{ e \}$ ; confidence 0.981

45. r08155085.png ; $\psi d z$ ; confidence 0.981

46. t09298063.png ; $f \in S ( R ^ { n } )$ ; confidence 0.981

47. a01160018.png ; $D > 1$ ; confidence 0.981

48. a011370108.png ; $f ( x _ { 1 } ) \neq f ( x _ { 2 } )$ ; confidence 0.981

49. a12006022.png ; $R ^ { p }$ ; confidence 0.981

50. a120160131.png ; $R = r _ { 1 } ( X _ { 1 } ) + r _ { 2 } ( X _ { 2 } ) - r _ { 12 } ( X _ { 12 } )$ ; confidence 0.981

51. a01417027.png ; $e ^ { 2 \pi i z }$ ; confidence 0.981

52. s08559036.png ; $z = \phi _ { 2 } ( t )$ ; confidence 0.981

53. a011640132.png ; $0 \rightarrow O _ { V } \rightarrow E _ { \alpha } \rightarrow T _ { V } \rightarrow 0$ ; confidence 0.981

54. s13004017.png ; $\infty \in H ^ { * }$ ; confidence 0.981

55. g1300202.png ; $\operatorname { log } \alpha$ ; confidence 0.981

56. a0107601.png ; $\frac { d x } { d t } = v , \quad \frac { d v } { d t } = - \omega ^ { 2 } ( \epsilon t ) x$ ; confidence 0.981

57. a01018012.png ; $z - b | > R$ ; confidence 0.981

58. a01149045.png ; $f _ { 0 } ^ { j } ( x _ { 0 } ) = y _ { 0 } ^ { j } , \quad F ( x , f _ { 0 } ^ { j } ( x ) ) = 0$ ; confidence 0.981

59. a12017031.png ; $\lambda ^ { * } > 0$ ; confidence 0.981

60. l05851046.png ; $\alpha ( H _ { \alpha } ) = 2$ ; confidence 0.980

61. a11042075.png ; $\varphi , \psi : A \rightarrow B$ ; confidence 0.980

62. a01150012.png ; $( x , \sqrt { f ( x ) } ) \oplus ( c , \sqrt { f ( c ) } ) = ( y , \sqrt { f ( y ) } )$ ; confidence 0.980

63. a01018030.png ; $\lambda _ { n } = \operatorname { ln } n$ ; confidence 0.980

64. a13004079.png ; $h ( \psi ) \in F$ ; confidence 0.980

65. f040820153.png ; $\gamma ( T ) \in C ( F ; A )$ ; confidence 0.980

66. a12024051.png ; $p \geq 0$ ; confidence 0.980

67. a110010214.png ; $x ^ { i }$ ; confidence 0.980

68. a130040120.png ; $\varphi \leftrightarrow \psi \in T$ ; confidence 0.980

69. a01082016.png ; $H _ { G }$ ; confidence 0.980

70. a130050213.png ; $A _ { 1 } = \prod _ { r < 2 } \zeta ( r ) = 2.29$ ; confidence 0.980

71. a01145045.png ; $\pi = \operatorname { dim } H ^ { 1 } ( X , O _ { X } )$ ; confidence 0.980

72. a130240443.png ; $H _ { j } : X _ { 3 } \beta _ { j } = 0$ ; confidence 0.980

73. a13024015.png ; $n > m$ ; confidence 0.980

74. a130240220.png ; $n \times n$ ; confidence 0.980

75. c12016016.png ; $j = 1 : n$ ; confidence 0.980

76. c0229306.png ; $\{ x _ { n } > 0 \}$ ; confidence 0.980

77. c023380197.png ; $F \subset U$ ; confidence 0.980

78. d120020174.png ; $( US )$ ; confidence 0.980

79. d03087020.png ; $C ^ { \infty } ( G )$ ; confidence 0.980

80. d03201064.png ; $( x - x _ { 0 } ) / ( t - t _ { 0 } ) = u _ { 0 }$ ; confidence 0.980

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

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

83. l05836089.png ; $S ^ { i j } = \Omega ^ { i j } + T ^ { i j }$ ; confidence 0.980

84. m06262012.png ; $b \in R ^ { l - 1 }$ ; confidence 0.980

85. p075660207.png ; $\kappa : \Omega \rightarrow \Omega _ { 1 }$ ; confidence 0.980

86. r13013019.png ; $P _ { \sigma } ^ { 2 } = P _ { \sigma }$ ; confidence 0.980

87. s0865507.png ; $B _ { N } A ( B _ { N } ( \lambda - \lambda _ { 0 } ) )$ ; confidence 0.980

88. s090190160.png ; $X ( t _ { 1 } ) = x$ ; confidence 0.980

89. s12032058.png ; $S ( L )$ ; confidence 0.980

90. t093150728.png ; $A ^ { * } = A \cup \{ \infty _ { A } \}$ ; confidence 0.980

91. w0971508.png ; $\lambda = 2 \pi / | k |$ ; confidence 0.980

92. w09747012.png ; $x ( t _ { i } ) = x _ { 0 } ( t _ { i } )$ ; confidence 0.980

93. a01012014.png ; $( h \neq 0 )$ ; confidence 0.980

94. a12008025.png ; $V = H _ { 0 } ^ { 1 } ( \Omega )$ ; confidence 0.980

95. a130070128.png ; $k > 8$ ; confidence 0.980

96. d034120120.png ; $H _ { n - r } ( M ^ { n } , X ^ { * } )$ ; confidence 0.980

97. a130050236.png ; $q > 1$ ; confidence 0.980

98. a11070038.png ; $p \geq 2$ ; confidence 0.980

99. a01022022.png ; $\| w _ { p } \| = \sqrt { \sum _ { k = 1 } ^ { p } | \omega _ { k p } | ^ { 2 } } < \epsilon$ ; confidence 0.980

100. a01018036.png ; $\sigma _ { 1 } = \operatorname { Re } s _ { 1 }$ ; confidence 0.980

101. a13018021.png ; $\Gamma \subseteq \Delta$ ; confidence 0.980

102. a120310113.png ; $M ( C ( S ) , \alpha _ { 2 } , G _ { 2 } )$ ; confidence 0.980

103. f04055042.png ; $F ( 1 ) ( V )$ ; confidence 0.980

104. a12005063.png ; $u _ { 0 } \in D ( A ( 0 ) )$ ; confidence 0.980

105. a110220113.png ; $f \in L ^ { 1 } ( H , m )$ ; confidence 0.980

106. a12011026.png ; $T ( i , 0 ) = 0 \text { for } i \geq 1 , T ( i , 1 ) = 2 \text { for } i \geq 1$ ; confidence 0.980

107. w09759045.png ; $E ( Q )$ ; confidence 0.980

108. a01081080.png ; $n - k$ ; confidence 0.980

109. a13012015.png ; $t > 4$ ; confidence 0.980

110. h04797053.png ; $\{ e \} \rightarrow G$ ; confidence 0.980

111. a11049020.png ; $F \in F _ { D }$ ; confidence 0.980

112. a12007062.png ; $A ( 0 ) u _ { 0 } \in D _ { A ( 0 ) } ( \alpha , \infty )$ ; confidence 0.979

113. d0316408.png ; $\omega V _ { M } ( m ) = V _ { M } ( \omega ^ { ( p ) } m )$ ; confidence 0.979

114. a011640116.png ; $p _ { 12 } > 1$ ; confidence 0.979

115. a01150029.png ; $\Omega ^ { \tau } [ X ]$ ; confidence 0.979

116. a110010146.png ; $( A )$ ; confidence 0.979

117. e03696032.png ; $F _ { 0 } \subset F$ ; confidence 0.979

118. a12005048.png ; $| A ( t ) ( \lambda - A ( t ) ) ^ { - 1 } ( A ( t ) ^ { - 1 } - A ( s ) ^ { - 1 } ) \| \leq$ ; confidence 0.979

119. a01137078.png ; $f _ { 1 } ( x ) + \ldots + f _ { n } ( x ) \equiv 1$ ; confidence 0.979

120. g1300205.png ; $\alpha ^ { \beta } = \operatorname { exp } \{ \beta \operatorname { log } \alpha \}$ ; confidence 0.979

121. a13008075.png ; $c _ { n } = \frac { 1 } { \sqrt { n } B ( \frac { n } { 2 } , \frac { 1 } { 2 } ) } = \frac { \Gamma ( \frac { n + 1 } { 2 } ) } { \sqrt { n \pi } \Gamma ( \frac { n } { 2 } ) }$ ; confidence 0.979

122. a12002022.png ; $F _ { 0 } = f$ ; confidence 0.979

123. b01539015.png ; $\pi = \pi ( d \theta )$ ; confidence 0.979

124. b01616036.png ; $0 < c < 1$ ; confidence 0.979

125. d03379012.png ; $D \backslash K$ ; confidence 0.979

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

127. l05866027.png ; $G \subset N ( F )$ ; confidence 0.979

128. l06116099.png ; $V _ { 0 } \subset E$ ; confidence 0.979

129. n11001011.png ; $L _ { \infty } ( T )$ ; confidence 0.979

130. n06728084.png ; $y ^ { \prime \prime \prime } = \lambda y$ ; confidence 0.979

131. p07486040.png ; $0 \leq s _ { 0 } \leq l$ ; confidence 0.979

132. r08064034.png ; $y _ { t } = A x _ { t } + \epsilon _ { t }$ ; confidence 0.979

133. r082200143.png ; $V ^ { \prime } \subset R ^ { \prime }$ ; confidence 0.979

134. s08726044.png ; $\eta _ { 0 } ( i )$ ; confidence 0.979

135. s09076071.png ; $l [ f ] = 0$ ; confidence 0.979

136. t1301005.png ; $\square _ { H } T$ ; confidence 0.979

137. a12016039.png ; $b A$ ; confidence 0.979

138. a011450202.png ; $y = \psi ( z )$ ; confidence 0.979

139. s085590522.png ; $x _ { 0 } \in H$ ; confidence 0.979

140. a011600223.png ; $( \alpha / \beta ) _ { n }$ ; confidence 0.979

141. a011300163.png ; $\Delta _ { i } = 1$ ; confidence 0.979

142. s085590646.png ; $x = x ( u , v )$ ; confidence 0.979

143. a13008048.png ; $+ \frac { d } { d m } \operatorname { ln } g ( R ; m , s ) \frac { d m } { d s } + \frac { d } { d s } \operatorname { ln } g ( R ; m , s ) = 0$ ; confidence 0.979

144. a01116023.png ; $X$ ; confidence 0.979

145. a110040202.png ; $\varphi _ { L } ( A )$ ; confidence 0.979

146. d030700177.png ; $H ^ { 0 } ( X _ { 0 } , T _ { X _ { 0 } } ) = 0$ ; confidence 0.979

147. a01107011.png ; $M _ { 1 }$ ; confidence 0.979

148. a130240520.png ; $\Sigma _ { 33 } ^ { - 1 } \Sigma _ { 32 }$ ; confidence 0.979

149. a010210121.png ; $\Omega ( a )$ ; confidence 0.979

150. a01121079.png ; $y _ { 1 } ( x ) = Y _ { 1 } ( x ) [ 1 + O ( \frac { 1 } { \lambda } ) ] + Y _ { 0 } ( x ) O ( \frac { 1 } { \lambda } )$ ; confidence 0.979

151. u09540020.png ; $K = p > 0$ ; confidence 0.978

152. g04503014.png ; $\operatorname { lim } V _ { k } = k$ ; confidence 0.978

153. w120090164.png ; $E ^ { \otimes r } \rightarrow \Delta ( \lambda )$ ; confidence 0.978

154. a011600157.png ; $m = 1$ ; confidence 0.978

155. a01055047.png ; $( g , x ) \rightarrow x$ ; confidence 0.978

156. h04797062.png ; $p : G \rightarrow \{ e \}$ ; confidence 0.978

157. l05925094.png ; $| K | = 2,3$ ; confidence 0.978

158. u09524012.png ; $X = \sum _ { n = 1 } ^ { \infty } X _ { n } 2 ^ { - n }$ ; confidence 0.978

159. a010210133.png ; $g = 1$ ; confidence 0.978

160. d03249015.png ; $d ( p )$ ; confidence 0.978

161. r07763080.png ; $\phi _ { 1 } \otimes \ldots \otimes \phi _ { d }$ ; confidence 0.978

162. t12001048.png ; $( S , g )$ ; confidence 0.978

163. c11045018.png ; $2 ^ { \lambda }$ ; confidence 0.978

164. a11015012.png ; $F ( . | S )$ ; confidence 0.978

165. r08137017.png ; $\phi ^ { a }$ ; confidence 0.978

166. a11004098.png ; $\theta = [ \Theta$ ; confidence 0.978

167. a11042078.png ; $4$ ; confidence 0.978

168. a11042072.png ; $\alpha ( \Sigma ( A ) ) \subseteq \Sigma ( B )$ ; confidence 0.978

169. a1201008.png ; $y ( 0 ) = x$ ; confidence 0.978

170. a11068076.png ; $\alpha \geq b$ ; confidence 0.978

171. b12004080.png ; $T : L _ { \infty } \rightarrow L _ { \infty }$ ; confidence 0.978

172. b01539038.png ; $\delta ^ { * } ( x )$ ; confidence 0.978

173. c023150259.png ; $\beta \circ \beta = 0$ ; confidence 0.978

174. c02547031.png ; $\alpha \wedge ( d \alpha ) ^ { s } ( x ) \neq 0$ ; confidence 0.978

175. d03087032.png ; $\pi ( \chi )$ ; confidence 0.978

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

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

178. m06308045.png ; $f ^ { ( m ) } ( x _ { 0 } ) < 0$ ; confidence 0.978

179. m0633503.png ; $\int _ { - 1 } ^ { 1 } \frac { 1 } { \sqrt { 1 - x ^ { 2 } } } f ( x ) d x \approx \frac { \pi } { N } \sum _ { k = 1 } ^ { N } f ( \operatorname { cos } \frac { 2 k - 1 } { 2 N } \pi )$ ; confidence 0.978

180. p07540018.png ; $F \subset G$ ; confidence 0.978

181. s13004056.png ; $\overline { D } = \overline { D } _ { S }$ ; confidence 0.978

182. s08347010.png ; $D ^ { - 1 } \in \pi$ ; confidence 0.978

183. u09541052.png ; $g ^ { p } = e$ ; confidence 0.978

184. a12007051.png ; $f ( t ) \in D _ { A ( t ) } ( \alpha , \infty )$ ; confidence 0.978

185. a01018059.png ; $\sigma _ { k } - 1 < \beta < \sigma _ { k } < \ldots < \sigma _ { 1 }$ ; confidence 0.978

186. f11015085.png ; $S ( A )$ ; confidence 0.978

187. a13007093.png ; $\alpha \leq 2$ ; confidence 0.978

188. a011650122.png ; $\Omega _ { f } \cup \Omega _ { p }$ ; confidence 0.978

189. a130240140.png ; $\psi = c ^ { \prime } \beta$ ; confidence 0.978

190. a12010069.png ; $u = u _ { f } \in D ( \Delta )$ ; confidence 0.978

191. a12006019.png ; $( b ( x ) u , u ) \geq 0$ ; confidence 0.978

192. a130040264.png ; $E ( x , y ) = \{ x \leftrightarrow y \}$ ; confidence 0.978

193. a130040176.png ; $\{ a , b \}$ ; confidence 0.977

194. a011370156.png ; $\rho _ { A } ( x _ { 1 } , x _ { 2 } ) < 2$ ; confidence 0.977

195. a110010155.png ; $x + \delta x = ( A + \delta A ) ^ { + } ( b + \delta b )$ ; confidence 0.977

196. d034120492.png ; $X ^ { \prime } = F$ ; confidence 0.977

197. a0107603.png ; $\omega ( s )$ ; confidence 0.977

198. a12012041.png ; $( I - A ) v = c$ ; confidence 0.977

199. h04797024.png ; $\iota ^ { * } : A ^ { * } \rightarrow K$ ; confidence 0.977

200. d034120502.png ; $\{ H , G / H ^ { 0 } \}$ ; confidence 0.977

201. s13004014.png ; $H ^ { L } = \{ z \in H : \operatorname { Im } z > L \} \text { for } L > 0$ ; confidence 0.977

202. a12002021.png ; $F : X \times I \rightarrow Z$ ; confidence 0.977

203. i0530603.png ; $g = k a n$ ; confidence 0.977

204. a01146087.png ; $C _ { \tau } ( X )$ ; confidence 0.977

205. a01076026.png ; $s = \epsilon t$ ; confidence 0.977

206. w120090322.png ; $\Lambda ( V )$ ; confidence 0.977

207. l05872010.png ; $( x + y ) ^ { [ p ] } = x ^ { [ p ] } + y ^ { [ p ] } + \Lambda _ { p } ( x , y )$ ; confidence 0.977

208. a12017035.png ; $< 1$ ; confidence 0.977

209. a12018097.png ; $x = F ( x )$ ; confidence 0.977

210. a010950117.png ; $S ( X , Y ) = \nabla _ { X } Y - \nabla _ { Y } X - [ X , Y ]$ ; confidence 0.977

211. a01081034.png ; $A ^ { * } ( t )$ ; confidence 0.977

212. a110420149.png ; $K _ { 0 } ( \varphi ) : K _ { 0 } ( A ) \rightarrow K _ { 0 } ( B )$ ; confidence 0.977

213. a12016079.png ; $1 / ( 1 - \lambda )$ ; confidence 0.977

214. a01164040.png ; $q ( V )$ ; confidence 0.977

215. a110680125.png ; $p / p$ ; confidence 0.977

216. a11068053.png ; $r ^ { \prime } < r$ ; confidence 0.977

217. k12003040.png ; $E = \emptyset$ ; confidence 0.977

218. l059350101.png ; $X ( t ) = \operatorname { exp } ( \int _ { t _ { 0 } } ^ { t } A ( \tau ) d \tau )$ ; confidence 0.977

219. m06259044.png ; $V _ { [ r ] }$ ; confidence 0.977

220. m062620207.png ; $R _ { + } ^ { l }$ ; confidence 0.977

221. s12004026.png ; $x ^ { T } = x _ { 1 } ^ { 3 } x _ { 2 } x _ { 3 } ^ { 2 } x _ { 4 }$ ; confidence 0.977

222. t09253011.png ; $( \pi | \tau _ { 1 } | \tau _ { 2 } )$ ; confidence 0.977

223. u0952109.png ; $f _ { \alpha } ( x ) \geq - c$ ; confidence 0.977

224. v096900122.png ; $Q = U U ^ { * }$ ; confidence 0.977

225. w097510202.png ; $q \in T _ { n } ( k )$ ; confidence 0.977

226. z1301303.png ; $x _ { 2 } = r \operatorname { sin } \theta$ ; confidence 0.977

227. f040820167.png ; $F _ { \pi } ( \overline { m } )$ ; confidence 0.977

228. l05876024.png ; $\psi _ { k i } ( e ) = \delta _ { k i }$ ; confidence 0.977

229. g1300208.png ; $\operatorname { log } \alpha = i \pi$ ; confidence 0.977

230. s085590223.png ; $( U ^ { n } ( \zeta , R ) , f _ { \zeta } )$ ; confidence 0.977

231. a12016081.png ; $A V i / P = x$ ; confidence 0.977

232. a130060118.png ; $Z _ { G } ( y ) = \sum _ { r = 0 } ^ { \infty } G ^ { \# } ( r ) y ^ { r }$ ; confidence 0.977

233. s085590525.png ; $( a x + b y ) d y = ( c x + e y ) d x$ ; confidence 0.977

234. d030700197.png ; $H ^ { 2 } ( X _ { 0 } , T _ { X _ { 0 } } ) = 0$ ; confidence 0.977

235. a01086014.png ; $x ( \phi ) = x ( \phi )$ ; confidence 0.977

236. a13014042.png ; $X \geq 3$ ; confidence 0.977

237. a12016048.png ; $g ( W )$ ; confidence 0.977

238. a01046025.png ; $y ^ { \prime } ( f ( x + \xi h ) )$ ; confidence 0.977

239. a011600257.png ; $A _ { 1 } / L _ { 1 }$ ; confidence 0.977

240. d034120383.png ; $F ^ { * } ( z )$ ; confidence 0.977

241. b01539053.png ; $\rho ( \pi , \delta ) = \int _ { X } [ \pi _ { 1 } p ( x | \theta _ { 1 } ) L ( \theta _ { 1 } , \delta ( x ) ) +$ ; confidence 0.977

242. a12007091.png ; $| A ( t ) ( \lambda - A ( t ) ) ^ { - 1 } \frac { d A ( t ) ^ { - 1 } } { d t } +$ ; confidence 0.977

243. f040820148.png ; $F \mapsto C ( F ; A )$ ; confidence 0.977

244. a01110054.png ; $A _ { 1 }$ ; confidence 0.977

245. a11041082.png ; $\tau > n / 2 + 1$ ; confidence 0.977

246. a01130054.png ; $M ( k )$ ; confidence 0.977

247. a13018012.png ; $1$ ; confidence 0.977

248. d0316409.png ; $F _ { M } ( V _ { M } ( m ) ) = V _ { M } ( F _ { M } ( m ) ) = p m$ ; confidence 0.976

249. a01018052.png ; $\beta > 0$ ; confidence 0.976

250. m06451089.png ; $( S , \operatorname { Pic } X / S )$ ; confidence 0.976

251. a110040213.png ; $\varphi _ { L } : A \rightarrow K _ { A } \subset P ^ { 3 }$ ; confidence 0.976

252. a01081094.png ; $\lambda , \mu$ ; confidence 0.976

253. l05859082.png ; $\operatorname { exp } X = \sum _ { m = 0 } ^ { \infty } \frac { 1 } { m ! } X ^ { m }$ ; confidence 0.976

254. a01164048.png ; $= \chi ( V , O _ { V } ) - 1$ ; confidence 0.976

255. s1300405.png ; $X = \Gamma \backslash H$ ; confidence 0.976

256. a13006055.png ; $\partial ( I )$ ; confidence 0.976

257. a11004070.png ; $d _ { 1 } = 2$ ; confidence 0.976

258. l05851030.png ; $\mathfrak { g } _ { \alpha } = \{ X \in \mathfrak { g } : [ H , X ] = \alpha ( H ) X , H \in \mathfrak { h } \}$ ; confidence 0.976

259. d03062025.png ; $R = \infty$ ; confidence 0.976

260. a11030030.png ; $\operatorname { deg } v _ { \alpha } = n ^ { \alpha }$ ; confidence 0.976

261. a13013051.png ; $F _ { j k } = \frac { \partial } { \partial t _ { j } } \frac { \partial } { \partial t _ { k } } \operatorname { log } ( \tau )$ ; confidence 0.976

262. c11041079.png ; $A ^ { * } B$ ; confidence 0.976

263. d13009024.png ; $1 \leq u \leq 2$ ; confidence 0.976

264. d03211024.png ; $z = \phi _ { i }$ ; confidence 0.976

265. f13004017.png ; $d _ { k } = \operatorname { det } ( 1 - f _ { t } ^ { \prime } ( x _ { k } ) ) ^ { 1 / 2 }$ ; confidence 0.976

266. f040230157.png ; $\Delta ^ { n } f ( x )$ ; confidence 0.976

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

268. i11008077.png ; $T f _ { n } \rightarrow 0$ ; confidence 0.976

269. l1100603.png ; $x ^ { ( 0 ) } = 1$ ; confidence 0.976

270. l059340144.png ; $C _ { 0 } ( R )$ ; confidence 0.976

271. n06764043.png ; $\Omega _ { X }$ ; confidence 0.976

272. p110120376.png ; $E _ { i } ( x )$ ; confidence 0.976

273. s087820210.png ; $y _ { n + 1 } = y _ { n } + \int _ { 0 } ^ { H / 2 } e ^ { A \tau } d \tau \times$ ; confidence 0.976

274. t093900146.png ; $Q _ { n } W ^ { k } = P _ { n } c ( W ^ { k } + \Phi _ { 0 } ^ { k } - \phi _ { 0 } ^ { k } )$ ; confidence 0.976

275. t09442025.png ; $\overline { U } / \partial \overline { U }$ ; confidence 0.976

276. u09507044.png ; $T ( X ) = \left\{ \begin{array} { l l } { 1 } & { \text { if } X = 1 } \\ { 0 } & { \text { if } X \geq 2 } \end{array} \right.$ ; confidence 0.976

277. w09706017.png ; $2 ^ { m } \leq n \leq 2 ^ { m + 1 } - 1$ ; confidence 0.976

278. y11001021.png ; $J ( \phi )$ ; confidence 0.976

279. a11040081.png ; $x ^ { * } \in ( X ^ { \odot } ) ^ { d }$ ; confidence 0.976

280. a01116032.png ; $X ( k )$ ; confidence 0.976

281. a1300708.png ; $\sigma ( n ) \geq 2 n$ ; confidence 0.976

282. g13002033.png ; $f _ { i } ( w ) \in K$ ; confidence 0.976

283. a01160051.png ; $K \rightarrow R$ ; confidence 0.976

284. a12018023.png ; $\lambda | > 1$ ; confidence 0.976

285. a12017032.png ; $< 0$ ; confidence 0.976

286. f040820100.png ; $Z \rightarrow A$ ; confidence 0.976

287. a01097016.png ; $e _ { 1 } , e _ { 2 } , e _ { 3 }$ ; confidence 0.976

288. a12007017.png ; $u ( 0 ) = u _ { 0 } \in \overline { D ( A ( 0 ) ) }$ ; confidence 0.976

289. d034120415.png ; $x ^ { \prime } \in G$ ; confidence 0.976

290. a13004061.png ; $h ( \varphi )$ ; confidence 0.976

291. a011370155.png ; $\rho _ { A } ( x _ { 1 } , x _ { 2 } ) \leq 2$ ; confidence 0.976

292. l05876065.png ; $\phi ( b )$ ; confidence 0.975

293. a130240186.png ; $b$ ; confidence 0.975

294. s13054091.png ; $K _ { 2 } R$ ; confidence 0.975

295. a120310115.png ; $G$ ; confidence 0.975

296. a01150013.png ; $\theta$ ; confidence 0.975

297. r08103038.png ; $W _ { k } ( G )$ ; confidence 0.975

298. a130240167.png ; $\sum \alpha _ { i } = 0$ ; confidence 0.975

299. k0551702.png ; $\{ z \in C : | z | < 1 \}$ ; confidence 0.975

300. a01058017.png ; $y ^ { \prime } = - a y$ ; confidence 0.975

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/10. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/10&oldid=43817