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(AUTOMATIC EDIT of page 10 out of 19 with 300 lines: Updated image/latex database (currently 5483 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.)
 
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== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040786.png ; $A , B \in K$ ; confidence 0.882
+
1. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095410/u09541025.png ; $U _ { n } ( k )$ ; confidence 0.982
  
2. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040126.png ; $4$ ; confidence 0.882
+
2. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029059.png ; $\pi x$ ; confidence 0.982
  
3. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120280/a120280141.png ; $S _ { E } = \{ \omega \in \hat { G } : E + \omega \subseteq E \}$ ; confidence 0.881
+
3. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121039.png ; $z ^ { 1 / 4 }$ ; confidence 0.982
  
4. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048420/h0484203.png ; $F _ { + } ( x + i 0 ) - F _ { - } ( x - i 0 )$ ; confidence 0.881
+
4. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a011380177.png ; $\{ x \vee y , x \}$ ; confidence 0.982
  
5. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081600/r08160033.png ; $y _ { 2 } = ( x _ { 1 } + x _ { 3 } ) ( x _ { 2 } + x _ { 4 } )$ ; confidence 0.881
+
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/y/y099/y099070/y09907014.png ; $t _ { \lambda } ^ { \prime }$ ; confidence 0.881
+
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/a/a010/a010700/a0107008.png ; $r$ ; confidence 0.881
+
7. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018060.png ; $\sigma > \sigma _ { 1 }$ ; confidence 0.982
  
8. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539044.png ; $i , j = 1,2$ ; confidence 0.881
+
8. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a01137037.png ; $f \in C ( X )$ ; confidence 0.982
  
9. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050176.png ; $F _ { q }$ ; confidence 0.880
+
9. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a01160024.png ; $x + y \sqrt { D }$ ; confidence 0.981
  
10. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040403.png ; $P K$ ; confidence 0.879
+
10. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031640/d03164028.png ; $( F , V )$ ; confidence 0.981
  
11. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010033.png ; $\langle y _ { 1 } - y _ { 2 } , x _ { 1 } - x _ { 2 } \rangle \geq 0$ ; confidence 0.879
+
11. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600196.png ; $K / k$ ; confidence 0.981
  
12. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007020.png ; $945 = 3 ^ { 3 } .5 .7$ ; confidence 0.879
+
12. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050153.png ; $\zeta _ { G } ( z )$ ; confidence 0.981
  
13. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032600/d032600176.png ; $w _ { N } ( \alpha ) \geq n$ ; confidence 0.879
+
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/a/a110/a110170/a11017038.png ; $F \equiv \operatorname { grad } \phi$ ; confidence 0.879
+
14. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010021.png ; $C ( X )$ ; confidence 0.981
  
15. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006026.png ; $| I | = \operatorname { card } ( R / I )$ ; confidence 0.879
+
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/a/a130/a130240/a130240222.png ; $r$ ; confidence 0.879
+
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/a/a010/a010290/a01029079.png ; $X _ { \delta }$ ; confidence 0.879
+
17. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007066.png ; $C _ { 2 } > 0$ ; confidence 0.981
  
18. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006042.png ; $P _ { q }$ ; confidence 0.879
+
18. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130120/a13012050.png ; $A _ { 1 } ( s )$ ; confidence 0.981
  
19. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025170/c02517037.png ; $\omega ^ { k } = d x ^ { k }$ ; confidence 0.878
+
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/c/c026/c026460/c0264605.png ; $\alpha _ { i } < b _ { i }$ ; confidence 0.878
+
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/l/l120/l120060/l12006098.png ; $H \phi$ ; confidence 0.878
+
21. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110410/a11041069.png ; $u , v > 0$ ; confidence 0.981
  
22. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093990/t09399044.png ; $Q _ { 1 } \cup \square \ldots \cup Q _ { m }$ ; confidence 0.878
+
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/a/a120/a120100/a12010039.png ; $\forall x _ { i } \in D ( A )$ ; confidence 0.878
+
23. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012059.png ; $x > 0$ ; confidence 0.981
  
24. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060125.png ; $T ^ { \# } ( n )$ ; confidence 0.878
+
24. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013075.png ; $( g )$ ; confidence 0.981
  
25. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040153.png ; $C ^ { 2 } : 1 E$ ; confidence 0.878
+
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/a/a130/a130050/a130050177.png ; $Z _ { q } ( y ) = \sum _ { n = 0 } ^ { \infty } q ^ { n } y ^ { n } = ( 1 - q y ) ^ { - 1 }$ ; confidence 0.877
+
26. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010117.png ; $A x = b$ ; confidence 0.981
  
27. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026970/c02697049.png ; $| w | < 1 / 16$ ; confidence 0.877
+
27. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130060/b13006022.png ; $\| A \| _ { \infty }$ ; confidence 0.981
  
28. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042210/f04221056.png ; $e _ { \lambda } ^ { 1 } \in X$ ; confidence 0.877
+
28. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539011.png ; $\delta = \delta ( x )$ ; confidence 0.981
  
29. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064430/m06443090.png ; $B O$ ; confidence 0.877
+
29. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017350/b01735065.png ; $K$ ; confidence 0.981
  
30. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520250.png ; $d j \neq 0$ ; confidence 0.877
+
30. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120440/b120440103.png ; $R [ H \times H$ ; confidence 0.981
  
31. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002062.png ; $3$ ; confidence 0.876
+
31. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026040/c02604027.png ; $P Q$ ; confidence 0.981
  
32. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110070/a11007023.png ; $: C ( K ) \rightarrow L _ { p } ( K , \mu )$ ; confidence 0.876
+
32. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031890/d03189028.png ; $\Delta \rightarrow 0$ ; confidence 0.981
  
33. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043620/g0436207.png ; $R [ F ( t ) ] = ( 1 - t ^ { 2 } ) F ^ { \prime \prime } - ( 2 \rho - 1 ) t F ^ { \prime \prime }$ ; confidence 0.876
+
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/a/a010/a010180/a0101806.png ; $z = z 0$ ; confidence 0.876
+
34. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033930/d0339309.png ; $p _ { 1 } / p _ { 2 }$ ; confidence 0.981
  
35. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120040/a12004024.png ; $| x ( t ) \| \leq c \| x _ { 0 } \| \text { for all } t \in [ 0 , \tau ]$ ; confidence 0.875
+
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/a/a130/a130240/a1302403.png ; $n \times 1$ ; confidence 0.875
+
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/a/a120/a120120/a12012069.png ; $p ^ { * } y \leq \lambda ^ { * } p ^ { * } x$ ; confidence 0.875
+
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/a/a011/a011600/a011600189.png ; $( K / k )$ ; confidence 0.875
+
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/e/e035/e035250/e03525091.png ; $z _ { k } \in L$ ; confidence 0.875
+
39. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048250/h04825025.png ; $O A M$ ; confidence 0.981
  
40. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i130090231.png ; $( X ^ { \omega } \chi ^ { - 1 } ) = \pi ^ { \mu _ { \chi } ^ { * } } g _ { \chi } ^ { * } ( T )$ ; confidence 0.875
+
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/l/l058/l058820/l058820374.png ; $\tau = \{ t _ { i } \} _ { i = 0 } ^ { i = n }$ ; confidence 0.875
+
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/l/l060/l060770/l0607706.png ; $\operatorname { inv } ( x )$ ; confidence 0.875
+
42. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120060/l12006027.png ; $\phi \in H$ ; confidence 0.981
  
43. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093900/t09390073.png ; $g _ { n } ( \Omega )$ ; confidence 0.875
+
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/a/a130/a130130/a13013039.png ; $Q = \sum _ { j = 0 } ^ { \infty } Q _ { j } z ^ { - j } , Q _ { j } = \left( \begin{array} { c c } { h _ { j } } & { e _ { j } } \\ { f _ { j } } & { - h _ { j } } \end{array} \right)$ ; confidence 0.875
+
44. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065440/m06544030.png ; $E = \{ e \}$ ; confidence 0.981
  
45. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050132.png ; $R ^ { N }$ ; confidence 0.875
+
45. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081550/r08155085.png ; $\psi d z$ ; confidence 0.981
  
46. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010299.png ; $m$ ; confidence 0.874
+
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/m/m064/m064440/m06444056.png ; $c = 0$ ; confidence 0.874
+
47. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a01160018.png ; $D > 1$ ; confidence 0.981
  
48. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085830/s08583016.png ; $| w | = \rho < 1$ ; confidence 0.874
+
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/a/a010/a010600/a01060031.png ; $p = - \infty$ ; confidence 0.874
+
49. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006022.png ; $R ^ { p }$ ; confidence 0.981
  
50. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046086.png ; $f ( \alpha + h ) = \sum _ { n = 0 } ^ { \infty } P _ { n } ( h )$ ; confidence 0.873
+
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/a/a130/a130040/a130040741.png ; $R ^ { \prime }$ ; confidence 0.873
+
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/a/a110/a110280/a11028054.png ; $AO ( G )$ ; confidence 0.873
+
52. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559036.png ; $z = \phi _ { 2 } ( t )$ ; confidence 0.981
  
53. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240408.png ; $y _ { i j k }$ ; confidence 0.873
+
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/a/a110/a110150/a11015019.png ; $\tau ( S )$ ; confidence 0.873
+
54. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004017.png ; $\infty \in H ^ { * }$ ; confidence 0.981
  
55. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006012.png ; $b ( x ) = \sum _ { j = 1 } ^ { m } n _ { j } ( x ) a _ { j } ( x )$ ; confidence 0.872
+
55. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g1300202.png ; $\operatorname { log } \alpha$ ; confidence 0.981
  
56. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013000/a01300057.png ; $L _ { p } ( E )$ ; confidence 0.872
+
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/l/l058/l058590/l058590134.png ; $S \cap R ( G ) = ( e )$ ; confidence 0.872
+
57. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018012.png ; $z - b | > R$ ; confidence 0.981
  
58. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055028.png ; $O ( n ) / O ( m )$ ; confidence 0.872
+
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/a/a010/a010120/a0101209.png ; $P _ { n } ^ { ( k ) } ( \lambda _ { k } ) = 0 , \quad k = 0 , \ldots , n - 1 ; \quad P _ { n } ^ { ( n ) } ( z ) \equiv 1$ ; confidence 0.872
+
59. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017031.png ; $\lambda ^ { * } > 0$ ; confidence 0.981
  
60. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024049.png ; $\int _ { L } * \phi _ { i }$ ; confidence 0.871
+
60. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l05851046.png ; $\alpha ( H _ { \alpha } ) = 2$ ; confidence 0.980
  
61. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046071.png ; $P _ { m } ( x , h ) \neq 0$ ; confidence 0.871
+
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/a/a130/a130240/a130240230.png ; $\psi = \sum _ { i = 1 } ^ { r } d _ { i } \zeta _ { i }$ ; confidence 0.871
+
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/a/a110/a110100/a11010013.png ; $p _ { U } ( x ) = \operatorname { sup } \{ \mu ( x ) : \mu \in U ^ { \circ } \}$ ; confidence 0.871
+
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/a/a010/a010220/a01022062.png ; $R ^ { 2 p }$ ; confidence 0.871
+
64. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004079.png ; $h ( \psi ) \in F$ ; confidence 0.980
  
65. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t1200107.png ; $m = 2 i + 1$ ; confidence 0.871
+
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/b/b110/b110330/b11033038.png ; $P ^ { \prime }$ ; confidence 0.871
+
66. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120240/a12024051.png ; $p \geq 0$ ; confidence 0.980
  
67. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051930/i051930181.png ; $Y = C$ ; confidence 0.871
+
67. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010214.png ; $x ^ { i }$ ; confidence 0.980
  
68. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a11022092.png ; $f \circ \pi$ ; confidence 0.871
+
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/a/a130/a130240/a1302405.png ; $( n \times m )$ ; confidence 0.870
+
69. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010820/a01082016.png ; $H _ { G }$ ; confidence 0.980
  
70. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240510.png ; $\Theta = E ( Z _ { 12 } )$ ; confidence 0.870
+
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/a/a120/a120070/a12007084.png ; $f \in C ^ { \delta } ( [ 0 , T ] ; X )$ ; confidence 0.870
+
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/b/b110/b110690/b11069080.png ; $M _ { A g }$ ; confidence 0.870
+
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/d/d130/d130180/d13018035.png ; $\| \hat { f } \| = \| f \| _ { 1 }$ ; confidence 0.870
+
73. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024015.png ; $n > m$ ; confidence 0.980
  
74. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065570/m06557014.png ; $L _ { \cap } \Gamma = 0$ ; confidence 0.870
+
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/s087350/s08735095.png ; $I _ { n } ( \theta ) = n I ( \theta )$ ; confidence 0.870
+
75. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120160/c12016016.png ; $j = 1 : n$ ; confidence 0.980
  
76. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040725.png ; $S _ { P }$ ; confidence 0.869
+
76. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022930/c0229306.png ; $\{ x _ { n } > 0 \}$ ; confidence 0.980
  
77. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001011.png ; $\xi = I ( \partial _ { r } )$ ; confidence 0.869
+
77. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023380/c023380197.png ; $F \subset U$ ; confidence 0.980
  
78. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013076.png ; $P ^ { ( l ) }$ ; confidence 0.869
+
78. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020174.png ; $( US )$ ; confidence 0.980
  
79. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110570/b11057061.png ; $H _ { m }$ ; confidence 0.869
+
79. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030870/d03087020.png ; $C ^ { \infty } ( G )$ ; confidence 0.980
  
80. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026040/c02604071.png ; $A _ { n } x _ { n } = y _ { n }$ ; confidence 0.869
+
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/w/w098/w098160/w09816057.png ; $Y \times X$ ; confidence 0.869
+
81. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048200/h0482005.png ; $Z = 1$ ; confidence 0.980
  
82. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005061.png ; $A u \in C ( ( 0 , T ] ; X )$ ; confidence 0.869
+
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/a/a120/a120100/a1201006.png ; $y ( t ) = e ^ { - t A } x = S ( t ) x$ ; confidence 0.869
+
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/a/a120/a120130/a12013020.png ; $X$ ; confidence 0.869
+
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/a/a130/a130240/a130240226.png ; $\zeta _ { r + 1 } = \ldots = \zeta _ { n } = 0$ ; confidence 0.868
+
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/a/a130/a130240/a130240209.png ; $S$ ; confidence 0.868
+
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/m/m120/m120160/m12016065.png ; $\Omega _ { p _ { 1 } n _ { 1 } } ( t ^ { \prime } t ^ { \prime } )$ ; confidence 0.868
+
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/p/p073/p073700/p073700205.png ; $l _ { n } = \# \{ s \in S : d ( s ) = n \}$ ; confidence 0.868
+
88. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090190/s090190160.png ; $X ( t _ { 1 } ) = x$ ; confidence 0.980
  
89. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650145.png ; $\phi * : H ^ { * } ( B / S ) = H ^ { * } ( T M ) \rightarrow H ^ { * } ( M )$ ; confidence 0.867
+
89. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032058.png ; $S ( L )$ ; confidence 0.980
  
90. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l05700011.png ; $M N$ ; confidence 0.867
+
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/l/l059/l059350/l05935013.png ; $x ^ { ( n ) } + \alpha _ { 1 } ( t ) x ^ { ( n - 1 ) } + \ldots + \alpha _ { n } ( t ) x = 0$ ; confidence 0.867
+
91. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097150/w0971508.png ; $\lambda = 2 \pi / | k |$ ; confidence 0.980
  
92. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042095.png ; $C ^ { * }$ ; confidence 0.866
+
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/d/d130/d130130/d1301309.png ; $z = r \operatorname { cos } \theta$ ; confidence 0.866
+
93. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012014.png ; $( h \neq 0 )$ ; confidence 0.980
  
94. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110230/d11023041.png ; $K = \overline { K } \cap L _ { m } ( G )$ ; confidence 0.866
+
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/e/e036/e036770/e03677067.png ; $\phi ^ { - 1 } ( b ) \cong P ^ { \prime } ( C )$ ; confidence 0.866
+
95. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a130070128.png ; $k > 8$ ; confidence 0.980
  
96. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e03696065.png ; $y _ { j } \delta \theta$ ; confidence 0.866
+
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/p/p075/p075350/p07535088.png ; $P _ { s } ^ { l } ( k )$ ; confidence 0.866
+
97. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050236.png ; $q > 1$ ; confidence 0.980
  
98. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s1202309.png ; $O ( r )$ ; confidence 0.866
+
98. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110700/a11070038.png ; $p \geq 2$ ; confidence 0.980
  
99. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110330/a11033029.png ; $N ^ { * * } = \operatorname { card } ( U _ { n } ^ { * * } ) / p$ ; confidence 0.865
+
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/m/m063/m063920/m063920116.png ; $\int \int K d S$ ; confidence 0.865
+
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/a/a130/a130240/a130240369.png ; $M _ { H } M _ { E } ^ { - 1 }$ ; confidence 0.865
+
101. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018021.png ; $\Gamma \subseteq \Delta$ ; confidence 0.980
  
102. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130090/a13009014.png ; $H ^ { 1 } ( X , Z _ { 2 } ) = 0$ ; confidence 0.864
+
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/a/a010/a010580/a0105806.png ; $y _ { n } + 1$ ; confidence 0.864
+
103. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040550/f04055042.png ; $F ( 1 ) ( V )$ ; confidence 0.980
  
104. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240240.png ; $\sigma ^ { 2 }$ ; confidence 0.864
+
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/b/b110/b110380/b11038070.png ; $\Theta f$ ; confidence 0.864
+
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/f/f041/f041250/f0412506.png ; $\infty \rightarrow \alpha / c$ ; confidence 0.864
+
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/m/m063/m063590/m06359074.png ; $F \mapsto F ( P )$ ; confidence 0.864
+
107. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097590/w09759045.png ; $E ( Q )$ ; confidence 0.980
  
108. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510139.png ; $L \subset Z ^ { 0 }$ ; confidence 0.864
+
108. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081080.png ; $n - k$ ; confidence 0.980
  
109. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087320/s08732031.png ; $\Pi ^ { * } \in C$ ; confidence 0.864
+
109. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130120/a13012015.png ; $t > 4$ ; confidence 0.980
  
110. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093770/t09377039.png ; $g = R ^ { \alpha } f$ ; confidence 0.864
+
110. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797053.png ; $\{ e \} \rightarrow G$ ; confidence 0.980
  
111. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310161.png ; $A W ^ { * }$ ; confidence 0.863
+
111. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110490/a11049020.png ; $F \in F _ { D }$ ; confidence 0.980
  
112. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240544.png ; $20$ ; confidence 0.863
+
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/a/a120/a120220/a12022013.png ; $T : X \rightarrow Y$ ; confidence 0.863
+
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/a/a120/a120050/a12005085.png ; $0 \leq t _ { 1 } \leq \ldots \leq t _ { k } \leq T$ ; confidence 0.863
+
114. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640116.png ; $p _ { 12 } > 1$ ; confidence 0.979
  
115. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c02278058.png ; $O ( X ) = \oplus _ { n = - \infty } ^ { + \infty } O ^ { n } ( X )$ ; confidence 0.863
+
115. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150029.png ; $\Omega ^ { \tau } [ X ]$ ; confidence 0.979
  
116. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590370.png ; $x _ { 0 } ^ { 2 } + \ldots + x _ { n } ^ { 2 } = 0$ ; confidence 0.863
+
116. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010146.png ; $( A )$ ; confidence 0.979
  
117. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012073.png ; $z | < R$ ; confidence 0.863
+
117. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e03696032.png ; $F _ { 0 } \subset F$ ; confidence 0.979
  
118. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010580/a0105808.png ; $h | v _ { 1 } \| ( \partial f / \partial y ) \| < 1$ ; confidence 0.863
+
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/a/a013/a013250/a01325015.png ; $\operatorname { arg } f$ ; confidence 0.862
+
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/k/k055/k055480/k05548036.png ; $\| g _ { \alpha \beta } \|$ ; confidence 0.862
+
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/p/p072/p072210/p07221037.png ; $F ^ { k }$ ; confidence 0.862
+
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/t/t093/t093330/t09333059.png ; $r _ { 2 } \in R$ ; confidence 0.862
+
122. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002022.png ; $F _ { 0 } = f$ ; confidence 0.979
  
123. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010580/a0105801.png ; $y ^ { \prime } = f ( x , y ) , \quad y ( x _ { 0 } ) = y 0$ ; confidence 0.862
+
123. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539015.png ; $\pi = \pi ( d \theta )$ ; confidence 0.979
  
124. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010017.png ; $x - x 0 \in K$ ; confidence 0.861
+
124. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016160/b01616036.png ; $0 < c < 1$ ; confidence 0.979
  
125. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007055.png ; $A _ { \alpha } ( x ) = \operatorname { card } \{ n \leq x :$ ; confidence 0.861
+
125. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033790/d03379012.png ; $D \backslash K$ ; confidence 0.979
  
126. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081430/r08143081.png ; $e X$ ; confidence 0.861
+
126. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g043810238.png ; $x u = 0$ ; confidence 0.979
  
127. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026980/c02698053.png ; $E _ { 8 }$ ; confidence 0.860
+
127. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058660/l05866027.png ; $G \subset N ( F )$ ; confidence 0.979
  
128. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066520/n06652019.png ; $\epsilon < \epsilon ^ { \prime } < \ldots$ ; confidence 0.860
+
128. https://www.encyclopediaofmath.org/legacyimages/l/l061/l061160/l06116099.png ; $V _ { 0 } \subset E$ ; confidence 0.979
  
129. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097670/w097670169.png ; $\operatorname { gr } ( A _ { 1 } ( K ) )$ ; confidence 0.860
+
129. https://www.encyclopediaofmath.org/legacyimages/n/n110/n110010/n11001011.png ; $L _ { \infty } ( T )$ ; confidence 0.979
  
130. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110350/a1103507.png ; $e ^ { \lambda z }$ ; confidence 0.860
+
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/a/a120/a120100/a12010075.png ; $R$ ; confidence 0.859
+
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/a/a110/a110040/a110040106.png ; $L ] = \lambda$ ; confidence 0.859
+
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/a/a130/a130240/a130240341.png ; $Z , \Gamma , F$ ; confidence 0.859
+
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/b/b017/b017800/b01780053.png ; $n = p$ ; confidence 0.858
+
134. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087260/s08726044.png ; $\eta _ { 0 } ( i )$ ; confidence 0.979
  
135. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025470/c02547063.png ; $\alpha = d t + \sum p _ { i } d q _ { i }$ ; confidence 0.858
+
135. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090760/s09076071.png ; $l [ f ] = 0$ ; confidence 0.979
  
136. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130020/e13002010.png ; $\varphi$ ; confidence 0.858
+
136. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130100/t1301005.png ; $\square _ { H } T$ ; confidence 0.979
  
137. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063920/m063920117.png ; $\int \int K d S \leq 2 \pi ( \chi - k )$ ; confidence 0.858
+
137. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016039.png ; $b A$ ; confidence 0.979
  
138. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082570/r08257030.png ; $j 2 ^ { - k - l }$ ; confidence 0.858
+
138. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450202.png ; $y = \psi ( z )$ ; confidence 0.979
  
139. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240391.png ; $( M _ { H } M _ { E } ^ { - 1 } ) >$ ; confidence 0.858
+
139. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590522.png ; $x _ { 0 } \in H$ ; confidence 0.979
  
140. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240384.png ; $q \geq 2$ ; confidence 0.857
+
140. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600223.png ; $( \alpha / \beta ) _ { n }$ ; confidence 0.979
  
141. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052076.png ; $A h ^ { - } q$ ; confidence 0.857
+
141. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a011300163.png ; $\Delta _ { i } = 1$ ; confidence 0.979
  
142. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a1301304.png ; $8$ ; confidence 0.857
+
142. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590646.png ; $x = x ( u , v )$ ; confidence 0.979
  
143. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240354.png ; $E ( Z _ { 2 } )$ ; confidence 0.857
+
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/e/e036/e036910/e03691052.png ; $z = \operatorname { ln } \alpha = \operatorname { ln } | \alpha | + i \operatorname { Arg } \alpha$ ; confidence 0.857
+
144. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011160/a01116023.png ; $X$ ; confidence 0.979
  
145. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058820/l058820245.png ; $\operatorname { lim } _ { x \rightarrow x _ { 0 } } ( f _ { 1 } ( x ) / f _ { 2 } ( x ) )$ ; confidence 0.857
+
145. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040202.png ; $\varphi _ { L } ( A )$ ; confidence 0.979
  
146. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016055.png ; $\langle p _ { k } , A p _ { k - 1 } \rangle = 0$ ; confidence 0.856
+
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/a/a110/a110040/a110040206.png ; $\{ \sigma = 0 \} \subset P ^ { 4 }$ ; confidence 0.856
+
147. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011070/a01107011.png ; $M _ { 1 }$ ; confidence 0.979
  
148. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004020.png ; $a$ ; confidence 0.856
+
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/c/c021/c021620/c02162087.png ; $\kappa ( \eta ^ { q } ) \in H ^ { 2 q } ( B )$ ; confidence 0.856
+
149. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210121.png ; $\Omega ( a )$ ; confidence 0.979
  
150. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036980/e03698026.png ; $\alpha : G \rightarrow \operatorname { Aut } A$ ; confidence 0.856
+
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/a/a130/a130070/a13007010.png ; $2 ^ { n } p$ ; confidence 0.856
+
151. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095400/u09540020.png ; $K = p > 0$ ; confidence 0.978
  
152. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240513.png ; $T _ { 2 }$ ; confidence 0.856
+
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/b/b016/b016170/b01617013.png ; $F _ { n } ( z )$ ; confidence 0.855
+
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/f/f041/f041310/f04131029.png ; $\Lambda = \frac { \partial } { \partial x } + i \frac { \partial } { \partial y }$ ; confidence 0.855
+
154. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600157.png ; $m = 1$ ; confidence 0.978
  
155. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010680/a01068028.png ; $k _ { 0 } ( A )$ ; confidence 0.855
+
155. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055047.png ; $( g , x ) \rightarrow x$ ; confidence 0.978
  
156. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010600/a01060041.png ; $\cup _ { z \subset Z } \{ \sum _ { i } ( Y _ { z } \cap A _ { i } ) \}$ ; confidence 0.854
+
156. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797062.png ; $p : G \rightarrow \{ e \}$ ; confidence 0.978
  
157. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010710/a01071041.png ; $( M )$ ; confidence 0.854
+
157. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059250/l05925094.png ; $| K | = 2,3$ ; confidence 0.978
  
158. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130060/b13006060.png ; $b _ { i }$ ; confidence 0.854
+
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/d/d033/d033460/d033460124.png ; $| F _ { 0 } ^ { \prime } ( \zeta _ { 0 } ) | \leq | F ^ { \prime } ( \zeta _ { 0 } ) | \leq | F _ { \pi / 2 } ^ { \prime } ( \zeta _ { 0 } ) |$ ; confidence 0.854
+
159. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210133.png ; $g = 1$ ; confidence 0.978
  
160. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086960/s08696076.png ; $V < 0$ ; confidence 0.854
+
160. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032490/d03249015.png ; $d ( p )$ ; confidence 0.978
  
161. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028078.png ; $c ( G )$ ; confidence 0.853
+
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/a/a010/a010520/a01052014.png ; $( A ) = \| A \| A ^ { - 1 } \|$ ; confidence 0.853
+
162. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001048.png ; $( S , g )$ ; confidence 0.978
  
163. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539056.png ; $\delta ^ { * } ( x ) = \left\{ \begin{array} { l l } { d _ { 1 } , } & { \text { if } \frac { p ( x | \theta _ { 2 } ) } { p ( x | \theta _ { 1 } ) } \leq \frac { \pi _ { 1 } } { \pi _ { 2 } } \frac { L _ { 12 } - L _ { 11 } } { L _ { 21 } - L _ { 22 } } } \\ { d _ { 2 } , } & { \text { if } \frac { p ( x | \theta _ { 2 } ) } { p ( x | \theta _ { 1 } ) } \geq \frac { \pi _ { 1 } } { \pi _ { 2 } } \frac { L _ { 12 } - L _ { 11 } } { L _ { 21 } - L _ { 22 } } } \end{array} \right.$ ; confidence 0.853
+
163. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110450/c11045018.png ; $2 ^ { \lambda }$ ; confidence 0.978
  
164. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012068.png ; $\{ \nu _ { k } \} \cap \{ \mu _ { n } \} = \emptyset$ ; confidence 0.853
+
164. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110150/a11015012.png ; $F ( . | S )$ ; confidence 0.978
  
165. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028029.png ; $f : V ( G ) \rightarrow \{ 1 , \ldots , k \}$ ; confidence 0.853
+
165. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081370/r08137017.png ; $\phi ^ { a }$ ; confidence 0.978
  
166. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007058.png ; $x \operatorname { exp } ( - 8 ( \operatorname { log } x \operatorname { log } \operatorname { log } x ) ^ { 1 / 2 } ) < A _ { 2 } ( x ) <$ ; 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/a/a110/a110010/a11001017.png ; $x = A ^ { - 1 } b$ ; confidence 0.852
+
167. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042078.png ; $4$ ; confidence 0.978
  
168. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240302.png ; $\hat { \eta } \omega$ ; confidence 0.852
+
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/d/d033/d033980/d03398025.png ; $\sum _ { m = 1 } ^ { \infty } u _ { m n n }$ ; confidence 0.852
+
169. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a1201008.png ; $y ( 0 ) = x$ ; confidence 0.978
  
170. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035110/e03511022.png ; $\Sigma - 1$ ; confidence 0.852
+
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/t092600/t092600123.png ; $B = I _ { p }$ ; confidence 0.852
+
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/c/c023/c023250/c023250173.png ; $\beta _ { 0 }$ ; confidence 0.851
+
172. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539038.png ; $\delta ^ { * } ( x )$ ; confidence 0.978
  
173. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110050/h11005031.png ; $w _ { 2 } = f ( r _ { 1 } ) \ldots f ( r _ { n } )$ ; confidence 0.851
+
173. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023150/c023150259.png ; $\beta \circ \beta = 0$ ; confidence 0.978
  
174. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059110/l05911087.png ; $l _ { 2 } u = \phi _ { 2 } ( t )$ ; confidence 0.851
+
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/l/l120/l120120/l120120133.png ; $( K _ { p } ) _ { i n s }$ ; confidence 0.851
+
175. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030870/d03087032.png ; $\pi ( \chi )$ ; confidence 0.978
  
176. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110170/a11017030.png ; $X \in S ( t )$ ; confidence 0.850
+
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/a/a110/a110010/a11001029.png ; $| b | \leq \| A |$ ; confidence 0.850
+
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/a/a130/a130040/a130040143.png ; $S 5$ ; confidence 0.850
+
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/c/c130/c130250/c13025017.png ; $Y _ { j } = i$ ; confidence 0.850
+
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/i/i050/i050950/i05095033.png ; $S = \frac { K } { 3 }$ ; confidence 0.850
+
180. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075400/p07540018.png ; $F \subset G$ ; confidence 0.978
  
181. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040433.png ; $h : A \rightarrow B$ ; confidence 0.850
+
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/a/a010/a010520/a01052043.png ; $A _ { k } ^ { 1 } = \alpha _ { 2 k - 1 } + \alpha _ { 2 k }$ ; confidence 0.850
+
182. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083470/s08347010.png ; $D ^ { - 1 } \in \pi$ ; confidence 0.978
  
183. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008066.png ; $X \leftarrow m + T s E$ ; confidence 0.850
+
183. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095410/u09541052.png ; $g ^ { p } = e$ ; confidence 0.978
  
184. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c02278052.png ; $N \gg n$ ; confidence 0.849
+
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/c/c024/c024890/c0248905.png ; $\alpha ( x ) - b ( x ) = f ( x ) g ( x ) + p h ( x )$ ; confidence 0.849
+
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/f/f040/f040230/f040230100.png ; $x _ { n } = n$ ; confidence 0.849
+
186. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110150/f11015085.png ; $S ( A )$ ; confidence 0.978
  
187. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064580/m06458025.png ; $k _ { 1 } + \ldots + k _ { n } = k$ ; confidence 0.849
+
187. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007093.png ; $\alpha \leq 2$ ; confidence 0.978
  
188. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004044.png ; $( Z / d _ { 1 } Z ) ^ { 2 } \times ( Z / d _ { 2 } Z ) ^ { 2 }$ ; confidence 0.848
+
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/a/a130/a130060/a13006075.png ; $\operatorname { lim } _ { n \rightarrow \infty } \frac { P ^ { \# } ( n ) } { G ^ { \# } ( n ) } = 1$ ; confidence 0.848
+
189. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240140.png ; $\psi = c ^ { \prime } \beta$ ; confidence 0.978
  
190. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044470/g044470103.png ; $\psi \circ \phi = \phi ^ { \prime } \circ \psi$ ; confidence 0.848
+
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/n/n066/n066890/n06689067.png ; $v = 1.1 m / sec$ ; confidence 0.848
+
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/a/a110/a110680/a110680179.png ; $\phi _ { x y } a \leq b$ ; confidence 0.847
+
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/d/d130/d130080/d13008069.png ; $H = C ^ { n }$ ; confidence 0.847
+
193. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040176.png ; $\{ a , b \}$ ; confidence 0.977
  
194. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040737.png ; $= 0$ ; confidence 0.847
+
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/a/a130/a130060/a13006041.png ; $\partial ( \alpha ) = \operatorname { deg } ( \alpha )$ ; confidence 0.846
+
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/a/a130/a130040/a130040468.png ; $CPC$ ; confidence 0.846
+
196. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120492.png ; $X ^ { \prime } = F$ ; confidence 0.977
  
197. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a130130103.png ; $K P$ ; confidence 0.846
+
197. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010760/a0107603.png ; $\omega ( s )$ ; confidence 0.977
  
198. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110580/a11058047.png ; $= v : q$ ; confidence 0.846
+
198. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012041.png ; $( I - A ) v = c$ ; confidence 0.977
  
199. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120070/e12007012.png ; $\Gamma _ { q }$ ; confidence 0.846
+
199. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797024.png ; $\iota ^ { * } : A ^ { * } \rightarrow K$ ; confidence 0.977
  
200. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120080/f120080162.png ; $L _ { q } ( X )$ ; confidence 0.846
+
200. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120502.png ; $\{ H , G / H ^ { 0 } \}$ ; confidence 0.977
  
201. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a120160130.png ; $W E = R . F . I$ ; confidence 0.845
+
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/e/e036/e036070/e03607020.png ; $\tau _ { n } ^ { ( B ) }$ ; confidence 0.845
+
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/l/l058/l058820/l058820138.png ; $\operatorname { lim } _ { x \rightarrow x _ { 0 } } f ( x ) = \alpha$ ; confidence 0.845
+
203. https://www.encyclopediaofmath.org/legacyimages/i/i053/i053060/i0530603.png ; $g = k a n$ ; confidence 0.977
  
204. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064720/m0647206.png ; $f _ { E } ^ { \prime } ( \zeta )$ ; confidence 0.845
+
204. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a01146087.png ; $C _ { \tau } ( X )$ ; confidence 0.977
  
205. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070220/o07022036.png ; $E$ ; confidence 0.845
+
205. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010760/a01076026.png ; $s = \epsilon t$ ; confidence 0.977
  
206. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074690/p07469030.png ; $\pi G ( x ) = b$ ; confidence 0.845
+
206. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090322.png ; $\Lambda ( V )$ ; confidence 0.977
  
207. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082230/r0822307.png ; $| x _ { i } | \leq 1$ ; confidence 0.845
+
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/a/a110/a110250/a11025014.png ; $\operatorname { ln } k$ ; confidence 0.845
+
208. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017035.png ; $< 1$ ; confidence 0.977
  
209. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046082.png ; $P _ { n } ( x ) = \delta ^ { n } f ( 0 , x ) / n !$ ; confidence 0.844
+
209. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120180/a12018097.png ; $x = F ( x )$ ; confidence 0.977
  
210. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110110/a11011013.png ; $\cap$ ; confidence 0.844
+
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/a/a010/a010220/a01022026.png ; $C ^ { p } / \Gamma$ ; confidence 0.843
+
211. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081034.png ; $A ^ { * } ( t )$ ; confidence 0.977
  
212. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040623.png ; $\Gamma \vDash S _ { P } \varphi$ ; confidence 0.843
+
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/a/a120/a120310/a12031093.png ; $I _ { 1 }$ ; confidence 0.843
+
213. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016079.png ; $1 / ( 1 - \lambda )$ ; confidence 0.977
  
214. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c120210117.png ; $\Lambda _ { n } ( \theta ) - h ^ { \prime } \Delta _ { n } ( \theta ) \rightarrow - \frac { 1 } { 2 } h ^ { \prime } \Gamma ( \theta ) h$ ; confidence 0.843
+
214. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164040.png ; $q ( V )$ ; confidence 0.977
  
215. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120010/j12001037.png ; $\operatorname { log } F \leq 100$ ; confidence 0.843
+
215. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680125.png ; $p / p$ ; confidence 0.977
  
216. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075350/p07535017.png ; $q IL$ ; confidence 0.843
+
216. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a11068053.png ; $r ^ { \prime } < r$ ; confidence 0.977
  
217. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010027.png ; $2 ^ { X }$ ; confidence 0.843
+
217. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120030/k12003040.png ; $E = \emptyset$ ; confidence 0.977
  
218. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001087.png ; $= \| ( I - ( I - B A ) ) ^ { - 1 } B r \| \leq$ ; confidence 0.843
+
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/a/a130/a130240/a130240357.png ; $n - r \geq p$ ; confidence 0.843
+
219. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062590/m06259044.png ; $V _ { [ r ] }$ ; confidence 0.977
  
220. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120110/a1201102.png ; $\varphi ( \alpha , b , 0 ) = \alpha + b$ ; confidence 0.842
+
220. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062620/m062620207.png ; $R _ { + } ^ { l }$ ; confidence 0.977
  
221. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042077.png ; $K _ { 0 } ( \varphi ) = K _ { 0 } ( \psi )$ ; confidence 0.842
+
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/i/i050/i050230/i050230312.png ; $- \infty < r < \infty$ ; confidence 0.842
+
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/i/i051/i051880/i05188051.png ; $\mathfrak { M } \in S _ { 1 }$ ; confidence 0.842
+
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/a/a120/a120220/a1202209.png ; $x | < e$ ; confidence 0.841
+
224. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900122.png ; $Q = U U ^ { * }$ ; confidence 0.977
  
225. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082290/r08229026.png ; $y _ { n } \leq x _ { n } \leq z _ { n }$ ; confidence 0.841
+
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/a/a110/a110010/a11001044.png ; $k ( A ) = 10 ^ { p }$ ; confidence 0.841
+
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/a/a120/a120070/a12007076.png ; $| \frac { d } { d t } A ( t ) ^ { - 1 } - \frac { d } { d s } A ( s ) ^ { - 1 } \| \leq K _ { 2 } | t - s | ^ { \eta }$ ; confidence 0.840
+
227. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820167.png ; $F _ { \pi } ( \overline { m } )$ ; confidence 0.977
  
228. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031950/d03195033.png ; $L u = \operatorname { div } ( p ( x ) \operatorname { grad } u ) + q ( x ) u$ ; confidence 0.840
+
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/e/e037/e037080/e03708073.png ; $x _ { i } ^ { 2 } = 0$ ; confidence 0.840
+
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/f/f120/f120110/f12011010.png ; $| \varphi ( z ) | ^ { 2 } e ^ { \delta | z | }$ ; confidence 0.840
+
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/g/g120/g120070/g12007022.png ; $m \equiv 4$ ; confidence 0.840
+
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/r/r077/r077260/r07726020.png ; $\zeta _ { 2 n } = \sqrt { - 2 \operatorname { ln } \xi _ { 2 n } } \operatorname { sin } 2 \pi \xi _ { 2 n - 1 }$ ; confidence 0.840
+
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/a/a010/a010220/a01022039.png ; $A l ( z ) = A l ( z _ { 1 } , \dots , z _ { p } ) =$ ; confidence 0.840
+
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/a/a110/a110150/a11015035.png ; $F ( . | \theta ( S ) )$ ; confidence 0.840
+
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/a/a110/a110010/a110010188.png ; $M _ { i } = \{ z : | z - \lambda _ { i } | \leq \| T ^ { - 1 } \| \| T \| \delta A \| \}$ ; confidence 0.839
+
235. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010860/a01086014.png ; $x ( \phi ) = x ( \phi )$ ; confidence 0.977
  
236. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020740/c020740328.png ; $e \in E$ ; confidence 0.839
+
236. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130140/a13014042.png ; $X \geq 3$ ; confidence 0.977
  
237. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300102.png ; $C$ ; confidence 0.838
+
237. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016048.png ; $g ( W )$ ; confidence 0.977
  
238. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022031.png ; $0 \leq S \leq T$ ; confidence 0.838
+
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/m/m062/m062490/m06249026.png ; $\Lambda \in N ^ { t }$ ; confidence 0.838
+
239. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600257.png ; $A _ { 1 } / L _ { 1 }$ ; confidence 0.977
  
240. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024069.png ; $y _ { i j k }$ ; confidence 0.838
+
240. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120383.png ; $F ^ { * } ( z )$ ; confidence 0.977
  
241. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110080/a11008026.png ; $s = \eta c / \omega$ ; confidence 0.837
+
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/a/a120/a120070/a12007026.png ; $\leq K _ { 0 } \sum _ { i = 1 } ^ { k } ( t - s ) ^ { \alpha _ { i } } | \lambda | ^ { \beta _ { i } - 1 } , \lambda \in S _ { \theta _ { 0 } } \backslash \{ 0 \} , \quad 0 \leq s \leq t \leq T$ ; confidence 0.837
+
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/k/k055/k055450/k0554502.png ; $u | _ { \Sigma } = 0$ ; confidence 0.837
+
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/l/l059/l059250/l05925090.png ; $v \in ( 1 - t ) V$ ; confidence 0.837
+
244. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011100/a01110054.png ; $A _ { 1 }$ ; confidence 0.977
  
245. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085620/s085620184.png ; $f _ { t } = h _ { t } \circ f _ { 0 } \circ k _ { t }$ ; confidence 0.837
+
245. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110410/a11041082.png ; $\tau > n / 2 + 1$ ; confidence 0.977
  
246. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090450/s09045062.png ; $\zeta ^ { \phi } \in C ^ { d }$ ; confidence 0.837
+
246. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a01130054.png ; $M ( k )$ ; confidence 0.977
  
247. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010301.png ; $f ^ { ( r ) } ( \lambda )$ ; confidence 0.837
+
247. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018012.png ; $1$ ; confidence 0.977
  
248. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240168.png ; $\alpha , = 0$ ; confidence 0.837
+
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/a/a130/a130040/a130040144.png ; $\varphi \equiv \psi ( \operatorname { mod } \Lambda _ { S 5 } T )$ ; confidence 0.837
+
249. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018052.png ; $\beta > 0$ ; confidence 0.976
  
250. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012045.png ; $S _ { \alpha } = W _ { 1 } , \quad W _ { \alpha } = W _ { 1 } , \quad 0 \leq \alpha < \infty$ ; confidence 0.837
+
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/a/a010/a010330/a01033019.png ; $\operatorname { log } \beta _ { \gamma }$ ; confidence 0.836
+
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/a/a120/a120130/a12013043.png ; $h _ { \theta } ^ { * } = \nabla h ( \theta ^ { * } )$ ; confidence 0.836
+
252. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081094.png ; $\lambda , \mu$ ; confidence 0.976
  
253. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032610/d03261012.png ; $y = y _ { 0 } - a n$ ; confidence 0.836
+
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/j/j054/j054050/j05405060.png ; $H _ { 2 } = \prod _ { m = 1 } ^ { \infty } ( 1 + e ^ { ( 2 m - 1 ) i \pi \tau } )$ ; confidence 0.836
+
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/a/a130/a130040/a130040284.png ; $\square x \rightarrow y$ ; confidence 0.836
+
255. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s1300405.png ; $X = \Gamma \backslash H$ ; confidence 0.976
  
256. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052023.png ; $\| A \| _ { E } = ( \sum a _ { i j } ^ { 2 } ) ^ { 1 / 2 }$ ; confidence 0.835
+
256. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006055.png ; $\partial ( I )$ ; confidence 0.976
  
257. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110100/b11010099.png ; $\| T \| T ^ { - 1 } \| \geq c n$ ; confidence 0.835
+
257. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004070.png ; $d _ { 1 } = 2$ ; confidence 0.976
  
258. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025440/c02544025.png ; $D ^ { + } = \cup _ { k = 1 } ^ { m } D _ { k }$ ; confidence 0.835
+
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/c/c110/c110410/c11041081.png ; $\{ X _ { t } : t \in T \}$ ; confidence 0.835
+
259. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030620/d03062025.png ; $R = \infty$ ; confidence 0.976
  
260. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240429.png ; $\Theta$ ; confidence 0.834
+
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/a/a011/a011650/a011650252.png ; $\forall x _ { k }$ ; confidence 0.834
+
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/e/e110/e110070/e11007046.png ; $C x ^ { - 1 }$ ; confidence 0.834
+
262. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110410/c11041079.png ; $A ^ { * } B$ ; confidence 0.976
  
263. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041250/f0412503.png ; $z \rightarrow w = L ( z ) = \frac { a z + b } { c z + d }$ ; confidence 0.834
+
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/a/a014/a014060/a01406076.png ; $\mathfrak { A } _ { s _ { 1 } }$ ; confidence 0.833
+
264. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032110/d03211024.png ; $z = \phi _ { i }$ ; confidence 0.976
  
265. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015350/b01535027.png ; $\alpha _ { i } \in \Omega$ ; confidence 0.833
+
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/d/d031/d031830/d031830269.png ; $\operatorname { ord } ( \theta ) = \sum e$ ; confidence 0.833
+
266. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040230/f040230157.png ; $\Delta ^ { n } f ( x )$ ; confidence 0.976
  
267. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062590/m06259032.png ; $B = 0$ ; confidence 0.833
+
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/a/a130/a130060/a130060130.png ; $90 > 1$ ; confidence 0.833
+
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/a/a010/a010460/a01046038.png ; $D \subset C$ ; confidence 0.833
+
269. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110060/l1100603.png ; $x ^ { ( 0 ) } = 1$ ; confidence 0.976
  
270. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024082.png ; $\partial L = a$ ; confidence 0.832
+
270. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059340/l059340144.png ; $C _ { 0 } ( R )$ ; confidence 0.976
  
271. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010680/a01068037.png ; $d ( A _ { i } )$ ; confidence 0.832
+
271. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067640/n06764043.png ; $\Omega _ { X }$ ; confidence 0.976
  
272. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015580/b0155806.png ; $p _ { i } = \nu ( \alpha _ { i } )$ ; confidence 0.832
+
272. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110120/p110120376.png ; $E _ { i } ( x )$ ; confidence 0.976
  
273. 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
+
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/a/a130/a130130/a13013041.png ; $\sum _ { i = 0 } ^ { \infty } X _ { i } z ^ { - i }$ ; confidence 0.831
+
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/d/d032/d032250/d03225022.png ; $\partial M$ ; confidence 0.831
+
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/i/i130/i130080/i13008028.png ; $X ^ { \prime \prime } = L _ { 1 } ^ { \prime \prime } \cap L _ { 2 } ^ { \prime \prime } = L _ { 2 } ^ { \prime \prime } \cap L _ { 3 } ^ { \prime \prime } = L _ { 1 } ^ { \prime \prime } \cap L _ { 3 } ^ { \prime \prime }$ ; confidence 0.831
+
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/s/s130/s130640/s13064057.png ; $L ^ { 1 } ( R ) \cap L ^ { \infty } ( R )$ ; confidence 0.831
+
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/a/a120/a120070/a12007095.png ; $\frac { \partial u } { \partial t } = L ( t , x , D _ { x } ) u + f ( t , x ) \text { in } [ 0 , T ] \times \Omega$ ; confidence 0.831
+
278. https://www.encyclopediaofmath.org/legacyimages/y/y110/y110010/y11001021.png ; $J ( \phi )$ ; confidence 0.976
  
279. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046041.png ; $L \subset D$ ; confidence 0.831
+
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/a/a110/a110100/a11010070.png ; $K ( M )$ ; confidence 0.831
+
280. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011160/a01116032.png ; $X ( k )$ ; confidence 0.976
  
281. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023140/c023140243.png ; $u \mapsto \rho ( u ) - \operatorname { Tr } ( \text { ad } u ) \in \operatorname { End } _ { K } ( M )$ ; confidence 0.830
+
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/s/s090/s090770/s090770137.png ; $\lambda _ { 1 } < \lambda _ { 2 } < \ldots$ ; confidence 0.830
+
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/a/a120/a120110/a1201104.png ; $\varphi ( \alpha , 0 , i ) = \alpha \text { for } i \geq 3 , \varphi ( \alpha , b , i ) = \varphi ( \alpha , \varphi ( \alpha , b - 1 , i ) , i - 1 ) \text { for } i \geq 1 , b \geq 1$ ; confidence 0.829
+
283. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a01160051.png ; $K \rightarrow R$ ; confidence 0.976
  
284. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010264.png ; $1 / m$ ; confidence 0.829
+
284. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120180/a12018023.png ; $\lambda | > 1$ ; confidence 0.976
  
285. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006027.png ; $A ; \in A$ ; confidence 0.829
+
285. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017032.png ; $< 0$ ; confidence 0.976
  
286. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015720/b01572032.png ; $+ \frac { \alpha } { u } [ \alpha ( \frac { \partial u } { \partial x } ) ^ { 2 } + 2 b \frac { \partial u } { \partial x } \frac { \partial u } { \partial y } + c ( \frac { \partial u } { \partial y } ) ^ { 2 } ] +$ ; confidence 0.828
+
286. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820100.png ; $Z \rightarrow A$ ; confidence 0.976
  
287. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031680/d03168056.png ; $q _ { 2 } \neq q _ { 1 }$ ; confidence 0.828
+
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/l/l059/l059490/l059490217.png ; $\rho ^ { ( j ) }$ ; confidence 0.828
+
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/s/s083/s083000/s08300044.png ; $D _ { n } X _ { 1 }$ ; confidence 0.828
+
289. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120415.png ; $x ^ { \prime } \in G$ ; confidence 0.976
  
290. https://www.encyclopediaofmath.org/legacyimages/y/y110/y110010/y11001011.png ; $g ^ { \prime } = \phi ^ { 4 / ( n - 2 ) } g$ ; confidence 0.828
+
290. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004061.png ; $h ( \varphi )$ ; confidence 0.976
  
291. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002036.png ; $g \mapsto g ^ { t }$ ; confidence 0.827
+
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/a/a010/a010210/a01021031.png ; $\| \omega \| ^ { 2 } = i \sum _ { j = 1 } ^ { g } ( A _ { j } \overline { B } _ { j } - B _ { j } \overline { A } _ { j } ) \geq 0$ ; confidence 0.827
+
292. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058760/l05876065.png ; $\phi ( b )$ ; confidence 0.975
  
293. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110050/c11005010.png ; $CW ( 9.63 )$ ; confidence 0.827
+
293. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240186.png ; $b$ ; confidence 0.975
  
294. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075480/p0754802.png ; $( p \supset ( q \supset r ) ) \supset ( ( p \supset q ) \supset ( p \supset r ) )$ ; confidence 0.827
+
294. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054091.png ; $K _ { 2 } R$ ; confidence 0.975
  
295. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075830/p0758301.png ; $a \vee b$ ; confidence 0.827
+
295. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310115.png ; $G$ ; confidence 0.975
  
296. 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
+
296. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150013.png ; $\theta$ ; confidence 0.975
  
297. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a11022081.png ; $f ( h ) = g ( ( h , h _ { 1 } ) , \ldots , ( h , h _ { j } ) )$ ; confidence 0.827
+
297. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081030/r08103038.png ; $W _ { k } ( G )$ ; confidence 0.975
  
298. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013052.png ; $\overline { \theta } _ { n } = \overline { \theta } _ { n - 1 } + \frac { 1 } { n } ( \theta _ { n - 1 } - \overline { \theta } _ { n - 1 } )$ ; confidence 0.827
+
298. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240167.png ; $\sum \alpha _ { i } = 0$ ; confidence 0.975
  
299. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130090/c13009010.png ; $x _ { j } = \operatorname { cos } ( \pi j / N )$ ; confidence 0.826
+
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/o/o070/o070340/o07034097.png ; $y = K _ { n } ( x )$ ; confidence 0.826
+
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=43938