Namespaces
Variants
Actions

Difference between revisions of "User:Maximilian Janisch/latexlist/latex/12"

From Encyclopedia of Mathematics
Jump to: navigation, search
(AUTOMATIC EDIT of page 12 out of 19 with 300 lines: Updated image/latex database (currently 5483 images latexified; order by Confidence, ascending: False.)
(AUTOMATIC EDIT of page 12 out of 35 with 300 lines: Updated image/latex database (currently 10225 images latexified; order by Confidence, ascending: False.)
 
Line 1: Line 1:
 
== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010420/a0104205.png ; $\{ Y _ { N } \}$ ; confidence 0.760
+
1. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044470/g04447072.png ; $q ^ { \prime } \in A ^ { \prime }$ ; confidence 0.966
  
2. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025420/c025420100.png ; $\neg \neg \exists x R \supset \exists x R$ ; confidence 0.760
+
2. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047860/h047860136.png ; $n = r \neq 0$ ; confidence 0.966
  
3. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027480/c027480106.png ; $\Sigma _ { S }$ ; confidence 0.760
+
3. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055940/k05594016.png ; $\frac { d \xi } { d t } = \epsilon X _ { 0 } ( \xi ) + \epsilon ^ { 2 } P _ { 2 } ( \xi ) + \ldots + \epsilon ^ { m } P _ { m } ( \xi )$ ; confidence 0.966
  
4. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820173.png ; $F ( \overline { m } )$ ; confidence 0.760
+
4. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062160/m06216027.png ; $p < q$ ; confidence 0.966
  
5. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240517.png ; $V _ { j j ^ { \prime } } = Z _ { 3 j } ^ { \prime } Z _ { 3 j }$ ; confidence 0.760
+
5. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m13026036.png ; $x \lambda ( y ) = \rho ( x ) y$ ; confidence 0.966
  
6. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008051.png ; $= \frac { d \operatorname { ln } g ( R ; m , s ) } { d m } \frac { d \operatorname { ln } g ( L ; m , s ) } { d s }$ ; confidence 0.759
+
6. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070240/o07024025.png ; $- \beta V$ ; confidence 0.966
  
7. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022010.png ; $X = c 0$ ; confidence 0.759
+
7. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077130/r07713084.png ; $r _ { 1 } > r _ { 2 }$ ; confidence 0.966
  
8. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110090/b1100902.png ; $l ^ { \infty } ( N )$ ; confidence 0.759
+
8. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s13051063.png ; $\Gamma = \Gamma _ { 1 } + \ldots + \Gamma _ { m }$ ; confidence 0.966
  
9. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210102.png ; $k = 1 , \ldots , g$ ; confidence 0.759
+
9. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086960/s08696030.png ; $\| x _ { 0 } \| \leq \delta$ ; confidence 0.966
  
10. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036230/e03623076.png ; $2 d \geq n$ ; confidence 0.758
+
10. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097720/w0977202.png ; $f ( x ) = \alpha _ { n } x ^ { n } + \ldots + \alpha _ { 1 } x$ ; confidence 0.966
  
11. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050730/i050730155.png ; $\nu _ { S }$ ; confidence 0.758
+
11. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014081.png ; $98$ ; confidence 0.966
  
12. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011820/a011820124.png ; $M \times N$ ; confidence 0.757
+
12. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058480/l05848095.png ; $V$ ; confidence 0.966
  
13. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048310/h04831085.png ; $\alpha = a ( x )$ ; confidence 0.757
+
13. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a01165036.png ; $J = J ^ { \prime }$ ; confidence 0.966
  
14. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006064.png ; $G _ { R }$ ; confidence 0.757
+
14. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h04769096.png ; $H ^ { * } ( G / H ; R )$ ; confidence 0.966
  
15. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l05700010.png ; $( \lambda x M ) \in \Lambda$ ; confidence 0.756
+
15. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040026.png ; $M = G / H$ ; confidence 0.966
  
16. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013670/a01367016.png ; $J _ { \nu } ( x ) \sim \sqrt { \frac { 2 } { \pi x } } [ \operatorname { cos } ( x - \frac { \pi \nu } { 2 } - \frac { \pi } { 4 } ) \sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } \alpha _ { 2 n } x ^ { - 2 n }$ ; confidence 0.755
+
16. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064510/m06451090.png ; $( S , \operatorname { Pic } ^ { 0 } X / S )$ ; confidence 0.966
  
17. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120140/p12014039.png ; $E _ { r } = S \cup T$ ; confidence 0.755
+
17. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110410/a1104102.png ; $K _ { X } = \operatorname { det } T _ { X } ^ { * }$ ; confidence 0.965
  
18. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073020/p07302077.png ; $L ( R ) \otimes _ { K } H _ { n } ( R ) = R$ ; confidence 0.755
+
18. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010800/a0108006.png ; $X , Y$ ; confidence 0.965
  
19. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085790/s08579085.png ; $\sum _ { l = 1 } ^ { \infty } \frac { \operatorname { ln } q + 1 } { q l }$ ; confidence 0.755
+
19. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085900/s08590025.png ; $m - d$ ; confidence 0.965
  
20. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a130070129.png ; $n = 1.3 .5 . . ( 2 k - 1 )$ ; confidence 0.755
+
20. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040550/f0405508.png ; $V _ { 1 } \subset \ldots \subset V _ { k }$ ; confidence 0.965
  
21. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004074.png ; $M$ ; confidence 0.754
+
21. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010840/a01084028.png ; $M \rightarrow M ^ { * }$ ; confidence 0.965
  
22. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a0101207.png ; $\sum _ { n = 0 } ^ { \infty } f ^ { ( n ) } ( \lambda _ { n } ) P _ { n } ( z )$ ; confidence 0.754
+
22. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s130540109.png ; $K _ { 0 } R$ ; confidence 0.965
  
23. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013670/a0136709.png ; $f ( x ) \sim \sum _ { n = 0 } ^ { \infty } a _ { n } \phi _ { n } ( x ) \quad ( x \rightarrow x _ { 0 } )$ ; confidence 0.754
+
23. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120545.png ; $F ( x , y ) \rightarrow \text { inf, } \quad x \in X$ ; confidence 0.965
  
24. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032480/d03248013.png ; $d ( I ^ { n } ) = n$ ; confidence 0.754
+
24. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010215.png ; $y ^ { i }$ ; confidence 0.965
  
25. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h046420330.png ; $B = B _ { E }$ ; confidence 0.754
+
25. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130010/b13001099.png ; $\left( \begin{array} { l l } { A } & { B } \\ { C } & { D } \end{array} \right)$ ; confidence 0.965
  
26. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086940/s086940134.png ; $0 \leq \omega \leq \infty$ ; confidence 0.754
+
26. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016850/b01685022.png ; $N = \sum _ { i = 1 } ^ { M } N$ ; confidence 0.965
  
27. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040615.png ; $h = \operatorname { mng } s _ { P } , \mathfrak { N }$ ; confidence 0.754
+
27. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041570/f04157048.png ; $x _ { 1 } ( t ) + x _ { 2 } ( t ) = A ( t ) \operatorname { cos } ( \omega _ { 1 } t + \phi ( t ) )$ ; confidence 0.965
  
28. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110430/c11043040.png ; $m ( S ) ^ { 2 } > ( 2 k + 1 ) ( n - k ) + \frac { k ( k + 1 ) } { 2 } - \frac { 2 ^ { k } n ^ { 2 k + 1 } } { m ( 2 k ) ! \left( \begin{array} { l } { n } \\ { k } \end{array} \right) }$ ; confidence 0.753
+
28. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020187.png ; $\delta : G ^ { \prime } \rightarrow W$ ; confidence 0.965
  
29. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j120020198.png ; $k _ { \vartheta } ( z ) = \frac { 1 - | z | ^ { 2 } } { | z - e ^ { i \vartheta | ^ { 2 } } }$ ; confidence 0.753
+
29. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m13025061.png ; $\int | \rho _ { \varepsilon } ( x ) | d x$ ; confidence 0.965
  
30. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087820/s08782061.png ; $\alpha _ { 1 } = - 3$ ; confidence 0.753
+
30. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085400/s085400446.png ; $X \rightarrow \Delta [ 0 ]$ ; confidence 0.965
  
31. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005058.png ; $u \in C ( [ 0 , T ] ; X ) \cap C ^ { 1 } ( ( 0 , T ] ; X )$ ; confidence 0.752
+
31. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032490/d03249037.png ; $\tau = \operatorname { deg } \omega _ { \eta / F }$ ; confidence 0.965
  
32. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110370/a11037048.png ; $s < t$ ; confidence 0.752
+
32. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007018.png ; $u ( t ) = U ( t , 0 ) u _ { 0 } + \int _ { 0 } ^ { t } U ( t , s ) f ( s ) d s$ ; confidence 0.965
  
33. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017330/b017330240.png ; $B = H ^ { \infty } \subset H _ { \psi } \subset N ^ { * }$ ; confidence 0.752
+
33. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110410/a11041087.png ; $\tau \geq n - 3$ ; confidence 0.965
  
34. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031750/d03175013.png ; $\overline { G } = G + \Gamma$ ; confidence 0.752
+
34. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a01137028.png ; $z | < 1$ ; confidence 0.965
  
35. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130230/m130230103.png ; $- ( K _ { X } + B )$ ; confidence 0.752
+
35. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054270/j05427017.png ; $C ( V , f ) ^ { ( + ) }$ ; confidence 0.965
  
36. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091960/s09196011.png ; $\{ \pi ( i ) : \square i \in I _ { 0 } \}$ ; confidence 0.752
+
36. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086100/s08610044.png ; $M ^ { * } \times R ^ { n }$ ; confidence 0.965
  
37. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a0102006.png ; $A ] [ B$ ; confidence 0.752
+
37. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064510/m06451030.png ; $\phi : M \rightarrow h _ { M }$ ; confidence 0.965
  
38. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060102.png ; $\operatorname { lim } _ { n \rightarrow \infty } \frac { P ^ { \# } ( n ) } { G ^ { \# } ( n ) } = \lambda$ ; confidence 0.751
+
38. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021024.png ; $\pi$ ; confidence 0.965
  
39. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210120.png ; $1$ ; confidence 0.751
+
39. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110400/a11040018.png ; $T ^ { * } = \{ T ^ { * } ( t ) \} _ { t > 0 }$ ; confidence 0.964
  
40. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240101.png ; $x$ ; confidence 0.751
+
40. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016360/b0163608.png ; $G / N$ ; confidence 0.964
  
41. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120150/h12015024.png ; $\operatorname { log } | \phi ( h ) | = \int \operatorname { log } | h | d$ ; confidence 0.751
+
41. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130140/a13014019.png ; $R ^ { 2 }$ ; confidence 0.964
  
42. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010700/a01070025.png ; $s r : A \rightarrow C$ ; confidence 0.751
+
42. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872078.png ; $\pi ( x + y ) = \pi ( x ) + \pi ( y ) , \quad \pi ( \lambda x ) = \lambda ^ { p } \pi ( x ) , \quad \lambda \in k$ ; confidence 0.964
  
43. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130020/a13002017.png ; $\nu = \operatorname { lim } \sum _ { k = 0 } ^ { n - 1 } \frac { 1 } { n } \delta _ { T ^ { n } x }$ ; confidence 0.751
+
43. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590386.png ; $H _ { n } ( X _ { \epsilon } , R )$ ; confidence 0.964
  
44. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022021.png ; $T$ ; confidence 0.750
+
44. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310133.png ; $A ^ { \infty } / M$ ; confidence 0.964
  
45. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023110/c02311056.png ; $A ^ { G } = \{ \alpha \in A : g \alpha = \alpha \text { for all } g \in G \}$ ; confidence 0.750
+
45. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008034.png ; $S ( s + t ) + S ( s - t ) = 2 S ( s ) S ( t )$ ; confidence 0.964
  
46. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040850/f040850279.png ; $V _ { 1 } ^ { * }$ ; confidence 0.750
+
46. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052260/i052260112.png ; $G \rightarrow G / H$ ; confidence 0.964
  
47. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010058.png ; $w f$ ; confidence 0.750
+
47. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077490/r07749035.png ; $[ n / 2 ]$ ; confidence 0.964
  
48. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040127.png ; $\psi$ ; confidence 0.749
+
48. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110380/a11038064.png ; $( T , D , I )$ ; confidence 0.964
  
49. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006027.png ; $A u = \sum _ { j = 1 } ^ { m } \alpha _ { j } ( x ) \frac { \partial u } { \partial x _ { j } } + c ( x ) u$ ; confidence 0.749
+
49. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120180/a120180101.png ; $u _ { 1 } = F ( u _ { 0 } ) , u _ { 2 } = F ( u _ { 1 } )$ ; confidence 0.964
  
50. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006069.png ; $G _ { 1 }$ ; confidence 0.748
+
50. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006035.png ; $\eta _ { K } < 1$ ; confidence 0.964
  
51. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024160/c02416048.png ; $O _ { A } = O _ { D } / J | _ { A }$ ; confidence 0.748
+
51. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012200/a01220036.png ; $M = C$ ; confidence 0.964
  
52. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120020/e12002093.png ; $\Sigma \Omega X \rightarrow X$ ; confidence 0.748
+
52. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110190/d11019058.png ; $\pi$ ; confidence 0.964
  
53. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073980/p07398067.png ; $F \otimes S ^ { m } E$ ; confidence 0.748
+
53. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011530/a01153019.png ; $\alpha ^ { \beta ^ { 2 } }$ ; confidence 0.964
  
54. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007046.png ; $u ^ { \prime } \in C ^ { \alpha } ( [ 0 , T ] ; X ) \cap B ( D _ { A } ( \alpha , \infty ) )$ ; confidence 0.748
+
54. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016670/b01667067.png ; $r = 3$ ; confidence 0.964
  
55. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028011.png ; $a + b$ ; confidence 0.748
+
55. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010073.png ; $w \in W$ ; confidence 0.964
  
56. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029043.png ; $\overline { a } X$ ; confidence 0.747
+
56. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012100/a01210023.png ; $| \alpha | = \sqrt { \overline { \alpha } \alpha }$ ; confidence 0.964
  
57. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016033.png ; $r _ { k } = b - A x _ { k }$ ; confidence 0.747
+
57. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024120/c02412065.png ; $J ( s ) = \operatorname { lim } J _ { N } ( s ) = 2 ( 2 \pi ) ^ { s - 1 } \zeta ( 1 - s ) \operatorname { sin } \frac { \pi s } { 2 }$ ; confidence 0.964
  
58. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016730/b01673033.png ; $r ^ { 3 } / v \ll 1$ ; confidence 0.747
+
58. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026460/c02646017.png ; $i _ { k } = k - n [ k / n ] + 1$ ; confidence 0.964
  
59. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020140/c02014016.png ; $\Sigma _ { 12 } = \Sigma _ { 2 } ^ { T }$ ; confidence 0.747
+
59. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062590/m06259061.png ; $\alpha = \beta _ { 1 } \vee \ldots \vee \beta _ { r }$ ; confidence 0.964
  
60. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130110/v13011059.png ; $2 i$ ; confidence 0.747
+
60. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082320/r08232050.png ; $\operatorname { lim } _ { r \rightarrow 1 } \int _ { E } | f ( r e ^ { i \theta } ) | ^ { \delta } d \theta = \int _ { E } | f ( e ^ { i \theta } ) | ^ { \delta } d \theta$ ; confidence 0.964
  
61. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005092.png ; $B ( . )$ ; confidence 0.747
+
61. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097040/w0970409.png ; $\int _ { 0 } ^ { \pi / 2 } \operatorname { sin } ^ { 2 m + 1 } x d x$ ; confidence 0.964
  
62. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074660/p0746603.png ; $\left. \begin{array} { l l } { L - k E } & { M - k F } \\ { M - k F } & { N - k G } \end{array} \right| = 0$ ; confidence 0.746
+
62. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797064.png ; $\iota ( e ) = e$ ; confidence 0.964
  
63. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040202.png ; $\tilde { \Omega F }$ ; confidence 0.746
+
63. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058760/l05876032.png ; $f _ { j } ( e , x ) = x$ ; confidence 0.964
  
64. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013027.png ; $\theta _ { n } - 1$ ; confidence 0.745
+
64. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024013.png ; $\int _ { L } \omega$ ; confidence 0.964
  
65. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240480.png ; $1 , \ldots , n _ { 1 }$ ; confidence 0.745
+
65. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081030/r081030104.png ; $O _ { \gamma } \subset \Delta \backslash \Delta _ { 0 }$ ; confidence 0.964
  
66. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042053.png ; $K _ { 0 } ( A )$ ; confidence 0.745
+
66. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145087.png ; $l ( D ) - l ( K - D ) = \operatorname { deg } ( D ) - g + 1$ ; confidence 0.964
  
67. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017290/b01729066.png ; $| \hat { \alpha } ( \xi ) | > | \hat { \alpha } ( \eta ) |$ ; confidence 0.745
+
67. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037040/e03704040.png ; $D ( T )$ ; confidence 0.964
  
68. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a120070117.png ; $A ( t ) u = L ( , t , D _ { x } ) \text { ufor } u \in D ( A ( t ) )$ ; confidence 0.745
+
68. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110170/a11017023.png ; $\Omega _ { 0 }$ ; confidence 0.964
  
69. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040525.png ; $FFi _ { D } A$ ; confidence 0.744
+
69. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013010.png ; $\theta _ { n } = \theta _ { n - 1 } - \gamma _ { n } H ( \theta _ { n - 1 } , X _ { n } )$ ; confidence 0.964
  
70. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022930/c02293015.png ; $u ( x ) = w ( x _ { n } ) \operatorname { exp } i ( x _ { 1 } \xi _ { 1 } + \ldots + x _ { n - 1 } \xi _ { n - 1 } )$ ; confidence 0.744
+
70. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e036960202.png ; $B _ { \nu } = y ^ { \prime \prime } + x ^ { - 1 } + ( 1 - \nu ^ { 2 } x ^ { - 2 } ) y$ ; confidence 0.963
  
71. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020057.png ; $\mu$ ; confidence 0.744
+
71. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022800/c022800112.png ; $( , )$ ; confidence 0.963
  
72. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110370/a11037021.png ; $P \{ | X _ { 1 } ( t ) - X _ { 1 } ( s ) | > \epsilon \} \rightarrow 0$ ; confidence 0.744
+
72. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016089.png ; $\operatorname { Tr } ( A ^ { T } W A )$ ; confidence 0.963
  
73. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017330/b017330250.png ; $U ^ { N }$ ; confidence 0.743
+
73. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064510/m06451040.png ; $\overline { \mathfrak { M } } _ { g }$ ; confidence 0.963
  
74. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041940/f041940175.png ; $S \subset T$ ; confidence 0.743
+
74. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016042.png ; $\| A ^ { - 1 } \| ^ { - 1 }$ ; confidence 0.963
  
75. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045370/g0453708.png ; $f ( z ) = e ^ { ( \alpha - i b ) z ^ { \rho } }$ ; confidence 0.743
+
75. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013061.png ; $v ^ { 2 / 3 }$ ; confidence 0.963
  
76. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120110/m12011082.png ; $\Phi ( M ) \in Wh ( \pi _ { 1 } ( M ) )$ ; confidence 0.743
+
76. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120361.png ; $E ^ { \perp }$ ; confidence 0.963
  
77. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074740/p07474068.png ; $q _ { i } R = 0$ ; confidence 0.743
+
77. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050143.png ; $P ( n )$ ; confidence 0.963
  
78. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040795.png ; $K _ { 0 }$ ; confidence 0.742
+
78. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e03696019.png ; $F _ { 0 } ( \Sigma )$ ; confidence 0.963
  
79. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t1200109.png ; $1$ ; confidence 0.742
+
79. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h047690131.png ; $SO ( 1 , n + 1 )$ ; confidence 0.963
  
80. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110180/f11018097.png ; $\| x \| _ { p } = \int _ { 0 } ^ { 1 } | x ( t ) | ^ { p } d t$ ; confidence 0.742
+
80. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013000/a01300068.png ; $P _ { 0 } ( z )$ ; confidence 0.963
  
81. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130220/m13022026.png ; $T _ { e } = j - 744$ ; confidence 0.742
+
81. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020280/c020280177.png ; $\underline { C } ( E ) = \operatorname { sup } C ( K )$ ; confidence 0.963
  
82. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093770/t09377067.png ; $\mathfrak { A } f$ ; confidence 0.742
+
82. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025720/c02572035.png ; $B \circ A$ ; confidence 0.963
  
83. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010103.png ; $A x - b | \leq \Delta A | x | + \Delta b$ ; confidence 0.741
+
83. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026460/c02646046.png ; $\{ x _ { k } \}$ ; confidence 0.963
  
84. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036400/e03640030.png ; $2 - 2 g - l$ ; confidence 0.741
+
84. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038390/f038390108.png ; $q ( m ) = ( m ^ { p - 1 } - 1 ) / p$ ; confidence 0.963
  
85. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081130/r0811301.png ; $c \approx 3.10 ^ { 10 } cm / se$ ; confidence 0.741
+
85. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120020/h120020104.png ; $P _ { - } \phi \in B _ { p } ^ { 1 / p }$ ; confidence 0.963
  
86. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a1103205.png ; $y ^ { \prime } = f ( t , y ) , y ( t _ { 0 } ) = y _ { 0 } , t \in [ t _ { 0 } , t _ { e } ]$ ; confidence 0.741
+
86. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065140/m06514041.png ; $S _ { n }$ ; confidence 0.963
  
87. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010710/a01071039.png ; $( M / Q _ { i } )$ ; confidence 0.740
+
87. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091070/s09107089.png ; $P _ { \theta } ( A | B )$ ; confidence 0.963
  
88. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210108.png ; $m$ ; confidence 0.740
+
88. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013044.png ; $R ( \theta ^ { * } ) = \sum _ { n = - \infty } ^ { \infty } \operatorname { cov } ( H ( \theta ^ { * } , X _ { n } ) , H ( \theta ^ { * } , X _ { 0 } ) )$ ; confidence 0.963
  
89. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240444.png ; $N$ ; confidence 0.740
+
89. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005015.png ; $t \mapsto ( I - A ( t ) ) ( I - A ( 0 ) ) ^ { - 1 }$ ; confidence 0.963
  
90. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067080/n06708019.png ; $y ( 0 ) = y ^ { \prime }$ ; confidence 0.740
+
90. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031640/d0316407.png ; $F _ { M } ( \omega m ) = \omega ^ { ( p ) } F _ { M } ( m )$ ; confidence 0.963
  
91. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090180/s0901802.png ; $\square \ldots < t _ { - 1 } < t _ { 0 } \leq 0 < t _ { 1 } < t _ { 2 } < \ldots$ ; confidence 0.740
+
91. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070010/o0700109.png ; $g \mapsto g ( x )$ ; confidence 0.963
  
92. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016057.png ; $Q ( x _ { k } + \alpha _ { k } p _ { k } )$ ; confidence 0.739
+
92. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d03183025.png ; $( V )$ ; confidence 0.963
  
93. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012430/a012430100.png ; $I Y \subset O$ ; confidence 0.739
+
93. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005020.png ; $U ( s , s ) = I$ ; confidence 0.963
  
94. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110890/b11089088.png ; $\alpha ^ { i }$ ; confidence 0.739
+
94. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690039.png ; $H ^ { 0 } ( X , F ) = F ( X )$ ; confidence 0.963
  
95. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120010/f1200101.png ; $S h$ ; confidence 0.739
+
95. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120377.png ; $\omega ( z ) = 1 / \{ 2 \pi i ( \zeta - z _ { 0 } ) ^ { 2 } \}$ ; confidence 0.963
  
96. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067900/n06790027.png ; $\alpha + b = b + \alpha$ ; confidence 0.739
+
96. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013028.png ; $\phi _ { - } ( x , t , z ) = \operatorname { exp } ( \sum _ { i = 1 } ^ { \infty } \chi _ { i } ( x , t ) z ^ { - i } )$ ; confidence 0.963
  
97. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a11022066.png ; $L ( \alpha _ { 1 } h _ { 1 } + \alpha _ { 2 } h _ { 2 } ) = \alpha _ { 1 } L ( h _ { 1 } ) + \alpha _ { 2 } L ( h _ { 2 } )$ ; confidence 0.738
+
97. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a130080101.png ; $f ( x ) / f$ ; confidence 0.963
  
98. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008050.png ; $u _ { 1 } \in V$ ; confidence 0.738
+
98. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022010.png ; $z \in C ^ { p }$ ; confidence 0.963
  
99. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420169.png ; $K$ ; confidence 0.738
+
99. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l05851048.png ; $Y _ { \alpha } \in \mathfrak { g } _ { - \alpha }$ ; confidence 0.963
  
100. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240485.png ; $B$ ; confidence 0.738
+
100. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012810/a01281015.png ; $( x _ { 1 } , y _ { 1 } )$ ; confidence 0.963
  
101. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240219.png ; $I$ ; confidence 0.738
+
101. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010820/a010820100.png ; $H ( X , G ( Y ) )$ ; confidence 0.963
  
102. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110030/e11003020.png ; $f ( x _ { 0 } ) < \operatorname { inf } _ { x \in X } f ( x ) + \epsilon$ ; confidence 0.738
+
102. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008027.png ; $A u = f$ ; confidence 0.962
  
103. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057640/l0576408.png ; $\alpha _ { 1 } + n h _ { 1 }$ ; confidence 0.738
+
103. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074640/p0746405.png ; $\pi : P \rightarrow B$ ; confidence 0.962
  
104. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130020/m13002013.png ; $F _ { A } = * D _ { A } \phi$ ; confidence 0.738
+
104. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010014.png ; $p _ { V K } ( x ) = \operatorname { sup } \{ \mu ( x ) : \mu \in V ^ { \circ } \cap K ^ { \circ } \}$ ; confidence 0.962
  
105. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070070/o07007051.png ; $W _ { n } = X _ { ( n n ) } - X _ { ( n 1 ) }$ ; confidence 0.738
+
105. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011780/a0117807.png ; $\{ a , b \}$ ; confidence 0.962
  
106. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008057.png ; $v \in H ^ { 1 } ( \Omega )$ ; confidence 0.737
+
106. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010680/a01068055.png ; $S _ { i } ( n )$ ; confidence 0.962
  
107. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042091.png ; $x \in G$ ; confidence 0.737
+
107. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a01165034.png ; $A , A ^ { \prime }$ ; confidence 0.962
  
108. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200163.png ; $\operatorname { lim } \mathfrak { g } ^ { \alpha } = 1$ ; confidence 0.737
+
108. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110250/a11025018.png ; $\alpha = \frac { T _ { \infty } - T _ { 0 } } { T _ { \infty } }$ ; confidence 0.962
  
109. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i05023059.png ; $1 < m \leq n$ ; confidence 0.737
+
109. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012065.png ; $\lambda ^ { * } \geq \lambda ( x , y )$ ; confidence 0.962
  
110. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082130/r08213015.png ; $\partial x ^ { i } / \partial v$ ; confidence 0.737
+
110. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120180/a12018079.png ; $[ n / 1 ] f ( t )$ ; confidence 0.962
  
111. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050179.png ; $G$ ; confidence 0.737
+
111. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120547.png ; $F : X \times U \rightarrow \overline { R }$ ; confidence 0.962
  
112. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539030.png ; $= \int _ { X } d \mu ( x ) [ \int _ { \Theta } L ( \theta , \delta ( x ) ) p ( x | \theta ) \pi ( \theta ) d \nu ( \theta ) ]$ ; confidence 0.736
+
112. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021430/c02143030.png ; $( W , S )$ ; confidence 0.962
  
113. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110110/a1101108.png ; $\cap \operatorname { Reg }$ ; confidence 0.736
+
113. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120040/a12004022.png ; $c > 0$ ; confidence 0.962
  
114. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057180/l05718018.png ; $x g$ ; confidence 0.734
+
114. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240529.png ; $R$ ; confidence 0.962
  
115. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120250/m12025047.png ; $L C ^ { k - 1 }$ ; confidence 0.734
+
115. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010020.png ; $t \rightarrow S ( t ) x$ ; confidence 0.962
  
116. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001040.png ; $\alpha = 1,2,3$ ; confidence 0.734
+
116. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010278.png ; $X$ ; confidence 0.962
  
117. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002010.png ; $s ^ { 1 }$ ; confidence 0.733
+
117. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110660/b11066023.png ; $L _ { p } ( R )$ ; confidence 0.962
  
118. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050192.png ; $A ( p )$ ; confidence 0.733
+
118. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130040/c1300407.png ; $\operatorname { log } \Gamma ( z ) = \int _ { 1 } ^ { z } \psi ( t ) d t$ ; confidence 0.962
  
119. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035360/e03536090.png ; $\operatorname { Th } ( K _ { 1 } )$ ; confidence 0.733
+
119. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035550/e03555028.png ; $y ^ { 2 } = x ^ { 3 } - g x - g$ ; confidence 0.962
  
120. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820110.png ; $f _ { i } ( X ) = X _ { i } + \ldots$ ; confidence 0.733
+
120. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040690/f04069072.png ; $\alpha _ { \alpha } ^ { * } ( f ) \Omega = f$ ; confidence 0.962
  
121. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240498.png ; $X _ { 3 } = ( 1 , - 1 )$ ; confidence 0.733
+
121. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059410/l05941048.png ; $Q _ { 3 } ( b )$ ; confidence 0.962
  
122. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007051.png ; $\omega ( a ) + \omega ( b ) < k$ ; confidence 0.733
+
122. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081390/r08139031.png ; $v _ { 2 } \in V _ { 2 }$ ; confidence 0.962
  
123. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016076.png ; $M - 1$ ; confidence 0.733
+
123. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090830/s0908308.png ; $m : B \rightarrow A$ ; confidence 0.962
  
124. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040639.png ; $P , \mathfrak { M }$ ; confidence 0.733
+
124. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t120060116.png ; $E ^ { Q } ( N )$ ; confidence 0.962
  
125. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110150/a1101508.png ; $\psi ( . )$ ; confidence 0.732
+
125. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120150/t1201505.png ; $\eta \in A \mapsto \xi \eta \in A$ ; confidence 0.962
  
126. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052010.png ; $F _ { M }$ ; confidence 0.732
+
126. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a01149051.png ; $f _ { 1 } ^ { i } ( x )$ ; confidence 0.962
  
127. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035530/e0355309.png ; $\int \int _ { \Omega } ( \frac { \partial u } { \partial x } \frac { \partial v } { \partial x } + \frac { \partial u } { \partial y } \frac { \partial v } { \partial y } ) d x d y = - \int _ { \Omega } f v d x d y$ ; confidence 0.732
+
127. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017049.png ; $\beta ( \alpha , x ) = \beta _ { 0 } ( \alpha )$ ; confidence 0.962
  
128. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240122.png ; $t _ { 1 } , t _ { 2 } , \ldots$ ; confidence 0.731
+
128. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a011300129.png ; $E _ { i } = E _ { i }$ ; confidence 0.962
  
129. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024041.png ; $Y = X _ { 1 } B X _ { 2 } + E$ ; confidence 0.731
+
129. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a010810106.png ; $( \psi ( t ) , x ( t ) ) | _ { t = t _ { 0 } } ^ { t = t _ { 1 } } = 0$ ; confidence 0.962
  
130. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120030/m12003057.png ; $\varepsilon ^ { * } ( M A D ) = 1 / 2$ ; confidence 0.731
+
130. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130530/s13053089.png ; $H _ { r - 1 } ( C )$ ; confidence 0.962
  
131. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064950/m06495010.png ; $V _ { 1 } = \emptyset$ ; confidence 0.731
+
131. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164089.png ; $b _ { 1 } ( V )$ ; confidence 0.962
  
132. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082450/r08245049.png ; $( \alpha b ) \alpha = \alpha ( b \alpha )$ ; confidence 0.731
+
132. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a01137079.png ; $f _ { i } ( x ) = 0 \quad \text { if } x \notin U _ { i }$ ; confidence 0.962
  
133. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008060.png ; $( H ^ { 1 } ( \Omega ) ) ^ { \prime }$ ; confidence 0.731
+
133. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010600/a0106005.png ; $S = \sum _ { i } \lambda _ { i } A _ { i } = \cup _ { x _ { i } \in A _ { i } } \{ \sum _ { i } \lambda _ { i } x _ { i } \}$ ; confidence 0.962
  
134. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006053.png ; $P _ { R }$ ; confidence 0.730
+
134. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010600/a01060044.png ; $Y _ { z } \cap Z = \{ z \}$ ; confidence 0.962
  
135. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076610/q07661012.png ; $N _ { A }$ ; confidence 0.730
+
135. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008052.png ; $\left( \begin{array} { c c } { 0 } & { - 1 } \\ { A ( t ) } & { 0 } \end{array} \right)$ ; confidence 0.962
  
136. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110150/a11015017.png ; $\alpha ( t ) = \alpha ( S ) \cdot t ^ { \beta ( S ) } , \quad t \geq 0$ ; confidence 0.730
+
136. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240200.png ; $H : X _ { 3 } \beta = 0$ ; confidence 0.961
  
137. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046073.png ; $P _ { N } ( x )$ ; confidence 0.729
+
137. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004012.png ; $P ^ { 1 } ( Q )$ ; confidence 0.961
  
138. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024027.png ; $2$ ; confidence 0.729
+
138. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007042.png ; $\sigma ( n ) / n \geq \alpha$ ; confidence 0.961
  
139. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023250/c023250187.png ; $[ \sigma ] = [ \alpha _ { 1 } ^ { \alpha _ { 1 } } \ldots a _ { n } ^ { \alpha _ { n } } ]$ ; confidence 0.729
+
139. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a01130052.png ; $k _ { i } \subset k$ ; confidence 0.961
  
140. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040614.png ; $\mathfrak { N } \in$ ; confidence 0.728
+
140. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087060/s08706022.png ; $S K _ { 1 } ( R )$ ; confidence 0.961
  
141. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022040.png ; $= R [ x _ { 1 } ( z _ { 1 } , \ldots , z _ { p } ) , \ldots , x _ { p } ( z _ { 1 } , \ldots , z _ { p } ) ]$ ; confidence 0.727
+
141. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l05851078.png ; $N _ { \alpha , \beta } = - N _ { - \alpha , - \beta } \quad \text { and } \quad N _ { \alpha , \beta } = \pm ( p + 1 )$ ; confidence 0.961
  
142. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240524.png ; $Z _ { 12 } - Z _ { 13 } \Sigma _ { 33 } ^ { - 1 } \Sigma _ { 32 }$ ; confidence 0.727
+
142. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240261.png ; $\psi = \sum _ { i = 1 } ^ { q } d _ { i } \zeta _ { i }$ ; confidence 0.961
  
143. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010680/a01068054.png ; $Q _ { i } ( n )$ ; confidence 0.727
+
143. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027620/c0276205.png ; $F \in L ^ { * }$ ; confidence 0.961
  
144. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055072.png ; $K _ { G }$ ; confidence 0.727
+
144. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120050/k1200504.png ; $B = \sum _ { j = 1 } ^ { t } b _ { j } B _ { j }$ ; confidence 0.961
  
145. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013070.png ; $( \tau _ { l } )$ ; confidence 0.726
+
145. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058140/l0581405.png ; $s = \int _ { a } ^ { b } \sqrt { 1 + [ f ^ { \prime } ( x ) ] ^ { 2 } } d x$ ; confidence 0.961
  
146. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072530/p07253081.png ; $d f ^ { j }$ ; confidence 0.726
+
146. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064700/m0647004.png ; $\alpha = \gamma ( 0 )$ ; confidence 0.961
  
147. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057720/l05772024.png ; $E ( \mu _ { n } / n )$ ; confidence 0.725
+
147. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040380.png ; $\Omega h ^ { - 1 } ( F ) = h ^ { - 1 } ( \Omega F )$ ; confidence 0.961
  
148. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130010/b130010103.png ; $V _ { n } = H _ { n } / \Gamma$ ; confidence 0.724
+
148. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240105.png ; $y$ ; confidence 0.961
  
149. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017530/b0175307.png ; $P \{ \mu ( t + t _ { 0 } ) = j | \mu ( t _ { 0 } ) = i \}$ ; confidence 0.724
+
149. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a1200507.png ; $f ( . )$ ; confidence 0.961
  
150. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024510/c0245107.png ; $P ( A | B ) = \frac { P ( A \cap B ) } { P ( B ) }$ ; confidence 0.724
+
150. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010990/a01099022.png ; $( a , b , c )$ ; confidence 0.961
  
151. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m13025065.png ; $M _ { 3 } ( R ^ { n } ) = \{$ ; confidence 0.724
+
151. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014062.png ; $\beta : j \rightarrow i$ ; confidence 0.961
  
152. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076840/q07684029.png ; $P \{ X _ { n } \in \Delta \} \rightarrow 0$ ; confidence 0.724
+
152. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010670/a01067013.png ; $\tilde { \eta } ( t ) = \eta ( t ) + \zeta ( t )$ ; confidence 0.961
  
153. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130020/a1300203.png ; $1$ ; confidence 0.724
+
153. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011100/a01110055.png ; $A _ { 2 }$ ; confidence 0.961
  
154. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120060/i12006014.png ; $x < \varrho y$ ; confidence 0.723
+
154. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007029.png ; $f \in C ^ { \alpha } ( [ 0 , T ] ; X )$ ; confidence 0.961
  
155. https://www.encyclopediaofmath.org/legacyimages/z/z110/z110010/z11001018.png ; $( f g f h )$ ; confidence 0.723
+
155. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010800/a01080011.png ; $\nabla$ ; confidence 0.961
  
156. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120040/a1200404.png ; $x _ { 0 } \in X$ ; confidence 0.722
+
156. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055062.png ; $\phi ^ { \prime \prime } | x = \phi$ ; confidence 0.960
  
157. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015660/b01566081.png ; $1 - \frac { 2 } { \sqrt { 2 \pi } } \int _ { 0 } ^ { \alpha / T } e ^ { - z ^ { 2 } / 2 } d z = \frac { 2 } { \sqrt { 2 \pi } } \int _ { \alpha / \sqrt { T } } ^ { \infty } e ^ { - z ^ { 2 } / 2 } d z$ ; confidence 0.722
+
157. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081370/r08137022.png ; $\sum _ { \alpha \in I } ( \operatorname { dim } \rho ^ { \alpha } ) ^ { 2 } = | G |$ ; confidence 0.960
  
158. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007016.png ; $\frac { \partial } { \partial s } U ( t , s ) + U ( t , s ) A ( s ) = 0 , \operatorname { lim } _ { t \rightarrow s } U ( t , s ) x = x \text { for } x \in \overline { D ( A ( s ) ) }$ ; confidence 0.722
+
158. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020660/c020660110.png ; $( x _ { 0 } , y _ { 0 } )$ ; confidence 0.960
  
159. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a1103204.png ; $y ( t _ { m } )$ ; confidence 0.721
+
159. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150019.png ; $2 \omega$ ; confidence 0.960
  
160. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018025.png ; $| \operatorname { arg } ( s - s _ { 0 } ) | \leq \theta < \pi / 2$ ; confidence 0.721
+
160. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021010.png ; $\omega = p d z = p ( z ) d z$ ; confidence 0.960
  
161. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016059.png ; $x _ { k } = p _ { k } ( A ) x _ { 0 }$ ; confidence 0.721
+
161. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010840/a0108404.png ; $x , y \in L$ ; confidence 0.960
  
162. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018064.png ; $A _ { n }$ ; confidence 0.720
+
162. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025930/c02593015.png ; $V \times W$ ; confidence 0.960
  
163. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a1103004.png ; $C \times \Omega X$ ; confidence 0.719
+
163. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110460/a11046025.png ; $\{ \frac { \partial ^ { 2 } } { \partial t ^ { 2 } } - \frac { \partial } { \partial l } A ^ { 2 } \frac { \partial } { \partial l } \} \vec { h } ( \vec { x } , t ) = 0$ ; confidence 0.960
  
164. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a01130060.png ; $\gamma m$ ; confidence 0.719
+
164. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026830/c02683020.png ; $\sum _ { 2 } = \sum _ { \nu \in \langle \nu \rangle } U _ { 2 } ( n - D \nu )$ ; confidence 0.960
  
165. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120510/b12051051.png ; $x _ { + } = x _ { c } + \lambda d$ ; confidence 0.719
+
165. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230111.png ; $E ( L )$ ; confidence 0.960
  
166. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091670/s09167062.png ; $S ( B _ { n } ^ { m } )$ ; confidence 0.719
+
166. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130090/h13009043.png ; $g _ { i } \in A$ ; confidence 0.960
  
167. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006011.png ; $P _ { A \otimes B }$ ; confidence 0.719
+
167. https://www.encyclopediaofmath.org/legacyimages/x/x120/x120020/x12002033.png ; $D ( R )$ ; confidence 0.960
  
168. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027210/c02721040.png ; $P ( x ) = \sum _ { j = 1 } ^ { \mu } L j ( x ) f ( x ^ { ( j ) } )$ ; confidence 0.718
+
168. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590229.png ; $L : [ 0,1 ] \rightarrow C ^ { n }$ ; confidence 0.960
  
169. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054250/j05425028.png ; $K ^ { * }$ ; confidence 0.718
+
169. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016037.png ; $1$ ; confidence 0.960
  
170. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013069.png ; $\theta ^ { x }$ ; confidence 0.718
+
170. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007060.png ; $u ^ { \prime } \in B ( D _ { A } ( \alpha , \infty ) )$ ; confidence 0.960
  
171. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055063.png ; $\phi ^ { \prime \prime } | _ { X ^ { \prime } } = \phi ^ { \prime }$ ; confidence 0.718
+
171. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120030/c1200305.png ; $a < b$ ; confidence 0.960
  
172. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110760/b11076042.png ; $\partial ^ { k } f / \partial x : B ^ { m } \rightarrow B$ ; confidence 0.717
+
172. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110400/a11040037.png ; $X ^ { \odot } = X ^ { * }$ ; confidence 0.960
  
173. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094650/t09465066.png ; $\in M$ ; confidence 0.717
+
173. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600188.png ; $A _ { f } / H _ { f }$ ; confidence 0.960
  
174. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028018.png ; $l ( D )$ ; confidence 0.717
+
174. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a130180123.png ; $c _ { i } ( R ) =$ ; confidence 0.960
  
175. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040253.png ; $X _ { i }$ ; confidence 0.716
+
175. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011100/a01110021.png ; $\vec { 0 }$ ; confidence 0.959
  
176. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010580/a0105804.png ; $y _ { n + 1 } = y _ { n } + h \sum _ { \lambda = - 1 } ^ { k - 1 } v _ { - \lambda } f ( x _ { n - \lambda } , y _ { n - \lambda } )$ ; confidence 0.716
+
176. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010161.png ; $k ^ { 2 } ( A )$ ; confidence 0.959
  
177. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a1301306.png ; $Q ^ { ( n ) } : = Q _ { 0 } z ^ { n } + Q _ { 1 } z ^ { n - 1 } \ldots Q _ { n }$ ; confidence 0.716
+
177. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010950/a010950124.png ; $d \xi ^ { i } + \xi ^ { j } \omega _ { j } ^ { i } = 0$ ; confidence 0.959
  
178. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059610/l05961011.png ; $\frac { d w _ { N } } { d t } = \frac { \partial w _ { N } } { \partial t } + \sum _ { i = 1 } ^ { N } ( \frac { \partial w _ { N } } { \partial r _ { i } } \frac { d r _ { i } } { d t } + \frac { \partial w _ { N } } { \partial p _ { i } } \frac { d p _ { i } } { d t } ) = 0$ ; confidence 0.716
+
178. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011160/a01116015.png ; $\phi ( T _ { i } ) = x _ { i }$ ; confidence 0.959
  
179. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076820/q076820110.png ; $\operatorname { lim } _ { t \rightarrow \infty } P \{ q ( t ) < x \sqrt { t } \} = \sqrt { \frac { 2 } { \pi } } \int _ { 0 } ^ { x / \sigma } e ^ { - u ^ { 2 } / 2 } d u$ ; confidence 0.716
+
179. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a01138093.png ; $u _ { 1 } \neq u _ { 2 }$ ; confidence 0.959
  
180. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077380/r07738036.png ; $u _ { 0 } = 1$ ; confidence 0.716
+
180. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040052.png ; $\mathfrak { h } \subset \mathfrak { g }$ ; confidence 0.959
  
181. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042086.png ; $z \in G$ ; confidence 0.715
+
181. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130270/b1302706.png ; $Q ( H ) = B ( H ) / K ( H )$ ; confidence 0.959
  
182. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120300/b12030060.png ; $0 \leq \lambda _ { 1 } ( \eta ) \leq \ldots \leq \lambda _ { m } ( \eta ) \leq \ldots \rightarrow \infty$ ; confidence 0.714
+
182. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050730/i05073063.png ; $K \subset H$ ; confidence 0.959
  
183. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086520/s08652091.png ; $| T | _ { p }$ ; confidence 0.714
+
183. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051000/i05100028.png ; $- \infty < a < + \infty$ ; confidence 0.959
  
184. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002036.png ; $8$ ; confidence 0.713
+
184. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110150/a11015020.png ; $\beta ( S )$ ; confidence 0.959
  
185. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030020/d03002056.png ; $D x$ ; confidence 0.713
+
185. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h047690119.png ; $G = \operatorname { Sp } ( k )$ ; confidence 0.959
  
186. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007071.png ; $Q ( x )$ ; confidence 0.713
+
186. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640111.png ; $( K _ { V } ^ { 2 } ) = 0$ ; confidence 0.959
  
187. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010700/a01070016.png ; $( a , b ) \in r$ ; confidence 0.713
+
187. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a1303204.png ; $X$ ; confidence 0.959
  
188. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007073.png ; $\lambda \in S _ { \theta _ { 0 } } , t \in [ 0 , T ]$ ; confidence 0.712
+
188. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a110220108.png ; $R _ { 1 }$ ; confidence 0.959
  
189. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021033.png ; $31$ ; confidence 0.712
+
189. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640109.png ; $K _ { V } = 0$ ; confidence 0.959
  
190. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059110/l05911046.png ; $\{ \phi _ { i } \} _ { i k }$ ; confidence 0.712
+
190. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011390/a0113903.png ; $\lambda ^ { * } \mu$ ; confidence 0.959
  
191. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110153.png ; $\alpha _ { 2 k + 1 } \in L ^ { 1 } ( \Phi )$ ; confidence 0.712
+
191. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s1300409.png ; $H ^ { * } = H \cup P ^ { 1 } ( Q ) \subset P ^ { 1 } ( C )$ ; confidence 0.959
  
192. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022072.png ; $K _ { V V }$ ; confidence 0.711
+
192. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t13013095.png ; $H$ ; confidence 0.959
  
193. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240349.png ; $23$ ; confidence 0.711
+
193. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012042.png ; $( I - A ) ^ { - 1 } v$ ; confidence 0.959
  
194. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013091.png ; $L : = P _ { 0 } \frac { d } { d x } + P _ { 1 } = \left( \begin{array} { c c } { - i } & { 0 } \\ { 0 } & { i } \end{array} \right) \frac { d } { d x } + \left( \begin{array} { c c } { 0 } & { q } \\ { r } & { 0 } \end{array} \right)$ ; confidence 0.711
+
194. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010221.png ; $\delta A \leq \frac { 1 } { n } \operatorname { min } _ { k \neq i } \frac { | \lambda _ { i } - \lambda _ { k } | } { \| E _ { i } \| + \| E _ { k } \| }$ ; confidence 0.958
  
195. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024039.png ; $p \times p$ ; confidence 0.711
+
195. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700312.png ; $i : X _ { 1 } \rightarrow X$ ; confidence 0.958
  
196. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020131.png ; $= g ( \overline { u } _ { 1 } ) - \overline { q } = g ( \overline { u } _ { 1 } ) - v _ { M }$ ; confidence 0.711
+
196. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797015.png ; $A = \sum _ { n \in Z } A _ { n }$ ; confidence 0.958
  
197. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058770/l05877073.png ; $\operatorname { lm } A _ { * } = \mathfrak { g }$ ; confidence 0.711
+
197. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164078.png ; $k > 0$ ; confidence 0.958
  
198. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067080/n06708029.png ; $\left. \begin{array} { c } { B _ { n } ( y _ { n + 1 } ( 0 ) - y _ { n } ( 0 ) ) + B ( y _ { n } ( 0 ) ) = 0 } \\ { D _ { n } ( y _ { n + 1 } ( X ) - y _ { n } ( X ) ) + D ( y _ { n } ( X ) ) = 0 } \end{array} \right\}$ ; confidence 0.711
+
198. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074720/p07472084.png ; $( \gamma x ) ^ { g } = ( \gamma ^ { g } ) ( x ^ { g } )$ ; confidence 0.958
  
199. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539031.png ; $x \in X , \delta ^ { * } ( x )$ ; confidence 0.710
+
199. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040148.png ; $\square \psi \rightarrow \varphi \in T$ ; confidence 0.958
  
200. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012082.png ; $\langle x _ { t } ^ { \prime } , y _ { t } ^ { \prime } , c _ { t } ^ { \prime } \rangle$ ; confidence 0.710
+
200. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005054.png ; $u _ { 0 } \in \overline { D ( A ( 0 ) ) }$ ; confidence 0.958
  
201. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012091.png ; $\sum _ { t = 0 } ^ { \infty } A ^ { t } c t \leq y 0$ ; confidence 0.710
+
201. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020570/c02057057.png ; $H ^ { p } ( X , S ) = 0 \quad \text { for } p \geq 1$ ; confidence 0.958
  
202. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240362.png ; $22$ ; confidence 0.710
+
202. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g13002039.png ; $2 \sqrt [ 4 ] { 3 }$ ; confidence 0.958
  
203. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120150/t12015061.png ; $( \Delta ^ { \alpha } \xi ) ^ { \# } = \Delta ^ { - \overline { \alpha } } \xi ^ { \# }$ ; confidence 0.710
+
203. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001095.png ; $\operatorname { dim } ( S ) = 4 n + 3$ ; confidence 0.958
  
204. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094300/t094300134.png ; $\operatorname { Fix } ( T ) \subset \mathfrak { R }$ ; confidence 0.710
+
204. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240330.png ; $( p \times p _ { 1 } )$ ; confidence 0.958
  
205. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010219.png ; $\| \delta A \|$ ; confidence 0.710
+
205. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011780/a01178066.png ; $p \in C$ ; confidence 0.958
  
206. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a11030033.png ; $[ \theta ( d v _ { \alpha } ) ] = K _ { n _ { \alpha } } [ f _ { \alpha } ]$ ; confidence 0.709
+
206. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031850/d031850109.png ; $( \frac { u } { v } ) ^ { \prime } = \frac { u ^ { \prime } v - u v ^ { \prime } } { v ^ { 2 } }$ ; confidence 0.958
  
207. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024094.png ; $m$ ; confidence 0.709
+
207. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023094.png ; $\sigma ^ { k } : M \rightarrow E ^ { k }$ ; confidence 0.958
  
208. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l05700094.png ; $\equiv \lambda x y \cdot x$ ; confidence 0.709
+
208. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062550/m06255050.png ; $0 \leq w \leq v$ ; confidence 0.958
  
209. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086020/s08602026.png ; $\overline { D ^ { + } } = D ^ { + } \cup \Gamma$ ; confidence 0.709
+
209. https://www.encyclopediaofmath.org/legacyimages/o/o110/o110030/o11003037.png ; $K _ { \omega }$ ; confidence 0.958
  
210. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240233.png ; $\hat { \psi } = \sum _ { i = 1 } ^ { r } d _ { i } z _ { i }$ ; confidence 0.709
+
210. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073270/p07327037.png ; $q ^ { ( n ) } = d ^ { n } q / d x ^ { n }$ ; confidence 0.958
  
211. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640155.png ; $p _ { g } \neq 1$ ; confidence 0.708
+
211. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074160/p07416055.png ; $\rho = | y |$ ; confidence 0.958
  
212. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058610/l05861083.png ; $C ^ { n } / \Gamma _ { 1 }$ ; confidence 0.708
+
212. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086810/s086810108.png ; $W _ { p } ^ { m } ( I ^ { d } )$ ; confidence 0.958
  
213. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240366.png ; $M _ { H } = Z _ { 1 } ^ { \prime } Z _ { 1 }$ ; confidence 0.707
+
213. https://www.encyclopediaofmath.org/legacyimages/x/x120/x120010/x12001022.png ; $\sigma \in \operatorname { Aut } ( R )$ ; confidence 0.958
  
214. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010580/a01058022.png ; $\mu ^ { k + 1 } = \mu ^ { k } - \alpha h \sum _ { \lambda = 0 } ^ { k } u _ { - \lambda } \mu ^ { k - \lambda }$ ; confidence 0.707
+
214. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040742.png ; $\square$ ; confidence 0.958
  
215. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001013.png ; $A \in R ^ { n \times n }$ ; confidence 0.707
+
215. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240365.png ; $( p \times p )$ ; confidence 0.958
  
216. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021088.png ; $\omega _ { 1 }$ ; confidence 0.707
+
216. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082078.png ; $\phi _ { F } ^ { * } F _ { u } ( X , Y ) = F ( X , Y )$ ; confidence 0.958
  
217. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037040/e037040161.png ; $A = A _ { 0 } ^ { * }$ ; confidence 0.706
+
217. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450139.png ; $\phi _ { K } ( X )$ ; confidence 0.958
  
218. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008076.png ; $u _ { 0 } \in D ( A )$ ; confidence 0.705
+
218. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040248.png ; $m = ( N - k ) / 2$ ; confidence 0.958
  
219. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010200.png ; $| \hat { \lambda } - \lambda _ { i } | = | \delta \lambda _ { i } |$ ; confidence 0.705
+
219. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700154.png ; $H ^ { 1 } ( X _ { 0 } , T _ { X _ { 0 } } ) = 0$ ; confidence 0.958
  
220. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040352.png ; $CPC$ ; confidence 0.705
+
220. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121019.png ; $v ( x ) = \frac { 1 } { 2 } \frac { x ^ { - 1 / 4 } } { \sqrt { \pi } } \operatorname { exp } ( - \frac { 2 } { 3 } x ^ { 3 / 2 } ) [ 1 + O ( x ^ { - 3 / 2 } ) ] , \quad x \rightarrow + \infty$ ; confidence 0.958
  
221. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066410/n06641020.png ; $x \in b M$ ; confidence 0.705
+
221. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130530/s13053052.png ; $F _ { q }$ ; confidence 0.958
  
222. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l12003046.png ; $T _ { E } : U \rightarrow U$ ; confidence 0.704
+
222. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047700/h04770032.png ; $M ( k ) \neq \emptyset$ ; confidence 0.957
  
223. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110330/a1103301.png ; $( h _ { 1 } , \ldots , h _ { n } )$ ; confidence 0.704
+
223. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121091.png ; $\int _ { z _ { 0 } } ^ { z } \sqrt { q ( t ) } d t = 0$ ; confidence 0.957
  
224. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a12031019.png ; $M _ { sa }$ ; confidence 0.704
+
224. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145049.png ; $H ^ { 0 } ( X , \Omega _ { X } ^ { 1 } )$ ; confidence 0.957
  
225. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007082.png ; $A ( 0 ) u _ { 0 } + f ( 0 ) - \frac { d } { d t } A ( t ) ^ { - 1 } | _ { t = 0 } A ( 0 ) u _ { 0 } \in \overline { D ( A ( 0 ) ) }$ ; confidence 0.704
+
225. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a01165079.png ; $H$ ; confidence 0.957
  
226. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062490/m062490165.png ; $\Lambda = \{ \omega : x _ { S } \in B \}$ ; confidence 0.703
+
226. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020960/c02096032.png ; $y _ { n + 1 } = y _ { n } + \frac { h } { 2 } ( f _ { n + 1 } + f _ { n } )$ ; confidence 0.957
  
227. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001046.png ; $\lambda = \operatorname { dim } ( \delta ) - 1$ ; confidence 0.702
+
227. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023110/c023110101.png ; $Z G$ ; confidence 0.957
  
228. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033160/d03316011.png ; $\sigma _ { i } ^ { z }$ ; confidence 0.702
+
228. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026250/c0262508.png ; $( f _ { 1 } + f _ { 2 } ) ( x ) = f _ { 1 } ( x ) + f _ { 2 } ( x )$ ; confidence 0.957
  
229. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041210/f0412109.png ; $A / \eta$ ; confidence 0.702
+
229. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033530/d033530372.png ; $d _ { n } \ll p _ { n } ^ { \theta }$ ; confidence 0.957
  
230. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055700/k0557001.png ; $\frac { \partial f } { \partial s } = - A _ { S } f$ ; confidence 0.702
+
230. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f1202105.png ; $| z | < r$ ; confidence 0.957
  
231. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010710/a01071031.png ; $\operatorname { pr } ( A _ { i } ) = \operatorname { pr } ( B _ { i } )$ ; confidence 0.701
+
231. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110220/m11022016.png ; $\lambda ^ { * } \in R ^ { m }$ ; confidence 0.957
  
232. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a011210114.png ; $w ^ { \prime \prime } ( z ) = z w ( z )$ ; confidence 0.701
+
232. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072430/p0724307.png ; $\epsilon \ll 1$ ; confidence 0.957
  
233. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120040/a12004023.png ; $x _ { 0 }$ ; confidence 0.701
+
233. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090760/s09076026.png ; $L _ { 0 } ^ { * } = L _ { 1 }$ ; confidence 0.957
  
234. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042092.png ; $x > 0$ ; confidence 0.700
+
234. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130050/v130050114.png ; $1 _ { n } ( w ) = 0$ ; confidence 0.957
  
235. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021094.png ; $k , b _ { k }$ ; confidence 0.700
+
235. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011080/a0110802.png ; $M M ^ { * }$ ; confidence 0.957
  
236. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012340/a01234035.png ; $a \in V$ ; confidence 0.699
+
236. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120496.png ; $X ^ { * \prime } = X$ ; confidence 0.957
  
237. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058080/l0580808.png ; $B \subset X ^ { * }$ ; confidence 0.699
+
237. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110500/b11050020.png ; $G _ { d }$ ; confidence 0.957
  
238. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120020/t12002014.png ; $T ^ { + } = \cap _ { N > 0 } \sigma ( X _ { n } : n \geq N )$ ; confidence 0.699
+
238. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590128.png ; $\overline { U } ( 0,1 ) = \{ z \in \overline { C } : | z | \leq 1 \}$ ; confidence 0.957
  
239. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002051.png ; $m = 2 ^ { a }$ ; confidence 0.699
+
239. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s0855908.png ; $U ( \zeta , R ) = \{ z \in \overline { C } : | z - \zeta | < R \}$ ; confidence 0.957
  
240. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024058.png ; $j = 1 , \ldots , J$ ; confidence 0.698
+
240. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a130070104.png ; $\sigma ^ { * } ( n ) > \alpha n$ ; confidence 0.957
  
241. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067400/n06740041.png ; $U$ ; confidence 0.698
+
241. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121057.png ; $x _ { 2 } ( \alpha )$ ; confidence 0.957
  
242. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073880/p0738804.png ; $x _ { 1 } = \ldots = x _ { n } = 0$ ; confidence 0.697
+
242. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120336.png ; $| z | < R$ ; confidence 0.957
  
243. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006017.png ; $P _ { A }$ ; confidence 0.697
+
243. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130120/a13012024.png ; $r \geq k + \lambda$ ; confidence 0.957
  
244. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004011.png ; $( 40 \lambda \varphi _ { 1 } )$ ; confidence 0.696
+
244. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w12009021.png ; $S ( n , 1 )$ ; confidence 0.956
  
245. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050181.png ; $\zeta _ { A } ( z ) = \sum _ { n = 1 } ^ { \infty } a ( n ) n ^ { - z }$ ; confidence 0.696
+
245. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l058590159.png ; $G _ { 2 } , F _ { 4 } , E _ { 6 } , E _ { 7 } , E _ { 8 }$ ; confidence 0.956
  
246. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091140/s09114035.png ; $s _ { n } \rightarrow s$ ; confidence 0.696
+
246. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023330/c02333033.png ; $H = \frac { 1 } { 36 } \left| \begin{array} { c c } { \frac { \partial ^ { 2 } f } { \partial x ^ { 2 } } } & { \frac { \partial ^ { 2 } f } { \partial x \partial y } } \\ { \frac { \partial ^ { 2 } f } { \partial x \partial y } } & { \frac { \partial ^ { 2 } f } { \partial y ^ { 2 } } } \end{array} \right| =$ ; confidence 0.956
  
247. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096450/v09645016.png ; $+ \frac { 1 } { N ! } \int _ { t _ { 0 } } ^ { t } ( t - \tau ) ^ { N _ { r } ( N + 1 ) } ( \tau ) d \tau$ ; confidence 0.696
+
247. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010990/a01099039.png ; $\frac { 1 } { \Gamma } _ { i j } ^ { k }$ ; confidence 0.956
  
248. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032028.png ; $\lambda _ { j } ^ { ( i ) }$ ; confidence 0.695
+
248. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a120070112.png ; $L ( x , t , D _ { x } )$ ; confidence 0.956
  
249. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010430/a0104303.png ; $P \{ \xi ( t ) = i | \xi ( s ) = i \} = 1 \quad \text { for any } t \geq s$ ; confidence 0.695
+
249. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009092.png ; $f \in B ( m / n )$ ; confidence 0.956
  
250. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a0102109.png ; $P _ { 0 } \in S$ ; confidence 0.695
+
250. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017800/b01780036.png ; $d \geq n$ ; confidence 0.956
  
251. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013017.png ; $H ( \theta , X ) = \theta - X$ ; confidence 0.694
+
251. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031850/d03185095.png ; $x \neq \pm 1$ ; confidence 0.956
  
252. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001020.png ; $\operatorname { Sp } ( ( m + 1 ) / 4 )$ ; confidence 0.694
+
252. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120130/f12013083.png ; $| \Phi ( G )$ ; confidence 0.956
  
253. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055070/k05507045.png ; $g = \sum g _ { \alpha \overline { \beta } } d z ^ { \alpha } \otimes d z \square ^ { \beta }$ ; confidence 0.694
+
253. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003048.png ; $I _ { U } = \{ ( u _ { \lambda } ) _ { \lambda \in \Lambda }$ ; confidence 0.956
  
254. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539043.png ; $L _ { i j } = L = ( \theta _ { i } , d _ { j } )$ ; confidence 0.694
+
254. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048390/h04839015.png ; $U ^ { ( 2 ) }$ ; confidence 0.956
  
255. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040404.png ; $P _ { SD } K$ ; confidence 0.693
+
255. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110020/l11002085.png ; $x \preceq y$ ; confidence 0.956
  
256. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010135.png ; $S ( p )$ ; confidence 0.693
+
256. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130100/r13010034.png ; $D _ { n }$ ; confidence 0.956
  
257. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040372.png ; $F \subset G$ ; confidence 0.693
+
257. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087110/s08711028.png ; $\delta < \alpha$ ; confidence 0.956
  
258. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013250/a01325016.png ; $\operatorname { Arg } f$ ; confidence 0.692
+
258. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110210.png ; $G = G ^ { \sigma }$ ; confidence 0.956
  
259. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015660/b01566078.png ; $/ N = T$ ; confidence 0.692
+
259. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l058590158.png ; $A _ { n } , n \geq 1 , \quad B _ { n } , n \geq 2 , \quad C _ { n } , n \geq 3 , \quad D _ { n } , n \geq 4$ ; confidence 0.956
  
260. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044410/g0444106.png ; $\alpha \equiv f ( x _ { 0 } - ) \leq f ( x _ { 0 } + ) \equiv b$ ; confidence 0.692
+
260. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a010810108.png ; $U ( x ) = 0 , \quad U ^ { * } ( \psi ) = 0$ ; confidence 0.956
  
261. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040171.png ; $\varphi _ { L } : A \rightarrow A \subset P ^ { 3 }$ ; confidence 0.691
+
261. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058610/l05861051.png ; $SO ( 2 n )$ ; confidence 0.956
  
262. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110170/a1101707.png ; $x = \phi ( X , t )$ ; confidence 0.691
+
262. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040100.png ; $( - 1 ) _ { A } ^ { * } \Theta \simeq \Theta$ ; confidence 0.956
  
263. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005089.png ; $t$ ; confidence 0.691
+
263. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010016.png ; $S ( t ) x = e ^ { - t A _ { x } }$ ; confidence 0.956
  
264. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007028.png ; $a = 2$ ; confidence 0.691
+
264. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032490/d03249035.png ; $F ( \eta ) = F ( \zeta )$ ; confidence 0.956
  
265. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064430/m064430169.png ; $GL _ { 2 } ( R )$ ; confidence 0.691
+
265. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004019.png ; $\operatorname { deg } \phi _ { L } = d ^ { 2 }$ ; confidence 0.956
  
266. https://www.encyclopediaofmath.org/legacyimages/s/s110/s110240/s11024022.png ; $\lambda _ { m } ( t )$ ; confidence 0.691
+
266. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872011.png ; $x : y \rightarrow [ x , y ]$ ; confidence 0.956
  
267. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006088.png ; $G _ { \Gamma }$ ; confidence 0.691
+
267. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010297.png ; $F ( A ) = e ^ { A }$ ; confidence 0.956
  
268. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040629.png ; $D S _ { F }$ ; confidence 0.691
+
268. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110380/a1103803.png ; $( T , D , I )$ ; confidence 0.956
  
269. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046075.png ; $P _ { n } ( \alpha x ) = \alpha ^ { n } P _ { n } ( x )$ ; confidence 0.690
+
269. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a0102205.png ; $p \geq 1$ ; confidence 0.956
  
270. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082040/r08204062.png ; $b \in \overline { C }$ ; confidence 0.690
+
270. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130010/b13001079.png ; $V ^ { * }$ ; confidence 0.955
  
271. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a11022022.png ; $c = \cup _ { \pi \in P } c _ { \pi }$ ; confidence 0.690
+
271. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600209.png ; $( \frac { K / k } { \mathfrak { a } } )$ ; confidence 0.955
  
272. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007088.png ; $K _ { 3 }$ ; confidence 0.689
+
272. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110120/m11012010.png ; $SO ( 3,1 )$ ; confidence 0.955
  
273. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040466.png ; $D ( K )$ ; confidence 0.689
+
273. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121096.png ; $( 0 , e ^ { \pm i \pi / 3 } )$ ; confidence 0.955
  
274. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012049.png ; $x ^ { \prime } > x$ ; confidence 0.689
+
274. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011070/a01107010.png ; $M _ { 0 }$ ; confidence 0.955
  
275. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110660/a11066057.png ; $1 ^ { 1 } = 1 ^ { 1 } ( N )$ ; confidence 0.689
+
275. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110370/a1103701.png ; $X = \{ X ( t ) : t \in R + \}$ ; confidence 0.955
  
276. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023380/c02338044.png ; $x 0$ ; confidence 0.689
+
276. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a01149093.png ; $f _ { 1 } ^ { \prime } ( x ) = \sum _ { i = 0 } ^ { \infty } \alpha _ { i } ^ { 1 } \tau ^ { i } = \sum _ { i = 0 } ^ { \infty } \alpha _ { i } ^ { 1 } ( x - x _ { 0 } ) ^ { i / \alpha _ { 1 } }$ ; confidence 0.955
  
277. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i130090155.png ; $\overline { Q } _ { p }$ ; confidence 0.689
+
277. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097590/w09759011.png ; $I = \operatorname { ind } _ { k } ( D )$ ; confidence 0.955
  
278. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040646.png ; $\operatorname { Th } _ { S _ { P } } \mathfrak { M } = \operatorname { Th } _ { S _ { P } } \mathfrak { N }$ ; confidence 0.689
+
278. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450138.png ; $\phi _ { K }$ ; confidence 0.955
  
279. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008085.png ; $13$ ; confidence 0.688
+
279. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030790/d0307909.png ; $\lambda ^ { m }$ ; confidence 0.955
  
280. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046460/h04646046.png ; $p + q \leq \operatorname { dim } _ { C } M$ ; confidence 0.688
+
280. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038470/f03847048.png ; $\tau _ { 0 } = 0$ ; confidence 0.955
  
281. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093230/t09323048.png ; $H \rightarrow TOP$ ; confidence 0.688
+
281. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044770/g04477022.png ; $[ \Psi / \Phi ] \Phi$ ; confidence 0.955
  
282. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012078.png ; $x _ { t } + c _ { t } = y _ { t }$ ; confidence 0.688
+
282. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h046420157.png ; $d g = d h d k$ ; confidence 0.955
  
283. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010239.png ; $r = A x - \hat { \lambda } x$ ; confidence 0.687
+
283. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110020/i11002068.png ; $( \lambda \odot \mu ) \odot v = \lambda \odot ( \mu \odot v )$ ; confidence 0.955
  
284. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025440/c0254401.png ; $\int _ { \alpha } ^ { b } p ( t ) \operatorname { ln } | t - t _ { 0 } | d t = f ( t _ { 0 } ) + C$ ; confidence 0.687
+
284. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q07631081.png ; $H _ { i } \in \mathfrak { g }$ ; confidence 0.955
  
285. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025600/c02560048.png ; $u ^ { k } = u ^ { k - 1 } - \Delta \lambda _ { k } \phi ^ { \prime } ( u ^ { k - 1 } ) ^ { - 1 } \phi ( u ^ { 0 } )$ ; confidence 0.687
+
285. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010192.png ; $T ^ { - 1 } A T = \Lambda$ ; confidence 0.955
  
286. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040580/f04058030.png ; $| X$ ; confidence 0.687
+
286. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058760/l05876038.png ; $1 \leq i , j \leq r , \quad 1 \leq l \leq n$ ; confidence 0.955
  
287. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076080/q076080314.png ; $\mathfrak { F } \subset \mathfrak { P }$ ; confidence 0.687
+
287. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054340/j05434030.png ; $C _ { m } ( \lambda ) = \operatorname { rk } ( A - \lambda E ) ^ { m - 1 } - 2 \operatorname { rk } ( A - \lambda E ) ^ { m } +$ ; confidence 0.955
  
288. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006020.png ; $u \in P ( x )$ ; confidence 0.687
+
288. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a014170123.png ; $( x , v ) \gamma = ( x \gamma , j ( x , \gamma ) v )$ ; confidence 0.955
  
289. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044410/g0444109.png ; $A < \alpha < b < B$ ; confidence 0.686
+
289. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g13002038.png ; $2 \sqrt [ 2 ] { 3 }$ ; confidence 0.954
  
290. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022093.png ; $Z$ ; confidence 0.686
+
290. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a01138092.png ; $u _ { 1 } = u _ { 2 }$ ; confidence 0.954
  
291. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040618.png ; $\mathfrak { M } \vDash _ { S _ { P } } \psi$ ; confidence 0.686
+
291. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a01146014.png ; $Z \in C ^ { p } ( X )$ ; confidence 0.954
  
292. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010106.png ; $\Delta b = \epsilon | b$ ; confidence 0.685
+
292. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a011380193.png ; $\& , + , 1$ ; confidence 0.954
  
293. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020036.png ; $[ e _ { i } f _ { j } ] = h _ { i }$ ; confidence 0.684
+
293. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015061.png ; $U ( n ) / ( U ( n _ { 1 } ) \times \ldots \times U ( n _ { k } ) )$ ; confidence 0.954
  
294. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024084.png ; $\beta$ ; confidence 0.683
+
294. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010640/a01064021.png ; $\sigma _ { 0 } ( m )$ ; confidence 0.954
  
295. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420127.png ; $D$ ; confidence 0.683
+
295. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008032.png ; $\frac { f ^ { \prime } ( R ) } { f ( R ) } = \frac { g ^ { \prime } ( R ; m , s ) } { g ( R ; m , s ) }$ ; confidence 0.954
  
296. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120080/i12008047.png ; $m s$ ; confidence 0.683
+
296. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018024.png ; $\sigma > \sigma 0$ ; confidence 0.954
  
297. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120040/k12004019.png ; $\overline { 9 } _ { 42 }$ ; confidence 0.683
+
297. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164083.png ; $H _ { i } ( V , Z )$ ; confidence 0.954
  
298. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090590/s0905905.png ; $J ( y ) \leq J ( y )$ ; confidence 0.683
+
298. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110490/a1104901.png ; $D = d / d t$ ; confidence 0.954
  
299. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040701.png ; $( X , x , v )$ ; confidence 0.683
+
299. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110200/c11020072.png ; $\lambda \in \Lambda$ ; confidence 0.954
  
300. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a11030043.png ; $\theta _ { Y } : ( T W , d ) \rightarrow C * \Omega Y$ ; confidence 0.683
+
300. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032240/d03224071.png ; $d \omega = d \square ^ { * } \omega = 0$ ; confidence 0.954

Latest revision as of 09:58, 17 October 2019

List

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

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

3. k05594016.png ; $\frac { d \xi } { d t } = \epsilon X _ { 0 } ( \xi ) + \epsilon ^ { 2 } P _ { 2 } ( \xi ) + \ldots + \epsilon ^ { m } P _ { m } ( \xi )$ ; confidence 0.966

4. m06216027.png ; $p < q$ ; confidence 0.966

5. m13026036.png ; $x \lambda ( y ) = \rho ( x ) y$ ; confidence 0.966

6. o07024025.png ; $- \beta V$ ; confidence 0.966

7. r07713084.png ; $r _ { 1 } > r _ { 2 }$ ; confidence 0.966

8. s13051063.png ; $\Gamma = \Gamma _ { 1 } + \ldots + \Gamma _ { m }$ ; confidence 0.966

9. s08696030.png ; $\| x _ { 0 } \| \leq \delta$ ; confidence 0.966

10. w0977202.png ; $f ( x ) = \alpha _ { n } x ^ { n } + \ldots + \alpha _ { 1 } x$ ; confidence 0.966

11. t13014081.png ; $98$ ; confidence 0.966

12. l05848095.png ; $V$ ; confidence 0.966

13. a01165036.png ; $J = J ^ { \prime }$ ; confidence 0.966

14. h04769096.png ; $H ^ { * } ( G / H ; R )$ ; confidence 0.966

15. b12040026.png ; $M = G / H$ ; confidence 0.966

16. m06451090.png ; $( S , \operatorname { Pic } ^ { 0 } X / S )$ ; confidence 0.966

17. a1104102.png ; $K _ { X } = \operatorname { det } T _ { X } ^ { * }$ ; confidence 0.965

18. a0108006.png ; $X , Y$ ; confidence 0.965

19. s08590025.png ; $m - d$ ; confidence 0.965

20. f0405508.png ; $V _ { 1 } \subset \ldots \subset V _ { k }$ ; confidence 0.965

21. a01084028.png ; $M \rightarrow M ^ { * }$ ; confidence 0.965

22. s130540109.png ; $K _ { 0 } R$ ; confidence 0.965

23. d034120545.png ; $F ( x , y ) \rightarrow \text { inf, } \quad x \in X$ ; confidence 0.965

24. a110010215.png ; $y ^ { i }$ ; confidence 0.965

25. b13001099.png ; $\left( \begin{array} { l l } { A } & { B } \\ { C } & { D } \end{array} \right)$ ; confidence 0.965

26. b01685022.png ; $N = \sum _ { i = 1 } ^ { M } N$ ; confidence 0.965

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

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

29. m13025061.png ; $\int | \rho _ { \varepsilon } ( x ) | d x$ ; confidence 0.965

30. s085400446.png ; $X \rightarrow \Delta [ 0 ]$ ; confidence 0.965

31. d03249037.png ; $\tau = \operatorname { deg } \omega _ { \eta / F }$ ; confidence 0.965

32. a12007018.png ; $u ( t ) = U ( t , 0 ) u _ { 0 } + \int _ { 0 } ^ { t } U ( t , s ) f ( s ) d s$ ; confidence 0.965

33. a11041087.png ; $\tau \geq n - 3$ ; confidence 0.965

34. a01137028.png ; $z | < 1$ ; confidence 0.965

35. j05427017.png ; $C ( V , f ) ^ { ( + ) }$ ; confidence 0.965

36. s08610044.png ; $M ^ { * } \times R ^ { n }$ ; confidence 0.965

37. m06451030.png ; $\phi : M \rightarrow h _ { M }$ ; confidence 0.965

38. a01021024.png ; $\pi$ ; confidence 0.965

39. a11040018.png ; $T ^ { * } = \{ T ^ { * } ( t ) \} _ { t > 0 }$ ; confidence 0.964

40. b0163608.png ; $G / N$ ; confidence 0.964

41. a13014019.png ; $R ^ { 2 }$ ; confidence 0.964

42. l05872078.png ; $\pi ( x + y ) = \pi ( x ) + \pi ( y ) , \quad \pi ( \lambda x ) = \lambda ^ { p } \pi ( x ) , \quad \lambda \in k$ ; confidence 0.964

43. s085590386.png ; $H _ { n } ( X _ { \epsilon } , R )$ ; confidence 0.964

44. a120310133.png ; $A ^ { \infty } / M$ ; confidence 0.964

45. a12008034.png ; $S ( s + t ) + S ( s - t ) = 2 S ( s ) S ( t )$ ; confidence 0.964

46. i052260112.png ; $G \rightarrow G / H$ ; confidence 0.964

47. r07749035.png ; $[ n / 2 ]$ ; confidence 0.964

48. a11038064.png ; $( T , D , I )$ ; confidence 0.964

49. a120180101.png ; $u _ { 1 } = F ( u _ { 0 } ) , u _ { 2 } = F ( u _ { 1 } )$ ; confidence 0.964

50. a13006035.png ; $\eta _ { K } < 1$ ; confidence 0.964

51. a01220036.png ; $M = C$ ; confidence 0.964

52. d11019058.png ; $\pi$ ; confidence 0.964

53. a01153019.png ; $\alpha ^ { \beta ^ { 2 } }$ ; confidence 0.964

54. b01667067.png ; $r = 3$ ; confidence 0.964

55. a11010073.png ; $w \in W$ ; confidence 0.964

56. a01210023.png ; $| \alpha | = \sqrt { \overline { \alpha } \alpha }$ ; confidence 0.964

57. c02412065.png ; $J ( s ) = \operatorname { lim } J _ { N } ( s ) = 2 ( 2 \pi ) ^ { s - 1 } \zeta ( 1 - s ) \operatorname { sin } \frac { \pi s } { 2 }$ ; confidence 0.964

58. c02646017.png ; $i _ { k } = k - n [ k / n ] + 1$ ; confidence 0.964

59. m06259061.png ; $\alpha = \beta _ { 1 } \vee \ldots \vee \beta _ { r }$ ; confidence 0.964

60. r08232050.png ; $\operatorname { lim } _ { r \rightarrow 1 } \int _ { E } | f ( r e ^ { i \theta } ) | ^ { \delta } d \theta = \int _ { E } | f ( e ^ { i \theta } ) | ^ { \delta } d \theta$ ; confidence 0.964

61. w0970409.png ; $\int _ { 0 } ^ { \pi / 2 } \operatorname { sin } ^ { 2 m + 1 } x d x$ ; confidence 0.964

62. h04797064.png ; $\iota ( e ) = e$ ; confidence 0.964

63. l05876032.png ; $f _ { j } ( e , x ) = x$ ; confidence 0.964

64. a01024013.png ; $\int _ { L } \omega$ ; confidence 0.964

65. r081030104.png ; $O _ { \gamma } \subset \Delta \backslash \Delta _ { 0 }$ ; confidence 0.964

66. a01145087.png ; $l ( D ) - l ( K - D ) = \operatorname { deg } ( D ) - g + 1$ ; confidence 0.964

67. e03704040.png ; $D ( T )$ ; confidence 0.964

68. a11017023.png ; $\Omega _ { 0 }$ ; confidence 0.964

69. a12013010.png ; $\theta _ { n } = \theta _ { n - 1 } - \gamma _ { n } H ( \theta _ { n - 1 } , X _ { n } )$ ; confidence 0.964

70. e036960202.png ; $B _ { \nu } = y ^ { \prime \prime } + x ^ { - 1 } + ( 1 - \nu ^ { 2 } x ^ { - 2 } ) y$ ; confidence 0.963

71. c022800112.png ; $( , )$ ; confidence 0.963

72. a11016089.png ; $\operatorname { Tr } ( A ^ { T } W A )$ ; confidence 0.963

73. m06451040.png ; $\overline { \mathfrak { M } } _ { g }$ ; confidence 0.963

74. a11016042.png ; $\| A ^ { - 1 } \| ^ { - 1 }$ ; confidence 0.963

75. a12013061.png ; $v ^ { 2 / 3 }$ ; confidence 0.963

76. d034120361.png ; $E ^ { \perp }$ ; confidence 0.963

77. a130050143.png ; $P ( n )$ ; confidence 0.963

78. e03696019.png ; $F _ { 0 } ( \Sigma )$ ; confidence 0.963

79. h047690131.png ; $SO ( 1 , n + 1 )$ ; confidence 0.963

80. a01300068.png ; $P _ { 0 } ( z )$ ; confidence 0.963

81. c020280177.png ; $\underline { C } ( E ) = \operatorname { sup } C ( K )$ ; confidence 0.963

82. c02572035.png ; $B \circ A$ ; confidence 0.963

83. c02646046.png ; $\{ x _ { k } \}$ ; confidence 0.963

84. f038390108.png ; $q ( m ) = ( m ^ { p - 1 } - 1 ) / p$ ; confidence 0.963

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

86. m06514041.png ; $S _ { n }$ ; confidence 0.963

87. s09107089.png ; $P _ { \theta } ( A | B )$ ; confidence 0.963

88. a12013044.png ; $R ( \theta ^ { * } ) = \sum _ { n = - \infty } ^ { \infty } \operatorname { cov } ( H ( \theta ^ { * } , X _ { n } ) , H ( \theta ^ { * } , X _ { 0 } ) )$ ; confidence 0.963

89. a12005015.png ; $t \mapsto ( I - A ( t ) ) ( I - A ( 0 ) ) ^ { - 1 }$ ; confidence 0.963

90. d0316407.png ; $F _ { M } ( \omega m ) = \omega ^ { ( p ) } F _ { M } ( m )$ ; confidence 0.963

91. o0700109.png ; $g \mapsto g ( x )$ ; confidence 0.963

92. d03183025.png ; $( V )$ ; confidence 0.963

93. a12005020.png ; $U ( s , s ) = I$ ; confidence 0.963

94. n06690039.png ; $H ^ { 0 } ( X , F ) = F ( X )$ ; confidence 0.963

95. d034120377.png ; $\omega ( z ) = 1 / \{ 2 \pi i ( \zeta - z _ { 0 } ) ^ { 2 } \}$ ; confidence 0.963

96. a13013028.png ; $\phi _ { - } ( x , t , z ) = \operatorname { exp } ( \sum _ { i = 1 } ^ { \infty } \chi _ { i } ( x , t ) z ^ { - i } )$ ; confidence 0.963

97. a130080101.png ; $f ( x ) / f$ ; confidence 0.963

98. a01022010.png ; $z \in C ^ { p }$ ; confidence 0.963

99. l05851048.png ; $Y _ { \alpha } \in \mathfrak { g } _ { - \alpha }$ ; confidence 0.963

100. a01281015.png ; $( x _ { 1 } , y _ { 1 } )$ ; confidence 0.963

101. a010820100.png ; $H ( X , G ( Y ) )$ ; confidence 0.963

102. a12008027.png ; $A u = f$ ; confidence 0.962

103. p0746405.png ; $\pi : P \rightarrow B$ ; confidence 0.962

104. a11010014.png ; $p _ { V K } ( x ) = \operatorname { sup } \{ \mu ( x ) : \mu \in V ^ { \circ } \cap K ^ { \circ } \}$ ; confidence 0.962

105. a0117807.png ; $\{ a , b \}$ ; confidence 0.962

106. a01068055.png ; $S _ { i } ( n )$ ; confidence 0.962

107. a01165034.png ; $A , A ^ { \prime }$ ; confidence 0.962

108. a11025018.png ; $\alpha = \frac { T _ { \infty } - T _ { 0 } } { T _ { \infty } }$ ; confidence 0.962

109. a12012065.png ; $\lambda ^ { * } \geq \lambda ( x , y )$ ; confidence 0.962

110. a12018079.png ; $[ n / 1 ] f ( t )$ ; confidence 0.962

111. d034120547.png ; $F : X \times U \rightarrow \overline { R }$ ; confidence 0.962

112. c02143030.png ; $( W , S )$ ; confidence 0.962

113. a12004022.png ; $c > 0$ ; confidence 0.962

114. a130240529.png ; $R$ ; confidence 0.962

115. a12010020.png ; $t \rightarrow S ( t ) x$ ; confidence 0.962

116. a110010278.png ; $X$ ; confidence 0.962

117. b11066023.png ; $L _ { p } ( R )$ ; confidence 0.962

118. c1300407.png ; $\operatorname { log } \Gamma ( z ) = \int _ { 1 } ^ { z } \psi ( t ) d t$ ; confidence 0.962

119. e03555028.png ; $y ^ { 2 } = x ^ { 3 } - g x - g$ ; confidence 0.962

120. f04069072.png ; $\alpha _ { \alpha } ^ { * } ( f ) \Omega = f$ ; confidence 0.962

121. l05941048.png ; $Q _ { 3 } ( b )$ ; confidence 0.962

122. r08139031.png ; $v _ { 2 } \in V _ { 2 }$ ; confidence 0.962

123. s0908308.png ; $m : B \rightarrow A$ ; confidence 0.962

124. t120060116.png ; $E ^ { Q } ( N )$ ; confidence 0.962

125. t1201505.png ; $\eta \in A \mapsto \xi \eta \in A$ ; confidence 0.962

126. a01149051.png ; $f _ { 1 } ^ { i } ( x )$ ; confidence 0.962

127. a12017049.png ; $\beta ( \alpha , x ) = \beta _ { 0 } ( \alpha )$ ; confidence 0.962

128. a011300129.png ; $E _ { i } = E _ { i }$ ; confidence 0.962

129. a010810106.png ; $( \psi ( t ) , x ( t ) ) | _ { t = t _ { 0 } } ^ { t = t _ { 1 } } = 0$ ; confidence 0.962

130. s13053089.png ; $H _ { r - 1 } ( C )$ ; confidence 0.962

131. a01164089.png ; $b _ { 1 } ( V )$ ; confidence 0.962

132. a01137079.png ; $f _ { i } ( x ) = 0 \quad \text { if } x \notin U _ { i }$ ; confidence 0.962

133. a0106005.png ; $S = \sum _ { i } \lambda _ { i } A _ { i } = \cup _ { x _ { i } \in A _ { i } } \{ \sum _ { i } \lambda _ { i } x _ { i } \}$ ; confidence 0.962

134. a01060044.png ; $Y _ { z } \cap Z = \{ z \}$ ; confidence 0.962

135. a12008052.png ; $\left( \begin{array} { c c } { 0 } & { - 1 } \\ { A ( t ) } & { 0 } \end{array} \right)$ ; confidence 0.962

136. a130240200.png ; $H : X _ { 3 } \beta = 0$ ; confidence 0.961

137. s13004012.png ; $P ^ { 1 } ( Q )$ ; confidence 0.961

138. a13007042.png ; $\sigma ( n ) / n \geq \alpha$ ; confidence 0.961

139. a01130052.png ; $k _ { i } \subset k$ ; confidence 0.961

140. s08706022.png ; $S K _ { 1 } ( R )$ ; confidence 0.961

141. l05851078.png ; $N _ { \alpha , \beta } = - N _ { - \alpha , - \beta } \quad \text { and } \quad N _ { \alpha , \beta } = \pm ( p + 1 )$ ; confidence 0.961

142. a130240261.png ; $\psi = \sum _ { i = 1 } ^ { q } d _ { i } \zeta _ { i }$ ; confidence 0.961

143. c0276205.png ; $F \in L ^ { * }$ ; confidence 0.961

144. k1200504.png ; $B = \sum _ { j = 1 } ^ { t } b _ { j } B _ { j }$ ; confidence 0.961

145. l0581405.png ; $s = \int _ { a } ^ { b } \sqrt { 1 + [ f ^ { \prime } ( x ) ] ^ { 2 } } d x$ ; confidence 0.961

146. m0647004.png ; $\alpha = \gamma ( 0 )$ ; confidence 0.961

147. a130040380.png ; $\Omega h ^ { - 1 } ( F ) = h ^ { - 1 } ( \Omega F )$ ; confidence 0.961

148. a130240105.png ; $y$ ; confidence 0.961

149. a1200507.png ; $f ( . )$ ; confidence 0.961

150. a01099022.png ; $( a , b , c )$ ; confidence 0.961

151. t13014062.png ; $\beta : j \rightarrow i$ ; confidence 0.961

152. a01067013.png ; $\tilde { \eta } ( t ) = \eta ( t ) + \zeta ( t )$ ; confidence 0.961

153. a01110055.png ; $A _ { 2 }$ ; confidence 0.961

154. a12007029.png ; $f \in C ^ { \alpha } ( [ 0 , T ] ; X )$ ; confidence 0.961

155. a01080011.png ; $\nabla$ ; confidence 0.961

156. a01055062.png ; $\phi ^ { \prime \prime } | x = \phi$ ; confidence 0.960

157. r08137022.png ; $\sum _ { \alpha \in I } ( \operatorname { dim } \rho ^ { \alpha } ) ^ { 2 } = | G |$ ; confidence 0.960

158. c020660110.png ; $( x _ { 0 } , y _ { 0 } )$ ; confidence 0.960

159. a01150019.png ; $2 \omega$ ; confidence 0.960

160. a01021010.png ; $\omega = p d z = p ( z ) d z$ ; confidence 0.960

161. a0108404.png ; $x , y \in L$ ; confidence 0.960

162. c02593015.png ; $V \times W$ ; confidence 0.960

163. a11046025.png ; $\{ \frac { \partial ^ { 2 } } { \partial t ^ { 2 } } - \frac { \partial } { \partial l } A ^ { 2 } \frac { \partial } { \partial l } \} \vec { h } ( \vec { x } , t ) = 0$ ; confidence 0.960

164. c02683020.png ; $\sum _ { 2 } = \sum _ { \nu \in \langle \nu \rangle } U _ { 2 } ( n - D \nu )$ ; confidence 0.960

165. e120230111.png ; $E ( L )$ ; confidence 0.960

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

167. x12002033.png ; $D ( R )$ ; confidence 0.960

168. s085590229.png ; $L : [ 0,1 ] \rightarrow C ^ { n }$ ; confidence 0.960

169. a11016037.png ; $1$ ; confidence 0.960

170. a12007060.png ; $u ^ { \prime } \in B ( D _ { A } ( \alpha , \infty ) )$ ; confidence 0.960

171. c1200305.png ; $a < b$ ; confidence 0.960

172. a11040037.png ; $X ^ { \odot } = X ^ { * }$ ; confidence 0.960

173. a011600188.png ; $A _ { f } / H _ { f }$ ; confidence 0.960

174. a130180123.png ; $c _ { i } ( R ) =$ ; confidence 0.960

175. a01110021.png ; $\vec { 0 }$ ; confidence 0.959

176. a110010161.png ; $k ^ { 2 } ( A )$ ; confidence 0.959

177. a010950124.png ; $d \xi ^ { i } + \xi ^ { j } \omega _ { j } ^ { i } = 0$ ; confidence 0.959

178. a01116015.png ; $\phi ( T _ { i } ) = x _ { i }$ ; confidence 0.959

179. a01138093.png ; $u _ { 1 } \neq u _ { 2 }$ ; confidence 0.959

180. b12040052.png ; $\mathfrak { h } \subset \mathfrak { g }$ ; confidence 0.959

181. b1302706.png ; $Q ( H ) = B ( H ) / K ( H )$ ; confidence 0.959

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

183. i05100028.png ; $- \infty < a < + \infty$ ; confidence 0.959

184. a11015020.png ; $\beta ( S )$ ; confidence 0.959

185. h047690119.png ; $G = \operatorname { Sp } ( k )$ ; confidence 0.959

186. a011640111.png ; $( K _ { V } ^ { 2 } ) = 0$ ; confidence 0.959

187. a1303204.png ; $X$ ; confidence 0.959

188. a110220108.png ; $R _ { 1 }$ ; confidence 0.959

189. a011640109.png ; $K _ { V } = 0$ ; confidence 0.959

190. a0113903.png ; $\lambda ^ { * } \mu$ ; confidence 0.959

191. s1300409.png ; $H ^ { * } = H \cup P ^ { 1 } ( Q ) \subset P ^ { 1 } ( C )$ ; confidence 0.959

192. t13013095.png ; $H$ ; confidence 0.959

193. a12012042.png ; $( I - A ) ^ { - 1 } v$ ; confidence 0.959

194. a110010221.png ; $\delta A \leq \frac { 1 } { n } \operatorname { min } _ { k \neq i } \frac { | \lambda _ { i } - \lambda _ { k } | } { \| E _ { i } \| + \| E _ { k } \| }$ ; confidence 0.958

195. d030700312.png ; $i : X _ { 1 } \rightarrow X$ ; confidence 0.958

196. h04797015.png ; $A = \sum _ { n \in Z } A _ { n }$ ; confidence 0.958

197. a01164078.png ; $k > 0$ ; confidence 0.958

198. p07472084.png ; $( \gamma x ) ^ { g } = ( \gamma ^ { g } ) ( x ^ { g } )$ ; confidence 0.958

199. a130040148.png ; $\square \psi \rightarrow \varphi \in T$ ; confidence 0.958

200. a12005054.png ; $u _ { 0 } \in \overline { D ( A ( 0 ) ) }$ ; confidence 0.958

201. c02057057.png ; $H ^ { p } ( X , S ) = 0 \quad \text { for } p \geq 1$ ; confidence 0.958

202. g13002039.png ; $2 \sqrt [ 4 ] { 3 }$ ; confidence 0.958

203. t12001095.png ; $\operatorname { dim } ( S ) = 4 n + 3$ ; confidence 0.958

204. a130240330.png ; $( p \times p _ { 1 } )$ ; confidence 0.958

205. a01178066.png ; $p \in C$ ; confidence 0.958

206. d031850109.png ; $( \frac { u } { v } ) ^ { \prime } = \frac { u ^ { \prime } v - u v ^ { \prime } } { v ^ { 2 } }$ ; confidence 0.958

207. e12023094.png ; $\sigma ^ { k } : M \rightarrow E ^ { k }$ ; confidence 0.958

208. m06255050.png ; $0 \leq w \leq v$ ; confidence 0.958

209. o11003037.png ; $K _ { \omega }$ ; confidence 0.958

210. p07327037.png ; $q ^ { ( n ) } = d ^ { n } q / d x ^ { n }$ ; confidence 0.958

211. p07416055.png ; $\rho = | y |$ ; confidence 0.958

212. s086810108.png ; $W _ { p } ^ { m } ( I ^ { d } )$ ; confidence 0.958

213. x12001022.png ; $\sigma \in \operatorname { Aut } ( R )$ ; confidence 0.958

214. a130040742.png ; $\square$ ; confidence 0.958

215. a130240365.png ; $( p \times p )$ ; confidence 0.958

216. f04082078.png ; $\phi _ { F } ^ { * } F _ { u } ( X , Y ) = F ( X , Y )$ ; confidence 0.958

217. a011450139.png ; $\phi _ { K } ( X )$ ; confidence 0.958

218. a110040248.png ; $m = ( N - k ) / 2$ ; confidence 0.958

219. d030700154.png ; $H ^ { 1 } ( X _ { 0 } , T _ { X _ { 0 } } ) = 0$ ; confidence 0.958

220. a01121019.png ; $v ( x ) = \frac { 1 } { 2 } \frac { x ^ { - 1 / 4 } } { \sqrt { \pi } } \operatorname { exp } ( - \frac { 2 } { 3 } x ^ { 3 / 2 } ) [ 1 + O ( x ^ { - 3 / 2 } ) ] , \quad x \rightarrow + \infty$ ; confidence 0.958

221. s13053052.png ; $F _ { q }$ ; confidence 0.958

222. h04770032.png ; $M ( k ) \neq \emptyset$ ; confidence 0.957

223. a01121091.png ; $\int _ { z _ { 0 } } ^ { z } \sqrt { q ( t ) } d t = 0$ ; confidence 0.957

224. a01145049.png ; $H ^ { 0 } ( X , \Omega _ { X } ^ { 1 } )$ ; confidence 0.957

225. a01165079.png ; $H$ ; confidence 0.957

226. c02096032.png ; $y _ { n + 1 } = y _ { n } + \frac { h } { 2 } ( f _ { n + 1 } + f _ { n } )$ ; confidence 0.957

227. c023110101.png ; $Z G$ ; confidence 0.957

228. c0262508.png ; $( f _ { 1 } + f _ { 2 } ) ( x ) = f _ { 1 } ( x ) + f _ { 2 } ( x )$ ; confidence 0.957

229. d033530372.png ; $d _ { n } \ll p _ { n } ^ { \theta }$ ; confidence 0.957

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

231. m11022016.png ; $\lambda ^ { * } \in R ^ { m }$ ; confidence 0.957

232. p0724307.png ; $\epsilon \ll 1$ ; confidence 0.957

233. s09076026.png ; $L _ { 0 } ^ { * } = L _ { 1 }$ ; confidence 0.957

234. v130050114.png ; $1 _ { n } ( w ) = 0$ ; confidence 0.957

235. a0110802.png ; $M M ^ { * }$ ; confidence 0.957

236. d034120496.png ; $X ^ { * \prime } = X$ ; confidence 0.957

237. b11050020.png ; $G _ { d }$ ; confidence 0.957

238. s085590128.png ; $\overline { U } ( 0,1 ) = \{ z \in \overline { C } : | z | \leq 1 \}$ ; confidence 0.957

239. s0855908.png ; $U ( \zeta , R ) = \{ z \in \overline { C } : | z - \zeta | < R \}$ ; confidence 0.957

240. a130070104.png ; $\sigma ^ { * } ( n ) > \alpha n$ ; confidence 0.957

241. a01121057.png ; $x _ { 2 } ( \alpha )$ ; confidence 0.957

242. d034120336.png ; $| z | < R$ ; confidence 0.957

243. a13012024.png ; $r \geq k + \lambda$ ; confidence 0.957

244. w12009021.png ; $S ( n , 1 )$ ; confidence 0.956

245. l058590159.png ; $G _ { 2 } , F _ { 4 } , E _ { 6 } , E _ { 7 } , E _ { 8 }$ ; confidence 0.956

246. c02333033.png ; $H = \frac { 1 } { 36 } \left| \begin{array} { c c } { \frac { \partial ^ { 2 } f } { \partial x ^ { 2 } } } & { \frac { \partial ^ { 2 } f } { \partial x \partial y } } \\ { \frac { \partial ^ { 2 } f } { \partial x \partial y } } & { \frac { \partial ^ { 2 } f } { \partial y ^ { 2 } } } \end{array} \right| =$ ; confidence 0.956

247. a01099039.png ; $\frac { 1 } { \Gamma } _ { i j } ^ { k }$ ; confidence 0.956

248. a120070112.png ; $L ( x , t , D _ { x } )$ ; confidence 0.956

249. b12009092.png ; $f \in B ( m / n )$ ; confidence 0.956

250. b01780036.png ; $d \geq n$ ; confidence 0.956

251. d03185095.png ; $x \neq \pm 1$ ; confidence 0.956

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

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

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

255. l11002085.png ; $x \preceq y$ ; confidence 0.956

256. r13010034.png ; $D _ { n }$ ; confidence 0.956

257. s08711028.png ; $\delta < \alpha$ ; confidence 0.956

258. w120110210.png ; $G = G ^ { \sigma }$ ; confidence 0.956

259. l058590158.png ; $A _ { n } , n \geq 1 , \quad B _ { n } , n \geq 2 , \quad C _ { n } , n \geq 3 , \quad D _ { n } , n \geq 4$ ; confidence 0.956

260. a010810108.png ; $U ( x ) = 0 , \quad U ^ { * } ( \psi ) = 0$ ; confidence 0.956

261. l05861051.png ; $SO ( 2 n )$ ; confidence 0.956

262. a110040100.png ; $( - 1 ) _ { A } ^ { * } \Theta \simeq \Theta$ ; confidence 0.956

263. a12010016.png ; $S ( t ) x = e ^ { - t A _ { x } }$ ; confidence 0.956

264. d03249035.png ; $F ( \eta ) = F ( \zeta )$ ; confidence 0.956

265. a11004019.png ; $\operatorname { deg } \phi _ { L } = d ^ { 2 }$ ; confidence 0.956

266. l05872011.png ; $x : y \rightarrow [ x , y ]$ ; confidence 0.956

267. a110010297.png ; $F ( A ) = e ^ { A }$ ; confidence 0.956

268. a1103803.png ; $( T , D , I )$ ; confidence 0.956

269. a0102205.png ; $p \geq 1$ ; confidence 0.956

270. b13001079.png ; $V ^ { * }$ ; confidence 0.955

271. a011600209.png ; $( \frac { K / k } { \mathfrak { a } } )$ ; confidence 0.955

272. m11012010.png ; $SO ( 3,1 )$ ; confidence 0.955

273. a01121096.png ; $( 0 , e ^ { \pm i \pi / 3 } )$ ; confidence 0.955

274. a01107010.png ; $M _ { 0 }$ ; confidence 0.955

275. a1103701.png ; $X = \{ X ( t ) : t \in R + \}$ ; confidence 0.955

276. a01149093.png ; $f _ { 1 } ^ { \prime } ( x ) = \sum _ { i = 0 } ^ { \infty } \alpha _ { i } ^ { 1 } \tau ^ { i } = \sum _ { i = 0 } ^ { \infty } \alpha _ { i } ^ { 1 } ( x - x _ { 0 } ) ^ { i / \alpha _ { 1 } }$ ; confidence 0.955

277. w09759011.png ; $I = \operatorname { ind } _ { k } ( D )$ ; confidence 0.955

278. a011450138.png ; $\phi _ { K }$ ; confidence 0.955

279. d0307909.png ; $\lambda ^ { m }$ ; confidence 0.955

280. f03847048.png ; $\tau _ { 0 } = 0$ ; confidence 0.955

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

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

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

284. q07631081.png ; $H _ { i } \in \mathfrak { g }$ ; confidence 0.955

285. a110010192.png ; $T ^ { - 1 } A T = \Lambda$ ; confidence 0.955

286. l05876038.png ; $1 \leq i , j \leq r , \quad 1 \leq l \leq n$ ; confidence 0.955

287. j05434030.png ; $C _ { m } ( \lambda ) = \operatorname { rk } ( A - \lambda E ) ^ { m - 1 } - 2 \operatorname { rk } ( A - \lambda E ) ^ { m } +$ ; confidence 0.955

288. a014170123.png ; $( x , v ) \gamma = ( x \gamma , j ( x , \gamma ) v )$ ; confidence 0.955

289. g13002038.png ; $2 \sqrt [ 2 ] { 3 }$ ; confidence 0.954

290. a01138092.png ; $u _ { 1 } = u _ { 2 }$ ; confidence 0.954

291. a01146014.png ; $Z \in C ^ { p } ( X )$ ; confidence 0.954

292. a011380193.png ; $\& , + , 1$ ; confidence 0.954

293. a12015061.png ; $U ( n ) / ( U ( n _ { 1 } ) \times \ldots \times U ( n _ { k } ) )$ ; confidence 0.954

294. a01064021.png ; $\sigma _ { 0 } ( m )$ ; confidence 0.954

295. a13008032.png ; $\frac { f ^ { \prime } ( R ) } { f ( R ) } = \frac { g ^ { \prime } ( R ; m , s ) } { g ( R ; m , s ) }$ ; confidence 0.954

296. a01018024.png ; $\sigma > \sigma 0$ ; confidence 0.954

297. a01164083.png ; $H _ { i } ( V , Z )$ ; confidence 0.954

298. a1104901.png ; $D = d / d t$ ; confidence 0.954

299. c11020072.png ; $\lambda \in \Lambda$ ; confidence 0.954

300. d03224071.png ; $d \omega = d \square ^ { * } \omega = 0$ ; confidence 0.954

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/12. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/12&oldid=43919