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(AUTOMATIC EDIT of page 7 out of 19 with 300 lines: Updated image/latex database (currently 5483 images latexified; order by Confidence, ascending: False.)
(AUTOMATIC EDIT of page 7 out of 35 with 300 lines: Updated image/latex database (currently 10225 images latexified; order by Confidence, ascending: False.)
 
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== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110370/a1103706.png ; $X ( 0 )$ ; confidence 0.973
+
1. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q076310139.png ; $R T _ { 1 } T _ { 2 } = T _ { 2 } T _ { 1 } R$ ; confidence 0.994
  
2. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013074.png ; $T$ ; confidence 0.973
+
2. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055570/k05557085.png ; $D ( k )$ ; confidence 0.994
  
3. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017550/b0175508.png ; $t _ { 1 } + t$ ; confidence 0.973
+
3. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010175.png ; $\delta A ^ { + } = - B B ^ { T } R$ ; confidence 0.994
  
4. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021130/c02113024.png ; $\partial I ^ { p }$ ; confidence 0.973
+
4. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046550/h04655016.png ; $\{ U _ { i } \} _ { i \in I }$ ; confidence 0.994
  
5. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130060/e13006023.png ; $z \in Z$ ; confidence 0.973
+
5. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010990/a01099023.png ; $r = r ( t )$ ; confidence 0.994
  
6. https://www.encyclopediaofmath.org/legacyimages/g/g110/g110260/g1102602.png ; $B M$ ; confidence 0.973
+
6. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010130.png ; $b _ { 2 } \neq b _ { 6 }$ ; confidence 0.994
  
7. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h04642087.png ; $L _ { \infty } ( \hat { G } )$ ; confidence 0.973
+
7. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420162.png ; $\theta = \theta ^ { \prime }$ ; confidence 0.994
  
8. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j120020240.png ; $B M O$ ; confidence 0.973
+
8. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420137.png ; $\tau \mapsto K _ { 0 } ( \tau )$ ; confidence 0.994
  
9. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055480/k05548012.png ; $\partial / \partial x ^ { \alpha } \rightarrow ( \partial / \partial x ^ { \alpha } ) - i e A _ { \alpha } / \hbar$ ; confidence 0.973
+
9. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a011370171.png ; $f ( \psi ( z ) )$ ; confidence 0.994
  
10. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062690/m06269073.png ; $k \frac { \partial u } { \partial n } + h u | _ { S } = v ( x )$ ; confidence 0.973
+
10. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012980/a01298030.png ; $\phi _ { k } ( t _ { k } ) = 1$ ; confidence 0.994
  
11. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064990/m06499028.png ; $\sum _ { j = 0 } ^ { i } ( - 1 ) ^ { j } m _ { i - j } \geq \sum _ { j = 0 } ^ { i } ( - 1 ) ^ { j } b _ { i - j }$ ; confidence 0.973
+
11. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110130/b1101309.png ; $E _ { 2 }$ ; confidence 0.994
  
12. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075450/p07545043.png ; $U _ { i j } = \operatorname { Spec } ( A _ { i j } )$ ; confidence 0.973
+
12. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539051.png ; $L _ { 11 } < L _ { 12 }$ ; confidence 0.994
  
13. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086330/s08633098.png ; $A \Phi \subset \Phi$ ; confidence 0.973
+
13. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016960/b016960175.png ; $M _ { 1 } \cup M _ { 2 }$ ; confidence 0.994
  
14. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087130/s08713053.png ; $m < \infty$ ; confidence 0.973
+
14. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024820/c02482046.png ; $\leq ( n + 1 ) ( n + 2 ) / 2$ ; confidence 0.994
  
15. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006016.png ; $\omega \mapsto ( \omega , \omega )$ ; confidence 0.973
+
15. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032360/d03236035.png ; $\frac { \partial u } { \partial t } + u \frac { \partial u } { \partial x } = D \frac { \partial ^ { 2 } u } { \partial x ^ { 2 } }$ ; confidence 0.994
  
16. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010700/a01070024.png ; $s : B \rightarrow C$ ; confidence 0.973
+
16. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032450/d032450146.png ; $\operatorname { dim } X \times Y < \operatorname { dim } X + \operatorname { dim } Y$ ; confidence 0.994
  
17. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539061.png ; $\rho ( \pi , \delta _ { \epsilon } ^ { * } ) \leq \operatorname { inf } _ { \delta } \rho ( \pi , \delta ) + \epsilon$ ; confidence 0.972
+
17. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120180/d12018028.png ; $H ^ { p } ( d \theta / 2 \pi )$ ; confidence 0.994
  
18. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a1300807.png ; $g ( x ) = h ( x ) / \alpha$ ; confidence 0.972
+
18. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035250/e035250110.png ; $f = u _ { 1 } + i u _ { 2 }$ ; confidence 0.994
  
19. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040223.png ; $K _ { A } = A / ( - 1 ) _ { A }$ ; confidence 0.972
+
19. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036240/e03624043.png ; $\sigma \approx s$ ; confidence 0.994
  
20. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008066.png ; $v _ { 1 } = d u / d t$ ; confidence 0.972
+
20. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036400/e03640033.png ; $2 - m - 1$ ; confidence 0.994
  
21. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539035.png ; $p ( x ) = \int _ { \Theta } p ( x | \theta ) \pi ( \theta ) d \nu ( \theta )$ ; confidence 0.972
+
21. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036820/e03682038.png ; $\tau \geq \zeta$ ; confidence 0.994
  
22. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016900/b0169001.png ; $d s ^ { 2 } = \frac { d u ^ { 2 } + d v ^ { 2 } } { ( U + V ) ^ { 2 } }$ ; confidence 0.972
+
22. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037200/e037200118.png ; $\gamma \geq 0$ ; confidence 0.994
  
23. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016960/b016960126.png ; $\omega _ { i } = 1$ ; confidence 0.972
+
23. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020138.png ; $\pi : P \rightarrow G \backslash P$ ; confidence 0.994
  
24. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120200/c12020014.png ; $W ^ { m + 1 }$ ; confidence 0.972
+
24. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g043780157.png ; $T \xi$ ; confidence 0.994
  
25. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038390/f038390152.png ; $\alpha ^ { \lambda } = 1$ ; confidence 0.972
+
25. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044840/g04484023.png ; $B \rightarrow b B$ ; confidence 0.994
  
26. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120190/f12019028.png ; $C _ { G } ( n ) \leq N$ ; confidence 0.972
+
26. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052860/i052860119.png ; $( = 2 / \pi )$ ; confidence 0.994
  
27. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f120230136.png ; $J : T M \rightarrow T M$ ; confidence 0.972
+
27. https://www.encyclopediaofmath.org/legacyimages/i/i053/i053040/i05304033.png ; $F _ { 0 }$ ; confidence 0.994
  
28. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041890/f0418904.png ; $D = \{ z \in C : | z | < 1 \}$ ; confidence 0.972
+
28. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130070/j13007082.png ; $\phi _ { \omega } ( F ( z ) ) \leq \phi _ { \omega } ( z )$ ; confidence 0.994
  
29. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047930/h047930317.png ; $S X \rightarrow S X$ ; confidence 0.972
+
29. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055480/k05548037.png ; $R \phi / 6$ ; confidence 0.994
  
30. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j13004075.png ; $( n _ { + } - n _ { - } ) - ( s ( D _ { L } ) - 1 ) \leq e \leq E \leq ( n _ { + } - n _ { - } ) + ( s ( D _ { L } ) - 1 )$ ; confidence 0.972
+
30. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057200/l0572001.png ; $T + V = h$ ; confidence 0.994
  
31. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110190/k11019034.png ; $\mu _ { n } ( P \| Q ) =$ ; confidence 0.972
+
31. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058610/l05861031.png ; $Z \times T$ ; confidence 0.994
  
32. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060600/l06060030.png ; $\pi < \operatorname { arg } z \leq \pi$ ; confidence 0.972
+
32. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120210/m12021026.png ; $\lambda K + t$ ; confidence 0.994
  
33. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058310/l05831065.png ; $F _ { n } ( - \infty ) \rightarrow F ( - \infty )$ ; confidence 0.972
+
33. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066360/n06636034.png ; $\{ x _ { \alpha } \} _ { \alpha \in \Sigma }$ ; confidence 0.994
  
34. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065560/m06556075.png ; $\frac { | z | ^ { p } } { ( 1 + | z | ) ^ { 2 p } } \leq | f ( z ) | \leq \frac { | z | ^ { p } } { ( 1 - | z | ) ^ { 2 p } }$ ; confidence 0.972
+
34. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066440/n06644040.png ; $\sum _ { n = 0 } ^ { \infty } A ^ { n } f$ ; confidence 0.994
  
35. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072980/p07298015.png ; $\beta \in L _ { q }$ ; confidence 0.972
+
35. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067840/n06784093.png ; $A \in L _ { \infty } ( H )$ ; confidence 0.994
  
36. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073460/p07346048.png ; $W = M + U$ ; confidence 0.972
+
36. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070310/o070310119.png ; $A \perp A ^ { T }$ ; confidence 0.994
  
37. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080940/r08094028.png ; $\{ \alpha _ { n } ^ { ( e ) } \}$ ; confidence 0.972
+
37. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072880/p07288011.png ; $\{ z _ { k } \} \subset \Delta$ ; confidence 0.994
  
38. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018065.png ; $1 + m x / 2 + m ( m - 1 ) x ^ { 2 } / ( 2.1 ) +$ ; confidence 0.972
+
38. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072930/p07293055.png ; $\sigma _ { 2 n } = 2 \pi ^ { n } / ( n - 1 ) !$ ; confidence 0.994
  
39. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001014.png ; $\operatorname { det } ( A ) \neq 0$ ; confidence 0.972
+
39. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073340/p0733402.png ; $X ( t _ { 2 } ) - X ( t _ { 1 } )$ ; confidence 0.994
  
40. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022089.png ; $( p - 2 ) ( p - 3 ) / 2$ ; confidence 0.971
+
40. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073930/p07393024.png ; $A / N _ { f }$ ; confidence 0.994
  
41. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120110/a12011020.png ; $A ( 3 , n ) = 2 ^ { n + 3 } - 3$ ; confidence 0.971
+
41. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074720/p07472076.png ; $\gamma \in G$ ; confidence 0.994
  
42. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240439.png ; $( N ) \leq 1$ ; confidence 0.971
+
42. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075360/p0753601.png ; $X = \operatorname { Proj } ( R )$ ; confidence 0.994
  
43. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024092.png ; $g = 2$ ; confidence 0.971
+
43. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082290/r082290135.png ; $U : E \rightarrow M$ ; confidence 0.994
  
44. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a1301302.png ; $\frac { \partial } { \partial t } P _ { 1 } - \frac { \partial } { \partial x } Q _ { 2 } + [ P _ { 1 } , Q _ { 2 } ] = 0$ ; confidence 0.971
+
44. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085300/s08530020.png ; $c b = c$ ; confidence 0.994
  
45. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010105.png ; $\Delta A = \epsilon | A$ ; confidence 0.971
+
45. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091570/s09157097.png ; $T ^ { * } Y \backslash 0$ ; confidence 0.994
  
46. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a130130100.png ; $A K N S$ ; confidence 0.971
+
46. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150169.png ; $F \in \gamma$ ; confidence 0.994
  
47. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110690/b11069063.png ; $P T ( C ) \in G$ ; confidence 0.971
+
47. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012058.png ; $( x , y )$ ; confidence 0.994
  
48. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020920/c02092013.png ; $\Omega _ { 0 } \times \{ x _ { 0 }$ ; confidence 0.971
+
48. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081055.png ; $U _ { k }$ ; confidence 0.994
  
49. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041880/f04188062.png ; $V _ { 0 } ( z )$ ; confidence 0.971
+
49. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a01130039.png ; $\gamma _ { \mu } : G ( k ) \rightarrow J ^ { \mu }$ ; confidence 0.994
  
50. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047380/h047380203.png ; $\nu \in A$ ; confidence 0.971
+
50. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a01138048.png ; $x \& x = 0$ ; confidence 0.994
  
51. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047940/h047940245.png ; $\Delta _ { q }$ ; confidence 0.971
+
51. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110440/a1104409.png ; $A \vee B = A \wedge B = \emptyset$ ; confidence 0.994
  
52. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650350.png ; $i _ { \alpha } ( D ) \in K ( Y )$ ; confidence 0.971
+
52. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a1300709.png ; $45045 = 5.79 .11 .13$ ; confidence 0.994
  
53. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051410/i05141058.png ; $0 < \alpha < a$ ; confidence 0.971
+
53. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004094.png ; $( E L ) = 2$ ; confidence 0.994
  
54. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051430/i05143036.png ; $\{ \alpha _ { i } ( x ) \}$ ; confidence 0.971
+
54. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011390/a01139013.png ; $L _ { 1 } ( G )$ ; confidence 0.994
  
55. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064000/m0640004.png ; $\epsilon > 0$ ; confidence 0.971
+
55. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120234.png ; $\alpha : H ^ { p } ( X , F ) \rightarrow H ^ { p } ( Y , F )$ ; confidence 0.994
  
56. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120230/m12023042.png ; $( ( \partial f ) ^ { - 1 } + t l ) ^ { - 1 }$ ; confidence 0.971
+
56. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797046.png ; $U ( P _ { A } )$ ; confidence 0.994
  
57. https://www.encyclopediaofmath.org/legacyimages/n/n110/n110010/n1100102.png ; $f \in L _ { \infty } ( T )$ ; confidence 0.971
+
57. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010670/a01067022.png ; $d y = h ( x , t ) d t + d v$ ; confidence 0.994
  
58. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076830/q07683018.png ; $Q _ { 0 } ^ { 0 } = Q ^ { 0 }$ ; confidence 0.971
+
58. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120030/k1200308.png ; $\operatorname { Ric } ( \omega ) = - \omega$ ; confidence 0.994
  
59. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090190/s09019043.png ; $t = Z$ ; confidence 0.971
+
59. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a01149065.png ; $x ^ { \prime } \neq x 0$ ; confidence 0.994
  
60. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040533.png ; $C : P ( A ) \rightarrow P ( A )$ ; confidence 0.971
+
60. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120110/a12011036.png ; $\alpha ( m , n ) \leq 3$ ; confidence 0.994
  
61. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008043.png ; $V \times L ^ { 2 } ( \Omega )$ ; confidence 0.971
+
61. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q07631019.png ; $( A , \Delta , \epsilon , S )$ ; confidence 0.994
  
62. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010036.png ; $f \in C ( [ 0,1 ] )$ ; confidence 0.971
+
62. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240380.png ; $( p , n - r - p + 1 )$ ; confidence 0.994
  
63. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040345.png ; $\tilde { \Omega } _ { D } F =$ ; confidence 0.971
+
63. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a120070120.png ; $u ( v )$ ; confidence 0.994
  
64. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016052.png ; $\beta _ { k }$ ; confidence 0.970
+
64. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010640/a01064016.png ; $k _ { 2 } = 3$ ; confidence 0.994
  
65. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042060.png ; $K _ { 1 }$ ; confidence 0.970
+
65. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010680/a01068044.png ; $\{ m \}$ ; confidence 0.994
  
66. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028017.png ; $l ( D ) \geq \chi ( G ) - 1$ ; confidence 0.970
+
66. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011100/a01110030.png ; $A ( L )$ ; confidence 0.994
  
67. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009082.png ; $L ( r ) = \int _ { 0 } ^ { 2 \pi } | z f ^ { \prime } ( z ) | d \theta = O ( \operatorname { log } \frac { 1 } { 1 - r } )$ ; confidence 0.970
+
67. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052040.png ; $A _ { M }$ ; confidence 0.994
  
68. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020088.png ; $\Delta _ { - } = - \Delta _ { + }$ ; confidence 0.970
+
68. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014030.png ; $\phi _ { \beta } : X _ { i } \rightarrow X _ { j }$ ; confidence 0.994
  
69. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021760/c0217608.png ; $p ( x ) = \frac { 1 } { ( 2 \pi ) ^ { 3 / 2 } \sigma ^ { 2 } } \operatorname { exp } \{ - \frac { 1 } { 2 \sigma ^ { 2 } } ( x _ { 1 } ^ { 2 } + x _ { 2 } ^ { 2 } + x _ { 3 } ^ { 2 } ) \}$ ; confidence 0.970
+
69. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047410/h047410106.png ; $N _ { K / k } ( \beta )$ ; confidence 0.994
  
70. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023050/c023050103.png ; $\operatorname { cd } _ { p } ( X ) \leq \operatorname { cohcd } ( X ) + 1$ ; confidence 0.970
+
70. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047410/h047410131.png ; $F = F ( x , y , \dot { x } , \dot { y } )$ ; confidence 0.994
  
71. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025350/c025350101.png ; $E _ { 1 } \rightarrow E _ { 1 }$ ; confidence 0.970
+
71. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010820/a01082057.png ; $\epsilon : X \rightarrow G ( Y )$ ; confidence 0.994
  
72. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110090/d11009089.png ; $D \subseteq g H g ^ { - 1 }$ ; confidence 0.970
+
72. https://www.encyclopediaofmath.org/legacyimages/g/g110/g110110/g1101103.png ; $\mathfrak { g } = \mathfrak { k } + \mathfrak { p }$ ; confidence 0.994
  
73. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035320/e0353202.png ; $\tau _ { i + 1 } - \tau _ { i }$ ; confidence 0.970
+
73. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a120070122.png ; $A ( t , v )$ ; confidence 0.994
  
74. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041940/f041940314.png ; $L _ { p } ( X )$ ; confidence 0.970
+
74. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110120/l11012076.png ; $i \geq 2$ ; confidence 0.994
  
75. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072760/p0727608.png ; $f ( x ) \mapsto \hat { f } ( y )$ ; confidence 0.970
+
75. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640106.png ; $p _ { 12 } = 1$ ; confidence 0.994
  
76. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073700/p073700202.png ; $d ( s ) = \operatorname { sup } \{ n : s \in F _ { n } \}$ ; confidence 0.970
+
76. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055017.png ; $\{ \phi _ { g } ( x _ { 0 } ) \} _ { g \in G }$ ; confidence 0.994
  
77. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076430/q076430127.png ; $f : R _ { + } ^ { n } \rightarrow R _ { + } ^ { n }$ ; confidence 0.970
+
77. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a01130085.png ; $m - i < 1$ ; confidence 0.994
  
78. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077130/r077130114.png ; $\phi < \beta < L < K < J < T < \tau < F$ ; confidence 0.970
+
78. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006034.png ; $A _ { K }$ ; confidence 0.994
  
79. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083000/s08300055.png ; $D _ { n } D _ { n } \theta = \theta$ ; confidence 0.970
+
79. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l058590192.png ; $f ^ { - 1 } ( u ) f ^ { - 1 } ( v ) = f ^ { - 1 } ( u v )$ ; confidence 0.994
  
80. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120180/s12018056.png ; $M = M ^ { \perp \perp }$ ; confidence 0.970
+
80. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020570/c02057061.png ; $\overline { \partial } g = 0$ ; confidence 0.994
  
81. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087640/s08764057.png ; $I \subset O ( X )$ ; confidence 0.970
+
81. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110070/a11007035.png ; $2 n \geq p$ ; confidence 0.994
  
82. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097670/w097670153.png ; $\oplus V _ { k } ( M ) / V _ { k - 1 } ( M )$ ; confidence 0.970
+
82. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050235.png ; $A _ { G } > 0$ ; confidence 0.994
  
83. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097710/w0977109.png ; $N _ { G } ( T )$ ; confidence 0.970
+
83. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001048.png ; $t - p$ ; confidence 0.994
  
84. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018014.png ; $z - b | < R$ ; confidence 0.970
+
84. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310111.png ; $M ( C ( S ) , \alpha , G )$ ; confidence 0.994
  
85. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240156.png ; $c ^ { \prime }$ ; confidence 0.970
+
85. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085900/s08590024.png ; $\| \partial F _ { i } / \partial X _ { j } ( x ) \|$ ; confidence 0.994
  
86. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a130080104.png ; $b ( x ) \leq q ( x ) = \frac { f ( x ) } { h ( x ) } , \text { for all } - \infty < x < \infty$ ; confidence 0.970
+
86. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081030/r08103035.png ; $W _ { k } ( S _ { i } , G )$ ; confidence 0.993
  
87. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006020.png ; $8$ ; confidence 0.970
+
87. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539019.png ; $\rho ( \pi , \delta ) = \int _ { \Theta } \rho ( \theta , \delta ) \pi ( d \theta )$ ; confidence 0.993
  
88. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007047.png ; $A u \in C ^ { \alpha } ( [ 0 , T ] ; X )$ ; confidence 0.969
+
88. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110410/a11041068.png ; $\tau = u / v$ ; confidence 0.993
  
89. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240478.png ; $0$ ; confidence 0.969
+
89. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110490/a11049038.png ; $D ( x y ) = x D y + y D x$ ; confidence 0.993
  
90. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023380/c02338039.png ; $f \in L _ { 1 } ( G )$ ; confidence 0.969
+
90. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032890/d03289090.png ; $\Lambda ( n )$ ; confidence 0.993
  
91. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026230/c02623013.png ; $\int _ { - \pi } ^ { \pi } d \mu ( \theta ) = 1$ ; confidence 0.969
+
91. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010760/a01076011.png ; $d I ( t ) / d t$ ; confidence 0.993
  
92. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i13009026.png ; $\mu _ { m }$ ; confidence 0.969
+
92. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a011490137.png ; $y = y ( t ) , \quad x = x ( t )$ ; confidence 0.993
  
93. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080020/r08002019.png ; $\operatorname { dim } A = n = q - s$ ; confidence 0.969
+
93. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011480/a01148089.png ; $n = 5$ ; confidence 0.993
  
94. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240350.png ; $( n - r ) \times p$ ; confidence 0.969
+
94. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060124.png ; $F$ ; confidence 0.993
  
95. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120040/a12004012.png ; $( d / d t ) x ( t ) = A x ( t )$ ; confidence 0.969
+
95. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012029.png ; $\mu _ { i } > 0$ ; confidence 0.993
  
96. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020053.png ; $\pi 1 , \pi 2$ ; confidence 0.968
+
96. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120180/a12018081.png ; $\operatorname { ln } ( 1 + t ) = t - t ^ { 2 } / 2 + t ^ { 3 } / 3 -$ ; confidence 0.993
  
97. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001059.png ; $\delta x$ ; confidence 0.968
+
97. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a0102007.png ; $A + B$ ; confidence 0.993
  
98. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a130080100.png ; $X = \alpha + \frac { b V - c } { U ^ { 1 / k } } , Y = U ^ { 1 / k }$ ; confidence 0.968
+
98. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145091.png ; $l ( K - D ) = 0$ ; confidence 0.993
  
99. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010600/a0106001.png ; $A$ ; confidence 0.968
+
99. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110370/a11037027.png ; $X _ { 2 } ( t ) = \sum _ { t _ { k } \leq t } X _ { k } ^ { - } + \sum _ { t _ { k } < t } X _ { k } ^ { + } , \quad t \geq 0$ ; confidence 0.993
  
100. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a11022076.png ; $\phi \in H$ ; confidence 0.968
+
100. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120277.png ; $O ^ { F }$ ; confidence 0.993
  
101. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040373.png ; $\Omega F \subseteq \Omega G$ ; confidence 0.968
+
101. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240179.png ; $\eta _ { i j } = \mu + \alpha _ { i } + \beta _ { j } + \gamma _ { i j }$ ; confidence 0.993
  
102. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240110.png ; $x$ ; confidence 0.968
+
102. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008046.png ; $- \frac { d } { d s } \operatorname { ln } \alpha ( s ) = - \frac { d } { d L } \operatorname { ln } \frac { f ( L ) } { g ( L ; m , s ) } \frac { d L } { d s } +$ ; confidence 0.993
  
103. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012410/a012410135.png ; $f ( S )$ ; confidence 0.968
+
103. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d03183090.png ; $p = p _ { F } ( B )$ ; confidence 0.993
  
104. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013170/a01317026.png ; $y _ { t } = t - S _ { \eta _ { t } }$ ; confidence 0.968
+
104. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120192.png ; $H ^ { p } ( X , O _ { X } ( D ) )$ ; confidence 0.993
  
105. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006091.png ; $m _ { B } ( A ) = 0$ ; confidence 0.968
+
105. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830255.png ; $\partial _ { i } : R \rightarrow R$ ; confidence 0.993
  
106. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g04381012.png ; $\overline { O } _ { k }$ ; confidence 0.968
+
106. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040155.png ; $J ( C )$ ; confidence 0.993
  
107. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g1300606.png ; $p _ { n } ( z ) : = \operatorname { det } \{ z I - A \}$ ; confidence 0.968
+
107. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050115.png ; $\frac { \partial } { \partial s } U ( t , s ) v = U ( t , s ) A ( s ) v$ ; confidence 0.993
  
108. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044660/g04466023.png ; $A _ { 0 } = \mathfrak { A } _ { 0 }$ ; confidence 0.968
+
108. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h047690122.png ; $n = 4 k - 1$ ; confidence 0.993
  
109. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051930/i051930154.png ; $\{ f _ { \alpha } : \alpha \in \mathfrak { A } \}$ ; confidence 0.968
+
109. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a011490107.png ; $P _ { k } ( x ) y$ ; confidence 0.993
  
110. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n06663069.png ; $\Delta _ { k } ^ { k } f ^ { ( s ) }$ ; confidence 0.968
+
110. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060112.png ; $\alpha > 1$ ; confidence 0.993
  
111. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096020/v096020108.png ; $\lambda \leq 0.5$ ; confidence 0.968
+
111. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029033.png ; $A \cap A ^ { \prime }$ ; confidence 0.993
  
112. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120050/w12005029.png ; $D = R [ x ] / D$ ; confidence 0.968
+
112. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058660/l05866035.png ; $G$ ; confidence 0.993
  
113. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110170/a1101702.png ; $R ^ { d }$ ; confidence 0.968
+
113. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023050/c02305015.png ; $( n - p - 1 )$ ; confidence 0.993
  
114. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024028.png ; $g = ( \nu / 2 ) - n + 1$ ; confidence 0.968
+
114. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650172.png ; $\theta \subseteq A \times A$ ; confidence 0.993
  
115. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010165.png ; $( A ) = m < n$ ; confidence 0.967
+
115. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010330/a01033018.png ; $0 < r ^ { \prime } \leq r$ ; confidence 0.993
  
116. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052025.png ; $C n ^ { k }$ ; confidence 0.967
+
116. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420153.png ; $K _ { 0 } ( B ) ^ { + }$ ; confidence 0.993
  
117. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a12031049.png ; $B ( K )$ ; confidence 0.967
+
117. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420108.png ; $\tau ( x y ) = \tau ( y x )$ ; confidence 0.993
  
118. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007056.png ; $D _ { A ( t ) } ( \alpha , \infty )$ ; confidence 0.967
+
118. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042070.png ; $K _ { 0 } ( \varphi ) = \alpha$ ; confidence 0.993
  
119. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001022.png ; $n \geq 1$ ; confidence 0.967
+
119. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042085.png ; $x _ { i } \leq y _ { j }$ ; confidence 0.993
  
120. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042087.png ; $x _ { i } \leq z \leq y _ { j }$ ; confidence 0.967
+
120. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013055.png ; $L ( \Lambda _ { 0 } )$ ; confidence 0.993
  
121. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002020.png ; $D _ { 2 }$ ; confidence 0.967
+
121. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240286.png ; $1 - \alpha$ ; confidence 0.993
  
122. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050230.png ; $A ^ { \# }$ ; confidence 0.967
+
122. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650412.png ; $A _ { \alpha } \subseteq A$ ; confidence 0.993
  
123. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110250/b11025093.png ; $L ( t )$ ; confidence 0.967
+
123. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120230/a1202303.png ; $f \in C ( \partial D )$ ; confidence 0.993
  
124. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024780/c02478054.png ; $f ^ { \prime } ( z _ { 0 } )$ ; confidence 0.967
+
124. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016170/b01617015.png ; $F _ { n } ( z _ { 0 } ) = 0$ ; confidence 0.993
  
125. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032010/d03201062.png ; $\partial x / u = \partial t / 1$ ; confidence 0.967
+
125. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017340/b017340100.png ; $n ^ { \prime } = - n + m - 1$ ; confidence 0.993
  
126. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055180/k05518015.png ; $z ^ { 2 } y ^ { \prime \prime } + z y ^ { \prime } - ( i z ^ { 2 } + \nu ^ { 2 } ) y = 0$ ; confidence 0.967
+
126. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b01747076.png ; $1 \rightarrow K ( n ) \rightarrow B ( n ) \rightarrow S ( n ) \rightarrow 1$ ; confidence 0.993
  
127. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057780/l05778086.png ; $4.60$ ; confidence 0.967
+
127. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290203.png ; $0 \leq i \leq d - 1$ ; confidence 0.993
  
128. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058240/l0582408.png ; $\operatorname { grad } \phi ( \zeta ) \neq 0$ ; confidence 0.967
+
128. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020540/c020540177.png ; $\epsilon ( \sigma ) = 1$ ; confidence 0.993
  
129. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059340/l059340213.png ; $A -$ ; confidence 0.967
+
129. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120070/c12007011.png ; $1 \leq i \leq n - 1$ ; confidence 0.993
  
130. https://www.encyclopediaofmath.org/legacyimages/o/o110/o110070/o11007062.png ; $K$ ; confidence 0.967
+
130. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026010/c026010556.png ; $d y _ { t } = h ( x _ { t } ) d t + d w _ { t } ^ { 0 }$ ; confidence 0.993
  
131. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081400/r08140012.png ; $s < s ^ { \prime }$ ; confidence 0.967
+
131. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033990/d03399034.png ; $y ^ { \prime } ( b ) + \psi y ( b ) = \beta$ ; confidence 0.993
  
132. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110370/a11037018.png ; $X _ { 1 }$ ; confidence 0.967
+
132. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035160/e0351605.png ; $L ( u ) + \lambda u = 0$ ; confidence 0.993
  
133. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a110220103.png ; $f \in L ^ { 0 } ( H , m )$ ; confidence 0.967
+
133. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110070/e11007067.png ; $y ^ { 2 } = R ( x )$ ; confidence 0.993
  
134. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010580/a01058011.png ; $\Omega ( x , t )$ ; confidence 0.967
+
134. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035550/e03555010.png ; $X _ { t } = m F$ ; confidence 0.993
  
135. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029095.png ; $F : X _ { \delta } \rightarrow Y _ { \delta }$ ; confidence 0.967
+
135. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041270/f04127048.png ; $D ( B ) \supset D ( A )$ ; confidence 0.993
  
136. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013050.png ; $\Gamma ^ { * } = h _ { \theta } ^ { * } \square ^ { - 1 }$ ; confidence 0.966
+
136. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042070/f04207074.png ; $T _ { N } ( t )$ ; confidence 0.993
  
137. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040143.png ; $\varphi _ { L } : A \rightarrow P ^ { 2 }$ ; confidence 0.966
+
137. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120030/h12003026.png ; $\operatorname { dim } M = 2$ ; confidence 0.993
  
138. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010018.png ; $p _ { U } ( x ) = p _ { V K } ( x _ { 0 } )$ ; confidence 0.966
+
138. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h12012026.png ; $f \phi = 0$ ; confidence 0.993
  
139. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008017.png ; $u _ { 1 } ( x )$ ; confidence 0.966
+
139. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055940/k05594036.png ; $\eta ( \epsilon ) \rightarrow 0$ ; confidence 0.993
  
140. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007077.png ; $t , s \in [ 0 , T ]$ ; confidence 0.966
+
140. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058830/l05883068.png ; $- \Delta u + c u$ ; confidence 0.993
  
141. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050119.png ; $C ^ { 1 } ( [ 0 , T ] ; X ) \cap C ( [ 0 , T ] ; Y )$ ; confidence 0.966
+
141. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059350/l059350126.png ; $\dot { y } = - A ^ { T } ( t ) y$ ; confidence 0.993
  
142. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240170.png ; $\gamma _ { i } = 0$ ; confidence 0.966
+
142. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063460/m063460176.png ; $\psi _ { z } \neq 0$ ; confidence 0.993
  
143. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110560/b11056013.png ; $w _ { 2 } ( F )$ ; confidence 0.966
+
143. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067610/n06761056.png ; $( d \nu ) ( x _ { i } ) ( T _ { i } )$ ; confidence 0.993
  
144. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044470/g04447072.png ; $q ^ { \prime } \in A ^ { \prime }$ ; confidence 0.966
+
144. https://www.encyclopediaofmath.org/legacyimages/o/o110/o110070/o11007085.png ; $K _ { 10 }$ ; confidence 0.993
  
145. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047860/h047860136.png ; $n = r \neq 0$ ; confidence 0.966
+
145. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070240/o0702405.png ; $d W ( t ) / d t = W ^ { \prime } ( t )$ ; confidence 0.993
  
146. 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
+
146. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075350/p07535038.png ; $d ( S )$ ; confidence 0.993
  
147. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062160/m06216027.png ; $p < q$ ; confidence 0.966
+
147. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082200/r082200148.png ; $V ^ { \prime } = V ^ { \prime \prime } = R ^ { \prime } \cup R ^ { \prime \prime }$ ; confidence 0.993
  
148. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m13026036.png ; $x \lambda ( y ) = \rho ( x ) y$ ; confidence 0.966
+
148. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082640/r0826403.png ; $A _ { k } = U _ { k } ^ { * } A _ { k - 1 } U _ { k }$ ; confidence 0.993
  
149. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070240/o07024025.png ; $- \beta V$ ; confidence 0.966
+
149. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559026.png ; $0 < \tau _ { 1 } \leq 1$ ; confidence 0.993
  
150. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077130/r07713084.png ; $r _ { 1 } > r _ { 2 }$ ; confidence 0.966
+
150. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087460/s08746026.png ; $\{ \epsilon _ { t } \}$ ; confidence 0.993
  
151. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s13051063.png ; $\Gamma = \Gamma _ { 1 } + \ldots + \Gamma _ { m }$ ; confidence 0.966
+
151. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087640/s08764060.png ; $I = \{ f \in O ( X ) : f ( x ) = 0 \}$ ; confidence 0.993
  
152. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086960/s08696030.png ; $\| x _ { 0 } \| \leq \delta$ ; confidence 0.966
+
152. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093670/t09367039.png ; $\operatorname { lim } _ { \epsilon \rightarrow 0 } d ( E _ { \epsilon } ) = d ( E )$ ; confidence 0.993
  
153. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097720/w0977202.png ; $f ( x ) = \alpha _ { n } x ^ { n } + \ldots + \alpha _ { 1 } x$ ; confidence 0.966
+
153. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093710/t0937107.png ; $x = f ( \alpha )$ ; confidence 0.993
  
154. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010215.png ; $y ^ { i }$ ; confidence 0.965
+
154. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094660/t09466020.png ; $\phi ( z ) = \frac { 1 - z ^ { 2 } } { z } f ( z ) \in C$ ; confidence 0.993
  
155. 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
+
155. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090399.png ; $L ( \mu )$ ; confidence 0.993
  
156. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016850/b01685022.png ; $N = \sum _ { i = 1 } ^ { M } N$ ; confidence 0.965
+
156. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120210/w12021059.png ; $B _ { m } = R$ ; confidence 0.993
  
157. 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
+
157. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110150/a11015018.png ; $F ( t ) = 1 - \operatorname { exp } [ - ( \frac { t } { \tau } ) ^ { \beta } ] , \quad t \geq 0$ ; confidence 0.993
  
158. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020187.png ; $\delta : G ^ { \prime } \rightarrow W$ ; confidence 0.965
+
158. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820115.png ; $f ^ { - 1 } ( f ( Z ) ) = Z$ ; confidence 0.993
  
159. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m13025061.png ; $\int | \rho _ { \varepsilon } ( x ) | d x$ ; confidence 0.965
+
159. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a12031051.png ; $\{ x \in X : f ( x ) \neq 0 \}$ ; confidence 0.993
  
160. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085400/s085400446.png ; $X \rightarrow \Delta [ 0 ]$ ; confidence 0.965
+
160. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008075.png ; $f \in H ^ { 1 } ( [ 0 , T ] ; L ^ { 2 } ( \Omega ) )$ ; confidence 0.993
  
161. 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
+
161. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005094.png ; $t )$ ; confidence 0.993
  
162. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021024.png ; $\pi$ ; confidence 0.965
+
162. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033110/d03311035.png ; $i > j$ ; confidence 0.993
  
163. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310133.png ; $A ^ { \infty } / M$ ; confidence 0.964
+
163. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a01160057.png ; $r = r _ { 1 } + r _ { 2 } - 1$ ; confidence 0.993
  
164. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008034.png ; $S ( s + t ) + S ( s - t ) = 2 S ( s ) S ( t )$ ; confidence 0.964
+
164. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010760/a01076016.png ; $p , q$ ; confidence 0.993
  
165. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006035.png ; $\eta _ { K } < 1$ ; confidence 0.964
+
165. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050108.png ; $L ( Y ) = L ( Y , Y )$ ; confidence 0.993
  
166. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010073.png ; $w \in W$ ; confidence 0.964
+
166. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120564.png ; $f _ { i } ( x ) \leq y _ { i }$ ; confidence 0.993
  
167. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012100/a01210023.png ; $| \alpha | = \sqrt { \overline { \alpha } \alpha }$ ; confidence 0.964
+
167. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017022.png ; $\operatorname { lim } _ { t \rightarrow + \infty } \Omega ( t ) = 0$ ; confidence 0.993
  
168. 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
+
168. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010205.png ; $z \neq 0$ ; confidence 0.993
  
169. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026460/c02646017.png ; $i _ { k } = k - n [ k / n ] + 1$ ; confidence 0.964
+
169. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a0116402.png ; $f ( x _ { 0 } , x _ { 1 } , x _ { 2 } , x _ { 3 } ) = 0$ ; confidence 0.993
  
170. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062590/m06259061.png ; $\alpha = \beta _ { 1 } \vee \ldots \vee \beta _ { r }$ ; confidence 0.964
+
170. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a11022082.png ; $j \geq 1$ ; confidence 0.993
  
171. 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
+
171. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040753.png ; $( \Sigma ( P , R ) )$ ; confidence 0.993
  
172. 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
+
172. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018043.png ; $\phi ( s ) = B \frac { ( - 1 ) ^ { - \alpha } } { ( - \alpha - 1 ) ! } s ( s - s _ { 1 } ) ^ { - \alpha - 1 } \operatorname { ln } ( s - s _ { 1 } ) + g ( s )$ ; confidence 0.993
  
173. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024013.png ; $\int _ { L } \omega$ ; confidence 0.964
+
173. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110170/a11017022.png ; $\Omega _ { 0 } ^ { + }$ ; confidence 0.993
  
174. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110170/a11017023.png ; $\Omega _ { 0 }$ ; confidence 0.964
+
174. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r07764041.png ; $x ^ { n + 1 } + y ^ { 2 } + z ^ { 2 }$ ; confidence 0.993
  
175. 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
+
175. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a120070118.png ; $\frac { d u } { d t } = A ( t , u ) u + f ( t , u )$ ; confidence 0.993
  
176. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016089.png ; $\operatorname { Tr } ( A ^ { T } W A )$ ; confidence 0.963
+
176. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b13030093.png ; $i \geq 1$ ; confidence 0.993
  
177. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016042.png ; $\| A ^ { - 1 } \| ^ { - 1 }$ ; confidence 0.963
+
177. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t130140127.png ; $q _ { R } ( v ) > 0$ ; confidence 0.993
  
178. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013061.png ; $v ^ { 2 / 3 }$ ; confidence 0.963
+
178. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005062.png ; $t \in ( 0 , T ]$ ; confidence 0.993
  
179. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050143.png ; $P ( n )$ ; confidence 0.963
+
179. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010058.png ; $A = - \Delta$ ; confidence 0.993
  
180. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013000/a01300068.png ; $P _ { 0 } ( z )$ ; confidence 0.963
+
180. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081097.png ; $L ( x ) \equiv \dot { x } + A ( t ) x = 0 , \quad U ( x ) = 0 , \quad t \in \Delta$ ; confidence 0.993
  
181. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020280/c020280177.png ; $\underline { C } ( E ) = \operatorname { sup } C ( K )$ ; confidence 0.963
+
181. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010680/a01068025.png ; $r ( n )$ ; confidence 0.993
  
182. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025720/c02572035.png ; $B \circ A$ ; confidence 0.963
+
182. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a01146023.png ; $( 2 p - q , q )$ ; confidence 0.993
  
183. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026460/c02646046.png ; $\{ x _ { k } \}$ ; confidence 0.963
+
183. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050279.png ; $G ^ { \# } ( n )$ ; confidence 0.993
  
184. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038390/f038390108.png ; $q ( m ) = ( m ^ { p - 1 } - 1 ) / p$ ; confidence 0.963
+
184. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120040/b120040161.png ; $\epsilon = 0$ ; confidence 0.993
  
185. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120020/h120020104.png ; $P _ { - } \phi \in B _ { p } ^ { 1 / p }$ ; confidence 0.963
+
185. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120282.png ; $G \in O ^ { F }$ ; confidence 0.993
  
186. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065140/m06514041.png ; $S _ { n }$ ; confidence 0.963
+
186. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150069.png ; $p = 0$ ; confidence 0.992
  
187. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091070/s09107089.png ; $P _ { \theta } ( A | B )$ ; confidence 0.963
+
187. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072670/p07267028.png ; $k ( k ) = \operatorname { Pic } ( X )$ ; confidence 0.992
  
188. 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
+
188. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052046.png ; $A _ { k } ^ { 2 } = A _ { 2 k - 1 } ^ { 1 } + A _ { 2 k } ^ { 1 }$ ; confidence 0.992
  
189. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005015.png ; $t \mapsto ( I - A ( t ) ) ( I - A ( 0 ) ) ^ { - 1 }$ ; confidence 0.963
+
189. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046056.png ; $f ( x + h ) = \sum _ { n = 0 } ^ { \infty } \frac { 1 } { n ! } \delta ^ { n } f ( x , h )$ ; confidence 0.992
  
190. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005020.png ; $U ( s , s ) = I$ ; confidence 0.963
+
190. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029037.png ; $D _ { A }$ ; confidence 0.992
  
191. 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
+
191. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011080/a0110806.png ; $r = r ( s )$ ; confidence 0.992
  
192. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a130080101.png ; $f ( x ) / f$ ; confidence 0.963
+
192. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050117.png ; $f \in C ( [ 0 , T ] ; X ) \cap L ^ { 1 } ( 0 , T ; Y )$ ; confidence 0.992
  
193. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022010.png ; $z \in C ^ { p }$ ; confidence 0.963
+
193. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120200/b1202001.png ; $H ^ { 2 }$ ; confidence 0.992
  
194. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008027.png ; $A u = f$ ; confidence 0.962
+
194. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b0153908.png ; $L ( \theta , d )$ ; confidence 0.992
  
195. 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
+
195. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120398.png ; $y \in G$ ; confidence 0.992
  
196. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010680/a01068055.png ; $S _ { i } ( n )$ ; confidence 0.962
+
196. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006010.png ; $L ( R ^ { p } )$ ; confidence 0.992
  
197. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110250/a11025018.png ; $\alpha = \frac { T _ { \infty } - T _ { 0 } } { T _ { \infty } }$ ; confidence 0.962
+
197. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130120/a13012045.png ; $A G ( d , q )$ ; confidence 0.992
  
198. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012065.png ; $\lambda ^ { * } \geq \lambda ( x , y )$ ; confidence 0.962
+
198. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010950/a01095019.png ; $t \rightarrow 0$ ; confidence 0.992
  
199. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120040/a12004022.png ; $c > 0$ ; confidence 0.962
+
199. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a01417032.png ; $M = H$ ; confidence 0.992
  
200. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240529.png ; $R$ ; confidence 0.962
+
200. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a01149046.png ; $f _ { 0 } ^ { j } ( x ) = y _ { 0 } ^ { j } + \alpha _ { 1 } ^ { j } ( x - x _ { 0 } ) + \alpha _ { 2 } ^ { j } ( x - x _ { 0 } ) ^ { 2 } +$ ; confidence 0.992
  
201. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010020.png ; $t \rightarrow S ( t ) x$ ; confidence 0.962
+
201. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046058.png ; $= \frac { 1 } { 2 \pi i } \int _ { | \xi | = 1 } f ( x + \xi h ) \xi ^ { - n - 1 } d \xi$ ; confidence 0.992
  
202. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010278.png ; $X$ ; confidence 0.962
+
202. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058610/l05861062.png ; $\operatorname { pin } ( n )$ ; confidence 0.992
  
203. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110660/b11066023.png ; $L _ { p } ( R )$ ; confidence 0.962
+
203. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010292.png ; $| F ( A ) - G ( A ) \| \leq$ ; confidence 0.992
  
204. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130040/c1300407.png ; $\operatorname { log } \Gamma ( z ) = \int _ { 1 } ^ { z } \psi ( t ) d t$ ; confidence 0.962
+
204. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024076.png ; $P _ { 1 } , P _ { 2 } , P _ { 3 } , P _ { 4 }$ ; confidence 0.992
  
205. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035550/e03555028.png ; $y ^ { 2 } = x ^ { 3 } - g x - g$ ; confidence 0.962
+
205. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145058.png ; $g = \frac { ( m - 1 ) ( m - 2 ) } { 2 } - d$ ; confidence 0.992
  
206. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040690/f04069072.png ; $\alpha _ { \alpha } ^ { * } ( f ) \Omega = f$ ; confidence 0.962
+
206. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050128.png ; $D ( S ) = Y$ ; confidence 0.992
  
207. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059410/l05941048.png ; $Q _ { 3 } ( b )$ ; confidence 0.962
+
207. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010800/a01080017.png ; $\nabla \Rightarrow \Gamma _ { i j } ^ { k }$ ; confidence 0.992
  
208. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081390/r08139031.png ; $v _ { 2 } \in V _ { 2 }$ ; confidence 0.962
+
208. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110330/a1103307.png ; $N = \operatorname { card } ( U _ { n } )$ ; confidence 0.992
  
209. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090830/s0908308.png ; $m : B \rightarrow A$ ; confidence 0.962
+
209. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065570/m0655709.png ; $f ( v ) \neq 0$ ; confidence 0.992
  
210. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t120060116.png ; $E ^ { Q } ( N )$ ; confidence 0.962
+
210. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110350/a11035017.png ; $\psi _ { \mu } ( t )$ ; confidence 0.992
  
211. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120150/t1201505.png ; $\eta \in A \mapsto \xi \eta \in A$ ; confidence 0.962
+
211. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a13001016.png ; $B ^ { A } \cong ( A ^ { * } \otimes B )$ ; confidence 0.992
  
212. 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
+
212. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010079.png ; $( I + \lambda A )$ ; confidence 0.992
  
213. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010600/a01060044.png ; $Y _ { z } \cap Z = \{ z \}$ ; confidence 0.962
+
213. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010640/a01064015.png ; $k _ { 1 } = 2$ ; confidence 0.992
  
214. 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
+
214. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539047.png ; $\pi _ { 1 } + \pi _ { 2 } = 1$ ; confidence 0.992
  
215. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240200.png ; $H : X _ { 3 } \beta = 0$ ; confidence 0.961
+
215. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009080.png ; $| f ( z ) | < 1$ ; confidence 0.992
  
216. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007042.png ; $\sigma ( n ) / n \geq \alpha$ ; confidence 0.961
+
216. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110570/b11057039.png ; $H _ { k } \circ \operatorname { exp } ( X _ { F } ) = \operatorname { exp } ( X _ { F } ) ( H _ { k } )$ ; confidence 0.992
  
217. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240261.png ; $\psi = \sum _ { i = 1 } ^ { q } d _ { i } \zeta _ { i }$ ; confidence 0.961
+
217. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130170/b13017045.png ; $S _ { T }$ ; confidence 0.992
  
218. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027620/c0276205.png ; $F \in L ^ { * }$ ; confidence 0.961
+
218. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016810/b01681021.png ; $H = \sum _ { i } \frac { p _ { i } ^ { 2 } } { 2 m } + \sum _ { i } U ( r _ { i } )$ ; confidence 0.992
  
219. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120050/k1200504.png ; $B = \sum _ { j = 1 } ^ { t } b _ { j } B _ { j }$ ; confidence 0.961
+
219. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200102.png ; $\beta \neq - \alpha$ ; confidence 0.992
  
220. 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
+
220. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017350/b01735056.png ; $K ^ { + }$ ; confidence 0.992
  
221. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064700/m0647004.png ; $\alpha = \gamma ( 0 )$ ; confidence 0.961
+
221. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021600/c02160021.png ; $A$ ; confidence 0.992
  
222. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040380.png ; $\Omega h ^ { - 1 } ( F ) = h ^ { - 1 } ( \Omega F )$ ; confidence 0.961
+
222. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c130070146.png ; $k ( C ^ { * } )$ ; confidence 0.992
  
223. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240105.png ; $y$ ; confidence 0.961
+
223. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021850/c0218501.png ; $\tau = \tau ( E )$ ; confidence 0.992
  
224. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a1200507.png ; $f ( . )$ ; confidence 0.961
+
224. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027210/c02721080.png ; $N = \mu / ( n + 1 )$ ; confidence 0.992
  
225. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010670/a01067013.png ; $\tilde { \eta } ( t ) = \eta ( t ) + \zeta ( t )$ ; confidence 0.961
+
225. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120190/d1201904.png ; $C _ { 0 } ^ { \infty } ( \Omega ) \subset L _ { 2 } ( \Omega )$ ; confidence 0.992
  
226. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007029.png ; $f \in C ^ { \alpha } ( [ 0 , T ] ; X )$ ; confidence 0.961
+
226. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130170/d13017013.png ; $0 < \lambda _ { 1 } ( \Omega ) \leq \lambda _ { 2 } ( \Omega ) \leq$ ; confidence 0.992
  
227. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055062.png ; $\phi ^ { \prime \prime } | x = \phi$ ; confidence 0.960
+
227. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032920/d03292035.png ; $s = 0$ ; confidence 0.992
  
228. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021010.png ; $\omega = p d z = p ( z ) d z$ ; confidence 0.960
+
228. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120271.png ; $\infty \in G$ ; confidence 0.992
  
229. 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
+
229. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120050/e12005039.png ; $h ^ { i } ( w ) = g ^ { i } ( w )$ ; confidence 0.992
  
230. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230111.png ; $E ( L )$ ; confidence 0.960
+
230. https://www.encyclopediaofmath.org/legacyimages/g/g110/g110050/g11005015.png ; $\nu < \kappa$ ; confidence 0.992
  
231. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130090/h13009043.png ; $g _ { i } \in A$ ; confidence 0.960
+
231. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043350/g04335015.png ; $\beta = \frac { 1 } { \gamma - 1 }$ ; confidence 0.992
  
232. https://www.encyclopediaofmath.org/legacyimages/x/x120/x120020/x12002033.png ; $D ( R )$ ; confidence 0.960
+
232. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120030/g1200302.png ; $= \sum _ { \nu = 1 } ^ { n } \alpha _ { \nu } f ( x _ { \nu } ) + \sum _ { \mu = 1 } ^ { n + 1 } \beta _ { \mu } f ( \xi _ { \mu } )$ ; confidence 0.992
  
233. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016037.png ; $1$ ; confidence 0.960
+
233. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046470/h046470224.png ; $d \sigma ( y )$ ; confidence 0.992
  
234. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007060.png ; $u ^ { \prime } \in B ( D _ { A } ( \alpha , \infty ) )$ ; confidence 0.960
+
234. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058680/l05868041.png ; $\pi _ { 1 } ( G ) \cong \Gamma ( G ) / \Gamma _ { 0 }$ ; confidence 0.992
  
235. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010161.png ; $k ^ { 2 } ( A )$ ; confidence 0.959
+
235. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059490/l05949079.png ; $x = F ( t ) y$ ; confidence 0.992
  
236. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040052.png ; $\mathfrak { h } \subset \mathfrak { g }$ ; confidence 0.959
+
236. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062570/m06257039.png ; $\xi _ { k } = + 1$ ; confidence 0.992
  
237. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130270/b1302706.png ; $Q ( H ) = B ( H ) / K ( H )$ ; confidence 0.959
+
237. https://www.encyclopediaofmath.org/legacyimages/n/n130/n130030/n13003066.png ; $\operatorname { Re } ( \lambda )$ ; confidence 0.992
  
238. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050730/i05073063.png ; $K \subset H$ ; confidence 0.959
+
238. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067150/n067150173.png ; $x + h \in G$ ; confidence 0.992
  
239. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051000/i05100028.png ; $- \infty < a < + \infty$ ; confidence 0.959
+
239. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070310/o07031053.png ; $N ( n ) \rightarrow \infty$ ; confidence 0.992
  
240. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110150/a11015020.png ; $\beta ( S )$ ; confidence 0.959
+
240. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075260/p07526038.png ; $\pi _ { D } : X \rightarrow F ( D )$ ; confidence 0.992
  
241. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a110220108.png ; $R _ { 1 }$ ; confidence 0.959
+
241. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075780/p07578019.png ; $D \rightarrow \overline { D }$ ; confidence 0.992
  
242. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012042.png ; $( I - A ) ^ { - 1 } v$ ; confidence 0.959
+
242. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080680/r08068055.png ; $x ( t ) \in D ^ { c }$ ; confidence 0.992
  
243. 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
+
243. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081260/r08126015.png ; $M _ { \gamma _ { i } } M _ { \gamma _ { j } }$ ; confidence 0.992
  
244. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040148.png ; $\square \psi \rightarrow \varphi \in T$ ; confidence 0.958
+
244. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085140/s0851406.png ; $\theta \in \Theta _ { 0 } \subseteq \Theta$ ; confidence 0.992
  
245. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005054.png ; $u _ { 0 } \in \overline { D ( A ( 0 ) ) }$ ; confidence 0.958
+
245. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086620/s08662027.png ; $\Sigma ( \Sigma ^ { n } X ) \rightarrow \Sigma ^ { n + 1 } X$ ; confidence 0.992
  
246. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001095.png ; $\operatorname { dim } ( S ) = 4 n + 3$ ; confidence 0.958
+
246. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086720/s086720108.png ; $V ^ { 3 } = E ^ { 3 }$ ; confidence 0.992
  
247. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240330.png ; $( p \times p _ { 1 } )$ ; confidence 0.958
+
247. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090170/s09017090.png ; $B \in \mathfrak { B } _ { 0 }$ ; confidence 0.992
  
248. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011780/a01178066.png ; $p \in C$ ; confidence 0.958
+
248. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096380/v096380113.png ; $\pi ^ { \prime } \oplus \theta ^ { \prime }$ ; confidence 0.992
  
249. 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
+
249. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097710/w09771091.png ; $\alpha _ { i } ( x ) = 0$ ; confidence 0.992
  
250. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023094.png ; $\sigma ^ { k } : M \rightarrow E ^ { k }$ ; confidence 0.958
+
250. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w12009012.png ; $E = K ^ { x }$ ; confidence 0.992
  
251. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062550/m06255050.png ; $0 \leq w \leq v$ ; confidence 0.958
+
251. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450201.png ; $x = \phi ( z )$ ; confidence 0.992
  
252. https://www.encyclopediaofmath.org/legacyimages/o/o110/o110030/o11003037.png ; $K _ { \omega }$ ; confidence 0.958
+
252. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004038.png ; $\Gamma \subset T$ ; confidence 0.992
  
253. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073270/p07327037.png ; $q ^ { ( n ) } = d ^ { n } q / d x ^ { n }$ ; confidence 0.958
+
253. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021040/c021040114.png ; $\alpha , \beta \in F$ ; confidence 0.992
  
254. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074160/p07416055.png ; $\rho = | y |$ ; confidence 0.958
+
254. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a01130032.png ; $( \epsilon t _ { i } = 1 )$ ; confidence 0.992
  
255. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086810/s086810108.png ; $W _ { p } ^ { m } ( I ^ { d } )$ ; confidence 0.958
+
255. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040231.png ; $E ( \Gamma , \Delta ) = \{ \epsilon _ { i } ( \gamma , \delta ) : \gamma \approx \delta \in \Gamma \approx \Delta , i \in I \}$ ; confidence 0.992
  
256. https://www.encyclopediaofmath.org/legacyimages/x/x120/x120010/x12001022.png ; $\sigma \in \operatorname { Aut } ( R )$ ; confidence 0.958
+
256. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010203.png ; $\| T \| _ { 2 } = \| T ^ { - 1 } \| _ { 2 } = 1$ ; confidence 0.992
  
257. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040742.png ; $\square$ ; confidence 0.958
+
257. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077630/r07763027.png ; $P _ { \phi } \subset X ( T )$ ; confidence 0.992
  
258. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240365.png ; $( p \times p )$ ; confidence 0.958
+
258. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l05851073.png ; $n ( i , j ) = \alpha _ { j } ( H _ { i } ) = \frac { 2 ( \alpha _ { i } , \alpha _ { j } ) } { ( \alpha _ { j } , \alpha _ { j } ) }$ ; confidence 0.992
  
259. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040248.png ; $m = ( N - k ) / 2$ ; confidence 0.958
+
259. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a130180177.png ; $\square ^ { \alpha } U$ ; confidence 0.992
  
260. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a01165079.png ; $H$ ; confidence 0.957
+
260. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028023.png ; $\chi ( G ; k )$ ; confidence 0.992
  
261. 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
+
261. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010760/a01076027.png ; $d J ( t ) / d t = O ( \epsilon ^ { 2 } )$ ; confidence 0.992
  
262. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023110/c023110101.png ; $Z G$ ; confidence 0.957
+
262. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a130070108.png ; $\alpha \geq 2$ ; confidence 0.992
  
263. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026250/c0262508.png ; $( f _ { 1 } + f _ { 2 } ) ( x ) = f _ { 1 } ( x ) + f _ { 2 } ( x )$ ; confidence 0.957
+
263. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120103.png ; $( n - p )$ ; confidence 0.992
  
264. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033530/d033530372.png ; $d _ { n } \ll p _ { n } ^ { \theta }$ ; confidence 0.957
+
264. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n0669005.png ; $C ^ { 1 }$ ; confidence 0.992
  
265. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f1202105.png ; $| z | < r$ ; confidence 0.957
+
265. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110170/a11017031.png ; $[ f ( X ) ] \equiv f ^ { + } ( X ) - f ^ { - } ( X )$ ; confidence 0.992
  
266. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110220/m11022016.png ; $\lambda ^ { * } \in R ^ { m }$ ; confidence 0.957
+
266. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820187.png ; $[ p ] ( X ) = 0$ ; confidence 0.992
  
267. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072430/p0724307.png ; $\epsilon \ll 1$ ; confidence 0.957
+
267. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d03183021.png ; $\tau = \operatorname { deg } \omega _ { V }$ ; confidence 0.992
  
268. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090760/s09076026.png ; $L _ { 0 } ^ { * } = L _ { 1 }$ ; confidence 0.957
+
268. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081030/r081030109.png ; $\alpha \in \Delta ( \gamma ) \cap O _ { \gamma }$ ; confidence 0.992
  
269. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130050/v130050114.png ; $1 _ { n } ( w ) = 0$ ; confidence 0.957
+
269. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054270/j05427042.png ; $H ( C _ { 3 } , J _ { 1 } )$ ; confidence 0.992
  
270. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a130070104.png ; $\sigma ^ { * } ( n ) > \alpha n$ ; confidence 0.957
+
270. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008071.png ; $f \in L ^ { 2 } ( [ 0 , T ] ; L ^ { 2 } ( \Omega ) )$ ; confidence 0.992
  
271. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a120070112.png ; $L ( x , t , D _ { x } )$ ; confidence 0.956
+
271. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110380/a110380143.png ; $K ( P , 3 = \operatorname { log } _ { 2 } 8 )$ ; confidence 0.992
  
272. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009092.png ; $f \in B ( m / n )$ ; confidence 0.956
+
272. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081033.png ; $L ^ { * } ( \psi ) \equiv - \dot { \psi } + A ^ { * } ( t ) \psi = 0 , \quad t \in I$ ; confidence 0.992
  
273. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017800/b01780036.png ; $d \geq n$ ; confidence 0.956
+
273. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007092.png ; $- A ( s ) ( \lambda - A ( s ) ) ^ { - 1 } \frac { d A ( s ) ^ { - 1 } } { d s } \| \leq$ ; confidence 0.992
  
274. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031850/d03185095.png ; $x \neq \pm 1$ ; confidence 0.956
+
274. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130530/s130530120.png ; $B N$ ; confidence 0.992
  
275. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120130/f12013083.png ; $| \Phi ( G )$ ; confidence 0.956
+
275. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a01160019.png ; $D \neq 1$ ; confidence 0.992
  
276. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003048.png ; $I _ { U } = \{ ( u _ { \lambda } ) _ { \lambda \in \Lambda }$ ; confidence 0.956
+
276. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s0855907.png ; $f _ { \zeta } = f _ { \zeta } ( z ) = \sum _ { k = 0 } ^ { \infty } c _ { k } ( z - \zeta ) ^ { k }$ ; confidence 0.992
  
277. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048390/h04839015.png ; $U ^ { ( 2 ) }$ ; confidence 0.956
+
277. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b13030050.png ; $f ( m , n )$ ; confidence 0.992
  
278. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110020/l11002085.png ; $x \preceq y$ ; confidence 0.956
+
278. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010128.png ; $A x - b = ( A A ^ { + } - I ) b = 0$ ; confidence 0.992
  
279. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130100/r13010034.png ; $D _ { n }$ ; confidence 0.956
+
279. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052350/i05235025.png ; $\Delta = 3 b ^ { 2 } c ^ { 2 } + 6 a b c d - 4 b ^ { 3 } d - 4 a c ^ { 3 } - a ^ { 2 } d ^ { 2 }$ ; confidence 0.992
  
280. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087110/s08711028.png ; $\delta < \alpha$ ; confidence 0.956
+
280. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011390/a01139025.png ; $M ( G )$ ; confidence 0.992
  
281. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110210.png ; $G = G ^ { \sigma }$ ; confidence 0.956
+
281. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a01417072.png ; $| \phi ( x ) | \geq | \phi ( x _ { 0 } ) |$ ; confidence 0.992
  
282. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040100.png ; $( - 1 ) _ { A } ^ { * } \Theta \simeq \Theta$ ; confidence 0.956
+
282. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210140.png ; $R ( z , w )$ ; confidence 0.991
  
283. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010016.png ; $S ( t ) x = e ^ { - t A _ { x } }$ ; confidence 0.956
+
283. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002035.png ; $\varphi ( D ) = D g$ ; confidence 0.991
  
284. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004019.png ; $\operatorname { deg } \phi _ { L } = d ^ { 2 }$ ; confidence 0.956
+
284. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014061.png ; $( v _ { i } \times v _ { j } )$ ; confidence 0.991
  
285. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010297.png ; $F ( A ) = e ^ { A }$ ; confidence 0.956
+
285. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004018.png ; $h ^ { 0 } ( A , L ) \neq 0$ ; confidence 0.991
  
286. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a0102205.png ; $p \geq 1$ ; confidence 0.956
+
286. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012022.png ; $0 < \rho < \infty$ ; confidence 0.991
  
287. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110370/a1103701.png ; $X = \{ X ( t ) : t \in R + \}$ ; confidence 0.955
+
287. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240361.png ; $H : \Theta = 0$ ; confidence 0.991
  
288. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030790/d0307909.png ; $\lambda ^ { m }$ ; confidence 0.955
+
288. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010760/a01076031.png ; $t \rightarrow \pm \infty$ ; confidence 0.991
  
289. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038470/f03847048.png ; $\tau _ { 0 } = 0$ ; confidence 0.955
+
289. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004052.png ; $\lambda = [ L$ ; confidence 0.991
  
290. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044770/g04477022.png ; $[ \Psi / \Phi ] \Phi$ ; confidence 0.955
+
290. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010039.png ; $g = 1 , x , x ^ { 2 }$ ; confidence 0.991
  
291. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h046420157.png ; $d g = d h d k$ ; confidence 0.955
+
291. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047700/h04770012.png ; $\psi : G / H \rightarrow X$ ; confidence 0.991
  
292. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110020/i11002068.png ; $( \lambda \odot \mu ) \odot v = \lambda \odot ( \mu \odot v )$ ; confidence 0.955
+
292. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010132.png ; $( A + \epsilon A _ { 1 } ) ^ { + }$ ; confidence 0.991
  
293. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q07631081.png ; $H _ { i } \in \mathfrak { g }$ ; confidence 0.955
+
293. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052350/i05235028.png ; $f ( x , y ) = a x ^ { 3 } + 3 b x ^ { 2 } y + 3 c x y ^ { 2 } + d y ^ { 3 }$ ; confidence 0.991
  
294. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010192.png ; $T ^ { - 1 } A T = \Lambda$ ; confidence 0.955
+
294. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559024.png ; $L _ { 1 } : z = \phi _ { 1 } ( t )$ ; confidence 0.991
  
295. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010640/a01064021.png ; $\sigma _ { 0 } ( m )$ ; confidence 0.954
+
295. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001036.png ; $\| \delta A \| \leq \epsilon \| A \|$ ; confidence 0.991
  
296. 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/i052/i052350/i05235059.png ; $t _ { i } = \phi _ { i }$ ; confidence 0.991
  
297. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018024.png ; $\sigma > \sigma 0$ ; confidence 0.954
+
297. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l05859071.png ; $z ( s ) = x ( \sqrt { s } ) y ( \sqrt { s } ) x ( \sqrt { s } ) ^ { - 1 } y ( \sqrt { s } ) ^ { - 1 }$ ; confidence 0.991
  
298. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110490/a1104901.png ; $D = d / d t$ ; confidence 0.954
+
298. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a11022049.png ; $( L , P )$ ; confidence 0.991
  
299. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110200/c11020072.png ; $\lambda \in \Lambda$ ; confidence 0.954
+
299. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010760/a01076023.png ; $d J ( t ) / d t$ ; confidence 0.991
  
300. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032240/d03224071.png ; $d \omega = d \square ^ { * } \omega = 0$ ; confidence 0.954
+
300. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082089.png ; $\operatorname { dim } F = n$ ; confidence 0.991

Latest revision as of 09:58, 17 October 2019

List

1. q076310139.png ; $R T _ { 1 } T _ { 2 } = T _ { 2 } T _ { 1 } R$ ; confidence 0.994

2. k05557085.png ; $D ( k )$ ; confidence 0.994

3. a110010175.png ; $\delta A ^ { + } = - B B ^ { T } R$ ; confidence 0.994

4. h04655016.png ; $\{ U _ { i } \} _ { i \in I }$ ; confidence 0.994

5. a01099023.png ; $r = r ( t )$ ; confidence 0.994

6. t120010130.png ; $b _ { 2 } \neq b _ { 6 }$ ; confidence 0.994

7. a110420162.png ; $\theta = \theta ^ { \prime }$ ; confidence 0.994

8. a110420137.png ; $\tau \mapsto K _ { 0 } ( \tau )$ ; confidence 0.994

9. a011370171.png ; $f ( \psi ( z ) )$ ; confidence 0.994

10. a01298030.png ; $\phi _ { k } ( t _ { k } ) = 1$ ; confidence 0.994

11. b1101309.png ; $E _ { 2 }$ ; confidence 0.994

12. b01539051.png ; $L _ { 11 } < L _ { 12 }$ ; confidence 0.994

13. b016960175.png ; $M _ { 1 } \cup M _ { 2 }$ ; confidence 0.994

14. c02482046.png ; $\leq ( n + 1 ) ( n + 2 ) / 2$ ; confidence 0.994

15. d03236035.png ; $\frac { \partial u } { \partial t } + u \frac { \partial u } { \partial x } = D \frac { \partial ^ { 2 } u } { \partial x ^ { 2 } }$ ; confidence 0.994

16. d032450146.png ; $\operatorname { dim } X \times Y < \operatorname { dim } X + \operatorname { dim } Y$ ; confidence 0.994

17. d12018028.png ; $H ^ { p } ( d \theta / 2 \pi )$ ; confidence 0.994

18. e035250110.png ; $f = u _ { 1 } + i u _ { 2 }$ ; confidence 0.994

19. e03624043.png ; $\sigma \approx s$ ; confidence 0.994

20. e03640033.png ; $2 - m - 1$ ; confidence 0.994

21. e03682038.png ; $\tau \geq \zeta$ ; confidence 0.994

22. e037200118.png ; $\gamma \geq 0$ ; confidence 0.994

23. g043020138.png ; $\pi : P \rightarrow G \backslash P$ ; confidence 0.994

24. g043780157.png ; $T \xi$ ; confidence 0.994

25. g04484023.png ; $B \rightarrow b B$ ; confidence 0.994

26. i052860119.png ; $( = 2 / \pi )$ ; confidence 0.994

27. i05304033.png ; $F _ { 0 }$ ; confidence 0.994

28. j13007082.png ; $\phi _ { \omega } ( F ( z ) ) \leq \phi _ { \omega } ( z )$ ; confidence 0.994

29. k05548037.png ; $R \phi / 6$ ; confidence 0.994

30. l0572001.png ; $T + V = h$ ; confidence 0.994

31. l05861031.png ; $Z \times T$ ; confidence 0.994

32. m12021026.png ; $\lambda K + t$ ; confidence 0.994

33. n06636034.png ; $\{ x _ { \alpha } \} _ { \alpha \in \Sigma }$ ; confidence 0.994

34. n06644040.png ; $\sum _ { n = 0 } ^ { \infty } A ^ { n } f$ ; confidence 0.994

35. n06784093.png ; $A \in L _ { \infty } ( H )$ ; confidence 0.994

36. o070310119.png ; $A \perp A ^ { T }$ ; confidence 0.994

37. p07288011.png ; $\{ z _ { k } \} \subset \Delta$ ; confidence 0.994

38. p07293055.png ; $\sigma _ { 2 n } = 2 \pi ^ { n } / ( n - 1 ) !$ ; confidence 0.994

39. p0733402.png ; $X ( t _ { 2 } ) - X ( t _ { 1 } )$ ; confidence 0.994

40. p07393024.png ; $A / N _ { f }$ ; confidence 0.994

41. p07472076.png ; $\gamma \in G$ ; confidence 0.994

42. p0753601.png ; $X = \operatorname { Proj } ( R )$ ; confidence 0.994

43. r082290135.png ; $U : E \rightarrow M$ ; confidence 0.994

44. s08530020.png ; $c b = c$ ; confidence 0.994

45. s09157097.png ; $T ^ { * } Y \backslash 0$ ; confidence 0.994

46. t093150169.png ; $F \in \gamma$ ; confidence 0.994

47. a12012058.png ; $( x , y )$ ; confidence 0.994

48. a01081055.png ; $U _ { k }$ ; confidence 0.994

49. a01130039.png ; $\gamma _ { \mu } : G ( k ) \rightarrow J ^ { \mu }$ ; confidence 0.994

50. a01138048.png ; $x \& x = 0$ ; confidence 0.994

51. a1104409.png ; $A \vee B = A \wedge B = \emptyset$ ; confidence 0.994

52. a1300709.png ; $45045 = 5.79 .11 .13$ ; confidence 0.994

53. a11004094.png ; $( E L ) = 2$ ; confidence 0.994

54. a01139013.png ; $L _ { 1 } ( G )$ ; confidence 0.994

55. d034120234.png ; $\alpha : H ^ { p } ( X , F ) \rightarrow H ^ { p } ( Y , F )$ ; confidence 0.994

56. h04797046.png ; $U ( P _ { A } )$ ; confidence 0.994

57. a01067022.png ; $d y = h ( x , t ) d t + d v$ ; confidence 0.994

58. k1200308.png ; $\operatorname { Ric } ( \omega ) = - \omega$ ; confidence 0.994

59. a01149065.png ; $x ^ { \prime } \neq x 0$ ; confidence 0.994

60. a12011036.png ; $\alpha ( m , n ) \leq 3$ ; confidence 0.994

61. q07631019.png ; $( A , \Delta , \epsilon , S )$ ; confidence 0.994

62. a130240380.png ; $( p , n - r - p + 1 )$ ; confidence 0.994

63. a120070120.png ; $u ( v )$ ; confidence 0.994

64. a01064016.png ; $k _ { 2 } = 3$ ; confidence 0.994

65. a01068044.png ; $\{ m \}$ ; confidence 0.994

66. a01110030.png ; $A ( L )$ ; confidence 0.994

67. a01052040.png ; $A _ { M }$ ; confidence 0.994

68. t13014030.png ; $\phi _ { \beta } : X _ { i } \rightarrow X _ { j }$ ; confidence 0.994

69. h047410106.png ; $N _ { K / k } ( \beta )$ ; confidence 0.994

70. h047410131.png ; $F = F ( x , y , \dot { x } , \dot { y } )$ ; confidence 0.994

71. a01082057.png ; $\epsilon : X \rightarrow G ( Y )$ ; confidence 0.994

72. g1101103.png ; $\mathfrak { g } = \mathfrak { k } + \mathfrak { p }$ ; confidence 0.994

73. a120070122.png ; $A ( t , v )$ ; confidence 0.994

74. l11012076.png ; $i \geq 2$ ; confidence 0.994

75. a011640106.png ; $p _ { 12 } = 1$ ; confidence 0.994

76. a01055017.png ; $\{ \phi _ { g } ( x _ { 0 } ) \} _ { g \in G }$ ; confidence 0.994

77. a01130085.png ; $m - i < 1$ ; confidence 0.994

78. a13006034.png ; $A _ { K }$ ; confidence 0.994

79. l058590192.png ; $f ^ { - 1 } ( u ) f ^ { - 1 } ( v ) = f ^ { - 1 } ( u v )$ ; confidence 0.994

80. c02057061.png ; $\overline { \partial } g = 0$ ; confidence 0.994

81. a11007035.png ; $2 n \geq p$ ; confidence 0.994

82. a130050235.png ; $A _ { G } > 0$ ; confidence 0.994

83. a11001048.png ; $t - p$ ; confidence 0.994

84. a120310111.png ; $M ( C ( S ) , \alpha , G )$ ; confidence 0.994

85. s08590024.png ; $\| \partial F _ { i } / \partial X _ { j } ( x ) \|$ ; confidence 0.994

86. r08103035.png ; $W _ { k } ( S _ { i } , G )$ ; confidence 0.993

87. b01539019.png ; $\rho ( \pi , \delta ) = \int _ { \Theta } \rho ( \theta , \delta ) \pi ( d \theta )$ ; confidence 0.993

88. a11041068.png ; $\tau = u / v$ ; confidence 0.993

89. a11049038.png ; $D ( x y ) = x D y + y D x$ ; confidence 0.993

90. d03289090.png ; $\Lambda ( n )$ ; confidence 0.993

91. a01076011.png ; $d I ( t ) / d t$ ; confidence 0.993

92. a011490137.png ; $y = y ( t ) , \quad x = x ( t )$ ; confidence 0.993

93. a01148089.png ; $n = 5$ ; confidence 0.993

94. a130060124.png ; $F$ ; confidence 0.993

95. a12012029.png ; $\mu _ { i } > 0$ ; confidence 0.993

96. a12018081.png ; $\operatorname { ln } ( 1 + t ) = t - t ^ { 2 } / 2 + t ^ { 3 } / 3 -$ ; confidence 0.993

97. a0102007.png ; $A + B$ ; confidence 0.993

98. a01145091.png ; $l ( K - D ) = 0$ ; confidence 0.993

99. a11037027.png ; $X _ { 2 } ( t ) = \sum _ { t _ { k } \leq t } X _ { k } ^ { - } + \sum _ { t _ { k } < t } X _ { k } ^ { + } , \quad t \geq 0$ ; confidence 0.993

100. d034120277.png ; $O ^ { F }$ ; confidence 0.993

101. a130240179.png ; $\eta _ { i j } = \mu + \alpha _ { i } + \beta _ { j } + \gamma _ { i j }$ ; confidence 0.993

102. a13008046.png ; $- \frac { d } { d s } \operatorname { ln } \alpha ( s ) = - \frac { d } { d L } \operatorname { ln } \frac { f ( L ) } { g ( L ; m , s ) } \frac { d L } { d s } +$ ; confidence 0.993

103. d03183090.png ; $p = p _ { F } ( B )$ ; confidence 0.993

104. d034120192.png ; $H ^ { p } ( X , O _ { X } ( D ) )$ ; confidence 0.993

105. d031830255.png ; $\partial _ { i } : R \rightarrow R$ ; confidence 0.993

106. a110040155.png ; $J ( C )$ ; confidence 0.993

107. a120050115.png ; $\frac { \partial } { \partial s } U ( t , s ) v = U ( t , s ) A ( s ) v$ ; confidence 0.993

108. h047690122.png ; $n = 4 k - 1$ ; confidence 0.993

109. a011490107.png ; $P _ { k } ( x ) y$ ; confidence 0.993

110. a130060112.png ; $\alpha > 1$ ; confidence 0.993

111. a01029033.png ; $A \cap A ^ { \prime }$ ; confidence 0.993

112. l05866035.png ; $G$ ; confidence 0.993

113. c02305015.png ; $( n - p - 1 )$ ; confidence 0.993

114. a011650172.png ; $\theta \subseteq A \times A$ ; confidence 0.993

115. a01033018.png ; $0 < r ^ { \prime } \leq r$ ; confidence 0.993

116. a110420153.png ; $K _ { 0 } ( B ) ^ { + }$ ; confidence 0.993

117. a110420108.png ; $\tau ( x y ) = \tau ( y x )$ ; confidence 0.993

118. a11042070.png ; $K _ { 0 } ( \varphi ) = \alpha$ ; confidence 0.993

119. a11042085.png ; $x _ { i } \leq y _ { j }$ ; confidence 0.993

120. a13013055.png ; $L ( \Lambda _ { 0 } )$ ; confidence 0.993

121. a130240286.png ; $1 - \alpha$ ; confidence 0.993

122. a011650412.png ; $A _ { \alpha } \subseteq A$ ; confidence 0.993

123. a1202303.png ; $f \in C ( \partial D )$ ; confidence 0.993

124. b01617015.png ; $F _ { n } ( z _ { 0 } ) = 0$ ; confidence 0.993

125. b017340100.png ; $n ^ { \prime } = - n + m - 1$ ; confidence 0.993

126. b01747076.png ; $1 \rightarrow K ( n ) \rightarrow B ( n ) \rightarrow S ( n ) \rightarrow 1$ ; confidence 0.993

127. b130290203.png ; $0 \leq i \leq d - 1$ ; confidence 0.993

128. c020540177.png ; $\epsilon ( \sigma ) = 1$ ; confidence 0.993

129. c12007011.png ; $1 \leq i \leq n - 1$ ; confidence 0.993

130. c026010556.png ; $d y _ { t } = h ( x _ { t } ) d t + d w _ { t } ^ { 0 }$ ; confidence 0.993

131. d03399034.png ; $y ^ { \prime } ( b ) + \psi y ( b ) = \beta$ ; confidence 0.993

132. e0351605.png ; $L ( u ) + \lambda u = 0$ ; confidence 0.993

133. e11007067.png ; $y ^ { 2 } = R ( x )$ ; confidence 0.993

134. e03555010.png ; $X _ { t } = m F$ ; confidence 0.993

135. f04127048.png ; $D ( B ) \supset D ( A )$ ; confidence 0.993

136. f04207074.png ; $T _ { N } ( t )$ ; confidence 0.993

137. h12003026.png ; $\operatorname { dim } M = 2$ ; confidence 0.993

138. h12012026.png ; $f \phi = 0$ ; confidence 0.993

139. k05594036.png ; $\eta ( \epsilon ) \rightarrow 0$ ; confidence 0.993

140. l05883068.png ; $- \Delta u + c u$ ; confidence 0.993

141. l059350126.png ; $\dot { y } = - A ^ { T } ( t ) y$ ; confidence 0.993

142. m063460176.png ; $\psi _ { z } \neq 0$ ; confidence 0.993

143. n06761056.png ; $( d \nu ) ( x _ { i } ) ( T _ { i } )$ ; confidence 0.993

144. o11007085.png ; $K _ { 10 }$ ; confidence 0.993

145. o0702405.png ; $d W ( t ) / d t = W ^ { \prime } ( t )$ ; confidence 0.993

146. p07535038.png ; $d ( S )$ ; confidence 0.993

147. r082200148.png ; $V ^ { \prime } = V ^ { \prime \prime } = R ^ { \prime } \cup R ^ { \prime \prime }$ ; confidence 0.993

148. r0826403.png ; $A _ { k } = U _ { k } ^ { * } A _ { k - 1 } U _ { k }$ ; confidence 0.993

149. s08559026.png ; $0 < \tau _ { 1 } \leq 1$ ; confidence 0.993

150. s08746026.png ; $\{ \epsilon _ { t } \}$ ; confidence 0.993

151. s08764060.png ; $I = \{ f \in O ( X ) : f ( x ) = 0 \}$ ; confidence 0.993

152. t09367039.png ; $\operatorname { lim } _ { \epsilon \rightarrow 0 } d ( E _ { \epsilon } ) = d ( E )$ ; confidence 0.993

153. t0937107.png ; $x = f ( \alpha )$ ; confidence 0.993

154. t09466020.png ; $\phi ( z ) = \frac { 1 - z ^ { 2 } } { z } f ( z ) \in C$ ; confidence 0.993

155. w120090399.png ; $L ( \mu )$ ; confidence 0.993

156. w12021059.png ; $B _ { m } = R$ ; confidence 0.993

157. a11015018.png ; $F ( t ) = 1 - \operatorname { exp } [ - ( \frac { t } { \tau } ) ^ { \beta } ] , \quad t \geq 0$ ; confidence 0.993

158. f040820115.png ; $f ^ { - 1 } ( f ( Z ) ) = Z$ ; confidence 0.993

159. a12031051.png ; $\{ x \in X : f ( x ) \neq 0 \}$ ; confidence 0.993

160. a12008075.png ; $f \in H ^ { 1 } ( [ 0 , T ] ; L ^ { 2 } ( \Omega ) )$ ; confidence 0.993

161. a12005094.png ; $t )$ ; confidence 0.993

162. d03311035.png ; $i > j$ ; confidence 0.993

163. a01160057.png ; $r = r _ { 1 } + r _ { 2 } - 1$ ; confidence 0.993

164. a01076016.png ; $p , q$ ; confidence 0.993

165. a120050108.png ; $L ( Y ) = L ( Y , Y )$ ; confidence 0.993

166. d034120564.png ; $f _ { i } ( x ) \leq y _ { i }$ ; confidence 0.993

167. a12017022.png ; $\operatorname { lim } _ { t \rightarrow + \infty } \Omega ( t ) = 0$ ; confidence 0.993

168. a110010205.png ; $z \neq 0$ ; confidence 0.993

169. a0116402.png ; $f ( x _ { 0 } , x _ { 1 } , x _ { 2 } , x _ { 3 } ) = 0$ ; confidence 0.993

170. a11022082.png ; $j \geq 1$ ; confidence 0.993

171. a130040753.png ; $( \Sigma ( P , R ) )$ ; confidence 0.993

172. a01018043.png ; $\phi ( s ) = B \frac { ( - 1 ) ^ { - \alpha } } { ( - \alpha - 1 ) ! } s ( s - s _ { 1 } ) ^ { - \alpha - 1 } \operatorname { ln } ( s - s _ { 1 } ) + g ( s )$ ; confidence 0.993

173. a11017022.png ; $\Omega _ { 0 } ^ { + }$ ; confidence 0.993

174. r07764041.png ; $x ^ { n + 1 } + y ^ { 2 } + z ^ { 2 }$ ; confidence 0.993

175. a120070118.png ; $\frac { d u } { d t } = A ( t , u ) u + f ( t , u )$ ; confidence 0.993

176. b13030093.png ; $i \geq 1$ ; confidence 0.993

177. t130140127.png ; $q _ { R } ( v ) > 0$ ; confidence 0.993

178. a12005062.png ; $t \in ( 0 , T ]$ ; confidence 0.993

179. a12010058.png ; $A = - \Delta$ ; confidence 0.993

180. a01081097.png ; $L ( x ) \equiv \dot { x } + A ( t ) x = 0 , \quad U ( x ) = 0 , \quad t \in \Delta$ ; confidence 0.993

181. a01068025.png ; $r ( n )$ ; confidence 0.993

182. a01146023.png ; $( 2 p - q , q )$ ; confidence 0.993

183. a130050279.png ; $G ^ { \# } ( n )$ ; confidence 0.993

184. b120040161.png ; $\epsilon = 0$ ; confidence 0.993

185. d034120282.png ; $G \in O ^ { F }$ ; confidence 0.993

186. a01150069.png ; $p = 0$ ; confidence 0.992

187. p07267028.png ; $k ( k ) = \operatorname { Pic } ( X )$ ; confidence 0.992

188. a01052046.png ; $A _ { k } ^ { 2 } = A _ { 2 k - 1 } ^ { 1 } + A _ { 2 k } ^ { 1 }$ ; confidence 0.992

189. a01046056.png ; $f ( x + h ) = \sum _ { n = 0 } ^ { \infty } \frac { 1 } { n ! } \delta ^ { n } f ( x , h )$ ; confidence 0.992

190. a01029037.png ; $D _ { A }$ ; confidence 0.992

191. a0110806.png ; $r = r ( s )$ ; confidence 0.992

192. a120050117.png ; $f \in C ( [ 0 , T ] ; X ) \cap L ^ { 1 } ( 0 , T ; Y )$ ; confidence 0.992

193. b1202001.png ; $H ^ { 2 }$ ; confidence 0.992

194. b0153908.png ; $L ( \theta , d )$ ; confidence 0.992

195. d034120398.png ; $y \in G$ ; confidence 0.992

196. a12006010.png ; $L ( R ^ { p } )$ ; confidence 0.992

197. a13012045.png ; $A G ( d , q )$ ; confidence 0.992

198. a01095019.png ; $t \rightarrow 0$ ; confidence 0.992

199. a01417032.png ; $M = H$ ; confidence 0.992

200. a01149046.png ; $f _ { 0 } ^ { j } ( x ) = y _ { 0 } ^ { j } + \alpha _ { 1 } ^ { j } ( x - x _ { 0 } ) + \alpha _ { 2 } ^ { j } ( x - x _ { 0 } ) ^ { 2 } +$ ; confidence 0.992

201. a01046058.png ; $= \frac { 1 } { 2 \pi i } \int _ { | \xi | = 1 } f ( x + \xi h ) \xi ^ { - n - 1 } d \xi$ ; confidence 0.992

202. l05861062.png ; $\operatorname { pin } ( n )$ ; confidence 0.992

203. a110010292.png ; $| F ( A ) - G ( A ) \| \leq$ ; confidence 0.992

204. a01024076.png ; $P _ { 1 } , P _ { 2 } , P _ { 3 } , P _ { 4 }$ ; confidence 0.992

205. a01145058.png ; $g = \frac { ( m - 1 ) ( m - 2 ) } { 2 } - d$ ; confidence 0.992

206. a120050128.png ; $D ( S ) = Y$ ; confidence 0.992

207. a01080017.png ; $\nabla \Rightarrow \Gamma _ { i j } ^ { k }$ ; confidence 0.992

208. a1103307.png ; $N = \operatorname { card } ( U _ { n } )$ ; confidence 0.992

209. m0655709.png ; $f ( v ) \neq 0$ ; confidence 0.992

210. a11035017.png ; $\psi _ { \mu } ( t )$ ; confidence 0.992

211. a13001016.png ; $B ^ { A } \cong ( A ^ { * } \otimes B )$ ; confidence 0.992

212. a12010079.png ; $( I + \lambda A )$ ; confidence 0.992

213. a01064015.png ; $k _ { 1 } = 2$ ; confidence 0.992

214. b01539047.png ; $\pi _ { 1 } + \pi _ { 2 } = 1$ ; confidence 0.992

215. b12009080.png ; $| f ( z ) | < 1$ ; confidence 0.992

216. b11057039.png ; $H _ { k } \circ \operatorname { exp } ( X _ { F } ) = \operatorname { exp } ( X _ { F } ) ( H _ { k } )$ ; confidence 0.992

217. b13017045.png ; $S _ { T }$ ; confidence 0.992

218. b01681021.png ; $H = \sum _ { i } \frac { p _ { i } ^ { 2 } } { 2 m } + \sum _ { i } U ( r _ { i } )$ ; confidence 0.992

219. b130200102.png ; $\beta \neq - \alpha$ ; confidence 0.992

220. b01735056.png ; $K ^ { + }$ ; confidence 0.992

221. c02160021.png ; $A$ ; confidence 0.992

222. c130070146.png ; $k ( C ^ { * } )$ ; confidence 0.992

223. c0218501.png ; $\tau = \tau ( E )$ ; confidence 0.992

224. c02721080.png ; $N = \mu / ( n + 1 )$ ; confidence 0.992

225. d1201904.png ; $C _ { 0 } ^ { \infty } ( \Omega ) \subset L _ { 2 } ( \Omega )$ ; confidence 0.992

226. d13017013.png ; $0 < \lambda _ { 1 } ( \Omega ) \leq \lambda _ { 2 } ( \Omega ) \leq$ ; confidence 0.992

227. d03292035.png ; $s = 0$ ; confidence 0.992

228. d034120271.png ; $\infty \in G$ ; confidence 0.992

229. e12005039.png ; $h ^ { i } ( w ) = g ^ { i } ( w )$ ; confidence 0.992

230. g11005015.png ; $\nu < \kappa$ ; confidence 0.992

231. g04335015.png ; $\beta = \frac { 1 } { \gamma - 1 }$ ; confidence 0.992

232. g1200302.png ; $= \sum _ { \nu = 1 } ^ { n } \alpha _ { \nu } f ( x _ { \nu } ) + \sum _ { \mu = 1 } ^ { n + 1 } \beta _ { \mu } f ( \xi _ { \mu } )$ ; confidence 0.992

233. h046470224.png ; $d \sigma ( y )$ ; confidence 0.992

234. l05868041.png ; $\pi _ { 1 } ( G ) \cong \Gamma ( G ) / \Gamma _ { 0 }$ ; confidence 0.992

235. l05949079.png ; $x = F ( t ) y$ ; confidence 0.992

236. m06257039.png ; $\xi _ { k } = + 1$ ; confidence 0.992

237. n13003066.png ; $\operatorname { Re } ( \lambda )$ ; confidence 0.992

238. n067150173.png ; $x + h \in G$ ; confidence 0.992

239. o07031053.png ; $N ( n ) \rightarrow \infty$ ; confidence 0.992

240. p07526038.png ; $\pi _ { D } : X \rightarrow F ( D )$ ; confidence 0.992

241. p07578019.png ; $D \rightarrow \overline { D }$ ; confidence 0.992

242. r08068055.png ; $x ( t ) \in D ^ { c }$ ; confidence 0.992

243. r08126015.png ; $M _ { \gamma _ { i } } M _ { \gamma _ { j } }$ ; confidence 0.992

244. s0851406.png ; $\theta \in \Theta _ { 0 } \subseteq \Theta$ ; confidence 0.992

245. s08662027.png ; $\Sigma ( \Sigma ^ { n } X ) \rightarrow \Sigma ^ { n + 1 } X$ ; confidence 0.992

246. s086720108.png ; $V ^ { 3 } = E ^ { 3 }$ ; confidence 0.992

247. s09017090.png ; $B \in \mathfrak { B } _ { 0 }$ ; confidence 0.992

248. v096380113.png ; $\pi ^ { \prime } \oplus \theta ^ { \prime }$ ; confidence 0.992

249. w09771091.png ; $\alpha _ { i } ( x ) = 0$ ; confidence 0.992

250. w12009012.png ; $E = K ^ { x }$ ; confidence 0.992

251. a011450201.png ; $x = \phi ( z )$ ; confidence 0.992

252. a13004038.png ; $\Gamma \subset T$ ; confidence 0.992

253. c021040114.png ; $\alpha , \beta \in F$ ; confidence 0.992

254. a01130032.png ; $( \epsilon t _ { i } = 1 )$ ; confidence 0.992

255. a130040231.png ; $E ( \Gamma , \Delta ) = \{ \epsilon _ { i } ( \gamma , \delta ) : \gamma \approx \delta \in \Gamma \approx \Delta , i \in I \}$ ; confidence 0.992

256. a110010203.png ; $\| T \| _ { 2 } = \| T ^ { - 1 } \| _ { 2 } = 1$ ; confidence 0.992

257. r07763027.png ; $P _ { \phi } \subset X ( T )$ ; confidence 0.992

258. l05851073.png ; $n ( i , j ) = \alpha _ { j } ( H _ { i } ) = \frac { 2 ( \alpha _ { i } , \alpha _ { j } ) } { ( \alpha _ { j } , \alpha _ { j } ) }$ ; confidence 0.992

259. a130180177.png ; $\square ^ { \alpha } U$ ; confidence 0.992

260. a11028023.png ; $\chi ( G ; k )$ ; confidence 0.992

261. a01076027.png ; $d J ( t ) / d t = O ( \epsilon ^ { 2 } )$ ; confidence 0.992

262. a130070108.png ; $\alpha \geq 2$ ; confidence 0.992

263. d034120103.png ; $( n - p )$ ; confidence 0.992

264. n0669005.png ; $C ^ { 1 }$ ; confidence 0.992

265. a11017031.png ; $[ f ( X ) ] \equiv f ^ { + } ( X ) - f ^ { - } ( X )$ ; confidence 0.992

266. f040820187.png ; $[ p ] ( X ) = 0$ ; confidence 0.992

267. d03183021.png ; $\tau = \operatorname { deg } \omega _ { V }$ ; confidence 0.992

268. r081030109.png ; $\alpha \in \Delta ( \gamma ) \cap O _ { \gamma }$ ; confidence 0.992

269. j05427042.png ; $H ( C _ { 3 } , J _ { 1 } )$ ; confidence 0.992

270. a12008071.png ; $f \in L ^ { 2 } ( [ 0 , T ] ; L ^ { 2 } ( \Omega ) )$ ; confidence 0.992

271. a110380143.png ; $K ( P , 3 = \operatorname { log } _ { 2 } 8 )$ ; confidence 0.992

272. a01081033.png ; $L ^ { * } ( \psi ) \equiv - \dot { \psi } + A ^ { * } ( t ) \psi = 0 , \quad t \in I$ ; confidence 0.992

273. a12007092.png ; $- A ( s ) ( \lambda - A ( s ) ) ^ { - 1 } \frac { d A ( s ) ^ { - 1 } } { d s } \| \leq$ ; confidence 0.992

274. s130530120.png ; $B N$ ; confidence 0.992

275. a01160019.png ; $D \neq 1$ ; confidence 0.992

276. s0855907.png ; $f _ { \zeta } = f _ { \zeta } ( z ) = \sum _ { k = 0 } ^ { \infty } c _ { k } ( z - \zeta ) ^ { k }$ ; confidence 0.992

277. b13030050.png ; $f ( m , n )$ ; confidence 0.992

278. a110010128.png ; $A x - b = ( A A ^ { + } - I ) b = 0$ ; confidence 0.992

279. i05235025.png ; $\Delta = 3 b ^ { 2 } c ^ { 2 } + 6 a b c d - 4 b ^ { 3 } d - 4 a c ^ { 3 } - a ^ { 2 } d ^ { 2 }$ ; confidence 0.992

280. a01139025.png ; $M ( G )$ ; confidence 0.992

281. a01417072.png ; $| \phi ( x ) | \geq | \phi ( x _ { 0 } ) |$ ; confidence 0.992

282. a010210140.png ; $R ( z , w )$ ; confidence 0.991

283. a11002035.png ; $\varphi ( D ) = D g$ ; confidence 0.991

284. t13014061.png ; $( v _ { i } \times v _ { j } )$ ; confidence 0.991

285. a11004018.png ; $h ^ { 0 } ( A , L ) \neq 0$ ; confidence 0.991

286. a01012022.png ; $0 < \rho < \infty$ ; confidence 0.991

287. a130240361.png ; $H : \Theta = 0$ ; confidence 0.991

288. a01076031.png ; $t \rightarrow \pm \infty$ ; confidence 0.991

289. a11004052.png ; $\lambda = [ L$ ; confidence 0.991

290. a11010039.png ; $g = 1 , x , x ^ { 2 }$ ; confidence 0.991

291. h04770012.png ; $\psi : G / H \rightarrow X$ ; confidence 0.991

292. a110010132.png ; $( A + \epsilon A _ { 1 } ) ^ { + }$ ; confidence 0.991

293. i05235028.png ; $f ( x , y ) = a x ^ { 3 } + 3 b x ^ { 2 } y + 3 c x y ^ { 2 } + d y ^ { 3 }$ ; confidence 0.991

294. s08559024.png ; $L _ { 1 } : z = \phi _ { 1 } ( t )$ ; confidence 0.991

295. a11001036.png ; $\| \delta A \| \leq \epsilon \| A \|$ ; confidence 0.991

296. i05235059.png ; $t _ { i } = \phi _ { i }$ ; confidence 0.991

297. l05859071.png ; $z ( s ) = x ( \sqrt { s } ) y ( \sqrt { s } ) x ( \sqrt { s } ) ^ { - 1 } y ( \sqrt { s } ) ^ { - 1 }$ ; confidence 0.991

298. a11022049.png ; $( L , P )$ ; confidence 0.991

299. a01076023.png ; $d J ( t ) / d t$ ; confidence 0.991

300. f04082089.png ; $\operatorname { dim } F = n$ ; confidence 0.991

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/7. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/7&oldid=43914