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(AUTOMATIC EDIT of page 7 out of 13 with 300 lines: Updated image/latex database (currently 3630 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.)
 
(3 intermediate revisions by the same user not shown)
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== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086160/s0861605.png ; $J _ { m + n + 1 } ( x ) =$ ; confidence 0.892
+
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/a130240/a13024051.png ; $3$ ; confidence 0.891
+
2. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055570/k05557085.png ; $D ( k )$ ; confidence 0.994
  
3. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017290/b01729042.png ; $\partial M _ { A } \subset X \subset M _ { A }$ ; confidence 0.891
+
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/c024/c024780/c024780261.png ; $( x ^ { 2 } / a ^ { 2 } ) + ( y ^ { 2 } / b ^ { 2 } ) = 1$ ; confidence 0.891
+
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/f/f040/f040580/f04058050.png ; $\frac { | \sigma _ { i } | } { ( \operatorname { diam } \sigma _ { i } ) ^ { n } } \geq \eta$ ; confidence 0.891
+
5. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010990/a01099023.png ; $r = r ( t )$ ; confidence 0.994
  
6. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a1100208.png ; $n = k - \lambda$ ; confidence 0.891
+
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/k/k120/k120090/k12009012.png ; $= \frac { 2 } { \pi ^ { 2 } x _ { 0 } } \int _ { 0 } ^ { \infty } K _ { i \tau } ( x _ { 0 } ) \tau \operatorname { sinh } ( \pi \tau ) F ( \tau ) d \tau$ ; confidence 0.890
+
7. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420162.png ; $\theta = \theta ^ { \prime }$ ; confidence 0.994
  
8. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420126.png ; $K _ { 0 } ( \tau ) ( [ p ] _ { 0 } - [ q ] _ { 0 } ) = \tau ( p ) - \tau ( q )$ ; confidence 0.889
+
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/a/a130/a130130/a13013047.png ; $i$ ; confidence 0.889
+
9. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a011370171.png ; $f ( \psi ( z ) )$ ; confidence 0.994
  
10. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600128.png ; $f _ { 1 } = \ldots = f _ { m }$ ; confidence 0.889
+
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/s/s085/s085210/s08521071.png ; $\square ^ { 2 } F _ { 4 } ( q ) ^ { \prime }$ ; confidence 0.889
+
11. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110130/b1101309.png ; $E _ { 2 }$ ; confidence 0.994
  
12. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021022.png ; $\omega ^ { * } \overline { \pi }$ ; confidence 0.888
+
12. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539051.png ; $L _ { 11 } < L _ { 12 }$ ; confidence 0.994
  
13. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001054.png ; $\| A \| = 10 ^ { 5 }$ ; confidence 0.887
+
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/a/a010/a010200/a01020066.png ; $A \oplus B$ ; confidence 0.887
+
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/c/c027/c027240/c02724015.png ; $x ^ { 3 } + y ^ { 3 } - 3 a x y = 0$ ; confidence 0.887
+
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/m/m063/m063140/m06314012.png ; $- \frac { \partial D } { \partial t } + \operatorname { rot } H = J$ ; confidence 0.887
+
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/p/p072/p072370/p07237060.png ; $\overline { \Omega } _ { k } \subset \Omega _ { k + 1 }$ ; confidence 0.887
+
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/q/q076/q076820/q076820220.png ; $E \theta ( t ) \theta ( t + u ) = \int _ { 0 } F ( t + u - v ) ( 1 - G ( t - v ) ) d m ( v )$ ; confidence 0.887
+
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/v/v096/v096870/v09687032.png ; $\tau _ { j } < 0$ ; confidence 0.887
+
19. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036240/e03624043.png ; $\sigma \approx s$ ; confidence 0.994
  
20. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011079.png ; $A ^ { * } \sigma A = \sigma$ ; confidence 0.887
+
20. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036400/e03640033.png ; $2 - m - 1$ ; confidence 0.994
  
21. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b01747034.png ; $( i i + 1 )$ ; confidence 0.886
+
21. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036820/e03682038.png ; $\tau \geq \zeta$ ; confidence 0.994
  
22. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120110/m12011054.png ; $\pi _ { 1 } ( M ) \neq Z _ { 2 }$ ; confidence 0.886
+
22. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037200/e037200118.png ; $\gamma \geq 0$ ; confidence 0.994
  
23. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075350/p075350108.png ; $P _ { n } ( R )$ ; confidence 0.886
+
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/v/v096/v096650/v0966506.png ; $n \geq 12$ ; confidence 0.886
+
24. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g043780157.png ; $T \xi$ ; confidence 0.994
  
25. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539036.png ; $\int _ { \Theta } L ( \theta , d ) \frac { p ( x | \theta ) \pi ( \theta ) } { p ( x ) } d \nu ( \theta ) = E [ L ( \theta , d ) | x ]$ ; confidence 0.885
+
25. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044840/g04484023.png ; $B \rightarrow b B$ ; confidence 0.994
  
26. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001030.png ; $5$ ; confidence 0.885
+
26. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052860/i052860119.png ; $( = 2 / \pi )$ ; confidence 0.994
  
27. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110150/f11015067.png ; $t \subset v$ ; confidence 0.885
+
27. https://www.encyclopediaofmath.org/legacyimages/i/i053/i053040/i05304033.png ; $F _ { 0 }$ ; confidence 0.994
  
28. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097910/w09791036.png ; $L _ { - } ( \lambda ) C ( \lambda ) / B ( \lambda )$ ; confidence 0.885
+
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/a/a130/a130240/a13024085.png ; $\gamma _ { i j }$ ; confidence 0.884
+
29. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055480/k05548037.png ; $R \phi / 6$ ; confidence 0.994
  
30. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240334.png ; $\Gamma = B X$ ; confidence 0.884
+
30. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057200/l0572001.png ; $T + V = h$ ; confidence 0.994
  
31. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240239.png ; $MS _ { e }$ ; confidence 0.884
+
31. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058610/l05861031.png ; $Z \times T$ ; confidence 0.994
  
32. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110170/c11017044.png ; $C \rho _ { p } C ^ { \prime }$ ; confidence 0.884
+
32. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120210/m12021026.png ; $\lambda K + t$ ; confidence 0.994
  
33. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120190/c12019044.png ; $T ( M )$ ; confidence 0.884
+
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/l/l057/l057610/l05761045.png ; $m < n ^ { ( 1 / 3 ) - \delta }$ ; confidence 0.883
+
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/m/m130/m130180/m130180141.png ; $H _ { n - 2 }$ ; confidence 0.883
+
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/a/a110/a110010/a110010293.png ; $\leq k ( T ) _ { 1 \leq r \leq m - 1,1 \leq i \leq p } \frac { | f ^ { ( r ) } ( \lambda _ { i } ) - g ^ { ( r ) } ( \lambda _ { i } ) | } { r ! } m _ { i }$ ; confidence 0.883
+
36. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070310/o070310119.png ; $A \perp A ^ { T }$ ; confidence 0.994
  
37. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780207.png ; $e ^ { x _ { i } } - 1$ ; confidence 0.882
+
37. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072880/p07288011.png ; $\{ z _ { k } \} \subset \Delta$ ; confidence 0.994
  
38. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026910/c02691013.png ; $\Gamma ( C ) = V$ ; confidence 0.882
+
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/i/i050/i050650/i050650262.png ; $K ( T M ^ { g } ) \otimes C \rightarrow C$ ; confidence 0.882
+
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/l/l110/l110140/l11014038.png ; $\epsilon$ ; confidence 0.882
+
40. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073930/p07393024.png ; $A / N _ { f }$ ; confidence 0.994
  
41. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120040/s120040132.png ; $\lambda ^ { s _ { \mu } } = \sum _ { \nu } c _ { \lambda \mu } ^ { \nu } s _ { \nu }$ ; confidence 0.882
+
41. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074720/p07472076.png ; $\gamma \in G$ ; confidence 0.994
  
42. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120280/a120280141.png ; $S _ { E } = \{ \omega \in \hat { G } : E + \omega \subseteq E \}$ ; confidence 0.881
+
42. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075360/p0753601.png ; $X = \operatorname { Proj } ( R )$ ; confidence 0.994
  
43. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048420/h0484203.png ; $F _ { + } ( x + i 0 ) - F _ { - } ( x - i 0 )$ ; confidence 0.881
+
43. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082290/r082290135.png ; $U : E \rightarrow M$ ; confidence 0.994
  
44. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081600/r08160033.png ; $y _ { 2 } = ( x _ { 1 } + x _ { 3 } ) ( x _ { 2 } + x _ { 4 } )$ ; confidence 0.881
+
44. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085300/s08530020.png ; $c b = c$ ; confidence 0.994
  
45. https://www.encyclopediaofmath.org/legacyimages/y/y099/y099070/y09907014.png ; $t _ { \lambda } ^ { \prime }$ ; confidence 0.881
+
45. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091570/s09157097.png ; $T ^ { * } Y \backslash 0$ ; confidence 0.994
  
46. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539044.png ; $i , j = 1,2$ ; confidence 0.881
+
46. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150169.png ; $F \in \gamma$ ; confidence 0.994
  
47. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032600/d032600176.png ; $w _ { N } ( \alpha ) \geq n$ ; confidence 0.879
+
47. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012058.png ; $( x , y )$ ; confidence 0.994
  
48. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240222.png ; $r$ ; confidence 0.879
+
48. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081055.png ; $U _ { k }$ ; confidence 0.994
  
49. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025170/c02517037.png ; $\omega ^ { k } = d x ^ { k }$ ; confidence 0.878
+
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/c/c026/c026460/c0264605.png ; $\alpha _ { i } < b _ { i }$ ; confidence 0.878
+
50. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a01138048.png ; $x \& x = 0$ ; confidence 0.994
  
51. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120060/l12006098.png ; $H \phi$ ; confidence 0.878
+
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/t/t093/t093990/t09399044.png ; $Q _ { 1 } \cup \square \ldots \cup Q _ { m }$ ; confidence 0.878
+
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/c/c026/c026970/c02697049.png ; $| w | < 1 / 16$ ; confidence 0.877
+
53. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004094.png ; $( E L ) = 2$ ; confidence 0.994
  
54. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042210/f04221056.png ; $e _ { \lambda } ^ { 1 } \in X$ ; confidence 0.877
+
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/m064430/m06443090.png ; $B O$ ; confidence 0.877
+
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/n/n067/n067520/n067520250.png ; $d j \neq 0$ ; confidence 0.877
+
56. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797046.png ; $U ( P _ { A } )$ ; confidence 0.994
  
57. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002062.png ; $3$ ; confidence 0.876
+
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/g/g043/g043620/g0436207.png ; $R [ F ( t ) ] = ( 1 - t ^ { 2 } ) F ^ { \prime \prime } - ( 2 \rho - 1 ) t F ^ { \prime \prime }$ ; confidence 0.876
+
58. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120030/k1200308.png ; $\operatorname { Ric } ( \omega ) = - \omega$ ; confidence 0.994
  
59. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a0101806.png ; $z = z 0$ ; confidence 0.876
+
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/a130240/a1302403.png ; $n \times 1$ ; confidence 0.875
+
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/a120120/a12012069.png ; $p ^ { * } y \leq \lambda ^ { * } p ^ { * } x$ ; confidence 0.875
+
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/a011/a011600/a011600189.png ; $( K / k )$ ; confidence 0.875
+
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/e/e035/e035250/e03525091.png ; $z _ { k } \in L$ ; confidence 0.875
+
63. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a120070120.png ; $u ( v )$ ; confidence 0.994
  
64. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i130090231.png ; $( X ^ { \omega } \chi ^ { - 1 } ) = \pi ^ { \mu _ { \chi } ^ { * } } g _ { \chi } ^ { * } ( T )$ ; confidence 0.875
+
64. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010640/a01064016.png ; $k _ { 2 } = 3$ ; confidence 0.994
  
65. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058820/l058820374.png ; $\tau = \{ t _ { i } \} _ { i = 0 } ^ { i = n }$ ; confidence 0.875
+
65. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010680/a01068044.png ; $\{ m \}$ ; confidence 0.994
  
66. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060770/l0607706.png ; $\operatorname { inv } ( x )$ ; confidence 0.875
+
66. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011100/a01110030.png ; $A ( L )$ ; confidence 0.994
  
67. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093900/t09390073.png ; $g _ { n } ( \Omega )$ ; confidence 0.875
+
67. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052040.png ; $A _ { M }$ ; confidence 0.994
  
68. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013039.png ; $Q = \sum _ { j = 0 } ^ { \infty } Q _ { j } z ^ { - j } , Q _ { j } = \left( \begin{array} { c c } { h _ { j } } & { e _ { j } } \\ { f _ { j } } & { - h _ { j } } \end{array} \right)$ ; confidence 0.875
+
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/a/a110/a110010/a110010299.png ; $m$ ; confidence 0.874
+
69. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047410/h047410106.png ; $N _ { K / k } ( \beta )$ ; confidence 0.994
  
70. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064440/m06444056.png ; $c = 0$ ; confidence 0.874
+
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/s/s085/s085830/s08583016.png ; $| w | = \rho < 1$ ; confidence 0.874
+
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/a/a130/a130240/a130240408.png ; $y _ { i j k }$ ; confidence 0.873
+
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/a/a013/a013000/a01300057.png ; $L _ { p } ( E )$ ; confidence 0.872
+
73. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a120070122.png ; $A ( t , v )$ ; confidence 0.994
  
74. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l058590134.png ; $S \cap R ( G ) = ( e )$ ; confidence 0.872
+
74. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110120/l11012076.png ; $i \geq 2$ ; confidence 0.994
  
75. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240230.png ; $\psi = \sum _ { i = 1 } ^ { r } d _ { i } \zeta _ { i }$ ; confidence 0.871
+
75. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640106.png ; $p _ { 12 } = 1$ ; confidence 0.994
  
76. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t1200107.png ; $m = 2 i + 1$ ; confidence 0.871
+
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/b/b110/b110330/b11033038.png ; $P ^ { \prime }$ ; confidence 0.871
+
77. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a01130085.png ; $m - i < 1$ ; confidence 0.994
  
78. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051930/i051930181.png ; $Y = C$ ; confidence 0.871
+
78. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006034.png ; $A _ { K }$ ; confidence 0.994
  
79. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a1302405.png ; $( n \times m )$ ; confidence 0.870
+
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/a/a130/a130240/a130240510.png ; $\Theta = E ( Z _ { 12 } )$ ; confidence 0.870
+
80. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020570/c02057061.png ; $\overline { \partial } g = 0$ ; confidence 0.994
  
81. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110690/b11069080.png ; $M _ { A g }$ ; confidence 0.870
+
81. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110070/a11007035.png ; $2 n \geq p$ ; confidence 0.994
  
82. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130180/d13018035.png ; $\| \hat { f } \| = \| f \| _ { 1 }$ ; confidence 0.870
+
82. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050235.png ; $A _ { G } > 0$ ; confidence 0.994
  
83. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065570/m06557014.png ; $L _ { \cap } \Gamma = 0$ ; confidence 0.870
+
83. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001048.png ; $t - p$ ; confidence 0.994
  
84. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087350/s08735095.png ; $I _ { n } ( \theta ) = n I ( \theta )$ ; confidence 0.870
+
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/t/t120/t120010/t12001011.png ; $\xi = I ( \partial _ { r } )$ ; confidence 0.869
+
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/a130130/a13013076.png ; $P ^ { ( l ) }$ ; confidence 0.869
+
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/b/b110/b110570/b11057061.png ; $H _ { m }$ ; confidence 0.869
+
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/c/c026/c026040/c02604071.png ; $A _ { n } x _ { n } = y _ { n }$ ; confidence 0.869
+
88. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110410/a11041068.png ; $\tau = u / v$ ; confidence 0.993
  
89. https://www.encyclopediaofmath.org/legacyimages/w/w098/w098160/w09816057.png ; $Y \times X$ ; confidence 0.869
+
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/a/a130/a130240/a130240226.png ; $\zeta _ { r + 1 } = \ldots = \zeta _ { n } = 0$ ; confidence 0.868
+
90. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032890/d03289090.png ; $\Lambda ( n )$ ; confidence 0.993
  
91. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240209.png ; $S$ ; confidence 0.868
+
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/m/m120/m120160/m12016065.png ; $\Omega _ { p _ { 1 } n _ { 1 } } ( t ^ { \prime } t ^ { \prime } )$ ; confidence 0.868
+
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/p/p073/p073700/p073700205.png ; $l _ { n } = \# \{ s \in S : d ( s ) = n \}$ ; confidence 0.868
+
93. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011480/a01148089.png ; $n = 5$ ; confidence 0.993
  
94. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650145.png ; $\phi * : H ^ { * } ( B / S ) = H ^ { * } ( T M ) \rightarrow H ^ { * } ( M )$ ; confidence 0.867
+
94. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060124.png ; $F$ ; confidence 0.993
  
95. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l05700011.png ; $M N$ ; confidence 0.867
+
95. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012029.png ; $\mu _ { i } > 0$ ; confidence 0.993
  
96. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059350/l05935013.png ; $x ^ { ( n ) } + \alpha _ { 1 } ( t ) x ^ { ( n - 1 ) } + \ldots + \alpha _ { n } ( t ) x = 0$ ; confidence 0.867
+
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/a110420/a11042095.png ; $C ^ { * }$ ; confidence 0.866
+
97. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a0102007.png ; $A + B$ ; confidence 0.993
  
98. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130130/d1301309.png ; $z = r \operatorname { cos } \theta$ ; confidence 0.866
+
98. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145091.png ; $l ( K - D ) = 0$ ; confidence 0.993
  
99. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110230/d11023041.png ; $K = \overline { K } \cap L _ { m } ( G )$ ; confidence 0.866
+
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/e/e036/e036770/e03677067.png ; $\phi ^ { - 1 } ( b ) \cong P ^ { \prime } ( C )$ ; confidence 0.866
+
100. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120277.png ; $O ^ { F }$ ; confidence 0.993
  
101. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e03696065.png ; $y _ { j } \delta \theta$ ; confidence 0.866
+
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/p/p075/p075350/p07535088.png ; $P _ { s } ^ { l } ( k )$ ; confidence 0.866
+
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/s/s120/s120230/s1202309.png ; $O ( r )$ ; confidence 0.866
+
103. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d03183090.png ; $p = p _ { F } ( B )$ ; confidence 0.993
  
104. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063920/m063920116.png ; $\int \int K d S$ ; confidence 0.865
+
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/a/a130/a130240/a130240369.png ; $M _ { H } M _ { E } ^ { - 1 }$ ; confidence 0.865
+
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/a/a130/a130240/a130240240.png ; $\sigma ^ { 2 }$ ; confidence 0.864
+
106. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040155.png ; $J ( C )$ ; confidence 0.993
  
107. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110380/b11038070.png ; $\Theta f$ ; confidence 0.864
+
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/f/f041/f041250/f0412506.png ; $\infty \rightarrow \alpha / c$ ; confidence 0.864
+
108. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h047690122.png ; $n = 4 k - 1$ ; confidence 0.993
  
109. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063590/m06359074.png ; $F \mapsto F ( P )$ ; confidence 0.864
+
109. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a011490107.png ; $P _ { k } ( x ) y$ ; confidence 0.993
  
110. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510139.png ; $L \subset Z ^ { 0 }$ ; confidence 0.864
+
110. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060112.png ; $\alpha > 1$ ; confidence 0.993
  
111. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087320/s08732031.png ; $\Pi ^ { * } \in C$ ; confidence 0.864
+
111. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029033.png ; $A \cap A ^ { \prime }$ ; confidence 0.993
  
112. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093770/t09377039.png ; $g = R ^ { \alpha } f$ ; confidence 0.864
+
112. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058660/l05866035.png ; $G$ ; confidence 0.993
  
113. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310161.png ; $A W ^ { * }$ ; confidence 0.863
+
113. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023050/c02305015.png ; $( n - p - 1 )$ ; confidence 0.993
  
114. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240544.png ; $20$ ; confidence 0.863
+
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/a120/a120220/a12022013.png ; $T : X \rightarrow Y$ ; confidence 0.863
+
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/a120/a120050/a12005085.png ; $0 \leq t _ { 1 } \leq \ldots \leq t _ { k } \leq T$ ; confidence 0.863
+
116. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420153.png ; $K _ { 0 } ( B ) ^ { + }$ ; confidence 0.993
  
117. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c02278058.png ; $O ( X ) = \oplus _ { n = - \infty } ^ { + \infty } O ^ { n } ( X )$ ; confidence 0.863
+
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/s/s085/s085590/s085590370.png ; $x _ { 0 } ^ { 2 } + \ldots + x _ { n } ^ { 2 } = 0$ ; confidence 0.863
+
118. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042070.png ; $K _ { 0 } ( \varphi ) = \alpha$ ; confidence 0.993
  
119. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013250/a01325015.png ; $\operatorname { arg } f$ ; confidence 0.862
+
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/k/k055/k055480/k05548036.png ; $\| g _ { \alpha \beta } \|$ ; confidence 0.862
+
120. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013055.png ; $L ( \Lambda _ { 0 } )$ ; confidence 0.993
  
121. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072210/p07221037.png ; $F ^ { k }$ ; confidence 0.862
+
121. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240286.png ; $1 - \alpha$ ; confidence 0.993
  
122. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093330/t09333059.png ; $r _ { 2 } \in R$ ; confidence 0.862
+
122. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650412.png ; $A _ { \alpha } \subseteq A$ ; confidence 0.993
  
123. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081430/r08143081.png ; $e X$ ; confidence 0.861
+
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/c026/c026980/c02698053.png ; $E _ { 8 }$ ; confidence 0.860
+
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/n/n066/n066520/n06652019.png ; $\epsilon < \epsilon ^ { \prime } < \ldots$ ; confidence 0.860
+
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/w/w097/w097670/w097670169.png ; $\operatorname { gr } ( A _ { 1 } ( K ) )$ ; confidence 0.860
+
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/a/a110/a110040/a110040106.png ; $L ] = \lambda$ ; confidence 0.859
+
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/a/a130/a130240/a130240341.png ; $Z , \Gamma , F$ ; confidence 0.859
+
128. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020540/c020540177.png ; $\epsilon ( \sigma ) = 1$ ; confidence 0.993
  
129. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017800/b01780053.png ; $n = p$ ; confidence 0.858
+
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/c/c025/c025470/c02547063.png ; $\alpha = d t + \sum p _ { i } d q _ { i }$ ; confidence 0.858
+
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/e/e130/e130020/e13002010.png ; $\varphi$ ; confidence 0.858
+
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/m/m063/m063920/m063920117.png ; $\int \int K d S \leq 2 \pi ( \chi - k )$ ; confidence 0.858
+
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/r/r082/r082570/r08257030.png ; $j 2 ^ { - k - l }$ ; confidence 0.858
+
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/a130/a130240/a130240391.png ; $( M _ { H } M _ { E } ^ { - 1 } ) >$ ; confidence 0.858
+
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/a130/a130240/a130240384.png ; $q \geq 2$ ; confidence 0.857
+
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/a130/a130130/a1301304.png ; $8$ ; confidence 0.857
+
136. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042070/f04207074.png ; $T _ { N } ( t )$ ; confidence 0.993
  
137. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240354.png ; $E ( Z _ { 2 } )$ ; confidence 0.857
+
137. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120030/h12003026.png ; $\operatorname { dim } M = 2$ ; confidence 0.993
  
138. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036910/e03691052.png ; $z = \operatorname { ln } \alpha = \operatorname { ln } | \alpha | + i \operatorname { Arg } \alpha$ ; confidence 0.857
+
138. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h12012026.png ; $f \phi = 0$ ; confidence 0.993
  
139. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058820/l058820245.png ; $\operatorname { lim } _ { x \rightarrow x _ { 0 } } ( f _ { 1 } ( x ) / f _ { 2 } ( x ) )$ ; confidence 0.857
+
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/a110/a110040/a11004020.png ; $a$ ; confidence 0.856
+
140. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058830/l05883068.png ; $- \Delta u + c u$ ; confidence 0.993
  
141. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021620/c02162087.png ; $\kappa ( \eta ^ { q } ) \in H ^ { 2 q } ( B )$ ; confidence 0.856
+
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/e/e036/e036980/e03698026.png ; $\alpha : G \rightarrow \operatorname { Aut } A$ ; confidence 0.856
+
142. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063460/m063460176.png ; $\psi _ { z } \neq 0$ ; confidence 0.993
  
143. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240513.png ; $T _ { 2 }$ ; confidence 0.856
+
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/b/b016/b016170/b01617013.png ; $F _ { n } ( z )$ ; confidence 0.855
+
144. https://www.encyclopediaofmath.org/legacyimages/o/o110/o110070/o11007085.png ; $K _ { 10 }$ ; confidence 0.993
  
145. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041310/f04131029.png ; $\Lambda = \frac { \partial } { \partial x } + i \frac { \partial } { \partial y }$ ; confidence 0.855
+
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/b/b130/b130060/b13006060.png ; $b _ { i }$ ; confidence 0.854
+
146. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075350/p07535038.png ; $d ( S )$ ; confidence 0.993
  
147. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033460/d033460124.png ; $| F _ { 0 } ^ { \prime } ( \zeta _ { 0 } ) | \leq | F ^ { \prime } ( \zeta _ { 0 } ) | \leq | F _ { \pi / 2 } ^ { \prime } ( \zeta _ { 0 } ) |$ ; confidence 0.854
+
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/s/s086/s086960/s08696076.png ; $V < 0$ ; confidence 0.854
+
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/b/b015/b015390/b01539056.png ; $\delta ^ { * } ( x ) = \left\{ \begin{array} { l l } { d _ { 1 } , } & { \text { if } \frac { p ( x | \theta _ { 2 } ) } { p ( x | \theta _ { 1 } ) } \leq \frac { \pi _ { 1 } } { \pi _ { 2 } } \frac { L _ { 12 } - L _ { 11 } } { L _ { 21 } - L _ { 22 } } } \\ { d _ { 2 } , } & { \text { if } \frac { p ( x | \theta _ { 2 } ) } { p ( x | \theta _ { 1 } ) } \geq \frac { \pi _ { 1 } } { \pi _ { 2 } } \frac { L _ { 12 } - L _ { 11 } } { L _ { 21 } - L _ { 22 } } } \end{array} \right.$ ; confidence 0.853
+
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/a/a110/a110010/a11001017.png ; $x = A ^ { - 1 } b$ ; confidence 0.852
+
150. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087460/s08746026.png ; $\{ \epsilon _ { t } \}$ ; confidence 0.993
  
151. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240302.png ; $\hat { \eta } \omega$ ; confidence 0.852
+
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/d/d033/d033980/d03398025.png ; $\sum _ { m = 1 } ^ { \infty } u _ { m n n }$ ; confidence 0.852
+
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/e/e035/e035110/e03511022.png ; $\Sigma - 1$ ; confidence 0.852
+
153. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093710/t0937107.png ; $x = f ( \alpha )$ ; confidence 0.993
  
154. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092600/t092600123.png ; $B = I _ { p }$ ; confidence 0.852
+
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/c/c023/c023250/c023250173.png ; $\beta _ { 0 }$ ; confidence 0.851
+
155. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090399.png ; $L ( \mu )$ ; confidence 0.993
  
156. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110050/h11005031.png ; $w _ { 2 } = f ( r _ { 1 } ) \ldots f ( r _ { n } )$ ; confidence 0.851
+
156. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120210/w12021059.png ; $B _ { m } = R$ ; confidence 0.993
  
157. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059110/l05911087.png ; $l _ { 2 } u = \phi _ { 2 } ( t )$ ; confidence 0.851
+
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/l/l120/l120120/l120120133.png ; $( K _ { p } ) _ { i n s }$ ; confidence 0.851
+
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/a/a110/a110010/a11001029.png ; $| b | \leq \| A |$ ; confidence 0.850
+
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/c/c130/c130250/c13025017.png ; $Y _ { j } = i$ ; confidence 0.850
+
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/i/i050/i050950/i05095033.png ; $S = \frac { K } { 3 }$ ; confidence 0.850
+
161. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005094.png ; $t )$ ; confidence 0.993
  
162. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c02278052.png ; $N \gg n$ ; confidence 0.849
+
162. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033110/d03311035.png ; $i > j$ ; confidence 0.993
  
163. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024890/c0248905.png ; $\alpha ( x ) - b ( x ) = f ( x ) g ( x ) + p h ( x )$ ; confidence 0.849
+
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/f/f040/f040230/f040230100.png ; $x _ { n } = n$ ; confidence 0.849
+
164. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010760/a01076016.png ; $p , q$ ; confidence 0.993
  
165. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064580/m06458025.png ; $k _ { 1 } + \ldots + k _ { n } = k$ ; confidence 0.849
+
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/g/g044/g044470/g044470103.png ; $\psi \circ \phi = \phi ^ { \prime } \circ \psi$ ; confidence 0.848
+
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/n/n066/n066890/n06689067.png ; $v = 1.1 m / sec$ ; confidence 0.848
+
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/a/a110/a110680/a110680179.png ; $\phi _ { x y } a \leq b$ ; confidence 0.847
+
168. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010205.png ; $z \neq 0$ ; confidence 0.993
  
169. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130080/d13008069.png ; $H = C ^ { n }$ ; confidence 0.847
+
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/a/a130/a130130/a130130103.png ; $K P$ ; confidence 0.846
+
170. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a11022082.png ; $j \geq 1$ ; confidence 0.993
  
171. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110580/a11058047.png ; $= v : q$ ; confidence 0.846
+
171. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040753.png ; $( \Sigma ( P , R ) )$ ; confidence 0.993
  
172. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120070/e12007012.png ; $\Gamma _ { q }$ ; confidence 0.846
+
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/f/f120/f120080/f120080162.png ; $L _ { q } ( X )$ ; confidence 0.846
+
173. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110170/a11017022.png ; $\Omega _ { 0 } ^ { + }$ ; confidence 0.993
  
174. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a120160130.png ; $W E = R . F . I$ ; confidence 0.845
+
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/e/e036/e036070/e03607020.png ; $\tau _ { n } ^ { ( B ) }$ ; confidence 0.845
+
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/l/l058/l058820/l058820138.png ; $\operatorname { lim } _ { x \rightarrow x _ { 0 } } f ( x ) = \alpha$ ; confidence 0.845
+
176. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b13030093.png ; $i \geq 1$ ; confidence 0.993
  
177. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064720/m0647206.png ; $f _ { E } ^ { \prime } ( \zeta )$ ; confidence 0.845
+
177. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t130140127.png ; $q _ { R } ( v ) > 0$ ; confidence 0.993
  
178. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070220/o07022036.png ; $E$ ; confidence 0.845
+
178. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005062.png ; $t \in ( 0 , T ]$ ; confidence 0.993
  
179. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074690/p07469030.png ; $\pi G ( x ) = b$ ; confidence 0.845
+
179. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010058.png ; $A = - \Delta$ ; confidence 0.993
  
180. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082230/r0822307.png ; $| x _ { i } | \leq 1$ ; confidence 0.845
+
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/a/a120/a120310/a12031093.png ; $I _ { 1 }$ ; confidence 0.843
+
181. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010680/a01068025.png ; $r ( n )$ ; confidence 0.993
  
182. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c120210117.png ; $\Lambda _ { n } ( \theta ) - h ^ { \prime } \Delta _ { n } ( \theta ) \rightarrow - \frac { 1 } { 2 } h ^ { \prime } \Gamma ( \theta ) h$ ; confidence 0.843
+
182. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a01146023.png ; $( 2 p - q , q )$ ; confidence 0.993
  
183. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120010/j12001037.png ; $\operatorname { log } F \leq 100$ ; confidence 0.843
+
183. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050279.png ; $G ^ { \# } ( n )$ ; confidence 0.993
  
184. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075350/p07535017.png ; $q IL$ ; confidence 0.843
+
184. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120040/b120040161.png ; $\epsilon = 0$ ; confidence 0.993
  
185. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001087.png ; $= \| ( I - ( I - B A ) ) ^ { - 1 } B r \| \leq$ ; confidence 0.843
+
185. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120282.png ; $G \in O ^ { F }$ ; confidence 0.993
  
186. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240357.png ; $n - r \geq p$ ; confidence 0.843
+
186. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150069.png ; $p = 0$ ; confidence 0.992
  
187. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042077.png ; $K _ { 0 } ( \varphi ) = K _ { 0 } ( \psi )$ ; confidence 0.842
+
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/i/i050/i050230/i050230312.png ; $- \infty < r < \infty$ ; confidence 0.842
+
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/i/i051/i051880/i05188051.png ; $\mathfrak { M } \in S _ { 1 }$ ; confidence 0.842
+
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/a120220/a1202209.png ; $x | < e$ ; confidence 0.841
+
190. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029037.png ; $D _ { A }$ ; confidence 0.992
  
191. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082290/r08229026.png ; $y _ { n } \leq x _ { n } \leq z _ { n }$ ; confidence 0.841
+
191. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011080/a0110806.png ; $r = r ( s )$ ; confidence 0.992
  
192. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001044.png ; $k ( A ) = 10 ^ { p }$ ; confidence 0.841
+
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/d/d031/d031950/d03195033.png ; $L u = \operatorname { div } ( p ( x ) \operatorname { grad } u ) + q ( x ) u$ ; confidence 0.840
+
193. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120200/b1202001.png ; $H ^ { 2 }$ ; confidence 0.992
  
194. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037080/e03708073.png ; $x _ { i } ^ { 2 } = 0$ ; confidence 0.840
+
194. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b0153908.png ; $L ( \theta , d )$ ; confidence 0.992
  
195. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f12011010.png ; $| \varphi ( z ) | ^ { 2 } e ^ { \delta | z | }$ ; confidence 0.840
+
195. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120398.png ; $y \in G$ ; confidence 0.992
  
196. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120070/g12007022.png ; $m \equiv 4$ ; confidence 0.840
+
196. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006010.png ; $L ( R ^ { p } )$ ; confidence 0.992
  
197. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077260/r07726020.png ; $\zeta _ { 2 n } = \sqrt { - 2 \operatorname { ln } \xi _ { 2 n } } \operatorname { sin } 2 \pi \xi _ { 2 n - 1 }$ ; confidence 0.840
+
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/a110/a110010/a110010188.png ; $M _ { i } = \{ z : | z - \lambda _ { i } | \leq \| T ^ { - 1 } \| \| T \| \delta A \| \}$ ; confidence 0.839
+
198. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010950/a01095019.png ; $t \rightarrow 0$ ; confidence 0.992
  
199. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020740/c020740328.png ; $e \in E$ ; confidence 0.839
+
199. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a01417032.png ; $M = H$ ; confidence 0.992
  
200. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300102.png ; $C$ ; confidence 0.838
+
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/a120220/a12022031.png ; $0 \leq S \leq T$ ; confidence 0.838
+
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/m/m062/m062490/m06249026.png ; $\Lambda \in N ^ { t }$ ; confidence 0.838
+
202. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058610/l05861062.png ; $\operatorname { pin } ( n )$ ; confidence 0.992
  
203. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024069.png ; $y _ { i j k }$ ; confidence 0.838
+
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/k/k055/k055450/k0554502.png ; $u | _ { \Sigma } = 0$ ; confidence 0.837
+
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/l/l059/l059250/l05925090.png ; $v \in ( 1 - t ) V$ ; confidence 0.837
+
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/s/s085/s085620/s085620184.png ; $f _ { t } = h _ { t } \circ f _ { 0 } \circ k _ { t }$ ; confidence 0.837
+
206. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050128.png ; $D ( S ) = Y$ ; confidence 0.992
  
207. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090450/s09045062.png ; $\zeta ^ { \phi } \in C ^ { d }$ ; confidence 0.837
+
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/a/a110/a110010/a110010301.png ; $f ^ { ( r ) } ( \lambda )$ ; confidence 0.837
+
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/a/a130/a130240/a130240168.png ; $\alpha , = 0$ ; confidence 0.837
+
209. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065570/m0655709.png ; $f ( v ) \neq 0$ ; confidence 0.992
  
210. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032610/d03261012.png ; $y = y _ { 0 } - a n$ ; confidence 0.836
+
210. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110350/a11035017.png ; $\psi _ { \mu } ( t )$ ; confidence 0.992
  
211. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054050/j05405060.png ; $H _ { 2 } = \prod _ { m = 1 } ^ { \infty } ( 1 + e ^ { ( 2 m - 1 ) i \pi \tau } )$ ; confidence 0.836
+
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/b/b110/b110100/b11010099.png ; $\| T \| T ^ { - 1 } \| \geq c n$ ; confidence 0.835
+
212. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010079.png ; $( I + \lambda A )$ ; confidence 0.992
  
213. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025440/c02544025.png ; $D ^ { + } = \cup _ { k = 1 } ^ { m } D _ { k }$ ; confidence 0.835
+
213. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010640/a01064015.png ; $k _ { 1 } = 2$ ; confidence 0.992
  
214. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110410/c11041081.png ; $\{ X _ { t } : t \in T \}$ ; confidence 0.835
+
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/a130240429.png ; $\Theta$ ; confidence 0.834
+
215. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009080.png ; $| f ( z ) | < 1$ ; confidence 0.992
  
216. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650252.png ; $\forall x _ { k }$ ; confidence 0.834
+
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/e/e110/e110070/e11007046.png ; $C x ^ { - 1 }$ ; confidence 0.834
+
217. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130170/b13017045.png ; $S _ { T }$ ; confidence 0.992
  
218. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041250/f0412503.png ; $z \rightarrow w = L ( z ) = \frac { a z + b } { c z + d }$ ; confidence 0.834
+
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/a/a014/a014060/a01406076.png ; $\mathfrak { A } _ { s _ { 1 } }$ ; confidence 0.833
+
219. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200102.png ; $\beta \neq - \alpha$ ; confidence 0.992
  
220. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015350/b01535027.png ; $\alpha _ { i } \in \Omega$ ; confidence 0.833
+
220. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017350/b01735056.png ; $K ^ { + }$ ; confidence 0.992
  
221. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830269.png ; $\operatorname { ord } ( \theta ) = \sum e$ ; confidence 0.833
+
221. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021600/c02160021.png ; $A$ ; confidence 0.992
  
222. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062590/m06259032.png ; $B = 0$ ; confidence 0.833
+
222. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c130070146.png ; $k ( C ^ { * } )$ ; confidence 0.992
  
223. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015580/b0155806.png ; $p _ { i } = \nu ( \alpha _ { i } )$ ; confidence 0.832
+
223. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021850/c0218501.png ; $\tau = \tau ( E )$ ; confidence 0.992
  
224. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097030/w09703012.png ; $\overline { \sum _ { g } n ( g ) g } = \sum w ( g ) n ( g ) g ^ { - 1 }$ ; confidence 0.832
+
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/a130/a130130/a13013041.png ; $\sum _ { i = 0 } ^ { \infty } X _ { i } z ^ { - i }$ ; confidence 0.831
+
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/d/d032/d032250/d03225022.png ; $\partial M$ ; confidence 0.831
+
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/i/i130/i130080/i13008028.png ; $X ^ { \prime \prime } = L _ { 1 } ^ { \prime \prime } \cap L _ { 2 } ^ { \prime \prime } = L _ { 2 } ^ { \prime \prime } \cap L _ { 3 } ^ { \prime \prime } = L _ { 1 } ^ { \prime \prime } \cap L _ { 3 } ^ { \prime \prime }$ ; confidence 0.831
+
227. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032920/d03292035.png ; $s = 0$ ; confidence 0.992
  
228. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s13064057.png ; $L ^ { 1 } ( R ) \cap L ^ { \infty } ( R )$ ; confidence 0.831
+
228. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120271.png ; $\infty \in G$ ; confidence 0.992
  
229. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023140/c023140243.png ; $u \mapsto \rho ( u ) - \operatorname { Tr } ( \text { ad } u ) \in \operatorname { End } _ { K } ( M )$ ; confidence 0.830
+
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/s/s090/s090770/s090770137.png ; $\lambda _ { 1 } < \lambda _ { 2 } < \ldots$ ; confidence 0.830
+
230. https://www.encyclopediaofmath.org/legacyimages/g/g110/g110050/g11005015.png ; $\nu < \kappa$ ; confidence 0.992
  
231. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010264.png ; $1 / m$ ; confidence 0.829
+
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/b/b015/b015720/b01572032.png ; $+ \frac { \alpha } { u } [ \alpha ( \frac { \partial u } { \partial x } ) ^ { 2 } + 2 b \frac { \partial u } { \partial x } \frac { \partial u } { \partial y } + c ( \frac { \partial u } { \partial y } ) ^ { 2 } ] +$ ; confidence 0.828
+
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/d/d031/d031680/d03168056.png ; $q _ { 2 } \neq q _ { 1 }$ ; confidence 0.828
+
233. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046470/h046470224.png ; $d \sigma ( y )$ ; confidence 0.992
  
234. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059490/l059490217.png ; $\rho ^ { ( j ) }$ ; confidence 0.828
+
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/s/s083/s083000/s08300044.png ; $D _ { n } X _ { 1 }$ ; confidence 0.828
+
235. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059490/l05949079.png ; $x = F ( t ) y$ ; confidence 0.992
  
236. https://www.encyclopediaofmath.org/legacyimages/y/y110/y110010/y11001011.png ; $g ^ { \prime } = \phi ^ { 4 / ( n - 2 ) } g$ ; confidence 0.828
+
236. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062570/m06257039.png ; $\xi _ { k } = + 1$ ; confidence 0.992
  
237. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002036.png ; $g \mapsto g ^ { t }$ ; confidence 0.827
+
237. https://www.encyclopediaofmath.org/legacyimages/n/n130/n130030/n13003066.png ; $\operatorname { Re } ( \lambda )$ ; confidence 0.992
  
238. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021031.png ; $\| \omega \| ^ { 2 } = i \sum _ { j = 1 } ^ { g } ( A _ { j } \overline { B } _ { j } - B _ { j } \overline { A } _ { j } ) \geq 0$ ; confidence 0.827
+
238. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067150/n067150173.png ; $x + h \in G$ ; confidence 0.992
  
239. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110050/c11005010.png ; $CW ( 9.63 )$ ; confidence 0.827
+
239. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070310/o07031053.png ; $N ( n ) \rightarrow \infty$ ; confidence 0.992
  
240. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075480/p0754802.png ; $( p \supset ( q \supset r ) ) \supset ( ( p \supset q ) \supset ( p \supset r ) )$ ; confidence 0.827
+
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/p/p075/p075830/p0758301.png ; $a \vee b$ ; confidence 0.827
+
241. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075780/p07578019.png ; $D \rightarrow \overline { D }$ ; confidence 0.992
  
242. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087360/s087360105.png ; $\operatorname { lim } _ { n \rightarrow \infty } P \{ \frac { \alpha - \alpha } { \sigma _ { n } ( \alpha ) } < x \} = \frac { 1 } { \sqrt { 2 \pi } } \int _ { - \infty } ^ { x } e ^ { - t ^ { 2 } / 2 } d t \equiv \Phi ( x )$ ; confidence 0.827
+
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/c/c130/c130090/c13009010.png ; $x _ { j } = \operatorname { cos } ( \pi j / N )$ ; confidence 0.826
+
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/o/o070/o070340/o07034097.png ; $y = K _ { n } ( x )$ ; confidence 0.826
+
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/s/s085/s085590/s085590585.png ; $\| x \| = \rho$ ; confidence 0.826
+
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/h/h047/h047930/h04793027.png ; $x = [ u ]$ ; confidence 0.825
+
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/a110/a110010/a110010252.png ; $\delta A = - r x ^ { * } / \| x \| _ { 2 } ^ { 2 }$ ; confidence 0.825
+
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/a010/a010120/a01012050.png ; $z | > 1$ ; confidence 0.823
+
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/e/e035/e035720/e0357202.png ; $\operatorname { lim } _ { k \rightarrow \infty } | \alpha _ { k } | ^ { 1 / k } = 0$ ; confidence 0.823
+
249. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097710/w09771091.png ; $\alpha _ { i } ( x ) = 0$ ; confidence 0.992
  
250. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075560/p075560134.png ; $( P . Q ) ! = ( P \times Q ) ! = ( P ! \times Q ! ) !$ ; confidence 0.823
+
250. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w12009012.png ; $E = K ^ { x }$ ; confidence 0.992
  
251. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013056.png ; $A _ { 1 } ^ { ( 1 ) }$ ; confidence 0.822
+
251. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450201.png ; $x = \phi ( z )$ ; confidence 0.992
  
252. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016670/b01667071.png ; $n _ { 1 } = 9$ ; confidence 0.822
+
252. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004038.png ; $\Gamma \subset T$ ; confidence 0.992
  
253. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063090/m06309023.png ; $r _ { 0 } ^ { * } + \sum _ { j = 1 } ^ { q } \beta _ { j } r _ { j } ^ { * } = \sigma ^ { 2 }$ ; confidence 0.822
+
253. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021040/c021040114.png ; $\alpha , \beta \in F$ ; confidence 0.992
  
254. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110130/m11013041.png ; $\beta + \gamma \simeq \alpha . S ( t )$ ; confidence 0.822
+
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/s130/s130040/s13004069.png ; $X ^ { * } = \Gamma \backslash D ^ { * }$ ; confidence 0.822
+
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/a/a010/a010180/a01018017.png ; $20,21,22$ ; confidence 0.822
+
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/a010/a010210/a010210116.png ; $d [ ( \omega ) ] = \alpha _ { 1 } + \ldots + \alpha _ { n }$ ; confidence 0.821
+
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/g/g043/g043580/g04358023.png ; $f _ { \zeta } ( \lambda )$ ; confidence 0.821
+
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/l/l059/l059140/l0591406.png ; $T _ { x _ { 1 } } ( M ) \rightarrow T _ { x _ { 0 } } ( M )$ ; confidence 0.821
+
259. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a130180177.png ; $\square ^ { \alpha } U$ ; confidence 0.992
  
260. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082050/r08205056.png ; $\partial \overline { R } _ { \nu }$ ; confidence 0.821
+
260. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028023.png ; $\chi ( G ; k )$ ; confidence 0.992
  
261. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015110/b01511035.png ; $U ( y ) = \int _ { \Gamma } f ( x ) d \beta _ { Y } ( x )$ ; confidence 0.820
+
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/b/b016/b016990/b0169909.png ; $\Omega _ { M } ( \rho ) \in V _ { M } ^ { V ^ { n } }$ ; confidence 0.820
+
262. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a130070108.png ; $\alpha \geq 2$ ; confidence 0.992
  
263. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021620/c02162091.png ; $c _ { q } ( \xi ) = \kappa ( \eta ^ { q } )$ ; confidence 0.820
+
263. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120103.png ; $( n - p )$ ; confidence 0.992
  
264. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d130060103.png ; $Z \in X$ ; confidence 0.820
+
264. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n0669005.png ; $C ^ { 1 }$ ; confidence 0.992
  
265. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035790/e03579057.png ; $\sum _ { n } ^ { - 1 }$ ; confidence 0.820
+
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/c/c026/c026460/c02646028.png ; $x _ { k + 1 } = x _ { k } - \alpha _ { k } p _ { k }$ ; confidence 0.819
+
266. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820187.png ; $[ p ] ( X ) = 0$ ; confidence 0.992
  
267. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076810/q07681026.png ; $\alpha = \operatorname { lim } _ { t \rightarrow 0 } \frac { P ( e ( t ) \geq 1 ) } { t }$ ; confidence 0.819
+
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/c/c022/c022110/c02211060.png ; $\xi _ { 1 } ^ { 2 } + \ldots + \xi _ { k - m - 1 } ^ { 2 } + \mu _ { 1 } \xi _ { k - m } ^ { 2 } + \ldots + \mu _ { m } \xi _ { k - 1 } ^ { 2 }$ ; confidence 0.818
+
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/c/c026/c026430/c02643058.png ; $F [ f ^ { * } g ] = \sqrt { 2 \pi } F [ f ] F [ g ]$ ; confidence 0.818
+
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/d/d033/d033850/d0338502.png ; $x \square ^ { j }$ ; confidence 0.818
+
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/i/i051/i051150/i051150191.png ; $p ^ { t } ( . )$ ; confidence 0.817
+
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/l/l057/l057110/l0571105.png ; $\{ \phi _ { n } \} _ { n = 1 } ^ { \infty }$ ; confidence 0.817
+
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/r/r081/r081940/r08194033.png ; $G ( K ) \rightarrow G ( Q )$ ; confidence 0.817
+
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/a/a130/a130240/a130240312.png ; $SS _ { e } = \sum _ { i j k } ( y _ { i j k } - y _ { i j } ) ^ { 2 }$ ; confidence 0.817
+
274. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130530/s130530120.png ; $B N$ ; confidence 0.992
  
275. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012430/a01243088.png ; $f$ ; confidence 0.816
+
275. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a01160019.png ; $D \neq 1$ ; confidence 0.992
  
276. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017340/b01734046.png ; $t _ { 0 } \in \partial S$ ; confidence 0.816
+
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/s/s087/s087400/s087400105.png ; $\in \Theta _ { 0 } \beta _ { n } ( \theta ) \leq \alpha$ ; confidence 0.815
+
277. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b13030050.png ; $f ( m , n )$ ; confidence 0.992
  
278. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022038.png ; $S , T \in L ( X )$ ; confidence 0.814
+
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/a/a010/a010210/a01021089.png ; $A _ { k } = \int _ { a _ { k } } \omega _ { 1 } , \quad B _ { k } = \int _ { b _ { k } } \omega _ { 1 }$ ; confidence 0.814
+
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/n/n067/n067850/n067850200.png ; $\operatorname { tr } _ { \sigma } A$ ; confidence 0.814
+
280. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011390/a01139025.png ; $M ( G )$ ; confidence 0.992
  
281. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085210/s08521047.png ; $q ^ { 6 } ( q ^ { 2 } - 1 ) ( q ^ { 6 } - 1 )$ ; confidence 0.814
+
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/f/f120/f120090/f12009069.png ; $F \mu$ ; confidence 0.813
+
282. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210140.png ; $R ( z , w )$ ; confidence 0.991
  
283. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050910/i05091079.png ; $Y _ { n k }$ ; confidence 0.813
+
283. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002035.png ; $\varphi ( D ) = D g$ ; confidence 0.991
  
284. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072370/p07237025.png ; $\underline { H } \square _ { f }$ ; confidence 0.812
+
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/r/r077/r077380/r07738071.png ; $P \{ | \frac { K _ { n } } { n } - \frac { 1 } { 2 } | < \frac { 1 } { 4 } \} = 1 - 2 P \{ \frac { K _ { n } } { n } < \frac { 1 } { 4 } \} \approx 1 - \frac { 4 } { \pi } \frac { \pi } { 6 } = \frac { 1 } { 3 }$ ; confidence 0.812
+
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/a110/a110010/a11001028.png ; $k ( A ) = \| A ^ { - 1 } \| A \|$ ; confidence 0.811
+
286. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012022.png ; $0 < \rho < \infty$ ; confidence 0.991
  
287. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001035.png ; $SU ( 2 )$ ; confidence 0.811
+
287. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240361.png ; $H : \Theta = 0$ ; confidence 0.991
  
288. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064540/m0645406.png ; $m _ { G } = D ( u ) / 2 \pi$ ; confidence 0.811
+
288. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010760/a01076031.png ; $t \rightarrow \pm \infty$ ; confidence 0.991
  
289. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120070/q12007060.png ; $R _ { q ^ { 2 } }$ ; confidence 0.811
+
289. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004052.png ; $\lambda = [ L$ ; confidence 0.991
  
290. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081160/r08116074.png ; $t + \tau$ ; confidence 0.811
+
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/a/a110/a110010/a110010195.png ; $\| ( \hat { \lambda } I - A ) ^ { - 1 } \delta A \| > 1$ ; confidence 0.810
+
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/a/a110/a110010/a11001024.png ; $\delta x = A ^ { - 1 } ( - \delta A x - \delta A \delta x + \delta b )$ ; confidence 0.810
+
292. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010132.png ; $( A + \epsilon A _ { 1 } ) ^ { + }$ ; confidence 0.991
  
293. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011620/a01162010.png ; $f ( x ) - P _ { n } ^ { 0 } ( x )$ ; confidence 0.810
+
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/i/i051/i051430/i05143039.png ; $\hat { \phi } ( x ) = \lambda \sum _ { i = 1 } ^ { n } C _ { i } \alpha _ { i } ( x ) + f ( x )$ ; confidence 0.810
+
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/a130/a130240/a13024061.png ; $k = 1 , \ldots , K$ ; confidence 0.809
+
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/b/b130/b130030/b1300303.png ; $V ^ { \pm } \times V ^ { - } \times V ^ { \pm } \rightarrow V ^ { \pm }$ ; confidence 0.809
+
296. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052350/i05235059.png ; $t _ { i } = \phi _ { i }$ ; confidence 0.991
  
297. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110040/d1100407.png ; $S _ { p } ^ { n + p } ( c ) = \{ x \in R _ { p } ^ { n + p + 1 }$ ; confidence 0.809
+
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/d/d031/d031540/d03154015.png ; $G r$ ; confidence 0.809
+
298. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a11022049.png ; $( L , P )$ ; confidence 0.991
  
299. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076320/q07632017.png ; $j _ { X } : F ^ { \prime } \rightarrow F$ ; confidence 0.809
+
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/a/a110/a110010/a11001069.png ; $b$ ; confidence 0.809
+
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=43868