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(AUTOMATIC EDIT of page 53 out of 77 with 300 lines: Updated image/latex database (currently 22833 images latexified; order by Length, ascending: False.)
 
(AUTOMATIC EDIT of page 53 out of 77 with 300 lines: Updated image/latex database (currently 22833 images latexified; order by Confidence, ascending: False.)
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== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120060/l12006027.png ; $\phi \in H$ ; confidence 0.981
+
1. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007096.png ; $B _ { j } ( t , x , D _ { x } ) u = 0 , \text { on } [ 0 , T ] \times \partial \Omega , j = 1 , \ldots , m$ ; confidence 0.592
  
2. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120090/l12009076.png ; $\hbar \neq 0$ ; confidence 0.952
+
2. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120060/i12006023.png ; $L : X _ { P } \rightarrow Y _ { Q }$ ; confidence 0.592
  
3. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120090/l12009042.png ; $\Gamma ( T M )$ ; confidence 0.999
+
3. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120500/b12050052.png ; $X \in R$ ; confidence 0.592
  
4. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120100/l12010016.png ; $\gamma = 1 / 2$ ; confidence 0.993
+
4. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120240/d12024020.png ; $\mathfrak { g } ^ { * } / G$ ; confidence 0.592
  
5. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120100/l12010091.png ; $\gamma + n / 2$ ; confidence 0.991
+
5. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200172.png ; $r \in [ m + 1 , m + n ( 3 + \pi / k ) ]$ ; confidence 0.592
  
6. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120100/l12010012.png ; $\gamma > 1 / 2$ ; confidence 0.995
+
6. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510157.png ; $a < 3$ ; confidence 0.592
  
7. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023150/c023150276.png ; $p ^ { \prime }$ ; confidence 0.339
+
7. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120010/e12001048.png ; $( \text { Epi } , \text { Mono } ) =$ ; confidence 0.592
  
8. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130080/l1300803.png ; $p ( \hat { h } )$ ; confidence 0.253
+
8. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130100/l13010040.png ; $\tilde { f } : = F f$ ; confidence 0.592
  
9. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060040/l06004017.png ; $g _ { x , p } ( z )$ ; confidence 0.102
+
9. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120520/b12052084.png ; $s _ { N } = - B _ { N } ^ { - 1 } F ( x _ { N } ) =$ ; confidence 0.592
  
10. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060040/l06004010.png ; $f _ { k + 1 } ( z )$ ; confidence 0.999
+
10. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w12007089.png ; $\| e ^ { i \xi A } \| \leq C ( 1 + | \xi | ) ^ { s }$ ; confidence 0.592
  
11. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l12012021.png ; $F _ { p } ( ( t ) )$ ; confidence 0.976
+
11. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120140/b12014034.png ; $F _ { q } \cdot [ z ]$ ; confidence 0.592
  
12. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l120120161.png ; $p \in S _ { \| }$ ; confidence 0.270
+
12. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130230/m130230158.png ; $d _ { k } < 0$ ; confidence 0.592
  
13. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014120/a01412033.png ; $S ^ { \prime }$ ; confidence 0.538
+
13. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i13009040.png ; $U _ { 1 , p }$ ; confidence 0.592
  
14. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120130/l12013042.png ; $( X , 1 / f ( X ) )$ ; confidence 0.992
+
14. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130010/z13001073.png ; $z ^ { - k }$ ; confidence 0.591
  
15. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120160/l12016014.png ; $\Omega U ( n )$ ; confidence 1.000
+
15. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030240/d03024032.png ; $S ^ { ( r ) } ( f )$ ; confidence 0.591
  
16. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170265.png ; $H _ { 0 } ( B ) = Z$ ; confidence 0.781
+
16. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110380/a11038053.png ; $\infty$ ; confidence 0.591
  
17. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170198.png ; $\pi _ { N } ( K )$ ; confidence 0.317
+
17. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120050/k12005027.png ; $d _ { k } < 1$ ; confidence 0.591
  
18. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170109.png ; $p s - q r = \pm 1$ ; confidence 0.998
+
18. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130220/a13022048.png ; $S _ { C } = \operatorname { Mod } ( ? , C ) / E _ { C }$ ; confidence 0.591
  
19. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170264.png ; $H _ { 1 } ( B ) = 0$ ; confidence 0.998
+
19. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e12012043.png ; $i = 1 , \dots , M$ ; confidence 0.591
  
20. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120190/l12019034.png ; $\dot { x } = A x$ ; confidence 0.481
+
20. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091200/s09120032.png ; $p ( x ) = 1$ ; confidence 0.591
  
21. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120190/l12019046.png ; $X _ { A } ( t , z )$ ; confidence 0.995
+
21. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130030/b13003026.png ; $JBW ^ { * }$ ; confidence 0.591
  
22. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120010/m1200106.png ; $x , y \in D ( T )$ ; confidence 0.929
+
22. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120120/d12012055.png ; $d : G \rightarrow C$ ; confidence 0.591
  
23. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120010/m1200108.png ; $j \in J ( x - y )$ ; confidence 0.977
+
23. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120290/d12029041.png ; $\operatorname { gcd } ( p _ { 1 } , \dots , p _ { k } , q ) = 1$ ; confidence 0.591
  
24. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120010/m12001013.png ; $T + \lambda I$ ; confidence 0.960
+
24. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a1200607.png ; $j = 1 , \ldots , m$ ; confidence 0.591
  
25. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120030/m1200302.png ; $F _ { \theta }$ ; confidence 0.824
+
25. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h12012073.png ; $\pi ^ { \prime } = 1 _ { Y } - D ( \phi ^ { \prime } )$ ; confidence 0.591
  
26. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120030/m120030115.png ; $[ c , \infty )$ ; confidence 0.989
+
26. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120060/e12006022.png ; $\Gamma X$ ; confidence 0.591
  
27. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120030/m12003030.png ; $\Delta _ { y }$ ; confidence 0.261
+
27. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040149.png ; $\Lambda _ { S 5 } T$ ; confidence 0.591
  
28. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017360/b01736032.png ; $1 + \epsilon$ ; confidence 0.597
+
28. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w13009059.png ; $\Gamma ( H ) = \sum _ { n = 0 } ^ { \infty } H ^ { \otimes n }$ ; confidence 0.591
  
29. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044750/g0447504.png ; $( k \times k )$ ; confidence 0.993
+
29. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130190/m1301902.png ; $1 \subset C$ ; confidence 0.591
  
30. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120070/m12007066.png ; $c _ { 2 } ( s ) > 0$ ; confidence 0.962
+
30. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130280/b13028032.png ; $f * ( x _ { x } )$ ; confidence 0.591
  
31. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130030/m13003026.png ; $0 \mapsto 01$ ; confidence 0.992
+
31. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130650/s1306504.png ; $\Phi _ { n + 1 } ( z ) = z \Phi _ { n } ( z ) + \rho _ { n + 1 } \Phi _ { n } ^ { * } ( z )$ ; confidence 0.591
  
32. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130030/m13003027.png ; $1 \mapsto 10$ ; confidence 0.991
+
32. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120040/s12004011.png ; $\lambda = \operatorname { det } ( x _ { i } ^ { \lambda } )$ ; confidence 0.591
  
33. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120090/m12009064.png ; $P ^ { * } ( D )$ ; confidence 0.999
+
33. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130020/j13002059.png ; $P ( X \leq \lambda - t ) \leq \operatorname { exp } ( - \frac { \phi ( - t / \lambda ) \lambda ^ { 2 } } { \overline { \Delta } } ) \leq \operatorname { exp } ( - \frac { t ^ { 2 } } { 2 \overline { \Delta } } )$ ; confidence 0.591
  
34. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110250/c11025044.png ; $\Delta _ { y }$ ; confidence 0.580
+
34. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130590/s13059010.png ; $\Lambda _ { 2 m + 1 } = \Lambda - ( m + 1 ) , m$ ; confidence 0.591
  
35. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120100/m120100132.png ; $K ( \vec { G } )$ ; confidence 0.310
+
35. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120250/b1202502.png ; $B _ { K }$ ; confidence 0.591
  
36. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120100/m120100110.png ; $\epsilon + 1$ ; confidence 0.647
+
36. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120190/f1201905.png ; $H \cap g ^ { - 1 } H g = \{ 1 \}$ ; confidence 0.591
  
37. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062220/m06222088.png ; $\Gamma _ { t }$ ; confidence 0.605
+
37. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120050/g12005031.png ; $\mu _ { c }$ ; confidence 0.591
  
38. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062220/m06222073.png ; $x = x ( t , u , v )$ ; confidence 0.882
+
38. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130080/m13008031.png ; $f _ { X } ( y ) = f ( y - x )$ ; confidence 0.591
  
39. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062220/m0622208.png ; $\Omega ^ { j }$ ; confidence 0.711
+
39. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120290/s12029027.png ; $Y = Z$ ; confidence 0.590
  
40. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022530/c02253040.png ; $\pi _ { 1 } ( M )$ ; confidence 0.998
+
40. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s120230109.png ; $U \sim U _ { p , p }$ ; confidence 0.590
  
41. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120120/m120120127.png ; $Q = Q _ { F } ( R )$ ; confidence 0.551
+
41. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l120120189.png ; $V _ { \text { simp } } ( M ) \neq \emptyset$ ; confidence 0.590
  
42. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120120/m12012074.png ; $0 \neq q \in Q$ ; confidence 0.932
+
42. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011820/a01182081.png ; $M _ { 2 }$ ; confidence 0.590
  
43. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120120/m12012052.png ; $0 \neq q \in C$ ; confidence 0.644
+
43. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120040/i12004013.png ; $h _ { 1 } , \dots , h _ { 1 }$ ; confidence 0.590
  
44. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120120/m12012077.png ; $0 \neq A , B < R$ ; confidence 0.962
+
44. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z130110101.png ; $E \mu _ { N } ( x )$ ; confidence 0.590
  
45. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120120/m120120103.png ; $u ^ { - 1 } R u = R$ ; confidence 0.998
+
45. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r130070104.png ; $\| f \| _ { 1 } ^ { 2 } = \operatorname { lim } _ { n \rightarrow \infty } \| f _ { n } \| _ { 1 } ^ { 2 } =$ ; confidence 0.590
  
46. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120120/m12012041.png ; $Q = Q _ { 1 } ( R )$ ; confidence 0.772
+
46. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120260/s12026035.png ; $\partial _ { t } ^ { * }$ ; confidence 0.590
  
47. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120120/m12012030.png ; $I _ { q } \neq 0$ ; confidence 0.117
+
47. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120130/b12013063.png ; $\langle f , g \rangle = \int _ { D } f g d A$ ; confidence 0.590
  
48. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120120/m12012076.png ; $I q , q I \neq 0$ ; confidence 0.312
+
48. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120060/l12006032.png ; $= \frac { 1 } { z - E _ { 0 } } + \frac { 1 } { z - E _ { 0 } } \int _ { 0 } ^ { \infty } d \lambda ( V \phi | \lambda \rangle \langle \lambda | G ( z ) \phi )$ ; confidence 0.590
  
49. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120120/m12012037.png ; $Q _ { 1 } ( R ) = R$ ; confidence 0.739
+
49. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130020/s13002010.png ; $d u = \alpha \wedge d \alpha ^ { n - 1 }$ ; confidence 0.590
  
50. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130070/m13007014.png ; $s \in ( 1 / 2 ) Z$ ; confidence 0.947
+
50. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013095.png ; $12$ ; confidence 0.590
  
51. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130090/m13009013.png ; $( \phi , A ) = 0$ ; confidence 0.987
+
51. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120040/h12004040.png ; $G ( c , c )$ ; confidence 0.590
  
52. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130080/m13008024.png ; $[ 0 , \sigma ]$ ; confidence 1.000
+
52. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f12011082.png ; $H _ { \Omega } ^ { n } ( U , \tilde { O } )$ ; confidence 0.590
  
53. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130080/m13008017.png ; $p = ( 1,1,00 )$ ; confidence 1.000
+
53. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120030/m12003062.png ; $b \downarrow 0$ ; confidence 0.590
  
54. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130110/m130110128.png ; $\phi = v _ { i }$ ; confidence 0.961
+
54. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120010/q12001074.png ; $X \in C ^ { 0 }$ ; confidence 0.590
  
55. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120130/m1201305.png ; $d N / d t = f ( N )$ ; confidence 0.975
+
55. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130300/a13030034.png ; $\Theta ( T )$ ; confidence 0.590
  
56. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130130/m1301308.png ; $M = [ m _ { i j } ]$ ; confidence 0.989
+
56. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650234.png ; $d \in D$ ; confidence 0.590
  
57. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120150/m12015060.png ; $S > 0 , n \geq p$ ; confidence 0.861
+
57. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130060/b13006029.png ; $\lambda _ { 1 } , \dots , \lambda _ { n }$ ; confidence 0.590
  
58. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120160/m1201606.png ; $( p \times n )$ ; confidence 1.000
+
58. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i130030135.png ; $^ { c }$ ; confidence 0.590
  
59. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038060/f03806012.png ; $( p \times m )$ ; confidence 0.999
+
59. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025970/c02597037.png ; $\vec { t }$ ; confidence 0.589
  
60. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120160/m12016031.png ; $( q \times n )$ ; confidence 1.000
+
60. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130020/h13002046.png ; $( \alpha _ { 1 } , \dots , \alpha _ { q } )$ ; confidence 0.589
  
61. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120160/m12016033.png ; $( q \times q )$ ; confidence 0.999
+
61. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020107.png ; $\vec { c } ^ { 1 } k > 0$ ; confidence 0.589
  
62. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120190/m1201902.png ; $P _ { \nu } ( z )$ ; confidence 0.981
+
62. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130120/b13012048.png ; $- \pi , \pi$ ; confidence 0.589
  
63. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120190/m12019025.png ; $x , y , t \geq 1$ ; confidence 0.988
+
63. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130140/c13014035.png ; $R = \{ ( i , j ) : a _ { i } , j = 1 \}$ ; confidence 0.589
  
64. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110110/m11011025.png ; $p + q < 2 ( m + n )$ ; confidence 1.000
+
64. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120160/d12016070.png ; $F \subset L _ { 1 } ( S \times T )$ ; confidence 0.589
  
65. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120210/m1202108.png ; $K ^ { \gamma }$ ; confidence 0.267
+
65. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220230.png ; $j = 0$ ; confidence 0.589
  
66. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120210/m12021015.png ; $C ( S ^ { n - 1 } )$ ; confidence 0.978
+
66. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t12005024.png ; $x$ ; confidence 0.589
  
67. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130200/m13020048.png ; $T ^ { * } R ^ { 3 }$ ; confidence 0.951
+
67. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120310/b12031067.png ; $\hat { f } ( m ) = \int _ { T ^ { n } } f ( x ) e ^ { - 2 \pi i x m } d x$ ; confidence 0.589
  
68. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130230/m13023052.png ; $N _ { 1 } ( X / S )$ ; confidence 0.992
+
68. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130010/k1300106.png ; $\langle T _ { n } \rangle = ( - A ^ { 2 } - A ^ { - 2 } ) ^ { n - 1 }$ ; confidence 0.589
  
69. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047560/h04756024.png ; $U ^ { \prime }$ ; confidence 0.617
+
69. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120110/k1201106.png ; $t = ( t _ { j } )$ ; confidence 0.589
  
70. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120250/m12025047.png ; $L C ^ { k - 1 }$ ; confidence 0.734
+
70. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033340/d033340103.png ; $\gamma$ ; confidence 0.589
  
71. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m130260154.png ; $\| b \| \leq 1$ ; confidence 0.597
+
71. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o13006037.png ; $\mathfrak { V } ^ { \prime \prime } = ( A _ { 1 } ^ { \prime \prime } , A _ { 2 } ^ { \prime \prime } , H ^ { \prime \prime } , \Phi ^ { \prime \prime } , E , \sigma _ { 1 } , \sigma _ { 2 } , \gamma ^ { \prime \prime } , \tilde { \gamma } ^ { \prime \prime } )$ ; confidence 0.589
  
72. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m13026070.png ; $( a \lambda )$ ; confidence 0.950
+
72. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120030/c1200306.png ; $f : J \times G \rightarrow R ^ { m }$ ; confidence 0.589
  
73. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130180/m1301806.png ; $\mu ( x , y ) = 0$ ; confidence 0.992
+
73. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035000/e03500080.png ; $H _ { \epsilon } ^ { \prime } ( \xi ) = \operatorname { inf } \{ I ( \xi , \xi ^ { \prime } ) : \xi ^ { \prime } \in W _ { \epsilon } \}$ ; confidence 0.589
  
74. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130180/m130180160.png ; $| \mu ( 0,1 ) |$ ; confidence 0.802
+
74. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130050/d13005020.png ; $M ( 1 , m )$ ; confidence 0.589
  
75. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130180/m13018062.png ; $y \wedge x = 0$ ; confidence 0.995
+
75. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120050/q12005044.png ; $d ^ { k } = - \operatorname { grad } _ { H _ { k } ^ { - 1 } } f ( x ^ { k } )$ ; confidence 0.589
  
76. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130180/m130180120.png ; $\mu ( 0,1 ) + 1$ ; confidence 1.000
+
76. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007037.png ; $3 ^ { 2 } \cdot 5 ^ { 2 } \cdot 11,3 ^ { 5 } \cdot 5 ^ { 2 } \cdot 13,3 ^ { 4 } \cdot 5 ^ { 2 } \cdot 13 ^ { 2 } , 3 ^ { 3 } \cdot 5 ^ { 3 } \cdot 13 ^ { 2 }$ ; confidence 0.589
  
77. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130180/m1301808.png ; $\mu ( x , x ) = 1$ ; confidence 0.996
+
77. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120100/n12010028.png ; $( b _ { i } a _ { j } + b _ { j } a _ { j i } - b _ { i } b _ { j } ) _ { i , j = 1 } ^ { s }$ ; confidence 0.589
  
78. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023800/c02380029.png ; $\Sigma ^ { * }$ ; confidence 0.736
+
78. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d12002070.png ; $P ^ { \prime } \subseteq P$ ; confidence 0.589
  
79. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120120/n12012057.png ; $F ^ { 4 } \in N P$ ; confidence 0.945
+
79. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130110/m130110129.png ; $\frac { D v _ { i } } { D t } = \frac { \partial v _ { i } } { \partial t } + v _ { k } v _ { i } , k$ ; confidence 0.589
  
80. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120120/n12012040.png ; $P \subset N P$ ; confidence 0.928
+
80. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l05700052.png ; $( \lambda z ( x z ) ) [ x : = z z ] \equiv ( \lambda z ^ { \prime } \cdot ( x z ^ { \prime } ) ) [ x : = z z ] \equiv ( \lambda z ^ { \prime } ( ( z z ) z ^ { \prime } ) ) \not \equiv$ ; confidence 0.589
  
81. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120020/n12002015.png ; $\mu \in M ( E )$ ; confidence 0.991
+
81. https://www.encyclopediaofmath.org/legacyimages/y/y120/y120010/y12001020.png ; $\square _ { k }$ ; confidence 0.588
  
82. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120020/n12002020.png ; $\psi _ { \mu }$ ; confidence 0.964
+
82. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120080/t12008022.png ; $p _ { 1 } , \dots , p _ { s }$ ; confidence 0.588
  
83. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120020/n12002096.png ; $P ( m _ { 0 } , F )$ ; confidence 0.612
+
83. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120160/s1201609.png ; $U ^ { i } ( f ) = \sum _ { j = 1 } ^ { m _ { i } } f ( x _ { j } ^ { i } ) \cdot a _ { j } ^ { i }$ ; confidence 0.588
  
84. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011840/a01184034.png ; $\omega _ { y }$ ; confidence 0.468
+
84. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t13005078.png ; $\sigma ^ { \prime \prime }$ ; confidence 0.588
  
85. https://www.encyclopediaofmath.org/legacyimages/n/n130/n130040/n1300404.png ; $a ^ { n } b ^ { n }$ ; confidence 0.886
+
85. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b120150166.png ; $g : \Theta \rightarrow R$ ; confidence 0.588
  
86. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120060/n12006025.png ; $G ^ { \prime }$ ; confidence 0.470
+
86. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110020/b11002051.png ; $b : U \times U \rightarrow R$ ; confidence 0.588
  
87. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043300/g0433001.png ; $0 < x < \infty$ ; confidence 1.000
+
87. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130130/p13013010.png ; $M ( A _ { n } ) \cong \left\{ \begin{array} { l l } { Z _ { 2 } } & { \text { if } n \geq 4 , n \neq 6,7 } \\ { Z _ { 6 } } & { \text { if } n = 6,7 } \\ { \{ e \} } & { \text { if } n < 4 } \end{array} \right.$ ; confidence 0.588
  
88. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042070/f04207069.png ; $y ( 0 ) = y _ { 0 }$ ; confidence 0.868
+
88. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120210/w12021062.png ; $A _ { i } A _ { j } = A _ { j } A _ { i }$ ; confidence 0.588
  
89. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120100/n12010026.png ; $b _ { i } \geq 0$ ; confidence 0.972
+
89. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840256.png ; $c ( A ) \subset R \cup \{ \infty \}$ ; confidence 0.588
  
90. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120100/n12010016.png ; $y ( x _ { 0 } + h )$ ; confidence 0.980
+
90. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230146.png ; $d \pi _ { e } Z _ { e } = 0$ ; confidence 0.588
  
91. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120110/n12011020.png ; $( d / d x ) g ( x )$ ; confidence 0.931
+
91. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120280/d12028064.png ; $F ( t ) = F _ { \phi } ( f ) = \int _ { \partial D _ { m } } f ( z ) \phi ( w ) \omega ( z , w )$ ; confidence 0.588
  
92. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120110/n12011011.png ; $\xi ( x ) = 1$ ; confidence 0.999
+
92. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120310/c12031038.png ; $H _ { i j } ^ { k }$ ; confidence 0.588
  
93. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n06752018.png ; $F [ \lambda ]$ ; confidence 0.997
+
93. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f120110191.png ; $( \infty , 0 , \ldots , 0 )$ ; confidence 0.588
  
94. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520122.png ; $j \geq q + 1$ ; confidence 0.999
+
94. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120240/e120240130.png ; $c _ { l } \in H ^ { 1 } ( G ( \overline { Q } / Q ) ; \operatorname { Sym } ^ { 2 } T _ { p } ( E ) )$ ; confidence 0.588
  
95. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520135.png ; $\lambda E - A$ ; confidence 1.000
+
95. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130080/d130080105.png ; $F ^ { n } ( E _ { z } ( a , R ) ) \subset F _ { z } ( a , R )$ ; confidence 0.588
  
96. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520150.png ; $K [ \lambda ]$ ; confidence 0.985
+
96. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120020/c12002015.png ; $( W _ { u } f ) ( x , t ) = ( f ^ { * } u _ { t } ) ( x )$ ; confidence 0.588
  
97. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520303.png ; $A \simeq K$ ; confidence 0.550
+
97. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s13064011.png ; $[ \operatorname { log } a ] _ { k }$ ; confidence 0.588
  
98. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520309.png ; $( M , \sigma )$ ; confidence 0.992
+
98. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024036.png ; $N ( 0 , \Sigma )$ ; confidence 0.587
  
99. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059050/l05905024.png ; $B = C ^ { - 1 } A C$ ; confidence 0.999
+
99. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006070.png ; $T$ ; confidence 0.587
  
100. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110500/a11050055.png ; $\alpha \in K$ ; confidence 0.748
+
100. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067860/n06786012.png ; $S ^ { \prime } ( R ^ { n } )$ ; confidence 0.587
  
101. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520102.png ; $\lambda E - B$ ; confidence 1.000
+
101. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110173.png ; $a = J ^ { - 1 / 2 } b$ ; confidence 0.587
  
102. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n06752035.png ; $d _ { i } \neq 0$ ; confidence 0.536
+
102. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120090/f1200906.png ; $H ( C ^ { n } ) ^ { \prime }$ ; confidence 0.587
  
103. https://www.encyclopediaofmath.org/legacyimages/o/o110/o110010/o11001037.png ; $a _ { j } \neq e$ ; confidence 0.401
+
103. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022110/c0221102.png ; $\nu = ( \nu _ { 1 } , \dots , \nu _ { k } )$ ; confidence 0.587
  
104. https://www.encyclopediaofmath.org/legacyimages/o/o110/o110010/o11001042.png ; $\notin S ( x )$ ; confidence 0.805
+
104. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041320/f04132012.png ; $T _ { X } M$ ; confidence 0.587
  
105. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065140/m065140140.png ; $\theta _ { i }$ ; confidence 0.126
+
105. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240307.png ; $SS _ { H } = \| \hat { \eta } _ { \Omega } - \hat { \eta } _ { \omega } \| ^ { 2 }$ ; confidence 0.587
  
106. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o130010104.png ; $\beta _ { i j }$ ; confidence 0.994
+
106. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340154.png ; $x ( 0 ) \in L _ { - }$ ; confidence 0.587
  
107. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068080/o0680804.png ; $q _ { i } ( z , t )$ ; confidence 0.478
+
107. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130280/b13028038.png ; $B ( n ) = \Sigma ^ { n } D T ( n )$ ; confidence 0.587
  
108. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o130060173.png ; $v = u - i \Phi f$ ; confidence 0.892
+
108. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120280/a12028014.png ; $z \in T$ ; confidence 0.587
  
109. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o130060113.png ; $E ( \lambda )$ ; confidence 0.541
+
109. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120300/b12030061.png ; $\lambda _ { m } ( \eta )$ ; confidence 0.587
  
110. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110580/a11058043.png ; $\sigma _ { 1 }$ ; confidence 0.851
+
110. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120010/c120010133.png ; $\pi ( \zeta ) = \mu ( \frac { 1 } { ( 1 + \langle , \zeta \rangle ) } )$ ; confidence 0.587
  
111. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130080/o13008026.png ; $C _ { \psi }$ ; confidence 0.409
+
111. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090340.png ; $0 \leq i \in Z$ ; confidence 0.587
  
112. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130080/o13008063.png ; $f _ { 1 } ( x , k )$ ; confidence 0.962
+
112. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220196.png ; $X _ { Z }$ ; confidence 0.587
  
113. https://www.encyclopediaofmath.org/legacyimages/o/o120/o120050/o12005034.png ; $\Delta _ { 2 }$ ; confidence 0.857
+
113. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130110/b13011032.png ; $b _ { j } ^ { x }$ ; confidence 0.587
  
114. https://www.encyclopediaofmath.org/legacyimages/o/o120/o120050/o12005043.png ; $i ^ { \alpha }$ ; confidence 0.700
+
114. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130030/o13003053.png ; $P _ { 4 }$ ; confidence 0.587
  
115. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031380/d031380416.png ; $\hat { \Phi }$ ; confidence 0.329
+
115. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130070/p130070104.png ; $\operatorname { SPSH } ( \Omega \times \Omega )$ ; confidence 0.587
  
116. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120120/p12012039.png ; $( 3 \times 3 )$ ; confidence 1.000
+
116. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o1300605.png ; $\mathfrak { V } = ( A _ { 1 } , A _ { 2 } , H , \Phi , E , \sigma _ { 1 } , \sigma _ { 2 } , \gamma , \tilde { \gamma } )$ ; confidence 0.587
  
117. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120120/p1201207.png ; $g ^ { \prime }$ ; confidence 1.000
+
117. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130010/z13001021.png ; $k \in Z ^ { + }$ ; confidence 0.587
  
118. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120120/p12012038.png ; $( 6 \times 6 )$ ; confidence 1.000
+
118. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130050/v13005068.png ; $x _ { 0 } ^ { - 1 } \delta ( \frac { x _ { 1 } - x _ { 2 } } { x _ { 0 } } ) = \sum _ { n \in Z } \frac { ( x _ { 1 } - x _ { 2 } ) ^ { n } } { x _ { 0 } ^ { n + 1 } } =$ ; confidence 0.587
  
119. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120130/p12013039.png ; $S ^ { \prime }$ ; confidence 0.980
+
119. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180267.png ; $\otimes ^ { * } E$ ; confidence 0.587
  
120. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120130/p12013050.png ; $[ 1 , \infty )$ ; confidence 1.000
+
120. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120070/l12007025.png ; $r \geq | \lambda |$ ; confidence 0.587
  
121. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120130/p12013027.png ; $\theta \in S$ ; confidence 0.992
+
121. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110201.png ; $G _ { X } \leq C ( 1 + G _ { X } ^ { g } ( X - Y ) ) ^ { N } G _ { Y }$ ; confidence 0.586
  
122. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120130/p1201306.png ; $a _ { x } \neq 0$ ; confidence 0.734
+
122. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e12012036.png ; $h j \geq 0$ ; confidence 0.586
  
123. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g045090227.png ; $w \in \Omega$ ; confidence 0.791
+
123. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180507.png ; $\tilde { N } = N \times ( 0 , \infty ) \times ( - 1 , + 1 )$ ; confidence 0.586
  
124. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110400/c11040013.png ; $x \preceq h y$ ; confidence 0.955
+
124. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520440.png ; $\tilde { \xi }$ ; confidence 0.586
  
125. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130090/p1300905.png ; $B ( x _ { 0 } , r )$ ; confidence 0.993
+
125. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024021.png ; $E ( y ) = X \beta$ ; confidence 0.586
  
126. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057980/l05798033.png ; $\Gamma _ { f }$ ; confidence 0.692
+
126. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120190/e12019019.png ; $Q ( \alpha - b ) = Q ( c - d )$ ; confidence 0.586
  
127. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130100/p13010062.png ; $H _ { k } ( X , G )$ ; confidence 0.990
+
127. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006077.png ; $\left\{ \begin{array} { l } { \frac { d u } { d t } + A ( t , u ) u = f ( t , u ) , \quad t \in [ 0 , T ] } \\ { u ( 0 ) = u _ { 0 } } \end{array} \right.$ ; confidence 0.586
  
128. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130100/p13010066.png ; $\pi _ { k } ( X )$ ; confidence 0.669
+
128. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120270/b12027011.png ; $S _ { n } = \sum _ { 1 } ^ { n } X _ { i } \text { forn } \geq 1 , \text { and fort } \geq 0 , N ( t ) = k \text { if } S _ { k } \leq t < S _ { k + 1 } \text { for } k = 0,1$ ; confidence 0.586
  
129. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130100/p130100114.png ; $\pi = \gamma$ ; confidence 0.318
+
129. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130160/c130160162.png ; $B P P$ ; confidence 0.586
  
130. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130100/p13010055.png ; $H ^ { p } ( K , C )$ ; confidence 0.949
+
130. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240164.png ; $\eta = E ( y )$ ; confidence 0.586
  
131. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120150/p12015042.png ; $R ^ { \gamma }$ ; confidence 0.217
+
131. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110121.png ; $\sigma _ { X _ { 0 } , \xi _ { 0 } }$ ; confidence 0.586
  
132. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130120/p13012019.png ; $K \geq ( 5,2 )$ ; confidence 0.992
+
132. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b13029035.png ; $\operatorname { dim } A _ { \mathfrak { p } } = \operatorname { dim } A - \operatorname { dim } A / \mathfrak { p }$ ; confidence 0.586
  
133. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057630/l05763058.png ; $\alpha \in P$ ; confidence 0.339
+
133. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200155.png ; $\alpha \in \Pi ^ { im }$ ; confidence 0.586
  
134. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017078.png ; $1 < p < \infty$ ; confidence 0.995
+
134. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014190/a01419022.png ; $c \in R$ ; confidence 0.586
  
135. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130020/q1300204.png ; $| \hat { i } \}$ ; confidence 0.121
+
135. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040243.png ; $K ( \varphi ) \approx L ( \varphi ) = \{ \kappa _ { j } ( \varphi ) \approx \lambda _ { j } ( \varphi ) : j \in J \}$ ; confidence 0.585
  
136. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130020/q13002012.png ; $U | i \rangle$ ; confidence 0.684
+
136. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006042.png ; $N > Z$ ; confidence 0.585
  
137. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120010/q12001072.png ; $c ^ { 0 } \neq 0$ ; confidence 0.279
+
137. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130530/s13053032.png ; $\{ e u : u \in U \}$ ; confidence 0.585
  
138. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130030/q13003028.png ; $( 4 \times 4 )$ ; confidence 1.000
+
138. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a1301802.png ; $( L )$ ; confidence 0.585
  
139. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016049.png ; $\alpha _ { k }$ ; confidence 0.652
+
139. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m130140146.png ; $d t = d t _ { 2 } \wedge \ldots \wedge d t _ { n }$ ; confidence 0.585
  
140. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016150/b01615048.png ; $\gamma _ { k }$ ; confidence 0.897
+
140. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130010/b130010100.png ; $\operatorname { Sp } ( 2 n , R )$ ; confidence 0.585
  
141. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120070/q12007084.png ; $\{ f ^ { i x } \}$ ; confidence 0.194
+
141. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120190/e120190102.png ; $d : S \times S \rightarrow R$ ; confidence 0.585
  
142. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120070/q12007053.png ; $C [ [ \hbar ] ]$ ; confidence 0.384
+
142. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b12022065.png ; $H ( , \xi ) : D _ { \xi } \rightarrow R$ ; confidence 0.585
  
143. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059050/l05905046.png ; $\delta ^ { 2 }$ ; confidence 0.999
+
143. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012980/a012980100.png ; $n = 1,2 , \dots$ ; confidence 0.585
  
144. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017030/b017030110.png ; $\Omega ^ { x }$ ; confidence 0.521
+
144. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130110/d13011040.png ; $s _ { j } \in C _ { j }$ ; confidence 0.585
  
145. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130050/r13005012.png ; $( G , \Omega )$ ; confidence 0.999
+
145. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066960/n06696027.png ; $P \{ X - Y \geq s \} = F _ { 2 s } ( x ; \lambda )$ ; confidence 0.585
  
146. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130050/r13005036.png ; $a ^ { g } \neq a$ ; confidence 0.406
+
146. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023090.png ; $( x , y , y ^ { \prime } , \dots , y ^ { ( k ) } )$ ; confidence 0.585
  
147. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130050/r13005044.png ; $1 \neq g \in G$ ; confidence 0.992
+
147. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057020/l05702066.png ; $H _ { l } ^ { i } ( \overline { X } ) = H ^ { i } ( X , Z _ { l } ) \otimes Q _ { l }$ ; confidence 0.585
  
148. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r13007029.png ; $\lambda j > 0$ ; confidence 0.569
+
148. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013069.png ; $\tau ( t ) = ( \tau _ { l } ( t ) ) _ { l \in Z }$ ; confidence 0.585
  
149. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020420/c0204203.png ; $E \times E$ ; confidence 0.999
+
149. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120100/f12010088.png ; $g = \left( \begin{array} { c c } { A } & { B } \\ { C } & { D } \end{array} \right)$ ; confidence 0.585
  
150. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r130070130.png ; $K ( x , y ) \in H$ ; confidence 0.988
+
150. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170103.png ; $K ^ { 2 } / K ^ { 2 } \times I \searrow p t$ ; confidence 0.585
  
151. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r130070176.png ; $R ( L ) = H _ { K }$ ; confidence 0.886
+
151. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120160/f12016048.png ; $\chi \lambda I - T$ ; confidence 0.585
  
152. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r13007070.png ; $( f , f ) \geq 0$ ; confidence 0.992
+
152. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w130090106.png ; $g _ { n } \in L ^ { 2 } ( [ 0,1 ] ^ { n } )$ ; confidence 0.585
  
153. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r130070122.png ; $h ( t , x ) \in H$ ; confidence 0.997
+
153. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015540/b01554015.png ; $z = 0$ ; confidence 0.585
  
154. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r13007056.png ; $u = A ^ { 1 / 2 } v$ ; confidence 0.997
+
154. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040113.png ; $a + 1$ ; confidence 0.585
  
155. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110340/a1103408.png ; $\theta _ { i }$ ; confidence 0.393
+
155. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120080/f120080194.png ; $A ( R )$ ; confidence 0.585
  
156. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081430/r081430201.png ; $\Gamma _ { A }$ ; confidence 0.998
+
156. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120260/s12026022.png ; $D _ { t } ^ { * }$ ; confidence 0.585
  
157. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130100/r13010095.png ; $E _ { \theta }$ ; confidence 0.289
+
157. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120020/c1200207.png ; $v _ { t } ( x ) = t ^ { - x } v ( x / t )$ ; confidence 0.585
  
158. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130100/r13010048.png ; $( i , \alpha )$ ; confidence 0.922
+
158. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120040/l12004076.png ; $u _ { i } ^ { n + 1 } = \frac { 1 } { 2 } ( u _ { i } ^ { n } + \hat { a } _ { i } ^ { + } ) + \frac { 1 } { 2 } \frac { \Delta t } { \Delta x } ( \hat { f } _ { i - 1 } ^ { + } - \hat { f } _ { i } ^ { + } )$ ; confidence 0.584
  
159. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032890/d03289086.png ; $0 < \sigma < 1$ ; confidence 1.000
+
159. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120310/b12031069.png ; $\operatorname { lim } _ { R } S _ { R } ^ { \delta } f ( x ) = f ( x )$ ; confidence 0.584
  
160. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130130/r13013023.png ; $X = M \oplus L$ ; confidence 0.903
+
160. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046020/h04602041.png ; $| \Delta P ( i \omega ) |$ ; confidence 0.584
  
161. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130130/r13013018.png ; $P _ { \sigma }$ ; confidence 0.762
+
161. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120310/c12031049.png ; $n ( \epsilon , F _ { \phi } ) \leq \kappa , d , \epsilon ^ { - 2 }$ ; confidence 0.584
  
162. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130140/r13014016.png ; $N ( \lambda )$ ; confidence 0.972
+
162. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006038.png ; $\rho _ { N } ^ { TF }$ ; confidence 0.584
  
163. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042060/f04206043.png ; $F ( \lambda )$ ; confidence 0.999
+
163. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120040/k12004035.png ; $( a , x ) - \Lambda _ { D _ { - } } ^ { * } ( a , x ) = x ( \Lambda _ { D _ { 0 } } ^ { * } ( a , x ) - \Lambda _ { D _ { \infty } } ^ { * } ( a , x ) )$ ; confidence 0.584
  
164. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082320/r08232048.png ; $H ^ { \delta }$ ; confidence 0.990
+
164. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120290/c1202906.png ; $M \rightarrow \operatorname { Aut } ( M )$ ; confidence 0.584
  
165. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082320/r08232074.png ; $\alpha = d + e$ ; confidence 0.567
+
165. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023015.png ; $y = ( y ^ { 1 } , \dots , y ^ { m } )$ ; confidence 0.584
  
166. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082320/r08232068.png ; $a , b \leq d , e$ ; confidence 0.828
+
166. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120040/b120040125.png ; $\| f _ { n } \| \rightarrow \| f \|$ ; confidence 0.584
  
167. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024850/c024850208.png ; $X _ { \alpha }$ ; confidence 0.184
+
167. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120260/e12026090.png ; $\mu _ { p }$ ; confidence 0.584
  
168. https://www.encyclopediaofmath.org/legacyimages/r/r120/r120020/r12002013.png ; $J ( q ) ^ { T }$ ; confidence 0.999
+
168. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130080/o13008065.png ; $I _ { 1 } ( k ) = \frac { f _ { 1 } ^ { \prime } ( 0 , k ) } { f _ { 1 } ( k ) } = \frac { f _ { 2 } ^ { \prime } ( 0 , k ) } { f _ { 2 } ( k ) } = h _ { 2 } ( k )$ ; confidence 0.584
  
169. https://www.encyclopediaofmath.org/legacyimages/r/r120/r120020/r12002011.png ; $f ( \dot { q } )$ ; confidence 1.000
+
169. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i13009025.png ; $\cup _ { n \geq 0 } k ( \mu _ { p } n )$ ; confidence 0.584
  
170. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130160/r1301609.png ; $\Gamma \in S$ ; confidence 0.988
+
170. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130280/a13028019.png ; $a = 1$ ; confidence 0.584
  
171. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130020/s13002029.png ; $Q \subset U M$ ; confidence 0.997
+
171. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012077.png ; $\langle x _ { t } , y _ { t } , c _ { t } \rangle$ ; confidence 0.584
  
172. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130020/s13002040.png ; $g _ { t } ( u )$ ; confidence 0.987
+
172. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014082.png ; $q _ { B } ( v ) \geq 0$ ; confidence 0.584
  
173. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130020/s13002044.png ; $u = g _ { t } ( v )$ ; confidence 0.953
+
173. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240509.png ; $E [ Z _ { 32 } , Z _ { 33 } ] = 0$ ; confidence 0.584
  
174. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120020/s1200204.png ; $L ( ; 0 ) = f ( . )$ ; confidence 0.925
+
174. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e13003019.png ; $\Gamma \subset SL _ { 2 } ( Z )$ ; confidence 0.584
  
175. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130110/s13011020.png ; $f _ { s _ { i } w }$ ; confidence 0.654
+
175. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w1300807.png ; $u ( x , t ) = U = f _ { g } ( \theta _ { 1 } , \ldots , \theta _ { g } )$ ; confidence 0.584
  
176. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a01160082.png ; $k ^ { \prime }$ ; confidence 0.819
+
176. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b12015063.png ; $d ^ { * } : \{ 0,1 \} ^ { n } \rightarrow R$ ; confidence 0.584
  
177. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120050/s12005071.png ; $K _ { S } ( w , z )$ ; confidence 0.649
+
177. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023064.png ; $= \sum _ { i = 0 } ^ { p - 1 } L ( x _ { i } ) L ^ { * } ( x _ { i } ) - \sum _ { i = 0 } ^ { q - 1 } L ( y _ { i } ) L ^ { * } ( y _ { i } )$ ; confidence 0.584
  
178. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130340/s1303403.png ; $S _ { 2 } ( M ; q )$ ; confidence 0.978
+
178. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i13009041.png ; $k _ { p }$ ; confidence 0.584
  
179. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130360/s13036015.png ; $Y _ { t } \geq 0$ ; confidence 0.997
+
179. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110268.png ; $S ( m , \sigma _ { l } )$ ; confidence 0.584
  
180. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130370/s13037029.png ; $D [ 0,1 ] ^ { k }$ ; confidence 0.997
+
180. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s13064062.png ; $W _ { \tau } ( k )$ ; confidence 0.583
  
181. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012060/a0120607.png ; $m ^ { \prime }$ ; confidence 0.828
+
181. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120500/b12050053.png ; $\{ 1 ( T , x ) : x \in R \}$ ; confidence 0.583
  
182. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120160/s12016018.png ; $e ( U ^ { i } , f )$ ; confidence 0.999
+
182. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650460.png ; $D$ ; confidence 0.583
  
183. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120170/s12017057.png ; $y \geq x ^ { x }$ ; confidence 0.324
+
183. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130070/t13007035.png ; $\theta ( t ) - t = \frac { 1 } { 2 \pi } P.V. \int _ { 0 } ^ { 2 \pi } \operatorname { log } \rho ( \theta ( s ) ) \operatorname { cot } \frac { t - s } { 2 } d s$ ; confidence 0.583
  
184. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120170/s12017041.png ; $w _ { i } \geq 0$ ; confidence 0.959
+
184. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d12002014.png ; $g ( u _ { 1 } )$ ; confidence 0.583
  
185. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130440/s13044017.png ; $D D X \simeq X$ ; confidence 0.991
+
185. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w13008064.png ; $t m$ ; confidence 0.583
  
186. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130440/s13044021.png ; $X \mapsto D X$ ; confidence 0.990
+
186. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120360/b12036016.png ; $p _ { x } , p _ { y } , p _ { z }$ ; confidence 0.583
  
187. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130440/s13044020.png ; $E ^ { - k } ( D X )$ ; confidence 0.866
+
187. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030270/d03027035.png ; $K _ { n , p } ( t ) = \frac { 1 } { p + 1 } \sum _ { k = n - p } ^ { n } D _ { k } ( t ) =$ ; confidence 0.583
  
188. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120220/s12022037.png ; $t \searrow 0$ ; confidence 0.641
+
188. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840322.png ; $U ( 0 ) = I _ { n }$ ; confidence 0.583
  
189. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120220/s12022024.png ; $( M , \Delta )$ ; confidence 0.998
+
189. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074520/p0745206.png ; $A \subset P$ ; confidence 0.583
  
190. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120210/s12021018.png ; $\Delta ^ { p }$ ; confidence 0.990
+
190. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240108.png ; $y _ { i } = \alpha + \beta t _ { i } + \gamma t ^ { 2 } + e _ { i }$ ; confidence 0.583
  
191. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130500/s13050017.png ; $F _ { l } \neq 0$ ; confidence 0.732
+
191. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f12021093.png ; $\frac { \partial u } { \partial \lambda } ( z , \lambda _ { 1 } ) = ( \operatorname { log } z ) z ^ { \lambda _ { 1 } }$ ; confidence 0.583
  
192. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s120230136.png ; $n _ { i } \geq p$ ; confidence 0.981
+
192. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a120160113.png ; $x _ { i }$ ; confidence 0.583
  
193. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s120230156.png ; $k ( A _ { i } ) = n$ ; confidence 0.354
+
193. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120070/e120070107.png ; $\hat { H } ^ { 1 } ( \Gamma , k , v ; P ( k ) )$ ; confidence 0.583
  
194. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s12023099.png ; $X = G \wedge H$ ; confidence 0.635
+
194. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120240/f12024028.png ; $\dot { x } ( t - g _ { 1 } ( t ) ) , \ldots , \dot { x } ( t - g ( t ) ) )$ ; confidence 0.583
  
195. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s120230101.png ; $H \in O ( p , n )$ ; confidence 0.998
+
195. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130020/i13002049.png ; $x = ( x _ { 1 } , \dots , x _ { m } ) ^ { T }$ ; confidence 0.583
  
196. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s1305107.png ; $S \neq Z ^ { 0 }$ ; confidence 0.988
+
196. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120020/e120020116.png ; $S ^ { 1 } \vee \ldots \vee S ^ { 1 }$ ; confidence 0.583
  
197. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510140.png ; $L \neq Z ^ { 0 }$ ; confidence 0.975
+
197. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130010/l13001026.png ; $L ^ { 1 } ( T ^ { n } )$ ; confidence 0.583
  
198. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510158.png ; $d _ { 011 } < < 2$ ; confidence 0.345
+
198. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b12022053.png ; $21$ ; confidence 0.583
  
199. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510113.png ; $k = 1 < \infty$ ; confidence 0.994
+
199. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130230/m130230100.png ; $d ^ { t }$ ; confidence 0.582
  
200. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130530/s13053086.png ; $a _ { i } \geq 1$ ; confidence 0.663
+
200. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097590/w09759021.png ; $rd ( D )$ ; confidence 0.582
  
201. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130530/s13053089.png ; $H _ { r - 1 } ( C )$ ; confidence 0.962
+
201. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110263.png ; $a ^ { w } : H ( m m _ { 1 } , G ) \rightarrow H ( m _ { 1 } , G )$ ; confidence 0.582
  
202. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054048.png ; $\alpha + b = 1$ ; confidence 0.864
+
202. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b12015058.png ; $\operatorname { lim } _ { n \rightarrow \infty } E _ { P } [ ( d _ { n } ^ { * } - d ^ { * } ) ^ { 2 } ] = 0$ ; confidence 0.582
  
203. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058050/l05805010.png ; $x \in [ - 1,1 ]$ ; confidence 0.987
+
203. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120240/m1202407.png ; $( \psi [ 1 ] \varphi ) y = \varphi ^ { 2 } ( \psi \varphi ^ { - 1 } ) y$ ; confidence 0.582
  
204. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120260/s12026024.png ; $\Gamma ^ { + }$ ; confidence 0.958
+
204. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080172.png ; $\omega ^ { 0 } = \int \Sigma _ { g } \langle \delta A , \delta \overline { A } \rangle$ ; confidence 0.582
  
205. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130590/s13059036.png ; $Q _ { 0 } ( z ) = 1$ ; confidence 0.976
+
205. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040592.png ; $S _ { P }$ ; confidence 0.582
  
206. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120280/s12028027.png ; $\{ \ldots \}$ ; confidence 0.521
+
206. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o130060126.png ; $p ( \lambda _ { 1 } , \lambda _ { 2 } ) = ( f ( \lambda _ { 1 } , \lambda _ { 2 } ) ) ^ { r }$ ; confidence 0.582
  
207. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130620/s130620127.png ; $L ^ { 2 } ( 0 , N )$ ; confidence 0.999
+
207. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012018.png ; $B = 1$ ; confidence 0.582
  
208. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130620/s13062095.png ; $q ( x ) = x ^ { 2 }$ ; confidence 0.993
+
208. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120360/b12036034.png ; $\epsilon ( \alpha , b , c , d )$ ; confidence 0.582
  
209. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130620/s130620181.png ; $q ( x ) = q _ { n }$ ; confidence 0.867
+
209. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b130300105.png ; $n > 10 ^ { 10 }$ ; confidence 0.582
  
210. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130620/s13062082.png ; $f ( \lambda )$ ; confidence 1.000
+
210. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120070/g12007036.png ; $z _ { m + 1 } ^ { \pi }$ ; confidence 0.582
  
211. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110660/a11066072.png ; $1 ^ { \infty }$ ; confidence 0.568
+
211. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240169.png ; $\beta = 0$ ; confidence 0.582
  
212. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s120320110.png ; $T \in L ( p | q )$ ; confidence 0.997
+
212. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130070/i1300703.png ; $\operatorname { lim } _ { r \rightarrow \infty } \int _ { x = r } | \frac { \partial v } { \partial r } - i k v | ^ { 2 } d s = 0$ ; confidence 0.581
  
213. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120330/s12033030.png ; $2 ^ { 4 } 3 ^ { 6 }$ ; confidence 0.180
+
213. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001011.png ; $12$ ; confidence 0.581
  
214. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120330/s12033013.png ; $( 111,11,1 )$ ; confidence 1.000
+
214. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120140/p12014013.png ; $\theta = \theta ( a _ { 0 } , a _ { 1 } ) > 1$ ; confidence 0.581
  
215. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s12034030.png ; $H ^ { * } ( M ; Z )$ ; confidence 0.972
+
215. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020193.png ; $( t ^ { * } ) ^ { - 1 } \circ ( t - r ) ^ { * } \beta _ { 1 } = k \beta _ { 2 }$ ; confidence 0.581
  
216. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s12034034.png ; $H ^ { * } ( L ; Z )$ ; confidence 0.976
+
216. https://www.encyclopediaofmath.org/legacyimages/n/n130/n130050/n13005022.png ; $r \leq s \mu$ ; confidence 0.581
  
217. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040980/f0409807.png ; $H _ { 2 } ( M ; Z )$ ; confidence 0.823
+
217. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055070/k0550707.png ; $H ^ { \prime } ( M , C ) \cong \oplus _ { p + q = r } H ^ { p , q } ( M )$ ; confidence 0.581
  
218. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110700/a11070077.png ; $\alpha _ { H }$ ; confidence 0.892
+
218. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050256.png ; $P _ { C } ^ { \# } ( n )$ ; confidence 0.581
  
219. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340106.png ; $X - = ( x - , u - )$ ; confidence 0.187
+
219. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130050/z13005011.png ; $\delta ( a b ) = a \delta ( b ) + b \delta ( \alpha )$ ; confidence 0.581
  
220. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s12034059.png ; $c _ { 1 } ( A ) = 0$ ; confidence 1.000
+
220. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120080/f12008092.png ; $M A ( G )$ ; confidence 0.581
  
221. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065530/m0655301.png ; $[ - \pi , \pi )$ ; confidence 1.000
+
221. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130500/s13050010.png ; $\left( \begin{array} { c } { [ n ] } \\ { ( n + 1 ) / 2 } \end{array} \right)$ ; confidence 0.581
  
222. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130650/s13065013.png ; $L ^ { 2 } ( \mu )$ ; confidence 0.994
+
222. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120080/i12008091.png ; $F = - k _ { B } T \operatorname { ln } \lambda _ { + } =$ ; confidence 0.581
  
223. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130650/s1306506.png ; $\Phi _ { 0 } = 1$ ; confidence 0.996
+
223. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120090/l12009060.png ; $T _ { p }$ ; confidence 0.580
  
224. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130650/s13065029.png ; $H ^ { 2 } ( \mu )$ ; confidence 1.000
+
224. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020194.png ; $\underline { y } = g ( \overline { u } _ { 1 } )$ ; confidence 0.580
  
225. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130040/t13004017.png ; $a _ { y } = \tau$ ; confidence 0.764
+
225. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040657.png ; $h ( F _ { S _ { P } } \mathfrak { M } ^ { * } L ) = F _ { S _ { P } } \mathfrak { N } ^ { * } L$ ; confidence 0.580
  
226. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130040/t1300407.png ; $j a j + a j - 1 = 0$ ; confidence 0.914
+
226. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v09690080.png ; $S \in A ^ { + }$ ; confidence 0.580
  
227. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t13005080.png ; $\sigma _ { y }$ ; confidence 0.396
+
227. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010120.png ; $b _ { 2 } ( s ) \leq 1$ ; confidence 0.580
  
228. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t130050103.png ; $\sigma _ { r }$ ; confidence 0.738
+
228. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120050/l12005018.png ; $f ( x ) = \operatorname { lim } _ { N \rightarrow \infty } \frac { 4 } { \pi ^ { 2 } } \int _ { 0 } ^ { N } \operatorname { cosh } ( \pi \tau ) \operatorname { Im } K _ { 1 / 2 + i \tau } ( x ) F ( \tau ) d \tau$ ; confidence 0.580
  
229. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044340/g044340181.png ; $E ^ { \prime }$ ; confidence 0.810
+
229. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130060/k13006029.png ; $\left( \begin{array} { c } { a _ { k } } \\ { k } \end{array} \right) \leq m$ ; confidence 0.580
  
230. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130070/t1300705.png ; $\rho ( \tau )$ ; confidence 1.000
+
230. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200227.png ; $\phi ( z ) = z ^ { k } + a _ { 1 } z ^ { k - 1 } + \ldots + a _ { k }$ ; confidence 0.580
  
231. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t1200506.png ; $C ^ { \infty }$ ; confidence 0.864
+
231. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110250/c11025044.png ; $\Delta _ { y }$ ; confidence 0.580
  
232. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t120050109.png ; $\Sigma ^ { 2 }$ ; confidence 0.692
+
232. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009060.png ; $h ( z ) = 1 + c _ { 1 } z + c _ { 2 } z ^ { 2 } + \ldots$ ; confidence 0.580
  
233. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072890/p07289018.png ; $( n \times p )$ ; confidence 0.999
+
233. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130100/c13010023.png ; $a 0 = 0$ ; confidence 0.580
  
234. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006041.png ; $N = \int \rho$ ; confidence 0.923
+
234. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130040/e13004047.png ; $\vec { x } \vec { v }$ ; confidence 0.580
  
235. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006092.png ; $N = \lambda Z$ ; confidence 0.948
+
235. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120100/n12010029.png ; $c _ { i } \neq c _ { j }$ ; confidence 0.580
  
236. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t120060144.png ; $B \sim Z ^ { 3 }$ ; confidence 0.984
+
236. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010840/a01084010.png ; $A ^ { x }$ ; confidence 0.580
  
237. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006029.png ; $\int \rho = N$ ; confidence 1.000
+
237. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120190/c12019014.png ; $n d ( D )$ ; confidence 0.580
  
238. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t120060116.png ; $E ^ { Q } ( N )$ ; confidence 0.962
+
238. https://www.encyclopediaofmath.org/legacyimages/o/o120/o120050/o12005056.png ; $u ^ { q }$ ; confidence 0.580
  
239. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006049.png ; $\mu = \mu ( N )$ ; confidence 0.996
+
239. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130020/m13002068.png ; $T P ^ { 1 }$ ; confidence 0.579
  
240. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130100/t13010034.png ; $T \otimes B -$ ; confidence 0.662
+
240. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120080/f12008091.png ; $= \| M$ ; confidence 0.579
  
241. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014073.png ; $v \in N ^ { Q } 0$ ; confidence 0.576
+
241. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110180/d11018016.png ; $e ^ { \xi ( u ) } = 1 + u \xi ( u )$ ; confidence 0.579
  
242. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t130140127.png ; $q _ { R } ( v ) > 0$ ; confidence 0.993
+
242. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130050/h1300506.png ; $u ( x , 0 ) = u 0 ( x )$ ; confidence 0.579
  
243. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120130/t12013079.png ; $\dot { y } = A x$ ; confidence 0.997
+
243. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120260/s12026068.png ; $\Omega = ( 1,0,0 , \dots )$ ; confidence 0.579
  
244. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120130/t12013011.png ; $g ( S _ { 1 } ) = I$ ; confidence 0.773
+
244. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220229.png ; $CH ^ { i } ( X , j )$ ; confidence 0.579
  
245. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120130/t12013049.png ; $\tau _ { 0 } = 1$ ; confidence 0.998
+
245. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200123.png ; $\geq \frac { 1 } { 8 } ( \frac { n - 1 } { 8 e ( m + n ) } ) ^ { n } \operatorname { min } | b _ { 1 } + \ldots + b _ { j } |$ ; confidence 0.579
  
246. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120140/t120140117.png ; $T _ { \phi } = -$ ; confidence 0.988
+
246. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w13008050.png ; $T _ { m } = \epsilon t _ { m }$ ; confidence 0.579
  
247. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076320/q07632050.png ; $A ^ { \prime }$ ; confidence 0.973
+
247. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006034.png ; $u ( t ) = e ^ { - t A } u _ { 0 } + \int _ { 0 } ^ { t } e ^ { - ( t - s ) A } f ( s ) d s$ ; confidence 0.579
  
248. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021640/c0216407.png ; $\alpha \in C$ ; confidence 0.981
+
248. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120050/s120050114.png ; $B ( z ) = C \prod _ { j = 1 } ^ { \kappa } \frac { z - \alpha j } { 1 - \overline { \alpha } j z }$ ; confidence 0.579
  
249. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120150/t1201504.png ; $( \xi | \eta )$ ; confidence 0.997
+
249. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g13006032.png ; $x = [ x _ { 1 } \ldots x _ { n } ] ^ { T }$ ; confidence 0.579
  
250. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120150/t12015044.png ; $\xi \in D ( S )$ ; confidence 0.982
+
250. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110020/l11002067.png ; $| x \vee y | \preceq | x | \vee | y | \preceq | x | | y |$ ; confidence 0.579
  
251. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130210/t1302109.png ; $u ( b ) = u _ { b }$ ; confidence 0.655
+
251. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g13006042.png ; $\sum _ { j = 1 } ^ { n } a _ { i , j } x _ { j } = \lambda x _ { i }$ ; confidence 0.579
  
252. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130210/t13021052.png ; $2 / ( 3 N / 2 )$ ; confidence 0.990
+
252. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130100/z13010070.png ; $\{ 0 , \{ 0 \} , \{ 0 , \{ 0 \} \} \}$ ; confidence 0.579
  
253. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015680/b01568010.png ; $n \geq n _ { 0 }$ ; confidence 0.660
+
253. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130020/h13002031.png ; $N = N ( q , r ) \in N$ ; confidence 0.578
  
254. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t12020072.png ; $j | z _ { j } | = 1$ ; confidence 0.982
+
254. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120060/i12006042.png ; $\operatorname { succ } ( x ) = \{ y : x < p y \}$ ; confidence 0.578
  
255. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t12020061.png ; $M _ { 1 } ( k ) = 1$ ; confidence 0.995
+
255. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130110/v13011028.png ; $\Phi ( z ) = - \frac { i \Gamma } { 2 \pi } \operatorname { log } [ \prod _ { m = - \infty } ^ { \infty } ( z - ( z _ { 0 } - m l ) ) ] =$ ; confidence 0.578
  
256. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013590/a01359026.png ; $\delta _ { 1 }$ ; confidence 0.994
+
256. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130110/m130110130.png ; $\frac { D v } { D t } = \frac { \partial v } { \partial t } + ( v . \nabla ) v$ ; confidence 0.578
  
257. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046900/h04690014.png ; $\delta _ { 2 }$ ; confidence 0.985
+
257. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130010/f13001042.png ; $O ^ { \sim } ( n )$ ; confidence 0.578
  
258. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t12020062.png ; $M _ { 2 } ( k ) = 1$ ; confidence 0.992
+
258. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130020/k13002012.png ; $y _ { j } > y _ { k }$ ; confidence 0.578
  
259. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092810/t092810205.png ; $\beta ( M )$ ; confidence 0.995
+
259. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t12005088.png ; $( p - n + i _ { 1 } ) \cdot \mu _ { i _ { 1 } , \dots , i _ { r } } - ( i _ { 1 } - i _ { 2 } ) \cdot \mu _ { i _ { 2 } , \dots , i _ { r } }$ ; confidence 0.578
  
260. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120210/t12021072.png ; $h _ { 1 , h } ( x )$ ; confidence 0.250
+
260. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120020/n12002034.png ; $\mu ^ { \prime } ( d x ) = \operatorname { exp } ( \alpha , x ) \mu ( d x )$ ; confidence 0.578
  
261. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096030/v0960309.png ; $\tau = t / \mu$ ; confidence 0.974
+
261. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120440/b12044091.png ; $h \in G$ ; confidence 0.578
  
262. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130050/v13005077.png ; $\omega \in V$ ; confidence 0.979
+
262. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130020/b13002049.png ; $0$ ; confidence 0.578
  
263. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130050/v130050110.png ; $u _ { n } ( w ) = 0$ ; confidence 0.991
+
263. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b120400105.png ; $\varrho = e ^ { p } : B \rightarrow C ^ { * }$ ; confidence 0.578
  
264. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130050/v130050124.png ; $x _ { 2 } ^ { - 1 }$ ; confidence 0.999
+
264. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120040/s120040117.png ; $1 , \dots , | \lambda |$ ; confidence 0.578
  
265. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020118.png ; $( p * , q ^ { * } )$ ; confidence 0.530
+
265. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120240/f12024026.png ; $\dot { x } ( t ) = f ( t , x ( t - h _ { 1 } ( t ) ) , \ldots , x ( t - h _ { k } ( t ) ) )$ ; confidence 0.578
  
266. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020226.png ; $\Phi x = x - F x$ ; confidence 0.793
+
266. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b12042028.png ; $( C , \otimes , \Phi , \underline { 1 } , l , r )$ ; confidence 0.578
  
267. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i05023059.png ; $1 < m \leq n$ ; confidence 0.737
+
267. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h12012072.png ; $\pi = 1 y - D ( \phi )$ ; confidence 0.578
  
268. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130070/v13007028.png ; $V = \lambda U$ ; confidence 0.999
+
268. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120160/b1201607.png ; $p _ { i k } , j = p _ { k i } , j$ ; confidence 0.578
  
269. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130070/v13007041.png ; $w = \phi _ { 0 }$ ; confidence 0.824
+
269. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040456.png ; $h ( \psi _ { 0 } ) , \ldots , h ( \psi _ { n } - 1 ) \in F$ ; confidence 0.578
  
270. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900131.png ; $P _ { 1 } \leq P$ ; confidence 0.997
+
270. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120070/t120070105.png ; $1 _ { x } = 0$ ; confidence 0.578
  
271. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900130.png ; $P _ { 1 } \sim P$ ; confidence 0.997
+
271. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130340/s13034047.png ; $S l _ { 2 } ( C )$ ; confidence 0.578
  
272. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v09690048.png ; $B = U A U ^ { - 1 }$ ; confidence 0.999
+
272. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054085.png ; $\{ . . \} p$ ; confidence 0.577
  
273. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900126.png ; $P _ { 1 } \leq Q$ ; confidence 0.997
+
273. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110100/b110100180.png ; $\{ 1 , \ldots , n \}$ ; confidence 0.577
  
274. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900122.png ; $Q = U U ^ { * }$ ; confidence 0.977
+
274. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z13011056.png ; $\frac { 1 } { n } G _ { p , n } \stackrel { \omega } { \rightarrow } G$ ; confidence 0.577
  
275. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120060/v1200607.png ; $B _ { 1 } = - 1 / 2$ ; confidence 0.999
+
275. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017056.png ; $N _ { \epsilon } ^ { \prime }$ ; confidence 0.577
  
276. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120030/w12003031.png ; $P _ { \mu } = Id$ ; confidence 0.836
+
276. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130160/f13016043.png ; $\mu _ { R } ( M ) \leq$ ; confidence 0.577
  
277. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030110/d03011069.png ; $L _ { 1 } ( \mu )$ ; confidence 0.967
+
277. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120050/s12005075.png ; $V = \left( \begin{array} { l l } { T } & { F } \\ { G } & { H } \end{array} \right)$ ; confidence 0.577
  
278. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120030/w12003010.png ; $L _ { 2 } ( \mu )$ ; confidence 0.973
+
278. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016056.png ; $S _ { t } = c _ { 0 } + c _ { 1 } u _ { t } + c _ { 1 } \lambda u _ { t - 1 } + c _ { 1 } \lambda ^ { 2 } u _ { t - 2 } + \ldots + \mu _ { t }$ ; confidence 0.577
  
279. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120030/w12003089.png ; $1 _ { \infty }$ ; confidence 0.767
+
279. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c120210135.png ; $\{ P _ { x } , \theta \}$ ; confidence 0.577
  
280. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120030/w12003057.png ; $[ 0 , \omega ]$ ; confidence 0.817
+
280. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130050/q1300509.png ; $QS ( R )$ ; confidence 0.577
  
281. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120010/w12001039.png ; $W _ { \infty }$ ; confidence 0.754
+
281. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054065.png ; $\Delta ^ { 2 } F$ ; confidence 0.577
  
282. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120020/w12002037.png ; $l _ { p } ( P , Q )$ ; confidence 0.302
+
282. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w1200704.png ; $g : R ^ { 2 n } \rightarrow R$ ; confidence 0.577
  
283. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120020/w12002010.png ; $I _ { 1 } ( P , Q )$ ; confidence 0.308
+
283. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024060.png ; $A _ { i }$ ; confidence 0.577
  
284. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085790/s0857908.png ; $\omega _ { j }$ ; confidence 0.479
+
284. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b1102207.png ; $i = 0,1 , \ldots$ ; confidence 0.577
  
285. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097590/w09759042.png ; $\square ( A )$ ; confidence 0.999
+
285. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120080/k12008031.png ; $\lambda : R ^ { n } \rightarrow R ^ { q }$ ; confidence 0.577
  
286. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097590/w0975906.png ; $H ^ { 1 } ( k , A )$ ; confidence 1.000
+
286. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020234.png ; $v _ { N A } = v ^ { * }$ ; confidence 0.577
  
287. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120050/w12005029.png ; $D = R [ x ] / D$ ; confidence 0.968
+
287. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180495.png ; $= \hat { N }$ ; confidence 0.576
  
288. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081490/r08149043.png ; $V ( \lambda )$ ; confidence 0.999
+
288. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040037.png ; $\pi ( g \times ^ { Q } f ) = g H$ ; confidence 0.576
  
289. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047800/h04780047.png ; $H _ { \gamma }$ ; confidence 0.309
+
289. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014073.png ; $v \in N ^ { Q } 0$ ; confidence 0.576
  
290. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090304.png ; $W ( \lambda )$ ; confidence 0.999
+
290. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130040/z13004022.png ; $K _ { 7 } , 7$ ; confidence 0.576
  
291. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032890/d03289090.png ; $\Lambda ( n )$ ; confidence 0.993
+
291. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130010/m13001021.png ; $c : X \rightarrow \{ 0,1 \}$ ; confidence 0.576
  
292. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090260.png ; $1 = | \Sigma |$ ; confidence 0.794
+
292. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200106.png ; $1 = | z _ { 1 } | \geq \ldots \geq | z _ { x } |$ ; confidence 0.576
  
293. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090322.png ; $\Lambda ( V )$ ; confidence 0.977
+
293. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120120/m12012079.png ; $g : B _ { R } \rightarrow R _ { R }$ ; confidence 0.576
  
294. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090340.png ; $0 \leq i \in Z$ ; confidence 0.587
+
294. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035000/e035000117.png ; $H _ { \epsilon } ^ { \prime \prime } \leq H _ { \epsilon / 2 }$ ; confidence 0.576
  
295. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w12009024.png ; $0 \leq r \in Z$ ; confidence 0.380
+
295. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006045.png ; $\rho \frac { T } { Z }$ ; confidence 0.576
  
296. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110180/m11018028.png ; $\Delta ^ { + }$ ; confidence 0.844
+
296. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120050/q12005066.png ; $H _ { new } = H - \frac { H y y ^ { T } H } { y ^ { T } H y } + \frac { s s ^ { T } } { s ^ { T } y } + \phi . w v ^ { T }$ ; confidence 0.576
  
297. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067280/n06728054.png ; $M ( \lambda )$ ; confidence 0.999
+
297. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130150/t13015027.png ; $( T _ { f } ) = \operatorname { dim } \operatorname { Ker } T _ { f } - \operatorname { dim } \text { Coker } T _ { f }$ ; confidence 0.576
  
298. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090271.png ; $e w - e i + 1 i + 1$ ; confidence 0.210
+
298. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130220/m13022036.png ; $V _ { 1 } = \rho _ { 1 } \oplus \rho _ { 1 } 96883$ ; confidence 0.576
  
299. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090360.png ; $G _ { K } ( V ) = G$ ; confidence 0.998
+
299. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r130080125.png ; $( u , v ) + = \int _ { D } \int _ { D } B ( x , y ) u ( y ) \overline { v ( x ) } d y d x \text { if } H _ { 0 } = L ^ { 2 } ( D )$ ; confidence 0.576
  
300. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074020/p07402071.png ; $1 , \ldots , r$ ; confidence 0.698
+
300. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120130/d12013022.png ; $f ( X ) = X ^ { q ^ { n } } + \sum _ { i = 0 } ^ { n - 1 } ( - 1 ) ^ { n - i } c _ { n , i } X ^ { q ^ { i } } \in K [ X ]$ ; confidence 0.576

Revision as of 00:10, 13 February 2020

List

1. a12007096.png ; $B _ { j } ( t , x , D _ { x } ) u = 0 , \text { on } [ 0 , T ] \times \partial \Omega , j = 1 , \ldots , m$ ; confidence 0.592

2. i12006023.png ; $L : X _ { P } \rightarrow Y _ { Q }$ ; confidence 0.592

3. b12050052.png ; $X \in R$ ; confidence 0.592

4. d12024020.png ; $\mathfrak { g } ^ { * } / G$ ; confidence 0.592

5. t120200172.png ; $r \in [ m + 1 , m + n ( 3 + \pi / k ) ]$ ; confidence 0.592

6. s130510157.png ; $a < 3$ ; confidence 0.592

7. e12001048.png ; $( \text { Epi } , \text { Mono } ) =$ ; confidence 0.592

8. l13010040.png ; $\tilde { f } : = F f$ ; confidence 0.592

9. b12052084.png ; $s _ { N } = - B _ { N } ^ { - 1 } F ( x _ { N } ) =$ ; confidence 0.592

10. w12007089.png ; $\| e ^ { i \xi A } \| \leq C ( 1 + | \xi | ) ^ { s }$ ; confidence 0.592

11. b12014034.png ; $F _ { q } \cdot [ z ]$ ; confidence 0.592

12. m130230158.png ; $d _ { k } < 0$ ; confidence 0.592

13. i13009040.png ; $U _ { 1 , p }$ ; confidence 0.592

14. z13001073.png ; $z ^ { - k }$ ; confidence 0.591

15. d03024032.png ; $S ^ { ( r ) } ( f )$ ; confidence 0.591

16. a11038053.png ; $\infty$ ; confidence 0.591

17. k12005027.png ; $d _ { k } < 1$ ; confidence 0.591

18. a13022048.png ; $S _ { C } = \operatorname { Mod } ( ? , C ) / E _ { C }$ ; confidence 0.591

19. e12012043.png ; $i = 1 , \dots , M$ ; confidence 0.591

20. s09120032.png ; $p ( x ) = 1$ ; confidence 0.591

21. b13003026.png ; $JBW ^ { * }$ ; confidence 0.591

22. d12012055.png ; $d : G \rightarrow C$ ; confidence 0.591

23. d12029041.png ; $\operatorname { gcd } ( p _ { 1 } , \dots , p _ { k } , q ) = 1$ ; confidence 0.591

24. a1200607.png ; $j = 1 , \ldots , m$ ; confidence 0.591

25. h12012073.png ; $\pi ^ { \prime } = 1 _ { Y } - D ( \phi ^ { \prime } )$ ; confidence 0.591

26. e12006022.png ; $\Gamma X$ ; confidence 0.591

27. a130040149.png ; $\Lambda _ { S 5 } T$ ; confidence 0.591

28. w13009059.png ; $\Gamma ( H ) = \sum _ { n = 0 } ^ { \infty } H ^ { \otimes n }$ ; confidence 0.591

29. m1301902.png ; $1 \subset C$ ; confidence 0.591

30. b13028032.png ; $f * ( x _ { x } )$ ; confidence 0.591

31. s1306504.png ; $\Phi _ { n + 1 } ( z ) = z \Phi _ { n } ( z ) + \rho _ { n + 1 } \Phi _ { n } ^ { * } ( z )$ ; confidence 0.591

32. s12004011.png ; $\lambda = \operatorname { det } ( x _ { i } ^ { \lambda } )$ ; confidence 0.591

33. j13002059.png ; $P ( X \leq \lambda - t ) \leq \operatorname { exp } ( - \frac { \phi ( - t / \lambda ) \lambda ^ { 2 } } { \overline { \Delta } } ) \leq \operatorname { exp } ( - \frac { t ^ { 2 } } { 2 \overline { \Delta } } )$ ; confidence 0.591

34. s13059010.png ; $\Lambda _ { 2 m + 1 } = \Lambda - ( m + 1 ) , m$ ; confidence 0.591

35. b1202502.png ; $B _ { K }$ ; confidence 0.591

36. f1201905.png ; $H \cap g ^ { - 1 } H g = \{ 1 \}$ ; confidence 0.591

37. g12005031.png ; $\mu _ { c }$ ; confidence 0.591

38. m13008031.png ; $f _ { X } ( y ) = f ( y - x )$ ; confidence 0.591

39. s12029027.png ; $Y = Z$ ; confidence 0.590

40. s120230109.png ; $U \sim U _ { p , p }$ ; confidence 0.590

41. l120120189.png ; $V _ { \text { simp } } ( M ) \neq \emptyset$ ; confidence 0.590

42. a01182081.png ; $M _ { 2 }$ ; confidence 0.590

43. i12004013.png ; $h _ { 1 } , \dots , h _ { 1 }$ ; confidence 0.590

44. z130110101.png ; $E \mu _ { N } ( x )$ ; confidence 0.590

45. r130070104.png ; $\| f \| _ { 1 } ^ { 2 } = \operatorname { lim } _ { n \rightarrow \infty } \| f _ { n } \| _ { 1 } ^ { 2 } =$ ; confidence 0.590

46. s12026035.png ; $\partial _ { t } ^ { * }$ ; confidence 0.590

47. b12013063.png ; $\langle f , g \rangle = \int _ { D } f g d A$ ; confidence 0.590

48. l12006032.png ; $= \frac { 1 } { z - E _ { 0 } } + \frac { 1 } { z - E _ { 0 } } \int _ { 0 } ^ { \infty } d \lambda ( V \phi | \lambda \rangle \langle \lambda | G ( z ) \phi )$ ; confidence 0.590

49. s13002010.png ; $d u = \alpha \wedge d \alpha ^ { n - 1 }$ ; confidence 0.590

50. a13013095.png ; $12$ ; confidence 0.590

51. h12004040.png ; $G ( c , c )$ ; confidence 0.590

52. f12011082.png ; $H _ { \Omega } ^ { n } ( U , \tilde { O } )$ ; confidence 0.590

53. m12003062.png ; $b \downarrow 0$ ; confidence 0.590

54. q12001074.png ; $X \in C ^ { 0 }$ ; confidence 0.590

55. a13030034.png ; $\Theta ( T )$ ; confidence 0.590

56. a011650234.png ; $d \in D$ ; confidence 0.590

57. b13006029.png ; $\lambda _ { 1 } , \dots , \lambda _ { n }$ ; confidence 0.590

58. i130030135.png ; $^ { c }$ ; confidence 0.590

59. c02597037.png ; $\vec { t }$ ; confidence 0.589

60. h13002046.png ; $( \alpha _ { 1 } , \dots , \alpha _ { q } )$ ; confidence 0.589

61. d120020107.png ; $\vec { c } ^ { 1 } k > 0$ ; confidence 0.589

62. b13012048.png ; $- \pi , \pi$ ; confidence 0.589

63. c13014035.png ; $R = \{ ( i , j ) : a _ { i } , j = 1 \}$ ; confidence 0.589

64. d12016070.png ; $F \subset L _ { 1 } ( S \times T )$ ; confidence 0.589

65. b110220230.png ; $j = 0$ ; confidence 0.589

66. t12005024.png ; $x$ ; confidence 0.589

67. b12031067.png ; $\hat { f } ( m ) = \int _ { T ^ { n } } f ( x ) e ^ { - 2 \pi i x m } d x$ ; confidence 0.589

68. k1300106.png ; $\langle T _ { n } \rangle = ( - A ^ { 2 } - A ^ { - 2 } ) ^ { n - 1 }$ ; confidence 0.589

69. k1201106.png ; $t = ( t _ { j } )$ ; confidence 0.589

70. d033340103.png ; $\gamma$ ; confidence 0.589

71. o13006037.png ; $\mathfrak { V } ^ { \prime \prime } = ( A _ { 1 } ^ { \prime \prime } , A _ { 2 } ^ { \prime \prime } , H ^ { \prime \prime } , \Phi ^ { \prime \prime } , E , \sigma _ { 1 } , \sigma _ { 2 } , \gamma ^ { \prime \prime } , \tilde { \gamma } ^ { \prime \prime } )$ ; confidence 0.589

72. c1200306.png ; $f : J \times G \rightarrow R ^ { m }$ ; confidence 0.589

73. e03500080.png ; $H _ { \epsilon } ^ { \prime } ( \xi ) = \operatorname { inf } \{ I ( \xi , \xi ^ { \prime } ) : \xi ^ { \prime } \in W _ { \epsilon } \}$ ; confidence 0.589

74. d13005020.png ; $M ( 1 , m )$ ; confidence 0.589

75. q12005044.png ; $d ^ { k } = - \operatorname { grad } _ { H _ { k } ^ { - 1 } } f ( x ^ { k } )$ ; confidence 0.589

76. a13007037.png ; $3 ^ { 2 } \cdot 5 ^ { 2 } \cdot 11,3 ^ { 5 } \cdot 5 ^ { 2 } \cdot 13,3 ^ { 4 } \cdot 5 ^ { 2 } \cdot 13 ^ { 2 } , 3 ^ { 3 } \cdot 5 ^ { 3 } \cdot 13 ^ { 2 }$ ; confidence 0.589

77. n12010028.png ; $( b _ { i } a _ { j } + b _ { j } a _ { j i } - b _ { i } b _ { j } ) _ { i , j = 1 } ^ { s }$ ; confidence 0.589

78. d12002070.png ; $P ^ { \prime } \subseteq P$ ; confidence 0.589

79. m130110129.png ; $\frac { D v _ { i } } { D t } = \frac { \partial v _ { i } } { \partial t } + v _ { k } v _ { i } , k$ ; confidence 0.589

80. l05700052.png ; $( \lambda z ( x z ) ) [ x : = z z ] \equiv ( \lambda z ^ { \prime } \cdot ( x z ^ { \prime } ) ) [ x : = z z ] \equiv ( \lambda z ^ { \prime } ( ( z z ) z ^ { \prime } ) ) \not \equiv$ ; confidence 0.589

81. y12001020.png ; $\square _ { k }$ ; confidence 0.588

82. t12008022.png ; $p _ { 1 } , \dots , p _ { s }$ ; confidence 0.588

83. s1201609.png ; $U ^ { i } ( f ) = \sum _ { j = 1 } ^ { m _ { i } } f ( x _ { j } ^ { i } ) \cdot a _ { j } ^ { i }$ ; confidence 0.588

84. t13005078.png ; $\sigma ^ { \prime \prime }$ ; confidence 0.588

85. b120150166.png ; $g : \Theta \rightarrow R$ ; confidence 0.588

86. b11002051.png ; $b : U \times U \rightarrow R$ ; confidence 0.588

87. p13013010.png ; $M ( A _ { n } ) \cong \left\{ \begin{array} { l l } { Z _ { 2 } } & { \text { if } n \geq 4 , n \neq 6,7 } \\ { Z _ { 6 } } & { \text { if } n = 6,7 } \\ { \{ e \} } & { \text { if } n < 4 } \end{array} \right.$ ; confidence 0.588

88. w12021062.png ; $A _ { i } A _ { j } = A _ { j } A _ { i }$ ; confidence 0.588

89. k055840256.png ; $c ( A ) \subset R \cup \{ \infty \}$ ; confidence 0.588

90. e120230146.png ; $d \pi _ { e } Z _ { e } = 0$ ; confidence 0.588

91. d12028064.png ; $F ( t ) = F _ { \phi } ( f ) = \int _ { \partial D _ { m } } f ( z ) \phi ( w ) \omega ( z , w )$ ; confidence 0.588

92. c12031038.png ; $H _ { i j } ^ { k }$ ; confidence 0.588

93. f120110191.png ; $( \infty , 0 , \ldots , 0 )$ ; confidence 0.588

94. e120240130.png ; $c _ { l } \in H ^ { 1 } ( G ( \overline { Q } / Q ) ; \operatorname { Sym } ^ { 2 } T _ { p } ( E ) )$ ; confidence 0.588

95. d130080105.png ; $F ^ { n } ( E _ { z } ( a , R ) ) \subset F _ { z } ( a , R )$ ; confidence 0.588

96. c12002015.png ; $( W _ { u } f ) ( x , t ) = ( f ^ { * } u _ { t } ) ( x )$ ; confidence 0.588

97. s13064011.png ; $[ \operatorname { log } a ] _ { k }$ ; confidence 0.588

98. a13024036.png ; $N ( 0 , \Sigma )$ ; confidence 0.587

99. d13006070.png ; $T$ ; confidence 0.587

100. n06786012.png ; $S ^ { \prime } ( R ^ { n } )$ ; confidence 0.587

101. w120110173.png ; $a = J ^ { - 1 / 2 } b$ ; confidence 0.587

102. f1200906.png ; $H ( C ^ { n } ) ^ { \prime }$ ; confidence 0.587

103. c0221102.png ; $\nu = ( \nu _ { 1 } , \dots , \nu _ { k } )$ ; confidence 0.587

104. f04132012.png ; $T _ { X } M$ ; confidence 0.587

105. a130240307.png ; $SS _ { H } = \| \hat { \eta } _ { \Omega } - \hat { \eta } _ { \omega } \| ^ { 2 }$ ; confidence 0.587

106. s120340154.png ; $x ( 0 ) \in L _ { - }$ ; confidence 0.587

107. b13028038.png ; $B ( n ) = \Sigma ^ { n } D T ( n )$ ; confidence 0.587

108. a12028014.png ; $z \in T$ ; confidence 0.587

109. b12030061.png ; $\lambda _ { m } ( \eta )$ ; confidence 0.587

110. c120010133.png ; $\pi ( \zeta ) = \mu ( \frac { 1 } { ( 1 + \langle , \zeta \rangle ) } )$ ; confidence 0.587

111. w120090340.png ; $0 \leq i \in Z$ ; confidence 0.587

112. b110220196.png ; $X _ { Z }$ ; confidence 0.587

113. b13011032.png ; $b _ { j } ^ { x }$ ; confidence 0.587

114. o13003053.png ; $P _ { 4 }$ ; confidence 0.587

115. p130070104.png ; $\operatorname { SPSH } ( \Omega \times \Omega )$ ; confidence 0.587

116. o1300605.png ; $\mathfrak { V } = ( A _ { 1 } , A _ { 2 } , H , \Phi , E , \sigma _ { 1 } , \sigma _ { 2 } , \gamma , \tilde { \gamma } )$ ; confidence 0.587

117. z13001021.png ; $k \in Z ^ { + }$ ; confidence 0.587

118. v13005068.png ; $x _ { 0 } ^ { - 1 } \delta ( \frac { x _ { 1 } - x _ { 2 } } { x _ { 0 } } ) = \sum _ { n \in Z } \frac { ( x _ { 1 } - x _ { 2 } ) ^ { n } } { x _ { 0 } ^ { n + 1 } } =$ ; confidence 0.587

119. c120180267.png ; $\otimes ^ { * } E$ ; confidence 0.587

120. l12007025.png ; $r \geq | \lambda |$ ; confidence 0.587

121. w120110201.png ; $G _ { X } \leq C ( 1 + G _ { X } ^ { g } ( X - Y ) ) ^ { N } G _ { Y }$ ; confidence 0.586

122. e12012036.png ; $h j \geq 0$ ; confidence 0.586

123. c120180507.png ; $\tilde { N } = N \times ( 0 , \infty ) \times ( - 1 , + 1 )$ ; confidence 0.586

124. n067520440.png ; $\tilde { \xi }$ ; confidence 0.586

125. a13024021.png ; $E ( y ) = X \beta$ ; confidence 0.586

126. e12019019.png ; $Q ( \alpha - b ) = Q ( c - d )$ ; confidence 0.586

127. a12006077.png ; $\left\{ \begin{array} { l } { \frac { d u } { d t } + A ( t , u ) u = f ( t , u ) , \quad t \in [ 0 , T ] } \\ { u ( 0 ) = u _ { 0 } } \end{array} \right.$ ; confidence 0.586

128. b12027011.png ; $S _ { n } = \sum _ { 1 } ^ { n } X _ { i } \text { forn } \geq 1 , \text { and fort } \geq 0 , N ( t ) = k \text { if } S _ { k } \leq t < S _ { k + 1 } \text { for } k = 0,1$ ; confidence 0.586

129. c130160162.png ; $B P P$ ; confidence 0.586

130. a130240164.png ; $\eta = E ( y )$ ; confidence 0.586

131. w120110121.png ; $\sigma _ { X _ { 0 } , \xi _ { 0 } }$ ; confidence 0.586

132. b13029035.png ; $\operatorname { dim } A _ { \mathfrak { p } } = \operatorname { dim } A - \operatorname { dim } A / \mathfrak { p }$ ; confidence 0.586

133. b130200155.png ; $\alpha \in \Pi ^ { im }$ ; confidence 0.586

134. a01419022.png ; $c \in R$ ; confidence 0.586

135. a130040243.png ; $K ( \varphi ) \approx L ( \varphi ) = \{ \kappa _ { j } ( \varphi ) \approx \lambda _ { j } ( \varphi ) : j \in J \}$ ; confidence 0.585

136. t12006042.png ; $N > Z$ ; confidence 0.585

137. s13053032.png ; $\{ e u : u \in U \}$ ; confidence 0.585

138. a1301802.png ; $( L )$ ; confidence 0.585

139. m130140146.png ; $d t = d t _ { 2 } \wedge \ldots \wedge d t _ { n }$ ; confidence 0.585

140. b130010100.png ; $\operatorname { Sp } ( 2 n , R )$ ; confidence 0.585

141. e120190102.png ; $d : S \times S \rightarrow R$ ; confidence 0.585

142. b12022065.png ; $H ( , \xi ) : D _ { \xi } \rightarrow R$ ; confidence 0.585

143. a012980100.png ; $n = 1,2 , \dots$ ; confidence 0.585

144. d13011040.png ; $s _ { j } \in C _ { j }$ ; confidence 0.585

145. n06696027.png ; $P \{ X - Y \geq s \} = F _ { 2 s } ( x ; \lambda )$ ; confidence 0.585

146. e12023090.png ; $( x , y , y ^ { \prime } , \dots , y ^ { ( k ) } )$ ; confidence 0.585

147. l05702066.png ; $H _ { l } ^ { i } ( \overline { X } ) = H ^ { i } ( X , Z _ { l } ) \otimes Q _ { l }$ ; confidence 0.585

148. a13013069.png ; $\tau ( t ) = ( \tau _ { l } ( t ) ) _ { l \in Z }$ ; confidence 0.585

149. f12010088.png ; $g = \left( \begin{array} { c c } { A } & { B } \\ { C } & { D } \end{array} \right)$ ; confidence 0.585

150. l120170103.png ; $K ^ { 2 } / K ^ { 2 } \times I \searrow p t$ ; confidence 0.585

151. f12016048.png ; $\chi \lambda I - T$ ; confidence 0.585

152. w130090106.png ; $g _ { n } \in L ^ { 2 } ( [ 0,1 ] ^ { n } )$ ; confidence 0.585

153. b01554015.png ; $z = 0$ ; confidence 0.585

154. a110040113.png ; $a + 1$ ; confidence 0.585

155. f120080194.png ; $A ( R )$ ; confidence 0.585

156. s12026022.png ; $D _ { t } ^ { * }$ ; confidence 0.585

157. c1200207.png ; $v _ { t } ( x ) = t ^ { - x } v ( x / t )$ ; confidence 0.585

158. l12004076.png ; $u _ { i } ^ { n + 1 } = \frac { 1 } { 2 } ( u _ { i } ^ { n } + \hat { a } _ { i } ^ { + } ) + \frac { 1 } { 2 } \frac { \Delta t } { \Delta x } ( \hat { f } _ { i - 1 } ^ { + } - \hat { f } _ { i } ^ { + } )$ ; confidence 0.584

159. b12031069.png ; $\operatorname { lim } _ { R } S _ { R } ^ { \delta } f ( x ) = f ( x )$ ; confidence 0.584

160. h04602041.png ; $| \Delta P ( i \omega ) |$ ; confidence 0.584

161. c12031049.png ; $n ( \epsilon , F _ { \phi } ) \leq \kappa , d , \epsilon ^ { - 2 }$ ; confidence 0.584

162. t12006038.png ; $\rho _ { N } ^ { TF }$ ; confidence 0.584

163. k12004035.png ; $( a , x ) - \Lambda _ { D _ { - } } ^ { * } ( a , x ) = x ( \Lambda _ { D _ { 0 } } ^ { * } ( a , x ) - \Lambda _ { D _ { \infty } } ^ { * } ( a , x ) )$ ; confidence 0.584

164. c1202906.png ; $M \rightarrow \operatorname { Aut } ( M )$ ; confidence 0.584

165. e12023015.png ; $y = ( y ^ { 1 } , \dots , y ^ { m } )$ ; confidence 0.584

166. b120040125.png ; $\| f _ { n } \| \rightarrow \| f \|$ ; confidence 0.584

167. e12026090.png ; $\mu _ { p }$ ; confidence 0.584

168. o13008065.png ; $I _ { 1 } ( k ) = \frac { f _ { 1 } ^ { \prime } ( 0 , k ) } { f _ { 1 } ( k ) } = \frac { f _ { 2 } ^ { \prime } ( 0 , k ) } { f _ { 2 } ( k ) } = h _ { 2 } ( k )$ ; confidence 0.584

169. i13009025.png ; $\cup _ { n \geq 0 } k ( \mu _ { p } n )$ ; confidence 0.584

170. a13028019.png ; $a = 1$ ; confidence 0.584

171. a12012077.png ; $\langle x _ { t } , y _ { t } , c _ { t } \rangle$ ; confidence 0.584

172. t13014082.png ; $q _ { B } ( v ) \geq 0$ ; confidence 0.584

173. a130240509.png ; $E [ Z _ { 32 } , Z _ { 33 } ] = 0$ ; confidence 0.584

174. e13003019.png ; $\Gamma \subset SL _ { 2 } ( Z )$ ; confidence 0.584

175. w1300807.png ; $u ( x , t ) = U = f _ { g } ( \theta _ { 1 } , \ldots , \theta _ { g } )$ ; confidence 0.584

176. b12015063.png ; $d ^ { * } : \{ 0,1 \} ^ { n } \rightarrow R$ ; confidence 0.584

177. d12023064.png ; $= \sum _ { i = 0 } ^ { p - 1 } L ( x _ { i } ) L ^ { * } ( x _ { i } ) - \sum _ { i = 0 } ^ { q - 1 } L ( y _ { i } ) L ^ { * } ( y _ { i } )$ ; confidence 0.584

178. i13009041.png ; $k _ { p }$ ; confidence 0.584

179. w120110268.png ; $S ( m , \sigma _ { l } )$ ; confidence 0.584

180. s13064062.png ; $W _ { \tau } ( k )$ ; confidence 0.583

181. b12050053.png ; $\{ 1 ( T , x ) : x \in R \}$ ; confidence 0.583

182. a011650460.png ; $D$ ; confidence 0.583

183. t13007035.png ; $\theta ( t ) - t = \frac { 1 } { 2 \pi } P.V. \int _ { 0 } ^ { 2 \pi } \operatorname { log } \rho ( \theta ( s ) ) \operatorname { cot } \frac { t - s } { 2 } d s$ ; confidence 0.583

184. d12002014.png ; $g ( u _ { 1 } )$ ; confidence 0.583

185. w13008064.png ; $t m$ ; confidence 0.583

186. b12036016.png ; $p _ { x } , p _ { y } , p _ { z }$ ; confidence 0.583

187. d03027035.png ; $K _ { n , p } ( t ) = \frac { 1 } { p + 1 } \sum _ { k = n - p } ^ { n } D _ { k } ( t ) =$ ; confidence 0.583

188. k055840322.png ; $U ( 0 ) = I _ { n }$ ; confidence 0.583

189. p0745206.png ; $A \subset P$ ; confidence 0.583

190. a130240108.png ; $y _ { i } = \alpha + \beta t _ { i } + \gamma t ^ { 2 } + e _ { i }$ ; confidence 0.583

191. f12021093.png ; $\frac { \partial u } { \partial \lambda } ( z , \lambda _ { 1 } ) = ( \operatorname { log } z ) z ^ { \lambda _ { 1 } }$ ; confidence 0.583

192. a120160113.png ; $x _ { i }$ ; confidence 0.583

193. e120070107.png ; $\hat { H } ^ { 1 } ( \Gamma , k , v ; P ( k ) )$ ; confidence 0.583

194. f12024028.png ; $\dot { x } ( t - g _ { 1 } ( t ) ) , \ldots , \dot { x } ( t - g ( t ) ) )$ ; confidence 0.583

195. i13002049.png ; $x = ( x _ { 1 } , \dots , x _ { m } ) ^ { T }$ ; confidence 0.583

196. e120020116.png ; $S ^ { 1 } \vee \ldots \vee S ^ { 1 }$ ; confidence 0.583

197. l13001026.png ; $L ^ { 1 } ( T ^ { n } )$ ; confidence 0.583

198. b12022053.png ; $21$ ; confidence 0.583

199. m130230100.png ; $d ^ { t }$ ; confidence 0.582

200. w09759021.png ; $rd ( D )$ ; confidence 0.582

201. w120110263.png ; $a ^ { w } : H ( m m _ { 1 } , G ) \rightarrow H ( m _ { 1 } , G )$ ; confidence 0.582

202. b12015058.png ; $\operatorname { lim } _ { n \rightarrow \infty } E _ { P } [ ( d _ { n } ^ { * } - d ^ { * } ) ^ { 2 } ] = 0$ ; confidence 0.582

203. m1202407.png ; $( \psi [ 1 ] \varphi ) y = \varphi ^ { 2 } ( \psi \varphi ^ { - 1 } ) y$ ; confidence 0.582

204. w130080172.png ; $\omega ^ { 0 } = \int \Sigma _ { g } \langle \delta A , \delta \overline { A } \rangle$ ; confidence 0.582

205. a130040592.png ; $S _ { P }$ ; confidence 0.582

206. o130060126.png ; $p ( \lambda _ { 1 } , \lambda _ { 2 } ) = ( f ( \lambda _ { 1 } , \lambda _ { 2 } ) ) ^ { r }$ ; confidence 0.582

207. a12012018.png ; $B = 1$ ; confidence 0.582

208. b12036034.png ; $\epsilon ( \alpha , b , c , d )$ ; confidence 0.582

209. b130300105.png ; $n > 10 ^ { 10 }$ ; confidence 0.582

210. g12007036.png ; $z _ { m + 1 } ^ { \pi }$ ; confidence 0.582

211. a130240169.png ; $\beta = 0$ ; confidence 0.582

212. i1300703.png ; $\operatorname { lim } _ { r \rightarrow \infty } \int _ { x = r } | \frac { \partial v } { \partial r } - i k v | ^ { 2 } d s = 0$ ; confidence 0.581

213. a11001011.png ; $12$ ; confidence 0.581

214. p12014013.png ; $\theta = \theta ( a _ { 0 } , a _ { 1 } ) > 1$ ; confidence 0.581

215. v120020193.png ; $( t ^ { * } ) ^ { - 1 } \circ ( t - r ) ^ { * } \beta _ { 1 } = k \beta _ { 2 }$ ; confidence 0.581

216. n13005022.png ; $r \leq s \mu$ ; confidence 0.581

217. k0550707.png ; $H ^ { \prime } ( M , C ) \cong \oplus _ { p + q = r } H ^ { p , q } ( M )$ ; confidence 0.581

218. a130050256.png ; $P _ { C } ^ { \# } ( n )$ ; confidence 0.581

219. z13005011.png ; $\delta ( a b ) = a \delta ( b ) + b \delta ( \alpha )$ ; confidence 0.581

220. f12008092.png ; $M A ( G )$ ; confidence 0.581

221. s13050010.png ; $\left( \begin{array} { c } { [ n ] } \\ { ( n + 1 ) / 2 } \end{array} \right)$ ; confidence 0.581

222. i12008091.png ; $F = - k _ { B } T \operatorname { ln } \lambda _ { + } =$ ; confidence 0.581

223. l12009060.png ; $T _ { p }$ ; confidence 0.580

224. d120020194.png ; $\underline { y } = g ( \overline { u } _ { 1 } )$ ; confidence 0.580

225. a130040657.png ; $h ( F _ { S _ { P } } \mathfrak { M } ^ { * } L ) = F _ { S _ { P } } \mathfrak { N } ^ { * } L$ ; confidence 0.580

226. v09690080.png ; $S \in A ^ { + }$ ; confidence 0.580

227. t120010120.png ; $b _ { 2 } ( s ) \leq 1$ ; confidence 0.580

228. l12005018.png ; $f ( x ) = \operatorname { lim } _ { N \rightarrow \infty } \frac { 4 } { \pi ^ { 2 } } \int _ { 0 } ^ { N } \operatorname { cosh } ( \pi \tau ) \operatorname { Im } K _ { 1 / 2 + i \tau } ( x ) F ( \tau ) d \tau$ ; confidence 0.580

229. k13006029.png ; $\left( \begin{array} { c } { a _ { k } } \\ { k } \end{array} \right) \leq m$ ; confidence 0.580

230. t120200227.png ; $\phi ( z ) = z ^ { k } + a _ { 1 } z ^ { k - 1 } + \ldots + a _ { k }$ ; confidence 0.580

231. c11025044.png ; $\Delta _ { y }$ ; confidence 0.580

232. b12009060.png ; $h ( z ) = 1 + c _ { 1 } z + c _ { 2 } z ^ { 2 } + \ldots$ ; confidence 0.580

233. c13010023.png ; $a 0 = 0$ ; confidence 0.580

234. e13004047.png ; $\vec { x } \vec { v }$ ; confidence 0.580

235. n12010029.png ; $c _ { i } \neq c _ { j }$ ; confidence 0.580

236. a01084010.png ; $A ^ { x }$ ; confidence 0.580

237. c12019014.png ; $n d ( D )$ ; confidence 0.580

238. o12005056.png ; $u ^ { q }$ ; confidence 0.580

239. m13002068.png ; $T P ^ { 1 }$ ; confidence 0.579

240. f12008091.png ; $= \| M$ ; confidence 0.579

241. d11018016.png ; $e ^ { \xi ( u ) } = 1 + u \xi ( u )$ ; confidence 0.579

242. h1300506.png ; $u ( x , 0 ) = u 0 ( x )$ ; confidence 0.579

243. s12026068.png ; $\Omega = ( 1,0,0 , \dots )$ ; confidence 0.579

244. b110220229.png ; $CH ^ { i } ( X , j )$ ; confidence 0.579

245. t120200123.png ; $\geq \frac { 1 } { 8 } ( \frac { n - 1 } { 8 e ( m + n ) } ) ^ { n } \operatorname { min } | b _ { 1 } + \ldots + b _ { j } |$ ; confidence 0.579

246. w13008050.png ; $T _ { m } = \epsilon t _ { m }$ ; confidence 0.579

247. a12006034.png ; $u ( t ) = e ^ { - t A } u _ { 0 } + \int _ { 0 } ^ { t } e ^ { - ( t - s ) A } f ( s ) d s$ ; confidence 0.579

248. s120050114.png ; $B ( z ) = C \prod _ { j = 1 } ^ { \kappa } \frac { z - \alpha j } { 1 - \overline { \alpha } j z }$ ; confidence 0.579

249. g13006032.png ; $x = [ x _ { 1 } \ldots x _ { n } ] ^ { T }$ ; confidence 0.579

250. l11002067.png ; $| x \vee y | \preceq | x | \vee | y | \preceq | x | | y |$ ; confidence 0.579

251. g13006042.png ; $\sum _ { j = 1 } ^ { n } a _ { i , j } x _ { j } = \lambda x _ { i }$ ; confidence 0.579

252. z13010070.png ; $\{ 0 , \{ 0 \} , \{ 0 , \{ 0 \} \} \}$ ; confidence 0.579

253. h13002031.png ; $N = N ( q , r ) \in N$ ; confidence 0.578

254. i12006042.png ; $\operatorname { succ } ( x ) = \{ y : x < p y \}$ ; confidence 0.578

255. v13011028.png ; $\Phi ( z ) = - \frac { i \Gamma } { 2 \pi } \operatorname { log } [ \prod _ { m = - \infty } ^ { \infty } ( z - ( z _ { 0 } - m l ) ) ] =$ ; confidence 0.578

256. m130110130.png ; $\frac { D v } { D t } = \frac { \partial v } { \partial t } + ( v . \nabla ) v$ ; confidence 0.578

257. f13001042.png ; $O ^ { \sim } ( n )$ ; confidence 0.578

258. k13002012.png ; $y _ { j } > y _ { k }$ ; confidence 0.578

259. t12005088.png ; $( p - n + i _ { 1 } ) \cdot \mu _ { i _ { 1 } , \dots , i _ { r } } - ( i _ { 1 } - i _ { 2 } ) \cdot \mu _ { i _ { 2 } , \dots , i _ { r } }$ ; confidence 0.578

260. n12002034.png ; $\mu ^ { \prime } ( d x ) = \operatorname { exp } ( \alpha , x ) \mu ( d x )$ ; confidence 0.578

261. b12044091.png ; $h \in G$ ; confidence 0.578

262. b13002049.png ; $0$ ; confidence 0.578

263. b120400105.png ; $\varrho = e ^ { p } : B \rightarrow C ^ { * }$ ; confidence 0.578

264. s120040117.png ; $1 , \dots , | \lambda |$ ; confidence 0.578

265. f12024026.png ; $\dot { x } ( t ) = f ( t , x ( t - h _ { 1 } ( t ) ) , \ldots , x ( t - h _ { k } ( t ) ) )$ ; confidence 0.578

266. b12042028.png ; $( C , \otimes , \Phi , \underline { 1 } , l , r )$ ; confidence 0.578

267. h12012072.png ; $\pi = 1 y - D ( \phi )$ ; confidence 0.578

268. b1201607.png ; $p _ { i k } , j = p _ { k i } , j$ ; confidence 0.578

269. a130040456.png ; $h ( \psi _ { 0 } ) , \ldots , h ( \psi _ { n } - 1 ) \in F$ ; confidence 0.578

270. t120070105.png ; $1 _ { x } = 0$ ; confidence 0.578

271. s13034047.png ; $S l _ { 2 } ( C )$ ; confidence 0.578

272. s13054085.png ; $\{ . . \} p$ ; confidence 0.577

273. b110100180.png ; $\{ 1 , \ldots , n \}$ ; confidence 0.577

274. z13011056.png ; $\frac { 1 } { n } G _ { p , n } \stackrel { \omega } { \rightarrow } G$ ; confidence 0.577

275. p12017056.png ; $N _ { \epsilon } ^ { \prime }$ ; confidence 0.577

276. f13016043.png ; $\mu _ { R } ( M ) \leq$ ; confidence 0.577

277. s12005075.png ; $V = \left( \begin{array} { l l } { T } & { F } \\ { G } & { H } \end{array} \right)$ ; confidence 0.577

278. a12016056.png ; $S _ { t } = c _ { 0 } + c _ { 1 } u _ { t } + c _ { 1 } \lambda u _ { t - 1 } + c _ { 1 } \lambda ^ { 2 } u _ { t - 2 } + \ldots + \mu _ { t }$ ; confidence 0.577

279. c120210135.png ; $\{ P _ { x } , \theta \}$ ; confidence 0.577

280. q1300509.png ; $QS ( R )$ ; confidence 0.577

281. s13054065.png ; $\Delta ^ { 2 } F$ ; confidence 0.577

282. w1200704.png ; $g : R ^ { 2 n } \rightarrow R$ ; confidence 0.577

283. a01024060.png ; $A _ { i }$ ; confidence 0.577

284. b1102207.png ; $i = 0,1 , \ldots$ ; confidence 0.577

285. k12008031.png ; $\lambda : R ^ { n } \rightarrow R ^ { q }$ ; confidence 0.577

286. d120020234.png ; $v _ { N A } = v ^ { * }$ ; confidence 0.577

287. c120180495.png ; $= \hat { N }$ ; confidence 0.576

288. b12040037.png ; $\pi ( g \times ^ { Q } f ) = g H$ ; confidence 0.576

289. t13014073.png ; $v \in N ^ { Q } 0$ ; confidence 0.576

290. z13004022.png ; $K _ { 7 } , 7$ ; confidence 0.576

291. m13001021.png ; $c : X \rightarrow \{ 0,1 \}$ ; confidence 0.576

292. t120200106.png ; $1 = | z _ { 1 } | \geq \ldots \geq | z _ { x } |$ ; confidence 0.576

293. m12012079.png ; $g : B _ { R } \rightarrow R _ { R }$ ; confidence 0.576

294. e035000117.png ; $H _ { \epsilon } ^ { \prime \prime } \leq H _ { \epsilon / 2 }$ ; confidence 0.576

295. t12006045.png ; $\rho \frac { T } { Z }$ ; confidence 0.576

296. q12005066.png ; $H _ { new } = H - \frac { H y y ^ { T } H } { y ^ { T } H y } + \frac { s s ^ { T } } { s ^ { T } y } + \phi . w v ^ { T }$ ; confidence 0.576

297. t13015027.png ; $( T _ { f } ) = \operatorname { dim } \operatorname { Ker } T _ { f } - \operatorname { dim } \text { Coker } T _ { f }$ ; confidence 0.576

298. m13022036.png ; $V _ { 1 } = \rho _ { 1 } \oplus \rho _ { 1 } 96883$ ; confidence 0.576

299. r130080125.png ; $( u , v ) + = \int _ { D } \int _ { D } B ( x , y ) u ( y ) \overline { v ( x ) } d y d x \text { if } H _ { 0 } = L ^ { 2 } ( D )$ ; confidence 0.576

300. d12013022.png ; $f ( X ) = X ^ { q ^ { n } } + \sum _ { i = 0 } ^ { n - 1 } ( - 1 ) ^ { n - i } c _ { n , i } X ^ { q ^ { i } } \in K [ X ]$ ; confidence 0.576

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/NoNroff/53. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/NoNroff/53&oldid=44541