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(AUTOMATIC EDIT of page 17 out of 77 with 300 lines: Updated image/latex database (currently 22833 images latexified; order by Confidence, ascending: False.)
 
(One intermediate revision by one other user not shown)
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2. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130190/b1301904.png ; $e ( x ) = \operatorname { exp } ( 2 \pi i x )$ ; confidence 0.989
 
2. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130190/b1301904.png ; $e ( x ) = \operatorname { exp } ( 2 \pi i x )$ ; confidence 0.989
  
3. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f12021080.png ; $\lambda _ { i } - \lambda _ { j } \in N$ ; confidence 0.989
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3. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f12021080.png ; $\lambda _ { i } - \lambda _ { j } \in \mathbf{N}$ ; confidence 0.989
  
 
4. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110160/f1101608.png ; $L ( n + 1 )$ ; confidence 0.989
 
4. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110160/f1101608.png ; $L ( n + 1 )$ ; confidence 0.989
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5. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d120230153.png ; $( i \times i )$ ; confidence 0.989
 
5. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d120230153.png ; $( i \times i )$ ; confidence 0.989
  
6. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130080/z13008048.png ; $( 4 \frac { \partial ^ { 2 } } { \partial z \partial z } - D ^ { 2 } - 2 ( \alpha + 1 ) D ) f =$ ; confidence 0.989
+
6. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130080/z13008048.png ; $\left( 4 \frac { \partial ^ { 2 } } { \partial z \partial \overline{z} } - \mathcal{D} ^ { 2 } - 2 ( \alpha + 1 ) \mathcal{D} \right) f =$ ; confidence 0.989
  
 
7. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024120/c02412069.png ; $L ( s , \chi )$ ; confidence 0.989
 
7. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024120/c02412069.png ; $L ( s , \chi )$ ; confidence 0.989
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8. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044350/g04435011.png ; $V _ { F }$ ; confidence 0.989
 
8. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044350/g04435011.png ; $V _ { F }$ ; confidence 0.989
  
9. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130050/e13005018.png ; $( y - x ) ^ { \alpha + \beta } ( \frac { \partial u } { \partial y } - \frac { \partial u } { \partial x } ) | _ { x = y } = \nu ( x )$ ; confidence 0.989
+
9. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130050/e13005018.png ; $( y - x ) ^ { \alpha + \beta } \left( \frac { \partial u } { \partial y } - \frac { \partial u } { \partial x } \right) | _ { x = y } = \nu ( x ),$ ; confidence 0.989
  
10. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120010/h12001026.png ; $V \rightarrow R$ ; confidence 0.989
+
10. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120010/h12001026.png ; $V \rightarrow \mathcal{R}$ ; confidence 0.989
  
11. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130150/c13015011.png ; $E _ { M } ( D ( \Omega ) )$ ; confidence 0.989
+
11. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130150/c13015011.png ; $\mathcal{E} _ { M } ( \mathcal{D} ( \Omega ) )$ ; confidence 0.989
  
 
12. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130060/h13006041.png ; $u v = D \alpha D \beta D$ ; confidence 0.989
 
12. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130060/h13006041.png ; $u v = D \alpha D \beta D$ ; confidence 0.989
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15. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b12022025.png ; $\varepsilon \rightarrow 0$ ; confidence 0.989
 
15. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b12022025.png ; $\varepsilon \rightarrow 0$ ; confidence 0.989
  
16. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w13009021.png ; $G _ { 0 } = R$ ; confidence 0.989
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16. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w13009021.png ; $G _ { 0 } = \mathbf{R}$ ; confidence 0.989
  
 
17. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510109.png ; $\gamma ( v )$ ; confidence 0.989
 
17. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510109.png ; $\gamma ( v )$ ; confidence 0.989
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18. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120040/i12004066.png ; $\sum _ { j = 1 } ^ { n } \frac { \partial r } { \partial \zeta _ { j } } ( \zeta _ { j } ) ( \zeta _ { j } - z _ { j } ) \neq 0$ ; confidence 0.989
 
18. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120040/i12004066.png ; $\sum _ { j = 1 } ^ { n } \frac { \partial r } { \partial \zeta _ { j } } ( \zeta _ { j } ) ( \zeta _ { j } - z _ { j } ) \neq 0$ ; confidence 0.989
  
19. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110020/b1100202.png ; $b ( u , v ) = l ( v ) , \forall v \in V$ ; confidence 0.989
+
19. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110020/b1100202.png ; $b ( u , v ) = l ( v ) , \forall v \in V,$ ; confidence 0.989
  
 
20. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840189.png ; $\sum \rho ( \lambda ) \leq \kappa$ ; confidence 0.989
 
20. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840189.png ; $\sum \rho ( \lambda ) \leq \kappa$ ; confidence 0.989
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23. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130080/o13008066.png ; $\int _ { 0 } ^ { \infty } p ( x ) f _ { 1 } ( x , k ) f _ { 2 } ( x , k ) d x = 0$ ; confidence 0.989
 
23. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130080/o13008066.png ; $\int _ { 0 } ^ { \infty } p ( x ) f _ { 1 } ( x , k ) f _ { 2 } ( x , k ) d x = 0$ ; confidence 0.989
  
24. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001032.png ; $g ( \xi ^ { \alpha } , \xi ^ { b } ) = \delta _ { \alpha b }$ ; confidence 0.989
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24. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001032.png ; $g ( \xi ^ { a } , \xi ^ { b } ) = \delta _ { a b }$ ; confidence 0.989
  
 
25. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120290/a1202906.png ; $F _ { \sigma }$ ; confidence 0.989
 
25. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120290/a1202906.png ; $F _ { \sigma }$ ; confidence 0.989
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27. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120150/m12015020.png ; $\int _ { X } f _ { X } ( X ) d X = 1$ ; confidence 0.989
 
27. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120150/m12015020.png ; $\int _ { X } f _ { X } ( X ) d X = 1$ ; confidence 0.989
  
28. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120040/i12004052.png ; $f ( z ) = \int \partial D f ( \zeta ) K ( s )$ ; confidence 0.989
+
28. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120040/i12004052.png ; $f ( z ) = \int \partial_{Df} ( \zeta ) K ( s )$ ; confidence 0.989
  
29. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130160/c130160166.png ; $\geq 2 / 3$ ; confidence 0.989
+
29. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130160/c130160166.png ; $\mathsf{P}(M \ \text{accepts} \ w) \geq 2 / 3$ ; confidence 0.989
  
30. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130090/f1300909.png ; $\alpha ( x ) = \frac { x + ( x ^ { 2 } + 4 ) ^ { 1 / 2 } } { 2 } , \beta ( x ) = \frac { x - ( x ^ { 2 } + 4 ) ^ { 1 / 2 } } { 2 }$ ; confidence 0.989
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30. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130090/f1300909.png ; $\alpha ( x ) = \frac { x + ( x ^ { 2 } + 4 ) ^ { 1 / 2 } } { 2 } , \beta ( x ) = \frac { x - ( x ^ { 2 } + 4 ) ^ { 1 / 2 } } { 2 },$ ; confidence 0.989
  
 
31. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130060/e13006070.png ; $Q \rightarrow R$ ; confidence 0.989
 
31. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130060/e13006070.png ; $Q \rightarrow R$ ; confidence 0.989
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37. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130060/c13006040.png ; $A _ { i } = A ( \Gamma _ { i } )$ ; confidence 0.989
 
37. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130060/c13006040.png ; $A _ { i } = A ( \Gamma _ { i } )$ ; confidence 0.989
  
38. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l12003056.png ; $H ^ { * } \operatorname { Map } ( B E , X ) \approx T _ { E } H ^ { * } X$ ; confidence 0.989
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38. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l12003056.png ; $H ^ { * } \operatorname { Map } ( B E , X ) \approx T _ { E } H ^ { * } X.$ ; confidence 0.989
  
 
39. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120520/b12052066.png ; $G = B _ { 0 } ^ { - 1 } F ( x )$ ; confidence 0.989
 
39. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120520/b12052066.png ; $G = B _ { 0 } ^ { - 1 } F ( x )$ ; confidence 0.989
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44. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130030/b1300304.png ; $( x , y , z ) \mapsto \{ x y z \}$ ; confidence 0.989
 
44. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130030/b1300304.png ; $( x , y , z ) \mapsto \{ x y z \}$ ; confidence 0.989
  
45. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c120210134.png ; $L _ { 2 } ( \theta )$ ; confidence 0.989
+
45. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c120210134.png ; $\mathcal{L} _ { 2 } ( \theta )$ ; confidence 0.989
  
46. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032016.png ; $[ x , y ] = - ( - 1 ) ^ { p ( x ) p ( y ) } [ y , x ] , [ x , [ y , z ] ] = [ [ x , y ] , z ] + ( - 1 ) ^ { p ( x ) p ( y ) } [ y , [ x , z ] ]$ ; confidence 0.989
+
46. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032016.png ; $[ x , y ] = - ( - 1 ) ^ { p ( x ) p ( y ) } [ y , x ] , [ x , [ y , z ] ] = [ [ x , y ] , z ] + ( - 1 ) ^ { p ( x ) p ( y ) } [ y , [ x , z ] ].$ ; confidence 0.989
  
 
47. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130130/d13013047.png ; $e = n \hbar / 2 g$ ; confidence 0.989
 
47. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130130/d13013047.png ; $e = n \hbar / 2 g$ ; confidence 0.989
  
48. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t13005049.png ; $\Lambda ^ { k } ( X )$ ; confidence 0.989
+
48. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t13005049.png ; $\Lambda ^ { k } ( \mathcal{X} )$ ; confidence 0.989
  
49. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130090/b13009038.png ; $L ^ { 1 } ( R )$ ; confidence 0.989
+
49. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130090/b13009038.png ; $L ^ { 1 } ( \mathbf{R} )$ ; confidence 0.989
  
 
50. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420143.png ; $1$ ; confidence 0.989
 
50. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420143.png ; $1$ ; confidence 0.989
  
51. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240396.png ; $M _ { H }$ ; confidence 0.989
+
51. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240396.png ; $\mathbf{M} _ { \mathcal{H} }$ ; confidence 0.989
  
 
52. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b1302903.png ; $d = \operatorname { dim } A$ ; confidence 0.989
 
52. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b1302903.png ; $d = \operatorname { dim } A$ ; confidence 0.989
  
53. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023058.png ; $E ( L ) = \frac { \partial L } { \partial y } - D ( \frac { \partial L } { \partial y ^ { \prime } } )$ ; confidence 0.989
+
53. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023058.png ; $\mathcal{E} ( L ) = \frac { \partial L } { \partial y } - D \left( \frac { \partial L } { \partial y ^ { \prime } } \right),$ ; confidence 0.989
  
 
54. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025470/c02547051.png ; $\alpha \wedge ( d \alpha ) ^ { n }$ ; confidence 0.989
 
54. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025470/c02547051.png ; $\alpha \wedge ( d \alpha ) ^ { n }$ ; confidence 0.989
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57. https://www.encyclopediaofmath.org/legacyimages/n/n130/n130030/n13003035.png ; $A w$ ; confidence 0.989
 
57. https://www.encyclopediaofmath.org/legacyimages/n/n130/n130030/n13003035.png ; $A w$ ; confidence 0.989
  
58. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120010/f12001024.png ; $( X ) \neq 0$ ; confidence 0.989
+
58. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120010/f12001024.png ; $\sigma( X ) \neq 0$ ; confidence 0.989
  
 
59. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130470/s1304708.png ; $\lambda \mapsto ( T - \lambda I ) ^ { - 1 }$ ; confidence 0.989
 
59. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130470/s1304708.png ; $\lambda \mapsto ( T - \lambda I ) ^ { - 1 }$ ; confidence 0.989
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61. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120200/d12020022.png ; $H ( G )$ ; confidence 0.989
 
61. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120200/d12020022.png ; $H ( G )$ ; confidence 0.989
  
62. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120160/e12016028.png ; $f ( d t ^ { 2 } - \omega d \theta ^ { 2 } ) - r ^ { 2 } f ^ { - 1 } d \theta ^ { 2 } - \Omega ^ { 2 } ( d r ^ { 2 } + d z ^ { 2 } )$ ; confidence 0.989
+
62. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120160/e12016028.png ; $f ( d t ^ { 2 } - \omega d \theta ^ { 2 } ) - r ^ { 2 } f ^ { - 1 } d \theta ^ { 2 } - \Omega ^ { 2 } ( d r ^ { 2 } + d z ^ { 2 } ),$ ; confidence 0.989
  
63. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120010/h12001033.png ; $I \subset X ^ { ( 1 ) }$ ; confidence 0.989
+
63. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120010/h12001033.png ; $\mathcal{I} \subset X ^ { ( 1 ) }$ ; confidence 0.989
  
 
64. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130210/f13021047.png ; $B ( G _ { 1 } )$ ; confidence 0.989
 
64. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130210/f13021047.png ; $B ( G _ { 1 } )$ ; confidence 0.989
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66. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j130040107.png ; $( v ^ { - 1 } - v ) / z$ ; confidence 0.989
 
66. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j130040107.png ; $( v ^ { - 1 } - v ) / z$ ; confidence 0.989
  
67. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797078.png ; $\Delta x$ ; confidence 0.989
+
67. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797078.png ; $\Delta_*$ ; confidence 0.989
  
 
68. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h120120165.png ; $H ( \pi , n )$ ; confidence 0.989
 
68. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h120120165.png ; $H ( \pi , n )$ ; confidence 0.989
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72. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130020/z13002034.png ; $F , F _ { \tau } \subset P$ ; confidence 0.989
 
72. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130020/z13002034.png ; $F , F _ { \tau } \subset P$ ; confidence 0.989
  
73. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057240/l0572408.png ; $t \in R ^ { + }$ ; confidence 0.989
+
73. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057240/l0572408.png ; $t \in \mathbf{R} ^ { + }$ ; confidence 0.989
  
74. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g13006034.png ; $A x = \lambda x$ ; confidence 0.989
+
74. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g13006034.png ; $A \mathbf{x} = \lambda \mathbf{x}$ ; confidence 0.989
  
 
75. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130020/m13002023.png ; $8 \pi k$ ; confidence 0.989
 
75. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130020/m13002023.png ; $8 \pi k$ ; confidence 0.989
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79. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e1201205.png ; $\theta ^ { ( 0 ) } \in \Theta$ ; confidence 0.989
 
79. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e1201205.png ; $\theta ^ { ( 0 ) } \in \Theta$ ; confidence 0.989
  
80. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120080/t12008045.png ; $\epsilon \in O _ { S } ^ { * }$ ; confidence 0.989
+
80. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120080/t12008045.png ; $\epsilon \in \mathcal{O} _ { S } ^ { * }$ ; confidence 0.989
  
81. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240542.png ; $( T _ { 1 } , T _ { 2 } )$ ; confidence 0.989
+
81. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240542.png ; $( \mathbf{T} _ { 1 } , \mathbf{T} _ { 2 } )$ ; confidence 0.989
  
 
82. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130010/j1300107.png ; $Q _ { D } ( v , z )$ ; confidence 0.989
 
82. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130010/j1300107.png ; $Q _ { D } ( v , z )$ ; confidence 0.989
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84. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680177.png ; $x \leq y$ ; confidence 0.989
 
84. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680177.png ; $x \leq y$ ; confidence 0.989
  
85. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120290/d12029045.png ; $\sum _ { q = 1 } ^ { N } \varphi ( q ) f ( q )$ ; confidence 0.989
+
85. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120290/d12029045.png ; $2\sum _ { q = 1 } ^ { N } \varphi ( q ) f ( q )$ ; confidence 0.989
  
86. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120300/d12030011.png ; $b : R _ { + } \times R ^ { n } \rightarrow L ( R ^ { n } , R ^ { n } )$ ; confidence 0.989
+
86. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120300/d12030011.png ; $b : \mathbf{R} _ { + } \times \mathbf{R} ^ { n } \rightarrow \mathcal{L} ( \mathbf{R} ^ { n } , \mathbf{R} ^ { n } )$ ; confidence 0.989
  
 
87. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130130/r13013021.png ; $M = \operatorname { Im } ( P _ { \sigma } )$ ; confidence 0.989
 
87. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130130/r13013021.png ; $M = \operatorname { Im } ( P _ { \sigma } )$ ; confidence 0.989
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92. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120080/k12008037.png ; $f \rightarrow K _ { p } ( f )$ ; confidence 0.989
 
92. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120080/k12008037.png ; $f \rightarrow K _ { p } ( f )$ ; confidence 0.989
  
93. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120200/d12020021.png ; $B ( H ( G ) )$ ; confidence 0.989
+
93. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120200/d12020021.png ; $\mathcal{B} ( H ( G ) )$ ; confidence 0.989
  
 
94. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520220.png ; $M _ { n \times n } ( K )$ ; confidence 0.989
 
94. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520220.png ; $M _ { n \times n } ( K )$ ; confidence 0.989
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103. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f120150112.png ; $F ( x ) \in C ^ { k } ( \Omega , Y )$ ; confidence 0.989
 
103. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f120150112.png ; $F ( x ) \in C ^ { k } ( \Omega , Y )$ ; confidence 0.989
  
104. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035000/e035000139.png ; $S ( T , \alpha ) = H _ { \alpha } ( T ( B ( 0,1 ) ) , H )$ ; confidence 0.989
+
104. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035000/e035000139.png ; $S ( T , \alpha ) = \mathcal{H} _ { \alpha } ( T (B ( 0,1 ) ) , H ).$ ; confidence 0.989
  
 
105. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v09690038.png ; $P H$ ; confidence 0.989
 
105. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v09690038.png ; $P H$ ; confidence 0.989
Line 230: Line 230:
 
115. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120190/e120190151.png ; $[ p , x ] \ni q$ ; confidence 0.989
 
115. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120190/e120190151.png ; $[ p , x ] \ni q$ ; confidence 0.989
  
116. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120050/c12005018.png ; $H ^ { p } ( T )$ ; confidence 0.989
+
116. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120050/c12005018.png ; $H ^ { p } ( \mathbf{T} )$ ; confidence 0.989
  
 
117. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120140/d12014076.png ; $\{ x ^ { n } \}$ ; confidence 0.989
 
117. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120140/d12014076.png ; $\{ x ^ { n } \}$ ; confidence 0.989
Line 236: Line 236:
 
118. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120280/d12028026.png ; $\phi \in A _ { 0 } ( Q )$ ; confidence 0.989
 
118. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120280/d12028026.png ; $\phi \in A _ { 0 } ( Q )$ ; confidence 0.989
  
119. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130190/m13019044.png ; $M _ { - 1 } = 0$ ; confidence 0.989
+
119. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130190/m13019044.png ; $\mathcal{M} _ { - 1 } = 0$ ; confidence 0.989
  
120. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120070/m12007026.png ; $\delta = M ( 1 + x + y - x y ) = 1.7916228$ ; confidence 0.989
+
120. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120070/m12007026.png ; $\delta = M ( 1 + x + y - x y ) = 1.7916228\dots$ ; confidence 0.989
  
 
121. https://www.encyclopediaofmath.org/legacyimages/n/n130/n130030/n13003039.png ; $( \partial ^ { 2 } / \partial x ^ { 2 } + \partial ^ { 2 } / \partial y ^ { 2 } )$ ; confidence 0.989
 
121. https://www.encyclopediaofmath.org/legacyimages/n/n130/n130030/n13003039.png ; $( \partial ^ { 2 } / \partial x ^ { 2 } + \partial ^ { 2 } / \partial y ^ { 2 } )$ ; confidence 0.989
Line 248: Line 248:
 
124. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120310/b12031060.png ; $[ f _ { S } ^ { + } ( x _ { 0 } ) + f _ { S } ^ { - } ( x _ { 0 } ) ] / 2$ ; confidence 0.989
 
124. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120310/b12031060.png ; $[ f _ { S } ^ { + } ( x _ { 0 } ) + f _ { S } ^ { - } ( x _ { 0 } ) ] / 2$ ; confidence 0.989
  
125. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130210/f13021033.png ; $B ( G ) \cap C _ { 00 } ( G ; C ) \subset A ( G )$ ; confidence 0.989
+
125. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130210/f13021033.png ; $B ( G ) \cap C _ { 00 } ( G ; \mathbf{C} ) \subset A ( G )$ ; confidence 0.989
  
 
126. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120020/n12002093.png ; $m _ { 0 } < m$ ; confidence 0.989
 
126. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120020/n12002093.png ; $m _ { 0 } < m$ ; confidence 0.989
  
127. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120230/c12023016.png ; $F \cap R$ ; confidence 0.989
+
127. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120230/c12023016.png ; $F \cap \mathcal{R}$ ; confidence 0.989
  
 
128. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120050/s120050106.png ; $S ( z ) = B ( z ) ^ { - 1 } S _ { 0 } ( z )$ ; confidence 0.989
 
128. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120050/s120050106.png ; $S ( z ) = B ( z ) ^ { - 1 } S _ { 0 } ( z )$ ; confidence 0.989
Line 266: Line 266:
 
133. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120150/t12015064.png ; $( \Delta ^ { \alpha } \xi | \eta ) = ( \xi | \Delta ^ { \overline { \alpha } } \eta )$ ; confidence 0.989
 
133. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120150/t12015064.png ; $( \Delta ^ { \alpha } \xi | \eta ) = ( \xi | \Delta ^ { \overline { \alpha } } \eta )$ ; confidence 0.989
  
134. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i1300507.png ; $t - ( k )$ ; confidence 0.989
+
134. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i1300507.png ; $t_- ( k )$ ; confidence 0.989
  
 
135. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r13007031.png ; $H _ { - } \supset H _ { 0 }$ ; confidence 0.989
 
135. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r13007031.png ; $H _ { - } \supset H _ { 0 }$ ; confidence 0.989
Line 276: Line 276:
 
138. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120140/t12014038.png ; $\overline { \phi } \in H ^ { \infty }$ ; confidence 0.989
 
138. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120140/t12014038.png ; $\overline { \phi } \in H ^ { \infty }$ ; confidence 0.989
  
139. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130300/a13030027.png ; $R ^ { + }$ ; confidence 0.989
+
139. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130300/a13030027.png ; $\mathbf{R} ^ { + }$ ; confidence 0.989
  
 
140. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130090/h13009034.png ; $G \rightarrow G ^ { * } \mu$ ; confidence 0.988
 
140. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130090/h13009034.png ; $G \rightarrow G ^ { * } \mu$ ; confidence 0.988
Line 290: Line 290:
 
145. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020169.png ; $q \circ p ^ { - 1 } ( x ) \subset F ( x )$ ; confidence 0.988
 
145. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020169.png ; $q \circ p ^ { - 1 } ( x ) \subset F ( x )$ ; confidence 0.988
  
146. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l057000197.png ; $\rho = [ [ M ] ]$ ; confidence 0.988
+
146. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l057000197.png ; $[ [ M ] ]_\rho = [ [ M ] ]_\rho [ [ N ] ]_\rho$ ; confidence 0.988
  
 
147. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120530/b1205301.png ; $T : L ^ { 1 } ( \mu ) \rightarrow L ^ { p } ( \nu )$ ; confidence 0.988
 
147. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120530/b1205301.png ; $T : L ^ { 1 } ( \mu ) \rightarrow L ^ { p } ( \nu )$ ; confidence 0.988
  
148. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110030/l11003040.png ; $L ^ { \prime } ( E )$ ; confidence 0.988
+
148. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110030/l11003040.png ; $L ^ { \prime } ( \mathcal{E} )$ ; confidence 0.988
  
149. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130090/r13009017.png ; $\sigma : R \rightarrow R$ ; confidence 0.988
+
149. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130090/r13009017.png ; $\sigma : \mathbf{R} \rightarrow \mathbf{R}$ ; confidence 0.988
  
150. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300104.png ; $d ( A , B ) : B ^ { A } \cong A ^ { * } B ^ { * }$ ; confidence 0.988
+
150. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300104.png ; $d ( A , B ) : B ^ { A } \overset{\cong}{\rightarrow} A ^ { * } B ^ { * }$ ; confidence 0.988
  
 
151. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120040/b12004031.png ; $( f _ { n } )$ ; confidence 0.988
 
151. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120040/b12004031.png ; $( f _ { n } )$ ; confidence 0.988
  
152. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130170/b13017021.png ; $d B _ { t } = r B _ { t } d t$ ; confidence 0.988
+
152. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130170/b13017021.png ; $d B _ { t } = r B _ { t } d t,$ ; confidence 0.988
  
 
153. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057670/l05767026.png ; $x , y , z , t \in G$ ; confidence 0.988
 
153. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057670/l05767026.png ; $x , y , z , t \in G$ ; confidence 0.988
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163. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g120040148.png ; $s _ { 0 } > 1$ ; confidence 0.988
 
163. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g120040148.png ; $s _ { 0 } > 1$ ; confidence 0.988
  
164. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030250/d03025010.png ; $\sum _ { k = 1 } ^ { n } l _ { k } \frac { h ^ { k } } { k ! } < 1$ ; confidence 0.988
+
164. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030250/d03025010.png ; $\sum _ { k = 1 } ^ { n } l _ { k } \frac { h ^ { k } } { k ! } < 1,$ ; confidence 0.988
  
 
165. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120120/d12012034.png ; $\Phi g : d g \rightarrow d ^ { \prime } g$ ; confidence 0.988
 
165. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120120/d12012034.png ; $\Phi g : d g \rightarrow d ^ { \prime } g$ ; confidence 0.988
Line 334: Line 334:
 
167. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130170/f13017021.png ; $C V _ { 2 } ( G )$ ; confidence 0.988
 
167. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130170/f13017021.png ; $C V _ { 2 } ( G )$ ; confidence 0.988
  
168. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009023.png ; $\frac { d \tau } { \tau } = p ( f , \tau ) \frac { d f } { f }$ ; confidence 0.988
+
168. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009023.png ; $\frac { d \tau } { \tau } = p ( f , \tau ) \frac { d f } { f },$ ; confidence 0.988
  
 
169. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130130/c13013020.png ; $d K / d t$ ; confidence 0.988
 
169. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130130/c13013020.png ; $d K / d t$ ; confidence 0.988
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173. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120190/m12019025.png ; $x , y , t \geq 1$ ; confidence 0.988
 
173. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120190/m12019025.png ; $x , y , t \geq 1$ ; confidence 0.988
  
174. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130240/f13024039.png ; $\left( \begin{array} { c c } { 0 } & { K ( a , b ) } \\ { 0 } & { 0 } \end{array} \right)$ ; confidence 0.988
+
174. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130240/f13024039.png ; $\left( \begin{array} { c c } { 0 } & { K ( a , b ) } \\ { 0 } & { 0 } \end{array} \right);$ ; confidence 0.988
  
 
175. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130070/z13007029.png ; $x ^ { - 1 } H x = G$ ; confidence 0.988
 
175. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130070/z13007029.png ; $x ^ { - 1 } H x = G$ ; confidence 0.988
Line 366: Line 366:
 
183. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120260/a12026094.png ; $( R , a )$ ; confidence 0.988
 
183. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120260/a12026094.png ; $( R , a )$ ; confidence 0.988
  
184. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130110/m13011065.png ; $u = x - x ^ { 0 }$ ; confidence 0.988
+
184. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130110/m13011065.png ; $\mathbf{u} = \mathbf{x} - \mathbf{x} ^ { 0 }$ ; confidence 0.988
  
 
185. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120030/i1200309.png ; $\epsilon ^ { - 1 }$ ; confidence 0.988
 
185. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120030/i1200309.png ; $\epsilon ^ { - 1 }$ ; confidence 0.988
  
186. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s1305107.png ; $S \neq Z ^ { 0 }$ ; confidence 0.988
+
186. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s1305107.png ; $S \neq \mathbf{Z} ^ { 0 }$ ; confidence 0.988
  
 
187. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120050/s12005081.png ; $S ( z ) = S _ { 1 } ( z ) S _ { 2 } ( z )$ ; confidence 0.988
 
187. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120050/s12005081.png ; $S ( z ) = S _ { 1 } ( z ) S _ { 2 } ( z )$ ; confidence 0.988
Line 384: Line 384:
 
192. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r130080127.png ; $u \in R ( A )$ ; confidence 0.988
 
192. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r130080127.png ; $u \in R ( A )$ ; confidence 0.988
  
193. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w13008081.png ; $y = \Lambda ^ { N } ( w - \frac { 1 } { w } ) , P = \lambda ^ { N } - \sum _ { 2 } ^ { N } u _ { k } \lambda ^ { N - k } = \Lambda ^ { N } ( w + \frac { 1 } { w } )$ ; confidence 0.988
+
193. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w13008081.png ; $y = \Lambda ^ { N } \left( w - \frac { 1 } { w } \right) , P = \lambda ^ { N } - \sum _ { 2 } ^ { N } u _ { k } \lambda ^ { N - k } = \Lambda ^ { N } \left( w + \frac { 1 } { w } \right) .$ ; confidence 0.988
  
194. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120280/s12028025.png ; $\{ X , Y \} \approx \{ D Y , D X \}$ ; confidence 0.988
+
194. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120280/s12028025.png ; $\{ X , Y \} \approx \{ D Y , D X \},$ ; confidence 0.988
  
 
195. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005023.png ; $0 \leq s \leq r \leq t \leq T$ ; confidence 0.988
 
195. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005023.png ; $0 \leq s \leq r \leq t \leq T$ ; confidence 0.988
Line 422: Line 422:
 
211. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130120/p13012042.png ; $\sigma _ { 1 } ^ { 3 } \sigma _ { 2 } ^ { - 1 } \sigma _ { 1 } \sigma _ { 2 } ^ { - 1 }$ ; confidence 0.988
 
211. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130120/p13012042.png ; $\sigma _ { 1 } ^ { 3 } \sigma _ { 2 } ^ { - 1 } \sigma _ { 1 } \sigma _ { 2 } ^ { - 1 }$ ; confidence 0.988
  
212. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130070/g1300704.png ; $A ^ { - 1 }$ ; confidence 0.988
+
212. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130070/g1300704.png ; $\mathcal{A} ^ { - 1 }$ ; confidence 0.988
  
213. https://www.encyclopediaofmath.org/legacyimages/b/b111/b111040/b1110408.png ; $n ^ { p } - n - p \equiv 0 ( \operatorname { mod } p )$ ; confidence 0.988
+
213. https://www.encyclopediaofmath.org/legacyimages/b/b111/b111040/b1110408.png ; $n ^ { p } - n - p \equiv 0 ( \operatorname { mod } p )\text{ for all integers }n. $ ; confidence 0.988
  
 
214. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h120120145.png ; $A _ { \infty }$ ; confidence 0.988
 
214. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h120120145.png ; $A _ { \infty }$ ; confidence 0.988
  
215. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110350/c11035013.png ; $\mu y$ ; confidence 0.988
+
215. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110350/c11035013.png ; $\mu_y$ ; confidence 0.988
  
216. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031380/d031380266.png ; $N$ ; confidence 0.988
+
216. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031380/d031380266.png ; $\mathcal{N}$ ; confidence 0.988
  
217. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130270/b13027012.png ; $T T ^ { * } - T ^ { * } T \in K ( H )$ ; confidence 0.988
+
217. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130270/b13027012.png ; $T T ^ { * } - T ^ { * } T \in \mathcal{K} ( \mathcal{H} )$ ; confidence 0.988
  
218. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120050/b12005038.png ; $M ( A )$ ; confidence 0.988
+
218. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120050/b12005038.png ; $\mathcal{M} ( \mathcal{A} )$ ; confidence 0.988
  
 
219. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b120420159.png ; $\lambda _ { W } : V \otimes W \rightarrow W \otimes V$ ; confidence 0.988
 
219. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b120420159.png ; $\lambda _ { W } : V \otimes W \rightarrow W \otimes V$ ; confidence 0.988
  
220. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120150/t12015045.png ; $\eta \in A ^ { \prime } \rightarrow \pi ^ { \prime } ( \eta ) \xi$ ; confidence 0.988
+
220. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120150/t12015045.png ; $\eta \in \mathcal{A} ^ { \prime } \rightarrow \pi ^ { \prime } ( \eta ) \xi$ ; confidence 0.988
  
 
221. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i130030128.png ; $P _ { + } f = 0$ ; confidence 0.988
 
221. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i130030128.png ; $P _ { + } f = 0$ ; confidence 0.988
  
222. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l057000126.png ; $\alpha \in V$ ; confidence 0.988
+
222. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l057000126.png ; $\alpha \in \mathbf{V}$ ; confidence 0.988
  
 
223. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110040/l11004025.png ; $x , y , z , t$ ; confidence 0.988
 
223. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110040/l11004025.png ; $x , y , z , t$ ; confidence 0.988
Line 448: Line 448:
 
224. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130070/m1300709.png ; $m _ { 0 } > 0$ ; confidence 0.988
 
224. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130070/m1300709.png ; $m _ { 0 } > 0$ ; confidence 0.988
  
225. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120100/l12010072.png ; $\nabla f _ { j } \in L ^ { 2 } ( R ^ { n } )$ ; confidence 0.988
+
225. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120100/l12010072.png ; $\nabla f _ { j } \in L ^ { 2 } ( \mathbf{R} ^ { n } )$ ; confidence 0.988
  
 
226. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130100/l13010061.png ; $a ( x , \alpha , p - q )$ ; confidence 0.988
 
226. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130100/l13010061.png ; $a ( x , \alpha , p - q )$ ; confidence 0.988
Line 454: Line 454:
 
227. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520301.png ; $K = \sum \oplus K _ { \rho _ { \alpha } }$ ; confidence 0.988
 
227. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520301.png ; $K = \sum \oplus K _ { \rho _ { \alpha } }$ ; confidence 0.988
  
228. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840182.png ; $E _ { \lambda } ^ { \prime } < \infty$ ; confidence 0.988
+
228. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840182.png ; $\operatorname{dim} \mathcal{E} _ { \lambda } ^ { \prime } < \infty$ ; confidence 0.988
  
 
229. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120050/i12005085.png ; $e ( T , V ) = \operatorname { lim } _ { n \rightarrow \infty } \frac { m ( n ; T , V ) } { n }$ ; confidence 0.988
 
229. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120050/i12005085.png ; $e ( T , V ) = \operatorname { lim } _ { n \rightarrow \infty } \frac { m ( n ; T , V ) } { n }$ ; confidence 0.988
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230. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120150/p12015068.png ; $r _ { 1 } + r _ { 2 } < 1$ ; confidence 0.988
 
230. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120150/p12015068.png ; $r _ { 1 } + r _ { 2 } < 1$ ; confidence 0.988
  
231. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b1204309.png ; $B \otimes C$ ; confidence 0.988
+
231. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b1204309.png ; $B \otimes \underline{ \ } C$ ; confidence 0.988
  
 
232. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016920/b01692031.png ; $| x - y |$ ; confidence 0.988
 
232. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016920/b01692031.png ; $| x - y |$ ; confidence 0.988
  
233. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m13025028.png ; $( u , v ) \in M ( \Omega )$ ; confidence 0.988
+
233. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m13025028.png ; $( u , v ) \in \mathcal{M} ( \Omega )$ ; confidence 0.988
  
 
234. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120090/m12009053.png ; $1 / P ( \xi )$ ; confidence 0.988
 
234. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120090/m12009053.png ; $1 / P ( \xi )$ ; confidence 0.988
Line 470: Line 470:
 
235. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110020/l11002077.png ; $P \cap P = \{ e \}$ ; confidence 0.988
 
235. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110020/l11002077.png ; $P \cap P = \{ e \}$ ; confidence 0.988
  
236. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030270/d03027012.png ; $f \in C _ { 2 } \pi$ ; confidence 0.988
+
236. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030270/d03027012.png ; $f \in C _ { 2\pi } $ ; confidence 0.988
  
 
237. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130450/s13045056.png ; $( X _ { 2 } , Y _ { 3 } )$ ; confidence 0.988
 
237. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130450/s13045056.png ; $( X _ { 2 } , Y _ { 3 } )$ ; confidence 0.988
Line 490: Line 490:
 
245. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f12023062.png ; $i _ { K } ( \omega \otimes X ) = i _ { K } ( \omega ) \otimes X$ ; confidence 0.988
 
245. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f12023062.png ; $i _ { K } ( \omega \otimes X ) = i _ { K } ( \omega ) \otimes X$ ; confidence 0.988
  
246. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130650/s13065032.png ; $D _ { \mu } ( z ) = \operatorname { exp } \{ \frac { 1 } { 4 \pi } \int _ { - \pi } ^ { \pi } \operatorname { log } \mu ^ { \prime } ( \theta ) R ( e ^ { i \theta } , z ) d \theta \}$ ; confidence 0.988
+
246. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130650/s13065032.png ; $D _ { \mu } ( z ) = \operatorname { exp } \left\{ \frac { 1 } { 4 \pi } \int _ { - \pi } ^ { \pi } \operatorname { log } \mu ^ { \prime } ( \theta ) R ( e ^ { i \theta } , z ) d \theta \right\},$ ; confidence 0.988
  
 
247. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130220/m13022030.png ; $\Gamma _ { 0 } ( 2 )$ ; confidence 0.988
 
247. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130220/m13022030.png ; $\Gamma _ { 0 } ( 2 )$ ; confidence 0.988
  
248. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120140/t120140117.png ; $T _ { \phi } = -$ ; confidence 0.988
+
248. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120140/t120140117.png ; $\operatorname{ind}T _ { \phi } = -\operatorname{wind} \phi.$ ; confidence 0.988
  
 
249. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130110/v13011016.png ; $\Delta U$ ; confidence 0.988
 
249. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130110/v13011016.png ; $\Delta U$ ; confidence 0.988
Line 500: Line 500:
 
250. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110610/a11061087.png ; $f ( \alpha )$ ; confidence 0.988
 
250. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110610/a11061087.png ; $f ( \alpha )$ ; confidence 0.988
  
251. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l1200303.png ; $\operatorname { Map } ( X , Y ) = [ X , Y ]$ ; confidence 0.988
+
251. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l1200303.png ; $\pi_0 \; \operatorname { Map } ( X , Y ) = [ X , Y ]$ ; confidence 0.988
  
 
252. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w13008022.png ; $\lambda _ { 0 } < \ldots < \lambda _ { 2 g }$ ; confidence 0.988
 
252. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w13008022.png ; $\lambda _ { 0 } < \ldots < \lambda _ { 2 g }$ ; confidence 0.988
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253. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059020/l05902047.png ; $0 < x \leq 1$ ; confidence 0.988
 
253. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059020/l05902047.png ; $0 < x \leq 1$ ; confidence 0.988
  
254. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120210/t12021012.png ; $E = 0$ ; confidence 0.988
+
254. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120210/t12021012.png ; $E = \emptyset$ ; confidence 0.988
  
255. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i1300509.png ; $i k$ ; confidence 0.988
+
255. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i1300509.png ; $i k_j$ ; confidence 0.988
  
256. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040511.png ; $\{ F / \Omega C : F \in C \}$ ; confidence 0.988
+
256. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040511.png ; $\{ F / \Omega \mathcal{C} : F \in \mathcal{C} \}$ ; confidence 0.988
  
 
257. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130440/s13044011.png ; $D X$ ; confidence 0.988
 
257. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130440/s13044011.png ; $D X$ ; confidence 0.988
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267. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120020/f12002040.png ; $K [ X ]$ ; confidence 0.988
 
267. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120020/f12002040.png ; $K [ X ]$ ; confidence 0.988
  
268. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120050/b12005072.png ; $M _ { 0 }$ ; confidence 0.988
+
268. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120050/b12005072.png ; $\mathcal{M} _ { 0 }$ ; confidence 0.988
  
 
269. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120170/w12017058.png ; $d \leq l + n - 1$ ; confidence 0.988
 
269. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120170/w12017058.png ; $d \leq l + n - 1$ ; confidence 0.988
Line 544: Line 544:
 
272. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900121.png ; $P = U ^ { * } U$ ; confidence 0.988
 
272. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900121.png ; $P = U ^ { * } U$ ; confidence 0.988
  
273. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240505.png ; $Z _ { 12 } , Z _ { 13 }$ ; confidence 0.988
+
273. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240505.png ; $[ \mathbf{Z} _ { 12 } , \mathbf{Z} _ { 13 } ]$ ; confidence 0.988
  
 
274. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130020/k13002037.png ; $( X _ { 2 } , Y _ { 2 } )$ ; confidence 0.988
 
274. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130020/k13002037.png ; $( X _ { 2 } , Y _ { 2 } )$ ; confidence 0.988
Line 556: Line 556:
 
278. https://www.encyclopediaofmath.org/legacyimages/n/n130/n130060/n13006031.png ; $\mu _ { k } \leq \lambda _ { k }$ ; confidence 0.988
 
278. https://www.encyclopediaofmath.org/legacyimages/n/n130/n130060/n13006031.png ; $\mu _ { k } \leq \lambda _ { k }$ ; confidence 0.988
  
279. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130150/b1301506.png ; $z _ { \Gamma } = O ( \Gamma ^ { - 1 / 2 } )$ ; confidence 0.988
+
279. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130150/b1301506.png ; $z _ { \Gamma } = \mathcal{O} ( \Gamma ^ { - 1 / 2 } )$ ; confidence 0.988
  
 
280. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t120060141.png ; $B \ll Z ^ { 4 / 3 }$ ; confidence 0.988
 
280. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t120060141.png ; $B \ll Z ^ { 4 / 3 }$ ; confidence 0.988
Line 574: Line 574:
 
287. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g120040187.png ; $r > n / 2$ ; confidence 0.987
 
287. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g120040187.png ; $r > n / 2$ ; confidence 0.987
  
288. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f12021031.png ; $L ( u ( z , \lambda ) ) = \pi ( \lambda ) z ^ { \lambda }$ ; confidence 0.987
+
288. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f12021031.png ; $L ( u ( z , \lambda ) ) = \pi ( \lambda ) z ^ { \lambda }.$ ; confidence 0.987
  
 
289. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120040/l12004093.png ; $u _ { R } = 0$ ; confidence 0.987
 
289. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120040/l12004093.png ; $u _ { R } = 0$ ; confidence 0.987
  
290. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130090/m13009013.png ; $( \phi , A ) = 0$ ; confidence 0.987
+
290. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130090/m13009013.png ; $( \phi , \mathbf{A} ) = 0$ ; confidence 0.987
  
 
291. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b120420129.png ; $A ( R )$ ; confidence 0.987
 
291. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b120420129.png ; $A ( R )$ ; confidence 0.987

Latest revision as of 13:55, 17 May 2020

List

1. s130510114.png ; $k = \infty ( K )$ ; confidence 0.989

2. b1301904.png ; $e ( x ) = \operatorname { exp } ( 2 \pi i x )$ ; confidence 0.989

3. f12021080.png ; $\lambda _ { i } - \lambda _ { j } \in \mathbf{N}$ ; confidence 0.989

4. f1101608.png ; $L ( n + 1 )$ ; confidence 0.989

5. d120230153.png ; $( i \times i )$ ; confidence 0.989

6. z13008048.png ; $\left( 4 \frac { \partial ^ { 2 } } { \partial z \partial \overline{z} } - \mathcal{D} ^ { 2 } - 2 ( \alpha + 1 ) \mathcal{D} \right) f =$ ; confidence 0.989

7. c02412069.png ; $L ( s , \chi )$ ; confidence 0.989

8. g04435011.png ; $V _ { F }$ ; confidence 0.989

9. e13005018.png ; $( y - x ) ^ { \alpha + \beta } \left( \frac { \partial u } { \partial y } - \frac { \partial u } { \partial x } \right) | _ { x = y } = \nu ( x ),$ ; confidence 0.989

10. h12001026.png ; $V \rightarrow \mathcal{R}$ ; confidence 0.989

11. c13015011.png ; $\mathcal{E} _ { M } ( \mathcal{D} ( \Omega ) )$ ; confidence 0.989

12. h13006041.png ; $u v = D \alpha D \beta D$ ; confidence 0.989

13. f042070183.png ; $f ( x + y ) = f ( x ) f ( y )$ ; confidence 0.989

14. e120260130.png ; $\Theta ( \mu )$ ; confidence 0.989

15. b12022025.png ; $\varepsilon \rightarrow 0$ ; confidence 0.989

16. w13009021.png ; $G _ { 0 } = \mathbf{R}$ ; confidence 0.989

17. s130510109.png ; $\gamma ( v )$ ; confidence 0.989

18. i12004066.png ; $\sum _ { j = 1 } ^ { n } \frac { \partial r } { \partial \zeta _ { j } } ( \zeta _ { j } ) ( \zeta _ { j } - z _ { j } ) \neq 0$ ; confidence 0.989

19. b1100202.png ; $b ( u , v ) = l ( v ) , \forall v \in V,$ ; confidence 0.989

20. k055840189.png ; $\sum \rho ( \lambda ) \leq \kappa$ ; confidence 0.989

21. h12012082.png ; $\nabla _ { \infty } = \nabla - \phi \Sigma _ { \infty } \nabla$ ; confidence 0.989

22. s12016017.png ; $C ^ { k } ( [ 0,1 ] )$ ; confidence 0.989

23. o13008066.png ; $\int _ { 0 } ^ { \infty } p ( x ) f _ { 1 } ( x , k ) f _ { 2 } ( x , k ) d x = 0$ ; confidence 0.989

24. t12001032.png ; $g ( \xi ^ { a } , \xi ^ { b } ) = \delta _ { a b }$ ; confidence 0.989

25. a1202906.png ; $F _ { \sigma }$ ; confidence 0.989

26. h04807030.png ; $( 0 , \Sigma )$ ; confidence 0.989

27. m12015020.png ; $\int _ { X } f _ { X } ( X ) d X = 1$ ; confidence 0.989

28. i12004052.png ; $f ( z ) = \int \partial_{Df} ( \zeta ) K ( s )$ ; confidence 0.989

29. c130160166.png ; $\mathsf{P}(M \ \text{accepts} \ w) \geq 2 / 3$ ; confidence 0.989

30. f1300909.png ; $\alpha ( x ) = \frac { x + ( x ^ { 2 } + 4 ) ^ { 1 / 2 } } { 2 } , \beta ( x ) = \frac { x - ( x ^ { 2 } + 4 ) ^ { 1 / 2 } } { 2 },$ ; confidence 0.989

31. e13006070.png ; $Q \rightarrow R$ ; confidence 0.989

32. a1100207.png ; $( v , k , \lambda )$ ; confidence 0.989

33. i120080134.png ; $J _ { 2 } < 0$ ; confidence 0.989

34. b12016034.png ; $p _ { 12,3 } = 1$ ; confidence 0.989

35. z13001059.png ; $x ( n )$ ; confidence 0.989

36. i130090114.png ; $\mu _ { p } ( K / k )$ ; confidence 0.989

37. c13006040.png ; $A _ { i } = A ( \Gamma _ { i } )$ ; confidence 0.989

38. l12003056.png ; $H ^ { * } \operatorname { Map } ( B E , X ) \approx T _ { E } H ^ { * } X.$ ; confidence 0.989

39. b12052066.png ; $G = B _ { 0 } ^ { - 1 } F ( x )$ ; confidence 0.989

40. l12017067.png ; $[ R _ { j } , R _ { k } ]$ ; confidence 0.989

41. a12031048.png ; $M ( K )$ ; confidence 0.989

42. b11026028.png ; $k = 2 m$ ; confidence 0.989

43. b13001019.png ; $V : = X / \Gamma$ ; confidence 0.989

44. b1300304.png ; $( x , y , z ) \mapsto \{ x y z \}$ ; confidence 0.989

45. c120210134.png ; $\mathcal{L} _ { 2 } ( \theta )$ ; confidence 0.989

46. s12032016.png ; $[ x , y ] = - ( - 1 ) ^ { p ( x ) p ( y ) } [ y , x ] , [ x , [ y , z ] ] = [ [ x , y ] , z ] + ( - 1 ) ^ { p ( x ) p ( y ) } [ y , [ x , z ] ].$ ; confidence 0.989

47. d13013047.png ; $e = n \hbar / 2 g$ ; confidence 0.989

48. t13005049.png ; $\Lambda ^ { k } ( \mathcal{X} )$ ; confidence 0.989

49. b13009038.png ; $L ^ { 1 } ( \mathbf{R} )$ ; confidence 0.989

50. a110420143.png ; $1$ ; confidence 0.989

51. a130240396.png ; $\mathbf{M} _ { \mathcal{H} }$ ; confidence 0.989

52. b1302903.png ; $d = \operatorname { dim } A$ ; confidence 0.989

53. e12023058.png ; $\mathcal{E} ( L ) = \frac { \partial L } { \partial y } - D \left( \frac { \partial L } { \partial y ^ { \prime } } \right),$ ; confidence 0.989

54. c02547051.png ; $\alpha \wedge ( d \alpha ) ^ { n }$ ; confidence 0.989

55. k12006031.png ; $h ^ { 0 } ( K _ { X } \otimes L ^ { * } )$ ; confidence 0.989

56. z130110147.png ; $\beta = \beta ( \alpha , c ) < 1$ ; confidence 0.989

57. n13003035.png ; $A w$ ; confidence 0.989

58. f12001024.png ; $\sigma( X ) \neq 0$ ; confidence 0.989

59. s1304708.png ; $\lambda \mapsto ( T - \lambda I ) ^ { - 1 }$ ; confidence 0.989

60. s12023015.png ; $- X$ ; confidence 0.989

61. d12020022.png ; $H ( G )$ ; confidence 0.989

62. e12016028.png ; $f ( d t ^ { 2 } - \omega d \theta ^ { 2 } ) - r ^ { 2 } f ^ { - 1 } d \theta ^ { 2 } - \Omega ^ { 2 } ( d r ^ { 2 } + d z ^ { 2 } ),$ ; confidence 0.989

63. h12001033.png ; $\mathcal{I} \subset X ^ { ( 1 ) }$ ; confidence 0.989

64. f13021047.png ; $B ( G _ { 1 } )$ ; confidence 0.989

65. a12025010.png ; $k \leq q + 1$ ; confidence 0.989

66. j130040107.png ; $( v ^ { - 1 } - v ) / z$ ; confidence 0.989

67. h04797078.png ; $\Delta_*$ ; confidence 0.989

68. h120120165.png ; $H ( \pi , n )$ ; confidence 0.989

69. w12006030.png ; $f ( 0 ) = g ( 0 ) = x \in M$ ; confidence 0.989

70. t12021022.png ; $t ( M ; 2,1 )$ ; confidence 0.989

71. s13013018.png ; $S ( F )$ ; confidence 0.989

72. z13002034.png ; $F , F _ { \tau } \subset P$ ; confidence 0.989

73. l0572408.png ; $t \in \mathbf{R} ^ { + }$ ; confidence 0.989

74. g13006034.png ; $A \mathbf{x} = \lambda \mathbf{x}$ ; confidence 0.989

75. m13002023.png ; $8 \pi k$ ; confidence 0.989

76. b12021016.png ; $L ( \lambda )$ ; confidence 0.989

77. s120340199.png ; $( H _ { 1 } , J )$ ; confidence 0.989

78. g12004066.png ; $( x ^ { 0 } , \xi ^ { 0 } ) \notin \Gamma$ ; confidence 0.989

79. e1201205.png ; $\theta ^ { ( 0 ) } \in \Theta$ ; confidence 0.989

80. t12008045.png ; $\epsilon \in \mathcal{O} _ { S } ^ { * }$ ; confidence 0.989

81. a130240542.png ; $( \mathbf{T} _ { 1 } , \mathbf{T} _ { 2 } )$ ; confidence 0.989

82. j1300107.png ; $Q _ { D } ( v , z )$ ; confidence 0.989

83. w120030143.png ; $\gamma _ { 0 } \in \Gamma$ ; confidence 0.989

84. a110680177.png ; $x \leq y$ ; confidence 0.989

85. d12029045.png ; $2\sum _ { q = 1 } ^ { N } \varphi ( q ) f ( q )$ ; confidence 0.989

86. d12030011.png ; $b : \mathbf{R} _ { + } \times \mathbf{R} ^ { n } \rightarrow \mathcal{L} ( \mathbf{R} ^ { n } , \mathbf{R} ^ { n } )$ ; confidence 0.989

87. r13013021.png ; $M = \operatorname { Im } ( P _ { \sigma } )$ ; confidence 0.989

88. k055840141.png ; $T \subset T ^ { + }$ ; confidence 0.989

89. w13008056.png ; $\partial _ { i } \rightarrow \partial _ { i } + \epsilon ( \partial / \partial T _ { i } )$ ; confidence 0.989

90. b12040021.png ; $E _ { m }$ ; confidence 0.989

91. h12001055.png ; $\gamma \wedge ( d \gamma ) ^ { n } \neq 0$ ; confidence 0.989

92. k12008037.png ; $f \rightarrow K _ { p } ( f )$ ; confidence 0.989

93. d12020021.png ; $\mathcal{B} ( H ( G ) )$ ; confidence 0.989

94. n067520220.png ; $M _ { n \times n } ( K )$ ; confidence 0.989

95. o1300202.png ; $| d ( K ) |$ ; confidence 0.989

96. s13047013.png ; $n \geq \nu ( \lambda )$ ; confidence 0.989

97. w130080121.png ; $d Q$ ; confidence 0.989

98. b12031038.png ; $1 / p \geq ( n + 1 + 2 \delta ) / 2 n$ ; confidence 0.989

99. t120140137.png ; $\phi _ { \lambda } \in L ^ { \infty }$ ; confidence 0.989

100. e120190202.png ; $d ( x , y ) \geq 0$ ; confidence 0.989

101. e1201207.png ; $Q ( \theta | \theta ^ { ( t ) } ) = \int \operatorname { log } f ( \theta , \phi ) f ( \phi | \theta ^ { ( t ) } ) d \phi$ ; confidence 0.989

102. w12021066.png ; $s _ { i } > 0$ ; confidence 0.989

103. f120150112.png ; $F ( x ) \in C ^ { k } ( \Omega , Y )$ ; confidence 0.989

104. e035000139.png ; $S ( T , \alpha ) = \mathcal{H} _ { \alpha } ( T (B ( 0,1 ) ) , H ).$ ; confidence 0.989

105. v09690038.png ; $P H$ ; confidence 0.989

106. s13013036.png ; $m ( \chi )$ ; confidence 0.989

107. d11011023.png ; $M = S ^ { 3 }$ ; confidence 0.989

108. m13020023.png ; $j : \mathfrak { g } \rightarrow C ^ { \infty } ( M )$ ; confidence 0.989

109. l06119016.png ; $0 < \lambda \leq 1$ ; confidence 0.989

110. a01052056.png ; $q > 0$ ; confidence 0.989

111. m12003049.png ; $\varepsilon ^ { * } ( T )$ ; confidence 0.989

112. j13002010.png ; $A \subseteq \Gamma _ { p }$ ; confidence 0.989

113. b13003020.png ; $( J , J )$ ; confidence 0.989

114. r13007024.png ; $H _ { + } \subset H _ { 0 } \subset H _ { - }$ ; confidence 0.989

115. e120190151.png ; $[ p , x ] \ni q$ ; confidence 0.989

116. c12005018.png ; $H ^ { p } ( \mathbf{T} )$ ; confidence 0.989

117. d12014076.png ; $\{ x ^ { n } \}$ ; confidence 0.989

118. d12028026.png ; $\phi \in A _ { 0 } ( Q )$ ; confidence 0.989

119. m13019044.png ; $\mathcal{M} _ { - 1 } = 0$ ; confidence 0.989

120. m12007026.png ; $\delta = M ( 1 + x + y - x y ) = 1.7916228\dots$ ; confidence 0.989

121. n13003039.png ; $( \partial ^ { 2 } / \partial x ^ { 2 } + \partial ^ { 2 } / \partial y ^ { 2 } )$ ; confidence 0.989

122. s1304102.png ; $\{ \mu _ { i } \} _ { i = 0 } ^ { N }$ ; confidence 0.989

123. h12012042.png ; $\nabla ^ { \prime }$ ; confidence 0.989

124. b12031060.png ; $[ f _ { S } ^ { + } ( x _ { 0 } ) + f _ { S } ^ { - } ( x _ { 0 } ) ] / 2$ ; confidence 0.989

125. f13021033.png ; $B ( G ) \cap C _ { 00 } ( G ; \mathbf{C} ) \subset A ( G )$ ; confidence 0.989

126. n12002093.png ; $m _ { 0 } < m$ ; confidence 0.989

127. c12023016.png ; $F \cap \mathcal{R}$ ; confidence 0.989

128. s120050106.png ; $S ( z ) = B ( z ) ^ { - 1 } S _ { 0 } ( z )$ ; confidence 0.989

129. k055840319.png ; $J = J ^ { * } = J ^ { - 1 }$ ; confidence 0.989

130. a13026010.png ; $0 < | a _ { n } \zeta ( 3 ) - c _ { n } | < ( \sqrt { 2 } - 1 ) ^ { 4 n }$ ; confidence 0.989

131. a13025028.png ; $L ( V , V ) \oplus V$ ; confidence 0.989

132. w13017063.png ; $k ( e ^ { - i \lambda } )$ ; confidence 0.989

133. t12015064.png ; $( \Delta ^ { \alpha } \xi | \eta ) = ( \xi | \Delta ^ { \overline { \alpha } } \eta )$ ; confidence 0.989

134. i1300507.png ; $t_- ( k )$ ; confidence 0.989

135. r13007031.png ; $H _ { - } \supset H _ { 0 }$ ; confidence 0.989

136. c12008070.png ; $( \Lambda , M )$ ; confidence 0.989

137. e12006019.png ; $x = p ( y )$ ; confidence 0.989

138. t12014038.png ; $\overline { \phi } \in H ^ { \infty }$ ; confidence 0.989

139. a13030027.png ; $\mathbf{R} ^ { + }$ ; confidence 0.989

140. h13009034.png ; $G \rightarrow G ^ { * } \mu$ ; confidence 0.988

141. i12006082.png ; $z \notin \{ x , y \}$ ; confidence 0.988

142. c12003026.png ; $u : I \rightarrow G$ ; confidence 0.988

143. f13010074.png ; $C V _ { p } ( G ) \neq \lambda ^ { p } ( M ^ { 1 } ( G ) )$ ; confidence 0.988

144. c130070224.png ; $( \nu _ { 1 } , \nu _ { 2 } )$ ; confidence 0.988

145. v120020169.png ; $q \circ p ^ { - 1 } ( x ) \subset F ( x )$ ; confidence 0.988

146. l057000197.png ; $[ [ M ] ]_\rho = [ [ M ] ]_\rho [ [ N ] ]_\rho$ ; confidence 0.988

147. b1205301.png ; $T : L ^ { 1 } ( \mu ) \rightarrow L ^ { p } ( \nu )$ ; confidence 0.988

148. l11003040.png ; $L ^ { \prime } ( \mathcal{E} )$ ; confidence 0.988

149. r13009017.png ; $\sigma : \mathbf{R} \rightarrow \mathbf{R}$ ; confidence 0.988

150. a1300104.png ; $d ( A , B ) : B ^ { A } \overset{\cong}{\rightarrow} A ^ { * } B ^ { * }$ ; confidence 0.988

151. b12004031.png ; $( f _ { n } )$ ; confidence 0.988

152. b13017021.png ; $d B _ { t } = r B _ { t } d t,$ ; confidence 0.988

153. l05767026.png ; $x , y , z , t \in G$ ; confidence 0.988

154. k055840265.png ; $p < 0$ ; confidence 0.988

155. b01556073.png ; $K ( z , w )$ ; confidence 0.988

156. b12017047.png ; $W _ { 1 } ^ { 2 }$ ; confidence 0.988

157. j13004017.png ; $P _ { L } ( v , z )$ ; confidence 0.988

158. c12008012.png ; $A = [ A _ { 1 } , A _ { 2 } ]$ ; confidence 0.988

159. f12024067.png ; $u \in C ( J _ { t } )$ ; confidence 0.988

160. q13003025.png ; $P _ { 1 } \psi / ( 1 - p _ { 0 } )$ ; confidence 0.988

161. f1301303.png ; $M \subset E$ ; confidence 0.988

162. j12001073.png ; $J F ( x )$ ; confidence 0.988

163. g120040148.png ; $s _ { 0 } > 1$ ; confidence 0.988

164. d03025010.png ; $\sum _ { k = 1 } ^ { n } l _ { k } \frac { h ^ { k } } { k ! } < 1,$ ; confidence 0.988

165. d12012034.png ; $\Phi g : d g \rightarrow d ^ { \prime } g$ ; confidence 0.988

166. l06003047.png ; $P T \| Q A$ ; confidence 0.988

167. f13017021.png ; $C V _ { 2 } ( G )$ ; confidence 0.988

168. b12009023.png ; $\frac { d \tau } { \tau } = p ( f , \tau ) \frac { d f } { f },$ ; confidence 0.988

169. c13013020.png ; $d K / d t$ ; confidence 0.988

170. i12001036.png ; $L _ { \Phi _ { 1 } } ( \Omega )$ ; confidence 0.988

171. b1100402.png ; $\Theta _ { 1 }$ ; confidence 0.988

172. l057000196.png ; $M \in \Lambda$ ; confidence 0.988

173. m12019025.png ; $x , y , t \geq 1$ ; confidence 0.988

174. f13024039.png ; $\left( \begin{array} { c c } { 0 } & { K ( a , b ) } \\ { 0 } & { 0 } \end{array} \right);$ ; confidence 0.988

175. z13007029.png ; $x ^ { - 1 } H x = G$ ; confidence 0.988

176. a120310132.png ; $A ^ { \infty }$ ; confidence 0.988

177. t120200222.png ; $( K / ( 8 e ( m + K ) ) ) ^ { K }$ ; confidence 0.988

178. f12021050.png ; $\lambda = \lambda _ { i }$ ; confidence 0.988

179. i13001046.png ; $\chi _ { \lambda } \preceq \chi _ { \mu }$ ; confidence 0.988

180. h04601078.png ; $\tau ( W , M _ { 0 } ) = ( - 1 ) ^ { n - 1 } \tau ^ { * } ( W , M _ { 1 } )$ ; confidence 0.988

181. o12006012.png ; $\operatorname { lim } _ { t \rightarrow 0 } \Phi ( t ) / t = 0$ ; confidence 0.988

182. e12006055.png ; $C \Gamma$ ; confidence 0.988

183. a12026094.png ; $( R , a )$ ; confidence 0.988

184. m13011065.png ; $\mathbf{u} = \mathbf{x} - \mathbf{x} ^ { 0 }$ ; confidence 0.988

185. i1200309.png ; $\epsilon ^ { - 1 }$ ; confidence 0.988

186. s1305107.png ; $S \neq \mathbf{Z} ^ { 0 }$ ; confidence 0.988

187. s12005081.png ; $S ( z ) = S _ { 1 } ( z ) S _ { 2 } ( z )$ ; confidence 0.988

188. e12019099.png ; $\sigma ( x , y )$ ; confidence 0.988

189. h04601045.png ; $M _ { 0 } \times [ 0,1 ]$ ; confidence 0.988

190. r130070130.png ; $K ( x , y ) \in H$ ; confidence 0.988

191. r1301609.png ; $\Gamma \in S$ ; confidence 0.988

192. r130080127.png ; $u \in R ( A )$ ; confidence 0.988

193. w13008081.png ; $y = \Lambda ^ { N } \left( w - \frac { 1 } { w } \right) , P = \lambda ^ { N } - \sum _ { 2 } ^ { N } u _ { k } \lambda ^ { N - k } = \Lambda ^ { N } \left( w + \frac { 1 } { w } \right) .$ ; confidence 0.988

194. s12028025.png ; $\{ X , Y \} \approx \{ D Y , D X \},$ ; confidence 0.988

195. a12005023.png ; $0 \leq s \leq r \leq t \leq T$ ; confidence 0.988

196. m12023054.png ; $0 < s < t < T$ ; confidence 0.988

197. s12005064.png ; $A X _ { 1 } = X _ { 2 } A$ ; confidence 0.988

198. h04739017.png ; $J = P _ { + } - P _ { - }$ ; confidence 0.988

199. f12023079.png ; $K \in \Omega ^ { k } ( M ; T M )$ ; confidence 0.988

200. d13013066.png ; $H _ { + } \cap H _ { - }$ ; confidence 0.988

201. k12010053.png ; $z _ { j } ^ { \prime }$ ; confidence 0.988

202. b01544012.png ; $\sigma _ { 2 } ^ { 2 }$ ; confidence 0.988

203. s120040139.png ; $\chi ^ { \lambda } \chi ^ { \mu }$ ; confidence 0.988

204. s120230145.png ; $f ( X X ^ { \prime } )$ ; confidence 0.988

205. a11041057.png ; $n \geq 3$ ; confidence 0.988

206. f120110211.png ; $G ( \zeta )$ ; confidence 0.988

207. a13008036.png ; $\operatorname { ln } ( f ( x ) / g ( x ; m , s ) )$ ; confidence 0.988

208. w1300808.png ; $f _ { g }$ ; confidence 0.988

209. s1300705.png ; $\phi \mapsto \phi \circ f$ ; confidence 0.988

210. b11059060.png ; $O A$ ; confidence 0.988

211. p13012042.png ; $\sigma _ { 1 } ^ { 3 } \sigma _ { 2 } ^ { - 1 } \sigma _ { 1 } \sigma _ { 2 } ^ { - 1 }$ ; confidence 0.988

212. g1300704.png ; $\mathcal{A} ^ { - 1 }$ ; confidence 0.988

213. b1110408.png ; $n ^ { p } - n - p \equiv 0 ( \operatorname { mod } p )\text{ for all integers }n. $ ; confidence 0.988

214. h120120145.png ; $A _ { \infty }$ ; confidence 0.988

215. c11035013.png ; $\mu_y$ ; confidence 0.988

216. d031380266.png ; $\mathcal{N}$ ; confidence 0.988

217. b13027012.png ; $T T ^ { * } - T ^ { * } T \in \mathcal{K} ( \mathcal{H} )$ ; confidence 0.988

218. b12005038.png ; $\mathcal{M} ( \mathcal{A} )$ ; confidence 0.988

219. b120420159.png ; $\lambda _ { W } : V \otimes W \rightarrow W \otimes V$ ; confidence 0.988

220. t12015045.png ; $\eta \in \mathcal{A} ^ { \prime } \rightarrow \pi ^ { \prime } ( \eta ) \xi$ ; confidence 0.988

221. i130030128.png ; $P _ { + } f = 0$ ; confidence 0.988

222. l057000126.png ; $\alpha \in \mathbf{V}$ ; confidence 0.988

223. l11004025.png ; $x , y , z , t$ ; confidence 0.988

224. m1300709.png ; $m _ { 0 } > 0$ ; confidence 0.988

225. l12010072.png ; $\nabla f _ { j } \in L ^ { 2 } ( \mathbf{R} ^ { n } )$ ; confidence 0.988

226. l13010061.png ; $a ( x , \alpha , p - q )$ ; confidence 0.988

227. n067520301.png ; $K = \sum \oplus K _ { \rho _ { \alpha } }$ ; confidence 0.988

228. k055840182.png ; $\operatorname{dim} \mathcal{E} _ { \lambda } ^ { \prime } < \infty$ ; confidence 0.988

229. i12005085.png ; $e ( T , V ) = \operatorname { lim } _ { n \rightarrow \infty } \frac { m ( n ; T , V ) } { n }$ ; confidence 0.988

230. p12015068.png ; $r _ { 1 } + r _ { 2 } < 1$ ; confidence 0.988

231. b1204309.png ; $B \otimes \underline{ \ } C$ ; confidence 0.988

232. b01692031.png ; $| x - y |$ ; confidence 0.988

233. m13025028.png ; $( u , v ) \in \mathcal{M} ( \Omega )$ ; confidence 0.988

234. m12009053.png ; $1 / P ( \xi )$ ; confidence 0.988

235. l11002077.png ; $P \cap P = \{ e \}$ ; confidence 0.988

236. d03027012.png ; $f \in C _ { 2\pi } $ ; confidence 0.988

237. s13045056.png ; $( X _ { 2 } , Y _ { 3 } )$ ; confidence 0.988

238. b120040154.png ; $f \in L _ { 1 } ( \mu )$ ; confidence 0.988

239. b12052071.png ; $F ^ { \prime } ( x _ { 0 } )$ ; confidence 0.988

240. d12007019.png ; $E \rightarrow F$ ; confidence 0.988

241. v096900173.png ; $T f = g$ ; confidence 0.988

242. h046010135.png ; $\tau ( W \times P , M _ { 0 } \times P ) = \tau ( W , M _ { 0 } ) \chi ( P )$ ; confidence 0.988

243. j13002057.png ; $\phi ( x ) = ( 1 + x ) \operatorname { ln } ( 1 + x ) - x$ ; confidence 0.988

244. t12020067.png ; $R _ { n } > 1 / 2$ ; confidence 0.988

245. f12023062.png ; $i _ { K } ( \omega \otimes X ) = i _ { K } ( \omega ) \otimes X$ ; confidence 0.988

246. s13065032.png ; $D _ { \mu } ( z ) = \operatorname { exp } \left\{ \frac { 1 } { 4 \pi } \int _ { - \pi } ^ { \pi } \operatorname { log } \mu ^ { \prime } ( \theta ) R ( e ^ { i \theta } , z ) d \theta \right\},$ ; confidence 0.988

247. m13022030.png ; $\Gamma _ { 0 } ( 2 )$ ; confidence 0.988

248. t120140117.png ; $\operatorname{ind}T _ { \phi } = -\operatorname{wind} \phi.$ ; confidence 0.988

249. v13011016.png ; $\Delta U$ ; confidence 0.988

250. a11061087.png ; $f ( \alpha )$ ; confidence 0.988

251. l1200303.png ; $\pi_0 \; \operatorname { Map } ( X , Y ) = [ X , Y ]$ ; confidence 0.988

252. w13008022.png ; $\lambda _ { 0 } < \ldots < \lambda _ { 2 g }$ ; confidence 0.988

253. l05902047.png ; $0 < x \leq 1$ ; confidence 0.988

254. t12021012.png ; $E = \emptyset$ ; confidence 0.988

255. i1300509.png ; $i k_j$ ; confidence 0.988

256. a130040511.png ; $\{ F / \Omega \mathcal{C} : F \in \mathcal{C} \}$ ; confidence 0.988

257. s13044011.png ; $D X$ ; confidence 0.988

258. l06005066.png ; $Y _ { 0 } x ^ { 0 } + \sum Y _ { t } x ^ { t } = 0$ ; confidence 0.988

259. v12002055.png ; $M _ { k } ( f ) \subset Y$ ; confidence 0.988

260. w1201307.png ; $T + S$ ; confidence 0.988

261. b01667094.png ; $b \geq v$ ; confidence 0.988

262. r11011023.png ; $\{ X ; \preceq \}$ ; confidence 0.988

263. a13007011.png ; $p = 2 ^ { n + 1 } - 1$ ; confidence 0.988

264. b12050016.png ; $t \mapsto M _ { t }$ ; confidence 0.988

265. h13007050.png ; $h < r D$ ; confidence 0.988

266. b1204003.png ; $G \times E \rightarrow E$ ; confidence 0.988

267. f12002040.png ; $K [ X ]$ ; confidence 0.988

268. b12005072.png ; $\mathcal{M} _ { 0 }$ ; confidence 0.988

269. w12017058.png ; $d \leq l + n - 1$ ; confidence 0.988

270. h04601079.png ; $n = \operatorname { dim } W$ ; confidence 0.988

271. r13013033.png ; $P _ { \sigma } P _ { \tau } = 0 = P _ { \tau } P _ { \sigma }$ ; confidence 0.988

272. v096900121.png ; $P = U ^ { * } U$ ; confidence 0.988

273. a130240505.png ; $[ \mathbf{Z} _ { 12 } , \mathbf{Z} _ { 13 } ]$ ; confidence 0.988

274. k13002037.png ; $( X _ { 2 } , Y _ { 2 } )$ ; confidence 0.988

275. a0101802.png ; $n \geq 5$ ; confidence 0.988

276. f13010083.png ; $\sigma ( A _ { p } ( G ) ^ { \prime } , A _ { p } ( G ) )$ ; confidence 0.988

277. l11003020.png ; $\operatorname { inf } ( | \mu | , | \nu | ) = 0$ ; confidence 0.988

278. n13006031.png ; $\mu _ { k } \leq \lambda _ { k }$ ; confidence 0.988

279. b1301506.png ; $z _ { \Gamma } = \mathcal{O} ( \Gamma ^ { - 1 / 2 } )$ ; confidence 0.988

280. t120060141.png ; $B \ll Z ^ { 4 / 3 }$ ; confidence 0.988

281. d12029080.png ; $x _ { n } \in [ 0,1 ]$ ; confidence 0.988

282. b12052067.png ; $G ^ { \prime } ( x ^ { * } )$ ; confidence 0.988

283. s12023065.png ; $K ^ { \prime } = ( K _ { 1 } ^ { \prime } , K _ { 2 } ^ { \prime } )$ ; confidence 0.988

284. w12006068.png ; $B \otimes A \rightarrow A \otimes B$ ; confidence 0.987

285. d0316702.png ; $K ( X , A )$ ; confidence 0.987

286. c120180213.png ; $\tau ^ { - 1 } p$ ; confidence 0.987

287. g120040187.png ; $r > n / 2$ ; confidence 0.987

288. f12021031.png ; $L ( u ( z , \lambda ) ) = \pi ( \lambda ) z ^ { \lambda }.$ ; confidence 0.987

289. l12004093.png ; $u _ { R } = 0$ ; confidence 0.987

290. m13009013.png ; $( \phi , \mathbf{A} ) = 0$ ; confidence 0.987

291. b120420129.png ; $A ( R )$ ; confidence 0.987

292. b11067054.png ; $B ( R )$ ; confidence 0.987

293. f12023096.png ; $[ K , L ] \in \Omega ^ { k + 1 } ( M ; T M )$ ; confidence 0.987

294. f120080164.png ; $B _ { p } ( G )$ ; confidence 0.987

295. t09408030.png ; $( X ; A , B , * )$ ; confidence 0.987

296. d12026028.png ; $w ( t )$ ; confidence 0.987

297. a13002010.png ; $\mu _ { n } = \mu \circ T ^ { - n }$ ; confidence 0.987

298. y12001045.png ; $A = M _ { n } ( k )$ ; confidence 0.987

299. b12037052.png ; $C _ { \Omega ^ { \prime } } ( f )$ ; confidence 0.987

300. r130070127.png ; $K ( x , y ) : = \int _ { T } h ( t , y ) \overline { h ( t , x ) } d m ( t ) =$ ; confidence 0.987

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/NoNroff/17. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/NoNroff/17&oldid=44505