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3. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120050/k12005017.png ; $r ( K _ { X } + B )$ ; confidence 0.643
 
3. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120050/k12005017.png ; $r ( K _ { X } + B )$ ; confidence 0.643
  
−
4. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015160/b0151607.png ; $1$ ; confidence 0.643
+
4. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015160/b0151607.png ; $\mathbf{1}$ ; confidence 0.643
  
 
5. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080180.png ; $\widetilde { F B }$ ; confidence 0.643
 
5. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080180.png ; $\widetilde { F B }$ ; confidence 0.643
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13. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120250/s12025030.png ; $\sqrt { 1 - x ^ { 2 } } w ( x ) > 0$ ; confidence 0.642
 
13. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120250/s12025030.png ; $\sqrt { 1 - x ^ { 2 } } w ( x ) > 0$ ; confidence 0.642
  
−
14. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048070/h04807042.png ; $S = \frac { 1 } { n - 1 } \sum _ { i = 1 } ^ { n } ( X _ { i } - X ) ( X _ { i } - X ) ^ { \prime },$ ; confidence 0.642
+
14. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048070/h04807042.png ; $S = \frac { 1 } { n - 1 } \sum _ { i = 1 } ^ { n } ( X _ { i } - \overline{X} ) ( X _ { i } - \overline{X} ) ^ { \prime },$ ; confidence 0.642
  
 
15. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017380/b01738052.png ; $\phi_j$ ; confidence 0.642
 
15. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017380/b01738052.png ; $\phi_j$ ; confidence 0.642
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18. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110580/a11058065.png ; $l_2$ ; confidence 0.642
 
18. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110580/a11058065.png ; $l_2$ ; confidence 0.642
  
−
19. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f12011090.png ; $F _ { \sigma } \in \widetilde { O } ( ( \Omega + \Gamma _ { \sigma } ) \cap U ).$ ; confidence 0.642
+
19. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f12011090.png ; $F _ { \sigma } \in \widetilde { \mathcal{O} } ( ( \Omega + \Gamma _ { \sigma } ) \cap U ).$ ; confidence 0.642
  
 
20. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035000/e03500038.png ; $N _ { \epsilon } ( C )$ ; confidence 0.642
 
20. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035000/e03500038.png ; $N _ { \epsilon } ( C )$ ; confidence 0.642
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21. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002028.png ; $X \times Y$ ; confidence 0.642
 
21. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002028.png ; $X \times Y$ ; confidence 0.642
  
−
22. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030290/d03029013.png ; $Q \in [ \alpha , b ]$ ; confidence 0.642
+
22. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030290/d03029013.png ; $Q \in [ a , b ]$ ; confidence 0.642
  
 
23. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130060/m1300601.png ; $f _ { 1 } : = x _ { 1 } ^ { d },$ ; confidence 0.642
 
23. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130060/m1300601.png ; $f _ { 1 } : = x _ { 1 } ^ { d },$ ; confidence 0.642
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24. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120220/s12022037.png ; $t \searrow 0$ ; confidence 0.641
 
24. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120220/s12022037.png ; $t \searrow 0$ ; confidence 0.641
  
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25. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006026.png ; $E ^ { TF } ( N ) = \operatorname { inf } \{ \mathcal{E} ( \rho ) : \rho \in L ^ { 5 / 3 } , \int \rho = N , \rho \geq 0 \},$ ; confidence 0.641
+
25. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006026.png ; $E ^ { \text{TF} } ( N ) = \operatorname { inf } \{ \mathcal{E} ( \rho ) : \rho \in L ^ { 5 / 3 } , \int \rho = N , \rho \geq 0 \},$ ; confidence 0.641
  
−
26. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f13010058.png ; $L _ { C } ^ { p } ( G )$ ; confidence 0.641
+
26. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f13010058.png ; $L _ { \text{C} } ^ { p } ( G )$ ; confidence 0.641
  
 
27. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094080/t09408036.png ; $\pi _ { n } ( X ; A , B , * ) = \pi _ { n - 1 } ( \Omega ( X ; A , B ) , * ).$ ; confidence 0.641
 
27. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094080/t09408036.png ; $\pi _ { n } ( X ; A , B , * ) = \pi _ { n - 1 } ( \Omega ( X ; A , B ) , * ).$ ; confidence 0.641
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34. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023089.png ; $E ^ { k } = M \times F \times F ^ { ( 1 ) } \times \ldots F ^ { ( k ) }$ ; confidence 0.641
 
34. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023089.png ; $E ^ { k } = M \times F \times F ^ { ( 1 ) } \times \ldots F ^ { ( k ) }$ ; confidence 0.641
  
−
35. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a13032042.png ; $E _ { \theta } ( N ) = \frac { P _ { \theta } ( S _ { N } = K ) K - P _ { \theta } ( S _ { N } = - J ) J } { 2 \theta - 1 }.$ ; confidence 0.641
+
35. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a13032042.png ; $\mathsf{E} _ { \theta } ( N ) = \frac { \mathsf{P} _ { \theta } ( S _ { N } = K ) K - \mathsf{P} _ { \theta } ( S _ { N } = - J ) J } { 2 \theta - 1 }.$ ; confidence 0.641
  
 
36. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090670/s0906703.png ; $U : \mathcal{C} \rightarrow \operatorname{Set}$ ; confidence 0.641
 
36. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090670/s0906703.png ; $U : \mathcal{C} \rightarrow \operatorname{Set}$ ; confidence 0.641
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39. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130190/c13019048.png ; $A = \operatorname { diag } ( \lambda _ { 1 } , \dots , \lambda _ { n } )$ ; confidence 0.641
 
39. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130190/c13019048.png ; $A = \operatorname { diag } ( \lambda _ { 1 } , \dots , \lambda _ { n } )$ ; confidence 0.641
  
−
40. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170281.png ; $d _ { 2 } ( \theta _ { 2 } ^ { j } )$ ; confidence 0.640
+
40. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170281.png ; $d _ { 2 } ( e _ { 2 } ^ { j } )$ ; confidence 0.640
  
 
41. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130050/m1300501.png ; $a \leftrightarrow b a b ^ { - 1 }$ ; confidence 0.640
 
41. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130050/m1300501.png ; $a \leftrightarrow b a b ^ { - 1 }$ ; confidence 0.640
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45. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130020/h13002064.png ; $R \subseteq A ^ { n }$ ; confidence 0.640
 
45. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130020/h13002064.png ; $R \subseteq A ^ { n }$ ; confidence 0.640
  
−
46. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b12015037.png ; $\text{E} _ { P } ( d _ { 0 } ) = 0$ ; confidence 0.640
+
46. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b12015037.png ; $\text{E} _ { \mathsf{P} } ( d _ { 0 } ) = 0$ ; confidence 0.640
  
−
47. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130100/c13010027.png ; $( C ) \int _ { A } f d m = ( C ) \int f \cdot \chi _ { A } d m$ ; confidence 0.640
+
47. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130100/c13010027.png ; $( C ) \int _ { A } f d m = ( C ) \int f . \chi _ { A } d m$ ; confidence 0.640
  
 
48. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009020.png ; $0 \leq t < \infty$ ; confidence 0.640
 
48. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009020.png ; $0 \leq t < \infty$ ; confidence 0.640
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49. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017037.png ; $\widehat { B^* }  $ ; confidence 0.640
 
49. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017037.png ; $\widehat { B^* }  $ ; confidence 0.640
  
−
50. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a1303205.png ; $E _ { \theta } ( X _ { i } ) = P _ { \theta } ( X _ { i } = 1 ) = \theta = 1 - P _ { \theta } ( X _ { i } = 0 )$ ; confidence 0.640
+
50. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a1303205.png ; $\mathsf{E} _ { \theta } ( X _ { i } ) = \mathsf{P} _ { \theta } ( X _ { i } = 1 ) = \theta = 1 - \mathsf{P} _ { \theta } ( X _ { i } = 0 )$ ; confidence 0.640
  
−
51. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e12010015.png ; $\mathbf{f} ^ { em } = q _ { f } \mathbf{E} + \frac { 1 } { c } \mathbf{J} \times \mathbf{B} + ( \nabla \mathbf{E} ) \mathbf{P} + ( \nabla \mathbf{B} ) M +$ ; confidence 0.640
+
51. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e12010015.png ; $\mathbf{f} ^ { \text{em} } = q _ { f } \mathbf{E} + \frac { 1 } { c } \mathbf{J} \times \mathbf{B} + ( \nabla \mathbf{E} ). \mathbf{P} + ( \nabla \mathbf{B} ). \mathbf{M} +$ ; confidence 0.640
  
 
52. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130040/w13004048.png ; $\operatorname{II}( W , V ) = - \operatorname { Re } ( \eta ( W ) d g ( V ) ).$ ; confidence 0.640
 
52. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130040/w13004048.png ; $\operatorname{II}( W , V ) = - \operatorname { Re } ( \eta ( W ) d g ( V ) ).$ ; confidence 0.640
  
−
53. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130050/r1300508.png ; $\alpha , b \in \Omega$ ; confidence 0.640
+
53. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130050/r1300508.png ; $a , b \in \Omega$ ; confidence 0.640
  
 
54. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120130/l12013020.png ; $x \in \widetilde{\mathbf{Z}}$ ; confidence 0.640
 
54. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120130/l12013020.png ; $x \in \widetilde{\mathbf{Z}}$ ; confidence 0.640
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60. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120340/b12034016.png ; $K_n$ ; confidence 0.639
 
60. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120340/b12034016.png ; $K_n$ ; confidence 0.639
  
−
61. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040338.png ; $\lambda \in \Delta$ ; confidence 0.639
+
61. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040338.png ; $\lambda \in \Lambda$ ; confidence 0.639
  
 
62. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120200/s12020064.png ; $\pi \in S _ { n }$ ; confidence 0.639
 
62. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120200/s12020064.png ; $\pi \in S _ { n }$ ; confidence 0.639
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65. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009062.png ; $\operatorname { Re } h ( z ) > 0$ ; confidence 0.639
 
65. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009062.png ; $\operatorname { Re } h ( z ) > 0$ ; confidence 0.639
  
−
66. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120080/i12008037.png ; $\langle A \rangle _ { T } = Z ^ { - 1 } \operatorname { Tr } [ \operatorname { exp } ( - \frac { \mathcal{H} } { k _ { B } T } ) A ].$ ; confidence 0.639
+
66. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120080/i12008037.png ; $\langle A \rangle _ { T } = Z ^ { - 1 } \operatorname { Tr } \left[ \operatorname { exp } ( - \frac { \mathcal{H} } { k _ { B } T } ) A \right].$ ; confidence 0.639
  
−
67. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062000/m0620002.png ; $( X _ { n } ) _ { n \in Z }$ ; confidence 0.639
+
67. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062000/m0620002.png ; $( X _ { n } ) _ { n \in \mathbf{Z} }$ ; confidence 0.639
  
−
68. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120240/a12024027.png ; $Z ( C )$ ; confidence 0.639
+
68. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120240/a12024027.png ; $Z ( \mathbf{C} )$ ; confidence 0.639
  
 
69. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g13002023.png ; $f _ { 1 } , \ldots , f _ { d }$ ; confidence 0.639
 
69. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g13002023.png ; $f _ { 1 } , \ldots , f _ { d }$ ; confidence 0.639
  
−
70. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130050/v13005078.png ; $V _ { ( n ) } < \infty$ ; confidence 0.639
+
70. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130050/v13005078.png ; $\operatorname {dim} V _ { ( n ) } < \infty$ ; confidence 0.639
  
 
71. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024018.png ; $z_1$ ; confidence 0.638
 
71. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024018.png ; $z_1$ ; confidence 0.638
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74. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j120020178.png ; $U _ { t } ^ { j } = u _ { j } ( B _ { \operatorname { min }( t , \tau ) }  )$ ; confidence 0.638
 
74. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j120020178.png ; $U _ { t } ^ { j } = u _ { j } ( B _ { \operatorname { min }( t , \tau ) }  )$ ; confidence 0.638
  
−
75. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130110/t13011019.png ; $\mathcal{Y} ( T _ { A } ) = \{ N _ { B } : \operatorname { Tor } _ { 1 } ^ { B } ( N , T ) = 0 \},$ ; confidence 0.638
+
75. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130110/t13011019.png ; $\mathcal{Y} ( T _ { A } ) = \left\{ N _ { B } : \operatorname { Tor } _ { 1 } ^ { B } ( N , T ) = 0 \right\},$ ; confidence 0.638
  
 
76. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120210/w12021070.png ; $\{ 0 , \pm x _ { 1 } , \ldots , \pm x _ { k } \}$ ; confidence 0.638
 
76. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120210/w12021070.png ; $\{ 0 , \pm x _ { 1 } , \ldots , \pm x _ { k } \}$ ; confidence 0.638
  
−
77. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w13009056.png ; $f _ { n } \in H ^ { \hat{\otimes} n }$ ; confidence 0.638
+
77. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w13009056.png ; $f _ { n } \in H ^ { \widehat{ \otimes } n }$ ; confidence 0.638
  
 
78. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014092.png ; $K Q$ ; confidence 0.638
 
78. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014092.png ; $K Q$ ; confidence 0.638
  
−
79. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130170/w13017041.png ; $H _ { Z } ( t )$ ; confidence 0.638
+
79. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130170/w13017041.png ; $H _ { z } ( t )$ ; confidence 0.638
  
−
80. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130070/i13007014.png ; $v ( x , \alpha , k ) = A ( \alpha ^ { \prime } , \alpha , k ) \frac { e ^ { i k r} } { r } + o ( \frac { 1 } { r } ),$ ; confidence 0.638
+
80. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130070/i13007014.png ; $v ( x , \alpha , k ) = A ( \alpha ^ { \prime } , \alpha , k ) \frac { e ^ { i k r} } { r } + o \left( \frac { 1 } { r } \right),$ ; confidence 0.638
  
 
81. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120200/s12020046.png ; $k S _ { n }$ ; confidence 0.638
 
81. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120200/s12020046.png ; $k S _ { n }$ ; confidence 0.638
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99. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120250/a12025063.png ; $q + 2$ ; confidence 0.637
 
99. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120250/a12025063.png ; $q + 2$ ; confidence 0.637
  
−
100. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120060/k12006050.png ; $h ^ { i } ( K _ { X } + j L - \sum _ { k = 1 } ^ { r } [ \frac { j \alpha _ { k } } { N } ] D _ { k } ) = 0,$ ; confidence 0.637
+
100. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120060/k12006050.png ; $h ^ { i } \left( K _ { X } + j L - \sum _ { k = 1 } ^ { r } \left[ \frac { j a _ { k } } { N } \right] D _ { k } \right) = 0,$ ; confidence 0.637
  
−
101. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120070/h12007028.png ; $\alpha , b \in A _ { k }$ ; confidence 0.636
+
101. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120070/h12007028.png ; $a , b \in A _ { k }$ ; confidence 0.636
  
 
102. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130020/i13002022.png ; $S _ { k } = \left( \begin{array} { c } { n } \\ { k } \end{array} \right) \frac { ( n - k ) ! } { n ! }$ ; confidence 0.636
 
102. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130020/i13002022.png ; $S _ { k } = \left( \begin{array} { c } { n } \\ { k } \end{array} \right) \frac { ( n - k ) ! } { n ! }$ ; confidence 0.636
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108. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l120120108.png ; $V _ { \text { simp } } ( K _ { p } )$ ; confidence 0.636
 
108. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l120120108.png ; $V _ { \text { simp } } ( K _ { p } )$ ; confidence 0.636
  
−
109. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130220/m13022048.png ; $Z ( g ^ { \alpha } h ^ { c } , g ^ { b } h ^ { d } ; z ) = \alpha Z ( g ,h ; \frac { a z + b } { c z + d } )$ ; confidence 0.636
+
109. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130220/m13022048.png ; $Z ( g ^ { a } h ^ { c } , g ^ { b } h ^ { d } ; z ) = \alpha Z \left( g ,h ; \frac { a z + b } { c z + d } \right)$ ; confidence 0.636
  
−
110. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c120170110.png ; $M _ { Z }$ ; confidence 0.636
+
110. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c120170110.png ; $M _ { z }$ ; confidence 0.636
  
 
111. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f1202109.png ; $a ^ { [ N ] } ( z ) \equiv 1$ ; confidence 0.636
 
111. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f1202109.png ; $a ^ { [ N ] } ( z ) \equiv 1$ ; confidence 0.636
  
−
112. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130090/b13009016.png ; $v \notin [ 0,1$ ; confidence 0.636
+
112. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130090/b13009016.png ; $v \notin [ 0,1]$ ; confidence 0.636
  
−
113. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120320/b12032077.png ; $\alpha _ { 2 } = 1$ ; confidence 0.636
+
113. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120320/b12032077.png ; $a _ { 2 } = 1$ ; confidence 0.636
  
 
114. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096030/v0960301.png ; $\ddot { x } - \mu ( 1 - x ^ { 2 } ) \dot { x } + x = 0 , \quad \mu = \text { const } > 0 , \quad \dot { x } ( t ) \equiv \frac { d x } { d t },$ ; confidence 0.636
 
114. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096030/v0960301.png ; $\ddot { x } - \mu ( 1 - x ^ { 2 } ) \dot { x } + x = 0 , \quad \mu = \text { const } > 0 , \quad \dot { x } ( t ) \equiv \frac { d x } { d t },$ ; confidence 0.636
Line 232: Line 232:
 
116. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120320/b12032068.png ; $x , y , z \in E _ { + }$ ; confidence 0.636
 
116. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120320/b12032068.png ; $x , y , z \in E _ { + }$ ; confidence 0.636
  
−
117. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120280/a12028070.png ; $\mathcal{L} _ { w } ( \mathcal{X} , \mathcal{Y} )$ ; confidence 0.636
+
117. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120280/a12028070.png ; $\mathcal{L} _ { W } ( \mathcal{X} , \mathcal{Y} )$ ; confidence 0.636
  
 
118. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002019.png ; $D _ { 1 }$ ; confidence 0.636
 
118. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002019.png ; $D _ { 1 }$ ; confidence 0.636
  
−
119. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130080/l13008036.png ; $c - 2 \operatorname { deg } l$ ; confidence 0.636
+
119. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130080/l13008036.png ; $c - 2 \operatorname { deg } I$ ; confidence 0.636
  
 
120. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040176.png ; $i = 1 , \ldots , 4$ ; confidence 0.636
 
120. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040176.png ; $i = 1 , \ldots , 4$ ; confidence 0.636
Line 246: Line 246:
 
123. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130020/h13002047.png ; $( \alpha _ { 1 } \cup \gamma , \alpha _ { 2 } , \dots , \alpha _ { q } )$ ; confidence 0.635
 
123. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130020/h13002047.png ; $( \alpha _ { 1 } \cup \gamma , \alpha _ { 2 } , \dots , \alpha _ { q } )$ ; confidence 0.635
  
−
124. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120080/q12008070.png ; $E [ C ]$ ; confidence 0.635
+
124. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120080/q12008070.png ; $\mathsf{E} [ C ]$ ; confidence 0.635
  
 
125. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017083.png ; $\mathcal{C} _ { 1 }$ ; confidence 0.635
 
125. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017083.png ; $\mathcal{C} _ { 1 }$ ; confidence 0.635
Line 258: Line 258:
 
129. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130280/f13028021.png ; $A \mathbf{x}$ ; confidence 0.635
 
129. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130280/f13028021.png ; $A \mathbf{x}$ ; confidence 0.635
  
−
130. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s12023099.png ; $X = G \wedge H$ ; confidence 0.635
+
130. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s12023099.png ; $X = G \Lambda H$ ; confidence 0.635
  
 
131. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150086.png ; $X \times X$ ; confidence 0.635
 
131. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150086.png ; $X \times X$ ; confidence 0.635
Line 264: Line 264:
 
132. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120180/d12018029.png ; $A ( \mathbf{D} )$ ; confidence 0.635
 
132. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120180/d12018029.png ; $A ( \mathbf{D} )$ ; confidence 0.635
  
−
133. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e12010041.png ; $\mathbf{f} ^ { em } = \operatorname { div } \mathbf{t} ^ { em } - \frac { \partial \mathbf{G} ^ { em } } { \partial t }$ ; confidence 0.635
+
133. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e12010041.png ; $\mathbf{f} ^ { \text{em} } = \operatorname { div } \mathbf{t} ^ { \text{em} } - \frac { \partial \mathbf{G} ^ { \text{em} } } { \partial t },$ ; confidence 0.635
  
 
134. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012200/a01220053.png ; $z \in D$ ; confidence 0.635
 
134. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012200/a01220053.png ; $z \in D$ ; confidence 0.635
Line 272: Line 272:
 
136. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130020/f13002019.png ; $\overline { \delta }_{\operatorname{BRST}}$ ; confidence 0.635
 
136. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130020/f13002019.png ; $\overline { \delta }_{\operatorname{BRST}}$ ; confidence 0.635
  
−
137. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120080/i12008076.png ; $\mathcal{P} \equiv \left( \begin{array} { c c } { \operatorname { exp } ( \frac { J + H } { k _ { B } T } ) } & { \operatorname { exp } ( \frac { - J } { k _ { B } T } ) } \\ { \operatorname { exp } ( \frac { - J } { k _ { B } T } ) } & { \operatorname { exp } ( \frac { J - H } { k _ { B } T } ) } \end{array} \right).$ ; confidence 0.635
+
137. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120080/i12008076.png ; $\mathcal{P} \equiv \left( \begin{array} { c c } { \operatorname { exp } \left( \frac { J + H } { k _ { B } T } \right) } & { \operatorname { exp } \left( \frac { - J } { k _ { B } T } \right) } \\ { \operatorname { exp } \left( \frac { - J } { k _ { B } T } \right) } & { \operatorname { exp } \left( \frac { J - H } { k _ { B } T } \right) } \end{array} \right).$ ; confidence 0.635
  
 
138. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024780/c024780257.png ; $V _ { \alpha }$ ; confidence 0.635
 
138. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024780/c024780257.png ; $V _ { \alpha }$ ; confidence 0.635
Line 280: Line 280:
 
140. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110010/k11001048.png ; $T ^ { k }$ ; confidence 0.635
 
140. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110010/k11001048.png ; $T ^ { k }$ ; confidence 0.635
  
−
141. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j130040101.png ; $\mathbf{P} _ { K } ( 1,0 ) = \alpha _ { 2 }$ ; confidence 0.635
+
141. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j130040101.png ; $\mathsf{P} _ { K } ( 1,0 ) = a _ { 2 }$ ; confidence 0.635
  
 
142. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040321.png ; $\mathcal{D}$ ; confidence 0.635
 
142. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040321.png ; $\mathcal{D}$ ; confidence 0.635
  
−
143. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200211.png ; $\operatorname { max } _ { k = 1 , \ldots , n } ( \frac { 1 } { n } | s _ { k } | ) ^ { 1 / k } > \frac { 1 } { 5 } > \frac { 1 } { 2 + \sqrt { 8 } },$ ; confidence 0.635
+
143. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200211.png ; $\operatorname { max } _ { k = 1 , \ldots , n } \left( \frac { 1 } { n } | s _ { k } | \right) ^ { 1 / k } > \frac { 1 } { 5 } > \frac { 1 } { 2 + \sqrt { 8 } },$ ; confidence 0.635
  
 
144. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120100/l120100128.png ; $\rho ( x ) = \sum _ { j = 1 } ^ { N } | u _ { j } ( x ) | ^ { 2 }.$ ; confidence 0.635
 
144. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120100/l120100128.png ; $\rho ( x ) = \sum _ { j = 1 } ^ { N } | u _ { j } ( x ) | ^ { 2 }.$ ; confidence 0.635
  
−
145. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b12015091.png ; $\mathbf{P} _ { 0 } \in P$ ; confidence 0.635
+
145. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b12015091.png ; $\mathsf{P} _ { 0 } \in \mathcal{P}$ ; confidence 0.635
  
 
146. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e1300307.png ; $\mathcal{M} _ { n } = \{ P ( X , Y ) = \sum _ { \nu = 0 } ^ { n } a _ { \nu } X ^ { \nu } Y ^ { n - \nu } : a _ { \nu } \in \mathbf{Q} \},$ ; confidence 0.635
 
146. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e1300307.png ; $\mathcal{M} _ { n } = \{ P ( X , Y ) = \sum _ { \nu = 0 } ^ { n } a _ { \nu } X ^ { \nu } Y ^ { n - \nu } : a _ { \nu } \in \mathbf{Q} \},$ ; confidence 0.635
Line 298: Line 298:
 
149. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240187.png ; $\| \mathbf{y} - \mathbf{Xb} \| ^ { 2 }$ ; confidence 0.634
 
149. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240187.png ; $\| \mathbf{y} - \mathbf{Xb} \| ^ { 2 }$ ; confidence 0.634
  
−
150. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130070/p13007072.png ; $\operatorname { Cap } ( E ) = \operatorname { exp } ( - \operatorname { sup } _ { z \in C ^ { n } } \rho _ { L _ { E } } ( z ) ).$ ; confidence 0.634
+
150. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130070/p13007072.png ; $\operatorname { Cap } ( E ) = \operatorname { exp } \left( - \operatorname { sup } _ { z \in \text{C} ^ { n } } \rho _ { L _ { E } } ( z ) \right).$ ; confidence 0.634
  
 
151. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021110/c02111013.png ; $\rightarrow H ^ { n + 1 } ( X , A ; G ) \rightarrow \dots $ ; confidence 0.634
 
151. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021110/c02111013.png ; $\rightarrow H ^ { n + 1 } ( X , A ; G ) \rightarrow \dots $ ; confidence 0.634
  
−
152. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006080.png ; $E ^ { TF } ( N )$ ; confidence 0.634
+
152. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006080.png ; $E ^ { \text{TF} } ( N )$ ; confidence 0.634
  
−
153. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120150/m12015067.png ; $\frac { 1 } { \beta _ { p } ( a , b ) } | V | ^ { \alpha - ( p + 1 ) / 2 } | I _ { p } + V | ^ { - ( \alpha + b ) },$ ; confidence 0.634
+
153. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120150/m12015067.png ; $\frac { 1 } { \beta _ { p } ( a , b ) } | V | ^ { a - ( p + 1 ) / 2 } | I _ { p } + V | ^ { - ( a + b ) },$ ; confidence 0.634
  
 
154. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t130130123.png ; $\mod \Gamma$ ; confidence 0.634
 
154. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t130130123.png ; $\mod \Gamma$ ; confidence 0.634
  
−
155. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017017.png ; $F ( t ) = \int _ { t } ^ { + \infty } p _ { 0 } ( \alpha - t ) \frac { \Pi ( \alpha ) } { \Pi ( \alpha - t ) } d \alpha,$ ; confidence 0.634
+
155. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017017.png ; $F ( t ) = \int _ { t } ^ { + \infty } p _ { 0 } ( a - t ) \frac { \Pi ( a ) } { \Pi ( a - t ) } d a,$ ; confidence 0.634
  
 
156. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120150/p12015067.png ; $B _ { r _ { 1 } } , B _ { r _ { 2 } }$ ; confidence 0.634
 
156. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120150/p12015067.png ; $B _ { r _ { 1 } } , B _ { r _ { 2 } }$ ; confidence 0.634
Line 322: Line 322:
 
161. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120220/s12022075.png ; $\operatorname { spec } ( M , \Delta ^ { ( 0 ) } ) , \ldots , \operatorname { spec } ( M , \Delta ^ { ( \dim M ) } )$ ; confidence 0.633
 
161. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120220/s12022075.png ; $\operatorname { spec } ( M , \Delta ^ { ( 0 ) } ) , \ldots , \operatorname { spec } ( M , \Delta ^ { ( \dim M ) } )$ ; confidence 0.633
  
−
162. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130050/q13005064.png ; $\operatorname{QS} ( T ) = \cup _ { M \geq 1 } M$ ; confidence 0.633
+
162. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130050/q13005064.png ; $\operatorname{QS} ( \mathbf{T} ) = \cup _ { M \geq 1 } M$ ; confidence 0.633
  
 
163. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130100/r13010037.png ; $\mathbf{E} _ { n }$ ; confidence 0.633
 
163. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130100/r13010037.png ; $\mathbf{E} _ { n }$ ; confidence 0.633
Line 328: Line 328:
 
164. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e12012046.png ; $z \in ( 1 , \dots , M )$ ; confidence 0.633
 
164. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e12012046.png ; $z \in ( 1 , \dots , M )$ ; confidence 0.633
  
−
165. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130140/p13014058.png ; $\psi ( \gamma ) = \frac { 2 } { \pi ^ { 2 } \gamma } + O ( \frac { 1 } { \gamma ^ { 3 } } ) \text { as } \gamma \rightarrow + \infty.$ ; confidence 0.633
+
165. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130140/p13014058.png ; $\psi ( \gamma ) = \frac { 2 } { \pi ^ { 2 } \gamma } + O \left( \frac { 1 } { \gamma ^ { 3 } } \right) \text { as } \gamma \rightarrow + \infty.$ ; confidence 0.633
  
 
166. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001060.png ; $S ^ { 3 } / \Gamma$ ; confidence 0.633
 
166. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001060.png ; $S ^ { 3 } / \Gamma$ ; confidence 0.633
  
−
167. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130040/b13004016.png ; $\{ l _ { n } \} _ { n = 0 } ^ { \infty }$ ; confidence 0.633
+
167. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130040/b13004016.png ; $\{ I _ { n } \} _ { n = 0 } ^ { \infty }$ ; confidence 0.633
  
 
168. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120270/s12027026.png ; $Q_l ^ { B }$ ; confidence 0.633
 
168. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120270/s12027026.png ; $Q_l ^ { B }$ ; confidence 0.633
  
−
169. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120070/c12007071.png ; $A b ^ { Z C }$ ; confidence 0.633
+
169. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120070/c12007071.png ; $\text{Ab} ^ { \text{ZC} }$ ; confidence 0.633
  
 
170. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j13004018.png ; $\mathbf{Z} [ v ^ { \pm 1 } , z ^ { \pm 1 } ]$ ; confidence 0.633
 
170. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j13004018.png ; $\mathbf{Z} [ v ^ { \pm 1 } , z ^ { \pm 1 } ]$ ; confidence 0.633
  
−
171. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130170/w13017031.png ; $y _ { t } ^ { ( l ) }$ ; confidence 0.633
+
171. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130170/w13017031.png ; $y _ { t } ^ { ( i ) }$ ; confidence 0.633
  
 
172. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120140/p12014031.png ; $H$ ; confidence 0.632
 
172. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120140/p12014031.png ; $H$ ; confidence 0.632
Line 346: Line 346:
 
173. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120010/h12001052.png ; $\alpha \wedge \beta ^ { n } \neq 0$ ; confidence 0.632
 
173. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120010/h12001052.png ; $\alpha \wedge \beta ^ { n } \neq 0$ ; confidence 0.632
  
−
174. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120100/i12010052.png ; $R _ { 1414 } = \alpha _ { 1 } , R _ { 2323 } = \alpha _ { 1 } , R _ { 3434 } = \alpha _ { 2 } , R _ { 1234 } = \alpha _ { 1 } , R _ { 1324 } = - \alpha _ { 1 } , R _ { 1423 } = \alpha _ { 2 },$ ; confidence 0.632
+
174. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120100/i12010052.png ; $R _ { 1414 } = a _ { 1 } , R _ { 2323 } = a _ { 1 } , R _ { 3434 } = a _ { 2 } , R _ { 1234 } = a _ { 1 } , R _ { 1324 } = - a _ { 1 } , R _ { 1423 } = a _ { 2 },$ ; confidence 0.632
  
 
175. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040232.png ; $E ( \varphi , \psi ) = \{ \epsilon _ { i } ( \varphi , \psi ) : i \in I \}$ ; confidence 0.632
 
175. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040232.png ; $E ( \varphi , \psi ) = \{ \epsilon _ { i } ( \varphi , \psi ) : i \in I \}$ ; confidence 0.632
Line 352: Line 352:
 
176. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120270/s12027013.png ; $R _ { n } = I - Q _ { n }$ ; confidence 0.632
 
176. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120270/s12027013.png ; $R _ { n } = I - Q _ { n }$ ; confidence 0.632
  
−
177. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c12017015.png ; $K \subset \mathbf{C}$ ; confidence 0.632
+
177. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c12017015.png ; $K \subseteq \mathbf{C}$ ; confidence 0.632
  
−
178. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b017470280.png ; $m$ ; confidence 0.632
+
178. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b017470280.png ; $m_{ij}$ ; confidence 0.632
  
 
179. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130030/h13003060.png ; $g ( z ) = r ( z ) + \sum _ { i = 1 } ^ { \infty } s _ { 2 m + i } z ^ { - ( 2 m + i ) }$ ; confidence 0.632
 
179. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130030/h13003060.png ; $g ( z ) = r ( z ) + \sum _ { i = 1 } ^ { \infty } s _ { 2 m + i } z ^ { - ( 2 m + i ) }$ ; confidence 0.632
Line 368: Line 368:
 
184. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015160/b01516022.png ; $x _ { 0 } > 0$ ; confidence 0.632
 
184. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015160/b01516022.png ; $x _ { 0 } > 0$ ; confidence 0.632
  
−
185. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b120150107.png ; $\mathbf{P} _ { n }$ ; confidence 0.632
+
185. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b120150107.png ; $\mathsf{P} _ { n }$ ; confidence 0.632
  
−
186. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040797.png ; $C \in K_0$ ; confidence 0.632
+
186. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040797.png ; $\mathbf{C} \in \mathsf{K}_0$ ; confidence 0.632
  
 
187. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110250/a11025019.png ; $T _ { 0 }$ ; confidence 0.632
 
187. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110250/a11025019.png ; $T _ { 0 }$ ; confidence 0.632
Line 390: Line 390:
 
195. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120150/l12015014.png ; $( A , [. ,. ] )$ ; confidence 0.632
 
195. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120150/l12015014.png ; $( A , [. ,. ] )$ ; confidence 0.632
  
−
196. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120180/a12018050.png ; $\operatorname { lim } _ { n \rightarrow \infty } \frac { T _ { x } - S } { S _ { n } - S } = 0.$ ; confidence 0.632
+
196. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120180/a12018050.png ; $\operatorname { lim } _ { n \rightarrow \infty } \frac { T _ { n } - S } { S _ { n } - S } = 0.$ ; confidence 0.632
  
−
197. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120260/s12026053.png ; $\partial _ { S }$ ; confidence 0.631
+
197. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120260/s12026053.png ; $\partial _ { s }$ ; confidence 0.631
  
 
198. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011094.png ; $T \in \operatorname{GL} ( n , \mathbf{R} )$ ; confidence 0.631
 
198. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011094.png ; $T \in \operatorname{GL} ( n , \mathbf{R} )$ ; confidence 0.631
  
−
199. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130170/w13017020.png ; $\mathbf{E} \varepsilon _ { t } \varepsilon _ { s } ^ { \prime } = \delta _ { s t } \Sigma$ ; confidence 0.631
+
199. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130170/w13017020.png ; $\mathsf{E} \varepsilon _ { t } \varepsilon _ { s } ^ { \prime } = \delta _ { s t } \Sigma$ ; confidence 0.631
  
 
200. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130090/p1300906.png ; $B ( x _ { 0 } , r ) = \{ x \in \mathbf{R} ^ { n } : | x - x _ { 0 } | < r \}$ ; confidence 0.631
 
200. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130090/p1300906.png ; $B ( x _ { 0 } , r ) = \{ x \in \mathbf{R} ^ { n } : | x - x _ { 0 } | < r \}$ ; confidence 0.631
Line 408: Line 408:
 
204. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120280/a120280172.png ; $\pi ( a ) M ^ { U } ( [ t , \infty ) ) \subseteq M ^ { U } ( [ t + s , \infty ) )$ ; confidence 0.631
 
204. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120280/a120280172.png ; $\pi ( a ) M ^ { U } ( [ t , \infty ) ) \subseteq M ^ { U } ( [ t + s , \infty ) )$ ; confidence 0.631
  
−
205. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130080/o1300806.png ; $( l _ { m } - k ^ { 2 } ) f _ { m } = 0,$ ; confidence 0.631
+
205. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130080/o1300806.png ; $( \text{l} _ { m } - k ^ { 2 } ) f _ { m } = 0,$ ; confidence 0.631
  
 
206. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w13009092.png ; $g _ { j } \in L ^ { 2 } ( [ 0,1 ] )$ ; confidence 0.631
 
206. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w13009092.png ; $g _ { j } \in L ^ { 2 } ( [ 0,1 ] )$ ; confidence 0.631
  
−
207. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240353.png ; $\mathbf{E} ( \mathbf{Z} _ { 3 } ) = 0$ ; confidence 0.631
+
207. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240353.png ; $\mathsf{E} ( \mathbf{Z} _ { 3 } ) = 0$ ; confidence 0.631
  
−
208. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120020/b12002054.png ; $+ O ( \frac { ( \operatorname { log } n ) ^ { 1 / 2 } ( \operatorname { log } \operatorname { log } n ) ^ { 1 / 4 } } { n ^ { 3 / 4 } } ) \text{ a.s..}$ ; confidence 0.631
+
208. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120020/b12002054.png ; $+ O \left( \frac { ( \operatorname { log } n ) ^ { 1 / 2 } ( \operatorname { log } \operatorname { log } n ) ^ { 1 / 4 } } { n ^ { 3 / 4 } } \right) \text{ a.s..}$ ; confidence 0.631
  
−
209. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130220/b13022040.png ; $\gamma_jj = 0$ ; confidence 0.631
+
209. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130220/b13022040.png ; $\gamma_j = 0$ ; confidence 0.631
  
 
210. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w13009019.png ; $\{ F _ { n } \} _ { n = 0 } ^ { \infty }$ ; confidence 0.631
 
210. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w13009019.png ; $\{ F _ { n } \} _ { n = 0 } ^ { \infty }$ ; confidence 0.631
  
−
211. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b12043095.png ; $B U _ { q } ( g )$ ; confidence 0.631
+
211. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b12043095.png ; $B U _ { q } ( \mathfrak{g} )$ ; confidence 0.631
  
 
212. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120100/k12010015.png ; $t _ { \operatorname { min } } < t _ { 1 } < \ldots < t _ { m } < t _ { \operatorname { max } }$ ; confidence 0.631
 
212. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120100/k12010015.png ; $t _ { \operatorname { min } } < t _ { 1 } < \ldots < t _ { m } < t _ { \operatorname { max } }$ ; confidence 0.631
  
−
213. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t130050114.png ; $\sigma _ { \pi } ( A , \mathcal{X} ) = \sigma _ { \delta } ( A , \mathcal{X} ) = \sigma _ { T } ( A , \mathcal{X} )$ ; confidence 0.631
+
213. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t130050114.png ; $\sigma _ { \pi } ( A , \mathcal{X} ) = \sigma _ { \delta } ( A , \mathcal{X} ) = \sigma _ { \text{T} } ( A , \mathcal{X} )$ ; confidence 0.631
  
 
214. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015033.png ; $\operatorname{ad}( \mathfrak{g} ) = \operatorname { Der } (\mathfrak{g} )$ ; confidence 0.631
 
214. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015033.png ; $\operatorname{ad}( \mathfrak{g} ) = \operatorname { Der } (\mathfrak{g} )$ ; confidence 0.631
Line 478: Line 478:
 
239. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020197.png ; $H ^ { n } ( S ^ { n } )$ ; confidence 0.629
 
239. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020197.png ; $H ^ { n } ( S ^ { n } )$ ; confidence 0.629
  
−
240. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130060/h13006030.png ; $\widetilde { D } = \{ \alpha \in G : \alpha D \alpha ^ { - 1 } \text { is commensurable with} D\}$ ; confidence 0.629
+
240. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130060/h13006030.png ; $\widetilde { D } = \{ \alpha \in G : \alpha D \alpha ^ { - 1 } \text { is commensurable with} \ D\}$ ; confidence 0.629
  
 
241. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120210/e12021041.png ; $p _ { m } ( z ) = m ! \sum _ { 0 \leq n \leq m - 1 } b _ { m } ( n + 1 ) z ^ { n } , \quad z \in \mathbf{C},$ ; confidence 0.629
 
241. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120210/e12021041.png ; $p _ { m } ( z ) = m ! \sum _ { 0 \leq n \leq m - 1 } b _ { m } ( n + 1 ) z ^ { n } , \quad z \in \mathbf{C},$ ; confidence 0.629
Line 522: Line 522:
 
261. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f12011044.png ; $x \notin - \Delta ^ { \circ }$ ; confidence 0.628
 
261. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f12011044.png ; $x \notin - \Delta ^ { \circ }$ ; confidence 0.628
  
−
262. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b12022072.png ; $\partial _ { t } \eta ( u ) + \operatorname { div } _ { X } G ( u ) \leq 0$ ; confidence 0.627
+
262. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b12022072.png ; $\partial _ { t } \eta ( u ) + \operatorname { div } _ { x } G ( u ) \leq 0,$ ; confidence 0.627
  
 
263. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130230/b13023047.png ; $\operatorname { St } _ { G } ( u )$ ; confidence 0.627
 
263. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130230/b13023047.png ; $\operatorname { St } _ { G } ( u )$ ; confidence 0.627
  
−
264. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s12023044.png ; $\frac { 1 } { ( 2 \pi ) ^ { n p / 2 } } | \Sigma | ^ { - n / 2 } \operatorname { etr } \{ - \frac { 1 } { 2 } \Sigma ^ { - 1 } X X ^ { \prime } \} , X \in R ^ { p \times n }$ ; confidence 0.627
+
264. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s12023044.png ; $\frac { 1 } { ( 2 \pi ) ^ { n p / 2 } } | \Sigma | ^ { - n / 2 } \operatorname { etr } \left\{ - \frac { 1 } { 2 } \Sigma ^ { - 1 } X X ^ { \prime } \right\} , X \in \mathbf{R} ^ { p \times n },$ ; confidence 0.627
  
−
265. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052030.png ; $3 + 2$ ; confidence 0.627
+
265. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052030.png ; $3 / 2$ ; confidence 0.627
  
 
266. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020030/c0200305.png ; $P \subset X$ ; confidence 0.627
 
266. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020030/c0200305.png ; $P \subset X$ ; confidence 0.627
Line 534: Line 534:
 
267. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020115.png ; $x _ { 0 } \in F ( x _ { 0 } )$ ; confidence 0.627
 
267. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020115.png ; $x _ { 0 } \in F ( x _ { 0 } )$ ; confidence 0.627
  
−
268. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130100/p130100137.png ; $K \subset C ^ { n + 1 }$ ; confidence 0.627
+
268. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130100/p130100137.png ; $K \subset \mathbf{C} ^ { n + 1 }$ ; confidence 0.627
  
 
269. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080215.png ; $W = p ^ { n + 1 } - q _ { 1 } p ^ { n - 1 } - \ldots - q _ { n }$ ; confidence 0.627
 
269. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080215.png ; $W = p ^ { n + 1 } - q _ { 1 } p ^ { n - 1 } - \ldots - q _ { n }$ ; confidence 0.627
  
−
270. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m1302507.png ; $0 = ( \delta ( x ) x ) \operatorname { vp } \frac { 1 } { x } \neq \delta ( x ) ( x \vee p \frac { 1 } { x } ) = \delta ( x )$ ; confidence 0.627
+
270. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m1302507.png ; $0 = ( \delta ( x ) x ) \operatorname { vp } \frac { 1 } { x } \neq \delta ( x ) \left( x \operatorname{vp} \frac { 1 } { x } \right) = \delta ( x )$ ; confidence 0.627
  
 
271. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t13005082.png ; $\sigma _ { \delta }$ ; confidence 0.627
 
271. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t13005082.png ; $\sigma _ { \delta }$ ; confidence 0.627
Line 546: Line 546:
 
273. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130010/i13001053.png ; $\lambda = ( \lambda _ { 1 } , \dots , \lambda _ { s } , \dots , \lambda _ { t } )$ ; confidence 0.627
 
273. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130010/i13001053.png ; $\lambda = ( \lambda _ { 1 } , \dots , \lambda _ { s } , \dots , \lambda _ { t } )$ ; confidence 0.627
  
−
274. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g12004067.png ; $\Gamma \subset \Omega \times ( R ^ { n } \backslash \{ 0 \} )$ ; confidence 0.627
+
274. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g12004067.png ; $\Gamma \subset \Omega \times ( \mathbf{R} ^ { n } \backslash \{ 0 \} )$ ; confidence 0.627
  
 
275. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012086.png ; $c _ { t } ^ { \prime } > c _ { t }$ ; confidence 0.627
 
275. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012086.png ; $c _ { t } ^ { \prime } > c _ { t }$ ; confidence 0.627
  
−
276. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120320/b12032088.png ; $a _ { n } i = ( a _ { n } )$ ; confidence 0.627
+
276. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120320/b12032088.png ; $a _ { n^i } = ( a _ { n } )^i$ ; confidence 0.627
  
−
277. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120150/s120150127.png ; $G \nmid G$ ; confidence 0.627
+
277. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120150/s120150127.png ; $G /G_x$ ; confidence 0.627
  
 
278. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i130030161.png ; $l ^ { 2 } ( \Gamma )$ ; confidence 0.627
 
278. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i130030161.png ; $l ^ { 2 } ( \Gamma )$ ; confidence 0.627
  
−
279. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032027.png ; $i m + 1$ ; confidence 0.627
+
279. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032027.png ; $u_{m + 1}$ ; confidence 0.627
  
 
280. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120280/a12028071.png ; $\rho \otimes x$ ; confidence 0.627
 
280. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120280/a12028071.png ; $\rho \otimes x$ ; confidence 0.627
  
−
281. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s120230143.png ; $S _ { i } > 0 , i = 1 , \dots , r$ ; confidence 0.627
+
281. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s120230143.png ; $S _ { i } > 0 , i = 1 , \dots , r.$ ; confidence 0.627
  
 
282. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130020/k13002014.png ; $y _ { j } < y _ { k }$ ; confidence 0.627
 
282. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130020/k13002014.png ; $y _ { j } < y _ { k }$ ; confidence 0.627
  
−
283. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120190/m12019030.png ; $= \pi ^ { 2 } \sqrt { \frac { \pi } { 2 } } \int _ { 0 } ^ { \infty } \tau \frac { \operatorname { sinh } ( \pi \tau ) } { \operatorname { cosh } ^ { 3 } ( \pi \tau ) } P _ { i \tau - 1 / 2 } ( x ) F ( \tau ) G ( \tau ) d \tau$ ; confidence 0.627
+
283. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120190/m12019030.png ; $= \pi ^ { 2 } \sqrt { \frac { \pi } { 2 } } \int _ { 0 } ^ { \infty } \tau \frac { \operatorname { sinh } ( \pi \tau ) } { \operatorname { cosh } ^ { 3 } ( \pi \tau ) } P _ { i \tau - 1 / 2 } ( x ) F ( \tau ) G ( \tau ) d \tau,$ ; confidence 0.627
  
−
284. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120190/t12019021.png ; $f ( k - 1 )$ ; confidence 0.627
+
284. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120190/t12019021.png ; $n/ ( k - 1 )$ ; confidence 0.627
  
−
285. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022110/c02211030.png ; $p _ { i } ( \theta ) = P \{ X _ { i } \in ( x _ { i } - 1 , x _ { i } ] \} > 0$ ; confidence 0.626
+
285. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022110/c02211030.png ; $p _ { i } ( \theta ) = \mathsf{P} \{ X _ { i } \in ( x _ { i - 1} , x _ { i } ] \} > 0,$ ; confidence 0.626
  
−
286. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240206.png ; $k ( X ) = r$ ; confidence 0.626
+
286. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240206.png ; $\operatorname{rank} ( \mathbf{X} ) = r$ ; confidence 0.626
  
−
287. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e1300303.png ; $\rho : G / Q \rightarrow GL ( M )$ ; confidence 0.626
+
287. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e1300303.png ; $\rho : G / \mathbf{Q} \rightarrow \operatorname{GL} (\mathcal{M} )$ ; confidence 0.626
  
−
288. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t120060108.png ; $\rho _ { atom } ^ { TF } ( x , N = Z , Z ) \sim \gamma ^ { 3 } ( \frac { 3 } { \pi } ) ^ { 3 } | x | ^ { - 6 }$ ; confidence 0.626
+
288. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t120060108.png ; $\rho _ { \text{atom} } ^ { \text{TF} } ( x , N = Z , Z ) \sim \gamma ^ { 3 } \left( \frac { 3 } { \pi } \right) ^ { 3 } | x | ^ { - 6 },$ ; confidence 0.626
  
−
289. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130100/z13010037.png ; $\forall x \forall y \exists z \forall v ( v \in z \leftrightarrow ( v = x \vee v = y ) )$ ; confidence 0.626
+
289. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130100/z13010037.png ; $\forall x \forall y \exists z \forall v ( v \in z \leftrightarrow ( v = x \vee v = y ) ).$ ; confidence 0.626
  
−
290. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i13003030.png ; $Ch ( [ a ] ) T ( M )$ ; confidence 0.626
+
290. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i13003030.png ; $\operatorname{Ch} ( [ a ] ) \mathcal{T} ( M )$ ; confidence 0.626
  
 
291. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005047.png ; $i = 1 , \ldots , k$ ; confidence 0.626
 
291. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005047.png ; $i = 1 , \ldots , k$ ; confidence 0.626
  
−
292. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130120/w1301203.png ; $CL ( X )$ ; confidence 0.626
+
292. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130120/w1301203.png ; $\operatorname{CL} ( X )$ ; confidence 0.626
  
 
293. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180427.png ; $( q _ { 1 } , \dots , q _ { m } )$ ; confidence 0.626
 
293. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180427.png ; $( q _ { 1 } , \dots , q _ { m } )$ ; confidence 0.626
  
−
294. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023130/c02313056.png ; $B + A$ ; confidence 0.626
+
294. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023130/c02313056.png ; $B / A$ ; confidence 0.626
  
−
295. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240433.png ; $A \Theta B$ ; confidence 0.626
+
295. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240433.png ; $\mathbf{A} \Theta \mathbf{B}$ ; confidence 0.626
  
−
296. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120040/i12004044.png ; $s = ( s _ { 1 } , \dots , s _ { n } ) : \partial D \times D \rightarrow C ^ { n }$ ; confidence 0.626
+
296. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120040/i12004044.png ; $s = ( s _ { 1 } , \dots , s _ { n } ) : \partial D \times D \rightarrow \mathbf{C} ^ { n }$ ; confidence 0.626
  
−
297. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110197.png ; $G _ { X } ( X - Y \leq \rho ^ { 2 } \Rightarrow G _ { Y } \leq C G _ { X }$ ; confidence 0.626
+
297. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110197.png ; $G _ { X } ( X - Y) \leq \rho ^ { 2 } \Rightarrow G _ { Y } \leq C G _ { X };$ ; confidence 0.626
  
 
298. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013044.png ; $F _ { j k } =$ ; confidence 0.626
 
298. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013044.png ; $F _ { j k } =$ ; confidence 0.626
  
−
299. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010080/a01008024.png ; $M$ ; confidence 0.626
+
299. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010080/a01008024.png ; $\mathcal{M}$ ; confidence 0.626
  
 
300. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b120420115.png ; $U _ { q } ( \mathfrak { g } )$ ; confidence 0.626
 
300. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b120420115.png ; $U _ { q } ( \mathfrak { g } )$ ; confidence 0.626

Latest revision as of 15:12, 10 May 2020

List

1. l11002031.png ; $f , g \in C [ \mathbf{R} ]$ ; confidence 0.643

2. n1200303.png ; $o : 1 \rightarrow N$ ; confidence 0.643

3. k12005017.png ; $r ( K _ { X } + B )$ ; confidence 0.643

4. b0151607.png ; $\mathbf{1}$ ; confidence 0.643

5. w130080180.png ; $\widetilde { F B }$ ; confidence 0.643

6. c120180469.png ; $\pi _ { 0 } : N _ { 0 } \rightarrow N$ ; confidence 0.643

7. c0215409.png ; $x \in A ^ { + }$ ; confidence 0.643

8. w12021023.png ; $\{ A _ { i } \} _ { i = 1 } ^ { k }$ ; confidence 0.642

9. l12020010.png ; $\operatorname{cat}_{\mathbf{R} P ^ { n }} \mathbf{R}P^n \geq n + 1$ ; confidence 0.642

10. d1200704.png ; $\sigma _ { 1 } , \ldots , \sigma _ { t }$ ; confidence 0.642

11. d1201606.png ; $C ( S \times T )$ ; confidence 0.642

12. t1200806.png ; $F ( x , y ) = a p _ { 1 } ^ { z _ { 1 } } \dots p _ { s } ^ { z _ { s } }$ ; confidence 0.642

13. s12025030.png ; $\sqrt { 1 - x ^ { 2 } } w ( x ) > 0$ ; confidence 0.642

14. h04807042.png ; $S = \frac { 1 } { n - 1 } \sum _ { i = 1 } ^ { n } ( X _ { i } - \overline{X} ) ( X _ { i } - \overline{X} ) ^ { \prime },$ ; confidence 0.642

15. b01738052.png ; $\phi_j$ ; confidence 0.642

16. c13026030.png ; $\langle [ A ] , \phi \rangle = \int _ { \operatorname { reg } A } \phi.$ ; confidence 0.642

17. a13024048.png ; $s \times p$ ; confidence 0.642

18. a11058065.png ; $l_2$ ; confidence 0.642

19. f12011090.png ; $F _ { \sigma } \in \widetilde { \mathcal{O} } ( ( \Omega + \Gamma _ { \sigma } ) \cap U ).$ ; confidence 0.642

20. e03500038.png ; $N _ { \epsilon } ( C )$ ; confidence 0.642

21. a12002028.png ; $X \times Y$ ; confidence 0.642

22. d03029013.png ; $Q \in [ a , b ]$ ; confidence 0.642

23. m1300601.png ; $f _ { 1 } : = x _ { 1 } ^ { d },$ ; confidence 0.642

24. s12022037.png ; $t \searrow 0$ ; confidence 0.641

25. t12006026.png ; $E ^ { \text{TF} } ( N ) = \operatorname { inf } \{ \mathcal{E} ( \rho ) : \rho \in L ^ { 5 / 3 } , \int \rho = N , \rho \geq 0 \},$ ; confidence 0.641

26. f13010058.png ; $L _ { \text{C} } ^ { p } ( G )$ ; confidence 0.641

27. t09408036.png ; $\pi _ { n } ( X ; A , B , * ) = \pi _ { n - 1 } ( \Omega ( X ; A , B ) , * ).$ ; confidence 0.641

28. b12021045.png ; $\mathfrak{p} \subset \mathfrak{a}$ ; confidence 0.641

29. b01566019.png ; $h = 1$ ; confidence 0.641

30. c12005017.png ; $f \rightarrow \frac { 1 } { 2 \pi } \int _ { 0 } ^ { 2 \pi } \operatorname { Re } \frac { e ^ { i t } + z } { e ^ { t t } - z } f ( e ^ { i t } ) d t,$ ; confidence 0.641

31. f11001056.png ; $e \leq x$ ; confidence 0.641

32. l0570009.png ; $x \in \Lambda$ ; confidence 0.641

33. b11002029.png ; $\| u_f \| \leq \| f \| / c$ ; confidence 0.641

34. e12023089.png ; $E ^ { k } = M \times F \times F ^ { ( 1 ) } \times \ldots F ^ { ( k ) }$ ; confidence 0.641

35. a13032042.png ; $\mathsf{E} _ { \theta } ( N ) = \frac { \mathsf{P} _ { \theta } ( S _ { N } = K ) K - \mathsf{P} _ { \theta } ( S _ { N } = - J ) J } { 2 \theta - 1 }.$ ; confidence 0.641

36. s0906703.png ; $U : \mathcal{C} \rightarrow \operatorname{Set}$ ; confidence 0.641

37. l12007034.png ; $s = 1 + p _ { 1 } / r + \ldots + p _ { 1 } \ldots p _ { k - 1 } / r ^ { k - 1 }$ ; confidence 0.641

38. v120020100.png ; $y _ { 0 } = g ( x _ { 0 } )$ ; confidence 0.641

39. c13019048.png ; $A = \operatorname { diag } ( \lambda _ { 1 } , \dots , \lambda _ { n } )$ ; confidence 0.641

40. l120170281.png ; $d _ { 2 } ( e _ { 2 } ^ { j } )$ ; confidence 0.640

41. m1300501.png ; $a \leftrightarrow b a b ^ { - 1 }$ ; confidence 0.640

42. c02057069.png ; $\phi _ { p }$ ; confidence 0.640

43. f12004047.png ; $( \mathbf{R} _ { + } \backslash \{ 0 \} , \times , \leq )$ ; confidence 0.640

44. c120180277.png ; $\in \bigotimes \square ^ { p + q + 1 } \mathcal{E}$ ; confidence 0.640

45. h13002064.png ; $R \subseteq A ^ { n }$ ; confidence 0.640

46. b12015037.png ; $\text{E} _ { \mathsf{P} } ( d _ { 0 } ) = 0$ ; confidence 0.640

47. c13010027.png ; $( C ) \int _ { A } f d m = ( C ) \int f . \chi _ { A } d m$ ; confidence 0.640

48. b12009020.png ; $0 \leq t < \infty$ ; confidence 0.640

49. p12017037.png ; $\widehat { B^* } $ ; confidence 0.640

50. a1303205.png ; $\mathsf{E} _ { \theta } ( X _ { i } ) = \mathsf{P} _ { \theta } ( X _ { i } = 1 ) = \theta = 1 - \mathsf{P} _ { \theta } ( X _ { i } = 0 )$ ; confidence 0.640

51. e12010015.png ; $\mathbf{f} ^ { \text{em} } = q _ { f } \mathbf{E} + \frac { 1 } { c } \mathbf{J} \times \mathbf{B} + ( \nabla \mathbf{E} ). \mathbf{P} + ( \nabla \mathbf{B} ). \mathbf{M} +$ ; confidence 0.640

52. w13004048.png ; $\operatorname{II}( W , V ) = - \operatorname { Re } ( \eta ( W ) d g ( V ) ).$ ; confidence 0.640

53. r1300508.png ; $a , b \in \Omega$ ; confidence 0.640

54. l12013020.png ; $x \in \widetilde{\mathbf{Z}}$ ; confidence 0.640

55. m12023062.png ; $f _ { t , s }$ ; confidence 0.640

56. y12001030.png ; $R = \sum _ { s = 1 } ^ { n } a _ { s } \otimes b _ { s } \in A \otimes _ { k } A$ ; confidence 0.640

57. b13023016.png ; $\overline { m } = \{ m _ { n } \} _ { n = 0 } ^ { \infty }$ ; confidence 0.639

58. s120200101.png ; $S ^ { \lambda }$ ; confidence 0.639

59. c13016023.png ; $\operatorname{SAT}$ ; confidence 0.639

60. b12034016.png ; $K_n$ ; confidence 0.639

61. a130040338.png ; $\lambda \in \Lambda$ ; confidence 0.639

62. s12020064.png ; $\pi \in S _ { n }$ ; confidence 0.639

63. k055840149.png ; $T^+ T = I = T T^+$ ; confidence 0.639

64. f13009011.png ; $U _ { n + 1 } ( x ) = \sum _ { j = 0 } ^ { [ n / 2 ] } \frac { ( n - j ) ! } { j ! ( n - 2 j ) ! } x ^ { n - 2 j } , n = 0,1, \dots ,$ ; confidence 0.639

65. b12009062.png ; $\operatorname { Re } h ( z ) > 0$ ; confidence 0.639

66. i12008037.png ; $\langle A \rangle _ { T } = Z ^ { - 1 } \operatorname { Tr } \left[ \operatorname { exp } ( - \frac { \mathcal{H} } { k _ { B } T } ) A \right].$ ; confidence 0.639

67. m0620002.png ; $( X _ { n } ) _ { n \in \mathbf{Z} }$ ; confidence 0.639

68. a12024027.png ; $Z ( \mathbf{C} )$ ; confidence 0.639

69. g13002023.png ; $f _ { 1 } , \ldots , f _ { d }$ ; confidence 0.639

70. v13005078.png ; $\operatorname {dim} V _ { ( n ) } < \infty$ ; confidence 0.639

71. a01024018.png ; $z_1$ ; confidence 0.638

72. b120440129.png ; $RN_G(D)$ ; confidence 0.638

73. d12029036.png ; $\operatorname { gcd } ( p _ { 1 } \ldots p _ { k } , q ) = 1$ ; confidence 0.638

74. j120020178.png ; $U _ { t } ^ { j } = u _ { j } ( B _ { \operatorname { min }( t , \tau ) } )$ ; confidence 0.638

75. t13011019.png ; $\mathcal{Y} ( T _ { A } ) = \left\{ N _ { B } : \operatorname { Tor } _ { 1 } ^ { B } ( N , T ) = 0 \right\},$ ; confidence 0.638

76. w12021070.png ; $\{ 0 , \pm x _ { 1 } , \ldots , \pm x _ { k } \}$ ; confidence 0.638

77. w13009056.png ; $f _ { n } \in H ^ { \widehat{ \otimes } n }$ ; confidence 0.638

78. t13014092.png ; $K Q$ ; confidence 0.638

79. w13017041.png ; $H _ { z } ( t )$ ; confidence 0.638

80. i13007014.png ; $v ( x , \alpha , k ) = A ( \alpha ^ { \prime } , \alpha , k ) \frac { e ^ { i k r} } { r } + o \left( \frac { 1 } { r } \right),$ ; confidence 0.638

81. s12020046.png ; $k S _ { n }$ ; confidence 0.638

82. a01305019.png ; $i,j = 1 , \ldots , n$ ; confidence 0.638

83. w12020032.png ; $\sum _ { \nu = 1 } ^ { n } \alpha _ { \nu } \leq 2$ ; confidence 0.637

84. f12021043.png ; $c_j ( \lambda )$ ; confidence 0.637

85. t12008024.png ; $S = \{ p _ { 1 } , \dots , p _ { s } \} \cup \{ p : p \text{ is prime and divides } a\}$ ; confidence 0.637

86. m1202707.png ; $w = ( w _ { 1 } , \dots , w _ { n } )$ ; confidence 0.637

87. d12029082.png ; $\sum _ { n = 1 } ^ { \infty } y _ { n }$ ; confidence 0.637

88. s12028018.png ; $\overline{ \mathbf{E}}_p ( X ) \approx \overline { \mathbf{E} } \square ^ { q } ( S ^ { n } \backslash X ) , p + q = n - 1,$ ; confidence 0.637

89. z130110148.png ; $N ( s )$ ; confidence 0.637

90. w13004017.png ; $X ( p ) = \operatorname { Re } \int _ { p _ { 0 } } ^ { p } ( \omega _ { 1 } , \ldots , \omega _ { n } ).$ ; confidence 0.637

91. d120230173.png ; $G _ { i+1 } $ ; confidence 0.637

92. o13008056.png ; $q_2 ( x )$ ; confidence 0.637

93. m13020026.png ; $\operatorname { ker } ( \gamma \circ \alpha ^ { \prime } ) \subset \mathfrak { g }$ ; confidence 0.637

94. e12001045.png ; $d \circ e = f$ ; confidence 0.637

95. a0100206.png ; $\mathcal{A}$ ; confidence 0.637

96. l13006023.png ; $z _ { i } = 1 , \dots , p - 1$ ; confidence 0.637

97. l05771014.png ; $e _ { 1 } , \dots , e _ { s }$ ; confidence 0.637

98. t120200132.png ; $\operatorname { max } _ { k = m + 1 , \ldots , m + n } | g ( k ) | \geq$ ; confidence 0.637

99. a12025063.png ; $q + 2$ ; confidence 0.637

100. k12006050.png ; $h ^ { i } \left( K _ { X } + j L - \sum _ { k = 1 } ^ { r } \left[ \frac { j a _ { k } } { N } \right] D _ { k } \right) = 0,$ ; confidence 0.637

101. h12007028.png ; $a , b \in A _ { k }$ ; confidence 0.636

102. i13002022.png ; $S _ { k } = \left( \begin{array} { c } { n } \\ { k } \end{array} \right) \frac { ( n - k ) ! } { n ! }$ ; confidence 0.636

103. b13020084.png ; $\alpha \in \mathbf{Z} \alpha _ { 1 } + \mathbf{Z} \alpha _ { 2 } + \dots$ ; confidence 0.636

104. b12037074.png ; $C _ { B _ { 2 } } ( L _ { n } )$ ; confidence 0.636

105. h12005016.png ; $\beta ( \phi , \rho ) ( t ) = \int _ { M } u _ { \Phi } \rho.$ ; confidence 0.636

106. z13007014.png ; $u ^ { n } = 1$ ; confidence 0.636

107. d12023029.png ; $\nabla _ { Z } R$ ; confidence 0.636

108. l120120108.png ; $V _ { \text { simp } } ( K _ { p } )$ ; confidence 0.636

109. m13022048.png ; $Z ( g ^ { a } h ^ { c } , g ^ { b } h ^ { d } ; z ) = \alpha Z \left( g ,h ; \frac { a z + b } { c z + d } \right)$ ; confidence 0.636

110. c120170110.png ; $M _ { z }$ ; confidence 0.636

111. f1202109.png ; $a ^ { [ N ] } ( z ) \equiv 1$ ; confidence 0.636

112. b13009016.png ; $v \notin [ 0,1]$ ; confidence 0.636

113. b12032077.png ; $a _ { 2 } = 1$ ; confidence 0.636

114. v0960301.png ; $\ddot { x } - \mu ( 1 - x ^ { 2 } ) \dot { x } + x = 0 , \quad \mu = \text { const } > 0 , \quad \dot { x } ( t ) \equiv \frac { d x } { d t },$ ; confidence 0.636

115. e12012078.png ; $Z \sim N _ { p } ( 0 , I )$ ; confidence 0.636

116. b12032068.png ; $x , y , z \in E _ { + }$ ; confidence 0.636

117. a12028070.png ; $\mathcal{L} _ { W } ( \mathcal{X} , \mathcal{Y} )$ ; confidence 0.636

118. a11002019.png ; $D _ { 1 }$ ; confidence 0.636

119. l13008036.png ; $c - 2 \operatorname { deg } I$ ; confidence 0.636

120. a110040176.png ; $i = 1 , \ldots , 4$ ; confidence 0.636

121. h11001021.png ; $S _ { f } ( a _ { 0 } )$ ; confidence 0.636

122. b13016023.png ; $f | _ { K }$ ; confidence 0.635

123. h13002047.png ; $( \alpha _ { 1 } \cup \gamma , \alpha _ { 2 } , \dots , \alpha _ { q } )$ ; confidence 0.635

124. q12008070.png ; $\mathsf{E} [ C ]$ ; confidence 0.635

125. p12017083.png ; $\mathcal{C} _ { 1 }$ ; confidence 0.635

126. l120120190.png ; $V ( M )$ ; confidence 0.635

127. s12020036.png ; $\left( \begin{array} { c c c c } { 1 } & { 2 } & { 3 } & { 4 } \\ { 5 } & { 6 } & { 7 } & { \square } \\ { 8 } & { \square } & { \square } & { \square } \\ { 9 } & { \square } & { \square } & { \square } \end{array} \right) = \left( \begin{array} { c c c c } { 4 } & { 2 } & { 1 } & { 3 } \\ { 6 } & { 5 } & { 7 } & { \square } \\ { 8 } & { \square } & { \square } & { \square } \\ { 9 } & { \square } & { \square } & { \square } \end{array} \right) \neq$ ; confidence 0.635

128. a01326011.png ; $E _ { 0 }$ ; confidence 0.635

129. f13028021.png ; $A \mathbf{x}$ ; confidence 0.635

130. s12023099.png ; $X = G \Lambda H$ ; confidence 0.635

131. a01150086.png ; $X \times X$ ; confidence 0.635

132. d12018029.png ; $A ( \mathbf{D} )$ ; confidence 0.635

133. e12010041.png ; $\mathbf{f} ^ { \text{em} } = \operatorname { div } \mathbf{t} ^ { \text{em} } - \frac { \partial \mathbf{G} ^ { \text{em} } } { \partial t },$ ; confidence 0.635

134. a01220053.png ; $z \in D$ ; confidence 0.635

135. k0550709.png ; $\dim H ^ { 2 r + 1 } ( M , \mathbf{C}) \qquad \text{is even},$ ; confidence 0.635

136. f13002019.png ; $\overline { \delta }_{\operatorname{BRST}}$ ; confidence 0.635

137. i12008076.png ; $\mathcal{P} \equiv \left( \begin{array} { c c } { \operatorname { exp } \left( \frac { J + H } { k _ { B } T } \right) } & { \operatorname { exp } \left( \frac { - J } { k _ { B } T } \right) } \\ { \operatorname { exp } \left( \frac { - J } { k _ { B } T } \right) } & { \operatorname { exp } \left( \frac { J - H } { k _ { B } T } \right) } \end{array} \right).$ ; confidence 0.635

138. c024780257.png ; $V _ { \alpha }$ ; confidence 0.635

139. c120210127.png ; $\int _ { A } \operatorname { exp } ( h ^ { \prime } \Delta _ { n } ^ { * } ( \theta ) ) d P _ { n , \theta }$ ; confidence 0.635

140. k11001048.png ; $T ^ { k }$ ; confidence 0.635

141. j130040101.png ; $\mathsf{P} _ { K } ( 1,0 ) = a _ { 2 }$ ; confidence 0.635

142. a130040321.png ; $\mathcal{D}$ ; confidence 0.635

143. t120200211.png ; $\operatorname { max } _ { k = 1 , \ldots , n } \left( \frac { 1 } { n } | s _ { k } | \right) ^ { 1 / k } > \frac { 1 } { 5 } > \frac { 1 } { 2 + \sqrt { 8 } },$ ; confidence 0.635

144. l120100128.png ; $\rho ( x ) = \sum _ { j = 1 } ^ { N } | u _ { j } ( x ) | ^ { 2 }.$ ; confidence 0.635

145. b12015091.png ; $\mathsf{P} _ { 0 } \in \mathcal{P}$ ; confidence 0.635

146. e1300307.png ; $\mathcal{M} _ { n } = \{ P ( X , Y ) = \sum _ { \nu = 0 } ^ { n } a _ { \nu } X ^ { \nu } Y ^ { n - \nu } : a _ { \nu } \in \mathbf{Q} \},$ ; confidence 0.635

147. f12010019.png ; $\sigma _ { k - 1 } ( n ) = \sum _ { 0 < d | n } d ^ { k - 1 }.$ ; confidence 0.635

148. s13064072.png ; $\operatorname { lim } _ { \tau \rightarrow \infty } \frac { \operatorname { det } ( I + W _ { \tau } ( k ) ) } { G ( a ) ^ { \tau } } = E ( a ),$ ; confidence 0.634

149. a130240187.png ; $\| \mathbf{y} - \mathbf{Xb} \| ^ { 2 }$ ; confidence 0.634

150. p13007072.png ; $\operatorname { Cap } ( E ) = \operatorname { exp } \left( - \operatorname { sup } _ { z \in \text{C} ^ { n } } \rho _ { L _ { E } } ( z ) \right).$ ; confidence 0.634

151. c02111013.png ; $\rightarrow H ^ { n + 1 } ( X , A ; G ) \rightarrow \dots $ ; confidence 0.634

152. t12006080.png ; $E ^ { \text{TF} } ( N )$ ; confidence 0.634

153. m12015067.png ; $\frac { 1 } { \beta _ { p } ( a , b ) } | V | ^ { a - ( p + 1 ) / 2 } | I _ { p } + V | ^ { - ( a + b ) },$ ; confidence 0.634

154. t130130123.png ; $\mod \Gamma$ ; confidence 0.634

155. a12017017.png ; $F ( t ) = \int _ { t } ^ { + \infty } p _ { 0 } ( a - t ) \frac { \Pi ( a ) } { \Pi ( a - t ) } d a,$ ; confidence 0.634

156. p12015067.png ; $B _ { r _ { 1 } } , B _ { r _ { 2 } }$ ; confidence 0.634

157. m1302008.png ; $Y \in \mathfrak { X } ( M )$ ; confidence 0.634

158. c1201307.png ; $\operatorname{diam}M \leq d,$ ; confidence 0.634

159. a120310114.png ; $G_1$ ; confidence 0.634

160. b13019059.png ; $k = 1 / 2$ ; confidence 0.633

161. s12022075.png ; $\operatorname { spec } ( M , \Delta ^ { ( 0 ) } ) , \ldots , \operatorname { spec } ( M , \Delta ^ { ( \dim M ) } )$ ; confidence 0.633

162. q13005064.png ; $\operatorname{QS} ( \mathbf{T} ) = \cup _ { M \geq 1 } M$ ; confidence 0.633

163. r13010037.png ; $\mathbf{E} _ { n }$ ; confidence 0.633

164. e12012046.png ; $z \in ( 1 , \dots , M )$ ; confidence 0.633

165. p13014058.png ; $\psi ( \gamma ) = \frac { 2 } { \pi ^ { 2 } \gamma } + O \left( \frac { 1 } { \gamma ^ { 3 } } \right) \text { as } \gamma \rightarrow + \infty.$ ; confidence 0.633

166. t12001060.png ; $S ^ { 3 } / \Gamma$ ; confidence 0.633

167. b13004016.png ; $\{ I _ { n } \} _ { n = 0 } ^ { \infty }$ ; confidence 0.633

168. s12027026.png ; $Q_l ^ { B }$ ; confidence 0.633

169. c12007071.png ; $\text{Ab} ^ { \text{ZC} }$ ; confidence 0.633

170. j13004018.png ; $\mathbf{Z} [ v ^ { \pm 1 } , z ^ { \pm 1 } ]$ ; confidence 0.633

171. w13017031.png ; $y _ { t } ^ { ( i ) }$ ; confidence 0.633

172. p12014031.png ; $H$ ; confidence 0.632

173. h12001052.png ; $\alpha \wedge \beta ^ { n } \neq 0$ ; confidence 0.632

174. i12010052.png ; $R _ { 1414 } = a _ { 1 } , R _ { 2323 } = a _ { 1 } , R _ { 3434 } = a _ { 2 } , R _ { 1234 } = a _ { 1 } , R _ { 1324 } = - a _ { 1 } , R _ { 1423 } = a _ { 2 },$ ; confidence 0.632

175. a130040232.png ; $E ( \varphi , \psi ) = \{ \epsilon _ { i } ( \varphi , \psi ) : i \in I \}$ ; confidence 0.632

176. s12027013.png ; $R _ { n } = I - Q _ { n }$ ; confidence 0.632

177. c12017015.png ; $K \subseteq \mathbf{C}$ ; confidence 0.632

178. b017470280.png ; $m_{ij}$ ; confidence 0.632

179. h13003060.png ; $g ( z ) = r ( z ) + \sum _ { i = 1 } ^ { \infty } s _ { 2 m + i } z ^ { - ( 2 m + i ) }$ ; confidence 0.632

180. c02417020.png ; $V _ { \pm }$ ; confidence 0.632

181. e12012041.png ; $f = ( f _ { 1 } , \ldots , f _ { M } )$ ; confidence 0.632

182. d120230110.png ; $C_l$ ; confidence 0.632

183. k12010055.png ; $\bigwedge _ { j = 1 } ^ { m } \frac { d z _ { j } - d z _ { j } ^ { \prime } } { z _ { j } - z _ { j } ^ { \prime } }$ ; confidence 0.632

184. b01516022.png ; $x _ { 0 } > 0$ ; confidence 0.632

185. b120150107.png ; $\mathsf{P} _ { n }$ ; confidence 0.632

186. a130040797.png ; $\mathbf{C} \in \mathsf{K}_0$ ; confidence 0.632

187. a11025019.png ; $T _ { 0 }$ ; confidence 0.632

188. g12004083.png ; $\Sigma _ { P } = \{ ( x , \xi ) \in \Omega \times ( \mathbf{R} ^ { n } \backslash \{ 0 \} ) : p _ { m } ( x , \xi ) = 0 \},$ ; confidence 0.632

189. g12004073.png ; $D _ { x } ^ { \alpha } = D _ { x _ { 1 } } ^ { \alpha _ { 1 } } \ldots D _ { x _ { n } } ^ { \alpha _ { n } }$ ; confidence 0.632

190. o13003041.png ; $f _ { j k l } = \frac { - i } { 4 } \operatorname { Tr } [ ( \lambda _ { j } \lambda _ { k } - \lambda _ { k } \lambda _ { j } ) \lambda _ { l } ].$ ; confidence 0.632

191. b0173204.png ; $W ^ { n }$ ; confidence 0.632

192. m12023068.png ; $\frac { \partial u ( t , x ) } { \partial t } + \frac { 1 } { 2 } \| d _ { x } u ( t , x ) \| ^ { 2 } = 0 , \quad ( t , x ) \in ( 0 , T ) \times H,$ ; confidence 0.632

193. d13018051.png ; $\mathcal{A} ( X )$ ; confidence 0.632

194. c1200708.png ; $( \alpha _ { 1 } , \dots , \alpha _ { n } )$ ; confidence 0.632

195. l12015014.png ; $( A , [. ,. ] )$ ; confidence 0.632

196. a12018050.png ; $\operatorname { lim } _ { n \rightarrow \infty } \frac { T _ { n } - S } { S _ { n } - S } = 0.$ ; confidence 0.632

197. s12026053.png ; $\partial _ { s }$ ; confidence 0.631

198. w12011094.png ; $T \in \operatorname{GL} ( n , \mathbf{R} )$ ; confidence 0.631

199. w13017020.png ; $\mathsf{E} \varepsilon _ { t } \varepsilon _ { s } ^ { \prime } = \delta _ { s t } \Sigma$ ; confidence 0.631

200. p1300906.png ; $B ( x _ { 0 } , r ) = \{ x \in \mathbf{R} ^ { n } : | x - x _ { 0 } | < r \}$ ; confidence 0.631

201. t12003036.png ; $F _ { K } \circ \Phi$ ; confidence 0.631

202. l11004080.png ; $| x | | y | \bigwedge | y | ^ { 2 } | x | ^ { 2 } = | x | | y |$ ; confidence 0.631

203. b12008011.png ; $\mathcal{E} _ { \text{avg} } ( \mu , m ) = \int | \epsilon ( p , m ) | d \mu ( p )$ ; confidence 0.631

204. a120280172.png ; $\pi ( a ) M ^ { U } ( [ t , \infty ) ) \subseteq M ^ { U } ( [ t + s , \infty ) )$ ; confidence 0.631

205. o1300806.png ; $( \text{l} _ { m } - k ^ { 2 } ) f _ { m } = 0,$ ; confidence 0.631

206. w13009092.png ; $g _ { j } \in L ^ { 2 } ( [ 0,1 ] )$ ; confidence 0.631

207. a130240353.png ; $\mathsf{E} ( \mathbf{Z} _ { 3 } ) = 0$ ; confidence 0.631

208. b12002054.png ; $+ O \left( \frac { ( \operatorname { log } n ) ^ { 1 / 2 } ( \operatorname { log } \operatorname { log } n ) ^ { 1 / 4 } } { n ^ { 3 / 4 } } \right) \text{ a.s..}$ ; confidence 0.631

209. b13022040.png ; $\gamma_j = 0$ ; confidence 0.631

210. w13009019.png ; $\{ F _ { n } \} _ { n = 0 } ^ { \infty }$ ; confidence 0.631

211. b12043095.png ; $B U _ { q } ( \mathfrak{g} )$ ; confidence 0.631

212. k12010015.png ; $t _ { \operatorname { min } } < t _ { 1 } < \ldots < t _ { m } < t _ { \operatorname { max } }$ ; confidence 0.631

213. t130050114.png ; $\sigma _ { \pi } ( A , \mathcal{X} ) = \sigma _ { \delta } ( A , \mathcal{X} ) = \sigma _ { \text{T} } ( A , \mathcal{X} )$ ; confidence 0.631

214. a12015033.png ; $\operatorname{ad}( \mathfrak{g} ) = \operatorname { Der } (\mathfrak{g} )$ ; confidence 0.631

215. b12036020.png ; $p_y$ ; confidence 0.630

216. o13003044.png ; $\mathbf{N} ( X )$ ; confidence 0.630

217. c0224009.png ; $1 , \dots , n$ ; confidence 0.630

218. p13009036.png ; $P _ { \Omega } ( . , \xi )$ ; confidence 0.630

219. b1200603.png ; $D _ { 1 } \subset \mathbf{R} ^ { 2 }$ ; confidence 0.630

220. p13013054.png ; $\zeta _ { \lambda } ^ { \pi }$ ; confidence 0.630

221. i13002061.png ; $\overline{A} \in \mathcal{S}$ ; confidence 0.630

222. f12023023.png ; $L _ { i } \in \Omega ^ { l } ( N ; T N )$ ; confidence 0.630

223. l13001035.png ; $C _ { 1 } N ^ { ( n - 1 ) / 2 } \leq \| S _ { N } \| \leq C _ { 2 } N ^ { ( n - 1 ) / 2 }.$ ; confidence 0.630

224. f1100107.png ; $ax \leq ay$ ; confidence 0.630

225. g130060112.png ; $\{ r _ { i } ( A ) \} _ { i = 1 } ^ { n }$ ; confidence 0.630

226. i12008048.png ; $m _ { s } = \operatorname { lim } _ { H \rightarrow 0 } m ( T , H ) > 0.$ ; confidence 0.630

227. t130140145.png ; $K I = K ( I , \preceq )$ ; confidence 0.630

228. c120010165.png ; $\sum | c_k| < \infty$ ; confidence 0.630

229. f120230123.png ; $( \mathcal{L} _ { K } \omega ) ( X _ { 1 } , \dots , X _ { k + 1 } ) =$ ; confidence 0.630

230. a01105038.png ; $A _ { \alpha }$ ; confidence 0.630

231. a130240438.png ; $\mathbf{N}$ ; confidence 0.630

232. p07452022.png ; $a + b \in F$ ; confidence 0.629

233. f12014051.png ; $r ( 1 + 2.78 / \lambda )$ ; confidence 0.629

234. e12005027.png ; $( u = v ) \in S$ ; confidence 0.629

235. a01018013.png ; $R$ ; confidence 0.629

236. s1304509.png ; $\overline { R } = \sum _ { i = 1 } ^ { n } R _ { i } / n = ( n + 1 ) / 2 = \sum _ { i = 1 } ^ { n } S _ { i } / n = \overline { S }$ ; confidence 0.629

237. v12002033.png ; $\overline { H } \square ^ { * }$ ; confidence 0.629

238. a12015037.png ; $G \subset \operatorname { GL } ( V )$ ; confidence 0.629

239. v120020197.png ; $H ^ { n } ( S ^ { n } )$ ; confidence 0.629

240. h13006030.png ; $\widetilde { D } = \{ \alpha \in G : \alpha D \alpha ^ { - 1 } \text { is commensurable with} \ D\}$ ; confidence 0.629

241. e12021041.png ; $p _ { m } ( z ) = m ! \sum _ { 0 \leq n \leq m - 1 } b _ { m } ( n + 1 ) z ^ { n } , \quad z \in \mathbf{C},$ ; confidence 0.629

242. k12003023.png ; $c _ { 1 } ( M ) _ { \mathbf{R} } > 0$ ; confidence 0.629

243. t1200807.png ; $x , y , z _ { 1 } , \dots , z _ { s } \in \mathbf{Z}$ ; confidence 0.629

244. k12012049.png ; $X ^ { 2 n + 1 }$ ; confidence 0.629

245. i13005046.png ; $k = i k_j$ ; confidence 0.629

246. b017330266.png ; $H _ { p }$ ; confidence 0.629

247. i130090116.png ; $\Gamma = \operatorname { Gal } ( K / k )$ ; confidence 0.628

248. f13009094.png ; $\mathbf{x} = ( x , \ldots , x )$ ; confidence 0.628

249. t130140138.png ; $q_l : \mathbf{Z} ^ { l } \rightarrow \mathbf{Z}$ ; confidence 0.628

250. f13002010.png ; $\operatorname { su } ( 2 )$ ; confidence 0.628

251. d12029081.png ; $y _ { n } \geq 0$ ; confidence 0.628

252. a130240516.png ; $\mathbf{R} = \mathbf{V} _ { 33 } ^ { - 1 } \mathbf{V} _ { 32 }$ ; confidence 0.628

253. b120210104.png ; $\rho = ( 1 / 2 ) \sum _ { \alpha \in \Delta ^ { + } } \alpha$ ; confidence 0.628

254. n13005044.png ; $\operatorname{TD} [ r , s ]$ ; confidence 0.628

255. t12014026.png ; $\| W _ { k } \| = \| \mathcal{F} k \| _ { L^\infty } $ ; confidence 0.628

256. s120340123.png ; $u_-$ ; confidence 0.628

257. h120020135.png ; $f \in X \text{ implies } \bar{f} \in X \text{ and } \mathcal{P}_-f \in X,$ ; confidence 0.628

258. f12005020.png ; $n ^ { \text { th } }$ ; confidence 0.628

259. m12016023.png ; $A X B + C \sim E _ { q , n } ( A M B + C , ( A \Sigma A ^ { \prime } ) \otimes ( B ^ { \prime } \Phi B ) , \psi )$ ; confidence 0.628

260. w12011010.png ; $x . D _ { x }$ ; confidence 0.628

261. f12011044.png ; $x \notin - \Delta ^ { \circ }$ ; confidence 0.628

262. b12022072.png ; $\partial _ { t } \eta ( u ) + \operatorname { div } _ { x } G ( u ) \leq 0,$ ; confidence 0.627

263. b13023047.png ; $\operatorname { St } _ { G } ( u )$ ; confidence 0.627

264. s12023044.png ; $\frac { 1 } { ( 2 \pi ) ^ { n p / 2 } } | \Sigma | ^ { - n / 2 } \operatorname { etr } \left\{ - \frac { 1 } { 2 } \Sigma ^ { - 1 } X X ^ { \prime } \right\} , X \in \mathbf{R} ^ { p \times n },$ ; confidence 0.627

265. a01052030.png ; $3 / 2$ ; confidence 0.627

266. c0200305.png ; $P \subset X$ ; confidence 0.627

267. v120020115.png ; $x _ { 0 } \in F ( x _ { 0 } )$ ; confidence 0.627

268. p130100137.png ; $K \subset \mathbf{C} ^ { n + 1 }$ ; confidence 0.627

269. w130080215.png ; $W = p ^ { n + 1 } - q _ { 1 } p ^ { n - 1 } - \ldots - q _ { n }$ ; confidence 0.627

270. m1302507.png ; $0 = ( \delta ( x ) x ) \operatorname { vp } \frac { 1 } { x } \neq \delta ( x ) \left( x \operatorname{vp} \frac { 1 } { x } \right) = \delta ( x )$ ; confidence 0.627

271. t13005082.png ; $\sigma _ { \delta }$ ; confidence 0.627

272. b01557030.png ; $D _ { j }$ ; confidence 0.627

273. i13001053.png ; $\lambda = ( \lambda _ { 1 } , \dots , \lambda _ { s } , \dots , \lambda _ { t } )$ ; confidence 0.627

274. g12004067.png ; $\Gamma \subset \Omega \times ( \mathbf{R} ^ { n } \backslash \{ 0 \} )$ ; confidence 0.627

275. a12012086.png ; $c _ { t } ^ { \prime } > c _ { t }$ ; confidence 0.627

276. b12032088.png ; $a _ { n^i } = ( a _ { n } )^i$ ; confidence 0.627

277. s120150127.png ; $G /G_x$ ; confidence 0.627

278. i130030161.png ; $l ^ { 2 } ( \Gamma )$ ; confidence 0.627

279. a11032027.png ; $u_{m + 1}$ ; confidence 0.627

280. a12028071.png ; $\rho \otimes x$ ; confidence 0.627

281. s120230143.png ; $S _ { i } > 0 , i = 1 , \dots , r.$ ; confidence 0.627

282. k13002014.png ; $y _ { j } < y _ { k }$ ; confidence 0.627

283. m12019030.png ; $= \pi ^ { 2 } \sqrt { \frac { \pi } { 2 } } \int _ { 0 } ^ { \infty } \tau \frac { \operatorname { sinh } ( \pi \tau ) } { \operatorname { cosh } ^ { 3 } ( \pi \tau ) } P _ { i \tau - 1 / 2 } ( x ) F ( \tau ) G ( \tau ) d \tau,$ ; confidence 0.627

284. t12019021.png ; $n/ ( k - 1 )$ ; confidence 0.627

285. c02211030.png ; $p _ { i } ( \theta ) = \mathsf{P} \{ X _ { i } \in ( x _ { i - 1} , x _ { i } ] \} > 0,$ ; confidence 0.626

286. a130240206.png ; $\operatorname{rank} ( \mathbf{X} ) = r$ ; confidence 0.626

287. e1300303.png ; $\rho : G / \mathbf{Q} \rightarrow \operatorname{GL} (\mathcal{M} )$ ; confidence 0.626

288. t120060108.png ; $\rho _ { \text{atom} } ^ { \text{TF} } ( x , N = Z , Z ) \sim \gamma ^ { 3 } \left( \frac { 3 } { \pi } \right) ^ { 3 } | x | ^ { - 6 },$ ; confidence 0.626

289. z13010037.png ; $\forall x \forall y \exists z \forall v ( v \in z \leftrightarrow ( v = x \vee v = y ) ).$ ; confidence 0.626

290. i13003030.png ; $\operatorname{Ch} ( [ a ] ) \mathcal{T} ( M )$ ; confidence 0.626

291. a12005047.png ; $i = 1 , \ldots , k$ ; confidence 0.626

292. w1301203.png ; $\operatorname{CL} ( X )$ ; confidence 0.626

293. c120180427.png ; $( q _ { 1 } , \dots , q _ { m } )$ ; confidence 0.626

294. c02313056.png ; $B / A$ ; confidence 0.626

295. a130240433.png ; $\mathbf{A} \Theta \mathbf{B}$ ; confidence 0.626

296. i12004044.png ; $s = ( s _ { 1 } , \dots , s _ { n } ) : \partial D \times D \rightarrow \mathbf{C} ^ { n }$ ; confidence 0.626

297. w120110197.png ; $G _ { X } ( X - Y) \leq \rho ^ { 2 } \Rightarrow G _ { Y } \leq C G _ { X };$ ; confidence 0.626

298. a13013044.png ; $F _ { j k } =$ ; confidence 0.626

299. a01008024.png ; $\mathcal{M}$ ; confidence 0.626

300. b120420115.png ; $U _ { q } ( \mathfrak { g } )$ ; confidence 0.626

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/NoNroff/50. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/NoNroff/50&oldid=45701
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