Difference between revisions of "User:Maximilian Janisch/latexlist/latex/NoNroff/58"
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3. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f130100127.png ; $\sigma ( L _ {\bf C } ^ { \infty } ( \hat { G } ) , L _ {\bf C } ^ { 1 } ( \hat { G } ) )$ ; confidence 1.000 | 3. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f130100127.png ; $\sigma ( L _ {\bf C } ^ { \infty } ( \hat { G } ) , L _ {\bf C } ^ { 1 } ( \hat { G } ) )$ ; confidence 1.000 | ||
| − | 4. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120050/g12005049.png ; $ | + | 4. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120050/g12005049.png ; $\bf l \in C$ ; confidence 1.000 |
5. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130010/z13001031.png ; $Z ( x ( n ) ^ { * } y ( n ) ) = Z ( x ( n ) ) .Z ( y ( n ) ).$ ; confidence 1.000 | 5. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130010/z13001031.png ; $Z ( x ( n ) ^ { * } y ( n ) ) = Z ( x ( n ) ) .Z ( y ( n ) ).$ ; confidence 1.000 | ||
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6. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b120150159.png ; $\frac { 1 } { n } \sum _ { j = 1 } ^ { n } \frac { x _ { j } - 1 + p _ { j } } { 2 p _ { j } - 1 }$ ; confidence 0.508 | 6. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b120150159.png ; $\frac { 1 } { n } \sum _ { j = 1 } ^ { n } \frac { x _ { j } - 1 + p _ { j } } { 2 p _ { j } - 1 }$ ; confidence 0.508 | ||
| − | 7. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130060/c13006045.png ; $\frak | + | 7. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130060/c13006045.png ; $\frak V$ ; confidence 1.000 |
| − | 8. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023076.png ; $ | + | 8. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023076.png ; $ Z ^ { * }$ ; confidence 1.000 |
9. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i13005035.png ; $g ( x , k ) = - b ( - k ) f ( x , k ) + a ( k ) f ( x , - k ),$ ; confidence 0.508 | 9. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i13005035.png ; $g ( x , k ) = - b ( - k ) f ( x , k ) + a ( k ) f ( x , - k ),$ ; confidence 0.508 | ||
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12. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b120210110.png ; $( \operatorname{Hom} _ {\frak a } ( D , N ) , \delta ^ { \prime } )$ ; confidence 1.000 | 12. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b120210110.png ; $( \operatorname{Hom} _ {\frak a } ( D , N ) , \delta ^ { \prime } )$ ; confidence 1.000 | ||
| − | 13. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130110/m130110138.png ; $( {\bf v} . \nabla ) {\bf v} = \frac { 1 } { 2 } \nabla v ^ { 2 } + ( \operatorname { curl } {\bf v} ) \times {\bf v}$ ; confidence 1.000 | + | 13. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130110/m130110138.png ; $( {\bf v} . \nabla ) {\bf v} = \frac { 1 } { 2 } \nabla v ^ { 2 } + ( \operatorname { curl } {\bf v} ) \times {\bf v}.$ ; confidence 1.000 |
14. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022860/c02286044.png ; $\beta _ { 1 }$ ; confidence 1.000 | 14. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022860/c02286044.png ; $\beta _ { 1 }$ ; confidence 1.000 | ||
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18. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120280/a12028064.png ; $\langle U _ { \mu } ( x ) , \rho \rangle = \int \langle U _ { t } ( x ) , \rho \rangle d \mu ( t )$ ; confidence 1.000 | 18. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120280/a12028064.png ; $\langle U _ { \mu } ( x ) , \rho \rangle = \int \langle U _ { t } ( x ) , \rho \rangle d \mu ( t )$ ; confidence 1.000 | ||
| − | 19. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120080/q12008087.png ; $\lambda \int _ { 0 } ^ { \infty } \frac { \int _ { 0 } ^ { x } y [ 1 - B ( y ) ] d y } { [ 1 - \rho ( x ) ] ^ { 2 } } d B ( x ) + \int _ { 0 } ^ { \infty } \frac { 1 - B ( x ) } { 1 - \rho ( x ) } d x,$ ; confidence 0.507 | + | 19. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120080/q12008087.png ; $=\lambda \int _ { 0 } ^ { \infty } \frac { \int _ { 0 } ^ { x } y [ 1 - B ( y ) ] d y } { [ 1 - \rho ( x ) ] ^ { 2 } } d B ( x ) + \int _ { 0 } ^ { \infty } \frac { 1 - B ( x ) } { 1 - \rho ( x ) } d x,$ ; confidence 0.507 |
| − | 20. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130110/w13011019.png ; $\operatorname { lim } _ { N \rightarrow \infty } \operatorname { sup } _ { \varepsilon } | \frac { 1 } { N } \sum _ { n = 1 } ^ { N } f ( T ^ { n } x ) e ^ { 2 \pi i n \varepsilon } | = 0.$ ; confidence 0.507 | + | 20. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130110/w13011019.png ; $\operatorname { lim } _ { N \rightarrow \infty } \operatorname { sup } _ { \varepsilon } \left| \frac { 1 } { N } \sum _ { n = 1 } ^ { N } f ( T ^ { n } x ) e ^ { 2 \pi i n \varepsilon } \right| = 0.$ ; confidence 0.507 |
| − | 21. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f1202106.png ; $ | + | 21. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f1202106.png ; $a ^ { N_ 0} \neq 0$ ; confidence 1.000 |
22. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130110/m130110115.png ; $\partial \phi / \partial x _ { i } = \phi _ { ,i }$ ; confidence 1.000 | 22. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130110/m130110115.png ; $\partial \phi / \partial x _ { i } = \phi _ { ,i }$ ; confidence 1.000 | ||
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25. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040340/f04034080.png ; $0 \in {\bf R} ^ { n }$ ; confidence 1.000 | 25. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040340/f04034080.png ; $0 \in {\bf R} ^ { n }$ ; confidence 1.000 | ||
| − | 26. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i130030142.png ; $\hat{\ | + | 26. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i130030142.png ; $\hat{\eta}$ ; confidence 1.000 |
| − | 27. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130120/h13012025.png ; $\theta | + | 27. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130120/h13012025.png ; $\theta \geq 0$ ; confidence 1.000 |
| − | 28. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510159.png ; $d _ { \text{in} } | + | 28. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510159.png ; $d _ { \text{in} } \leq 2$ ; confidence 1.000 |
29. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090122.png ; $\operatorname { diag } ( t _ { 1 } , \ldots , t _ { n } ) \mapsto t _ { 1 } ^ { \lambda _ { 1 } } \ldots t _ { n } ^ { \lambda _ { n } } \in K,$ ; confidence 0.507 | 29. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090122.png ; $\operatorname { diag } ( t _ { 1 } , \ldots , t _ { n } ) \mapsto t _ { 1 } ^ { \lambda _ { 1 } } \ldots t _ { n } ^ { \lambda _ { n } } \in K,$ ; confidence 0.507 | ||
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49. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120010/q12001010.png ; $U ( g ) \varphi_j ( f ) U ( g ^ { - 1 } )$ ; confidence 1.000 | 49. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120010/q12001010.png ; $U ( g ) \varphi_j ( f ) U ( g ^ { - 1 } )$ ; confidence 1.000 | ||
| − | 50. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240547.png ; $T ^ { 2 }$ ; confidence | + | 50. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240547.png ; ${\bf T} ^ { 2 }$ ; confidence 1.000 |
51. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040064.png ; $\mathfrak { n } ^ { + } = [ \mathfrak { b } , \mathfrak { b } ]$ ; confidence 0.505 | 51. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040064.png ; $\mathfrak { n } ^ { + } = [ \mathfrak { b } , \mathfrak { b } ]$ ; confidence 0.505 | ||
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52. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200234.png ; $1 = | z _ { 1 } | \geq \ldots \geq | z _ { n } | > 0$ ; confidence 0.505 | 52. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200234.png ; $1 = | z _ { 1 } | \geq \ldots \geq | z _ { n } | > 0$ ; confidence 0.505 | ||
| − | 53. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300103.png ; $( - ) ^ { * } : \cal C ^ { \ | + | 53. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300103.png ; $( - ) ^ { * } : \cal C ^ { \operatorname{op} } \rightarrow C$ ; confidence 1.000 |
54. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040367.png ; $\tilde { \Omega }$ ; confidence 0.505 | 54. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040367.png ; $\tilde { \Omega }$ ; confidence 0.505 | ||
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59. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012028.png ; $\beta_j > 0$ ; confidence 1.000 | 59. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012028.png ; $\beta_j > 0$ ; confidence 1.000 | ||
| − | 60. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f120150203.png ; $\{ B x _ { | + | 60. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f120150203.png ; $\{ B x _ { n } \}$ ; confidence 1.000 |
61. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130090/c13009034.png ; $b _ { N } = 0$ ; confidence 0.505 | 61. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130090/c13009034.png ; $b _ { N } = 0$ ; confidence 0.505 | ||
| − | 62. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b13029038.png ; $B = k [ [ X _ { 1 } , \dots , X _ { d } , Y _ { 1 } , \dots , Y _ { d } ]$ ; confidence 0.505 | + | 62. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b13029038.png ; $B = k [ [ X _ { 1 } , \dots , X _ { d } , Y _ { 1 } , \dots , Y _ { d } ]]$ ; confidence 0.505 |
63. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130040/t13004016.png ; $a _ { n + 1 }$ ; confidence 1.000 | 63. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130040/t13004016.png ; $a _ { n + 1 }$ ; confidence 1.000 | ||
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72. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130020/h13002080.png ; $( \alpha _ { 1 } , \alpha _ { 2 } , \dots , \alpha _ { q } \cup \gamma ^ { d } ) \in {\cal F} ( S ^ { d } ) ^ { q }$ ; confidence 1.000 | 72. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130020/h13002080.png ; $( \alpha _ { 1 } , \alpha _ { 2 } , \dots , \alpha _ { q } \cup \gamma ^ { d } ) \in {\cal F} ( S ^ { d } ) ^ { q }$ ; confidence 1.000 | ||
| − | 73. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b12043075.png ; $k | + | 73. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b12043075.png ; $k \langle x _ { i } \rangle$ ; confidence 1.000 |
| − | 74. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120080/q12008051.png ; $\ | + | 74. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120080/q12008051.png ; $\mathsf{E} [ T _ { p } ] _ {\text{PR} } = \frac { 1 } { 2 ( 1 - \sigma _ { p - 1 } ) ( 1 - \sigma _ { p } ) } \sum _ { k = 1 } ^ { p } \lambda _ { k } b _ { k } ^ { ( 2 ) } + \frac { b _ { p } } { 1 - \sigma _ { p - 1 } }$ ; confidence 1.000 |
75. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200152.png ; $\Pi ^ { \text { re } }$ ; confidence 0.504 | 75. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200152.png ; $\Pi ^ { \text { re } }$ ; confidence 0.504 | ||
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81. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f12023010.png ; $[ \varphi \bigotimes x , \psi \bigotimes Y ] =$ ; confidence 1.000 | 81. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f12023010.png ; $[ \varphi \bigotimes x , \psi \bigotimes Y ] =$ ; confidence 1.000 | ||
| − | 82. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f120230125.png ; $+\frac { - 1 } { k ! ( | + | 82. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f120230125.png ; $+\frac { - 1 } { k ! ( \text{l} - 1 ) ! } \times \times \sum _ { \sigma } \operatorname { sign } \sigma \omega ( [ K ( X _ { \sigma 1 } , \ldots , X _ { \sigma k } ) , X _ { \sigma ( k + 1 ) } ] , X _ { \sigma ( k + 2 ) } , \ldots )+$ ; confidence 1.000 |
83. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013049.png ; $k$ ; confidence 0.504 | 83. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013049.png ; $k$ ; confidence 0.504 | ||
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92. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120190/w12019036.png ; ${\bf R} _ { x } ^ { 3 N } \times {\bf R} _ { p } ^ { 3 N }$ ; confidence 1.000 | 92. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120190/w12019036.png ; ${\bf R} _ { x } ^ { 3 N } \times {\bf R} _ { p } ^ { 3 N }$ ; confidence 1.000 | ||
| − | 93. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b120150111.png ; $\ | + | 93. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b120150111.png ; $\mathsf{E} _ { \mathsf{P} _ { n } } ( d ) = \mathsf{E} _ { \mathsf{P}_ { n } } ( d ^ { * } )$ ; confidence 1.000 |
94. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120310/b120310100.png ; $\delta > ( 3 n - 2 ) / 6$ ; confidence 0.503 | 94. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120310/b120310100.png ; $\delta > ( 3 n - 2 ) / 6$ ; confidence 0.503 | ||
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97. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047390/h047390136.png ; $P _ { + } T P _ { - }$ ; confidence 0.503 | 97. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047390/h047390136.png ; $P _ { + } T P _ { - }$ ; confidence 0.503 | ||
| − | 98. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120080/i12008092.png ; $= - J - k _ { B }T \operatorname { ln } \{ \operatorname { cosh } ( \frac { H } { k _ { B } T } ) + + [ \operatorname { sinh } ^ { 2 } ( \frac { H } { k _ { B } T } ) + \operatorname { exp } ( - \frac { 4 J } { k _ { B } T } ) ] ^ { 1 / 2 }\ | + | 98. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120080/i12008092.png ; $= - J - k _ { B }T \operatorname { ln } \left\{ \operatorname { cosh } \left( \frac { H } { k _ { B } T } \right) + + \left[ \operatorname { sinh } ^ { 2 } \left( \frac { H } { k _ { B } T } \right) + \operatorname { exp } \left( - \frac { 4 J } { k _ { B } T } \right) \right] ^ { 1 / 2 } \right\},$ ; confidence 1.000 |
99. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130220/a13022022.png ; $\tilde { h } : Z \rightarrow B$ ; confidence 0.503 | 99. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130220/a13022022.png ; $\tilde { h } : Z \rightarrow B$ ; confidence 0.503 | ||
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104. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i130090218.png ; $g \in \operatorname { Gal } ( k _ { \infty } ^ { \prime } / k )$ ; confidence 0.503 | 104. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i130090218.png ; $g \in \operatorname { Gal } ( k _ { \infty } ^ { \prime } / k )$ ; confidence 0.503 | ||
| − | 105. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120030/q12003016.png ; $( \epsilon \bigotimes \operatorname{id} _ { A } ) \circ L = \operatorname{id} _ { A }$ ; confidence 1.000 | + | 105. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120030/q12003016.png ; $( \epsilon \bigotimes \operatorname{id} _ { A } ) \circ L = \operatorname{id} _ { A }.$ ; confidence 1.000 |
106. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130060/h13006042.png ; $u . v$ ; confidence 1.000 | 106. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130060/h13006042.png ; $u . v$ ; confidence 1.000 | ||
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110. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015010/b0150106.png ; $\xi : X \rightarrow B O _ { n }$ ; confidence 1.000 | 110. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015010/b0150106.png ; $\xi : X \rightarrow B O _ { n }$ ; confidence 1.000 | ||
| − | 111. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055780/k05578014.png ; $\times \int _ { 0 } ^ { \alpha } [ K _ { i \tau } ( \alpha ) I _ { i \tau } ( x ) - I _ { i \tau } ( \alpha ) K _ { i \tau } ( x ) ] f ( x ) \frac { d x } { x }$ ; confidence 0.502 | + | 111. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055780/k05578014.png ; $\times \int _ { 0 } ^ { \alpha } [ K _ { i \tau } ( \alpha ) I _ { i \tau } ( x ) - I _ { i \tau } ( \alpha ) K _ { i \tau } ( x ) ] f ( x ) \frac { d x } { x },$ ; confidence 0.502 |
112. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s13051092.png ; $O ( | V |+ | E | )$ ; confidence 1.000 | 112. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s13051092.png ; $O ( | V |+ | E | )$ ; confidence 1.000 | ||
| Line 238: | Line 238: | ||
119. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130230/a13023062.png ; $X = C ( S \times T )$ ; confidence 0.502 | 119. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130230/a13023062.png ; $X = C ( S \times T )$ ; confidence 0.502 | ||
| − | 120. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013990/a0139904.png ; $\ | + | 120. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013990/a0139904.png ; $\mathsf{E} X$ ; confidence 1.000 |
121. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130160/c13016081.png ; ${\cal C} = \operatorname { co }\cal C$ ; confidence 1.000 | 121. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130160/c13016081.png ; ${\cal C} = \operatorname { co }\cal C$ ; confidence 1.000 | ||
| Line 258: | Line 258: | ||
129. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046280/h046280183.png ; $\{ f_j \}$ ; confidence 1.000 | 129. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046280/h046280183.png ; $\{ f_j \}$ ; confidence 1.000 | ||
| − | 130. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130620/s13062098.png ; $q \in L ^ { 1 } ( 0 , \infty )$ ; confidence 0.501 NOTE: should the bracket be | + | 130. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130620/s13062098.png ; $q \in L ^ { 1 } ( 0 , \infty )$ ; confidence 0.501 NOTE: should the bracket be closed? |
131. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007049.png ; $\operatorname { GCD } ( a , b ) = 1$ ; confidence 1.000 | 131. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007049.png ; $\operatorname { GCD } ( a , b ) = 1$ ; confidence 1.000 | ||
| Line 286: | Line 286: | ||
143. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240441.png ; $\beta _ { 1 } , \ldots , \beta _ { p }$ ; confidence 0.501 | 143. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240441.png ; $\beta _ { 1 } , \ldots , \beta _ { p }$ ; confidence 0.501 | ||
| − | 144. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120100/k12010069.png ; $( 1 + a ) ^ { - 1 } = 1 - a + a ^ { 2 } - a ^ { 3 } +\dots$ ; confidence 1.000 | + | 144. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120100/k12010069.png ; $( 1 + a ) ^ { - 1 } = 1 - a + a ^ { 2 } - a ^ { 3 } +\dots .$ ; confidence 1.000 |
145. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130070/f13007014.png ; $F ( 2,2 n ) = \pi _ { 1 } ( M _ { n } )$ ; confidence 0.501 | 145. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130070/f13007014.png ; $F ( 2,2 n ) = \pi _ { 1 } ( M _ { n } )$ ; confidence 0.501 | ||
| Line 294: | Line 294: | ||
147. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094080/t0940807.png ; $\pi _ { n } ( X ; A , B , x _ { 0 } )$ ; confidence 1.000 | 147. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094080/t0940807.png ; $\pi _ { n } ( X ; A , B , x _ { 0 } )$ ; confidence 1.000 | ||
| − | 148. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b13029013.png ; ${\bf l} _ { A } ( M / q M )$ ; confidence 0.501 | + | 148. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b13029013.png ; ${\bf l} _ { A } ( M / \text{q}M )$ ; confidence 0.501 |
149. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130020/f13002017.png ; $\delta _ { \text{BRST} } ^ { 2 } = 0$ ; confidence 1.000 | 149. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130020/f13002017.png ; $\delta _ { \text{BRST} } ^ { 2 } = 0$ ; confidence 1.000 | ||
| Line 308: | Line 308: | ||
154. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011670/a01167078.png ; $x _ { 1 } , \dots , x _ { r }$ ; confidence 0.500 | 154. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011670/a01167078.png ; $x _ { 1 } , \dots , x _ { r }$ ; confidence 0.500 | ||
| − | 155. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b12042097.png ; ${\bf Z} | + | 155. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b12042097.png ; ${\bf Z} / 2 {\bf Z}$ ; confidence 1.000 |
156. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130650/s13065043.png ; $\psi _ { n } ( z ) = \frac { 1 } { 2 \pi } \int _ { - \pi } ^ { \pi } R ( e ^ { i \theta } , z ) [ \phi _ { n } ( e ^ { i \theta } ) - \phi _ { n } ( z ) ] d \mu ( \theta ).$ ; confidence 0.500 | 156. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130650/s13065043.png ; $\psi _ { n } ( z ) = \frac { 1 } { 2 \pi } \int _ { - \pi } ^ { \pi } R ( e ^ { i \theta } , z ) [ \phi _ { n } ( e ^ { i \theta } ) - \phi _ { n } ( z ) ] d \mu ( \theta ).$ ; confidence 0.500 | ||
| − | 157. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b12021027.png ; $\wedge ^ { k } (\ | + | 157. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b12021027.png ; $\wedge ^ { k } (\mathfrak{a} )$ ; confidence 1.000 |
| − | 158. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240336.png ; $\bf Z = X \Gamma + F$ ; confidence 1.000 | + | 158. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240336.png ; ${\bf Z = X} \Gamma + \bf F$ ; confidence 1.000 |
| − | 159. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130060/i130060185.png ; $ | + | 159. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130060/i130060185.png ; $\leq 2 a$ ; confidence 0.500 |
160. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b12042085.png ; $\operatorname{Vec}_n$ ; confidence 1.000 | 160. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b12042085.png ; $\operatorname{Vec}_n$ ; confidence 1.000 | ||
| − | 161. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240356.png ; $\ | + | 161. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240356.png ; $\mathsf{E} ( {\bf Z} _ { 1 } ) = 0$ ; confidence 1.000 |
162. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240272.png ; $q ^ { - 1 } \sum _ { i = 1 } ^ { q } ( z _ { i } - \zeta _ { i } ) ^ { 2 } / \operatorname{MS} _ { e }$ ; confidence 1.000 | 162. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240272.png ; $q ^ { - 1 } \sum _ { i = 1 } ^ { q } ( z _ { i } - \zeta _ { i } ) ^ { 2 } / \operatorname{MS} _ { e }$ ; confidence 1.000 | ||
| Line 328: | Line 328: | ||
164. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120200/s12020093.png ; $\{ D ^ { \lambda } : \lambda \text { a $p\square$ regular partition of } n\}$ ; confidence 1.000 | 164. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120200/s12020093.png ; $\{ D ^ { \lambda } : \lambda \text { a $p\square$ regular partition of } n\}$ ; confidence 1.000 | ||
| − | 165. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022110/c02211027.png ; $( x _ { 0 } , x _ { 1 } ] , \ldots , ( x _ { k | + | 165. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022110/c02211027.png ; $( x _ { 0 } , x _ { 1 } ] , \ldots , ( x _ { k - 1} , x _ { k } )$ ; confidence 0.500 |
166. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t130140151.png ; $\operatorname { prin } K I$ ; confidence 1.000 | 166. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t130140151.png ; $\operatorname { prin } K I$ ; confidence 1.000 | ||
| Line 336: | Line 336: | ||
168. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130080/l13008030.png ; $I + ( P _ { 1 } , \dots , P _ { m } )$ ; confidence 0.499 | 168. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130080/l13008030.png ; $I + ( P _ { 1 } , \dots , P _ { m } )$ ; confidence 0.499 | ||
| − | 169. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130110/s13011018.png ; ${ | + | 169. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130110/s13011018.png ; $\mathbf{l} ( w )$ ; confidence 1.000 |
170. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090116.png ; $\Delta ( \lambda ) = K \operatorname{GL} _ { n } ( K ) z _ { \lambda },$ ; confidence 1.000 | 170. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090116.png ; $\Delta ( \lambda ) = K \operatorname{GL} _ { n } ( K ) z _ { \lambda },$ ; confidence 1.000 | ||
| Line 386: | Line 386: | ||
193. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130100/b1301008.png ; $K _ { Z } \in H$ ; confidence 0.498 | 193. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130100/b1301008.png ; $K _ { Z } \in H$ ; confidence 0.498 | ||
| − | 194. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040234.png ; $E ( \Gamma , \Delta ) \ | + | 194. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040234.png ; $E ( \Gamma , \Delta ) \vdash _ {\cal D } \epsilon _ { i } ( \varphi , \psi )$ ; confidence 1.000 |
195. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200204.png ; $O _ { s + 2,2} (\bf R )$ ; confidence 1.000 | 195. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200204.png ; $O _ { s + 2,2} (\bf R )$ ; confidence 1.000 | ||
| Line 394: | Line 394: | ||
197. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t130140157.png ; $\chi _ { K I } : K _ { 0 } ( \operatorname { prin } K I ) \rightarrow \bf Z$ ; confidence 1.000 | 197. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t130140157.png ; $\chi _ { K I } : K _ { 0 } ( \operatorname { prin } K I ) \rightarrow \bf Z$ ; confidence 1.000 | ||
| − | 198. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j13004098.png ; $\ | + | 198. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j13004098.png ; $\mathsf{P} _ { K _ { + } } ( v , z ) - \mathsf{P} _ { K _ { - } } ( v , z ) \equiv \operatorname { lk } ( K _ { 0 } ) \operatorname { mod } ( v ^ { 2 } - 1 , z ),$ ; confidence 1.000 |
| − | 199. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120090/l12009094.png ; $[ P , ] _ { A }$ ; confidence 0.497 | + | 199. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120090/l12009094.png ; $[ P , . ] _ { A }$ ; confidence 0.497 |
200. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110010/l110010105.png ; $P = \cap _ { i \in I } P _ { i }$ ; confidence 0.497 | 200. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110010/l110010105.png ; $P = \cap _ { i \in I } P _ { i }$ ; confidence 0.497 | ||
| Line 402: | Line 402: | ||
201. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010330/a0103302.png ; $| X | ^ { r }$ ; confidence 1.000 | 201. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010330/a0103302.png ; $| X | ^ { r }$ ; confidence 1.000 | ||
| − | 202. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130090/f1300902.png ; $\left. \begin{cases} { U _ { 0 } ( x ) = 0 } \\ { U _ { 1 } ( x ) = 1 } \\ { U _ { n } ( x ) = x U _ { n - 1 } ( x ) + U _ { n - 2 } ( x ) , \quad n = 2,3 } \end{cases} \right.$ ; confidence 1.000 | + | 202. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130090/f1300902.png ; $\left. \begin{cases} { U _ { 0 } ( x ) = 0, } \\ { U _ { 1 } ( x ) = 1, } \\ { U _ { n } ( x ) = x U _ { n - 1 } ( x ) + U _ { n - 2 } ( x ) , \quad n = 2,3, \dots . } \end{cases} \right.$ ; confidence 1.000 |
203. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k0558403.png ; $[ .,. ] : \cal K \times K \rightarrow \bf C$ ; confidence 1.000 | 203. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k0558403.png ; $[ .,. ] : \cal K \times K \rightarrow \bf C$ ; confidence 1.000 | ||
| − | 204. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046020/h0460208.png ; $\| F \| _ { \infty } = \operatorname { esssup } _ { \omega } | F ( i \omega ) |$ ; confidence 0.497 | + | 204. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046020/h0460208.png ; $\| F \| _ { \infty } = \operatorname { esssup } _ { \omega } | F ( i \omega ) |.$ ; confidence 0.497 |
205. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130120/b13012072.png ; $\operatorname { lim } _ { N \rightarrow \infty } \| f - f _ { N } \| _ { \cal A ^ { * } }= 0.$ ; confidence 1.000 | 205. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130120/b13012072.png ; $\operatorname { lim } _ { N \rightarrow \infty } \| f - f _ { N } \| _ { \cal A ^ { * } }= 0.$ ; confidence 1.000 | ||
| Line 412: | Line 412: | ||
206. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130300/a13030052.png ; $( E _ { n } : n \in {\bf Z} ^ { + } )$ ; confidence 1.000 | 206. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130300/a13030052.png ; $( E _ { n } : n \in {\bf Z} ^ { + } )$ ; confidence 1.000 | ||
| − | 207. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120060/w12006086.png ; ${\cal T} _ { A } \xi = \kappa _ { M } \circ T _ { A } \xi | + | 207. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120060/w12006086.png ; ${\cal T} _ { A } \xi = \kappa _ { M } \circ T _ { A } \xi,$ ; confidence 1.000 |
208. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130010/k13001035.png ; $f ( \overset{\rightharpoonup}{ D } ( A ) ) = ( - A ^ { 3 } ) ^ { - \operatorname { Tait } ( \overset{\rightharpoonup}{ D } ) } ( D )$ ; confidence 1.000 | 208. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130010/k13001035.png ; $f ( \overset{\rightharpoonup}{ D } ( A ) ) = ( - A ^ { 3 } ) ^ { - \operatorname { Tait } ( \overset{\rightharpoonup}{ D } ) } ( D )$ ; confidence 1.000 | ||
| Line 418: | Line 418: | ||
209. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050430/i0504302.png ; $a _ { 1 } , \dots , a _ { r }$ ; confidence 0.497 | 209. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050430/i0504302.png ; $a _ { 1 } , \dots , a _ { r }$ ; confidence 0.497 | ||
| − | 210. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a13032040.png ; $\ | + | 210. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a13032040.png ; $\mathsf{E} ( Y ) = 2 \theta - 1$ ; confidence 1.000 |
| − | 211. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120120/m120120102.png ; $u \in Q _ { | + | 211. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120120/m120120102.png ; $u \in Q _ { \text{l} } ( R )$ ; confidence 0.497 |
212. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120080/i12008075.png ; ${\cal P} = ( P _ { s s ^ { \prime } } ) = ( \langle S | {\cal P} | S ^ { \prime } \rangle )$ ; confidence 1.000 | 212. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120080/i12008075.png ; ${\cal P} = ( P _ { s s ^ { \prime } } ) = ( \langle S | {\cal P} | S ^ { \prime } \rangle )$ ; confidence 1.000 | ||
| Line 432: | Line 432: | ||
216. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200186.png ; $\rho \in \mathfrak { h } ^ { * }$ ; confidence 0.496 | 216. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200186.png ; $\rho \in \mathfrak { h } ^ { * }$ ; confidence 0.496 | ||
| − | 217. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s13064074.png ; $E ( a ) = \operatorname { exp } ( \int _ { 0 } ^ { \infty } t \hat{s} ( t ) \hat{s} ( - t ) d t ).$ ; confidence 1.000 | + | 217. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s13064074.png ; $E ( a ) = \operatorname { exp } \left( \int _ { 0 } ^ { \infty } t \hat{s} ( t ) \hat{s} ( - t ) d t \right) .$ ; confidence 1.000 |
218. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130220/m13022032.png ; $\rho _ { d }$ ; confidence 0.496 | 218. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130220/m13022032.png ; $\rho _ { d }$ ; confidence 0.496 | ||
| Line 438: | Line 438: | ||
219. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015120/b01512014.png ; $S ^ { n - 1 }$ ; confidence 0.496 | 219. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015120/b01512014.png ; $S ^ { n - 1 }$ ; confidence 0.496 | ||
| − | 220. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z13011073.png ; $x \mu _ { | + | 220. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z13011073.png ; $x \mu _ { n } ( x )$ ; confidence 1.000 |
| − | 221. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130170/d13017046.png ; $\sum _ { i = 1 } ^ { k } \lambda _ { i } \geq \frac { n } { n + 2 } \frac { 4 \pi ^ { 2 } k ^ { 1 + 2 / n } } { ( C _ { n } | \Omega | ) ^ { 2 / n } } k = 1,2 , \ldots$ ; confidence 0.496 | + | 221. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130170/d13017046.png ; $\sum _ { i = 1 } ^ { k } \lambda _ { i } \geq \frac { n } { n + 2 } \frac { 4 \pi ^ { 2 } k ^ { 1 + 2 / n } } { ( C _ { n } | \Omega | ) ^ { 2 / n } } k = 1,2 , \ldots ,$ ; confidence 0.496 |
222. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120240/m1202401.png ; $\psi _ { x y } + u ( x , y ) \psi = 0$ ; confidence 1.000 | 222. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120240/m1202401.png ; $\psi _ { x y } + u ( x , y ) \psi = 0$ ; confidence 1.000 | ||
| Line 450: | Line 450: | ||
225. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b12042013.png ; $\Phi : ( \otimes ) \otimes \rightarrow \otimes ( \otimes )$ ; confidence 1.000 | 225. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b12042013.png ; $\Phi : ( \otimes ) \otimes \rightarrow \otimes ( \otimes )$ ; confidence 1.000 | ||
| − | 226. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120020/e12002023.png ; ${\cal H} *$ ; confidence 1.000 | + | 226. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120020/e12002023.png ; ${\cal H}_*$ ; confidence 1.000 |
227. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130310/a13031041.png ; ${\cal Q}_2$ ; confidence 1.000 | 227. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130310/a13031041.png ; ${\cal Q}_2$ ; confidence 1.000 | ||
| Line 472: | Line 472: | ||
236. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004042.png ; $\operatorname { Th } \cal D$ ; confidence 1.000 | 236. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004042.png ; $\operatorname { Th } \cal D$ ; confidence 1.000 | ||
| − | 237. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120030/b12003049.png ; $\| t g ( t ) \| _ { 2 } \| \gamma \ | + | 237. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120030/b12003049.png ; $\| t g ( t ) \| _ { 2 } \| \gamma \hat{g} ( \gamma ) \| _ { 2 } = \infty$ ; confidence 1.000 |
238. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120100/b12010036.png ; $U ^ { ( n )_ t} = \sum _ { k = 0 } ^ { n } \frac { ( - 1 ) ^ { k } } { k ! ( n - k ) ! } S ^ { s + n - k } ( - t , x _ { 1 } , \dots , x _ { s + n - k} )$ ; confidence 1.000 | 238. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120100/b12010036.png ; $U ^ { ( n )_ t} = \sum _ { k = 0 } ^ { n } \frac { ( - 1 ) ^ { k } } { k ! ( n - k ) ! } S ^ { s + n - k } ( - t , x _ { 1 } , \dots , x _ { s + n - k} )$ ; confidence 1.000 | ||
| − | 239. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120110/m12011070.png ; $( F ^ { n } , h : F \rightarrow F ) \rightarrow T ( h )$ ; confidence 1.000 | + | 239. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120110/m12011070.png ; $( F ^ { n } , h : F \rightarrow F ) \rightarrow T ( h ),$ ; confidence 1.000 |
240. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120140/b12014042.png ; $s _ { i } ( z )$ ; confidence 0.496 | 240. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120140/b12014042.png ; $s _ { i } ( z )$ ; confidence 0.496 | ||
| Line 494: | Line 494: | ||
247. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b017470223.png ; $\tilde{\omega}$ ; confidence 1.000 | 247. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b017470223.png ; $\tilde{\omega}$ ; confidence 1.000 | ||
| − | 248. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022110/c0221105.png ; $X ^ { 2 } = \sum _ { i = 1 } ^ { k } \frac { ( \nu _ { i } - n p _ { i } ) ^ { 2 } } { n p _ { i } } = \frac { 1 } { n } \sum \frac { \nu _ { i } ^ { 2 } } { p _ { i } } - n , \quad n = \nu _ { 1 } + \ldots + \nu _ { k }$ ; confidence 0.495 | + | 248. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022110/c0221105.png ; $X ^ { 2 } = \sum _ { i = 1 } ^ { k } \frac { ( \nu _ { i } - n p _ { i } ) ^ { 2 } } { n p _ { i } } = \frac { 1 } { n } \sum \frac { \nu _ { i } ^ { 2 } } { p _ { i } } - n , \quad n = \nu _ { 1 } + \ldots + \nu _ { k },$ ; confidence 0.495 |
249. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120010/q12001018.png ; $\varphi_j ( f )$ ; confidence 1.000 | 249. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120010/q12001018.png ; $\varphi_j ( f )$ ; confidence 1.000 | ||
| Line 512: | Line 512: | ||
256. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f12011095.png ; $K \subset D ^ { n }$ ; confidence 1.000 | 256. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f12011095.png ; $K \subset D ^ { n }$ ; confidence 1.000 | ||
| − | 257. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120270/s12027018.png ; $S _ { m } [ f ] = \sum _ { v = 1 } ^ { m } b _ { v , m } f ( y_{v , m} )$ ; confidence 1.000 | + | 257. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120270/s12027018.png ; $S _ { m } [ f ] = \sum _ { v = 1 } ^ { m } b _ { v , m } f ( y_{v , m} ),$ ; confidence 1.000 |
258. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130100/r13010050.png ; $\overset{\rightharpoonup} { \Delta }$ ; confidence 1.000 | 258. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130100/r13010050.png ; $\overset{\rightharpoonup} { \Delta }$ ; confidence 1.000 | ||
| Line 518: | Line 518: | ||
259. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013064.png ; $\theta _ { n } ^ { * }$ ; confidence 0.495 | 259. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013064.png ; $\theta _ { n } ^ { * }$ ; confidence 0.495 | ||
| − | 260. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120030/m12003098.png ; $M = \int ( \partial / \partial e ) \eta ( \overset{\rightharpoonup} { x } , e ) \overset{\rightharpoonup} { x } \overset{\rightharpoonup} { | + | 260. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120030/m12003098.png ; $M = \int ( \partial / \partial e ) \eta ( \overset{\rightharpoonup} { x } , e ) \overset{\rightharpoonup} { x } \overset{\rightharpoonup} {x } ^ { t } d H _ { \overset{\rightharpoonup} { \theta } } ( \overset{\rightharpoonup} { x } , y )$ ; confidence 1.000 |
| − | 261. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008050.png ; $\frac { d \operatorname { ln } g ( L ; m , s ) } { d m } \frac { d \operatorname { ln } g ( R ; m , s ) } { d s }$ ; confidence | + | 261. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008050.png ; $\frac { d \operatorname { ln } g ( L ; m , s ) } { d m } \frac { d \operatorname { ln } g ( R ; m , s ) } { d s }=$ ; confidence 1.000 |
262. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130440/s13044027.png ; $H ^ { N - 1 - k } ( S ^ { n } \backslash X )$ ; confidence 1.000 | 262. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130440/s13044027.png ; $H ^ { N - 1 - k } ( S ^ { n } \backslash X )$ ; confidence 1.000 | ||
| Line 526: | Line 526: | ||
263. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010283.png ; $i = 0 , \ldots , n - 1$ ; confidence 0.495 | 263. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010283.png ; $i = 0 , \ldots , n - 1$ ; confidence 0.495 | ||
| − | 264. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j120020119.png ; $\int _ { \partial D } \operatorname { exp } ( \varepsilon | \varphi ( e ^ { i \vartheta } ) - \varphi _ { I } | ) d \vartheta$ ; confidence 0.495 | + | 264. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j120020119.png ; $\int _ { \partial D } \operatorname { exp } \left( \varepsilon | \varphi ( e ^ { i \vartheta } ) - \varphi _ { I } | \right) d \vartheta$ ; confidence 0.495 |
265. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120030/n12003030.png ; $s _ { A } : A \times L A \rightarrow L A$ ; confidence 1.000 | 265. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120030/n12003030.png ; $s _ { A } : A \times L A \rightarrow L A$ ; confidence 1.000 | ||
| Line 548: | Line 548: | ||
274. https://www.encyclopediaofmath.org/legacyimages/z/z120/z120010/z1200106.png ; $\{ e _ { i } : - 1 \leq i \leq p ^ { m } - 2 \}$ ; confidence 0.494 | 274. https://www.encyclopediaofmath.org/legacyimages/z/z120/z120010/z1200106.png ; $\{ e _ { i } : - 1 \leq i \leq p ^ { m } - 2 \}$ ; confidence 0.494 | ||
| − | 275. https://www.encyclopediaofmath.org/legacyimages/y/y120/y120040/y12004016.png ; $\tilde{ | + | 275. https://www.encyclopediaofmath.org/legacyimages/y/y120/y120040/y12004016.png ; $\tilde{I} ( \nu ) = \operatorname { lim } _ { j \rightarrow \infty } I ( u _ { j } )$ ; confidence 1.000 |
276. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020030/c02003032.png ; $V ^ { 1 } , V ^ { 2 } , \dots,$ ; confidence 0.494 | 276. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020030/c02003032.png ; $V ^ { 1 } , V ^ { 2 } , \dots,$ ; confidence 0.494 | ||
| Line 556: | Line 556: | ||
278. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t13013098.png ; $\operatorname{coh} \bf X$ ; confidence 1.000 | 278. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t13013098.png ; $\operatorname{coh} \bf X$ ; confidence 1.000 | ||
| − | 279. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z13011060.png ; $\frac { \mu _ { n } ( x ) } { \mu _ { n } } \stackrel { \ | + | 279. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z13011060.png ; $\frac { \mu _ { n } ( x ) } { \mu _ { n } } \stackrel { \mathsf{P} } { \rightarrow } \alpha ( x ) = - \int _ { 0 } ^ { \infty } \frac { \lambda ^ { x } e ^ { - \lambda } } { x ! } R ( d \lambda )$ ; confidence 0.493 |
280. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z13011039.png ; $x = 1 , \dots , f_{( 1 , n )}$ ; confidence 1.000 | 280. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z13011039.png ; $x = 1 , \dots , f_{( 1 , n )}$ ; confidence 1.000 | ||
| Line 562: | Line 562: | ||
281. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130130/h13013010.png ; $r_j > 0$ ; confidence 1.000 | 281. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130130/h13013010.png ; $r_j > 0$ ; confidence 1.000 | ||
| − | 282. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t13005041.png ; $\sigma _ { T } ( A , {\cal X} ) : = \{ \lambda \in {\bf C} ^ { n } : A - \lambda \text { is singular } \}$ ; confidence 1.000 | + | 282. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t13005041.png ; $\sigma _ { \text{T} } ( A , {\cal X} ) : = \{ \lambda \in {\bf C} ^ { n } : A - \lambda \text { is singular } \}.$ ; confidence 1.000 |
| − | 283. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120260/e120260135.png ; $\pi _ { v , p } ( d \theta ) P ( \theta , \mu ) ( d x )$ ; confidence | + | 283. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120260/e120260135.png ; $\pi _ { v , p } ( d \theta ) \mathsf{P} ( \theta , \mu ) ( d x )$ ; confidence 1.000 |
| − | 284. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120200/a12020052.png ; $P ( t ) = \prod _ { m = 1 } ^ { n } ( t - t _ { m } ) ^ { | + | 284. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120200/a12020052.png ; $P ( t ) = \prod _ { m = 1 } ^ { n } ( t - t _ { m } ) ^ { r _ { m } }$ ; confidence 0.493 |
285. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130260/b13026078.png ; ${\bf R} ^ { n } \backslash K _ { 2 }$ ; confidence 1.000 | 285. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130260/b13026078.png ; ${\bf R} ^ { n } \backslash K _ { 2 }$ ; confidence 1.000 | ||
| Line 578: | Line 578: | ||
289. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015280/b01528024.png ; $A _ { 0 } , \ldots , A _ { n }$ ; confidence 1.000 | 289. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015280/b01528024.png ; $A _ { 0 } , \ldots , A _ { n }$ ; confidence 1.000 | ||
| − | 290. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180223.png ; $\in { | + | 290. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180223.png ; $\in \mathsf{A} ^ { 2 } {\cal E} \bigotimes \mathsf{A} ^ { 2 } {\cal E};$ ; confidence 1.000 |
291. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032011.png ; $x \otimes y \rightarrow x . y$ ; confidence 0.493 | 291. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032011.png ; $x \otimes y \rightarrow x . y$ ; confidence 0.493 | ||
| Line 598: | Line 598: | ||
299. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120060/l12006081.png ; $( g, f ( z ) )$ ; confidence 1.000 | 299. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120060/l12006081.png ; $( g, f ( z ) )$ ; confidence 1.000 | ||
| − | 300. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120140/e12014029.png ; $f { t _ { 1 } \ldots t _ { \rho } ( f )} \in T$ ; confidence 1.000 | + | 300. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120140/e12014029.png ; $f _{ t _ { 1 } \ldots t _ { \rho } ( f )} \in T$ ; confidence 1.000 |
Latest revision as of 17:10, 10 May 2020
List
1. 
; $X _ { f }$ ; confidence 0.508
2. 
; $f \preceq g$ ; confidence 1.000
3. 
; $\sigma ( L _ {\bf C } ^ { \infty } ( \hat { G } ) , L _ {\bf C } ^ { 1 } ( \hat { G } ) )$ ; confidence 1.000
4. 
; $\bf l \in C$ ; confidence 1.000
5. 
; $Z ( x ( n ) ^ { * } y ( n ) ) = Z ( x ( n ) ) .Z ( y ( n ) ).$ ; confidence 1.000
6. 
; $\frac { 1 } { n } \sum _ { j = 1 } ^ { n } \frac { x _ { j } - 1 + p _ { j } } { 2 p _ { j } - 1 }$ ; confidence 0.508
7. 
; $\frak V$ ; confidence 1.000
8. 
; $ Z ^ { * }$ ; confidence 1.000
9. 
; $g ( x , k ) = - b ( - k ) f ( x , k ) + a ( k ) f ( x , - k ),$ ; confidence 0.508
10. 
; $\langle x \rangle ^ { G }$ ; confidence 1.000
11. 
; $v _ { i } \phi _ { , i } = ( {\bf v} . \nabla ) \phi$ ; confidence 1.000
12. 
; $( \operatorname{Hom} _ {\frak a } ( D , N ) , \delta ^ { \prime } )$ ; confidence 1.000
13. 
; $( {\bf v} . \nabla ) {\bf v} = \frac { 1 } { 2 } \nabla v ^ { 2 } + ( \operatorname { curl } {\bf v} ) \times {\bf v}.$ ; confidence 1.000
14. 
; $\beta _ { 1 }$ ; confidence 1.000
15. 
; $\& , \vee , \supset , \neg$ ; confidence 0.508
16. 
; $B _ { n } f$ ; confidence 1.000
17. 
; $x \subseteq y$ ; confidence 0.507
18. 
; $\langle U _ { \mu } ( x ) , \rho \rangle = \int \langle U _ { t } ( x ) , \rho \rangle d \mu ( t )$ ; confidence 1.000
19. 
; $=\lambda \int _ { 0 } ^ { \infty } \frac { \int _ { 0 } ^ { x } y [ 1 - B ( y ) ] d y } { [ 1 - \rho ( x ) ] ^ { 2 } } d B ( x ) + \int _ { 0 } ^ { \infty } \frac { 1 - B ( x ) } { 1 - \rho ( x ) } d x,$ ; confidence 0.507
20. 
; $\operatorname { lim } _ { N \rightarrow \infty } \operatorname { sup } _ { \varepsilon } \left| \frac { 1 } { N } \sum _ { n = 1 } ^ { N } f ( T ^ { n } x ) e ^ { 2 \pi i n \varepsilon } \right| = 0.$ ; confidence 0.507
21. 
; $a ^ { N_ 0} \neq 0$ ; confidence 1.000
22. 
; $\partial \phi / \partial x _ { i } = \phi _ { ,i }$ ; confidence 1.000
23. 
; $h ( x ) \not\equiv 0$ ; confidence 1.000
24. 
; $\operatorname{GL}_l$ ; confidence 1.000
25. 
; $0 \in {\bf R} ^ { n }$ ; confidence 1.000
26. 
; $\hat{\eta}$ ; confidence 1.000
27. 
; $\theta \geq 0$ ; confidence 1.000
28. 
; $d _ { \text{in} } \leq 2$ ; confidence 1.000
29. 
; $\operatorname { diag } ( t _ { 1 } , \ldots , t _ { n } ) \mapsto t _ { 1 } ^ { \lambda _ { 1 } } \ldots t _ { n } ^ { \lambda _ { n } } \in K,$ ; confidence 0.507
30. 
; $\rho ^ { \prime } = \operatorname { grad } \rho = ( \partial \rho / \partial \zeta _ { 1 } , \dots , \partial \rho / \partial \zeta _ { n } )$ ; confidence 0.507
31. 
; $A _ { j_{n _ { k } }} \subset B , \quad k \in \bf N$ ; confidence 1.000
32. 
; $\gamma = ( \gamma _ { 1 } , \gamma _ { 2 } , \dots )$ ; confidence 0.506
33. 
; $\dot { x } ( t ) = f ( t , x ( t - h _ { 1 } ( t ) ) , \ldots , x ( t - h _ { k } ( t ) ),$ ; confidence 0.506
34. 
; $\Pi _ { \kappa }$ ; confidence 1.000
35. 
; $Z _ { G } ( - q ^ { - 1 } )$ ; confidence 0.506
36. 
; $n \in {\bf N} , \epsilon = \pm 1.$ ; confidence 1.000
37. 
; $R _ { n } > \frac { \operatorname { log } 2 } { 1 + \frac { 1 } { 2 } + \ldots + \frac { 1 } { n } }.$ ; confidence 0.506
38. 
; $a = B / \overline { u } T$ ; confidence 1.000
39. 
; $C _ { m } ^ { 1 } , \ldots$ ; confidence 0.506
40. 
; $k_G$ ; confidence 1.000
41. 
; $\operatorname{IF} ( x ; T , G )$ ; confidence 1.000
42. 
; $F \in \operatorname { Hol } ( \bf B )$ ; confidence 1.000
43. 
; $i = 0 , \dots , m$ ; confidence 0.506
44. 
; $T _ { \text { vert } } ^ { * } Y$ ; confidence 0.506
45. 
; $K [ f _ { 1 } , \ldots , f _ { d } ]$ ; confidence 0.506
46. 
; $\langle a b \langle c d e \rangle \rangle = \langle \langle a b c \rangle \rangle + \varepsilon \langle c \langle b a d \rangle e \rangle + \langle c d \langle a b e \rangle \rangle,$ ; confidence 1.000
47. 
; $\hat { X } = ( A , B )$ ; confidence 1.000
48. 
; $m _ { i j } \in \{ 0,1 \}$ ; confidence 0.505
49. 
; $U ( g ) \varphi_j ( f ) U ( g ^ { - 1 } )$ ; confidence 1.000
50. 
; ${\bf T} ^ { 2 }$ ; confidence 1.000
51. 
; $\mathfrak { n } ^ { + } = [ \mathfrak { b } , \mathfrak { b } ]$ ; confidence 0.505
52. 
; $1 = | z _ { 1 } | \geq \ldots \geq | z _ { n } | > 0$ ; confidence 0.505
53. 
; $( - ) ^ { * } : \cal C ^ { \operatorname{op} } \rightarrow C$ ; confidence 1.000
54. 
; $\tilde { \Omega }$ ; confidence 0.505
55. 
; $\Lambda M = M \Lambda ^ { t }$ ; confidence 1.000
56. 
; $S \subset M ^ { n }$ ; confidence 1.000
57. 
; $\left( \begin{array} { c } { [ n ] } \\ { k } \end{array} \right) : = \{ X \subseteq [ n ] : | X | = k \}$ ; confidence 0.505
58. 
; $S _ { \text{V} }$ ; confidence 1.000
59. 
; $\beta_j > 0$ ; confidence 1.000
60. 
; $\{ B x _ { n } \}$ ; confidence 1.000
61. 
; $b _ { N } = 0$ ; confidence 0.505
62. 
; $B = k [ [ X _ { 1 } , \dots , X _ { d } , Y _ { 1 } , \dots , Y _ { d } ]]$ ; confidence 0.505
63. 
; $a _ { n + 1 }$ ; confidence 1.000
64. 
; $n / 2$ ; confidence 1.000
65. 
; $Y , Y _ { 1 } , Y _ { 2 } , \dots$ ; confidence 0.505
66. 
; $\{ y _ { n } \}$ ; confidence 1.000
67. 
; $d _ { 1 } , \dots , d _ { n }$ ; confidence 0.504
68. 
; $\varphi ^ { \prime }$ ; confidence 1.000
69. 
; $\sum _ { i } a _ { i } x _ { i } \leq c$ ; confidence 0.504
70. 
; $y ( \lambda z z ) \equiv y ( \lambda x x ) \not \equiv w ( \lambda x x )$ ; confidence 0.504
71. 
; $Y = [ 0,2 \pi [ ^ { N } $ ; confidence 1.000
72. 
; $( \alpha _ { 1 } , \alpha _ { 2 } , \dots , \alpha _ { q } \cup \gamma ^ { d } ) \in {\cal F} ( S ^ { d } ) ^ { q }$ ; confidence 1.000
73. 
; $k \langle x _ { i } \rangle$ ; confidence 1.000
74. 
; $\mathsf{E} [ T _ { p } ] _ {\text{PR} } = \frac { 1 } { 2 ( 1 - \sigma _ { p - 1 } ) ( 1 - \sigma _ { p } ) } \sum _ { k = 1 } ^ { p } \lambda _ { k } b _ { k } ^ { ( 2 ) } + \frac { b _ { p } } { 1 - \sigma _ { p - 1 } }$ ; confidence 1.000
75. 
; $\Pi ^ { \text { re } }$ ; confidence 0.504
76. 
; $\omega _ { n } = \frac { 2 \pi ^ { n / 2 } } { \Gamma ( \frac { n } { 2 } ) }$ ; confidence 0.504
77. 
; $\mu _ { k }$ ; confidence 0.504
78. 
; $\square ^ { t } a P a$ ; confidence 0.504
79. 
; $f = ( \lambda - a ) ^ { s }$ ; confidence 0.504
80. 
; $a_3$ ; confidence 1.000
81. 
; $[ \varphi \bigotimes x , \psi \bigotimes Y ] =$ ; confidence 1.000
82. 
; $+\frac { - 1 } { k ! ( \text{l} - 1 ) ! } \times \times \sum _ { \sigma } \operatorname { sign } \sigma \omega ( [ K ( X _ { \sigma 1 } , \ldots , X _ { \sigma k } ) , X _ { \sigma ( k + 1 ) } ] , X _ { \sigma ( k + 2 ) } , \ldots )+$ ; confidence 1.000
83. 
; $k$ ; confidence 0.504
84. 
; $\cal E$ ; confidence 1.000
85. 
; $M _ { 6 } = \operatorname { min } _ { j } | \operatorname { arc } z _ { j } |$ ; confidence 0.504
86. 
; $\Delta ( \Lambda , M ) = \text { Det } [ E \bigotimes \Lambda - A \bigotimes M ] =$ ; confidence 1.000
87. 
; $\partial S ( \phi ) = S ( d \phi )$ ; confidence 0.504
88. 
; $\mu ( A ) = | A |$ ; confidence 0.504
89. 
; $\operatorname{GL} _ { s } ( K )$ ; confidence 1.000
90. 
; $T$ ; confidence 0.504
91. 
; $E _ { 1 } = E _ { 0 } + \int _ { 0 } ^ { \infty } \frac { | ( V \phi | \lambda \rangle | ^ { 2 } } { E _ { 1 } - \lambda } d \lambda < 0.$ ; confidence 0.504
92. 
; ${\bf R} _ { x } ^ { 3 N } \times {\bf R} _ { p } ^ { 3 N }$ ; confidence 1.000
93. 
; $\mathsf{E} _ { \mathsf{P} _ { n } } ( d ) = \mathsf{E} _ { \mathsf{P}_ { n } } ( d ^ { * } )$ ; confidence 1.000
94. 
; $\delta > ( 3 n - 2 ) / 6$ ; confidence 0.503
95. 
; $\left( \begin{array} { c c } { L ( a , b ) } & { 0 } \\ { 0 } & { \varepsilon L ( b , a ) } \end{array} \right);$ ; confidence 1.000
96. 
; $M _ { 5 } = \operatorname { max } _ { j } | b _ { j } |$ ; confidence 0.503
97. 
; $P _ { + } T P _ { - }$ ; confidence 0.503
98. 
; $= - J - k _ { B }T \operatorname { ln } \left\{ \operatorname { cosh } \left( \frac { H } { k _ { B } T } \right) + + \left[ \operatorname { sinh } ^ { 2 } \left( \frac { H } { k _ { B } T } \right) + \operatorname { exp } \left( - \frac { 4 J } { k _ { B } T } \right) \right] ^ { 1 / 2 } \right\},$ ; confidence 1.000
99. 
; $\tilde { h } : Z \rightarrow B$ ; confidence 0.503
100. 
; $\lambda_j$ ; confidence 1.000
101. 
; $y \in H$ ; confidence 0.503
102. 
; $R _ { L }$ ; confidence 1.000
103. 
; $a \in B$ ; confidence 0.503
104. 
; $g \in \operatorname { Gal } ( k _ { \infty } ^ { \prime } / k )$ ; confidence 0.503
105. 
; $( \epsilon \bigotimes \operatorname{id} _ { A } ) \circ L = \operatorname{id} _ { A }.$ ; confidence 1.000
106. 
; $u . v$ ; confidence 1.000
107. 
; $q _ { A_ { 2 } } \circ \mu = q _ { A _ { 1 } }$ ; confidence 1.000
108. 
; $P .P \subseteq P$ ; confidence 1.000
109. 
; $D _ { \xi } = ( 1 , \xi _ { 1 } , \dots , \xi _ { N } , | \xi | ^ { 2 } / 2 )\bf R _ { + }$ ; confidence 1.000
110. 
; $\xi : X \rightarrow B O _ { n }$ ; confidence 1.000
111. 
; $\times \int _ { 0 } ^ { \alpha } [ K _ { i \tau } ( \alpha ) I _ { i \tau } ( x ) - I _ { i \tau } ( \alpha ) K _ { i \tau } ( x ) ] f ( x ) \frac { d x } { x },$ ; confidence 0.502
112. 
; $O ( | V |+ | E | )$ ; confidence 1.000
113. 
; $h _ { \lambda _ { i } }$ ; confidence 0.502
114. 
; $\int _ { \operatorname{SO} ( n ) } d \gamma \int _ { 0 } ^ { \infty } \frac { f ^ { * } \mu _ { \gamma , t } } { t } d t = c _ { \mu } f.$ ; confidence 1.000
115. 
; $\operatorname{Wh} ^ { * }$ ; confidence 1.000
116. 
; $m _ { n } : {\cal A} \rightarrow [ 0 , + \infty )$ ; confidence 1.000
117. 
; $j = 1 , \dots , k$ ; confidence 0.502
118. 
; $n _ { + }$ ; confidence 0.502
119. 
; $X = C ( S \times T )$ ; confidence 0.502
120. 
; $\mathsf{E} X$ ; confidence 1.000
121. 
; ${\cal C} = \operatorname { co }\cal C$ ; confidence 1.000
122. 
; $x \in U$ ; confidence 0.502
123. 
; $f \in \operatorname { Lip } 1$ ; confidence 0.502
124. 
; $\lambda _ { 1 } ( \Omega ) \geq \frac { a } { r _ { \Omega } ^ { 2 } }$ ; confidence 0.502
125. 
; $\operatorname{Sp} ( n )$ ; confidence 1.000
126. 
; $K _ { 1 } ( {\cal O} _ { n } ) = 0$ ; confidence 1.000
127. 
; $e ^ { \pi z }$ ; confidence 0.502
128. 
; $\tilde { \Omega } _ { S 5 } T$ ; confidence 0.501
129. 
; $\{ f_j \}$ ; confidence 1.000
130. 
; $q \in L ^ { 1 } ( 0 , \infty )$ ; confidence 0.501 NOTE: should the bracket be closed?
131. 
; $\operatorname { GCD } ( a , b ) = 1$ ; confidence 1.000
132. 
; $m$ ; confidence 0.501
133. 
; $\operatorname { size } ( x ) = n$ ; confidence 0.501
134. 
; $d _ { i + 1 }$ ; confidence 1.000
135. 
; $q \in k$ ; confidence 0.501
136. 
; $Z \subset X$ ; confidence 0.501
137. 
; $\gamma \rho ^ { 2 / 3 } = \Phi$ ; confidence 1.000
138. 
; $\frac { \partial c } { \partial t } = \operatorname { div } \{ M \operatorname { grad } [ f _ { 0 } ^ { \prime } ( c ) - 2 \kappa \Delta c ] \} \text { in } V,$ ; confidence 0.501
139. 
; $K ( ., s ) \in L ^ { 1 } ( \mu )$ ; confidence 1.000
140. 
; $\varphi ( a , b , 1 ) = a. b$ ; confidence 1.000
141. 
; $K = e ^ { - \beta h } \in T _ { 1 } ( H )$ ; confidence 0.501
142. 
; $p \in \bf R$ ; confidence 1.000
143. 
; $\beta _ { 1 } , \ldots , \beta _ { p }$ ; confidence 0.501
144. 
; $( 1 + a ) ^ { - 1 } = 1 - a + a ^ { 2 } - a ^ { 3 } +\dots .$ ; confidence 1.000
145. 
; $F ( 2,2 n ) = \pi _ { 1 } ( M _ { n } )$ ; confidence 0.501
146. 
; $\lambda _ { 1 } + j , \ldots , \lambda _ { \nu } + j$ ; confidence 0.501
147. 
; $\pi _ { n } ( X ; A , B , x _ { 0 } )$ ; confidence 1.000
148. 
; ${\bf l} _ { A } ( M / \text{q}M )$ ; confidence 0.501
149. 
; $\delta _ { \text{BRST} } ^ { 2 } = 0$ ; confidence 1.000
150. 
; $0 < m \leq n$ ; confidence 0.500
151. 
; $\tilde {\cal P }$ ; confidence 1.000
152. 
; $V _ { 1 } \bigotimes \ldots \bigotimes V _ { n } \rightarrow V _ { \sigma ( 1 ) } \bigotimes \ldots \bigotimes V _ { \sigma ( n ) }$ ; confidence 1.000
153. 
; $W _ { \text{loc} } ^ { 1 , n } ( G )$ ; confidence 1.000
154. 
; $x _ { 1 } , \dots , x _ { r }$ ; confidence 0.500
155. 
; ${\bf Z} / 2 {\bf Z}$ ; confidence 1.000
156. 
; $\psi _ { n } ( z ) = \frac { 1 } { 2 \pi } \int _ { - \pi } ^ { \pi } R ( e ^ { i \theta } , z ) [ \phi _ { n } ( e ^ { i \theta } ) - \phi _ { n } ( z ) ] d \mu ( \theta ).$ ; confidence 0.500
157. 
; $\wedge ^ { k } (\mathfrak{a} )$ ; confidence 1.000
158. 
; ${\bf Z = X} \Gamma + \bf F$ ; confidence 1.000
159. 
; $\leq 2 a$ ; confidence 0.500
160. 
; $\operatorname{Vec}_n$ ; confidence 1.000
161. 
; $\mathsf{E} ( {\bf Z} _ { 1 } ) = 0$ ; confidence 1.000
162. 
; $q ^ { - 1 } \sum _ { i = 1 } ^ { q } ( z _ { i } - \zeta _ { i } ) ^ { 2 } / \operatorname{MS} _ { e }$ ; confidence 1.000
163. 
; $TT'$ ; confidence 1.000
164. 
; $\{ D ^ { \lambda } : \lambda \text { a $p\square$ regular partition of } n\}$ ; confidence 1.000
165. 
; $( x _ { 0 } , x _ { 1 } ] , \ldots , ( x _ { k - 1} , x _ { k } )$ ; confidence 0.500
166. 
; $\operatorname { prin } K I$ ; confidence 1.000
167. 
; $\operatorname { sup } _ { z _ { 1 } , \ldots , z _ { n } \in U } \operatorname { min } _ { k \in S } \frac { | \sum _ { j = 1 } ^ { n } b _ { j } z _ { j } ^ { k } | } { M _ { d } ( k ) }$ ; confidence 1.000
168. 
; $I + ( P _ { 1 } , \dots , P _ { m } )$ ; confidence 0.499
169. 
; $\mathbf{l} ( w )$ ; confidence 1.000
170. 
; $\Delta ( \lambda ) = K \operatorname{GL} _ { n } ( K ) z _ { \lambda },$ ; confidence 1.000
171. 
; $x,x_0$ ; confidence 1.000
172. 
; $V _ { \text { simp } } ( O _ { K , p } ) \neq \emptyset$ ; confidence 1.000
173. 
; $t \in {\bf R}_ +$ ; confidence 1.000
174. 
; $\pi '$ ; confidence 1.000
175. 
; $m$ ; confidence 0.499
176. 
; $P ( E _ { l } ) = \frac { \operatorname { exp } ( - E _ { l } / k _ { B } T ) } { \sum _ { l } \operatorname { exp } ( - E _ { l } / k _ { B } T ) }.$ ; confidence 0.499
177. 
; $\bf C A$ ; confidence 1.000
178. 
; $x _ { i } \in \cal X$ ; confidence 1.000
179. 
; $x _ { j } ^ { \prime } = \sum _ { i , k } c _ { i k } f _ { i } f _ { k }$ ; confidence 0.499
180. 
; $X : = U \Lambda V,$ ; confidence 1.000
181. 
; $k ( 0 ) = I$ ; confidence 1.000
182. 
; $G = \operatorname{SL} ( 2 , {\bf C} ) \rtimes {\bf R} ^ { 4 }$ ; confidence 1.000
183. 
; $a \neq b \in {\bf C} ^ { n }$ ; confidence 1.000
184. 
; $\operatorname{ Mp } ( n )$ ; confidence 1.000
185. 
; $C_{abcd}$ ; confidence 1.000
186. 
; $\sum _ { n \leq x } G _ { K } ( n ) = A _ { K } x + O ( x ^ { \eta_K} ) \text { as } x \rightarrow \infty,$ ; confidence 1.000
187. 
; $q _ { m } \in L _ { 1,1 }$ ; confidence 0.498
188. 
; $\operatorname{GL} _ { n } ( {\bf Z} A )$ ; confidence 1.000
189. 
; $M : \sigma$ ; confidence 0.498
190. 
; $A _ { i } : = M _ { z _ { i } }$ ; confidence 0.498
191. 
; $\overline { T G }$ ; confidence 0.498
192. 
; $f \in L ^ { 1 } ( {\bf R} ^ { 2 n } )$ ; confidence 1.000
193. 
; $K _ { Z } \in H$ ; confidence 0.498
194. 
; $E ( \Gamma , \Delta ) \vdash _ {\cal D } \epsilon _ { i } ( \varphi , \psi )$ ; confidence 1.000
195. 
; $O _ { s + 2,2} (\bf R )$ ; confidence 1.000
196. 
; $I _ { \epsilon } ( X )$ ; confidence 0.498
197. 
; $\chi _ { K I } : K _ { 0 } ( \operatorname { prin } K I ) \rightarrow \bf Z$ ; confidence 1.000
198. 
; $\mathsf{P} _ { K _ { + } } ( v , z ) - \mathsf{P} _ { K _ { - } } ( v , z ) \equiv \operatorname { lk } ( K _ { 0 } ) \operatorname { mod } ( v ^ { 2 } - 1 , z ),$ ; confidence 1.000
199. 
; $[ P , . ] _ { A }$ ; confidence 0.497
200. 
; $P = \cap _ { i \in I } P _ { i }$ ; confidence 0.497
201. 
; $| X | ^ { r }$ ; confidence 1.000
202. 
; $\left. \begin{cases} { U _ { 0 } ( x ) = 0, } \\ { U _ { 1 } ( x ) = 1, } \\ { U _ { n } ( x ) = x U _ { n - 1 } ( x ) + U _ { n - 2 } ( x ) , \quad n = 2,3, \dots . } \end{cases} \right.$ ; confidence 1.000
203. 
; $[ .,. ] : \cal K \times K \rightarrow \bf C$ ; confidence 1.000
204. 
; $\| F \| _ { \infty } = \operatorname { esssup } _ { \omega } | F ( i \omega ) |.$ ; confidence 0.497
205. 
; $\operatorname { lim } _ { N \rightarrow \infty } \| f - f _ { N } \| _ { \cal A ^ { * } }= 0.$ ; confidence 1.000
206. 
; $( E _ { n } : n \in {\bf Z} ^ { + } )$ ; confidence 1.000
207. 
; ${\cal T} _ { A } \xi = \kappa _ { M } \circ T _ { A } \xi,$ ; confidence 1.000
208. 
; $f ( \overset{\rightharpoonup}{ D } ( A ) ) = ( - A ^ { 3 } ) ^ { - \operatorname { Tait } ( \overset{\rightharpoonup}{ D } ) } ( D )$ ; confidence 1.000
209. 
; $a _ { 1 } , \dots , a _ { r }$ ; confidence 0.497
210. 
; $\mathsf{E} ( Y ) = 2 \theta - 1$ ; confidence 1.000
211. 
; $u \in Q _ { \text{l} } ( R )$ ; confidence 0.497
212. 
; ${\cal P} = ( P _ { s s ^ { \prime } } ) = ( \langle S | {\cal P} | S ^ { \prime } \rangle )$ ; confidence 1.000
213. 
; $\psi _ { n } \in L ^ { 2 } ( - \infty , \infty )$ ; confidence 1.000
214. 
; ${\bf y} _ { 1 } , \dots , {\bf y} _ { p }$ ; confidence 1.000
215. 
; $L _ { p } ( 1 - n , \chi ) = L ( 1 - n , \chi \omega ^ { - n } ) \prod _ { {\frak p} | p } ( 1 - \chi \omega ^ { - n } ( {\frak p} ) N {\frak p} ^ { n - 1 } )$ ; confidence 1.000
216. 
; $\rho \in \mathfrak { h } ^ { * }$ ; confidence 0.496
217. 
; $E ( a ) = \operatorname { exp } \left( \int _ { 0 } ^ { \infty } t \hat{s} ( t ) \hat{s} ( - t ) d t \right) .$ ; confidence 1.000
218. 
; $\rho _ { d }$ ; confidence 0.496
219. 
; $S ^ { n - 1 }$ ; confidence 0.496
220. 
; $x \mu _ { n } ( x )$ ; confidence 1.000
221. 
; $\sum _ { i = 1 } ^ { k } \lambda _ { i } \geq \frac { n } { n + 2 } \frac { 4 \pi ^ { 2 } k ^ { 1 + 2 / n } } { ( C _ { n } | \Omega | ) ^ { 2 / n } } k = 1,2 , \ldots ,$ ; confidence 0.496
222. 
; $\psi _ { x y } + u ( x , y ) \psi = 0$ ; confidence 1.000
223. 
; $a, b , x , y , z \in E$ ; confidence 1.000
224. 
; ${\cal M} _ { n } = \operatorname { det } M _ { n }$ ; confidence 1.000
225. 
; $\Phi : ( \otimes ) \otimes \rightarrow \otimes ( \otimes )$ ; confidence 1.000
226. 
; ${\cal H}_*$ ; confidence 1.000
227. 
; ${\cal Q}_2$ ; confidence 1.000
228. 
; $D ^ { \alpha } = D _ { 1 } ^ { \alpha _ { 1 } } \ldots D _ { N } ^ { \alpha _ { N } }$ ; confidence 0.496
229. 
; $r \equiv \operatorname { rank } M ( n )$ ; confidence 0.496
230. 
; $E$ ; confidence 1.000
231. 
; $p \in \hat{K}$ ; confidence 1.000
232. 
; $P _ { M } ( v ) \neq 0$ ; confidence 0.496
233. 
; $( \lambda x y . y x ) A B = B A$ ; confidence 1.000
234. 
; $F ( 2,2 n ) \subset \operatorname { PSL } _ { 2 } ( {\bf C} )$ ; confidence 1.000
235. 
; $\| X \| { * } \leq 1$ ; confidence 1.000
236. 
; $\operatorname { Th } \cal D$ ; confidence 1.000
237. 
; $\| t g ( t ) \| _ { 2 } \| \gamma \hat{g} ( \gamma ) \| _ { 2 } = \infty$ ; confidence 1.000
238. 
; $U ^ { ( n )_ t} = \sum _ { k = 0 } ^ { n } \frac { ( - 1 ) ^ { k } } { k ! ( n - k ) ! } S ^ { s + n - k } ( - t , x _ { 1 } , \dots , x _ { s + n - k} )$ ; confidence 1.000
239. 
; $( F ^ { n } , h : F \rightarrow F ) \rightarrow T ( h ),$ ; confidence 1.000
240. 
; $s _ { i } ( z )$ ; confidence 0.496
241. 
; $S ^ { n } \times S ^ { m }$ ; confidence 0.496
242. 
; $\{ t = t_j \} \cup K$ ; confidence 1.000
243. 
; $X \sim N _ { p , n } ( 0 , \Sigma \otimes I _ { n } )$ ; confidence 0.495
244. 
; $\operatorname{lim\,sup}_R S _ { R } ^ { ( n - 1 ) / 2 } f ( 0 ) = + \infty$ ; confidence 1.000
245. 
; ${\cal X} _ { t } \sim {\cal X}_{ - t }$ ; confidence 1.000
246. 
; $a _2$ ; confidence 1.000
247. 
; $\tilde{\omega}$ ; confidence 1.000
248. 
; $X ^ { 2 } = \sum _ { i = 1 } ^ { k } \frac { ( \nu _ { i } - n p _ { i } ) ^ { 2 } } { n p _ { i } } = \frac { 1 } { n } \sum \frac { \nu _ { i } ^ { 2 } } { p _ { i } } - n , \quad n = \nu _ { 1 } + \ldots + \nu _ { k },$ ; confidence 0.495
249. 
; $\varphi_j ( f )$ ; confidence 1.000
250. 
; $a _ { 1 } , \dots , a _ { t }$ ; confidence 0.495
251. 
; $f \in A _ { s } ^ { + }$ ; confidence 0.495
252. 
; $\operatorname{lbl} ( D )$ ; confidence 1.000
253. 
; $- ( \text {const} ) \int _ { {\bf R} ^ { 3 } } \rho ( x ) ^ { 4 / 3 } d x$ ; confidence 1.000
254. 
; $h \in \cal H$ ; confidence 1.000
255. 
; $( G m _ { i } ) \circ f = ( G f _ { i } ) \circ e$ ; confidence 0.495
256. 
; $K \subset D ^ { n }$ ; confidence 1.000
257. 
; $S _ { m } [ f ] = \sum _ { v = 1 } ^ { m } b _ { v , m } f ( y_{v , m} ),$ ; confidence 1.000
258. 
; $\overset{\rightharpoonup} { \Delta }$ ; confidence 1.000
259. 
; $\theta _ { n } ^ { * }$ ; confidence 0.495
260. 
; $M = \int ( \partial / \partial e ) \eta ( \overset{\rightharpoonup} { x } , e ) \overset{\rightharpoonup} { x } \overset{\rightharpoonup} {x } ^ { t } d H _ { \overset{\rightharpoonup} { \theta } } ( \overset{\rightharpoonup} { x } , y )$ ; confidence 1.000
261. 
; $\frac { d \operatorname { ln } g ( L ; m , s ) } { d m } \frac { d \operatorname { ln } g ( R ; m , s ) } { d s }=$ ; confidence 1.000
262. 
; $H ^ { N - 1 - k } ( S ^ { n } \backslash X )$ ; confidence 1.000
263. 
; $i = 0 , \ldots , n - 1$ ; confidence 0.495
264. 
; $\int _ { \partial D } \operatorname { exp } \left( \varepsilon | \varphi ( e ^ { i \vartheta } ) - \varphi _ { I } | \right) d \vartheta$ ; confidence 0.495
265. 
; $s _ { A } : A \times L A \rightarrow L A$ ; confidence 1.000
266. 
; $( X _ { n } ) _ { n \geq 0}$ ; confidence 1.000
267. 
; $\varphi ( q )$ ; confidence 0.494
268. 
; $X = {\bf P} ^ { d }$ ; confidence 1.000
269. 
; $u ( x , k ) = e ^ { i \delta } \operatorname { sin } ( k x + \delta ) + o ( 1 ) , \quad \text { as } x \rightarrow \infty.$ ; confidence 0.494
270. 
; $\operatorname{Re} \lambda _ { i } < 0$ ; confidence 1.000
271. 
; $\Omega \subset {\bf C} ^ { n }$ ; confidence 1.000
272. 
; ${\cal F} _ { k }$ ; confidence 1.000
273. 
; $l \neq p$ ; confidence 1.000
274. 
; $\{ e _ { i } : - 1 \leq i \leq p ^ { m } - 2 \}$ ; confidence 0.494
275. 
; $\tilde{I} ( \nu ) = \operatorname { lim } _ { j \rightarrow \infty } I ( u _ { j } )$ ; confidence 1.000
276. 
; $V ^ { 1 } , V ^ { 2 } , \dots,$ ; confidence 0.494
277. 
; $V _ { f } = \{ f ( a ) : a \in {\bf F} _ { q } \}$ ; confidence 1.000
278. 
; $\operatorname{coh} \bf X$ ; confidence 1.000
279. 
; $\frac { \mu _ { n } ( x ) } { \mu _ { n } } \stackrel { \mathsf{P} } { \rightarrow } \alpha ( x ) = - \int _ { 0 } ^ { \infty } \frac { \lambda ^ { x } e ^ { - \lambda } } { x ! } R ( d \lambda )$ ; confidence 0.493
280. 
; $x = 1 , \dots , f_{( 1 , n )}$ ; confidence 1.000
281. 
; $r_j > 0$ ; confidence 1.000
282. 
; $\sigma _ { \text{T} } ( A , {\cal X} ) : = \{ \lambda \in {\bf C} ^ { n } : A - \lambda \text { is singular } \}.$ ; confidence 1.000
283. 
; $\pi _ { v , p } ( d \theta ) \mathsf{P} ( \theta , \mu ) ( d x )$ ; confidence 1.000
284. 
; $P ( t ) = \prod _ { m = 1 } ^ { n } ( t - t _ { m } ) ^ { r _ { m } }$ ; confidence 0.493
285. 
; ${\bf R} ^ { n } \backslash K _ { 2 }$ ; confidence 1.000
286. 
; $A X \sim \operatorname { RS } _ { q , n } ( \psi )$ ; confidence 0.493
287. 
; $\Sigma n _ { j } = n$ ; confidence 0.493
288. 
; $M ( {\cal E} ) = \dot { X }$ ; confidence 1.000
289. 
; $A _ { 0 } , \ldots , A _ { n }$ ; confidence 1.000
290. 
; $\in \mathsf{A} ^ { 2 } {\cal E} \bigotimes \mathsf{A} ^ { 2 } {\cal E};$ ; confidence 1.000
291. 
; $x \otimes y \rightarrow x . y$ ; confidence 0.493
292. 
; $\lambda x x \equiv \lambda x x \not \equiv \lambda x y$ ; confidence 0.493
293. 
; $i = 0 , \ldots , N$ ; confidence 0.492
294. 
; $l _ { i } = \delta _ { i } ^ { * } G _ { i } \Theta _ { i } \left( \begin{array} { c } { 1 } \\ { 0 } \end{array} \right) , d _ { i } = | \delta _ { i } | ^ { 2 }.$ ; confidence 0.492
295. 
; $a _ { 2 } = 1 , \dots , a _ { k - 1 } = k - 2$ ; confidence 1.000
296. 
; $M [ z ^ { n } ] = c _ { n } , n = 0 , \pm 1 , \pm 2 , \dots,$ ; confidence 0.492
297. 
; $G \times ^ { R } V$ ; confidence 0.492
298. 
; $P = \{ ( z _ { 1 } , \dots , z _ { n } ) : | z _ { j } - a _ { j } | < r _ { j } , j = 1 , \dots , n \}$ ; confidence 0.492
299. 
; $( g, f ( z ) )$ ; confidence 1.000
300. 
; $f _{ t _ { 1 } \ldots t _ { \rho } ( f )} \in T$ ; confidence 1.000
Maximilian Janisch/latexlist/latex/NoNroff/58. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/NoNroff/58&oldid=45628