Difference between revisions of "User:Maximilian Janisch/latexlist/latex/NoNroff/56"
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== List == | == List == | ||
− | 1. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j12002098.png ; $\leq 2 \mathsf{E} [ X _ { 0 } ] + 2 \mathsf{E} \left[ X _ { \infty } \operatorname { log } + \frac { X _ { \infty } } { \mathsf{E} [ X _ { 0 } ] } \right].$ ; confidence 0.541 | + | 1. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j12002098.png ; $\leq 2 \mathsf{E} [ X _ { 0 } ] + 2 \mathsf{E} \left[ X _ { \infty } \operatorname { log } ^{+} \frac { X _ { \infty } } { \mathsf{E} [ X _ { 0 } ] } \right].$ ; confidence 0.541 |
− | 2. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120310/b12031094.png ; $S _ { R } ^ { \delta } f ( x ) = \sum _ { \lambda _ { k } \leq R } \left( 1 - \frac { \lambda _ { k } } { R } \right) ^ { \delta } ( f , \phi _ { k } ) \phi _ { k } ( x ).$ ; confidence 0.541 | + | 2. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120310/b12031094.png ; $S _ { R } ^ { \delta }\, f ( x ) = \sum _ { \lambda _ { k } \leq R } \left( 1 - \frac { \lambda _ { k } } { R } \right) ^ { \delta } ( f , \phi _ { k } ) \phi _ { k } ( x ).$ ; confidence 0.541 |
3. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130200/a13020011.png ; $\langle x y \langle u v w \rangle \rangle =$ ; confidence 0.541 | 3. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130200/a13020011.png ; $\langle x y \langle u v w \rangle \rangle =$ ; confidence 0.541 | ||
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7. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o130060113.png ; $\mathfrak{E} ( \lambda )$ ; confidence 0.541 | 7. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o130060113.png ; $\mathfrak{E} ( \lambda )$ ; confidence 0.541 | ||
− | 8. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130110/v13011029.png ; $= - \frac { i \Gamma } { 2 \pi } \operatorname { log } \left[ \operatorname { sin } \frac { \pi z } { l } \right] + \text{const}$ ; confidence 0.541 | + | 8. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130110/v13011029.png ; $= - \frac { i \Gamma } { 2 \pi } \operatorname { log } \left[ \operatorname { sin } \frac { \pi z } { l } \right] + \text{const}.$ ; confidence 0.541 |
9. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120010/c120010174.png ; $f \mapsto \sum _ { k = 1 } ^ { n } a _ { k } \frac { \partial f } { \partial z _ { k } }.$ ; confidence 0.541 | 9. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120010/c120010174.png ; $f \mapsto \sum _ { k = 1 } ^ { n } a _ { k } \frac { \partial f } { \partial z _ { k } }.$ ; confidence 0.541 | ||
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14. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006013.png ; $x \in \partial \Omega$ ; confidence 0.540 | 14. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006013.png ; $x \in \partial \Omega$ ; confidence 0.540 | ||
− | 15. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011530/a0115305.png ; $f ( x _ { 1 } , \ldots , x _ { | + | 15. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011530/a0115305.png ; $f ( x _ { 1 } , \ldots , x _ { n } )$ ; confidence 0.540 |
16. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120130/b12013075.png ; $\tilde{u}$ ; confidence 0.540 | 16. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120130/b12013075.png ; $\tilde{u}$ ; confidence 0.540 | ||
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31. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a13032047.png ; $\mathsf{E} ( Y _ { i } ^ { 2 } ) = \sigma ^ { 2 } < \infty$ ; confidence 0.539 | 31. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a13032047.png ; $\mathsf{E} ( Y _ { i } ^ { 2 } ) = \sigma ^ { 2 } < \infty$ ; confidence 0.539 | ||
− | 32. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520367.png ; $X \equiv ( x _ { 1 } , \dots , x _ { | + | 32. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520367.png ; $X \equiv ( x _ { 1 } , \dots , x _ { n } ) = 0$ ; confidence 0.539 |
33. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e13003060.png ; $\operatorname{Eis}( \omega , s ) = \sum _ { \gamma \in \Gamma / \Gamma _ { P } } \gamma \omega _ { s }$ ; confidence 0.539 | 33. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e13003060.png ; $\operatorname{Eis}( \omega , s ) = \sum _ { \gamma \in \Gamma / \Gamma _ { P } } \gamma \omega _ { s }$ ; confidence 0.539 | ||
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35. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075480/p07548025.png ; $a , b \in D$ ; confidence 0.539 | 35. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075480/p07548025.png ; $a , b \in D$ ; confidence 0.539 | ||
− | 36. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f120230114.png ; $= \omega \bigwedge [ D _ { 1 } , D _ { 2 } ] - ( - 1 ) ^ { ( q + k _ { 1 } ) k _ { 2 } } D _ { 2 } ( \omega ) \bigwedge D _ { 1 } , i ( \omega \bigwedge L ) = \omega \bigwedge i ( L ),$ ; confidence 0.539 | + | 36. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f120230114.png ; $= \omega \bigwedge [ D _ { 1 } , D _ { 2 } ] - ( - 1 ) ^ { ( q + k _ { 1 } ) k _ { 2 } } D _ { 2 } ( \omega ) \bigwedge D _ { 1 } ,\, i ( \omega \bigwedge L ) = \omega \bigwedge i ( L ),$ ; confidence 0.539 |
37. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130090/b1300906.png ; $D ( u ) = \int _ { \mathbf{R} } u d x $ ; confidence 0.539 | 37. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130090/b1300906.png ; $D ( u ) = \int _ { \mathbf{R} } u d x $ ; confidence 0.539 | ||
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50. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014120/a01412033.png ; $S ^ { \prime }$ ; confidence 0.538 | 50. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014120/a01412033.png ; $S ^ { \prime }$ ; confidence 0.538 | ||
− | 51. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130020/b13002059.png ; $U _ { x } ( y ) = 2 x \circ ( x \circ y ) - x ^ { 2 } \circ y$ ; confidence 0.538 | + | 51. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130020/b13002059.png ; $U _ { x } ( y ) := 2 x \circ ( x \circ y ) - x ^ { 2 } \circ y$ ; confidence 0.538 |
52. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120210/w12021045.png ; $s _ { 1 } = \ldots = s _ { k } = s$ ; confidence 0.538 | 52. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120210/w12021045.png ; $s _ { 1 } = \ldots = s _ { k } = s$ ; confidence 0.538 | ||
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63. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120130/b12013036.png ; $\mathbf{C} \backslash G$ ; confidence 0.537 | 63. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120130/b12013036.png ; $\mathbf{C} \backslash G$ ; confidence 0.537 | ||
− | 64. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240482.png ; $n = \sum | + | 64. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240482.png ; $n = \sum n_{i}$ ; confidence 0.537 |
65. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120100/b12010038.png ; $S ^ { n } ( - t , x _ { 1 } , \dots , x _ { n } ) F _ { n } ( x _ { 1 } , \dots , x _ { n } ) =$ ; confidence 0.537 | 65. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120100/b12010038.png ; $S ^ { n } ( - t , x _ { 1 } , \dots , x _ { n } ) F _ { n } ( x _ { 1 } , \dots , x _ { n } ) =$ ; confidence 0.537 | ||
− | 66. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120530/b12053025.png ; $( h _ { | + | 66. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120530/b12053025.png ; $( h _ { n } ) _ { n = 1 } ^ { \infty } 1$ ; confidence 0.537 |
− | 67. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120200/w1202006.png ; $r \in H$ ; confidence 0.537 | + | 67. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120200/w1202006.png ; $r \in \mathcal{H}$ ; confidence 0.537 |
68. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130050/h13005052.png ; $\phi _ { x x } = [ u ( x ) - k ^ { 2 } \rho ( x ) ] \phi$ ; confidence 0.537 | 68. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130050/h13005052.png ; $\phi _ { x x } = [ u ( x ) - k ^ { 2 } \rho ( x ) ] \phi$ ; confidence 0.537 | ||
− | 69. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006057.png ; $K = F _ { q } ( x )$ ; confidence 0.537 | + | 69. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006057.png ; $K = \mathbf{F} _ { q } ( x )$ ; confidence 0.537 |
− | 70. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520148.png ; $\ | + | 70. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520148.png ; $\mathcal{E} _ { A , K [ \lambda ] } = \{ e _ { i } ^ { n _ { ij } } \}$ ; confidence 0.537 |
71. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120260/a120260116.png ; $y _ { i } \cong \hat { y } _ { i }$ ; confidence 0.537 | 71. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120260/a120260116.png ; $y _ { i } \cong \hat { y } _ { i }$ ; confidence 0.537 | ||
− | 72. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014071.png ; $h _ { i } \in Gl ( v _ { i } , K )$ ; confidence 0.537 | + | 72. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014071.png ; $h _ { i } \in \operatorname{Gl} ( v _ { i } , K )$ ; confidence 0.537 |
73. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n06663086.png ; $E _ { v _ { 1 } , \ldots , v _ { n } } ( f ) _ { p }$ ; confidence 0.537 | 73. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n06663086.png ; $E _ { v _ { 1 } , \ldots , v _ { n } } ( f ) _ { p }$ ; confidence 0.537 | ||
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74. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130020/h13002014.png ; $i \in \{ 1 , \dots , n \} \backslash I$ ; confidence 0.537 | 74. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130020/h13002014.png ; $i \in \{ 1 , \dots , n \} \backslash I$ ; confidence 0.537 | ||
− | 75. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290106.png ; $R ( I ) \rightarrow | + | 75. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290106.png ; $\operatorname{Proj} R ( I ) \rightarrow \operatorname{Spec} A$ ; confidence 0.537 |
− | 76. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120240/d12024052.png ; $U ( h )$ ; confidence 0.537 | + | 76. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120240/d12024052.png ; $U ( \mathfrak{h} )$ ; confidence 0.537 |
− | 77. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120070/t120070138.png ; $ | + | 77. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120070/t120070138.png ; $L_{ -i}$ ; confidence 0.537 |
− | 78. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130280/b13028017.png ; $x _ { | + | 78. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130280/b13028017.png ; $x _ { n } \in G ( n )_{n}$ ; confidence 0.537 |
− | 79. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a11030046.png ; $\ | + | 79. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a11030046.png ; $\theta_{ Y }\circ \phi$ ; confidence 0.536 |
− | 80. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130020/k13002092.png ; $\beta = 4 C _ { X , Y } ( \frac { 1 } { 2 } , \frac { 1 } { 2 } ) - 1$ ; confidence 0.536 | + | 80. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130020/k13002092.png ; $\beta = 4 C _ { X , Y } \left( \frac { 1 } { 2 } , \frac { 1 } { 2 } \right) - 1,$ ; confidence 0.536 |
− | 81. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120020/k1200205.png ; $ | + | 81. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120020/k1200205.png ; $\operatorname{sp} ( m )$ ; confidence 0.536 |
82. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n06752035.png ; $d _ { i } \neq 0$ ; confidence 0.536 | 82. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n06752035.png ; $d _ { i } \neq 0$ ; confidence 0.536 | ||
− | 83. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120210/t12021011.png ; $t ( | + | 83. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120210/t12021011.png ; $t ( M )$ ; confidence 0.536 |
− | 84. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023360/c02336052.png ; $ | + | 84. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023360/c02336052.png ; $U _ { t }$ ; confidence 0.536 |
− | 85. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051880/i0518803.png ; $ | + | 85. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051880/i0518803.png ; $\subseteq$ ; confidence 0.536 |
86. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130070/h13007026.png ; $k ( t ) [ X _ { 1 } , \dots , X _ { n } ]$ ; confidence 0.536 | 86. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130070/h13007026.png ; $k ( t ) [ X _ { 1 } , \dots , X _ { n } ]$ ; confidence 0.536 | ||
− | 87. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s120320122.png ; $\operatorname { ev } _ { | + | 87. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s120320122.png ; $\operatorname { ev } _ { x } ( f \otimes 1 ) = f ( x )$ ; confidence 0.536 |
88. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020142.png ; $\operatorname { deg } F$ ; confidence 0.536 | 88. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020142.png ; $\operatorname { deg } F$ ; confidence 0.536 | ||
− | 89. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110010/l1100104.png ; $\{ A ; P , + , . \}$ ; confidence 0.536 | + | 89. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110010/l1100104.png ; $\{ A ; \mathbf{P} , + , . \}$ ; confidence 0.536 |
− | 90. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120050/w12005051.png ; $A ^ { m } = R ^ { m } \oplus N ^ { m | + | 90. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120050/w12005051.png ; $A ^ { m } = \mathbf{R} ^ { m } \oplus N ^ { m }$ ; confidence 0.536 |
− | 91. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120130/b12013067.png ; $ | + | 91. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120130/b12013067.png ; $B_0$ ; confidence 0.536 |
92. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022320/c0223204.png ; $G ^ { * }$ ; confidence 0.536 | 92. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022320/c0223204.png ; $G ^ { * }$ ; confidence 0.536 | ||
− | 93. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120020/c12002047.png ; $\int _ { 0 } ^ { \infty } ( V _ { g } f ) ( \theta , t ) \frac { d t } { t } = c _ { g } f$ ; confidence 0.536 | + | 93. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120020/c12002047.png ; $\int _ { 0 } ^ { \infty } ( V _ { g } f ) ( \theta , t ) \frac { d t } { t } = c _ { g } \,f,$ ; confidence 0.536 |
− | 94. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d120230184.png ; $D$ ; confidence 0.536 | + | 94. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d120230184.png ; $\hat{D}$ ; confidence 0.536 |
95. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340104.png ; $v : S ^ { 2 } \rightarrow M$ ; confidence 0.536 | 95. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340104.png ; $v : S ^ { 2 } \rightarrow M$ ; confidence 0.536 | ||
− | 96. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120050/h12005038.png ; $ | + | 96. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120050/h12005038.png ; $\beta _ { 4 }$ ; confidence 0.536 |
− | 97. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130270/a13027027.png ; $x _ { | + | 97. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130270/a13027027.png ; $x _ { n }$ ; confidence 0.536 |
− | 98. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082320/r08232040.png ; $\{ x \in R ^ { | + | 98. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082320/r08232040.png ; $\{ x \in \mathbf{R} ^ { n } : | x - x _ { 0 } | \leq R \}$ ; confidence 0.536 |
− | 99. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t130050184.png ; $( | + | 99. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t130050184.png ; $( L_{A} , R _ { B } )$ ; confidence 0.536 |
100. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130260/b130260105.png ; $d [ f , S ^ { n } , S ^ { n } ] = \operatorname { deg } _ { B } [ \tilde { f } , B ( 1 ) , 0 ]$ ; confidence 0.536 | 100. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130260/b130260105.png ; $d [ f , S ^ { n } , S ^ { n } ] = \operatorname { deg } _ { B } [ \tilde { f } , B ( 1 ) , 0 ]$ ; confidence 0.536 | ||
− | 101. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060122.png ; $G _ { \lambda }$ ; confidence 0.535 | + | 101. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060122.png ; $\mathcal{G} _ { \lambda }$ ; confidence 0.535 |
102. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130010/i13001080.png ; $d _ { ( 3,1 ^ { n - 3 } ) } ( L ( T ) )$ ; confidence 0.535 | 102. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130010/i13001080.png ; $d _ { ( 3,1 ^ { n - 3 } ) } ( L ( T ) )$ ; confidence 0.535 | ||
− | 103. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120190/w12019010.png ; $R _ { p } ^ { 3 N } \times R _ { | + | 103. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120190/w12019010.png ; $\mathbf{R} _ { p } ^ { 3 N } \times \mathbf{R} _ { x } ^ { 3 N }$ ; confidence 0.535 |
− | 104. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k05584085.png ; $x \in L$ ; confidence 0.535 | + | 104. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k05584085.png ; $x \in \mathcal{L}$ ; confidence 0.535 |
105. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046020/h04602013.png ; $x \mapsto y$ ; confidence 0.535 | 105. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046020/h04602013.png ; $x \mapsto y$ ; confidence 0.535 | ||
Line 212: | Line 212: | ||
106. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005027.png ; $f \in C ^ { 1 } ( [ 0 , T ] ; X )$ ; confidence 0.535 | 106. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005027.png ; $f \in C ^ { 1 } ( [ 0 , T ] ; X )$ ; confidence 0.535 | ||
− | 107. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008064.png ; $= \left( \begin{array} { c c } { \frac { d A ( t ) ^ { 1 / 2 } } { d t } A ( t ) ^ { - 1 / 2 } } & { i A ( t ) ^ { 1 / 2 } } \\ { i A ( t ) ^ { 1 / 2 } } & { 0 } \end{array} \right) \left( \begin{array} { c } { v _ { 0 } } \\ { v _ { 1 } } \end{array} \right) + \left( \begin{array} { c } { 0 } \\ { f ( t ) } \end{array} \right) , t \in [ 0 , T ]$ ; confidence 0.535 | + | 107. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008064.png ; $= \left( \begin{array} { c c } { \frac { d A ( t ) ^ { 1 / 2 } } { d t } A ( t ) ^ { - 1 / 2 } } & { i A ( t ) ^ { 1 / 2 } } \\ { i A ( t ) ^ { 1 / 2 } } & { 0 } \end{array} \right) \left( \begin{array} { c } { v _ { 0 } } \\ { v _ { 1 } } \end{array} \right) + \left( \begin{array} { c } { 0 } \\ { f ( t ) } \end{array} \right) ,\, t \in [ 0 , T ],$ ; confidence 0.535 |
− | 108. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b130300113.png ; $ | + | 108. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b130300113.png ; $A_{i}^{n}$ ; confidence 0.535 |
− | 109. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006089.png ; $m B$ ; confidence 0.535 | + | 109. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006089.png ; $m _{B}$ ; confidence 0.535 |
− | 110. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h12012040.png ; $t = d _ { Y } ^ { \prime } - d | + | 110. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h12012040.png ; $t = d _ { Y } ^ { \prime } - d _ { Y }$ ; confidence 0.535 |
111. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010700/a01070027.png ; $b \in B$ ; confidence 0.535 | 111. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010700/a01070027.png ; $b \in B$ ; confidence 0.535 | ||
− | 112. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130140/p13014035.png ; $| f ^ { | + | 112. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130140/p13014035.png ; $| f ^ { C_ \rho } ( x ) - f ( x ) | = O ( \rho )\, \text { as } \rho \rightarrow 0 ,\, x \in U,$ ; confidence 0.535 |
113. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130060/e1300601.png ; $d ( f , g ) = \operatorname { sup } \{ d ( f c , g c ) : c \in C \}$ ; confidence 0.534 | 113. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130060/e1300601.png ; $d ( f , g ) = \operatorname { sup } \{ d ( f c , g c ) : c \in C \}$ ; confidence 0.534 | ||
− | 114. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120110/k1201101.png ; $( u _ { t } + 6 u u _ { | + | 114. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120110/k1201101.png ; $( u _ { t } + 6 u u _ { x } + u _ { xxx } ) _ { x } + 3 \sigma ^ { 2 } u _ { yy } = 0,$ ; confidence 0.534 |
115. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c120170119.png ; $M \geq 0$ ; confidence 0.534 | 115. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c120170119.png ; $M \geq 0$ ; confidence 0.534 | ||
− | 116. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010670/a0106709.png ; $\ | + | 116. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010670/a0106709.png ; $\tilde { \eta }$ ; confidence 0.534 |
− | 117. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t12020053.png ; $h ( m , k ) = \sum _ { j = 1 } ^ { n } b _ { j } z _ { j } ^ { k } w _ { j }$ ; confidence 0.534 | + | 117. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t12020053.png ; $h ( m , k ) = \sum _ { j = 1 } ^ { n } b _ { j } z _ { j } ^ { k } w _ { j }^ { m }$ ; confidence 0.534 |
− | 118. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120010/b12001016.png ; $i = 1 , \dots , 4 , m , n = 1,2$ ; confidence 0.534 | + | 118. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120010/b12001016.png ; $i = 1 , \dots , 4 ,\: m , n = 1,2,$ ; confidence 0.534 |
− | 119. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130010/k13001042.png ; $\langle D _ { + } \ | + | 119. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130010/k13001042.png ; $\langle D _ { + } \rangle + \langle D _ { - } \rangle = ( A + A ^ { - 1 } ) ( \langle D _ { 0 } \rangle + \langle D _ { \infty } \rangle ),$ ; confidence 0.534 |
120. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130080/d13008053.png ; $c \in \Delta$ ; confidence 0.534 | 120. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130080/d13008053.png ; $c \in \Delta$ ; confidence 0.534 | ||
− | 121. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020104.png ; $\ | + | 121. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020104.png ; $\hat { c } _ { k } ^ { 1 } = c ^ { T } x ^ { ( k ) } + ( A _ { 1 } x ^ { ( k ) } - b _ { 1 } ) ^ { T } \overline { u } _ { 1 } - \overline { q },$ ; confidence 0.534 |
− | 122. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130230/a1302307.png ; $\operatorname { lim } _ { n \rightarrow \infty } ( P Q ) ^ { n } f = P _ { U | + | 122. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130230/a1302307.png ; $\operatorname { lim } _ { n \rightarrow \infty } ( P Q ) ^ { n } f = P _ { U \bigcap V }\, f \text { for all } f \in H .$ ; confidence 0.534 |
− | 123. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c12021041.png ; $\{ P _ { | + | 123. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c12021041.png ; $\{ P _ { n } ^ { \prime } \}$ ; confidence 0.534 |
− | 124. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120240/f12024066.png ; $t \in [ t 0 , \infty )$ ; confidence 0.534 | + | 124. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120240/f12024066.png ; $t \in [ t _{0} , \infty )$ ; confidence 0.534 |
− | 125. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130080/l13008037.png ; $\operatorname { dim } | + | 125. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130080/l13008037.png ; $\operatorname { dim } I = 0$ ; confidence 0.534 |
− | 126. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007053.png ; $\omega ( | + | 126. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007053.png ; $\omega ( a )$ ; confidence 0.534 |
127. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012460/a012460144.png ; $x _ { j }$ ; confidence 0.534 | 127. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012460/a012460144.png ; $x _ { j }$ ; confidence 0.534 | ||
− | 128. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120030/k1200309.png ; $c _ { 1 } ( M ) _ { R } = 0$ ; confidence 0.534 | + | 128. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120030/k1200309.png ; $c _ { 1 } ( M ) _ { \mathbf{R} } = 0$ ; confidence 0.534 |
− | 129. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b12015050.png ; $a _ { 1 } d _ { 1 } ^ { * } + | + | 129. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b12015050.png ; $a _ { 1 } d _ { 1 } ^ { * } + a _ { 2 } d _ { 2 } ^ { * }$ ; confidence 0.534 |
130. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025830/c02583068.png ; $i A$ ; confidence 0.534 | 130. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025830/c02583068.png ; $i A$ ; confidence 0.534 | ||
− | 131. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120100/l120100145.png ; $\| \rho \| _ { L ^ { p } ( R ^ { n } ) } \leq A _ { | + | 131. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120100/l120100145.png ; $\| \rho \| _ { L ^ { p } ( \mathbf{R} ^ { n } ) } \leq A _ { n } N ^ { 1 / p }$ ; confidence 0.534 |
− | 132. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e13003040.png ; $\Gamma \backslash X$ ; confidence 0.534 | + | 132. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e13003040.png ; $\Gamma \backslash \overline{X}$ ; confidence 0.534 |
133. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120070/e12007090.png ; $q _ { 1 } , \dots , q _ { t }$ ; confidence 0.534 | 133. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120070/e12007090.png ; $q _ { 1 } , \dots , q _ { t }$ ; confidence 0.534 | ||
− | 134. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520433.png ; $\lambda _ { j } \neq 0$ ; confidence 0.534 | + | 134. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520433.png ; $\operatorname{Re} \lambda _ { j } \neq 0$ ; confidence 0.534 |
− | 135. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120270/a120270114.png ; $O _ { N }$ ; confidence 0.534 | + | 135. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120270/a120270114.png ; $O _ { \text{N} }$ ; confidence 0.534 |
136. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020206.png ; $k \in P ^ { \prime }$ ; confidence 0.534 | 136. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020206.png ; $k \in P ^ { \prime }$ ; confidence 0.534 | ||
Line 276: | Line 276: | ||
138. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900182.png ; $\zeta \mapsto A ( \zeta )$ ; confidence 0.534 | 138. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900182.png ; $\zeta \mapsto A ( \zeta )$ ; confidence 0.534 | ||
− | 139. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120260/e12026052.png ; $P ( \theta , t , \nu ) ( d \omega ) = \frac { 1 } { L _ { \mu } ( \theta ) } \operatorname { exp } \ | + | 139. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120260/e12026052.png ; $\mathsf{P} ( \theta , t , \nu ) ( d \omega ) = \frac { 1 } { L _ { \mu } ( \theta ) } \operatorname { exp } \langle \theta , t ( \omega ) \rangle \nu ( d \omega ).$ ; confidence 0.534 |
− | 140. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130150/t13015037.png ; $f \in C _ { 0 } ( S )$ ; confidence 0.533 | + | 140. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130150/t13015037.png ; $f \in \mathcal{C} _ { 0 } ( S )$ ; confidence 0.533 |
− | 141. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b12043083.png ; $ | + | 141. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b12043083.png ; $\mathbf{sl} _ { 3 }$ ; confidence 0.533 |
142. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060040/l06004030.png ; $r _ { 1 } ^ { 2 } , \ldots , r _ { n } ^ { 2 }$ ; confidence 0.533 | 142. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060040/l06004030.png ; $r _ { 1 } ^ { 2 } , \ldots , r _ { n } ^ { 2 }$ ; confidence 0.533 | ||
Line 286: | Line 286: | ||
143. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032081.png ; $T = \left( \begin{array} { c c } { P } & { Q } \\ { R } & { S } \end{array} \right)$ ; confidence 0.533 | 143. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032081.png ; $T = \left( \begin{array} { c c } { P } & { Q } \\ { R } & { S } \end{array} \right)$ ; confidence 0.533 | ||
− | 144. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s13064073.png ; $G ( a ) = \operatorname { exp } ( s ( 0 ) )$ ; confidence 0.533 | + | 144. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s13064073.png ; $G ( a ) = \operatorname { exp } ( \hat{s} ( 0 ) )$ ; confidence 0.533 |
− | 145. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032015.png ; $ | + | 145. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032015.png ; $c_{i}$ ; confidence 0.533 |
− | 146. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006053.png ; $\mu ( N ) = - \frac { \partial E ^ { TF } ( N ) } { \partial N }$ ; confidence 0.533 | + | 146. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006053.png ; $\mu ( N ) = - \frac { \partial E ^ { \text{TF} } ( N ) } { \partial N }.$ ; confidence 0.533 |
147. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240285.png ; $\psi \in L$ ; confidence 0.533 | 147. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240285.png ; $\psi \in L$ ; confidence 0.533 | ||
− | 148. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120070/g12007021.png ; $2 | + | 148. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120070/g12007021.png ; $2 \mathbf{Z}$ ; confidence 0.533 |
149. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520328.png ; $\{ f _ { i } : i = 1,2 , \ldots \}$ ; confidence 0.533 | 149. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520328.png ; $\{ f _ { i } : i = 1,2 , \ldots \}$ ; confidence 0.533 | ||
− | 150. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006069.png ; $m ^ { \ | + | 150. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006069.png ; $m ^ { \downarrow Y } ( B ) = \sum _ { A : B = A ^ { \downarrow Y } } m ( A ).$ ; confidence 0.533 |
− | 151. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e1300301.png ; $G / Q$ ; confidence 0.533 | + | 151. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e1300301.png ; $G / \mathbf{Q}$ ; confidence 0.533 |
− | 152. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120200/a12020066.png ; $X _ { j } = \operatorname { ker } ( T - t _ { j } I ) ^ { r _ { j } } , \quad ( j = 1 , \ldots , n )$ ; confidence 0.533 | + | 152. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120200/a12020066.png ; $X _ { j } = \operatorname { ker } ( T - t _ { j } I ) ^ { r _ { j } } , \quad ( j = 1 , \ldots , n ).$ ; confidence 0.533 |
− | 153. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110266.png ; $ | + | 153. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110266.png ; $g_{l+ 1}$ ; confidence 0.533 |
154. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120260/s12026041.png ; $\Omega = ( 1,0 , \ldots )$ ; confidence 0.533 | 154. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120260/s12026041.png ; $\Omega = ( 1,0 , \ldots )$ ; confidence 0.533 | ||
− | 155. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050228.png ; $ | + | 155. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050228.png ; $G_{\mathcal{A}}$ ; confidence 0.533 |
− | 156. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130010/z13001032.png ; $x ( z ) = Z ( x ( n ) )$ ; confidence 0.533 | + | 156. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130010/z13001032.png ; $\tilde{x} ( z ) = Z ( x ( n ) )$ ; confidence 0.533 |
157. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120190/e120190121.png ; $S ( b , d ( b , x ) )$ ; confidence 0.533 | 157. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120190/e120190121.png ; $S ( b , d ( b , x ) )$ ; confidence 0.533 | ||
− | 158. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130090/m1300902.png ; $+ c ^ { 2 } ( \nabla - i \frac { q e } { \hbar } A ) ^ { 2 } + \frac { c ^ { 4 } m ^ { 2 } } { \hbar ^ { 2 } } ] \psi ( t , x )$ ; confidence 0.533 | + | 158. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130090/m1300902.png ; $\left.+ c ^ { 2 } \left( \nabla - i \frac { q e } { \hbar c } A \right) ^ { 2 } + \frac { c ^ { 4 } m ^ { 2 } } { \hbar ^ { 2 } } \right] \psi ( t , \mathbf{x} )$ ; confidence 0.533 |
− | 159. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130070/v13007021.png ; $\lambda | + | 159. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130070/v13007021.png ; $\lambda W$ ; confidence 0.533 |
160. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830163.png ; $( 0 , \ldots , 0 )$ ; confidence 0.533 | 160. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830163.png ; $( 0 , \ldots , 0 )$ ; confidence 0.533 | ||
− | 161. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130080/v13008026.png ; $\| f + VMOA \| _ { * } \leq C \operatorname { | + | 161. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130080/v13008026.png ; $\| f + \operatorname {VMOA} \| _ { * } \leq C \operatorname { lim sup } _ { \zeta \in T } \sqrt { \operatorname { area } ( K _ { \zeta } ) }.$ ; confidence 0.532 |
− | 162. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a11068027.png ; $ | + | 162. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a11068027.png ; $p_{ *}$ ; confidence 0.532 |
− | 163. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120080/w12008039.png ; $a , b \in R ^ { n }$ ; confidence 0.532 | + | 163. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120080/w12008039.png ; $a , b \in \mathbf{R} ^ { n }$ ; confidence 0.532 |
164. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120370/b12037029.png ; $h ( g _ { j _ { 1 } } , \dots , g _ { j _ { r } } )$ ; confidence 0.532 | 164. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120370/b12037029.png ; $h ( g _ { j _ { 1 } } , \dots , g _ { j _ { r } } )$ ; confidence 0.532 | ||
Line 330: | Line 330: | ||
165. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022100/c02210015.png ; $( X _ { 1 } , \ldots , X _ { n } )$ ; confidence 0.532 | 165. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022100/c02210015.png ; $( X _ { 1 } , \ldots , X _ { n } )$ ; confidence 0.532 | ||
− | 166. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230131.png ; $E ^ { k } = \{ [ \sigma ] _ { x } ^ { k } : x \in M , \sigma \in \Gamma _ { x } ( E ) \}$ ; confidence 0.532 | + | 166. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230131.png ; $E ^ { k } = \left\{ [ \sigma ] _ { x } ^ { k } : x \in M , \sigma \in \Gamma _ { x } ( E ) \right\}$ ; confidence 0.532 |
167. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z130110140.png ; $k = 0 , \dots , q$ ; confidence 0.532 | 167. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z130110140.png ; $k = 0 , \dots , q$ ; confidence 0.532 | ||
− | 168. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018015.png ; $\tau \in | + | 168. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018015.png ; $\tau \in \operatorname {Voc}_{\mathcal{L}}$ ; confidence 0.532 |
− | 169. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120110/m12011020.png ; $t ( h ) = T ( h ) \ | + | 169. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120110/m12011020.png ; $t ( h ) = T ( h ) \bigcup_{ \partial T ( h )} \partial F \times D ^ { 2 }$ ; confidence 0.532 |
170. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120070/l12007036.png ; $[ y _ { 1 } \ldots y _ { k } ]$ ; confidence 0.532 | 170. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120070/l12007036.png ; $[ y _ { 1 } \ldots y _ { k } ]$ ; confidence 0.532 | ||
− | 171. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110010/h1100101.png ; $M ( f ) = \operatorname { lim } _ { x \rightarrow \infty } \frac { 1 } { x } \cdot \sum _ { n | + | 171. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110010/h1100101.png ; $M ( f ) = \operatorname { lim } _ { x \rightarrow \infty } \frac { 1 } { x } \cdot \sum _ { n \leq x } f ( n ).$ ; confidence 0.532 |
− | 172. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130160/c130160109.png ; $w \ | + | 172. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130160/c130160109.png ; $w \notin A$ ; confidence 0.532 |
− | 173. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060160.png ; $S _ { F }$ ; confidence 0.532 | + | 173. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060160.png ; $\mathcal{S} _ { \text{F} }$ ; confidence 0.532 |
− | 174. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120280/s12028013.png ; $E ^ { n } ( X ) = [ \Sigma ^ { k } X , E _ { n + k } ] , \quad n \in Z$ ; confidence 0.532 | + | 174. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120280/s12028013.png ; $\mathbf{E} ^ { n } ( X ) = [ \Sigma ^ { k } X , E _ { n + k } ] , \quad n \in \mathbf{Z}.$ ; confidence 0.532 |
175. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120020/q12002023.png ; $1 \leq s \leq k$ ; confidence 0.532 | 175. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120020/q12002023.png ; $1 \leq s \leq k$ ; confidence 0.532 | ||
− | 176. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f13010053.png ; $\varphi \in L _ { C } ^ { p } ( G )$ ; confidence 0.532 | + | 176. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f13010053.png ; $\varphi \in L _ { \text{C} } ^ { p } ( G )$ ; confidence 0.532 |
177. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130010/e1300101.png ; $f , f _ { 1 } , \dots , f _ { m } \in R : = k [ x _ { 1 } , \dots , x _ { n } ]$ ; confidence 0.532 | 177. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130010/e1300101.png ; $f , f _ { 1 } , \dots , f _ { m } \in R : = k [ x _ { 1 } , \dots , x _ { n } ]$ ; confidence 0.532 | ||
Line 360: | Line 360: | ||
180. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015330/b01533046.png ; $p _ { 1 } , \dots , p _ { m }$ ; confidence 0.531 | 180. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015330/b01533046.png ; $p _ { 1 } , \dots , p _ { m }$ ; confidence 0.531 | ||
− | 181. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062000/m06200011.png ; $( Z _ { n } ) _ { n \in Z }$ ; confidence 0.531 | + | 181. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062000/m06200011.png ; $( Z _ { n } ) _ { n \in \mathbf{Z} }$ ; confidence 0.531 |
− | 182. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130080/l13008015.png ; $\operatorname { log } \operatorname { max } \{ | P _ { i } ( \omega ) | \} \geq - d ^ { \mu } ( c _ { 1 } d + c _ { 2 } h ) + c _ { 3 } d ^ { \nu } \operatorname { log } \frac { \rho } { | \omega | }$ ; confidence 0.531 | + | 182. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130080/l13008015.png ; $\operatorname { log } \operatorname { max } \{ | P _ { i } ( \omega ) | \} \geq - d ^ { \mu } ( c _ { 1 } d + c _ { 2 } h ) + c _ { 3 } d ^ { \nu } \operatorname { log } \frac { \rho } { | \omega | },$ ; confidence 0.531 |
− | 183. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120150/e1201508.png ; $\frac { d ^ { 2 } x ^ { i } } { d t ^ { 2 } } + g ^ { i } ( x , \dot { x } , t ) = 0 , \quad i = 1 , \dots , n$ ; confidence 0.531 | + | 183. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120150/e1201508.png ; $\frac { d ^ { 2 } x ^ { i } } { d t ^ { 2 } } + g ^ { i } ( x , \dot { x } , t ) = 0 , \quad i = 1 , \dots , n,$ ; confidence 0.531 |
− | 184. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a1201205.png ; $A = ( a _ { | + | 184. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a1201205.png ; $A = ( a _ { ij} )$ ; confidence 0.531 |
− | 185. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120150/s120150109.png ; $\ | + | 185. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120150/s120150109.png ; $\tilde { U } \rightarrow G ( x )$ ; confidence 0.531 |
− | 186. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t130050161.png ; $\sigma _ { | + | 186. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t130050161.png ; $\sigma _ { \text{l}} ( A ) = \sigma _ { \text{le} } ( A ) = \sigma _ { \text{re} } ( A ) = \sigma _ { \text{Te} } ( A ) = S ^ { 3 }$ ; confidence 0.531 |
187. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t12005011.png ; $i \in \{ 0 , \dots , n \}$ ; confidence 0.531 | 187. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t12005011.png ; $i \in \{ 0 , \dots , n \}$ ; confidence 0.531 | ||
Line 376: | Line 376: | ||
188. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120010/h12001035.png ; $X _ { ( v , w ) } ^ { ( 1 ) } = \operatorname { Hom } ( T _ { v } V \rightarrow T _ { w } W )$ ; confidence 0.531 | 188. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120010/h12001035.png ; $X _ { ( v , w ) } ^ { ( 1 ) } = \operatorname { Hom } ( T _ { v } V \rightarrow T _ { w } W )$ ; confidence 0.531 | ||
− | 189. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300105.png ; $ | + | 189. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300105.png ; $A$ ; confidence 0.531 |
− | 190. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130050/q13005048.png ; $h _ { 1 } , h _ { 2 } \in QS ( R )$ ; confidence 0.531 | + | 190. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130050/q13005048.png ; $h _ { 1 } , h _ { 2 } \in \operatorname {QS} ( \mathbf{R} )$ ; confidence 0.531 |
− | 191. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120020/t12002016.png ; $T = \ | + | 191. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120020/t12002016.png ; $\mathcal{T} = \bigcap _ { N \geq 0 } \sigma ( X _ { n } : | n | \geq N ).$ ; confidence 0.531 |
− | 192. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b12015015.png ; $P = \{ P _ { p } : p \in [ 0,1 ] \}$ ; confidence 0.531 | + | 192. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b12015015.png ; $\mathcal{P} = \{ \mathsf{P} _ { p } : p \in [ 0,1 ] \}$ ; confidence 0.531 |
193. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e12012091.png ; $( q _ { 1 } , \dots , q _ { n } )$ ; confidence 0.531 | 193. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e12012091.png ; $( q _ { 1 } , \dots , q _ { n } )$ ; confidence 0.531 | ||
Line 388: | Line 388: | ||
194. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a110220110.png ; $R _ { 2 }$ ; confidence 0.531 | 194. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a110220110.png ; $R _ { 2 }$ ; confidence 0.531 | ||
− | 195. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011042.png ; $\sigma | + | 195. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011042.png ; $\sigma _{X}$ ; confidence 0.531 |
− | 196. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130270/a13027075.png ; $| T _ { | + | 196. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130270/a13027075.png ; $\| T _ { n } ( x ) \| \geq c \| x \|$ ; confidence 0.531 |
− | 197. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130110/d1301109.png ; $( c \frac { \hbar } { c } \vec { \alpha } | + | 197. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130110/d1301109.png ; $\left( c \frac { \hbar } { c } \vec { \alpha } \cdot \vec { \nabla } + \vec { \beta } m _{0} c ^ { 2 } \right) \Phi = i \hbar \frac { \partial \Phi } { \partial t }.$ ; confidence 0.531 |
− | 198. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007021.png ; $3 | + | 198. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007021.png ; $3 \cdot 4 , \ldots , 8 \cdot 9$ ; confidence 0.530 |
− | 199. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130070/i13007074.png ; $S _ { + } ^ { 2 } : = \{ \alpha : \alpha \in S ^ { 2 } , \alpha | + | 199. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130070/i13007074.png ; $S _ { + } ^ { 2 } : = \left\{ \alpha : \alpha \in S ^ { 2 } , \alpha \cdot e _ { 3 } > 0 \right\}$ ; confidence 0.530 |
200. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n06752021.png ; $B \in M _ { m \times n } ( K )$ ; confidence 0.530 | 200. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n06752021.png ; $B \in M _ { m \times n } ( K )$ ; confidence 0.530 | ||
− | 201. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130100/w13010033.png ; $\lambda _ { | + | 201. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130100/w13010033.png ; $\lambda _ { d } > 0$ ; confidence 0.530 |
− | 202. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020118.png ; $( p * , q | + | 202. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020118.png ; $( p _ {*} , q _ { * } )$ ; confidence 0.530 |
− | 203. https://www.encyclopediaofmath.org/legacyimages/g/g110/g110100/g1101002.png ; $S ( R ^ { | + | 203. https://www.encyclopediaofmath.org/legacyimages/g/g110/g110100/g1101002.png ; $\mathcal{S} ( \mathbf{R} ^ { n } )$ ; confidence 0.530 |
− | 204. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074520/p07452019.png ; $a b \in P \Rightarrow a \in P \text { or } b \in P$ ; confidence 0.530 | + | 204. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074520/p07452019.png ; $a b \in P \Rightarrow a \in P \text { or } b \in P.$ ; confidence 0.530 |
205. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130190/m13019025.png ; $n = 0,1,2 , \dots$ ; confidence 0.530 | 205. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130190/m13019025.png ; $n = 0,1,2 , \dots$ ; confidence 0.530 | ||
− | 206. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b12022011.png ; $\partial _ { t } \int \phi ( v ) f d v + \operatorname { div } _ { x } \int v \phi ( v ) f d v = 0$ ; confidence 0.530 | + | 206. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b12022011.png ; $\partial _ { t } \int \phi ( v )\, f d v + \operatorname { div } _ { x } \int v \phi ( v )\, f d v = 0,$ ; confidence 0.530 |
− | 207. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023270/c02327010.png ; $\overline { \ | + | 207. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023270/c02327010.png ; $\overline { \emptyset } = \emptyset$ ; confidence 0.530 |
− | 208. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120520/b12052051.png ; $x _ { | + | 208. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120520/b12052051.png ; $x _ { n } \rightarrow x ^ { * }$ ; confidence 0.529 |
− | 209. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120230/a12023071.png ; $b _ { | + | 209. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120230/a12023071.png ; $b _ { q ,\, s }$ ; confidence 0.529 |
− | 210. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340182.png ; $S _ { H _ { | + | 210. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340182.png ; $S _ { H _ { i } }$ ; confidence 0.529 |
− | 211. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130060/k13006047.png ; $\partial _ { k } ( m ) = \left( \begin{array} { c } { | + | 211. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130060/k13006047.png ; $\partial _ { k } ( m ) = \left( \begin{array} { c } { a _ { k } } \\ { k - 1 } \end{array} \right) + \left( \begin{array} { c } { a _ { k } - 1 } \\ { k - 2 } \end{array} \right) + \ldots + \left( \begin{array} { c } { a _ { 1 } } \\ { 0 } \end{array} \right).$ ; confidence 0.529 |
212. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120010/f12001030.png ; $v : X \rightarrow Y$ ; confidence 0.529 | 212. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120010/f12001030.png ; $v : X \rightarrow Y$ ; confidence 0.529 | ||
Line 426: | Line 426: | ||
213. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130480/s1304808.png ; $D a = 0$ ; confidence 0.529 | 213. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130480/s1304808.png ; $D a = 0$ ; confidence 0.529 | ||
− | 214. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130160/c13016064.png ; $ | + | 214. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130160/c13016064.png ; $\operatorname{log} ( t ( n ) )$ ; confidence 0.529 |
215. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120340/b12034019.png ; $D ^ { 0 } = \{ z : | z _ { 1 } | + \ldots + | z _ { n } | < 1 \}$ ; confidence 0.529 | 215. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120340/b12034019.png ; $D ^ { 0 } = \{ z : | z _ { 1 } | + \ldots + | z _ { n } | < 1 \}$ ; confidence 0.529 | ||
− | 216. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015440/b01544038.png ; $ | + | 216. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015440/b01544038.png ; $n_{2}$ ; confidence 0.529 |
− | 217. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130050/d13005019.png ; $ | + | 217. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130050/d13005019.png ; $\operatorname{DG} ( r , m )$ ; confidence 0.529 |
218. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170259.png ; $\{ e _ { 1 } ^ { i } \}$ ; confidence 0.529 | 218. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170259.png ; $\{ e _ { 1 } ^ { i } \}$ ; confidence 0.529 | ||
− | 219. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120140/f12014073.png ; $z = \varphi$ ; confidence 0.529 | + | 219. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120140/f12014073.png ; $\operatorname{arg} z = \varphi$ ; confidence 0.529 |
− | 220. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170286.png ; $F | + | 220. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170286.png ; $F / N$ ; confidence 0.529 |
− | 221. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110410/c11041034.png ; $F | + | 221. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110410/c11041034.png ; $F _{Y}$ ; confidence 0.529 |
222. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w13009032.png ; $L ^ { 2 } ( \mu ) = \sum _ { n = 0 } ^ { \infty } G _ { n }$ ; confidence 0.529 | 222. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w13009032.png ; $L ^ { 2 } ( \mu ) = \sum _ { n = 0 } ^ { \infty } G _ { n }$ ; confidence 0.529 | ||
− | 223. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f13010010.png ; $\sum _ { n = 1 } ^ { \infty } N _ { p } ( k _ { n } ) N _ { p } | + | 223. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f13010010.png ; $\sum _ { n = 1 } ^ { \infty } N _ { p } ( k _ { n } ) N _ { p^{\prime} } ( l _ { n } ) < \infty$ ; confidence 0.528 |
− | 224. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120190/w12019027.png ; $A _ { | + | 224. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120190/w12019027.png ; $A _ { \text{W} }$ ; confidence 0.528 |
− | 225. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120020/t12002015.png ; $T ^ { - } = \ | + | 225. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120020/t12002015.png ; $\mathcal{T} ^ { - } = \bigcap _ { N \geq 0 } \sigma ( X _ { n } : n \leq - N )$ ; confidence 0.528 |
− | 226. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130080/d130080106.png ; $z \in D$ ; confidence 0.528 | + | 226. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130080/d130080106.png ; $z \in \mathcal{D}$ ; confidence 0.528 |
− | 227. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110233.png ; $H ( X ) = \operatorname { sup } _ { T \neq 0 } \sqrt { \frac { G X ( T ) } { G _ { X } ^ { | + | 227. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110233.png ; $H ( X ) = \operatorname { sup } _ { T \neq 0 } \sqrt { \frac { G _{X} ( T ) } { G _ { X } ^ { \sigma } ( T ) } }$ ; confidence 0.528 |
− | 228. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090195.png ; $\operatorname { PSL } _ { | + | 228. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090195.png ; $\operatorname { PSL } _ { n } ( K )$ ; confidence 0.528 |
− | 229. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120240/f12024079.png ; $J _ { | + | 229. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120240/f12024079.png ; $J _ { x }$ ; confidence 0.528 |
− | 230. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120320/b12032071.png ; $ | + | 230. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120320/b12032071.png ; $a _ { 1 } = 1$ ; confidence 0.528 |
− | 231. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130650/s13065067.png ; $w | + | 231. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130650/s13065067.png ; $w / p$ ; confidence 0.528 |
− | 232. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030810/d03081019.png ; $d j$ ; confidence 0.528 | + | 232. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030810/d03081019.png ; $d _{j}$ ; confidence 0.528 |
− | 233. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130020/q13002020.png ; $( 1 - P ) | \phi \rangle / \| ( 1 - P ) | \phi \rangle \|$ ; confidence 0.528 | + | 233. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130020/q13002020.png ; $\left. ( 1 - P ) | \phi \rangle \middle/ \| ( 1 - P ) | \phi \rangle \|\right.$ ; confidence 0.528 |
− | 234. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k05584043.png ; $J = J ^ { | + | 234. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k05584043.png ; $J = J ^ { * }$ ; confidence 0.528 |
235. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230136.png ; $\pi _ { r } ^ { k } : E ^ { k } \rightarrow E ^ { r }$ ; confidence 0.528 | 235. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230136.png ; $\pi _ { r } ^ { k } : E ^ { k } \rightarrow E ^ { r }$ ; confidence 0.528 | ||
− | 236. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011031.png ; $= \int u ( x + \frac { y } { 2 } ) \ | + | 236. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011031.png ; $= \int u \left( x + \frac { y } { 2 } \right) \overline{v} \left( x - \frac { y } { 2 } \right) e ^ { - 2 i \pi y \cdot \xi } d y.$ ; confidence 0.528 |
− | 237. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040097.png ; $R * ( b ) H _ { R } \subset H _ { R }$ ; confidence 0.528 | + | 237. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040097.png ; $R _{*} ( \mathfrak{b} ) H _ { R } \subset H _ { R }$ ; confidence 0.528 |
238. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120020/c12002042.png ; $( \text { a.c. } A ^ { \alpha } f ) _ { \alpha = 0 } = f$ ; confidence 0.528 | 238. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120020/c12002042.png ; $( \text { a.c. } A ^ { \alpha } f ) _ { \alpha = 0 } = f$ ; confidence 0.528 | ||
− | 239. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120190/e12019046.png ; $g \ | + | 239. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120190/e12019046.png ; $g \ni p$ ; confidence 0.528 |
− | 240. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m130260229.png ; $x _ { | + | 240. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m130260229.png ; $x _ { n } \leq z \leq y _ { n }$ ; confidence 0.528 |
− | 241. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091190/s0911905.png ; $V _ { \ | + | 241. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091190/s0911905.png ; $V _ { \overline{0} }$ ; confidence 0.528 |
− | 242. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130090/f13009091.png ; $x = ( x ^ { k - 1 } , x ^ { k - 2 } , \dots , 1 )$ ; confidence 0.528 | + | 242. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130090/f13009091.png ; $\mathbf{x} = ( x ^ { k - 1 } , x ^ { k - 2 } , \dots , 1 )$ ; confidence 0.528 |
− | 243. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062220/m06222081.png ; $S _ { | + | 243. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062220/m06222081.png ; $S _ { u v }$ ; confidence 0.528 |
244. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120040/b1200408.png ; $u > 0$ ; confidence 0.528 | 244. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120040/b1200408.png ; $u > 0$ ; confidence 0.528 | ||
Line 492: | Line 492: | ||
246. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030240/d0302407.png ; $\beta _ { 0 } , \dots , \beta _ { r }$ ; confidence 0.528 | 246. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030240/d0302407.png ; $\beta _ { 0 } , \dots , \beta _ { r }$ ; confidence 0.528 | ||
− | 247. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130250/c13025029.png ; $N _ { k } ( t ) = 1 _ { ( X _ { k } \leq t , I _ { k } ( X _ { k } ) = 1 ) }$ ; confidence 0.528 | + | 247. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130250/c13025029.png ; $N _ { k } ( t ) = 1 _ { ( X _ { k } \leq t ,\, I _ { k } ( X _ { k } ) = 1 ) }$ ; confidence 0.528 |
248. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120080/q1200802.png ; $p = 1 , \dots , P$ ; confidence 0.528 | 248. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120080/q1200802.png ; $p = 1 , \dots , P$ ; confidence 0.528 | ||
− | 249. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130020/q13002024.png ; $> 2 | + | 249. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130020/q13002024.png ; $> 2 / 3$ ; confidence 0.528 |
− | 250. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068080/o0680807.png ; $A _ { i | + | 250. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068080/o0680807.png ; $A _ { i \alpha }$ ; confidence 0.527 |
251. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017051.png ; $k$ ; confidence 0.527 | 251. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017051.png ; $k$ ; confidence 0.527 | ||
Line 504: | Line 504: | ||
252. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110110/m11011013.png ; $- i \infty$ ; confidence 0.527 | 252. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110110/m11011013.png ; $- i \infty$ ; confidence 0.527 | ||
− | 253. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120240/s12024048.png ; $z _ { i } ^ { | + | 253. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120240/s12024048.png ; $z _ { i } ^ { n }$ ; confidence 0.527 |
− | 254. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120040/s12004054.png ; $s _ { \lambda } = \operatorname { det } ( h _ { \lambda _ { i } - i + j } )$ ; confidence 0.527 | + | 254. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120040/s12004054.png ; $s _ { \lambda } = \operatorname { det } ( h _ { \lambda _ { i } - i + j } ),$ ; confidence 0.527 |
− | 255. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120260/c1202601.png ; $\left\{ \begin{array} { l } { u _ { t } - u _ { | + | 255. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120260/c1202601.png ; $\left\{ \begin{array} { l } { u _ { t } - u _ { x x } = 0 , \quad 0 < x < 1,0 < t, } \\ { u ( 0 , t ) = u ( 1 , t ) = 0 , \quad 0 < t, } \\ { u ( x , 0 ) = u ^ { 0 } ( x ) , \quad 0 \leq x \leq 1. } \end{array} \right.$ ; confidence 0.527 |
256. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120040/b120040127.png ; $x ^ { \prime } \in X ^ { \prime }$ ; confidence 0.527 | 256. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120040/b120040127.png ; $x ^ { \prime } \in X ^ { \prime }$ ; confidence 0.527 | ||
Line 518: | Line 518: | ||
259. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120080/i12008029.png ; $S _ { 1 } = \pm 1 , \dots , S _ { N } = \pm 1$ ; confidence 0.527 | 259. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120080/i12008029.png ; $S _ { 1 } = \pm 1 , \dots , S _ { N } = \pm 1$ ; confidence 0.527 | ||
− | 260. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a13032022.png ; $E ( N ) = E ( S _ { N } ) ( E ( Y ) ) ^ { - 1 }$ ; confidence 0.527 | + | 260. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a13032022.png ; $\mathsf{E} ( N ) = \mathsf{E} ( S _ { N } ) ( \mathsf{E} ( Y ) ) ^ { - 1 }$ ; confidence 0.527 |
− | 261. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240329.png ; $ | + | 261. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240329.png ; $\mathbf{X}_{4}$ ; confidence 0.527 |
− | 262. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120500/b12050047.png ; $E ( \operatorname { exp } ( - u \alpha _ { x } ) ) =$ ; confidence 0.527 | + | 262. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120500/b12050047.png ; $\mathsf{E} ( \operatorname { exp } ( - u \alpha _ { x } ) ) =$ ; confidence 0.527 |
− | 263. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130130/z13013022.png ; $\sum _ { n = 0 } ^ { \infty } a _ { n } | + | 263. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130130/z13013022.png ; $\sum _ { n = 0 } ^ { \infty } a _ { n } n_{0} ^ { n } P _ { n } ( \operatorname { cos } \theta )$ ; confidence 0.527 |
− | 264. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120050/s12005031.png ; $( \frac { 1 - z _ { j } z _ { k } } { 1 - w _ { j } \overline { w } _ { k } } ) _ { j , k = 1 } ^ { n }$ ; confidence 0.527 | + | 264. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120050/s12005031.png ; $\left( \frac { 1 - z _ { j } \overline {z} _ { k } } { 1 - w _ { j } \overline { w } _ { k } } \right) _ { j , k = 1 } ^ { n }$ ; confidence 0.527 |
− | 265. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110430/c11043084.png ; $ | + | 265. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110430/c11043084.png ; $\mathbf{Z}_{4}$ ; confidence 0.527 |
− | 266. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075660/p07566021.png ; $\Omega \times R ^ { | + | 266. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075660/p07566021.png ; $\Omega \times \mathbf{R} ^ { n }$ ; confidence 0.527 |
− | 267. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120040/l12004021.png ; $t ^ { | + | 267. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120040/l12004021.png ; $t ^ { n + 1 }$ ; confidence 0.527 |
268. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130100/p130100183.png ; $K = \hat { K }$ ; confidence 0.527 | 268. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130100/p130100183.png ; $K = \hat { K }$ ; confidence 0.527 | ||
Line 538: | Line 538: | ||
269. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c12018023.png ; $x ^ { 1 } , \ldots , x ^ { p }$ ; confidence 0.527 | 269. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c12018023.png ; $x ^ { 1 } , \ldots , x ^ { p }$ ; confidence 0.527 | ||
− | 270. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120140/d12014013.png ; $D _ { n } ( x , a ) = u ^ { n } + \frac { a ^ { n } } { u ^ { n } }$ ; confidence 0.526 | + | 270. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120140/d12014013.png ; $D _ { n } ( x , a ) = u ^ { n } + \frac { a ^ { n } } { u ^ { n } }.$ ; confidence 0.526 |
− | 271. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130160/c13016062.png ; $ | + | 271. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130160/c13016062.png ; $\operatorname {DTIME}[t(n)]$ ; confidence 0.526 |
272. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130180/m13018023.png ; $\mu ( A , B ) = ( - 1 ) ^ { | B | - | A | }$ ; confidence 0.526 | 272. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130180/m13018023.png ; $\mu ( A , B ) = ( - 1 ) ^ { | B | - | A | }$ ; confidence 0.526 | ||
Line 550: | Line 550: | ||
275. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120090/m12009011.png ; $- i \partial / \partial x _ { j }$ ; confidence 0.526 | 275. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120090/m12009011.png ; $- i \partial / \partial x _ { j }$ ; confidence 0.526 | ||
− | 276. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062000/m0620007.png ; $( X _ { n } ) _ { n | + | 276. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062000/m0620007.png ; $( X _ { n } ) _ { n \geq k + m + 1}$ ; confidence 0.526 |
− | 277. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013290/a01329074.png ; $ | + | 277. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013290/a01329074.png ; $\leq n$ ; confidence 0.526 |
− | 278. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c12017032.png ; $K \subseteq R ^ { | + | 278. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c12017032.png ; $K \subseteq \mathbf{R} ^ { n }$ ; confidence 0.526 |
− | 279. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120110/n12011073.png ; $\psi _ { x } ( | + | 279. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120110/n12011073.png ; $\psi _ { x } ( \cdot )$ ; confidence 0.526 |
− | 280. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052052.png ; $a _ { | + | 280. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052052.png ; $a _ { m }$ ; confidence 0.526 |
− | 281. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009095.png ; $m | + | 281. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009095.png ; $m / n$ ; confidence 0.526 |
282. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120180/s12018046.png ; $\langle e _ { i } , e _ { i } \rangle = 1$ ; confidence 0.526 | 282. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120180/s12018046.png ; $\langle e _ { i } , e _ { i } \rangle = 1$ ; confidence 0.526 | ||
− | 283. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b12015017.png ; $\sum _ { j = 1 } ^ { n } x _ { j } | + | 283. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b12015017.png ; $p^{\sum _ { j = 1 } ^ { n } x _ { j }} (1-p)^{ n - \sum _ { j = 1 } ^ { n } x _ { j }}$ ; confidence 0.526 |
284. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007032.png ; $d > c$ ; confidence 0.525 | 284. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007032.png ; $d > c$ ; confidence 0.525 | ||
− | 285. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120010/e120010111.png ; $e : X \rightarrow G A \in E \text { and } M = ( m _ { i } : A \rightarrow A _ { i } ) _ { I } \in \mathfrak { M }$ ; confidence 0.525 | + | 285. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120010/e120010111.png ; $e : X \rightarrow G A \in E \text { and } \mathcal{M} = ( m _ { i } : A \rightarrow A _ { i } ) _ { I } \in \mathfrak { M }$ ; confidence 0.525 |
− | 286. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130010/g1300102.png ; $E = GF ( q ^ { n } )$ ; confidence 0.525 | + | 286. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130010/g1300102.png ; $E = \operatorname{GF} ( q ^ { n } )$ ; confidence 0.525 |
− | 287. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050196.png ; $Z _ { A ( p ) } ( y ) = \prod _ { r = 1 } ^ { \infty } ( 1 - y ^ { r } ) ^ { - 1 } = \sum _ { n = 0 } ^ { \infty } p ( n ) y ^ { n }$ ; confidence 0.525 | + | 287. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050196.png ; $Z _ { \mathcal{A} ( p ) } ( y ) = \prod _ { r = 1 } ^ { \infty } ( 1 - y ^ { r } ) ^ { - 1 } = \sum _ { n = 0 } ^ { \infty } \mathbf{p} ( n ) y ^ { n },$ ; confidence 0.525 |
− | 288. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b120420153.png ; $C ^ { | + | 288. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b120420153.png ; $\mathcal{C} ^ { \circ }$ ; confidence 0.525 |
289. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024890/c02489024.png ; $\beta _ { 1 } , \ldots , \beta _ { n }$ ; confidence 0.525 | 289. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024890/c02489024.png ; $\beta _ { 1 } , \ldots , \beta _ { n }$ ; confidence 0.525 | ||
− | 290. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130120/b13012077.png ; $V _ { \varepsilon } = 2 \Delta _ { 2 | + | 290. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130120/b13012077.png ; $V _ { \varepsilon } = 2 \Delta _ { 2 \varepsilon} - \Delta _ { \varepsilon }$ ; confidence 0.525 |
− | 291. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f12021064.png ; $\frac { \partial } { \partial \lambda } u ( z , \lambda _ { i } ) = ( \operatorname { log } z ) z ^ { \ | + | 291. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f12021064.png ; $\frac { \partial } { \partial \lambda } u ( z , \lambda _ { i } ) = ( \operatorname { log } z ) z ^ { \lambda_i } +\dots \dots$ ; confidence 0.525 |
− | 292. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120370/b12037068.png ; $C _ { \Omega } ( L _ { | + | 292. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120370/b12037068.png ; $C _ { \Omega } ( L _ { n } )$ ; confidence 0.525 |
293. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130250/c13025026.png ; $T _ { 1 } , \dots , T _ { j }$ ; confidence 0.525 | 293. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130250/c13025026.png ; $T _ { 1 } , \dots , T _ { j }$ ; confidence 0.525 | ||
− | 294. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120080/t12008049.png ; $( 5 \times 10 ^ { 6 } r ) ^ { | + | 294. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120080/t12008049.png ; $( 5 \times 10 ^ { 6 } r ) ^ { s }$ ; confidence 0.525 |
− | 295. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130590/s13059041.png ; $( F _ { | + | 295. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130590/s13059041.png ; $( F _ { n } > 0 , G _ { n } > 0 ),$ ; confidence 0.525 |
296. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130050/c13005035.png ; $v \in V \Gamma$ ; confidence 0.525 | 296. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130050/c13005035.png ; $v \in V \Gamma$ ; confidence 0.525 | ||
− | 297. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120490/b12049029.png ; $m ( A ) - k m ( B ) \leq m ( A \ | + | 297. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120490/b12049029.png ; $m ( A ) - k m ( B ) \leq m ( A \bigcup B ) \leq m ( A ) + k m ( B )$ ; confidence 0.525 |
− | 298. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130010/e13001020.png ; $c _ { n } d ^ { n } ( d + h ) q$ ; confidence 0.525 | + | 298. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130010/e13001020.png ; $\operatorname{exp} c _ { n } d ^ { n } ( d + h ) q$ ; confidence 0.525 |
− | 299. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110207.png ; $j \leq 1$ ; confidence 0.525 | + | 299. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110207.png ; $\operatorname{max} h_{j} \leq 1$ ; confidence 0.525 |
− | 300. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130070/p13007015.png ; $PSH ( D )$ ; confidence 0.525 | + | 300. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130070/p13007015.png ; $\operatorname{PSH} ( D )$ ; confidence 0.525 |
Latest revision as of 02:07, 16 June 2020
List
1. ; $\leq 2 \mathsf{E} [ X _ { 0 } ] + 2 \mathsf{E} \left[ X _ { \infty } \operatorname { log } ^{+} \frac { X _ { \infty } } { \mathsf{E} [ X _ { 0 } ] } \right].$ ; confidence 0.541
2. ; $S _ { R } ^ { \delta }\, f ( x ) = \sum _ { \lambda _ { k } \leq R } \left( 1 - \frac { \lambda _ { k } } { R } \right) ^ { \delta } ( f , \phi _ { k } ) \phi _ { k } ( x ).$ ; confidence 0.541
3. ; $\langle x y \langle u v w \rangle \rangle =$ ; confidence 0.541
4. ; $O _ { \text{p} }$ ; confidence 0.541
5. ; $[ a , \infty )$ ; confidence 0.541
6. ; $1,2,3,5,8,13,21 , \ldots .$ ; confidence 0.541
7. ; $\mathfrak{E} ( \lambda )$ ; confidence 0.541
8. ; $= - \frac { i \Gamma } { 2 \pi } \operatorname { log } \left[ \operatorname { sin } \frac { \pi z } { l } \right] + \text{const}.$ ; confidence 0.541
9. ; $f \mapsto \sum _ { k = 1 } ^ { n } a _ { k } \frac { \partial f } { \partial z _ { k } }.$ ; confidence 0.541
10. ; $|m| = 1$ ; confidence 0.540
11. ; $\text{NP} \neq \operatorname{co} \text{NP}$ ; confidence 0.540
12. ; $B ( l _ { 1 } , l _ { 2 } )$ ; confidence 0.540
13. ; $\varepsilon x \varphi$ ; confidence 0.540
14. ; $x \in \partial \Omega$ ; confidence 0.540
15. ; $f ( x _ { 1 } , \ldots , x _ { n } )$ ; confidence 0.540
16. ; $\tilde{u}$ ; confidence 0.540
17. ; $\| T ^ { n } \|$ ; confidence 0.540
18. ; $\| A ( t , u ) - A ( t , u ^ { \prime } ) \| _ { L ( Y , X ) } \leq \mu \| u - u ^ { \prime } \| _ { X }$ ; confidence 0.540
19. ; $U \subseteq V$ ; confidence 0.540
20. ; $\sigma ( x ) a = x a$ ; confidence 0.540
21. ; $\mathcal{A} X \subset X$ ; confidence 0.540
22. ; $a = \sigma ( P )$ ; confidence 0.540
23. ; $Z _ { f }$ ; confidence 0.540
24. ; $X = ( X _ { n } ) _ { n \in Z }$ ; confidence 0.540
25. ; $H \rightarrow \operatorname{GL} ( V )$ ; confidence 0.540
26. ; $r = 1$ ; confidence 0.539
27. ; $Y _ { \text{com} } = ( Y _ { \text{obs} } , Y _ { \text{mis} } )$ ; confidence 0.539
28. ; $j = 1 , \ldots , n$ ; confidence 0.539
29. ; $\partial / \partial y _ { n }$ ; confidence 0.539
30. ; $\operatorname{log}| f ( x ) |$ ; confidence 0.539
31. ; $\mathsf{E} ( Y _ { i } ^ { 2 } ) = \sigma ^ { 2 } < \infty$ ; confidence 0.539
32. ; $X \equiv ( x _ { 1 } , \dots , x _ { n } ) = 0$ ; confidence 0.539
33. ; $\operatorname{Eis}( \omega , s ) = \sum _ { \gamma \in \Gamma / \Gamma _ { P } } \gamma \omega _ { s }$ ; confidence 0.539
34. ; $\Gamma u = u _ { N }$ ; confidence 0.539
35. ; $a , b \in D$ ; confidence 0.539
36. ; $= \omega \bigwedge [ D _ { 1 } , D _ { 2 } ] - ( - 1 ) ^ { ( q + k _ { 1 } ) k _ { 2 } } D _ { 2 } ( \omega ) \bigwedge D _ { 1 } ,\, i ( \omega \bigwedge L ) = \omega \bigwedge i ( L ),$ ; confidence 0.539
37. ; $D ( u ) = \int _ { \mathbf{R} } u d x $ ; confidence 0.539
38. ; $\mu _ { p } ( K / k ) > 0$ ; confidence 0.539
39. ; $\lambda _ { p } ( k _ { \infty } / k ) = \mu _ { p } ( k _ { \infty } / k ) = 0$ ; confidence 0.539
40. ; $v \in \Sigma \backslash \{ 0 \}$ ; confidence 0.539
41. ; $\epsilon x ^ { \prime } = y - x + \frac { x ^ { 3 } } { 3 } , \quad y ^ { \prime } = - x , \quad \square ^ { \prime } = \frac { d } { d \tau },$ ; confidence 0.539
42. ; $G / P$ ; confidence 0.539
43. ; $\operatorname {Fix} F \neq \emptyset$ ; confidence 0.539
44. ; $l = 1 , \ldots , N$ ; confidence 0.539
45. ; $\Phi$ ; confidence 0.539
46. ; $K_{0} ( \operatorname { prin } K I ) \simeq \mathbf{Z} ^ { I }$ ; confidence 0.538
47. ; $1 , \dots , 7$ ; confidence 0.538
48. ; $\mathfrak { M } = < M , D ; \& ^ { * } , \vee ^ { * } , \supset ^ { * } , \neg ^ { * } >.$ ; confidence 0.538
49. ; $H ^ { * } ( E _ { c } ^ { * } ( M ) )$ ; confidence 0.538
50. ; $S ^ { \prime }$ ; confidence 0.538
51. ; $U _ { x } ( y ) := 2 x \circ ( x \circ y ) - x ^ { 2 } \circ y$ ; confidence 0.538
52. ; $s _ { 1 } = \ldots = s _ { k } = s$ ; confidence 0.538
53. ; $8$ ; confidence 0.538
54. ; $\sum _ { a \in Z _ { f } } R ( a ) =$ ; confidence 0.538
55. ; $\mathfrak{A} ^ { *S }$ ; confidence 0.538
56. ; $n = 0,1 , \ldots ,$ ; confidence 0.538
57. ; $\beta _ { n } ( \phi , \rho )$ ; confidence 0.538
58. ; $k = 0$ ; confidence 0.538
59. ; $a \in [ 0 , + \infty [$ ; confidence 0.538
60. ; $\operatorname{FMod} \mathcal{D}$ ; confidence 0.538
61. ; $\phi = ( \mathcal{F} k ) \circ \text{o}$ ; confidence 0.537
62. ; $( p _ { m } ^ { \prime } ( x ) ) _ { m \geq 1 }$ ; confidence 0.537
63. ; $\mathbf{C} \backslash G$ ; confidence 0.537
64. ; $n = \sum n_{i}$ ; confidence 0.537
65. ; $S ^ { n } ( - t , x _ { 1 } , \dots , x _ { n } ) F _ { n } ( x _ { 1 } , \dots , x _ { n } ) =$ ; confidence 0.537
66. ; $( h _ { n } ) _ { n = 1 } ^ { \infty } 1$ ; confidence 0.537
67. ; $r \in \mathcal{H}$ ; confidence 0.537
68. ; $\phi _ { x x } = [ u ( x ) - k ^ { 2 } \rho ( x ) ] \phi$ ; confidence 0.537
69. ; $K = \mathbf{F} _ { q } ( x )$ ; confidence 0.537
70. ; $\mathcal{E} _ { A , K [ \lambda ] } = \{ e _ { i } ^ { n _ { ij } } \}$ ; confidence 0.537
71. ; $y _ { i } \cong \hat { y } _ { i }$ ; confidence 0.537
72. ; $h _ { i } \in \operatorname{Gl} ( v _ { i } , K )$ ; confidence 0.537
73. ; $E _ { v _ { 1 } , \ldots , v _ { n } } ( f ) _ { p }$ ; confidence 0.537
74. ; $i \in \{ 1 , \dots , n \} \backslash I$ ; confidence 0.537
75. ; $\operatorname{Proj} R ( I ) \rightarrow \operatorname{Spec} A$ ; confidence 0.537
76. ; $U ( \mathfrak{h} )$ ; confidence 0.537
77. ; $L_{ -i}$ ; confidence 0.537
78. ; $x _ { n } \in G ( n )_{n}$ ; confidence 0.537
79. ; $\theta_{ Y }\circ \phi$ ; confidence 0.536
80. ; $\beta = 4 C _ { X , Y } \left( \frac { 1 } { 2 } , \frac { 1 } { 2 } \right) - 1,$ ; confidence 0.536
81. ; $\operatorname{sp} ( m )$ ; confidence 0.536
82. ; $d _ { i } \neq 0$ ; confidence 0.536
83. ; $t ( M )$ ; confidence 0.536
84. ; $U _ { t }$ ; confidence 0.536
85. ; $\subseteq$ ; confidence 0.536
86. ; $k ( t ) [ X _ { 1 } , \dots , X _ { n } ]$ ; confidence 0.536
87. ; $\operatorname { ev } _ { x } ( f \otimes 1 ) = f ( x )$ ; confidence 0.536
88. ; $\operatorname { deg } F$ ; confidence 0.536
89. ; $\{ A ; \mathbf{P} , + , . \}$ ; confidence 0.536
90. ; $A ^ { m } = \mathbf{R} ^ { m } \oplus N ^ { m }$ ; confidence 0.536
91. ; $B_0$ ; confidence 0.536
92. ; $G ^ { * }$ ; confidence 0.536
93. ; $\int _ { 0 } ^ { \infty } ( V _ { g } f ) ( \theta , t ) \frac { d t } { t } = c _ { g } \,f,$ ; confidence 0.536
94. ; $\hat{D}$ ; confidence 0.536
95. ; $v : S ^ { 2 } \rightarrow M$ ; confidence 0.536
96. ; $\beta _ { 4 }$ ; confidence 0.536
97. ; $x _ { n }$ ; confidence 0.536
98. ; $\{ x \in \mathbf{R} ^ { n } : | x - x _ { 0 } | \leq R \}$ ; confidence 0.536
99. ; $( L_{A} , R _ { B } )$ ; confidence 0.536
100. ; $d [ f , S ^ { n } , S ^ { n } ] = \operatorname { deg } _ { B } [ \tilde { f } , B ( 1 ) , 0 ]$ ; confidence 0.536
101. ; $\mathcal{G} _ { \lambda }$ ; confidence 0.535
102. ; $d _ { ( 3,1 ^ { n - 3 } ) } ( L ( T ) )$ ; confidence 0.535
103. ; $\mathbf{R} _ { p } ^ { 3 N } \times \mathbf{R} _ { x } ^ { 3 N }$ ; confidence 0.535
104. ; $x \in \mathcal{L}$ ; confidence 0.535
105. ; $x \mapsto y$ ; confidence 0.535
106. ; $f \in C ^ { 1 } ( [ 0 , T ] ; X )$ ; confidence 0.535
107. ; $= \left( \begin{array} { c c } { \frac { d A ( t ) ^ { 1 / 2 } } { d t } A ( t ) ^ { - 1 / 2 } } & { i A ( t ) ^ { 1 / 2 } } \\ { i A ( t ) ^ { 1 / 2 } } & { 0 } \end{array} \right) \left( \begin{array} { c } { v _ { 0 } } \\ { v _ { 1 } } \end{array} \right) + \left( \begin{array} { c } { 0 } \\ { f ( t ) } \end{array} \right) ,\, t \in [ 0 , T ],$ ; confidence 0.535
108. ; $A_{i}^{n}$ ; confidence 0.535
109. ; $m _{B}$ ; confidence 0.535
110. ; $t = d _ { Y } ^ { \prime } - d _ { Y }$ ; confidence 0.535
111. ; $b \in B$ ; confidence 0.535
112. ; $| f ^ { C_ \rho } ( x ) - f ( x ) | = O ( \rho )\, \text { as } \rho \rightarrow 0 ,\, x \in U,$ ; confidence 0.535
113. ; $d ( f , g ) = \operatorname { sup } \{ d ( f c , g c ) : c \in C \}$ ; confidence 0.534
114. ; $( u _ { t } + 6 u u _ { x } + u _ { xxx } ) _ { x } + 3 \sigma ^ { 2 } u _ { yy } = 0,$ ; confidence 0.534
115. ; $M \geq 0$ ; confidence 0.534
116. ; $\tilde { \eta }$ ; confidence 0.534
117. ; $h ( m , k ) = \sum _ { j = 1 } ^ { n } b _ { j } z _ { j } ^ { k } w _ { j }^ { m }$ ; confidence 0.534
118. ; $i = 1 , \dots , 4 ,\: m , n = 1,2,$ ; confidence 0.534
119. ; $\langle D _ { + } \rangle + \langle D _ { - } \rangle = ( A + A ^ { - 1 } ) ( \langle D _ { 0 } \rangle + \langle D _ { \infty } \rangle ),$ ; confidence 0.534
120. ; $c \in \Delta$ ; confidence 0.534
121. ; $\hat { c } _ { k } ^ { 1 } = c ^ { T } x ^ { ( k ) } + ( A _ { 1 } x ^ { ( k ) } - b _ { 1 } ) ^ { T } \overline { u } _ { 1 } - \overline { q },$ ; confidence 0.534
122. ; $\operatorname { lim } _ { n \rightarrow \infty } ( P Q ) ^ { n } f = P _ { U \bigcap V }\, f \text { for all } f \in H .$ ; confidence 0.534
123. ; $\{ P _ { n } ^ { \prime } \}$ ; confidence 0.534
124. ; $t \in [ t _{0} , \infty )$ ; confidence 0.534
125. ; $\operatorname { dim } I = 0$ ; confidence 0.534
126. ; $\omega ( a )$ ; confidence 0.534
127. ; $x _ { j }$ ; confidence 0.534
128. ; $c _ { 1 } ( M ) _ { \mathbf{R} } = 0$ ; confidence 0.534
129. ; $a _ { 1 } d _ { 1 } ^ { * } + a _ { 2 } d _ { 2 } ^ { * }$ ; confidence 0.534
130. ; $i A$ ; confidence 0.534
131. ; $\| \rho \| _ { L ^ { p } ( \mathbf{R} ^ { n } ) } \leq A _ { n } N ^ { 1 / p }$ ; confidence 0.534
132. ; $\Gamma \backslash \overline{X}$ ; confidence 0.534
133. ; $q _ { 1 } , \dots , q _ { t }$ ; confidence 0.534
134. ; $\operatorname{Re} \lambda _ { j } \neq 0$ ; confidence 0.534
135. ; $O _ { \text{N} }$ ; confidence 0.534
136. ; $k \in P ^ { \prime }$ ; confidence 0.534
137. ; $\overline { D } _ { S } \rightarrow \overline { D } _ { T }$ ; confidence 0.534
138. ; $\zeta \mapsto A ( \zeta )$ ; confidence 0.534
139. ; $\mathsf{P} ( \theta , t , \nu ) ( d \omega ) = \frac { 1 } { L _ { \mu } ( \theta ) } \operatorname { exp } \langle \theta , t ( \omega ) \rangle \nu ( d \omega ).$ ; confidence 0.534
140. ; $f \in \mathcal{C} _ { 0 } ( S )$ ; confidence 0.533
141. ; $\mathbf{sl} _ { 3 }$ ; confidence 0.533
142. ; $r _ { 1 } ^ { 2 } , \ldots , r _ { n } ^ { 2 }$ ; confidence 0.533
143. ; $T = \left( \begin{array} { c c } { P } & { Q } \\ { R } & { S } \end{array} \right)$ ; confidence 0.533
144. ; $G ( a ) = \operatorname { exp } ( \hat{s} ( 0 ) )$ ; confidence 0.533
145. ; $c_{i}$ ; confidence 0.533
146. ; $\mu ( N ) = - \frac { \partial E ^ { \text{TF} } ( N ) } { \partial N }.$ ; confidence 0.533
147. ; $\psi \in L$ ; confidence 0.533
148. ; $2 \mathbf{Z}$ ; confidence 0.533
149. ; $\{ f _ { i } : i = 1,2 , \ldots \}$ ; confidence 0.533
150. ; $m ^ { \downarrow Y } ( B ) = \sum _ { A : B = A ^ { \downarrow Y } } m ( A ).$ ; confidence 0.533
151. ; $G / \mathbf{Q}$ ; confidence 0.533
152. ; $X _ { j } = \operatorname { ker } ( T - t _ { j } I ) ^ { r _ { j } } , \quad ( j = 1 , \ldots , n ).$ ; confidence 0.533
153. ; $g_{l+ 1}$ ; confidence 0.533
154. ; $\Omega = ( 1,0 , \ldots )$ ; confidence 0.533
155. ; $G_{\mathcal{A}}$ ; confidence 0.533
156. ; $\tilde{x} ( z ) = Z ( x ( n ) )$ ; confidence 0.533
157. ; $S ( b , d ( b , x ) )$ ; confidence 0.533
158. ; $\left.+ c ^ { 2 } \left( \nabla - i \frac { q e } { \hbar c } A \right) ^ { 2 } + \frac { c ^ { 4 } m ^ { 2 } } { \hbar ^ { 2 } } \right] \psi ( t , \mathbf{x} )$ ; confidence 0.533
159. ; $\lambda W$ ; confidence 0.533
160. ; $( 0 , \ldots , 0 )$ ; confidence 0.533
161. ; $\| f + \operatorname {VMOA} \| _ { * } \leq C \operatorname { lim sup } _ { \zeta \in T } \sqrt { \operatorname { area } ( K _ { \zeta } ) }.$ ; confidence 0.532
162. ; $p_{ *}$ ; confidence 0.532
163. ; $a , b \in \mathbf{R} ^ { n }$ ; confidence 0.532
164. ; $h ( g _ { j _ { 1 } } , \dots , g _ { j _ { r } } )$ ; confidence 0.532
165. ; $( X _ { 1 } , \ldots , X _ { n } )$ ; confidence 0.532
166. ; $E ^ { k } = \left\{ [ \sigma ] _ { x } ^ { k } : x \in M , \sigma \in \Gamma _ { x } ( E ) \right\}$ ; confidence 0.532
167. ; $k = 0 , \dots , q$ ; confidence 0.532
168. ; $\tau \in \operatorname {Voc}_{\mathcal{L}}$ ; confidence 0.532
169. ; $t ( h ) = T ( h ) \bigcup_{ \partial T ( h )} \partial F \times D ^ { 2 }$ ; confidence 0.532
170. ; $[ y _ { 1 } \ldots y _ { k } ]$ ; confidence 0.532
171. ; $M ( f ) = \operatorname { lim } _ { x \rightarrow \infty } \frac { 1 } { x } \cdot \sum _ { n \leq x } f ( n ).$ ; confidence 0.532
172. ; $w \notin A$ ; confidence 0.532
173. ; $\mathcal{S} _ { \text{F} }$ ; confidence 0.532
174. ; $\mathbf{E} ^ { n } ( X ) = [ \Sigma ^ { k } X , E _ { n + k } ] , \quad n \in \mathbf{Z}.$ ; confidence 0.532
175. ; $1 \leq s \leq k$ ; confidence 0.532
176. ; $\varphi \in L _ { \text{C} } ^ { p } ( G )$ ; confidence 0.532
177. ; $f , f _ { 1 } , \dots , f _ { m } \in R : = k [ x _ { 1 } , \dots , x _ { n } ]$ ; confidence 0.532
178. ; $\langle a ^ { k } b a ^ { - k } | k \geq 1 \rangle$ ; confidence 0.532
179. ; $[ \Sigma X , Y ] \cong [ X , \Omega Y ]$ ; confidence 0.532
180. ; $p _ { 1 } , \dots , p _ { m }$ ; confidence 0.531
181. ; $( Z _ { n } ) _ { n \in \mathbf{Z} }$ ; confidence 0.531
182. ; $\operatorname { log } \operatorname { max } \{ | P _ { i } ( \omega ) | \} \geq - d ^ { \mu } ( c _ { 1 } d + c _ { 2 } h ) + c _ { 3 } d ^ { \nu } \operatorname { log } \frac { \rho } { | \omega | },$ ; confidence 0.531
183. ; $\frac { d ^ { 2 } x ^ { i } } { d t ^ { 2 } } + g ^ { i } ( x , \dot { x } , t ) = 0 , \quad i = 1 , \dots , n,$ ; confidence 0.531
184. ; $A = ( a _ { ij} )$ ; confidence 0.531
185. ; $\tilde { U } \rightarrow G ( x )$ ; confidence 0.531
186. ; $\sigma _ { \text{l}} ( A ) = \sigma _ { \text{le} } ( A ) = \sigma _ { \text{re} } ( A ) = \sigma _ { \text{Te} } ( A ) = S ^ { 3 }$ ; confidence 0.531
187. ; $i \in \{ 0 , \dots , n \}$ ; confidence 0.531
188. ; $X _ { ( v , w ) } ^ { ( 1 ) } = \operatorname { Hom } ( T _ { v } V \rightarrow T _ { w } W )$ ; confidence 0.531
189. ; $A$ ; confidence 0.531
190. ; $h _ { 1 } , h _ { 2 } \in \operatorname {QS} ( \mathbf{R} )$ ; confidence 0.531
191. ; $\mathcal{T} = \bigcap _ { N \geq 0 } \sigma ( X _ { n } : | n | \geq N ).$ ; confidence 0.531
192. ; $\mathcal{P} = \{ \mathsf{P} _ { p } : p \in [ 0,1 ] \}$ ; confidence 0.531
193. ; $( q _ { 1 } , \dots , q _ { n } )$ ; confidence 0.531
194. ; $R _ { 2 }$ ; confidence 0.531
195. ; $\sigma _{X}$ ; confidence 0.531
196. ; $\| T _ { n } ( x ) \| \geq c \| x \|$ ; confidence 0.531
197. ; $\left( c \frac { \hbar } { c } \vec { \alpha } \cdot \vec { \nabla } + \vec { \beta } m _{0} c ^ { 2 } \right) \Phi = i \hbar \frac { \partial \Phi } { \partial t }.$ ; confidence 0.531
198. ; $3 \cdot 4 , \ldots , 8 \cdot 9$ ; confidence 0.530
199. ; $S _ { + } ^ { 2 } : = \left\{ \alpha : \alpha \in S ^ { 2 } , \alpha \cdot e _ { 3 } > 0 \right\}$ ; confidence 0.530
200. ; $B \in M _ { m \times n } ( K )$ ; confidence 0.530
201. ; $\lambda _ { d } > 0$ ; confidence 0.530
202. ; $( p _ {*} , q _ { * } )$ ; confidence 0.530
203. ; $\mathcal{S} ( \mathbf{R} ^ { n } )$ ; confidence 0.530
204. ; $a b \in P \Rightarrow a \in P \text { or } b \in P.$ ; confidence 0.530
205. ; $n = 0,1,2 , \dots$ ; confidence 0.530
206. ; $\partial _ { t } \int \phi ( v )\, f d v + \operatorname { div } _ { x } \int v \phi ( v )\, f d v = 0,$ ; confidence 0.530
207. ; $\overline { \emptyset } = \emptyset$ ; confidence 0.530
208. ; $x _ { n } \rightarrow x ^ { * }$ ; confidence 0.529
209. ; $b _ { q ,\, s }$ ; confidence 0.529
210. ; $S _ { H _ { i } }$ ; confidence 0.529
211. ; $\partial _ { k } ( m ) = \left( \begin{array} { c } { a _ { k } } \\ { k - 1 } \end{array} \right) + \left( \begin{array} { c } { a _ { k } - 1 } \\ { k - 2 } \end{array} \right) + \ldots + \left( \begin{array} { c } { a _ { 1 } } \\ { 0 } \end{array} \right).$ ; confidence 0.529
212. ; $v : X \rightarrow Y$ ; confidence 0.529
213. ; $D a = 0$ ; confidence 0.529
214. ; $\operatorname{log} ( t ( n ) )$ ; confidence 0.529
215. ; $D ^ { 0 } = \{ z : | z _ { 1 } | + \ldots + | z _ { n } | < 1 \}$ ; confidence 0.529
216. ; $n_{2}$ ; confidence 0.529
217. ; $\operatorname{DG} ( r , m )$ ; confidence 0.529
218. ; $\{ e _ { 1 } ^ { i } \}$ ; confidence 0.529
219. ; $\operatorname{arg} z = \varphi$ ; confidence 0.529
220. ; $F / N$ ; confidence 0.529
221. ; $F _{Y}$ ; confidence 0.529
222. ; $L ^ { 2 } ( \mu ) = \sum _ { n = 0 } ^ { \infty } G _ { n }$ ; confidence 0.529
223. ; $\sum _ { n = 1 } ^ { \infty } N _ { p } ( k _ { n } ) N _ { p^{\prime} } ( l _ { n } ) < \infty$ ; confidence 0.528
224. ; $A _ { \text{W} }$ ; confidence 0.528
225. ; $\mathcal{T} ^ { - } = \bigcap _ { N \geq 0 } \sigma ( X _ { n } : n \leq - N )$ ; confidence 0.528
226. ; $z \in \mathcal{D}$ ; confidence 0.528
227. ; $H ( X ) = \operatorname { sup } _ { T \neq 0 } \sqrt { \frac { G _{X} ( T ) } { G _ { X } ^ { \sigma } ( T ) } }$ ; confidence 0.528
228. ; $\operatorname { PSL } _ { n } ( K )$ ; confidence 0.528
229. ; $J _ { x }$ ; confidence 0.528
230. ; $a _ { 1 } = 1$ ; confidence 0.528
231. ; $w / p$ ; confidence 0.528
232. ; $d _{j}$ ; confidence 0.528
233. ; $\left. ( 1 - P ) | \phi \rangle \middle/ \| ( 1 - P ) | \phi \rangle \|\right.$ ; confidence 0.528
234. ; $J = J ^ { * }$ ; confidence 0.528
235. ; $\pi _ { r } ^ { k } : E ^ { k } \rightarrow E ^ { r }$ ; confidence 0.528
236. ; $= \int u \left( x + \frac { y } { 2 } \right) \overline{v} \left( x - \frac { y } { 2 } \right) e ^ { - 2 i \pi y \cdot \xi } d y.$ ; confidence 0.528
237. ; $R _{*} ( \mathfrak{b} ) H _ { R } \subset H _ { R }$ ; confidence 0.528
238. ; $( \text { a.c. } A ^ { \alpha } f ) _ { \alpha = 0 } = f$ ; confidence 0.528
239. ; $g \ni p$ ; confidence 0.528
240. ; $x _ { n } \leq z \leq y _ { n }$ ; confidence 0.528
241. ; $V _ { \overline{0} }$ ; confidence 0.528
242. ; $\mathbf{x} = ( x ^ { k - 1 } , x ^ { k - 2 } , \dots , 1 )$ ; confidence 0.528
243. ; $S _ { u v }$ ; confidence 0.528
244. ; $u > 0$ ; confidence 0.528
245. ; $\sum _ { r \in R _ { W } } F _ { r } = d _ { W }$ ; confidence 0.528
246. ; $\beta _ { 0 } , \dots , \beta _ { r }$ ; confidence 0.528
247. ; $N _ { k } ( t ) = 1 _ { ( X _ { k } \leq t ,\, I _ { k } ( X _ { k } ) = 1 ) }$ ; confidence 0.528
248. ; $p = 1 , \dots , P$ ; confidence 0.528
249. ; $> 2 / 3$ ; confidence 0.528
250. ; $A _ { i \alpha }$ ; confidence 0.527
251. ; $k$ ; confidence 0.527
252. ; $- i \infty$ ; confidence 0.527
253. ; $z _ { i } ^ { n }$ ; confidence 0.527
254. ; $s _ { \lambda } = \operatorname { det } ( h _ { \lambda _ { i } - i + j } ),$ ; confidence 0.527
255. ; $\left\{ \begin{array} { l } { u _ { t } - u _ { x x } = 0 , \quad 0 < x < 1,0 < t, } \\ { u ( 0 , t ) = u ( 1 , t ) = 0 , \quad 0 < t, } \\ { u ( x , 0 ) = u ^ { 0 } ( x ) , \quad 0 \leq x \leq 1. } \end{array} \right.$ ; confidence 0.527
256. ; $x ^ { \prime } \in X ^ { \prime }$ ; confidence 0.527
257. ; $T ^ { * }$ ; confidence 0.527
258. ; $\mathfrak { M } = ( X , \{ R _ { i } \} _ { 1 \leq i \leq r } )$ ; confidence 0.527
259. ; $S _ { 1 } = \pm 1 , \dots , S _ { N } = \pm 1$ ; confidence 0.527
260. ; $\mathsf{E} ( N ) = \mathsf{E} ( S _ { N } ) ( \mathsf{E} ( Y ) ) ^ { - 1 }$ ; confidence 0.527
261. ; $\mathbf{X}_{4}$ ; confidence 0.527
262. ; $\mathsf{E} ( \operatorname { exp } ( - u \alpha _ { x } ) ) =$ ; confidence 0.527
263. ; $\sum _ { n = 0 } ^ { \infty } a _ { n } n_{0} ^ { n } P _ { n } ( \operatorname { cos } \theta )$ ; confidence 0.527
264. ; $\left( \frac { 1 - z _ { j } \overline {z} _ { k } } { 1 - w _ { j } \overline { w } _ { k } } \right) _ { j , k = 1 } ^ { n }$ ; confidence 0.527
265. ; $\mathbf{Z}_{4}$ ; confidence 0.527
266. ; $\Omega \times \mathbf{R} ^ { n }$ ; confidence 0.527
267. ; $t ^ { n + 1 }$ ; confidence 0.527
268. ; $K = \hat { K }$ ; confidence 0.527
269. ; $x ^ { 1 } , \ldots , x ^ { p }$ ; confidence 0.527
270. ; $D _ { n } ( x , a ) = u ^ { n } + \frac { a ^ { n } } { u ^ { n } }.$ ; confidence 0.526
271. ; $\operatorname {DTIME}[t(n)]$ ; confidence 0.526
272. ; $\mu ( A , B ) = ( - 1 ) ^ { | B | - | A | }$ ; confidence 0.526
273. ; $p _ { 1 } = 1.8412 \ldots$ ; confidence 0.526
274. ; $S _ { n } = Y _ { 1 } + \ldots + Y _ { n }$ ; confidence 0.526
275. ; $- i \partial / \partial x _ { j }$ ; confidence 0.526
276. ; $( X _ { n } ) _ { n \geq k + m + 1}$ ; confidence 0.526
277. ; $\leq n$ ; confidence 0.526
278. ; $K \subseteq \mathbf{R} ^ { n }$ ; confidence 0.526
279. ; $\psi _ { x } ( \cdot )$ ; confidence 0.526
280. ; $a _ { m }$ ; confidence 0.526
281. ; $m / n$ ; confidence 0.526
282. ; $\langle e _ { i } , e _ { i } \rangle = 1$ ; confidence 0.526
283. ; $p^{\sum _ { j = 1 } ^ { n } x _ { j }} (1-p)^{ n - \sum _ { j = 1 } ^ { n } x _ { j }}$ ; confidence 0.526
284. ; $d > c$ ; confidence 0.525
285. ; $e : X \rightarrow G A \in E \text { and } \mathcal{M} = ( m _ { i } : A \rightarrow A _ { i } ) _ { I } \in \mathfrak { M }$ ; confidence 0.525
286. ; $E = \operatorname{GF} ( q ^ { n } )$ ; confidence 0.525
287. ; $Z _ { \mathcal{A} ( p ) } ( y ) = \prod _ { r = 1 } ^ { \infty } ( 1 - y ^ { r } ) ^ { - 1 } = \sum _ { n = 0 } ^ { \infty } \mathbf{p} ( n ) y ^ { n },$ ; confidence 0.525
288. ; $\mathcal{C} ^ { \circ }$ ; confidence 0.525
289. ; $\beta _ { 1 } , \ldots , \beta _ { n }$ ; confidence 0.525
290. ; $V _ { \varepsilon } = 2 \Delta _ { 2 \varepsilon} - \Delta _ { \varepsilon }$ ; confidence 0.525
291. ; $\frac { \partial } { \partial \lambda } u ( z , \lambda _ { i } ) = ( \operatorname { log } z ) z ^ { \lambda_i } +\dots \dots$ ; confidence 0.525
292. ; $C _ { \Omega } ( L _ { n } )$ ; confidence 0.525
293. ; $T _ { 1 } , \dots , T _ { j }$ ; confidence 0.525
294. ; $( 5 \times 10 ^ { 6 } r ) ^ { s }$ ; confidence 0.525
295. ; $( F _ { n } > 0 , G _ { n } > 0 ),$ ; confidence 0.525
296. ; $v \in V \Gamma$ ; confidence 0.525
297. ; $m ( A ) - k m ( B ) \leq m ( A \bigcup B ) \leq m ( A ) + k m ( B )$ ; confidence 0.525
298. ; $\operatorname{exp} c _ { n } d ^ { n } ( d + h ) q$ ; confidence 0.525
299. ; $\operatorname{max} h_{j} \leq 1$ ; confidence 0.525
300. ; $\operatorname{PSH} ( D )$ ; confidence 0.525
Maximilian Janisch/latexlist/latex/NoNroff/56. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/NoNroff/56&oldid=45374