Difference between revisions of "User:Maximilian Janisch/latexlist/latex/NoNroff/39"
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7. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c130070217.png ; $\epsilon = \operatorname { ord } _ { T } ( d x / d \tau )$ ; confidence 0.829 | 7. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c130070217.png ; $\epsilon = \operatorname { ord } _ { T } ( d x / d \tau )$ ; confidence 0.829 | ||
| − | 8. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120300/b12030086.png ; $\int _ { \mathbf{R} ^ { N } } | g ( y ) | ^ { 2 } d y = \int _ { Y ^ { \prime } } \sum _ { m = 1 } ^ { \infty } | g _ { m } ( \eta ) | ^ { 2 } d \eta.$ ; confidence 0.829 | + | 8. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120300/b12030086.png ; $\int _ { \mathbf{R} ^ { N } } | g ( y ) | ^ { 2 } d y = \int _ { Y ^ { \prime } } \sum _ { m = 1 } ^ { \infty } | \hat{g} _ { m } ( \eta ) | ^ { 2 } d \eta.$ ; confidence 0.829 |
9. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170197.png ; $\pi_2 ( K )$ ; confidence 0.829 | 9. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170197.png ; $\pi_2 ( K )$ ; confidence 0.829 | ||
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10. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120100/l12010076.png ; $\sum _ { j \geq 1 } \int _ { \mathbf{R} ^ { n } } | \nabla f _ { j } ( x ) | ^ { 2 } d x \geq K _ { n } \int _ { \mathbf{R} ^ { n } } \rho ( x ) ^ { 1 + 2 / n } d x.$ ; confidence 0.829 | 10. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120100/l12010076.png ; $\sum _ { j \geq 1 } \int _ { \mathbf{R} ^ { n } } | \nabla f _ { j } ( x ) | ^ { 2 } d x \geq K _ { n } \int _ { \mathbf{R} ^ { n } } \rho ( x ) ^ { 1 + 2 / n } d x.$ ; confidence 0.829 | ||
| − | 11. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m130260144.png ; $= \{ ( m , b ) \in M ( A ) \ | + | 11. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m130260144.png ; $= \{ ( m , b ) \in M ( A ) \bigoplus B : \pi ( m ) = \tau ( b ) \}.$ ; confidence 0.828 |
12. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220101.png ; $F _ { \infty } \in \operatorname { Gal } ( \mathbf{C} / \mathbf{R})$ ; confidence 0.828 | 12. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220101.png ; $F _ { \infty } \in \operatorname { Gal } ( \mathbf{C} / \mathbf{R})$ ; confidence 0.828 | ||
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14. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130410/s1304107.png ; $p ^ { ( i ) }$ ; confidence 0.828 | 14. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130410/s1304107.png ; $p ^ { ( i ) }$ ; confidence 0.828 | ||
| − | 15. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b120400118.png ; $ | + | 15. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b120400118.png ; $p : \mathfrak { b } \rightarrow \mathbf{C}$ ; confidence 0.828 |
| − | 16. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a1303203.png ; $E _ { \theta } ( N ) = \sum _ { n = 1 } ^ { \infty } n P _ { \theta } ( N = n ) = \sum _ { n = 0 } ^ { \infty } P _ { \theta } ( N > n ).$ ; confidence 0.828 | + | 16. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a1303203.png ; $\mathsf{E} _ { \theta } ( N ) = \sum _ { n = 1 } ^ { \infty } n \mathsf{P} _ { \theta } ( N = n ) = \sum _ { n = 0 } ^ { \infty } \mathsf{P} _ { \theta } ( N > n ).$ ; confidence 0.828 |
17. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110100/b110100387.png ; $K _ { 2 }$ ; confidence 0.828 | 17. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110100/b110100387.png ; $K _ { 2 }$ ; confidence 0.828 | ||
| − | 18. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110110/r11011056.png ; $x ^ { | + | 18. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110110/r11011056.png ; $x ^ { n } > y$ ; confidence 0.828 |
19. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120140/t12014072.png ; $\operatorname { dist } _ { L^\infty } ( u , H ^ { \infty } ) < 1$ ; confidence 0.828 | 19. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120140/t12014072.png ; $\operatorname { dist } _ { L^\infty } ( u , H ^ { \infty } ) < 1$ ; confidence 0.828 | ||
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24. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090990/s09099047.png ; $f ( z ) = \sum _ { n = 0 } ^ { \infty } a _ { n } z ^ { n }$ ; confidence 0.828 | 24. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090990/s09099047.png ; $f ( z ) = \sum _ { n = 0 } ^ { \infty } a _ { n } z ^ { n }$ ; confidence 0.828 | ||
| − | 25. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120070/c12007066.png ; $Z ( \alpha ) = 1 _ { Z }$ ; confidence 0.828 | + | 25. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120070/c12007066.png ; $Z ( \alpha ) = 1 _ { \mathbf{Z} }$ ; confidence 0.828 |
26. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120040/b12004021.png ; $e > 0$ ; confidence 0.828 | 26. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120040/b12004021.png ; $e > 0$ ; confidence 0.828 | ||
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29. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130050/q130050103.png ; $\operatorname{QS} ( \mathbf{T} , \mathbf{C} )$ ; confidence 0.828 | 29. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130050/q130050103.png ; $\operatorname{QS} ( \mathbf{T} , \mathbf{C} )$ ; confidence 0.828 | ||
| − | 30. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120260/d12026034.png ; $\ | + | 30. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120260/d12026034.png ; $\mathsf{P} \{ \operatorname { sup } _ { t } w ( t ) < z \}$ ; confidence 0.828 |
31. https://www.encyclopediaofmath.org/legacyimages/z/z120/z120010/z12001055.png ; $p ^ { ( p ^ { m } - 1 ) / 2 }$ ; confidence 0.828 | 31. https://www.encyclopediaofmath.org/legacyimages/z/z120/z120010/z12001055.png ; $p ^ { ( p ^ { m } - 1 ) / 2 }$ ; confidence 0.828 | ||
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37. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130190/b1301902.png ; $| \zeta ( 1 / 2 + i t ) |$ ; confidence 0.827 | 37. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130190/b1301902.png ; $| \zeta ( 1 / 2 + i t ) |$ ; confidence 0.827 | ||
| − | 38. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120120/d12012031.png ; $\Phi : O G \rightarrow A C$ ; confidence 0.827 | + | 38. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120120/d12012031.png ; $\Phi : O G \rightarrow A \mathcal{C}$ ; confidence 0.827 |
| − | 39. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032076.png ; $N = A ^ {r |s} | + | 39. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032076.png ; $N = A ^ {r |s} $ ; confidence 0.827 |
40. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j13004014.png ; $V _ { L } ( t )$ ; confidence 0.827 | 40. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j13004014.png ; $V _ { L } ( t )$ ; confidence 0.827 | ||
| − | 41. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040490/f04049042.png ; $\ | + | 41. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040490/f04049042.png ; $\overline{Y} = \sum _ { j } Y _ { j } / n$ ; confidence 0.827 |
42. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130270/a13027080.png ; $X _ { n } \subset X _ { n + 1} $ ; confidence 0.827 | 42. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130270/a13027080.png ; $X _ { n } \subset X _ { n + 1} $ ; confidence 0.827 | ||
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45. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120290/d12029058.png ; $\sum _ { n = 1 } ^ { \infty } \varphi ( q _ { n } ) f ( q _ { n } )$ ; confidence 0.827 | 45. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120290/d12029058.png ; $\sum _ { n = 1 } ^ { \infty } \varphi ( q _ { n } ) f ( q _ { n } )$ ; confidence 0.827 | ||
| − | 46. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130280/f13028028.png ; $\mathbf{c} ^ { T } \mathbf{x} \in \ | + | 46. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130280/f13028028.png ; $\mathbf{c} ^ { \text{T} } \mathbf{x} \in \widetilde { G }$ ; confidence 0.827 |
47. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120020/b12002016.png ; $\operatorname { lim } _ { n \rightarrow \infty } \frac { n ^ { 1 / 4 } } { ( \operatorname { log } n ) ^ { 1 / 2 } } \frac { \| \alpha _ { n } + \beta _ { n } \| } { \| \alpha _ { n } \| ^ { 1 / 2 } } = 1 \text{ a.s.},$ ; confidence 0.827 | 47. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120020/b12002016.png ; $\operatorname { lim } _ { n \rightarrow \infty } \frac { n ^ { 1 / 4 } } { ( \operatorname { log } n ) ^ { 1 / 2 } } \frac { \| \alpha _ { n } + \beta _ { n } \| } { \| \alpha _ { n } \| ^ { 1 / 2 } } = 1 \text{ a.s.},$ ; confidence 0.827 | ||
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53. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130450/s1304506.png ; $\{ ( R _ { i } , S _ { i } ) \} _ { i = 1 } ^ { n }$ ; confidence 0.826 | 53. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130450/s1304506.png ; $\{ ( R _ { i } , S _ { i } ) \} _ { i = 1 } ^ { n }$ ; confidence 0.826 | ||
| − | 54. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023053.png ; $= \int _ { a } ^ { b } [ \frac { \partial L } { \partial y } ( \sigma ^ { 1 } ( x ) ) z ( x ) + \frac { \partial L } { \partial y ^ { \prime } } ( \sigma ^ { 1 } ( x ) ) z ^ { \prime } ( x ) ] d x =$ ; confidence 0.826 | + | 54. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023053.png ; $= \int _ { a } ^ { b } \left[ \frac { \partial L } { \partial y } ( \sigma ^ { 1 } ( x ) ) z ( x ) + \frac { \partial L } { \partial y ^ { \prime } } ( \sigma ^ { 1 } ( x ) ) z ^ { \prime } ( x ) \right] d x =$ ; confidence 0.826 |
| − | 55. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130050/o13005016.png ; $\frac { J - W _ { \Theta } ( z ) J W _ { \Theta } ( w ) ^ { * } } { z - \overline { w } } = 2 i K ^ { * } ( T - z I ) ^ { - 1 } ( T ^ { * } - \overline { w } | + | 55. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130050/o13005016.png ; $\frac { J - W _ { \Theta } ( z ) J W _ { \Theta } ( w ) ^ { * } } { z - \overline { w } } = 2 i K ^ { * } ( T - z I ) ^ { - 1 } ( T ^ { * } - \overline { w } I ) ^ { - 1 } K,$ ; confidence 0.826 |
56. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130030/q13003021.png ; $p _ { 0 } = \| P _ { 0 } \psi \| ^ { 2 }$ ; confidence 0.826 | 56. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130030/q13003021.png ; $p _ { 0 } = \| P _ { 0 } \psi \| ^ { 2 }$ ; confidence 0.826 | ||
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70. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120070/c12007089.png ; $K = \mathcal{Z}$ ; confidence 0.825 | 70. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120070/c12007089.png ; $K = \mathcal{Z}$ ; confidence 0.825 | ||
| − | 71. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v12002024.png ; $ | + | 71. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v12002024.png ; $H_{*} ( X , \mathbf{Q} )$ ; confidence 0.825 |
| − | 72. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o13001043.png ; $\ | + | 72. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o13001043.png ; $\widehat { f } ( \xi ) = \frac { 1 } { ( 2 \pi ) ^ { 3 / 2 } } \int _ { D ^ { \prime } } f ( x ) \overline { u ( x , \xi ) } d x : = \mathcal{F} f.$ ; confidence 0.825 |
73. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130530/s130530104.png ; $S ^ { r - 1 } \subset \mathbf{R} ^ { r }$ ; confidence 0.825 | 73. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130530/s130530104.png ; $S ^ { r - 1 } \subset \mathbf{R} ^ { r }$ ; confidence 0.825 | ||
| − | 74. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130050/e13005014.png ; $E ( \alpha , \beta ) = \partial _ { x } \partial _ { y } - \frac { \beta } { x - y } \partial _ { x } + \frac { \alpha } { x - y } \partial y.$ ; confidence 0.825 | + | 74. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130050/e13005014.png ; $\overline{E} ( \alpha , \beta ) = \partial _ { x } \partial _ { y } - \frac { \beta } { x - y } \partial _ { x } + \frac { \alpha } { x - y } \partial y.$ ; confidence 0.825 |
75. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120090/f12009027.png ; $C _ { \epsilon } > 0$ ; confidence 0.825 | 75. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120090/f12009027.png ; $C _ { \epsilon } > 0$ ; confidence 0.825 | ||
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84. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120010/c12001031.png ; $T : \mathbf{P} ^ { m } \backslash X \rightarrow \mathbf{P} ^ { n }$ ; confidence 0.824 | 84. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120010/c12001031.png ; $T : \mathbf{P} ^ { m } \backslash X \rightarrow \mathbf{P} ^ { n }$ ; confidence 0.824 | ||
| − | 85. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035000/e035000135.png ; $\operatorname { lim } _ { k \rightarrow \infty } \frac { S ( T ^ { k } , a f ( \epsilon ) ^ { k } ) } { k } = 2 \mathcal{H} _ { \epsilon } ^ { \prime } ( \xi )$ ; confidence 0.824 | + | 85. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035000/e035000135.png ; $\operatorname { lim } _ { k \rightarrow \infty } \frac { S ( T ^ { k } , a f ( \epsilon ) ^ { k } ) } { k } = 2 \mathcal{H} _ { \epsilon } ^ { \prime } ( \xi ),$ ; confidence 0.824 |
86. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w12007050.png ; $\sigma : \mathbf{R} ^ { 2 n } \rightarrow \mathbf{C}$ ; confidence 0.824 | 86. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w12007050.png ; $\sigma : \mathbf{R} ^ { 2 n } \rightarrow \mathbf{C}$ ; confidence 0.824 | ||
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93. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120130/t12013080.png ; $x , y \in \mathbf{R} ^ { l + 1 }$ ; confidence 0.823 | 93. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120130/t12013080.png ; $x , y \in \mathbf{R} ^ { l + 1 }$ ; confidence 0.823 | ||
| − | 94. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130100/b13010021.png ; $T ( z ) = \langle T k _ { z } , k _ { z } \rangle.$ ; confidence 0.823 | + | 94. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130100/b13010021.png ; $\widetilde{T} ( z ) = \langle T k _ { z } , k _ { z } \rangle.$ ; confidence 0.823 |
95. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120270/b12027072.png ; $\{ u _ { j } \}$ ; confidence 0.823 | 95. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120270/b12027072.png ; $\{ u _ { j } \}$ ; confidence 0.823 | ||
| − | 96. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096910/v09691026.png ; $\ | + | 96. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096910/v09691026.png ; $\overline{h} ( x )$ ; confidence 0.823 |
| − | 97. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110500/a11050011.png ; $Q _ { p }$ ; confidence 0.823 | + | 97. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110500/a11050011.png ; $\mathbf{Q} _ { p }$ ; confidence 0.823 |
98. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120130/p12013035.png ; $n \rightarrow \infty$ ; confidence 0.823 | 98. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120130/p12013035.png ; $n \rightarrow \infty$ ; confidence 0.823 | ||
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102. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m130260176.png ; $\mathbf{C M} _ { n } = C _ { 0 } ( ]0,1 ] ) \otimes \mathbf{M} _ { n }$ ; confidence 0.823 | 102. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m130260176.png ; $\mathbf{C M} _ { n } = C _ { 0 } ( ]0,1 ] ) \otimes \mathbf{M} _ { n }$ ; confidence 0.823 | ||
| − | 103. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120150/d12015017.png ; $( v , k , \lambda , n ) = ( \frac { q ^ { d + 1 } - 1 } { q - 1 } , \frac { q ^ { d } - 1 } { q - 1 } , \frac { q ^ { d - 1 } - 1 } { q - 1 } , q ^ { d - 1 } ),$ ; confidence 0.823 | + | 103. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120150/d12015017.png ; $( v , k , \lambda , n ) = \left( \frac { q ^ { d + 1 } - 1 } { q - 1 } , \frac { q ^ { d } - 1 } { q - 1 } , \frac { q ^ { d - 1 } - 1 } { q - 1 } , q ^ { d - 1 } \right) ,$ ; confidence 0.823 |
| − | 104. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130070/i13007039.png ; $M : = \{ \theta : \theta \in \mathbf{C} ^ { 3 } , \theta . \theta = k ^ { 2_0 } \}$ ; confidence 0.823 | + | 104. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130070/i13007039.png ; $M : = \left\{ \theta : \theta \in \mathbf{C} ^ { 3 } , \theta . \theta = k ^ { 2_0 } \right\}$ ; confidence 0.823 |
105. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130180/m13018068.png ; $y \leq z$ ; confidence 0.823 | 105. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130180/m13018068.png ; $y \leq z$ ; confidence 0.823 | ||
| − | 106. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w12007018.png ; $\ | + | 106. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w12007018.png ; $\mathbf{p} _ { k }$ ; confidence 0.823 |
107. https://www.encyclopediaofmath.org/legacyimages/v/v110/v110060/v11006013.png ; $D = \frac { E h ^ { 3 } } { 12 ( 1 - \nu ^ { 2 } ) }$ ; confidence 0.823 | 107. https://www.encyclopediaofmath.org/legacyimages/v/v110/v110060/v11006013.png ; $D = \frac { E h ^ { 3 } } { 12 ( 1 - \nu ^ { 2 } ) }$ ; confidence 0.823 | ||
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109. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120140/l12014015.png ; $p ( T ) x = 0$ ; confidence 0.823 | 109. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120140/l12014015.png ; $p ( T ) x = 0$ ; confidence 0.823 | ||
| − | 110. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120020/q12002031.png ; $C = \operatorname { Fun } _ { q } ( C )$ ; confidence 0.823 | + | 110. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120020/q12002031.png ; $\mathcal{C} = \operatorname { Fun } _ { q } ( C )$ ; confidence 0.823 |
111. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130030/o13003051.png ; $Y _ { j } = - \sqrt { 3 } \lambda _ { j } ( j = 1,2,3 ) , Y _ { 4 } = \sqrt { 3 } \lambda _ { 8 }$ ; confidence 0.822 | 111. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130030/o13003051.png ; $Y _ { j } = - \sqrt { 3 } \lambda _ { j } ( j = 1,2,3 ) , Y _ { 4 } = \sqrt { 3 } \lambda _ { 8 }$ ; confidence 0.822 | ||
| Line 242: | Line 242: | ||
121. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130020/k13002022.png ; $T = \sum _ { t } t ( t - 1 ) / 2$ ; confidence 0.822 | 121. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130020/k13002022.png ; $T = \sum _ { t } t ( t - 1 ) / 2$ ; confidence 0.822 | ||
| − | 122. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120030/m120030106.png ; $\frac { 1 } { n } \sum _ { i = 1 } ^ { n } \rho ( \frac { r_i } { s } ) = K,$ ; confidence 0.822 | + | 122. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120030/m120030106.png ; $\frac { 1 } { n } \sum _ { i = 1 } ^ { n } \rho \left( \frac { r_i } { s } \right) = K,$ ; confidence 0.822 |
123. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130070/e13007054.png ; $f ^ { \prime } ( x _ { m } ) = m$ ; confidence 0.822 | 123. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130070/e13007054.png ; $f ^ { \prime } ( x _ { m } ) = m$ ; confidence 0.822 | ||
| Line 252: | Line 252: | ||
126. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m13025055.png ; $\mathcal{M} _ { 2 } ( \mathbf{R} ^ { n } )$ ; confidence 0.821 | 126. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m13025055.png ; $\mathcal{M} _ { 2 } ( \mathbf{R} ^ { n } )$ ; confidence 0.821 | ||
| − | 127. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a1103006.png ; $ | + | 127. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a1103006.png ; $H_{*} \Omega X$ ; confidence 0.821 |
128. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090670/s09067080.png ; $V ^ { * } = \operatorname { Hom } ( V , \mathbf{R} )$ ; confidence 0.821 | 128. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090670/s09067080.png ; $V ^ { * } = \operatorname { Hom } ( V , \mathbf{R} )$ ; confidence 0.821 | ||
| Line 262: | Line 262: | ||
131. https://www.encyclopediaofmath.org/legacyimages/x/x120/x120010/x12001082.png ; $S = Q ^ { * } G$ ; confidence 0.821 | 131. https://www.encyclopediaofmath.org/legacyimages/x/x120/x120010/x12001082.png ; $S = Q ^ { * } G$ ; confidence 0.821 | ||
| − | 132. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080182.png ; $( \overline { \partial } + \mu \partial + | + | 132. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080182.png ; $( \overline { \partial } + \mu \partial + \overline{L}) \psi = 0$ ; confidence 0.821 |
133. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120020/q1200203.png ; $\operatorname{SL} ( n , \mathbf{C} )$ ; confidence 0.821 | 133. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120020/q1200203.png ; $\operatorname{SL} ( n , \mathbf{C} )$ ; confidence 0.821 | ||
| − | 134. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l12012047.png ; $O _ { K , \ | + | 134. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l12012047.png ; $O _ { K , \text{p} }$ ; confidence 0.821 |
135. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110020/l11002062.png ; $x ^ { - } = x \wedge e$ ; confidence 0.821 | 135. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110020/l11002062.png ; $x ^ { - } = x \wedge e$ ; confidence 0.821 | ||
| Line 274: | Line 274: | ||
137. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120300/c120300110.png ; $\mathcal{O} _ { 2 }$ ; confidence 0.821 | 137. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120300/c120300110.png ; $\mathcal{O} _ { 2 }$ ; confidence 0.821 | ||
| − | 138. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130040/k13004013.png ; $x _ { i } = \left\{ \begin{array} { l l } { 1 } & { \text { if } a _ { i } \leq c - \sum _ { j = 1 } ^ { i - 1 } a _ { j } x _ { j } } | + | 138. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130040/k13004013.png ; $x _ { i } = \left\{ \begin{array} { l l } { 1 } & { \text { if } a _ { i } \leq c - \sum _ { j = 1 } ^ { i - 1 } a _ { j } x _ { j }, } \\ { 0 } & { \text { otherwise. } } \end{array} \right.$ ; confidence 0.821 |
139. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130150/t1301509.png ; $f \in L ^ { \infty } ( \mathbf{T} )$ ; confidence 0.821 | 139. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130150/t1301509.png ; $f \in L ^ { \infty } ( \mathbf{T} )$ ; confidence 0.821 | ||
| − | 140. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023270/c02327026.png ; $r ( A \ | + | 140. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023270/c02327026.png ; $r ( A \bigcup B ) + r ( A \bigcap B ) \leq r ( A ) + r ( B ).$ ; confidence 0.820 |
141. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130230/a1302308.png ; $\operatorname { lim } _ { n \rightarrow \infty } ( ( 1 - Q ) ( I - P ) ) ^ { n } f = ( I - P _ { \overline{U + V} } ) f$ ; confidence 0.820 | 141. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130230/a1302308.png ; $\operatorname { lim } _ { n \rightarrow \infty } ( ( 1 - Q ) ( I - P ) ) ^ { n } f = ( I - P _ { \overline{U + V} } ) f$ ; confidence 0.820 | ||
| Line 292: | Line 292: | ||
146. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w12007031.png ; $\xi \in \mathbf{C} ^ { k }$ ; confidence 0.820 | 146. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w12007031.png ; $\xi \in \mathbf{C} ^ { k }$ ; confidence 0.820 | ||
| − | 147. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m13025021.png ; $S _ { \Gamma } ^ { \prime } ( \mathbf{R} ^ { n } )$ ; confidence 0.820 | + | 147. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m13025021.png ; $\mathcal{S} _ { \Gamma } ^ { \prime } ( \mathbf{R} ^ { n } )$ ; confidence 0.820 |
148. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120040/n12004013.png ; $A _ { N } ( F f \circ s \circ f ^ { - 1 } ) = ( G f ) \circ A _ { M } ( s ) \circ f ^ { - 1 }$ ; confidence 0.820 | 148. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120040/n12004013.png ; $A _ { N } ( F f \circ s \circ f ^ { - 1 } ) = ( G f ) \circ A _ { M } ( s ) \circ f ^ { - 1 }$ ; confidence 0.820 | ||
| Line 304: | Line 304: | ||
152. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130010/r1300106.png ; $a _ { 0 } ( 1 - x _ { 0 } f ) + a _ { 1 } f _ { 1 } + \ldots + a _ { m } f _ { m } = 1.$ ; confidence 0.820 | 152. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130010/r1300106.png ; $a _ { 0 } ( 1 - x _ { 0 } f ) + a _ { 1 } f _ { 1 } + \ldots + a _ { m } f _ { m } = 1.$ ; confidence 0.820 | ||
| − | 153. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i130030148.png ; $\operatorname{Ch} : K _ { 0 } ( A ) \rightarrow HC _ { 2 n } ( A )$ ; confidence 0.820 | + | 153. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i130030148.png ; $\operatorname{Ch} : K _ { 0 } ( A ) \rightarrow \operatorname{HC} _ { 2 n } ( A )$ ; confidence 0.820 |
154. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015029.png ; $\operatorname { Der } ( \mathfrak { g } )$ ; confidence 0.820 | 154. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015029.png ; $\operatorname { Der } ( \mathfrak { g } )$ ; confidence 0.820 | ||
| Line 312: | Line 312: | ||
156. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t12005021.png ; $\Sigma ^ { i , j } ( f ) = \Sigma ^ { j } ( f | _ { \Sigma ^ { i } ( f ) } ).$ ; confidence 0.820 | 156. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t12005021.png ; $\Sigma ^ { i , j } ( f ) = \Sigma ^ { j } ( f | _ { \Sigma ^ { i } ( f ) } ).$ ; confidence 0.820 | ||
| − | 157. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130030/z13003073.png ; $b$ ; confidence 0.820 | + | 157. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130030/z13003073.png ; $b,$ ; confidence 0.820 |
158. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130130/p13013058.png ; $p _ { \pi }$ ; confidence 0.820 | 158. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130130/p13013058.png ; $p _ { \pi }$ ; confidence 0.820 | ||
| Line 332: | Line 332: | ||
166. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031280/d031280172.png ; $i \in \mathbf{Z}$ ; confidence 0.819 | 166. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031280/d031280172.png ; $i \in \mathbf{Z}$ ; confidence 0.819 | ||
| − | 167. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130090/b1300908.png ; $F ( u ) = \int _ { \mathbf{R} } ( u ^ { 2 } + \frac { 1 } { 3 } u ^ { 3 } ) d x$ ; confidence 0.819 | + | 167. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130090/b1300908.png ; $F ( u ) = \int _ { \mathbf{R} } \left( u ^ { 2 } + \frac { 1 } { 3 } u ^ { 3 } \right) d x$ ; confidence 0.819 |
168. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130150/t13015062.png ; $C ^ { * } ( S ) \otimes _ { \delta } \mathcal{C} _ { 0 } ( S )$ ; confidence 0.819 | 168. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130150/t13015062.png ; $C ^ { * } ( S ) \otimes _ { \delta } \mathcal{C} _ { 0 } ( S )$ ; confidence 0.819 | ||
| Line 342: | Line 342: | ||
171. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120190/e12019010.png ; $p , v \in X$ ; confidence 0.819 | 171. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120190/e12019010.png ; $p , v \in X$ ; confidence 0.819 | ||
| − | 172. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014044.png ; $X \mapsto \underline{\operatorname { dim }} X = ( \operatorname { dim } _ { K } X _ { j } ) _ { j \in Q _ { 0 } }$ ; confidence 0.819 | + | 172. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014044.png ; $\mathbf{X} \mapsto \underline{\operatorname { dim }} \mathbf{X} = ( \operatorname { dim } _ { K } X _ { j } ) _ { j \in Q _ { 0 } }$ ; confidence 0.819 |
173. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055780/k05578013.png ; $F ( \tau ) = \frac { 2 \pi \operatorname { sinh } \pi \tau } { \pi ^ { 2 } | I _ { i \alpha } ( \alpha ) | ^ { 2 } } \times$ ; confidence 0.819 | 173. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055780/k05578013.png ; $F ( \tau ) = \frac { 2 \pi \operatorname { sinh } \pi \tau } { \pi ^ { 2 } | I _ { i \alpha } ( \alpha ) | ^ { 2 } } \times$ ; confidence 0.819 | ||
| Line 350: | Line 350: | ||
175. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120240/f12024085.png ; $\phi ( t _ { 0 } ) = x ( t _ { 0 } )$ ; confidence 0.819 | 175. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120240/f12024085.png ; $\phi ( t _ { 0 } ) = x ( t _ { 0 } )$ ; confidence 0.819 | ||
| − | 176. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120020/h120020148.png ; $\{ \ | + | 176. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120020/h120020148.png ; $\{ \widehat { \phi } ( j + k ) \}_{ j , k \geq 0}$ ; confidence 0.819 |
177. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g12004014.png ; $G _ { 0 } ^ { s } ( \Omega ) = G ^ { s } ( \Omega ) \cap C _ { 0 } ^ { \infty } ( \Omega )$ ; confidence 0.819 | 177. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g12004014.png ; $G _ { 0 } ^ { s } ( \Omega ) = G ^ { s } ( \Omega ) \cap C _ { 0 } ^ { \infty } ( \Omega )$ ; confidence 0.819 | ||
| − | 178. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130620/s130620222.png ; $B \ | + | 178. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130620/s130620222.png ; $B \subseteq A$ ; confidence 0.819 |
179. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120090/m12009036.png ; $Q ( x ) e ^ { i \xi x }$ ; confidence 0.819 | 179. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120090/m12009036.png ; $Q ( x ) e ^ { i \xi x }$ ; confidence 0.819 | ||
| Line 360: | Line 360: | ||
180. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120100/b1201008.png ; $X \equiv ( x _ { 1 } , \dots , x _ { n } )$ ; confidence 0.819 | 180. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120100/b1201008.png ; $X \equiv ( x _ { 1 } , \dots , x _ { n } )$ ; confidence 0.819 | ||
| − | 181. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017030.png ; $R = \int _ { 0 } ^ { + \infty } \beta ( | + | 181. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017030.png ; $R = \int _ { 0 } ^ { + \infty } \beta ( a ) \Pi ( a ) d a,$ ; confidence 0.819 |
| − | 182. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120210/s12021013.png ; $0 \neq \phi \in E ( \lambda , D _ { Y } ) \text { with } \pi ^ { * } \phi \in E ( \mu , D _ { Z } )$ ; confidence 0.819 | + | 182. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120210/s12021013.png ; $0 \neq \phi \in E ( \lambda , D _ { Y } ) \text { with } \pi ^ { * } \phi \in E ( \mu , D _ { Z } ).$ ; confidence 0.819 |
| − | 183. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g130060111.png ; $\{ | + | 183. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g130060111.png ; $\{ a_{i , i} \} _ { i = 1 } ^ { n }$ ; confidence 0.819 |
184. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040790.png ; $g = g ^ { \prime }$ ; confidence 0.819 | 184. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040790.png ; $g = g ^ { \prime }$ ; confidence 0.819 | ||
| Line 370: | Line 370: | ||
185. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010019.png ; $x \notin D ( A )$ ; confidence 0.819 | 185. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010019.png ; $x \notin D ( A )$ ; confidence 0.819 | ||
| − | 186. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m130260152.png ; $b = b ^ { | + | 186. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m130260152.png ; $b = b ^ { * }$ ; confidence 0.818 |
| − | 187. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b1202201.png ; $\partial _ { t } f + v . \nabla _ { x } f = \frac { Q ( f ) } { \varepsilon }$ ; confidence 0.818 | + | 187. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b1202201.png ; $\partial _ { t } f + v . \nabla _ { x } f = \frac { Q ( f ) } { \varepsilon },$ ; confidence 0.818 |
| − | 188. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340167.png ; $\ | + | 188. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340167.png ; $\widetilde { \Sigma } = \Sigma \backslash \cup _ { i = 1,2,3 } U _ { i }$ ; confidence 0.818 |
189. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130080/c13008033.png ; $N _ { A } ( x )$ ; confidence 0.818 | 189. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130080/c13008033.png ; $N _ { A } ( x )$ ; confidence 0.818 | ||
| Line 380: | Line 380: | ||
190. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023270/c02327027.png ; $A \subseteq S$ ; confidence 0.818 | 190. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023270/c02327027.png ; $A \subseteq S$ ; confidence 0.818 | ||
| − | 191. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120030/v12003018.png ; $| \mu _ { | + | 191. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120030/v12003018.png ; $| \mu _ { n } ( E ) | < \varepsilon$ ; confidence 0.818 |
| − | 192. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130230/b1302304.png ; $G : H ] < \infty$ ; confidence 0.818 | + | 192. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130230/b1302304.png ; $[G : H ] < \infty$ ; confidence 0.818 |
193. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012410/a012410123.png ; $2 d$ ; confidence 0.818 | 193. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012410/a012410123.png ; $2 d$ ; confidence 0.818 | ||
| − | 194. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022110/c02211060.png ; $\xi _ { 1 } ^ { 2 } + \ldots + \xi _ { k - m - 1 } ^ { 2 } + \mu _ { 1 } \xi _ { k - m } ^ { 2 } + \ldots + \mu _ { m } \xi _ { k - 1 } ^ { 2 }$ ; confidence 0.818 | + | 194. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022110/c02211060.png ; $\xi _ { 1 } ^ { 2 } + \ldots + \xi _ { k - m - 1 } ^ { 2 } + \mu _ { 1 } \xi _ { k - m } ^ { 2 } + \ldots + \mu _ { m } \xi _ { k - 1 } ^ { 2 },$ ; confidence 0.818 |
| − | 195. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510147.png ; $\sigma ( u ) = \gamma ( u _ { 1 } ) \oplus \ldots \oplus \gamma ( u _ { m } )$ ; confidence 0.818 | + | 195. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510147.png ; $\sigma ( \mathbf{u} ) = \gamma ( u _ { 1 } ) \oplus \ldots \oplus \gamma ( u _ { m } )$ ; confidence 0.818 |
| − | 196. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120190/e120190203.png ; $d ( x , y ) = \sqrt { 1 + x ^ { 2 } } \sqrt { 1 + y ^ { 2 } } - x y$ ; confidence 0.818 | + | 196. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120190/e120190203.png ; $\cosh d ( x , y ) = \sqrt { 1 + x ^ { 2 } } \sqrt { 1 + y ^ { 2 } } - x y$ ; confidence 0.818 |
| − | 197. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120290/s1202909.png ; $\sum _ { k = 1 } ^ { \infty } x _ { n } _ { k }$ ; confidence 0.818 | + | 197. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120290/s1202909.png ; $\sum _ { k = 1 } ^ { \infty } x _ {{ n } _ { k }}$ ; confidence 0.818 |
| − | 198. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120020/i1200202.png ; $f ( x ) = \frac { 1 } { ( \pi x ) ^ { 2 } } \int _ { 0 } ^ { \infty } \tau \operatorname { sinh } ( 2 \pi \tau ) \times | + | 198. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120020/i1200202.png ; $f ( x ) = \frac { 1 } { ( \pi x ) ^ { 2 } } \int _ { 0 } ^ { \infty } \tau \operatorname { sinh } ( 2 \pi \tau ) \times \times \left| \Gamma \left( \frac { 1 } { 2 } - \mu - i \tau \right) \right| ^ { 2 } W _ { \mu , i \tau } ( x ) F ( \tau ) d \tau ;$ ; confidence 0.818 |
| − | 199. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120040/f12004032.png ; $R$ ; confidence 0.818 | + | 199. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120040/f12004032.png ; $\overline{\mathbf{R}}$ ; confidence 0.818 |
200. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130230/b1302302.png ; $\{ H _ { n } \} _ { n = 1 } ^ { \infty }$ ; confidence 0.818 | 200. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130230/b1302302.png ; $\{ H _ { n } \} _ { n = 1 } ^ { \infty }$ ; confidence 0.818 | ||
| Line 402: | Line 402: | ||
201. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120270/a12027055.png ; $W _ { P } ( \rho ) / W _ { P } ( \operatorname { det } _ { \rho } )$ ; confidence 0.818 | 201. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120270/a12027055.png ; $W _ { P } ( \rho ) / W _ { P } ( \operatorname { det } _ { \rho } )$ ; confidence 0.818 | ||
| − | 202. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e13003079.png ; $A ( \Gamma \backslash G ( R ) ) \subset C _ { 0 } ( \Gamma \backslash G ( R ) )$ ; confidence 0.818 | + | 202. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e13003079.png ; $\mathcal{A} ( \Gamma \backslash G ( \mathbf{R} ) ) \subset C _ { 0 } ( \Gamma \backslash G ( \mathbf{R} ) )$ ; confidence 0.818 |
| − | 203. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120020/h120020126.png ; $f \in BMOA = BMO \cap H ^ { 2 }$ ; confidence 0.817 | + | 203. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120020/h120020126.png ; $f \in \operatorname{BMOA} = \operatorname{BMO} \cap H ^ { 2 }$ ; confidence 0.817 |
| − | 204. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120040/l12004013.png ; $\Delta x = x _ { i | + | 204. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120040/l12004013.png ; $\Delta x = x _ { i + 1/2} - x _ { i - 1/2 } $ ; confidence 0.817 |
205. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r13007043.png ; $B ( x , y ) = \sum _ { j = 1 } ^ { \infty } \lambda _ { j } \overline { \varphi _ { j } ( x ) } \varphi _ { j } ( y )$ ; confidence 0.817 | 205. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r13007043.png ; $B ( x , y ) = \sum _ { j = 1 } ^ { \infty } \lambda _ { j } \overline { \varphi _ { j } ( x ) } \varphi _ { j } ( y )$ ; confidence 0.817 | ||
| − | 206. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023150/c023150262.png ; $ | + | 206. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023150/c023150262.png ; $\beta_3$ ; confidence 0.817 |
| − | 207. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130170/w13017051.png ; $f ( \lambda ) = ( 2 \pi ) ^ { - 1 } k ( e ^ { - i \lambda } ) \Sigma k ^ { * } ( e ^ { - i \lambda } )$ ; confidence 0.817 | + | 207. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130170/w13017051.png ; $f ( \lambda ) = ( 2 \pi ) ^ { - 1 } k ( e ^ { - i \lambda } ) \Sigma k ^ { * } ( e ^ { - i \lambda } ),$ ; confidence 0.817 |
| − | 208. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120280/a12028066.png ; $( X , X * )$ ; confidence 0.817 | + | 208. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120280/a12028066.png ; $( \mathcal{X} , \mathcal{X}_{*} )$ ; confidence 0.817 |
209. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120290/c12029029.png ; $\operatorname { Ker } ( \mu )$ ; confidence 0.817 | 209. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120290/c12029029.png ; $\operatorname { Ker } ( \mu )$ ; confidence 0.817 | ||
| − | 210. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130360/s13036023.png ; $Y _ { t } = B _ { t } - \operatorname { min } _ { 0 \leq s \leq t } B _ { s } \ | + | 210. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130360/s13036023.png ; $Y _ { t } = B _ { t } - \operatorname { min } _ { 0 \leq s \leq t } B _ { s } \bigwedge 0,$ ; confidence 0.817 |
211. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023250/c023250155.png ; $N ( A )$ ; confidence 0.817 | 211. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023250/c023250155.png ; $N ( A )$ ; confidence 0.817 | ||
| − | 212. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096910/v0969104.png ; $\operatorname { lim } _ { n \rightarrow \infty } \frac { 1 } { n } \sum _ { k = 0 } ^ { n - 1 } U ^ { k } h = \ | + | 212. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096910/v0969104.png ; $\operatorname { lim } _ { n \rightarrow \infty } \frac { 1 } { n } \sum _ { k = 0 } ^ { n - 1 } U ^ { k } h = \overline{h}$ ; confidence 0.817 |
| − | 213. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120370/b12037064.png ; $L \subseteq \{ 0,1 \}$ ; confidence 0.817 | + | 213. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120370/b12037064.png ; $L \subseteq \{ 0,1 \}^*$ ; confidence 0.817 |
214. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120130/w12013021.png ; $\sigma _ { ess } ( - \Delta + V ) = [ 0 , \infty )$ ; confidence 0.817 | 214. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120130/w12013021.png ; $\sigma _ { ess } ( - \Delta + V ) = [ 0 , \infty )$ ; confidence 0.817 | ||
| Line 430: | Line 430: | ||
215. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120030/w12003057.png ; $[ 0 , \omega ]$ ; confidence 0.817 | 215. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120030/w12003057.png ; $[ 0 , \omega ]$ ; confidence 0.817 | ||
| − | 216. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120030/d12003070.png ; $DB _ { 1 } ^ { * }$ ; confidence 0.817 | + | 216. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120030/d12003070.png ; $\operatorname{DB} _ { 1 } ^ { * }$ ; confidence 0.817 |
217. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120210/w12021038.png ; $( s _ { 1 } , \dots , s _ { k } , B _ { m } )$ ; confidence 0.817 | 217. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120210/w12021038.png ; $( s _ { 1 } , \dots , s _ { k } , B _ { m } )$ ; confidence 0.817 | ||
| Line 440: | Line 440: | ||
220. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130100/r13010056.png ; $( i , x )$ ; confidence 0.817 | 220. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130100/r13010056.png ; $( i , x )$ ; confidence 0.817 | ||
| − | 221. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240312.png ; $SS _ { e } = \sum _ { i j k } ( y _ { i j k } - y _ { i j } ) ^ { 2 }$ ; confidence 0.817 | + | 221. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240312.png ; $\operatorname{SS} _ { e } = \sum _ { i j k } ( y _ { i j k } - y _ { i j .} ) ^ { 2 }$ ; confidence 0.817 |
| − | 222. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130100/p130100166.png ; $f : T \rightarrow C ^ { n }$ ; confidence 0.817 | + | 222. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130100/p130100166.png ; $f : T \rightarrow \mathbf{C} ^ { n }$ ; confidence 0.817 |
| − | 223. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120130/d12013014.png ; $S ( V ) ^ { | + | 223. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120130/d12013014.png ; $S ( V ) ^ { \operatorname{GL} ( V ) }$ ; confidence 0.817 |
| − | 224. https://www.encyclopediaofmath.org/legacyimages/w/w110/w110060/w11006014.png ; $P ( \overline { B } ( t , \omega ) = B ( t , \omega ) ) = 1$ ; confidence 0.816 | + | 224. https://www.encyclopediaofmath.org/legacyimages/w/w110/w110060/w11006014.png ; $\mathsf{P} ( \overline { B } ( t , \omega ) = B ( t , \omega ) ) = 1$ ; confidence 0.816 |
225. https://www.encyclopediaofmath.org/legacyimages/l/l061/l061050/l06105088.png ; $F ( \omega )$ ; confidence 0.816 | 225. https://www.encyclopediaofmath.org/legacyimages/l/l061/l061050/l06105088.png ; $F ( \omega )$ ; confidence 0.816 | ||
| − | 226. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z13011035.png ; $G _ { n } ( | + | 226. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z13011035.png ; $G _ { n } ( f_{( k , n )} ) = k$ ; confidence 0.816 |
227. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130110/v13011049.png ; $d \beta _ { j } / d t$ ; confidence 0.816 | 227. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130110/v13011049.png ; $d \beta _ { j } / d t$ ; confidence 0.816 | ||
| − | 228. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130160/b1301604.png ; $| f \| : = \{ \| f ( x ) \| : x \in X \}$ ; confidence 0.816 | + | 228. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130160/b1301604.png ; $\| f \| : = \{ \| f ( x ) \| : x \in X \}.$ ; confidence 0.816 |
229. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120280/s12028036.png ; $[ g ] : Y \rightarrow P$ ; confidence 0.816 | 229. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120280/s12028036.png ; $[ g ] : Y \rightarrow P$ ; confidence 0.816 | ||
| − | 230. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b13029048.png ; $ | + | 230. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b13029048.png ; $ \operatorname{l} _ { A } ( A / \mathfrak { q } ) - e _ { \mathfrak { q } } ^ { 0 } ( A )$ ; confidence 0.816 |
| − | 231. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m130140107.png ; $D _ { 1 }$ ; confidence 0.816 | + | 231. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m130140107.png ; $\mathcal{D} _ { 1 }$ ; confidence 0.816 |
232. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120190/l12019047.png ; $\dot { X } = A ( t ) X$ ; confidence 0.816 | 232. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120190/l12019047.png ; $\dot { X } = A ( t ) X$ ; confidence 0.816 | ||
| − | 233. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120050/k12005072.png ; $f ^ { * } | + | 233. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120050/k12005072.png ; $f ^ { * } f_{*} \mathcal{O} _ { X } ( m q ( H + \lambda ( K _ { X } + B ) ) ) \rightarrow$ ; confidence 0.816 |
234. https://www.encyclopediaofmath.org/legacyimages/l/l061/l061050/l06105060.png ; $f ( [ a , b ] )$ ; confidence 0.816 | 234. https://www.encyclopediaofmath.org/legacyimages/l/l061/l061050/l06105060.png ; $f ( [ a , b ] )$ ; confidence 0.816 | ||
| − | 235. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w130090110.png ; $\frac { 1 } { \sqrt { n _ { 1 } ! n _ { 2 } ! \ldots } }$ ; confidence 0.816 | + | 235. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w130090110.png ; $\frac { 1 } { \sqrt { n _ { 1 } ! n _ { 2 } ! \ldots } }.$ ; confidence 0.816 |
| − | 236. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t13013050.png ; $( T , ) : \operatorname { mod } \Lambda \rightarrow$ ; confidence 0.816 | + | 236. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t13013050.png ; $\operatorname{Hom}_\Lambda( T ,. ) : \operatorname { mod } \Lambda \rightarrow \operatorname{mod} \Gamma$ ; confidence 0.816 |
| − | 237. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120120/m12012059.png ; $ | + | 237. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120120/m12012059.png ; $eR Ce$ ; confidence 0.816 |
238. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130530/s13053093.png ; $( r - r _ { P } - 1 )$ ; confidence 0.816 | 238. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130530/s13053093.png ; $( r - r _ { P } - 1 )$ ; confidence 0.816 | ||
| − | 239. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025830/c02583040.png ; $T ^ { | + | 239. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025830/c02583040.png ; $T ^ { n } \rightarrow 0$ ; confidence 0.816 |
240. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015043.png ; $\operatorname { Ad } ( G ) X = \{ \operatorname { Ad } ( g ) X : g \in G \}$ ; confidence 0.816 | 240. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015043.png ; $\operatorname { Ad } ( G ) X = \{ \operatorname { Ad } ( g ) X : g \in G \}$ ; confidence 0.816 | ||
| − | 241. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120100/b12010049.png ; $U ( t ) = e ^ { A } S ( - t ) e ^ { - A }$ ; confidence 0.816 | + | 241. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120100/b12010049.png ; $U ( t ) = e ^ { \mathcal{A} } S ( - t ) e ^ { - \mathcal{A} }.$ ; confidence 0.816 |
| − | 242. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013042.png ; $( h _ { \theta } ^ { * } - \frac { I } { 2 } ) V + V ( h _ { \theta } ^ { * } - \frac { I } { 2 } ) ^ { T } = R ( \theta ^ { * } )$ ; confidence 0.816 | + | 242. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013042.png ; $\left( h _ { \theta } ^ { * } - \frac { I } { 2 } \right) V + V \left( h _ { \theta } ^ { * } - \frac { I } { 2 } \right) ^ { T } = R ( \theta ^ { * } ),$ ; confidence 0.816 |
| − | 243. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120100/b1201005.png ; $\nu | + | 243. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120100/b1201005.png ; $\nu \geq 1$ ; confidence 0.815 |
| − | 244. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c120170149.png ; $Z = \alpha 1 + \beta Z$ ; confidence 0.815 | + | 244. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c120170149.png ; $\overline{Z} = \alpha 1 + \beta Z$ ; confidence 0.815 |
245. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130060/l13006068.png ; $N _ { 2 } ^ { * } = \operatorname { min } _ { i } \{ m _ { i } + p _ { i } \}$ ; confidence 0.815 | 245. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130060/l13006068.png ; $N _ { 2 } ^ { * } = \operatorname { min } _ { i } \{ m _ { i } + p _ { i } \}$ ; confidence 0.815 | ||
| − | 246. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040754.png ; $_ { R } , \mathfrak { M } ( r ) = \operatorname { mng } _ { P \cup R } , \mathfrak { M } ( \varphi _ { r } )$ ; confidence 0.815 | + | 246. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040754.png ; $\operatorname{mng}_{\mathcal{S}_{P \cup R}} , \mathfrak { M } ( r ) = \operatorname { mng } _{\mathcal{S}_ { P \cup R }} , \mathfrak { M } ( \varphi _ { r } )$ ; confidence 0.815 |
247. https://www.encyclopediaofmath.org/legacyimages/g/g110/g110160/g11016028.png ; $M _ { 24 }$ ; confidence 0.815 | 247. https://www.encyclopediaofmath.org/legacyimages/g/g110/g110160/g11016028.png ; $M _ { 24 }$ ; confidence 0.815 | ||
| − | 248. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k0558405.png ; $[ x , y ] = [ y , x ]$ ; confidence 0.815 | + | 248. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k0558405.png ; $[ x , y ] = \overline{[ y , x ]}$ ; confidence 0.815 |
249. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a01130059.png ; $S ^ { n }$ ; confidence 0.815 | 249. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a01130059.png ; $S ^ { n }$ ; confidence 0.815 | ||
| Line 506: | Line 506: | ||
253. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011930/a01193049.png ; $G / H$ ; confidence 0.815 | 253. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011930/a01193049.png ; $G / H$ ; confidence 0.815 | ||
| − | 254. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120250/a12025089.png ; $K$ ; confidence 0.815 | + | 254. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120250/a12025089.png ; $\mathcal{K}$ ; confidence 0.815 |
| − | 255. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130190/f13019037.png ; $- j ^ { 2 } | + | 255. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130190/f13019037.png ; $- j ^ { 2 } a_j$ ; confidence 0.815 |
| − | 256. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130020/h13002072.png ; $F ( S ^ { d } ) ^ { q }$ ; confidence 0.815 | + | 256. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130020/h13002072.png ; $\mathcal{F} ( S ^ { d } ) ^ { q }$ ; confidence 0.815 |
257. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055066.png ; $B _ { G }$ ; confidence 0.815 | 257. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055066.png ; $B _ { G }$ ; confidence 0.815 | ||
| − | 258. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022038.png ; $S , T \in L ( X )$ ; confidence 0.814 | + | 258. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022038.png ; $S , T \in \mathcal{L} ( X )$ ; confidence 0.814 |
| − | 259. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130010/g13001092.png ; $GF ( 2 ^ { 593 } )$ ; confidence 0.814 | + | 259. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130010/g13001092.png ; $\operatorname{GF} ( 2 ^ { 593 } )$ ; confidence 0.814 |
260. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t12020060.png ; $\operatorname { inf } _ { z _ { j } } \operatorname { max } _ { k = 1 , \ldots , 2 n - 1 } \frac { | s _ { k } | } { M _ { 2 } ( k ) } = 1$ ; confidence 0.814 | 260. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t12020060.png ; $\operatorname { inf } _ { z _ { j } } \operatorname { max } _ { k = 1 , \ldots , 2 n - 1 } \frac { | s _ { k } | } { M _ { 2 } ( k ) } = 1$ ; confidence 0.814 | ||
| − | 261. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062220/m06222054.png ; $P _ { 0 } ^ { | + | 261. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062220/m06222054.png ; $P _ { 0 } ^ { n + 1 }$ ; confidence 0.814 |
| − | 262. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450177.png ; $X ( C )$ ; confidence 0.814 | + | 262. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450177.png ; $X ( \mathbf{C} )$ ; confidence 0.814 |
263. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130150/c13015030.png ; $O ( \varepsilon ^ { q - N } )$ ; confidence 0.814 | 263. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130150/c13015030.png ; $O ( \varepsilon ^ { q - N } )$ ; confidence 0.814 | ||
| Line 528: | Line 528: | ||
264. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055020/k05502018.png ; $T ^ { t } \xi$ ; confidence 0.814 | 264. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055020/k05502018.png ; $T ^ { t } \xi$ ; confidence 0.814 | ||
| − | 265. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005014.png ; $t \in [ 0 , T ]$ ; confidence 0.814 | + | 265. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005014.png ; $t \in [ 0 , T]$ ; confidence 0.814 |
| − | 266. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t12020054.png ; $| z _ { 1 } | \geq \ldots \geq | z _ { | + | 266. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t12020054.png ; $| z _ { 1 } | \geq \ldots \geq | z _ { n } |$ ; confidence 0.814 |
267. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110370/a11037017.png ; $X _ { 2 }$ ; confidence 0.814 | 267. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110370/a11037017.png ; $X _ { 2 }$ ; confidence 0.814 | ||
| Line 536: | Line 536: | ||
268. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010600/a01060011.png ; $C ^ { 2 }$ ; confidence 0.814 | 268. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010600/a01060011.png ; $C ^ { 2 }$ ; confidence 0.814 | ||
| − | 269. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014060.png ; $M _ { v _ { i } \times v _ { j } } ( K ) _ { \beta } = M _ { v _ { i } \times v _ { j } } ( K )$ ; confidence 0.814 | + | 269. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014060.png ; $\mathbf{M} _ { v _ { i } \times v _ { j } } ( K ) _ { \beta } = \mathbf{M} _ { v _ { i } \times v _ { j } } ( K )$ ; confidence 0.814 |
| − | 270. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840243.png ; $ | + | 270. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840243.png ; $q \bar{q}$ ; confidence 0.814 |
| − | 271. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120010/w1200104.png ; $ | + | 271. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120010/w1200104.png ; $\mathbf{C} ^ { * } = \mathbf{C} \backslash \{ 0 , \infty \}$ ; confidence 0.814 |
272. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i13005023.png ; $\left( \begin{array} { c c } { t ( k ) } & { r _ { - } ( k ) } \\ { r _ { + } ( k ) } & { t ( k ) } \end{array} \right) = S ( k )$ ; confidence 0.814 | 272. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i13005023.png ; $\left( \begin{array} { c c } { t ( k ) } & { r _ { - } ( k ) } \\ { r _ { + } ( k ) } & { t ( k ) } \end{array} \right) = S ( k )$ ; confidence 0.814 | ||
| − | 273. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130010/k1300103.png ; $ | + | 273. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130010/k1300103.png ; $\langle L \rangle$ ; confidence 0.814 |
274. https://www.encyclopediaofmath.org/legacyimages/n/n130/n130030/n13003073.png ; $- h \Delta$ ; confidence 0.814 | 274. https://www.encyclopediaofmath.org/legacyimages/n/n130/n130030/n13003073.png ; $- h \Delta$ ; confidence 0.814 | ||
| − | 275. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120190/l12019024.png ; $\sum _ { i = 1 } ^ { m } ( \sum _ { j = 1 } ^ { m } a _ { i j } x _ { j } ) \frac { \partial _ { v } } { \partial x _ { i } } = U$ ; confidence 0.813 | + | 275. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120190/l12019024.png ; $\sum _ { i = 1 } ^ { m } \left( \sum _ { j = 1 } ^ { m } a _ { i j } x _ { j } \right) \frac { \partial _ { v } } { \partial x _ { i } } = U.$ ; confidence 0.813 |
| − | 276. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120070/e12007019.png ; $v ( M ) | = 1$ ; confidence 0.813 | + | 276. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120070/e12007019.png ; $|\mathbf{v} ( M ) | = 1$ ; confidence 0.813 |
277. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130050/v13005053.png ; $D v$ ; confidence 0.813 | 277. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130050/v13005053.png ; $D v$ ; confidence 0.813 | ||
| − | 278. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020176.png ; $( MP )$ ; confidence 0.813 | + | 278. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020176.png ; $( \operatorname{MP} )$ ; confidence 0.813 |
279. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130020/j13002042.png ; $p = o ( n ^ { - 1 / 2 } )$ ; confidence 0.813 | 279. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130020/j13002042.png ; $p = o ( n ^ { - 1 / 2 } )$ ; confidence 0.813 | ||
| Line 560: | Line 560: | ||
280. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130040/g13004035.png ; $4 ^ { - k }$ ; confidence 0.813 | 280. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130040/g13004035.png ; $4 ^ { - k }$ ; confidence 0.813 | ||
| − | 281. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180403.png ; $S ( g ) = 0 \in C ^ { \infty } ( \ | + | 281. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180403.png ; $S ( \widetilde{g} ) = 0 \in C ^ { \infty } ( \widetilde { M } )$ ; confidence 0.813 |
| − | 282. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120090/f12009069.png ; $F \mu$ ; confidence 0.813 | + | 282. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120090/f12009069.png ; $\mathcal{F} \mu$ ; confidence 0.813 |
283. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520147.png ; $A \in M _ { n \times n } ( K )$ ; confidence 0.813 | 283. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520147.png ; $A \in M _ { n \times n } ( K )$ ; confidence 0.813 | ||
| − | 284. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120170/s12017053.png ; $x | + | 284. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120170/s12017053.png ; $x \underset{ \sim i }{\succ} y$ ; confidence 0.813 |
| − | 285. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011990/a0119907.png ; $ | + | 285. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011990/a0119907.png ; $\leq x$ ; confidence 0.813 |
286. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110660/b11066058.png ; $| x ^ { \prime } - x | \leq | x - y | / 2$ ; confidence 0.813 | 286. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110660/b11066058.png ; $| x ^ { \prime } - x | \leq | x - y | / 2$ ; confidence 0.813 | ||
| Line 576: | Line 576: | ||
288. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120180/s12018066.png ; $\langle x , x \rangle > 0$ ; confidence 0.813 | 288. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120180/s12018066.png ; $\langle x , x \rangle > 0$ ; confidence 0.813 | ||
| − | 289. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120280/a120280122.png ; $M ^ { U } ( E ) = \{ x \in X : \operatorname { sp } _ { U } ( x ) \subseteq E \}$ ; confidence 0.813 | + | 289. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120280/a120280122.png ; $M ^ { U } ( E ) = \{ x \in \mathcal{X} : \operatorname { sp } _ { U } ( x ) \subseteq E \}.$ ; confidence 0.813 |
290. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030270/d03027014.png ; $p = [ cn ]$ ; confidence 0.813 | 290. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030270/d03027014.png ; $p = [ cn ]$ ; confidence 0.813 | ||
| Line 582: | Line 582: | ||
291. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005098.png ; $A ( . )$ ; confidence 0.813 | 291. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005098.png ; $A ( . )$ ; confidence 0.813 | ||
| − | 292. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120130/d12013016.png ; $\{ c _ { | + | 292. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120130/d12013016.png ; $\{ c _ { n,j } \}$ ; confidence 0.813 |
| − | 293. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120070/c12007065.png ; $Z ( C ) = Z$ ; confidence 0.813 | + | 293. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120070/c12007065.png ; $Z ( C ) = \mathcal{Z}$ ; confidence 0.813 |
294. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120530/b12053020.png ; $( f _ { n } ) _ { n = 1 } ^ { \infty } \subset L _ { + }$ ; confidence 0.813 | 294. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120530/b12053020.png ; $( f _ { n } ) _ { n = 1 } ^ { \infty } \subset L _ { + }$ ; confidence 0.813 | ||
| Line 590: | Line 590: | ||
295. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030250/d0302504.png ; $x \in [ a , b ]$ ; confidence 0.813 | 295. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030250/d0302504.png ; $x \in [ a , b ]$ ; confidence 0.813 | ||
| − | 296. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120100/l12010057.png ; $L _ { \gamma , | + | 296. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120100/l12010057.png ; $L _ { \gamma , n} ^ { 1 }$ ; confidence 0.813 |
| − | 297. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120140/t12014091.png ; $\frac { \phi } { | \phi | } = \operatorname { exp } ( \xi + \ | + | 297. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120140/t12014091.png ; $\frac { \phi } { | \phi | } = \operatorname { exp } ( \xi + \widetilde { \eta } + c ),$ ; confidence 0.812 |
298. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120120/d12012060.png ; $\phi _ { k } = d ( a _ { k } )$ ; confidence 0.812 | 298. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120120/d12012060.png ; $\phi _ { k } = d ( a _ { k } )$ ; confidence 0.812 | ||
| − | 299. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c12021032.png ; $\{ P _ { | + | 299. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c12021032.png ; $\{ P _ { n } \}$ ; confidence 0.812 |
| − | 300. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130080/c13008028.png ; $P _ { A } = \{ \mathfrak { p } : F _ { L | + | 300. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130080/c13008028.png ; $P _ { A } = \{ \mathfrak { p } : F _ { L / K} ( \mathfrak { p } ) = A \}$ ; confidence 0.812 |
Latest revision as of 19:07, 19 May 2020
List
1. 
; $l + 1$ ; confidence 0.829
2. 
; $w _ { 1 } , \dots , w _ { k }$ ; confidence 0.829
3. 
; $x _ { 0 } < \ldots < x _ { k }$ ; confidence 0.829
4. 
; $C _ { 1 }$ ; confidence 0.829
5. 
; $\alpha = \Pi ( l ) = 2 \operatorname { arctan } e ^ { - l / R },$ ; confidence 0.829
6. 
; $\mathcal{M} _ { 5 } ( \mathbf{R} ^ { n } ) = \{$ ; confidence 0.829
7. 
; $\epsilon = \operatorname { ord } _ { T } ( d x / d \tau )$ ; confidence 0.829
8. 
; $\int _ { \mathbf{R} ^ { N } } | g ( y ) | ^ { 2 } d y = \int _ { Y ^ { \prime } } \sum _ { m = 1 } ^ { \infty } | \hat{g} _ { m } ( \eta ) | ^ { 2 } d \eta.$ ; confidence 0.829
9. 
; $\pi_2 ( K )$ ; confidence 0.829
10. 
; $\sum _ { j \geq 1 } \int _ { \mathbf{R} ^ { n } } | \nabla f _ { j } ( x ) | ^ { 2 } d x \geq K _ { n } \int _ { \mathbf{R} ^ { n } } \rho ( x ) ^ { 1 + 2 / n } d x.$ ; confidence 0.829
11. 
; $= \{ ( m , b ) \in M ( A ) \bigoplus B : \pi ( m ) = \tau ( b ) \}.$ ; confidence 0.828
12. 
; $F _ { \infty } \in \operatorname { Gal } ( \mathbf{C} / \mathbf{R})$ ; confidence 0.828
13. 
; $m!$ ; confidence 0.828
14. 
; $p ^ { ( i ) }$ ; confidence 0.828
15. 
; $p : \mathfrak { b } \rightarrow \mathbf{C}$ ; confidence 0.828
16. 
; $\mathsf{E} _ { \theta } ( N ) = \sum _ { n = 1 } ^ { \infty } n \mathsf{P} _ { \theta } ( N = n ) = \sum _ { n = 0 } ^ { \infty } \mathsf{P} _ { \theta } ( N > n ).$ ; confidence 0.828
17. 
; $K _ { 2 }$ ; confidence 0.828
18. 
; $x ^ { n } > y$ ; confidence 0.828
19. 
; $\operatorname { dist } _ { L^\infty } ( u , H ^ { \infty } ) < 1$ ; confidence 0.828
20. 
; $( y _ { 1 } , \dots , y _ { s } )$ ; confidence 0.828
21. 
; $\pi _ { k } ( S )$ ; confidence 0.828
22. 
; $\operatorname { St } _ { G } ( u ) = \{ g \in G : u ^ { g } = u \}$ ; confidence 0.828
23. 
; $\sum _ { i = 1 } ^ { r } A _ { i } = J$ ; confidence 0.828
24. 
; $f ( z ) = \sum _ { n = 0 } ^ { \infty } a _ { n } z ^ { n }$ ; confidence 0.828
25. 
; $Z ( \alpha ) = 1 _ { \mathbf{Z} }$ ; confidence 0.828
26. 
; $e > 0$ ; confidence 0.828
27. 
; $a , b \leq d , e$ ; confidence 0.828
28. 
; $N ^ { r + 1 } = 0$ ; confidence 0.828
29. 
; $\operatorname{QS} ( \mathbf{T} , \mathbf{C} )$ ; confidence 0.828
30. 
; $\mathsf{P} \{ \operatorname { sup } _ { t } w ( t ) < z \}$ ; confidence 0.828
31. 
; $p ^ { ( p ^ { m } - 1 ) / 2 }$ ; confidence 0.828
32. 
; $W ( \mathfrak{g} )$ ; confidence 0.828
33. 
; $j ^ { r } ( f )$ ; confidence 0.827
34. 
; $x \circ y : = ( x | 1 ) y + ( y | 1 ) x - ( x | \sigma ( y ) ) 1,$ ; confidence 0.827
35. 
; $\Lambda _ { n } ( \theta ) = \operatorname { log } ( d P _ { n , \theta _ { n } } / P _ { n , \theta } )$ ; confidence 0.827
36. 
; $k + l + m = n$ ; confidence 0.827
37. 
; $| \zeta ( 1 / 2 + i t ) |$ ; confidence 0.827
38. 
; $\Phi : O G \rightarrow A \mathcal{C}$ ; confidence 0.827
39. 
; $N = A ^ {r |s} $ ; confidence 0.827
40. 
; $V _ { L } ( t )$ ; confidence 0.827
41. 
; $\overline{Y} = \sum _ { j } Y _ { j } / n$ ; confidence 0.827
42. 
; $X _ { n } \subset X _ { n + 1} $ ; confidence 0.827
43. 
; $( p \supset ( q \supset r ) ) \supset ( ( p \supset q ) \supset ( p \supset r ) )$ ; confidence 0.827
44. 
; $\frac { - x f ^ { \prime } ( x ) } { f ( x ) } \nearrow \infty , \quad x \rightarrow \infty.$ ; confidence 0.827
45. 
; $\sum _ { n = 1 } ^ { \infty } \varphi ( q _ { n } ) f ( q _ { n } )$ ; confidence 0.827
46. 
; $\mathbf{c} ^ { \text{T} } \mathbf{x} \in \widetilde { G }$ ; confidence 0.827
47. 
; $\operatorname { lim } _ { n \rightarrow \infty } \frac { n ^ { 1 / 4 } } { ( \operatorname { log } n ) ^ { 1 / 2 } } \frac { \| \alpha _ { n } + \beta _ { n } \| } { \| \alpha _ { n } \| ^ { 1 / 2 } } = 1 \text{ a.s.},$ ; confidence 0.827
48. 
; $Y = ( Y _ { 1 } , \dots , Y _ { s } )$ ; confidence 0.827
49. 
; $\overline { \theta } _ { n } = \overline { \theta } _ { n - 1 } + \frac { 1 } { n } ( \theta _ { n - 1 } - \overline { \theta } _ { n - 1 } ).$ ; confidence 0.827
50. 
; $A \in \mathcal{A}$ ; confidence 0.826
51. 
; $A ( G _ { 2 } )$ ; confidence 0.826
52. 
; $6_2$ ; confidence 0.826
53. 
; $\{ ( R _ { i } , S _ { i } ) \} _ { i = 1 } ^ { n }$ ; confidence 0.826
54. 
; $= \int _ { a } ^ { b } \left[ \frac { \partial L } { \partial y } ( \sigma ^ { 1 } ( x ) ) z ( x ) + \frac { \partial L } { \partial y ^ { \prime } } ( \sigma ^ { 1 } ( x ) ) z ^ { \prime } ( x ) \right] d x =$ ; confidence 0.826
55. 
; $\frac { J - W _ { \Theta } ( z ) J W _ { \Theta } ( w ) ^ { * } } { z - \overline { w } } = 2 i K ^ { * } ( T - z I ) ^ { - 1 } ( T ^ { * } - \overline { w } I ) ^ { - 1 } K,$ ; confidence 0.826
56. 
; $p _ { 0 } = \| P _ { 0 } \psi \| ^ { 2 }$ ; confidence 0.826
57. 
; $o ( \# A )$ ; confidence 0.826
58. 
; $0 \leq s _ { 1 } + \ldots + s _ { n } \leq N$ ; confidence 0.826
59. 
; $\left( \varphi \rightarrow \varphi \left( \begin{array} { c } { x } \\ { \varepsilon x \varphi } \end{array} \right) \right) = 1$ ; confidence 0.826
60. 
; $x _ { j } = \operatorname { cos } ( \pi j / N )$ ; confidence 0.826
61. 
; $n ^ { \Omega ( \sqrt { k } ) }$ ; confidence 0.826
62. 
; $\varphi _ { i } : U _ { i } \subset \mathbf{R} ^ { m } \rightarrow M$ ; confidence 0.826
63. 
; $C _ { 1 } \operatorname { ln } ^ { n } N \leq \| S _ { N B } \| \leq C _ { 2 } \operatorname { ln } ^ { n } N.$ ; confidence 0.826
64. 
; $t \in \mathbf{Z} / p \mathbf{Z}$ ; confidence 0.826
65. 
; $H + \lambda ( K _ { X } + B )$ ; confidence 0.826
66. 
; $C ( \mathbf{T} )$ ; confidence 0.825
67. 
; $b : U \times V \rightarrow \mathbf{R}$ ; confidence 0.825
68. 
; $\left\| \begin{array} { l l } { 1 } & { 0 } \\ { 0 } & { 1 } \end{array} \right\| \mapsto \left\| \begin{array} { l l } { 1 } & { 0 } \\ { 0 } & { 1 } \end{array} \right\|.$ ; confidence 0.825
69. 
; $L _ { \infty } ( \mathbf{R} )$ ; confidence 0.825
70. 
; $K = \mathcal{Z}$ ; confidence 0.825
71. 
; $H_{*} ( X , \mathbf{Q} )$ ; confidence 0.825
72. 
; $\widehat { f } ( \xi ) = \frac { 1 } { ( 2 \pi ) ^ { 3 / 2 } } \int _ { D ^ { \prime } } f ( x ) \overline { u ( x , \xi ) } d x : = \mathcal{F} f.$ ; confidence 0.825
73. 
; $S ^ { r - 1 } \subset \mathbf{R} ^ { r }$ ; confidence 0.825
74. 
; $\overline{E} ( \alpha , \beta ) = \partial _ { x } \partial _ { y } - \frac { \beta } { x - y } \partial _ { x } + \frac { \alpha } { x - y } \partial y.$ ; confidence 0.825
75. 
; $C _ { \epsilon } > 0$ ; confidence 0.825
76. 
; $R = R _ { c }$ ; confidence 0.825
77. 
; $\| \varphi \| = \operatorname { inf } \| \xi \| \| \eta \|$ ; confidence 0.825
78. 
; $w = \phi _ { 0 }$ ; confidence 0.824
79. 
; $[ E : K ]$ ; confidence 0.824
80. 
; $f = G d \circ e$ ; confidence 0.824
81. 
; $Q = \| q _ { p s , i l} \|$ ; confidence 0.824
82. 
; $m : \Sigma \rightarrow X$ ; confidence 0.824
83. 
; $D ^ { n } = \mathbf{R} ^ { n } \cup S _ { \infty } ^ { n - 1 }$ ; confidence 0.824
84. 
; $T : \mathbf{P} ^ { m } \backslash X \rightarrow \mathbf{P} ^ { n }$ ; confidence 0.824
85. 
; $\operatorname { lim } _ { k \rightarrow \infty } \frac { S ( T ^ { k } , a f ( \epsilon ) ^ { k } ) } { k } = 2 \mathcal{H} _ { \epsilon } ^ { \prime } ( \xi ),$ ; confidence 0.824
86. 
; $\sigma : \mathbf{R} ^ { 2 n } \rightarrow \mathbf{C}$ ; confidence 0.824
87. 
; $\overline { \Sigma } \square ^ { i } ( f )$ ; confidence 0.824
88. 
; $F _ { \theta }$ ; confidence 0.824
89. 
; $f^\rightarrow$ ; confidence 0.824
90. 
; $\operatorname { ln } \rho$ ; confidence 0.824
91. 
; $( x ^ { * } , y ^ { * } , p ^ { * } )$ ; confidence 0.824
92. 
; $[ d f , d g ] _ { P } = d \{ f , g \} _ { P }$ ; confidence 0.824
93. 
; $x , y \in \mathbf{R} ^ { l + 1 }$ ; confidence 0.823
94. 
; $\widetilde{T} ( z ) = \langle T k _ { z } , k _ { z } \rangle.$ ; confidence 0.823
95. 
; $\{ u _ { j } \}$ ; confidence 0.823
96. 
; $\overline{h} ( x )$ ; confidence 0.823
97. 
; $\mathbf{Q} _ { p }$ ; confidence 0.823
98. 
; $n \rightarrow \infty$ ; confidence 0.823
99. 
; $k _ { z } ( w )$ ; confidence 0.823
100. 
; $X ^ { \prime }$ ; confidence 0.823
101. 
; $H _ { 2 } ( M ; \mathbf{Z} )$ ; confidence 0.823
102. 
; $\mathbf{C M} _ { n } = C _ { 0 } ( ]0,1 ] ) \otimes \mathbf{M} _ { n }$ ; confidence 0.823
103. 
; $( v , k , \lambda , n ) = \left( \frac { q ^ { d + 1 } - 1 } { q - 1 } , \frac { q ^ { d } - 1 } { q - 1 } , \frac { q ^ { d - 1 } - 1 } { q - 1 } , q ^ { d - 1 } \right) ,$ ; confidence 0.823
104. 
; $M : = \left\{ \theta : \theta \in \mathbf{C} ^ { 3 } , \theta . \theta = k ^ { 2_0 } \right\}$ ; confidence 0.823
105. 
; $y \leq z$ ; confidence 0.823
106. 
; $\mathbf{p} _ { k }$ ; confidence 0.823
107. 
; $D = \frac { E h ^ { 3 } } { 12 ( 1 - \nu ^ { 2 } ) }$ ; confidence 0.823
108. 
; $L^3$ ; confidence 0.823
109. 
; $p ( T ) x = 0$ ; confidence 0.823
110. 
; $\mathcal{C} = \operatorname { Fun } _ { q } ( C )$ ; confidence 0.823
111. 
; $Y _ { j } = - \sqrt { 3 } \lambda _ { j } ( j = 1,2,3 ) , Y _ { 4 } = \sqrt { 3 } \lambda _ { 8 }$ ; confidence 0.822
112. 
; $\mathcal{G} _ { \alpha } ^ { - 1 } = \mathcal{G} _ { - \alpha }$ ; confidence 0.822
113. 
; $e _ { i } , f _ { i } , h _ { i j }$ ; confidence 0.822
114. 
; $Z ^ { * } Z \leq B _ { 0 }$ ; confidence 0.822
115. 
; $T _ { 0 } , T _ { 1 } \in \operatorname { add } T$ ; confidence 0.822
116. 
; $A _ { 1 } ^ { ( 1 ) }$ ; confidence 0.822
117. 
; $X ^ { * } = \Gamma \backslash D ^ { * }$ ; confidence 0.822
118. 
; $x \preceq y \preceq z \Rightarrow y \in H.$ ; confidence 0.822
119. 
; $f ( p ) = L g : = \int _ { T } g ( t ) \overline { h ( t , p ) } d m ( t ).$ ; confidence 0.822
120. 
; $t = ( t _ { 1 } , \dots , t _ { k } )$ ; confidence 0.822
121. 
; $T = \sum _ { t } t ( t - 1 ) / 2$ ; confidence 0.822
122. 
; $\frac { 1 } { n } \sum _ { i = 1 } ^ { n } \rho \left( \frac { r_i } { s } \right) = K,$ ; confidence 0.822
123. 
; $f ^ { \prime } ( x _ { m } ) = m$ ; confidence 0.822
124. 
; $\emptyset \neq M \subseteq X$ ; confidence 0.822
125. 
; $2 \kappa \Delta c - f _ { 0 } ^ { \prime } ( c ) = \lambda \text { in } V,$ ; confidence 0.821
126. 
; $\mathcal{M} _ { 2 } ( \mathbf{R} ^ { n } )$ ; confidence 0.821
127. 
; $H_{*} \Omega X$ ; confidence 0.821
128. 
; $V ^ { * } = \operatorname { Hom } ( V , \mathbf{R} )$ ; confidence 0.821
129. 
; $| l | = m ( l )$ ; confidence 0.821
130. 
; $F ( 2,6 ) = \pi _ { 1 } ( M _ { 3 } )$ ; confidence 0.821
131. 
; $S = Q ^ { * } G$ ; confidence 0.821
132. 
; $( \overline { \partial } + \mu \partial + \overline{L}) \psi = 0$ ; confidence 0.821
133. 
; $\operatorname{SL} ( n , \mathbf{C} )$ ; confidence 0.821
134. 
; $O _ { K , \text{p} }$ ; confidence 0.821
135. 
; $x ^ { - } = x \wedge e$ ; confidence 0.821
136. 
; $S : V ^ { \prime } \rightarrow U$ ; confidence 0.821
137. 
; $\mathcal{O} _ { 2 }$ ; confidence 0.821
138. 
; $x _ { i } = \left\{ \begin{array} { l l } { 1 } & { \text { if } a _ { i } \leq c - \sum _ { j = 1 } ^ { i - 1 } a _ { j } x _ { j }, } \\ { 0 } & { \text { otherwise. } } \end{array} \right.$ ; confidence 0.821
139. 
; $f \in L ^ { \infty } ( \mathbf{T} )$ ; confidence 0.821
140. 
; $r ( A \bigcup B ) + r ( A \bigcap B ) \leq r ( A ) + r ( B ).$ ; confidence 0.820
141. 
; $\operatorname { lim } _ { n \rightarrow \infty } ( ( 1 - Q ) ( I - P ) ) ^ { n } f = ( I - P _ { \overline{U + V} } ) f$ ; confidence 0.820
142. 
; $m = k - l$ ; confidence 0.820
143. 
; $y _ { i } = f ( x _ { i } )$ ; confidence 0.820
144. 
; $C_i$ ; confidence 0.820
145. 
; $f \in C ( \mathbf{C} ^ { n } )$ ; confidence 0.820
146. 
; $\xi \in \mathbf{C} ^ { k }$ ; confidence 0.820
147. 
; $\mathcal{S} _ { \Gamma } ^ { \prime } ( \mathbf{R} ^ { n } )$ ; confidence 0.820
148. 
; $A _ { N } ( F f \circ s \circ f ^ { - 1 } ) = ( G f ) \circ A _ { M } ( s ) \circ f ^ { - 1 }$ ; confidence 0.820
149. 
; $k [ g ]$ ; confidence 0.820
150. 
; $| \Delta P ( i \omega ) | < | R ( i \omega ) | , \quad \text { a.a. } \omega,$ ; confidence 0.820
151. 
; $\Omega = \mathbf{R} ^ { m }$ ; confidence 0.820
152. 
; $a _ { 0 } ( 1 - x _ { 0 } f ) + a _ { 1 } f _ { 1 } + \ldots + a _ { m } f _ { m } = 1.$ ; confidence 0.820
153. 
; $\operatorname{Ch} : K _ { 0 } ( A ) \rightarrow \operatorname{HC} _ { 2 n } ( A )$ ; confidence 0.820
154. 
; $\operatorname { Der } ( \mathfrak { g } )$ ; confidence 0.820
155. 
; $Z \in X$ ; confidence 0.820
156. 
; $\Sigma ^ { i , j } ( f ) = \Sigma ^ { j } ( f | _ { \Sigma ^ { i } ( f ) } ).$ ; confidence 0.820
157. 
; $b,$ ; confidence 0.820
158. 
; $p _ { \pi }$ ; confidence 0.820
159. 
; $z ^ { - ( 1 + q ) }$ ; confidence 0.820
160. 
; $s _ { 1 } \geq \ldots \geq s _ { m } \geq 0$ ; confidence 0.820
161. 
; $H _ { f } ^ { U }$ ; confidence 0.820
162. 
; $1 / 2 \operatorname{tr}$ ; confidence 0.820
163. 
; $V _ { Y }$ ; confidence 0.820
164. 
; $( \operatorname { cos } \alpha ) y ( 0 ) + ( \operatorname { sin } \alpha ) y ^ { \prime } ( 0 ) = 0,$ ; confidence 0.820
165. 
; $\{ A _ { j n } \}$ ; confidence 0.820
166. 
; $i \in \mathbf{Z}$ ; confidence 0.819
167. 
; $F ( u ) = \int _ { \mathbf{R} } \left( u ^ { 2 } + \frac { 1 } { 3 } u ^ { 3 } \right) d x$ ; confidence 0.819
168. 
; $C ^ { * } ( S ) \otimes _ { \delta } \mathcal{C} _ { 0 } ( S )$ ; confidence 0.819
169. 
; $u \in D ( S ^ { 2 } )$ ; confidence 0.819
170. 
; $\varepsilon \left( \begin{array} { l l } { \alpha } & { \beta } \\ { \gamma } & { \delta } \end{array} \right) = \left( \begin{array} { l l } { 1 } & { 0 } \\ { 0 } & { 1 } \end{array} \right)$ ; confidence 0.819
171. 
; $p , v \in X$ ; confidence 0.819
172. 
; $\mathbf{X} \mapsto \underline{\operatorname { dim }} \mathbf{X} = ( \operatorname { dim } _ { K } X _ { j } ) _ { j \in Q _ { 0 } }$ ; confidence 0.819
173. 
; $F ( \tau ) = \frac { 2 \pi \operatorname { sinh } \pi \tau } { \pi ^ { 2 } | I _ { i \alpha } ( \alpha ) | ^ { 2 } } \times$ ; confidence 0.819
174. 
; $k ^ { \prime }$ ; confidence 0.819
175. 
; $\phi ( t _ { 0 } ) = x ( t _ { 0 } )$ ; confidence 0.819
176. 
; $\{ \widehat { \phi } ( j + k ) \}_{ j , k \geq 0}$ ; confidence 0.819
177. 
; $G _ { 0 } ^ { s } ( \Omega ) = G ^ { s } ( \Omega ) \cap C _ { 0 } ^ { \infty } ( \Omega )$ ; confidence 0.819
178. 
; $B \subseteq A$ ; confidence 0.819
179. 
; $Q ( x ) e ^ { i \xi x }$ ; confidence 0.819
180. 
; $X \equiv ( x _ { 1 } , \dots , x _ { n } )$ ; confidence 0.819
181. 
; $R = \int _ { 0 } ^ { + \infty } \beta ( a ) \Pi ( a ) d a,$ ; confidence 0.819
182. 
; $0 \neq \phi \in E ( \lambda , D _ { Y } ) \text { with } \pi ^ { * } \phi \in E ( \mu , D _ { Z } ).$ ; confidence 0.819
183. 
; $\{ a_{i , i} \} _ { i = 1 } ^ { n }$ ; confidence 0.819
184. 
; $g = g ^ { \prime }$ ; confidence 0.819
185. 
; $x \notin D ( A )$ ; confidence 0.819
186. 
; $b = b ^ { * }$ ; confidence 0.818
187. 
; $\partial _ { t } f + v . \nabla _ { x } f = \frac { Q ( f ) } { \varepsilon },$ ; confidence 0.818
188. 
; $\widetilde { \Sigma } = \Sigma \backslash \cup _ { i = 1,2,3 } U _ { i }$ ; confidence 0.818
189. 
; $N _ { A } ( x )$ ; confidence 0.818
190. 
; $A \subseteq S$ ; confidence 0.818
191. 
; $| \mu _ { n } ( E ) | < \varepsilon$ ; confidence 0.818
192. 
; $[G : H ] < \infty$ ; confidence 0.818
193. 
; $2 d$ ; confidence 0.818
194. 
; $\xi _ { 1 } ^ { 2 } + \ldots + \xi _ { k - m - 1 } ^ { 2 } + \mu _ { 1 } \xi _ { k - m } ^ { 2 } + \ldots + \mu _ { m } \xi _ { k - 1 } ^ { 2 },$ ; confidence 0.818
195. 
; $\sigma ( \mathbf{u} ) = \gamma ( u _ { 1 } ) \oplus \ldots \oplus \gamma ( u _ { m } )$ ; confidence 0.818
196. 
; $\cosh d ( x , y ) = \sqrt { 1 + x ^ { 2 } } \sqrt { 1 + y ^ { 2 } } - x y$ ; confidence 0.818
197. 
; $\sum _ { k = 1 } ^ { \infty } x _ {{ n } _ { k }}$ ; confidence 0.818
198. 
; $f ( x ) = \frac { 1 } { ( \pi x ) ^ { 2 } } \int _ { 0 } ^ { \infty } \tau \operatorname { sinh } ( 2 \pi \tau ) \times \times \left| \Gamma \left( \frac { 1 } { 2 } - \mu - i \tau \right) \right| ^ { 2 } W _ { \mu , i \tau } ( x ) F ( \tau ) d \tau ;$ ; confidence 0.818
199. 
; $\overline{\mathbf{R}}$ ; confidence 0.818
200. 
; $\{ H _ { n } \} _ { n = 1 } ^ { \infty }$ ; confidence 0.818
201. 
; $W _ { P } ( \rho ) / W _ { P } ( \operatorname { det } _ { \rho } )$ ; confidence 0.818
202. 
; $\mathcal{A} ( \Gamma \backslash G ( \mathbf{R} ) ) \subset C _ { 0 } ( \Gamma \backslash G ( \mathbf{R} ) )$ ; confidence 0.818
203. 
; $f \in \operatorname{BMOA} = \operatorname{BMO} \cap H ^ { 2 }$ ; confidence 0.817
204. 
; $\Delta x = x _ { i + 1/2} - x _ { i - 1/2 } $ ; confidence 0.817
205. 
; $B ( x , y ) = \sum _ { j = 1 } ^ { \infty } \lambda _ { j } \overline { \varphi _ { j } ( x ) } \varphi _ { j } ( y )$ ; confidence 0.817
206. 
; $\beta_3$ ; confidence 0.817
207. 
; $f ( \lambda ) = ( 2 \pi ) ^ { - 1 } k ( e ^ { - i \lambda } ) \Sigma k ^ { * } ( e ^ { - i \lambda } ),$ ; confidence 0.817
208. 
; $( \mathcal{X} , \mathcal{X}_{*} )$ ; confidence 0.817
209. 
; $\operatorname { Ker } ( \mu )$ ; confidence 0.817
210. 
; $Y _ { t } = B _ { t } - \operatorname { min } _ { 0 \leq s \leq t } B _ { s } \bigwedge 0,$ ; confidence 0.817
211. 
; $N ( A )$ ; confidence 0.817
212. 
; $\operatorname { lim } _ { n \rightarrow \infty } \frac { 1 } { n } \sum _ { k = 0 } ^ { n - 1 } U ^ { k } h = \overline{h}$ ; confidence 0.817
213. 
; $L \subseteq \{ 0,1 \}^*$ ; confidence 0.817
214. 
; $\sigma _ { ess } ( - \Delta + V ) = [ 0 , \infty )$ ; confidence 0.817
215. 
; $[ 0 , \omega ]$ ; confidence 0.817
216. 
; $\operatorname{DB} _ { 1 } ^ { * }$ ; confidence 0.817
217. 
; $( s _ { 1 } , \dots , s _ { k } , B _ { m } )$ ; confidence 0.817
218. 
; $\sigma ( \alpha ) : = \int _ { S ^ { 2 } } | f ( \alpha , \beta , k ) | ^ { 2 } d \beta$ ; confidence 0.817
219. 
; $\theta = q$ ; confidence 0.817
220. 
; $( i , x )$ ; confidence 0.817
221. 
; $\operatorname{SS} _ { e } = \sum _ { i j k } ( y _ { i j k } - y _ { i j .} ) ^ { 2 }$ ; confidence 0.817
222. 
; $f : T \rightarrow \mathbf{C} ^ { n }$ ; confidence 0.817
223. 
; $S ( V ) ^ { \operatorname{GL} ( V ) }$ ; confidence 0.817
224. 
; $\mathsf{P} ( \overline { B } ( t , \omega ) = B ( t , \omega ) ) = 1$ ; confidence 0.816
225. 
; $F ( \omega )$ ; confidence 0.816
226. 
; $G _ { n } ( f_{( k , n )} ) = k$ ; confidence 0.816
227. 
; $d \beta _ { j } / d t$ ; confidence 0.816
228. 
; $\| f \| : = \{ \| f ( x ) \| : x \in X \}.$ ; confidence 0.816
229. 
; $[ g ] : Y \rightarrow P$ ; confidence 0.816
230. 
; $ \operatorname{l} _ { A } ( A / \mathfrak { q } ) - e _ { \mathfrak { q } } ^ { 0 } ( A )$ ; confidence 0.816
231. 
; $\mathcal{D} _ { 1 }$ ; confidence 0.816
232. 
; $\dot { X } = A ( t ) X$ ; confidence 0.816
233. 
; $f ^ { * } f_{*} \mathcal{O} _ { X } ( m q ( H + \lambda ( K _ { X } + B ) ) ) \rightarrow$ ; confidence 0.816
234. 
; $f ( [ a , b ] )$ ; confidence 0.816
235. 
; $\frac { 1 } { \sqrt { n _ { 1 } ! n _ { 2 } ! \ldots } }.$ ; confidence 0.816
236. 
; $\operatorname{Hom}_\Lambda( T ,. ) : \operatorname { mod } \Lambda \rightarrow \operatorname{mod} \Gamma$ ; confidence 0.816
237. 
; $eR Ce$ ; confidence 0.816
238. 
; $( r - r _ { P } - 1 )$ ; confidence 0.816
239. 
; $T ^ { n } \rightarrow 0$ ; confidence 0.816
240. 
; $\operatorname { Ad } ( G ) X = \{ \operatorname { Ad } ( g ) X : g \in G \}$ ; confidence 0.816
241. 
; $U ( t ) = e ^ { \mathcal{A} } S ( - t ) e ^ { - \mathcal{A} }.$ ; confidence 0.816
242. 
; $\left( h _ { \theta } ^ { * } - \frac { I } { 2 } \right) V + V \left( h _ { \theta } ^ { * } - \frac { I } { 2 } \right) ^ { T } = R ( \theta ^ { * } ),$ ; confidence 0.816
243. 
; $\nu \geq 1$ ; confidence 0.815
244. 
; $\overline{Z} = \alpha 1 + \beta Z$ ; confidence 0.815
245. 
; $N _ { 2 } ^ { * } = \operatorname { min } _ { i } \{ m _ { i } + p _ { i } \}$ ; confidence 0.815
246. 
; $\operatorname{mng}_{\mathcal{S}_{P \cup R}} , \mathfrak { M } ( r ) = \operatorname { mng } _{\mathcal{S}_ { P \cup R }} , \mathfrak { M } ( \varphi _ { r } )$ ; confidence 0.815
247. 
; $M _ { 24 }$ ; confidence 0.815
248. 
; $[ x , y ] = \overline{[ y , x ]}$ ; confidence 0.815
249. 
; $S ^ { n }$ ; confidence 0.815
250. 
; $\operatorname { Im } \sigma ( Z ) \geq 0$ ; confidence 0.815
251. 
; $L y \equiv y ^ { ( n ) } + p _ { 1 } ( x ) y ^ { ( n - 1 ) } + \ldots + p _ { n } ( x ) y = 0$ ; confidence 0.815
252. 
; $g \in Y$ ; confidence 0.815
253. 
; $G / H$ ; confidence 0.815
254. 
; $\mathcal{K}$ ; confidence 0.815
255. 
; $- j ^ { 2 } a_j$ ; confidence 0.815
256. 
; $\mathcal{F} ( S ^ { d } ) ^ { q }$ ; confidence 0.815
257. 
; $B _ { G }$ ; confidence 0.815
258. 
; $S , T \in \mathcal{L} ( X )$ ; confidence 0.814
259. 
; $\operatorname{GF} ( 2 ^ { 593 } )$ ; confidence 0.814
260. 
; $\operatorname { inf } _ { z _ { j } } \operatorname { max } _ { k = 1 , \ldots , 2 n - 1 } \frac { | s _ { k } | } { M _ { 2 } ( k ) } = 1$ ; confidence 0.814
261. 
; $P _ { 0 } ^ { n + 1 }$ ; confidence 0.814
262. 
; $X ( \mathbf{C} )$ ; confidence 0.814
263. 
; $O ( \varepsilon ^ { q - N } )$ ; confidence 0.814
264. 
; $T ^ { t } \xi$ ; confidence 0.814
265. 
; $t \in [ 0 , T]$ ; confidence 0.814
266. 
; $| z _ { 1 } | \geq \ldots \geq | z _ { n } |$ ; confidence 0.814
267. 
; $X _ { 2 }$ ; confidence 0.814
268. 
; $C ^ { 2 }$ ; confidence 0.814
269. 
; $\mathbf{M} _ { v _ { i } \times v _ { j } } ( K ) _ { \beta } = \mathbf{M} _ { v _ { i } \times v _ { j } } ( K )$ ; confidence 0.814
270. 
; $q \bar{q}$ ; confidence 0.814
271. 
; $\mathbf{C} ^ { * } = \mathbf{C} \backslash \{ 0 , \infty \}$ ; confidence 0.814
272. 
; $\left( \begin{array} { c c } { t ( k ) } & { r _ { - } ( k ) } \\ { r _ { + } ( k ) } & { t ( k ) } \end{array} \right) = S ( k )$ ; confidence 0.814
273. 
; $\langle L \rangle$ ; confidence 0.814
274. 
; $- h \Delta$ ; confidence 0.814
275. 
; $\sum _ { i = 1 } ^ { m } \left( \sum _ { j = 1 } ^ { m } a _ { i j } x _ { j } \right) \frac { \partial _ { v } } { \partial x _ { i } } = U.$ ; confidence 0.813
276. 
; $|\mathbf{v} ( M ) | = 1$ ; confidence 0.813
277. 
; $D v$ ; confidence 0.813
278. 
; $( \operatorname{MP} )$ ; confidence 0.813
279. 
; $p = o ( n ^ { - 1 / 2 } )$ ; confidence 0.813
280. 
; $4 ^ { - k }$ ; confidence 0.813
281. 
; $S ( \widetilde{g} ) = 0 \in C ^ { \infty } ( \widetilde { M } )$ ; confidence 0.813
282. 
; $\mathcal{F} \mu$ ; confidence 0.813
283. 
; $A \in M _ { n \times n } ( K )$ ; confidence 0.813
284. 
; $x \underset{ \sim i }{\succ} y$ ; confidence 0.813
285. 
; $\leq x$ ; confidence 0.813
286. 
; $| x ^ { \prime } - x | \leq | x - y | / 2$ ; confidence 0.813
287. 
; $2 ^ { - n ^ { k } }$ ; confidence 0.813
288. 
; $\langle x , x \rangle > 0$ ; confidence 0.813
289. 
; $M ^ { U } ( E ) = \{ x \in \mathcal{X} : \operatorname { sp } _ { U } ( x ) \subseteq E \}.$ ; confidence 0.813
290. 
; $p = [ cn ]$ ; confidence 0.813
291. 
; $A ( . )$ ; confidence 0.813
292. 
; $\{ c _ { n,j } \}$ ; confidence 0.813
293. 
; $Z ( C ) = \mathcal{Z}$ ; confidence 0.813
294. 
; $( f _ { n } ) _ { n = 1 } ^ { \infty } \subset L _ { + }$ ; confidence 0.813
295. 
; $x \in [ a , b ]$ ; confidence 0.813
296. 
; $L _ { \gamma , n} ^ { 1 }$ ; confidence 0.813
297. 
; $\frac { \phi } { | \phi | } = \operatorname { exp } ( \xi + \widetilde { \eta } + c ),$ ; confidence 0.812
298. 
; $\phi _ { k } = d ( a _ { k } )$ ; confidence 0.812
299. 
; $\{ P _ { n } \}$ ; confidence 0.812
300. 
; $P _ { A } = \{ \mathfrak { p } : F _ { L / K} ( \mathfrak { p } ) = A \}$ ; confidence 0.812
Maximilian Janisch/latexlist/latex/NoNroff/39. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/NoNroff/39&oldid=45588