Difference between revisions of "User:Maximilian Janisch/latexlist/latex/NoNroff/66"
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== List == | == List == | ||
| − | 1. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120140/t120140134.png ; $\operatorname { dist } _ { \lambda } ( \phi , \psi ) = \operatorname { limsup } _ { | + | 1. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120140/t120140134.png ; $\operatorname { dist } _ { \lambda } ( \phi , \psi ) = \operatorname { limsup } _ { \zeta \rightarrow \lambda } | \phi ( \zeta ) - \psi ( \zeta ) |.$ ; confidence 0.354 |
2. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120210/t12021059.png ; $\operatorname{GF} ( q ) ^ { n }$ ; confidence 0.354 | 2. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120210/t12021059.png ; $\operatorname{GF} ( q ) ^ { n }$ ; confidence 0.354 | ||
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10. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120320/b120320108.png ; $c_0 ( \Gamma )$ ; confidence 0.354 | 10. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120320/b120320108.png ; $c_0 ( \Gamma )$ ; confidence 0.354 | ||
| − | 11. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120200/a12020043.png ; $\mathfrak { p } _ { i } ( t ) = q _ { i } ( t ) \prod _ { m = 1 , m \neq i } ^ { n } ( t - t _ { m } ) ^ { | + | 11. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120200/a12020043.png ; $\mathfrak { p } _ { i } ( t ) = q _ { i } ( t ) \prod _ { m = 1 , m \neq i } ^ { n } ( t - t _ { m } ) ^ { r _ { m } } \quad ( i = 1 , \ldots , n ).$ ; confidence 0.353 |
12. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120170/b12017050.png ; $W _ { \alpha } ^ { p }$ ; confidence 0.353 | 12. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120170/b12017050.png ; $W _ { \alpha } ^ { p }$ ; confidence 0.353 | ||
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17. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013031.png ; $( X _ { n - 1 } , \theta _ { n - 1 } , \ldots )$ ; confidence 0.353 | 17. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013031.png ; $( X _ { n - 1 } , \theta _ { n - 1 } , \ldots )$ ; confidence 0.353 | ||
| − | 18. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120110/m12011051.png ; $ | + | 18. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120110/m12011051.png ; $H_{ *} ( \overline { M } ) = H_{ *} ( F )$ ; confidence 0.353 |
19. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120040/l12004077.png ; $\hat { f } _ { i } ^ { + } = f ( \hat { u } _ { i } ^ { + } )$ ; confidence 0.353 | 19. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120040/l12004077.png ; $\hat { f } _ { i } ^ { + } = f ( \hat { u } _ { i } ^ { + } )$ ; confidence 0.353 | ||
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28. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a1301303.png ; $P _ { 1 } = \left( \begin{array} { c c c } { 0 } & { \square } & { q } \\ { r } & { \square } & { 0 } \end{array} \right) , Q _ { 2 } = \left( \begin{array} { c c } { - \frac { i } { 2 } q r } & { \frac { i } { 2 } q_x } \\ { - \frac { i } { 2 } r _ { x } } & { \frac { i } { 2 } q r } \end{array} \right).$ ; confidence 0.352 | 28. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a1301303.png ; $P _ { 1 } = \left( \begin{array} { c c c } { 0 } & { \square } & { q } \\ { r } & { \square } & { 0 } \end{array} \right) , Q _ { 2 } = \left( \begin{array} { c c } { - \frac { i } { 2 } q r } & { \frac { i } { 2 } q_x } \\ { - \frac { i } { 2 } r _ { x } } & { \frac { i } { 2 } q r } \end{array} \right).$ ; confidence 0.352 | ||
| − | 29. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120110/n12011047.png ; $\xi _ { \underline{ | + | 29. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120110/n12011047.png ; $\xi _ { \underline{x}^*} : \mathbf{R} ^ { n } \rightarrow [ 0,1 ]$ ; confidence 0.352 |
| − | 30. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f120210103.png ; $= [ \sum _ { | + | 30. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f120210103.png ; $= [ \sum _ { i = 0 } ^ { \infty } \sum _ { n = 0 } ^ { N } a _ { i } ^ { n } z ^ { n + i } ( \frac { \partial } { \partial z } ) ^ { n } ] [ \sum _ { k = 0 } ^ { \infty } c _ { k } ( \lambda ) z ^ { \lambda + k } ] =$ ; confidence 0.352 |
31. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120130/k12013016.png ; $Q _ { 2 n+1} $ ; confidence 0.352 | 31. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120130/k12013016.png ; $Q _ { 2 n+1} $ ; confidence 0.352 | ||
| − | 32. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040288.png ; $\operatorname{ | + | 32. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040288.png ; $\operatorname{Co}\mathbf{A}$ ; confidence 0.351 |
33. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520212.png ; $G = \operatorname{GL} _ { m } ( K ) \times \operatorname{GL} _ { n } ( K )$ ; confidence 0.351 | 33. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520212.png ; $G = \operatorname{GL} _ { m } ( K ) \times \operatorname{GL} _ { n } ( K )$ ; confidence 0.351 | ||
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38. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030110/d03011027.png ; $L ^ { + }$ ; confidence 0.351 | 38. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030110/d03011027.png ; $L ^ { + }$ ; confidence 0.351 | ||
| − | 39. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180183.png ; $A ^ { 2 } \mathcal{E} \subset \otimes ^ { 2 } \mathcal{E}$ ; confidence 0.351 | + | 39. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180183.png ; $\mathsf{A} ^ { 2 } \mathcal{E} \subset \otimes ^ { 2 } \mathcal{E}$ ; confidence 0.351 |
40. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120050/k12005020.png ; $\mu_* ^ {- 1 } B _ { j }$ ; confidence 0.351 | 40. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120050/k12005020.png ; $\mu_* ^ {- 1 } B _ { j }$ ; confidence 0.351 | ||
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43. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110330/b11033014.png ; $\omega _ { i }$ ; confidence 0.351 | 43. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110330/b11033014.png ; $\omega _ { i }$ ; confidence 0.351 | ||
| − | 44. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l12003023.png ; $\mathcal{S} q ^ { n } x _ { n } = x _ { n } ^ { 2 }$ ; confidence 0.350 | + | 44. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l12003023.png ; $\mathcal{S} \operatorname{q} ^ { n } x _ { n } = x _ { n } ^ { 2 }$ ; confidence 0.350 |
45. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130110/c1301107.png ; $f ( y ) - f ( x ) + \sigma \| y - x \| ^ { 2 } \geq \langle \zeta , y - x \rangle, \ \forall y \text{ near } x.$ ; confidence 0.350 | 45. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130110/c1301107.png ; $f ( y ) - f ( x ) + \sigma \| y - x \| ^ { 2 } \geq \langle \zeta , y - x \rangle, \ \forall y \text{ near } x.$ ; confidence 0.350 | ||
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47. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120160/m12016058.png ; $\mathbf{R} ^ { p_1 n_1 } $ ; confidence 0.350 | 47. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120160/m12016058.png ; $\mathbf{R} ^ { p_1 n_1 } $ ; confidence 0.350 | ||
| − | 48. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j120020111.png ; $\ | + | 48. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j120020111.png ; $\mathsf{P} [ X ^ { * } > \lambda ] \leq C e ^ { - \lambda / e }$ ; confidence 0.350 |
49. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120200/a12020082.png ; $J$ ; confidence 0.350 | 49. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120200/a12020082.png ; $J$ ; confidence 0.350 | ||
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50. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130490/s13049036.png ; $\sum _ { k = 0 } ^ { r ( P ) } \frac { | \mathcal{F} \cap N _ { k } | } { | N _ { k } | } \leq 1$ ; confidence 0.350 | 50. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130490/s13049036.png ; $\sum _ { k = 0 } ^ { r ( P ) } \frac { | \mathcal{F} \cap N _ { k } | } { | N _ { k } | } \leq 1$ ; confidence 0.350 | ||
| − | 51. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120190/l12019030.png ; $x = \operatorname { col } ( x _ { 1 } \ldots x _ { | + | 51. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120190/l12019030.png ; $x = \operatorname { col } ( x _ { 1 } \ldots x _ { n } )$ ; confidence 0.350 |
52. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003060.png ; $\mathcal{A}( \Omega ) = \mathcal{B} / \mathcal{I}_{ 0 , \operatorname { loc }}$ ; confidence 0.350 | 52. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003060.png ; $\mathcal{A}( \Omega ) = \mathcal{B} / \mathcal{I}_{ 0 , \operatorname { loc }}$ ; confidence 0.350 | ||
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56. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130060/l13006063.png ; $m _ { i - 1 } = a _ { i - 1 } m _ { i } + m _ { i + 1 } , i = 1,2 , \dots ,$ ; confidence 0.350 | 56. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130060/l13006063.png ; $m _ { i - 1 } = a _ { i - 1 } m _ { i } + m _ { i + 1 } , i = 1,2 , \dots ,$ ; confidence 0.350 | ||
| − | 57. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200218.png ; $\operatorname { min } _ { r = m + 1 , \ldots , m + K } | G _ { 1 } ( r ) | \geq \frac { 1 } { P _ { m , K } } | \sum _ { j = 1 } ^ { n } P _ { j } ( 0 ) |$ ; confidence 0.350 | + | 57. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200218.png ; $\operatorname { min } _ { r = m + 1 , \ldots , m + K } | G _ { 1 } ( r ) | \geq \frac { 1 } { P _ { m , K } } \left| \sum _ { j = 1 } ^ { n } P _ { j } ( 0 ) \right|$ ; confidence 0.350 |
| − | 58. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130040/i13004025.png ; $\sum _ { n = 0 } ^ { \infty } \{ \sum _ { m = 1 } ^ { \infty } [ \sum _ { k = m 2 ^ { n } } ^ { ( m + 1 ) 2 ^ { n } - 1 } | \Delta d _ { k } | ] ^ { 2 } \} ^ { 1 / 2 } < \infty.$ ; confidence 0.350 | + | 58. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130040/i13004025.png ; $\sum _ { n = 0 } ^ { \infty } \left\{ \sum _ { m = 1 } ^ { \infty } \left[ \sum _ { k = m 2 ^ { n } } ^ { ( m + 1 ) 2 ^ { n } - 1 } | \Delta d _ { k } | \right] ^ { 2 } \right\} ^ { 1 / 2 } < \infty.$ ; confidence 0.350 |
| − | 59. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032067.png ; $\Pi ( M ) _ { \overline{ | + | 59. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032067.png ; $\Pi ( M ) _ { \overline{U}} = M _ { \overline{\text{l}} }$ ; confidence 0.349 |
60. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120070/d1200708.png ; $u \in E$ ; confidence 0.349 | 60. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120070/d1200708.png ; $u \in E$ ; confidence 0.349 | ||
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64. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120190/f12019064.png ; $\# \Omega \geq 2$ ; confidence 0.349 | 64. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120190/f12019064.png ; $\# \Omega \geq 2$ ; confidence 0.349 | ||
| − | 65. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180404.png ; $A ( \tilde{g} ) = 0 \in \ | + | 65. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180404.png ; $A ( \tilde{g} ) = 0 \in \mathsf{S} ^ { 2 } \tilde{\mathcal{E}}$ ; confidence 0.349 |
66. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r13008057.png ; $f ( z , z_0 ) = \frac { 1 } { K _ { D } ( z_0 , z _ { 0 } ) } \int _ { z _ { 0 } } ^ { z } K _ { D } ( t , z _ { 0 } ) d t.$ ; confidence 0.349 | 66. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r13008057.png ; $f ( z , z_0 ) = \frac { 1 } { K _ { D } ( z_0 , z _ { 0 } ) } \int _ { z _ { 0 } } ^ { z } K _ { D } ( t , z _ { 0 } ) d t.$ ; confidence 0.349 | ||
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93. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023030/c0230307.png ; $\Psi_1$ ; confidence 0.347 | 93. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023030/c0230307.png ; $\Psi_1$ ; confidence 0.347 | ||
| − | 94. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130040/i13004036.png ; $\operatorname { sup } _ { 0 < | y | < \pi } | \int _ { - \infty } ^ { \infty } \varphi ( x ) e ^ { - i y x } d x - \sum _ { - \infty } ^ { \infty } \varphi ( k ) e ^ { - i k x } | \leq C \| \varphi \| _ { \operatorname{BV} },$ ; confidence 0.347 | + | 94. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130040/i13004036.png ; $\operatorname { sup } _ { 0 < | y | < \pi } \left| \int _ { - \infty } ^ { \infty } \varphi ( x ) e ^ { - i y x } d x - \sum _ { - \infty } ^ { \infty } \varphi ( k ) e ^ { - i k x } \right| \leq C \| \varphi \| _ { \operatorname{BV} },$ ; confidence 0.347 |
95. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020036.png ; $N$ ; confidence 0.347 | 95. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020036.png ; $N$ ; confidence 0.347 | ||
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105. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004041.png ; $X_r ^ { * }$ ; confidence 0.346 | 105. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004041.png ; $X_r ^ { * }$ ; confidence 0.346 | ||
| − | 106. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130100/z130100111.png ; $\forall x ( ( \neg x = \emptyset ) \rightarrow \exists y ( y \in x \ | + | 106. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130100/z130100111.png ; $\forall x ( ( \neg x = \emptyset ) \rightarrow \exists y ( y \in x \bigwedge \forall z ( z \in x \rightarrow \neg z \in y ) ) ).$ ; confidence 0.346 |
107. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050160.png ; $\sum _ { n = 0 } ^ { \infty } G ^ { \# } ( n ) y ^ { n } = \prod _ { m = 1 } ^ { \infty } ( 1 - y ^ { m } ) ^ { - P ^ { \# } ( m ) };$ ; confidence 0.346 | 107. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050160.png ; $\sum _ { n = 0 } ^ { \infty } G ^ { \# } ( n ) y ^ { n } = \prod _ { m = 1 } ^ { \infty } ( 1 - y ^ { m } ) ^ { - P ^ { \# } ( m ) };$ ; confidence 0.346 | ||
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125. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130110/s13011050.png ; $\mathbf{Z} [ x _ { 1 } , \ldots , x _ { n } ]$ ; confidence 0.345 | 125. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130110/s13011050.png ; $\mathbf{Z} [ x _ { 1 } , \ldots , x _ { n } ]$ ; confidence 0.345 | ||
| − | 126. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120190/w1201906.png ; $\psi _ { | + | 126. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120190/w1201906.png ; $\psi _ { \operatorname{w} } ( x , p , t ) = \int _ { \mathbf{R} ^ { 3 N } } e ^ { i p z / \hbar } \overline { \psi } \left( x + \frac { z } { 2 } , t \right) \psi \left( x - \frac { z } { 2 } , t \right) d z,$ ; confidence 0.345 |
127. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130210/b13021015.png ; $f _ { b } = \sum _ { r \ni b } F _ { r }$ ; confidence 0.345 | 127. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130210/b13021015.png ; $f _ { b } = \sum _ { r \ni b } F _ { r }$ ; confidence 0.345 | ||
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129. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c130070240.png ; $\operatorname { ord } _ { T } ( d \tau _ { i } / d \tau )$ ; confidence 0.345 | 129. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c130070240.png ; $\operatorname { ord } _ { T } ( d \tau _ { i } / d \tau )$ ; confidence 0.345 | ||
| − | 130. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200111.png ; $ | + | 130. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200111.png ; $a \in \mathfrak { g } ^ { n_1 \alpha _ { 1 } + \ldots }$ ; confidence 0.345 |
131. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130040/b13004035.png ; $\mathcal{W}$ ; confidence 0.345 | 131. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130040/b13004035.png ; $\mathcal{W}$ ; confidence 0.345 | ||
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135. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120050/b1200502.png ; $B_E$ ; confidence 0.345 | 135. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120050/b1200502.png ; $B_E$ ; confidence 0.345 | ||
| − | 136. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120240/e120240119.png ; $H ^ { 1 } ( \overline { Y _ { 1 } ( N ) } ; \operatorname { Sym } ^ { k - 2 } R ^ { 1 } \overline { f } *\mathbf{Z} _ { p } ) \ | + | 136. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120240/e120240119.png ; $H ^ { 1 } ( \overline { Y _ { 1 } ( N ) } ; \operatorname { Sym } ^ { k - 2 } R ^ { 1 } \overline { f } *\mathbf{Z} _ { p } ) \bigotimes \mathbf{Q} _ { p },$ ; confidence 0.344 |
137. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b12022093.png ; $D _ { \xi } = ( 1 , v _ { 1 } , \dots , v _ { N } , | v | ^ { 2 } / 2 + I ^ { 2 } / 2 ) \mathbf{R} _ { + }$ ; confidence 0.344 | 137. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b12022093.png ; $D _ { \xi } = ( 1 , v _ { 1 } , \dots , v _ { N } , | v | ^ { 2 } / 2 + I ^ { 2 } / 2 ) \mathbf{R} _ { + }$ ; confidence 0.344 | ||
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138. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120090/l12009097.png ; $[ . ,. ]_A$ ; confidence 0.344 | 138. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120090/l12009097.png ; $[ . ,. ]_A$ ; confidence 0.344 | ||
| − | 139. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130090/p13009019.png ; $f ( x ) = \int _ { \partial | + | 139. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130090/p13009019.png ; $f ( x ) = \int _ { \partial B ( x _ { 0 } , r ) } P ( x , \xi ) f ( \xi ) d \sigma ( \xi ),$ ; confidence 0.344 |
140. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050215.png ; $\sum _ { n \leq x } S ( n ) = A _ { 2 } x + O ( \sqrt { x } ) \quad \text { as } x \rightarrow \infty,$ ; confidence 0.344 | 140. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050215.png ; $\sum _ { n \leq x } S ( n ) = A _ { 2 } x + O ( \sqrt { x } ) \quad \text { as } x \rightarrow \infty,$ ; confidence 0.344 | ||
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147. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120030/w120030101.png ; $\| ( x _ { n } + x ) / 2 \| \rightarrow \| x \|$ ; confidence 0.344 | 147. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120030/w120030101.png ; $\| ( x _ { n } + x ) / 2 \| \rightarrow \| x \|$ ; confidence 0.344 | ||
| − | 148. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011021.png ; $= | t | ^ { - n } \int \int e ^ { - 2 i \pi t ^ { - 1 } y \cdot \eta } { | + | 148. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011021.png ; $= | t | ^ { - n } \int \int e ^ { - 2 i \pi t ^ { - 1 } y \cdot \eta } { a ( x + y , \xi + \eta ) d y d \eta },$ ; confidence 0.344 |
149. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130140/c1301408.png ; $A ^ { * } = ( a _ { i , j } ) ^ { * } = ( \overline { a _ { j , i } } )$ ; confidence 0.344 | 149. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130140/c1301408.png ; $A ^ { * } = ( a _ { i , j } ) ^ { * } = ( \overline { a _ { j , i } } )$ ; confidence 0.344 | ||
| Line 300: | Line 300: | ||
150. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120020/b12002019.png ; $\frac { n ^ { 1 / 4 } } { ( \operatorname { log } n ) ^ { 1 / 2 } } \| \alpha _ { n } + \beta _ { n } \| \stackrel { d } { \rightarrow } \| B \| ^ { 1 / 2 },$ ; confidence 0.344 | 150. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120020/b12002019.png ; $\frac { n ^ { 1 / 4 } } { ( \operatorname { log } n ) ^ { 1 / 2 } } \| \alpha _ { n } + \beta _ { n } \| \stackrel { d } { \rightarrow } \| B \| ^ { 1 / 2 },$ ; confidence 0.344 | ||
| − | 151. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130060/b13006013.png ; $\| x \| _ { 2 } = ( \sum _ { i } | x _ { i } | ^ { 2 } ) ^ { 1 / 2 } , \| x \| _ { \infty } = \operatorname { max } _ { i } | x _ { i } |,$ ; confidence 0.344 | + | 151. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130060/b13006013.png ; $\| x \| _ { 2 } = \left( \sum _ { i } | x _ { i } | ^ { 2 } \right) ^ { 1 / 2 } , \| x \| _ { \infty } = \operatorname { max } _ { i } | x _ { i } |,$ ; confidence 0.344 |
152. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b12042086.png ; $\mathbf{Z} / n \mathbf{Z}$ ; confidence 0.344 | 152. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b12042086.png ; $\mathbf{Z} / n \mathbf{Z}$ ; confidence 0.344 | ||
| − | 153. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120030/m12003097.png ; $e _ { 0 } = y _ { 0 } - \ | + | 153. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120030/m12003097.png ; $e _ { 0 } = y _ { 0 } - \overset{\rightharpoonup} { x } _ { 0 } ^ { t} \overset{\rightharpoonup} { \theta }$ ; confidence 0.343 |
154. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k05584018.png ; $( \mathcal{K}, - [. , .] )$ ; confidence 0.343 | 154. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k05584018.png ; $( \mathcal{K}, - [. , .] )$ ; confidence 0.343 | ||
| Line 340: | Line 340: | ||
170. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j12002071.png ; $t \leq T$ ; confidence 0.342 | 170. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j12002071.png ; $t \leq T$ ; confidence 0.342 | ||
| − | 171. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022110/c0221108.png ; $\operatorname { lim } _ { n \rightarrow \infty } \ | + | 171. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022110/c0221108.png ; $\operatorname { lim } _ { n \rightarrow \infty } \mathsf{P} \{ X ^ { 2 } \leq x | H _ { 0 } \} = \mathsf{P} \{ \chi _ { k - 1 } ^ { 2 } \leq x \}.$ ; confidence 0.342 |
172. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120160/b12016043.png ; $\{ f _ { i } \} _ { 1 } ^ { n _ { 1 } }$ ; confidence 0.342 | 172. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120160/b12016043.png ; $\{ f _ { i } \} _ { 1 } ^ { n _ { 1 } }$ ; confidence 0.342 | ||
| Line 366: | Line 366: | ||
183. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130220/a13022024.png ; $g \tilde { h } = h$ ; confidence 0.342 | 183. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130220/a13022024.png ; $g \tilde { h } = h$ ; confidence 0.342 | ||
| − | 184. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008072.png ; $t _ { n } ( x ) = \frac { c _ { n } } { s } ( 1 + \frac { ( x - m ) ^ { 2 } } { s ^ { 2 } n } ) ^ { - ( n + 1 ) / 2 }$ ; confidence 0.342 | + | 184. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008072.png ; $t _ { n } ( x ) = \frac { c _ { n } } { s } \left( 1 + \frac { ( x - m ) ^ { 2 } } { s ^ { 2 } n } \right) ^ { - ( n + 1 ) / 2 }$ ; confidence 0.342 |
185. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012460/a012460168.png ; $\tilde{x}$ ; confidence 0.342 | 185. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012460/a012460168.png ; $\tilde{x}$ ; confidence 0.342 | ||
| Line 386: | Line 386: | ||
193. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200144.png ; $\frac { \max_{k = m + 1 , \ldots , m + n}| g ( k ) | } { \sum _ { j = 1 } ^ { n } | b _ { j } z _ { j } ^ { k } | } \geq \frac { 1 } { n } ( \frac { \delta } { 2 } ) ^ { n - 1 }.$ ; confidence 0.341 | 193. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200144.png ; $\frac { \max_{k = m + 1 , \ldots , m + n}| g ( k ) | } { \sum _ { j = 1 } ^ { n } | b _ { j } z _ { j } ^ { k } | } \geq \frac { 1 } { n } ( \frac { \delta } { 2 } ) ^ { n - 1 }.$ ; confidence 0.341 | ||
| − | 194. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120050/l12005024.png ; $\frac { 1 } { 2 \sqrt { 2 \pi } } \int _ { 0 } ^ { \infty } \int _ { 0 } ^ { \infty } \operatorname { exp } ( - \frac { 1 } { 2 } ( \frac { x u } { v } + \frac { x v } { u } + \frac { u v } { x } ) ) \times \times ( \frac { 1 } { x } + \frac { 1 } { u } + \frac { 1 } { v } ) f ( u ) g ( v ) d u d v.$ ; confidence 0.341 | + | 194. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120050/l12005024.png ; $=\frac { 1 } { 2 \sqrt { 2 \pi } } \int _ { 0 } ^ { \infty } \int _ { 0 } ^ { \infty } \operatorname { exp } \left( - \frac { 1 } { 2 } \left( \frac { x u } { v } + \frac { x v } { u } + \frac { u v } { x } \right) \right) \times \times \left( \frac { 1 } { x } + \frac { 1 } { u } + \frac { 1 } { v } \right) f ( u ) g ( v ) d u d v.$ ; confidence 0.341 |
195. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120080/b1200808.png ; $\mathcal{E} _ { \operatorname{wor} } ( P , m ) = \operatorname { sup } _ { p \in P } | \epsilon ( p , m ) |$ ; confidence 0.341 | 195. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120080/b1200808.png ; $\mathcal{E} _ { \operatorname{wor} } ( P , m ) = \operatorname { sup } _ { p \in P } | \epsilon ( p , m ) |$ ; confidence 0.341 | ||
| Line 392: | Line 392: | ||
196. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130080/i13008026.png ; $L _ { 2 } ^ { \prime \prime }$ ; confidence 0.341 | 196. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130080/i13008026.png ; $L _ { 2 } ^ { \prime \prime }$ ; confidence 0.341 | ||
| − | 197. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l120120160.png ; $M _ { p }$ ; confidence 0.341 | + | 197. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l120120160.png ; $M _ { \operatorname{p} }$ ; confidence 0.341 |
198. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120070/l12007065.png ; $v _ { t } / r ^ { t }$ ; confidence 0.341 | 198. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120070/l12007065.png ; $v _ { t } / r ^ { t }$ ; confidence 0.341 | ||
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199. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130070/e13007012.png ; $n \in I$ ; confidence 0.341 | 199. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130070/e13007012.png ; $n \in I$ ; confidence 0.341 | ||
| − | 200. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130010/b13001042.png ; $V ^ { * } = V \ | + | 200. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130010/b13001042.png ; $V ^ { * } = V \bigcup V _ { 1 } \bigcup \ldots \bigcup V _ { t },$ ; confidence 0.340 |
201. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i13009070.png ; $P ( T ) = T ^ { n } + a _ { n - 1 } T ^ { n - 1 } + \ldots + a _ { 0 }$ ; confidence 0.340 | 201. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i13009070.png ; $P ( T ) = T ^ { n } + a _ { n - 1 } T ^ { n - 1 } + \ldots + a _ { 0 }$ ; confidence 0.340 | ||
| Line 404: | Line 404: | ||
202. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091190/s0911904.png ; $V = V _ { \bar{0}} \oplus V _ { \bar{1} }$ ; confidence 0.340 | 202. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091190/s0911904.png ; $V = V _ { \bar{0}} \oplus V _ { \bar{1} }$ ; confidence 0.340 | ||
| − | 203. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120190/w12019030.png ; $= \sum _ { k , l } A _ { k l } \int _ { \mathbf{R} ^ { 3 N } } e ^ { i p z / \hbar } u _ { k } ( x - \frac { z } { 2 } ) \overline { u_l } ( x + \frac { z } { 2 } ) d z.$ ; confidence 0.340 | + | 203. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120190/w12019030.png ; $= \sum _ { k , l } A _ { k l } \int _ { \mathbf{R} ^ { 3 N } } e ^ { i p z / \hbar } u _ { k } \left( x - \frac { z } { 2 } \right) \overline { u_l } \left( x + \frac { z } { 2 } \right) d z.$ ; confidence 0.340 |
| − | 204. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130110/m130110113.png ; $( \frac { \partial \phi } { \partial t } ) | _ { x _ { k } ^ { 0 } } = \frac { D \phi } { D t } , ( \frac { \partial \phi } { \partial t } ) | _ { x _ { i } } = \frac { \partial \phi } { \partial t } , ( \frac { \partial x _ { i } } { \partial t } ) | _ { x _ { k } ^ { 0 } } = v _ { i }.$ ; confidence 0.340 | + | 204. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130110/m130110113.png ; $\left( \frac { \partial \phi } { \partial t } \right) | _ { x _ { k } ^ { 0 } } = \frac { D \phi } { D t } , \left( \frac { \partial \phi } { \partial t } \right) | _ { x _ { i } } = \frac { \partial \phi } { \partial t } , \left( \frac { \partial x _ { i } } { \partial t } \right) | _ { x _ { k } ^ { 0 } } = v _ { i }.$ ; confidence 0.340 |
205. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130060/w13006038.png ; $\mathcal{T}_{g,n} $ ; confidence 0.340 | 205. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130060/w13006038.png ; $\mathcal{T}_{g,n} $ ; confidence 0.340 | ||
| Line 412: | Line 412: | ||
206. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120300/c1203008.png ; $S _ { i } ^ { * } S _ { j } = 0 , i \neq j,$ ; confidence 0.340 | 206. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120300/c1203008.png ; $S _ { i } ^ { * } S _ { j } = 0 , i \neq j,$ ; confidence 0.340 | ||
| − | 207. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130140/p13014026.png ; $f ( x ) = \frac { 1 } { 4 \pi ^ { 2 } } \int _ { S ^ { 1 } } \int _ { - \infty } ^ { \infty } \frac { \hat { f } \rho ( \alpha , p ) } { \alpha x - p } d p d \alpha,$ ; confidence 0.340 | + | 207. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130140/p13014026.png ; $f ( x ) = \frac { 1 } { 4 \pi ^ { 2 } } \int _ { S ^ { 1 } } \int _ { - \infty } ^ { \infty } \frac { \hat { f } \rho ( \alpha , p ) } { \alpha . x - p } d p d \alpha,$ ; confidence 0.340 |
208. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010640/a0106407.png ; $\geq 2$ ; confidence 0.340 | 208. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010640/a0106407.png ; $\geq 2$ ; confidence 0.340 | ||
| Line 428: | Line 428: | ||
214. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130190/c13019017.png ; $\operatorname{clos} ( N \backslash L )$ ; confidence 0.339 | 214. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130190/c13019017.png ; $\operatorname{clos} ( N \backslash L )$ ; confidence 0.339 | ||
| − | 215. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s13064025.png ; $\operatorname{spec} T ( a ) = \operatorname { Ran } ( | + | 215. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s13064025.png ; $\operatorname{spec} T ( a ) = \operatorname { Ran } ( a ) \bigcup \{ z \notin \operatorname { Ran } ( a ) : \text { wind } ( a - z ) \neq 0 \}.$ ; confidence 0.339 |
216. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s12023067.png ; $K _ { 2 } ( m \times m ) = I _ { m }$ ; confidence 0.339 | 216. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s12023067.png ; $K _ { 2 } ( m \times m ) = I _ { m }$ ; confidence 0.339 | ||
| Line 440: | Line 440: | ||
220. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130090/h13009051.png ; $G ^ { * * }$ ; confidence 0.339 | 220. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130090/h13009051.png ; $G ^ { * * }$ ; confidence 0.339 | ||
| − | 221. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057630/l05763058.png ; $ | + | 221. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057630/l05763058.png ; $a \in P$ ; confidence 0.339 |
222. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w13009073.png ; $\mathcal{H} _ { k } ( x ) = ( - 1 ) ^ { n } e ^ { x ^ { 2 } / 2 } D _ { x } ^ { k } e ^ { - x ^ { 2 } / 2 }$ ; confidence 0.339 | 222. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w13009073.png ; $\mathcal{H} _ { k } ( x ) = ( - 1 ) ^ { n } e ^ { x ^ { 2 } / 2 } D _ { x } ^ { k } e ^ { - x ^ { 2 } / 2 }$ ; confidence 0.339 | ||
| Line 452: | Line 452: | ||
226. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130380/s13038024.png ; $\operatorname { Int } _ { \tau } A$ ; confidence 0.339 | 226. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130380/s13038024.png ; $\operatorname { Int } _ { \tau } A$ ; confidence 0.339 | ||
| − | 227. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120130/k1201301.png ; $\int _ { | + | 227. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120130/k1201301.png ; $\int _ { a } ^ { b } p ( x ) f ( x ) d x \approx Q _ { 2 ^ {i} ( n + 1 ) - 1 } [ f ] =$ ; confidence 0.339 |
228. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120120/d12012051.png ; $\operatorname{dom} \alpha_{j+1}^{\prime} = \operatorname { codom } \alpha _ { j } ^ { \prime }$ ; confidence 0.339 | 228. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120120/d12012051.png ; $\operatorname{dom} \alpha_{j+1}^{\prime} = \operatorname { codom } \alpha _ { j } ^ { \prime }$ ; confidence 0.339 | ||
| Line 478: | Line 478: | ||
239. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m13025056.png ; $( \rho _ { \varepsilon } ) _ { \varepsilon > 0 } \subset \mathcal{D} ( \mathbf{R} ^ { n } )$ ; confidence 0.338 | 239. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m13025056.png ; $( \rho _ { \varepsilon } ) _ { \varepsilon > 0 } \subset \mathcal{D} ( \mathbf{R} ^ { n } )$ ; confidence 0.338 | ||
| − | 240. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120150/e12015019.png ; $\frac { \mathcal{D} \xi ^ { i } } { d t } = \frac { d \xi ^ { i } } { d t } + \frac { 1 } { 2 } g ^ { i | + | 240. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120150/e12015019.png ; $\frac { \mathcal{D} \xi ^ { i } } { d t } = \frac { d \xi ^ { i } } { d t } + \frac { 1 } { 2 } g ^ { i _{ ;r}} \xi ^ { r },$ ; confidence 0.338 |
| − | 241. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s13064046.png ; $ | + | 241. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s13064046.png ; $a ( e ^ { i \theta } ) = b ( e ^ { i \theta } ) \prod _ { r = 1 } ^ { R } \omega _ { \alpha _ { r } , \beta _ { r } } ( e ^ { i ( \theta - \theta _ { r } ) } ),$ ; confidence 0.338 |
242. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z13011040.png ; $\frac { \mu _ { n } ( x ) } { \mu _ { n } } \approx \Delta \frac { 1 } { x } = \frac { 1 } { x ( x + 1 ) } , x = 1,2 , \dots,$ ; confidence 0.338 | 242. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z13011040.png ; $\frac { \mu _ { n } ( x ) } { \mu _ { n } } \approx \Delta \frac { 1 } { x } = \frac { 1 } { x ( x + 1 ) } , x = 1,2 , \dots,$ ; confidence 0.338 | ||
| Line 490: | Line 490: | ||
245. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110650/b11065036.png ; $P \in \mathcal{P}$ ; confidence 0.337 | 245. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110650/b11065036.png ; $P \in \mathcal{P}$ ; confidence 0.337 | ||
| − | 246. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120170/s12017054.png ; $ | + | 246. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120170/s12017054.png ; $y \underset{ \sim}{\succ}_{i} z$ ; confidence 0.337 |
247. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120200/a12020049.png ; $\mathfrak { p } _ { i } ( t ) = \prod _ { m = 1 , m \neq i } ^ { n } \frac { t - t _ { m } } { t _ { i } - t _ { m } } \quad ( i = 1 , \ldots , n ).$ ; confidence 0.337 | 247. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120200/a12020049.png ; $\mathfrak { p } _ { i } ( t ) = \prod _ { m = 1 , m \neq i } ^ { n } \frac { t - t _ { m } } { t _ { i } - t _ { m } } \quad ( i = 1 , \ldots , n ).$ ; confidence 0.337 | ||
| Line 496: | Line 496: | ||
248. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120260/a120260123.png ; $\hat{y}_ { i }$ ; confidence 0.337 | 248. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120260/a120260123.png ; $\hat{y}_ { i }$ ; confidence 0.337 | ||
| − | 249. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l12012010.png ; $|.| | + | 249. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l12012010.png ; $|.|_{\operatorname{p}}$ ; confidence 0.337 |
250. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120180/w1201809.png ; $W ( A )$ ; confidence 0.337 | 250. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120180/w1201809.png ; $W ( A )$ ; confidence 0.337 | ||
| Line 502: | Line 502: | ||
251. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130650/s13065010.png ; $\rho _ { n + 1} = \Phi _ { n + 1 } ( 0 )$ ; confidence 0.337 | 251. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130650/s13065010.png ; $\rho _ { n + 1} = \Phi _ { n + 1 } ( 0 )$ ; confidence 0.337 | ||
| − | 252. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017020.png ; $p ( | + | 252. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017020.png ; $p ( a , t ) = \operatorname c_0 e ^ { \lambda ^ { * } ( t - a ) } \Pi ( a ) ( 1 + \Omega ( t - a ) ),$ ; confidence 0.337 |
253. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b12043014.png ; $a , b \in B$ ; confidence 0.337 | 253. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b12043014.png ; $a , b \in B$ ; confidence 0.337 | ||
| Line 516: | Line 516: | ||
258. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130230/m130230150.png ; $( ( X _ { n + 1 } , B _ { n + 1 } ) , f _ { n + 1 } ) = ( ( X _ { n } ^ { + } , ( \phi _ { * } ^ { + } ) ^ { - 1 } \phi _ { * } B _ { n } ) , f _ { n } \circ \phi ^ { - 1 } \circ \phi ^ { + } )$ ; confidence 0.337 | 258. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130230/m130230150.png ; $( ( X _ { n + 1 } , B _ { n + 1 } ) , f _ { n + 1 } ) = ( ( X _ { n } ^ { + } , ( \phi _ { * } ^ { + } ) ^ { - 1 } \phi _ { * } B _ { n } ) , f _ { n } \circ \phi ^ { - 1 } \circ \phi ^ { + } )$ ; confidence 0.337 | ||
| − | 259. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120150/s12015080.png ; $ | + | 259. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120150/s12015080.png ; $G_{*}$ ; confidence 0.337 |
| − | 260. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120040/b120040159.png ; $\|x \|_X | y | + | 260. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120040/b120040159.png ; $\|x \|_X \| y \| _ { X ^ { \prime } } \leq ( 1 + \epsilon ) \| f \| _ { L _ { 1 } }$ ; confidence 0.337 |
261. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120260/c12026060.png ; $( \mathcal{L} _ { h k } U ) _ { j } ^ { n } \equiv 0$ ; confidence 0.337 | 261. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120260/c12026060.png ; $( \mathcal{L} _ { h k } U ) _ { j } ^ { n } \equiv 0$ ; confidence 0.337 | ||
| − | 262. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120200/w12020016.png ; $R [ K _ { | + | 262. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120200/w12020016.png ; $R [ K _ { x } ( x _ { \nu } , . ) ] = 0 , \quad \nu = 2 , \dots , n - 1,$ ; confidence 0.336 |
263. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120130/b12013094.png ; $\int _ { D } z ^ { n } | \varphi ( z ) | ^ { p } d A ( z ) = 0$ ; confidence 0.336 | 263. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120130/b12013094.png ; $\int _ { D } z ^ { n } | \varphi ( z ) | ^ { p } d A ( z ) = 0$ ; confidence 0.336 | ||
| Line 528: | Line 528: | ||
264. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s12034055.png ; $c_ { 1 } ( A )$ ; confidence 0.336 | 264. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s12034055.png ; $c_ { 1 } ( A )$ ; confidence 0.336 | ||
| − | 265. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b12022038.png ; $\partial _ { t } f + | + | 265. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b12022038.png ; $\partial _ { t } f + a ( \xi ) . \nabla _ { x } f = \frac { M _ { f } - f } { \varepsilon },$ ; confidence 0.336 |
266. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f130290147.png ; $L = M , \phi ^ { \operatorname{op} } = \operatorname{id} _ { L }$ ; confidence 0.336 | 266. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f130290147.png ; $L = M , \phi ^ { \operatorname{op} } = \operatorname{id} _ { L }$ ; confidence 0.336 | ||
| Line 534: | Line 534: | ||
267. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130020/j13002063.png ; $I _ { \alpha }$ ; confidence 0.336 | 267. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130020/j13002063.png ; $I _ { \alpha }$ ; confidence 0.336 | ||
| − | 268. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130070/b13007063.png ; $ | + | 268. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130070/b13007063.png ; $a \mapsto a b $ ; confidence 0.336 |
269. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130120/a13012033.png ; $( q , q ^ { d - 2 } )$ ; confidence 0.336 | 269. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130120/a13012033.png ; $( q , q ^ { d - 2 } )$ ; confidence 0.336 | ||
| Line 540: | Line 540: | ||
270. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120250/d12025012.png ; $x \rightarrow x - \phi ( x )$ ; confidence 0.336 | 270. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120250/d12025012.png ; $x \rightarrow x - \phi ( x )$ ; confidence 0.336 | ||
| − | 271. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b120430126.png ; $\Delta u ^ { i } \square_j = u ^ { i } \square _ { | + | 271. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b120430126.png ; $\Delta u ^ { i } \square_j = u ^ { i } \square _ { a } \bigotimes u ^ { a } \square_j , \varepsilon u ^ { i } \square_j = \delta ^ { i } \square_j$ ; confidence 0.336 |
272. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290104.png ; $R ( I ) = \oplus _ { n \geq 0 } I ^ { n }$ ; confidence 0.336 | 272. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290104.png ; $R ( I ) = \oplus _ { n \geq 0 } I ^ { n }$ ; confidence 0.336 | ||
| Line 552: | Line 552: | ||
276. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110040/l11004012.png ; $x _ { 1 } , \dots , x _ { n } \in G$ ; confidence 0.336 | 276. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110040/l11004012.png ; $x _ { 1 } , \dots , x _ { n } \in G$ ; confidence 0.336 | ||
| − | 277. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120030/q12003028.png ; $X. ( f g ) = \mu ( \Delta X . ( f \ | + | 277. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120030/q12003028.png ; $X. ( f g ) = \mu ( \Delta X . ( f \bigotimes g ) ),$ ; confidence 0.335 |
| − | 278. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011017.png ; $\ | + | 278. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011017.png ; $\wedge{\hat { u }} = u$ ; confidence 0.335 |
279. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120270/m12027053.png ; $Q _ { j } ( z ) + P _ { j } ( z ) = 0 , \quad j = 1 , \dots , n,$ ; confidence 0.335 | 279. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120270/m12027053.png ; $Q _ { j } ( z ) + P _ { j } ( z ) = 0 , \quad j = 1 , \dots , n,$ ; confidence 0.335 | ||
| Line 562: | Line 562: | ||
281. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120160/m12016027.png ; $X = \left( \begin{array} { l } { X _ { 1 } } \\ { X _ { 2 } } \end{array} \right) , M = \left( \begin{array} { c } { M _ { 1 } } \\ { M _ { 2 } } \end{array} \right) , \Sigma = \left( \begin{array} { l l } { \Sigma _ { 11 } } & { \Sigma _ { 12 } } \\ { \Sigma _ { 21 } } & { \Sigma _ { 22 } } \end{array} \right),$ ; confidence 0.335 | 281. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120160/m12016027.png ; $X = \left( \begin{array} { l } { X _ { 1 } } \\ { X _ { 2 } } \end{array} \right) , M = \left( \begin{array} { c } { M _ { 1 } } \\ { M _ { 2 } } \end{array} \right) , \Sigma = \left( \begin{array} { l l } { \Sigma _ { 11 } } & { \Sigma _ { 12 } } \\ { \Sigma _ { 21 } } & { \Sigma _ { 22 } } \end{array} \right),$ ; confidence 0.335 | ||
| − | 282. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040459.png ; $\operatorname { Mod } ^ { *L } \mathcal{D} ( \ | + | 282. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040459.png ; $\operatorname { Mod } ^ { *\operatorname{L} } \mathcal{D} ( \mathsf{K} ) = ( \textbf{SPP} _ { \operatorname{U} } \mathsf{K} ) ^ { *\operatorname{L} } $ ; confidence 0.335 |
283. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t13013070.png ; $R \operatorname{Hom}_\Lambda ( T ,. ) : D ^ { b } ( \Lambda ) \rightarrow D ^ { b } ( \Gamma )$ ; confidence 0.335 | 283. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t13013070.png ; $R \operatorname{Hom}_\Lambda ( T ,. ) : D ^ { b } ( \Lambda ) \rightarrow D ^ { b } ( \Gamma )$ ; confidence 0.335 | ||
| − | 284. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a120160144.png ; $\overline { Q _ { it } } = n _ { i } q _ { it }$ ; confidence 0.335 | + | 284. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a120160144.png ; $\overline { Q _ { it } } = n _ { i } q _ { it },$ ; confidence 0.335 |
285. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s1305101.png ; $g : V \rightarrow \mathbf{Z} ^ { 0 }$ ; confidence 0.335 | 285. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s1305101.png ; $g : V \rightarrow \mathbf{Z} ^ { 0 }$ ; confidence 0.335 | ||
| − | 286. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130070/g13007029.png ; $ | + | 286. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130070/g13007029.png ; $a \in \varphi ( \mathcal{A} )$ ; confidence 0.335 |
| − | 287. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130090/t13009018.png ; $\pi_Y ( | + | 287. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130090/t13009018.png ; $\pi_Y ( a ) \in T _ { X }$ ; confidence 0.335 |
288. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035000/e03500093.png ; $H ( \mathcal{U} )$ ; confidence 0.335 | 288. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035000/e03500093.png ; $H ( \mathcal{U} )$ ; confidence 0.335 | ||
| Line 590: | Line 590: | ||
295. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i13005058.png ; $F + ( x ) = \sum _ { j = 1 } ^ { J } ( m _ { j } ^ { + } ) ^ { 2 } e ^ { - k _ { j } x } + \frac { 1 } { 2 \pi } \int _ { - \infty } ^ { \infty } r _ { + } ( k ) e ^ { i k x } d k$ ; confidence 0.334 | 295. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i13005058.png ; $F + ( x ) = \sum _ { j = 1 } ^ { J } ( m _ { j } ^ { + } ) ^ { 2 } e ^ { - k _ { j } x } + \frac { 1 } { 2 \pi } \int _ { - \infty } ^ { \infty } r _ { + } ( k ) e ^ { i k x } d k$ ; confidence 0.334 | ||
| − | 296. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130050/w1300505.png ; $W ( \mathfrak { g } ) = \bigwedge \mathfrak { g } ^ { * } \ | + | 296. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130050/w1300505.png ; $W ( \mathfrak { g } ) = \bigwedge \mathfrak { g } ^ { * } \bigotimes S \mathfrak { g } ^ { * },$ ; confidence 0.334 |
297. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130100/w13010010.png ; $B _ { a } ( x )$ ; confidence 0.334 | 297. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130100/w13010010.png ; $B _ { a } ( x )$ ; confidence 0.334 | ||
| − | 298. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t130050180.png ; $\sigma _ { T } ( ( L _ { A } , R _ { B } ) , \mathcal{L} ( \mathcal{H} ) ) = \sigma _ { T } ( | + | 298. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t130050180.png ; $\sigma _ { \operatorname{T} } ( ( L _ { A } , R _ { B } ) , \mathcal{L} ( \mathcal{H} ) ) = \sigma _ { \operatorname{T} } ( A , \mathcal{H} ) \times \sigma _ { T } ( B , \mathcal{H} )$ ; confidence 0.334 |
299. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120120/d12012049.png ; $\alpha ^ { \prime } = ( \alpha ^ { \prime_1 } , \ldots , \alpha ^ { \prime_m } )$ ; confidence 0.334 | 299. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120120/d12012049.png ; $\alpha ^ { \prime } = ( \alpha ^ { \prime_1 } , \ldots , \alpha ^ { \prime_m } )$ ; confidence 0.334 | ||
300. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240184.png ; $\eta _ { i .} - \eta _ { - }$ ; confidence 0.334 | 300. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240184.png ; $\eta _ { i .} - \eta _ { - }$ ; confidence 0.334 | ||
Revision as of 22:10, 10 May 2020
List
1. 
; $\operatorname { dist } _ { \lambda } ( \phi , \psi ) = \operatorname { limsup } _ { \zeta \rightarrow \lambda } | \phi ( \zeta ) - \psi ( \zeta ) |.$ ; confidence 0.354
2. 
; $\operatorname{GF} ( q ) ^ { n }$ ; confidence 0.354
3. 
; $a \in D$ ; confidence 0.354
4. 
; $\hat{L}$ ; confidence 0.354
5. 
; $V _ { n } = 0$ ; confidence 0.354
6. 
; $\Phi \in \otimes ^ { q} \mathcal{E}$ ; confidence 0.354
7. 
; $\alpha = ( \alpha _ { 1 } , \dots , \alpha _ { m } )$ ; confidence 0.354
8. 
; $l = 1,2 , \ldots$ ; confidence 0.354
9. 
; $f ( x ^ { * } ) \leq f ( x ) \text { for all } x \text{ near } x ^ { * };$ ; confidence 0.354
10. 
; $c_0 ( \Gamma )$ ; confidence 0.354
11. 
; $\mathfrak { p } _ { i } ( t ) = q _ { i } ( t ) \prod _ { m = 1 , m \neq i } ^ { n } ( t - t _ { m } ) ^ { r _ { m } } \quad ( i = 1 , \ldots , n ).$ ; confidence 0.353
12. 
; $W _ { \alpha } ^ { p }$ ; confidence 0.353
13. 
; $z \in \mathbf{C} ^ { n } \backslash \overline { D } _ { m }$ ; confidence 0.353
14. 
; $\sigma \in S _ { n }$ ; confidence 0.353
15. 
; $\operatorname{JB} ^ { * }$ ; confidence 0.353
16. 
; $I _ { i } = [ x _ { i - 1 / 2} , x _ { i + 1 / 2 } ]$ ; confidence 0.353
17. 
; $( X _ { n - 1 } , \theta _ { n - 1 } , \ldots )$ ; confidence 0.353
18. 
; $H_{ *} ( \overline { M } ) = H_{ *} ( F )$ ; confidence 0.353
19. 
; $\hat { f } _ { i } ^ { + } = f ( \hat { u } _ { i } ^ { + } )$ ; confidence 0.353
20. 
; $c_0 > 0$ ; confidence 0.353
21. 
; $\mathbf{C} [ y _ { 1 / 2} , y _ { 3 / 2} , \dots ]$ ; confidence 0.353
22. 
; $H ^ { * } ( F _ { n } , \mathbf{Z} ) \simeq \mathbf{Z} [ x _ { 1 } , \dots , x _ { n } ] / \mathbf{Z} ^ { + } [ x _ { 1 } , \dots , x _ { n } ] ^ { \mathcal{S} _ { n } }.$ ; confidence 0.353
23. 
; $a _ { 1 } f _ { 1 } + \ldots + a _ { m } f _ { m } = 1,$ ; confidence 0.353
24. 
; $K ^ { 2 } \times I \searrow L ^ { 2 }$ ; confidence 0.353
25. 
; $N / L$ ; confidence 0.353
26. 
; $x ^ { r }$ ; confidence 0.352
27. 
; $\kappa \leq | \operatorname { arc } z _ { j } | < \pi$ ; confidence 0.352
28. 
; $P _ { 1 } = \left( \begin{array} { c c c } { 0 } & { \square } & { q } \\ { r } & { \square } & { 0 } \end{array} \right) , Q _ { 2 } = \left( \begin{array} { c c } { - \frac { i } { 2 } q r } & { \frac { i } { 2 } q_x } \\ { - \frac { i } { 2 } r _ { x } } & { \frac { i } { 2 } q r } \end{array} \right).$ ; confidence 0.352
29. 
; $\xi _ { \underline{x}^*} : \mathbf{R} ^ { n } \rightarrow [ 0,1 ]$ ; confidence 0.352
30. 
; $= [ \sum _ { i = 0 } ^ { \infty } \sum _ { n = 0 } ^ { N } a _ { i } ^ { n } z ^ { n + i } ( \frac { \partial } { \partial z } ) ^ { n } ] [ \sum _ { k = 0 } ^ { \infty } c _ { k } ( \lambda ) z ^ { \lambda + k } ] =$ ; confidence 0.352
31. 
; $Q _ { 2 n+1} $ ; confidence 0.352
32. 
; $\operatorname{Co}\mathbf{A}$ ; confidence 0.351
33. 
; $G = \operatorname{GL} _ { m } ( K ) \times \operatorname{GL} _ { n } ( K )$ ; confidence 0.351
34. 
; $\widetilde{( \iota ^ { - 1 } g )}$ ; confidence 0.351
35. 
; $\left\{ \begin{array} { l } { j _ { 1 } \geq \ldots \geq j _ { s }; } \\ { i _ { s } \geq j _ { s } \geq 0 \quad \forall s , 1 \leq s \leq r, } \\ { j _ { 1 } > 0 .} \end{array} \right.$ ; confidence 0.351
36. 
; $\operatorname { lim } _ { n \rightarrow \infty } \{ \operatorname { inf } _ { C } \| R ^ { n } - C \| ^ { 1 / n } \} = 0,$ ; confidence 0.351
37. 
; $f : \mathbf{R} ^ { m } \rightarrow \mathbf{R} ^ { k }$ ; confidence 0.351
38. 
; $L ^ { + }$ ; confidence 0.351
39. 
; $\mathsf{A} ^ { 2 } \mathcal{E} \subset \otimes ^ { 2 } \mathcal{E}$ ; confidence 0.351
40. 
; $\mu_* ^ {- 1 } B _ { j }$ ; confidence 0.351
41. 
; $T _ { u }$ ; confidence 0.351
42. 
; $\mathbf{R} ^ { n + r }$ ; confidence 0.351
43. 
; $\omega _ { i }$ ; confidence 0.351
44. 
; $\mathcal{S} \operatorname{q} ^ { n } x _ { n } = x _ { n } ^ { 2 }$ ; confidence 0.350
45. 
; $f ( y ) - f ( x ) + \sigma \| y - x \| ^ { 2 } \geq \langle \zeta , y - x \rangle, \ \forall y \text{ near } x.$ ; confidence 0.350
46. 
; $\operatorname{mes}( E ) < \delta \Rightarrow \operatorname { mes } ( f ( E ) ) < \epsilon.$ ; confidence 0.350
47. 
; $\mathbf{R} ^ { p_1 n_1 } $ ; confidence 0.350
48. 
; $\mathsf{P} [ X ^ { * } > \lambda ] \leq C e ^ { - \lambda / e }$ ; confidence 0.350
49. 
; $J$ ; confidence 0.350
50. 
; $\sum _ { k = 0 } ^ { r ( P ) } \frac { | \mathcal{F} \cap N _ { k } | } { | N _ { k } | } \leq 1$ ; confidence 0.350
51. 
; $x = \operatorname { col } ( x _ { 1 } \ldots x _ { n } )$ ; confidence 0.350
52. 
; $\mathcal{A}( \Omega ) = \mathcal{B} / \mathcal{I}_{ 0 , \operatorname { loc }}$ ; confidence 0.350
53. 
; $q = \frac { n_1 - n_2 } { n_1 + n_2 }.$ ; confidence 0.350
54. 
; $| I |$ ; confidence 0.350
55. 
; $\tau_1$ ; confidence 0.350
56. 
; $m _ { i - 1 } = a _ { i - 1 } m _ { i } + m _ { i + 1 } , i = 1,2 , \dots ,$ ; confidence 0.350
57. 
; $\operatorname { min } _ { r = m + 1 , \ldots , m + K } | G _ { 1 } ( r ) | \geq \frac { 1 } { P _ { m , K } } \left| \sum _ { j = 1 } ^ { n } P _ { j } ( 0 ) \right|$ ; confidence 0.350
58. 
; $\sum _ { n = 0 } ^ { \infty } \left\{ \sum _ { m = 1 } ^ { \infty } \left[ \sum _ { k = m 2 ^ { n } } ^ { ( m + 1 ) 2 ^ { n } - 1 } | \Delta d _ { k } | \right] ^ { 2 } \right\} ^ { 1 / 2 } < \infty.$ ; confidence 0.350
59. 
; $\Pi ( M ) _ { \overline{U}} = M _ { \overline{\text{l}} }$ ; confidence 0.349
60. 
; $u \in E$ ; confidence 0.349
61. 
; $u = h _ { x }$ ; confidence 0.349
62. 
; $\mathcal{N} _ { \operatorname{Aut} \Gamma } ( G ) = G . \operatorname { Aut } ( G , S ),$ ; confidence 0.349
63. 
; $f : V ^ { n } \rightarrow W ^ { p }$ ; confidence 0.349
64. 
; $\# \Omega \geq 2$ ; confidence 0.349
65. 
; $A ( \tilde{g} ) = 0 \in \mathsf{S} ^ { 2 } \tilde{\mathcal{E}}$ ; confidence 0.349
66. 
; $f ( z , z_0 ) = \frac { 1 } { K _ { D } ( z_0 , z _ { 0 } ) } \int _ { z _ { 0 } } ^ { z } K _ { D } ( t , z _ { 0 } ) d t.$ ; confidence 0.349
67. 
; $( C ) \int _ { X } f d m = \sum _ { i = 1 } ^ { n } ( a _ { i } - a _ { i - 1 } ) m ( B _ { i } ),$ ; confidence 0.349
68. 
; $F _ { n }$ ; confidence 0.349
69. 
; $w _ { i } ^ { 1 } = \ldots = w _ { i } ^ { q }$ ; confidence 0.349
70. 
; $ k \in [ m + 1 , m + n ]$ ; confidence 0.349
71. 
; $\operatorname{id}$ ; confidence 0.349
72. 
; $U _ { L }$ ; confidence 0.348
73. 
; $a,b \in U ( \varepsilon )$ ; confidence 0.348
74. 
; $\omega = \sum g _ { \alpha \overline{\beta} } d z ^ { \alpha } \wedge d \overline{z} \square ^ { \beta }$ ; confidence 0.348
75. 
; $0 \neq I _ { \delta } \triangleleft R$ ; confidence 0.348
76. 
; $( \alpha _ { 1 } , \alpha _ { 2 } \cup \gamma , \ldots , \alpha _ { q } ) , \ldots ,$ ; confidence 0.348
77. 
; $\| T \| < \mu ( A )$ ; confidence 0.348
78. 
; $f ( x , u_1 , \ldots , u _ { n } )$ ; confidence 0.348
79. 
; $r_i$ ; confidence 0.348
80. 
; $x _ { 1 } , \ldots , x _ { n }$ ; confidence 0.348
81. 
; $H = c \frac { \hbar } { i } \vec { \alpha } . \vec { \nabla } + \vec { \beta } m _ { 0 } c ^ { 2 }.$ ; confidence 0.348
82. 
; $n _ { 1 } , \ldots , n _ { k }$ ; confidence 0.348
83. 
; $( a * b ) * ( c * d ) = ( a * c ) * ( b * d )$ ; confidence 0.348
84. 
; $x ^ { * }$ ; confidence 0.348
85. 
; $\| \mathbf{U }^ { n } - \mathbf{u} ^ { n } \| \leq \| \mathbf{U} ^ { 0 } - \mathbf{u} ^ { 0 } \| + O ( h ^ { 2 } + k ^ { 2 } ),$ ; confidence 0.348
86. 
; $F : \overline { U } \rightarrow \mathbf{R} ^ { n }$ ; confidence 0.348
87. 
; $S_i \in \mathbf{F} _ { q }$ ; confidence 0.348
88. 
; $u=0 \text{ on the boundary of } \Omega.$ ; confidence 0.347
89. 
; $e ( Q _ { n } , F _ { d } ) = \operatorname { sup } \{ | I _ { d } ( f ) - Q _ { n } ( f ) | : f \in F _ { d } \}$ ; confidence 0.347
90. 
; $H _ { f } = P ( d f ) \in \mathfrak{X} ( M , P )$ ; confidence 0.347
91. 
; $R = \left( \begin{array} { l l } { R _ { 11 } } & { R _ { 12 } } \\ { R _ { 21 } } & { R _ { 22 } } \end{array} \right) , F = \left( \begin{array} { l l } { F _ { 1 } } & { 0 } \\ { F _ { 2 } } & { F _ { 3 } } \end{array} \right),$ ; confidence 0.347
92. 
; $\mathbf{f} \in R ^ { l }$ ; confidence 0.347
93. 
; $\Psi_1$ ; confidence 0.347
94. 
; $\operatorname { sup } _ { 0 < | y | < \pi } \left| \int _ { - \infty } ^ { \infty } \varphi ( x ) e ^ { - i y x } d x - \sum _ { - \infty } ^ { \infty } \varphi ( k ) e ^ { - i k x } \right| \leq C \| \varphi \| _ { \operatorname{BV} },$ ; confidence 0.347
95. 
; $N$ ; confidence 0.347
96. 
; $\hat{c} ^ { 1_k } $ ; confidence 0.347
97. 
; $A _ { \alpha } \simeq K _ { \rho _ { \alpha } }$ ; confidence 0.347
98. 
; $\frac { U _ { h } ^ { n + 1 } - U _ { h } ^ { n } } { k } = \frac { 1 } { 2 } F _ { h } ( t _ { n } , U _ { h } ^ { n } ) + \frac { 1 } { 2 } F _ { h } ( t _ { n +1 } , U _ { h } ^ { n + 1 } ),$ ; confidence 0.347
99. 
; $\operatorname{HF} _ { * } ^ { \operatorname{inst} } ( Y , P _ { Y } )$ ; confidence 0.347
100. 
; $c _ { 0 } \equiv 1$ ; confidence 0.347
101. 
; $\alpha _ { n } / \tau _ { n } = O ( 1 )$ ; confidence 0.347
102. 
; $R ^ { - \# } = \tilde{I} R ^ { - 1 } \tilde{I}$ ; confidence 0.347
103. 
; $\operatorname{ rank }_Z E _ { 1 } ( k ) = \operatorname { rank } _ { Z p } E _ { 1 } ( k )$ ; confidence 0.346
104. 
; $B _ { c }$ ; confidence 0.346
105. 
; $X_r ^ { * }$ ; confidence 0.346
106. 
; $\forall x ( ( \neg x = \emptyset ) \rightarrow \exists y ( y \in x \bigwedge \forall z ( z \in x \rightarrow \neg z \in y ) ) ).$ ; confidence 0.346
107. 
; $\sum _ { n = 0 } ^ { \infty } G ^ { \# } ( n ) y ^ { n } = \prod _ { m = 1 } ^ { \infty } ( 1 - y ^ { m } ) ^ { - P ^ { \# } ( m ) };$ ; confidence 0.346
108. 
; $\phi _ { \operatorname{int} } = \phi _ { 0 } + \frac { \gamma b ^ { 2 } \kappa } { 12 \mu }.$ ; confidence 0.346
109. 
; $\partial _ { t } \overline{z( \Gamma , t )} = ( 2 \pi i ) ^ { - 1 } \operatorname{PV} \int _ { - \infty } ^ { \infty } \frac { d \Gamma ^ { \prime } } { z ( \Gamma , t ) - z ( \Gamma ^ { \prime } , t ) }.$ ; confidence 0.346
110. 
; $\mathfrak{S}_p$ ; confidence 0.346
111. 
; $\mathcal{L} ( A ) = \int _ { M } \langle F _ { A } \wedge * F _ { A } \rangle$ ; confidence 0.346
112. 
; $z \in \mathbf{C} ^ { n }$ ; confidence 0.346
113. 
; $( \operatorname{ad} X ) ( Y ) = [ X , Y ] , X , Y \in \mathfrak { g },$ ; confidence 0.346
114. 
; $r _ { i } = r _ { i } ^ { * } + \alpha _ { i }$ ; confidence 0.346
115. 
; $K = L$ ; confidence 0.346
116. 
; $V ^ { \lambda } : = \{ v \in V : h . v = \lambda ( h ) v \}$ ; confidence 0.346
117. 
; $\vdash ( \lambda x . x ) : ( \sigma \rightarrow \sigma )$ ; confidence 0.346
118. 
; $Z _ { j } / Z$ ; confidence 0.345
119. 
; $t ( r + 1 , r ) \leq \frac { \operatorname { ln } r } { 2 r } ( 1 + \circ ( 1 ) )$ ; confidence 0.345
120. 
; $d _ { \operatorname{out} } \leq 2$ ; confidence 0.345
121. 
; $\operatorname { log } \alpha _ { n } = o ( \operatorname { log } n )$ ; confidence 0.345
122. 
; $\mathcal{O} _ { \mathcal{H} }$ ; confidence 0.345
123. 
; $\leq F _ { \alpha ; q , n - \gamma }$ ; confidence 0.345
124. 
; $x \in E$ ; confidence 0.345
125. 
; $\mathbf{Z} [ x _ { 1 } , \ldots , x _ { n } ]$ ; confidence 0.345
126. 
; $\psi _ { \operatorname{w} } ( x , p , t ) = \int _ { \mathbf{R} ^ { 3 N } } e ^ { i p z / \hbar } \overline { \psi } \left( x + \frac { z } { 2 } , t \right) \psi \left( x - \frac { z } { 2 } , t \right) d z,$ ; confidence 0.345
127. 
; $f _ { b } = \sum _ { r \ni b } F _ { r }$ ; confidence 0.345
128. 
; $m _{Y _ { 1 } , \operatorname{obs}} ( \{ y _ { 1,1 } , y _ { 1,3 } , , y _ { 1,8 } \} ) = 1$ ; confidence 0.345
129. 
; $\operatorname { ord } _ { T } ( d \tau _ { i } / d \tau )$ ; confidence 0.345
130. 
; $a \in \mathfrak { g } ^ { n_1 \alpha _ { 1 } + \ldots }$ ; confidence 0.345
131. 
; $\mathcal{W}$ ; confidence 0.345
132. 
; $f _ { n } \in H ^ { 0 }$ ; confidence 0.345
133. 
; $a_k$ ; confidence 0.345
134. 
; $a_k$ ; confidence 0.345
135. 
; $B_E$ ; confidence 0.345
136. 
; $H ^ { 1 } ( \overline { Y _ { 1 } ( N ) } ; \operatorname { Sym } ^ { k - 2 } R ^ { 1 } \overline { f } *\mathbf{Z} _ { p } ) \bigotimes \mathbf{Q} _ { p },$ ; confidence 0.344
137. 
; $D _ { \xi } = ( 1 , v _ { 1 } , \dots , v _ { N } , | v | ^ { 2 } / 2 + I ^ { 2 } / 2 ) \mathbf{R} _ { + }$ ; confidence 0.344
138. 
; $[ . ,. ]_A$ ; confidence 0.344
139. 
; $f ( x ) = \int _ { \partial B ( x _ { 0 } , r ) } P ( x , \xi ) f ( \xi ) d \sigma ( \xi ),$ ; confidence 0.344
140. 
; $\sum _ { n \leq x } S ( n ) = A _ { 2 } x + O ( \sqrt { x } ) \quad \text { as } x \rightarrow \infty,$ ; confidence 0.344
141. 
; $c_1 , \ldots , c_n \in \mathbf{C}$ ; confidence 0.344
142. 
; $\Rightarrow w ( x _ { 1 } , \dots , x _ { n } ) = e,$ ; confidence 0.344
143. 
; $\operatorname{cat} ( X ) \leq 1$ ; confidence 0.344
144. 
; $\vdash _ { \mathcal{D} }$ ; confidence 0.344
145. 
; $x \in H$ ; confidence 0.344
146. 
; $\|hF\|_p \geq \|hg\|_p$ ; confidence 0.344
147. 
; $\| ( x _ { n } + x ) / 2 \| \rightarrow \| x \|$ ; confidence 0.344
148. 
; $= | t | ^ { - n } \int \int e ^ { - 2 i \pi t ^ { - 1 } y \cdot \eta } { a ( x + y , \xi + \eta ) d y d \eta },$ ; confidence 0.344
149. 
; $A ^ { * } = ( a _ { i , j } ) ^ { * } = ( \overline { a _ { j , i } } )$ ; confidence 0.344
150. 
; $\frac { n ^ { 1 / 4 } } { ( \operatorname { log } n ) ^ { 1 / 2 } } \| \alpha _ { n } + \beta _ { n } \| \stackrel { d } { \rightarrow } \| B \| ^ { 1 / 2 },$ ; confidence 0.344
151. 
; $\| x \| _ { 2 } = \left( \sum _ { i } | x _ { i } | ^ { 2 } \right) ^ { 1 / 2 } , \| x \| _ { \infty } = \operatorname { max } _ { i } | x _ { i } |,$ ; confidence 0.344
152. 
; $\mathbf{Z} / n \mathbf{Z}$ ; confidence 0.344
153. 
; $e _ { 0 } = y _ { 0 } - \overset{\rightharpoonup} { x } _ { 0 } ^ { t} \overset{\rightharpoonup} { \theta }$ ; confidence 0.343
154. 
; $( \mathcal{K}, - [. , .] )$ ; confidence 0.343
155. 
; $\operatorname { Ext } _ { \Delta } ^ { i } ( T , T ) = 0$ ; confidence 0.343
156. 
; $w$ ; confidence 0.343
157. 
; $x _ { j } ^ { \prime } = \sum _ { i , k } p _ { i k,j } x_i x _ { k } , \quad x _ { i } \geq 0 , \sum _ { i } x _ { i } = 1.$ ; confidence 0.343
158. 
; $\| r\|$ ; confidence 0.343
159. 
; $( F _ { n } ) _ { n \in \mathbf{N} }$ ; confidence 0.343
160. 
; $h _ { 1 } ^ { \prime }$ ; confidence 0.343
161. 
; $f ( v ) = \frac { \rho } { ( 2 \pi T ) ^ { N / 2 } } e ^ { - |v - u| ^ { 2 } / 2 T },$ ; confidence 0.343
162. 
; $99 \%$ ; confidence 0.343
163. 
; $\dim W \geq 5$ ; confidence 0.343
164. 
; $\{ c _ { n } \} _ { n = 0 } ^ { \infty }$ ; confidence 0.343
165. 
; $\| P ( D ) ( \phi ) \| _ { 2 } \geq C \| \phi \| _ { 2 } ( L ^ { 2 } \text { norms } ).$ ; confidence 0.343
166. 
; $\{ F ( z _ { n } ) \}$ ; confidence 0.343
167. 
; $\alpha \in \widetilde{ D }$ ; confidence 0.342
168. 
; $\| \lambda \theta ^ { n } \| \rightarrow 0$ ; confidence 0.342
169. 
; $\Psi ( y \bigotimes x ) = q x \bigotimes y + ( q ^ { 2 } - 1 ) y \bigotimes x.$ ; confidence 0.342
170. 
; $t \leq T$ ; confidence 0.342
171. 
; $\operatorname { lim } _ { n \rightarrow \infty } \mathsf{P} \{ X ^ { 2 } \leq x | H _ { 0 } \} = \mathsf{P} \{ \chi _ { k - 1 } ^ { 2 } \leq x \}.$ ; confidence 0.342
172. 
; $\{ f _ { i } \} _ { 1 } ^ { n _ { 1 } }$ ; confidence 0.342
173. 
; $...$ ; confidence 0.342
174. 
; $a _ { i i } = 0$ ; confidence 0.342
175. 
; $a : g \rightarrow g ^ { \prime }$ ; confidence 0.342
176. 
; $\mathbf{R} ^ { p \times n }$ ; confidence 0.342
177. 
; $A| _ { \mathcal{L} }$ ; confidence 0.342
178. 
; $d \gamma = | \langle v , N _ { x } \rangle | d v d x$ ; confidence 0.342
179. 
; $0 \rightarrow A \stackrel { f } { \rightarrow } B \stackrel { g } { \rightarrow } C \rightarrow 0$ ; confidence 0.342
180. 
; $\widetilde{ \Sigma }$ ; confidence 0.342
181. 
; $= \int _ { M } \sigma ^ { k + 1* } [ \Omega ( d L \Delta ) ( Z ^ { k + 1 } ) ].$ ; confidence 0.342
182. 
; $\operatorname{dom} a_1= \operatorname { dom } a_1'$ ; confidence 0.342
183. 
; $g \tilde { h } = h$ ; confidence 0.342
184. 
; $t _ { n } ( x ) = \frac { c _ { n } } { s } \left( 1 + \frac { ( x - m ) ^ { 2 } } { s ^ { 2 } n } \right) ^ { - ( n + 1 ) / 2 }$ ; confidence 0.342
185. 
; $\tilde{x}$ ; confidence 0.342
186. 
; $\sum _ { i = 0 } ^ { m } a _ { m - i } [ A _ { 1 } ^ { m - i } , A _ { 1 } ^ { n - i - 1 } A _ { 2 } ] = 0.$ ; confidence 0.342
187. 
; $D ^ { \alpha } = D _ { 1 } ^ { \alpha _ { 1 } } \ldots D _ { n } ^ { \alpha _ { n } }$ ; confidence 0.342
188. 
; $C ^ { \infty } ( \mathbf{R} ^ { m } , \mathbf{R} )$ ; confidence 0.341
189. 
; $\mu ( A ) = \operatorname { inf } \{ \| T \| : \alpha ( A - T ) = \infty \}$ ; confidence 0.341
190. 
; $\{ \mathbf{P} , + , . , \vee , \wedge \}$ ; confidence 0.341
191. 
; $a _ { m } = m ^ { 1 / p }$ ; confidence 0.341
192. 
; $D A$ ; confidence 0.341
193. 
; $\frac { \max_{k = m + 1 , \ldots , m + n}| g ( k ) | } { \sum _ { j = 1 } ^ { n } | b _ { j } z _ { j } ^ { k } | } \geq \frac { 1 } { n } ( \frac { \delta } { 2 } ) ^ { n - 1 }.$ ; confidence 0.341
194. 
; $=\frac { 1 } { 2 \sqrt { 2 \pi } } \int _ { 0 } ^ { \infty } \int _ { 0 } ^ { \infty } \operatorname { exp } \left( - \frac { 1 } { 2 } \left( \frac { x u } { v } + \frac { x v } { u } + \frac { u v } { x } \right) \right) \times \times \left( \frac { 1 } { x } + \frac { 1 } { u } + \frac { 1 } { v } \right) f ( u ) g ( v ) d u d v.$ ; confidence 0.341
195. 
; $\mathcal{E} _ { \operatorname{wor} } ( P , m ) = \operatorname { sup } _ { p \in P } | \epsilon ( p , m ) |$ ; confidence 0.341
196. 
; $L _ { 2 } ^ { \prime \prime }$ ; confidence 0.341
197. 
; $M _ { \operatorname{p} }$ ; confidence 0.341
198. 
; $v _ { t } / r ^ { t }$ ; confidence 0.341
199. 
; $n \in I$ ; confidence 0.341
200. 
; $V ^ { * } = V \bigcup V _ { 1 } \bigcup \ldots \bigcup V _ { t },$ ; confidence 0.340
201. 
; $P ( T ) = T ^ { n } + a _ { n - 1 } T ^ { n - 1 } + \ldots + a _ { 0 }$ ; confidence 0.340
202. 
; $V = V _ { \bar{0}} \oplus V _ { \bar{1} }$ ; confidence 0.340
203. 
; $= \sum _ { k , l } A _ { k l } \int _ { \mathbf{R} ^ { 3 N } } e ^ { i p z / \hbar } u _ { k } \left( x - \frac { z } { 2 } \right) \overline { u_l } \left( x + \frac { z } { 2 } \right) d z.$ ; confidence 0.340
204. 
; $\left( \frac { \partial \phi } { \partial t } \right) | _ { x _ { k } ^ { 0 } } = \frac { D \phi } { D t } , \left( \frac { \partial \phi } { \partial t } \right) | _ { x _ { i } } = \frac { \partial \phi } { \partial t } , \left( \frac { \partial x _ { i } } { \partial t } \right) | _ { x _ { k } ^ { 0 } } = v _ { i }.$ ; confidence 0.340
205. 
; $\mathcal{T}_{g,n} $ ; confidence 0.340
206. 
; $S _ { i } ^ { * } S _ { j } = 0 , i \neq j,$ ; confidence 0.340
207. 
; $f ( x ) = \frac { 1 } { 4 \pi ^ { 2 } } \int _ { S ^ { 1 } } \int _ { - \infty } ^ { \infty } \frac { \hat { f } \rho ( \alpha , p ) } { \alpha . x - p } d p d \alpha,$ ; confidence 0.340
208. 
; $\geq 2$ ; confidence 0.340
209. 
; $\{ e _ { 1 } , \ldots , e _ { n } \}$ ; confidence 0.340
210. 
; $\operatorname{PH}$ ; confidence 0.340
211. 
; $T _ { i }$ ; confidence 0.340
212. 
; $( \beta _ { i 0 } , \ldots , \beta _ { i k } )$ ; confidence 0.339
213. 
; $p ^ { r}$ ; confidence 0.339
214. 
; $\operatorname{clos} ( N \backslash L )$ ; confidence 0.339
215. 
; $\operatorname{spec} T ( a ) = \operatorname { Ran } ( a ) \bigcup \{ z \notin \operatorname { Ran } ( a ) : \text { wind } ( a - z ) \neq 0 \}.$ ; confidence 0.339
216. 
; $K _ { 2 } ( m \times m ) = I _ { m }$ ; confidence 0.339
217. 
; $d S _ { t } = \mu S _ { t } d t + \sigma S _ { t } d w _ { t },$ ; confidence 0.339
218. 
; $ i = 0$ ; confidence 0.339
219. 
; $p_j$ ; confidence 0.339
220. 
; $G ^ { * * }$ ; confidence 0.339
221. 
; $a \in P$ ; confidence 0.339
222. 
; $\mathcal{H} _ { k } ( x ) = ( - 1 ) ^ { n } e ^ { x ^ { 2 } / 2 } D _ { x } ^ { k } e ^ { - x ^ { 2 } / 2 }$ ; confidence 0.339
223. 
; $A ( 0 ) u_0 + f ( 0 ) \in \overline { D ( A ( 0 ) ) }$ ; confidence 0.339
224. 
; $\{ A ; \} _ { i = 1 } ^ { n } \subset \mathcal{A}$ ; confidence 0.339
225. 
; $F * = q * p * ^ { - 1 }$ ; confidence 0.339
226. 
; $\operatorname { Int } _ { \tau } A$ ; confidence 0.339
227. 
; $\int _ { a } ^ { b } p ( x ) f ( x ) d x \approx Q _ { 2 ^ {i} ( n + 1 ) - 1 } [ f ] =$ ; confidence 0.339
228. 
; $\operatorname{dom} \alpha_{j+1}^{\prime} = \operatorname { codom } \alpha _ { j } ^ { \prime }$ ; confidence 0.339
229. 
; $\Sigma _ { n = 1 } ^ { \infty } | x ^ { * } ( x _ { n } ) | < \infty$ ; confidence 0.339
230. 
; $p_z$ ; confidence 0.338
231. 
; $\widehat{\mathbf{C}}$ ; confidence 0.338
232. 
; $| \operatorname { Im } \zeta | / | \operatorname { Re } \zeta | \rightarrow 0$ ; confidence 0.338
233. 
; $( x _ { j _ { 1 } } , \dots , x _ { j _ { k } } )$ ; confidence 0.338
234. 
; $\langle x y z \rangle : = \langle y , z \rangle x$ ; confidence 0.338
235. 
; $\widetilde{ K } ^ { 0 } ( \check{\pi} _ { 1 } ( X , * ) )$ ; confidence 0.338
236. 
; $\widetilde{ g } = \text { Lie } ( G )$ ; confidence 0.338
237. 
; $Q _ { n } : Y \rightarrow X _ { n }$ ; confidence 0.338
238. 
; $= \left( \frac { e ^ { \sum _ { 1 } ^ { \infty } x _ { i } ^ { i } z ^ { i } } \tau _ { n } ( x - [ z ^ { - 1 } ] , y ) z ^ { n } } { \tau _ { n } ( x , y ) } \right) _ { n \in \mathbf{Z} } , \Psi _ { 2 } ( z ) = e ^ { \sum _ { 1 } ^ { \infty } y _ { i } z ^ { - i } } S _ { 2 } \chi ( z ) =$ ; confidence 0.338
239. 
; $( \rho _ { \varepsilon } ) _ { \varepsilon > 0 } \subset \mathcal{D} ( \mathbf{R} ^ { n } )$ ; confidence 0.338
240. 
; $\frac { \mathcal{D} \xi ^ { i } } { d t } = \frac { d \xi ^ { i } } { d t } + \frac { 1 } { 2 } g ^ { i _{ ;r}} \xi ^ { r },$ ; confidence 0.338
241. 
; $a ( e ^ { i \theta } ) = b ( e ^ { i \theta } ) \prod _ { r = 1 } ^ { R } \omega _ { \alpha _ { r } , \beta _ { r } } ( e ^ { i ( \theta - \theta _ { r } ) } ),$ ; confidence 0.338
242. 
; $\frac { \mu _ { n } ( x ) } { \mu _ { n } } \approx \Delta \frac { 1 } { x } = \frac { 1 } { x ( x + 1 ) } , x = 1,2 , \dots,$ ; confidence 0.338
243. 
; $\mathfrak { A } = \langle \mathbf{A} , \mathcal{C} \rangle$ ; confidence 0.337
244. 
; $q_i$ ; confidence 0.337
245. 
; $P \in \mathcal{P}$ ; confidence 0.337
246. 
; $y \underset{ \sim}{\succ}_{i} z$ ; confidence 0.337
247. 
; $\mathfrak { p } _ { i } ( t ) = \prod _ { m = 1 , m \neq i } ^ { n } \frac { t - t _ { m } } { t _ { i } - t _ { m } } \quad ( i = 1 , \ldots , n ).$ ; confidence 0.337
248. 
; $\hat{y}_ { i }$ ; confidence 0.337
249. 
; $|.|_{\operatorname{p}}$ ; confidence 0.337
250. 
; $W ( A )$ ; confidence 0.337
251. 
; $\rho _ { n + 1} = \Phi _ { n + 1 } ( 0 )$ ; confidence 0.337
252. 
; $p ( a , t ) = \operatorname c_0 e ^ { \lambda ^ { * } ( t - a ) } \Pi ( a ) ( 1 + \Omega ( t - a ) ),$ ; confidence 0.337
253. 
; $a , b \in B$ ; confidence 0.337
254. 
; $( \lambda x . f ( x ) ) . e = f ( e )$ ; confidence 0.337
255. 
; $m_0 = n , m_1 = a,$ ; confidence 0.337
256. 
; $\left( \begin{array} { c } { 0 } \\ { G _ { i + 1 } } \end{array} \right) = Z _ { i } G _ { i } \Theta _ { i } \left( \begin{array} { c c } { 1 } & { 0 } \\ { 0 } & { 0 } \end{array} \right) + G _ { i } \Theta _ { i } \left( \begin{array} { c c } { 0 } & { 0 } \\ { 0 } & { I _ { p + q - 1 } } \end{array} \right),$ ; confidence 0.337
257. 
; $G = \operatorname{GL} _ { n } ( K )$ ; confidence 0.337
258. 
; $( ( X _ { n + 1 } , B _ { n + 1 } ) , f _ { n + 1 } ) = ( ( X _ { n } ^ { + } , ( \phi _ { * } ^ { + } ) ^ { - 1 } \phi _ { * } B _ { n } ) , f _ { n } \circ \phi ^ { - 1 } \circ \phi ^ { + } )$ ; confidence 0.337
259. 
; $G_{*}$ ; confidence 0.337
260. 
; $\|x \|_X \| y \| _ { X ^ { \prime } } \leq ( 1 + \epsilon ) \| f \| _ { L _ { 1 } }$ ; confidence 0.337
261. 
; $( \mathcal{L} _ { h k } U ) _ { j } ^ { n } \equiv 0$ ; confidence 0.337
262. 
; $R [ K _ { x } ( x _ { \nu } , . ) ] = 0 , \quad \nu = 2 , \dots , n - 1,$ ; confidence 0.336
263. 
; $\int _ { D } z ^ { n } | \varphi ( z ) | ^ { p } d A ( z ) = 0$ ; confidence 0.336
264. 
; $c_ { 1 } ( A )$ ; confidence 0.336
265. 
; $\partial _ { t } f + a ( \xi ) . \nabla _ { x } f = \frac { M _ { f } - f } { \varepsilon },$ ; confidence 0.336
266. 
; $L = M , \phi ^ { \operatorname{op} } = \operatorname{id} _ { L }$ ; confidence 0.336
267. 
; $I _ { \alpha }$ ; confidence 0.336
268. 
; $a \mapsto a b $ ; confidence 0.336
269. 
; $( q , q ^ { d - 2 } )$ ; confidence 0.336
270. 
; $x \rightarrow x - \phi ( x )$ ; confidence 0.336
271. 
; $\Delta u ^ { i } \square_j = u ^ { i } \square _ { a } \bigotimes u ^ { a } \square_j , \varepsilon u ^ { i } \square_j = \delta ^ { i } \square_j$ ; confidence 0.336
272. 
; $R ( I ) = \oplus _ { n \geq 0 } I ^ { n }$ ; confidence 0.336
273. 
; $x _ { l }$ ; confidence 0.336
274. 
; $u _ { i } ^ { n }$ ; confidence 0.336
275. 
; $v \in L ^ { \infty } ( \mathbf{R}^ { n } )$ ; confidence 0.336
276. 
; $x _ { 1 } , \dots , x _ { n } \in G$ ; confidence 0.336
277. 
; $X. ( f g ) = \mu ( \Delta X . ( f \bigotimes g ) ),$ ; confidence 0.335
278. 
; $\wedge{\hat { u }} = u$ ; confidence 0.335
279. 
; $Q _ { j } ( z ) + P _ { j } ( z ) = 0 , \quad j = 1 , \dots , n,$ ; confidence 0.335
280. 
; $x _ { 1 } < \ldots < x _ { m }$ ; confidence 0.335
281. 
; $X = \left( \begin{array} { l } { X _ { 1 } } \\ { X _ { 2 } } \end{array} \right) , M = \left( \begin{array} { c } { M _ { 1 } } \\ { M _ { 2 } } \end{array} \right) , \Sigma = \left( \begin{array} { l l } { \Sigma _ { 11 } } & { \Sigma _ { 12 } } \\ { \Sigma _ { 21 } } & { \Sigma _ { 22 } } \end{array} \right),$ ; confidence 0.335
282. 
; $\operatorname { Mod } ^ { *\operatorname{L} } \mathcal{D} ( \mathsf{K} ) = ( \textbf{SPP} _ { \operatorname{U} } \mathsf{K} ) ^ { *\operatorname{L} } $ ; confidence 0.335
283. 
; $R \operatorname{Hom}_\Lambda ( T ,. ) : D ^ { b } ( \Lambda ) \rightarrow D ^ { b } ( \Gamma )$ ; confidence 0.335
284. 
; $\overline { Q _ { it } } = n _ { i } q _ { it },$ ; confidence 0.335
285. 
; $g : V \rightarrow \mathbf{Z} ^ { 0 }$ ; confidence 0.335
286. 
; $a \in \varphi ( \mathcal{A} )$ ; confidence 0.335
287. 
; $\pi_Y ( a ) \in T _ { X }$ ; confidence 0.335
288. 
; $H ( \mathcal{U} )$ ; confidence 0.335
289. 
; $n \in \mathbf{N} : = \{ 1,2 , \ldots \} , z \in \mathbf{C} \backslash \mathbf{Z} _ { 0 } ^ { - },$ ; confidence 0.335
290. 
; $= b _ { 1 } u ( t - 1 ) + \ldots + b _ { m } u ( t - m ) + e ( t ),$ ; confidence 0.335
291. 
; $\langle \textbf{Me} _ { \mathcal{S} _ { P } } \mathfrak { M } , F _ { \mathcal{S} _ { P } } \mathfrak { M } \rangle$ ; confidence 0.335
292. 
; $ k = k + 1$ ; confidence 0.335
293. 
; $0 \neq I \triangleleft R$ ; confidence 0.335
294. 
; $\operatorname { ev } _ { X } ( 1 \otimes \xi _ { i } ) = 0$ ; confidence 0.334
295. 
; $F + ( x ) = \sum _ { j = 1 } ^ { J } ( m _ { j } ^ { + } ) ^ { 2 } e ^ { - k _ { j } x } + \frac { 1 } { 2 \pi } \int _ { - \infty } ^ { \infty } r _ { + } ( k ) e ^ { i k x } d k$ ; confidence 0.334
296. 
; $W ( \mathfrak { g } ) = \bigwedge \mathfrak { g } ^ { * } \bigotimes S \mathfrak { g } ^ { * },$ ; confidence 0.334
297. 
; $B _ { a } ( x )$ ; confidence 0.334
298. 
; $\sigma _ { \operatorname{T} } ( ( L _ { A } , R _ { B } ) , \mathcal{L} ( \mathcal{H} ) ) = \sigma _ { \operatorname{T} } ( A , \mathcal{H} ) \times \sigma _ { T } ( B , \mathcal{H} )$ ; confidence 0.334
299. 
; $\alpha ^ { \prime } = ( \alpha ^ { \prime_1 } , \ldots , \alpha ^ { \prime_m } )$ ; confidence 0.334
300. 
; $\eta _ { i .} - \eta _ { - }$ ; confidence 0.334
Maximilian Janisch/latexlist/latex/NoNroff/66. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/NoNroff/66&oldid=45864