Difference between revisions of "User:Maximilian Janisch/latexlist/latex/NoNroff/68"
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== List == | == List == | ||
| − | 1. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b11022095.png ; $H _ { \mathcal{D} } ^ { i } ( X , A ( j ) )$ ; confidence 0.312 | + | 1. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b11022095.png ; $H _ { \mathcal{D} } ^ { i } ( X , A ( \,j ) )$ ; confidence 0.312 |
2. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017010/b0170103.png ; $A _ { k }$ ; confidence 0.312 | 2. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017010/b0170103.png ; $A _ { k }$ ; confidence 0.312 | ||
| − | 3. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130210/c13021015.png ; $a_3 = 4 , a _ { i + 3} = | + | 3. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130210/c13021015.png ; $a_3 = 4 ,\; a _ { i + 3} = a _ { i }.$ ; confidence 0.312 |
4. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110660/b11066064.png ; $L _ { 2 } ( \mathbf{R} ^ { n } )$ ; confidence 0.312 | 4. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110660/b11066064.png ; $L _ { 2 } ( \mathbf{R} ^ { n } )$ ; confidence 0.312 | ||
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5. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180179.png ; $g ^ { - 1 } \{ p , q ; r , s \} : \otimes ^ { r + 4 } \mathcal{E} \rightarrow \otimes ^ { r } \mathcal{E}$ ; confidence 0.312 | 5. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180179.png ; $g ^ { - 1 } \{ p , q ; r , s \} : \otimes ^ { r + 4 } \mathcal{E} \rightarrow \otimes ^ { r } \mathcal{E}$ ; confidence 0.312 | ||
| − | 6. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b120150134.png ; $\mathsf{E} _ { \ | + | 6. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b120150134.png ; $\mathsf{E} _ { \mathsf{P} _ { n } ^ { m } } ( d ) = \mathsf{E} _ { \mathsf{P} _ { n } ^ { m } } ( d ^ { * } )$ ; confidence 0.312 |
7. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w12009095.png ; $\mathfrak { S } _ { \{ 1 , \ldots , \lambda _ { 1 } \} } \times \mathfrak { S } _ { \{ \lambda _ { 1 } + 1 , \ldots , \lambda _ { 1 } + \lambda _ { 2 } \} } \times \dots$ ; confidence 0.312 | 7. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w12009095.png ; $\mathfrak { S } _ { \{ 1 , \ldots , \lambda _ { 1 } \} } \times \mathfrak { S } _ { \{ \lambda _ { 1 } + 1 , \ldots , \lambda _ { 1 } + \lambda _ { 2 } \} } \times \dots$ ; confidence 0.312 | ||
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35. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130060/c1300608.png ; $J \in W$ ; confidence 0.310 | 35. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130060/c1300608.png ; $J \in W$ ; confidence 0.310 | ||
| − | 36. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t120050131.png ; $= \{ x \in \Sigma ^ { 2 } ( f ) : \ | + | 36. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t120050131.png ; $= \left\{ x \in \Sigma ^ { 2 } ( f ) : \begin{array}{c} { \exists \text {a line }\ \text{l} \subset K _ { x } } \\ { \text{such that} \ \widetilde{d^{2}f_x}|_{\text{l}\times \text{l}} } \end{array} \right\}. $ ; confidence 0.309 |
37. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092030/t0920309.png ; $U _ { y } \not \ni x$ ; confidence 0.309 | 37. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092030/t0920309.png ; $U _ { y } \not \ni x$ ; confidence 0.309 | ||
| − | 38. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120040/l12004062.png ; $f _ { i + 1 / 2 } = \frac { 1 } { 2 } ( 1 + c ) f _ { i } ^ { n } + \frac { 1 } { 2 } ( 1 - c ) f _ { i + 1 } ^ { n }$ ; confidence 0.309 | + | 38. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120040/l12004062.png ; $f _ { i + 1 / 2 } = \frac { 1 } { 2 } ( 1 + c )\, f _ { i } ^ { n } + \frac { 1 } { 2 } ( 1 - c )\, f _ { i + 1 } ^ { n }$ ; confidence 0.309 |
39. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014140/a014140140.png ; $A ^ { m }$ ; confidence 0.309 | 39. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014140/a014140140.png ; $A ^ { m }$ ; confidence 0.309 | ||
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42. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120060/v12006042.png ; $k ^ { n } ( B _ { n } ( h / k ) - B _ { n } )$ ; confidence 0.309 | 42. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120060/v12006042.png ; $k ^ { n } ( B _ { n } ( h / k ) - B _ { n } )$ ; confidence 0.309 | ||
| − | 43. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200147.png ; $\operatorname{min}_{j \neq r} | z j - z _ { r } | \geq \delta | z _ { r } |$ ; confidence 0.309 | + | 43. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200147.png ; $\operatorname{min}_{j \neq r} | z _ { j } - z _ { r } | \geq \delta | z _ { r } |$ ; confidence 0.309 |
| − | 44. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120100/f12010018.png ; $G _ { k } ( z ) = \sum _ { c , d \in Z ^ { 2 } \backslash 0 } ( c z + d ) ^ { - k } , k = 4,6,8, \dots ,$ ; confidence 0.309 | + | 44. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120100/f12010018.png ; $G _ { k } ( z ) = \sum _ { c , d \in \mathbf{Z} ^ { 2 } \backslash 0 } ( c z + d ) ^ { - k } ,\, k = 4,6,8, \dots ,$ ; confidence 0.309 |
45. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120260/e120260127.png ; $F ( \mu _ { n } )$ ; confidence 0.309 | 45. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120260/e120260127.png ; $F ( \mu _ { n } )$ ; confidence 0.309 | ||
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54. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840183.png ; $d _ { 1 } , \dots , d _ { r }$ ; confidence 0.308 | 54. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840183.png ; $d _ { 1 } , \dots , d _ { r }$ ; confidence 0.308 | ||
| − | 55. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w13009047.png ; $H ^ { \ | + | 55. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w13009047.png ; $H ^ { \widehat{\otimes} n }$ ; confidence 0.308 |
| − | 56. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120020/w12002010.png ; $\mathbf{ | + | 56. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120020/w12002010.png ; $\mathbf{l} _ { 1 } ( P , Q )$ ; confidence 0.308 |
57. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050030/i05003091.png ; $q \in Q$ ; confidence 0.307 | 57. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050030/i05003091.png ; $q \in Q$ ; confidence 0.307 | ||
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61. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110235.png ; $\alpha \in S ( m _ { 1 } , G )$ ; confidence 0.307 | 61. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110235.png ; $\alpha \in S ( m _ { 1 } , G )$ ; confidence 0.307 | ||
| − | 62. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220220.png ; $H _ { \operatorname { B} } : \operatorname { Ext } _ { \mathcal{MM} _ { \mathbf{Q} } } ^ { 1 } ( \mathbf{Q} ( 0 ) , h ^ { i } ( X ) ( j ) ) \rightarrow$ ; confidence 0.307 | + | 62. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220220.png ; $H _ { \operatorname { B} } : \operatorname { Ext } _ { \mathcal{MM} _ { \mathbf{Q} } } ^ { 1 } ( \mathbf{Q} ( 0 ) , h ^ { i } ( X ) ( \,j ) ) \rightarrow$ ; confidence 0.307 |
63. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420128.png ; $q$ ; confidence 0.307 | 63. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420128.png ; $q$ ; confidence 0.307 | ||
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66. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120040/s12004014.png ; $s _ { \lambda } = \frac { a _ { \lambda + \delta} } { a _ { \delta } },$ ; confidence 0.307 | 66. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120040/s12004014.png ; $s _ { \lambda } = \frac { a _ { \lambda + \delta} } { a _ { \delta } },$ ; confidence 0.307 | ||
| − | 67. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120030/m120030104.png ; $r _ { i } = y _ { i } - \overset{\rightharpoonup} { x } _ { i } ^ { | + | 67. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120030/m120030104.png ; $r _ { i } = y _ { i } - \overset{\rightharpoonup} { x } _ { i } ^ { t } T _ { n }$ ; confidence 0.307 |
68. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f13010045.png ; $\square_{a} \varphi ( x ) = \varphi ( a x )$ ; confidence 0.307 | 68. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f13010045.png ; $\square_{a} \varphi ( x ) = \varphi ( a x )$ ; confidence 0.307 | ||
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78. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017021.png ; $c_0 \geq 0$ ; confidence 0.305 | 78. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017021.png ; $c_0 \geq 0$ ; confidence 0.305 | ||
| − | 79. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110110/r11011042.png ; $\forall x _ { 1 } , \ldots , x _ { n }$ ; confidence 0.305 | + | 79. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110110/r11011042.png ; $\forall x _ { 1 } , \ldots , x _ { n }:$ ; confidence 0.305 |
80. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130080/i13008013.png ; $L _ { 3 } ^ { \prime }$ ; confidence 0.305 | 80. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130080/i13008013.png ; $L _ { 3 } ^ { \prime }$ ; confidence 0.305 | ||
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85. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120180/s12018033.png ; $\langle a , x \rangle = 0$ ; confidence 0.305 | 85. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120180/s12018033.png ; $\langle a , x \rangle = 0$ ; confidence 0.305 | ||
| − | 86. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130070/h13007039.png ; $A _{i, j} \in k , i = 1 , \dots , r.$ ; confidence 0.305 | + | 86. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130070/h13007039.png ; $A _{i, \,j} \in k ,\; i = 1 , \dots , r.$ ; confidence 0.305 |
87. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130130/d13013053.png ; $\mathbf{A} ^ { + }$ ; confidence 0.305 | 87. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130130/d13013053.png ; $\mathbf{A} ^ { + }$ ; confidence 0.305 | ||
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88. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130040/g13004094.png ; $r _ { i } \searrow 0$ ; confidence 0.304 | 88. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130040/g13004094.png ; $r _ { i } \searrow 0$ ; confidence 0.304 | ||
| − | 89. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120070/q12007040.png ; $\Delta g = g \bigotimes g, \epsilon g = 1, \ S _ { g } = g ^ { - 1 },$ ; confidence 0.304 | + | 89. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120070/q12007040.png ; $\Delta g = g \bigotimes g,\; \epsilon g = 1,\; \ S _ { g } = g ^ { - 1 },$ ; confidence 0.304 |
90. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013290/a0132905.png ; $\&$ ; confidence 0.304 | 90. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013290/a0132905.png ; $\&$ ; confidence 0.304 | ||
| − | 91. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120270/b12027059.png ; $a _ { n } = b _ { n } + \sum _ { 0 } ^ { n } a _ { n - j} p _ { j } , n = 0,1, \dots ,$ ; confidence 0.304 | + | 91. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120270/b12027059.png ; $a _ { n } = b _ { n } + \sum _ { 0 } ^ { n } a _ { n - j} p _ { j } ,\; n = 0,1, \dots ,$ ; confidence 0.304 |
92. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002024.png ; $F _ { t } | _ { A } = H _ { t }$ ; confidence 0.304 | 92. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002024.png ; $F _ { t } | _ { A } = H _ { t }$ ; confidence 0.304 | ||
| − | 93. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120240/s1202408.png ; $H _ { * } ^ { S } (\ | + | 93. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120240/s1202408.png ; $H _ { * } ^ { S } (\cdot \ ; G )$ ; confidence 0.304 |
94. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a011490101.png ; $a _ { 1 } , \dots , a _ { s }$ ; confidence 0.304 | 94. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a011490101.png ; $a _ { 1 } , \dots , a _ { s }$ ; confidence 0.304 | ||
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96. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042230/f0422309.png ; $M ( t )$ ; confidence 0.304 | 96. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042230/f0422309.png ; $M ( t )$ ; confidence 0.304 | ||
| − | 97. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130590/s1305904.png ; $c _ { n } = \int _ { 0 } ^ { \infty } t ^ { n } d \psi ( t ) , n = 0 , \pm 1 , \pm 2, \dots .$ ; confidence 0.304 | + | 97. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130590/s1305904.png ; $c _ { n } = \int _ { 0 } ^ { \infty } t ^ { n } d \psi ( t ) ,\; n = 0 , \pm 1 , \pm 2, \dots .$ ; confidence 0.304 |
98. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120350/s12035022.png ; $\hat { \theta } _ { N } = \operatorname { arg } \operatorname { min } _ { \theta \in D _ { \mathcal{M} } } \sum _ { \mathcal{M} } ^ { N _ { t } = 1 } \text{l} \left( y ( t ) - f ( Z ^ { t - 1 } , t , \theta ) \right),$ ; confidence 0.304 | 98. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120350/s12035022.png ; $\hat { \theta } _ { N } = \operatorname { arg } \operatorname { min } _ { \theta \in D _ { \mathcal{M} } } \sum _ { \mathcal{M} } ^ { N _ { t } = 1 } \text{l} \left( y ( t ) - f ( Z ^ { t - 1 } , t , \theta ) \right),$ ; confidence 0.304 | ||
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101. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006081.png ; $\cup _ { d }$ ; confidence 0.304 | 101. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006081.png ; $\cup _ { d }$ ; confidence 0.304 | ||
| − | 102. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130060/h13006013.png ; $\gamma _ { n } ( m ) = \sum _ { d | ( n , m ) } d ^ { k - 1 } c \left( \frac { m n } { d ^ { 2 } } \right)$ ; confidence 0.304 | + | 102. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130060/h13006013.png ; $\gamma _ { n } ( m ) = \sum _ { d | ( n , m ) } d ^ { k - 1 } c \left( \frac { m n } { d ^ { 2 } } \right).$ ; confidence 0.304 |
| − | 103. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f12011061.png ; $\Delta _ { \sigma } = \{ x \in \mathbf{R} ^ { n } : \sigma _ { j } x _ { j } > 0 \}$ ; confidence 0.304 | + | 103. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f12011061.png ; $\Delta _ { \sigma } = \{ x \in \mathbf{R} ^ { n } : \sigma _ { j }\, x _ { j } > 0 \}$ ; confidence 0.304 |
104. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017077.png ; $\mathcal{C} _ { p }$ ; confidence 0.304 | 104. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017077.png ; $\mathcal{C} _ { p }$ ; confidence 0.304 | ||
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105. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120100/l12010026.png ; $L _ { \gamma , n } ^ { c } < \infty$ ; confidence 0.303 | 105. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120100/l12010026.png ; $L _ { \gamma , n } ^ { c } < \infty$ ; confidence 0.303 | ||
| − | 106. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110220/d11022029.png ; $L y = \left( \frac { d } { d x } + r _ { | + | 106. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110220/d11022029.png ; $L y = \left( \frac { d } { d x } + r _ { n } \right) \dots \left( \frac { d } { d x } + r _ { 1 } \right) y.$ ; confidence 0.303 |
107. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011025.png ; $( \operatorname{Op} ( a ) ) ^ { * } = \operatorname{Op} ( J \overline { a } )$ ; confidence 0.303 | 107. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011025.png ; $( \operatorname{Op} ( a ) ) ^ { * } = \operatorname{Op} ( J \overline { a } )$ ; confidence 0.303 | ||
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109. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090242.png ; $\mathfrak{sl}_n ( \mathbf{C} )$ ; confidence 0.303 | 109. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090242.png ; $\mathfrak{sl}_n ( \mathbf{C} )$ ; confidence 0.303 | ||
| − | 110. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120130/t12013018.png ; $\chi ( z ) = ( z ^ { | + | 110. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120130/t12013018.png ; $\chi ( z ) = ( z ^ { n } ) _ { n \in \mathbf{Z} }$ ; confidence 0.303 |
111. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i130090180.png ; $s \in \mathbf{Z} _ { p }$ ; confidence 0.303 | 111. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i130090180.png ; $s \in \mathbf{Z} _ { p }$ ; confidence 0.303 | ||
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112. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057020/l05702040.png ; $\overline{X} = X \otimes _ { k } \overline { k } _ { s }$ ; confidence 0.303 | 112. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057020/l05702040.png ; $\overline{X} = X \otimes _ { k } \overline { k } _ { s }$ ; confidence 0.303 | ||
| − | 113. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130230/m13023049.png ; $( ( K _ { X } + B ) | + | 113. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130230/m13023049.png ; $( ( K _ { X } + B ) \cdot v ^ { \prime } ) \geq 0$ ; confidence 0.303 |
114. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130340/s13034040.png ; $\widehat { R \mathcal{K} }$ ; confidence 0.303 | 114. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130340/s13034040.png ; $\widehat { R \mathcal{K} }$ ; confidence 0.303 | ||
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116. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012200/a01220079.png ; $D _ { a }$ ; confidence 0.302 | 116. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012200/a01220079.png ; $D _ { a }$ ; confidence 0.302 | ||
| − | 117. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120140/t12014017.png ; $T_{\phi}f = \mathcal{P}_{ +} \phi f$ ; confidence 0.302 | + | 117. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120140/t12014017.png ; $T_{\phi}\,f = \mathcal{P}_{ +} \phi f$ ; confidence 0.302 |
| − | 118. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130230/m13023034.png ; $( ( K_{X} + B ) | + | 118. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130230/m13023034.png ; $( ( K_{X} + B ) \cdot v ) < 0$ ; confidence 0.302 |
119. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120230/a12023049.png ; $\operatorname { grad } \psi = ( \partial \psi / \partial \zeta _ { 1 } , \dots , \partial \psi / \partial \zeta _ { n } )$ ; confidence 0.302 | 119. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120230/a12023049.png ; $\operatorname { grad } \psi = ( \partial \psi / \partial \zeta _ { 1 } , \dots , \partial \psi / \partial \zeta _ { n } )$ ; confidence 0.302 | ||
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121. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110174.png ; $a _ { m } = b _ { m }$ ; confidence 0.302 | 121. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110174.png ; $a _ { m } = b _ { m }$ ; confidence 0.302 | ||
| − | 122. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120050/w1200505.png ; $\mathcal{D} = \mathbf{R} | + | 122. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120050/w1200505.png ; $\mathcal{D} = \mathbf{R}\cdot 1 \oplus e \cdot \mathbf{R}$ ; confidence 0.302 |
123. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120020/w12002037.png ; $\mathbf{l} _ { p } ( P , Q )$ ; confidence 0.302 | 123. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120020/w12002037.png ; $\mathbf{l} _ { p } ( P , Q )$ ; confidence 0.302 | ||
| Line 256: | Line 256: | ||
128. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120070/e12007096.png ; $Q _ { h }$ ; confidence 0.301 | 128. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120070/e12007096.png ; $Q _ { h }$ ; confidence 0.301 | ||
| − | 129. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200235.png ; $c _ { m , n } = \left\{ \begin{array} { l l } { 2 ^ { 1 - n } \left( \frac { n + k } { 4 e ( m + n + k ) } \right) ^ { n + k } } & { \text { if } \frac { m } { m + n + k } \geq \rho, } \\ { \rho ^ { m } 2 ^ { 1 - n } \left( \frac { 1 - \rho } { 4 } \right) ^ { n + k } } & { \text { if } \frac { m } { m + n + k } < \rho. } \end{array} \right.$ ; confidence 0.301 | + | 129. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200235.png ; $c _ { m ,\, n } = \left\{ \begin{array} { l l } { 2 ^ { 1 - n } \left( \frac { n + k } { 4 e ( m + n + k ) } \right) ^ { n + k } } & { \text { if } \frac { m } { m + n + k } \geq \rho, } \\ { \rho ^ { m } 2 ^ { 1 - n } \left( \frac { 1 - \rho } { 4 } \right) ^ { n + k } } & { \text { if } \frac { m } { m + n + k } < \rho. } \end{array} \right.$ ; confidence 0.301 |
130. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130130/p1301309.png ; $M ( S _ { n } ) \cong \left\{ \begin{array} { l l } { \mathbf{Z} _ { 2 } } & { \text { if } n \geq 4, } \\ { \{ e \} } & { \text { if } n < 4, } \end{array} \right.$ ; confidence 0.301 | 130. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130130/p1301309.png ; $M ( S _ { n } ) \cong \left\{ \begin{array} { l l } { \mathbf{Z} _ { 2 } } & { \text { if } n \geq 4, } \\ { \{ e \} } & { \text { if } n < 4, } \end{array} \right.$ ; confidence 0.301 | ||
| Line 266: | Line 266: | ||
133. https://www.encyclopediaofmath.org/legacyimages/z/z120/z120010/z12001025.png ; $ e _{0} ^ { [ p ] } - e _ { 0 } = 0$ ; confidence 0.301 | 133. https://www.encyclopediaofmath.org/legacyimages/z/z120/z120010/z12001025.png ; $ e _{0} ^ { [ p ] } - e _ { 0 } = 0$ ; confidence 0.301 | ||
| − | 134. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m13014072.png ; $x \in \mathcal{D} \subset \mathbf{R} ^ { | + | 134. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m13014072.png ; $x \in \mathcal{D} \subset \mathbf{R} ^ { n }$ ; confidence 0.301 |
135. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120270/e12027010.png ; $P _ { m } ^{( \alpha , \beta )}$ ; confidence 0.301 | 135. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120270/e12027010.png ; $P _ { m } ^{( \alpha , \beta )}$ ; confidence 0.301 | ||
| − | 136. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m13026018.png ; $tilde { A } = A \oplus \mathbf{C}$ ; confidence 0.301 | + | 136. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m13026018.png ; $\tilde { A } = A \oplus \mathbf{C}$ ; confidence 0.301 |
137. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130360/s13036020.png ; $\int _ { 0 } ^ { t } I _ { ( 0 ) } ( Y _ { s } ) d \text{l} _ { s } = \text{l} _ { t }$ ; confidence 0.301 | 137. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130360/s13036020.png ; $\int _ { 0 } ^ { t } I _ { ( 0 ) } ( Y _ { s } ) d \text{l} _ { s } = \text{l} _ { t }$ ; confidence 0.301 | ||
| Line 280: | Line 280: | ||
140. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063770/m06377017.png ; $p ( z ) = z ^ { n } + a _ { n - 1} z ^ { n - 1 } + \ldots + a _ { 0 }$ ; confidence 0.300 | 140. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063770/m06377017.png ; $p ( z ) = z ^ { n } + a _ { n - 1} z ^ { n - 1 } + \ldots + a _ { 0 }$ ; confidence 0.300 | ||
| − | 141. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200117.png ; $\geq \frac { n } { 4 N ^ { 3 / 2} } \operatorname { exp } \left( - 30 n \ | + | 141. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200117.png ; $\geq \frac { n } { 4 N ^ { 3 / 2} } \operatorname { exp } \left( - 30 n \left( \frac { 1 } { \operatorname { log } ( N / n ) } + \frac { 1 } { \operatorname { log } ( N / m ) } \right) \right) \times \times \operatorname { min } _ { l \leq n } \left| \sum _ { j = 1 } ^ { l } b _ { j }\right| .$ ; confidence 0.300 |
142. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130200/a13020015.png ; $K ( \langle a b c ) , d ) + K ( c , \langle a b d \rangle \rangle + K ( a , K ( c , d ) b ) = 0,$ ; confidence 0.300 | 142. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130200/a13020015.png ; $K ( \langle a b c ) , d ) + K ( c , \langle a b d \rangle \rangle + K ( a , K ( c , d ) b ) = 0,$ ; confidence 0.300 | ||
| Line 290: | Line 290: | ||
145. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290155.png ; $\mathfrak{p} \in \operatorname { Spec } A \backslash \{ \mathfrak{m} \}$ ; confidence 0.300 | 145. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290155.png ; $\mathfrak{p} \in \operatorname { Spec } A \backslash \{ \mathfrak{m} \}$ ; confidence 0.300 | ||
| − | 146. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900234.png ; $\ | + | 146. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900234.png ; $\text{III} _ { \lambda }$ ; confidence 0.300 |
147. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059610/l05961015.png ; $\{ H , \rho \} _ { \text{qu} . } = [ H , \rho ] / ( i \hbar )$ ; confidence 0.300 | 147. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059610/l05961015.png ; $\{ H , \rho \} _ { \text{qu} . } = [ H , \rho ] / ( i \hbar )$ ; confidence 0.300 | ||
| Line 296: | Line 296: | ||
148. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520361.png ; $\dot { x } _ { i } = \phi _ { i } ( x _ { 1 } , \ldots , x _ { n } ) , \quad i = 1 , \ldots , n,$ ; confidence 0.300 | 148. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520361.png ; $\dot { x } _ { i } = \phi _ { i } ( x _ { 1 } , \ldots , x _ { n } ) , \quad i = 1 , \ldots , n,$ ; confidence 0.300 | ||
| − | 149. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b12022098.png ; $\partial _ { t } f + a ( \xi ) | + | 149. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b12022098.png ; $\partial _ { t }\, f + a ( \xi ) \cdot \nabla _ { x }\, f = 0 \text { in } ] t _ { n } , t _ { n } + 1 [ \times \mathbf{R} ^ { N } \times \Xi,$ ; confidence 0.300 |
150. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130090/t1300908.png ; $\pi _ { X } : T _ { X } \rightarrow X$ ; confidence 0.300 | 150. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130090/t1300908.png ; $\pi _ { X } : T _ { X } \rightarrow X$ ; confidence 0.300 | ||
| − | 151. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120260/s12026021.png ; $D _ { t } f = \left( ( n + 1 ) f ^ { ( n + 1 ) } ( t , | + | 151. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120260/s12026021.png ; $D _ { t }\, f = \left( ( n + 1 )\, f ^ { ( n + 1 ) } ( t , \cdot ) \right) _ { n \in \mathbf{N} _ { 0 } }$ ; confidence 0.300 |
152. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130040/c13004027.png ; $\int _ { 0 } ^ { 1 } \frac { t\operatorname { log } ( t ^ { - 1 } \pm t ) } { 1 + t ^ { 4 } } d t =$ ; confidence 0.299 | 152. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130040/c13004027.png ; $\int _ { 0 } ^ { 1 } \frac { t\operatorname { log } ( t ^ { - 1 } \pm t ) } { 1 + t ^ { 4 } } d t =$ ; confidence 0.299 | ||
| Line 314: | Line 314: | ||
157. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120130/l12013062.png ; $V ( \tilde { \mathbf{Q} } _ { p } )$ ; confidence 0.299 | 157. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120130/l12013062.png ; $V ( \tilde { \mathbf{Q} } _ { p } )$ ; confidence 0.299 | ||
| − | 158. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130070/f1300702.png ; $F ( 2 , m ) = \ | + | 158. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130070/f1300702.png ; $F ( 2 , m ) = \langle x _ { 1 } , \dots , x _ { m } | x _ { i } x _ { i + 1} = x _ { i + 2} \rangle,$ ; confidence 0.299 |
159. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290162.png ; $M \cong \bigoplus _ { i = 0 } ^ { d } E _ { i } ^ { h _ { i } },$ ; confidence 0.299 | 159. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290162.png ; $M \cong \bigoplus _ { i = 0 } ^ { d } E _ { i } ^ { h _ { i } },$ ; confidence 0.299 | ||
| Line 322: | Line 322: | ||
161. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010710/a01071044.png ; $\mathfrak{p}$ ; confidence 0.299 | 161. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010710/a01071044.png ; $\mathfrak{p}$ ; confidence 0.299 | ||
| − | 162. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130280/a1302803.png ; $a _ { n + 1} = \frac { 1 } { 2 } ( a _ { n } + b _ { n } ) , b _ { n + 1} = \sqrt { a _ { n } b _ { n } }.$ ; confidence 0.299 | + | 162. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130280/a1302803.png ; $a _ { n + 1} = \frac { 1 } { 2 } ( a _ { n } + b _ { n } ) ,\, b _ { n + 1} = \sqrt { a _ { n } b _ { n } }.$ ; confidence 0.299 |
| − | 163. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z13011095.png ; $= \frac { ( 1 - \alpha ) } { k + c m _ { k } } .. [ ( i - 1 + c ) \mu ( i - 1 , m ) - ( i + c ) \mu ( i , m ) ] +$ ; confidence 0.299 | + | 163. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z13011095.png ; $= \frac { ( 1 - \alpha ) } { k + c m _ { k } } \text{..} [ ( i - 1 + c ) \mu ( i - 1 , m ) - ( i + c ) \mu ( i , m ) ] +$ ; confidence 0.299 |
164. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110080/d11008065.png ; $[ L : K ] = \sum _ { l = 1 } ^ { m } [ L ^ { H _ { i } } : K ^ { H _ { i } } ].$ ; confidence 0.298 | 164. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110080/d11008065.png ; $[ L : K ] = \sum _ { l = 1 } ^ { m } [ L ^ { H _ { i } } : K ^ { H _ { i } } ].$ ; confidence 0.298 | ||
| − | 165. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040056.png ; $S = S ^ { + } \cup S ^ { - } \subset \ | + | 165. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040056.png ; $S = S ^ { + } \cup S ^ { - } \subset \mathfrak{h} ^ { * }$ ; confidence 0.298 |
166. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050107.png ; $\Delta$ ; confidence 0.298 | 166. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050107.png ; $\Delta$ ; confidence 0.298 | ||
| Line 346: | Line 346: | ||
173. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120020/b12002017.png ; $\alpha _ { n }$ ; confidence 0.298 | 173. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120020/b12002017.png ; $\alpha _ { n }$ ; confidence 0.298 | ||
| − | 174. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040382.png ; $F \in Fi _ { \mathcal{D} }\mathbf{B}$ ; confidence 0.298 | + | 174. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040382.png ; $F \in \text{Fi} _ { \mathcal{D} }\mathbf{B}$ ; confidence 0.298 |
| − | 175. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008099.png ; $y = \left\{ \begin{array} { l l } { \left( \frac { c } { | + | 175. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008099.png ; $y = \left\{ \begin{array} { l l } { \left( \frac { c } { a - x } \right) ^ { k + 1 } } & { \text { for } x \in ( - \infty , a - c ], } \\ { 1 } & { \text { for } x \in [ a - c , a - c + b ], } \\ { \left( \frac { b - c } { x - a } \right) ^ { k + 1 } } & { \text { for } x \in [ a - c + b , \infty ]. } \end{array} \right.$ ; confidence 0.297 |
| − | 176. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120150/l12015031.png ; $[ | + | 176. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120150/l12015031.png ; $[ \cdot , \cdot ]_{d}$ ; confidence 0.297 |
177. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060133.png ; $\mathcal{F} ^ { \# } ( n ) \sim K _ { 0 } C _ { 0 } q _ { 0 } ^ { n } n ^ { - 5 / 2 } \text { as } \ n \rightarrow \infty,$ ; confidence 0.297 | 177. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060133.png ; $\mathcal{F} ^ { \# } ( n ) \sim K _ { 0 } C _ { 0 } q _ { 0 } ^ { n } n ^ { - 5 / 2 } \text { as } \ n \rightarrow \infty,$ ; confidence 0.297 | ||
| Line 360: | Line 360: | ||
180. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130140/a13014021.png ; $X = Y = \mathbf{R} ^ { n }$ ; confidence 0.297 | 180. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130140/a13014021.png ; $X = Y = \mathbf{R} ^ { n }$ ; confidence 0.297 | ||
| − | 181. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130050/f13005030.png ; $\left\| \sum _ { j = 1 } ^ { m } w _ { j } | + | 181. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130050/f13005030.png ; $\left\| \sum _ { j = 1 } ^ { m } w _ { j } \cdot \frac { p _ { j } - p _ { i } } { \| p _ { j } - p _ { i } \| } \right\| \leq w _ { i } ,\, i \neq j,$ ; confidence 0.297 |
182. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120060/e12006070.png ; $Ts : T M \rightarrow T Y$ ; confidence 0.297 | 182. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120060/e12006070.png ; $Ts : T M \rightarrow T Y$ ; confidence 0.297 | ||
| Line 370: | Line 370: | ||
185. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130150/t13015046.png ; $\mathcal{ I}_ { k + 1 } / \mathcal{I} _ { k }$ ; confidence 0.296 | 185. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130150/t13015046.png ; $\mathcal{ I}_ { k + 1 } / \mathcal{I} _ { k }$ ; confidence 0.296 | ||
| − | 186. https://www.encyclopediaofmath.org/legacyimages/y/y120/y120010/y12001037.png ; $R _ { V } ( u \otimes v ) = R | + | 186. https://www.encyclopediaofmath.org/legacyimages/y/y120/y120010/y12001037.png ; $R _ { V } ( u \otimes v ) = R \cdot ( u \otimes v )$ ; confidence 0.296 |
187. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057020/l05702049.png ; $( H ^ { i } ( \overline{X} , \overline{F} _ { n } ) ) _ { n \in \mathbf{N} }$ ; confidence 0.296 | 187. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057020/l05702049.png ; $( H ^ { i } ( \overline{X} , \overline{F} _ { n } ) ) _ { n \in \mathbf{N} }$ ; confidence 0.296 | ||
| Line 384: | Line 384: | ||
192. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080126.png ; $s _ { n } = - i \hat{T} _ { n }$ ; confidence 0.296 | 192. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080126.png ; $s _ { n } = - i \hat{T} _ { n }$ ; confidence 0.296 | ||
| − | 193. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130040/q13004028.png ; $K ( f ) = \operatorname { max } \{ K _ { \text{O} } ( f ) , K _ { \text{I} } ( f ) \}$ ; confidence 0.296 | + | 193. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130040/q13004028.png ; $K ( f ) = \operatorname { max } \{ K _ { \text{O} } (\, f ) , K _ { \text{I} } (\, f ) \}$ ; confidence 0.296 |
194. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b130300103.png ; $A _ { 1 } ^ { n } , \dots , A _ { i } ^ { n }$ ; confidence 0.296 | 194. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b130300103.png ; $A _ { 1 } ^ { n } , \dots , A _ { i } ^ { n }$ ; confidence 0.296 | ||
| Line 394: | Line 394: | ||
197. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130020/z13002027.png ; $\underline { f } _{+ \text{ap} }$ ; confidence 0.295 | 197. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130020/z13002027.png ; $\underline { f } _{+ \text{ap} }$ ; confidence 0.295 | ||
| − | 198. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110080/d11008071.png ; $[ L : K ] = \sum _ { i = 1 } ^ { m } \delta ( w _ { i } | v ) | + | 198. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110080/d11008071.png ; $[ L : K ] = \sum _ { i = 1 } ^ { m } \delta ( w _ { i } | v ) \cdot e ( w _ { i } | v ) \cdot f ( w _ { i } | w ).$ ; confidence 0.295 |
199. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c12017070.png ; $z ^ { k } Z ^ { l }$ ; confidence 0.295 | 199. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c12017070.png ; $z ^ { k } Z ^ { l }$ ; confidence 0.295 | ||
| Line 406: | Line 406: | ||
203. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f12011012.png ; $\mathcal{P}_{*}$ ; confidence 0.295 | 203. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f12011012.png ; $\mathcal{P}_{*}$ ; confidence 0.295 | ||
| − | 204. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011054.png ; $\| a\| _{HS} = \| | + | 204. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011054.png ; $\| a\| _{\text{HS}} = \| a \| _ { L } 2 _ { ( \mathbf{R} ^ { 2 n }) } $ ; confidence 0.295 |
205. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080162.png ; $( z_0 , \overline{z}_0 ) \in \gamma$ ; confidence 0.295 | 205. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080162.png ; $( z_0 , \overline{z}_0 ) \in \gamma$ ; confidence 0.295 | ||
| Line 412: | Line 412: | ||
206. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130240/f13024015.png ; $K ( a , b ) = \langle a , b \rangle \operatorname{Id}$ ; confidence 0.295 | 206. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130240/f13024015.png ; $K ( a , b ) = \langle a , b \rangle \operatorname{Id}$ ; confidence 0.295 | ||
| − | 207. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010016.png ; $x \in | + | 207. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010016.png ; $x \in L$ ; confidence 0.295 |
| − | 208. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g130060106.png ; $\lambda \in K _ { i , j } ( A )$ ; confidence 0.295 | + | 208. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g130060106.png ; $\lambda \in K _ { i ,\, j } ( A )$ ; confidence 0.295 |
209. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020030/c02003034.png ; $\cup _ { n = 1 } ^ { \infty } V ^ { n } = \cup _ { N = 1 } ^ { \infty } U ^ { n }$ ; confidence 0.294 | 209. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020030/c02003034.png ; $\cup _ { n = 1 } ^ { \infty } V ^ { n } = \cup _ { N = 1 } ^ { \infty } U ^ { n }$ ; confidence 0.294 | ||
| − | 210. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130260/a13026023.png ; $a _ { | + | 210. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130260/a13026023.png ; $a _ {( p - 1 )/ 2 } \equiv \gamma _ { p } ( \operatorname { mod } p )$ ; confidence 0.294 |
211. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120150/e12015014.png ; $(\text{B}) \left\{ \begin{array} { l } { \overline{x} \square ^ { i } = f ^ { i } ( x ^ { 1 } , \ldots , x ^ { n } , t ) , \quad i = 1 , \ldots , n, } \\ { \overline { t } = t. } \end{array} \right.$ ; confidence 0.294 | 211. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120150/e12015014.png ; $(\text{B}) \left\{ \begin{array} { l } { \overline{x} \square ^ { i } = f ^ { i } ( x ^ { 1 } , \ldots , x ^ { n } , t ) , \quad i = 1 , \ldots , n, } \\ { \overline { t } = t. } \end{array} \right.$ ; confidence 0.294 | ||
| − | 212. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v12002081.png ; $\operatorname { rd } _{Y} ( M _ { k } ( f ) ) \leq n - 2 - k $ ; confidence 0.294 | + | 212. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v12002081.png ; $\operatorname { rd } _{Y} ( M _ { k } (\, f ) ) \leq n - 2 - k $ ; confidence 0.294 |
213. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120060/v12006044.png ; $B _ { n } / n$ ; confidence 0.294 | 213. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120060/v12006044.png ; $B _ { n } / n$ ; confidence 0.294 | ||
| − | 214. https://www.encyclopediaofmath.org/legacyimages/n/n130/n130060/n13006032.png ; $\mu _ { k + 1 } \leq \lambda _ { k } , k = 1, 2,\dots .$ ; confidence 0.294 | + | 214. https://www.encyclopediaofmath.org/legacyimages/n/n130/n130060/n13006032.png ; $\mu _ { k + 1 } \leq \lambda _ { k } ,\, k = 1, 2,\dots .$ ; confidence 0.294 |
215. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040513.png ; $\mathbf{A} / \Omega \mathcal{C}$ ; confidence 0.294 | 215. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040513.png ; $\mathbf{A} / \Omega \mathcal{C}$ ; confidence 0.294 | ||
| Line 434: | Line 434: | ||
217. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z13011084.png ; $\frac { n } { \mu _ { n } } = \frac { \sum _ { x = 1 } ^ { n } x \mu _ { n } ( x ) } { \mu _ { n } } \sim \sum _ { x = 1 } ^ { n } \frac { 1 } { x + 1 } \rightarrow \infty .$ ; confidence 0.294 | 217. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z13011084.png ; $\frac { n } { \mu _ { n } } = \frac { \sum _ { x = 1 } ^ { n } x \mu _ { n } ( x ) } { \mu _ { n } } \sim \sum _ { x = 1 } ^ { n } \frac { 1 } { x + 1 } \rightarrow \infty .$ ; confidence 0.294 | ||
| − | 218. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015010/b01501035.png ; $B G _ { | + | 218. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015010/b01501035.png ; $B G _ { n }$ ; confidence 0.294 |
219. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130180/d13018086.png ; $( g _ { n } ) _ { n \geq 1}$ ; confidence 0.294 | 219. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130180/d13018086.png ; $( g _ { n } ) _ { n \geq 1}$ ; confidence 0.294 | ||
| Line 452: | Line 452: | ||
226. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110890/b11089084.png ; $b \in \mathbf{R} ^ { n }$ ; confidence 0.293 | 226. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110890/b11089084.png ; $b \in \mathbf{R} ^ { n }$ ; confidence 0.293 | ||
| − | 227. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130060/i13006092.png ; $( I + H _ { x } ) \Gamma _ { x } : = \Gamma _ { x } ( t , s ) + \int _ { 0 } ^ { x } H ( t - u ) \Gamma _ { x } ( u , s ) d u = H ( t - s ) , 0 \leq t , s \leq x,$ ; confidence 0.293 | + | 227. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130060/i13006092.png ; $( I + H _ { x } ) \Gamma _ { x } : = \Gamma _ { x } ( t , s ) + \int _ { 0 } ^ { x } H ( t - u ) \Gamma _ { x } ( u , s ) d u = H ( t - s ) ,\, 0 \leq t , s \leq x,$ ; confidence 0.293 |
228. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130080/l13008024.png ; $c _ { 3 } = 1$ ; confidence 0.292 | 228. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130080/l13008024.png ; $c _ { 3 } = 1$ ; confidence 0.292 | ||
| Line 458: | Line 458: | ||
229. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840273.png ; $\sigma ( A | _ { E \langle \Delta \rangle \mathcal{K} } ) \subset \overline { \Delta }$ ; confidence 0.292 | 229. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840273.png ; $\sigma ( A | _ { E \langle \Delta \rangle \mathcal{K} } ) \subset \overline { \Delta }$ ; confidence 0.292 | ||
| − | 230. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z13011078.png ; $\mathsf{E} [ \mu _ { n + 1 } ( x ) | \mu _ { n } ( | + | 230. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z13011078.png ; $\mathsf{E} [ \mu _ { n + 1 } ( x ) | \mu _ { n } ( \cdot ) ] - \mu _ { n } ( x ) =$ ; confidence 0.292 |
231. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062220/m06222089.png ; $C_{t}$ ; confidence 0.292 | 231. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062220/m06222089.png ; $C_{t}$ ; confidence 0.292 | ||
| Line 466: | Line 466: | ||
233. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f13010018.png ; $u ( x ) = \sum _ { n = 1 } ^ { \infty } \overline { k _ { n } } * \check{l} _ { n } ( x )$ ; confidence 0.292 | 233. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f13010018.png ; $u ( x ) = \sum _ { n = 1 } ^ { \infty } \overline { k _ { n } } * \check{l} _ { n } ( x )$ ; confidence 0.292 | ||
| − | 234. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130070/i13007025.png ; $A ( \alpha ^ { \prime } , \alpha , k ) = - \frac { 1 } { 4 \pi } \int _ { \mathbf{R} ^ { 3 } } e ^ { i k | + | 234. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130070/i13007025.png ; $A ( \alpha ^ { \prime } , \alpha , k ) = - \frac { 1 } { 4 \pi } \int _ { \mathbf{R} ^ { 3 } } e ^ { i k (\alpha - \alpha ^ { \prime } ) x } q ( x ) d x + O \left( \frac { 1 } { k } \right),$ ; confidence 0.292 |
235. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110160/f110160155.png ; $\psi _ { \mathfrak { A } } ^ { l - m } \overline { a }$ ; confidence 0.292 | 235. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110160/f110160155.png ; $\psi _ { \mathfrak { A } } ^ { l - m } \overline { a }$ ; confidence 0.292 | ||
| Line 480: | Line 480: | ||
240. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130100/w1301009.png ; $W ^ { a } ( t ) = \bigcup _ { 0 \leq s \leq t } B _ { a } ( \beta ( s ) ) , \quad t \geq 0,$ ; confidence 0.291 | 240. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130100/w1301009.png ; $W ^ { a } ( t ) = \bigcup _ { 0 \leq s \leq t } B _ { a } ( \beta ( s ) ) , \quad t \geq 0,$ ; confidence 0.291 | ||
| − | 241. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120070/m1200705.png ; $m ( P ) = \int _ { 0 } ^ { 1 } \ldots \int _ { 0 } ^ { 1 } \operatorname { log } | P ( e ^ { i | + | 241. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120070/m1200705.png ; $m ( P ) = \int _ { 0 } ^ { 1 } \ldots \int _ { 0 } ^ { 1 } \operatorname { log } | P ( e ^ { i t_{1} } , \ldots , e ^ { i t _ { n } } ) | d t _ { 1 } \ldots d t _ { n }.$ ; confidence 0.291 |
242. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130100/b13010077.png ; $T \in \mathcal{T}$ ; confidence 0.291 | 242. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130100/b13010077.png ; $T \in \mathcal{T}$ ; confidence 0.291 | ||
| Line 490: | Line 490: | ||
245. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130050/v130050118.png ; $u _ { n } ( \mathbf{1} ) = D ^ { ( - n - 1 ) } ( u )$ ; confidence 0.291 | 245. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130050/v130050118.png ; $u _ { n } ( \mathbf{1} ) = D ^ { ( - n - 1 ) } ( u )$ ; confidence 0.291 | ||
| − | 246. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f120230132.png ; $+ \frac { - 1 } { k ! ( | + | 246. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f120230132.png ; $+ \frac { - 1 } { k ! ( \operatorname {l} - 1 ) ! } \sum _ { \sigma } \operatorname { sign } \sigma \times \times L ( [ K ( X _ { \sigma 1 } , \ldots , X _ { \sigma k } ) , X _ { \sigma ( k + 1 ) } ] , X _ { \sigma ( k + 2 ) } , \ldots )+$ ; confidence 0.291 |
| − | 247. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120050/q12005068.png ; $v = \sqrt { y ^ { T } H y } \left( \frac { s } { s ^ { T } y } - \frac { H y } { y ^ { T } H y } \right)$ ; confidence 0.291 | + | 247. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120050/q12005068.png ; $v = \sqrt { y ^ { T } H y } \left( \frac { s } { s ^ { T } y } - \frac { H y } { y ^ { T } H y } \right).$ ; confidence 0.291 |
| − | 248. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r13008097.png ; $( \varphi_j | + | 248. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r13008097.png ; $( \varphi_j , \varphi _ { m } ) _ { 0 } = \delta _ { j m }$ ; confidence 0.290 |
249. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130040/l13004014.png ; $\{ L ( x , y ) \} _ { \text{span} }$ ; confidence 0.290 | 249. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130040/l13004014.png ; $\{ L ( x , y ) \} _ { \text{span} }$ ; confidence 0.290 | ||
| Line 502: | Line 502: | ||
251. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a11030040.png ; $d a _ { i } = \sum _ { j + k = i - 1 } a _ { j } a _ { k }$ ; confidence 0.290 | 251. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a11030040.png ; $d a _ { i } = \sum _ { j + k = i - 1 } a _ { j } a _ { k }$ ; confidence 0.290 | ||
| − | 252. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130060/h13006047.png ; $\mu ( u | + | 252. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130060/h13006047.png ; $\mu ( u \cdot v , w ) = \# \{ ( \alpha ^ { \prime } , \beta ^ { \prime } ) \in A \times B : D \alpha ^ { \prime } \beta ^ { \prime } = D \xi \,\text { with } w = D \xi D \}$ ; confidence 0.290 |
253. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047210/h0472108.png ; $T _ { \delta }$ ; confidence 0.290 | 253. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047210/h0472108.png ; $T _ { \delta }$ ; confidence 0.290 | ||
| − | 254. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130070/h13007024.png ; $\mathbf{a} \in R [ t ] ^ { | + | 254. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130070/h13007024.png ; $\mathbf{a} \in R [ t ] ^ { l }$ ; confidence 0.290 |
255. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o130010119.png ; $\Gamma u = 0$ ; confidence 0.290 | 255. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o130010119.png ; $\Gamma u = 0$ ; confidence 0.290 | ||
| Line 512: | Line 512: | ||
256. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l12003071.png ; $T _ { E } ( M \otimes _ { \mathbf{F}_ p} N) = T _ { E } M \otimes _ { \mathbf{F}_ p} T _ { E } N$ ; confidence 0.290 | 256. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l12003071.png ; $T _ { E } ( M \otimes _ { \mathbf{F}_ p} N) = T _ { E } M \otimes _ { \mathbf{F}_ p} T _ { E } N$ ; confidence 0.290 | ||
| − | 257. https://www.encyclopediaofmath.org/legacyimages/y/y120/y120010/y120010105.png ; $\sigma_{ | + | 257. https://www.encyclopediaofmath.org/legacyimages/y/y120/y120010/y120010105.png ; $\sigma_{ U, V}$ ; confidence 0.290 |
258. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130210/b13021025.png ; $r , s \in R _ { w }$ ; confidence 0.290 | 258. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130210/b13021025.png ; $r , s \in R _ { w }$ ; confidence 0.290 | ||
| − | 259. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011074.png ; $\langle | + | 259. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011074.png ; $\langle \cdot , \cdot \rangle _ { E ^ { * } , E}$ ; confidence 0.290 |
260. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c13007064.png ; $\Leftarrow $ ; confidence 0.290 | 260. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c13007064.png ; $\Leftarrow $ ; confidence 0.290 | ||
| Line 528: | Line 528: | ||
264. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130210/t1302108.png ; $u ( a ) = u _ { a }$ ; confidence 0.290 | 264. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130210/t1302108.png ; $u ( a ) = u _ { a }$ ; confidence 0.290 | ||
| − | 265. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120240/b12024033.png ; $f = f _ { - } | + | 265. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120240/b12024033.png ; $f = f _ { - } \cdot \delta \cdot f _ { + }$ ; confidence 0.290 |
266. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130270/a13027061.png ; $x , y \in X _ { n }$ ; confidence 0.290 | 266. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130270/a13027061.png ; $x , y \in X _ { n }$ ; confidence 0.290 | ||
| Line 540: | Line 540: | ||
270. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020233.png ; $g ( \overline { u } _ { 1 } ) = v _ { M }$ ; confidence 0.289 | 270. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020233.png ; $g ( \overline { u } _ { 1 } ) = v _ { M }$ ; confidence 0.289 | ||
| − | 271. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120040/i12004019.png ; $K _ { \text{BM} } ( \zeta , z ) = \frac { ( n - 1 ) ! } { ( 2 \pi i ) ^ { n } } \frac { \omega _ { \zeta } ^ { \prime } ( \overline { \zeta } - \overline {z} ) \wedge \omega ( \zeta ) } { | \zeta - z | ^ { 2 n } } , \omega _ { \zeta } ^ { \prime } ( \overline { \zeta } - \overline {z} )$ ; confidence 0.289 | + | 271. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120040/i12004019.png ; $K _ { \text{BM} } ( \zeta , z ) = \frac { ( n - 1 ) ! } { ( 2 \pi i ) ^ { n } } \frac { \omega _ { \zeta } ^ { \prime } ( \overline { \zeta } - \overline {z} ) \wedge \omega ( \zeta ) } { | \zeta - z | ^ { 2 n } } ,\; \omega _ { \zeta } ^ { \prime } ( \overline { \zeta } - \overline {z} )=$ ; confidence 0.289 |
272. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062820/m06282022.png ; $x ^ { * }$ ; confidence 0.289 | 272. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062820/m06282022.png ; $x ^ { * }$ ; confidence 0.289 | ||
| Line 564: | Line 564: | ||
282. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d130060119.png ; $\operatorname {Bel} _ { Z | Y}$ ; confidence 0.289 | 282. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d130060119.png ; $\operatorname {Bel} _ { Z | Y}$ ; confidence 0.289 | ||
| − | 283. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180489.png ; $\lambda | + | 283. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180489.png ; $\lambda g_{ij} \in C ^ { \infty } ( N )$ ; confidence 0.289 |
284. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b12021013.png ; $\mathfrak{n}^{-}$ ; confidence 0.289 | 284. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b12021013.png ; $\mathfrak{n}^{-}$ ; confidence 0.289 | ||
| Line 570: | Line 570: | ||
285. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120050/g1200503.png ; $\mathcal{L} _ { R }$ ; confidence 0.288 | 285. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120050/g1200503.png ; $\mathcal{L} _ { R }$ ; confidence 0.288 | ||
| − | 286. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130270/b13027057.png ; $K _ | + | 286. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130270/b13027057.png ; $K _ 1 ^ { S } ( X )$ ; confidence 0.288 |
287. https://www.encyclopediaofmath.org/legacyimages/z/z120/z120010/z12001039.png ; $ U _{ - 1}$ ; confidence 0.288 | 287. https://www.encyclopediaofmath.org/legacyimages/z/z120/z120010/z12001039.png ; $ U _{ - 1}$ ; confidence 0.288 | ||
| Line 578: | Line 578: | ||
289. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012045.png ; $\mathbf{R} _ { + } ^ { 2 m }$ ; confidence 0.288 | 289. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012045.png ; $\mathbf{R} _ { + } ^ { 2 m }$ ; confidence 0.288 | ||
| − | 290. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120300/b12030055.png ; $\mathcal{A} ( \eta ) \phi = \lambda \phi \ | + | 290. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120300/b12030055.png ; $\mathcal{A} ( \eta ) \phi = \lambda \phi\, \text { in } \mathbf{R} ^ { N },$ ; confidence 0.288 |
| − | 291. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130590/s13059046.png ; $F _ { n } = \frac { 1 } { e _ { n } e _ { n - 1} } , G _ { n } = \frac { d _ { n } } { e _ { n } } ( e_{ 0} = 1 ),$ ; confidence 0.288 | + | 291. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130590/s13059046.png ; $F _ { n } = \frac { 1 } { e _ { n } e _ { n - 1} } ,\, G _ { n } = \frac { d _ { n } } { e _ { n } } ( e_{ 0} = 1 ),$ ; confidence 0.288 |
292. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m130140113.png ; $\| d _ { lm } ^ { p } \|$ ; confidence 0.288 | 292. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m130140113.png ; $\| d _ { lm } ^ { p } \|$ ; confidence 0.288 | ||
| − | 293. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120120/m12012080.png ; $( a f ) b = | + | 293. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120120/m12012080.png ; $( a f ) b = a ( g b )$ ; confidence 0.288 |
294. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a11068075.png ; $a / b$ ; confidence 0.288 | 294. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a11068075.png ; $a / b$ ; confidence 0.288 | ||
Latest revision as of 02:34, 27 June 2020
List
1. 
; $H _ { \mathcal{D} } ^ { i } ( X , A ( \,j ) )$ ; confidence 0.312
2. 
; $A _ { k }$ ; confidence 0.312
3. 
; $a_3 = 4 ,\; a _ { i + 3} = a _ { i }.$ ; confidence 0.312
4. 
; $L _ { 2 } ( \mathbf{R} ^ { n } )$ ; confidence 0.312
5. 
; $g ^ { - 1 } \{ p , q ; r , s \} : \otimes ^ { r + 4 } \mathcal{E} \rightarrow \otimes ^ { r } \mathcal{E}$ ; confidence 0.312
6. 
; $\mathsf{E} _ { \mathsf{P} _ { n } ^ { m } } ( d ) = \mathsf{E} _ { \mathsf{P} _ { n } ^ { m } } ( d ^ { * } )$ ; confidence 0.312
7. 
; $\mathfrak { S } _ { \{ 1 , \ldots , \lambda _ { 1 } \} } \times \mathfrak { S } _ { \{ \lambda _ { 1 } + 1 , \ldots , \lambda _ { 1 } + \lambda _ { 2 } \} } \times \dots$ ; confidence 0.312
8. 
; $p _ { k }$ ; confidence 0.312
9. 
; $a \equiv ( a _ { 1 } , \dots , a _ { n } )$ ; confidence 0.312
10. 
; $I q , q I \neq 0$ ; confidence 0.312
11. 
; $\tilde{I}$ ; confidence 0.312
12. 
; $y \sim a \operatorname { cos } \int _ { c } ^ { x } ( \lambda - V _ { 1 } ( t ) ) ^ { 1 / 2 } d t + b \operatorname { sin } \int ^ { x _ { c } } ( \lambda - V _ { 1 } ( t ) ) ^ { 1 / 2 } d t.$ ; confidence 0.312
13. 
; $S = ( s _ { 1 } , \dots , s _ { k } ) , \quad Y = ( y _ { 1 } , \dots , y _ { l } ) , \quad Z = ( z _ { 1 } , \dots , z _ { m } ),$ ; confidence 0.311
14. 
; $P _ { K } = P _ { m - 1 }$ ; confidence 0.311
15. 
; $R _ { j } \rightarrow \text{l}R _ { j }$ ; confidence 0.311
16. 
; $m ( P ) = \operatorname { log } | a _ { 0 } | + \sum _ { k = 1 } ^ { d } \operatorname { log } ( \operatorname { max } ( | \alpha _ { k } | , 1 ) ),$ ; confidence 0.311
17. 
; $\mathcal{O}$ ; confidence 0.311
18. 
; $| e _ { 1 } | ^ { \gamma } \leq L _ { \gamma , n } ^ { 1 } \int _ { \mathbf{R} ^ { n } } V _ { - } ( x ) ^ { \gamma + n / 2 } d x.$ ; confidence 0.311
19. 
; $\alpha _ 1 , \dots , \alpha _ { q } \in \mathcal{F} ( S ^ { d } )$ ; confidence 0.311
20. 
; $f \not\equiv \text{const}$ ; confidence 0.311
21. 
; $\operatorname { lim } _ { i \rightarrow \infty } x _ { n _ { i } n _ { j }} = 0 \text { for all } j \in \mathbf{N},$ ; confidence 0.311
22. 
; $H _ { j }$ ; confidence 0.311
23. 
; $| W^ { a } ( t ) |$ ; confidence 0.311
24. 
; $\alpha \in \mathbf{R} ^ { m }$ ; confidence 0.311
25. 
; $\square _ { 2 } \pi _ { * } ^ { s }$ ; confidence 0.310
26. 
; $K ( \tilde{ G } )$ ; confidence 0.310
27. 
; $\rho _ { a }$ ; confidence 0.310
28. 
; $\sum _ { n } \hat { \tau } _ { n }$ ; confidence 0.310
29. 
; $\operatorname{Bel} _ { E _ { 1 } , E _ { 2 } } = \operatorname{Bel} _ { E _ { 1 } } \oplus \operatorname{Bel} _ { E _ { 2 } }$ ; confidence 0.310
30. 
; $\partial d S / \partial T _ { n } = d \omega _ { n }$ ; confidence 0.310
31. 
; $G_{ - i}$ ; confidence 0.310
32. 
; $s-$ ; confidence 0.310
33. 
; $a ^ { n } \leq b$ ; confidence 0.310
34. 
; $\frac { \partial c } { \partial n } = \frac { \partial \Delta c } { \partial n } = 0 \text { on } \partial V.$ ; confidence 0.310
35. 
; $J \in W$ ; confidence 0.310
36. 
; $= \left\{ x \in \Sigma ^ { 2 } ( f ) : \begin{array}{c} { \exists \text {a line }\ \text{l} \subset K _ { x } } \\ { \text{such that} \ \widetilde{d^{2}f_x}|_{\text{l}\times \text{l}} } \end{array} \right\}. $ ; confidence 0.309
37. 
; $U _ { y } \not \ni x$ ; confidence 0.309
38. 
; $f _ { i + 1 / 2 } = \frac { 1 } { 2 } ( 1 + c )\, f _ { i } ^ { n } + \frac { 1 } { 2 } ( 1 - c )\, f _ { i + 1 } ^ { n }$ ; confidence 0.309
39. 
; $A ^ { m }$ ; confidence 0.309
40. 
; $\text{co} \mathcal{C}$ ; confidence 0.309
41. 
; $\mathcal{H} _ { n }$ ; confidence 0.309
42. 
; $k ^ { n } ( B _ { n } ( h / k ) - B _ { n } )$ ; confidence 0.309
43. 
; $\operatorname{min}_{j \neq r} | z _ { j } - z _ { r } | \geq \delta | z _ { r } |$ ; confidence 0.309
44. 
; $G _ { k } ( z ) = \sum _ { c , d \in \mathbf{Z} ^ { 2 } \backslash 0 } ( c z + d ) ^ { - k } ,\, k = 4,6,8, \dots ,$ ; confidence 0.309
45. 
; $F ( \mu _ { n } )$ ; confidence 0.309
46. 
; $\hat{A}$ ; confidence 0.309
47. 
; $d ^ { k }$ ; confidence 0.308
48. 
; $\mathbf{x}$ ; confidence 0.308
49. 
; $\{ f _ { \text{l} } \} _ { \text{l} = 1 } ^ { \infty }$ ; confidence 0.308
50. 
; $\sigma _ { s _ { i } w} $ ; confidence 0.308
51. 
; $2 ^ { m - 1 } - 2 ^ { m / 2 - 1 + r }$ ; confidence 0.308
52. 
; $\mathsf{E} [ T ( x ) ] _{\text{PS}} = \frac { x } { 1 - \rho }.$ ; confidence 0.308
53. 
; $c _ { - n } = c _ { n } , \quad n = 1,2 , \dots .$ ; confidence 0.308
54. 
; $d _ { 1 } , \dots , d _ { r }$ ; confidence 0.308
55. 
; $H ^ { \widehat{\otimes} n }$ ; confidence 0.308
56. 
; $\mathbf{l} _ { 1 } ( P , Q )$ ; confidence 0.308
57. 
; $q \in Q$ ; confidence 0.307
58. 
; $\varrho $ ; confidence 0.307
59. 
; $m = \left( \begin{array} { c } { a _ { k } } \\ { k } \end{array} \right) + \left( \begin{array} { c } { a _ { k - 1} } \\ { k - 1 } \end{array} \right) + \ldots + \left( \begin{array} { c } { a _ { 2 } } \\ { 2 } \end{array} \right) + \left( \begin{array} { c } { a _ { 1 } } \\ { 1 } \end{array} \right),$ ; confidence 0.307
60. 
; $\operatorname { Tr}$ ; confidence 0.307
61. 
; $\alpha \in S ( m _ { 1 } , G )$ ; confidence 0.307
62. 
; $H _ { \operatorname { B} } : \operatorname { Ext } _ { \mathcal{MM} _ { \mathbf{Q} } } ^ { 1 } ( \mathbf{Q} ( 0 ) , h ^ { i } ( X ) ( \,j ) ) \rightarrow$ ; confidence 0.307
63. 
; $q$ ; confidence 0.307
64. 
; $e > d$ ; confidence 0.307
65. 
; $= g ^ { - 1 } \{ p _ { 1 } , p _ { 2 } ; \ldots ; p _ { 4 m - 1 } , p _ { 4 m } \} ( W ( g ) \bigotimes \ldots \bigotimes W ( g ) ) \in \in C ^ { \infty } ( M )$ ; confidence 0.307
66. 
; $s _ { \lambda } = \frac { a _ { \lambda + \delta} } { a _ { \delta } },$ ; confidence 0.307
67. 
; $r _ { i } = y _ { i } - \overset{\rightharpoonup} { x } _ { i } ^ { t } T _ { n }$ ; confidence 0.307
68. 
; $\square_{a} \varphi ( x ) = \varphi ( a x )$ ; confidence 0.307
69. 
; $\mathcal{E}_{ * *} = \operatorname { Hom } _ { \mathcal{R} } ( \mathcal{E}_ * , \mathcal{R} )$ ; confidence 0.307
70. 
; $U \# \Omega = U \bigcap \{ \operatorname { Im } z _ { k } \neq 0 : k = 1 , \ldots , n \},$ ; confidence 0.306
71. 
; $\delta _ { A ^ * , B^ *} ( X ) \in I$ ; confidence 0.306
72. 
; $s ( r _ { 1 } , \dots , r _ { n } )$ ; confidence 0.306
73. 
; $g _ { r } : B _ { r } \rightarrow B _ { r + 1}$ ; confidence 0.306
74. 
; $\pi _ { G \times_{ G _ { X }} } S$ ; confidence 0.306
75. 
; $S _ { i - 1 } \rightarrow \langle m \rangle$ ; confidence 0.306
76. 
; $y _ { 1 } , \dots , y _ { s } \in \mathfrak { m }$ ; confidence 0.306
77. 
; $\mathfrak{g}/\mathfrak{h}$ ; confidence 0.305
78. 
; $c_0 \geq 0$ ; confidence 0.305
79. 
; $\forall x _ { 1 } , \ldots , x _ { n }:$ ; confidence 0.305
80. 
; $L _ { 3 } ^ { \prime }$ ; confidence 0.305
81. 
; $a ^ { n }$ ; confidence 0.305
82. 
; $F _ { \nu _ { 1 } , \nu _ { 2 } } = \frac { \nu _ { 2 } X _ { 1 }} { \nu _ { 1 } X _ { 2 } } ,$ ; confidence 0.305
83. 
; $( a \circ b ) ( x , \xi ) = \sum _ { | \alpha | < N } \frac { 1 } { \alpha ! } D _ { \xi } ^ { \alpha } a \partial _ { x } ^ { \alpha } b + t _ { N } ( a , b ),$ ; confidence 0.305
84. 
; $e _ { \lambda _ { i } }$ ; confidence 0.305
85. 
; $\langle a , x \rangle = 0$ ; confidence 0.305
86. 
; $A _{i, \,j} \in k ,\; i = 1 , \dots , r.$ ; confidence 0.305
87. 
; $\mathbf{A} ^ { + }$ ; confidence 0.305
88. 
; $r _ { i } \searrow 0$ ; confidence 0.304
89. 
; $\Delta g = g \bigotimes g,\; \epsilon g = 1,\; \ S _ { g } = g ^ { - 1 },$ ; confidence 0.304
90. 
; $\&$ ; confidence 0.304
91. 
; $a _ { n } = b _ { n } + \sum _ { 0 } ^ { n } a _ { n - j} p _ { j } ,\; n = 0,1, \dots ,$ ; confidence 0.304
92. 
; $F _ { t } | _ { A } = H _ { t }$ ; confidence 0.304
93. 
; $H _ { * } ^ { S } (\cdot \ ; G )$ ; confidence 0.304
94. 
; $a _ { 1 } , \dots , a _ { s }$ ; confidence 0.304
95. 
; $S _ { \theta _ { 0 } } = \{ z \in \mathbf{C} : |\operatorname { arg } z | \leq \theta _ { 0 } \} \cup \{ 0 \}$ ; confidence 0.304
96. 
; $M ( t )$ ; confidence 0.304
97. 
; $c _ { n } = \int _ { 0 } ^ { \infty } t ^ { n } d \psi ( t ) ,\; n = 0 , \pm 1 , \pm 2, \dots .$ ; confidence 0.304
98. 
; $\hat { \theta } _ { N } = \operatorname { arg } \operatorname { min } _ { \theta \in D _ { \mathcal{M} } } \sum _ { \mathcal{M} } ^ { N _ { t } = 1 } \text{l} \left( y ( t ) - f ( Z ^ { t - 1 } , t , \theta ) \right),$ ; confidence 0.304
99. 
; $t _ { 0 } \in J _ { x }$ ; confidence 0.304
100. 
; $K _ { 9 , 9}$ ; confidence 0.304
101. 
; $\cup _ { d }$ ; confidence 0.304
102. 
; $\gamma _ { n } ( m ) = \sum _ { d | ( n , m ) } d ^ { k - 1 } c \left( \frac { m n } { d ^ { 2 } } \right).$ ; confidence 0.304
103. 
; $\Delta _ { \sigma } = \{ x \in \mathbf{R} ^ { n } : \sigma _ { j }\, x _ { j } > 0 \}$ ; confidence 0.304
104. 
; $\mathcal{C} _ { p }$ ; confidence 0.304
105. 
; $L _ { \gamma , n } ^ { c } < \infty$ ; confidence 0.303
106. 
; $L y = \left( \frac { d } { d x } + r _ { n } \right) \dots \left( \frac { d } { d x } + r _ { 1 } \right) y.$ ; confidence 0.303
107. 
; $( \operatorname{Op} ( a ) ) ^ { * } = \operatorname{Op} ( J \overline { a } )$ ; confidence 0.303
108. 
; $d _ { 2 } ( f ( x ) , f ( y ) ) = r$ ; confidence 0.303
109. 
; $\mathfrak{sl}_n ( \mathbf{C} )$ ; confidence 0.303
110. 
; $\chi ( z ) = ( z ^ { n } ) _ { n \in \mathbf{Z} }$ ; confidence 0.303
111. 
; $s \in \mathbf{Z} _ { p }$ ; confidence 0.303
112. 
; $\overline{X} = X \otimes _ { k } \overline { k } _ { s }$ ; confidence 0.303
113. 
; $( ( K _ { X } + B ) \cdot v ^ { \prime } ) \geq 0$ ; confidence 0.303
114. 
; $\widehat { R \mathcal{K} }$ ; confidence 0.303
115. 
; $\left\{ s \in \mathcal{S} : \left( \begin{array} { c c c } { x _ { 11 } ( s _ { 11 } ) } & { \dots } & { x _ { 1 n } ( s _ { 1 n } ) } \\ { \vdots } & { \square } & { \vdots } \\ { x _ { p 1 } ( s _ { p 1 } ) } & { \dots } & { x _ { p n } ( s _ { p n } ) } \end{array} \right) \in B \right\}$ ; confidence 0.303
116. 
; $D _ { a }$ ; confidence 0.302
117. 
; $T_{\phi}\,f = \mathcal{P}_{ +} \phi f$ ; confidence 0.302
118. 
; $( ( K_{X} + B ) \cdot v ) < 0$ ; confidence 0.302
119. 
; $\operatorname { grad } \psi = ( \partial \psi / \partial \zeta _ { 1 } , \dots , \partial \psi / \partial \zeta _ { n } )$ ; confidence 0.302
120. 
; $\mathcal{V} _ { n }$ ; confidence 0.302
121. 
; $a _ { m } = b _ { m }$ ; confidence 0.302
122. 
; $\mathcal{D} = \mathbf{R}\cdot 1 \oplus e \cdot \mathbf{R}$ ; confidence 0.302
123. 
; $\mathbf{l} _ { p } ( P , Q )$ ; confidence 0.302
124. 
; $\mathbf{A} / \Theta \in \mathsf{Q}$ ; confidence 0.302
125. 
; $\phi _ { n } ( x )$ ; confidence 0.302
126. 
; $R ^ { * } G _ { \text { inn } }$ ; confidence 0.301
127. 
; $\left[ \left( \begin{array} { c c } { \text{Id} } & { 0 } \\ { 0 } & { - \text{Id} } \end{array} \right) , L _ { i } \right] = i L _ { i } ( - 2 \leq i \leq 2 ).$ ; confidence 0.301
128. 
; $Q _ { h }$ ; confidence 0.301
129. 
; $c _ { m ,\, n } = \left\{ \begin{array} { l l } { 2 ^ { 1 - n } \left( \frac { n + k } { 4 e ( m + n + k ) } \right) ^ { n + k } } & { \text { if } \frac { m } { m + n + k } \geq \rho, } \\ { \rho ^ { m } 2 ^ { 1 - n } \left( \frac { 1 - \rho } { 4 } \right) ^ { n + k } } & { \text { if } \frac { m } { m + n + k } < \rho. } \end{array} \right.$ ; confidence 0.301
130. 
; $M ( S _ { n } ) \cong \left\{ \begin{array} { l l } { \mathbf{Z} _ { 2 } } & { \text { if } n \geq 4, } \\ { \{ e \} } & { \text { if } n < 4, } \end{array} \right.$ ; confidence 0.301
131. 
; $\mathbf{C} ^ { n } \backslash \overline { D }$ ; confidence 0.301
132. 
; $[ ( x , \xi ) , ( y , \eta ) ] = \langle \xi , y \rangle _ { E ^{ * } , E } - \langle \eta , x \rangle _ { E ^{ * } , E },$ ; confidence 0.301
133. 
; $ e _{0} ^ { [ p ] } - e _ { 0 } = 0$ ; confidence 0.301
134. 
; $x \in \mathcal{D} \subset \mathbf{R} ^ { n }$ ; confidence 0.301
135. 
; $P _ { m } ^{( \alpha , \beta )}$ ; confidence 0.301
136. 
; $\tilde { A } = A \oplus \mathbf{C}$ ; confidence 0.301
137. 
; $\int _ { 0 } ^ { t } I _ { ( 0 ) } ( Y _ { s } ) d \text{l} _ { s } = \text{l} _ { t }$ ; confidence 0.301
138. 
; $x _ { c }$ ; confidence 0.301
139. 
; $B _ { a } ( 0 )$ ; confidence 0.300
140. 
; $p ( z ) = z ^ { n } + a _ { n - 1} z ^ { n - 1 } + \ldots + a _ { 0 }$ ; confidence 0.300
141. 
; $\geq \frac { n } { 4 N ^ { 3 / 2} } \operatorname { exp } \left( - 30 n \left( \frac { 1 } { \operatorname { log } ( N / n ) } + \frac { 1 } { \operatorname { log } ( N / m ) } \right) \right) \times \times \operatorname { min } _ { l \leq n } \left| \sum _ { j = 1 } ^ { l } b _ { j }\right| .$ ; confidence 0.300
142. 
; $K ( \langle a b c ) , d ) + K ( c , \langle a b d \rangle \rangle + K ( a , K ( c , d ) b ) = 0,$ ; confidence 0.300
143. 
; $b _ { k }$ ; confidence 0.300
144. 
; $X _ { i } ( - t , x _ { 1 } , \ldots , x _ { n } )$ ; confidence 0.300
145. 
; $\mathfrak{p} \in \operatorname { Spec } A \backslash \{ \mathfrak{m} \}$ ; confidence 0.300
146. 
; $\text{III} _ { \lambda }$ ; confidence 0.300
147. 
; $\{ H , \rho \} _ { \text{qu} . } = [ H , \rho ] / ( i \hbar )$ ; confidence 0.300
148. 
; $\dot { x } _ { i } = \phi _ { i } ( x _ { 1 } , \ldots , x _ { n } ) , \quad i = 1 , \ldots , n,$ ; confidence 0.300
149. 
; $\partial _ { t }\, f + a ( \xi ) \cdot \nabla _ { x }\, f = 0 \text { in } ] t _ { n } , t _ { n } + 1 [ \times \mathbf{R} ^ { N } \times \Xi,$ ; confidence 0.300
150. 
; $\pi _ { X } : T _ { X } \rightarrow X$ ; confidence 0.300
151. 
; $D _ { t }\, f = \left( ( n + 1 )\, f ^ { ( n + 1 ) } ( t , \cdot ) \right) _ { n \in \mathbf{N} _ { 0 } }$ ; confidence 0.300
152. 
; $\int _ { 0 } ^ { 1 } \frac { t\operatorname { log } ( t ^ { - 1 } \pm t ) } { 1 + t ^ { 4 } } d t =$ ; confidence 0.299
153. 
; $\pi_{ *} : H _ { c } ^ { * } ( T _ { \text { vert } } ^ { * } Y ) \rightarrow H ^ { * - 2 n} ( B )$ ; confidence 0.299
154. 
; $\mathsf{P} ( A _ { 1 } \bigcup \ldots \bigcup A _ { n } ) = S _ { 1 } - S _ { 2 } + \ldots + ( - 1 ) ^ { n - 1 } S _ { n }.$ ; confidence 0.299
155. 
; $\operatorname { St } ( \Lambda , I ) \rightarrow \operatorname { GL } ( \Lambda , I )$ ; confidence 0.299
156. 
; $\overline { u }$ ; confidence 0.299
157. 
; $V ( \tilde { \mathbf{Q} } _ { p } )$ ; confidence 0.299
158. 
; $F ( 2 , m ) = \langle x _ { 1 } , \dots , x _ { m } | x _ { i } x _ { i + 1} = x _ { i + 2} \rangle,$ ; confidence 0.299
159. 
; $M \cong \bigoplus _ { i = 0 } ^ { d } E _ { i } ^ { h _ { i } },$ ; confidence 0.299
160. 
; $h \in \mathbf{N}$ ; confidence 0.299
161. 
; $\mathfrak{p}$ ; confidence 0.299
162. 
; $a _ { n + 1} = \frac { 1 } { 2 } ( a _ { n } + b _ { n } ) ,\, b _ { n + 1} = \sqrt { a _ { n } b _ { n } }.$ ; confidence 0.299
163. 
; $= \frac { ( 1 - \alpha ) } { k + c m _ { k } } \text{..} [ ( i - 1 + c ) \mu ( i - 1 , m ) - ( i + c ) \mu ( i , m ) ] +$ ; confidence 0.299
164. 
; $[ L : K ] = \sum _ { l = 1 } ^ { m } [ L ^ { H _ { i } } : K ^ { H _ { i } } ].$ ; confidence 0.298
165. 
; $S = S ^ { + } \cup S ^ { - } \subset \mathfrak{h} ^ { * }$ ; confidence 0.298
166. 
; $\Delta$ ; confidence 0.298
167. 
; $\cup _ { k = 1 } ^ { s } D _ { k }$ ; confidence 0.298
168. 
; $D T _ { j } ^ { i } = \nabla _ { k } T _ { j } ^ { i } d x ^ { k } =$ ; confidence 0.298
169. 
; $\sigma ( \Gamma ) \vdash_{\mathcal{D}} \sigma ( \varphi )$ ; confidence 0.298
170. 
; $x _ { n } \theta$ ; confidence 0.298
171. 
; $\{ A _ { n } = z ^ { n } : n \in \mathbf{Z} \}$ ; confidence 0.298
172. 
; $U ^ { + } \partial M = \{ v \in S N : \langle v , N _ { x } \rangle > 0 \}$ ; confidence 0.298
173. 
; $\alpha _ { n }$ ; confidence 0.298
174. 
; $F \in \text{Fi} _ { \mathcal{D} }\mathbf{B}$ ; confidence 0.298
175. 
; $y = \left\{ \begin{array} { l l } { \left( \frac { c } { a - x } \right) ^ { k + 1 } } & { \text { for } x \in ( - \infty , a - c ], } \\ { 1 } & { \text { for } x \in [ a - c , a - c + b ], } \\ { \left( \frac { b - c } { x - a } \right) ^ { k + 1 } } & { \text { for } x \in [ a - c + b , \infty ]. } \end{array} \right.$ ; confidence 0.297
176. 
; $[ \cdot , \cdot ]_{d}$ ; confidence 0.297
177. 
; $\mathcal{F} ^ { \# } ( n ) \sim K _ { 0 } C _ { 0 } q _ { 0 } ^ { n } n ^ { - 5 / 2 } \text { as } \ n \rightarrow \infty,$ ; confidence 0.297
178. 
; $rg_1$ ; confidence 0.297
179. 
; $\Downarrow x \in X \text { and } \| x \| \leq \| y \|.$ ; confidence 0.297
180. 
; $X = Y = \mathbf{R} ^ { n }$ ; confidence 0.297
181. 
; $\left\| \sum _ { j = 1 } ^ { m } w _ { j } \cdot \frac { p _ { j } - p _ { i } } { \| p _ { j } - p _ { i } \| } \right\| \leq w _ { i } ,\, i \neq j,$ ; confidence 0.297
182. 
; $Ts : T M \rightarrow T Y$ ; confidence 0.297
183. 
; $( p _ { n } ^ { ( \alpha , \beta ) } )$ ; confidence 0.296
184. 
; $\beta _ { 0 } ( \phi , \rho ) = \int _ { M } \phi \rho$ ; confidence 0.296
185. 
; $\mathcal{ I}_ { k + 1 } / \mathcal{I} _ { k }$ ; confidence 0.296
186. 
; $R _ { V } ( u \otimes v ) = R \cdot ( u \otimes v )$ ; confidence 0.296
187. 
; $( H ^ { i } ( \overline{X} , \overline{F} _ { n } ) ) _ { n \in \mathbf{N} }$ ; confidence 0.296
188. 
; $( \mathcal{A} F ) _ { n } ( X ) = \int d x _ { n + 1} F _ { n + 1} ( X , x _ { n + 1} ).$ ; confidence 0.296
189. 
; $\left\{ \begin{array} { l } { x _ { n + 1} = T x _ { n } + F u _ { n }, } \\ { v _ { n } = G x _ { n } + H u _ { n }, } \end{array} \right.$ ; confidence 0.296
190. 
; $t _ { n } = n k $ ; confidence 0.296
191. 
; $\times ( x - 1 ) ^ { r ( M ) - r ( S ) } ( y - 1 ) ^ { | S | - r ( s )}$ ; confidence 0.296
192. 
; $s _ { n } = - i \hat{T} _ { n }$ ; confidence 0.296
193. 
; $K ( f ) = \operatorname { max } \{ K _ { \text{O} } (\, f ) , K _ { \text{I} } (\, f ) \}$ ; confidence 0.296
194. 
; $A _ { 1 } ^ { n } , \dots , A _ { i } ^ { n }$ ; confidence 0.296
195. 
; $Q _ {\lambda} Q _ { \mu }$ ; confidence 0.295
196. 
; $G = \langle a \rangle \rtimes \langle b \rangle$ ; confidence 0.295
197. 
; $\underline { f } _{+ \text{ap} }$ ; confidence 0.295
198. 
; $[ L : K ] = \sum _ { i = 1 } ^ { m } \delta ( w _ { i } | v ) \cdot e ( w _ { i } | v ) \cdot f ( w _ { i } | w ).$ ; confidence 0.295
199. 
; $z ^ { k } Z ^ { l }$ ; confidence 0.295
200. 
; $x ^ { * * } \notin K _ { n }$ ; confidence 0.295
201. 
; $u _ { N}$ ; confidence 0.295
202. 
; $\left[ \begin{array} { l } { Y _ { 1 } } \\ { Y _ { 2 } } \end{array} \right] = \left[ \begin{array} { c c } { \frac { 1 } { 1 - P C } } & { \frac { P } { 1 - P C } } \\ { \frac { C } { 1 - P C } } & { \frac { 1 } { 1 - P C } } \end{array} \right] \left[ \begin{array} { l } { X _ { 1 } } \\ { X _ { 2 } } \end{array} \right].$ ; confidence 0.295
203. 
; $\mathcal{P}_{*}$ ; confidence 0.295
204. 
; $\| a\| _{\text{HS}} = \| a \| _ { L } 2 _ { ( \mathbf{R} ^ { 2 n }) } $ ; confidence 0.295
205. 
; $( z_0 , \overline{z}_0 ) \in \gamma$ ; confidence 0.295
206. 
; $K ( a , b ) = \langle a , b \rangle \operatorname{Id}$ ; confidence 0.295
207. 
; $x \in L$ ; confidence 0.295
208. 
; $\lambda \in K _ { i ,\, j } ( A )$ ; confidence 0.295
209. 
; $\cup _ { n = 1 } ^ { \infty } V ^ { n } = \cup _ { N = 1 } ^ { \infty } U ^ { n }$ ; confidence 0.294
210. 
; $a _ {( p - 1 )/ 2 } \equiv \gamma _ { p } ( \operatorname { mod } p )$ ; confidence 0.294
211. 
; $(\text{B}) \left\{ \begin{array} { l } { \overline{x} \square ^ { i } = f ^ { i } ( x ^ { 1 } , \ldots , x ^ { n } , t ) , \quad i = 1 , \ldots , n, } \\ { \overline { t } = t. } \end{array} \right.$ ; confidence 0.294
212. 
; $\operatorname { rd } _{Y} ( M _ { k } (\, f ) ) \leq n - 2 - k $ ; confidence 0.294
213. 
; $B _ { n } / n$ ; confidence 0.294
214. 
; $\mu _ { k + 1 } \leq \lambda _ { k } ,\, k = 1, 2,\dots .$ ; confidence 0.294
215. 
; $\mathbf{A} / \Omega \mathcal{C}$ ; confidence 0.294
216. 
; $( a * b ) | b = a$ ; confidence 0.294
217. 
; $\frac { n } { \mu _ { n } } = \frac { \sum _ { x = 1 } ^ { n } x \mu _ { n } ( x ) } { \mu _ { n } } \sim \sum _ { x = 1 } ^ { n } \frac { 1 } { x + 1 } \rightarrow \infty .$ ; confidence 0.294
218. 
; $B G _ { n }$ ; confidence 0.294
219. 
; $( g _ { n } ) _ { n \geq 1}$ ; confidence 0.294
220. 
; $P _ { n } ^ { \prime }$ ; confidence 0.294
221. 
; $\tilde { M } \subset \mathbf{R} ^ { n } \times ( 0 , \infty ) \times ( - 1 , + 1 )$ ; confidence 0.294
222. 
; $n = 0,1 , \ldots,$ ; confidence 0.294
223. 
; $L ( \varepsilon ) = L _ { - 2 } \bigoplus L _ { - 1 } \bigoplus L _ { 0 } \bigoplus L _ { 1 } \bigoplus L _ { 2 },$ ; confidence 0.293
224. 
; $\mathcal{P} = \{ \mathsf{P} _ { n } ^ { m } : n \in \mathbf{N} \}$ ; confidence 0.293
225. 
; $n = \operatorname { dim } M$ ; confidence 0.293
226. 
; $b \in \mathbf{R} ^ { n }$ ; confidence 0.293
227. 
; $( I + H _ { x } ) \Gamma _ { x } : = \Gamma _ { x } ( t , s ) + \int _ { 0 } ^ { x } H ( t - u ) \Gamma _ { x } ( u , s ) d u = H ( t - s ) ,\, 0 \leq t , s \leq x,$ ; confidence 0.293
228. 
; $c _ { 3 } = 1$ ; confidence 0.292
229. 
; $\sigma ( A | _ { E \langle \Delta \rangle \mathcal{K} } ) \subset \overline { \Delta }$ ; confidence 0.292
230. 
; $\mathsf{E} [ \mu _ { n + 1 } ( x ) | \mu _ { n } ( \cdot ) ] - \mu _ { n } ( x ) =$ ; confidence 0.292
231. 
; $C_{t}$ ; confidence 0.292
232. 
; $\hat{K} \backslash K$ ; confidence 0.292
233. 
; $u ( x ) = \sum _ { n = 1 } ^ { \infty } \overline { k _ { n } } * \check{l} _ { n } ( x )$ ; confidence 0.292
234. 
; $A ( \alpha ^ { \prime } , \alpha , k ) = - \frac { 1 } { 4 \pi } \int _ { \mathbf{R} ^ { 3 } } e ^ { i k (\alpha - \alpha ^ { \prime } ) x } q ( x ) d x + O \left( \frac { 1 } { k } \right),$ ; confidence 0.292
235. 
; $\psi _ { \mathfrak { A } } ^ { l - m } \overline { a }$ ; confidence 0.292
236. 
; $\operatorname{vp} \frac { 1 } { x }$ ; confidence 0.292
237. 
; $\mathcal{P} = \langle x _ { 1 } , \dots , x _ { n } | R _ { 1 } , \dots , R _ { n } \rangle$ ; confidence 0.292
238. 
; $:= \left( \begin{array} { c c } { L ( a , d ) - L ( c , b ) } & { K ( a , c ) } \\ { - \varepsilon K ( b , d ) } & { \varepsilon ( L ( d , a ) - L ( b , c ) ) } \end{array} \right) \left( \begin{array} { l } { e } \\ { f } \end{array} \right).$ ; confidence 0.292
239. 
; $R ( \tilde{ g } ) = W ( \tilde { g } ) \in \mathsf{A} ^ { 2 } \mathcal{E} \otimes \mathsf{A} ^ { 2 } \mathcal{E}$ ; confidence 0.292
240. 
; $W ^ { a } ( t ) = \bigcup _ { 0 \leq s \leq t } B _ { a } ( \beta ( s ) ) , \quad t \geq 0,$ ; confidence 0.291
241. 
; $m ( P ) = \int _ { 0 } ^ { 1 } \ldots \int _ { 0 } ^ { 1 } \operatorname { log } | P ( e ^ { i t_{1} } , \ldots , e ^ { i t _ { n } } ) | d t _ { 1 } \ldots d t _ { n }.$ ; confidence 0.291
242. 
; $T \in \mathcal{T}$ ; confidence 0.291
243. 
; $\Delta t ^ { n } = t ^ { n + 1 } - t ^ { n }$ ; confidence 0.291
244. 
; $W _ { n } \supset W _ { n + 1}$ ; confidence 0.291
245. 
; $u _ { n } ( \mathbf{1} ) = D ^ { ( - n - 1 ) } ( u )$ ; confidence 0.291
246. 
; $+ \frac { - 1 } { k ! ( \operatorname {l} - 1 ) ! } \sum _ { \sigma } \operatorname { sign } \sigma \times \times L ( [ K ( X _ { \sigma 1 } , \ldots , X _ { \sigma k } ) , X _ { \sigma ( k + 1 ) } ] , X _ { \sigma ( k + 2 ) } , \ldots )+$ ; confidence 0.291
247. 
; $v = \sqrt { y ^ { T } H y } \left( \frac { s } { s ^ { T } y } - \frac { H y } { y ^ { T } H y } \right).$ ; confidence 0.291
248. 
; $( \varphi_j , \varphi _ { m } ) _ { 0 } = \delta _ { j m }$ ; confidence 0.290
249. 
; $\{ L ( x , y ) \} _ { \text{span} }$ ; confidence 0.290
250. 
; $\mathfrak { q } = ( a _ { 1 } , \ldots , a _ { s } )$ ; confidence 0.290
251. 
; $d a _ { i } = \sum _ { j + k = i - 1 } a _ { j } a _ { k }$ ; confidence 0.290
252. 
; $\mu ( u \cdot v , w ) = \# \{ ( \alpha ^ { \prime } , \beta ^ { \prime } ) \in A \times B : D \alpha ^ { \prime } \beta ^ { \prime } = D \xi \,\text { with } w = D \xi D \}$ ; confidence 0.290
253. 
; $T _ { \delta }$ ; confidence 0.290
254. 
; $\mathbf{a} \in R [ t ] ^ { l }$ ; confidence 0.290
255. 
; $\Gamma u = 0$ ; confidence 0.290
256. 
; $T _ { E } ( M \otimes _ { \mathbf{F}_ p} N) = T _ { E } M \otimes _ { \mathbf{F}_ p} T _ { E } N$ ; confidence 0.290
257. 
; $\sigma_{ U, V}$ ; confidence 0.290
258. 
; $r , s \in R _ { w }$ ; confidence 0.290
259. 
; $\langle \cdot , \cdot \rangle _ { E ^ { * } , E}$ ; confidence 0.290
260. 
; $\Leftarrow $ ; confidence 0.290
261. 
; $P_{ Y}$ ; confidence 0.290
262. 
; $f _ { i } ^ { n } = a u _ { i } ^ { n }$ ; confidence 0.290
263. 
; $( \Omega _ { + } - 1 ) g _ { 0 } P _ { + } \psi ( t )$ ; confidence 0.290
264. 
; $u ( a ) = u _ { a }$ ; confidence 0.290
265. 
; $f = f _ { - } \cdot \delta \cdot f _ { + }$ ; confidence 0.290
266. 
; $x , y \in X _ { n }$ ; confidence 0.290
267. 
; $\{ x _ { n_k } \}$ ; confidence 0.290
268. 
; $\tau : G \rightarrow G / H$ ; confidence 0.290
269. 
; $d _ { 1 } , \ldots , d _ { h }$ ; confidence 0.289
270. 
; $g ( \overline { u } _ { 1 } ) = v _ { M }$ ; confidence 0.289
271. 
; $K _ { \text{BM} } ( \zeta , z ) = \frac { ( n - 1 ) ! } { ( 2 \pi i ) ^ { n } } \frac { \omega _ { \zeta } ^ { \prime } ( \overline { \zeta } - \overline {z} ) \wedge \omega ( \zeta ) } { | \zeta - z | ^ { 2 n } } ,\; \omega _ { \zeta } ^ { \prime } ( \overline { \zeta } - \overline {z} )=$ ; confidence 0.289
272. 
; $x ^ { * }$ ; confidence 0.289
273. 
; $\mathbf{E} _ { 8 }$ ; confidence 0.289
274. 
; $\delta _ { k }$ ; confidence 0.289
275. 
; $ k = 1 , \ldots , r ( P )$ ; confidence 0.289
276. 
; $M _ { 2 } = \operatorname { min } _ { z _ { j } } \operatorname { max } _ { k = 2 , \ldots , n + 1 } | s _ { k } | \leq 2 ( n + 1 ) ^ { 2 } e ^ { - \theta n },$ ; confidence 0.289
277. 
; $\mu \in M _ { \text{C} } ^ {1} ( G )$ ; confidence 0.289
278. 
; $F _ { A } = d A + A \bigwedge A$ ; confidence 0.289
279. 
; $\sigma _ { x }$ ; confidence 0.289
280. 
; $\tilde { f } = \operatorname { id}$ ; confidence 0.289
281. 
; $p = \operatorname { char } \mathbf{F} _ { q }$ ; confidence 0.289
282. 
; $\operatorname {Bel} _ { Z | Y}$ ; confidence 0.289
283. 
; $\lambda g_{ij} \in C ^ { \infty } ( N )$ ; confidence 0.289
284. 
; $\mathfrak{n}^{-}$ ; confidence 0.289
285. 
; $\mathcal{L} _ { R }$ ; confidence 0.288
286. 
; $K _ 1 ^ { S } ( X )$ ; confidence 0.288
287. 
; $ U _{ - 1}$ ; confidence 0.288
288. 
; $A ^ { 2 } + B ^ { 2 } + C ^ { 2 } + D ^ { 2 } = 4 m I _ { m }$ ; confidence 0.288
289. 
; $\mathbf{R} _ { + } ^ { 2 m }$ ; confidence 0.288
290. 
; $\mathcal{A} ( \eta ) \phi = \lambda \phi\, \text { in } \mathbf{R} ^ { N },$ ; confidence 0.288
291. 
; $F _ { n } = \frac { 1 } { e _ { n } e _ { n - 1} } ,\, G _ { n } = \frac { d _ { n } } { e _ { n } } ( e_{ 0} = 1 ),$ ; confidence 0.288
292. 
; $\| d _ { lm } ^ { p } \|$ ; confidence 0.288
293. 
; $( a f ) b = a ( g b )$ ; confidence 0.288
294. 
; $a / b$ ; confidence 0.288
295. 
; $- \mathsf{P} [ ( X _ { 1 } - X _ { 2 } ) ( Y _ { 1 } - Y _ { 2 } ) < 0 ] =$ ; confidence 0.288
296. 
; $M \in \mathcal{K} ^ { n }$ ; confidence 0.288
297. 
; $C^{ 1 , \lambda }$ ; confidence 0.288
298. 
; $ k \in [ m + 1 , m + n _ { 1 } n _ { 2 } ]$ ; confidence 0.287
299. 
; $h _ { i } = \operatorname { l } _ { A } ( H _ { \mathfrak{m} } ^ { i } ( M ) )$ ; confidence 0.287
300. 
; $\underline{\operatorname { dim }} : K _ { 0 } ( \operatorname { mod } R ) \rightarrow \mathbf{Z} ^ { Q _ { 0 } }$ ; confidence 0.287
Maximilian Janisch/latexlist/latex/NoNroff/68. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/NoNroff/68&oldid=45494