Difference between revisions of "User:Maximilian Janisch/latexlist/latex/NoNroff/51"
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49. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z13011025.png ; $\mu _ { n } = \sum _ { i = 1 } ^ { N } 1 _ { \{ f _ { i n } \geq 1 \} }$ ; confidence 0.623 | 49. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z13011025.png ; $\mu _ { n } = \sum _ { i = 1 } ^ { N } 1 _ { \{ f _ { i n } \geq 1 \} }$ ; confidence 0.623 | ||
| − | 50. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036440/e03644017.png ; $| x |$ ; confidence 0.623 | + | 50. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036440/e03644017.png ; $| x |$ ; confidence 0.623 |
51. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012980/a012980112.png ; $k = 1 , \dots , n$ ; confidence 0.623 | 51. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012980/a012980112.png ; $k = 1 , \dots , n$ ; confidence 0.623 | ||
| − | 52. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v12002064.png ; $d _ { k } = rd _ { Y } M _ { k }$ ; confidence | + | 52. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v12002064.png ; $d _ { k } = \operatorname{rd} _ { Y } M _ { k }$ ; confidence 1.000 |
| − | 53. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130590/s13059029.png ; $H _ { k } ^ { ( m ) } > 0 , m = 0 , \pm 1 , \pm 2 , \ldots , k = 1,2 ,$ ; confidence | + | 53. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130590/s13059029.png ; $H _ { k } ^ { ( m ) } > 0 , m = 0 , \pm 1 , \pm 2 , \ldots , k = 1,2 ,\dots .$ ; confidence 1.000 |
54. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120360/b1203604.png ; $k _ { B }$ ; confidence 0.623 | 54. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120360/b1203604.png ; $k _ { B }$ ; confidence 0.623 | ||
| − | 55. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130110/v13011088.png ; $Cd \approx \frac { l } { b } , f \approx \frac { l } { U } , Cd \approx \frac { f U } { d } , Cd \approx \frac { 1 } { St }$ ; confidence | + | 55. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130110/v13011088.png ; $\\operatorname{Cd} \approx \frac { l } { b } , f \approx \frac { l } { U } , \operatorname{Cd} \approx \frac { f U } { d } , \operatorname{Cd} \approx \frac { 1 } { \operatorname{St} }$ ; confidence 1.000 |
| − | 56. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120020/n12002074.png ; $P ( m , F )$ ; confidence | + | 56. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120020/n12002074.png ; $\operatorname{P} ( m , F )$ ; confidence 1.000 |
57. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230184.png ; $E ^ { k + 1 }$ ; confidence 0.623 | 57. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230184.png ; $E ^ { k + 1 }$ ; confidence 0.623 | ||
| − | 58. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130190/c13019062.png ; $B ^ { | + | 58. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130190/c13019062.png ; $B ^ { n - k }$ ; confidence 1.000 |
59. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024076.png ; $m = 1 + I + J + I J$ ; confidence 0.623 | 59. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024076.png ; $m = 1 + I + J + I J$ ; confidence 0.623 | ||
| − | 60. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130090/b13009020.png ; $H ^ { 1 } ( R _ { X } )$ ; confidence | + | 60. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130090/b13009020.png ; $H ^ { 1 } ( {\bf R} _ { X } )$ ; confidence 1.000 |
61. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e12012040.png ; $g = ( g _ { 1 } , \dots , g _ { N } )$ ; confidence 0.622 | 61. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e12012040.png ; $g = ( g _ { 1 } , \dots , g _ { N } )$ ; confidence 0.622 | ||
| − | 62. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f120110175.png ; $f$ ; confidence | + | 62. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f120110175.png ; $\operatorname{WFA} f$ ; confidence 1.000 |
63. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m13014092.png ; $b _ { j } ^ { l } > 0$ ; confidence 0.622 | 63. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m13014092.png ; $b _ { j } ^ { l } > 0$ ; confidence 0.622 | ||
| − | 64. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w12007010.png ; $p | + | 64. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w12007010.png ; ${\bf p}_j$ ; confidence 1.000 |
| − | 65. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840239.png ; $x \in D ( p ( A ) )$ ; confidence | + | 65. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840239.png ; $x \in {\cal D} ( p ( A ) )$ ; confidence 1.000 |
| − | 66. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180300.png ; $R ( \nabla ) : \otimes ^ { r } E \rightarrow \otimes ^ { + 2 } E$ ; confidence | + | 66. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180300.png ; $R ( \nabla ) : \otimes ^ { r } {\cal E} \rightarrow \otimes ^ {r + 2 } {\cal E}$ ; confidence 1.000 |
| − | 67. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120160/d12016047.png ; $M _ { s }$ ; confidence | + | 67. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120160/d12016047.png ; ${\cal M} _ { s }$ ; confidence 1.000 |
| − | 68. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f120110126.png ; $F ( z ) = - \frac { 1 } { 2 \pi i } \ | + | 68. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f120110126.png ; $F ( z ) = - \frac { 1 } { 2 \pi i } \int_\gamma \frac { \operatorname { exp } e ^ { \zeta ^ { 2 } } } { \zeta - z } d \zeta$ ; confidence 1.000 |
69. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120060/d12006032.png ; $s ^ { 2 = 4 \lambda } ( x , y ) p q$ ; confidence 0.622 | 69. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120060/d12006032.png ; $s ^ { 2 = 4 \lambda } ( x , y ) p q$ ; confidence 0.622 | ||
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70. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z130110151.png ; $u = \alpha ^ { s }$ ; confidence 0.622 | 70. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z130110151.png ; $u = \alpha ^ { s }$ ; confidence 0.622 | ||
| − | 71. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130120/w13012031.png ; $T _ { B \delta }$ ; confidence | + | 71. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130120/w13012031.png ; $T _ { \text{B} \delta }$ ; confidence 1.000 |
| − | 72. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130030/z13003044.png ; $Z [ e ^ { 2 \pi i m t } f ( t + n ) ] ( t , w ) = e ^ { 2 \pi i m t } e ^ { 2 \pi i n w } ( Z f ) ( t , w )$ ; confidence 0.622 | + | 72. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130030/z13003044.png ; $Z [ e ^ { 2 \pi i m t } f ( t + n ) ] ( t , w ) = e ^ { 2 \pi i m t } e ^ { 2 \pi i n w } ( Z f ) ( t , w ).$ ; confidence 0.622 |
| − | 73. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e12010033.png ; $ | + | 73. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e12010033.png ; $\bf M$ ; confidence 1.000 |
74. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014310/a014310184.png ; $\Pi _ { 1 } ^ { 1 }$ ; confidence 0.621 | 74. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014310/a014310184.png ; $\Pi _ { 1 } ^ { 1 }$ ; confidence 0.621 | ||
| − | 75. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t12005059.png ; $U \rightarrow G _ { N } ( R ^ { N } \times R ^ { p } )$ ; confidence | + | 75. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t12005059.png ; $U \rightarrow G _ { N } ( {\bf R} ^ { N } \times {\bf R} ^ { p } )$ ; confidence 1.000 |
| − | 76. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130050/f1300503.png ; $f ( x ) = \sum _ { i = 1 } ^ { m } w _ { i } \| p _ { i } - x \| , x \in R ^ { n }$ ; confidence | + | 76. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130050/f1300503.png ; $f ( x ) = \sum _ { i = 1 } ^ { m } w _ { i } \| p _ { i } - x \| , x \in {\bf R} ^ { n },$ ; confidence 1.000 |
| − | 77. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030270/d03027030.png ; $V _ { | + | 77. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030270/d03027030.png ; $V _ { n , p } ( f , x ) = f ( x )$ ; confidence 1.000 |
78. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021940/c02194023.png ; $Q _ { n } ( x )$ ; confidence 0.621 | 78. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021940/c02194023.png ; $Q _ { n } ( x )$ ; confidence 0.621 | ||
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79. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s13064015.png ; $E ( a )$ ; confidence 0.621 | 79. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s13064015.png ; $E ( a )$ ; confidence 0.621 | ||
| − | 80. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040036.png ; $g \times ^ { \varrho } f \in G \times ^ { \varrho } F$ ; confidence | + | 80. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040036.png ; $g \times ^ { \varrho } {\bf f} \in G \times ^ { \varrho } F$ ; confidence 1.000 |
81. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130050/w1300507.png ; $S _ { \mathfrak { g } } ^ { * }$ ; confidence 0.621 | 81. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130050/w1300507.png ; $S _ { \mathfrak { g } } ^ { * }$ ; confidence 0.621 | ||
| − | 82. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120050/b1200506.png ; $P : E \rightarrow C$ ; confidence | + | 82. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120050/b1200506.png ; $P : E \rightarrow \bf C$ ; confidence 1.000 |
| − | 83. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120170/b12017029.png ; $G _ { | + | 83. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120170/b12017029.png ; ${\cal G} _ { \alpha }$ ; confidence 1.000 |
84. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130170/b13017038.png ; $\phi _ { t }$ ; confidence 0.621 | 84. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130170/b13017038.png ; $\phi _ { t }$ ; confidence 0.621 | ||
| − | 85. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120180/w12018023.png ; $P \{ \operatorname { sup } W ^ { ( N ) } ( t ) > u \}$ ; confidence | + | 85. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120180/w12018023.png ; $\operatorname{P} \{ \operatorname { sup } W ^ { ( N ) } ( t ) > u \}$ ; confidence 1.000 |
| − | 86. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180150.png ; $X \otimes Y \in \otimes ^ { 2 } E *$ ; confidence | + | 86. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180150.png ; $X \otimes Y \in \otimes ^ { 2 } \cal E *$ ; confidence 1.000 |
| − | 87. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780157.png ; $\ | + | 87. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780157.png ; $\xi_r$ ; confidence 1.000 |
| − | 88. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a130180192.png ; $V \subseteq C A$ ; confidence | + | 88. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a130180192.png ; $V \subseteq {\bf C A}_\alpha$ ; confidence 1.000 |
| − | 89. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220219.png ; $ | + | 89. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220219.png ; ${\bf MM}_{\cal Z}$ ; confidence 1.000 |
| − | 90. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p1201708.png ; $\delta _ { A } \subseteq \operatorname { ker } \delta _ { A } *$ ; confidence | + | 90. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p1201708.png ; $\operatorname { ker }\delta _ { A } \subseteq \operatorname { ker } \delta _ { A } *$ ; confidence 1.000 |
| − | 91. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110020/l11002018.png ; $\{ , e , - 1 , \vee , \wedge \}$ ; confidence | + | 91. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110020/l11002018.png ; $\{. , e , ^{- 1} , \vee , \wedge \}$ ; confidence 1.000 |
92. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014050/a01405025.png ; $B _ { 1 }$ ; confidence 0.620 | 92. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014050/a01405025.png ; $B _ { 1 }$ ; confidence 0.620 | ||
| Line 186: | Line 186: | ||
93. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130190/a13019012.png ; $r ^ { i } ( A ) * r ^ { j } ( B )$ ; confidence 0.620 | 93. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130190/a13019012.png ; $r ^ { i } ( A ) * r ^ { j } ( B )$ ; confidence 0.620 | ||
| − | 94. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120070/h12007018.png ; $A _ { | + | 94. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120070/h12007018.png ; $A _ { h } , A _ { k } , A _ { m }$ ; confidence 1.000 |
| − | 95. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120120/k1201201.png ; $K : = \int \frac { - \operatorname { ln } f ( . ) } { 1 + x ^ { 2 } } d x$ ; confidence | + | 95. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120120/k1201201.png ; $K : = \int \frac { - \operatorname { ln } f ( . ) } { 1 + x ^ { 2 } } d x,$ ; confidence 1.000 |
96. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110236.png ; $b \in S ( m _ { 2 } , G )$ ; confidence 0.620 | 96. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110236.png ; $b \in S ( m _ { 2 } , G )$ ; confidence 0.620 | ||
| − | 97. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130090/f13009060.png ; $P ( N _ { k } = n ) = p ^ { n } F _ { n + 1 - k } ^ { ( k ) } ( \frac { q } { p } )$ ; confidence | + | 97. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130090/f13009060.png ; $\operatorname{P} ( N _ { k } = n ) = p ^ { n } F _ { n + 1 - k } ^ { ( k ) } ( \frac { q } { p } ),$ ; confidence 1.000 |
| − | 98. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120110/h12011017.png ; $\sigma ( z ) = e ^ { i \theta } z + | + | 98. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120110/h12011017.png ; $\sigma ( z ) = e ^ { i \theta } z + a$ ; confidence 1.000 |
| − | 99. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130020/h13002082.png ; $ | + | 99. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130020/h13002082.png ; ${\bf Z} ^ { d }$ ; confidence 1.000 |
| − | 100. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s1300402.png ; $G = SL ( 2 , R )$ ; confidence | + | 100. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s1300402.png ; $G = \operatorname{SL} ( 2 , \bf R )$ ; confidence 1.000 |
101. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520160.png ; $( \lambda - a _ { i } ) ^ { n _ { i j } }$ ; confidence 0.620 | 101. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520160.png ; $( \lambda - a _ { i } ) ^ { n _ { i j } }$ ; confidence 0.620 | ||
| Line 210: | Line 210: | ||
105. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240333.png ; $n \times p _ { 1 }$ ; confidence 0.620 | 105. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240333.png ; $n \times p _ { 1 }$ ; confidence 0.620 | ||
| − | 106. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055780/k05578011.png ; $F _ { i } ( \tau ) = \int _ { 0 } ^ { \infty } \frac { \sqrt { 2 \tau \operatorname { sinh } \pi \tau } } { \pi } \frac { K _ { i \tau } } { \sqrt { x } } f _ { i } ( x ) d x$ ; confidence 0.620 | + | 106. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055780/k05578011.png ; $F _ { i } ( \tau ) = \int _ { 0 } ^ { \infty } \frac { \sqrt { 2 \tau \operatorname { sinh } \pi \tau } } { \pi } \frac { K _ { i \tau } } { \sqrt { x } } f _ { i } ( x ) d x.$ ; confidence 0.620 |
| − | 107. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a1302401.png ; $y = X \beta + e$ ; confidence | + | 107. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a1302401.png ; $\bf y = X \beta + e,$ ; confidence 1.000 |
| − | 108. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080146.png ; $G = GL ( N , C )$ ; confidence | + | 108. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080146.png ; $G = \operatorname{GL} ( N ,\bf C )$ ; confidence 1.000 |
109. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120060/e12006016.png ; $A \in T _ { X } M$ ; confidence 0.620 | 109. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120060/e12006016.png ; $A \in T _ { X } M$ ; confidence 0.620 | ||
| Line 224: | Line 224: | ||
112. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200191.png ; $\alpha _ { i } \in \Pi ^ { im }$ ; confidence 0.619 | 112. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200191.png ; $\alpha _ { i } \in \Pi ^ { im }$ ; confidence 0.619 | ||
| − | 113. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120220/c1202207.png ; $: ( X , * ) \rightarrow ( X , * )$ ; confidence | + | 113. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120220/c1202207.png ; $\operatorname{id}: ( X , * ) \rightarrow ( X , * )$ ; confidence 1.000 |
114. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120040/l12004064.png ; $f _ { i + 1 } ^ { n } = a u _ { i + 1 } ^ { n }$ ; confidence 0.619 | 114. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120040/l12004064.png ; $f _ { i + 1 } ^ { n } = a u _ { i + 1 } ^ { n }$ ; confidence 0.619 | ||
| Line 230: | Line 230: | ||
115. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120020/e12002071.png ; $\pi _ { n } ( X , Y )$ ; confidence 0.619 | 115. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120020/e12002071.png ; $\pi _ { n } ( X , Y )$ ; confidence 0.619 | ||
| − | 116. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180157.png ; $g ^ { - 1 } \in S ^ { 2 } \ | + | 116. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180157.png ; $g ^ { - 1 } \in \operatorname{S} ^ { 2 } \cal E *$ ; confidence 0.619 |
| − | 117. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120130/m12013029.png ; $= f ( N | + | 117. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120130/m12013029.png ; $= f ( N { * } ) + f ^ { \prime } ( N { * } ) n + \frac { f ^ { \prime \prime } ( N { * } ) } { 2 } n ^ { 2 } + \ldots,$ ; confidence 1.000 |
| − | 118. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130060/k13006013.png ; $\left( \begin{array} { c } { | + | 118. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130060/k13006013.png ; $\left( \begin{array} { c } { a _ { k } } \\ { k } \end{array} \right)$ ; confidence 1.000 |
| − | 119. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130250/b13025046.png ; $C ^ { \prime } C A$ ; confidence | + | 119. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130250/b13025046.png ; $C ^ { \prime} \small C A$ ; confidence 1.000 |
| − | 120. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120190/m1201903.png ; $f \in L _ { 2 } ( R _ { + } ; x ^ { - 1 } )$ ; confidence | + | 120. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120190/m1201903.png ; $f \in L _ { 2 } ( {\bf R} _ { + } ; x ^ { - 1 } )$ ; confidence 1.000 |
121. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130020/h13002050.png ; $A = \{ 0 , \dots , q - 1 \}$ ; confidence 0.619 | 121. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130020/h13002050.png ; $A = \{ 0 , \dots , q - 1 \}$ ; confidence 0.619 | ||
| − | 122. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c12008069.png ; $= \sum _ { i = 0 } ^ { m } D _ { i , m - i } \Lambda ^ { i } M ^ { m - i } , D _ { i j } \in C ^ { n \times n }$ ; confidence 0.619 | + | 122. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c12008069.png ; $= \sum _ { i = 0 } ^ { m } D _ { i , m - i } \Lambda ^ { i } M ^ { m - i } , D _ { i j } \in C ^ { n \times n },$ ; confidence 0.619 |
123. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j130040133.png ; $P ( i , i \sqrt { 2 } ) = ( - \sqrt { 2 } ) ^ { \operatorname { com } ( L ) - 1 } ( - 1 ) ^ { \operatorname { Arf } ( L ) }$ ; confidence 0.618 | 123. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j130040133.png ; $P ( i , i \sqrt { 2 } ) = ( - \sqrt { 2 } ) ^ { \operatorname { com } ( L ) - 1 } ( - 1 ) ^ { \operatorname { Arf } ( L ) }$ ; confidence 0.618 | ||
| Line 252: | Line 252: | ||
126. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031920/d03192046.png ; $\alpha _ { i } = 1$ ; confidence 0.618 | 126. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031920/d03192046.png ; $\alpha _ { i } = 1$ ; confidence 0.618 | ||
| − | 127. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130010/s13001030.png ; $ | + | 127. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130010/s13001030.png ; $|.| _ { \infty }$ ; confidence 1.000 |
128. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080110.png ; $F ^ { SW } = \tilde { F }$ ; confidence 0.618 | 128. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080110.png ; $F ^ { SW } = \tilde { F }$ ; confidence 0.618 | ||
| − | 129. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043370/g0433704.png ; $h \rightarrow D f ( | + | 129. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043370/g0433704.png ; $h \rightarrow D f ( x_0 , h ),$ ; confidence 1.000 |
130. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180182.png ; $\tau _ { 2 } \Theta = - \Theta$ ; confidence 0.618 | 130. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180182.png ; $\tau _ { 2 } \Theta = - \Theta$ ; confidence 0.618 | ||
| Line 262: | Line 262: | ||
131. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c130070151.png ; $u , v \in k ( C )$ ; confidence 0.618 | 131. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c130070151.png ; $u , v \in k ( C )$ ; confidence 0.618 | ||
| − | 132. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130260/a13026012.png ; $\operatorname { lcm } ( 1 , \dots , n ) > 3 ^ { | + | 132. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130260/a13026012.png ; $\operatorname { lcm } ( 1 , \dots , n ) > 3 ^ { n }$ ; confidence 1.000 |
133. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230119.png ; $\Delta = \gamma d x _ { 1 } \wedge \ldots \wedge d x _ { n }$ ; confidence 0.618 | 133. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230119.png ; $\Delta = \gamma d x _ { 1 } \wedge \ldots \wedge d x _ { n }$ ; confidence 0.618 | ||
| − | 134. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120230/m12023071.png ; $H = R ^ { | + | 134. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120230/m12023071.png ; $H = {\bf R} ^ { n }$ ; confidence 1.000 |
| − | 135. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130070/z13007055.png ; $GL _ { n } ( Q A )$ ; confidence | + | 135. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130070/z13007055.png ; $\operatorname{GL} _ { n } ( {\bf Q} A )$ ; confidence 1.000 |
| − | 136. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120130/p12013016.png ; $a _ { | + | 136. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120130/p12013016.png ; $a _ { n } = 1$ ; confidence 1.000 |
| − | 137. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g12004093.png ; $WF _ { s } ( P ( x , D ) u ) \cap \Gamma = \emptyset$ ; confidence | + | 137. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g12004093.png ; $\operatorname{WF} _ { s } ( P ( x , D ) u ) \cap \Gamma = \emptyset$ ; confidence 1.000 |
| − | 138. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200171.png ; $A = \frac { 1 } { 6 n 16 ^ { | + | 138. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200171.png ; $A = \frac { 1 } { 6 n 16 ^ { n } } ( \frac { 1 + \rho } { 2 } ) ^ { m } ( \frac { 1 - \rho } { 2 } ) ^ { 2 n + k } | \operatorname { Re } \sum _ { j = 1 } ^ { n } b _ { j } |$ ; confidence 1.000 |
| − | 139. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c120210128.png ; $\Delta _ { | + | 139. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c120210128.png ; $\Delta _ { n } ^ { * } ( \theta )$ ; confidence 1.000 |
| − | 140. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120270/a12027036.png ; $\ | + | 140. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120270/a12027036.png ; $\zeta_N ( s )$ ; confidence 1.000 |
| − | 141. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130210/t13021048.png ; $ | + | 141. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130210/t13021048.png ; $a _ { N / 2 - k}$ ; confidence 1.000 |
| − | 142. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120020/h120020124.png ; $\phi \in VMO$ ; confidence | + | 142. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120020/h120020124.png ; $\phi \in \operatorname{VMO}$ ; confidence 1.000 |
| − | 143. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120530/b12053016.png ; $ | + | 143. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120530/b12053016.png ; $L ^ { \times }$ ; confidence 1.000 |
| − | 144. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m13014060.png ; $( B )$ ; confidence | + | 144. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m13014060.png ; $\operatorname{Aut}( B )$ ; confidence 1.000 |
| − | 145. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130070/z13007027.png ; $Z G = Z H$ ; confidence | + | 145. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130070/z13007027.png ; ${\bf Z} G = {\bf Z} H$ ; confidence 1.000 |
| − | 146. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130060/c13006021.png ; $ | + | 146. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130060/c13006021.png ; $\bf Z$ ; confidence 1.000 |
147. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130020/s1300203.png ; $\pi : U M \rightarrow M$ ; confidence 0.617 | 147. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130020/s1300203.png ; $\pi : U M \rightarrow M$ ; confidence 0.617 | ||
| Line 296: | Line 296: | ||
148. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047560/h04756024.png ; $U ^ { \prime }$ ; confidence 0.617 | 148. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047560/h04756024.png ; $U ^ { \prime }$ ; confidence 0.617 | ||
| − | 149. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a1201503.png ; $Ad : G \rightarrow GL ( g )$ ; confidence | + | 149. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a1201503.png ; $\operatorname{Ad} : G \rightarrow \operatorname{GL} (\frak g )$ ; confidence 1.000 |
| − | 150. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120300/b12030042.png ; $\psi = \psi ( y ; \eta ) \ | + | 150. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120300/b12030042.png ; $\psi = \psi ( y ; \eta ) \not\equiv 0$ ; confidence 1.000 |
151. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130100/w13010044.png ; $t ^ { 1 / d }$ ; confidence 0.617 | 151. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130100/w13010044.png ; $t ^ { 1 / d }$ ; confidence 0.617 | ||
| − | 152. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130070/k13007018.png ; $| | + | 152. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130070/k13007018.png ; $| { k } | > 1$ ; confidence 1.000 |
153. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082320/r08232069.png ; $c \in E$ ; confidence 0.617 | 153. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082320/r08232069.png ; $c \in E$ ; confidence 0.617 | ||
| Line 312: | Line 312: | ||
156. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030020/d03002092.png ; $D _ { Y }$ ; confidence 0.617 | 156. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030020/d03002092.png ; $D _ { Y }$ ; confidence 0.617 | ||
| − | 157. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f13029066.png ; $f _ { L } ^ { \leftarrow } ( b ) = b \circ f$ ; confidence 0.617 | + | 157. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f13029066.png ; $f _ { L } ^ { \leftarrow } ( b ) = b \circ f.$ ; confidence 0.617 |
158. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130090/f13009066.png ; $R _ { l } ( p ; k , n )$ ; confidence 0.617 | 158. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130090/f13009066.png ; $R _ { l } ( p ; k , n )$ ; confidence 0.617 | ||
| Line 318: | Line 318: | ||
159. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120040/l12004029.png ; $f ( u ) = a u$ ; confidence 0.617 | 159. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120040/l12004029.png ; $f ( u ) = a u$ ; confidence 0.617 | ||
| − | 160. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055070/k0550708.png ; $H ^ { p , q } ( M ) \cong H ^ { q , p } ( M )$ ; confidence 0.617 | + | 160. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055070/k0550708.png ; $H ^ { p , q } ( M ) \cong H ^ { q , p } ( M ),$ ; confidence 0.617 |
161. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130090/a1300904.png ; $k \leq d$ ; confidence 0.617 | 161. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130090/a1300904.png ; $k \leq d$ ; confidence 0.617 | ||
| Line 326: | Line 326: | ||
163. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120130/b12013029.png ; $C _ { C } ^ { \infty } ( G )$ ; confidence 0.616 | 163. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120130/b12013029.png ; $C _ { C } ^ { \infty } ( G )$ ; confidence 0.616 | ||
| − | 164. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120020/s1200205.png ; $L ( ; t ) = h ( ; t ) ^ { * } f ( . )$ ; confidence | + | 164. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120020/s1200205.png ; $L (. ; t ) = h (. ; t ) ^ { * } f ( . )$ ; confidence 1.000 |
| − | 165. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120030/q12003025.png ; $U _ { q } ( \mathfrak { g } )$ ; confidence | + | 165. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120030/q12003025.png ; ${\cal U} _ { q } ( \mathfrak { g } )$ ; confidence 1.000 |
| − | 166. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120080/k12008035.png ; $K _ { p } ( g \circ \lambda ) = K _ { \lambda | + | 166. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120080/k12008035.png ; $K _ { p } ( g \circ \lambda ) = K _ { \lambda ( p ) } ( g ) \circ \lambda$ ; confidence 1.000 |
167. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120080/i12008043.png ; $T > T _ { C }$ ; confidence 0.616 | 167. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120080/i12008043.png ; $T > T _ { C }$ ; confidence 0.616 | ||
| Line 336: | Line 336: | ||
168. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010158.png ; $T ^ { n }$ ; confidence 0.616 | 168. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010158.png ; $T ^ { n }$ ; confidence 0.616 | ||
| − | 169. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030250/d03025016.png ; $u _ { n | + | 169. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030250/d03025016.png ; $u _ { n + 1 - k}$ ; confidence 1.000 |
| − | 170. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120040/s120040125.png ; $\ | + | 170. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120040/s120040125.png ; $\pi_T$ ; confidence 1.000 |
171. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130110/v13011041.png ; $( m l + U t , \pm b / 2 )$ ; confidence 0.616 | 171. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130110/v13011041.png ; $( m l + U t , \pm b / 2 )$ ; confidence 0.616 | ||
| − | 172. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032030.png ; $\lambda \leq 0$ ; confidence | + | 172. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032030.png ; $\operatorname{Re} \lambda \leq 0$ ; confidence 1.000 |
| − | 173. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290193.png ; $R _ { M }$ ; confidence | + | 173. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290193.png ; $R _ {\frak M }$ ; confidence 1.000 |
174. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130490/s13049041.png ; $k = 0 , \ldots , r ( P ) - 1$ ; confidence 0.616 | 174. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130490/s13049041.png ; $k = 0 , \ldots , r ( P ) - 1$ ; confidence 0.616 | ||
| Line 350: | Line 350: | ||
175. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240446.png ; $j = 1 , \ldots , p$ ; confidence 0.616 | 175. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240446.png ; $j = 1 , \ldots , p$ ; confidence 0.616 | ||
| − | 176. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010820/a01082068.png ; $ | + | 176. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010820/a01082068.png ; $\frak G$ ; confidence 1.000 |
| − | 177. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120050/g12005053.png ; $a , b \in R$ ; confidence | + | 177. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120050/g12005053.png ; $a , b \in \bf R$ ; confidence 1.000 |
| − | 178. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130280/a1302804.png ; $ | + | 178. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130280/a1302804.png ; $a_0 , a _ { 1 } , \dots$ ; confidence 1.000 |
| − | 179. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110700/a1107003.png ; $ | + | 179. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110700/a1107003.png ; $\bf K$ ; confidence 1.000 |
180. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120130/m1201307.png ; $N = 0$ ; confidence 0.615 | 180. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120130/m1201307.png ; $N = 0$ ; confidence 0.615 | ||
| − | 181. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130650/s13065026.png ; $ | + | 181. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130650/s13065026.png ; $ { c } _ { \mu } > - \infty$ ; confidence 1.000 |
| − | 182. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022110/c02211041.png ; $X ^ { 2 } ( \tilde { \theta } _ { | + | 182. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022110/c02211041.png ; $X ^ { 2 } ( \tilde { \theta } _ { n } ) = \operatorname { min } _ { \theta \in \Theta } X ^ { 2 } ( \theta ).$ ; confidence 1.000 |
183. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130080/o1300802.png ; $\square _ { m } u = ( - \frac { d ^ { 2 } } { d x ^ { 2 } } + q _ { m } ( x ) ) u$ ; confidence 0.615 | 183. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130080/o1300802.png ; $\square _ { m } u = ( - \frac { d ^ { 2 } } { d x ^ { 2 } } + q _ { m } ( x ) ) u$ ; confidence 0.615 | ||
| Line 368: | Line 368: | ||
184. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040049.png ; $\xi = G \times ^ { \varrho } C$ ; confidence 0.615 | 184. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040049.png ; $\xi = G \times ^ { \varrho } C$ ; confidence 0.615 | ||
| − | 185. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120270/a12027068.png ; $h _ { p } = ( 2 , d ) _ { P } \cdot W _ { P } ( \rho ) / W _ { P } ( \operatorname { det } _ { \rho } )$ ; confidence 0.615 | + | 185. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120270/a12027068.png ; $h _ { p } = ( 2 , d ) _ { P } \cdot W _ { P } ( \rho ) / W _ { P } ( \operatorname { det } _ { \rho } ),$ ; confidence 0.615 |
186. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040236.png ; $K ( x ) \approx L ( x ) = \{ \kappa _ { j } ( x ) \approx \lambda _ { j } ( x ) : j \in J \}$ ; confidence 0.615 | 186. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040236.png ; $K ( x ) \approx L ( x ) = \{ \kappa _ { j } ( x ) \approx \lambda _ { j } ( x ) : j \in J \}$ ; confidence 0.615 | ||
| − | 187. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240450.png ; $H _ { j }$ ; confidence | + | 187. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240450.png ; ${\cal H} _ { j }$ ; confidence 1.000 |
| − | 188. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046980/h04698022.png ; $ | + | 188. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046980/h04698022.png ; $Q_\lambda$ ; confidence 1.000 |
| − | 189. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a120160154.png ; $ | + | 189. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a120160154.png ; $y_{it}$ ; confidence 1.000 |
190. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120190/f120190100.png ; $C _ { G } ( x ) \leq N$ ; confidence 0.615 | 190. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120190/f120190100.png ; $C _ { G } ( x ) \leq N$ ; confidence 0.615 | ||
| − | 191. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120240/d12024082.png ; $ | + | 191. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120240/d12024082.png ; ${\frak sl} ( n )$ ; confidence 1.000 |
192. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130070/p13007096.png ; $M ( G ( z , w ) ) = ( 2 \pi ) ^ { n } \delta _ { w }$ ; confidence 0.615 | 192. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130070/p13007096.png ; $M ( G ( z , w ) ) = ( 2 \pi ) ^ { n } \delta _ { w }$ ; confidence 0.615 | ||
| Line 390: | Line 390: | ||
195. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130090/p13009039.png ; $\mu _ { x } ^ { \Omega } = P _ { \Omega } ( x , \xi ) d \sigma ( \xi )$ ; confidence 0.615 | 195. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130090/p13009039.png ; $\mu _ { x } ^ { \Omega } = P _ { \Omega } ( x , \xi ) d \sigma ( \xi )$ ; confidence 0.615 | ||
| − | 196. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007074.png ; $\frac { n ^ { \prime } } { n } < 1 + C \frac { ( \operatorname { log } \operatorname { log } n ) ^ { 2 } } { \operatorname { log } n } , C = \text { const } > 0$ ; confidence 0.614 | + | 196. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007074.png ; $\frac { n ^ { \prime } } { n } < 1 + C \frac { ( \operatorname { log } \operatorname { log } n ) ^ { 2 } } { \operatorname { log } n } , C = \text { const } > 0,$ ; confidence 0.614 |
197. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130090/c1300907.png ; $T _ { N + 1 } / 2 ^ { N }$ ; confidence 0.614 | 197. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130090/c1300907.png ; $T _ { N + 1 } / 2 ^ { N }$ ; confidence 0.614 | ||
| Line 398: | Line 398: | ||
199. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s13064014.png ; $\operatorname { lim } _ { n \rightarrow \infty } \frac { \operatorname { det } T _ { n } ( \alpha ) } { G ( \alpha ) ^ { N } } = E ( \alpha )$ ; confidence 0.614 | 199. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s13064014.png ; $\operatorname { lim } _ { n \rightarrow \infty } \frac { \operatorname { det } T _ { n } ( \alpha ) } { G ( \alpha ) ^ { N } } = E ( \alpha )$ ; confidence 0.614 | ||
| − | 200. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010106.png ; $G _ { 2 } / \operatorname { Sp } ( 1 ) , \quad F _ { 4 } / \operatorname { Sp } ( 3 ) , E _ { 6 } / SU ( 6 ) , \quad E _ { 7 } / \operatorname { Spin } ( 12 ) , \quad E _ { 8 } / E _ { 7 }$ ; confidence 0.614 | + | 200. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010106.png ; $G _ { 2 } / \operatorname { Sp } ( 1 ) , \quad F _ { 4 } / \operatorname { Sp } ( 3 ) , E _ { 6 } / SU ( 6 ) , \quad E _ { 7 } / \operatorname { Spin } ( 12 ) , \quad E _ { 8 } / E _ { 7 }.$ ; confidence 0.614 |
201. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200199.png ; $S _ { \Lambda }$ ; confidence 0.614 | 201. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200199.png ; $S _ { \Lambda }$ ; confidence 0.614 | ||
| − | 202. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080202.png ; $\kappa \partial _ { S } F + H _ { S } ( \frac { \delta F } { \delta u } , u , t ) = 0$ ; confidence 0.614 | + | 202. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080202.png ; $\kappa \partial _ { S } F + H _ { S } ( \frac { \delta F } { \delta u } , u , t ) = 0.$ ; confidence 0.614 |
| − | 203. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020033.png ; $\hat { \mathfrak { g } } = \mathfrak { g } ( A )$ ; confidence | + | 203. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020033.png ; $\hat { \mathfrak { g } } = \hat{\mathfrak { g } }( A )$ ; confidence 1.000 |
| − | 204. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t12005068.png ; $J ^ { | + | 204. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t12005068.png ; $J ^ { r } ( V , W )$ ; confidence 1.000 |
205. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130110/w13011033.png ; $f ( T ^ { n } x ) g ( S ^ { n } y ) e ^ { 2 \pi i n \varepsilon }$ ; confidence 0.614 | 205. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130110/w13011033.png ; $f ( T ^ { n } x ) g ( S ^ { n } y ) e ^ { 2 \pi i n \varepsilon }$ ; confidence 0.614 | ||
| − | 206. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130050/f13005013.png ; $m | + | 206. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130050/f13005013.png ; $m \geq 5$ ; confidence 1.000 |
| − | 207. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030250/d0302507.png ; $y ( x _ { i } ) = c _ { i } , \quad i = 1 , \dots , n ; \quad x _ { i } \in [ a , b ]$ ; confidence 0.614 | + | 207. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030250/d0302507.png ; $y ( x _ { i } ) = c _ { i } , \quad i = 1 , \dots , n ; \quad x _ { i } \in [ a , b ].$ ; confidence 0.614 |
| − | 208. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120010/h12001015.png ; $J _ { f } ^ { | + | 208. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120010/h12001015.png ; $J _ { f } ^ { r }$ ; confidence 1.000 |
209. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017090.png ; $a b = b a$ ; confidence 0.614 | 209. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017090.png ; $a b = b a$ ; confidence 0.614 | ||
| − | 210. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130490/s13049039.png ; $\frac { | \nabla ( A ) | } { | N _ { k } + 1 | } \geq \frac { | A | } { | N _ { k } | }$ ; confidence | + | 210. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130490/s13049039.png ; $\frac { | \nabla ( {\cal A} ) | } { | N _ { k } + 1 | } \geq \frac { | {\cal A} | } { | N _ { k } | }$ ; confidence 1.000 |
211. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120070/t12007027.png ; $\frac { 1 } { q } + a _ { 0 } + a _ { 1 } q + \alpha _ { 2 } q ^ { 2 } + \ldots , \quad q = \operatorname { exp } ( 2 \pi i z )$ ; confidence 0.614 | 211. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120070/t12007027.png ; $\frac { 1 } { q } + a _ { 0 } + a _ { 1 } q + \alpha _ { 2 } q ^ { 2 } + \ldots , \quad q = \operatorname { exp } ( 2 \pi i z )$ ; confidence 0.614 | ||
| − | 212. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120080/q12008042.png ; $q = \operatorname { inf } \{ | + | 212. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120080/q12008042.png ; $q = \operatorname { inf } \{ { k } : \sigma _ { k } \geq 1 \}$ ; confidence 1.000 |
| − | 213. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130050/o13005096.png ; $z \in D$ ; confidence | + | 213. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130050/o13005096.png ; $z \in \bf D$ ; confidence 1.000 |
214. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900186.png ; $T _ { n } ( \zeta )$ ; confidence 0.613 | 214. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900186.png ; $T _ { n } ( \zeta )$ ; confidence 0.613 | ||
| − | 215. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006061.png ; $A _ { | + | 215. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006061.png ; $A _ { R }$ ; confidence 1.000 |
| − | 216. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130050/e13005036.png ; $| | + | 216. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130050/e13005036.png ; $| u_{ tt } |$ ; confidence 1.000 |
| − | 217. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120130/k12013011.png ; $E _ { 2 | + | 217. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120130/k12013011.png ; $E _ { 2 ^{i-1}(n+1)} ^ { i } $ ; confidence 1.000 |
| − | 218. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120060/e12006015.png ; $Y \ | + | 218. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120060/e12006015.png ; $Y \times_M TM \rightarrow T Y$ ; confidence 1.000 |
219. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050248.png ; $Z _ { G } ( - q ^ { - 1 } ) = 0$ ; confidence 0.613 | 219. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050248.png ; $Z _ { G } ( - q ^ { - 1 } ) = 0$ ; confidence 0.613 | ||
| − | 220. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060050/l06005078.png ; $\square ^ { 1 } | + | 220. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060050/l06005078.png ; $\square ^ { 1 } S_n$ ; confidence 1.000 |
| − | 221. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011076.png ; $\sigma = \left( \begin{array} { c c } { 0 } & { Id ( E ^ { * } ) } \\ { - Id ( E ) } & { 0 } \end{array} \right)$ ; confidence | + | 221. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011076.png ; $\sigma = \left( \begin{array} { c c } { 0 } & { \operatorname{Id} ( E ^ { * } ) } \\ { - \operatorname{Id} ( E ) } & { 0 } \end{array} \right),$ ; confidence 1.000 |
| − | 222. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120180/s12018053.png ; $S ^ { \perp } = \{ x \in E : \ | + | 222. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120180/s12018053.png ; $S ^ { \perp } = \{ x \in E : \langle x , s \rangle = 0 \text { for all } s \in S \}$ ; confidence 1.000 |
223. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130100/t13010037.png ; $\operatorname { Ext } _ { H } ^ { 1 } ( T , - )$ ; confidence 0.613 | 223. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130100/t13010037.png ; $\operatorname { Ext } _ { H } ^ { 1 } ( T , - )$ ; confidence 0.613 | ||
| Line 450: | Line 450: | ||
225. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130130/d13013095.png ; $A ^ { - }$ ; confidence 0.613 | 225. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130130/d13013095.png ; $A ^ { - }$ ; confidence 0.613 | ||
| − | 226. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023037.png ; $r \ | + | 226. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023037.png ; $r \ll n$ ; confidence 1.000 |
| − | 227. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840184.png ; $A | _ { E _ { \lambda } ^ { \prime } }$ ; confidence | + | 227. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840184.png ; $A | _ {\cal E _ { \lambda } ^ { \prime } }$ ; confidence 1.000 |
228. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110740/b11074040.png ; $r = 0$ ; confidence 0.613 | 228. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110740/b11074040.png ; $r = 0$ ; confidence 0.613 | ||
| − | 229. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b12022075.png ; $\Xi = R ^ { N }$ ; confidence | + | 229. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b12022075.png ; $\Xi = {\bf R} ^ { N }$ ; confidence 1.000 |
230. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s13051077.png ; $( u _ { j } , v _ { j } ) \in E _ { j }$ ; confidence 0.613 | 230. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s13051077.png ; $( u _ { j } , v _ { j } ) \in E _ { j }$ ; confidence 0.613 | ||
| − | 231. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f120110213.png ; $G ( \zeta ) e ^ { - \varepsilon | \operatorname { lm } \zeta | - H _ { K } | + | 231. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f120110213.png ; $G ( \zeta ) e ^ { - \varepsilon | \operatorname { lm } \zeta | - H _ { K } ( \operatorname { lm } \zeta ) }$ ; confidence 1.000 |
| − | 232. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290220.png ; $R ^ { \prime } ( I ) = \oplus _ { n | + | 232. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290220.png ; $R ^ { \prime } ( I ) = \oplus _ { n \in \bf Z} I^ { n }$ ; confidence 1.000 |
| − | 233. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v09690032.png ; $A _ { P }$ ; confidence | + | 233. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v09690032.png ; $A _ { P^\prime }$ ; confidence 1.000 |
| − | 234. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b1201509.png ; $\Omega = \{ 0,1 \} ^ { | + | 234. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b1201509.png ; $\Omega = \{ 0,1 \} ^ { n }$ ; confidence 1.000 |
| − | 235. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038470/f03847024.png ; $\Omega = R ^ { | + | 235. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038470/f03847024.png ; $\Omega = {\bf R} ^ { n }$ ; confidence 1.000 |
| − | 236. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012010/a01201026.png ; $T ^ { * } | + | 236. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012010/a01201026.png ; $T ^ { * } M$ ; confidence 1.000 |
| − | 237. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130100/p130100128.png ; $\Gamma \subset C ^ { 2 }$ ; confidence | + | 237. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130100/p130100128.png ; $\Gamma \subset {\bf C} ^ { 2 }$ ; confidence 1.000 |
| − | 238. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120320/b12032072.png ; $a _ { n | + | 238. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120320/b12032072.png ; $a _ { n + 1} = F ( 1 , a _ { n } )$ ; confidence 1.000 |
| − | 239. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230143.png ; $A ( \sigma ) = \int _ { M } L \circ \sigma ^ { k } \Delta = \int _ { M } \sigma ^ { k ^ { * } } ( L \Delta )$ ; confidence | + | 239. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230143.png ; ${\cal A} ( \sigma ) = \int _ { M } L \circ \sigma ^ { k } \Delta = \int _ { M } \sigma ^ { k ^ { * } } ( L \Delta ).$ ; confidence 1.000 |
| − | 240. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240254.png ; $ | + | 240. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240254.png ; $\alpha$ ; confidence 1.000 |
| − | 241. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120040/f12004029.png ; $f ^ { \Delta | + | 241. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120040/f12004029.png ; $f ^ { \Delta ( \varphi ) } : W \rightarrow \overline {\bf R }$ ; confidence 1.000 |
| − | 242. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120030/c12003016.png ; $\| . | + | 242. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120030/c12003016.png ; $\| .\|$ ; confidence 1.000 |
| − | 243. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130060/e13006050.png ; $\ | + | 243. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130060/e13006050.png ; $\hat { X } = X \cup \{ \omega \}$ ; confidence 1.000 |
| − | 244. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120020/n12002096.png ; $P ( m _ { 0 } , F )$ ; confidence | + | 244. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120020/n12002096.png ; $\operatorname{P} ( m _ { 0 } , F )$ ; confidence 1.000 |
| − | 245. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120010/e120010129.png ; $S = M \circ d$ ; confidence | + | 245. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120010/e120010129.png ; ${\cal S = M} \circ d$ ; confidence 1.000 |
246. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130020/a13002018.png ; $x \in A$ ; confidence 0.612 | 246. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130020/a13002018.png ; $x \in A$ ; confidence 0.612 | ||
| − | 247. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120020/h120020112.png ; $\rho _ { | + | 247. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120020/h120020112.png ; $\rho _ { n } ( \phi )$ ; confidence 1.000 |
| − | 248. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f12023061.png ; $[ K , L ] \ | + | 248. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f12023061.png ; $[ K , L ] \bigwedge = i _ { K } L - ( - 1 ) ^ { k \text{l}} i _ { L } K$ ; confidence 1.000 |
| − | 249. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t13005030.png ; $\Lambda ( X ) : = X \otimes _ { C } \Lambda$ ; confidence | + | 249. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t13005030.png ; $\Lambda ( {\cal X} ) : = {\cal X} \otimes _ { {\bf C} } \Lambda$ ; confidence 1.000 |
250. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h12012010.png ; $f \nabla = 1 _ { X }$ ; confidence 0.611 | 250. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h12012010.png ; $f \nabla = 1 _ { X }$ ; confidence 0.611 | ||
| − | 251. https://www.encyclopediaofmath.org/legacyimages/r/r120/r120020/r1200206.png ; $\tau = ( \tau _ { 1 } , \ldots , \tau _ { | + | 251. https://www.encyclopediaofmath.org/legacyimages/r/r120/r120020/r1200206.png ; $\tau = ( \tau _ { 1 } , \ldots , \tau _ { n } )$ ; confidence 1.000 |
| − | 252. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130190/m1301903.png ; $m _ { k } = \int _ { | + | 252. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130190/m1301903.png ; $m _ { k } = \int _ { I } x ^ { k } d \psi ( x )$ ; confidence 1.000 |
| − | 253. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110020/b11002041.png ; $B \in M _ { n } ( R )$ ; confidence | + | 253. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110020/b11002041.png ; $B \in {\cal M} _ { n } ( {\bf R} )$ ; confidence 1.000 |
| − | 254. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m130260162.png ; $b ^ { | + | 254. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m130260162.png ; $b ^ { n } = 0$ ; confidence 1.000 |
| − | 255. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120030/m12003083.png ; $\ | + | 255. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120030/m12003083.png ; $\psi_b$ ; confidence 1.000 |
| − | 256. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017029.png ; $\operatorname { ker } \delta _ { A , B } \nsubseteq \operatorname { ker } \delta _ { A | + | 256. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017029.png ; $\operatorname { ker } \delta _ { A , B } \nsubseteq \operatorname { ker } \delta _ { A ^ { * } , B ^ { * }}$ ; confidence 1.000 |
| − | 257. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130070/j13007049.png ; $\frac { 1 - | F ( z _ { n } ) | } { 1 - | z _ { n } | } \rightarrow d ( \omega ) < \infty$ ; confidence 0.611 | + | 257. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130070/j13007049.png ; $\frac { 1 - | F ( z _ { n } ) | } { 1 - | z _ { n } | } \rightarrow d ( \omega ) < \infty.$ ; confidence 0.611 |
| − | 258. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120040/b12004018.png ; $| x _ { | + | 258. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120040/b12004018.png ; $\| x _ { n } \| \rightarrow 0$ ; confidence 1.000 |
| − | 259. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120070/e12007031.png ; $f | _ { k } ^ { \ | + | 259. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120070/e12007031.png ; $f | _ { k } ^ { \text{V} } M = f , \forall M \in \Gamma$ ; confidence 1.000 |
260. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130190/b13019024.png ; $y ( a _ { 1 } / q _ { 1 } )$ ; confidence 0.611 | 260. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130190/b13019024.png ; $y ( a _ { 1 } / q _ { 1 } )$ ; confidence 0.611 | ||
| − | 261. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120080/f12008097.png ; $\| \square ^ { t } M _ { \varphi } \| _ { cb } : = \operatorname { sup } \| \square ^ { t } M _ { \varphi } \otimes 1 _ { n } \|$ ; confidence | + | 261. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120080/f12008097.png ; $\| \square ^ { t } M _ { \varphi } \| _ { \text{cb} } : = \operatorname { sup } \| \square ^ { t } M _ { \varphi } \otimes 1 _ { n } \|$ ; confidence 1.000 |
| − | 262. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120200/a12020089.png ; $T$ ; confidence 0.611 | + | 262. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120200/a12020089.png ; $T$ ; confidence 0.611 NOTE: there are three dots on the edges |
263. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130110/m130110127.png ; $\frac { D } { D t } = \frac { \partial } { \partial t } + v _ { i } ( . ) , _ { i } = \frac { \partial } { \partial t } + v . \nabla$ ; confidence 0.611 | 263. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130110/m130110127.png ; $\frac { D } { D t } = \frac { \partial } { \partial t } + v _ { i } ( . ) , _ { i } = \frac { \partial } { \partial t } + v . \nabla$ ; confidence 0.611 | ||
| Line 528: | Line 528: | ||
264. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130120/h13012030.png ; $\| f ( x ) - a ( x ) \| \leq K \| x \| ^ { p }$ ; confidence 0.611 | 264. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130120/h13012030.png ; $\| f ( x ) - a ( x ) \| \leq K \| x \| ^ { p }$ ; confidence 0.611 | ||
| − | 265. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110250/b11025027.png ; $g _ { | + | 265. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110250/b11025027.png ; $g _ { n }$ ; confidence 1.000 |
266. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130140/c13014034.png ; $X = \{ 1 , \dots , n \}$ ; confidence 0.610 | 266. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130140/c13014034.png ; $X = \{ 1 , \dots , n \}$ ; confidence 0.610 | ||
| Line 534: | Line 534: | ||
267. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t1300507.png ; $e _ { i } e _ { j } + e _ { j } e _ { i } = 0$ ; confidence 0.610 | 267. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t1300507.png ; $e _ { i } e _ { j } + e _ { j } e _ { i } = 0$ ; confidence 0.610 | ||
| − | 268. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b120400130.png ; $w ( p - \delta ) + \delta \in C$ ; confidence | + | 268. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b120400130.png ; $w ( p - \delta ) + \delta \in C^-$ ; confidence 1.000 |
| − | 269. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s120230139.png ; $S _ { i } = X _ { i } | + | 269. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s120230139.png ; $S _ { i } = X _ { i } X_i ^ { \prime }$ ; confidence 1.000 |
| − | 270. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b120150167.png ; $h : \{ 1 , \dots , n \} \rightarrow R$ ; confidence | + | 270. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b120150167.png ; $h : \{ 1 , \dots , n \} \rightarrow \bf R$ ; confidence 1.000 |
| − | 271. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130190/m13019050.png ; $| \kappa _ { | + | 271. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130190/m13019050.png ; $| \kappa _ { n } | ^ { 2 } = {\cal M} _ { n - 1 } / {\cal M} _ { n }$ ; confidence 0.610 |
272. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120060/d1200607.png ; $\psi [ 1 ]$ ; confidence 0.610 | 272. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120060/d1200607.png ; $\psi [ 1 ]$ ; confidence 0.610 | ||
| Line 548: | Line 548: | ||
274. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130110/d13011045.png ; $\gamma _ { 1 } ^ { 2 } = - 1 , \gamma _ { 2 } ^ { 2 } = \gamma _ { 3 } ^ { 2 } = \gamma _ { 4 } ^ { 2 } = 1$ ; confidence 0.610 | 274. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130110/d13011045.png ; $\gamma _ { 1 } ^ { 2 } = - 1 , \gamma _ { 2 } ^ { 2 } = \gamma _ { 3 } ^ { 2 } = \gamma _ { 4 } ^ { 2 } = 1$ ; confidence 0.610 | ||
| − | 275. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t12020071.png ; $\operatorname { max } _ { j = 1 , \ldots , n - m + 1 } | s _ { j } | \geq m ( \frac { 1 } { 2 } + \frac { m } { 8 n } + \frac { 3 m ^ { 2 } } { 64 n ^ { 2 } } )$ ; confidence 0.610 | + | 275. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t12020071.png ; $\operatorname { max } _ { j = 1 , \ldots , n - m + 1 } | s _ { j } | \geq m ( \frac { 1 } { 2 } + \frac { m } { 8 n } + \frac { 3 m ^ { 2 } } { 64 n ^ { 2 } } ).$ ; confidence 0.610 |
| − | 276. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091080/s09108025.png ; $\ | + | 276. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091080/s09108025.png ; $\alpha_r$ ; confidence 1.000 |
| − | 277. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130030/o13003024.png ; $\ | + | 277. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130030/o13003024.png ; $\tilde { P _ { 8 } }$ ; confidence 1.000 |
| − | 278. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130160/f13016012.png ; $\mu _ { R _ { P } } ( M _ { P } ) = \mu _ { Q ( R / P ) } ( M \ | + | 278. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130160/f13016012.png ; $\mu _ { R _ { P } } ( M _ { P } ) = \mu _ { Q ( R / P ) } ( M \bigotimes _ { R / P } Q ( R / P ) ).$ ; confidence 1.000 |
279. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120550/b12055060.png ; $f ^ { - 1 } ( ( - \infty , t ] )$ ; confidence 0.610 | 279. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120550/b12055060.png ; $f ^ { - 1 } ( ( - \infty , t ] )$ ; confidence 0.610 | ||
| − | 280. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130040/i13004010.png ; $\Delta | + | 280. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130040/i13004010.png ; $\Delta d_k = d_k - d_{k + 1}$ ; confidence 1.000 |
281. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840166.png ; $E _ { \lambda }$ ; confidence 0.610 | 281. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840166.png ; $E _ { \lambda }$ ; confidence 0.610 | ||
| Line 564: | Line 564: | ||
282. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011093.png ; $( M _ { T } u ) ( x ) = | \operatorname { det } T \rceil ^ { - 1 / 2 } u ( T ^ { - 1 } x )$ ; confidence 0.610 | 282. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011093.png ; $( M _ { T } u ) ( x ) = | \operatorname { det } T \rceil ^ { - 1 / 2 } u ( T ^ { - 1 } x )$ ; confidence 0.610 | ||
| − | 283. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015032.png ; $\operatorname { Ker } ( ad ) = \{ 0 \}$ ; confidence | + | 283. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015032.png ; $\operatorname { Ker } ( \operatorname{ad} ) = \{ 0 \}$ ; confidence 1.000 |
| − | 284. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130010/d1300106.png ; $\left( \begin{array} { c c c c } { h ( x _ { 1 } , y _ { 1 } ) } & { h ( x _ { 1 } , y _ { 2 } ) } & { \dots } & { h ( x _ { 1 } , y _ { n } ) } \\ { h ( x _ { 2 } , y _ { 1 } ) } & { h ( x _ { 2 } , y _ { 2 } ) } & { \dots } & { h ( x _ { 2 } , y _ { n } ) } \\ { \vdots } & { \vdots } & { \ddots } & { \vdots } \\ { h ( x _ { n } , y _ { 1 } ) } & { h ( x _ { n } , y _ { 2 } ) } & { \dots } & { h ( x _ { n } , y _ { n } ) } \end{array} \right)$ ; confidence 0.609 | + | 284. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130010/d1300106.png ; $\left( \begin{array} { c c c c } { h ( x _ { 1 } , y _ { 1 } ) } & { h ( x _ { 1 } , y _ { 2 } ) } & { \dots } & { h ( x _ { 1 } , y _ { n } ) } \\ { h ( x _ { 2 } , y _ { 1 } ) } & { h ( x _ { 2 } , y _ { 2 } ) } & { \dots } & { h ( x _ { 2 } , y _ { n } ) } \\ { \vdots } & { \vdots } & { \ddots } & { \vdots } \\ { h ( x _ { n } , y _ { 1 } ) } & { h ( x _ { n } , y _ { 2 } ) } & { \dots } & { h ( x _ { n } , y _ { n } ) } \end{array} \right);$ ; confidence 0.609 |
| − | 285. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120220/c1202203.png ; $: X \rightarrow X$ ; confidence | + | 285. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120220/c1202203.png ; $\operatorname{id}: X \rightarrow X$ ; confidence 1.000 |
286. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120110/d12011030.png ; $\{ n _ { i } \}$ ; confidence 0.609 | 286. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120110/d12011030.png ; $\{ n _ { i } \}$ ; confidence 0.609 | ||
| Line 574: | Line 574: | ||
287. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130060/c13006028.png ; $\langle \langle A \rangle \rangle$ ; confidence 0.609 | 287. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130060/c13006028.png ; $\langle \langle A \rangle \rangle$ ; confidence 0.609 | ||
| − | 288. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120070/t1200706.png ; $= 2 ^ { 46 } | + | 288. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120070/t1200706.png ; $= 2 ^ { 46 } . 3 ^ { 20 } . 5 ^ { 9 } . 7 ^ { 6 } . 11 ^ { 2 } . 13 ^ { 3 }$ ; confidence 1.000 |
289. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012038.png ; $v - A v = ( I - A ) v$ ; confidence 0.609 | 289. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012038.png ; $v - A v = ( I - A ) v$ ; confidence 0.609 | ||
| − | 290. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e12010047.png ; $S = c E \times H$ ; confidence | + | 290. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e12010047.png ; ${\bf S} = c \bf E \times H$ ; confidence 1.000 |
| − | 291. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s1306408.png ; $\operatorname { log } a \in L ^ { 1 } ( T )$ ; confidence | + | 291. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s1306408.png ; $\operatorname { log } a \in L ^ { 1 } (\bf T )$ ; confidence 1.000 |
292. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130260/b13026042.png ; $\Omega _ { 1 } \subset \Omega$ ; confidence 0.609 | 292. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130260/b13026042.png ; $\Omega _ { 1 } \subset \Omega$ ; confidence 0.609 | ||
| − | 293. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i130090170.png ; $\omega : \operatorname { Gal } ( k ( \mu _ { p } ) / k ) \rightarrow Z _ { p } ^ { \times } ( \omega ( | + | 293. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i130090170.png ; $\omega : \operatorname { Gal } ( k ( \mu _ { p } ) / k ) \rightarrow {\bf Z} _ { p } ^ { \times } ( \omega ( a ) \equiv a \operatorname { mod } p )$ ; confidence 1.000 |
294. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130020/h13002077.png ; $( \alpha _ { 1 } \cup \gamma ^ { d } , \alpha _ { 2 } , \dots , \alpha _ { q } )$ ; confidence 0.609 | 294. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130020/h13002077.png ; $( \alpha _ { 1 } \cup \gamma ^ { d } , \alpha _ { 2 } , \dots , \alpha _ { q } )$ ; confidence 0.609 | ||
| Line 592: | Line 592: | ||
296. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130180/d13018062.png ; $f \tau$ ; confidence 0.609 | 296. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130180/d13018062.png ; $f \tau$ ; confidence 0.609 | ||
| − | 297. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130340/s13034035.png ; $\ldots \subset C _ { 3 } \subset \ldots \subset C _ { 2 } \subset \ldots \subset C _ { 1 } \subset \ldots \subset C _ { 0 } = R K$ ; confidence | + | 297. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130340/s13034035.png ; $\ldots \subset C _ { 3 } \subset \ldots \subset C _ { 2 } \subset \ldots \subset C _ { 1 } \subset \ldots \subset C _ { 0 } = R \cal K$ ; confidence 1.000 |
| − | 298. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120210/w12021044.png ; $\sum _ { i = 1 } ^ { k } s _ { i } A _ { i } A _ { i } ^ { T } = ( m \sum _ { i = 1 } ^ { k } s _ { i } ) | + | 298. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120210/w12021044.png ; $\sum _ { i = 1 } ^ { k } s _ { i } A _ { i } A _ { i } ^ { T } = ( m \sum _ { i = 1 } ^ { k } s _ { i } ) I _ { m }$ ; confidence 1.000 |
299. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120060/w120060109.png ; $T _ { F R }$ ; confidence 0.609 | 299. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120060/w120060109.png ; $T _ { F R }$ ; confidence 0.609 | ||
300. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120460/b12046053.png ; $\chi _ { f } ( x y ) = 0$ ; confidence 0.609 | 300. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120460/b12046053.png ; $\chi _ { f } ( x y ) = 0$ ; confidence 0.609 | ||
Revision as of 17:46, 30 April 2020
List
1. 
; $V _ { 0 } ^ { n } = V _ { j } ^ { n } = 0$ ; confidence 0.626
2. 
; $M ^ { U } ( E ) = P ( E )\cal X$ ; confidence 1.000
3. 
; ${\bf R} _ { n } ^ { Y }$ ; confidence 1.000
4. 
; $C _ { k } = \oplus _ { w \in W ^ { ( i ) } } M ( w . \lambda )$ ; confidence 1.000
5. 
; $H ^ { 2 } ( Z [ 1 / p ] ; Z _ { p } ( n ) )$ ; confidence 0.626
6. 
; $P _ { n + 1}$ ; confidence 1.000
7. 
; $f = ( f _ { b } ) _ { b \in B }$ ; confidence 0.625
8. 
; $\rho ^ { \prime } ( \xi ) = ( \partial \rho / \partial \xi _ { 1 } , \dots , \partial \rho / \partial \xi _ { n } )$ ; confidence 0.625
9. 
; $V _ { N } ^ { m } ( x , y ) = e ^ { i m \theta } R _ { x } ^ { m } ( r ),$ ; confidence 0.625
10. 
; $N _ { \tilde{A}x } ( \tilde { B } ) \geq h ^ { N }$ ; confidence 1.000
11. 
; $\mu _ { B } ( A {\bf x} )$ ; confidence 1.000
12. 
; $( p _ { 0 } < \ldots < p _ { h } )$ ; confidence 0.625
13. 
; $1 = e _ { 1 } + \ldots + e _ { k }$ ; confidence 0.625
14. 
; $\alpha \pi$ ; confidence 0.625
15. 
; $D_{f , 2}$ ; confidence 1.000
16. 
; $\{ \varphi_+ ( k ) , \varphi_- ( k ) \}$ ; confidence 1.000
17. 
; $B \rtimes _ { \alpha } \bf Z$ ; confidence 1.000
18. 
; $= [ \sigma _ { Te } ( A , {\cal H} ) \times \sigma _ { T } ( B , {\cal H} ) ] \bigcup [ \sigma _ { T } ( A , {\cal H} ) \times \sigma _ { Te } ( B , {\cal H} ) ].$ ; confidence 1.000
19. 
; $\operatorname{Wh} ^ { * } ( \pi ) \neq \{ 0 \}$ ; confidence 1.000
20. 
; $v = w$ ; confidence 0.625
21. 
; $\lambda ( T T ^ { \prime } ) = \operatorname { diag } ( \tau _ { 1 } , \dots , \tau _ { 1 } )$ ; confidence 0.625
22. 
; $D _ { s } f ( t ) = f ( t / s )$ ; confidence 0.625
23. 
; $\overset{\rightharpoonup} { x } . \overset{\rightharpoonup} { v } < 0$ ; confidence 1.000
24. 
; $E \subset {\bf R} ^ { n }$ ; confidence 1.000
25. 
; $b _ { N - 1 } = 2 N a _ { N }$ ; confidence 0.624
26. 
; $A$ ; confidence 1.000
27. 
; $( \gamma _ { j - k } ) _ { j , k \geq 0 }$ ; confidence 0.624
28. 
; $M _ { n+ 1} / M _ { n }$ ; confidence 1.000
29. 
; $\{ m _ { n } \}$ ; confidence 1.000
30. 
; $i \neq d$ ; confidence 1.000
31. 
; $\sigma _ { \text{ess} } ( T ) = \sigma _ { \text{ess} } ( T + S ).$ ; confidence 1.000
32. 
; $N = N _ { 1 } \cup \ldots \cup N _ { n }$ ; confidence 0.624
33. 
; $R ^ { * }$ ; confidence 1.000
34. 
; $W _ { \Theta } ( z ) = I - 2 i K ^ { * } ( T - z I ) ^ { - 1 } K J,$ ; confidence 0.624
35. 
; $10_{101}$ ; confidence 1.000
36. 
; ${\cal L} _ {\bf C } ^ { p } ( G )$ ; confidence 1.000
37. 
; $| S ^ { n - 1 } |$ ; confidence 1.000
38. 
; $J ^ { * }$ ; confidence 0.624
39. 
; $\{ f _ { i _ { 1 } } , \dots , f _ { i _ { n } } \}$ ; confidence 0.624
40. 
; $\operatorname { dim } D _ { s } ^ { \perp } = 2 ^ { n } - n - 1$ ; confidence 0.624
41. 
; $z _ { 1 } ^ { m } d z _ { 1 }$ ; confidence 0.624
42. 
; $R = {\bf R} _ { \geq 0 } v \subset \overline { N E } ( X / S )$ ; confidence 1.000
43. 
; $m = 0,1 , \ldots$ ; confidence 0.623
44. 
; $c = 7$ ; confidence 0.623
45. 
; $\leq 2$ ; confidence 1.000
46. 
; $F M \rightarrow M$ ; confidence 0.623
47. 
; $F _ { m n }$ ; confidence 0.623
48. 
; $Z [ f ( t + m ) ] ( t , w ) = e ^ { 2 \pi i m w } Z [ f ] ( t , w ).$ ; confidence 1.000
49. 
; $\mu _ { n } = \sum _ { i = 1 } ^ { N } 1 _ { \{ f _ { i n } \geq 1 \} }$ ; confidence 0.623
50. 
; $| x |$ ; confidence 0.623
51. 
; $k = 1 , \dots , n$ ; confidence 0.623
52. 
; $d _ { k } = \operatorname{rd} _ { Y } M _ { k }$ ; confidence 1.000
53. 
; $H _ { k } ^ { ( m ) } > 0 , m = 0 , \pm 1 , \pm 2 , \ldots , k = 1,2 ,\dots .$ ; confidence 1.000
54. 
; $k _ { B }$ ; confidence 0.623
55. 
; $\\operatorname{Cd} \approx \frac { l } { b } , f \approx \frac { l } { U } , \operatorname{Cd} \approx \frac { f U } { d } , \operatorname{Cd} \approx \frac { 1 } { \operatorname{St} }$ ; confidence 1.000
56. 
; $\operatorname{P} ( m , F )$ ; confidence 1.000
57. 
; $E ^ { k + 1 }$ ; confidence 0.623
58. 
; $B ^ { n - k }$ ; confidence 1.000
59. 
; $m = 1 + I + J + I J$ ; confidence 0.623
60. 
; $H ^ { 1 } ( {\bf R} _ { X } )$ ; confidence 1.000
61. 
; $g = ( g _ { 1 } , \dots , g _ { N } )$ ; confidence 0.622
62. 
; $\operatorname{WFA} f$ ; confidence 1.000
63. 
; $b _ { j } ^ { l } > 0$ ; confidence 0.622
64. 
; ${\bf p}_j$ ; confidence 1.000
65. 
; $x \in {\cal D} ( p ( A ) )$ ; confidence 1.000
66. 
; $R ( \nabla ) : \otimes ^ { r } {\cal E} \rightarrow \otimes ^ {r + 2 } {\cal E}$ ; confidence 1.000
67. 
; ${\cal M} _ { s }$ ; confidence 1.000
68. 
; $F ( z ) = - \frac { 1 } { 2 \pi i } \int_\gamma \frac { \operatorname { exp } e ^ { \zeta ^ { 2 } } } { \zeta - z } d \zeta$ ; confidence 1.000
69. 
; $s ^ { 2 = 4 \lambda } ( x , y ) p q$ ; confidence 0.622
70. 
; $u = \alpha ^ { s }$ ; confidence 0.622
71. 
; $T _ { \text{B} \delta }$ ; confidence 1.000
72. 
; $Z [ e ^ { 2 \pi i m t } f ( t + n ) ] ( t , w ) = e ^ { 2 \pi i m t } e ^ { 2 \pi i n w } ( Z f ) ( t , w ).$ ; confidence 0.622
73. 
; $\bf M$ ; confidence 1.000
74. 
; $\Pi _ { 1 } ^ { 1 }$ ; confidence 0.621
75. 
; $U \rightarrow G _ { N } ( {\bf R} ^ { N } \times {\bf R} ^ { p } )$ ; confidence 1.000
76. 
; $f ( x ) = \sum _ { i = 1 } ^ { m } w _ { i } \| p _ { i } - x \| , x \in {\bf R} ^ { n },$ ; confidence 1.000
77. 
; $V _ { n , p } ( f , x ) = f ( x )$ ; confidence 1.000
78. 
; $Q _ { n } ( x )$ ; confidence 0.621
79. 
; $E ( a )$ ; confidence 0.621
80. 
; $g \times ^ { \varrho } {\bf f} \in G \times ^ { \varrho } F$ ; confidence 1.000
81. 
; $S _ { \mathfrak { g } } ^ { * }$ ; confidence 0.621
82. 
; $P : E \rightarrow \bf C$ ; confidence 1.000
83. 
; ${\cal G} _ { \alpha }$ ; confidence 1.000
84. 
; $\phi _ { t }$ ; confidence 0.621
85. 
; $\operatorname{P} \{ \operatorname { sup } W ^ { ( N ) } ( t ) > u \}$ ; confidence 1.000
86. 
; $X \otimes Y \in \otimes ^ { 2 } \cal E *$ ; confidence 1.000
87. 
; $\xi_r$ ; confidence 1.000
88. 
; $V \subseteq {\bf C A}_\alpha$ ; confidence 1.000
89. 
; ${\bf MM}_{\cal Z}$ ; confidence 1.000
90. 
; $\operatorname { ker }\delta _ { A } \subseteq \operatorname { ker } \delta _ { A } *$ ; confidence 1.000
91. 
; $\{. , e , ^{- 1} , \vee , \wedge \}$ ; confidence 1.000
92. 
; $B _ { 1 }$ ; confidence 0.620
93. 
; $r ^ { i } ( A ) * r ^ { j } ( B )$ ; confidence 0.620
94. 
; $A _ { h } , A _ { k } , A _ { m }$ ; confidence 1.000
95. 
; $K : = \int \frac { - \operatorname { ln } f ( . ) } { 1 + x ^ { 2 } } d x,$ ; confidence 1.000
96. 
; $b \in S ( m _ { 2 } , G )$ ; confidence 0.620
97. 
; $\operatorname{P} ( N _ { k } = n ) = p ^ { n } F _ { n + 1 - k } ^ { ( k ) } ( \frac { q } { p } ),$ ; confidence 1.000
98. 
; $\sigma ( z ) = e ^ { i \theta } z + a$ ; confidence 1.000
99. 
; ${\bf Z} ^ { d }$ ; confidence 1.000
100. 
; $G = \operatorname{SL} ( 2 , \bf R )$ ; confidence 1.000
101. 
; $( \lambda - a _ { i } ) ^ { n _ { i j } }$ ; confidence 0.620
102. 
; $X = 0$ ; confidence 0.620
103. 
; $x \operatorname { exp } ( x + 1 ) = 1$ ; confidence 0.620
104. 
; $\langle f , g \rangle = \int \int _ { D } f ( x , y ) \overline { g ( x , y ) } d x d y$ ; confidence 0.620
105. 
; $n \times p _ { 1 }$ ; confidence 0.620
106. 
; $F _ { i } ( \tau ) = \int _ { 0 } ^ { \infty } \frac { \sqrt { 2 \tau \operatorname { sinh } \pi \tau } } { \pi } \frac { K _ { i \tau } } { \sqrt { x } } f _ { i } ( x ) d x.$ ; confidence 0.620
107. 
; $\bf y = X \beta + e,$ ; confidence 1.000
108. 
; $G = \operatorname{GL} ( N ,\bf C )$ ; confidence 1.000
109. 
; $A \in T _ { X } M$ ; confidence 0.620
110. 
; $\hat { K } = K$ ; confidence 0.620
111. 
; $q \times p$ ; confidence 0.619
112. 
; $\alpha _ { i } \in \Pi ^ { im }$ ; confidence 0.619
113. 
; $\operatorname{id}: ( X , * ) \rightarrow ( X , * )$ ; confidence 1.000
114. 
; $f _ { i + 1 } ^ { n } = a u _ { i + 1 } ^ { n }$ ; confidence 0.619
115. 
; $\pi _ { n } ( X , Y )$ ; confidence 0.619
116. 
; $g ^ { - 1 } \in \operatorname{S} ^ { 2 } \cal E *$ ; confidence 0.619
117. 
; $= f ( N { * } ) + f ^ { \prime } ( N { * } ) n + \frac { f ^ { \prime \prime } ( N { * } ) } { 2 } n ^ { 2 } + \ldots,$ ; confidence 1.000
118. 
; $\left( \begin{array} { c } { a _ { k } } \\ { k } \end{array} \right)$ ; confidence 1.000
119. 
; $C ^ { \prime} \small C A$ ; confidence 1.000
120. 
; $f \in L _ { 2 } ( {\bf R} _ { + } ; x ^ { - 1 } )$ ; confidence 1.000
121. 
; $A = \{ 0 , \dots , q - 1 \}$ ; confidence 0.619
122. 
; $= \sum _ { i = 0 } ^ { m } D _ { i , m - i } \Lambda ^ { i } M ^ { m - i } , D _ { i j } \in C ^ { n \times n },$ ; confidence 0.619
123. 
; $P ( i , i \sqrt { 2 } ) = ( - \sqrt { 2 } ) ^ { \operatorname { com } ( L ) - 1 } ( - 1 ) ^ { \operatorname { Arf } ( L ) }$ ; confidence 0.618
124. 
; $V ^ { \sigma } ( y )$ ; confidence 0.618
125. 
; $\overline { D } \square ^ { n + 1 } \subset E ^ { n + 1 }$ ; confidence 0.618
126. 
; $\alpha _ { i } = 1$ ; confidence 0.618
127. 
; $|.| _ { \infty }$ ; confidence 1.000
128. 
; $F ^ { SW } = \tilde { F }$ ; confidence 0.618
129. 
; $h \rightarrow D f ( x_0 , h ),$ ; confidence 1.000
130. 
; $\tau _ { 2 } \Theta = - \Theta$ ; confidence 0.618
131. 
; $u , v \in k ( C )$ ; confidence 0.618
132. 
; $\operatorname { lcm } ( 1 , \dots , n ) > 3 ^ { n }$ ; confidence 1.000
133. 
; $\Delta = \gamma d x _ { 1 } \wedge \ldots \wedge d x _ { n }$ ; confidence 0.618
134. 
; $H = {\bf R} ^ { n }$ ; confidence 1.000
135. 
; $\operatorname{GL} _ { n } ( {\bf Q} A )$ ; confidence 1.000
136. 
; $a _ { n } = 1$ ; confidence 1.000
137. 
; $\operatorname{WF} _ { s } ( P ( x , D ) u ) \cap \Gamma = \emptyset$ ; confidence 1.000
138. 
; $A = \frac { 1 } { 6 n 16 ^ { n } } ( \frac { 1 + \rho } { 2 } ) ^ { m } ( \frac { 1 - \rho } { 2 } ) ^ { 2 n + k } | \operatorname { Re } \sum _ { j = 1 } ^ { n } b _ { j } |$ ; confidence 1.000
139. 
; $\Delta _ { n } ^ { * } ( \theta )$ ; confidence 1.000
140. 
; $\zeta_N ( s )$ ; confidence 1.000
141. 
; $a _ { N / 2 - k}$ ; confidence 1.000
142. 
; $\phi \in \operatorname{VMO}$ ; confidence 1.000
143. 
; $L ^ { \times }$ ; confidence 1.000
144. 
; $\operatorname{Aut}( B )$ ; confidence 1.000
145. 
; ${\bf Z} G = {\bf Z} H$ ; confidence 1.000
146. 
; $\bf Z$ ; confidence 1.000
147. 
; $\pi : U M \rightarrow M$ ; confidence 0.617
148. 
; $U ^ { \prime }$ ; confidence 0.617
149. 
; $\operatorname{Ad} : G \rightarrow \operatorname{GL} (\frak g )$ ; confidence 1.000
150. 
; $\psi = \psi ( y ; \eta ) \not\equiv 0$ ; confidence 1.000
151. 
; $t ^ { 1 / d }$ ; confidence 0.617
152. 
; $| { k } | > 1$ ; confidence 1.000
153. 
; $c \in E$ ; confidence 0.617
154. 
; $\| ( \lambda + A ( t _ { k } ) ) ^ { - 1 } \ldots ( \lambda + A ( t _ { 1 } ) ) ^ { - 1 } \| _ { L ( X ) } \leq \frac { M } { ( \lambda - \beta ) ^ { k } }$ ; confidence 0.617
155. 
; $i f \in A$ ; confidence 0.617
156. 
; $D _ { Y }$ ; confidence 0.617
157. 
; $f _ { L } ^ { \leftarrow } ( b ) = b \circ f.$ ; confidence 0.617
158. 
; $R _ { l } ( p ; k , n )$ ; confidence 0.617
159. 
; $f ( u ) = a u$ ; confidence 0.617
160. 
; $H ^ { p , q } ( M ) \cong H ^ { q , p } ( M ),$ ; confidence 0.617
161. 
; $k \leq d$ ; confidence 0.617
162. 
; $a _ { 1 } > a _ { 0 } + 2 \sqrt { a _ { 0 } }$ ; confidence 0.616
163. 
; $C _ { C } ^ { \infty } ( G )$ ; confidence 0.616
164. 
; $L (. ; t ) = h (. ; t ) ^ { * } f ( . )$ ; confidence 1.000
165. 
; ${\cal U} _ { q } ( \mathfrak { g } )$ ; confidence 1.000
166. 
; $K _ { p } ( g \circ \lambda ) = K _ { \lambda ( p ) } ( g ) \circ \lambda$ ; confidence 1.000
167. 
; $T > T _ { C }$ ; confidence 0.616
168. 
; $T ^ { n }$ ; confidence 0.616
169. 
; $u _ { n + 1 - k}$ ; confidence 1.000
170. 
; $\pi_T$ ; confidence 1.000
171. 
; $( m l + U t , \pm b / 2 )$ ; confidence 0.616
172. 
; $\operatorname{Re} \lambda \leq 0$ ; confidence 1.000
173. 
; $R _ {\frak M }$ ; confidence 1.000
174. 
; $k = 0 , \ldots , r ( P ) - 1$ ; confidence 0.616
175. 
; $j = 1 , \ldots , p$ ; confidence 0.616
176. 
; $\frak G$ ; confidence 1.000
177. 
; $a , b \in \bf R$ ; confidence 1.000
178. 
; $a_0 , a _ { 1 } , \dots$ ; confidence 1.000
179. 
; $\bf K$ ; confidence 1.000
180. 
; $N = 0$ ; confidence 0.615
181. 
; $ { c } _ { \mu } > - \infty$ ; confidence 1.000
182. 
; $X ^ { 2 } ( \tilde { \theta } _ { n } ) = \operatorname { min } _ { \theta \in \Theta } X ^ { 2 } ( \theta ).$ ; confidence 1.000
183. 
; $\square _ { m } u = ( - \frac { d ^ { 2 } } { d x ^ { 2 } } + q _ { m } ( x ) ) u$ ; confidence 0.615
184. 
; $\xi = G \times ^ { \varrho } C$ ; confidence 0.615
185. 
; $h _ { p } = ( 2 , d ) _ { P } \cdot W _ { P } ( \rho ) / W _ { P } ( \operatorname { det } _ { \rho } ),$ ; confidence 0.615
186. 
; $K ( x ) \approx L ( x ) = \{ \kappa _ { j } ( x ) \approx \lambda _ { j } ( x ) : j \in J \}$ ; confidence 0.615
187. 
; ${\cal H} _ { j }$ ; confidence 1.000
188. 
; $Q_\lambda$ ; confidence 1.000
189. 
; $y_{it}$ ; confidence 1.000
190. 
; $C _ { G } ( x ) \leq N$ ; confidence 0.615
191. 
; ${\frak sl} ( n )$ ; confidence 1.000
192. 
; $M ( G ( z , w ) ) = ( 2 \pi ) ^ { n } \delta _ { w }$ ; confidence 0.615
193. 
; $q = ( q _ { 1 } , \dots , q _ { n } )$ ; confidence 0.615
194. 
; $K _ { S } ( \overline { \sigma } )$ ; confidence 0.615
195. 
; $\mu _ { x } ^ { \Omega } = P _ { \Omega } ( x , \xi ) d \sigma ( \xi )$ ; confidence 0.615
196. 
; $\frac { n ^ { \prime } } { n } < 1 + C \frac { ( \operatorname { log } \operatorname { log } n ) ^ { 2 } } { \operatorname { log } n } , C = \text { const } > 0,$ ; confidence 0.614
197. 
; $T _ { N + 1 } / 2 ^ { N }$ ; confidence 0.614
198. 
; $11$ ; confidence 0.614
199. 
; $\operatorname { lim } _ { n \rightarrow \infty } \frac { \operatorname { det } T _ { n } ( \alpha ) } { G ( \alpha ) ^ { N } } = E ( \alpha )$ ; confidence 0.614
200. 
; $G _ { 2 } / \operatorname { Sp } ( 1 ) , \quad F _ { 4 } / \operatorname { Sp } ( 3 ) , E _ { 6 } / SU ( 6 ) , \quad E _ { 7 } / \operatorname { Spin } ( 12 ) , \quad E _ { 8 } / E _ { 7 }.$ ; confidence 0.614
201. 
; $S _ { \Lambda }$ ; confidence 0.614
202. 
; $\kappa \partial _ { S } F + H _ { S } ( \frac { \delta F } { \delta u } , u , t ) = 0.$ ; confidence 0.614
203. 
; $\hat { \mathfrak { g } } = \hat{\mathfrak { g } }( A )$ ; confidence 1.000
204. 
; $J ^ { r } ( V , W )$ ; confidence 1.000
205. 
; $f ( T ^ { n } x ) g ( S ^ { n } y ) e ^ { 2 \pi i n \varepsilon }$ ; confidence 0.614
206. 
; $m \geq 5$ ; confidence 1.000
207. 
; $y ( x _ { i } ) = c _ { i } , \quad i = 1 , \dots , n ; \quad x _ { i } \in [ a , b ].$ ; confidence 0.614
208. 
; $J _ { f } ^ { r }$ ; confidence 1.000
209. 
; $a b = b a$ ; confidence 0.614
210. 
; $\frac { | \nabla ( {\cal A} ) | } { | N _ { k } + 1 | } \geq \frac { | {\cal A} | } { | N _ { k } | }$ ; confidence 1.000
211. 
; $\frac { 1 } { q } + a _ { 0 } + a _ { 1 } q + \alpha _ { 2 } q ^ { 2 } + \ldots , \quad q = \operatorname { exp } ( 2 \pi i z )$ ; confidence 0.614
212. 
; $q = \operatorname { inf } \{ { k } : \sigma _ { k } \geq 1 \}$ ; confidence 1.000
213. 
; $z \in \bf D$ ; confidence 1.000
214. 
; $T _ { n } ( \zeta )$ ; confidence 0.613
215. 
; $A _ { R }$ ; confidence 1.000
216. 
; $| u_{ tt } |$ ; confidence 1.000
217. 
; $E _ { 2 ^{i-1}(n+1)} ^ { i } $ ; confidence 1.000
218. 
; $Y \times_M TM \rightarrow T Y$ ; confidence 1.000
219. 
; $Z _ { G } ( - q ^ { - 1 } ) = 0$ ; confidence 0.613
220. 
; $\square ^ { 1 } S_n$ ; confidence 1.000
221. 
; $\sigma = \left( \begin{array} { c c } { 0 } & { \operatorname{Id} ( E ^ { * } ) } \\ { - \operatorname{Id} ( E ) } & { 0 } \end{array} \right),$ ; confidence 1.000
222. 
; $S ^ { \perp } = \{ x \in E : \langle x , s \rangle = 0 \text { for all } s \in S \}$ ; confidence 1.000
223. 
; $\operatorname { Ext } _ { H } ^ { 1 } ( T , - )$ ; confidence 0.613
224. 
; $I _ { i } ( \omega )$ ; confidence 0.613
225. 
; $A ^ { - }$ ; confidence 0.613
226. 
; $r \ll n$ ; confidence 1.000
227. 
; $A | _ {\cal E _ { \lambda } ^ { \prime } }$ ; confidence 1.000
228. 
; $r = 0$ ; confidence 0.613
229. 
; $\Xi = {\bf R} ^ { N }$ ; confidence 1.000
230. 
; $( u _ { j } , v _ { j } ) \in E _ { j }$ ; confidence 0.613
231. 
; $G ( \zeta ) e ^ { - \varepsilon | \operatorname { lm } \zeta | - H _ { K } ( \operatorname { lm } \zeta ) }$ ; confidence 1.000
232. 
; $R ^ { \prime } ( I ) = \oplus _ { n \in \bf Z} I^ { n }$ ; confidence 1.000
233. 
; $A _ { P^\prime }$ ; confidence 1.000
234. 
; $\Omega = \{ 0,1 \} ^ { n }$ ; confidence 1.000
235. 
; $\Omega = {\bf R} ^ { n }$ ; confidence 1.000
236. 
; $T ^ { * } M$ ; confidence 1.000
237. 
; $\Gamma \subset {\bf C} ^ { 2 }$ ; confidence 1.000
238. 
; $a _ { n + 1} = F ( 1 , a _ { n } )$ ; confidence 1.000
239. 
; ${\cal A} ( \sigma ) = \int _ { M } L \circ \sigma ^ { k } \Delta = \int _ { M } \sigma ^ { k ^ { * } } ( L \Delta ).$ ; confidence 1.000
240. 
; $\alpha$ ; confidence 1.000
241. 
; $f ^ { \Delta ( \varphi ) } : W \rightarrow \overline {\bf R }$ ; confidence 1.000
242. 
; $\| .\|$ ; confidence 1.000
243. 
; $\hat { X } = X \cup \{ \omega \}$ ; confidence 1.000
244. 
; $\operatorname{P} ( m _ { 0 } , F )$ ; confidence 1.000
245. 
; ${\cal S = M} \circ d$ ; confidence 1.000
246. 
; $x \in A$ ; confidence 0.612
247. 
; $\rho _ { n } ( \phi )$ ; confidence 1.000
248. 
; $[ K , L ] \bigwedge = i _ { K } L - ( - 1 ) ^ { k \text{l}} i _ { L } K$ ; confidence 1.000
249. 
; $\Lambda ( {\cal X} ) : = {\cal X} \otimes _ { {\bf C} } \Lambda$ ; confidence 1.000
250. 
; $f \nabla = 1 _ { X }$ ; confidence 0.611
251. 
; $\tau = ( \tau _ { 1 } , \ldots , \tau _ { n } )$ ; confidence 1.000
252. 
; $m _ { k } = \int _ { I } x ^ { k } d \psi ( x )$ ; confidence 1.000
253. 
; $B \in {\cal M} _ { n } ( {\bf R} )$ ; confidence 1.000
254. 
; $b ^ { n } = 0$ ; confidence 1.000
255. 
; $\psi_b$ ; confidence 1.000
256. 
; $\operatorname { ker } \delta _ { A , B } \nsubseteq \operatorname { ker } \delta _ { A ^ { * } , B ^ { * }}$ ; confidence 1.000
257. 
; $\frac { 1 - | F ( z _ { n } ) | } { 1 - | z _ { n } | } \rightarrow d ( \omega ) < \infty.$ ; confidence 0.611
258. 
; $\| x _ { n } \| \rightarrow 0$ ; confidence 1.000
259. 
; $f | _ { k } ^ { \text{V} } M = f , \forall M \in \Gamma$ ; confidence 1.000
260. 
; $y ( a _ { 1 } / q _ { 1 } )$ ; confidence 0.611
261. 
; $\| \square ^ { t } M _ { \varphi } \| _ { \text{cb} } : = \operatorname { sup } \| \square ^ { t } M _ { \varphi } \otimes 1 _ { n } \|$ ; confidence 1.000
262. 
; $T$ ; confidence 0.611 NOTE: there are three dots on the edges
263. 
; $\frac { D } { D t } = \frac { \partial } { \partial t } + v _ { i } ( . ) , _ { i } = \frac { \partial } { \partial t } + v . \nabla$ ; confidence 0.611
264. 
; $\| f ( x ) - a ( x ) \| \leq K \| x \| ^ { p }$ ; confidence 0.611
265. 
; $g _ { n }$ ; confidence 1.000
266. 
; $X = \{ 1 , \dots , n \}$ ; confidence 0.610
267. 
; $e _ { i } e _ { j } + e _ { j } e _ { i } = 0$ ; confidence 0.610
268. 
; $w ( p - \delta ) + \delta \in C^-$ ; confidence 1.000
269. 
; $S _ { i } = X _ { i } X_i ^ { \prime }$ ; confidence 1.000
270. 
; $h : \{ 1 , \dots , n \} \rightarrow \bf R$ ; confidence 1.000
271. 
; $| \kappa _ { n } | ^ { 2 } = {\cal M} _ { n - 1 } / {\cal M} _ { n }$ ; confidence 0.610
272. 
; $\psi [ 1 ]$ ; confidence 0.610
273. 
; $j = 1 , \dots , r$ ; confidence 0.610
274. 
; $\gamma _ { 1 } ^ { 2 } = - 1 , \gamma _ { 2 } ^ { 2 } = \gamma _ { 3 } ^ { 2 } = \gamma _ { 4 } ^ { 2 } = 1$ ; confidence 0.610
275. 
; $\operatorname { max } _ { j = 1 , \ldots , n - m + 1 } | s _ { j } | \geq m ( \frac { 1 } { 2 } + \frac { m } { 8 n } + \frac { 3 m ^ { 2 } } { 64 n ^ { 2 } } ).$ ; confidence 0.610
276. 
; $\alpha_r$ ; confidence 1.000
277. 
; $\tilde { P _ { 8 } }$ ; confidence 1.000
278. 
; $\mu _ { R _ { P } } ( M _ { P } ) = \mu _ { Q ( R / P ) } ( M \bigotimes _ { R / P } Q ( R / P ) ).$ ; confidence 1.000
279. 
; $f ^ { - 1 } ( ( - \infty , t ] )$ ; confidence 0.610
280. 
; $\Delta d_k = d_k - d_{k + 1}$ ; confidence 1.000
281. 
; $E _ { \lambda }$ ; confidence 0.610
282. 
; $( M _ { T } u ) ( x ) = | \operatorname { det } T \rceil ^ { - 1 / 2 } u ( T ^ { - 1 } x )$ ; confidence 0.610
283. 
; $\operatorname { Ker } ( \operatorname{ad} ) = \{ 0 \}$ ; confidence 1.000
284. 
; $\left( \begin{array} { c c c c } { h ( x _ { 1 } , y _ { 1 } ) } & { h ( x _ { 1 } , y _ { 2 } ) } & { \dots } & { h ( x _ { 1 } , y _ { n } ) } \\ { h ( x _ { 2 } , y _ { 1 } ) } & { h ( x _ { 2 } , y _ { 2 } ) } & { \dots } & { h ( x _ { 2 } , y _ { n } ) } \\ { \vdots } & { \vdots } & { \ddots } & { \vdots } \\ { h ( x _ { n } , y _ { 1 } ) } & { h ( x _ { n } , y _ { 2 } ) } & { \dots } & { h ( x _ { n } , y _ { n } ) } \end{array} \right);$ ; confidence 0.609
285. 
; $\operatorname{id}: X \rightarrow X$ ; confidence 1.000
286. 
; $\{ n _ { i } \}$ ; confidence 0.609
287. 
; $\langle \langle A \rangle \rangle$ ; confidence 0.609
288. 
; $= 2 ^ { 46 } . 3 ^ { 20 } . 5 ^ { 9 } . 7 ^ { 6 } . 11 ^ { 2 } . 13 ^ { 3 }$ ; confidence 1.000
289. 
; $v - A v = ( I - A ) v$ ; confidence 0.609
290. 
; ${\bf S} = c \bf E \times H$ ; confidence 1.000
291. 
; $\operatorname { log } a \in L ^ { 1 } (\bf T )$ ; confidence 1.000
292. 
; $\Omega _ { 1 } \subset \Omega$ ; confidence 0.609
293. 
; $\omega : \operatorname { Gal } ( k ( \mu _ { p } ) / k ) \rightarrow {\bf Z} _ { p } ^ { \times } ( \omega ( a ) \equiv a \operatorname { mod } p )$ ; confidence 1.000
294. 
; $( \alpha _ { 1 } \cup \gamma ^ { d } , \alpha _ { 2 } , \dots , \alpha _ { q } )$ ; confidence 0.609
295. 
; $\operatorname { Ext } _ { H } ^ { 1 } ( T , T ) = 0$ ; confidence 0.609
296. 
; $f \tau$ ; confidence 0.609
297. 
; $\ldots \subset C _ { 3 } \subset \ldots \subset C _ { 2 } \subset \ldots \subset C _ { 1 } \subset \ldots \subset C _ { 0 } = R \cal K$ ; confidence 1.000
298. 
; $\sum _ { i = 1 } ^ { k } s _ { i } A _ { i } A _ { i } ^ { T } = ( m \sum _ { i = 1 } ^ { k } s _ { i } ) I _ { m }$ ; confidence 1.000
299. 
; $T _ { F R }$ ; confidence 0.609
300. 
; $\chi _ { f } ( x y ) = 0$ ; confidence 0.609
Maximilian Janisch/latexlist/latex/NoNroff/51. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/NoNroff/51&oldid=45608