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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 FIN QUI
+
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 0.623
+
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 0.623
+
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 0.623
+
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 0.623
+
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 ; $B ^ { x - k }$ ; confidence 0.623
+
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 0.622
+
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 0.622
+
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 ; $p j$ ; confidence 0.622
+
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 0.622
+
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 0.622
+
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 0.622
+
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 ; $F ( z ) = - \frac { 1 } { 2 \pi i } \int \frac { \operatorname { exp } e ^ { \zeta ^ { 2 } } } { \zeta - z } d \zeta$ ; confidence 0.622
+
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 0.622
+
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 ; $v$ ; confidence 0.622
+
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 0.621
+
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 0.621
+
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 ; $V _ { R , p } ( f , x ) = f ( x )$ ; confidence 0.621
+
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 0.621
+
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 0.621
+
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 ; $G _ { O }$ ; confidence 0.621
+
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 0.621
+
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 0.621
+
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 ; $\xi$ ; confidence 0.621
+
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 0.621
+
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 ; $M M Z$ ; confidence 0.620
+
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 0.620
+
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 0.620
+
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
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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 ; $A _ { k } , A _ { k } , A _ { m }$ ; confidence 0.620
+
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 0.620
+
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 0.620
+
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 ; $\sigma ( z ) = e ^ { i \theta } z + \alpha$ ; confidence 0.620
+
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 ; $z ^ { d }$ ; confidence 0.620
+
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 0.620
+
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
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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 0.620
+
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 0.620
+
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
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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 0.619
+
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
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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 ; $g ^ { - 1 } \in S ^ { 2 } \varepsilon$ ; confidence 0.619
+
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 ; $= f ( N _ { * } ) + f ^ { \prime } ( N _ { * } ) n + \frac { f ^ { \prime \prime } ( N _ { * } ) } { 2 } n ^ { 2 } + \ldots$ ; confidence 0.619
+
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 ; $\left( \begin{array} { c } { \alpha _ { k } } \\ { k } \end{array} \right)$ ; confidence 0.619
+
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 0.619
+
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 0.619
+
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 ; $1.1 _ { \infty }$ ; confidence 0.618
+
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 ; $h \rightarrow D f ( x 0 , h )$ ; confidence 0.618
+
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 ; $\operatorname { lcm } ( 1 , \dots , n ) > 3 ^ { x }$ ; confidence 0.618
+
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 ; $H = R ^ { \gamma }$ ; confidence 0.618
+
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 0.618
+
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 ; $a _ { x } = 1$ ; confidence 0.618
+
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 0.618
+
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 ; $A = \frac { 1 } { 6 n 16 ^ { N } } ( \frac { 1 + \rho } { 2 } ) ^ { m } ( \frac { 1 - \rho } { 2 } ) ^ { 2 n + k } | \operatorname { Re } \sum _ { j = 1 } ^ { n } b _ { j } |$ ; confidence 0.618
+
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 ; $\Delta _ { N } ^ { * } ( \theta )$ ; confidence 0.618
+
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 ; $\zeta N ( s )$ ; confidence 0.618
+
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 ; $\alpha _ { N / 2 } - k$ ; confidence 0.618
+
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 0.618
+
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 ; $i ^ { x }$ ; confidence 0.618
+
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 0.618
+
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 0.618
+
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 ; $2$ ; confidence 0.617
+
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 0.617
+
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 ; $\psi = \psi ( y ; \eta ) \neq 0$ ; confidence 0.617
+
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 ; $| \hat { k } | > 1$ ; confidence 0.617
+
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 0.616
+
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 0.616
+
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 ; $K _ { p } ( g \circ \lambda ) = K _ { \lambda \langle p \rangle } ( g ) \circ \lambda$ ; confidence 0.616
+
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 ; $u _ { n } + 1 - k$ ; confidence 0.616
+
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 ; $\pi \Gamma$ ; confidence 0.616
+
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 0.616
+
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 0.616
+
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 ; $5$ ; confidence 0.616
+
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 0.616
+
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 ; $a 0 , a _ { 1 } , \dots$ ; confidence 0.616
+
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 ; $X$ ; confidence 0.615
+
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 ; $\mathfrak { c } _ { \mu } > - \infty$ ; confidence 0.615
+
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 ; $X ^ { 2 } ( \tilde { \theta } _ { N } ) = \operatorname { min } _ { \theta \in \Theta } X ^ { 2 } ( \theta )$ ; confidence 0.615
+
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 0.615
+
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 ; $Q \lambda$ ; confidence 0.615
+
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 ; $y i$ ; confidence 0.615
+
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 ; $s ( n )$ ; confidence 0.615
+
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 0.614
+
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 ; $J ^ { \prime } ( V , W )$ ; confidence 0.614
+
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 ; $m > 5$ ; confidence 0.614
+
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 ; $J _ { f } ^ { \prime }$ ; confidence 0.614
+
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 0.614
+
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 ; $q = \operatorname { inf } \{ \dot { k } : \sigma _ { k } \geq 1 \}$ ; confidence 0.614
+
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 0.613
+
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 ; $A _ { F }$ ; confidence 0.613
+
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 ; $| u + t |$ ; confidence 0.613
+
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 ; $E _ { 2 } ^ { i } - 1 _ { ( n + 1 ) }$ ; confidence 0.613
+
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 ; $Y \times M \rightarrow T Y$ ; confidence 0.613
+
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 ; $\square ^ { 1 } s$ ; confidence 0.613
+
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 0.613
+
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 ; $S ^ { \perp } = \{ x \in E : \{ x , s \} = 0 \text { for all } s \in S \}$ ; confidence 0.613
+
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 ; $r \leq n$ ; confidence 0.613
+
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 0.613
+
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 0.613
+
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 ; $G ( \zeta ) e ^ { - \varepsilon | \operatorname { lm } \zeta | - H _ { K } \langle \operatorname { lm } \zeta ) }$ ; confidence 0.613
+
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 ; $R ^ { \prime } ( I ) = \oplus _ { n } \in Z ^ { n }$ ; confidence 0.613
+
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 0.613
+
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 ; $\Omega = \{ 0,1 \} ^ { x }$ ; confidence 0.612
+
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 ; $\Omega = R ^ { \gamma }$ ; confidence 0.612
+
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 ; $T ^ { * } N$ ; confidence 0.612
+
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 0.612
+
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 ; $a _ { n } + 1 = F ( 1 , a _ { n } )$ ; confidence 0.612
+
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 0.612
+
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 ; $6$ ; confidence 0.612
+
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 ; $f ^ { \Delta \langle \varphi \rangle } : W \rightarrow \overline { R }$ ; confidence 0.612
+
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 ; $\| .1$ ; confidence 0.612
+
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 ; $\overline { X } = X \cup \{ \omega \}$ ; confidence 0.612
+
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 0.612
+
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 0.612
+
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 ; $\rho _ { N } ( \phi )$ ; confidence 0.612
+
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 ; $[ K , L ] \wedge = i _ { K } L - ( - 1 ) ^ { k } i _ { L } K$ ; confidence 0.612
+
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 0.612
+
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 ; $\tau = ( \tau _ { 1 } , \ldots , \tau _ { N } )$ ; confidence 0.611
+
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 ; $m _ { k } = \int _ { l } x ^ { k } d \psi ( x )$ ; confidence 0.611
+
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 0.611
+
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 ; $b ^ { x } = 0$ ; confidence 0.611
+
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 ; $\psi$ ; confidence 0.611
+
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 ; $\operatorname { ker } \delta _ { A , B } \nsubseteq \operatorname { ker } \delta _ { A } ^ { * } , B ^ { * }$ ; confidence 0.611
+
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 ; $| x _ { y } \| \rightarrow 0$ ; confidence 0.611
+
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 ; $f | _ { k } ^ { \vee } M = f , \forall M \in \Gamma$ ; confidence 0.611
+
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 0.611
+
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 ; $g _ { y }$ ; confidence 0.610
+
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 0.610
+
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 ; $S _ { i } = X _ { i } X ^ { \prime }$ ; confidence 0.610
+
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 0.610
+
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 ; $| \kappa _ { N } | ^ { 2 } = M _ { N - 1 } / M _ { N }$ ; confidence 0.610
+
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 ; $\alpha$ ; confidence 0.610
+
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 ; $\overline { P _ { 8 } }$ ; confidence 0.610
+
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 ; $\mu _ { R _ { P } } ( M _ { P } ) = \mu _ { Q ( R / P ) } ( M \otimes _ { R / P } Q ( R / P ) )$ ; confidence 0.610
+
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 ; $\Delta d k = d k - d k + 1$ ; confidence 0.610
+
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
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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 0.610
+
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 0.609
+
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
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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 ; $= 2 ^ { 46 } \cdot 3 ^ { 20 } \cdot 5 ^ { 9 } \cdot 7 ^ { 6 } \cdot 11 ^ { 2 } \cdot 13 ^ { 3 }$ ; confidence 0.609
+
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 0.609
+
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 0.609
+
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 ; $\omega : \operatorname { Gal } ( k ( \mu _ { p } ) / k ) \rightarrow Z _ { p } ^ { \times } ( \omega ( \alpha ) \equiv \alpha \operatorname { mod } p )$ ; confidence 0.609
+
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 0.609
+
297. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130340/s13034035.png ; $\ldots \subset C _ { 3 } \subset \ldots \subset C _ { 2 } \subset \ldots \subset C _ { 1 } \subset \ldots \subset C _ { 0 } = R \cal K$ ; confidence 1.000
  
298. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120210/w12021044.png ; $\sum _ { i = 1 } ^ { k } s _ { i } A _ { i } A _ { i } ^ { T } = ( m \sum _ { i = 1 } ^ { k } s _ { i } ) l _ { m }$ ; confidence 0.609
+
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. c12026032.png ; $V _ { 0 } ^ { n } = V _ { j } ^ { n } = 0$ ; confidence 0.626

2. a120280132.png ; $M ^ { U } ( E ) = P ( E )\cal X$ ; confidence 1.000

3. l05750023.png ; ${\bf R} _ { n } ^ { Y }$ ; confidence 1.000

4. b120210134.png ; $C _ { k } = \oplus _ { w \in W ^ { ( i ) } } M ( w . \lambda )$ ; confidence 1.000

5. e12024080.png ; $H ^ { 2 } ( Z [ 1 / p ] ; Z _ { p } ( n ) )$ ; confidence 0.626

6. h047940173.png ; $P _ { n + 1}$ ; confidence 1.000

7. b13021014.png ; $f = ( f _ { b } ) _ { b \in B }$ ; confidence 0.625

8. k12008083.png ; $\rho ^ { \prime } ( \xi ) = ( \partial \rho / \partial \xi _ { 1 } , \dots , \partial \rho / \partial \xi _ { n } )$ ; confidence 0.625

9. z13008022.png ; $V _ { N } ^ { m } ( x , y ) = e ^ { i m \theta } R _ { x } ^ { m } ( r ),$ ; confidence 0.625

10. f13028031.png ; $N _ { \tilde{A}x } ( \tilde { B } ) \geq h ^ { N }$ ; confidence 1.000

11. f13028013.png ; $\mu _ { B } ( A {\bf x} )$ ; confidence 1.000

12. s13049045.png ; $( p _ { 0 } < \ldots < p _ { h } )$ ; confidence 0.625

13. w12005013.png ; $1 = e _ { 1 } + \ldots + e _ { k }$ ; confidence 0.625

14. f12014047.png ; $\alpha \pi$ ; confidence 0.625

15. j13001034.png ; $D_{f , 2}$ ; confidence 1.000

16. i130060103.png ; $\{ \varphi_+ ( k ) , \varphi_- ( k ) \}$ ; confidence 1.000

17. c12030065.png ; $B \rtimes _ { \alpha } \bf Z$ ; confidence 1.000

18. t130050182.png ; $= [ \sigma _ { Te } ( A , {\cal H} ) \times \sigma _ { T } ( B , {\cal H} ) ] \bigcup [ \sigma _ { T } ( A , {\cal H} ) \times \sigma _ { Te } ( B , {\cal H} ) ].$ ; confidence 1.000

19. l120170189.png ; $\operatorname{Wh} ^ { * } ( \pi ) \neq \{ 0 \}$ ; confidence 1.000

20. n13003052.png ; $v = w$ ; confidence 0.625

21. s120230115.png ; $\lambda ( T T ^ { \prime } ) = \operatorname { diag } ( \tau _ { 1 } , \dots , \tau _ { 1 } )$ ; confidence 0.625

22. b12004058.png ; $D _ { s } f ( t ) = f ( t / s )$ ; confidence 0.625

23. e13004052.png ; $\overset{\rightharpoonup} { x } . \overset{\rightharpoonup} { v } < 0$ ; confidence 1.000

24. c025650116.png ; $E \subset {\bf R} ^ { n }$ ; confidence 1.000

25. c13009035.png ; $b _ { N - 1 } = 2 N a _ { N }$ ; confidence 0.624

26. p12017079.png ; $A$ ; confidence 1.000

27. t1201406.png ; $( \gamma _ { j - k } ) _ { j , k \geq 0 }$ ; confidence 0.624

28. b13023011.png ; $M _ { n+ 1} / M _ { n }$ ; confidence 1.000

29. b12049047.png ; $\{ m _ { n } \}$ ; confidence 1.000

30. b130290210.png ; $i \neq d$ ; confidence 1.000

31. w12013015.png ; $\sigma _ { \text{ess} } ( T ) = \sigma _ { \text{ess} } ( T + S ).$ ; confidence 1.000

32. n067520383.png ; $N = N _ { 1 } \cup \ldots \cup N _ { n }$ ; confidence 0.624

33. c0201809.png ; $R ^ { * }$ ; confidence 1.000

34. o13005014.png ; $W _ { \Theta } ( z ) = I - 2 i K ^ { * } ( T - z I ) ^ { - 1 } K J,$ ; confidence 0.624

35. k13001048.png ; $10_{101}$ ; confidence 1.000

36. f1301007.png ; ${\cal L} _ {\bf C } ^ { p } ( G )$ ; confidence 1.000

37. c1200208.png ; $| S ^ { n - 1 } |$ ; confidence 1.000

38. c026010414.png ; $J ^ { * }$ ; confidence 0.624

39. n067520330.png ; $\{ f _ { i _ { 1 } } , \dots , f _ { i _ { n } } \}$ ; confidence 0.624

40. b12015089.png ; $\operatorname { dim } D _ { s } ^ { \perp } = 2 ^ { n } - n - 1$ ; confidence 0.624

41. a1202309.png ; $z _ { 1 } ^ { m } d z _ { 1 }$ ; confidence 0.624

42. m13023033.png ; $R = {\bf R} _ { \geq 0 } v \subset \overline { N E } ( X / S )$ ; confidence 1.000

43. l0608104.png ; $m = 0,1 , \ldots$ ; confidence 0.623

44. a13007030.png ; $c = 7$ ; confidence 0.623

45. a130180140.png ; $\leq 2$ ; confidence 1.000

46. n1200605.png ; $F M \rightarrow M$ ; confidence 0.623

47. f04049055.png ; $F _ { m n }$ ; confidence 0.623

48. z13003039.png ; $Z [ f ( t + m ) ] ( t , w ) = e ^ { 2 \pi i m w } Z [ f ] ( t , w ).$ ; confidence 1.000

49. z13011025.png ; $\mu _ { n } = \sum _ { i = 1 } ^ { N } 1 _ { \{ f _ { i n } \geq 1 \} }$ ; confidence 0.623

50. e03644017.png ; $| x |$ ; confidence 0.623

51. a012980112.png ; $k = 1 , \dots , n$ ; confidence 0.623

52. v12002064.png ; $d _ { k } = \operatorname{rd} _ { Y } M _ { k }$ ; confidence 1.000

53. s13059029.png ; $H _ { k } ^ { ( m ) } > 0 , m = 0 , \pm 1 , \pm 2 , \ldots , k = 1,2 ,\dots .$ ; confidence 1.000

54. b1203604.png ; $k _ { B }$ ; confidence 0.623

55. 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. n12002074.png ; $\operatorname{P} ( m , F )$ ; confidence 1.000

57. e120230184.png ; $E ^ { k + 1 }$ ; confidence 0.623

58. c13019062.png ; $B ^ { n - k }$ ; confidence 1.000

59. a13024076.png ; $m = 1 + I + J + I J$ ; confidence 0.623

60. b13009020.png ; $H ^ { 1 } ( {\bf R} _ { X } )$ ; confidence 1.000

61. e12012040.png ; $g = ( g _ { 1 } , \dots , g _ { N } )$ ; confidence 0.622

62. f120110175.png ; $\operatorname{WFA} f$ ; confidence 1.000

63. m13014092.png ; $b _ { j } ^ { l } > 0$ ; confidence 0.622

64. w12007010.png ; ${\bf p}_j$ ; confidence 1.000

65. k055840239.png ; $x \in {\cal D} ( p ( A ) )$ ; confidence 1.000

66. c120180300.png ; $R ( \nabla ) : \otimes ^ { r } {\cal E} \rightarrow \otimes ^ {r + 2 } {\cal E}$ ; confidence 1.000

67. d12016047.png ; ${\cal M} _ { s }$ ; confidence 1.000

68. 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. d12006032.png ; $s ^ { 2 = 4 \lambda } ( x , y ) p q$ ; confidence 0.622

70. z130110151.png ; $u = \alpha ^ { s }$ ; confidence 0.622

71. w13012031.png ; $T _ { \text{B} \delta }$ ; confidence 1.000

72. 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. e12010033.png ; $\bf M$ ; confidence 1.000

74. a014310184.png ; $\Pi _ { 1 } ^ { 1 }$ ; confidence 0.621

75. t12005059.png ; $U \rightarrow G _ { N } ( {\bf R} ^ { N } \times {\bf R} ^ { p } )$ ; confidence 1.000

76. f1300503.png ; $f ( x ) = \sum _ { i = 1 } ^ { m } w _ { i } \| p _ { i } - x \| , x \in {\bf R} ^ { n },$ ; confidence 1.000

77. d03027030.png ; $V _ { n , p } ( f , x ) = f ( x )$ ; confidence 1.000

78. c02194023.png ; $Q _ { n } ( x )$ ; confidence 0.621

79. s13064015.png ; $E ( a )$ ; confidence 0.621

80. b12040036.png ; $g \times ^ { \varrho } {\bf f} \in G \times ^ { \varrho } F$ ; confidence 1.000

81. w1300507.png ; $S _ { \mathfrak { g } } ^ { * }$ ; confidence 0.621

82. b1200506.png ; $P : E \rightarrow \bf C$ ; confidence 1.000

83. b12017029.png ; ${\cal G} _ { \alpha }$ ; confidence 1.000

84. b13017038.png ; $\phi _ { t }$ ; confidence 0.621

85. w12018023.png ; $\operatorname{P} \{ \operatorname { sup } W ^ { ( N ) } ( t ) > u \}$ ; confidence 1.000

86. c120180150.png ; $X \otimes Y \in \otimes ^ { 2 } \cal E *$ ; confidence 1.000

87. c022780157.png ; $\xi_r$ ; confidence 1.000

88. a130180192.png ; $V \subseteq {\bf C A}_\alpha$ ; confidence 1.000

89. b110220219.png ; ${\bf MM}_{\cal Z}$ ; confidence 1.000

90. p1201708.png ; $\operatorname { ker }\delta _ { A } \subseteq \operatorname { ker } \delta _ { A } *$ ; confidence 1.000

91. l11002018.png ; $\{. , e , ^{- 1} , \vee , \wedge \}$ ; confidence 1.000

92. a01405025.png ; $B _ { 1 }$ ; confidence 0.620

93. a13019012.png ; $r ^ { i } ( A ) * r ^ { j } ( B )$ ; confidence 0.620

94. h12007018.png ; $A _ { h } , A _ { k } , A _ { m }$ ; confidence 1.000

95. k1201201.png ; $K : = \int \frac { - \operatorname { ln } f ( . ) } { 1 + x ^ { 2 } } d x,$ ; confidence 1.000

96. w120110236.png ; $b \in S ( m _ { 2 } , G )$ ; confidence 0.620

97. f13009060.png ; $\operatorname{P} ( N _ { k } = n ) = p ^ { n } F _ { n + 1 - k } ^ { ( k ) } ( \frac { q } { p } ),$ ; confidence 1.000

98. h12011017.png ; $\sigma ( z ) = e ^ { i \theta } z + a$ ; confidence 1.000

99. h13002082.png ; ${\bf Z} ^ { d }$ ; confidence 1.000

100. s1300402.png ; $G = \operatorname{SL} ( 2 , \bf R )$ ; confidence 1.000

101. n067520160.png ; $( \lambda - a _ { i } ) ^ { n _ { i j } }$ ; confidence 0.620

102. b11026030.png ; $X = 0$ ; confidence 0.620

103. t12020086.png ; $x \operatorname { exp } ( x + 1 ) = 1$ ; confidence 0.620

104. z13008012.png ; $\langle f , g \rangle = \int \int _ { D } f ( x , y ) \overline { g ( x , y ) } d x d y$ ; confidence 0.620

105. a130240333.png ; $n \times p _ { 1 }$ ; confidence 0.620

106. 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. a1302401.png ; $\bf y = X \beta + e,$ ; confidence 1.000

108. w130080146.png ; $G = \operatorname{GL} ( N ,\bf C )$ ; confidence 1.000

109. e12006016.png ; $A \in T _ { X } M$ ; confidence 0.620

110. p130100102.png ; $\hat { K } = K$ ; confidence 0.620

111. a130240346.png ; $q \times p$ ; confidence 0.619

112. b130200191.png ; $\alpha _ { i } \in \Pi ^ { im }$ ; confidence 0.619

113. c1202207.png ; $\operatorname{id}: ( X , * ) \rightarrow ( X , * )$ ; confidence 1.000

114. l12004064.png ; $f _ { i + 1 } ^ { n } = a u _ { i + 1 } ^ { n }$ ; confidence 0.619

115. e12002071.png ; $\pi _ { n } ( X , Y )$ ; confidence 0.619

116. c120180157.png ; $g ^ { - 1 } \in \operatorname{S} ^ { 2 } \cal E *$ ; confidence 0.619

117. m12013029.png ; $= f ( N { * } ) + f ^ { \prime } ( N { * } ) n + \frac { f ^ { \prime \prime } ( N { * } ) } { 2 } n ^ { 2 } + \ldots,$ ; confidence 1.000

118. k13006013.png ; $\left( \begin{array} { c } { a _ { k } } \\ { k } \end{array} \right)$ ; confidence 1.000

119. b13025046.png ; $C ^ { \prime} \small C A$ ; confidence 1.000

120. m1201903.png ; $f \in L _ { 2 } ( {\bf R} _ { + } ; x ^ { - 1 } )$ ; confidence 1.000

121. h13002050.png ; $A = \{ 0 , \dots , q - 1 \}$ ; confidence 0.619

122. 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. j130040133.png ; $P ( i , i \sqrt { 2 } ) = ( - \sqrt { 2 } ) ^ { \operatorname { com } ( L ) - 1 } ( - 1 ) ^ { \operatorname { Arf } ( L ) }$ ; confidence 0.618

124. b13003036.png ; $V ^ { \sigma } ( y )$ ; confidence 0.618

125. v120020182.png ; $\overline { D } \square ^ { n + 1 } \subset E ^ { n + 1 }$ ; confidence 0.618

126. d03192046.png ; $\alpha _ { i } = 1$ ; confidence 0.618

127. s13001030.png ; $|.| _ { \infty }$ ; confidence 1.000

128. w130080110.png ; $F ^ { SW } = \tilde { F }$ ; confidence 0.618

129. g0433704.png ; $h \rightarrow D f ( x_0 , h ),$ ; confidence 1.000

130. c120180182.png ; $\tau _ { 2 } \Theta = - \Theta$ ; confidence 0.618

131. c130070151.png ; $u , v \in k ( C )$ ; confidence 0.618

132. a13026012.png ; $\operatorname { lcm } ( 1 , \dots , n ) > 3 ^ { n }$ ; confidence 1.000

133. e120230119.png ; $\Delta = \gamma d x _ { 1 } \wedge \ldots \wedge d x _ { n }$ ; confidence 0.618

134. m12023071.png ; $H = {\bf R} ^ { n }$ ; confidence 1.000

135. z13007055.png ; $\operatorname{GL} _ { n } ( {\bf Q} A )$ ; confidence 1.000

136. p12013016.png ; $a _ { n } = 1$ ; confidence 1.000

137. g12004093.png ; $\operatorname{WF} _ { s } ( P ( x , D ) u ) \cap \Gamma = \emptyset$ ; confidence 1.000

138. 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. c120210128.png ; $\Delta _ { n } ^ { * } ( \theta )$ ; confidence 1.000

140. a12027036.png ; $\zeta_N ( s )$ ; confidence 1.000

141. t13021048.png ; $a _ { N / 2 - k}$ ; confidence 1.000

142. h120020124.png ; $\phi \in \operatorname{VMO}$ ; confidence 1.000

143. b12053016.png ; $L ^ { \times }$ ; confidence 1.000

144. m13014060.png ; $\operatorname{Aut}( B )$ ; confidence 1.000

145. z13007027.png ; ${\bf Z} G = {\bf Z} H$ ; confidence 1.000

146. c13006021.png ; $\bf Z$ ; confidence 1.000

147. s1300203.png ; $\pi : U M \rightarrow M$ ; confidence 0.617

148. h04756024.png ; $U ^ { \prime }$ ; confidence 0.617

149. a1201503.png ; $\operatorname{Ad} : G \rightarrow \operatorname{GL} (\frak g )$ ; confidence 1.000

150. b12030042.png ; $\psi = \psi ( y ; \eta ) \not\equiv 0$ ; confidence 1.000

151. w13010044.png ; $t ^ { 1 / d }$ ; confidence 0.617

152. k13007018.png ; $| { k } | > 1$ ; confidence 1.000

153. r08232069.png ; $c \in E$ ; confidence 0.617

154. a12006045.png ; $\| ( \lambda + A ( t _ { k } ) ) ^ { - 1 } \ldots ( \lambda + A ( t _ { 1 } ) ) ^ { - 1 } \| _ { L ( X ) } \leq \frac { M } { ( \lambda - \beta ) ^ { k } }$ ; confidence 0.617

155. b13016027.png ; $i f \in A$ ; confidence 0.617

156. d03002092.png ; $D _ { Y }$ ; confidence 0.617

157. f13029066.png ; $f _ { L } ^ { \leftarrow } ( b ) = b \circ f.$ ; confidence 0.617

158. f13009066.png ; $R _ { l } ( p ; k , n )$ ; confidence 0.617

159. l12004029.png ; $f ( u ) = a u$ ; confidence 0.617

160. k0550708.png ; $H ^ { p , q } ( M ) \cong H ^ { q , p } ( M ),$ ; confidence 0.617

161. a1300904.png ; $k \leq d$ ; confidence 0.617

162. p12014010.png ; $a _ { 1 } > a _ { 0 } + 2 \sqrt { a _ { 0 } }$ ; confidence 0.616

163. b12013029.png ; $C _ { C } ^ { \infty } ( G )$ ; confidence 0.616

164. s1200205.png ; $L (. ; t ) = h (. ; t ) ^ { * } f ( . )$ ; confidence 1.000

165. q12003025.png ; ${\cal U} _ { q } ( \mathfrak { g } )$ ; confidence 1.000

166. k12008035.png ; $K _ { p } ( g \circ \lambda ) = K _ { \lambda ( p ) } ( g ) \circ \lambda$ ; confidence 1.000

167. i12008043.png ; $T > T _ { C }$ ; confidence 0.616

168. t120010158.png ; $T ^ { n }$ ; confidence 0.616

169. d03025016.png ; $u _ { n + 1 - k}$ ; confidence 1.000

170. s120040125.png ; $\pi_T$ ; confidence 1.000

171. v13011041.png ; $( m l + U t , \pm b / 2 )$ ; confidence 0.616

172. a11032030.png ; $\operatorname{Re} \lambda \leq 0$ ; confidence 1.000

173. b130290193.png ; $R _ {\frak M }$ ; confidence 1.000

174. s13049041.png ; $k = 0 , \ldots , r ( P ) - 1$ ; confidence 0.616

175. a130240446.png ; $j = 1 , \ldots , p$ ; confidence 0.616

176. a01082068.png ; $\frak G$ ; confidence 1.000

177. g12005053.png ; $a , b \in \bf R$ ; confidence 1.000

178. a1302804.png ; $a_0 , a _ { 1 } , \dots$ ; confidence 1.000

179. a1107003.png ; $\bf K$ ; confidence 1.000

180. m1201307.png ; $N = 0$ ; confidence 0.615

181. s13065026.png ; $ { c } _ { \mu } > - \infty$ ; confidence 1.000

182. c02211041.png ; $X ^ { 2 } ( \tilde { \theta } _ { n } ) = \operatorname { min } _ { \theta \in \Theta } X ^ { 2 } ( \theta ).$ ; confidence 1.000

183. o1300802.png ; $\square _ { m } u = ( - \frac { d ^ { 2 } } { d x ^ { 2 } } + q _ { m } ( x ) ) u$ ; confidence 0.615

184. b12040049.png ; $\xi = G \times ^ { \varrho } C$ ; confidence 0.615

185. a12027068.png ; $h _ { p } = ( 2 , d ) _ { P } \cdot W _ { P } ( \rho ) / W _ { P } ( \operatorname { det } _ { \rho } ),$ ; confidence 0.615

186. a130040236.png ; $K ( x ) \approx L ( x ) = \{ \kappa _ { j } ( x ) \approx \lambda _ { j } ( x ) : j \in J \}$ ; confidence 0.615

187. a130240450.png ; ${\cal H} _ { j }$ ; confidence 1.000

188. h04698022.png ; $Q_\lambda$ ; confidence 1.000

189. a120160154.png ; $y_{it}$ ; confidence 1.000

190. f120190100.png ; $C _ { G } ( x ) \leq N$ ; confidence 0.615

191. d12024082.png ; ${\frak sl} ( n )$ ; confidence 1.000

192. p13007096.png ; $M ( G ( z , w ) ) = ( 2 \pi ) ^ { n } \delta _ { w }$ ; confidence 0.615

193. a12023059.png ; $q = ( q _ { 1 } , \dots , q _ { n } )$ ; confidence 0.615

194. l120120146.png ; $K _ { S } ( \overline { \sigma } )$ ; confidence 0.615

195. p13009039.png ; $\mu _ { x } ^ { \Omega } = P _ { \Omega } ( x , \xi ) d \sigma ( \xi )$ ; confidence 0.615

196. 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. c1300907.png ; $T _ { N + 1 } / 2 ^ { N }$ ; confidence 0.614

198. i130030162.png ; $11$ ; confidence 0.614

199. s13064014.png ; $\operatorname { lim } _ { n \rightarrow \infty } \frac { \operatorname { det } T _ { n } ( \alpha ) } { G ( \alpha ) ^ { N } } = E ( \alpha )$ ; confidence 0.614

200. 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. b130200199.png ; $S _ { \Lambda }$ ; confidence 0.614

202. w130080202.png ; $\kappa \partial _ { S } F + H _ { S } ( \frac { \delta F } { \delta u } , u , t ) = 0.$ ; confidence 0.614

203. b13020033.png ; $\hat { \mathfrak { g } } = \hat{\mathfrak { g } }( A )$ ; confidence 1.000

204. t12005068.png ; $J ^ { r } ( V , W )$ ; confidence 1.000

205. w13011033.png ; $f ( T ^ { n } x ) g ( S ^ { n } y ) e ^ { 2 \pi i n \varepsilon }$ ; confidence 0.614

206. f13005013.png ; $m \geq 5$ ; confidence 1.000

207. d0302507.png ; $y ( x _ { i } ) = c _ { i } , \quad i = 1 , \dots , n ; \quad x _ { i } \in [ a , b ].$ ; confidence 0.614

208. h12001015.png ; $J _ { f } ^ { r }$ ; confidence 1.000

209. p12017090.png ; $a b = b a$ ; confidence 0.614

210. s13049039.png ; $\frac { | \nabla ( {\cal A} ) | } { | N _ { k } + 1 | } \geq \frac { | {\cal A} | } { | N _ { k } | }$ ; confidence 1.000

211. 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. q12008042.png ; $q = \operatorname { inf } \{ { k } : \sigma _ { k } \geq 1 \}$ ; confidence 1.000

213. o13005096.png ; $z \in \bf D$ ; confidence 1.000

214. v096900186.png ; $T _ { n } ( \zeta )$ ; confidence 0.613

215. a13006061.png ; $A _ { R }$ ; confidence 1.000

216. e13005036.png ; $| u_{ tt } |$ ; confidence 1.000

217. k12013011.png ; $E _ { 2 ^{i-1}(n+1)} ^ { i } $ ; confidence 1.000

218. e12006015.png ; $Y \times_M TM \rightarrow T Y$ ; confidence 1.000

219. a130050248.png ; $Z _ { G } ( - q ^ { - 1 } ) = 0$ ; confidence 0.613

220. l06005078.png ; $\square ^ { 1 } S_n$ ; confidence 1.000

221. w12011076.png ; $\sigma = \left( \begin{array} { c c } { 0 } & { \operatorname{Id} ( E ^ { * } ) } \\ { - \operatorname{Id} ( E ) } & { 0 } \end{array} \right),$ ; confidence 1.000

222. s12018053.png ; $S ^ { \perp } = \{ x \in E : \langle x , s \rangle = 0 \text { for all } s \in S \}$ ; confidence 1.000

223. t13010037.png ; $\operatorname { Ext } _ { H } ^ { 1 } ( T , - )$ ; confidence 0.613

224. l13008021.png ; $I _ { i } ( \omega )$ ; confidence 0.613

225. d13013095.png ; $A ^ { - }$ ; confidence 0.613

226. d12023037.png ; $r \ll n$ ; confidence 1.000

227. k055840184.png ; $A | _ {\cal E _ { \lambda } ^ { \prime } }$ ; confidence 1.000

228. b11074040.png ; $r = 0$ ; confidence 0.613

229. b12022075.png ; $\Xi = {\bf R} ^ { N }$ ; confidence 1.000

230. s13051077.png ; $( u _ { j } , v _ { j } ) \in E _ { j }$ ; confidence 0.613

231. f120110213.png ; $G ( \zeta ) e ^ { - \varepsilon | \operatorname { lm } \zeta | - H _ { K } ( \operatorname { lm } \zeta ) }$ ; confidence 1.000

232. b130290220.png ; $R ^ { \prime } ( I ) = \oplus _ { n \in \bf Z} I^ { n }$ ; confidence 1.000

233. v09690032.png ; $A _ { P^\prime }$ ; confidence 1.000

234. b1201509.png ; $\Omega = \{ 0,1 \} ^ { n }$ ; confidence 1.000

235. f03847024.png ; $\Omega = {\bf R} ^ { n }$ ; confidence 1.000

236. a01201026.png ; $T ^ { * } M$ ; confidence 1.000

237. p130100128.png ; $\Gamma \subset {\bf C} ^ { 2 }$ ; confidence 1.000

238. b12032072.png ; $a _ { n + 1} = F ( 1 , a _ { n } )$ ; confidence 1.000

239. e120230143.png ; ${\cal A} ( \sigma ) = \int _ { M } L \circ \sigma ^ { k } \Delta = \int _ { M } \sigma ^ { k ^ { * } } ( L \Delta ).$ ; confidence 1.000

240. a130240254.png ; $\alpha$ ; confidence 1.000

241. f12004029.png ; $f ^ { \Delta ( \varphi ) } : W \rightarrow \overline {\bf R }$ ; confidence 1.000

242. c12003016.png ; $\| .\|$ ; confidence 1.000

243. e13006050.png ; $\hat { X } = X \cup \{ \omega \}$ ; confidence 1.000

244. n12002096.png ; $\operatorname{P} ( m _ { 0 } , F )$ ; confidence 1.000

245. e120010129.png ; ${\cal S = M} \circ d$ ; confidence 1.000

246. a13002018.png ; $x \in A$ ; confidence 0.612

247. h120020112.png ; $\rho _ { n } ( \phi )$ ; confidence 1.000

248. f12023061.png ; $[ K , L ] \bigwedge = i _ { K } L - ( - 1 ) ^ { k \text{l}} i _ { L } K$ ; confidence 1.000

249. t13005030.png ; $\Lambda ( {\cal X} ) : = {\cal X} \otimes _ { {\bf C} } \Lambda$ ; confidence 1.000

250. h12012010.png ; $f \nabla = 1 _ { X }$ ; confidence 0.611

251. r1200206.png ; $\tau = ( \tau _ { 1 } , \ldots , \tau _ { n } )$ ; confidence 1.000

252. m1301903.png ; $m _ { k } = \int _ { I } x ^ { k } d \psi ( x )$ ; confidence 1.000

253. b11002041.png ; $B \in {\cal M} _ { n } ( {\bf R} )$ ; confidence 1.000

254. m130260162.png ; $b ^ { n } = 0$ ; confidence 1.000

255. m12003083.png ; $\psi_b$ ; confidence 1.000

256. p12017029.png ; $\operatorname { ker } \delta _ { A , B } \nsubseteq \operatorname { ker } \delta _ { A ^ { * } , B ^ { * }}$ ; confidence 1.000

257. j13007049.png ; $\frac { 1 - | F ( z _ { n } ) | } { 1 - | z _ { n } | } \rightarrow d ( \omega ) < \infty.$ ; confidence 0.611

258. b12004018.png ; $\| x _ { n } \| \rightarrow 0$ ; confidence 1.000

259. e12007031.png ; $f | _ { k } ^ { \text{V} } M = f , \forall M \in \Gamma$ ; confidence 1.000

260. b13019024.png ; $y ( a _ { 1 } / q _ { 1 } )$ ; confidence 0.611

261. f12008097.png ; $\| \square ^ { t } M _ { \varphi } \| _ { \text{cb} } : = \operatorname { sup } \| \square ^ { t } M _ { \varphi } \otimes 1 _ { n } \|$ ; confidence 1.000

262. a12020089.png ; $T$ ; confidence 0.611 NOTE: there are three dots on the edges

263. m130110127.png ; $\frac { D } { D t } = \frac { \partial } { \partial t } + v _ { i } ( . ) , _ { i } = \frac { \partial } { \partial t } + v . \nabla$ ; confidence 0.611

264. h13012030.png ; $\| f ( x ) - a ( x ) \| \leq K \| x \| ^ { p }$ ; confidence 0.611

265. b11025027.png ; $g _ { n }$ ; confidence 1.000

266. c13014034.png ; $X = \{ 1 , \dots , n \}$ ; confidence 0.610

267. t1300507.png ; $e _ { i } e _ { j } + e _ { j } e _ { i } = 0$ ; confidence 0.610

268. b120400130.png ; $w ( p - \delta ) + \delta \in C^-$ ; confidence 1.000

269. s120230139.png ; $S _ { i } = X _ { i } X_i ^ { \prime }$ ; confidence 1.000

270. b120150167.png ; $h : \{ 1 , \dots , n \} \rightarrow \bf R$ ; confidence 1.000

271. m13019050.png ; $| \kappa _ { n } | ^ { 2 } = {\cal M} _ { n - 1 } / {\cal M} _ { n }$ ; confidence 0.610

272. d1200607.png ; $\psi [ 1 ]$ ; confidence 0.610

273. c02147035.png ; $j = 1 , \dots , r$ ; confidence 0.610

274. d13011045.png ; $\gamma _ { 1 } ^ { 2 } = - 1 , \gamma _ { 2 } ^ { 2 } = \gamma _ { 3 } ^ { 2 } = \gamma _ { 4 } ^ { 2 } = 1$ ; confidence 0.610

275. 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. s09108025.png ; $\alpha_r$ ; confidence 1.000

277. o13003024.png ; $\tilde { P _ { 8 } }$ ; confidence 1.000

278. f13016012.png ; $\mu _ { R _ { P } } ( M _ { P } ) = \mu _ { Q ( R / P ) } ( M \bigotimes _ { R / P } Q ( R / P ) ).$ ; confidence 1.000

279. b12055060.png ; $f ^ { - 1 } ( ( - \infty , t ] )$ ; confidence 0.610

280. i13004010.png ; $\Delta d_k = d_k - d_{k + 1}$ ; confidence 1.000

281. k055840166.png ; $E _ { \lambda }$ ; confidence 0.610

282. w12011093.png ; $( M _ { T } u ) ( x ) = | \operatorname { det } T \rceil ^ { - 1 / 2 } u ( T ^ { - 1 } x )$ ; confidence 0.610

283. a12015032.png ; $\operatorname { Ker } ( \operatorname{ad} ) = \{ 0 \}$ ; confidence 1.000

284. 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. c1202203.png ; $\operatorname{id}: X \rightarrow X$ ; confidence 1.000

286. d12011030.png ; $\{ n _ { i } \}$ ; confidence 0.609

287. c13006028.png ; $\langle \langle A \rangle \rangle$ ; confidence 0.609

288. t1200706.png ; $= 2 ^ { 46 } . 3 ^ { 20 } . 5 ^ { 9 } . 7 ^ { 6 } . 11 ^ { 2 } . 13 ^ { 3 }$ ; confidence 1.000

289. a12012038.png ; $v - A v = ( I - A ) v$ ; confidence 0.609

290. e12010047.png ; ${\bf S} = c \bf E \times H$ ; confidence 1.000

291. s1306408.png ; $\operatorname { log } a \in L ^ { 1 } (\bf T )$ ; confidence 1.000

292. b13026042.png ; $\Omega _ { 1 } \subset \Omega$ ; confidence 0.609

293. 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. h13002077.png ; $( \alpha _ { 1 } \cup \gamma ^ { d } , \alpha _ { 2 } , \dots , \alpha _ { q } )$ ; confidence 0.609

295. t1301007.png ; $\operatorname { Ext } _ { H } ^ { 1 } ( T , T ) = 0$ ; confidence 0.609

296. d13018062.png ; $f \tau$ ; confidence 0.609

297. 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. 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. w120060109.png ; $T _ { F R }$ ; confidence 0.609

300. b12046053.png ; $\chi _ { f } ( x y ) = 0$ ; confidence 0.609

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/NoNroff/51. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/NoNroff/51&oldid=45608