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(AUTOMATIC EDIT of page 2 out of 11 with 300 lines: Updated image/latex database (currently 3083 images latexified; order by Confidence, ascending: False.)
 
(AUTOMATIC EDIT of page 2 out of 11 with 300 lines: Updated image/latex database (currently 3083 images latexified; order by Confidence, ascending: False.)
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6. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240122.png ; $t _ { 1 } , t _ { 2 } , \ldots$ ; confidence 0.731
 
6. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240122.png ; $t _ { 1 } , t _ { 2 } , \ldots$ ; confidence 0.731
  
7. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240407.png ; $$M _ { E } = \sum _ { i j k } ( y _ { i j k } - y _ { i j . } ) ^ { \prime } ( y _ { i j k } - y _ { i j } )$$ ; confidence 0.159
+
7. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240407.png ; $M _ { E } = \sum _ { i j k } ( y _ { i j k } - y _ { i j . } ) ^ { \prime } ( y _ { i j k } - y _ { i j } )$ ; confidence 0.159
  
 
8. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240518.png ; $Z _ { 12 }$ ; confidence 0.917
 
8. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240518.png ; $Z _ { 12 }$ ; confidence 0.917
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51. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240242.png ; $SS _ { H } = \sum _ { i = 1 } ^ { \Psi } z _ { i } ^ { 2 }$ ; confidence 0.251
 
51. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240242.png ; $SS _ { H } = \sum _ { i = 1 } ^ { \Psi } z _ { i } ^ { 2 }$ ; confidence 0.251
  
52. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240423.png ; $$q \times 1$$ ; confidence 1.000
+
52. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240423.png ; $q \times 1$ ; confidence 1.000
  
 
53. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240216.png ; $\operatorname { dim } ( \Omega ) = r$ ; confidence 0.998
 
53. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240216.png ; $\operatorname { dim } ( \Omega ) = r$ ; confidence 0.998
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60. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240209.png ; $S$ ; confidence 0.868
 
60. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240209.png ; $S$ ; confidence 0.868
  
61. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240219.png ; $$I$$ ; confidence 0.738
+
61. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240219.png ; $I$ ; confidence 0.738
  
 
62. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240231.png ; $a$ ; confidence 0.607
 
62. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240231.png ; $a$ ; confidence 0.607
  
63. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240220.png ; $$n \times n$$ ; confidence 0.980
+
63. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240220.png ; $n \times n$ ; confidence 0.980
  
 
64. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240147.png ; $\mu$ ; confidence 0.780
 
64. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240147.png ; $\mu$ ; confidence 0.780
  
65. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240239.png ; $$MS _ { e }$$ ; confidence 0.884
+
65. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240239.png ; $MS _ { e }$ ; confidence 0.884
  
66. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240375.png ; $$( n - r ) F$$ ; confidence 1.000
+
66. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240375.png ; $( n - r ) F$ ; confidence 1.000
  
67. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240328.png ; $$H : X _ { 3 } B X _ { 4 } = 0$$ ; confidence 0.914
+
67. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240328.png ; $H : X _ { 3 } B X _ { 4 } = 0$ ; confidence 0.914
  
68. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240508.png ; $$E ( Z _ { 13 } ) = 0$$ ; confidence 0.388
+
68. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240508.png ; $E ( Z _ { 13 } ) = 0$ ; confidence 0.388
  
 
69. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310159.png ; $\Omega$ ; confidence 0.783
 
69. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310159.png ; $\Omega$ ; confidence 0.783
  
70. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010249.png ; $$( A + \delta A ) \hat { x } = \hat { \lambda } \hat { x }$$ ; confidence 0.467
+
70. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010249.png ; $( A + \delta A ) \hat { x } = \hat { \lambda } \hat { x }$ ; confidence 0.467
  
71. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010186.png ; $$A + \delta A$$ ; confidence 0.999
+
71. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010186.png ; $A + \delta A$ ; confidence 0.999
  
72. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010124.png ; $$A A ^ { + } A = A$$ ; confidence 0.999
+
72. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010124.png ; $A A ^ { + } A = A$ ; confidence 0.999
  
73. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010282.png ; $$A _ { i } \in R ^ { n \times n }$$ ; confidence 0.952
+
73. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010282.png ; $A _ { i } \in R ^ { n \times n }$ ; confidence 0.952
  
74. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001016.png ; $$x + \delta x$$ ; confidence 0.997
+
74. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001016.png ; $x + \delta x$ ; confidence 0.997
  
75. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010117.png ; $$A x = b$$ ; confidence 0.981
+
75. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010117.png ; $A x = b$ ; confidence 0.981
  
76. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010138.png ; $$\sigma _ { i } ( A ) - \sigma _ { 1 } ( \delta A ) \leq \sigma _ { i } ( A + \delta A ) \leq \sigma _ { i } ( A ) + \sigma _ { i } ( \delta A )$$ ; confidence 0.987
+
76. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010138.png ; $\sigma _ { i } ( A ) - \sigma _ { 1 } ( \delta A ) \leq \sigma _ { i } ( A + \delta A ) \leq \sigma _ { i } ( A ) + \sigma _ { i } ( \delta A )$ ; confidence 0.987
  
77. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010250.png ; $$A x - \hat { \lambda } x = - \delta A x$$ ; confidence 0.499
+
77. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010250.png ; $A x - \hat { \lambda } x = - \delta A x$ ; confidence 0.499
  
78. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010217.png ; $$1 / | y ^ { i } _ { x ^ { i } } ^ { * }$$ ; confidence 0.245
+
78. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010217.png ; $1 / | y ^ { i } _ { x ^ { i } } ^ { * }$ ; confidence 0.245
  
79. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010278.png ; $$X$$ ; confidence 0.962
+
79. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010278.png ; $X$ ; confidence 0.962
  
80. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010144.png ; $$\frac { \| ( A + \delta A ) ^ { + } - A ^ { + } \| } { \| ( A + \delta A ) ^ { + } \| _ { 2 } } \leq \mu \| A ^ { + } \| _ { 2 } \| \delta A _ { 2 }$$ ; confidence 0.551
+
80. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010144.png ; $\frac { \| ( A + \delta A ) ^ { + } - A ^ { + } \| } { \| ( A + \delta A ) ^ { + } \| _ { 2 } } \leq \mu \| A ^ { + } \| _ { 2 } \| \delta A _ { 2 }$ ; confidence 0.551
  
81. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001037.png ; $$\| \delta b \| \leq \epsilon \| b \|$$ ; confidence 0.440
+
81. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001037.png ; $\| \delta b \| \leq \epsilon \| b \|$ ; confidence 0.440
  
82. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020027.png ; $$3$$ ; confidence 0.899
+
82. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020027.png ; $3$ ; confidence 0.899
  
 
83. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020080.png ; $6$ ; confidence 0.907
 
83. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020080.png ; $6$ ; confidence 0.907
  
84. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020025.png ; $$D : \mathfrak { D } \rightarrow A$$ ; confidence 0.505
+
84. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020025.png ; $D : \mathfrak { D } \rightarrow A$ ; confidence 0.505
  
85. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002020.png ; $$D _ { 2 }$$ ; confidence 0.967
+
85. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002020.png ; $D _ { 2 }$ ; confidence 0.967
  
86. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021067.png ; $$( 1 / z ) d z$$ ; confidence 0.991
+
86. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021067.png ; $( 1 / z ) d z$ ; confidence 0.991
  
87. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210119.png ; $$d [ ( \omega ) ] = 2 g - 2$$ ; confidence 0.588
+
87. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210119.png ; $d [ ( \omega ) ] = 2 g - 2$ ; confidence 0.588
  
88. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022081.png ; $$\alpha _ { j k } = \alpha _ { k l }$$ ; confidence 0.439
+
88. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022081.png ; $\alpha _ { j k } = \alpha _ { k l }$ ; confidence 0.439
  
 
89. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024027.png ; $2$ ; confidence 0.729
 
89. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024027.png ; $2$ ; confidence 0.729
  
90. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024055.png ; $$L \subset F$$ ; confidence 0.990
+
90. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024055.png ; $L \subset F$ ; confidence 0.990
  
91. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024062.png ; $$B i$$ ; confidence 0.539
+
91. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024062.png ; $B i$ ; confidence 0.539
  
92. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024073.png ; $$\omega P _ { i } P _ { j }$$ ; confidence 0.938
+
92. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024073.png ; $\omega P _ { i } P _ { j }$ ; confidence 0.938
  
93. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040185.png ; $$p | D _ { i }$$ ; confidence 0.587
+
93. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040185.png ; $p | D _ { i }$ ; confidence 0.587
  
 
94. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004020.png ; $a$ ; confidence 0.856
 
94. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004020.png ; $a$ ; confidence 0.856
  
95. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040170.png ; $$A$$ ; confidence 0.998
+
95. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040170.png ; $A$ ; confidence 0.998
  
96. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040106.png ; $$L ] = \lambda$$ ; confidence 0.859
+
96. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040106.png ; $L ] = \lambda$ ; confidence 0.859
  
97. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040196.png ; $$\varphi _ { L } : A \rightarrow P ^ { 4 }$$ ; confidence 0.936
+
97. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040196.png ; $\varphi _ { L } : A \rightarrow P ^ { 4 }$ ; confidence 0.936
  
98. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a0101207.png ; $$\sum _ { n = 0 } ^ { \infty } f ^ { ( n ) } ( \lambda _ { n } ) P _ { n } ( z )$$ ; confidence 0.754
+
98. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a0101207.png ; $\sum _ { n = 0 } ^ { \infty } f ^ { ( n ) } ( \lambda _ { n } ) P _ { n } ( z )$ ; confidence 0.754
  
99. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012049.png ; $$A _ { 1 } ^ { * }$$ ; confidence 0.975
+
99. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012049.png ; $A _ { 1 } ^ { * }$ ; confidence 0.975
  
100. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012050.png ; $$z | > 1$$ ; confidence 0.823
+
100. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012050.png ; $z | > 1$ ; confidence 0.823
  
101. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002022.png ; $$F _ { 0 } = f$$ ; confidence 0.979
+
101. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002022.png ; $F _ { 0 } = f$ ; confidence 0.979
  
102. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a1200203.png ; $$A \subset Y$$ ; confidence 0.990
+
102. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a1200203.png ; $A \subset Y$ ; confidence 0.990
  
103. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006029.png ; $$B _ { j } \in B$$ ; confidence 0.414
+
103. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006029.png ; $B _ { j } \in B$ ; confidence 0.414
  
104. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010430/a01043023.png ; $$t \rightarrow \infty$$ ; confidence 0.998
+
104. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010430/a01043023.png ; $t \rightarrow \infty$ ; confidence 0.998
  
105. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004067.png ; $$\psi \in \Gamma$$ ; confidence 1.000
+
105. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004067.png ; $\psi \in \Gamma$ ; confidence 1.000
  
106. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040149.png ; $$\Lambda _ { S 5 } T$$ ; confidence 0.591
+
106. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040149.png ; $\Lambda _ { S 5 } T$ ; confidence 0.591
  
107. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040397.png ; $$\operatorname { Mod } ^ { * } S = \operatorname { Mod } ^ { * } L _ { D }$$ ; confidence 0.117
+
107. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040397.png ; $\operatorname { Mod } ^ { * } S = \operatorname { Mod } ^ { * } L _ { D }$ ; confidence 0.117
  
108. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004089.png ; $$D$$ ; confidence 0.984
+
108. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004089.png ; $D$ ; confidence 0.984
  
109. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040367.png ; $$\tilde { \Omega }$$ ; confidence 0.505
+
109. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040367.png ; $\tilde { \Omega }$ ; confidence 0.505
  
 
110. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040685.png ; $X \in X$ ; confidence 0.278
 
110. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040685.png ; $X \in X$ ; confidence 0.278
  
111. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040442.png ; $$h ^ { - 1 } ( F _ { 0 } )$$ ; confidence 0.995
+
111. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040442.png ; $h ^ { - 1 } ( F _ { 0 } )$ ; confidence 0.995
  
112. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050230.png ; $$A ^ { \# }$$ ; confidence 0.967
+
112. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050230.png ; $A ^ { \# }$ ; confidence 0.967
  
113. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050246.png ; $$Z _ { G } ( - q ^ { - 1 } ) \neq 0$$ ; confidence 0.985
+
113. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050246.png ; $Z _ { G } ( - q ^ { - 1 } ) \neq 0$ ; confidence 0.985
  
114. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010055.png ; $$C _ { W } ( X )$$ ; confidence 0.985
+
114. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010055.png ; $C _ { W } ( X )$ ; confidence 0.985
  
115. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a1101003.png ; $$V$$ ; confidence 0.987
+
115. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a1101003.png ; $V$ ; confidence 0.987
  
116. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050110.png ; $$M$$ ; confidence 0.455
+
116. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050110.png ; $M$ ; confidence 0.455
  
117. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005085.png ; $$0 \leq t _ { 1 } \leq \ldots \leq t _ { k } \leq T$$ ; confidence 0.863
+
117. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005085.png ; $0 \leq t _ { 1 } \leq \ldots \leq t _ { k } \leq T$ ; confidence 0.863
  
118. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a1200608.png ; $$c ( x )$$ ; confidence 0.998
+
118. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a1200608.png ; $c ( x )$ ; confidence 0.998
  
119. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060150.png ; $$P _ { V } ^ { \# } ( n )$$ ; confidence 0.472
+
119. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060150.png ; $P _ { V } ^ { \# } ( n )$ ; confidence 0.472
  
120. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006083.png ; $$\overline { H }$$ ; confidence 0.950
+
120. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006083.png ; $\overline { H }$ ; confidence 0.950
  
121. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a130070121.png ; $$n \equiv a ( \operatorname { mod } b )$$ ; confidence 0.605
+
121. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a130070121.png ; $n \equiv a ( \operatorname { mod } b )$ ; confidence 0.605
  
122. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007057.png ; $$A _ { \alpha } ( x ) = o ( \frac { x } { \operatorname { log } x } )$$ ; confidence 0.911
+
122. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007057.png ; $A _ { \alpha } ( x ) = o ( \frac { x } { \operatorname { log } x } )$ ; confidence 0.911
  
123. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007080.png ; $$\sigma ( n ) > \sigma ( m )$$ ; confidence 0.996
+
123. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007080.png ; $\sigma ( n ) > \sigma ( m )$ ; confidence 0.996
  
124. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007033.png ; $$< 1$$ ; confidence 0.999
+
124. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007033.png ; $< 1$ ; confidence 0.999
  
125. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007083.png ; $$H ( x ) > ( 1 - \varepsilon ) ( \operatorname { log } x ) ^ { 2 }$$ ; confidence 0.997
+
125. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007083.png ; $H ( x ) > ( 1 - \varepsilon ) ( \operatorname { log } x ) ^ { 2 }$ ; confidence 0.997
  
126. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016019.png ; $$x _ { k + 1 } = M ^ { - 1 } ( N x _ { k } + b )$$ ; confidence 0.894
+
126. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016019.png ; $x _ { k + 1 } = M ^ { - 1 } ( N x _ { k } + b )$ ; confidence 0.894
  
127. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016079.png ; $$[ M ^ { - 1 } A ] x = [ M ^ { - 1 } b ]$$ ; confidence 0.783
+
127. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016079.png ; $[ M ^ { - 1 } A ] x = [ M ^ { - 1 } b ]$ ; confidence 0.783
  
128. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016027.png ; $$A = L + D + U$$ ; confidence 0.995
+
128. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016027.png ; $A = L + D + U$ ; confidence 0.995
  
129. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110170/a1101706.png ; $$\phi : \Omega \rightarrow \Omega _ { t }$$ ; confidence 0.989
+
129. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110170/a1101706.png ; $\phi : \Omega \rightarrow \Omega _ { t }$ ; confidence 0.989
  
130. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008083.png ; $$X \leftarrow ( U - 1 / 2 ) / ( \sqrt { ( U - U ^ { 2 } ) } / 2 )$$ ; confidence 0.910
+
130. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008083.png ; $X \leftarrow ( U - 1 / 2 ) / ( \sqrt { ( U - U ^ { 2 } ) } / 2 )$ ; confidence 0.910
  
131. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008058.png ; $$X \leftarrow m + s ( U _ { 1 } + U _ { 2 } - 1 )$$ ; confidence 0.929
+
131. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008058.png ; $X \leftarrow m + s ( U _ { 1 } + U _ { 2 } - 1 )$ ; confidence 0.929
  
132. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a110220101.png ; $$R ( f )$$ ; confidence 1.000
+
132. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a110220101.png ; $R ( f )$ ; confidence 1.000
  
133. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a110220112.png ; $$\int _ { H } f d m = \int _ { \Omega } R _ { 1 } f d P _ { 1 } = \int _ { \Omega } R _ { 2 } f d P _ { 2 }$$ ; confidence 0.794
+
133. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a110220112.png ; $\int _ { H } f d m = \int _ { \Omega } R _ { 1 } f d P _ { 1 } = \int _ { \Omega } R _ { 2 } f d P _ { 2 }$ ; confidence 0.794
  
134. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a1201008.png ; $$y ( 0 ) = x$$ ; confidence 0.978
+
134. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a1201008.png ; $y ( 0 ) = x$ ; confidence 0.978
  
135. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010079.png ; $$( I + \lambda A )$$ ; confidence 0.992
+
135. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010079.png ; $( I + \lambda A )$ ; confidence 0.992
  
136. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055060.png ; $$\partial X ^ { \prime \prime }$$ ; confidence 0.986
+
136. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055060.png ; $\partial X ^ { \prime \prime }$ ; confidence 0.986
  
137. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012069.png ; $$p ^ { * } y \leq \lambda ^ { * } p ^ { * } x$$ ; confidence 0.875
+
137. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012069.png ; $p ^ { * } y \leq \lambda ^ { * } p ^ { * } x$ ; confidence 0.875
  
138. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012024.png ; $$7$$ ; confidence 0.986
+
138. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012024.png ; $7$ ; confidence 0.986
  
139. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012049.png ; $$x ^ { \prime } > x$$ ; confidence 0.689
+
139. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012049.png ; $x ^ { \prime } > x$ ; confidence 0.689
  
140. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028017.png ; $$l ( D ) \geq \chi ( G ) - 1$$ ; confidence 0.970
+
140. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028017.png ; $l ( D ) \geq \chi ( G ) - 1$ ; confidence 0.970
  
141. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028064.png ; $$\chi ( G ) < \operatorname { girth } ( G )$$ ; confidence 0.791
+
141. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028064.png ; $\chi ( G ) < \operatorname { girth } ( G )$ ; confidence 0.791
  
142. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032019.png ; $$z \rightarrow 0$$ ; confidence 0.986
+
142. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032019.png ; $z \rightarrow 0$ ; confidence 0.986
  
143. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a1201308.png ; $$m$$ ; confidence 0.259
+
143. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a1201308.png ; $m$ ; confidence 0.259
  
144. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110330/a11033016.png ; $$N p$$ ; confidence 0.998
+
144. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110330/a11033016.png ; $N p$ ; confidence 0.998
  
 
145. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010600/a01060019.png ; $H _ { \hat { j } }$ ; confidence 0.205
 
145. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010600/a01060019.png ; $H _ { \hat { j } }$ ; confidence 0.205
  
146. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010640/a01064020.png ; $$d ( m )$$ ; confidence 0.930
+
146. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010640/a01064020.png ; $d ( m )$ ; confidence 0.930
  
147. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010640/a01064015.png ; $$k _ { 1 } = 2$$ ; confidence 0.992
+
147. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010640/a01064015.png ; $k _ { 1 } = 2$ ; confidence 0.992
  
148. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010700/a01070020.png ; $$\beta : S \rightarrow B / L$$ ; confidence 0.984
+
148. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010700/a01070020.png ; $\beta : S \rightarrow B / L$ ; confidence 0.984
  
149. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110360/a11036013.png ; $$n > 1$$ ; confidence 0.998
+
149. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110360/a11036013.png ; $n > 1$ ; confidence 0.998
  
150. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010710/a01071024.png ; $$A = A _ { 1 } \cap \ldots \cap A _ { n }$$ ; confidence 0.254
+
150. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010710/a01071024.png ; $A = A _ { 1 } \cap \ldots \cap A _ { n }$ ; confidence 0.254
  
151. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110380/a11038041.png ; $$\approx 3$$ ; confidence 0.590
+
151. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110380/a11038041.png ; $\approx 3$ ; confidence 0.590
  
152. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110380/a11038040.png ; $$\sim 2$$ ; confidence 0.512
+
152. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110380/a11038040.png ; $\sim 2$ ; confidence 0.512
  
153. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015047.png ; $$\operatorname { ad } X$$ ; confidence 0.415
+
153. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015047.png ; $\operatorname { ad } X$ ; confidence 0.415
  
154. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015069.png ; $$\mathfrak { a } / W$$ ; confidence 0.438
+
154. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015069.png ; $\mathfrak { a } / W$ ; confidence 0.438
  
155. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015019.png ; $$( g )$$ ; confidence 0.376
+
155. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015019.png ; $( g )$ ; confidence 0.376
  
156. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081095.png ; $$\lambda \neq \mu$$ ; confidence 0.997
+
156. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081095.png ; $\lambda \neq \mu$ ; confidence 0.997
  
157. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081069.png ; $$U _ { j } ^ { * } ( \xi )$$ ; confidence 0.987
+
157. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081069.png ; $U _ { j } ^ { * } ( \xi )$ ; confidence 0.987
  
158. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010820/a01082073.png ; $$X \in Ob \odot$$ ; confidence 0.251
+
158. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010820/a01082073.png ; $X \in Ob \odot$ ; confidence 0.251
  
159. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010840/a01084029.png ; $$l \mapsto ( . l )$$ ; confidence 0.425
+
159. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010840/a01084029.png ; $l \mapsto ( . l )$ ; confidence 0.425
  
160. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110400/a11040023.png ; $$T ^ { * }$$ ; confidence 0.984
+
160. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110400/a11040023.png ; $T ^ { * }$ ; confidence 0.984
  
161. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110410/a11041070.png ; $$K _ { X } ^ { v } \otimes L ^ { i }$$ ; confidence 0.368
+
161. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110410/a11041070.png ; $K _ { X } ^ { v } \otimes L ^ { i }$ ; confidence 0.368
  
162. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016064.png ; $$\lambda < 1$$ ; confidence 0.995
+
162. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016064.png ; $\lambda < 1$ ; confidence 0.995
  
163. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a120160130.png ; $$W E = R . F . I$$ ; confidence 0.845
+
163. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a120160130.png ; $W E = R . F . I$ ; confidence 0.845
  
164. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016079.png ; $$1 / ( 1 - \lambda )$$ ; confidence 0.977
+
164. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016079.png ; $1 / ( 1 - \lambda )$ ; confidence 0.977
  
165. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010950/a01095099.png ; $$X = \xi ^ { i }$$ ; confidence 0.662
+
165. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010950/a01095099.png ; $X = \xi ^ { i }$ ; confidence 0.662
  
166. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011050/a01105018.png ; $$f \times ( O _ { X } )$$ ; confidence 0.620
+
166. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011050/a01105018.png ; $f \times ( O _ { X } )$ ; confidence 0.620
  
167. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017016.png ; $$b ( t ) = F ( t ) + \int _ { 0 } ^ { t } K ( t - s ) b ( s ) d s$$ ; confidence 0.998
+
167. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017016.png ; $b ( t ) = F ( t ) + \int _ { 0 } ^ { t } K ( t - s ) b ( s ) d s$ ; confidence 0.998
  
168. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a0112107.png ; $$\operatorname { Ai } ( x )$$ ; confidence 0.619
+
168. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a0112107.png ; $\operatorname { Ai } ( x )$ ; confidence 0.619
  
169. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a011210114.png ; $$w ^ { \prime \prime } ( z ) = z w ( z )$$ ; confidence 0.701
+
169. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a011210114.png ; $w ^ { \prime \prime } ( z ) = z w ( z )$ ; confidence 0.701
  
170. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120180/a12018084.png ; $$10 ^ { 16 }$$ ; confidence 1.000
+
170. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120180/a12018084.png ; $10 ^ { 16 }$ ; confidence 1.000
  
171. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a01130060.png ; $$\gamma m$$ ; confidence 0.719
+
171. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a01130060.png ; $\gamma m$ ; confidence 0.719
  
172. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a01137073.png ; $$\{ U _ { i } \}$$ ; confidence 0.984
+
172. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a01137073.png ; $\{ U _ { i } \}$ ; confidence 0.984
  
173. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a011370171.png ; $$f ( \psi ( z ) )$$ ; confidence 0.994
+
173. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a011370171.png ; $f ( \psi ( z ) )$ ; confidence 0.994
  
174. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a01137088.png ; $$\int _ { - \infty } ^ { + \infty } \operatorname { ln } \| \operatorname { exp } ( i t f _ { \alpha } ) \| \frac { d t } { 1 + t ^ { 2 } } < \infty$$ ; confidence 0.982
+
174. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a01137088.png ; $\int _ { - \infty } ^ { + \infty } \operatorname { ln } \| \operatorname { exp } ( i t f _ { \alpha } ) \| \frac { d t } { 1 + t ^ { 2 } } < \infty$ ; confidence 0.982
  
175. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011390/a01139015.png ; $$\mu _ { f } ( E ) = \int _ { E } f d x$$ ; confidence 0.622
+
175. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011390/a01139015.png ; $\mu _ { f } ( E ) = \int _ { E } f d x$ ; confidence 0.622
  
176. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110490/a1104901.png ; $$D = d / d t$$ ; confidence 0.954
+
176. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110490/a1104901.png ; $D = d / d t$ ; confidence 0.954
  
177. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450195.png ; $$C / \Omega$$ ; confidence 0.538
+
177. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450195.png ; $C / \Omega$ ; confidence 0.538
  
178. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a0114501.png ; $$A _ { k } ^ { 2 }$$ ; confidence 0.983
+
178. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a0114501.png ; $A _ { k } ^ { 2 }$ ; confidence 0.983
  
179. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a01146020.png ; $$( 2 n - 2 p )$$ ; confidence 1.000
+
179. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a01146020.png ; $( 2 n - 2 p )$ ; confidence 1.000
  
180. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a011460108.png ; $$x \in A ^ { p } ( X ) = A ^ { * } ( X ) \cap H ^ { 2 p } ( X )$$ ; confidence 0.669
+
180. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a011460108.png ; $x \in A ^ { p } ( X ) = A ^ { * } ( X ) \cap H ^ { 2 p } ( X )$ ; confidence 0.669
  
181. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a01146029.png ; $$p = n - 1$$ ; confidence 0.999
+
181. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a01146029.png ; $p = n - 1$ ; confidence 0.999
  
182. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a01149058.png ; $$D ( x _ { 0 } ) = 0$$ ; confidence 0.998
+
182. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a01149058.png ; $D ( x _ { 0 } ) = 0$ ; confidence 0.998
  
183. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150079.png ; $$x _ { 0 } ^ { 3 } x _ { 1 } + x _ { 1 } ^ { 3 } x _ { 2 } + x _ { 2 } ^ { 3 } x _ { 0 } = 0$$ ; confidence 0.999
+
183. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150079.png ; $x _ { 0 } ^ { 3 } x _ { 1 } + x _ { 1 } ^ { 3 } x _ { 2 } + x _ { 2 } ^ { 3 } x _ { 0 } = 0$ ; confidence 0.999
  
184. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011520/a01152034.png ; $$\tau : G \times V \rightarrow V$$ ; confidence 0.995
+
184. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011520/a01152034.png ; $\tau : G \times V \rightarrow V$ ; confidence 0.995
  
185. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011520/a01152028.png ; $$G _ { X } = \{ g \in G : g x = x \}$$ ; confidence 0.901
+
185. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011520/a01152028.png ; $G _ { X } = \{ g \in G : g x = x \}$ ; confidence 0.901
  
186. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011520/a01152036.png ; $$V ^ { 1 }$$ ; confidence 0.987
+
186. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011520/a01152036.png ; $V ^ { 1 }$ ; confidence 0.987
  
187. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018015.png ; $$\tau \in V o c$$ ; confidence 0.532
+
187. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018015.png ; $\tau \in V o c$ ; confidence 0.532
  
188. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600189.png ; $$( K / k )$$ ; confidence 0.875
+
188. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600189.png ; $( K / k )$ ; confidence 0.875
  
189. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600128.png ; $$f _ { 1 } = \ldots = f _ { m }$$ ; confidence 0.889
+
189. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600128.png ; $f _ { 1 } = \ldots = f _ { m }$ ; confidence 0.889
  
190. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600249.png ; $$L / K$$ ; confidence 0.986
+
190. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600249.png ; $L / K$ ; confidence 0.986
  
191. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600198.png ; $$N _ { 0 }$$ ; confidence 0.151
+
191. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600198.png ; $N _ { 0 }$ ; confidence 0.151
  
192. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600163.png ; $$1 \leq h _ { m } \leq h . \phi ( m )$$ ; confidence 0.774
+
192. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600163.png ; $1 \leq h _ { m } \leq h . \phi ( m )$ ; confidence 0.774
  
193. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011620/a01162010.png ; $$f ( x ) - P _ { n } ^ { 0 } ( x )$$ ; confidence 0.810
+
193. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011620/a01162010.png ; $f ( x ) - P _ { n } ^ { 0 } ( x )$ ; confidence 0.810
  
194. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164040.png ; $$q ( V )$$ ; confidence 0.977
+
194. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164040.png ; $q ( V )$ ; confidence 0.977
  
195. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164014.png ; $$| K _ { i } | = | i K _ { V ^ { J } } |$$ ; confidence 0.620
+
195. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164014.png ; $| K _ { i } | = | i K _ { V ^ { J } } |$ ; confidence 0.620
  
196. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640127.png ; $$M = 10 p _ { t x } - p _ { g } - 2 p ^ { ( 1 ) } + 12 + \theta$$ ; confidence 0.369
+
196. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640127.png ; $M = 10 p _ { t x } - p _ { g } - 2 p ^ { ( 1 ) } + 12 + \theta$ ; confidence 0.369
  
197. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640155.png ; $$p _ { g } \neq 1$$ ; confidence 0.708
+
197. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640155.png ; $p _ { g } \neq 1$ ; confidence 0.708
  
198. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a01165079.png ; $$H$$ ; confidence 0.957
+
198. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a01165079.png ; $H$ ; confidence 0.957
  
199. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650288.png ; $$m = \nu ( P )$$ ; confidence 0.995
+
199. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650288.png ; $m = \nu ( P )$ ; confidence 0.995
  
200. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a01165078.png ; $$H \times H \rightarrow H$$ ; confidence 0.989
+
200. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a01165078.png ; $H \times H \rightarrow H$ ; confidence 0.989
  
201. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650412.png ; $$A _ { \alpha } \subseteq A$$ ; confidence 0.993
+
201. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650412.png ; $A _ { \alpha } \subseteq A$ ; confidence 0.993
  
202. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650252.png ; $$\forall x _ { k }$$ ; confidence 0.834
+
202. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650252.png ; $\forall x _ { k }$ ; confidence 0.834
  
203. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650408.png ; $$\Omega _ { p } ^ { * } = \Omega _ { p } \cup \{ F _ { i } ^ { * } : F _ { i } \in \Omega _ { f } \}$$ ; confidence 0.985
+
203. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650408.png ; $\Omega _ { p } ^ { * } = \Omega _ { p } \cup \{ F _ { i } ^ { * } : F _ { i } \in \Omega _ { f } \}$ ; confidence 0.985
  
204. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011690/a01169071.png ; $$L _ { \Omega }$$ ; confidence 0.997
+
204. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011690/a01169071.png ; $L _ { \Omega }$ ; confidence 0.997
  
205. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011720/a01172012.png ; $$\operatorname { Red } : X ( K ) \rightarrow X _ { 0 } ( k )$$ ; confidence 0.991
+
205. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011720/a01172012.png ; $\operatorname { Red } : X ( K ) \rightarrow X _ { 0 } ( k )$ ; confidence 0.991
  
206. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011780/a01178066.png ; $$p \in C$$ ; confidence 0.958
+
206. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011780/a01178066.png ; $p \in C$ ; confidence 0.958
  
207. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011780/a01178016.png ; $$b a P$$ ; confidence 0.779
+
207. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011780/a01178016.png ; $b a P$ ; confidence 0.779
  
208. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011820/a011820124.png ; $$M \times N$$ ; confidence 0.757
+
208. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011820/a011820124.png ; $M \times N$ ; confidence 0.757
  
209. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011970/a01197046.png ; $$U - \text { a.p. } \subset S ^ { p } - \text { a.p. } \subset W ^ { p } - \text { a.p. } \subset B ^ { p } - \text { a.p. } \quad p \geq 1$$ ; confidence 0.179
+
209. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011970/a01197046.png ; $U - \text { a.p. } \subset S ^ { p } - \text { a.p. } \subset W ^ { p } - \text { a.p. } \subset B ^ { p } - \text { a.p. } \quad p \geq 1$ ; confidence 0.179
  
210. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011980/a01198058.png ; $$\{ f ( x ) \overline { \phi } _ { \lambda } ( x ) \}$$ ; confidence 0.564
+
210. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011980/a01198058.png ; $\{ f ( x ) \overline { \phi } _ { \lambda } ( x ) \}$ ; confidence 0.564
  
211. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011990/a0119906.png ; $$\pi _ { k } ( x )$$ ; confidence 0.899
+
211. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011990/a0119906.png ; $\pi _ { k } ( x )$ ; confidence 0.899
  
212. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130220/a13022025.png ; $$i : A \rightarrow X$$ ; confidence 0.601
+
212. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130220/a13022025.png ; $i : A \rightarrow X$ ; confidence 0.601
  
213. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110540/a11054026.png ; $$O ( n ^ { 2 } \operatorname { log } n )$$ ; confidence 0.568
+
213. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110540/a11054026.png ; $O ( n ^ { 2 } \operatorname { log } n )$ ; confidence 0.568
  
214. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130230/a13023028.png ; $$f _ { 1 } = ( P _ { n } \ldots P _ { 1 } ) ^ { 1 } f$$ ; confidence 0.568
+
214. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130230/a13023028.png ; $f _ { 1 } = ( P _ { n } \ldots P _ { 1 } ) ^ { 1 } f$ ; confidence 0.568
  
215. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130230/a13023034.png ; $$\| f _ { 1 } - P _ { U \cap V ^ { J } } f \| \leq c ^ { 2 l - 1 } \| f \|$$ ; confidence 0.287
+
215. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130230/a13023034.png ; $\| f _ { 1 } - P _ { U \cap V ^ { J } } f \| \leq c ^ { 2 l - 1 } \| f \|$ ; confidence 0.287
  
216. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130230/a13023032.png ; $$1 \rightarrow \infty$$ ; confidence 0.982
+
216. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130230/a13023032.png ; $1 \rightarrow \infty$ ; confidence 0.982
  
217. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012040/a01204016.png ; $$\partial M ^ { n + 1 } = K ^ { n }$$ ; confidence 0.516
+
217. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012040/a01204016.png ; $\partial M ^ { n + 1 } = K ^ { n }$ ; confidence 0.516
  
218. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012040/a01204017.png ; $$X \subset Y$$ ; confidence 0.590
+
218. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012040/a01204017.png ; $X \subset Y$ ; confidence 0.590
  
219. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012090/a0120907.png ; $$\alpha \neq 0$$ ; confidence 0.947
+
219. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012090/a0120907.png ; $\alpha \neq 0$ ; confidence 0.947
  
220. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012090/a01209091.png ; $$N ( R ) \neq 0$$ ; confidence 0.997
+
220. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012090/a01209091.png ; $N ( R ) \neq 0$ ; confidence 0.997
  
221. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012090/a01209097.png ; $$Z ( A ) = A \cap Z ( R )$$ ; confidence 0.998
+
221. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012090/a01209097.png ; $Z ( A ) = A \cap Z ( R )$ ; confidence 0.998
  
222. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012100/a01210023.png ; $$| \alpha | = \sqrt { \overline { \alpha } \alpha }$$ ; confidence 0.964
+
222. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012100/a01210023.png ; $| \alpha | = \sqrt { \overline { \alpha } \alpha }$ ; confidence 0.964
  
223. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012120/a01212040.png ; $$\alpha _ { i } + 1$$ ; confidence 0.659
+
223. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012120/a01212040.png ; $\alpha _ { i } + 1$ ; confidence 0.659
  
224. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012160/a0121604.png ; $$\phi = \operatorname { am } z$$ ; confidence 0.783
+
224. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012160/a0121604.png ; $\phi = \operatorname { am } z$ ; confidence 0.783
  
225. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110580/a11058047.png ; $$= v : q$$ ; confidence 0.846
+
225. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110580/a11058047.png ; $= v : q$ ; confidence 0.846
  
226. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120230/a12023068.png ; $$c _ { q }$$ ; confidence 0.425
+
226. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120230/a12023068.png ; $c _ { q }$ ; confidence 0.425
  
227. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120230/a1202303.png ; $$f \in C ( \partial D )$$ ; confidence 0.993
+
227. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120230/a1202303.png ; $f \in C ( \partial D )$ ; confidence 0.993
  
228. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012210/a01221035.png ; $$f ( t ) = \psi ( \phi ( t ) )$$ ; confidence 0.999
+
228. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012210/a01221035.png ; $f ( t ) = \psi ( \phi ( t ) )$ ; confidence 0.999
  
229. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012250/a01225011.png ; $$R > 0$$ ; confidence 1.000
+
229. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012250/a01225011.png ; $R > 0$ ; confidence 1.000
  
230. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012330/a01233050.png ; $$x <$$ ; confidence 0.424
+
230. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012330/a01233050.png ; $x <$ ; confidence 0.424
  
231. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012340/a01234035.png ; $$a \in V$$ ; confidence 0.699
+
231. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012340/a01234035.png ; $a \in V$ ; confidence 0.699
  
232. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012410/a012410135.png ; $$f ( S )$$ ; confidence 0.968
+
232. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012410/a012410135.png ; $f ( S )$ ; confidence 0.968
  
233. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012410/a01241063.png ; $$s = s ^ { * } \cup ( s \backslash s ^ { * } ) ^ { * } U \ldots$$ ; confidence 0.271
+
233. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012410/a01241063.png ; $s = s ^ { * } \cup ( s \backslash s ^ { * } ) ^ { * } U \ldots$ ; confidence 0.271
  
234. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012410/a012410141.png ; $$R ^ { n } \subset C ^ { k }$$ ; confidence 0.407
+
234. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012410/a012410141.png ; $R ^ { n } \subset C ^ { k }$ ; confidence 0.407
  
235. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012430/a01243088.png ; $$f$$ ; confidence 0.816
+
235. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012430/a01243088.png ; $f$ ; confidence 0.816
  
236. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012430/a012430100.png ; $$I Y \subset O$$ ; confidence 0.739
+
236. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012430/a012430100.png ; $I Y \subset O$ ; confidence 0.739
  
237. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012460/a012460130.png ; $$X \equiv 0$$ ; confidence 0.220
+
237. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012460/a012460130.png ; $X \equiv 0$ ; confidence 0.220
  
238. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110600/a11060013.png ; $$0.96$$ ; confidence 1.000
+
238. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110600/a11060013.png ; $0.96$ ; confidence 1.000
  
239. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012550/a01255032.png ; $$\Gamma _ { n } ^ { \alpha } ( H ) _ { \alpha } ^ { 8 }$$ ; confidence 0.595
+
239. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012550/a01255032.png ; $\Gamma _ { n } ^ { \alpha } ( H ) _ { \alpha } ^ { 8 }$ ; confidence 0.595
  
240. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110610/a110610171.png ; $$h \in \operatorname { Diff } ^ { + } ( M )$$ ; confidence 0.591
+
240. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110610/a110610171.png ; $h \in \operatorname { Diff } ^ { + } ( M )$ ; confidence 0.591
  
241. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110610/a110610104.png ; $$Z = \int _ { A } D A \sqrt { \operatorname { det } ( / \partial _ { A } ^ { * } / \partial _ { A } ) } \operatorname { exp } [ - \| F \| ^ { 2 } ]$$ ; confidence 0.921
+
241. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110610/a110610104.png ; $Z = \int _ { A } D A \sqrt { \operatorname { det } ( / \partial _ { A } ^ { * } / \partial _ { A } ) } \operatorname { exp } [ - \| F \| ^ { 2 } ]$ ; confidence 0.921
  
242. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110630/a11063032.png ; $$\rho _ { 0 n + } = \operatorname { sin } A$$ ; confidence 0.354
+
242. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110630/a11063032.png ; $\rho _ { 0 n + } = \operatorname { sin } A$ ; confidence 0.354
  
243. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012800/a01280065.png ; $$\times \frac { \partial ^ { m + n } } { \partial x ^ { m } \partial y ^ { n } } [ x ^ { \gamma + m - 1 } y ^ { \prime } + n - 1 _ { ( 1 - x - y ) } \alpha + w + n - \gamma - \gamma ^ { \prime } ]$$ ; confidence 0.072
+
243. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012800/a01280065.png ; $\times \frac { \partial ^ { m + n } } { \partial x ^ { m } \partial y ^ { n } } [ x ^ { \gamma + m - 1 } y ^ { \prime } + n - 1 _ { ( 1 - x - y ) } \alpha + w + n - \gamma - \gamma ^ { \prime } ]$ ; confidence 0.072
  
244. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012930/a01293027.png ; $$L u \equiv \frac { \partial u } { \partial t } - \frac { \partial ^ { 2 } u } { \partial x ^ { 2 } } = 0$$ ; confidence 0.607
+
244. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012930/a01293027.png ; $L u \equiv \frac { \partial u } { \partial t } - \frac { \partial ^ { 2 } u } { \partial x ^ { 2 } } = 0$ ; confidence 0.607
  
245. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012940/a01294080.png ; $$F _ { b }$$ ; confidence 0.450
+
245. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012940/a01294080.png ; $F _ { b }$ ; confidence 0.450
  
246. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012940/a01294081.png ; $$f \in F$$ ; confidence 0.988
+
246. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012940/a01294081.png ; $f \in F$ ; confidence 0.988
  
247. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012950/a012950197.png ; $$( L _ { 2 } )$$ ; confidence 0.999
+
247. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012950/a012950197.png ; $( L _ { 2 } )$ ; confidence 0.999
  
248. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012960/a01296094.png ; $$n > r$$ ; confidence 0.999
+
248. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012960/a01296094.png ; $n > r$ ; confidence 0.999
  
249. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012970/a012970198.png ; $$\hat { W } \square _ { \infty } ^ { \gamma }$$ ; confidence 0.199
+
249. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012970/a012970198.png ; $\hat { W } \square _ { \infty } ^ { \gamma }$ ; confidence 0.199
  
250. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012970/a012970176.png ; $$d _ { 2 n - 1 } = d _ { 2 n }$$ ; confidence 0.797
+
250. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012970/a012970176.png ; $d _ { 2 n - 1 } = d _ { 2 n }$ ; confidence 0.797
  
251. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012970/a012970129.png ; $$S _ { 2 } ^ { \gamma }$$ ; confidence 0.562
+
251. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012970/a012970129.png ; $S _ { 2 } ^ { \gamma }$ ; confidence 0.562
  
252. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012970/a012970196.png ; $$m \geq r$$ ; confidence 0.999
+
252. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012970/a012970196.png ; $m \geq r$ ; confidence 0.999
  
253. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012970/a01297077.png ; $$\operatorname { inf } _ { u \in \mathfrak { N } } \| x - u \| = \operatorname { sup } _ { F \in X ^ { * } } [ F ( x ) - \operatorname { sup } _ { u \in \mathfrak { N } } F ( u ) ]$$ ; confidence 0.144
+
253. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012970/a01297077.png ; $\operatorname { inf } _ { u \in \mathfrak { N } } \| x - u \| = \operatorname { sup } _ { F \in X ^ { * } } [ F ( x ) - \operatorname { sup } _ { u \in \mathfrak { N } } F ( u ) ]$ ; confidence 0.144
  
254. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012970/a012970244.png ; $$L ( f )$$ ; confidence 0.998
+
254. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012970/a012970244.png ; $L ( f )$ ; confidence 0.998
  
255. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012980/a01298030.png ; $$\phi _ { k } ( t _ { k } ) = 1$$ ; confidence 0.994
+
255. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012980/a01298030.png ; $\phi _ { k } ( t _ { k } ) = 1$ ; confidence 0.994
  
256. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012980/a01298033.png ; $$X = H$$ ; confidence 0.599
+
256. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012980/a01298033.png ; $X = H$ ; confidence 0.599
  
257. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013000/a01300068.png ; $$P _ { 0 } ( z )$$ ; confidence 0.963
+
257. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013000/a01300068.png ; $P _ { 0 } ( z )$ ; confidence 0.963
  
258. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013000/a01300057.png ; $$L _ { p } ( E )$$ ; confidence 0.872
+
258. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013000/a01300057.png ; $L _ { p } ( E )$ ; confidence 0.872
  
259. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013000/a01300016.png ; $$\operatorname { deg } P \leq n$$ ; confidence 0.996
+
259. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013000/a01300016.png ; $\operatorname { deg } P \leq n$ ; confidence 0.996
  
260. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013010/a01301081.png ; $$D ^ { 0 } f = f$$ ; confidence 0.998
+
260. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013010/a01301081.png ; $D ^ { 0 } f = f$ ; confidence 0.998
  
261. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130270/a13027051.png ; $$\{ x _ { n j } ^ { \prime } \}$$ ; confidence 0.273
+
261. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130270/a13027051.png ; $\{ x _ { n j } ^ { \prime } \}$ ; confidence 0.273
  
262. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013030/a01303027.png ; $$\operatorname { sup } _ { x \in \mathfrak { M } } \| x - A x \|$$ ; confidence 0.679
+
262. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013030/a01303027.png ; $\operatorname { sup } _ { x \in \mathfrak { M } } \| x - A x \|$ ; confidence 0.679
  
263. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013170/a01317026.png ; $$y _ { t } = t - S _ { \eta _ { t } }$$ ; confidence 0.968
+
263. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013170/a01317026.png ; $y _ { t } = t - S _ { \eta _ { t } }$ ; confidence 0.968
  
264. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013180/a013180116.png ; $$H _ { k + 1 } ( f ( M ) )$$ ; confidence 0.998
+
264. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013180/a013180116.png ; $H _ { k + 1 } ( f ( M ) )$ ; confidence 0.998
  
265. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013180/a013180158.png ; $$\| T _ { M } \|$$ ; confidence 0.918
+
265. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013180/a013180158.png ; $\| T _ { M } \|$ ; confidence 0.918
  
266. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013220/a0132202.png ; $$F ( z ) = z + \alpha _ { 0 } + \frac { \alpha _ { 1 } } { z } + \ldots$$ ; confidence 0.619
+
266. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013220/a0132202.png ; $F ( z ) = z + \alpha _ { 0 } + \frac { \alpha _ { 1 } } { z } + \ldots$ ; confidence 0.619
  
267. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013220/a01322017.png ; $$\overline { B } = C F ( \Delta ^ { \prime } )$$ ; confidence 0.999
+
267. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013220/a01322017.png ; $\overline { B } = C F ( \Delta ^ { \prime } )$ ; confidence 0.999
  
268. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110660/a11066057.png ; $$1 ^ { 1 } = 1 ^ { 1 } ( N )$$ ; confidence 0.689
+
268. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110660/a11066057.png ; $1 ^ { 1 } = 1 ^ { 1 } ( N )$ ; confidence 0.689
  
269. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a11068093.png ; $$L f \theta$$ ; confidence 0.169
+
269. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a11068093.png ; $L f \theta$ ; confidence 0.169
  
270. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680125.png ; $$p / p$$ ; confidence 0.977
+
270. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680125.png ; $p / p$ ; confidence 0.977
  
271. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680195.png ; $$b _ { i } = \alpha _ { i } \alpha _ { 1 }$$ ; confidence 0.437
+
271. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680195.png ; $b _ { i } = \alpha _ { i } \alpha _ { 1 }$ ; confidence 0.437
  
272. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a11068053.png ; $$r ^ { \prime } < r$$ ; confidence 0.977
+
272. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a11068053.png ; $r ^ { \prime } < r$ ; confidence 0.977
  
273. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a11068076.png ; $$\alpha \geq b$$ ; confidence 0.978
+
273. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a11068076.png ; $\alpha \geq b$ ; confidence 0.978
  
274. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680200.png ; $$r$$ ; confidence 0.805
+
274. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680200.png ; $r$ ; confidence 0.805
  
275. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680179.png ; $$\phi _ { x y } a \leq b$$ ; confidence 0.847
+
275. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680179.png ; $\phi _ { x y } a \leq b$ ; confidence 0.847
  
276. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013250/a01325016.png ; $$\operatorname { Arg } f$$ ; confidence 0.692
+
276. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013250/a01325016.png ; $\operatorname { Arg } f$ ; confidence 0.692
  
277. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013250/a01325046.png ; $$0 \notin f ( \partial D )$$ ; confidence 0.904
+
277. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013250/a01325046.png ; $0 \notin f ( \partial D )$ ; confidence 0.904
  
278. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013250/a01325015.png ; $$\operatorname { arg } f$$ ; confidence 0.862
+
278. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013250/a01325015.png ; $\operatorname { arg } f$ ; confidence 0.862
  
279. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110700/a11070050.png ; $$\beta ( A )$$ ; confidence 0.999
+
279. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110700/a11070050.png ; $\beta ( A )$ ; confidence 0.999
  
280. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110700/a11070056.png ; $$M ( A ) = V \backslash N ( A )$$ ; confidence 0.983
+
280. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110700/a11070056.png ; $M ( A ) = V \backslash N ( A )$ ; confidence 0.983
  
281. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110700/a11070080.png ; $$\Omega ^ { p } [ V ]$$ ; confidence 0.985
+
281. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110700/a11070080.png ; $\Omega ^ { p } [ V ]$ ; confidence 0.985
  
282. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120280/a120280141.png ; $$S _ { E } = \{ \omega \in \hat { G } : E + \omega \subseteq E \}$$ ; confidence 0.881
+
282. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120280/a120280141.png ; $S _ { E } = \{ \omega \in \hat { G } : E + \omega \subseteq E \}$ ; confidence 0.881
  
283. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013570/a01357020.png ; $$g ( u ) d u$$ ; confidence 0.997
+
283. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013570/a01357020.png ; $g ( u ) d u$ ; confidence 0.997
  
284. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013590/a01359029.png ; $$\Phi ^ { ( 3 ) } ( x )$$ ; confidence 0.986
+
284. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013590/a01359029.png ; $\Phi ^ { ( 3 ) } ( x )$ ; confidence 0.986
  
285. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013670/a01367016.png ; $$J _ { \nu } ( x ) \sim \sqrt { \frac { 2 } { \pi x } } [ \operatorname { cos } ( x - \frac { \pi \nu } { 2 } - \frac { \pi } { 4 } ) \sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } \alpha _ { 2 n } x ^ { - 2 n }$$ ; confidence 0.755
+
285. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013670/a01367016.png ; $J _ { \nu } ( x ) \sim \sqrt { \frac { 2 } { \pi x } } [ \operatorname { cos } ( x - \frac { \pi \nu } { 2 } - \frac { \pi } { 4 } ) \sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } \alpha _ { 2 n } x ^ { - 2 n }$ ; confidence 0.755
  
286. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013670/a0136709.png ; $$f ( x ) \sim \sum _ { n = 0 } ^ { \infty } a _ { n } \phi _ { n } ( x ) \quad ( x \rightarrow x _ { 0 } )$$ ; confidence 0.754
+
286. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013670/a0136709.png ; $f ( x ) \sim \sum _ { n = 0 } ^ { \infty } a _ { n } \phi _ { n } ( x ) \quad ( x \rightarrow x _ { 0 } )$ ; confidence 0.754
  
287. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110790/a11079027.png ; $$M \subset G$$ ; confidence 0.949
+
287. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110790/a11079027.png ; $M \subset G$ ; confidence 0.949
  
288. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130290/a13029066.png ; $$Y$$ ; confidence 0.441
+
288. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130290/a13029066.png ; $Y$ ; confidence 0.441
  
289. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130290/a13029031.png ; $$P \rightarrow \Sigma$$ ; confidence 0.991
+
289. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130290/a13029031.png ; $P \rightarrow \Sigma$ ; confidence 0.991
  
290. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013980/a01398016.png ; $$f ( \lambda ) = ( \frac { \sigma ^ { 2 } } { 2 \pi } ) | \phi ( e ^ { i \lambda } ) | ^ { - 2 }$$ ; confidence 0.996
+
290. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013980/a01398016.png ; $f ( \lambda ) = ( \frac { \sigma ^ { 2 } } { 2 \pi } ) | \phi ( e ^ { i \lambda } ) | ^ { - 2 }$ ; confidence 0.996
  
291. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a01406076.png ; $$\mathfrak { A } _ { s _ { 1 } }$$ ; confidence 0.833
+
291. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a01406076.png ; $\mathfrak { A } _ { s _ { 1 } }$ ; confidence 0.833
  
292. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a014060256.png ; $$A = S ^ { \prime }$$ ; confidence 0.502
+
292. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a014060256.png ; $A = S ^ { \prime }$ ; confidence 0.502
  
293. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a01406028.png ; $$20$$ ; confidence 0.906
+
293. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a01406028.png ; $20$ ; confidence 0.906
  
294. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a014060135.png ; $$W _ { N } \rightarrow W _ { n }$$ ; confidence 0.076
+
294. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a014060135.png ; $W _ { N } \rightarrow W _ { n }$ ; confidence 0.076
  
295. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014090/a01409051.png ; $$\psi ( t _ { i } )$$ ; confidence 0.991
+
295. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014090/a01409051.png ; $\psi ( t _ { i } )$ ; confidence 0.991
  
296. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014090/a014090219.png ; $$L ( \Sigma )$$ ; confidence 0.983
+
296. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014090/a014090219.png ; $L ( \Sigma )$ ; confidence 0.983
  
297. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014140/a014140121.png ; $$\sigma ( 1 ) = s$$ ; confidence 0.805
+
297. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014140/a014140121.png ; $\sigma ( 1 ) = s$ ; confidence 0.805
  
298. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014190/a01419058.png ; $$\phi ( t ) \equiv$$ ; confidence 0.467
+
298. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014190/a01419058.png ; $\phi ( t ) \equiv$ ; confidence 0.467
  
299. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014190/a014190112.png ; $$\dot { x } = A x$$ ; confidence 0.608
+
299. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014190/a014190112.png ; $\dot { x } = A x$ ; confidence 0.608
  
300. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014190/a0141905.png ; $$x _ { y } + 1 = t$$ ; confidence 0.287
+
300. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014190/a0141905.png ; $x _ { y } + 1 = t$ ; confidence 0.287

Revision as of 11:41, 1 September 2019

List

1. a130240342.png ; $Y , B , E$ ; confidence 0.984

2. a130240194.png ; $8$ ; confidence 0.593

3. a130240509.png ; $E [ Z _ { 32 } , Z _ { 33 } ] = 0$ ; confidence 0.584

4. a130240343.png ; $2$ ; confidence 0.473

5. a13024029.png ; $1$ ; confidence 0.458

6. a130240122.png ; $t _ { 1 } , t _ { 2 } , \ldots$ ; confidence 0.731

7. a130240407.png ; $M _ { E } = \sum _ { i j k } ( y _ { i j k } - y _ { i j . } ) ^ { \prime } ( y _ { i j k } - y _ { i j } )$ ; confidence 0.159

8. a130240518.png ; $Z _ { 12 }$ ; confidence 0.917

9. a13024039.png ; $p \times p$ ; confidence 0.711

10. a130240383.png ; $H ^ { \prime }$ ; confidence 0.219

11. a13024067.png ; $e _ { j k }$ ; confidence 0.169

12. a130240506.png ; $Z _ { 32 } , Z _ { 33 }$ ; confidence 0.917

13. a130240430.png ; $a ^ { \prime } \Theta$ ; confidence 0.275

14. a130240110.png ; $x$ ; confidence 0.968

15. a130240248.png ; $( q , n - r )$ ; confidence 0.777

16. a130240348.png ; $( r - q ) \times p$ ; confidence 1.000

17. a130240213.png ; $7$ ; confidence 0.945

18. a130240472.png ; $i = 1 , \ldots , m$ ; confidence 0.480

19. a130240453.png ; $q = 1$ ; confidence 0.790

20. a130240338.png ; $N ( 0 , \Sigma _ { 1 } )$ ; confidence 0.996

21. a130240373.png ; $z _ { 1 }$ ; confidence 0.669

22. a13024025.png ; $y , \beta , e$ ; confidence 0.936

23. a130240244.png ; $= \operatorname { sin } \gamma q$ ; confidence 0.055

24. a130240162.png ; $c ^ { \prime } \beta = \eta$ ; confidence 0.492

25. a130240424.png ; $( 1 \times p )$ ; confidence 1.000

26. a130240485.png ; $B$ ; confidence 0.738

27. a130240302.png ; $\hat { \eta } \omega$ ; confidence 0.852

28. a130240236.png ; $n - r$ ; confidence 0.377

29. a130240142.png ; $m \times 1$ ; confidence 0.995

30. a130240191.png ; $X ^ { \prime } X \hat { \beta } = X ^ { \prime } y$ ; confidence 0.277

31. a130240254.png ; $6$ ; confidence 0.612

32. a130240524.png ; $Z _ { 12 } - Z _ { 13 } \Sigma _ { 33 } ^ { - 1 } \Sigma _ { 32 }$ ; confidence 0.727

33. a130240289.png ; $\hat { \psi } \pm S \cdot \hat { \sigma } \hat { \psi }$ ; confidence 0.134

34. a130240285.png ; $\psi \in L$ ; confidence 0.533

35. a130240177.png ; $\alpha$ ; confidence 0.905

36. a130240334.png ; $\Gamma = B X$ ; confidence 0.884

37. a130240443.png ; $H _ { j } : X _ { 3 } \beta _ { j } = 0$ ; confidence 0.980

38. a130240301.png ; $\hat { \eta } \Omega$ ; confidence 0.902

39. a130240515.png ; $Z _ { 0 } = Z _ { 12 } - Z _ { 13 } R$ ; confidence 0.674

40. a130240414.png ; $f ( Z _ { 1 } )$ ; confidence 0.795

41. a130240429.png ; $\Theta$ ; confidence 0.834

42. a130240261.png ; $\psi = \sum _ { i = 1 } ^ { q } d _ { i } \zeta _ { i }$ ; confidence 0.961

43. a13024019.png ; $y$ ; confidence 0.478

44. a130240396.png ; $M _ { H }$ ; confidence 0.989

45. a130240408.png ; $y _ { i j k }$ ; confidence 0.873

46. a130240353.png ; $E ( Z _ { 3 } ) = 0$ ; confidence 0.631

47. a130240109.png ; $( \alpha , \beta , \gamma ) ^ { \prime } = \beta$ ; confidence 1.000

48. a130240367.png ; $M _ { E } = Z _ { 3 } ^ { \prime } Z _ { 3 }$ ; confidence 0.783

49. a130240493.png ; $( 1 , t _ { j } , \ldots , t _ { j } ^ { k } ) ^ { \prime }$ ; confidence 0.604

50. a13024046.png ; $m \times s$ ; confidence 0.983

51. a130240242.png ; $SS _ { H } = \sum _ { i = 1 } ^ { \Psi } z _ { i } ^ { 2 }$ ; confidence 0.251

52. a130240423.png ; $q \times 1$ ; confidence 1.000

53. a130240216.png ; $\operatorname { dim } ( \Omega ) = r$ ; confidence 0.998

54. a130240354.png ; $E ( Z _ { 2 } )$ ; confidence 0.857

55. a130240330.png ; $( p \times p _ { 1 } )$ ; confidence 0.958

56. a130240362.png ; $22$ ; confidence 0.710

57. a130240240.png ; $\sigma ^ { 2 }$ ; confidence 0.864

58. a130240281.png ; $\| d \| ^ { 2 } \sigma ^ { 2 }$ ; confidence 0.982

59. a13024015.png ; $n > m$ ; confidence 0.980

60. a130240209.png ; $S$ ; confidence 0.868

61. a130240219.png ; $I$ ; confidence 0.738

62. a130240231.png ; $a$ ; confidence 0.607

63. a130240220.png ; $n \times n$ ; confidence 0.980

64. a130240147.png ; $\mu$ ; confidence 0.780

65. a130240239.png ; $MS _ { e }$ ; confidence 0.884

66. a130240375.png ; $( n - r ) F$ ; confidence 1.000

67. a130240328.png ; $H : X _ { 3 } B X _ { 4 } = 0$ ; confidence 0.914

68. a130240508.png ; $E ( Z _ { 13 } ) = 0$ ; confidence 0.388

69. a120310159.png ; $\Omega$ ; confidence 0.783

70. a110010249.png ; $( A + \delta A ) \hat { x } = \hat { \lambda } \hat { x }$ ; confidence 0.467

71. a110010186.png ; $A + \delta A$ ; confidence 0.999

72. a110010124.png ; $A A ^ { + } A = A$ ; confidence 0.999

73. a110010282.png ; $A _ { i } \in R ^ { n \times n }$ ; confidence 0.952

74. a11001016.png ; $x + \delta x$ ; confidence 0.997

75. a110010117.png ; $A x = b$ ; confidence 0.981

76. a110010138.png ; $\sigma _ { i } ( A ) - \sigma _ { 1 } ( \delta A ) \leq \sigma _ { i } ( A + \delta A ) \leq \sigma _ { i } ( A ) + \sigma _ { i } ( \delta A )$ ; confidence 0.987

77. a110010250.png ; $A x - \hat { \lambda } x = - \delta A x$ ; confidence 0.499

78. a110010217.png ; $1 / | y ^ { i } _ { x ^ { i } } ^ { * }$ ; confidence 0.245

79. a110010278.png ; $X$ ; confidence 0.962

80. a110010144.png ; $\frac { \| ( A + \delta A ) ^ { + } - A ^ { + } \| } { \| ( A + \delta A ) ^ { + } \| _ { 2 } } \leq \mu \| A ^ { + } \| _ { 2 } \| \delta A _ { 2 }$ ; confidence 0.551

81. a11001037.png ; $\| \delta b \| \leq \epsilon \| b \|$ ; confidence 0.440

82. a01020027.png ; $3$ ; confidence 0.899

83. a01020080.png ; $6$ ; confidence 0.907

84. a01020025.png ; $D : \mathfrak { D } \rightarrow A$ ; confidence 0.505

85. a11002020.png ; $D _ { 2 }$ ; confidence 0.967

86. a01021067.png ; $( 1 / z ) d z$ ; confidence 0.991

87. a010210119.png ; $d [ ( \omega ) ] = 2 g - 2$ ; confidence 0.588

88. a01022081.png ; $\alpha _ { j k } = \alpha _ { k l }$ ; confidence 0.439

89. a01024027.png ; $2$ ; confidence 0.729

90. a01024055.png ; $L \subset F$ ; confidence 0.990

91. a01024062.png ; $B i$ ; confidence 0.539

92. a01024073.png ; $\omega P _ { i } P _ { j }$ ; confidence 0.938

93. a110040185.png ; $p | D _ { i }$ ; confidence 0.587

94. a11004020.png ; $a$ ; confidence 0.856

95. a110040170.png ; $A$ ; confidence 0.998

96. a110040106.png ; $L ] = \lambda$ ; confidence 0.859

97. a110040196.png ; $\varphi _ { L } : A \rightarrow P ^ { 4 }$ ; confidence 0.936

98. a0101207.png ; $\sum _ { n = 0 } ^ { \infty } f ^ { ( n ) } ( \lambda _ { n } ) P _ { n } ( z )$ ; confidence 0.754

99. a01012049.png ; $A _ { 1 } ^ { * }$ ; confidence 0.975

100. a01012050.png ; $z | > 1$ ; confidence 0.823

101. a12002022.png ; $F _ { 0 } = f$ ; confidence 0.979

102. a1200203.png ; $A \subset Y$ ; confidence 0.990

103. a11006029.png ; $B _ { j } \in B$ ; confidence 0.414

104. a01043023.png ; $t \rightarrow \infty$ ; confidence 0.998

105. a13004067.png ; $\psi \in \Gamma$ ; confidence 1.000

106. a130040149.png ; $\Lambda _ { S 5 } T$ ; confidence 0.591

107. a130040397.png ; $\operatorname { Mod } ^ { * } S = \operatorname { Mod } ^ { * } L _ { D }$ ; confidence 0.117

108. a13004089.png ; $D$ ; confidence 0.984

109. a130040367.png ; $\tilde { \Omega }$ ; confidence 0.505

110. a130040685.png ; $X \in X$ ; confidence 0.278

111. a130040442.png ; $h ^ { - 1 } ( F _ { 0 } )$ ; confidence 0.995

112. a130050230.png ; $A ^ { \# }$ ; confidence 0.967

113. a130050246.png ; $Z _ { G } ( - q ^ { - 1 } ) \neq 0$ ; confidence 0.985

114. a11010055.png ; $C _ { W } ( X )$ ; confidence 0.985

115. a1101003.png ; $V$ ; confidence 0.987

116. a120050110.png ; $M$ ; confidence 0.455

117. a12005085.png ; $0 \leq t _ { 1 } \leq \ldots \leq t _ { k } \leq T$ ; confidence 0.863

118. a1200608.png ; $c ( x )$ ; confidence 0.998

119. a130060150.png ; $P _ { V } ^ { \# } ( n )$ ; confidence 0.472

120. a13006083.png ; $\overline { H }$ ; confidence 0.950

121. a130070121.png ; $n \equiv a ( \operatorname { mod } b )$ ; confidence 0.605

122. a13007057.png ; $A _ { \alpha } ( x ) = o ( \frac { x } { \operatorname { log } x } )$ ; confidence 0.911

123. a13007080.png ; $\sigma ( n ) > \sigma ( m )$ ; confidence 0.996

124. a13007033.png ; $< 1$ ; confidence 0.999

125. a13007083.png ; $H ( x ) > ( 1 - \varepsilon ) ( \operatorname { log } x ) ^ { 2 }$ ; confidence 0.997

126. a11016019.png ; $x _ { k + 1 } = M ^ { - 1 } ( N x _ { k } + b )$ ; confidence 0.894

127. a11016079.png ; $[ M ^ { - 1 } A ] x = [ M ^ { - 1 } b ]$ ; confidence 0.783

128. a11016027.png ; $A = L + D + U$ ; confidence 0.995

129. a1101706.png ; $\phi : \Omega \rightarrow \Omega _ { t }$ ; confidence 0.989

130. a13008083.png ; $X \leftarrow ( U - 1 / 2 ) / ( \sqrt { ( U - U ^ { 2 } ) } / 2 )$ ; confidence 0.910

131. a13008058.png ; $X \leftarrow m + s ( U _ { 1 } + U _ { 2 } - 1 )$ ; confidence 0.929

132. a110220101.png ; $R ( f )$ ; confidence 1.000

133. a110220112.png ; $\int _ { H } f d m = \int _ { \Omega } R _ { 1 } f d P _ { 1 } = \int _ { \Omega } R _ { 2 } f d P _ { 2 }$ ; confidence 0.794

134. a1201008.png ; $y ( 0 ) = x$ ; confidence 0.978

135. a12010079.png ; $( I + \lambda A )$ ; confidence 0.992

136. a01055060.png ; $\partial X ^ { \prime \prime }$ ; confidence 0.986

137. a12012069.png ; $p ^ { * } y \leq \lambda ^ { * } p ^ { * } x$ ; confidence 0.875

138. a12012024.png ; $7$ ; confidence 0.986

139. a12012049.png ; $x ^ { \prime } > x$ ; confidence 0.689

140. a11028017.png ; $l ( D ) \geq \chi ( G ) - 1$ ; confidence 0.970

141. a11028064.png ; $\chi ( G ) < \operatorname { girth } ( G )$ ; confidence 0.791

142. a11032019.png ; $z \rightarrow 0$ ; confidence 0.986

143. a1201308.png ; $m$ ; confidence 0.259

144. a11033016.png ; $N p$ ; confidence 0.998

145. a01060019.png ; $H _ { \hat { j } }$ ; confidence 0.205

146. a01064020.png ; $d ( m )$ ; confidence 0.930

147. a01064015.png ; $k _ { 1 } = 2$ ; confidence 0.992

148. a01070020.png ; $\beta : S \rightarrow B / L$ ; confidence 0.984

149. a11036013.png ; $n > 1$ ; confidence 0.998

150. a01071024.png ; $A = A _ { 1 } \cap \ldots \cap A _ { n }$ ; confidence 0.254

151. a11038041.png ; $\approx 3$ ; confidence 0.590

152. a11038040.png ; $\sim 2$ ; confidence 0.512

153. a12015047.png ; $\operatorname { ad } X$ ; confidence 0.415

154. a12015069.png ; $\mathfrak { a } / W$ ; confidence 0.438

155. a12015019.png ; $( g )$ ; confidence 0.376

156. a01081095.png ; $\lambda \neq \mu$ ; confidence 0.997

157. a01081069.png ; $U _ { j } ^ { * } ( \xi )$ ; confidence 0.987

158. a01082073.png ; $X \in Ob \odot$ ; confidence 0.251

159. a01084029.png ; $l \mapsto ( . l )$ ; confidence 0.425

160. a11040023.png ; $T ^ { * }$ ; confidence 0.984

161. a11041070.png ; $K _ { X } ^ { v } \otimes L ^ { i }$ ; confidence 0.368

162. a12016064.png ; $\lambda < 1$ ; confidence 0.995

163. a120160130.png ; $W E = R . F . I$ ; confidence 0.845

164. a12016079.png ; $1 / ( 1 - \lambda )$ ; confidence 0.977

165. a01095099.png ; $X = \xi ^ { i }$ ; confidence 0.662

166. a01105018.png ; $f \times ( O _ { X } )$ ; confidence 0.620

167. a12017016.png ; $b ( t ) = F ( t ) + \int _ { 0 } ^ { t } K ( t - s ) b ( s ) d s$ ; confidence 0.998

168. a0112107.png ; $\operatorname { Ai } ( x )$ ; confidence 0.619

169. a011210114.png ; $w ^ { \prime \prime } ( z ) = z w ( z )$ ; confidence 0.701

170. a12018084.png ; $10 ^ { 16 }$ ; confidence 1.000

171. a01130060.png ; $\gamma m$ ; confidence 0.719

172. a01137073.png ; $\{ U _ { i } \}$ ; confidence 0.984

173. a011370171.png ; $f ( \psi ( z ) )$ ; confidence 0.994

174. a01137088.png ; $\int _ { - \infty } ^ { + \infty } \operatorname { ln } \| \operatorname { exp } ( i t f _ { \alpha } ) \| \frac { d t } { 1 + t ^ { 2 } } < \infty$ ; confidence 0.982

175. a01139015.png ; $\mu _ { f } ( E ) = \int _ { E } f d x$ ; confidence 0.622

176. a1104901.png ; $D = d / d t$ ; confidence 0.954

177. a011450195.png ; $C / \Omega$ ; confidence 0.538

178. a0114501.png ; $A _ { k } ^ { 2 }$ ; confidence 0.983

179. a01146020.png ; $( 2 n - 2 p )$ ; confidence 1.000

180. a011460108.png ; $x \in A ^ { p } ( X ) = A ^ { * } ( X ) \cap H ^ { 2 p } ( X )$ ; confidence 0.669

181. a01146029.png ; $p = n - 1$ ; confidence 0.999

182. a01149058.png ; $D ( x _ { 0 } ) = 0$ ; confidence 0.998

183. a01150079.png ; $x _ { 0 } ^ { 3 } x _ { 1 } + x _ { 1 } ^ { 3 } x _ { 2 } + x _ { 2 } ^ { 3 } x _ { 0 } = 0$ ; confidence 0.999

184. a01152034.png ; $\tau : G \times V \rightarrow V$ ; confidence 0.995

185. a01152028.png ; $G _ { X } = \{ g \in G : g x = x \}$ ; confidence 0.901

186. a01152036.png ; $V ^ { 1 }$ ; confidence 0.987

187. a13018015.png ; $\tau \in V o c$ ; confidence 0.532

188. a011600189.png ; $( K / k )$ ; confidence 0.875

189. a011600128.png ; $f _ { 1 } = \ldots = f _ { m }$ ; confidence 0.889

190. a011600249.png ; $L / K$ ; confidence 0.986

191. a011600198.png ; $N _ { 0 }$ ; confidence 0.151

192. a011600163.png ; $1 \leq h _ { m } \leq h . \phi ( m )$ ; confidence 0.774

193. a01162010.png ; $f ( x ) - P _ { n } ^ { 0 } ( x )$ ; confidence 0.810

194. a01164040.png ; $q ( V )$ ; confidence 0.977

195. a01164014.png ; $| K _ { i } | = | i K _ { V ^ { J } } |$ ; confidence 0.620

196. a011640127.png ; $M = 10 p _ { t x } - p _ { g } - 2 p ^ { ( 1 ) } + 12 + \theta$ ; confidence 0.369

197. a011640155.png ; $p _ { g } \neq 1$ ; confidence 0.708

198. a01165079.png ; $H$ ; confidence 0.957

199. a011650288.png ; $m = \nu ( P )$ ; confidence 0.995

200. a01165078.png ; $H \times H \rightarrow H$ ; confidence 0.989

201. a011650412.png ; $A _ { \alpha } \subseteq A$ ; confidence 0.993

202. a011650252.png ; $\forall x _ { k }$ ; confidence 0.834

203. a011650408.png ; $\Omega _ { p } ^ { * } = \Omega _ { p } \cup \{ F _ { i } ^ { * } : F _ { i } \in \Omega _ { f } \}$ ; confidence 0.985

204. a01169071.png ; $L _ { \Omega }$ ; confidence 0.997

205. a01172012.png ; $\operatorname { Red } : X ( K ) \rightarrow X _ { 0 } ( k )$ ; confidence 0.991

206. a01178066.png ; $p \in C$ ; confidence 0.958

207. a01178016.png ; $b a P$ ; confidence 0.779

208. a011820124.png ; $M \times N$ ; confidence 0.757

209. a01197046.png ; $U - \text { a.p. } \subset S ^ { p } - \text { a.p. } \subset W ^ { p } - \text { a.p. } \subset B ^ { p } - \text { a.p. } \quad p \geq 1$ ; confidence 0.179

210. a01198058.png ; $\{ f ( x ) \overline { \phi } _ { \lambda } ( x ) \}$ ; confidence 0.564

211. a0119906.png ; $\pi _ { k } ( x )$ ; confidence 0.899

212. a13022025.png ; $i : A \rightarrow X$ ; confidence 0.601

213. a11054026.png ; $O ( n ^ { 2 } \operatorname { log } n )$ ; confidence 0.568

214. a13023028.png ; $f _ { 1 } = ( P _ { n } \ldots P _ { 1 } ) ^ { 1 } f$ ; confidence 0.568

215. a13023034.png ; $\| f _ { 1 } - P _ { U \cap V ^ { J } } f \| \leq c ^ { 2 l - 1 } \| f \|$ ; confidence 0.287

216. a13023032.png ; $1 \rightarrow \infty$ ; confidence 0.982

217. a01204016.png ; $\partial M ^ { n + 1 } = K ^ { n }$ ; confidence 0.516

218. a01204017.png ; $X \subset Y$ ; confidence 0.590

219. a0120907.png ; $\alpha \neq 0$ ; confidence 0.947

220. a01209091.png ; $N ( R ) \neq 0$ ; confidence 0.997

221. a01209097.png ; $Z ( A ) = A \cap Z ( R )$ ; confidence 0.998

222. a01210023.png ; $| \alpha | = \sqrt { \overline { \alpha } \alpha }$ ; confidence 0.964

223. a01212040.png ; $\alpha _ { i } + 1$ ; confidence 0.659

224. a0121604.png ; $\phi = \operatorname { am } z$ ; confidence 0.783

225. a11058047.png ; $= v : q$ ; confidence 0.846

226. a12023068.png ; $c _ { q }$ ; confidence 0.425

227. a1202303.png ; $f \in C ( \partial D )$ ; confidence 0.993

228. a01221035.png ; $f ( t ) = \psi ( \phi ( t ) )$ ; confidence 0.999

229. a01225011.png ; $R > 0$ ; confidence 1.000

230. a01233050.png ; $x <$ ; confidence 0.424

231. a01234035.png ; $a \in V$ ; confidence 0.699

232. a012410135.png ; $f ( S )$ ; confidence 0.968

233. a01241063.png ; $s = s ^ { * } \cup ( s \backslash s ^ { * } ) ^ { * } U \ldots$ ; confidence 0.271

234. a012410141.png ; $R ^ { n } \subset C ^ { k }$ ; confidence 0.407

235. a01243088.png ; $f$ ; confidence 0.816

236. a012430100.png ; $I Y \subset O$ ; confidence 0.739

237. a012460130.png ; $X \equiv 0$ ; confidence 0.220

238. a11060013.png ; $0.96$ ; confidence 1.000

239. a01255032.png ; $\Gamma _ { n } ^ { \alpha } ( H ) _ { \alpha } ^ { 8 }$ ; confidence 0.595

240. a110610171.png ; $h \in \operatorname { Diff } ^ { + } ( M )$ ; confidence 0.591

241. a110610104.png ; $Z = \int _ { A } D A \sqrt { \operatorname { det } ( / \partial _ { A } ^ { * } / \partial _ { A } ) } \operatorname { exp } [ - \| F \| ^ { 2 } ]$ ; confidence 0.921

242. a11063032.png ; $\rho _ { 0 n + } = \operatorname { sin } A$ ; confidence 0.354

243. a01280065.png ; $\times \frac { \partial ^ { m + n } } { \partial x ^ { m } \partial y ^ { n } } [ x ^ { \gamma + m - 1 } y ^ { \prime } + n - 1 _ { ( 1 - x - y ) } \alpha + w + n - \gamma - \gamma ^ { \prime } ]$ ; confidence 0.072

244. a01293027.png ; $L u \equiv \frac { \partial u } { \partial t } - \frac { \partial ^ { 2 } u } { \partial x ^ { 2 } } = 0$ ; confidence 0.607

245. a01294080.png ; $F _ { b }$ ; confidence 0.450

246. a01294081.png ; $f \in F$ ; confidence 0.988

247. a012950197.png ; $( L _ { 2 } )$ ; confidence 0.999

248. a01296094.png ; $n > r$ ; confidence 0.999

249. a012970198.png ; $\hat { W } \square _ { \infty } ^ { \gamma }$ ; confidence 0.199

250. a012970176.png ; $d _ { 2 n - 1 } = d _ { 2 n }$ ; confidence 0.797

251. a012970129.png ; $S _ { 2 } ^ { \gamma }$ ; confidence 0.562

252. a012970196.png ; $m \geq r$ ; confidence 0.999

253. a01297077.png ; $\operatorname { inf } _ { u \in \mathfrak { N } } \| x - u \| = \operatorname { sup } _ { F \in X ^ { * } } [ F ( x ) - \operatorname { sup } _ { u \in \mathfrak { N } } F ( u ) ]$ ; confidence 0.144

254. a012970244.png ; $L ( f )$ ; confidence 0.998

255. a01298030.png ; $\phi _ { k } ( t _ { k } ) = 1$ ; confidence 0.994

256. a01298033.png ; $X = H$ ; confidence 0.599

257. a01300068.png ; $P _ { 0 } ( z )$ ; confidence 0.963

258. a01300057.png ; $L _ { p } ( E )$ ; confidence 0.872

259. a01300016.png ; $\operatorname { deg } P \leq n$ ; confidence 0.996

260. a01301081.png ; $D ^ { 0 } f = f$ ; confidence 0.998

261. a13027051.png ; $\{ x _ { n j } ^ { \prime } \}$ ; confidence 0.273

262. a01303027.png ; $\operatorname { sup } _ { x \in \mathfrak { M } } \| x - A x \|$ ; confidence 0.679

263. a01317026.png ; $y _ { t } = t - S _ { \eta _ { t } }$ ; confidence 0.968

264. a013180116.png ; $H _ { k + 1 } ( f ( M ) )$ ; confidence 0.998

265. a013180158.png ; $\| T _ { M } \|$ ; confidence 0.918

266. a0132202.png ; $F ( z ) = z + \alpha _ { 0 } + \frac { \alpha _ { 1 } } { z } + \ldots$ ; confidence 0.619

267. a01322017.png ; $\overline { B } = C F ( \Delta ^ { \prime } )$ ; confidence 0.999

268. a11066057.png ; $1 ^ { 1 } = 1 ^ { 1 } ( N )$ ; confidence 0.689

269. a11068093.png ; $L f \theta$ ; confidence 0.169

270. a110680125.png ; $p / p$ ; confidence 0.977

271. a110680195.png ; $b _ { i } = \alpha _ { i } \alpha _ { 1 }$ ; confidence 0.437

272. a11068053.png ; $r ^ { \prime } < r$ ; confidence 0.977

273. a11068076.png ; $\alpha \geq b$ ; confidence 0.978

274. a110680200.png ; $r$ ; confidence 0.805

275. a110680179.png ; $\phi _ { x y } a \leq b$ ; confidence 0.847

276. a01325016.png ; $\operatorname { Arg } f$ ; confidence 0.692

277. a01325046.png ; $0 \notin f ( \partial D )$ ; confidence 0.904

278. a01325015.png ; $\operatorname { arg } f$ ; confidence 0.862

279. a11070050.png ; $\beta ( A )$ ; confidence 0.999

280. a11070056.png ; $M ( A ) = V \backslash N ( A )$ ; confidence 0.983

281. a11070080.png ; $\Omega ^ { p } [ V ]$ ; confidence 0.985

282. a120280141.png ; $S _ { E } = \{ \omega \in \hat { G } : E + \omega \subseteq E \}$ ; confidence 0.881

283. a01357020.png ; $g ( u ) d u$ ; confidence 0.997

284. a01359029.png ; $\Phi ^ { ( 3 ) } ( x )$ ; confidence 0.986

285. a01367016.png ; $J _ { \nu } ( x ) \sim \sqrt { \frac { 2 } { \pi x } } [ \operatorname { cos } ( x - \frac { \pi \nu } { 2 } - \frac { \pi } { 4 } ) \sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } \alpha _ { 2 n } x ^ { - 2 n }$ ; confidence 0.755

286. a0136709.png ; $f ( x ) \sim \sum _ { n = 0 } ^ { \infty } a _ { n } \phi _ { n } ( x ) \quad ( x \rightarrow x _ { 0 } )$ ; confidence 0.754

287. a11079027.png ; $M \subset G$ ; confidence 0.949

288. a13029066.png ; $Y$ ; confidence 0.441

289. a13029031.png ; $P \rightarrow \Sigma$ ; confidence 0.991

290. a01398016.png ; $f ( \lambda ) = ( \frac { \sigma ^ { 2 } } { 2 \pi } ) | \phi ( e ^ { i \lambda } ) | ^ { - 2 }$ ; confidence 0.996

291. a01406076.png ; $\mathfrak { A } _ { s _ { 1 } }$ ; confidence 0.833

292. a014060256.png ; $A = S ^ { \prime }$ ; confidence 0.502

293. a01406028.png ; $20$ ; confidence 0.906

294. a014060135.png ; $W _ { N } \rightarrow W _ { n }$ ; confidence 0.076

295. a01409051.png ; $\psi ( t _ { i } )$ ; confidence 0.991

296. a014090219.png ; $L ( \Sigma )$ ; confidence 0.983

297. a014140121.png ; $\sigma ( 1 ) = s$ ; confidence 0.805

298. a01419058.png ; $\phi ( t ) \equiv$ ; confidence 0.467

299. a014190112.png ; $\dot { x } = A x$ ; confidence 0.608

300. a0141905.png ; $x _ { y } + 1 = t$ ; confidence 0.287

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/2. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/2&oldid=43820