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101. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130070/h13007060.png ; $a _ { i 1 } f _ { 1 } + \ldots + a _ { i l } f _ { l } = b _ { i } , i = 1 , \ldots , m$ ; confidence 0.200
 
101. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130070/h13007060.png ; $a _ { i 1 } f _ { 1 } + \ldots + a _ { i l } f _ { l } = b _ { i } , i = 1 , \ldots , m$ ; confidence 0.200
  
102. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b12022033.png ; $\rho f ( 1 , u _ { f } , \frac { 1 } { 2 } | u f | ^ { 2 } + \frac { N } { 2 } T _ { f } ) = \int ( 1 , v , \frac { | v ^ { 2 } } { 2 } ) f ( v ) d v$ ; confidence 0.200
+
102. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b12022033.png ; $\rho_f ( 1 , u _ { f } , \frac { 1 } { 2 } | u_f | ^ { 2 } + \frac { N } { 2 } T _ { f } ) = \int ( 1 , v , \frac { | v |^ { 2 } } { 2 } ) f ( v ) d v.$ ; confidence 0.200
  
103. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120240/e12024056.png ; $d _ { p } \quad \square ( E / K ) \leq 2 \text { ord } _ { p } [ E ( K ) : Z y _ { K } ]$ ; confidence 0.200
+
103. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120240/e12024056.png ; $\operatorname{ord} _ { p } \quad \square ( E / K ) \leq 2 \text { ord } _ { p } [ E ( K ) : {\bf Z} y _ { K } ]$ ; confidence 0.200
  
104. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w120070102.png ; $\| e ^ { i \zeta A } \| \leq C ^ { \prime } ( 1 + | \zeta | ) ^ { s ^ { \prime } } e ^ { \gamma | \operatorname { lm } \zeta | }$ ; confidence 0.200
+
104. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w120070102.png ; $\| e ^ { i \zeta \cal A } \| \leq C ^ { \prime } ( 1 + | \zeta | ) ^ { s ^ { \prime } } e ^ { r | \operatorname { lm } \zeta | }$ ; confidence 0.200
  
105. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s1305108.png ; $= \operatorname { min } 5 =$ ; confidence 0.200
+
105. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s1305108.png ; $\operatorname {mex} S= \operatorname { min } \overline{S} =$ ; confidence 0.200
  
106. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066960/n0669604.png ; $\frac { e ^ { - ( x + \lambda ) / 2 } x ^ { ( n - 2 ) / 2 } } { 2 ^ { x / 2 } \Gamma ( 1 / 2 ) } \sum _ { r = 0 } ^ { \infty } \frac { \lambda ^ { r } x ^ { r } } { ( 2 r ) ! } \frac { \Gamma ( r + 1 / 2 ) } { \Gamma ( r + n / 2 ) }$ ; confidence 0.200
+
106. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066960/n0669604.png ; $\frac { e ^ { - ( x + \lambda ) / 2 } x ^ { ( n - 2 ) / 2 } } { 2 ^ { n / 2 } \Gamma ( 1 / 2 ) } \sum _ { r = 0 } ^ { \infty } \frac { \lambda ^ { r } x ^ { r } } { ( 2 r ) ! } \frac { \Gamma ( r + 1 / 2 ) } { \Gamma ( r + n / 2 ) },$ ; confidence 0.200
  
107. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120510/b12051094.png ; $d = d + ( \alpha - ( y _ { n } ^ { T } - 1 ) ^ { d } / y _ { n - 1 } ^ { T } s _ { n - 1 } ) s _ { n - 1 }$ ; confidence 0.200
+
107. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120510/b12051094.png ; $d = d + ( \alpha - ( y _ { n-1 } ^ { T } { d } / y _ { n - 1 } ^ { T } s _ { n - 1 } ) s _ { n - 1 }$ ; confidence 0.200
  
 
108. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120050/s12005019.png ; $S _ { 0 } , \ldots , S _ { n - 1 }$ ; confidence 0.200
 
108. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120050/s12005019.png ; $S _ { 0 } , \ldots , S _ { n - 1 }$ ; confidence 0.200
  
109. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200120.png ; $b ^ { t ^ { s } }$ ; confidence 0.200
+
109. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200120.png ; ${frak h} ^ { e ^ { * } }$ ; confidence 0.200
  
110. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r13007069.png ; $= \sum _ { j , m \atop j , m } K ( z _ { m } , y _ { j } ) c _ { j } \overline { \beta _ { m } }$ ; confidence 0.200
+
110. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r13007069.png ; $= \sum _ { j , m } K ( z _ { m } , y _ { j } ) c _ { j } \overline { \beta _ { m } }.$ ; confidence 0.200
  
111. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130180/m13018075.png ; $\mu ( \overline { \emptyset } , X ) = \sum _ { A : \overline { H } = X } ( - 1 ) ^ { | A | }$ ; confidence 0.200
+
111. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130180/m13018075.png ; $\mu ( \overline { \emptyset } , X ) = \sum _ { A : \overline { A } = X } ( - 1 ) ^ { | A | }$ ; confidence 0.200
  
112. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d12002099.png ; $\hat { c } ^ { 2 }$ ; confidence 0.199
+
112. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d12002099.png ; $\hat { c } ^ { 2 }_k$ ; confidence 0.199
  
113. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200198.png ; $> | z _ { h _ { 1 } } + 1 | \geq \ldots \geq | z _ { k _ { 2 } } | > \delta _ { 2 } \geq$ ; confidence 0.199
+
113. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200198.png ; $> | z _ { h _ { 1 } } + 1 | \geq \ldots \geq | z _ { h _ { 2 } } | > \delta _ { 2 } \geq$ ; confidence 0.199
  
114. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007061.png ; $A u \in B ( D _ { A } ( \alpha , \infty ) ) \cap C ^ { \alpha } ( [ 0 , T ] ; X )$ ; confidence 0.199
+
114. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007061.png ; $A u \in B ( D _ { A } ( \alpha , \infty ) ) \bigcap C ^ { \alpha } ( [ 0 , T ] ; X )$ ; confidence 0.199
  
115. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120260/d12026033.png ; $| X _ { N } | = \operatorname { sup } _ { t } | X _ { N } ( t ) |$ ; confidence 0.199
+
115. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120260/d12026033.png ; $| \overline{X} _ { n } | = \operatorname { sup } _ { t } | X _ { n } ( t ) |$ ; confidence 0.199
  
116. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040490/f04049012.png ; $\frac { 2 \nu ^ { 2 } \frac { 2 } { 2 } ( \nu _ { 1 } + \nu _ { 2 } - 2 ) } { \nu _ { 1 } ( \nu _ { 2 } - 2 ) ^ { 2 } ( \nu _ { 2 } - 4 ) } \quad \text { for } \nu _ { 2 } > 4$ ; confidence 0.199
+
116. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040490/f04049012.png ; $\frac { 2 \nu_2 ^ { 2 }( \nu _ { 1 } + \nu _ { 2 } - 2 ) } { \nu _ { 1 } ( \nu _ { 2 } - 2 ) ^ { 2 } ( \nu _ { 2 } - 4 ) } \quad \text { for } \nu _ { 2 } > 4$ ; confidence 0.199
  
117. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120200/c12020048.png ; $\angle D$ ; confidence 0.199
+
117. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120200/c12020048.png ; $\iota_0$ ; confidence 0.199
  
118. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j120020183.png ; $P [ \tau \in \Pi ] = | I | / ( 2 \pi )$ ; confidence 0.199
+
118. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j120020183.png ; $\operatorname {P} [ \tau \in I ] = | I | / ( 2 \pi )$ ; confidence 0.199
  
119. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l12003021.png ; $S q ^ { i } x _ { n } = 0$ ; confidence 0.199
+
119. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l12003021.png ; ${\cal S} \operatorname {q} ^ { i } x _ { n } = 0$ ; confidence 0.199
  
120. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120270/b12027054.png ; $F ^ { ( 0 ) } ( u ) = I _ { [ 0 , \infty ) } ^ { ( 2 ) }$ ; confidence 0.199
+
120. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120270/b12027054.png ; $F ^ { ( 0 ) } ( u ) = I _ { [ 0 , \infty ) } ^ { ( u ) }$ ; confidence 0.199
  
 
121. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120310/d12031018.png ; $f ( T ) = \sum _ { n = 0 } ^ { \infty } \alpha _ { n } T ^ { n }$ ; confidence 0.199
 
121. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120310/d12031018.png ; $f ( T ) = \sum _ { n = 0 } ^ { \infty } \alpha _ { n } T ^ { n }$ ; confidence 0.199
  
122. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110470/b11047070.png ; $C ^ { i k }$ ; confidence 0.199
+
122. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110470/b11047070.png ; $C ^ { k }$ ; confidence 0.199
  
123. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s13051049.png ; $| V$ ; confidence 0.199
+
123. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s13051049.png ; $| V |$ ; confidence 0.199
  
124. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004045.png ; $a$ ; confidence 0.199
+
124. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004045.png ; $d_1$ ; confidence 0.199
  
125. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230155.png ; $\frac { d } { d t } A ( \sigma _ { t } ) | _ { t = 0 } = \frac { d } { d t } \int _ { N } \sigma ^ { k ^ { * } } \phi _ { t } ^ { k ^ { * } } ( L \Delta ) | _ { t = 0 } =$ ; confidence 0.198
+
125. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230155.png ; $\frac { d } { d t } {\cal A} ( \sigma _ { t } ) | _ { t = 0 } = \frac { d } { d t } \int _ { M } \sigma ^ { k ^ { * } } \phi _ { t } ^ { k ^ { * } } ( L \Delta ) | _ { t = 0 } =$ ; confidence 0.198
  
126. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130040/g13004012.png ; $f : R ^ { m } \rightarrow R ^ { n }$ ; confidence 0.198
+
126. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130040/g13004012.png ; $f : {\bf R} ^ { m } \rightarrow {\bf R} ^ { n }$ ; confidence 0.198
  
127. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120010/c12001030.png ; $T : C ^ { m + 1 } \rightarrow C ^ { n + 1 }$ ; confidence 0.198
+
127. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120010/c12001030.png ; $\tilde{T} : {\bf C} ^ { m + 1 } \rightarrow {\bf C} ^ { n + 1 }$ ; confidence 0.198
  
128. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120180/b12018033.png ; $\forall x _ { 1 } \ldots \forall x _ { N } ( P _ { X 1 } \ldots x _ { N } \leftrightarrow \varphi ( x _ { 1 } , \ldots , x _ { N } ) )$ ; confidence 0.198
+
128. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120180/b12018033.png ; $\forall x _ { 1 } \dots \forall x _ { n } ( P _ { x_1  \dots x _ { N }} \leftrightarrow \varphi ( x _ { 1 } , \ldots , x _ { n } ) )$ ; confidence 0.198
  
129. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b12015093.png ; $\operatorname { Var } _ { P _ { 0 } } ( d ^ { * } ) =$ ; confidence 0.198
+
129. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b12015093.png ; $\operatorname { Var } _ { \operatorname {P} _ { 0 } } ( d ^ { * } ) =$ ; confidence 0.198
  
130. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040271.png ; $Mod ^ { * } S _ { D }$ ; confidence 0.198
+
130. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040271.png ; $\operatorname {Alg} \operatorname {Mod} ^ { * S} _ { \cal D }$ ; confidence 0.198
  
131. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130020/f1300207.png ; $T _ { i j }$ ; confidence 0.197
+
131. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130020/f1300207.png ; $T _ { a }$ ; confidence 0.197
  
132. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120070/e12007026.png ; $( \varphi | _ { k } ^ { V } M ) ( z ) = v ( M ) ( cz + d ) ^ { - k } \varphi ( M z )$ ; confidence 0.197
+
132. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120070/e12007026.png ; $( \varphi | _ { k } ^ { \text{V} } M ) ( z ) = {\bf v} ( M ) ( cz + d ) ^ { - k } \varphi ( M z ).$ ; confidence 0.197
  
133. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120140/d12014030.png ; $\alpha \neq 0 \in F _ { q }$ ; confidence 0.197
+
133. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120140/d12014030.png ; $a \neq 0 \in{\bf F}_ { q }$ ; confidence 0.197
  
134. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130060/l13006088.png ; $( z _ { k } , \ldots , z _ { k } + r - 1 ) \neq ( 0 , \ldots , 0 )$ ; confidence 0.197
+
134. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130060/l13006088.png ; $( z _ { k } , \ldots , z _ { k + r - 1} ) \neq ( 0 , \dots , 0 )$ ; confidence 0.197
  
135. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130100/c13010021.png ; $f = \sum _ { i = 1 } ^ { n } a _ { i } \chi _ { B _ { i } } , \quad B _ { i } = \cup _ { j = i } ^ { n } A _ { i }$ ; confidence 0.197
+
135. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130100/c13010021.png ; $f = \vee _ { i = 1 } ^ { n } a _ { i } \chi _ { B _ { i } } , \quad B _ { i } = \bigcup _ { j = i } ^ { n } A _ { i }.$ ; confidence 0.197
  
136. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o13001037.png ; $\theta . w : = \sum ^ { 3 } j = 1 \quad \theta _ { j } w _ { j }$ ; confidence 0.197
+
136. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o13001037.png ; $\theta . w : = \sum ^ { 3 _{ j = 1}}  \theta _ { j } w _ { j }$ ; confidence 0.197
  
137. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520158.png ; $\alpha _ { j } \in K$ ; confidence 0.197
+
137. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520158.png ; $a _ { j } \in K$ ; confidence 0.197
  
138. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t130140140.png ; $q ( x ) = \sum _ { i \in I } x _ { i } ^ { 2 } + \sum _ { i \prec j } x _ { i } x _ { j } - \sum _ { p \in \operatorname { max } l } ( \sum _ { i \prec p } x _ { i } ) x _ { p }$ ; confidence 0.197
+
138. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t130140140.png ; $q _I( x ) = \sum _ { i \in I } x _ { i } ^ { 2 } + \sum _ { \overstack {i \prec j} \\{j\in \operatorname {max} I} } x _ { i } x _ { j } - \sum _ { p \in \operatorname { max } l } ( \sum _ { i \prec p } x _ { i } ) x _ { p }$ ; confidence 0.197
  
139. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120190/e12019037.png ; $l _ { x }$ ; confidence 0.196
+
139. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120190/e12019037.png ; $l _ { ab }$ ; confidence 0.196
  
 
140. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110480/c11048021.png ; $X \in N$ ; confidence 0.196
 
140. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110480/c11048021.png ; $X \in N$ ; confidence 0.196
  
141. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130070/h13007038.png ; $\Delta f _ { i } = A _ { , r + 1 } f _ { r + 1 } + \ldots + A _ { , l } f _ { l }$ ; confidence 0.196
+
141. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130070/h13007038.png ; $\Delta f _ { i } = A _ { i , r + 1 } f _ { r + 1 } + \ldots + A _ {i , l } f _ { l },$ ; confidence 0.196
  
142. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110160/f11016092.png ; $\mathfrak { A } \equiv \ell \mathfrak { B }$ ; confidence 0.196
+
142. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110160/f11016092.png ; $\mathfrak { A } \equiv_l \mathfrak { B }$ ; confidence 0.196
  
143. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016170/b0161709.png ; $T$ ; confidence 0.196
+
143. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016170/b0161709.png ; $r_0$ ; confidence 0.196
  
144. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840403.png ; $21 , \dots , 2 x$ ; confidence 0.196
+
144. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840403.png ; $n, z_1, \dots, z_n$ ; confidence 0.196
  
 
145. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120020/b12002049.png ; $\beta _ { n , F }$ ; confidence 0.196
 
145. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120020/b12002049.png ; $\beta _ { n , F }$ ; confidence 0.196
Line 292: Line 292:
 
146. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055030.png ; $g = e$ ; confidence 0.195
 
146. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055030.png ; $g = e$ ; confidence 0.195
  
147. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130480/s13048053.png ; $( E _ { f } ^ { p q } , a _ { \ell } ^ { p q } )$ ; confidence 0.195
+
147. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130480/s13048053.png ; $( E _ { r } ^ { p q } , a _ { r } ^ { p q } )$ ; confidence 0.195
  
148. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b120430152.png ; $U _ { q } ( g ) = U _ { q } ( n _ { - } ) \times H _ { \bowtie } U _ { q } ( n _ { + } )$ ; confidence 0.195
+
148. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b120430152.png ; $U _ { q } ( {\frak{g} ) = U _ { q } ( n _ { - } ) {\color{blue} \rtimes} H {\color{blue} \rtimes } U _ { q } ( n _ { + } )$ ; confidence 0.195
  
149. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094080/t09408034.png ; $\rightarrow \pi _ { n } ( X , B , * ) \rightarrow \pi _ { n } ( X ; A , B , x _ { 0 } ) \stackrel { \partial } { \rightarrow } \ldots$ ; confidence 0.195
+
149. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094080/t09408034.png ; $\rightarrow \pi _ { n } ( X , B , ^* ) \rightarrow \pi _ { n } ( X ; A , B , x _ { 0 } ) \stackrel { \partial } { \rightarrow } \ldots$ ; confidence 0.195
  
150. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l12003048.png ; $( ( - ) \otimes _ { F } , H ^ { * } B V ) : U \rightarrow U$ ; confidence 0.195
+
150. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l12003048.png ; $( ( _- ) \bigotimes _ {{\bf F}_p } , H ^ { * } B V ) :\cal U \rightarrow U$ ; confidence 0.195 FIN QUI
  
 
151. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b120430166.png ; $\Delta f = 1 \bigotimes f + x \varnothing \partial _ { q } f +$ ; confidence 0.195
 
151. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b120430166.png ; $\Delta f = 1 \bigotimes f + x \varnothing \partial _ { q } f +$ ; confidence 0.195

Revision as of 18:17, 3 May 2020

List

1. f13007034.png ; $= \langle x _ { 1 } , \dots , x _ { m } | x _ { i } x ^ { k _ { i } + 1 } = x _ { i + 2 } ; \text { indices } ( \operatorname { mod } m ) \rangle.$ ; confidence 0.208

2. s12027015.png ; $R _ { n } [ f ]$ ; confidence 0.208

3. e12012093.png ; $w _ { i } ^ { ( t + 1 ) } = \operatorname{E} ( q _ { i } | y _ { i } , \mu ^ { ( t ) } , \Sigma ^ { ( t ) } ) = \frac { \nu + p } { \nu + d _ { i } ^ { ( t ) } } , i = 1 , \dots , n,$ ; confidence 0.208

4. d13006029.png ; $m _ { E _ { 1 } , E _ { 2 } } ( A ) = c . \sum _ { B , C ; A = B \bigcap C } m _ { E _ { 1 } } ( B ) .m _ { E _ { 2 } } ( C )$ ; confidence 0.208

5. a130240502.png ; ${\bf Z} _ { i j }$ ; confidence 0.208

6. t12001098.png ; $G$ ; confidence 0.208

7. a11040054.png ; $\odot$ ; confidence 0.208

8. b11093018.png ; $Z _ { p }$ ; confidence 0.208

9. d120020168.png ; $\tilde{v} ( \tilde{u} _ { 1 } ) \leq 0$ ; confidence 0.208

10. s12016016.png ; $\| . \| _ { k }$ ; confidence 0.208

11. f1301005.png ; $( ( k _ { n } ) _ { n = 1 } ^ { \infty } , ( l _ { n } ) _ { n = 1 } ^ { \infty } )$ ; confidence 0.208

12. f12011046.png ; $\operatorname{Re} z$ ; confidence 0.208

13. c11025029.png ; $e_1$ ; confidence 0.208

14. h12007036.png ; $c : a \rightarrow b$ ; confidence 0.207

15. g130060120.png ; $: = \{ B = [ b _ { i , j } ] : b _ { i , i } = a _ { i , i } , \text { and } r _ { i } ( B ) = r _ { i } ( A ) , 1 \leq i \leq n \}.$ ; confidence 0.207

16. a1103208.png ; $+ h \sum _ { j = 1 } ^ { i - 1 } A _ { j } ( h T ) [ f ( t _ { m } + c _ { j } h , u _ { m + 1 } ^ { ( j ) } ) - T u _ { m+1 } ^ { ( j ) } ]$ ; confidence 0.207

17. w12007075.png ; $\mathfrak{h} _ { n }$ ; confidence 0.207

18. d1202502.png ; $f : U \rightarrow {\bf R} ^ { n }$ ; confidence 0.207

19. v12006053.png ; $B _ { m } - B _ { n }$ ; confidence 0.207

20. h12004029.png ; $V _ { \xi } \subseteq { * } W$ ; confidence 0.207

21. a12013046.png ; $P _ { \theta ^ *} ( X _ { n - 1 }, d x )$ ; confidence 0.207

22. d1200305.png ; $x _ { n } \nearrow x \swarrow y _ { n }$ ; confidence 0.207

23. v09690033.png ; $T \rightarrow T | _ { P ^ { \prime } H}$ ; confidence 0.207

24. a120260117.png ; $( m , X _ { 1 } , \dots , X _ { s_i } ) ^ { c }$ ; confidence 0.207

25. b12009031.png ; $\xi = e ^ { i \alpha\operatorname{ln} \tau } f$ ; confidence 0.207

26. z13004017.png ; $\lfloor \frac { n } { 2 } \rfloor \lfloor \frac { n - 1 } { 2 } \rfloor \lfloor \frac { m } { 2 } \rfloor \lfloor \frac { m - 1 } { 2 } \rfloor.$ ; confidence 0.206

27. m12003090.png ; $\overset{\rightharpoonup} { x } _ { j }$ ; confidence 0.206

28. m12013074.png ; $\frac { d N } { d t } = \lambda N ( 1 - ( \frac { N } { K } ) ^ {a } ),$ ; confidence 0.206

29. d12020015.png ; $p _ { n } ( s ) = \sum _ { m = 1 } ^ { n } a _ { m } m ^ { - s }$ ; confidence 0.206

30. a01160050.png ; $r_1$ ; confidence 0.206

31. a13031033.png ; $\mu _ { n } ( X ) : = \mu ( X ) / \sum _ { |Y| = n } \mu ( Y )$ ; confidence 0.206

32. l12004082.png ; $f _ { i + 1 / 2 } ^ { \operatorname { mac } } = \left\{ \begin{array} { l } { \frac { 1 } { 2 } ( \hat { f } _ { i } ^ { + } + f _ { i + 1 } ^ { n } ) } \\ { \text { or } } \\ { \frac { 1 } { 2 } ( \hat { f } _ { i + 1 } ^ { - } + f _ { i } ^ { n } ). } \end{array} \right.$ ; confidence 0.206

33. w12007011.png ; ${\bf q} _ { k }$ ; confidence 0.206

34. i13002026.png ; $X = I _ { A _ { 1 } } + \ldots + I _ { A _ { n } }$ ; confidence 0.206

35. f12016027.png ; ${\bf C} \backslash \sigma _ { \text{lre} } ( T )$ ; confidence 0.206

36. b13002041.png ; $w ^ { * }$ ; confidence 0.206

37. a12010052.png ; $l ^ { p }$ ; confidence 0.206

38. a120260106.png ; $\hat { y } = ( \hat { y } _ { 1 } , \dots , \hat { y } _ { n } ) \in \hat { A } [ [ X ] ] ^ { n }$ ; confidence 0.205

39. c12001076.png ; $E ^ { * * }$ ; confidence 0.205

40. m12015028.png ; $\int _ { Y } \int_X f _ { X , Y } d X d Y = 1$ ; confidence 0.205

41. f11016062.png ; ${\cal U} [ D ]$ ; confidence 0.205

42. d13008096.png ; $= \{ z \in {\cal D} : \operatorname { limi\,nf } _ { w \rightarrow x } [ K _ {\cal D } ( z , w ) - K _ {\cal D } ( z_0 , w ) ] < \frac { 1 } { 2 } \operatorname { log } R \}$ ; confidence 0.205

43. m12010012.png ; $\Delta _ { n } = \{ 0 , \dots , n \}$ ; confidence 0.205

44. a12010060.png ; $D ( \Delta ) = H _ { o } ^ { 1 } \cap H ^ { 2 } ( \Omega )$ ; confidence 0.205

45. b13007058.png ; $\sigma : a \mapsto a b , b \mapsto b , \gamma _ { r } : a \mapsto a ^ { r + 1 } b ^ { 2 } a ^ { - r } , r \geq 1,$ ; confidence 0.205

46. c02718026.png ; $C _ { k }$ ; confidence 0.205

47. w13010040.png ; $= - I ^ { \kappa_a } ( b ) \in ( - \infty , 0 ) , \text { for all } 0 < b < \kappa _ { a }$ ; confidence 0.205

48. s1202401.png ; $h_* ^ { S }$ ; confidence 0.205

49. a01060019.png ; $H _ { i }$ ; confidence 0.205

50. v12002088.png ; $H ^ { 0 } ( f ^ { - 1 } ( y ) , G ) = G , H ^ { q } ( f ^ { - 1 } ( y ) , G ) = 0$ ; confidence 0.205

51. w130080169.png ; $a = 1 , \dots , l$ ; confidence 0.205

52. d03200040.png ; $\kappa_2$ ; confidence 0.205

53. s12025055.png ; $ { h } \equiv 1$ ; confidence 0.204

54. v120020189.png ; $\hat { t } \square ^ { * } : H ^ { n + 1 } ( \overline { D } \square ^ { n + 1 } , S ^ { n } ) \rightarrow H ^ { n + 1 } ( \Gamma _ { \overline{D} \square ^ { n + 1 } } , \Gamma _ { S ^ { n } } )$ ; confidence 0.204

55. m06377012.png ; $x ^ { ( n ) } + a _ { n - 1} z ^ { ( n - 1 ) } + \dots + a _ { 0 } x = 0.$ ; confidence 0.204

56. m12021017.png ; $K , L \in {\cal K} ^ { n }$ ; confidence 0.204

57. a11058063.png ; $ { l } _ { 1 }$ ; confidence 0.204

58. d03167019.png ; $\xi |_ { A }$ ; confidence 0.204

59. a01206014.png ; $I _ { 1 }$ ; confidence 0.204

60. c12004054.png ; $\operatorname{CF} ( \zeta - z , w ) = \frac { ( n - 1 ) ! } { ( 2 \pi i ) ^ { n } } \frac { \sum _ { k = 1 } ^ { n } ( - 1 ) ^ { k - 1 } w _ { k } d w [ k ] \wedge d \zeta } { \langle w , \zeta - z \rangle ^ { n } },$ ; confidence 0.204

61. n067520270.png ; $\overline { b }_1$ ; confidence 0.204

62. l1300505.png ; ${\bf a}^ { ( t ) } = ( a _ { t } , a _ { t + 1} , \dots , a _ { n + t - 1 }) ( t \geq 0 )$ ; confidence 0.204

63. h13006014.png ; $T _ { n } T _ { m } = \sum _ { d | ( n , m ) } d ^ { k - 1 } T _ { m n / d^2 } ,$ ; confidence 0.203

64. p12017089.png ; $d$ ; confidence 0.203

65. j12002021.png ; $\int _ { I } | \varphi - \varphi _ { I } | ^ { 2 } d \vartheta \leq c ^ { 2 } | I |$ ; confidence 0.203

66. b12043033.png ; $S\circ . = . \circ \Psi _ { B , B } \circ ( S \bigotimes S )$ ; confidence 0.203

67. l1300107.png ; $x = ( x _ { 1 } , \dots , x _ { N } ) \in {\bf T} ^ { n }$ ; confidence 0.203

68. b12013077.png ; $A ^ { - \infty } = \cup _ { p > 0 } L _ { a } ^ { p }$ ; confidence 0.203

69. m12027043.png ; $a _ {i j k }$ ; confidence 0.203

70. n06663045.png ; $H _ { p } ^ { r _ { 1 } , \dots , r _ { i - 1 } , r _ { i } + \epsilon , r _ { i + 1 } , \dots , r _ { n } }$ ; confidence 0.203

71. h13005025.png ; $\hat { \psi } ( x , k ) \approx \begin{cases} { e ^ { - i k x } + b ( k ) e ^ { i k x } } & {\text { as } x\to \infty,} \\ { a ( k ) e ^ { - i k x } } & { \text { as } x \to - \infty.} \end{cases}$ ; confidence 0.203

72. c1200707.png ; $C ^ { n } ( {\cal C} , M ) = \prod _ { \langle \alpha _ { 1 } , \dots , \alpha _ { n } \rangle } M ( \operatorname { codom } \alpha _ { n } ) , n > 0$ ; confidence 0.202

73. l12010098.png ; $- E$ ; confidence 0.202

74. b12010045.png ; ${\cal L} _ { n }$ ; confidence 0.202

75. q12008057.png ; $\operatorname{E} [ W ] _ { \operatorname { exh } } = \frac { \delta ^ { 2 } } { 2 r } + \frac { P \lambda { b } ^ { ( 2 ) } + r ( P - \rho ) } { 2 ( 1 - \rho ) },$ ; confidence 0.202

76. h12007015.png ; $a , b \in A _ { m }$ ; confidence 0.202

77. b12016071.png ; $\{ e _ { i } \} _ { 1 } ^ { n }$ ; confidence 0.202

78. w12011016.png ; $\hat { u } ( \xi ) = \int e ^ { - 2 i \pi x . \xi } u ( x ) d x,$ ; confidence 0.202

79. q13004027.png ; $\operatorname { l(f } ^ { \prime } ( x ) ) = \operatorname { min } \{ | f ^ { \prime } ( x ) h | : | h | = 1 \}.$ ; confidence 0.202

80. t13004051.png ; $D x ^ { n }$ ; confidence 0.202

81. l1300509.png ; $( a _ { k } ) _ { k = 0 , \dots , N - 1}$ ; confidence 0.202

82. l1201305.png ; $\tilde {\bf Q }$ ; confidence 0.202

83. o13005085.png ; $x _ { n } \in \mathfrak { H }$ ; confidence 0.202

84. b13012058.png ; $\| d \| _ {\cal P M ^* } = \operatorname { sup } _ { n \geq 0 } \frac { 1 } { n + 1 } \sum _ { k = - n } ^ { n } | d _ { k } |$ ; confidence 0.201

85. w12002025.png ; $\operatorname { l } _ { p } ^ { p } ( P , Q ) = \int _ { 0 } ^ { 1 } | F ^ { - 1 } ( u ) - G ^ { - 1 } ( u ) | ^ { p } d u , p \geq 1,$ ; confidence 0.201

86. l12010043.png ; $L _ { \gamma , n } = L _ { \gamma , n } ^ { c }$ ; confidence 0.201

87. s1202606.png ; $\int _ { {\cal S} ^ { \prime } ( {\bf R} ) } e ^ { i \langle x , \xi \rangle _ { d } } d \mu ( x ) = e ^ { - \| \xi \| _ { 2 } ^ { 2 } / 2 } , \xi \in {\cal S} ( {\bf R} )$ ; confidence 0.201

88. l13006082.png ; $( z _ { k } , \ldots , z _ { k + r - 1})$ ; confidence 0.201

89. c1201308.png ; $\operatorname{Vol}( M ) \leq v , | \text { sec. curv. } M | \leq \kappa,$ ; confidence 0.201

90. p12015058.png ; $a$ ; confidence 0.201

91. i13003079.png ; $\operatorname{Ch} ( \operatorname{ ind } ( P ) ) = ( - 1 ) ^ { n } \pi * ( \operatorname { ind } ( [ a ] ) {cal T} ( M | B ) ).$ ; confidence 0.201

92. a130060149.png ; ${\cal P} _ { \text{E} } ^ { \# } ( n ) \sim \frac { 1 } { 468 \sqrt { \pi } } 4 ^ { n } n ^ { - 7 / 2 } \text { as } n\rightarrow \infty$ ; confidence 0.201

93. h13007017.png ; $a _ { i1 } f _ { 1 } + \ldots + a _ { i l } f _ { l } = 0 , i = 1 , \ldots , m,$ ; confidence 0.201

94. t12020043.png ; $g_2 ( k ) = \sum _ { j = 1 } ^ { n } b _ { j } ^ { \prime \prime } ( k ) z _ { j } ^ { k }$ ; confidence 0.201

95. a13012053.png ; $e ^ { k \operatorname { ln } k }$ ; confidence 0.201

96. m13018052.png ; $\mu ( 0 , x ) = - \sum _ { u } \mu ( 0 , u ),$ ; confidence 0.201

97. v13006022.png ; $\hat { E }_8$ ; confidence 0.201

98. a130040641.png ; $\langle {\bf M e} _ { {\cal S} _ { P }} \mathfrak { M } / \Omega F _ { {\cal S}_P } \mathfrak { M } , F _ { {\cal S} _ { P } } \mathfrak { M } / \Omega F _ { {\cal S} _ { P }} \mathfrak { M } \rangle$ ; confidence 0.201

99. c02008019.png ; $\aleph_1$ ; confidence 0.200

100. a130040655.png ; $\operatorname { mng }_{{\cal S} _ { P } , \mathfrak { M }} = \operatorname { mng }_{{\cal S} _ { P } , \mathfrak { M }} \circ h$ ; confidence 0.200

101. h13007060.png ; $a _ { i 1 } f _ { 1 } + \ldots + a _ { i l } f _ { l } = b _ { i } , i = 1 , \ldots , m$ ; confidence 0.200

102. b12022033.png ; $\rho_f ( 1 , u _ { f } , \frac { 1 } { 2 } | u_f | ^ { 2 } + \frac { N } { 2 } T _ { f } ) = \int ( 1 , v , \frac { | v |^ { 2 } } { 2 } ) f ( v ) d v.$ ; confidence 0.200

103. e12024056.png ; $\operatorname{ord} _ { p } \quad \square ( E / K ) \leq 2 \text { ord } _ { p } [ E ( K ) : {\bf Z} y _ { K } ]$ ; confidence 0.200

104. w120070102.png ; $\| e ^ { i \zeta \cal A } \| \leq C ^ { \prime } ( 1 + | \zeta | ) ^ { s ^ { \prime } } e ^ { r | \operatorname { lm } \zeta | }$ ; confidence 0.200

105. s1305108.png ; $\operatorname {mex} S= \operatorname { min } \overline{S} =$ ; confidence 0.200

106. n0669604.png ; $\frac { e ^ { - ( x + \lambda ) / 2 } x ^ { ( n - 2 ) / 2 } } { 2 ^ { n / 2 } \Gamma ( 1 / 2 ) } \sum _ { r = 0 } ^ { \infty } \frac { \lambda ^ { r } x ^ { r } } { ( 2 r ) ! } \frac { \Gamma ( r + 1 / 2 ) } { \Gamma ( r + n / 2 ) },$ ; confidence 0.200

107. b12051094.png ; $d = d + ( \alpha - ( y _ { n-1 } ^ { T } { d } / y _ { n - 1 } ^ { T } s _ { n - 1 } ) s _ { n - 1 }$ ; confidence 0.200

108. s12005019.png ; $S _ { 0 } , \ldots , S _ { n - 1 }$ ; confidence 0.200

109. b130200120.png ; ${frak h} ^ { e ^ { * } }$ ; confidence 0.200

110. r13007069.png ; $= \sum _ { j , m } K ( z _ { m } , y _ { j } ) c _ { j } \overline { \beta _ { m } }.$ ; confidence 0.200

111. m13018075.png ; $\mu ( \overline { \emptyset } , X ) = \sum _ { A : \overline { A } = X } ( - 1 ) ^ { | A | }$ ; confidence 0.200

112. d12002099.png ; $\hat { c } ^ { 2 }_k$ ; confidence 0.199

113. t120200198.png ; $> | z _ { h _ { 1 } } + 1 | \geq \ldots \geq | z _ { h _ { 2 } } | > \delta _ { 2 } \geq$ ; confidence 0.199

114. a12007061.png ; $A u \in B ( D _ { A } ( \alpha , \infty ) ) \bigcap C ^ { \alpha } ( [ 0 , T ] ; X )$ ; confidence 0.199

115. d12026033.png ; $| \overline{X} _ { n } | = \operatorname { sup } _ { t } | X _ { n } ( t ) |$ ; confidence 0.199

116. f04049012.png ; $\frac { 2 \nu_2 ^ { 2 }( \nu _ { 1 } + \nu _ { 2 } - 2 ) } { \nu _ { 1 } ( \nu _ { 2 } - 2 ) ^ { 2 } ( \nu _ { 2 } - 4 ) } \quad \text { for } \nu _ { 2 } > 4$ ; confidence 0.199

117. c12020048.png ; $\iota_0$ ; confidence 0.199

118. j120020183.png ; $\operatorname {P} [ \tau \in I ] = | I | / ( 2 \pi )$ ; confidence 0.199

119. l12003021.png ; ${\cal S} \operatorname {q} ^ { i } x _ { n } = 0$ ; confidence 0.199

120. b12027054.png ; $F ^ { ( 0 ) } ( u ) = I _ { [ 0 , \infty ) } ^ { ( u ) }$ ; confidence 0.199

121. d12031018.png ; $f ( T ) = \sum _ { n = 0 } ^ { \infty } \alpha _ { n } T ^ { n }$ ; confidence 0.199

122. b11047070.png ; $C ^ { k }$ ; confidence 0.199

123. s13051049.png ; $| V |$ ; confidence 0.199

124. a11004045.png ; $d_1$ ; confidence 0.199

125. e120230155.png ; $\frac { d } { d t } {\cal A} ( \sigma _ { t } ) | _ { t = 0 } = \frac { d } { d t } \int _ { M } \sigma ^ { k ^ { * } } \phi _ { t } ^ { k ^ { * } } ( L \Delta ) | _ { t = 0 } =$ ; confidence 0.198

126. g13004012.png ; $f : {\bf R} ^ { m } \rightarrow {\bf R} ^ { n }$ ; confidence 0.198

127. c12001030.png ; $\tilde{T} : {\bf C} ^ { m + 1 } \rightarrow {\bf C} ^ { n + 1 }$ ; confidence 0.198

128. b12018033.png ; $\forall x _ { 1 } \dots \forall x _ { n } ( P _ { x_1 \dots x _ { N }} \leftrightarrow \varphi ( x _ { 1 } , \ldots , x _ { n } ) )$ ; confidence 0.198

129. b12015093.png ; $\operatorname { Var } _ { \operatorname {P} _ { 0 } } ( d ^ { * } ) =$ ; confidence 0.198

130. a130040271.png ; $\operatorname {Alg} \operatorname {Mod} ^ { * S} _ { \cal D }$ ; confidence 0.198

131. f1300207.png ; $T _ { a }$ ; confidence 0.197

132. e12007026.png ; $( \varphi | _ { k } ^ { \text{V} } M ) ( z ) = {\bf v} ( M ) ( cz + d ) ^ { - k } \varphi ( M z ).$ ; confidence 0.197

133. d12014030.png ; $a \neq 0 \in{\bf F}_ { q }$ ; confidence 0.197

134. l13006088.png ; $( z _ { k } , \ldots , z _ { k + r - 1} ) \neq ( 0 , \dots , 0 )$ ; confidence 0.197

135. c13010021.png ; $f = \vee _ { i = 1 } ^ { n } a _ { i } \chi _ { B _ { i } } , \quad B _ { i } = \bigcup _ { j = i } ^ { n } A _ { i }.$ ; confidence 0.197

136. o13001037.png ; $\theta . w : = \sum ^ { 3 _{ j = 1}} \theta _ { j } w _ { j }$ ; confidence 0.197

137. n067520158.png ; $a _ { j } \in K$ ; confidence 0.197

138. t130140140.png ; $q _I( x ) = \sum _ { i \in I } x _ { i } ^ { 2 } + \sum _ { \overstack {i \prec j} \\{j\in \operatorname {max} I} } x _ { i } x _ { j } - \sum _ { p \in \operatorname { max } l } ( \sum _ { i \prec p } x _ { i } ) x _ { p }$ ; confidence 0.197

139. e12019037.png ; $l _ { ab }$ ; confidence 0.196

140. c11048021.png ; $X \in N$ ; confidence 0.196

141. h13007038.png ; $\Delta f _ { i } = A _ { i , r + 1 } f _ { r + 1 } + \ldots + A _ {i , l } f _ { l },$ ; confidence 0.196

142. f11016092.png ; $\mathfrak { A } \equiv_l \mathfrak { B }$ ; confidence 0.196

143. b0161709.png ; $r_0$ ; confidence 0.196

144. k055840403.png ; $n, z_1, \dots, z_n$ ; confidence 0.196

145. b12002049.png ; $\beta _ { n , F }$ ; confidence 0.196

146. a01055030.png ; $g = e$ ; confidence 0.195

147. s13048053.png ; $( E _ { r } ^ { p q } , a _ { r } ^ { p q } )$ ; confidence 0.195

148. b120430152.png ; $U _ { q } ( {\frak{g} ) = U _ { q } ( n _ { - } ) {\color{blue} \rtimes} H {\color{blue} \rtimes } U _ { q } ( n _ { + } )$ ; confidence 0.195

149. t09408034.png ; $\rightarrow \pi _ { n } ( X , B , ^* ) \rightarrow \pi _ { n } ( X ; A , B , x _ { 0 } ) \stackrel { \partial } { \rightarrow } \ldots$ ; confidence 0.195

150. l12003048.png ; $( ( _- ) \bigotimes _ {{\bf F}_p } , H ^ { * } B V ) :\cal U \rightarrow U$ ; confidence 0.195 FIN QUI

151. b120430166.png ; $\Delta f = 1 \bigotimes f + x \varnothing \partial _ { q } f +$ ; confidence 0.195

152. q12001095.png ; $d \tilde { \pi } ^ { c } ( X ) = d \tilde { \pi } ( X )$ ; confidence 0.195

153. a13018093.png ; $y = ( L )$ ; confidence 0.194

154. a110010295.png ; $\underline { \Phi }$ ; confidence 0.194

155. l05700079.png ; $c _ { t }$ ; confidence 0.194

156. q12007084.png ; $\{ f ^ { i x } \}$ ; confidence 0.194

157. m12013059.png ; $( N _ { * } ^ { 1 } , \ldots , N _ { * } ^ { n } )$ ; confidence 0.194

158. b13012029.png ; $f _ { k } ( x ) = h ^ { - 1 } \int _ { R } \varphi ( \frac { t } { h } ) f ( x - t ) d t$ ; confidence 0.194

159. g12004055.png ; $\hat { f } ( \xi ) = \int _ { R ^ { n } e } ^ { - i x \xi } f ( x ) d x$ ; confidence 0.194

160. c1203102.png ; $\mathfrak { c } _ { \mathfrak { z } } \in R$ ; confidence 0.194

161. l120100108.png ; $K _ { k 1 } ( V )$ ; confidence 0.194

162. c1200806.png ; $\hat { I } _ { y }$ ; confidence 0.194

163. b12021048.png ; $\overline { D } _ { k } = U ( a ) \otimes U ( p ) \wedge ^ { k } ( a / p )$ ; confidence 0.194

164. t120050119.png ; $\vec { d ^ { 2 } f _ { x } } : K _ { x } \times T V _ { x } \rightarrow Q _ { x }$ ; confidence 0.194

165. s1306404.png ; $T _ { n } ( a ) = ( a _ { j - k } ) _ { j , k = 0 } ^ { n - 1 }$ ; confidence 0.194

166. e12001013.png ; $M \subseteq \text { Mono } ( \mathfrak { A } )$ ; confidence 0.193

167. s120340136.png ; $M ( \tilde { x } _ { + } , \tilde { x } _ { - } ) / R$ ; confidence 0.193

168. l05702027.png ; $1 ^ { n }$ ; confidence 0.193

169. m12009031.png ; $x \mapsto e ^ { T x }$ ; confidence 0.193

170. s12024052.png ; $z _ { i } ^ { n } \sim z _ { i + 1 } ^ { n }$ ; confidence 0.193

171. b130200201.png ; $s l _ { 2 } ( R )$ ; confidence 0.193

172. i12001029.png ; $_ { S } \in R ^ { 1 }$ ; confidence 0.193

173. w12007041.png ; $e ^ { i ( p D + q X + t I ) }$ ; confidence 0.193

174. d13011018.png ; $\alpha _ { X } = \left( \begin{array} { l l l l } { 0 } & { 0 } & { 0 } & { 1 } \\ { 0 } & { 0 } & { 1 } & { 0 } \\ { 0 } & { 1 } & { 0 } & { 0 } \\ { 1 } & { 0 } & { 0 } & { 0 } \end{array} \right) = \left( \begin{array} { l l } { 0 } & { \sigma _ { x } } \\ { \sigma _ { x } } & { 0 } \end{array} \right)$ ; confidence 0.193

175. a01167032.png ; $a 1 , \dots , a _ { x }$ ; confidence 0.193

176. a01022046.png ; $v$ ; confidence 0.193

177. w13008092.png ; $d \Omega _ { n } = d \hat { \Omega } _ { n } - \sum _ { 1 } g ( \oint _ { A _ { j } } d \hat { \Omega _ { n } } ) d \omega _ { j }$ ; confidence 0.193

178. e1200103.png ; $A \stackrel { f } { \rightarrow } B = A \stackrel { é } { \rightarrow } f [ A ] \stackrel { m } { \rightarrow } B$ ; confidence 0.193

179. s09067084.png ; $V _ { q } ^ { p }$ ; confidence 0.193

180. t09408031.png ; $\pi _ { n } ( X ; A , B , ^ { * } ) = \pi _ { n - 1 } ( \Omega ( X ; B , * ) , \Omega ( A ; A \cap B , * ) , * )$ ; confidence 0.193

181. a12024032.png ; $\overline { CH } \overline { D } ^ { p } ( X )$ ; confidence 0.193

182. i130090226.png ; $X ^ { \omega } \chi ^ { - 1 } = \{ x \in X : \delta x = \omega \chi ^ { - 1 } ( \delta ) x f o r \delta \in \Delta \}$ ; confidence 0.193

183. n12002097.png ; $\operatorname { lim } _ { n \rightarrow \infty } \frac { 1 } { n } \operatorname { log } P [ X _ { 1 } + \ldots + X _ { n } \geq n m ] = \int _ { m _ { 0 } } ^ { m } \frac { x - m } { V _ { F } ( x ) } d x$ ; confidence 0.193

184. b12024014.png ; $V \subset C ^ { m }$ ; confidence 0.192

185. a0100205.png ; $P = \cup _ { n _ { 1 } , \ldots , n _ { k } , \ldots } \cap _ { k = 1 } ^ { \infty } E _ { n _ { 1 } } \square \ldots x _ { k }$ ; confidence 0.192

186. a120160164.png ; $e$ ; confidence 0.192

187. c12001039.png ; $p ^ { m } \backslash X$ ; confidence 0.192

188. b130200175.png ; $( e _ { i } ) ^ { k } , v = 0 = ( f _ { i } ) ^ { k } , v$ ; confidence 0.192

189. d120230178.png ; $\vec { G } _ { i } \Theta _ { i }$ ; confidence 0.192

190. c02202042.png ; $k ]$ ; confidence 0.192

191. a011650300.png ; $x _ { i }$ ; confidence 0.192

192. d13013087.png ; $L _ { n } = SU ( 2 ) / Z _ { n }$ ; confidence 0.192

193. b13028048.png ; $\lambda _ { N } H \times \Omega ^ { \infty } X$ ; confidence 0.192

194. m13013078.png ; $v _ { 1 } , \dots , v _ { k }$ ; confidence 0.191

195. b1203607.png ; $\{ \in \{ \}$ ; confidence 0.191

196. a11058010.png ; $p 2$ ; confidence 0.191

197. f13009069.png ; $R _ { S } ( p ; k , n )$ ; confidence 0.191

198. b12031066.png ; $S _ { R } ^ { \delta } ( f ) ( x ) = \sum _ { m \backslash | \leq R } ( 1 - \frac { | m | ^ { 2 } } { R ^ { 2 } } ) ^ { \delta } e ^ { 2 \pi i x m } \hat { f } ( m )$ ; confidence 0.191

199. t12002031.png ; $( X _ { n } ) _ { n \in Z } ^ { d }$ ; confidence 0.191

200. l12010011.png ; $\left\{ \begin{array} { l l } { \gamma \geq \frac { 1 } { 2 } } & { \text { forn } = 1 } \\ { \gamma > 0 } & { \text { forn } = 2 } \\ { \gamma \geq 0 } & { \text { forn } \geq 3 } \end{array} \right.$ ; confidence 0.191

201. a01197039.png ; $\underline { 1 } = 1$ ; confidence 0.191

202. c12004070.png ; $\times [ CF ( \zeta - z , w ) - \frac { ( n - 1 ) ! ( | \zeta | ^ { 2 m } - \langle \overline { \zeta } , z | ^ { m } ) ^ { n } } { [ 2 \pi i | \zeta | ^ { 2 m } \{ \overline { \zeta } , \zeta - z \} ] ^ { N } } \sigma _ { 0 } ]$ ; confidence 0.191

203. s1304104.png ; $\langle p , q \rangle _ { s } = \sum _ { l = 0 } ^ { N } \lambda _ { i } \int _ { R } p ^ { ( l ) } q ^ { ( l ) } d \mu _ { l }$ ; confidence 0.190

204. d12012064.png ; $\left. \begin{array} { c c c } { \square } & { c _ { 2 } } & { \square } \\ { \square } & { \square } & { \searrow ^ { \phi _ { 2 } } } \\ { \square ^ { \phi _ { 1 } } } & { \nearrow } & { \vec { \phi _ { 3 } } } \end{array} \right.$ ; confidence 0.190

205. t12021086.png ; $t ( G ) = t ( G / e ) + ( x - 1 ) ^ { r ( G ) - r ( G - \epsilon ) } t ( G - e )$ ; confidence 0.190

206. c13004024.png ; $\psi ^ { ( R ) } ( z ) = ( - 1 ) ^ { N + 1 } n ! \zeta ( n + 1 , z )$ ; confidence 0.190

207. o130060188.png ; $( \sigma _ { 2 } \frac { \partial } { \partial t _ { 1 } } - \sigma _ { 1 } \frac { \partial } { \partial t _ { 2 } } + \tilde { \gamma } ) v = 0$ ; confidence 0.190

208. w12005056.png ; $h = ( h _ { 1 } , \dots , h _ { w } ) \in N ^ { w } \subset A ^ { w }$ ; confidence 0.190

209. t120010125.png ; $\dot { i } \leq n$ ; confidence 0.190

210. m12013058.png ; $\frac { d N ^ { i } } { d t } = f ^ { i } ( N ^ { 1 } , \ldots , N ^ { n } ) , \quad i = 1 , \dots , n$ ; confidence 0.190

211. e12010046.png ; $w ^ { em } = - \frac { 1 } { 2 } \frac { \partial } { \partial t } ( E ^ { 2 } + B ^ { 2 } ) - \nabla \cdot ( S - v ( P E ) )$ ; confidence 0.190

212. h12002040.png ; $( \alpha _ { j } + k ) _ { j , k } \geq 0$ ; confidence 0.190

213. f130100154.png ; $\langle G \rangle \leq \| u \| _ { H } ( H ) + \epsilon$ ; confidence 0.190

214. a12010013.png ; $e ^ { - t A _ { X } } = \operatorname { lim } _ { n \rightarrow \infty } ( I + \frac { t } { n } A ) ^ { - n } x = S ( t ) x , \forall x \in X$ ; confidence 0.189

215. b13029054.png ; $a _ { 1 } , \dots , a _ { d }$ ; confidence 0.189

216. b13029080.png ; $I ( M ) = \sum _ { i = 0 } ^ { s - 1 } \left( \begin{array} { c } { s - 1 } \\ { i } \end{array} \right) J _ { A } ( H _ { m } ^ { i } ( M ) )$ ; confidence 0.189

217. t13004049.png ; $h : = \operatorname { max } _ { N \in N } \{ \sigma _ { N } - n \}$ ; confidence 0.189

218. a130040133.png ; $\Lambda _ { D } T$ ; confidence 0.189

219. k05578016.png ; $I _ { V }$ ; confidence 0.189

220. c12026083.png ; $t _ { 8 } + 1 / 2 = t _ { x } + k / 2$ ; confidence 0.189

221. w1300909.png ; $| h | _ { H } ^ { 2 }$ ; confidence 0.189

222. n0666306.png ; $r _ { 2 } > 0$ ; confidence 0.188

223. w13017046.png ; $\hat { y } _ { t , r } = \sum _ { j = r } ^ { \infty } K _ { j } \varepsilon _ { t + r - j }$ ; confidence 0.188

224. f120110108.png ; $H _ { K } ^ { X } ( D ^ { X } + i R ^ { X } , \tilde { O } )$ ; confidence 0.188

225. d12015024.png ; $= ( 3 ^ { d } + 1 \frac { 3 ^ { d + 1 } - 1 } { 2 } , 3 ^ { d } \frac { 3 ^ { d + 1 } + 1 } { 2 } , 3 ^ { d } \frac { 3 ^ { d } + 1 } { 2 } , 3 ^ { 2 d } )$ ; confidence 0.188

226. f13029065.png ; $f _ { L } ^ { \rightarrow } ( a ) ( y ) = \vee \{ \alpha ( x ) : f ( x ) = y \}$ ; confidence 0.188

227. c120170170.png ; $\tau ( \sum a _ { i j } z ^ { i } z ^ { j } ) = \sum a _ { i j } \gamma _ { i j }$ ; confidence 0.188

228. m06377013.png ; $\dot { x } = A x , \quad x \in R ^ { x }$ ; confidence 0.188

229. b1205605.png ; $h = h ( M ) = \operatorname { inf } _ { \Gamma } \frac { \operatorname { Vol } ( \Gamma ) } { \operatorname { min } \{ \operatorname { Vol } ( M _ { 1 } ) , \text { Vol } ( M _ { 2 } ) \} }$ ; confidence 0.188

230. f13002015.png ; $c ^ { a } ( x ) c ^ { b } ( y ) = - c ^ { b } ( y ) c ^ { a } ( x )$ ; confidence 0.188

231. c130070204.png ; $\operatorname { ord } _ { T } ( u d v ) = \operatorname { ord } _ { T } ( u d v / d \tau )$ ; confidence 0.188

232. c12007037.png ; $\operatorname { lim } _ { L } \leftarrow ^ { n }$ ; confidence 0.188

233. a130040192.png ; $\mathfrak { A } ^ { * } S = \mathfrak { A }$ ; confidence 0.188

234. i13002048.png ; $\sum _ { k = 1 } ^ { m } x _ { k } S _ { k } \leq P ( A _ { 1 } \cup \ldots \cup A _ { n } ) \leq \sum _ { k = 1 } ^ { m } y _ { k } S _ { k }$ ; confidence 0.188

235. a130040280.png ; $\Gamma \dagger _ { D } \Delta ( \varphi , \psi )$ ; confidence 0.188

236. c12008026.png ; $A _ { 1 } = \left[ \begin{array} { c c c } { A _ { 11 } } & { \dots } & { A _ { 1 m } } \\ { \dots } & { \dots } & { \dots } \\ { A _ { m 1 } } & { \dots } & { A _ { m m } } \end{array} \right] \in C ^ { m n \times m n }$ ; confidence 0.187

237. l13006044.png ; $D _ { k } ^ { * }$ ; confidence 0.187

238. n06736068.png ; $1.1 p$ ; confidence 0.187

239. g12004077.png ; $P ( x , D ) u = ( 2 \pi ) ^ { - n } \int _ { R ^ { n } } e ^ { i x \xi } p ( x , \xi ) \hat { u } ( \xi ) d \xi$ ; confidence 0.187

240. z13008038.png ; $= \frac { ( \alpha + 1 ) _ { k + l } } { ( \alpha + 1 ) _ { k } ( \alpha + 1 ) _ { l } } \sum _ { j = 0 } ^ { \operatorname { min } ( k , l ) } \frac { ( - k ) _ { j } ( - l ) } { ( - k - l - \alpha ) j ! } r ^ { k + l - 2 j }$ ; confidence 0.187

241. q12007011.png ; $( \Delta \bigotimes \text { id } ) R = R _ { 13 } R _ { 23 } , ( \text { id } \bigotimes \Delta ) R = R _ { 13 } R _ { 12 }$ ; confidence 0.187

242. t120010100.png ; $O = G / \operatorname { Sp } ( 1 ) . K$ ; confidence 0.187

243. d03006013.png ; $+ \frac { 1 } { 2 \alpha } \int _ { x - w t } ^ { x + c t } \psi ( \xi ) d \xi + \frac { 1 } { 2 } [ \phi ( x + a t ) + \phi ( x - a t ) ]$ ; confidence 0.187

244. s120340106.png ; $X - = ( x - , u - )$ ; confidence 0.187

245. z12001084.png ; $\{ \text { ad } e _ { - } ^ { p } _ { - 1 } ^ { k } : 0 < k < m \}$ ; confidence 0.187

246. s08602017.png ; $\left.\begin{array} { r l } { \Phi ^ { + } ( t _ { 0 } ) } & { = \frac { 1 } { 2 \pi i } \int _ { \Gamma } \frac { \phi ( t ) d t } { t - t _ { 0 } } + \frac { 1 } { 2 } \phi ( t _ { 0 } ) } \\ { \Phi ^ { - } ( t _ { 0 } ) } & { = \frac { 1 } { 2 \pi i } \int _ { \Gamma } \frac { \phi ( t ) d t } { t - t _ { 0 } } - \frac { 1 } { 2 } \phi ( t _ { 0 } ) } \end{array} \right\}$ ; confidence 0.187

247. e12010045.png ; $G ^ { em } = G ^ { em } \cdot f$ ; confidence 0.187

248. q12008066.png ; $\left[ \begin{array} { l } { 1 } \\ { 1 } \end{array} \right]$ ; confidence 0.187

249. a13026019.png ; $a _ { m p } r \equiv a _ { m p ^ { r - 1 } } ( \operatorname { mod } p ^ { 3 r } )$ ; confidence 0.187

250. l12004081.png ; $( u _ { i } ^ { n } + \hat { u } _ { i } ^ { + } ) / 2$ ; confidence 0.187

251. e120070105.png ; $\hat { H } ^ { 1 } = \hat { H } ^ { 1 } ( \Gamma , k , v ; P ( k ) )$ ; confidence 0.187

252. e13007042.png ; $\vec { c } _ { i } ^ { \prime }$ ; confidence 0.187

253. n12010059.png ; $\| Y _ { m } \| _ { G } ^ { 2 } = \sum _ { i , j = 1 } ^ { k } g j \langle y _ { m } + i - 1 , y _ { m } + j - 1 \rangle$ ; confidence 0.187

254. t13008013.png ; $+ ( 1 - \mu _ { x } + t ^ { + } d t ) e ^ { - \delta d t } V _ { t + d t } + o ( d t )$ ; confidence 0.187

255. d12024092.png ; $gl ( n , C )$ ; confidence 0.187

256. l120130103.png ; $Z [ X _ { 1 } , \dots , X _ { N } ]$ ; confidence 0.187

257. m13014085.png ; $\frac { \pi ^ { n } } { n \operatorname { vol } ( D ) } \int _ { \partial D } f ( \zeta ) \nu ( \zeta - a ) = f ( a )$ ; confidence 0.186

258. r130070137.png ; $= ( F ( . ) , ( h ( \ldots , y ) , ( h ( , x ) , h ( \ldots , x ) ) _ { H } ) _ { H } ) _ { H } =$ ; confidence 0.186

259. s120050115.png ; $\alpha _ { 1 } , \dots , \alpha _ { n }$ ; confidence 0.186

260. c12007036.png ; $H ^ { n } ( C , M ) = \operatorname { lim } _ { L } \leftarrow ^ { n } M$ ; confidence 0.186

261. c120180211.png ; $\tau _ { V }$ ; confidence 0.186

262. i1200404.png ; $f ( z ) = \frac { 1 } { ( 2 \pi i ) ^ { N } } \int _ { b _ { 0 } P } \frac { f ( \zeta ) d \zeta _ { 1 } \ldots d \zeta _ { N } } { ( \zeta _ { 1 } - z _ { 1 } ) \ldots ( \zeta _ { N } - z _ { N } ) } , z \in P$ ; confidence 0.186

263. p13013084.png ; $\hat { S } _ { n }$ ; confidence 0.186

264. e120120132.png ; $\frac { \partial ^ { 2 } } { \partial \theta _ { . } \partial \theta } Q ( \theta | \theta ^ { * } ) = \theta ^ { * }$ ; confidence 0.186

265. i130090106.png ; $p ^ { é } R$ ; confidence 0.185

266. w130080119.png ; $d S _ { A }$ ; confidence 0.185

267. l13001017.png ; $N B$ ; confidence 0.185

268. f1301008.png ; $( l _ { N } ) _ { N = 1 } ^ { \infty } 1$ ; confidence 0.185

269. x12001085.png ; $Q ^ { * } G _ { \text { inn } } = Q \otimes _ { C } C ^ { \dagger } [ G _ { \text { inn } } ]$ ; confidence 0.185

270. d120230147.png ; $D = \operatorname { diag } \{ d _ { 0 } , \dots , d _ { n - 1 } \}$ ; confidence 0.185

271. s12032031.png ; $[ \alpha , b ] = a b - ( - 1 ) ^ { p ( \alpha ) p ( b ) } b a$ ; confidence 0.185

272. c12001098.png ; $\rho _ { j \overline { k } } = \partial ^ { 2 } \rho / \partial z _ { j } \partial z _ { k }$ ; confidence 0.185

273. d0326606.png ; $x _ { 1 } , \dots , x _ { 1 }$ ; confidence 0.185

274. b12029016.png ; $\hat { R } _ { R _ { S } ^ { A } } ^ { A } = \hat { R } _ { S } ^ { A } \text { on } R ^ { n }$ ; confidence 0.185

275. g12007029.png ; $\operatorname { lif } ( R ^ { M } )$ ; confidence 0.185

276. n06663058.png ; $H _ { p } ^ { \gamma } ( R ^ { \gamma } )$ ; confidence 0.185

277. q12007063.png ; $\delta : s | _ { 2 } \rightarrow s | _ { 2 } \otimes s \dot { l } _ { 2 }$ ; confidence 0.185

278. e13003025.png ; $\Omega ^ { \bullet } ( \tilde { M } _ { C } ) \rightleftarrows \operatorname { Hom } _ { K _ { \infty } } ( \Lambda ^ { \bullet } ( \mathfrak { g } / \mathfrak { k } ) , C _ { \infty } ( \Gamma \backslash G ( R ) \otimes M _ { C } ) )$ ; confidence 0.185

279. a1103207.png ; $u _ { m + 1 } ^ { ( i ) } = R _ { 0 } ^ { ( i ) } ( c _ { i } h T ) u _ { m } +$ ; confidence 0.185

280. t13014041.png ; $E _ { g }$ ; confidence 0.184

281. c024850208.png ; $X _ { \alpha }$ ; confidence 0.184

282. b110100380.png ; $0.2$ ; confidence 0.184

283. m13023092.png ; $E \rightarrow Y \backslash \phi ( E )$ ; confidence 0.184

284. f1301006.png ; $( k _ { n } ) _ { n = 1 } ^ { \infty }$ ; confidence 0.184

285. c12003024.png ; $g : I \rightarrow R ^ { m }$ ; confidence 0.184

286. s13034019.png ; $S _ { S } ( M )$ ; confidence 0.184

287. d12015043.png ; $Q [ \zeta _ { \dot { e } } ]$ ; confidence 0.184

288. a130060127.png ; $T ^ { \# } ( n ) \sim C _ { 0 } g _ { 0 } ^ { n } n ^ { - 5 / 2 } \text { asn } \rightarrow \infty$ ; confidence 0.184

289. b110220136.png ; $r _ { D } \otimes R : H _ { M } ^ { i + 1 } ( X , Q ( i + 1 - m ) ) _ { Z } \otimes R \rightarrow H _ { D } ^ { i + 1 } ( X _ { / R } , R ( i + 1 - m ) )$ ; confidence 0.184

290. d13011010.png ; $\alpha _ { y }$ ; confidence 0.184

291. m13026050.png ; $x \rightarrow \| \alpha x \| + \| \alpha x \|$ ; confidence 0.184

292. l12003010.png ; $f ^ { * } \in \text { Homalg } ( H ^ { * } ( Y , F _ { p } ) , H ^ { * } ( X , F _ { p } ) )$ ; confidence 0.183

293. a13029045.png ; $HF _ { * } ^ { \text { inst } } ( Y , P _ { Y } ) \cong HF _ { * } ^ { \text { symp } } ( M ( P ) , L _ { 0 } , L _ { 1 } )$ ; confidence 0.183

294. c12001062.png ; $p ^ { n }$ ; confidence 0.183

295. b12050026.png ; $l ( t , x ) = \operatorname { lim } _ { \epsilon \rightarrow 0 } \frac { 1 } { 2 \varepsilon } \int _ { 0 } ^ { t } 1 ( x - \varepsilon , x + \varepsilon ) ( W _ { s } ) d s$ ; confidence 0.183

296. a12026072.png ; $j$ ; confidence 0.183

297. a13013090.png ; $N$ ; confidence 0.183

298. s1202506.png ; $h _ { n } = \int _ { a } ^ { b } x ^ { n } h ( x ) d x$ ; confidence 0.183

299. w13009078.png ; $\{ \varphi _ { n _ { 1 } , n _ { 2 } , \ldots } : n _ { j } \geq 0 , n _ { 1 } + n _ { 2 } + \ldots = n , n \geq 0 \}$ ; confidence 0.183

300. w130080100.png ; $\partial d S / \partial \alpha j = d \omega j$ ; confidence 0.183

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/NoNroff/72. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/NoNroff/72&oldid=45695