Difference between revisions of "User:Maximilian Janisch/latexlist/latex/NoNroff/31"

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List

1. ; $Q _ { j } = X _ { j }$ ; confidence 0.924

2. ; $d = - H _ { c } ^ { - 1 } \nabla f ( x _ { c } )$ ; confidence 0.924

3. ; $n _ { i } \geq 1$ ; confidence 0.924

4. ; $[ K , L ] = - ( - 1 ) ^ { k l } [ L , K ],$ ; confidence 0.924

5. ; $\lim \inf _{x \rightarrow \infty} \operatorname { log } Q ( x ) / \operatorname { log } \operatorname { log } x \geq 5 / 48$ ; confidence 0.924

6. ; $u \in \overline { U M }$ ; confidence 0.924

7. ; $x ^ { n } - y ^ { n } = z ^ { n }$ ; confidence 0.924

8. ; $N _ { j } \in ( 0 , Z _ { j } )$ ; confidence 0.924

9. ; $\lambda _ { 1 }$ ; confidence 0.924

10. ; $K ( m )$ ; confidence 0.924

11. ; $\dim_{ \text{C} } M = 1$ ; confidence 0.924

12. ; $n _ { i j } > 0$ ; confidence 0.924

13. ; $\sum _ { z : x \leq z \leq y } \mu ( x , z ) = 0 \text { if } x < y.$ ; confidence 0.924

14. ; $\varrho : H \rightarrow \mathbf{C} ^ { * }$ ; confidence 0.924

15. ; $C ^ { 0 } ( \Gamma , k + 2 , \overline{\mathbf{v}} ) \oplus C ^ { 0 } ( \Gamma , k + 2 , \mathbf{v} )$ ; confidence 0.923

16. ; $( a , \eta ( a ) )$ ; confidence 0.923

17. ; $\beta _ { 11 } = \beta _ { 21 }$ ; confidence 0.923

18. ; $D ( a , R ) =$ ; confidence 0.923

19. ; $U \subset M$ ; confidence 0.923

20. ; $\varphi \in \mathcal{A} _ { N } ( \mathbf{R} ^ { n } )$ ; confidence 0.923

21. ; $x ^ { * } R y$ ; confidence 0.923

22. ; $( z _ { j } , t _ { j } )$ ; confidence 0.923

23. ; $v = ( v _ { j } )$ ; confidence 0.923

24. ; $N = \int \rho$ ; confidence 0.923

25. ; $p ^ { m }$ ; confidence 0.923

26. ; $\xi _ { 1 } \xi _ { 2 } \equiv \pi ( \xi _ { 1 } ) \xi _ { 2 }$ ; confidence 0.923

27. ; $L _ { 2 } ( X )$ ; confidence 0.923

28. ; $\operatorname { Ext } _ { A } ^ { 1 } ( T , T ) = 0$ ; confidence 0.923

29. ; $| x | < 1$ ; confidence 0.923

30. ; $x , y \in \mathcal{D} ( T )$ ; confidence 0.923

31. ; $Q ( x ) \geq \operatorname { Clog } x \operatorname { log } \operatorname { log } x / ( \operatorname { log } \operatorname { log } \operatorname { log } x ) ^ { 2 }$ ; confidence 0.923

32. ; $X = \mathcal{H}$ ; confidence 0.923

33. ; $F \circ f \in \mathcal{A}$ ; confidence 0.923

34. ; $C _ { G } ( x )$ ; confidence 0.923

35. ; $K _ { 0 } ( \mathcal{O} _ { \infty } ) = \mathbf{Z}$ ; confidence 0.923

36. ; $M _ { 2 } \times S ^ { N }$ ; confidence 0.923

37. ; $L = \angle \operatorname { lim } _ { z \rightarrow \omega } f ( z ).$ ; confidence 0.923

38. ; $\nu = 0$ ; confidence 0.923

39. ; $I$ ; confidence 0.923

40. ; $x e = x$ ; confidence 0.923

41. ; $N \in \mathbf{N} \backslash \{ 0 \}$ ; confidence 0.923

42. ; $Y _ { \text{obs} } = \mathcal{M} ( Y _ { \text{aug} } )$ ; confidence 0.923

43. ; $v = \operatorname { tanh } ( J / k _ { B } T )$ ; confidence 0.923

44. ; $( I , \preceq )$ ; confidence 0.923

45. ; $x \in B$ ; confidence 0.923

46. ; $Q ( n )$ ; confidence 0.923

47. ; $\alpha ^ { \prime }$ ; confidence 0.923

48. ; $c > 1$ ; confidence 0.923

49. ; $A _ { j } \in C ^ { n \times n }$ ; confidence 0.923

50. ; $G _ { \mu } ^ { * }$ ; confidence 0.922

51. ; $( a , b ) \mapsto a \square b ^ { * }$ ; confidence 0.922

52. ; $\sum _ { i = 1 } ^ { k } A _ { i } A _ { i } ^ { T } = k m I _ { m }$ ; confidence 0.922

53. ; $a , b , x$ ; confidence 0.922

54. ; $U \geq f ( X ) / h ( X )$ ; confidence 0.922

55. ; $| \nabla L |$ ; confidence 0.922

56. ; $\{ z \in \mathbf{C} : | z | < \epsilon \} \backslash ( - \infty , 0 ]$ ; confidence 0.922

57. ; $( i , \alpha )$ ; confidence 0.922

58. ; $\{ \mathbf{p} _ { j } , \mathbf{p} _ { k } \} = \{ \mathbf{q} _ { j } , \mathbf{q} _ { k } \} = 0 , \quad \{ \mathbf{p} _ { j } , \mathbf{q} _ { k } \} = \delta _ { j k }.$ ; confidence 0.922

59. ; $\zeta _ { \lambda } ^ { \prime }$ ; confidence 0.922

60. ; $< \varepsilon _ { i }$ ; confidence 0.922

61. ; $\zeta \in \mathbf{C} ^ { k }$ ; confidence 0.922

62. ; $S _ { H }$ ; confidence 0.922

63. ; $\mathfrak { A } \sim _ { l } \mathfrak { B }$ ; confidence 0.922

64. ; $q _ { 2 } ( . ) \in L ^ { 1 } ( 0 , \infty )$ ; confidence 0.922

65. ; $r:K _ { 2 } ( X ) \rightarrow H ^ { 1 } ( X ( \mathbf{C} ) , \mathbf{R} ( 1 ) )$ ; confidence 0.922

66. ; $X \rightarrow Y$ ; confidence 0.922

67. ; $\phi \in \Gamma ( V _ { + } )$ ; confidence 0.922

68. ; $\mathbf{E} ^ { \prime }$ ; confidence 0.922

69. ; $( \Gamma _ { A } ) _ { s }$ ; confidence 0.922

70. ; $T _ { A } M = \operatorname { Hom } ( C ^ { \infty } ( M , \mathbf{R} ) , A ),$ ; confidence 0.922

71. ; $O ( h ^ { k } )$ ; confidence 0.922

72. ; $\varrho : B \rightarrow \mathbf{C} ^ { * }$ ; confidence 0.922

73. ; $\chi = 2 g \phi$ ; confidence 0.922

74. ; $C _ { C A }$ ; confidence 0.922

75. ; $\beta _ { i 0 } + \beta _ { i 1 } t + \ldots + \beta _ { i k } t ^ { k }$ ; confidence 0.922

76. ; $i \in I$ ; confidence 0.922

77. ; $n ^ { \prime } / n \leq 1 + 1 / \sqrt { \operatorname { log } n }$ ; confidence 0.921

78. ; $X ^ { * } = X _ { c } ^ { * } \oplus X _ { s } ^ { * }$ ; confidence 0.921

79. ; $E T _ { p q } - A _ { 0 } T _ { p - 1 , q - 1 } - A _ { 1 } T _ { p , q - 1 } - A _ { 2 } T _ { p - 1 , q } =$ ; confidence 0.921

80. ; $\cosh \delta = x ^ { 0 } y ^ { 0 } - \sum x ^ { t } y ^ { t }.$ ; confidence 0.921

81. ; $\phi _ { 2 } \circ \phi _ { 1 } = \phi _ { 3 } \circ \phi _ { 4 }$ ; confidence 0.921

82. ; $( T _ { i j } ) _ { 1 } ^ { 2 }$ ; confidence 0.921

83. ; $\Sigma ^ { n } \mathcal{A} / \{ Sq ^ { i } : 2 i > n \} \mathcal{A} \cong G ( n ).$ ; confidence 0.921

84. ; $( \phi _ { 1 } \vee \ldots \vee \phi _ { n } )$ ; confidence 0.921

85. ; $\Delta = \left( \begin{array} { l } { n } \\ { 4 } \end{array} \right) \left( \begin{array} { l } { 4 } \\ { 2 } \end{array} \right) p ^ { 5 }$ ; confidence 0.921

86. ; $\mathfrak { A } = ( A , f _ { \mathfrak { A } } )$ ; confidence 0.921

87. ; $x , y \in G _ { 1 }$ ; confidence 0.921

88. ; $U h ( x ) = h ( T x ) \quad \text { or } \quad U _ { t } h ( x ) = h ( T _ { t } ( x ) ).$ ; confidence 0.921

89. ; $[ \pi ( X _* ) , C ] \cong [ X , B C ]$ ; confidence 0.921

90. ; $h _ { t } ( s ) = h ( ( s - t ) / \operatorname { log } | t | ) / \operatorname { log } | t | $ ; confidence 0.921

91. ; $A ( i , 0 ) = A ( i - 1,1 ) \text { for } i \geq 1 , A ( i , n ) = A ( i - 1 , A ( i , n - 1 ) ) \text { for } i \geq 1 , n \geq 1.$ ; confidence 0.921

92. ; $F _ { j } ( u ) = \int a _ { j } ( \xi ) M ( u , \xi ) d \xi ,$ ; confidence 0.921

93. ; $C _ { B _ { 2 } } ( f ) \geq 2 ^ { n } / n$ ; confidence 0.921

94. ; $f : \overline{P} \rightarrow \mathbf{C}$ ; confidence 0.921

95. ; $u ( y ; t ) = 0 \text { for } y \in C _ { D } , t > 0.$ ; confidence 0.921

96. ; $E _ { [ \theta n ] } ( f ) = O ( E _ { n } ( f ) )$ ; confidence 0.921

97. ; $v \neq 0$ ; confidence 0.921

98. ; $L = \partial ^ { n + 1 } - q _ { 1 } \partial ^ { n - 1 } - \ldots - q _ { n }$ ; confidence 0.921

99. ; $C ( S ) \otimes \pi _ { k } ( T ) + \pi _{\text{l}} ( S ) \otimes C ( T )$ ; confidence 0.921

100. ; $x \notin S$ ; confidence 0.921

101. ; $K ( \mathcal{H} )$ ; confidence 0.921

102. ; $A u \in C ( [ 0 , T ] ; X )$ ; confidence 0.921

103. ; $\operatorname { det } ( T )$ ; confidence 0.921

104. ; $\mathbf{E} ^ { 2 }$ ; confidence 0.921

105. ; $k \eta$ ; confidence 0.921

106. ; $B \gg Z ^ { 3 }$ ; confidence 0.921

107. ; $h ^ { I I } ( z )$ ; confidence 0.921

108. ; $1 \leq i _ { 1 } < \ldots < i _ { k } \leq n$ ; confidence 0.921

109. ; $C ( \beta )$ ; confidence 0.921

110. ; $h ( x ) = \frac { ( 1 - x ^ { 2 } ) ^ { \pm 1 / 2 } } { \rho _ { m } ( x ) },$ ; confidence 0.921

111. ; $h : \mathbf{R} _ { + } \times \mathbf{R} ^ { n } \times \mathbf{R} ^ { m } \rightarrow \mathbf{R} ^ { m }$ ; confidence 0.921

112. ; $\operatorname{ACS}$ ; confidence 0.921

113. ; $X \sim E _ { p , n } ( M , \Sigma \otimes \Phi , \psi )$ ; confidence 0.921

114. ; $S ( T , \alpha )$ ; confidence 0.920

115. ; $N > 1$ ; confidence 0.920

116. ; $T X - I$ ; confidence 0.920

117. ; $\overline { u } _ { 1 } \geq 0$ ; confidence 0.920

118. ; $\nabla . E = \rho$ ; confidence 0.920

119. ; $L w , K v$ ; confidence 0.920

120. ; $\zeta z = \zeta _ { 1 } z _ { 1 } + \ldots + \zeta _ { n } z _ { n }$ ; confidence 0.920

121. ; $G _ { \Omega } ( x , y )$ ; confidence 0.920

122. ; $\operatorname { lim } _ { r \rightarrow 1 } \int _ { 0 } ^ { 2 \pi } | f ( r e ^ { i \theta } ) - f ( e ^ { i \theta } ) | ^ { \delta } d \theta = 0,$ ; confidence 0.920

123. ; $A = ( I + T ) ( I - T ) ^ { - 1 } , \quad 1 \notin \sigma _ { p } ( T )$ ; confidence 0.920

124. ; $F : X \rightarrow X$ ; confidence 0.920

125. ; $\partial$ ; confidence 0.920

126. ; $h \in \operatorname { SPSH } ( \Omega \times \Omega ) , h < 0,$ ; confidence 0.920

127. ; $n _ { S } < n$ ; confidence 0.920

128. ; $b _ { 2 } i + 1 ( \mathcal{S} ) = 0$ ; confidence 0.920

129. ; $x \preceq y \Rightarrow z x t \preceq x y t.$ ; confidence 0.920

130. ; $k = 8$ ; confidence 0.920

131. ; $( h ( s , y ) , \delta _ { m } ( t - s ) ) _ { \mathcal{H} } = h ( t , y )$ ; confidence 0.920

132. ; $\Lambda _ { G }$ ; confidence 0.920

133. ; $\{ x : f ( x ) > \alpha \}$ ; confidence 0.920

134. ; $\mathbf{p} = \{ p _ { i } : i \in \Gamma \}$ ; confidence 0.920

135. ; $\mathcal{I} = \langle x \otimes y - B ( x \otimes y ) \rangle$ ; confidence 0.920

136. ; $r ( x , t | x _ { 0 } , \sigma ( Y ( u ) , u \leq t ) ) =$ ; confidence 0.920

137. ; $J B ^ { * }$ ; confidence 0.920

138. ; $\phi _ { t } ^ { k }$ ; confidence 0.920

139. ; $( x _ { j } - x _ { k } ) ( y _ { j } - y _ { k } ) > 0$ ; confidence 0.920

140. ; $X \rightarrow Y \leftarrow X ^ { + }$ ; confidence 0.920

141. ; $h_{ i , j } = s _ { i + j - 1 }$ ; confidence 0.920

142. ; $K G$ ; confidence 0.920

143. ; $r < 1 < R$ ; confidence 0.920

144. ; $T = T _ { \varphi } + C$ ; confidence 0.920

145. ; $Kn = \frac { \lambda } { l }.$ ; confidence 0.920

146. ; $U \in \operatorname{SGL} _ { n } ( \Gamma )$ ; confidence 0.919

147. ; $V ( T , F _ { \theta } ) = \int \operatorname { IF } ( x ; T , F _ { \theta } ) ^ { 2 } d F _ { \theta } ( x )$ ; confidence 0.919

148. ; $\operatorname { sn } ( u | k )$ ; confidence 0.919

149. ; $\operatorname{S} 5 ^ { S }$ ; confidence 0.919

150. ; $\operatorname { spt } ( \| \nu \| ) \cap B ( a , ( 1 - \epsilon ) R )$ ; confidence 0.919

151. ; $\operatorname{codom}_{G'} \circ d _ { A } = d _ { 0 } \circ \operatorname{codom}_{G}$ ; confidence 0.919

152. ; $\operatorname { Re } z > 0$ ; confidence 0.919

153. ; $P \subseteq P ^ { \prime }$ ; confidence 0.919

154. ; $\operatorname { Re } \mu _ { 0 } ( k , R ) < 0$ ; confidence 0.919

155. ; $\sum _ { k = 1 } ^ { \infty } \left( \frac { ( 2 k + 1 ) ! } { k ! ( k + 1 ) ! } \right) ^ { 2 } \frac { 2 ^ { - 4 k } } { k } =$ ; confidence 0.919

156. ; $d_Y$ ; confidence 0.919

157. ; $T _ { n } ( . ) = Z _ { n } (\, . \, ; 0 )$ ; confidence 0.919

158. ; $X \sim \operatorname { LS } _ { p , n } ( \phi )$ ; confidence 0.919

159. ; $w _ { 2 } = ( 1 - \operatorname { sign } ( c ) ) / 2$ ; confidence 0.919

160. ; $d ( Q )$ ; confidence 0.919

161. ; $N \geq Z$ ; confidence 0.919

162. ; $( k , \Sigma )$ ; confidence 0.919

163. ; $\operatorname { Im } T = K J K ^ { * }$ ; confidence 0.919

164. ; $g _ { \alpha } ( t ) = \frac { 1 } { 2 \sqrt { \pi \alpha } } e ^ { - t ^ { 2 } / ( 4 \alpha ) } , \alpha > 0.$ ; confidence 0.919

165. ; $H \equiv - \frac { \partial ^ { 2 } } { \partial \theta . \partial \theta } \int f ( \theta , \phi ) d \phi | _ { \theta = \theta ^ { * } },$ ; confidence 0.919

166. ; $U _ { \xi } \subset _{*} U _ { \eta }$ ; confidence 0.919

167. ; $f _ { l }$ ; confidence 0.919

168. ; $\phi / \| \phi \|$ ; confidence 0.919

169. ; $\mathcal{L} [ ( \Lambda _ { n } , T _ { n } ) | P _ { n } ] \Rightarrow \tilde{\mathcal{L}}$ ; confidence 0.919

170. ; $S A ( t ) S ^ { - 1 } = A ( t ) + B ( t ) , \quad t \in [ 0 , T ],$ ; confidence 0.919

171. ; $x , y \in \mathcal{D}$ ; confidence 0.919

172. ; $\beta : G \times G \rightarrow k ^ { * }$ ; confidence 0.919

173. ; $\operatorname { Im } [ T x , x ] \geq 0$ ; confidence 0.919

174. ; $\| . \| _ { 2 }$ ; confidence 0.919

175. ; $\| \rho \| _ { L ^ { p } ( R ^ { 2 } ) } \leq B _ { p } m ^ { - 2 / p } N ^ { 1 / p }$ ; confidence 0.919

176. ; $S _ { 0 } = S _ { \mu }$ ; confidence 0.919

177. ; $S _ { i } = \operatorname { rank } ( y _ { i } )$ ; confidence 0.919

178. ; $E = I _ { n }$ ; confidence 0.918

179. ; $S _ { k } ( f , x )$ ; confidence 0.918

180. ; $\lambda > 0$ ; confidence 0.918

181. ; $f ( ( A Z + B ) ( C Z + D ) ^ { - 1 } ) = \operatorname { det } ( C Z + D ) ^ { k } f ( Z ),$ ; confidence 0.918

182. ; $\operatorname { Im } T = ( T - T ^ { * } ) / 2 i$ ; confidence 0.918

183. ; $r : X \times Y \supset \Gamma ( F ) \rightarrow Y$ ; confidence 0.918

184. ; $\alpha_j$ ; confidence 0.918

185. ; $\lambda _ { 1 } \geq \lambda _ { 2 } \geq \ldots \geq 0$ ; confidence 0.918

186. ; $\mathcal{S} ^ { \prime } ( \mathbf{R} )$ ; confidence 0.918

187. ; $g > 1$ ; confidence 0.918

188. ; $R _ { \Gamma , n } = 1$ ; confidence 0.918

189. ; $\mathcal{O} _ { K }$ ; confidence 0.918

190. ; $\{ v _ { \alpha } : \alpha \in A \}$ ; confidence 0.918

191. ; $R = \sum _ { n > 0 } R ^ { n }$ ; confidence 0.918

192. ; $|.| v$ ; confidence 0.918

193. ; $s ( D _ { 3_{1} } ) = 2$ ; confidence 0.918

194. ; $x ^ { t } = \operatorname { sinh } u ^ { t } \operatorname { cosh } u ^ { t + 1 } \ldots \operatorname { cosh } u ^ { n },$ ; confidence 0.918

195. ; $D _ { S }$ ; confidence 0.918

196. ; $( \mathcal{T} , \mathcal{F} )$ ; confidence 0.918

197. ; $c _ { \mu } f + T _ { \mu } f$ ; confidence 0.918

198. ; $( m _ { j } ^ { + } ) ^ { 2 }$ ; confidence 0.918

199. ; $Y = X$ ; confidence 0.918

200. ; $n = r _ { 1 } + 2 r _ { 2 }$ ; confidence 0.918

201. ; $\{ s \in \mathbf{C} : i / 2 \leq \operatorname { Re } ( s ) \leq 1 + i / 2 \}$ ; confidence 0.918

202. ; $m ( 1 + x + y ) = L ^ { \prime } ( - 1 , \chi _{- 3} )$ ; confidence 0.918

203. ; $I ( \rho ) = \frac { d \rho } { d ( \mu \times \mu ) }$ ; confidence 0.918

204. ; $Q ^ { + } Q ^ { - } ( Q ^ { + } \psi _ { \lambda } ) = \lambda ( Q ^ { + } \psi _ { \lambda } )$ ; confidence 0.918

205. ; $i \in S$ ; confidence 0.918

206. ; $f _{ ( 2 ) } ( x _ { 0 } )$ ; confidence 0.918

207. ; $[ T x , y ] = [ x , T ^ { + } y ]$ ; confidence 0.918

208. ; $g _ { \Phi } ( t ) = \Phi ^ { - 1 } ( t ) t ^ { - 1 - 1 / n }$ ; confidence 0.918

209. ; $v _ { \varepsilon } ( \alpha , \theta ) \in L ^ { 2 } ( S ^ { 2 } )$ ; confidence 0.918

210. ; $K _ { 0 } ^ { n + 1 } \searrow K _ { 1 }$ ; confidence 0.917

211. ; $x _ { 0 } ^ { - 1 } \delta \left( \frac { x _ { 1 } - x _ { 2 } } { x _ { 0 } } \right) Y ( u , x _ { 1 } ) Y ( v , x _ { 2 } ) +$ ; confidence 0.917

212. ; $0 \neq \mathcal{K} _ { 0 } \subset \mathcal{H} ( \pi )$ ; confidence 0.917

213. ; $C ^ { * } ( G )$ ; confidence 0.917

214. ; $\hbar = h / 2 \pi$ ; confidence 0.917

215. ; $u , v \in C$ ; confidence 0.917

216. ; $\pi _ { 0 } \operatorname { Map } ( B E , X ) = [ B E , X ] = \operatorname { Hom } _ { \mathcal{K} } ( H ^ { * } X , H ^ { * } B E )$ ; confidence 0.917

217. ; $\gamma P ( X , Y ) = P ( a X + c Y , b X + d Y ) \operatorname { det } ( \gamma ) ^ { d }$ ; confidence 0.917

218. ; $\sigma ( A ) \subseteq \cup _ { i = 1 } ^ { n } G _ { i } ( A ).$ ; confidence 0.917

219. ; $Y \times K \simeq Z \times K$ ; confidence 0.917

220. ; $\lambda = \omega ^ { 2 }$ ; confidence 0.917

221. ; $Z _ { 32 } , Z _ { 33 }$ ; confidence 0.917

222. ; $E _ { 7 }$ ; confidence 0.917

223. ; $N - 1$ ; confidence 0.917

224. ; $q < n$ ; confidence 0.917

225. ; $Z _ { 12 }$ ; confidence 0.917

226. ; $U ( t ) = \sum _ { 1 } ^ { \infty } P ( S _ { k } \leq t ) = \sum _ { 1 } ^ { \infty } F ^ { ( k ) } ( t )$ ; confidence 0.917

227. ; $p \hat { k }$ ; confidence 0.917

228. ; $k = k _ { c }$ ; confidence 0.917

229. ; $D = \{ z \in C ^ { n } : | z _ { 1 } | ^ { 2 } + \ldots + | z _ { n } | ^ { 2 } < 1 \}$ ; confidence 0.917

230. ; $T M _ { g }$ ; confidence 0.917

231. ; $( \int _ { - \infty } ^ { \infty } ( x - a ) ^ { 2 } | f ( x ) | ^ { 2 } d x ) ( \int _ { - \infty } ^ { \infty } ( y - b ) ^ { 2 } | \hat { f } ( y ) | ^ { 2 } d y ) \geq$ ; confidence 0.917

232. ; $PG ( 4,9 )$ ; confidence 0.917

233. ; $D \in M _ { n \times n } ( K )$ ; confidence 0.917

234. ; $Y ^ { * }$ ; confidence 0.917

235. ; $U ( t ) \equiv E N ( t )$ ; confidence 0.917

236. ; $\tau _ { n } = \frac { S } { \sqrt { n ( n - 1 ) / 2 - T } \sqrt { n ( n - 1 ) / 2 - U } }$ ; confidence 0.917

237. ; $U _ { m + n } ( x ) = U _ { m + 1 } ( x ) U _ { n } ( x ) + U _ { m } ( x ) U _ { n - 1 } ( x )$ ; confidence 0.917

238. ; $\rho ( \lambda ) = \sum _ { j = 1 } ^ { \kappa } [ d _ { j } / 2 ]$ ; confidence 0.917

239. ; $A v _ { i } = v _ { i } + 1$ ; confidence 0.917

240. ; $w _ { 2 } ( P _ { Y } ) \neq 0$ ; confidence 0.917

241. ; $L _ { \gamma , 1 } ^ { 1 } = L _ { \gamma , 1 }$ ; confidence 0.917

242. ; $( p - 1 ) p ^ { h } | 2 n$ ; confidence 0.917

243. ; $X ^ { 1 } \vee S ^ { 1 } \vee \ldots \vee S ^ { 1 }$ ; confidence 0.916

244. ; $y \in R ^ { x }$ ; confidence 0.916

245. ; $N ^ { 2 }$ ; confidence 0.916

246. ; $\psi ( k , n ) > 0$ ; confidence 0.916

247. ; $C ( N )$ ; confidence 0.916

248. ; $b _ { p } ^ { ( 2 ) }$ ; confidence 0.916

249. ; $C ^ { n } ( C , M )$ ; confidence 0.916

250. ; $\operatorname { Re } G _ { 2 } ( r ) \geq A$ ; confidence 0.916

251. ; $GL ^ { 1 } ( n ) = GL ( n )$ ; confidence 0.916

252. ; $m : \Sigma \rightarrow [ 0 , \infty )$ ; confidence 0.916

253. ; $C ( \beta ) = \prod _ { j = 1 } ^ { n } \frac { \operatorname { exp } ( z _ { j } ^ { T } ( T _ { j } ) \beta ) } { \sum _ { k \in R _ { j } } \operatorname { exp } ( z _ { k } ^ { T } ( T _ { j } ) \beta ) }$ ; confidence 0.916

254. ; $H = K \oplus K ^ { \prime }$ ; confidence 0.916

255. ; $\angle \operatorname { lim } _ { z \rightarrow \omega } F ( z ) = \omega$ ; confidence 0.916

256. ; $x _ { t } ( \theta ) = x ( t + \theta ) , \theta \in J _ { t } \subseteq ( - \infty , 0 ]$ ; confidence 0.916

257. ; $m > 3$ ; confidence 0.916

258. ; $S ( p ) = U ( 1 ) _ { p } \backslash U ( n + 2 ) / U ( n )$ ; confidence 0.916

259. ; $\mathfrak { g } ^ { \alpha } \times \mathfrak { g } ^ { - \alpha }$ ; confidence 0.916

260. ; $b _ { 2 } + = 1$ ; confidence 0.916

261. ; $\sum _ { j \geq 0 } \alpha _ { j } z ^ { j }$ ; confidence 0.916

262. ; $( FBL ( X , Y ) , FBL ( Y , X ) )$ ; confidence 0.916

263. ; $\vec { D }$ ; confidence 0.916

264. ; $\partial T ( h ) = \partial F \times S ^ { 1 }$ ; confidence 0.916

265. ; $W ^ { n } = ( M , g , \gamma )$ ; confidence 0.916

266. ; $B = ( C ^ { \infty } ( \Omega ) ) ^ { \Lambda }$ ; confidence 0.916

267. ; $P _ { m }$ ; confidence 0.916

268. ; $L _ { 1 } ( \hat { G } )$ ; confidence 0.916

269. ; $\langle u - v , j \rangle \leq 0$ ; confidence 0.916

270. ; $J = \frac { 1 } { f } \left( \begin{array} { c c } { 1 } & { - \psi } \\ { - \psi } & { \psi ^ { 2 } + r ^ { 2 } f ^ { 2 } } \end{array} \right)$ ; confidence 0.916

271. ; $\Gamma \vdash M : \sigma$ ; confidence 0.916

272. ; $\in N$ ; confidence 0.916

273. ; $+ ( \lambda ) > 0$ ; confidence 0.916

274. ; $\varphi _ { 1 } + \tilde { \varphi } _ { 2 }$ ; confidence 0.916

275. ; $\pm [ \operatorname { exp } ( \frac { 2 J } { k _ { B } T } ) \operatorname { cosh } ^ { 2 } ( \frac { H } { k _ { B } T } ) - 2 \operatorname { sinh } ( \frac { 2 J } { k _ { B } T } ) ] ^ { 1 / 2 }$ ; confidence 0.916

276. ; $U ^ { \prime } P T ^ { \prime }$ ; confidence 0.916

277. ; $D _ { A } = \left( \begin{array} { l l } { 0 } & { 0 } \\ { A } & { 0 } \end{array} \right)$ ; confidence 0.915

278. ; $A ( a , b )$ ; confidence 0.915

279. ; $T _ { f }$ ; confidence 0.915

280. ; $[ T x , T x ] \leq [ x , x ]$ ; confidence 0.915

281. ; $D _ { X } \in \operatorname { Der } _ { k } \wedge T _ { X } ^ { * } M$ ; confidence 0.915

282. ; $Q$ ; confidence 0.915

283. ; $T$ ; confidence 0.915

284. ; $X ^ { 2 } ( \tilde { \theta } _ { n } )$ ; confidence 0.915

285. ; $a , b$ ; confidence 0.915

286. ; $H _ { b } ( U )$ ; confidence 0.915

287. ; $x ^ { T } = \prod _ { i \in T } x _ { i }$ ; confidence 0.915

288. ; $L _ { 0 } = D$ ; confidence 0.915

289. ; $\gamma \cap \alpha _ { 1 } = \ldots = \gamma \cap \alpha _ { q } = \emptyset$ ; confidence 0.915

290. ; $1 + \lambda$ ; confidence 0.915

291. ; $K$ ; confidence 0.915

292. ; $\hat { f } ( \alpha , p )$ ; confidence 0.915

293. ; $( Q _ { 1 } , \mu _ { 1 } )$ ; confidence 0.915

294. ; $\psi _ { \pm }$ ; confidence 0.915

295. ; $( R ^ { n } )$ ; confidence 0.915

296. ; $\square ^ { \prime } \Gamma$ ; confidence 0.915

297. ; $\alpha \in A [ [ X ] ]$ ; confidence 0.915

298. ; $Z ^ { 4 / 3 } \ll B \ll Z ^ { 3 }$ ; confidence 0.915

299. ; $P _ { k } = \hbar D _ { k } = \frac { \hbar } { i } \frac { \partial } { \partial x _ { k } }$ ; confidence 0.915

300. ; $X ^ { P }$ ; confidence 0.915

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/NoNroff/31. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/NoNroff/31&oldid=45296

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Revision as of 15:41, 7 April 2020

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@@ Line 6: / Line 6: @@
 . https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290179.png ; $n _ { i } \geq 1$ ; confidence 0.924
-. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f1202306.png ; $[ K , L ] = - ( - 1 ) ^ { k l } [ L , K ]$ ; confidence 0.924
+. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f1202306.png ; $[ K , L ] = - ( - 1 ) ^ { k l } [ L , K ],$ ; confidence 0.924
-. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007078.png ; $\rightarrow \infty \operatorname { log } Q ( x ) / \operatorname { log } \operatorname { log } x \geq 5 / 48$ ; confidence 0.924
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007078.png ; $\lim \inf _{x \rightarrow \infty}  \operatorname { log } Q ( x ) / \operatorname { log } \operatorname { log } x \geq 5 / 48$ ; confidence 0.924
 . https://www.encyclopediaofmath.org/legacyimages/s/s130/s130020/s13002043.png ; $u \in \overline { U M }$ ; confidence 0.924
@@ Line 20: / Line 20: @@
 . https://www.encyclopediaofmath.org/legacyimages/d/d130/d130050/d1300508.png ; $K ( m )$ ; confidence 0.924
-. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055070/k05507015.png ; $M = 1$ ; confidence 0.924
+. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055070/k05507015.png ; $\dim_{ \text{C} } M = 1$ ; confidence 0.924
 . https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n06752076.png ; $n _ { i j } > 0$ ; confidence 0.924
-. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130180/m13018010.png ; $\sum _ { z : x \leq z \leq y } \mu ( x , z ) = 0 \text { if } x < y$ ; confidence 0.924
+. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130180/m13018010.png ; $\sum _ { z : x \leq z \leq y } \mu ( x , z ) = 0 \text { if } x < y.$ ; confidence 0.924
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040048.png ; $\varrho : H \rightarrow C ^ { * }$ ; confidence 0.924
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040048.png ; $\varrho : H \rightarrow \mathbf{C} ^ { * }$ ; confidence 0.924
-. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120070/e120070106.png ; $C ^ { 0 } ( \Gamma , k + 2 , v ) \oplus C ^ { 0 } ( \Gamma , k + 2 , v )$ ; confidence 0.923
+. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120070/e120070106.png ; $C ^ { 0 } ( \Gamma , k + 2 , \overline{\mathbf{v}} ) \oplus C ^ { 0 } ( \Gamma , k + 2 , \mathbf{v} )$ ; confidence 0.923
 . https://www.encyclopediaofmath.org/legacyimages/d/d110/d110220/d11022017.png ; $( a , \eta ( a ) )$ ; confidence 0.923
@@ Line 38: / Line 38: @@
 . https://www.encyclopediaofmath.org/legacyimages/d/d032/d032130/d03213025.png ; $U \subset M$ ; confidence 0.923
-. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130150/c13015016.png ; $\varphi \in A _ { N } ( R ^ { n } )$ ; confidence 0.923
+. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130150/c13015016.png ; $\varphi \in \mathcal{A} _ { N } ( \mathbf{R} ^ { n } )$ ; confidence 0.923
 . https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023066.png ; $x ^ { * } R y$ ; confidence 0.923
@@ Line 58: / Line 58: @@
 . https://www.encyclopediaofmath.org/legacyimages/p/p120/p120130/p1201309.png ; $| x | < 1$ ; confidence 0.923
-. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840157.png ; $x , y \in D ( T )$ ; confidence 0.923
+. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840157.png ; $x , y \in \mathcal{D} ( T )$ ; confidence 0.923
 . https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007077.png ; $Q ( x ) \geq \operatorname { Clog } x \operatorname { log } \operatorname { log } x / ( \operatorname { log } \operatorname { log } \operatorname { log } x ) ^ { 2 }$ ; confidence 0.923
-. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130080/d13008057.png ; $X = H$ ; confidence 0.923
+. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130080/d13008057.png ; $X = \mathcal{H}$ ; confidence 0.923
-. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130120/b130120119.png ; $F \circ f \in A$ ; confidence 0.923
+. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130120/b130120119.png ; $F \circ f \in \mathcal{A}$ ; confidence 0.923
 . https://www.encyclopediaofmath.org/legacyimages/b/b120/b120460/b12046015.png ; $C _ { G } ( x )$ ; confidence 0.923
-. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120300/c12030075.png ; $K _ { 0 } ( O _ { \infty } ) = Z$ ; confidence 0.923
+. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120300/c12030075.png ; $K _ { 0 } ( \mathcal{O} _ { \infty } ) = \mathbf{Z}$ ; confidence 0.923
 . https://www.encyclopediaofmath.org/legacyimages/h/h046/h046010/h046010125.png ; $M _ { 2 } \times S ^ { N }$ ; confidence 0.923
-. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130070/j13007031.png ; $L = \angle \operatorname { lim } _ { z \rightarrow \omega } f ( z )$ ; confidence 0.923
+. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130070/j13007031.png ; $L = \angle \operatorname { lim } _ { z \rightarrow \omega } f ( z ).$ ; confidence 0.923
 . https://www.encyclopediaofmath.org/legacyimages/h/h048/h048190/h0481908.png ; $\nu = 0$ ; confidence 0.923
@@ Line 80: / Line 80: @@
 . https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m130260203.png ; $x e = x$ ; confidence 0.923
-. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130030/d1300309.png ; $N \in N \backslash \{ 0 \}$ ; confidence 0.923
+. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130030/d1300309.png ; $N \in \mathbf{N} \backslash \{ 0 \}$ ; confidence 0.923
-. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e12012027.png ; $Y _ { obs } = M ( Y _ { aug } )$ ; confidence 0.923
+. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e12012027.png ; $Y _ { \text{obs} } = \mathcal{M} ( Y _ { \text{aug} } )$ ; confidence 0.923
 . https://www.encyclopediaofmath.org/legacyimages/i/i120/i120080/i120080129.png ; $v = \operatorname { tanh } ( J / k _ { B } T )$ ; confidence 0.923
@@ Line 110: / Line 110: @@
 . https://www.encyclopediaofmath.org/legacyimages/c/c120/c120250/c1202501.png ; $| \nabla L |$ ; confidence 0.922
-. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f12021011.png ; $\{ z \in C : | z | < \epsilon \} \backslash ( - \infty , 0 ]$ ; confidence 0.922
+. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f12021011.png ; $\{ z \in \mathbf{C} : | z | < \epsilon \} \backslash ( - \infty , 0 ]$ ; confidence 0.922
 . https://www.encyclopediaofmath.org/legacyimages/r/r130/r130100/r13010048.png ; $( i , \alpha )$ ; confidence 0.922
-. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w12007012.png ; $\{ p _ { j } , p _ { k } \} = \{ q _ { j } , q _ { k } \} = 0 , \quad \{ p _ { j } , q _ { k } \} = \delta _ { j k }$ ; confidence 0.922
+. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w12007012.png ; $\{ \mathbf{p} _ { j } , \mathbf{p} _ { k } \} = \{ \mathbf{q} _ { j } , \mathbf{q} _ { k } \} = 0 , \quad \{ \mathbf{p} _ { j } , \mathbf{q} _ { k } \} = \delta _ { j k }.$ ; confidence 0.922
 . https://www.encyclopediaofmath.org/legacyimages/p/p130/p130130/p13013040.png ; $\zeta _ { \lambda } ^ { \prime }$ ; confidence 0.922
@@ Line 120: / Line 120: @@
 . https://www.encyclopediaofmath.org/legacyimages/s/s120/s120240/s12024050.png ; $< \varepsilon _ { i }$ ; confidence 0.922
-. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w120070103.png ; $\zeta \in C ^ { k }$ ; confidence 0.922
+. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w120070103.png ; $\zeta \in \mathbf{C} ^ { k }$ ; confidence 0.922
 . https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s12034089.png ; $S _ { H }$ ; confidence 0.922
@@ Line 128: / Line 128: @@
 . https://www.encyclopediaofmath.org/legacyimages/s/s130/s130620/s130620151.png ; $q _ { 2 } ( . ) \in L ^ { 1 } ( 0 , \infty )$ ; confidence 0.922
-. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220147.png ; $K _ { 2 } ( X ) \rightarrow H ^ { 1 } ( X ( C ) , R ( 1 ) )$ ; confidence 0.922
+. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220147.png ; $r:K _ { 2 } ( X ) \rightarrow H ^ { 1 } ( X ( \mathbf{C} ) , \mathbf{R} ( 1 ) )$ ; confidence 0.922
 . https://www.encyclopediaofmath.org/legacyimages/c/c023/c023330/c02333037.png ; $X \rightarrow Y$ ; confidence 0.922
@@ Line 134: / Line 134: @@
 . https://www.encyclopediaofmath.org/legacyimages/y/y120/y120030/y12003034.png ; $\phi \in \Gamma ( V _ { + } )$ ; confidence 0.922
-. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e1201005.png ; $E ^ { \prime }$ ; confidence 0.922
+. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e1201005.png ; $\mathbf{E} ^ { \prime }$ ; confidence 0.922
 . https://www.encyclopediaofmath.org/legacyimages/r/r130/r130100/r13010061.png ; $( \Gamma _ { A } ) _ { s }$ ; confidence 0.922
-. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120060/w12006012.png ; $T _ { A } M = \operatorname { Hom } ( C ^ { \infty } ( M , R ) , A )$ ; confidence 0.922
+. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120060/w12006012.png ; $T _ { A } M = \operatorname { Hom } ( C ^ { \infty } ( M , \mathbf{R} ) , A ),$ ; confidence 0.922
 . https://www.encyclopediaofmath.org/legacyimages/t/t130/t130210/t13021045.png ; $O ( h ^ { k } )$ ; confidence 0.922
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b120400116.png ; $\varrho : B \rightarrow C ^ { * }$ ; confidence 0.922
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b120400116.png ; $\varrho : B \rightarrow \mathbf{C} ^ { * }$ ; confidence 0.922
 . https://www.encyclopediaofmath.org/legacyimages/d/d130/d130130/d13013030.png ; $\chi = 2 g \phi$ ; confidence 0.922
@@ Line 158: / Line 158: @@
 . https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c120080114.png ; $E T _ { p q } - A _ { 0 } T _ { p - 1 , q - 1 } - A _ { 1 } T _ { p , q - 1 } - A _ { 2 } T _ { p - 1 , q } =$ ; confidence 0.921
-. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060050/l06005062.png ; $\delta = x ^ { 0 } y ^ { 0 } - \sum x ^ { t } y ^ { t }$ ; confidence 0.921
+. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060050/l06005062.png ; $\cosh \delta = x ^ { 0 } y ^ { 0 } - \sum x ^ { t } y ^ { t }.$ ; confidence 0.921
 . https://www.encyclopediaofmath.org/legacyimages/d/d120/d120120/d12012069.png ; $\phi _ { 2 } \circ \phi _ { 1 } = \phi _ { 3 } \circ \phi _ { 4 }$ ; confidence 0.921
@@ Line 164: / Line 164: @@
 . https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840208.png ; $( T _ { i j } ) _ { 1 } ^ { 2 }$ ; confidence 0.921
-. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130280/b13028021.png ; $\Sigma ^ { n } A / \{ Sq ^ { i } : 2 i > n \} A \cong G ( n )$ ; confidence 0.921
+. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130280/b13028021.png ; $\Sigma ^ { n } \mathcal{A} / \{ Sq ^ { i } : 2 i > n \} \mathcal{A} \cong G ( n ).$ ; confidence 0.921
 . https://www.encyclopediaofmath.org/legacyimages/f/f110/f110160/f110160113.png ; $( \phi _ { 1 } \vee \ldots \vee \phi _ { n } )$ ; confidence 0.921
@@ Line 174: / Line 174: @@
 . https://www.encyclopediaofmath.org/legacyimages/h/h130/h130120/h1301208.png ; $x , y \in G _ { 1 }$ ; confidence 0.921
-. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096910/v09691020.png ; $U h ( x ) = h ( T x ) \quad \text { or } \quad U _ { t } h ( x ) = h ( T _ { t } ( x ) )$ ; confidence 0.921
+. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096910/v09691020.png ; $U h ( x ) = h ( T x ) \quad \text { or } \quad U _ { t } h ( x ) = h ( T _ { t } ( x ) ).$ ; confidence 0.921
-. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120280/c12028036.png ; $[ \pi ( X * ) , C ] \cong [ X , B C ]$ ; confidence 0.921
+. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120280/c12028036.png ; $[ \pi ( X _* ) , C ] \cong [ X , B C ]$ ; confidence 0.921
-. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130080/m13008032.png ; $h _ { t } ( s ) = h ( ( s - t ) / \operatorname { log } | t | ) / \operatorname { log } | t$ ; confidence 0.921
+. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130080/m13008032.png ; $h _ { t } ( s ) = h ( ( s - t ) / \operatorname { log } | t | ) / \operatorname { log } | t | $ ; confidence 0.921
-. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120110/a12011017.png ; $A ( i , 0 ) = A ( i - 1,1 ) \text { for } i \geq 1 , A ( i , n ) = A ( i - 1 , A ( i , n - 1 ) ) \text { for } i \geq 1 , n$ ; confidence 0.921
+. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120110/a12011017.png ; $A ( i , 0 ) = A ( i - 1,1 ) \text { for } i \geq 1 , A ( i , n ) = A ( i - 1 , A ( i , n - 1 ) ) \text { for } i \geq 1 , n \geq 1.$ ; confidence 0.921
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b12022048.png ; $F _ { j } ( u ) = \int a _ { j } ( \xi ) M ( u , \xi ) d \xi$ ; confidence 0.921
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b12022048.png ; $F _ { j } ( u ) = \int a _ { j } ( \xi ) M ( u , \xi ) d \xi ,$ ; confidence 0.921
 . https://www.encyclopediaofmath.org/legacyimages/b/b120/b120370/b12037061.png ; $C _ { B _ { 2 } } ( f ) \geq 2 ^ { n } / n$ ; confidence 0.921
-. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120040/i1200405.png ; $f : P \rightarrow C$ ; confidence 0.921
+. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120040/i1200405.png ; $f : \overline{P} \rightarrow \mathbf{C}$ ; confidence 0.921
-. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120050/h12005012.png ; $u ( y ; t ) = 0 \text { for } y \in C _ { D } , t > 0$ ; confidence 0.921
+. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120050/h12005012.png ; $u ( y ; t ) = 0 \text { for } y \in C _ { D } , t > 0.$ ; confidence 0.921
 . https://www.encyclopediaofmath.org/legacyimages/d/d030/d030270/d03027022.png ; $E _ { [ \theta n ] } ( f ) = O ( E _ { n } ( f ) )$ ; confidence 0.921
@@ Line 196: / Line 196: @@
 . https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080214.png ; $L = \partial ^ { n + 1 } - q _ { 1 } \partial ^ { n - 1 } - \ldots - q _ { n }$ ; confidence 0.921
-. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120160/d12016042.png ; $C ( S ) \otimes \pi _ { k } ( T ) + \pi ( S ) \otimes C ( T )$ ; confidence 0.921
+. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120160/d12016042.png ; $C ( S ) \otimes \pi _ { k } ( T ) + \pi _{\text{l}} ( S ) \otimes C ( T )$ ; confidence 0.921
 . https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g043810138.png ; $x \notin S$ ; confidence 0.921
-. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m130260114.png ; $K ( H )$ ; confidence 0.921
+. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m130260114.png ; $K ( \mathcal{H} )$ ; confidence 0.921
 . https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005068.png ; $A u \in C ( [ 0 , T ] ; X )$ ; confidence 0.921
@@ Line 206: / Line 206: @@
 . https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s120320105.png ; $\operatorname { det } ( T )$ ; confidence 0.921
-. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120210/m12021029.png ; $E ^ { 2 }$ ; confidence 0.921
+. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120210/m12021029.png ; $\mathbf{E} ^ { 2 }$ ; confidence 0.921
 . https://www.encyclopediaofmath.org/legacyimages/k/k055/k055070/k05507023.png ; $k \eta$ ; confidence 0.921
@@ Line 218: / Line 218: @@
 . https://www.encyclopediaofmath.org/legacyimages/c/c130/c130250/c13025024.png ; $C ( \beta )$ ; confidence 0.921
-. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120250/s12025024.png ; $h ( x ) = \frac { ( 1 - x ^ { 2 } ) ^ { \pm 1 / 2 } } { \rho _ { m } ( x ) }$ ; confidence 0.921
+. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120250/s12025024.png ; $h ( x ) = \frac { ( 1 - x ^ { 2 } ) ^ { \pm 1 / 2 } } { \rho _ { m } ( x ) },$ ; confidence 0.921
-. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120300/d12030012.png ; $h : R _ { + } \times R ^ { n } \times R ^ { m } \rightarrow R ^ { m }$ ; confidence 0.921
+. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120300/d12030012.png ; $h : \mathbf{R} _ { + } \times \mathbf{R} ^ { n } \times \mathbf{R} ^ { m } \rightarrow \mathbf{R} ^ { m }$ ; confidence 0.921
-. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120050/d12005066.png ; $A C S$ ; confidence 0.921
+. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120050/d12005066.png ; $\operatorname{ACS}$ ; confidence 0.921
 . https://www.encyclopediaofmath.org/legacyimages/m/m120/m120160/m12016019.png ; $X \sim E _ { p , n } ( M , \Sigma \otimes \Phi , \psi )$ ; confidence 0.921
@@ Line 234: / Line 234: @@
 . https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020241.png ; $\overline { u } _ { 1 } \geq 0$ ; confidence 0.920
-. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120090/e1200901.png ; $\nabla \cdot E = \rho$ ; confidence 0.920
+. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120090/e1200901.png ; $\nabla . E = \rho$ ; confidence 0.920
 . https://www.encyclopediaofmath.org/legacyimages/d/d110/d110080/d11008015.png ; $L w , K v$ ; confidence 0.920
@@ Line 242: / Line 242: @@
 . https://www.encyclopediaofmath.org/legacyimages/p/p130/p130090/p13009032.png ; $G _ { \Omega } ( x , y )$ ; confidence 0.920
-. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082320/r08232051.png ; $\operatorname { lim } _ { r \rightarrow 1 } \int _ { 0 } ^ { 2 \pi } | f ( r e ^ { i \theta } ) - f ( e ^ { i \theta } ) | ^ { \delta } d \theta = 0$ ; confidence 0.920
+. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082320/r08232051.png ; $\operatorname { lim } _ { r \rightarrow 1 } \int _ { 0 } ^ { 2 \pi } | f ( r e ^ { i \theta } ) - f ( e ^ { i \theta } ) | ^ { \delta } d \theta = 0,$ ; confidence 0.920
 . https://www.encyclopediaofmath.org/legacyimages/c/c025/c025830/c02583064.png ; $A = ( I + T ) ( I - T ) ^ { - 1 } , \quad 1 \notin \sigma _ { p } ( T )$ ; confidence 0.920
@@ Line 248: / Line 248: @@
 . https://www.encyclopediaofmath.org/legacyimages/f/f040/f040520/f04052014.png ; $F : X \rightarrow X$ ; confidence 0.920
-. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031210/d03121061.png ; $i$ ; confidence 0.920
+. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031210/d03121061.png ; $\partial$ ; confidence 0.920
-. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130070/p130070101.png ; $h \in \operatorname { SPSH } ( \Omega \times \Omega ) , h < 0$ ; confidence 0.920
+. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130070/p130070101.png ; $h \in \operatorname { SPSH } ( \Omega \times \Omega ) , h < 0,$ ; confidence 0.920
 . https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032034.png ; $n _ { S } < n$ ; confidence 0.920
-. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010124.png ; $b _ { 2 } i + 1 ( S ) = 0$ ; confidence 0.920
+. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010124.png ; $b _ { 2 } i + 1 ( \mathcal{S} ) = 0$ ; confidence 0.920
-. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110150/p1101505.png ; $x \preceq y \Rightarrow z x t \preceq x y t$ ; confidence 0.920
+. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110150/p1101505.png ; $x \preceq y \Rightarrow z x t \preceq x y t.$ ; confidence 0.920
 . https://www.encyclopediaofmath.org/legacyimages/s/s087/s087670/s087670113.png ; $k = 8$ ; confidence 0.920
-. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r130070142.png ; $( h ( s , y ) , \delta _ { m } ( t - s ) ) _ { H } = h ( t , y )$ ; confidence 0.920
+. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r130070142.png ; $( h ( s , y ) , \delta _ { m } ( t - s ) ) _ { \mathcal{H} } = h ( t , y )$ ; confidence 0.920
 . https://www.encyclopediaofmath.org/legacyimages/f/f120/f120080/f120080133.png ; $\Lambda _ { G }$ ; confidence 0.920
@@ Line 266: / Line 266: @@
 . https://www.encyclopediaofmath.org/legacyimages/d/d120/d120030/d12003033.png ; $\{ x : f ( x ) > \alpha \}$ ; confidence 0.920
-. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130020/j1300203.png ; $p = \{ p _ { i } : i \in \Gamma \}$ ; confidence 0.920
+. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130020/j1300203.png ; $\mathbf{p} = \{ p _ { i } : i \in \Gamma \}$ ; confidence 0.920
-. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032037.png ; $I = \langle x \otimes y - B ( x \otimes y ) \rangle$ ; confidence 0.920
+. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032037.png ; $\mathcal{I} = \langle x \otimes y - B ( x \otimes y ) \rangle$ ; confidence 0.920
 . https://www.encyclopediaofmath.org/legacyimages/d/d120/d120300/d12030050.png ; $r ( x , t | x _ { 0 } , \sigma ( Y ( u ) , u \leq t ) ) =$ ; confidence 0.920
@@ Line 280: / Line 280: @@
 . https://www.encyclopediaofmath.org/legacyimages/m/m130/m130230/m130230102.png ; $X \rightarrow Y \leftarrow X ^ { + }$ ; confidence 0.920
-. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130030/h1300303.png ; $j = s _ { i } + j - 1$ ; confidence 0.920
+. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130030/h1300303.png ; $h_{ i , j } = s _ { i  + j - 1 }$ ; confidence 0.920
 . https://www.encyclopediaofmath.org/legacyimages/b/b110/b110850/b11085034.png ; $K G$ ; confidence 0.920
@@ Line 288: / Line 288: @@
 . https://www.encyclopediaofmath.org/legacyimages/b/b130/b130100/b13010079.png ; $T = T _ { \varphi } + C$ ; confidence 0.920
-. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130050/k13005024.png ; $Kn = \frac { \lambda } { l }$ ; confidence 0.920
+. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130050/k13005024.png ; $Kn = \frac { \lambda } { l }.$ ; confidence 0.920
-. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130070/z13007080.png ; $U \in SGL _ { n } ( \Gamma )$ ; confidence 0.919
+. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130070/z13007080.png ; $U \in \operatorname{SGL} _ { n } ( \Gamma )$ ; confidence 0.919
 . https://www.encyclopediaofmath.org/legacyimages/m/m120/m120030/m12003039.png ; $V ( T , F _ { \theta } ) = \int \operatorname { IF } ( x ; T , F _ { \theta } ) ^ { 2 } d F _ { \theta } ( x )$ ; confidence 0.919
@@ Line 296: / Line 296: @@
 . https://www.encyclopediaofmath.org/legacyimages/a/a130/a130280/a13028011.png ; $\operatorname { sn } ( u | k )$ ; confidence 0.919
-. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040575.png ; $S 5 ^ { S }$ ; confidence 0.919
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040575.png ; $\operatorname{S} 5 ^ { S }$ ; confidence 0.919
 . https://www.encyclopediaofmath.org/legacyimages/g/g130/g130040/g130040199.png ; $\operatorname { spt } ( \| \nu \| ) \cap B ( a , ( 1 - \epsilon ) R )$ ; confidence 0.919
-. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120120/d12012016.png ; $d _ { A } = d _ { 0 }$ ; confidence 0.919
+. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120120/d12012016.png ; $\operatorname{codom}_{G'} \circ d _ { A } = d _ { 0 } \circ \operatorname{codom}_{G}$ ; confidence 0.919
 . https://www.encyclopediaofmath.org/legacyimages/i/i051/i051620/i05162043.png ; $\operatorname { Re } z > 0$ ; confidence 0.919
@@ Line 308: / Line 308: @@
 . https://www.encyclopediaofmath.org/legacyimages/g/g120/g120050/g12005022.png ; $\operatorname { Re } \mu _ { 0 } ( k , R ) < 0$ ; confidence 0.919
-. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130040/c13004029.png ; $\sum _ { k = 1 } ^ { \infty } ( \frac { ( 2 k + 1 ) ! } { k ! ( k + 1 ) ! } ) ^ { 2 } \frac { 2 ^ { - 4 k } } { k } =$ ; confidence 0.919
+. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130040/c13004029.png ; $\sum _ { k = 1 } ^ { \infty } \left( \frac { ( 2 k + 1 ) ! } { k ! ( k + 1 ) ! } \right) ^ { 2 } \frac { 2 ^ { - 4 k } } { k } =$ ; confidence 0.919
-. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h12012059.png ; $d y$ ; confidence 0.919
+. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h12012059.png ; $d_Y$ ; confidence 0.919
-. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130120/z13012017.png ; $T _ { n } ( . ) = Z _ { n } ( ; 0 )$ ; confidence 0.919
+. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130120/z13012017.png ; $T _ { n } ( . ) = Z _ { n } (\, . \, ; 0 )$ ; confidence 0.919
 . https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s12023022.png ; $X \sim \operatorname { LS } _ { p , n } ( \phi )$ ; confidence 0.919
@@ Line 326: / Line 326: @@
 . https://www.encyclopediaofmath.org/legacyimages/o/o130/o130050/o1300505.png ; $\operatorname { Im } T = K J K ^ { * }$ ; confidence 0.919
-. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120010/g1200105.png ; $g _ { \alpha } ( t ) = \frac { 1 } { 2 \sqrt { \pi \alpha } } e ^ { - t ^ { 2 } / ( 4 \alpha ) } , \alpha > 0$ ; confidence 0.919
+. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120010/g1200105.png ; $g _ { \alpha } ( t ) = \frac { 1 } { 2 \sqrt { \pi \alpha } } e ^ { - t ^ { 2 } / ( 4 \alpha ) } , \alpha > 0.$ ; confidence 0.919
-. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e120120130.png ; $H \equiv - \frac { \partial ^ { 2 } } { \partial \theta . \partial \theta } \int f ( \theta , \phi ) d \phi | _ { \theta = \theta ^ { * } }$ ; confidence 0.919
+. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e120120130.png ; $H \equiv - \frac { \partial ^ { 2 } } { \partial \theta . \partial \theta } \int f ( \theta , \phi ) d \phi | _ { \theta = \theta ^ { * } },$ ; confidence 0.919
-. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120040/h12004020.png ; $U _ { \xi } \subset * U _ { \eta }$ ; confidence 0.919
+. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120040/h12004020.png ; $U _ { \xi } \subset _{*} U _ { \eta }$ ; confidence 0.919
-. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031950/d03195023.png ; $f _ { i }$ ; confidence 0.919
+. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031950/d03195023.png ; $f _ { l }$ ; confidence 0.919
-. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130020/m13002016.png ; $\phi \nmid \| \phi \|$ ; confidence 0.919
+. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130020/m13002016.png ; $\phi / \| \phi \|$ ; confidence 0.919
-. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c12021080.png ; $L [ ( \Lambda _ { n } , T _ { n } ) | P _ { n } ] \Rightarrow L$ ; confidence 0.919
+. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c12021080.png ; $\mathcal{L} [ ( \Lambda _ { n } , T _ { n } ) | P _ { n } ] \Rightarrow \tilde{\mathcal{L}}$ ; confidence 0.919
-. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005095.png ; $S A ( t ) S ^ { - 1 } = A ( t ) + B ( t ) , \quad t \in [ 0 , T ]$ ; confidence 0.919
+. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005095.png ; $S A ( t ) S ^ { - 1 } = A ( t ) + B ( t ) , \quad t \in [ 0 , T ],$ ; confidence 0.919
-. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130370/s13037015.png ; $x , y \in D$ ; confidence 0.919
+. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130370/s13037015.png ; $x , y \in \mathcal{D}$ ; confidence 0.919
 . https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b120420102.png ; $\beta : G \times G \rightarrow k ^ { * }$ ; confidence 0.919
@@ Line 354: / Line 354: @@
 . https://www.encyclopediaofmath.org/legacyimages/s/s130/s130450/s1304504.png ; $S _ { i } = \operatorname { rank } ( y _ { i } )$ ; confidence 0.919
-. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c12008095.png ; $E = I _ { y }$ ; confidence 0.918
+. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c12008095.png ; $E = I _ { n }$ ; confidence 0.918
 . https://www.encyclopediaofmath.org/legacyimages/d/d030/d030270/d0302703.png ; $S _ { k } ( f , x )$ ; confidence 0.918
@@ Line 360: / Line 360: @@
 . https://www.encyclopediaofmath.org/legacyimages/b/b120/b120040/b12004048.png ; $\lambda > 0$ ; confidence 0.918
-. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120100/f12010083.png ; $f ( ( A Z + B ) ( C Z + D ) ^ { - 1 } ) = \operatorname { det } ( C Z + D ) ^ { k } f ( Z )$ ; confidence 0.918
+. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120100/f12010083.png ; $f ( ( A Z + B ) ( C Z + D ) ^ { - 1 } ) = \operatorname { det } ( C Z + D ) ^ { k } f ( Z ),$ ; confidence 0.918
 . https://www.encyclopediaofmath.org/legacyimages/o/o130/o130050/o1300503.png ; $\operatorname { Im } T = ( T - T ^ { * } ) / 2 i$ ; confidence 0.918
@@ Line 366: / Line 366: @@
 . https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020179.png ; $r : X \times Y \supset \Gamma ( F ) \rightarrow Y$ ; confidence 0.918
-. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210115.png ; $\alpha$ ; confidence 0.918
+. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210115.png ; $\alpha_j$ ; confidence 0.918
 . https://www.encyclopediaofmath.org/legacyimages/e/e035/e035000/e035000128.png ; $\lambda _ { 1 } \geq \lambda _ { 2 } \geq \ldots \geq 0$ ; confidence 0.918
-. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120260/s1202604.png ; $S ^ { \prime } ( R )$ ; confidence 0.918
+. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120260/s1202604.png ; $\mathcal{S} ^ { \prime } ( \mathbf{R} )$ ; confidence 0.918
 . https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024089.png ; $g > 1$ ; confidence 0.918
@@ Line 376: / Line 376: @@
 . https://www.encyclopediaofmath.org/legacyimages/l/l120/l120100/l12010036.png ; $R _ { \Gamma , n } = 1$ ; confidence 0.918
-. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120240/e1202409.png ; $O _ { K }$ ; confidence 0.918
+. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120240/e1202409.png ; $\mathcal{O} _ { K }$ ; confidence 0.918
 . https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a11030029.png ; $\{ v _ { \alpha } : \alpha \in A \}$ ; confidence 0.918
@@ Line 382: / Line 382: @@
 . https://www.encyclopediaofmath.org/legacyimages/s/s120/s120040/s120040102.png ; $R = \sum _ { n > 0 } R ^ { n }$ ; confidence 0.918
-. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130010/s13001033.png ; $1.1 v$ ; confidence 0.918
+. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130010/s13001033.png ; $|.| v$ ; confidence 0.918
-. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j13004091.png ; $s ( D _ { 3 } ) = 2$ ; confidence 0.918
+. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j13004091.png ; $s ( D _ { 3_{1} } ) = 2$ ; confidence 0.918
-. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060050/l06005057.png ; $x ^ { t } = \operatorname { sinh } u ^ { t } \operatorname { cosh } u ^ { t + 1 } \ldots \operatorname { cosh } u ^ { n }$ ; confidence 0.918
+. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060050/l06005057.png ; $x ^ { t } = \operatorname { sinh } u ^ { t } \operatorname { cosh } u ^ { t + 1 } \ldots \operatorname { cosh } u ^ { n },$ ; confidence 0.918
 . https://www.encyclopediaofmath.org/legacyimages/b/b120/b120040/b12004057.png ; $D _ { S }$ ; confidence 0.918
-. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t13013042.png ; $( T , F )$ ; confidence 0.918
+. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t13013042.png ; $( \mathcal{T} , \mathcal{F} )$ ; confidence 0.918
 . https://www.encyclopediaofmath.org/legacyimages/c/c120/c120020/c12002031.png ; $c _ { \mu } f + T _ { \mu } f$ ; confidence 0.918
@@ Line 400: / Line 400: @@
 . https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a01160049.png ; $n = r _ { 1 } + 2 r _ { 2 }$ ; confidence 0.918
-. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220130.png ; $\{ s \in C : i / 2 \leq \operatorname { Re } ( s ) \leq 1 + i / 2 \}$ ; confidence 0.918
+. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220130.png ; $\{ s \in \mathbf{C} : i / 2 \leq \operatorname { Re } ( s ) \leq 1 + i / 2 \}$ ; confidence 0.918
-. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120070/m12007032.png ; $m ( 1 + x + y ) = L ^ { \prime } ( - 1 , \chi - 3 )$ ; confidence 0.918
+. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120070/m12007032.png ; $m ( 1 + x + y ) = L ^ { \prime } ( - 1 , \chi _{- 3} )$ ; confidence 0.918
 . https://www.encyclopediaofmath.org/legacyimages/e/e035/e035000/e035000102.png ; $I ( \rho ) = \frac { d \rho } { d ( \mu \times \mu ) }$ ; confidence 0.918
@@ Line 410: / Line 410: @@
 . https://www.encyclopediaofmath.org/legacyimages/m/m130/m130010/m13001041.png ; $i \in S$ ; confidence 0.918
-. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030240/d03024019.png ; $f ( 2 ) ( x _ { 0 } )$ ; confidence 0.918
+. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030240/d03024019.png ; $f _{ ( 2 ) } ( x _ { 0 } )$ ; confidence 0.918
 . https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840132.png ; $[ T x , y ] = [ x , T ^ { + } y ]$ ; confidence 0.918
@@ Line 418: / Line 418: @@
 . https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o130010154.png ; $v _ { \varepsilon } ( \alpha , \theta ) \in L ^ { 2 } ( S ^ { 2 } )$ ; confidence 0.918
-. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l12017054.png ; $K _ { 0 } ^ { n + 1 } K _ { 1 }$ ; confidence 0.917
+. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l12017054.png ; $K _ { 0 } ^ { n + 1 } \searrow  K _ { 1 }$ ; confidence 0.917
-. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130050/v13005063.png ; $x _ { 0 } ^ { - 1 } \delta ( \frac { x _ { 1 } - x _ { 2 } } { x _ { 0 } } ) Y ( u , x _ { 1 } ) Y ( v , x _ { 2 } ) +$ ; confidence 0.917
+. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130050/v13005063.png ; $x _ { 0 } ^ { - 1 } \delta \left( \frac { x _ { 1 } - x _ { 2 } } { x _ { 0 } } \right) Y ( u , x _ { 1 } ) Y ( v , x _ { 2 } ) +$ ; confidence 0.917
-. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120010/q12001083.png ; $0 \neq K _ { 0 } \subset H ( \pi )$ ; confidence 0.917
+. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120010/q12001083.png ; $0 \neq \mathcal{K} _ { 0 } \subset \mathcal{H} ( \pi )$ ; confidence 0.917
 . https://www.encyclopediaofmath.org/legacyimages/f/f130/f130210/f13021013.png ; $C ^ { * } ( G )$ ; confidence 0.917
@@ Line 430: / Line 430: @@
 . https://www.encyclopediaofmath.org/legacyimages/r/r130/r130120/r13012010.png ; $u , v \in C$ ; confidence 0.917
-. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l12003057.png ; $\pi _ { 0 } \operatorname { Map } ( B E , X ) = [ B E , X ] = \operatorname { Hom } _ { K } ( H ^ { * } X , H ^ { * } B E )$ ; confidence 0.917
+. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l12003057.png ; $\pi _ { 0 } \operatorname { Map } ( B E , X ) = [ B E , X ] = \operatorname { Hom } _ { \mathcal{K} } ( H ^ { * } X , H ^ { * } B E )$ ; confidence 0.917
 . https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e1300309.png ; $\gamma P ( X , Y ) = P ( a X + c Y , b X + d Y ) \operatorname { det } ( \gamma ) ^ { d }$ ; confidence 0.917
-. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g13006029.png ; $\sigma ( A ) \subseteq \cup _ { i = 1 } ^ { n } G _ { i } ( A )$ ; confidence 0.917
+. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g13006029.png ; $\sigma ( A ) \subseteq \cup _ { i = 1 } ^ { n } G _ { i } ( A ).$ ; confidence 0.917
 . https://www.encyclopediaofmath.org/legacyimages/e/e120/e120020/e120020106.png ; $Y \times K \simeq Z \times K$ ; confidence 0.917