Difference between revisions of "User:Maximilian Janisch/latexlist/latex/NoNroff/33"

Latest revision as of 13:20, 10 May 2020

List

1. ; $D _ { z _ { 0 } , r } : = \{ z : | z - z _ { 0 } | \leq r \} \in D$ ; confidence 0.905

2. ; $f _ { S } = 1 - \frac { 3 \sum _ { i = 1 } ^ { n } | R _ { i } - S _ { i } | } { n ^ { 2 } - 1 }.$ ; confidence 0.905

3. ; $\nu = \xi / h$ ; confidence 0.905

4. ; $( \psi [ 1 ] \varphi ) _ { x } = - \varphi ^ { 2 } ( \psi \varphi ^ { - 1 } ) _ { x },$ ; confidence 0.905

5. ; $[ a , c ]$ ; confidence 0.905

6. ; $\operatorname { limsup } _ { j \rightarrow \infty } \frac { 1 } { j } \operatorname { log } | f _ { j } |,$ ; confidence 0.905

7. ; $\mathcal{T} ( S )$ ; confidence 0.905

8. ; $L \Delta$ ; confidence 0.905

9. ; $A _ { \epsilon }$ ; confidence 0.905

10. ; $Y ( \omega , x ) = \sum _ { n \in \mathbf{Z} } L ( n ) x ^ { - n - 2 }$ ; confidence 0.905

11. ; $\gamma ( s )$ ; confidence 0.905

12. ; $G _ { q } ^ { \# } ( n ) = q ^ { n }$ ; confidence 0.905

13. ; $\int _ { 0 } ^ { \infty } \psi ( f ^ { * } ( s ) / w ( s ) ) w ( s ) d s < \infty,$ ; confidence 0.905

14. ; $e$ ; confidence 0.905

15. ; $( N \times N )$ ; confidence 0.905

16. ; $c ( y ) = \| K ( . , y ) \|$ ; confidence 0.905

17. ; $\alpha_i$ ; confidence 0.905

18. ; $\{ ( x _ { i } , y _ { i } ) \} _ { i = 1 } ^ { n }$ ; confidence 0.905

19. ; $C _ { 1 } > 0$ ; confidence 0.905

20. ; $\mathbf{C} [ F ]$ ; confidence 0.905

21. ; $\tau _ { U , V } : U \otimes _ { k } V \rightarrow V \otimes _ { k } U$ ; confidence 0.905

22. ; $\hat { \mu } ( X _ { i } ) = \sum _ { X _ { j } \leq X _ { i } } \mu ( X _ { j } )$ ; confidence 0.905

23. ; $[ f , g ] = \int _ { a } ^ { b } f \bar{g} r d x$ ; confidence 0.905

24. ; $\varphi _ { 1 }$ ; confidence 0.905

25. ; $\operatorname{mod} p$ ; confidence 0.905

26. ; $\nabla \times \mathbf{E} + \frac { 1 } { c } \frac { \partial \mathbf{B} } { \partial t } = 0;$ ; confidence 0.905

27. ; $\square ^ { \prime } \Gamma _ { j k } ^ { i } ( x )$ ; confidence 0.905

28. ; $\Lambda ^ { 2 } : = \sum _ { j = 1 } ^ { \infty } \lambda _ { j } < \infty , | \varphi _ { j } ( x ) | < c , \forall j , x.$ ; confidence 0.905

29. ; $S = \mathbf{T} ^ { 2 }$ ; confidence 0.905

30. ; $D \in \operatorname { Der } _ { k } \Omega ( M )$ ; confidence 0.905

31. ; $\hat { f } \in L ^ { 1 } ( \mathbf{R} )$ ; confidence 0.905

32. ; $p \neq q$ ; confidence 0.905

33. ; $x , y , z \in G$ ; confidence 0.905

34. ; $L _ { 1 } \geq L _ { 2 }$ ; confidence 0.905

35. ; $\operatorname { PrSu } ( P )$ ; confidence 0.905

36. ; $S ( x , r )$ ; confidence 0.905

37. ; $M _ { 0 } \approx M _ { 1 }$ ; confidence 0.905

38. ; $A ^ { - 1 } K = I$ ; confidence 0.905

39. ; $z \mapsto z + k$ ; confidence 0.905

40. ; $= \frac { 1 } { 2 } \left( \frac { \Theta _ { \Delta } ( q ) } { \eta ( q ) ^ { 24 } } + \frac { \eta ( q ) ^ { 24 } } { \eta ( q ^ { 2 } ) ^ { 24 } } \right) +$ ; confidence 0.904

41. ; $x \rightarrow - \infty$ ; confidence 0.904

42. ; $4.2$ ; confidence 0.904

43. ; $\| 0 \| = 0,$ ; confidence 0.904

44. ; $R = \mathbf{Z} _ { p } [ [ \Gamma ] ]$ ; confidence 0.904

45. ; $\Pi _ { 2 }$ ; confidence 0.904

46. ; $F \mathbf{c} _ { k }$ ; confidence 0.904

47. ; $Q _ { r } ( R )$ ; confidence 0.904

48. ; $\operatorname { lim } _ { n \rightarrow \infty } \frac { n } { 2 } r ( n x ) = \delta ( x ).$ ; confidence 0.904

49. ; $= x _ { 2 } ^ { - 1 } \delta \left( \frac { x _ { 1 } - x _ { 0 } } { x _ { 2 } } \right) Y ( Y ( u , x _ { 0 } ) v , x _ { 2 } ),$ ; confidence 0.904

50. ; $g ( F ( u ) ) = \{ g ( v ) : v \in F ( u ) \}$ ; confidence 0.904

51. ; $\mathbf{F}$ ; confidence 0.904

52. ; $\langle [ A ] , \phi \rangle$ ; confidence 0.904

53. ; $K ( G )$ ; confidence 0.904

54. ; $\mathcal{B}$ ; confidence 0.904

55. ; $C > 0$ ; confidence 0.904

56. ; $A _ { 0 }$ ; confidence 0.904

57. ; $\theta _ { 3 }$ ; confidence 0.904

58. ; $\omega _ { 0 } ( G ) = 1$ ; confidence 0.904

59. ; $[ x , x ] > 0$ ; confidence 0.904

60. ; $\propto \| \Sigma \| ^ { - 1 / 2 } [ \nu + ( y - \mu ) ^ { T } \Sigma ^ { - 1 } ( y - \mu ) ] ^ { - ( \nu + p ) / 2 },$ ; confidence 0.904

61. ; $b \mathcal{A} _ { p }$ ; confidence 0.904

62. ; $W _ { 1 + \infty}$ ; confidence 0.904

63. ; $g \circ h = g ^ { \prime } \circ h$ ; confidence 0.904

64. ; $L ( \lambda ) = \lambda ^ { n } I + \lambda ^ { n - 1 } B _ { n - 1 } + \ldots + \lambda B _ { 1 } + B _ { 0 }$ ; confidence 0.904

65. ; $P ( x , D ) = \sum _ { j = 1 } ^ { n } X _ { j } ^ { 2 }$ ; confidence 0.904

66. ; $M = [ a , b ]$ ; confidence 0.904

67. ; $\mathbf{F} = \mathbf{EX}_4$ ; confidence 0.904

68. ; $| \partial ^ { \alpha } u _ { \varepsilon } ( x ) |$ ; confidence 0.904

69. ; $\operatorname{cocat}( X )$ ; confidence 0.904

70. ; $c _ { m , n } = \sqrt { n } ( n / ( 4 e ( m + n ) ) ) ^ { n }$ ; confidence 0.903

71. ; $S _ { i } = \pm 1$ ; confidence 0.903

72. ; $\mathfrak { D } ( P , x ) T = M ( T ) ^ { \epsilon }$ ; confidence 0.903

73. ; $2 r > 2$ ; confidence 0.903

74. ; $j _ { n } ( \zeta ) = \Gamma \left( \frac { n } { 2 } \right) \left( \frac { 2 } { \zeta } \right) ^ { ( n - 2 ) / 2 } J _ { ( n - 2 ) / 2 } ( \zeta ),$ ; confidence 0.903

75. ; $x _ { i j^{\prime} }$ ; confidence 0.903

76. ; $\nu = n$ ; confidence 0.903

77. ; $t , g _ { i } , t ^ { - 1 }$ ; confidence 0.903

78. ; $w : \mathbf{R} \times S ^ { 1 } \rightarrow M$ ; confidence 0.903

79. ; $\varphi_{+} ( k ) = S ( - k ) \varphi _ { - } ( k ),$ ; confidence 0.903

80. ; $\langle p , y \rangle = 0$ ; confidence 0.903

81. ; $\Phi ^ { m } \in C ^ { 2 } ( \overline { D } _ { m } )$ ; confidence 0.903

82. ; $\operatorname{coev}_V : \underline { 1 } \rightarrow V \otimes V ^ { * }$ ; confidence 0.903

83. ; $q e ^ { ( - i \theta ) }$ ; confidence 0.903

84. ; $H _ { \mathcal{H} }$ ; confidence 0.903

85. ; $G / B$ ; confidence 0.903

86. ; $\sum Y$ ; confidence 0.903

87. ; $i _ { 1 } : H ^ { 1 } ( D ^ { \prime R} ) \rightarrow L ^ { 2 } ( D _ { R } ^ { \prime } )$ ; confidence 0.903

88. ; $L _ { p }$ ; confidence 0.903

89. ; $M _ { i } > 0$ ; confidence 0.903

90. ; $L _ { p } ( 1 - s , \chi ) = G _ { \chi } ( u ^ { s } - 1 ) / ( u ^ { s } - 1 )$ ; confidence 0.903

91. ; $X ^ { \perp }$ ; confidence 0.903

92. ; $[ a _ { i } ^ { - } , a _ { i } ^ { + } ]$ ; confidence 0.903

93. ; $X = M \oplus L$ ; confidence 0.903

94. ; $z \in \{ | z | \geq \rho \} \cup \{ | \operatorname { arc } z | < \kappa \}$ ; confidence 0.903

95. ; $\{ 0,1 \} ^ { n }$ ; confidence 0.903

96. ; $| \alpha | = \alpha _ { 1 } + \ldots + \alpha _ { n }$ ; confidence 0.903

97. ; $\zeta _ { i } = \mathsf{E} ( z _ { i } )$ ; confidence 0.903

98. ; $M / \Gamma$ ; confidence 0.903

99. ; $A = S ^ { \prime \prime } ( 0 )$ ; confidence 0.903

100. ; $L ^ { 2 } = \operatorname {pt}$ ; confidence 0.902

101. ; $x = x ^ { + } x ^ { - } , \quad x ^ { + } \bigwedge ( x ^ { - } ) ^ { - 1 } = e,$ ; confidence 0.902

102. ; $\operatorname { lim } ( V _ { \overline{1} } ) \neq 0$ ; confidence 0.902

103. ; $H _ { n } = \operatorname { rist } _ { G } ( n )$ ; confidence 0.902

104. ; $p _ { \alpha } \in G ^ { s } ( \Omega )$ ; confidence 0.902

105. ; $\mathbf{R} _ { + }$ ; confidence 0.902

106. ; $\operatorname { Idim } ( P ) \leq \operatorname { dim } ( Q )$ ; confidence 0.902

107. ; $\{ \phi _ { k } \}$ ; confidence 0.902

108. ; $M _ { 0 } = M _ { 0 } ^ { \prime }$ ; confidence 0.902

109. ; $| W |$ ; confidence 0.902

110. ; $Z = \{ x \in \mathbf{R} : f ( x ) = 0 \}$ ; confidence 0.902

111. ; $D _ { t } ^ { * } : ( L ^ { 2 } ) \rightarrow \Gamma ^ { - }$ ; confidence 0.902

112. ; $\hat { \eta } \Omega$ ; confidence 0.902

113. ; $x \neq 0 ( \operatorname { mod } 2 \pi )$ ; confidence 0.902

114. ; $\left[ \underline { f } \square _ { \alpha } ( x ) , \overline { f } _ { \alpha } ( x ) \right]$ ; confidence 0.902

115. ; $P _ { K }$ ; confidence 0.902

116. ; $U _ { \tau } ^ { * } = \operatorname { sup } _ { 0 \leq t < \tau} | U _ { t } |$ ; confidence 0.902

117. ; $10 / 11$ ; confidence 0.902

118. ; $\otimes$ ; confidence 0.902

119. ; $\Sigma ^ { 1 _ { 1 }}$ ; confidence 0.902

120. ; $\mathbf{false} \equiv \lambda x y . y$ ; confidence 0.902

121. ; $\int _ { S ( x , r ) } f ( y ) d \sigma _ { r } ( y ) = f ( x ) , x \in \mathbf{R} ^ { n } , r \in \mathbf{R} ^ { + },$ ; confidence 0.902

122. ; $v _{- 1}1 = v$ ; confidence 0.902

123. ; $g = \psi h$ ; confidence 0.902

124. ; $F R - R A ^ { * }$ ; confidence 0.902

125. ; $a > 1$ ; confidence 0.902

126. ; $\emptyset \neq E \subset X$ ; confidence 0.902

127. ; $\| f \| _ { * } = \operatorname { sup } _ { Q } \frac { 1 } { | Q | } \int _ { Q } | f ( t ) - f _ { Q } | d t < \infty,$ ; confidence 0.901

128. ; $n = 1$ ; confidence 0.901

129. ; $\mathcal{V} ^ { \Lambda }$ ; confidence 0.901

130. ; $\Lambda _ { D } ( a , x )$ ; confidence 0.901

131. ; $A _ { g }$ ; confidence 0.901

132. ; $T _ { m } ( a , b ) = ( a + b - 1 ) \vee 0$ ; confidence 0.901

133. ; $\operatorname { Sp } ( n + 1 ) / \operatorname { Sp } ( n ) , \quad \operatorname { Sp } ( n + 1 ) / \operatorname { Sp } ( n ) \times \mathbf{Z} _ { 2 },$ ; confidence 0.901

134. ; $f ( \phi | \theta ^ { ( t ) } )$ ; confidence 0.901

135. ; $\beta : i \rightarrow j$ ; confidence 0.901

136. ; $\mu ^ { * } ( K _ { X } + B ) = K _ { Y } + \sum _ { j = 1 } ^ { t } b _ { j } \mu _ { * } ^ { - 1 } B _ { j } + \sum _ { k = 1 } ^ { s } d _ { k } D _ { k }$ ; confidence 0.901

137. ; $\mathcal{L} ( T _ { n } | P _ { n } ) \Rightarrow N ( 0 , \Gamma )$ ; confidence 0.901

138. ; $k _ { t } ( x , x )$ ; confidence 0.901

139. ; $\| u \| _ { p , T } = ( \int _ { T } | u ( x ) | ^ { p } d x ) ^ { 1 / p }$ ; confidence 0.901

140. ; $\{ f , g \} = \sum \left( \frac { \partial f } { \partial p _ { j } } \frac { \partial g } { \partial q _ { j } } - \frac { \partial f } { \partial q _ { j } } \frac { \partial g } { \partial p _ { j } } \right).$ ; confidence 0.901

141. ; $S \neq 0$ ; confidence 0.901

142. ; $\varphi \in T$ ; confidence 0.901

143. ; $\mathcal{P} = \left( \begin{array} { c c } { \lambda _ { + } } & { 0 } \\ { 0 } & { \lambda _ { - } } \end{array} \right) , \quad \mathcal{P} ^ { N } = \left( \begin{array} { c c } { \lambda _ { + } ^ { N } } & { 0 } \\ { 0 } & { \lambda ^ { N } } \end{array} \right),$ ; confidence 0.901

144. ; $f \circ g ( \mathbf{P} ^ { 1 } )$ ; confidence 0.901

145. ; $\nabla _ { \Gamma } s : T M \rightarrow V Y$ ; confidence 0.901

146. ; $P \tilde { U }$ ; confidence 0.901

147. ; $| \operatorname { Im } z | < \delta$ ; confidence 0.901

148. ; $L ^ { 2 } ( [ 0,1 ] ^ { n } )$ ; confidence 0.901

149. ; $G ( A ) = \cap _ { \epsilon > 0} H ( A _ { \epsilon } )$ ; confidence 0.901

150. ; $\alpha ^ { \prime } , \alpha \in S ^ { 2 } , k _ { 0 } > 0$ ; confidence 0.901

151. ; $S ( f ; M _ { 1 } , M _ { 2 } )$ ; confidence 0.901

152. ; $\operatorname { det } k ( z ) \neq 0$ ; confidence 0.901

153. ; $( U _ { 1 } \supset V _ { 1 } \supset \ldots \supset U _ { n } )$ ; confidence 0.900

154. ; $\sum _ { x \in C } v _ { x } ( f ) = 0$ ; confidence 0.900

155. ; $X \subset S ^ { N }$ ; confidence 0.900

156. ; $c _ { i } ^ { U }$ ; confidence 0.900

157. ; $p ( x . y ) = p ( x ) + p ( y )$ ; confidence 0.900

158. ; $\{ ( \tau _ { j } , \text{l} _ { j } ) \}$ ; confidence 0.900

159. ; $\pi _ { n } ( X , Y ) = [ \Sigma ^ { n } X , Y ] \cong [ X , \Omega ^ { n } Y ],$ ; confidence 0.900

160. ; $G : \mathfrak { A } \rightarrow \mathfrak { X }$ ; confidence 0.900

161. ; $l + n > 2$ ; confidence 0.900

162. ; $\text{IPC}$ ; confidence 0.900

163. ; $\text{S} 5 ^ { \text{W} }$ ; confidence 0.900

164. ; $h _ { 1 } \cup h _ { 2 }$ ; confidence 0.900

165. ; $\{ \emptyset \}$ ; confidence 0.900

166. ; $\gamma , \delta \in F ^ { * }$ ; confidence 0.900

167. ; $T p ( A _ { y } ) = A$ ; confidence 0.900

168. ; $t \wedge s = \operatorname { min } ( t , s )$ ; confidence 0.900

169. ; $\operatorname{ dim} \mathfrak { g } ^ { \alpha } < \infty$ ; confidence 0.900

170. ; $0 \leq b _ { j } \leq 1$ ; confidence 0.900

171. ; $t \in \mathbf{I}$ ; confidence 0.900

172. ; $K _ { i } ( X )$ ; confidence 0.900

173. ; $\tilde { \nabla }$ ; confidence 0.900

174. ; $Q _ { n } ( t ) = Q ( t ) + \frac { t - F _ { n } ( Q ( t ) ) } { f ( Q ( t ) ) } +$ ; confidence 0.900

175. ; $( f \times g ) ( q , p ) : = W ^ { - 1 } ( W ( f ) .W ( g ) ).$ ; confidence 0.900

176. ; $Q = ( Q _ { 0 } , Q _ { 1 } )$ ; confidence 0.900

177. ; $\delta \nu ( X ) = \int \langle X ( x ) , V \rangle d \nu ( x , V ).$ ; confidence 0.900

178. ; $\operatorname { deg } _ { B } [ f , \Omega , C _ { i } ]$ ; confidence 0.900

179. ; $L _ { p } ( 0,1 )$ ; confidence 0.899

180. ; $P _ { j } ( x )$ ; confidence 0.899

181. ; $\{ \mathcal{L} _ { m } \}$ ; confidence 0.899

182. ; $\lambda _ { i } - \lambda _ { j }$ ; confidence 0.899

183. ; $[ x , x ] \geq 0$ ; confidence 0.899

184. ; $u _ { f } \in U$ ; confidence 0.899

185. ; $D _ { t _ { 0 } }$ ; confidence 0.899

186. ; $|$ ; confidence 0.899

187. ; $w \in \mathcal{E} ^ { \prime } ( \Omega )$ ; confidence 0.899

188. ; $d _ { 0 } : O G \rightarrow O G ^ { \prime } , \quad d _ { A } : A G \rightarrow A G ^ { \prime }$ ; confidence 0.899

189. ; $\{ f_{m} \}$ ; confidence 0.899

190. ; $s = 2$ ; confidence 0.899

191. ; $[ x y z ] = - [ y x z ],$ ; confidence 0.899

192. ; $W ( \overline { \rho } ) = \overline { W ( \rho ) }$ ; confidence 0.899

193. ; $\mathcal{R} _ { j k } ^ { i }$ ; confidence 0.899

194. ; $\angle \operatorname { lim } _ { z \rightarrow \omega } F ^ { \prime } ( z ) = \angle F ^ { \prime } ( \omega ) = \omega \overline { \eta } d ( \omega )$ ; confidence 0.899

195. ; $g \circ \alpha = \beta \circ f$ ; confidence 0.899

196. ; $\mathbf{q}_j$ ; confidence 0.899

197. ; $\mathfrak{D}$ ; confidence 0.899

198. ; $\frac { 1 } { n } \sum _ { k = 1 } ^ { n } f ( \lambda _ { k } ^ { ( n ) } ) = \frac { 1 } { 2 \pi } \int _ { 0 } ^ { 2 \pi } f ( a ( e ^ { i \theta } ) ) d \theta + o ( 1 ),$ ; confidence 0.899

199. ; $| f|$ ; confidence 0.899

200. ; $A _ { p } ( G )$ ; confidence 0.899

201. ; $\nabla _ { A } * F _ { A } = 0,$ ; confidence 0.899

202. ; $\times \int _ { 0 } ^ { \infty } \tau \operatorname { sinh } ( \pi \tau ) S _ { \mu , i \tau } ( x ) \left| \Gamma \left( \frac { 1 - \mu + i \tau } { 2 } \right) \right| ^ { 2 } g ( \tau ) d \tau.$ ; confidence 0.899

203. ; $\left\{ z = x + i y : x _ { 1 } > \frac { | x ^ { \prime } | + 1 } { \varepsilon } , | y | < \varepsilon \right\},$ ; confidence 0.899

204. ; $\text{time}_\mathcal{A}( X )$ ; confidence 0.899

205. ; $\lambda ( L ) = \operatorname { sup } \{ E ( f ) : f \in L , \| f \| _ { L _ { 2 } ( \Omega ) } = 1 \}$ ; confidence 0.899

206. ; $k = \mathbf{Q}$ ; confidence 0.899

207. ; $h < n$ ; confidence 0.899

208. ; $\overline { P ( - \xi ) }$ ; confidence 0.899

209. ; $T _ { \lambda } ^ { + }$ ; confidence 0.898

210. ; $\hat { \tau } : C \rightarrow Y$ ; confidence 0.898

211. ; $B = ( b _ { i , j} )$ ; confidence 0.898

212. ; $T ( . )$ ; confidence 0.898

213. ; $\top \otimes \top = \top $ ; confidence 0.898

214. ; $L _ { 2 } = L _ { 2 } [ 0 , \infty )$ ; confidence 0.898

215. ; $x _ { 0 } \in \overline { D ( A ) }$ ; confidence 0.898

216. ; $g ^ { n } = 1 , E ^ { n } = F ^ { n } = 0,$ ; confidence 0.898

217. ; $A = \left( \begin{array} { c c } { B } & { C } \\ { C ^ { * } } & { D } \end{array} \right)$ ; confidence 0.898

218. ; $Y = \operatorname { Gal } ( M ( k ^ { \prime } ) / k _ { \infty } ^ { \prime } ) \otimes \mathbf{Z} _ { p } [ \chi ]$ ; confidence 0.898

219. ; $f \in H _ { c } ( D )$ ; confidence 0.898

220. ; $S \boxplus T$ ; confidence 0.898

221. ; $\overline { B } ( A )$ ; confidence 0.898

222. ; $\phi / | \phi |$ ; confidence 0.898

223. ; $z _ { 1 } = \ldots = z _ { k } = 0$ ; confidence 0.898

224. ; $H _ { 1 } : \theta = q = 1 - p$ ; confidence 0.898

225. ; $\lambda_ f ( x )$ ; confidence 0.898

226. ; $\operatorname { grad } S _ { H }$ ; confidence 0.898

227. ; $K ( s , t ) = \overline { K ( t , s ) }$ ; confidence 0.898

228. ; $G _ { X } \leq G _ { X } ^ { g };$ ; confidence 0.898

229. ; $d s _ { M } ^ { 2 } = d t ^ { 2 } + f ( t ) d s _ { N } ^ { 2 },$ ; confidence 0.898

230. ; $\mathcal{S} \Rightarrow \rho \Rightarrow q$ ; confidence 0.898

231. ; $\operatorname {GF} ( q )$ ; confidence 0.897

232. ; $r ^ { \prime } ( A ) = \operatorname { lim } _ { n \rightarrow \infty } \beta ( A ^ { n } ).$ ; confidence 0.897

233. ; $\Omega ^ { k } ( M ; T M ) = \Gamma ( \wedge ^ { k } T ^ { * } M \otimes T M )$ ; confidence 0.897

234. ; $P \tilde{T}$ ; I'm not sure.

235. ; $C ^ { 2 } ( - \infty , + \infty )$ ; confidence 0.897

236. ; $x , y , z , u , v , w \in U$ ; confidence 0.897

237. ; $\Gamma \cup \{ \varphi \} \subseteq \text{Fm}$ ; confidence 0.897

238. ; $L u = f$ ; confidence 0.897

239. ; $0 \leq s \leq l$ ; confidence 0.897

240. ; $k \times k$ ; confidence 0.897

241. ; $\alpha > 0$ ; confidence 0.897

242. ; $H _ { n } \cong L _ { n } \times \ldots \times L _ { n }$ ; confidence 0.897

243. ; $u ( t ) = e ^ { i h t }$ ; confidence 0.897

244. ; $[ x , x ] = 0$ ; confidence 0.897

245. ; $( \phi , e ^ { - i H t } \phi ) = \frac { 1 } { 2 \pi i } \int _ { C } e ^ { - i z t } ( \phi , G ( z ) \phi ) d z,$ ; confidence 0.897

246. ; $9_{42}$ ; confidence 0.897

247. ; $\phi = id$ ; confidence 0.897

248. ; $( 1 + a ^ { 2 } ) \frac { d \tau } { d \xi } =$ ; confidence 0.897

249. ; $\sum _ { k = 1 } ^ { n } | d z _ { k } | ^ { 2 }$ ; confidence 0.897

250. ; $\beta ^ { n } \neq 0$ ; confidence 0.897

251. ; $\Lambda _ { G } = 1$ ; confidence 0.897

252. ; $\frac { 1 } { i } ( A _ { k } - A _ { k } ^ { * } ) = \Phi ^ { * } \sigma _ { k } \Phi ,$ ; confidence 0.897

253. ; $G \in \mathcal{R}$ ; confidence 0.897

254. ; $\gamma _ { k }$ ; confidence 0.897

255. ; $\nabla . \mathbf{D} = q_ f;$ ; confidence 0.897

256. ; $L _ { p } ( s , \chi ) = G _ { \chi } ^ { * } ( u ^ { s } - 1 ) / ( u ^ { s } - u )$ ; confidence 0.897

257. ; $\chi ( x )$ ; confidence 0.897

258. ; $Q _ { n } ( z , \tau ) = \phi _ { n } ( z ) + \tau \phi _ { n } ^ { * } ( z )$ ; confidence 0.897

259. ; $H ^ { 1 } = H ^ { 1 } ( \Gamma , k , \mathbf{v} ; P ( k ) )$ ; confidence 0.897

260. ; $f = \sum f _ { n } \varphi _ { n }$ ; confidence 0.897

261. ; $C _ { N }$ ; confidence 0.897

262. ; $f \in H _ { 0 } ^ { 1 }$ ; confidence 0.897

263. ; $A G ( 2 , q )$ ; confidence 0.896

264. ; $F ( \tau ) = \int _ { 0 } ^ { \infty } \operatorname { Im } K _ { 1 / 2 + i \tau} ( x ) f ( x ) d x,$ ; confidence 0.896

265. ; $\partial S$ ; confidence 0.896

266. ; $t \mapsto \sqrt { - 1 }t$ ; confidence 0.896

267. ; $g \neq 1$ ; confidence 0.896

268. ; $L ( \varepsilon ) = \operatorname { Inn } \operatorname { Der } T ( \varepsilon ) \oplus T ( \varepsilon )$ ; confidence 0.896

269. ; $\square _ { 2 } F _ { 1 } ( a , b ; c ; z )$ ; confidence 0.896

270. ; $s ( \zeta ) \in E ^ { * }$ ; confidence 0.896

271. ; $s = m$ ; confidence 0.896

272. ; $z _ { t } ^ { ( i ) }$ ; confidence 0.896

273. ; $k \in \mathbf{Z} ^ { 0 }$ ; confidence 0.896

274. ; $c _ { i } = c _ { - i } ^ { * }$ ; confidence 0.896

275. ; $Q _ { 0 } = P _ { 0 }$ ; confidence 0.896

276. ; $k \in \mathbf{Z}$ ; confidence 0.896

277. ; $p _ { i } : X \rightarrow X_i$ ; confidence 0.896

278. ; $A _ { k } ^ { ( 2 ) } = U A _ { k } ^ { ( 1 ) } U ^ { - 1 } ( k = 1,2 ),$ ; confidence 0.896

279. ; $\mathcal{F} = \{ C : \operatorname { Hom } _ { \Lambda } ( \mathcal{T} , C ) = 0 \}$ ; confidence 0.896

280. ; $m ^ { \uparrow X } ( A ) = m ( B )$ ; confidence 0.896

281. ; $K ( G , 1 )$ ; confidence 0.896

282. ; $\mathcal{T} ( T _ { A } ) = \{ M _ { A } : \operatorname { Ext } _ { A } ^ { 1 } ( T , M ) = 0 \}$ ; confidence 0.896

283. ; $N _ { f } < 2 N _ { c }$ ; confidence 0.896

284. ; $\alpha \in \mathbf{Z} _ { + } ^ { n } , | \alpha | = \alpha _ { 1 } + \ldots + \alpha _ { n }.$ ; confidence 0.896

285. ; $| x _ { j } | \leq | x _ { i }|$ ; confidence 0.896

286. ; $( D \alpha D ) ( D \beta D ) = D \alpha D \beta D = D \alpha ( \bigcup _ { \beta ^ { \prime } } D \beta ^ { \prime } ) =$ ; confidence 0.896

287. ; $x ^ { T } = x _ { 1 } ^ { \gamma _ { 1 } } x _ { 2 } ^ { \gamma _ { 2 } } \dots$ ; confidence 0.896

288. ; $Y ( N )$ ; confidence 0.896

289. ; $\epsilon ( p , m )$ ; confidence 0.896

290. ; $\theta ^ { ( t ) }$ ; confidence 0.896

291. ; $x _ { 3 }$ ; confidence 0.895

292. ; $( \mathcal{H} ^ { \otimes r } , \mathcal{H} ^ { \otimes r + k } )$ ; confidence 0.895

293. ; $29,899$ ; confidence 0.895

294. ; $\int \rho _ { \varepsilon } ( x ) d x = 1$ ; confidence 0.895

295. ; $F ( f ) = F _ { \phi } ( f ) = \operatorname { lim } _ { \epsilon \rightarrow 0 } \int _ { \partial D _ { \epsilon } } f ( z ) \overline { \phi ( z ) } d \sigma,$ ; confidence 0.895

296. ; $\text{SS} _ { \mathcal{H} }$ ; confidence 0.895

297. ; $n = k + l$ ; confidence 0.895

298. ; $( a + i b ) x = x ( c + i d ) \Leftrightarrow ( a - i b ) x = x ( c - i d ),$ ; confidence 0.895

299. ; $e = e ( w | v ) = ( w L : v K )$ ; confidence 0.895

300. ; $V \subseteq \square ^ { \alpha } U$ ; confidence 0.895

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/NoNroff/33. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/NoNroff/33&oldid=44521

Navigation

Tools

Namespaces

Variants

Views

Actions

Difference between revisions of "User:Maximilian Janisch/latexlist/latex/NoNroff/33"

Latest revision as of 13:20, 10 May 2020

List

@@ Line 2: / Line 2: @@
 . https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r13008044.png ; $D _ { z _ { 0 } , r } : = \{ z : | z - z _ { 0 } | \leq r \} \in D$ ; confidence 0.905
-. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130450/s13045075.png ; $f _ { S } = 1 - \frac { 3 \sum _ { i = 1 } ^ { n } | R _ { i } - S _ { i } | } { n ^ { 2 } - 1 }$ ; confidence 0.905
+. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130450/s13045075.png ; $f _ { S } = 1 - \frac { 3 \sum _ { i = 1 } ^ { n } | R _ { i } - S _ { i } | } { n ^ { 2 } - 1 }.$ ; confidence 0.905
 . https://www.encyclopediaofmath.org/legacyimages/n/n120/n120100/n12010038.png ; $\nu = \xi / h$ ; confidence 0.905
-. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120240/m1202406.png ; $( \psi [ 1 ] \varphi ) _ { x } = - \varphi ^ { 2 } ( \psi \varphi ^ { - 1 } ) _ { x }$ ; confidence 0.905
+. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120240/m1202406.png ; $( \psi [ 1 ] \varphi ) _ { x } = - \varphi ^ { 2 } ( \psi \varphi ^ { - 1 } ) _ { x },$ ; confidence 0.905
 . https://www.encyclopediaofmath.org/legacyimages/d/d110/d110220/d11022011.png ; $[ a , c ]$ ; confidence 0.905
-. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130070/p13007021.png ; $\operatorname { imsup } _ { j \rightarrow \infty } \frac { 1 } { j } \operatorname { log } | f _ { j } |$ ; confidence 0.905
+. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130070/p13007021.png ; $\operatorname { limsup } _ { j \rightarrow \infty } \frac { 1 } { j } \operatorname { log } | f _ { j } |,$ ; confidence 0.905
-. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130150/t13015069.png ; $T ( S )$ ; confidence 0.905
+. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130150/t13015069.png ; $\mathcal{T} ( S )$ ; confidence 0.905
 . https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230158.png ; $L \Delta$ ; confidence 0.905
-. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120180/w12018058.png ; $A _ { f }$ ; confidence 0.905
+. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120180/w12018058.png ; $A _ { \epsilon }$ ; confidence 0.905
-. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130050/v13005088.png ; $Y ( \omega , x ) = \sum _ { n \in Z } L ( n ) x ^ { - n - 2 }$ ; confidence 0.905
+. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130050/v13005088.png ; $Y ( \omega , x ) = \sum _ { n \in \mathbf{Z} } L ( n ) x ^ { - n - 2 }$ ; confidence 0.905
 . https://www.encyclopediaofmath.org/legacyimages/c/c120/c120270/c12027010.png ; $\gamma ( s )$ ; confidence 0.905
@@ Line 24: / Line 24: @@
 . https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006043.png ; $G _ { q } ^ { \# } ( n ) = q ^ { n }$ ; confidence 0.905
-. https://www.encyclopediaofmath.org/legacyimages/o/o120/o120050/o12005067.png ; $\int _ { 0 } ^ { \infty } \psi ( f ^ { * } ( s ) / w ( s ) ) w ( s ) d s < \infty$ ; confidence 0.905
+. https://www.encyclopediaofmath.org/legacyimages/o/o120/o120050/o12005067.png ; $\int _ { 0 } ^ { \infty } \psi ( f ^ { * } ( s ) / w ( s ) ) w ( s ) d s < \infty,$ ; confidence 0.905
-. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150016.png ; $E$ ; confidence 0.905
+. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150016.png ; $e$ ; confidence 0.905
 . https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050134.png ; $( N \times N )$ ; confidence 0.905
@@ Line 32: / Line 32: @@
 . https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r13008020.png ; $c ( y ) = \| K ( . , y ) \|$ ; confidence 0.905
-. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240177.png ; $\alpha$ ; confidence 0.905
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240177.png ; $\alpha_i$ ; confidence 0.905
 . https://www.encyclopediaofmath.org/legacyimages/s/s130/s130450/s1304502.png ; $\{ ( x _ { i } , y _ { i } ) \} _ { i = 1 } ^ { n }$ ; confidence 0.905
@@ Line 38: / Line 38: @@
 . https://www.encyclopediaofmath.org/legacyimages/d/d032/d032600/d032600107.png ; $C _ { 1 } > 0$ ; confidence 0.905
-. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120010/j12001034.png ; $C [ F ]$ ; confidence 0.905
+. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120010/j12001034.png ; $\mathbf{C} [ F ]$ ; confidence 0.905
 . https://www.encyclopediaofmath.org/legacyimages/y/y120/y120010/y1200108.png ; $\tau _ { U , V } : U \otimes _ { k } V \rightarrow V \otimes _ { k } U$ ; confidence 0.905
@@ Line 44: / Line 44: @@
 . https://www.encyclopediaofmath.org/legacyimages/a/a130/a130310/a13031028.png ; $\hat { \mu } ( X _ { i } ) = \sum _ { X _ { j } \leq X _ { i } } \mu ( X _ { j } )$ ; confidence 0.905
-. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840376.png ; $[ f , g ] = \int _ { \alpha } ^ { b } f g r d x$ ; confidence 0.905
+. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840376.png ; $[ f , g ] = \int _ { a } ^ { b } f \bar{g} r d x$ ; confidence 0.905
 . https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j12002027.png ; $\varphi _ { 1 }$ ; confidence 0.905
-. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780539.png ; $p$ ; confidence 0.905
+. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780539.png ; $\operatorname{mod} p$ ; confidence 0.905
-. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120110/e1201104.png ; $\nabla \times E + \frac { 1 } { c } \frac { \partial B } { \partial t } = 0$ ; confidence 0.905
+. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120110/e1201104.png ; $\nabla \times \mathbf{E} + \frac { 1 } { c } \frac { \partial \mathbf{B} } { \partial t } = 0;$ ; confidence 0.905
 . https://www.encyclopediaofmath.org/legacyimages/w/w120/w120100/w1201008.png ; $\square ^ { \prime } \Gamma _ { j k } ^ { i } ( x )$ ; confidence 0.905
-. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r13007030.png ; $\Lambda ^ { 2 } : = \sum _ { j = 1 } ^ { \infty } \lambda _ { j } < \infty , | \varphi _ { j } ( x ) | < c , \forall j , x$ ; confidence 0.905
+. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r13007030.png ; $\Lambda ^ { 2 } : = \sum _ { j = 1 } ^ { \infty } \lambda _ { j } < \infty , | \varphi _ { j } ( x ) | < c , \forall j , x.$ ; confidence 0.905
-. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130150/t13015075.png ; $S = T ^ { 2 }$ ; confidence 0.905
+. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130150/t13015075.png ; $S = \mathbf{T} ^ { 2 }$ ; confidence 0.905
 . https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f12023084.png ; $D \in \operatorname { Der } _ { k } \Omega ( M )$ ; confidence 0.905
-. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130030/d13003030.png ; $\hat { f } \in L ^ { 1 } ( R )$ ; confidence 0.905
+. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130030/d13003030.png ; $\hat { f } \in L ^ { 1 } ( \mathbf{R} )$ ; confidence 0.905
 . https://www.encyclopediaofmath.org/legacyimages/b/b015/b015660/b01566022.png ; $p \neq q$ ; confidence 0.905
@@ Line 78: / Line 78: @@
 . https://www.encyclopediaofmath.org/legacyimages/t/t120/t120070/t12007024.png ; $z \mapsto z + k$ ; confidence 0.905
-. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120070/t120070117.png ; $= \frac { 1 } { 2 } ( \frac { \Theta _ { \Delta } ( q ) } { \eta ( q ) ^ { 24 } } + \frac { \eta ( q ) ^ { 24 } } { \eta ( q ^ { 2 } ) ^ { 24 } } ) +$ ; confidence 0.904
+. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120070/t120070117.png ; $= \frac { 1 } { 2 } \left( \frac { \Theta _ { \Delta } ( q ) } { \eta ( q ) ^ { 24 } } + \frac { \eta ( q ) ^ { 24 } } { \eta ( q ^ { 2 } ) ^ { 24 } } \right) +$ ; confidence 0.904
 . https://www.encyclopediaofmath.org/legacyimages/a/a013/a013610/a01361026.png ; $x \rightarrow - \infty$ ; confidence 0.904
@@ Line 84: / Line 84: @@
 . https://www.encyclopediaofmath.org/legacyimages/a/a130/a130310/a13031017.png ; $4.2$ ; confidence 0.904
-. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120110/d12011024.png ; $\| 0 \| = 0$ ; confidence 0.904
+. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120110/d12011024.png ; $\| 0 \| = 0,$ ; confidence 0.904
-. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i130090118.png ; $R = Z _ { p } [ [ \Gamma ] ]$ ; confidence 0.904
+. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i130090118.png ; $R = \mathbf{Z} _ { p } [ [ \Gamma ] ]$ ; confidence 0.904
 . https://www.encyclopediaofmath.org/legacyimages/a/a013/a013290/a01329090.png ; $\Pi _ { 2 }$ ; confidence 0.904
-. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l057000115.png ; $F c _ { k }$ ; confidence 0.904
+. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l057000115.png ; $F \mathbf{c} _ { k }$ ; confidence 0.904
 . https://www.encyclopediaofmath.org/legacyimages/m/m120/m120120/m12012096.png ; $Q _ { r } ( R )$ ; confidence 0.904
-. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130140/w13014026.png ; $\operatorname { lim } _ { n \rightarrow \infty } \frac { n } { 2 } r ( n x ) = \delta ( x )$ ; confidence 0.904
+. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130140/w13014026.png ; $\operatorname { lim } _ { n \rightarrow \infty } \frac { n } { 2 } r ( n x ) = \delta ( x ).$ ; confidence 0.904
-. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130050/v13005065.png ; $= x _ { 2 } ^ { - 1 } \delta ( \frac { x _ { 1 } - x _ { 0 } } { x _ { 2 } } ) Y ( Y ( u , x _ { 0 } ) v , x _ { 2 } )$ ; confidence 0.904
+. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130050/v13005065.png ; $= x _ { 2 } ^ { - 1 } \delta \left( \frac { x _ { 1 } - x _ { 0 } } { x _ { 2 } } \right) Y ( Y ( u , x _ { 0 } ) v , x _ { 2 } ),$ ; confidence 0.904
 . https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s13051012.png ; $g ( F ( u ) ) = \{ g ( v ) : v \in F ( u ) \}$ ; confidence 0.904
-. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120050/f1200504.png ; $f$ ; confidence 0.904
+. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120050/f1200504.png ; $\mathbf{F}$ ; confidence 0.904
 . https://www.encyclopediaofmath.org/legacyimages/c/c130/c130260/c13026036.png ; $\langle [ A ] , \phi \rangle$ ; confidence 0.904
@@ Line 106: / Line 106: @@
 . https://www.encyclopediaofmath.org/legacyimages/f/f040/f040280/f040280104.png ; $K ( G )$ ; confidence 0.904
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017097.png ; $B$ ; confidence 0.904
+. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017097.png ; $\mathcal{B}$ ; confidence 0.904
 . https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050267.png ; $C > 0$ ; confidence 0.904
@@ Line 118: / Line 118: @@
 . https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k05584094.png ; $[ x , x ] > 0$ ; confidence 0.904
-. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e12012065.png ; $\propto \| \Sigma \| ^ { - 1 / 2 } [ \nu + ( y - \mu ) ^ { T } \Sigma ^ { - 1 } ( y - \mu ) ] ^ { - ( \nu + p ) / 2 }$ ; confidence 0.904
+. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e12012065.png ; $\propto \| \Sigma \| ^ { - 1 / 2 } [ \nu + ( y - \mu ) ^ { T } \Sigma ^ { - 1 } ( y - \mu ) ] ^ { - ( \nu + p ) / 2 },$ ; confidence 0.904
-. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120030/d12003023.png ; $b A _ { p }$ ; confidence 0.904
+. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120030/d12003023.png ; $b \mathcal{A} _ { p }$ ; confidence 0.904
-. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120010/w12001067.png ; $W _ { 1 } + \infty$ ; confidence 0.904
+. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120010/w12001067.png ; $W _ { 1  + \infty}$ ; confidence 0.904
 . https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040789.png ; $g \circ h = g ^ { \prime } \circ h$ ; confidence 0.904
@@ Line 132: / Line 132: @@
 . https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023038.png ; $M = [ a , b ]$ ; confidence 0.904
-. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240335.png ; $F = E X$ ; confidence 0.904
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240335.png ; $\mathbf{F} = \mathbf{EX}_4$ ; confidence 0.904
 . https://www.encyclopediaofmath.org/legacyimages/c/c130/c130150/c13015052.png ; $| \partial ^ { \alpha } u _ { \varepsilon } ( x ) |$ ; confidence 0.904
-. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120020/e12002034.png ; $( X )$ ; confidence 0.904
+. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120020/e12002034.png ; $\operatorname{cocat}( X )$ ; confidence 0.904
 . https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200110.png ; $c _ { m , n } = \sqrt { n } ( n / ( 4 e ( m + n ) ) ) ^ { n }$ ; confidence 0.903
@@ Line 146: / Line 146: @@
 . https://www.encyclopediaofmath.org/legacyimages/e/e120/e120240/e12024093.png ; $2 r > 2$ ; confidence 0.903
-. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m13014017.png ; $j _ { n } ( \zeta ) = \Gamma ( \frac { n } { 2 } ) ( \frac { 2 } { \zeta } ) ^ { ( n - 2 ) / 2 } J _ { ( n - 2 ) / 2 } ( \zeta )$ ; confidence 0.903
+. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m13014017.png ; $j _ { n } ( \zeta ) = \Gamma \left( \frac { n } { 2 } \right) \left( \frac { 2 } { \zeta } \right) ^ { ( n - 2 ) / 2 } J _ { ( n - 2 ) / 2 } ( \zeta ),$ ; confidence 0.903
-. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a120160117.png ; $x _ { i j }$ ; confidence 0.903
+. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a120160117.png ; $x _ { i j^{\prime} }$ ; confidence 0.903
 . https://www.encyclopediaofmath.org/legacyimages/w/w120/w120200/w12020018.png ; $\nu = n$ ; confidence 0.903
@@ Line 154: / Line 154: @@
 . https://www.encyclopediaofmath.org/legacyimages/h/h130/h130090/h13009044.png ; $t , g _ { i } , t ^ { - 1 }$ ; confidence 0.903
-. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340108.png ; $w : R \times S ^ { 1 } \rightarrow M$ ; confidence 0.903
+. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340108.png ; $w : \mathbf{R} \times S ^ { 1 } \rightarrow M$ ; confidence 0.903
-. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130060/i130060100.png ; $\varphi + ( k ) = S ( - k ) \varphi _ { - } ( k )$ ; confidence 0.903
+. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130060/i130060100.png ; $\varphi_{+} ( k ) = S ( - k ) \varphi _ { - } ( k ),$ ; confidence 0.903
 . https://www.encyclopediaofmath.org/legacyimages/t/t120/t120130/t12013081.png ; $\langle p , y \rangle = 0$ ; confidence 0.903
@@ Line 162: / Line 162: @@
 . https://www.encyclopediaofmath.org/legacyimages/d/d120/d120280/d12028058.png ; $\Phi ^ { m } \in C ^ { 2 } ( \overline { D } _ { m } )$ ; confidence 0.903
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b12042065.png ; $V ^ { \prime } : \underline { 1 } \rightarrow V \otimes V ^ { * }$ ; confidence 0.903
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b12042065.png ; $\operatorname{coev}_V  : \underline { 1 } \rightarrow V \otimes V ^ { * }$ ; confidence 0.903
 . https://www.encyclopediaofmath.org/legacyimages/v/v130/v130070/v13007046.png ; $q e ^ { ( - i \theta ) }$ ; confidence 0.903
-. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220233.png ; $H _ { H }$ ; confidence 0.903
+. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220233.png ; $H _ { \mathcal{H} }$ ; confidence 0.903
 . https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040063.png ; $G / B$ ; confidence 0.903
@@ Line 172: / Line 172: @@
 . https://www.encyclopediaofmath.org/legacyimages/e/e120/e120020/e12002090.png ; $\sum Y$ ; confidence 0.903
-. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o13001066.png ; $i _ { 1 } : H ^ { 1 } ( D ^ { \prime } R ) \rightarrow L ^ { 2 } ( D _ { R } ^ { \prime } )$ ; confidence 0.903
+. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o13001066.png ; $i _ { 1 } : H ^ { 1 } ( D ^ { \prime  R} ) \rightarrow L ^ { 2 } ( D _ { R } ^ { \prime } )$ ; confidence 0.903
 . https://www.encyclopediaofmath.org/legacyimages/a/a011/a011620/a01162012.png ; $L _ { p }$ ; confidence 0.903
@@ Line 188: / Line 188: @@
 . https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200187.png ; $z \in \{ | z | \geq \rho \} \cup \{ | \operatorname { arc } z | < \kappa \}$ ; confidence 0.903
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b12015014.png ; $\{ 0,1 \} ^ { x }$ ; confidence 0.903
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b12015014.png ; $\{ 0,1 \} ^ { n }$ ; confidence 0.903
 . https://www.encyclopediaofmath.org/legacyimages/c/c120/c120040/c12004066.png ; $| \alpha | = \alpha _ { 1 } + \ldots + \alpha _ { n }$ ; confidence 0.903
-. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240223.png ; $\zeta _ { i } = E ( z _ { i } )$ ; confidence 0.903
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240223.png ; $\zeta _ { i } = \mathsf{E} ( z _ { i } )$ ; confidence 0.903
 . https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a01417037.png ; $M / \Gamma$ ; confidence 0.903
@@ Line 198: / Line 198: @@
 . https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008038.png ; $A = S ^ { \prime \prime } ( 0 )$ ; confidence 0.903
-. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170129.png ; $L ^ { 2 } = pt$ ; confidence 0.902
+. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170129.png ; $L ^ { 2 } = \operatorname {pt}$ ; confidence 0.902
-. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110020/l11002065.png ; $x = x ^ { + } x ^ { - } , \quad x ^ { + } \wedge ( x ^ { - } ) ^ { - 1 } = e$ ; confidence 0.902
+. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110020/l11002065.png ; $x = x ^ { + } x ^ { - } , \quad x ^ { + } \bigwedge ( x ^ { - } ) ^ { - 1 } = e,$ ; confidence 0.902
-. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s120320108.png ; $\operatorname { lim } ( V _ { I } ) \neq 0$ ; confidence 0.902
+. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s120320108.png ; $\operatorname { lim } ( V _ { \overline{1} } ) \neq 0$ ; confidence 0.902
 . https://www.encyclopediaofmath.org/legacyimages/b/b130/b130230/b13023061.png ; $H _ { n } = \operatorname { rist } _ { G } ( n )$ ; confidence 0.902
@@ Line 208: / Line 208: @@
 . https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g12004072.png ; $p _ { \alpha } \in G ^ { s } ( \Omega )$ ; confidence 0.902
-. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110430/b1104302.png ; $R _ { + }$ ; confidence 0.902
+. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110430/b1104302.png ; $\mathbf{R} _ { + }$ ; confidence 0.902
-. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120060/i12006031.png ; $\operatorname { ldim } ( P ) \leq \operatorname { dim } ( Q )$ ; confidence 0.902
+. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120060/i12006031.png ; $\operatorname { Idim } ( P ) \leq \operatorname { dim } ( Q )$ ; confidence 0.902
 . https://www.encyclopediaofmath.org/legacyimages/b/b120/b120310/b12031090.png ; $\{ \phi _ { k } \}$ ; confidence 0.902
@@ Line 218: / Line 218: @@
 . https://www.encyclopediaofmath.org/legacyimages/s/s130/s130530/s130530106.png ; $| W |$ ; confidence 0.902
-. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130020/z1300208.png ; $Z = \{ x \in R : f ( x ) = 0 \}$ ; confidence 0.902
+. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130020/z1300208.png ; $Z = \{ x \in \mathbf{R} : f ( x ) = 0 \}$ ; confidence 0.902
 . https://www.encyclopediaofmath.org/legacyimages/s/s120/s120260/s12026031.png ; $D _ { t } ^ { * } : ( L ^ { 2 } ) \rightarrow \Gamma ^ { - }$ ; confidence 0.902
@@ Line 226: / Line 226: @@
 . https://www.encyclopediaofmath.org/legacyimages/i/i130/i130040/i13004011.png ; $x \neq 0 ( \operatorname { mod } 2 \pi )$ ; confidence 0.902
-. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120110/n12011076.png ; $[ \underline { f } \square _ { \alpha } ( x ) , \overline { f } _ { \alpha } ( x ) ]$ ; confidence 0.902
+. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120110/n12011076.png ; $\left[ \underline { f } \square _ { \alpha } ( x ) , \overline { f } _ { \alpha } ( x ) \right]$ ; confidence 0.902
 . https://www.encyclopediaofmath.org/legacyimages/b/b130/b130220/b1302201.png ; $P _ { K }$ ; confidence 0.902
-. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j120020173.png ; $U _ { \tau } ^ { * } = \operatorname { sup } _ { 0 } \leq t < \tau | U _ { t } |$ ; confidence 0.902
+. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j120020173.png ; $U _ { \tau } ^ { * } = \operatorname { sup } _ { 0  \leq t < \tau} | U _ { t } |$ ; confidence 0.902
 . https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z13011047.png ; $10 / 11$ ; confidence 0.902
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b12042022.png ; $8$ ; confidence 0.902
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b12042022.png ; $\otimes$ ; confidence 0.902
-. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130160/c130160190.png ; $\Sigma ^ { 1 } _ { 1 }$ ; confidence 0.902
+. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130160/c130160190.png ; $\Sigma ^ { 1  _ { 1 }}$ ; confidence 0.902
-. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l05700095.png ; $s e \equiv \lambda x y \cdot y$ ; confidence 0.902
+. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l05700095.png ; $\mathbf{false} \equiv \lambda x y . y$ ; confidence 0.902
-. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m1301408.png ; $\int _ { S ( x , r ) } f ( y ) d \sigma _ { r } ( y ) = f ( x ) , x \in R ^ { n } , r \in R ^ { + }$ ; confidence 0.902
+. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m1301408.png ; $\int _ { S ( x , r ) } f ( y ) d \sigma _ { r } ( y ) = f ( x ) , x \in \mathbf{R} ^ { n } , r \in \mathbf{R} ^ { + },$ ; confidence 0.902
-. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120070/t120070102.png ; $v - 11 = v$ ; confidence 0.902
+. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120070/t120070102.png ; $v _{- 1}1 = v$ ; confidence 0.902
 . https://www.encyclopediaofmath.org/legacyimages/w/w120/w120120/w12012049.png ; $g = \psi h$ ; confidence 0.902
@@ Line 250: / Line 250: @@
 . https://www.encyclopediaofmath.org/legacyimages/d/d033/d033720/d03372067.png ; $a > 1$ ; confidence 0.902
-. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130040/b13004030.png ; $\neq E \subset X$ ; confidence 0.902
+. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130040/b13004030.png ; $\emptyset \neq E \subset X$ ; confidence 0.902
-. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110660/b11066014.png ; $\| f \| _ { * } = \operatorname { sup } _ { Q } \frac { 1 } { | Q | } \int _ { Q } | f ( t ) - f _ { Q } | d t < \infty$ ; confidence 0.901
+. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110660/b11066014.png ; $\| f \| _ { * } = \operatorname { sup } _ { Q } \frac { 1 } { | Q | } \int _ { Q } | f ( t ) - f _ { Q } | d t < \infty,$ ; confidence 0.901
 . https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021056.png ; $n = 1$ ; confidence 0.901
-. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003021.png ; $V ^ { \Lambda }$ ; confidence 0.901
+. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003021.png ; $\mathcal{V} ^ { \Lambda }$ ; confidence 0.901
 . https://www.encyclopediaofmath.org/legacyimages/k/k120/k120040/k1200404.png ; $\Lambda _ { D } ( a , x )$ ; confidence 0.901
-. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064510/m064510131.png ; $A _ { 8 }$ ; confidence 0.901
+. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064510/m064510131.png ; $A _ { g }$ ; confidence 0.901
 . https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f13029015.png ; $T _ { m } ( a , b ) = ( a + b - 1 ) \vee 0$ ; confidence 0.901
-. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010104.png ; $\operatorname { Sp } ( n + 1 ) / \operatorname { Sp } ( n ) , \quad \operatorname { Sp } ( n + 1 ) / \operatorname { Sp } ( n ) \times Z _ { 2 }$ ; confidence 0.901
+. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010104.png ; $\operatorname { Sp } ( n + 1 ) / \operatorname { Sp } ( n ) , \quad \operatorname { Sp } ( n + 1 ) / \operatorname { Sp } ( n ) \times \mathbf{Z} _ { 2 },$ ; confidence 0.901
 . https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e120120103.png ; $f ( \phi | \theta ^ { ( t ) } )$ ; confidence 0.901
@@ Line 272: / Line 272: @@
 . https://www.encyclopediaofmath.org/legacyimages/k/k120/k120050/k12005026.png ; $\mu ^ { * } ( K _ { X } + B ) = K _ { Y } + \sum _ { j = 1 } ^ { t } b _ { j } \mu _ { * } ^ { - 1 } B _ { j } + \sum _ { k = 1 } ^ { s } d _ { k } D _ { k }$ ; confidence 0.901
-. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c12021091.png ; $L ( T _ { n } | P _ { n } ) \Rightarrow N ( 0 , \Gamma )$ ; confidence 0.901
+. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c12021091.png ; $\mathcal{L} ( T _ { n } | P _ { n } ) \Rightarrow N ( 0 , \Gamma )$ ; confidence 0.901
 . https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i13003098.png ; $k _ { t } ( x , x )$ ; confidence 0.901
@@ Line 278: / Line 278: @@
 . https://www.encyclopediaofmath.org/legacyimages/b/b130/b130220/b13022026.png ; $\| u \| _ { p , T } = ( \int _ { T } | u ( x ) | ^ { p } d x ) ^ { 1 / p }$ ; confidence 0.901
-. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w1200705.png ; $\{ f , g \} = \sum ( \frac { \partial f } { \partial p _ { j } } \frac { \partial g } { \partial q _ { j } } - \frac { \partial f } { \partial q _ { j } } \frac { \partial g } { \partial p _ { j } } )$ ; confidence 0.901
+. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w1200705.png ; $\{ f , g \} = \sum \left( \frac { \partial f } { \partial p _ { j } } \frac { \partial g } { \partial q _ { j } } - \frac { \partial f } { \partial q _ { j } } \frac { \partial g } { \partial p _ { j } } \right).$ ; confidence 0.901
 . https://www.encyclopediaofmath.org/legacyimages/f/f130/f130130/f1301309.png ; $S \neq 0$ ; confidence 0.901
@@ Line 284: / Line 284: @@
 . https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004037.png ; $\varphi \in T$ ; confidence 0.901
-. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120080/i12008081.png ; $P = \left( \begin{array} { c c } { \lambda _ { + } } & { 0 } \\ { 0 } & { \lambda _ { - } } \end{array} \right) , \quad P ^ { N } = \left( \begin{array} { c c } { \lambda _ { + } ^ { N } } & { 0 } \\ { 0 } & { \lambda ^ { N } } \end{array} \right)$ ; confidence 0.901
+. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120080/i12008081.png ; $\mathcal{P} = \left( \begin{array} { c c } { \lambda _ { + } } & { 0 } \\ { 0 } & { \lambda _ { - } } \end{array} \right) , \quad \mathcal{P} ^ { N } = \left( \begin{array} { c c } { \lambda _ { + } ^ { N } } & { 0 } \\ { 0 } & { \lambda ^ { N } } \end{array} \right),$ ; confidence 0.901
-. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120050/k12005066.png ; $f \circ g ( P ^ { 1 } )$ ; confidence 0.901
+. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120050/k12005066.png ; $f \circ g ( \mathbf{P} ^ { 1 } )$ ; confidence 0.901
 . https://www.encyclopediaofmath.org/legacyimages/e/e120/e120060/e12006069.png ; $\nabla _ { \Gamma } s : T M \rightarrow V Y$ ; confidence 0.901
-. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060030/l06003069.png ; $P \hat { U }$ ; confidence 0.901
+. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060030/l06003069.png ; $P \tilde { U }$ ; confidence 0.901
 . https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f12011011.png ; $| \operatorname { Im } z | < \delta$ ; confidence 0.901
@@ Line 296: / Line 296: @@
 . https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w13009097.png ; $L ^ { 2 } ( [ 0,1 ] ^ { n } )$ ; confidence 0.901
-. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120180/w12018057.png ; $G ( A ) = \cap _ { \epsilon } > 0 H ( A _ { \epsilon } )$ ; confidence 0.901
+. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120180/w12018057.png ; $G ( A ) = \cap _ { \epsilon  > 0} H ( A _ { \epsilon } )$ ; confidence 0.901
 . https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o130010112.png ; $\alpha ^ { \prime } , \alpha \in S ^ { 2 } , k _ { 0 } > 0$ ; confidence 0.901
@@ Line 312: / Line 312: @@
 . https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a130180112.png ; $c _ { i } ^ { U }$ ; confidence 0.900
-. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032012.png ; $p ( x , y ) = p ( x ) + p ( y )$ ; confidence 0.900
+. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032012.png ; $p ( x . y ) = p ( x ) + p ( y )$ ; confidence 0.900
-. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130060/w13006035.png ; $\{ ( \tau _ { j } , 1 _ { j } ) \}$ ; confidence 0.900
+. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130060/w13006035.png ; $\{ ( \tau _ { j } , \text{l} _ { j } ) \}$ ; confidence 0.900
-. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120020/e12002061.png ; $\pi _ { n } ( X , Y ) = [ \Sigma ^ { n } X , Y ] \cong [ X , \Omega ^ { n } Y ]$ ; confidence 0.900
+. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120020/e12002061.png ; $\pi _ { n } ( X , Y ) = [ \Sigma ^ { n } X , Y ] \cong [ X , \Omega ^ { n } Y ],$ ; confidence 0.900
 . https://www.encyclopediaofmath.org/legacyimages/e/e120/e120010/e12001094.png ; $G : \mathfrak { A } \rightarrow \mathfrak { X }$ ; confidence 0.900
@@ Line 322: / Line 322: @@
 . https://www.encyclopediaofmath.org/legacyimages/w/w120/w120170/w12017061.png ; $l + n > 2$ ; confidence 0.900
-. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040132.png ; $IPC$ ; confidence 0.900
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040132.png ; $\text{IPC}$ ; confidence 0.900
-. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040581.png ; $S 5 ^ { W }$ ; confidence 0.900
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040581.png ; $\text{S} 5 ^ { \text{W} }$ ; confidence 0.900
 . https://www.encyclopediaofmath.org/legacyimages/e/e120/e120190/e120190158.png ; $h _ { 1 } \cup h _ { 2 }$ ; confidence 0.900
@@ Line 336: / Line 336: @@
 . https://www.encyclopediaofmath.org/legacyimages/w/w120/w120180/w1201805.png ; $t \wedge s = \operatorname { min } ( t , s )$ ; confidence 0.900
-. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020094.png ; $\mathfrak { g } ^ { \alpha } < \infty$ ; confidence 0.900
+. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020094.png ; $\operatorname{ dim} \mathfrak { g } ^ { \alpha } < \infty$ ; confidence 0.900
 . https://www.encyclopediaofmath.org/legacyimages/k/k120/k120050/k12005015.png ; $0 \leq b _ { j } \leq 1$ ; confidence 0.900
-. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002023.png ; $t \in I$ ; confidence 0.900
+. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002023.png ; $t \in \mathbf{I}$ ; confidence 0.900
 . https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b1102206.png ; $K _ { i } ( X )$ ; confidence 0.900
-. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010800/a01080024.png ; $\overline { \nabla }$ ; confidence 0.900
+. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010800/a01080024.png ; $\tilde { \nabla }$ ; confidence 0.900
 . https://www.encyclopediaofmath.org/legacyimages/b/b120/b120020/b12002053.png ; $Q _ { n } ( t ) = Q ( t ) + \frac { t - F _ { n } ( Q ( t ) ) } { f ( Q ( t ) ) } +$ ; confidence 0.900
-. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120080/w12008018.png ; $( f \times g ) ( q , p ) : = W ^ { - 1 } ( W ( f ) W ( g ) )$ ; confidence 0.900
+. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120080/w12008018.png ; $( f \times g ) ( q , p ) : = W ^ { - 1 } ( W ( f ) .W ( g ) ).$ ; confidence 0.900
 . https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t1301401.png ; $Q = ( Q _ { 0 } , Q _ { 1 } )$ ; confidence 0.900
-. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130040/g130040184.png ; $\delta \nu ( X ) = \int \{ X ( x ) , V \rangle d \nu ( x , V )$ ; confidence 0.900
+. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130040/g130040184.png ; $\delta \nu ( X ) = \int \langle X ( x ) , V \rangle d \nu ( x , V ).$ ; confidence 0.900
 . https://www.encyclopediaofmath.org/legacyimages/b/b130/b130260/b13026066.png ; $\operatorname { deg } _ { B } [ f , \Omega , C _ { i } ]$ ; confidence 0.900
@@ Line 360: / Line 360: @@
 . https://www.encyclopediaofmath.org/legacyimages/q/q076/q076820/q076820144.png ; $P _ { j } ( x )$ ; confidence 0.899
-. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c12021067.png ; $\{ L _ { m } \}$ ; confidence 0.899
+. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c12021067.png ; $\{ \mathcal{L} _ { m } \}$ ; confidence 0.899
 . https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f12021039.png ; $\lambda _ { i } - \lambda _ { j }$ ; confidence 0.899
@@ Line 370: / Line 370: @@
 . https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c13007058.png ; $D _ { t _ { 0 } }$ ; confidence 0.899
-. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025340/c02534010.png ; $1$ ; confidence 0.899
+. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025340/c02534010.png ; $|$ ; confidence 0.899
-. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003020.png ; $w \in E ^ { \prime } ( \Omega )$ ; confidence 0.899
+. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003020.png ; $w \in \mathcal{E} ^ { \prime } ( \Omega )$ ; confidence 0.899
 . https://www.encyclopediaofmath.org/legacyimages/d/d120/d120120/d12012014.png ; $d _ { 0 } : O G \rightarrow O G ^ { \prime } , \quad d _ { A } : A G \rightarrow A G ^ { \prime }$ ; confidence 0.899
-. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120280/d12028010.png ; $\{ f m \}$ ; confidence 0.899
+. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120280/d12028010.png ; $\{ f_{m} \}$ ; confidence 0.899
 . https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240496.png ; $s = 2$ ; confidence 0.899
-. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130040/l1300407.png ; $[ x y z ] = - [ y x z ]$ ; confidence 0.899
+. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130040/l1300407.png ; $[ x y z ] = - [ y x z ],$ ; confidence 0.899
 . https://www.encyclopediaofmath.org/legacyimages/a/a120/a120270/a12027086.png ; $W ( \overline { \rho } ) = \overline { W ( \rho ) }$ ; confidence 0.899
-. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120150/e12015053.png ; $R _ { j k } ^ { i }$ ; confidence 0.899
+. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120150/e12015053.png ; $\mathcal{R} _ { j k } ^ { i }$ ; confidence 0.899
 . https://www.encyclopediaofmath.org/legacyimages/j/j130/j130070/j13007069.png ; $\angle \operatorname { lim } _ { z \rightarrow \omega } F ^ { \prime } ( z ) = \angle F ^ { \prime } ( \omega ) = \omega \overline { \eta } d ( \omega )$ ; confidence 0.899
@@ Line 390: / Line 390: @@
 . https://www.encyclopediaofmath.org/legacyimages/e/e120/e120020/e12002076.png ; $g \circ \alpha = \beta \circ f$ ; confidence 0.899
-. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w12007015.png ; $q$ ; confidence 0.899
+. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w12007015.png ; $\mathbf{q}_j$ ; confidence 0.899
-. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020027.png ; $3$ ; confidence 0.899
+. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020027.png ; $\mathfrak{D}$ ; confidence 0.899
-. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s13064019.png ; $\frac { 1 } { n } \sum _ { k = 1 } ^ { n } f ( \lambda _ { k } ^ { ( n ) } ) = \frac { 1 } { 2 \pi } \int _ { 0 } ^ { 2 \pi } f ( a ( e ^ { i \theta } ) ) d \theta + o ( 1 )$ ; confidence 0.899
+. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s13064019.png ; $\frac { 1 } { n } \sum _ { k = 1 } ^ { n } f ( \lambda _ { k } ^ { ( n ) } ) = \frac { 1 } { 2 \pi } \int _ { 0 } ^ { 2 \pi } f ( a ( e ^ { i \theta } ) ) d \theta + o ( 1 ),$ ; confidence 0.899
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120040/b12004045.png ; $1 f$ ; confidence 0.899
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120040/b12004045.png ; $| f|$ ; confidence 0.899
 . https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f13010027.png ; $A _ { p } ( G )$ ; confidence 0.899
-. https://www.encyclopediaofmath.org/legacyimages/y/y120/y120020/y12002023.png ; $\nabla _ { A } ^ { * } F _ { A } = 0$ ; confidence 0.899
+. https://www.encyclopediaofmath.org/legacyimages/y/y120/y120020/y12002023.png ; $\nabla _ { A }  *  F _ { A } = 0,$ ; confidence 0.899
-. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120020/i12002010.png ; $\times \int _ { 0 } ^ { \infty } \tau \operatorname { sinh } ( \pi \tau ) S _ { \mu , i \tau } ( x ) | \Gamma ( \frac { 1 - \mu + i \tau } { 2 } ) | ^ { 2 } g ( \tau ) d \tau$ ; confidence 0.899
+. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120020/i12002010.png ; $\times \int _ { 0 } ^ { \infty } \tau \operatorname { sinh } ( \pi \tau ) S _ { \mu , i \tau } ( x ) \left| \Gamma \left( \frac { 1 - \mu + i \tau } { 2 } \right) \right| ^ { 2 } g ( \tau ) d \tau.$ ; confidence 0.899
-. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f120110193.png ; $\{ z = x + i y : x _ { 1 } > \frac { | x ^ { \prime } | + 1 } { \varepsilon } , | y | < \varepsilon \}$ ; confidence 0.899
+. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f120110193.png ; $\left\{ z = x + i y : x _ { 1 } > \frac { | x ^ { \prime } | + 1 } { \varepsilon } , | y | < \varepsilon \right\},$ ; confidence 0.899
-. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130310/a13031074.png ; $( X )$ ; confidence 0.899
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130310/a13031074.png ; $\text{time}_\mathcal{A}( X )$ ; confidence 0.899
 . https://www.encyclopediaofmath.org/legacyimages/d/d120/d120190/d12019026.png ; $\lambda ( L ) = \operatorname { sup } \{ E ( f ) : f \in L , \| f \| _ { L _ { 2 } ( \Omega ) } = 1 \}$ ; confidence 0.899
-. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027560/c0275606.png ; $k = Q$ ; confidence 0.899
+. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027560/c0275606.png ; $k = \mathbf{Q}$ ; confidence 0.899
 . https://www.encyclopediaofmath.org/legacyimages/m/m062/m062220/m06222044.png ; $h < n$ ; confidence 0.899
@@ Line 420: / Line 420: @@
 . https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h120120128.png ; $\hat { \tau } : C \rightarrow Y$ ; confidence 0.898
-. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130140/c13014018.png ; $B = ( b _ { i } , j )$ ; confidence 0.898
+. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130140/c13014018.png ; $B = ( b _ { i  , j} )$ ; confidence 0.898
 . https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h120120114.png ; $T ( . )$ ; confidence 0.898
-. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f1302907.png ; $T \otimes T = T$ ; confidence 0.898
+. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f1302907.png ; $\top  \otimes \top  = \top $ ; confidence 0.898
 . https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840379.png ; $L _ { 2 } = L _ { 2 } [ 0 , \infty )$ ; confidence 0.898
@@ Line 430: / Line 430: @@
 . https://www.encyclopediaofmath.org/legacyimages/a/a120/a120040/a12004016.png ; $x _ { 0 } \in \overline { D ( A ) }$ ; confidence 0.898
-. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120070/q12007038.png ; $g ^ { n } = 1 , E ^ { n } = F ^ { n } = 0$ ; confidence 0.898
+. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120070/q12007038.png ; $g ^ { n } = 1 , E ^ { n } = F ^ { n } = 0,$ ; confidence 0.898
 . https://www.encyclopediaofmath.org/legacyimages/i/i130/i130010/i13001037.png ; $A = \left( \begin{array} { c c } { B } & { C } \\ { C ^ { * } } & { D } \end{array} \right)$ ; confidence 0.898
-. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i130090224.png ; $Y = \operatorname { Gal } ( M ( k ^ { \prime } ) / k _ { \infty } ^ { \prime } ) \otimes Z _ { p } [ \chi ]$ ; confidence 0.898
+. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i130090224.png ; $Y = \operatorname { Gal } ( M ( k ^ { \prime } ) / k _ { \infty } ^ { \prime } ) \otimes \mathbf{Z} _ { p } [ \chi ]$ ; confidence 0.898
 . https://www.encyclopediaofmath.org/legacyimages/c/c120/c120040/c12004049.png ; $f \in H _ { c } ( D )$ ; confidence 0.898
-. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120140/w12014036.png ; $S \square T$ ; confidence 0.898
+. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120140/w12014036.png ; $S \boxplus T$ ; confidence 0.898
 . https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h120120122.png ; $\overline { B } ( A )$ ; confidence 0.898
-. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120140/t12014090.png ; $\phi \nmid | \phi |$ ; confidence 0.898
+. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120140/t12014090.png ; $\phi / | \phi |$ ; confidence 0.898
 . https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520401.png ; $z _ { 1 } = \ldots = z _ { k } = 0$ ; confidence 0.898
@@ Line 448: / Line 448: @@
 . https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a13032027.png ; $H _ { 1 } : \theta = q = 1 - p$ ; confidence 0.898
-. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093560/t09356048.png ; $\lambda f ( x )$ ; confidence 0.898
+. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093560/t09356048.png ; $\lambda_ f ( x )$ ; confidence 0.898
 . https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340114.png ; $\operatorname { grad } S _ { H }$ ; confidence 0.898
@@ Line 454: / Line 454: @@
 . https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840332.png ; $K ( s , t ) = \overline { K ( t , s ) }$ ; confidence 0.898
-. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110193.png ; $G _ { X } \leq G _ { X } ^ { g }$ ; confidence 0.898
+. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110193.png ; $G _ { X } \leq G _ { X } ^ { g };$ ; confidence 0.898
-. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120100/i12010025.png ; $d s _ { M } ^ { 2 } = d t ^ { 2 } + f ( t ) d s _ { N } ^ { 2 }$ ; confidence 0.898
+. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120100/i12010025.png ; $d s _ { M } ^ { 2 } = d t ^ { 2 } + f ( t ) d s _ { N } ^ { 2 },$ ; confidence 0.898
-. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130060/i13006079.png ; $S \Rightarrow \rho \Rightarrow q$ ; confidence 0.898
+. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130060/i13006079.png ; $\mathcal{S} \Rightarrow \rho \Rightarrow q$ ; confidence 0.898
-. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002046.png ; $GF ( q )$ ; confidence 0.897
+. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002046.png ; $\operatorname {GF} ( q )$ ; confidence 0.897
-. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f12015057.png ; $r ^ { \prime } ( A ) = \operatorname { lim } _ { n \rightarrow \infty } \beta ( A ^ { n } )$ ; confidence 0.897
+. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f12015057.png ; $r ^ { \prime } ( A ) = \operatorname { lim } _ { n \rightarrow \infty } \beta ( A ^ { n } ).$ ; confidence 0.897
 . https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f1202302.png ; $\Omega ^ { k } ( M ; T M ) = \Gamma ( \wedge ^ { k } T ^ { * } M \otimes T M )$ ; confidence 0.897
-. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060030/l06003068.png ; $P T$ ; confidence 0.897
+. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060030/l06003068.png ; $P \tilde{T}$ ; I'm not sure.
 . https://www.encyclopediaofmath.org/legacyimages/d/d030/d030060/d0300603.png ; $C ^ { 2 } ( - \infty , + \infty )$ ; confidence 0.897
@@ Line 472: / Line 472: @@
 . https://www.encyclopediaofmath.org/legacyimages/l/l130/l130040/l13004010.png ; $x , y , z , u , v , w \in U$ ; confidence 0.897
-. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040240.png ; $\Gamma \cup \{ \varphi \} \subseteq Fm$ ; confidence 0.897
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040240.png ; $\Gamma \cup \{ \varphi \} \subseteq \text{Fm}$ ; confidence 0.897
 . https://www.encyclopediaofmath.org/legacyimages/b/b017/b017350/b01735084.png ; $L u = f$ ; confidence 0.897
@@ Line 484: / Line 484: @@
 . https://www.encyclopediaofmath.org/legacyimages/b/b130/b130230/b1302305.png ; $H _ { n } \cong L _ { n } \times \ldots \times L _ { n }$ ; confidence 0.897
-. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120300/c120300103.png ; $u ( t ) = e ^ { i k t }$ ; confidence 0.897
+. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120300/c120300103.png ; $u ( t ) = e ^ { i h t }$ ; confidence 0.897
 . https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k05584096.png ; $[ x , x ] = 0$ ; confidence 0.897
-. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120060/l12006047.png ; $( \phi , e ^ { - i H t } \phi ) = \frac { 1 } { 2 \pi i } \int _ { C } e ^ { - i z t } ( \phi , G ( z ) \phi ) d z$ ; confidence 0.897
+. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120060/l12006047.png ; $( \phi , e ^ { - i H t } \phi ) = \frac { 1 } { 2 \pi i } \int _ { C } e ^ { - i z t } ( \phi , G ( z ) \phi ) d z,$ ; confidence 0.897
-. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j13004033.png ; $942$ ; confidence 0.897
+. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j13004033.png ; $9_{42}$ ; confidence 0.897
 . https://www.encyclopediaofmath.org/legacyimages/a/a130/a130290/a13029056.png ; $\phi = id$ ; confidence 0.897
@@ Line 498: / Line 498: @@
 . https://www.encyclopediaofmath.org/legacyimages/k/k055/k055080/k0550803.png ; $\sum _ { k = 1 } ^ { n } | d z _ { k } | ^ { 2 }$ ; confidence 0.897
-. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120010/h12001046.png ; $\beta ^ { x } \neq 0$ ; confidence 0.897
+. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120010/h12001046.png ; $\beta ^ { n } \neq 0$ ; confidence 0.897
 . https://www.encyclopediaofmath.org/legacyimages/f/f120/f120080/f120080135.png ; $\Lambda _ { G } = 1$ ; confidence 0.897
-. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o13006047.png ; $\frac { 1 } { i } ( A _ { k } - A _ { k } ^ { * } ) = \Phi ^ { * } \sigma _ { k } \Phi$ ; confidence 0.897
+. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o13006047.png ; $\frac { 1 } { i } ( A _ { k } - A _ { k } ^ { * } ) = \Phi ^ { * } \sigma _ { k } \Phi ,$ ; confidence 0.897
-. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110040/l110040108.png ; $G \in R$ ; confidence 0.897
+. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110040/l110040108.png ; $G \in \mathcal{R}$ ; confidence 0.897
 . https://www.encyclopediaofmath.org/legacyimages/b/b016/b016150/b01615048.png ; $\gamma _ { k }$ ; confidence 0.897
-. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120110/e1201105.png ; $\nabla D = q f$ ; confidence 0.897
+. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120110/e1201105.png ; $\nabla . \mathbf{D} = q_ f;$ ; confidence 0.897
 . https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i130090203.png ; $L _ { p } ( s , \chi ) = G _ { \chi } ^ { * } ( u ^ { s } - 1 ) / ( u ^ { s } - u )$ ; confidence 0.897
@@ Line 516: / Line 516: @@
 . https://www.encyclopediaofmath.org/legacyimages/s/s130/s130660/s1306609.png ; $Q _ { n } ( z , \tau ) = \phi _ { n } ( z ) + \tau \phi _ { n } ^ { * } ( z )$ ; confidence 0.897
-. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120070/e12007087.png ; $H ^ { 1 } = H ^ { 1 } ( \Gamma , k , v ; P ( k ) )$ ; confidence 0.897
+. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120070/e12007087.png ; $H ^ { 1 } = H ^ { 1 } ( \Gamma , k , \mathbf{v} ; P ( k ) )$ ; confidence 0.897
 . https://www.encyclopediaofmath.org/legacyimages/b/b120/b120340/b12034059.png ; $f = \sum f _ { n } \varphi _ { n }$ ; confidence 0.897
@@ Line 526: / Line 526: @@
 . https://www.encyclopediaofmath.org/legacyimages/a/a130/a130120/a13012061.png ; $A G ( 2 , q )$ ; confidence 0.896
-. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120050/l1200508.png ; $F ( \tau ) = \int _ { 0 } ^ { \infty } \operatorname { Im } K _ { 1 / 2 } + i \tau ( x ) f ( x ) d x$ ; confidence 0.896
+. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120050/l1200508.png ; $F ( \tau ) = \int _ { 0 } ^ { \infty } \operatorname { Im } K _ { 1 / 2  + i \tau} ( x ) f ( x ) d x,$ ; confidence 0.896
 . https://www.encyclopediaofmath.org/legacyimages/b/b017/b017340/b01734028.png ; $\partial S$ ; confidence 0.896
-. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120010/q12001059.png ; $t \mapsto \sqrt { - 1 }$ ; confidence 0.896
+. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120010/q12001059.png ; $t \mapsto \sqrt { - 1 }t$ ; confidence 0.896
 . https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002010.png ; $g \neq 1$ ; confidence 0.896
@@ Line 544: / Line 544: @@
 . https://www.encyclopediaofmath.org/legacyimages/w/w130/w130170/w13017027.png ; $z _ { t } ^ { ( i ) }$ ; confidence 0.896
-. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510138.png ; $k \in Z ^ { 0 }$ ; confidence 0.896
+. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510138.png ; $k \in \mathbf{Z} ^ { 0 }$ ; confidence 0.896
 . https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023014.png ; $c _ { i } = c _ { - i } ^ { * }$ ; confidence 0.896
@@ Line 550: / Line 550: @@
 . https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013035.png ; $Q _ { 0 } = P _ { 0 }$ ; confidence 0.896
-. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015350/b015350285.png ; $k \in Z$ ; confidence 0.896
+. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015350/b015350285.png ; $k \in \mathbf{Z}$ ; confidence 0.896
-. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120240/s12024017.png ; $p _ { i } : X \rightarrow X$ ; confidence 0.896
+. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120240/s12024017.png ; $p _ { i } : X \rightarrow X_i$ ; confidence 0.896
-. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o13006087.png ; $A _ { k } ^ { ( 2 ) } = U A _ { k } ^ { ( 1 ) } U ^ { - 1 } ( k = 1,2 )$ ; confidence 0.896
+. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o13006087.png ; $A _ { k } ^ { ( 2 ) } = U A _ { k } ^ { ( 1 ) } U ^ { - 1 } ( k = 1,2 ),$ ; confidence 0.896
-. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t13013030.png ; $F = \{ C : \operatorname { Hom } _ { \Lambda } ( T , C ) = 0 \}$ ; confidence 0.896
+. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t13013030.png ; $\mathcal{F} = \{ C : \operatorname { Hom } _ { \Lambda } ( \mathcal{T} , C ) = 0 \}$ ; confidence 0.896
-. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006080.png ; $m ^ { T X } ( A ) = m ( B )$ ; confidence 0.896
+. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006080.png ; $m ^ { \uparrow X } ( A ) = m ( B )$ ; confidence 0.896
 . https://www.encyclopediaofmath.org/legacyimages/k/k055/k055580/k05558033.png ; $K ( G , 1 )$ ; confidence 0.896
-. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130110/t13011018.png ; $T ( T _ { A } ) = \{ M _ { A } : \operatorname { Ext } _ { A } ^ { 1 } ( T , M ) = 0 \}$ ; confidence 0.896
+. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130110/t13011018.png ; $\mathcal{T} ( T _ { A } ) = \{ M _ { A } : \operatorname { Ext } _ { A } ^ { 1 } ( T , M ) = 0 \}$ ; confidence 0.896
 . https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080224.png ; $N _ { f } < 2 N _ { c }$ ; confidence 0.896
-. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g12004010.png ; $\alpha \in Z _ { + } ^ { n } , | \alpha | = \alpha _ { 1 } + \ldots + \alpha _ { n }$ ; confidence 0.896
+. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g12004010.png ; $\alpha \in \mathbf{Z} _ { + } ^ { n } , | \alpha | = \alpha _ { 1 } + \ldots + \alpha _ { n }.$ ; confidence 0.896
-. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g13006046.png ; $| x _ { j } | \leq | x _ { i }$ ; confidence 0.896
+. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g13006046.png ; $| x _ { j } | \leq | x _ { i }|$ ; confidence 0.896
-. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130060/h13006045.png ; $( D \alpha D ) ( D \beta D ) = D \alpha D \beta D = D \alpha ( \cup _ { \beta ^ { \prime } } D \beta ^ { \prime } ) =$ ; confidence 0.896
+. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130060/h13006045.png ; $( D \alpha D ) ( D \beta D ) = D \alpha D \beta D = D \alpha ( \bigcup _ { \beta ^ { \prime } } D \beta ^ { \prime } ) =$ ; confidence 0.896
-. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130140/s13014032.png ; $x ^ { T } = x _ { 1 } ^ { \gamma _ { 1 } } x _ { 2 } ^ { \gamma _ { 2 } }$ ; confidence 0.896
+. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130140/s13014032.png ; $x ^ { T } = x _ { 1 } ^ { \gamma _ { 1 } } x _ { 2 } ^ { \gamma _ { 2 } } \dots$ ; confidence 0.896
 . https://www.encyclopediaofmath.org/legacyimages/e/e120/e120240/e120240108.png ; $Y ( N )$ ; confidence 0.896
@@ Line 582: / Line 582: @@
 . https://www.encyclopediaofmath.org/legacyimages/b/b120/b120160/b12016024.png ; $x _ { 3 }$ ; confidence 0.895
-. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120300/c12030026.png ; $( H ^ { \otimes r } , H ^ { \otimes r + k } )$ ; confidence 0.895
+. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120300/c12030026.png ; $( \mathcal{H} ^ { \otimes r } , \mathcal{H} ^ { \otimes r + k } )$ ; confidence 0.895
-. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z13011013.png ; $29,099$ ; confidence 0.895
+. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z13011013.png ; $29,899$ ; confidence 0.895
 . https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m13025060.png ; $\int \rho _ { \varepsilon } ( x ) d x = 1$ ; confidence 0.895
-. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120280/d12028084.png ; $F ( f ) = F _ { \phi } ( f ) = \operatorname { lim } _ { \epsilon \rightarrow 0 } \int _ { \partial D _ { \epsilon } } f ( z ) \overline { \phi ( z ) } d \sigma$ ; confidence 0.895
+. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120280/d12028084.png ; $F ( f ) = F _ { \phi } ( f ) = \operatorname { lim } _ { \epsilon \rightarrow 0 } \int _ { \partial D _ { \epsilon } } f ( z ) \overline { \phi ( z ) } d \sigma,$ ; confidence 0.895
-. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240363.png ; $SS _ { H }$ ; confidence 0.895
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240363.png ; $\text{SS} _ { \mathcal{H} }$ ; confidence 0.895
 . https://www.encyclopediaofmath.org/legacyimages/z/z130/z130080/z13008030.png ; $n = k + l$ ; confidence 0.895
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017092.png ; $( a + i b ) x = x ( c + i d ) \Leftrightarrow ( a - i b ) x = x ( c - i d )$ ; confidence 0.895
+. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017092.png ; $( a + i b ) x = x ( c + i d ) \Leftrightarrow ( a - i b ) x = x ( c - i d ),$ ; confidence 0.895
 . https://www.encyclopediaofmath.org/legacyimages/d/d110/d110080/d11008012.png ; $e = e ( w | v ) = ( w L : v K )$ ; confidence 0.895
 . https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a130180179.png ; $V \subseteq \square ^ { \alpha } U$ ; confidence 0.895