Difference between revisions of "User:Maximilian Janisch/latexlist/latex/NoNroff/34"

Latest revision as of 18:36, 19 May 2020

List

1. ; $\sigma ( \mathcal{D} , \mathcal{X} ) _ { \operatorname{KN} }$ ; confidence 0.895

2. ; $x _ { 3 } ^ { \prime }$ ; confidence 0.895

3. ; $F ^ { 2 }$ ; confidence 0.895

4. ; $p = q$ ; confidence 0.895

5. ; $L _ { + } = L _ { - }$ ; confidence 0.895

6. ; $B$ ; confidence 0.895

7. ; $t_i$ ; confidence 0.895

8. ; $x _ { i } ^ { \prime \prime } = x _ { i } ^ { \prime }$ ; confidence 0.895

9. ; $X \in \Phi$ ; confidence 0.895

10. ; $q ( x ) = - 2 d A _ { - } ( x , x ) / d x$ ; confidence 0.895

11. ; $\phi _ { j } \in H$ ; confidence 0.895

12. ; $w \leq w ^ { \prime }$ ; confidence 0.895

13. ; $g ( \overline { u } _ { 1 } ) > \underline { v }$ ; confidence 0.895

14. ; $\sigma ( T _ { \phi } ) = \sigma _ { \operatorname{e} } ( T _ { \phi } ) \bigcup \{ \lambda \notin \sigma _ { \operatorname{e} } ( T _ { \phi } ) : \text { ind } T _ { \phi - \lambda } \neq 0 \}.$ ; confidence 0.895

15. ; $\Delta ^ { 2 } S _ { n } = \Delta S _ { n + 1 } - \Delta S _ { n } = S _ { n + 2 } - 2 S _ { n + 1 } + S _ { n }$ ; confidence 0.895

16. ; $\epsilon ( t h ) / t \rightarrow 0$ ; confidence 0.895

17. ; $\Gamma = \operatorname { End } _ { \Lambda } T$ ; confidence 0.895

18. ; $\alpha _ { z }$ ; confidence 0.895

19. ; $x _ { 1 } <_{P} x _ { 2 }$ ; confidence 0.895

20. ; $S = [ m + 1 , m + n ] \cup [ 2 m + 1,2 m + n ]$ ; confidence 0.895

21. ; $\varphi \in \mathcal{A} _ { q } ( \mathbf{R} ^ { n } )$ ; confidence 0.895

22. ; $( x , \dot { x } )$ ; confidence 0.895

23. ; $\delta ( P ) = \sum \frac { d ( Q ) ( d ( Q ) - 1 ) } { 2 }$ ; confidence 0.895

24. ; $\operatorname { Ext } _ { A } ^ { 1 } ( T , - )$ ; confidence 0.894

25. ; $\operatorname { deg } _ { B } [ f , \Omega , y ] = \operatorname { deg } _ { B } [ g , \Omega , y ]$ ; confidence 0.894

26. ; $\sigma ^ { 0 } ( m ) / m < \sigma ^ { 0 } ( n ) / n$ ; confidence 0.894

27. ; $L ^ { p } ( \partial \mathbf{D} , d \theta / 2 \pi )$ ; confidence 0.894

28. ; $w \in \mathcal{S} _ { \infty }$ ; confidence 0.894

29. ; $\operatorname { deg } _ { z } P _ { L } ( v , z )$ ; confidence 0.894

30. ; $f \mapsto \pi_f$ ; confidence 0.894

31. ; $S ( t ) = S _ { t }$ ; confidence 0.894

32. ; $\bigotimes _ { j \in J } \mathcal{T} ( u _ { j } ) \leq \mathcal{T} \left( \bigotimes _ { j \in J } u _ { j } \right) .$ ; confidence 0.894

33. ; $\{ G ; . , \preceq \}$ ; confidence 0.894

34. ; $m ( P ) \geq c _ { 2 } ( s )$ ; confidence 0.894

35. ; $N \geq 2$ ; confidence 0.894

36. ; $E _ { G }$ ; confidence 0.894

37. ; $\operatorname { Hom } ( T , \mathbf{Q} _ { p } / \mathbf{Z} _ { p } ( 1 ) )$ ; confidence 0.894

38. ; $Y$ ; confidence 0.894

39. ; $\mathbf{R} \rightarrow [ 0,1 ]$ ; confidence 0.894

40. ; $\varphi \in \operatorname{BMO}$ ; confidence 0.894

41. ; $C [ \mathbf{R} ]$ ; confidence 0.894

42. ; $\overline { E }_{*} ( )$ ; confidence 0.894

43. ; $A \mathcal{H} = \mathcal{H}$ ; confidence 0.894

44. ; $\underline{m}$ ; confidence 0.894

45. ; $\int | x - a | ^ { 2 } | f ( x ) | ^ { 2 } d x$ ; confidence 0.894

46. ; $\phi _ { i } : \operatorname{CH} ^ { i } ( X ) ^ { 0 } \rightarrow J ^ { i } ( X )$ ; confidence 0.894

47. ; $m \geq 1$ ; confidence 0.894

48. ; $\beta ( m + k , \alpha _ { n } , \theta _ { n } ; V )$ ; confidence 0.893

49. ; $D ^ { k }$ ; confidence 0.893

50. ; $| \partial ^ { \alpha } R ( \varphi _ { \varepsilon , x } ) |$ ; confidence 0.893

51. ; $v \in V$ ; confidence 0.893

52. ; $\operatorname { Ext } ( A )$ ; confidence 0.893

53. ; $( W \times P ; M _ { 0 } \times P , M _ { 1 } \times P )$ ; confidence 0.893

54. ; $v : = A ^ { - 1 / 2 } u \in H _ { 0 }$ ; confidence 0.893

55. ; $d_f ( t ) = m ( \{ s > 0 : | f ( s ) | > t \} )$ ; confidence 0.893

56. ; $a + i b$ ; confidence 0.893

57. ; $0 < \lambda _ { 1 } \leq \lambda _ { 2 } \leq \ldots$ ; confidence 0.893

58. ; $= \frac { 1 - ( 1 - \theta ) ^ { n } } { \theta } \text { for } \theta > 0.$ ; confidence 0.893

59. ; $\operatorname { lim } _ { n \rightarrow \infty } m _ { n } ( E ) = m _ { 0 } ( E )$ ; confidence 0.893

60. ; $\delta _ { k } ( n )$ ; confidence 0.893

61. ; $S : = \operatorname { inv } ( N )$ ; confidence 0.893

62. ; $| x | \wedge | y | = e$ ; confidence 0.893

63. ; $D v _ { i } / D t$ ; confidence 0.893

64. ; $f \in \mathbf{Q} ^ { * }$ ; confidence 0.893

65. ; $u \in U$ ; confidence 0.893

66. ; $C ( g ) = 0 \in \otimes ^ { 3 } \mathcal{E}$ ; confidence 0.893

67. ; $X ( M )$ ; confidence 0.893

68. ; $\lambda _ { 1 } = \ldots = \lambda _ { 2 g } = \alpha _ { 1 } = \ldots = \alpha _ { g } = 0$ ; confidence 0.893

69. ; $E ^ { * } ( M ) = \sum _ { p = 0 } ^ { n } E ^ { p } ( M )$ ; confidence 0.893

70. ; $\operatorname{Diff}( S ^ { 1 } ) / S ^ { 1 }$ ; confidence 0.893

71. ; $\tau _ { x } : = \operatorname { inf } \{ s : M _ { s } > x \}.$ ; confidence 0.892

72. ; $KI$ ; confidence 0.892

73. ; $v = u - i \Phi f.$ ; confidence 0.892

74. ; $\operatorname { inf } _ { t > 0 } S ( 2 t ) / S ( t ) > 1$ ; confidence 0.892

75. ; $\sum _ { i = 1 } ^ { k } \mu _ { i } \leq \frac { n } { n + 2 } \frac { 4 \pi ^ { 2 } k ^ { 2 / n } } { ( C _ { n } | \Omega | ) ^ { 2 / n } } , k = 1,2, \dots .$ ; confidence 0.892

76. ; $\gamma ( u ) = k $ ; confidence 0.892

77. ; $V \mapsto \operatorname { Hom } _ { k } ( V , k )$ ; confidence 0.892

78. ; $\operatorname { det } [ E \lambda - A ] = \sum _ { i = 0 } ^ { n } a _ { i } s ^ { i }$ ; confidence 0.892

79. ; $\xi = X _ { a } d x ^ { a }$ ; confidence 0.892

80. ; $p \supset ( q \supset ( p \& q ) )$ ; confidence 0.892

81. ; $\frac { \partial c } { \partial n } = 0 \text{ on the boundary } \partial V \text{ of } V.$ ; confidence 0.892

82. ; $H _ { n } ^ { - 1 } = B ( q , t )$ ; confidence 0.892

83. ; $\alpha _ { H }$ ; confidence 0.892

84. ; $A + T \in \Phi_+ ( X , Y )$ ; confidence 0.892

85. ; $\frac { f ^ { \prime } ( L ) } { f ( L ) } < \frac { g ^ { \prime } ( L ; m , s ) } { g ( L ; m , s ) } , \frac { f ^ { \prime } ( R ) } { f ( R ) } < \frac { g ^ { \prime } ( R ; m , s ) } { g ( R ; m , s ) }.$ ; confidence 0.892

86. ; $L \mapsto \mathcal{E} ( L )$ ; confidence 0.892

87. ; $\langle A \rangle _ { T }$ ; confidence 0.892

88. ; $A q , q B \subseteq R$ ; confidence 0.892

89. ; $\mathfrak{n} ^ { + }$ ; confidence 0.892

90. ; $\operatorname { deg } _ { B } [ F ( ., \lambda ) , U _ { \lambda } , y ]$ ; confidence 0.892

91. ; $Q _ { j } ( z )$ ; confidence 0.892

92. ; $a ( n )$ ; confidence 0.892

93. ; $y = t_2$ ; confidence 0.892

94. ; $d u$ ; confidence 0.892

95. ; $e _ { \mathfrak{q} } ^ { 0 } ( M )$ ; confidence 0.892

96. ; $\operatorname { im } _ { \alpha } f g _ { \alpha } = f$ ; confidence 0.891

97. ; $\varphi d_Z \varphi = \varphi$ ; confidence 0.891

98. ; $L \geq $ ; confidence 0.891

99. ; $B = ( B ^ { \perp } ) ^ { \perp }$ ; confidence 0.891

100. ; $A = \mu _ { 0 } \beta _ { 11 } + \alpha _ { 22 } \operatorname { cos } \theta - \alpha _ { 32 } \operatorname { sin } \theta , B = \alpha _ { 21 } \operatorname { cos } \theta - \alpha _ { 31 } \operatorname { sin } \theta - \mu _ { 0 } \beta _ { 12 },$ ; confidence 0.891

101. ; $H _ { k } ( \mathbf{C} ^ { n } \backslash K ; G ) = 0,1 \leq k \leq n - 1,$ ; confidence 0.891

102. ; $M _ { i j }^a$ ; confidence 0.891

103. ; $( \Delta \xi ^ { \# } | \eta ^ { \# } ) = ( \eta | \xi )$ ; confidence 0.891

104. ; $p _ { 0 } ( \xi ) = 1 + \alpha _ { 1 } \xi + \alpha _ { 2 } \xi ^ { 2 } + \ldots ( \operatorname { Re } p _ { 0 } ( \xi ) > 0 )$ ; confidence 0.891

105. ; $\epsilon = ( p _ { x } ^ { 2 } + p _ { y } ^ { 2 } + p _ { z } ^ { 2 } ) / 2 m$ ; confidence 0.891

106. ; $A \subseteq N _ { k }$ ; confidence 0.891

107. ; $L \subset N$ ; confidence 0.891

108. ; $\beta$ ; confidence 0.891

109. ; $E _ { i } ^ { * } E _ { j } + E _ { j } E _ { i } ^ { * } = \delta _ { i j }$ ; confidence 0.891

110. ; $g : M ^ { \prime } \rightarrow \mathbf{R}$ ; confidence 0.891

111. ; $f \mapsto ( \widehat { f } \circ \varepsilon )$ ; confidence 0.891

112. ; $L ( t , x , D _ { x } )$ ; confidence 0.891

113. ; $\{ f _ { n } \}$ ; confidence 0.891

114. ; $n = k - \lambda$ ; confidence 0.891

115. ; $\tilde{A}$ ; confidence 0.891

116. ; $k \leq n - 1$ ; confidence 0.891

117. ; $3 ^ { 3 } .5 .79$ ; confidence 0.891

118. ; $\int _ { Q } f ( u ) d u = \int _ { \gamma \in \Gamma} \int_{ I ( \gamma ) } f ( \gamma ^ { \prime } ( t ) ) d t d \gamma.$ ; confidence 0.891

119. ; $\operatorname { cn } ( u | k )$ ; confidence 0.891

120. ; $\operatorname { Der } _ { 1 } \Omega ( M )$ ; confidence 0.891

121. ; $d M _ { 3 } = \rho \frac { \Gamma ^ { 2 } } { 2 \pi l }.$ ; confidence 0.890

122. ; $X < Y$ ; confidence 0.890

123. ; $k _ { G } \neq 0$ ; confidence 0.890

124. ; $k = \rho = 0$ ; confidence 0.890

125. ; $h \circ f - h \circ g \in \mathcal{A}$ ; confidence 0.890

126. ; $u \in C ( [ 0 , T ] ; H ^ { 2 } ( \Omega ) ) \cap C ^ { 2 } ( [ 0 , T ] ; L ^ { 2 } ( \Omega ) )$ ; confidence 0.890

127. ; $\text{Ad}( g ) Y = g Y g ^ { - 1 } , ( \text { ad } X ) Y = X Y - Y X,$ ; confidence 0.890

128. ; $D _ { i } ( a ) = n _ { i } a$ ; confidence 0.890

129. ; $C _ { X , Y } ( u , v )$ ; confidence 0.890

130. ; $M ( r _ { 1 } , r _ { 2 } )$ ; confidence 0.890

131. ; $t ( k )$ ; confidence 0.890

132. ; $\| u \| _ { 2 }$ ; confidence 0.890

133. ; $D_{ L}$ ; confidence 0.890

134. ; $\psi = \overline { \mathcal{P} - \phi }$ ; confidence 0.890

135. ; $B = \frac { 1 } { 6 K } \left( \frac { K } { 4 e ( m + 2 K ) } \right) ^ { 2 K } \left| \operatorname { Re } \sum _ { j = 0 } ^ { n } P _ { j } ( 0 ) \right|$ ; confidence 0.890

136. ; $d x _ { i } ^ { n + 1 } = z _ { i } ^ { n } - z _ { i + 1 } ^ { n }.$ ; confidence 0.890

137. ; $I_3$ ; confidence 0.890

138. ; $a _ { i } / a _ { i - 1 }$ ; confidence 0.890

139. ; $N = 2$ ; confidence 0.890

140. ; $\Sigma ^ { ( t + 1 ) } = \frac { \sum _ { i } w _ { i } ^ { ( t + 1 ) } ( y _ { i } - \mu ^ { ( t + 1 ) } ) ( y _ { i } - \mu ^ { ( t + 1 ) } ) ^ { T } } { \sum _ { i } w _ { i } ^ { ( t + 1 ) } }.$ ; confidence 0.890

141. ; $\mathcal{S} ^ { \prime }$ ; confidence 0.890

142. ; $\mathfrak { h } = \operatorname { span } \{ h _ { i } \}$ ; confidence 0.890

143. ; $\mathcal{C} _ { \infty } ( \Gamma \backslash G ( \mathbf{R} ) \otimes M _ { \mathbf{C} } )$ ; confidence 0.890

144. ; $\{ 1 , \theta , \theta ^ { 2 } , \ldots \}$ ; confidence 0.890

145. ; $R \simeq K Q / I$ ; confidence 0.889

146. ; $G = \mathbf{Z} / p$ ; confidence 0.889

147. ; $\text{Ad}( G )$ ; confidence 0.889

148. ; $N _ { f } ( z , \rho ) = \frac { f ( z ) - \overline { f ( \rho ) } } { z - \overline { \rho } }$ ; confidence 0.889

149. ; $\lambda _ { k } = 2 k + n$ ; confidence 0.889

150. ; $\limsup_{k \rightarrow \infty} \sqrt [ a _ { k } ] { k } \leq 1$ ; confidence 0.889

151. ; $i , j \in \omega$ ; confidence 0.889

152. ; $\operatorname { str } ( T ) = \operatorname { tr } P - ( - 1 ) ^ { p ( S ) } \operatorname { tr } S$ ; confidence 0.889

153. ; $p \leq n$ ; confidence 0.889

154. ; $d_{- 1} + d _ { 0 } + d _ { 1 } = 1,$ ; confidence 0.889

155. ; $f _ { 0 } ^ { \prime \prime } ( \bar{c} ) < 0$ ; confidence 0.889

156. ; $\mathcal{P}_{*} ( K )$ ; confidence 0.889

157. ; $\widehat{M}$ ; confidence 0.889

158. ; $\xi = ( v , I )$ ; confidence 0.889

159. ; $\mathcal{L} [ \Lambda _ { n } ( \theta ) | P _ { n , \theta } ] \Rightarrow N \left( - \frac { 1 } { 2 } h ^ { \prime } \Gamma ( \theta ) h , h ^ { \prime } \Gamma ( \theta ) h \right) , \mathcal{L} [ \Lambda _ { n } ( \theta ) | P _ { n , \theta _ { n } } ] \Rightarrow N \left( \frac { 1 } { 2 } h ^ { \prime } \Gamma ( \theta ) h , h ^ { \prime } \Gamma ( \theta ) h \right),$ ; confidence 0.889

160. ; $\operatorname{BS} ( 12,18 )$ ; confidence 0.889

161. ; $i$ ; confidence 0.889

162. ; $T Y$ ; confidence 0.889

163. ; $T _ { 1 } < \ldots < T _ { n }$ ; confidence 0.889

164. ; $x \geq a$ ; confidence 0.889

165. ; $\mathcal{H} ^ { m } \left( E \backslash \bigcup _ { i = 1 } ^ { \infty } f _ { i } ( \mathbf{R} ^ { m } ) \right) = 0.$ ; confidence 0.889

166. ; $\mathcal{S} \Rightarrow q$ ; confidence 0.889

167. ; $[ x , x ] < 0$ ; confidence 0.889

168. ; $\operatorname{Hol}( \Delta , \Omega )$ ; confidence 0.889

169. ; $\frac { \partial \overset{\rightharpoonup} { v } } { \partial t } + (\overset{\rightharpoonup}{ v } \nabla ) \overset{\rightharpoonup}{ v } = - \frac { 1 } { \rho } \nabla P - \frac { 1 } { 4 \pi \rho } [\overset{\rightharpoonup}{ B } \times \operatorname { rot } \overset{\rightharpoonup}{ B } ] , \frac { \partial s } { \partial t } + \overset{\rightharpoonup}{ v } \nabla s = 0,$ ; confidence 0.889

170. ; $h ( w ) : = g ( w ) / w$ ; confidence 0.889

171. ; $\alpha \equiv \Pi ( a )$ ; confidence 0.889

172. ; $x ^ { \sigma } = q ^ { - 1 } x q$ ; confidence 0.889

173. ; $( x ^ { \prime } , y ^ { \prime } ) \in \mathcal{J}$ ; confidence 0.889

174. ; $\operatorname{Hol}( \Delta , \Delta )$ ; confidence 0.889

175. ; $\| . \| _ { \infty }$ ; confidence 0.889

176. ; $p ( e )$ ; confidence 0.889

177. ; $\overline { D ^ { + } }$ ; confidence 0.889

178. ; $k = n q$ ; confidence 0.888

179. ; $X f$ ; confidence 0.888

180. ; $\operatorname{TD} _ { \mu } [ r , s ]$ ; confidence 0.888

181. ; $A _ { 2 } x \leq b _ { 2 }$ ; confidence 0.888

182. ; $\operatorname{Map}( X , Y ) _ { f }$ ; confidence 0.888

183. ; $x , z \in H$ ; confidence 0.888

184. ; $f \in A _ { 0 } ( \overline { \mathbf{C} } ^ { n } \backslash D )$ ; confidence 0.888

185. ; $| F ( u ) | \leq C _ { 1 } \rho ^ { 2 - N / p } | u | _ { p , 2 , T }$ ; confidence 0.888

186. ; $E _ { i } : \Lambda \rightarrow \Lambda$ ; confidence 0.888

187. ; $U _ { 1 } \supset V _ { 1 } \supset U _ { 2 } \supset V _ { 2 } \supset \ldots$ ; confidence 0.888

188. ; $\mu _ { k } \rightarrow \infty$ ; confidence 0.888

189. ; $\mu = ( 3 + i \sqrt { 3 } ) / 6$ ; confidence 0.888

190. ; $n \geq M$ ; confidence 0.888

191. ; $p _ { k } ( x )$ ; confidence 0.888

192. ; $\sigma _ { \text{p} } = \sigma _ { \text{l} } = \sigma _ { \pi } = \sigma _ { \delta } = \sigma _ { \text{r} } = \sigma _ { \text{T} } = \sigma ^ { \prime } = \sigma ^ { \prime \prime } = \widehat { \sigma },$ ; confidence 0.888

193. ; $u _ { f } \equiv \int f ( \xi ) d \xi - k \in \mathcal{U}$ ; confidence 0.888

194. ; $D \in \mathcal{D}$ ; confidence 0.888

195. ; $\mathfrak { V } = ( A _ { 1 } , A _ { 2 } , \mathcal{H} , \Phi , \mathcal{E} , \sigma _ { 1 } , \sigma _ { 2 } , \gamma , \widetilde { \gamma } )$ ; confidence 0.888

196. ; $x _ { i } \in \{ 0,1 \}$ ; confidence 0.888

197. ; $\lambda \in S _ { \theta _ { 0 } } , \quad t , s \in [ 0 , T ].$ ; confidence 0.888

198. ; $\operatorname{BM} ( X )$ ; confidence 0.888

199. ; $\operatorname { Lip } ( 1 / 2 )$ ; confidence 0.888

200. ; $L = N . 2 \pi$ ; confidence 0.888

201. ; $\{ a , b \} = 1$ ; confidence 0.888

202. ; $b c = c b , d a - a d = ( q - q ^ { - 1 } ) b c,$ ; confidence 0.888

203. ; $T _ { S } \sim t _ { s }$ ; confidence 0.887

204. ; $x _ { + } = x _ { c } - F ^ { \prime } ( x _ { 0 } ) ^ { - 1 } F ( x _ { c } ).$ ; confidence 0.887

205. ; $\operatorname { cr } ( D _ { L } )$ ; confidence 0.887

206. ; $\sim_i$ ; confidence 0.887

207. ; $A \oplus B$ ; confidence 0.887

208. ; $H _ { t } = h ( B _ { \operatorname { min } ( t , \tau )} )$ ; confidence 0.887

209. ; $u _ { i } = \left( \beta _ { i } \quad 1 \right) $ ; confidence 0.887

210. ; $\gamma \in \Delta _ { + }$ ; confidence 0.887

211. ; $b ( t ) = \int _ { 0 } ^ { + \infty } \beta ( a ) p ( a , t ) d a$ ; confidence 0.887

212. ; $\int _ { \sigma ( \Gamma ) } f ( z ) d z = 0.$ ; confidence 0.887

213. ; $\gamma \rho ( x ) ^ { 2 / 3 } = [ \Phi ( x ) - \mu ]_+ ,$ ; confidence 0.887

214. ; $x \in \Omega$ ; confidence 0.887

215. ; $A ^ { * } \sigma A = \sigma.$ ; confidence 0.887

216. ; $\Omega \subset \mathbf{R} ^ { m }$ ; confidence 0.887

217. ; $\mu = \mu _ { ac } + \mu _ { s } ,$ ; confidence 0.887

218. ; $\mathcal{C} ^ { \infty } ( \Omega ) / \mathcal{I} _ { S }$ ; confidence 0.887

219. ; $4 / ( 3 N / 2 )$ ; confidence 0.887

220. ; $\Sigma ( \Gamma )$ ; confidence 0.887

221. ; $b ( S l , v ) = \langle l , v \rangle$ ; confidence 0.887

222. ; $f ( \lambda ( X X ^ { \prime } ) )$ ; confidence 0.887

223. ; $8 _ { 18 }$ ; confidence 0.887

224. ; $\mathcal{D} = \mathcal{D} _ { j , k } ( a )$ ; confidence 0.887

225. ; $v _ { j } : = ( v , \varphi _ { j } ) _ { 0 }$ ; confidence 0.887

226. ; $y , \mu \in \mathbf{R} ^ { p }$ ; confidence 0.887

227. ; $X ^ { n } = X \times \ldots \times X$ ; confidence 0.887

228. ; $v = 1$ ; confidence 0.886

229. ; $\dot { x } = A ( t ) x$ ; confidence 0.886

230. ; $s \mapsto \widetilde{\pi} ( s )$ ; confidence 0.886

231. ; $a ^ { n } b ^ { n }$ ; confidence 0.886

232. ; $\Gamma u = 0 \text { on } S,$ ; confidence 0.886

233. ; $C = 0$ ; confidence 0.886

234. ; $G = \mathbf{Z} _ { 2 } \times \mathbf{Z} _ { 2 } \times \mathbf{Z} _ { 2 }$ ; confidence 0.886

235. ; $\hat { \mathfrak { g } } ( A )$ ; confidence 0.886

236. ; $( Z , d_\text{Z} )$ ; confidence 0.886

237. ; $w _ { 1 } = \sigma _ { \gamma } w _ { 2 }$ ; confidence 0.886

238. ; $( X )$ ; confidence 0.886

239. ; $\tau _ { - i } = 0$ ; confidence 0.886

240. ; $| 0 \rangle$ ; confidence 0.886

241. ; $x = y$ ; confidence 0.886

242. ; $H _ { p } ^ { r - 1 / p } ( \partial \Omega )$ ; confidence 0.886

243. ; $\sum _ { j } h _ { ij } > 0$ ; confidence 0.886

244. ; $\operatorname{BS} ( m , n )$ ; confidence 0.886

245. ; $\mathcal{M} _ { 2 } ( \mathbf{R} ^ { n } ) = \{$ ; confidence 0.886

246. ; $\pi _ { 1 } ( M ) \neq \mathbf{Z} _ { 2 }$ ; confidence 0.886

247. ; $r = p$ ; confidence 0.886

248. ; $W \wedge X$ ; confidence 0.886

249. ; $R ( L ) = H _ { K }$ ; confidence 0.886

250. ; $H ^ { * } ( A _ { \text{dR} } ( X ) )$ ; confidence 0.886

251. ; $Q ( \partial / \partial x ) ( f ) \equiv 0$ ; confidence 0.886

252. ; $I _ { A } = 0$ ; confidence 0.886

253. ; $\int _ { - \infty } ^ { \infty } | t | | \hat{s} ( t ) | ^ { 2 } d t < \infty.$ ; confidence 0.886

254. ; $e ^ { \lambda t }$ ; confidence 0.886

255. ; $P ( G )$ ; confidence 0.886

256. ; $C ( S ) \otimes \pi _ { 0 } ( T ) + \pi _ { 0 } ( S ) \otimes C ( T )$ ; confidence 0.886

257. ; $M = \sum _ { i = 1 } ^ { N } S _ { i }$ ; confidence 0.886

258. ; $x = u + a / u$ ; confidence 0.886

259. ; $q = 2$ ; confidence 0.885

260. ; $\operatorname { deg } F _ { 1 }$ ; confidence 0.885

261. ; $[ e _ { i } e _ { j } ] = [ f _ { i } f _ { j } ] = 0$ ; confidence 0.885

262. ; $\lambda = \mathsf{E} ( X ),$ ; confidence 0.885

263. ; $A _ { \mathfrak{p} }$ ; confidence 0.885

264. ; $\lambda _ { k } \geq \frac { 4 \pi ^ { 2 } k ^ { 2 / n } } { ( C _ { n } | \Omega | ) ^ { 2 / n } } \text { for } k = 1,2, \dots . $ ; confidence 0.885

265. ; $( s , k , B _ { m } )$ ; confidence 0.885

266. ; $E \alpha + A \beta = I _ { n }$ ; confidence 0.885

267. ; $N > N_0$ ; confidence 0.885

268. ; $1 \neq h \in H$ ; confidence 0.885

269. ; $\mathcal{S}$ ; confidence 0.885

270. ; $a ( t )$ ; confidence 0.885

271. ; $\mathcal{B} \circ \Pi$ ; confidence 0.885

272. ; $u ( 0 ) = u _ { 0 },$ ; confidence 0.885

273. ; $\chi ( x , \xi ) = ( x + x _ { 0 } , \xi + \xi _ { 0 } )$ ; confidence 0.885

274. ; $\min_{ z _ { j }} | z _ { j } | = 1$ ; confidence 0.885

275. ; $\gamma _ { i j }$ ; confidence 0.884

276. ; $| f | = | f |_{ -} + | f |_{+}$ ; confidence 0.884

277. ; $F ^ { n + 1 } \subset M$ ; confidence 0.884

278. ; $D = \rho \frac { \Gamma b } { l } ( V - 2 U ) + \rho \frac { \Gamma ^ { 2 } } { 2 \pi l } \approx$ ; confidence 0.884

279. ; $\operatorname { dn } ( u | k )$ ; confidence 0.884

280. ; $w \rightarrow \infty$ ; confidence 0.884

281. ; $[A,f ] [ B , g ] = [ B A , f g ].$ ; confidence 0.884

282. ; $s _ { i + j - 1} = ( i + j - 1 ) ^ { - 1 }$ ; confidence 0.884

283. ; $[ L : K ] = d . e . f$ ; confidence 0.884

284. ; $G ( S )$ ; confidence 0.884

285. ; $\Lambda \equiv \Lambda [ e ] \equiv \Lambda _ { n } [ e ]$ ; confidence 0.884

286. ; $\Gamma = \mathbf{B} \mathbf{X}_4$ ; confidence 0.884

287. ; $ \operatorname{MS} _ { e }$ ; confidence 0.884

288. ; $\mathcal{T} ( M )$ ; confidence 0.884

289. ; $ \operatorname{QH} ^ { * } ( M )$ ; confidence 0.884

290. ; $A : E \times \ldots \times E \rightarrow \mathbf{C}$ ; confidence 0.884

291. ; $v , p , x$ ; confidence 0.884

292. ; $\int _ { - \infty } ^ { \infty } x ^ { k } \psi _ { N } ( x ) d x = 0,0 \leq k \leq N.$ ; confidence 0.884

293. ; $A _ { 1 } \in C ^ { m \times m }$ ; confidence 0.884

294. ; $\langle G , B \rangle = G \times B$ ; confidence 0.884

295. ; $V _ { m }$ ; confidence 0.883

296. ; $\mathcal{M}_ { 1 } ( \mathbf{R} ^ { n } ) = \{$ ; confidence 0.883

297. ; $k _ { t } ( x , y ) = \operatorname { str } ( e ^ { - t D ^ { 2 } } ) = \operatorname { tr } ( e ^ { - t D _ { + } ^ { * } D _ { + } } ) - \operatorname { tr } ( e ^ { - t D _ { + } D _ { + } ^ { * } } )$ ; confidence 0.883

298. ; $S f \in \mathcal{M}$ ; confidence 0.883

299. ; $g : \overline { U } \rightarrow V$ ; confidence 0.883

300. ; $O _ { K } [G]$ ; confidence 0.883

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/NoNroff/34. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/NoNroff/34&oldid=45512

Navigation

Tools

Namespaces

Variants

Views

Actions

Difference between revisions of "User:Maximilian Janisch/latexlist/latex/NoNroff/34"

Latest revision as of 18:36, 19 May 2020

List

@@ Line 26: / Line 26: @@
 . https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020193.png ; $g ( \overline { u } _ { 1 } ) > \underline { v }$ ; confidence 0.895
-. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120140/t12014049.png ; $\sigma ( T _ { \phi } ) = \sigma _ { e } ( T _ { \phi } ) \cup \{ \lambda \notin \sigma _ { e } ( T _ { \phi } ) : \text { ind } T _ { \phi - \lambda } \neq 0 \}.$ ; confidence 0.895
+. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120140/t12014049.png ; $\sigma ( T _ { \phi } ) = \sigma _ { \operatorname{e} } ( T _ { \phi } ) \bigcup \{ \lambda \notin \sigma _ { \operatorname{e} } ( T _ { \phi } ) : \text { ind } T _ { \phi - \lambda } \neq 0 \}.$ ; confidence 0.895
 . https://www.encyclopediaofmath.org/legacyimages/a/a120/a120180/a12018010.png ; $\Delta ^ { 2 } S _ { n } = \Delta S _ { n + 1 } - \Delta S _ { n } = S _ { n + 2 } - 2 S _ { n + 1 } + S _ { n }$ ; confidence 0.895
@@ Line 36: / Line 36: @@
 . https://www.encyclopediaofmath.org/legacyimages/d/d130/d130110/d13011012.png ; $\alpha _ { z }$ ; confidence 0.895
-. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120060/i12006030.png ; $x _ { 1 } < p x _ { 2 }$ ; confidence 0.895
+. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120060/i12006030.png ; $x _ { 1 } <_{P} x _ { 2 }$ ; confidence 0.895
 . https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200157.png ; $S = [ m + 1 , m + n ] \cup [ 2 m + 1,2 m + n ]$ ; confidence 0.895
@@ Line 62: / Line 62: @@
 . https://www.encyclopediaofmath.org/legacyimages/b/b130/b130170/b13017032.png ; $S ( t ) = S _ { t }$ ; confidence 0.894
-. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f13029054.png ; $\bigotimes _ { j \in J } \mathcal{T} ( u _ { j } ) \leq \mathcal{T} ( \bigotimes _ { j \in J } u _ { j } ).$ ; confidence 0.894
+. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f13029054.png ; $\bigotimes _ { j \in J } \mathcal{T} ( u _ { j } ) \leq \mathcal{T} \left( \bigotimes _ { j \in J } u _ { j } \right) .$ ; confidence 0.894
-. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110400/c1104003.png ; $\{ G ; , \preceq \}$ ; confidence 0.894
+. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110400/c1104003.png ; $\{ G ; . , \preceq \}$ ; confidence 0.894
 . https://www.encyclopediaofmath.org/legacyimages/m/m120/m120070/m12007069.png ; $m ( P ) \geq c _ { 2 } ( s )$ ; confidence 0.894
@@ Line 82: / Line 82: @@
 . https://www.encyclopediaofmath.org/legacyimages/l/l110/l110020/l11002028.png ; $C [ \mathbf{R} ]$ ; confidence 0.894
-. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120240/s12024035.png ; $\overline { E }* \times ( )$ ; confidence 0.894
+. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120240/s12024035.png ; $\overline { E }_{*}  ( )$ ; confidence 0.894
 . https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m13026024.png ; $A \mathcal{H} = \mathcal{H}$ ; confidence 0.894
@@ Line 104: / Line 104: @@
 . https://www.encyclopediaofmath.org/legacyimages/b/b130/b130270/b13027062.png ; $\operatorname { Ext } ( A )$ ; confidence 0.893
-. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046010/h046010134.png ; $( W \times P , M _ { 0 } \times P , M _ { 1 } \times P )$ ; confidence 0.893
+. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046010/h046010134.png ; $( W \times P ; M _ { 0 } \times P , M _ { 1 } \times P )$ ; confidence 0.893
 . https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r130080117.png ; $v : = A ^ { - 1 / 2 } u \in H _ { 0 }$ ; confidence 0.893
-. https://www.encyclopediaofmath.org/legacyimages/o/o120/o120050/o12005017.png ; $d_yf ( t ) = m ( \{ s > 0 : | f ( s ) | > t \} )$ ; confidence 0.893
+. https://www.encyclopediaofmath.org/legacyimages/o/o120/o120050/o12005017.png ; $d_f ( t ) = m ( \{ s > 0 : | f ( s ) | > t \} )$ ; confidence 0.893
 . https://www.encyclopediaofmath.org/legacyimages/b/b130/b130180/b13018013.png ; $a + i b$ ; confidence 0.893
@@ Line 126: / Line 126: @@
 . https://www.encyclopediaofmath.org/legacyimages/m/m130/m130110/m13011090.png ; $D v _ { i } / D t$ ; confidence 0.893
-. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120240/a1202405.png ; $f \in Q ^ { * }$ ; confidence 0.893
+. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120240/a1202405.png ; $f \in \mathbf{Q} ^ { * }$ ; confidence 0.893
 . https://www.encyclopediaofmath.org/legacyimages/a/a012/a012120/a01212064.png ; $u \in U$ ; confidence 0.893
@@ Line 140: / Line 140: @@
 . https://www.encyclopediaofmath.org/legacyimages/l/l120/l120160/l12016037.png ; $\operatorname{Diff}( S ^ { 1 } ) / S ^ { 1 }$ ; confidence 0.893
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120500/b12050038.png ; $\tau _ { X } : = \operatorname { inf } \{ s : M _ { S } > x \}.$ ; confidence 0.892
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120500/b12050038.png ; $\tau _ { x } : = \operatorname { inf } \{ s : M _ { s } > x \}.$ ; confidence 0.892
 . https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t130140149.png ; $KI$ ; confidence 0.892
@@ Line 148: / Line 148: @@
 . https://www.encyclopediaofmath.org/legacyimages/o/o120/o120050/o12005031.png ; $\operatorname { inf } _ { t > 0 } S ( 2 t ) / S ( t ) > 1$ ; confidence 0.892
-. https://www.encyclopediaofmath.org/legacyimages/n/n130/n130060/n13006048.png ; $\sum _ { i = 1 } ^ { k } \mu _ { i } \leq \frac { n } { n + 2 } \frac { 4 \pi ^ { 2 } k ^ { 2 / n } } { ( C _ { n } | \Omega | ) ^ { 2 / n } } , k = 1,2, \dots$ ; confidence 0.892
+. https://www.encyclopediaofmath.org/legacyimages/n/n130/n130060/n13006048.png ; $\sum _ { i = 1 } ^ { k } \mu _ { i } \leq \frac { n } { n + 2 } \frac { 4 \pi ^ { 2 } k ^ { 2 / n } } { ( C _ { n } | \Omega | ) ^ { 2 / n } } , k = 1,2, \dots .$ ; confidence 0.892
 . https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510110.png ; $\gamma ( u ) =  k $ ; confidence 0.892
@@ Line 156: / Line 156: @@
 . https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c12008060.png ; $\operatorname { det } [ E \lambda - A ] = \sum _ { i = 0 } ^ { n } a _ { i } s ^ { i }$ ; confidence 0.892
-. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120160/e1201606.png ; $\xi = X _ { \alpha } d x ^ { \alpha }$ ; confidence 0.892
+. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120160/e1201606.png ; $\xi = X _ { a } d x ^ { a }$ ; confidence 0.892
 . https://www.encyclopediaofmath.org/legacyimages/p/p075/p075480/p0754805.png ; $p \supset ( q \supset ( p \& q ) )$ ; confidence 0.892
@@ Line 202: / Line 202: @@
 . https://www.encyclopediaofmath.org/legacyimages/p/p130/p130100/p13010060.png ; $H _ { k } ( \mathbf{C} ^ { n } \backslash K ; G ) = 0,1 \leq k \leq n - 1,$ ; confidence 0.891
-. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130010/m13001042.png ; $M _ { i j }^\alpha$ ; confidence 0.891
+. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130010/m13001042.png ; $M _ { i j }^a$ ; confidence 0.891
 . https://www.encyclopediaofmath.org/legacyimages/t/t120/t120150/t12015067.png ; $( \Delta \xi ^ { \# } | \eta ^ { \# } ) = ( \eta | \xi )$ ; confidence 0.891
@@ Line 208: / Line 208: @@
 . https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009039.png ; $p _ { 0 } ( \xi ) = 1 + \alpha _ { 1 } \xi + \alpha _ { 2 } \xi ^ { 2 } + \ldots ( \operatorname { Re } p _ { 0 } ( \xi ) > 0 )$ ; confidence 0.891
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120360/b12036015.png ; $\epsilon = ( p _ { X } ^ { 2 } + p _ { y } ^ { 2 } + p _ { z } ^ { 2 } ) / 2 m$ ; confidence 0.891
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120360/b12036015.png ; $\epsilon = ( p _ { x } ^ { 2 } + p _ { y } ^ { 2 } + p _ { z } ^ { 2 } ) / 2 m$ ; confidence 0.891
 . https://www.encyclopediaofmath.org/legacyimages/s/s130/s130490/s13049040.png ; $A \subseteq N _ { k }$ ; confidence 0.891
@@ Line 220: / Line 220: @@
 . https://www.encyclopediaofmath.org/legacyimages/w/w120/w120060/w12006016.png ; $g : M ^ { \prime } \rightarrow \mathbf{R}$ ; confidence 0.891
-. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f130100116.png ; $f \mapsto ( \hat { f } \circ \varepsilon )$ ; confidence 0.891
+. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f130100116.png ; $f \mapsto ( \widehat { f } \circ \varepsilon )$ ; confidence 0.891
 . https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a120070106.png ; $L ( t , x , D _ { x } )$ ; confidence 0.891
@@ Line 234: / Line 234: @@
 . https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007019.png ; $3 ^ { 3 } .5 .79$ ; confidence 0.891
-. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130020/s13002033.png ; $\int _ { Q } f ( u ) d u = \int _ { \gamma \in \Gamma l ( \gamma ) } f ( \gamma ^ { \prime } ( t ) ) d t d \gamma.$ ; confidence 0.891
+. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130020/s13002033.png ; $\int _ { Q } f ( u ) d u = \int _ { \gamma \in \Gamma} \int_{ I ( \gamma ) } f ( \gamma ^ { \prime } ( t ) ) d t d \gamma.$ ; confidence 0.891
 . https://www.encyclopediaofmath.org/legacyimages/a/a130/a130280/a13028012.png ; $\operatorname { cn } ( u | k )$ ; confidence 0.891
@@ Line 254: / Line 254: @@
 . https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015040.png ; $\text{Ad}( g ) Y = g Y g ^ { - 1 } , ( \text { ad } X ) Y = X Y - Y X,$ ; confidence 0.890
-. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200110.png ; $D _ { i } ( \alpha ) = n _ { i } a$ ; confidence 0.890
+. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200110.png ; $D _ { i } ( a ) = n _ { i } a$ ; confidence 0.890
 . https://www.encyclopediaofmath.org/legacyimages/s/s130/s130450/s13045070.png ; $C _ { X , Y } ( u , v )$ ; confidence 0.890
@@ Line 268: / Line 268: @@
 . https://www.encyclopediaofmath.org/legacyimages/h/h120/h120020/h120020100.png ; $\psi = \overline { \mathcal{P} - \phi }$ ; confidence 0.890
-. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200181.png ; $B = \frac { 1 } { 6 K } ( \frac { K } { 4 e ( m + 2 K ) } ) ^ { 2 K } | \operatorname { Re } \sum _ { j = 0 } ^ { n } P _ { j } ( 0 ) |$ ; confidence 0.890
+. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200181.png ; $B = \frac { 1 } { 6 K } \left( \frac { K } { 4 e ( m + 2 K ) } \right) ^ { 2 K } \left| \operatorname { Re } \sum _ { j = 0 } ^ { n } P _ { j } ( 0 ) \right|$ ; confidence 0.890
 . https://www.encyclopediaofmath.org/legacyimages/s/s120/s120240/s12024055.png ; $d x _ { i } ^ { n + 1 } = z _ { i } ^ { n } - z _ { i + 1 } ^ { n }.$ ; confidence 0.890
@@ Line 284: / Line 284: @@
 . https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020075.png ; $\mathfrak { h } = \operatorname { span } \{ h _ { i } \}$ ; confidence 0.890
-. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e13003030.png ; $C _ { \infty } ( \Gamma \backslash G ( \mathbf{R} ) \otimes M _ { C } )$ ; confidence 0.890
+. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e13003030.png ; $\mathcal{C} _ { \infty } ( \Gamma \backslash G ( \mathbf{R} ) \otimes M _ { \mathbf{C} } )$ ; confidence 0.890
 . https://www.encyclopediaofmath.org/legacyimages/p/p120/p120130/p12013030.png ; $\{ 1 , \theta , \theta ^ { 2 } , \ldots \}$ ; confidence 0.890
@@ Line 298: / Line 298: @@
 . https://www.encyclopediaofmath.org/legacyimages/b/b120/b120310/b12031097.png ; $\lambda _ { k } = 2 k + n$ ; confidence 0.889
-. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120230/a12023080.png ; $\limsup_{k \rightarrow \infty} \sqrt [ \alpha _ { k } ] { k } \leq 1$ ; confidence 0.889
+. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120230/a12023080.png ; $\limsup_{k \rightarrow \infty} \sqrt [ a _ { k } ] { k } \leq 1$ ; confidence 0.889
 . https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a130180167.png ; $i , j \in \omega$ ; confidence 0.889
@@ Line 306: / Line 306: @@
 . https://www.encyclopediaofmath.org/legacyimages/h/h046/h046360/h04636010.png ; $p \leq n$ ; confidence 0.889
-. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120040/l12004052.png ; $d_{- 1} + d _ { 0 } + d _ { 1 } = 1$ ; confidence 0.889
+. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120040/l12004052.png ; $d_{- 1} + d _ { 0 } + d _ { 1 } = 1,$ ; confidence 0.889
 . https://www.encyclopediaofmath.org/legacyimages/c/c130/c130010/c13001029.png ; $f _ { 0 } ^ { \prime \prime } ( \bar{c} ) < 0$ ; confidence 0.889
-. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f12011096.png ; $\mathcal{P} * ( K )$ ; confidence 0.889
+. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f12011096.png ; $\mathcal{P}_{*} ( K )$ ; confidence 0.889
-. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090388.png ; $\hat{M}$ ; confidence 0.889
+. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090388.png ; $\widehat{M}$ ; confidence 0.889
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b12022089.png ; $\xi = ( v , l )$ ; confidence 0.889
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b12022089.png ; $\xi = ( v , I )$ ; confidence 0.889
-. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c120210122.png ; $L [ \Lambda _ { n } ( \theta ) | P _ { n , \theta } ] \Rightarrow N ( - \frac { 1 } { 2 } h ^ { \prime } \Gamma ( \theta ) h , h ^ { \prime } \Gamma ( \theta ) h ) , L [ \Lambda _ { n } ( \theta ) | P _ { n , \theta _ { n } } ] \Rightarrow N ( \frac { 1 } { 2 } h ^ { \prime } \Gamma ( \theta ) h , h ^ { \prime } \Gamma ( \theta ) h ),$ ; confidence 0.889
+. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c120210122.png ; $\mathcal{L} [ \Lambda _ { n } ( \theta ) | P _ { n , \theta } ] \Rightarrow N \left( - \frac { 1 } { 2 } h ^ { \prime } \Gamma ( \theta ) h , h ^ { \prime } \Gamma ( \theta ) h \right) , \mathcal{L} [ \Lambda _ { n } ( \theta ) | P _ { n , \theta _ { n } } ] \Rightarrow N \left( \frac { 1 } { 2 } h ^ { \prime } \Gamma ( \theta ) h , h ^ { \prime } \Gamma ( \theta ) h \right),$ ; confidence 0.889
 . https://www.encyclopediaofmath.org/legacyimages/b/b130/b130070/b13007023.png ; $\operatorname{BS} ( 12,18 )$ ; confidence 0.889
@@ Line 326: / Line 326: @@
 . https://www.encyclopediaofmath.org/legacyimages/c/c130/c130250/c13025015.png ; $T _ { 1 } < \ldots < T _ { n }$ ; confidence 0.889
-. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130060/i130060154.png ; $x > a$ ; confidence 0.889
+. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130060/i130060154.png ; $x \geq a$ ; confidence 0.889
-. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130040/g1300408.png ; $\mathcal{H} ^ { m } ( E \backslash \cup _ { i = 1 } ^ { \infty } f _ { i } ( \mathbf{R} ^ { m } ) ) = 0.$ ; confidence 0.889
+. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130040/g1300408.png ; $\mathcal{H} ^ { m } \left( E \backslash \bigcup _ { i = 1 } ^ { \infty } f _ { i } ( \mathbf{R} ^ { m } ) \right) = 0.$ ; confidence 0.889
 . https://www.encyclopediaofmath.org/legacyimages/i/i130/i130060/i13006041.png ; $\mathcal{S} \Rightarrow q$ ; confidence 0.889
@@ Line 336: / Line 336: @@
 . https://www.encyclopediaofmath.org/legacyimages/j/j130/j130070/j1300703.png ; $\operatorname{Hol}( \Delta , \Omega )$ ; confidence 0.889
-. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120060/m1200604.png ; $\frac { \partial \vec { v } } { \partial t } + ( \vec { v } \nabla ) \vec { v } = - \frac { 1 } { \rho } \nabla P - \frac { 1 } { 4 \pi \rho } [ \vec { B } \times \operatorname { rot } \vec { B } ] , \frac { \partial s } { \partial t } + \vec { v } \nabla s = 0,$ ; confidence 0.889
+. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120060/m1200604.png ; $\frac { \partial \overset{\rightharpoonup} { v } } { \partial t } + (\overset{\rightharpoonup}{ v } \nabla ) \overset{\rightharpoonup}{ v } = - \frac { 1 } { \rho } \nabla P - \frac { 1 } { 4 \pi \rho } [\overset{\rightharpoonup}{ B } \times \operatorname { rot } \overset{\rightharpoonup}{ B } ] , \frac { \partial s } { \partial t } + \overset{\rightharpoonup}{ v } \nabla s = 0,$ ; confidence 0.889
 . https://www.encyclopediaofmath.org/legacyimages/t/t130/t130070/t13007046.png ; $h ( w ) : = g ( w ) / w$ ; confidence 0.889
-. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060030/l06003030.png ; $\alpha \equiv \Pi ( \alpha )$ ; confidence 0.889
+. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060030/l06003030.png ; $\alpha \equiv \Pi ( a )$ ; confidence 0.889
 . https://www.encyclopediaofmath.org/legacyimages/x/x120/x120010/x12001028.png ; $x ^ { \sigma } = q ^ { - 1 } x q$ ; confidence 0.889
@@ Line 358: / Line 358: @@
 . https://www.encyclopediaofmath.org/legacyimages/d/d032/d032130/d03213020.png ; $X f$ ; confidence 0.888
-. https://www.encyclopediaofmath.org/legacyimages/n/n130/n130050/n13005015.png ; $TD _ { \mu } [ r , s ]$ ; confidence 0.888
+. https://www.encyclopediaofmath.org/legacyimages/n/n130/n130050/n13005015.png ; $\operatorname{TD} _ { \mu } [ r , s ]$ ; confidence 0.888
 . https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d1200203.png ; $A _ { 2 } x \leq b _ { 2 }$ ; confidence 0.888
@@ Line 382: / Line 382: @@
 . https://www.encyclopediaofmath.org/legacyimages/d/d030/d030250/d03025019.png ; $p _ { k } ( x )$ ; confidence 0.888
-. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t130050101.png ; $\sigma _ { \mathfrak{p} } = \sigma _ { 1 } = \sigma _ { \pi } = \sigma _ { \delta } = \sigma _ { r } = \sigma _ { T } = \sigma ^ { \prime } = \sigma ^ { \prime \prime } = \hat { \sigma },$ ; confidence 0.888
+. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t130050101.png ; $\sigma _ { \text{p} } = \sigma _ { \text{l} } = \sigma _ { \pi } = \sigma _ { \delta } = \sigma _ {  \text{r} } = \sigma _ {  \text{T} } = \sigma ^ { \prime } = \sigma ^ { \prime \prime } = \widehat { \sigma },$ ; confidence 0.888
 . https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b12022069.png ; $u _ { f } \equiv \int f ( \xi ) d \xi - k \in \mathcal{U}$ ; confidence 0.888
@@ Line 388: / Line 388: @@
 . https://www.encyclopediaofmath.org/legacyimages/t/t130/t130040/t13004046.png ; $D \in \mathcal{D}$ ; confidence 0.888
-. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o13006050.png ; $\mathfrak { V } = ( A _ { 1 } , A _ { 2 } , H , \Phi , \mathcal{E} , \sigma _ { 1 } , \sigma _ { 2 } , \gamma , \tilde { \gamma } )$ ; confidence 0.888
+. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o13006050.png ; $\mathfrak { V } = ( A _ { 1 } , A _ { 2 } , \mathcal{H} , \Phi , \mathcal{E} , \sigma _ { 1 } , \sigma _ { 2 } , \gamma , \widetilde { \gamma } )$ ; confidence 0.888
 . https://www.encyclopediaofmath.org/legacyimages/k/k130/k130040/k13004010.png ; $x _ { i } \in \{ 0,1 \}$ ; confidence 0.888
@@ Line 402: / Line 402: @@
 . https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054047.png ; $\{ a , b \} = 1$ ; confidence 0.888
-. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120070/q120070114.png ; $b c = c b , d \alpha - a d = ( q - q ^ { - 1 } ) b c$ ; confidence 0.888
+. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120070/q120070114.png ; $b c = c b , d a - a d = ( q - q ^ { - 1 } ) b c,$ ; confidence 0.888
-. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080205.png ; $T _ { S } \sim t _ { S }$ ; confidence 0.887
+. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080205.png ; $T _ { S } \sim t _ { s }$ ; confidence 0.887
 . https://www.encyclopediaofmath.org/legacyimages/b/b120/b120520/b12052023.png ; $x _ { + } = x _ { c } - F ^ { \prime } ( x _ { 0 } ) ^ { - 1 } F ( x _ { c } ).$ ; confidence 0.887
@@ Line 414: / Line 414: @@
 . https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020066.png ; $A \oplus B$ ; confidence 0.887
-. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j120020160.png ; $H _ { t } = h ( B _ { \operatorname { min } } ( t , \tau ) )$ ; confidence 0.887
+. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j120020160.png ; $H _ { t } = h ( B _ { \operatorname { min }  ( t , \tau )} )$ ; confidence 0.887
-. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d120230112.png ; $u _ { i } = ( \beta _ { i } \quad 1 )$ ; confidence 0.887
+. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d120230112.png ; $u _ { i } = \left( \beta _ { i } \quad 1 \right) $ ; confidence 0.887
 . https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b120210121.png ; $\gamma \in \Delta _ { + }$ ; confidence 0.887
-. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017010.png ; $b ( t ) = \int _ { 0 } ^ { + \infty } \beta ( \alpha ) p ( \alpha , t ) d \alpha$ ; confidence 0.887
+. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017010.png ; $b ( t ) = \int _ { 0 } ^ { + \infty } \beta ( a ) p ( a , t ) d a$ ; confidence 0.887
 . https://www.encyclopediaofmath.org/legacyimages/h/h120/h120110/h12011027.png ; $\int _ { \sigma ( \Gamma ) } f ( z ) d z = 0.$ ; confidence 0.887
-. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006030.png ; $\gamma \rho ( x ) ^ { 2 / 3 } = [ \Phi ( x ) - \mu ]_+$ ; confidence 0.887
+. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006030.png ; $\gamma \rho ( x ) ^ { 2 / 3 } = [ \Phi ( x ) - \mu ]_+ ,$ ; confidence 0.887
 . https://www.encyclopediaofmath.org/legacyimages/c/c027/c027210/c027210120.png ; $x \in \Omega$ ; confidence 0.887
@@ Line 432: / Line 432: @@
 . https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a1200603.png ; $\Omega \subset \mathbf{R} ^ { m }$ ; confidence 0.887
-. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130620/s13062078.png ; $\mu = \mu _ { ac } + \mu _ { s }$ ; confidence 0.887
+. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130620/s13062078.png ; $\mu = \mu _ { ac } + \mu _ { s } ,$ ; confidence 0.887
-. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130160/r13016032.png ; $\mathcal{C} ^ { \infty } ( \Omega ) / I _ { \mathcal{S} }$ ; confidence 0.887
+. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130160/r13016032.png ; $\mathcal{C} ^ { \infty } ( \Omega ) / \mathcal{I} _ { S }$ ; confidence 0.887
 . https://www.encyclopediaofmath.org/legacyimages/t/t130/t130210/t13021051.png ; $4 / ( 3 N / 2 )$ ; confidence 0.887
@@ Line 446: / Line 446: @@
 . https://www.encyclopediaofmath.org/legacyimages/a/a130/a130190/a13019052.png ; $8 _ { 18 }$ ; confidence 0.887
-. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m13014096.png ; $\mathcal{D} = \mathcal{D} _ { j , k } ( \alpha )$ ; confidence 0.887
+. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m13014096.png ; $\mathcal{D} = \mathcal{D} _ { j , k } ( a )$ ; confidence 0.887
 . https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r130080118.png ; $v _ { j } : = ( v , \varphi _ { j } ) _ { 0 }$ ; confidence 0.887
@@ Line 458: / Line 458: @@
 . https://www.encyclopediaofmath.org/legacyimages/i/i052/i052700/i0527005.png ; $\dot { x } = A ( t ) x$ ; confidence 0.886
-. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120010/q12001088.png ; $s \mapsto \tilde{\pi} ( s )$ ; confidence 0.886
+. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120010/q12001088.png ; $s \mapsto \widetilde{\pi} ( s )$ ; confidence 0.886
 . https://www.encyclopediaofmath.org/legacyimages/n/n130/n130040/n1300404.png ; $a ^ { n } b ^ { n }$ ; confidence 0.886
-. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o1300107.png ; $\Gamma u = 0 \text { on } S$ ; confidence 0.886
+. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o1300107.png ; $\Gamma u = 0 \text { on } S,$ ; confidence 0.886
 . https://www.encyclopediaofmath.org/legacyimages/c/c024/c024750/c02475024.png ; $C = 0$ ; confidence 0.886
@@ Line 470: / Line 470: @@
 . https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020067.png ; $\hat { \mathfrak { g } } ( A )$ ; confidence 0.886
-. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h12012046.png ; $( \mathbf{Z} , d_Z )$ ; confidence 0.886
+. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h12012046.png ; $( Z , d_\text{Z} )$ ; confidence 0.886
 . https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b120210122.png ; $w _ { 1 } = \sigma _ { \gamma } w _ { 2 }$ ; confidence 0.886
@@ Line 484: / Line 484: @@
 . https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n066630122.png ; $H _ { p } ^ { r - 1 / p } ( \partial \Omega )$ ; confidence 0.886
-. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e12012037.png ; $\sum _ { j } h _ { j } > 0$ ; confidence 0.886
+. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e12012037.png ; $\sum _ { j } h _ { ij } > 0$ ; confidence 0.886
-. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130070/b13007026.png ; $BS ( m , n )$ ; confidence 0.886
+. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130070/b13007026.png ; $\operatorname{BS} ( m , n )$ ; confidence 0.886
-. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m13025041.png ; $M _ { 2 } ( R ^ { n } ) = \{$ ; confidence 0.886
+. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m13025041.png ; $\mathcal{M} _ { 2 } ( \mathbf{R} ^ { n } ) = \{$ ; confidence 0.886
-. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120110/m12011054.png ; $\pi _ { 1 } ( M ) \neq Z _ { 2 }$ ; confidence 0.886
+. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120110/m12011054.png ; $\pi _ { 1 } ( M ) \neq \mathbf{Z} _ { 2 }$ ; confidence 0.886
 . https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020205.png ; $r = p$ ; confidence 0.886
@@ Line 498: / Line 498: @@
 . https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r130070176.png ; $R ( L ) = H _ { K }$ ; confidence 0.886
-. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030330/d03033031.png ; $H ^ { * } ( A _ { dR } ( X ) )$ ; confidence 0.886
+. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030330/d03033031.png ; $H ^ { * } ( A _ { \text{dR} } ( X ) )$ ; confidence 0.886
 . https://www.encyclopediaofmath.org/legacyimages/k/k120/k120080/k12008029.png ; $Q ( \partial / \partial x ) ( f ) \equiv 0$ ; confidence 0.886
@@ Line 504: / Line 504: @@
 . https://www.encyclopediaofmath.org/legacyimages/i/i130/i130020/i1300209.png ; $I _ { A } = 0$ ; confidence 0.886
-. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s13064071.png ; $\int _ { - \infty } ^ { \infty } | t | | s ( t ) | ^ { 2 } d t < \infty$ ; confidence 0.886
+. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s13064071.png ; $\int _ { - \infty } ^ { \infty } | t | | \hat{s} ( t ) | ^ { 2 } d t < \infty.$ ; confidence 0.886
 . https://www.encyclopediaofmath.org/legacyimages/v/v130/v130110/v13011050.png ; $e ^ { \lambda t }$ ; confidence 0.886
@@ Line 522: / Line 522: @@
 . https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020043.png ; $[ e _ { i } e _ { j } ] = [ f _ { i } f _ { j } ] = 0$ ; confidence 0.885
-. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130020/j13002014.png ; $\lambda = E ( X )$ ; confidence 0.885
+. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130020/j13002014.png ; $\lambda = \mathsf{E} ( X ),$ ; confidence 0.885
-. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b13029034.png ; $A _ { p }$ ; confidence 0.885
+. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b13029034.png ; $A _ { \mathfrak{p} }$ ; confidence 0.885
-. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130170/d13017045.png ; $\lambda _ { k } \geq \frac { 4 \pi ^ { 2 } k ^ { 2 / n } } { ( C _ { n } | \Omega | ) ^ { 2 / n } } \text { for } k = 1,2$ ; confidence 0.885
+. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130170/d13017045.png ; $\lambda _ { k } \geq \frac { 4 \pi ^ { 2 } k ^ { 2 / n } } { ( C _ { n } | \Omega | ) ^ { 2 / n } } \text { for } k = 1,2, \dots . $ ; confidence 0.885
 . https://www.encyclopediaofmath.org/legacyimages/w/w120/w120210/w12021047.png ; $( s , k , B _ { m } )$ ; confidence 0.885
@@ Line 532: / Line 532: @@
 . https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c12008052.png ; $E \alpha + A \beta = I _ { n }$ ; confidence 0.885
-. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130010/l13001085.png ; $N > N$ ; confidence 0.885
+. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130010/l13001085.png ; $N > N_0$ ; confidence 0.885
 . https://www.encyclopediaofmath.org/legacyimages/f/f120/f120190/f12019036.png ; $1 \neq h \in H$ ; confidence 0.885
-. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001030.png ; $5$ ; confidence 0.885
+. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001030.png ; $\mathcal{S}$ ; confidence 0.885
-. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110150/a11015014.png ; $\alpha ( t )$ ; confidence 0.885
+. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110150/a11015014.png ; $a ( t )$ ; confidence 0.885
-. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130170/a13017025.png ; $B \circ \Pi$ ; confidence 0.885
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130170/a13017025.png ; $\mathcal{B} \circ \Pi$ ; confidence 0.885
-. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005024.png ; $u ( 0 ) = u _ { 0 }$ ; confidence 0.885
+. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005024.png ; $u ( 0 ) = u _ { 0 },$ ; confidence 0.885
 . https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110115.png ; $\chi ( x , \xi ) = ( x + x _ { 0 } , \xi + \xi _ { 0 } )$ ; confidence 0.885
-. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t12020093.png ; $z _ { j } | z _ { j } | = 1$ ; confidence 0.885
+. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t12020093.png ; $\min_{ z _ { j }} | z _ { j } | = 1$ ; confidence 0.885
 . https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024085.png ; $\gamma _ { i j }$ ; confidence 0.884
-. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130010/j13001042.png ; $| f | = | f | - + | f | +$ ; confidence 0.884
+. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130010/j13001042.png ; $| f | = | f |_{ -} + | f |_{+}$ ; confidence 0.884
-. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120110/m12011032.png ; $F ^ { x + 1 } \subset M$ ; confidence 0.884
+. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120110/m12011032.png ; $F ^ { n + 1 } \subset M$ ; confidence 0.884
 . https://www.encyclopediaofmath.org/legacyimages/v/v130/v130110/v13011080.png ; $D = \rho \frac { \Gamma b } { l } ( V - 2 U ) + \rho \frac { \Gamma ^ { 2 } } { 2 \pi l } \approx$ ; confidence 0.884
@@ Line 560: / Line 560: @@
 . https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w13008086.png ; $w \rightarrow \infty$ ; confidence 0.884
-. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120120/m12012018.png ; $f ] [ B , g ] = [ B A , f g ]$ ; confidence 0.884
+. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120120/m12012018.png ; $[A,f ] [ B , g ] = [ B A , f g ].$ ; confidence 0.884
-. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130030/h1300307.png ; $s _ { i } + j - 1 = ( i + j - 1 ) ^ { - 1 }$ ; confidence 0.884
+. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130030/h1300307.png ; $s _ { i  + j - 1} = ( i + j - 1 ) ^ { - 1 }$ ; confidence 0.884
 . https://www.encyclopediaofmath.org/legacyimages/d/d110/d110080/d1100807.png ; $[ L : K ] = d . e . f$ ; confidence 0.884
@@ Line 568: / Line 568: @@
 . https://www.encyclopediaofmath.org/legacyimages/s/s120/s120150/s12015042.png ; $G ( S )$ ; confidence 0.884
-. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t1300501.png ; $\Lambda \equiv \Lambda [ e ] \equiv \Lambda _ { N } [ e ]$ ; confidence 0.884
+. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t1300501.png ; $\Lambda \equiv \Lambda [ e ] \equiv \Lambda _ { n } [ e ]$ ; confidence 0.884
-. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240334.png ; $\Gamma = B X$ ; confidence 0.884
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240334.png ; $\Gamma = \mathbf{B} \mathbf{X}_4$ ; confidence 0.884
-. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240239.png ; $MS _ { e }$ ; confidence 0.884
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240239.png ; $ \operatorname{MS} _ { e }$ ; confidence 0.884
-. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120190/c12019044.png ; $T ( M )$ ; confidence 0.884
+. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120190/c12019044.png ; $\mathcal{T} ( M )$ ; confidence 0.884
-. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130290/a13029059.png ; $QH ^ { * } ( M )$ ; confidence 0.884
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130290/a13029059.png ; $ \operatorname{QH} ^ { * } ( M )$ ; confidence 0.884
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120050/b1200509.png ; $A : E \times \ldots \times E \rightarrow C$ ; confidence 0.884
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120050/b1200509.png ; $A : E \times \ldots \times E \rightarrow \mathbf{C}$ ; confidence 0.884
 . https://www.encyclopediaofmath.org/legacyimages/e/e120/e120260/e120260140.png ; $v , p , x$ ; confidence 0.884
-. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130030/d13003013.png ; $\int _ { - \infty } ^ { \infty } x ^ { k } \psi _ { N } ( x ) d x = 0,0 \leq k \leq N$ ; confidence 0.884
+. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130030/d13003013.png ; $\int _ { - \infty } ^ { \infty } x ^ { k } \psi _ { N } ( x ) d x = 0,0 \leq k \leq N.$ ; confidence 0.884
 . https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c12008013.png ; $A _ { 1 } \in C ^ { m \times m }$ ; confidence 0.884
@@ Line 590: / Line 590: @@
 . https://www.encyclopediaofmath.org/legacyimages/f/f041/f041880/f04188072.png ; $V _ { m }$ ; confidence 0.883
-. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m13025038.png ; $M _ { 1 } ( R ^ { n } ) = \{$ ; confidence 0.883
+. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m13025038.png ; $\mathcal{M}_ { 1 } ( \mathbf{R} ^ { n } ) = \{$ ; confidence 0.883
 . https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i13003093.png ; $k _ { t } ( x , y ) = \operatorname { str } ( e ^ { - t D ^ { 2 } } ) = \operatorname { tr } ( e ^ { - t D _ { + } ^ { * } D _ { + } } ) - \operatorname { tr } ( e ^ { - t D _ { + } D _ { + } ^ { * } } )$ ; confidence 0.883
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120200/b12020013.png ; $S f \in M$ ; confidence 0.883
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120200/b12020013.png ; $S f \in \mathcal{M}$ ; confidence 0.883
 . https://www.encyclopediaofmath.org/legacyimages/b/b120/b120240/b12024016.png ; $g : \overline { U } \rightarrow V$ ; confidence 0.883
-. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120270/a120270102.png ; $O _ { K } [ G$ ; confidence 0.883
+. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120270/a120270102.png ; $O _ { K } [G]$ ; confidence 0.883