Difference between revisions of "User:Maximilian Janisch/latexlist/latex/NoNroff/29"

Revision as of 21:18, 7 May 2020

List

1. ; $\omega \in \hat { G }$ ; confidence 0.940

2. ; $0 \notin \overline { D }$ ; confidence 0.940

3. ; $\{ \lambda _ { k } ^ { ( n ) } \} _ { k = 1 } ^ { n }$ ; confidence 0.940

4. ; $g \circ h = f$ ; confidence 0.940

5. ; $T : S \rightarrow S$ ; confidence 0.940

6. ; $+ \frac { d } { d m } \operatorname { ln } g ( L ; m , s ) \frac { d m } { d s } + \frac { d } { d s } \operatorname { ln } g ( L ; m , s ) = 0 , - \frac { d } { d s } \operatorname { ln } \alpha ( s ) = - \frac { d } { d R } \operatorname { ln } \frac { f ( R ) } { g ( R ; m , s ) } \frac { d R } { d s }+$ ; confidence 0.940

7. ; $Q ( R )$ ; confidence 0.940

8. ; $e : A \rightarrow f [ A ]$ ; confidence 0.940

9. ; $L = \operatorname { Ker } ( P _ { \sigma } )$ ; confidence 0.940

10. ; $\langle u - v , j \rangle \geq 0$ ; confidence 0.940

11. ; $z \in \Omega$ ; confidence 0.940

12. ; $O ( \varepsilon ^ { - N } )$ ; confidence 0.940

13. ; $\mathcal{R} _ { V } : V \otimes _ { k } V \rightarrow V \otimes _ { k } V$ ; confidence 0.940

14. ; $SO ( 3 )$ ; confidence 0.940

15. ; $P = P ( G ) = \{ x \in G : x \succeq e \}$ ; confidence 0.940

16. ; $( M , g )$ ; confidence 0.940

17. ; $E _ { n + 1 } ( x ) = ( 1 - x ^ { 2 } ) U _ { n - 1 } ( x )$ ; confidence 0.940

18. ; $G = \operatorname { Sp } ( 2 g , \mathbf{R} )$ ; confidence 0.940

19. ; $| q ( x ) | \leq c ( 1 + | x | ) ^ { - b } , b > 2,\text{ for large }|x|.$ ; confidence 0.940

20. ; $E \times E \rightarrow \mathcal{K}$ ; confidence 0.940

21. ; $= ( 2 ^ { 2 t + 2 } \frac { 2 ^ { 2 t } - 1 } { 3 } , 2 ^ { 2 t - 1 } \frac { 2 ^ { 2 t + 1 } + 1 } { 3 } , 2 ^ { 2 t - 1 } \frac { 2 ^ { 2 t - 1 } + 1 } { 3 } , 2 ^ { 4 t - 2 } ),$ ; confidence 0.940

22. ; $N H = G$ ; confidence 0.940

23. ; $i , j, \in \mathbf{Z}_+ .$ ; confidence 0.940

24. ; $| K ( x - , y ) - K ( x , y ) | \leq C | x ^ { \prime } - x | ^ { \gamma } | x - y | ^ { - n - \gamma }.$ ; confidence 0.940

25. ; $\hat { \phi } ( \xi ) = \int _ { R ^ { n } } \phi ( x ) e ^ { - i \xi x } d x,$ ; confidence 0.940

26. ; $u \in C ( [ 0 , T ] ; D ( \mathcal{A} ) ) \cap C ^ { 1 } ( [ 0 , T ] ; X )$ ; confidence 0.940

27. ; $X = E \oplus F$ ; confidence 0.940

28. ; $\operatorname { sign } ( X _ { 1 } - X _ { 2 } )$ ; confidence 0.940

29. ; $q ^ { - 1 } b \rightarrow r ^ { - 1 } b$ ; confidence 0.940

30. ; $\operatorname { lim } _ { n \rightarrow \infty } [ ( - z ) \frac { P _ { n } ( - z ) } { Q _ { n } ( - z ) } ] = z \int _ { 0 } ^ { \infty } \frac { d \psi ( t ) } { z + t },$ ; confidence 0.940

31. ; $\| x \| _ { 2 } = ( x ^ { T } x ) ^ { 1 / 2 }$ ; confidence 0.940

32. ; $u , v \in U$ ; confidence 0.940

33. ; $X ( p \times n ) = ( X _ { ij } )$ ; confidence 0.940

34. ; $U : \operatorname{Cat} \rightarrow \operatorname{Graph}$ ; confidence 0.940

35. ; $P _ { j } = \mathfrak { p } _ { j } ( T )$ ; confidence 0.940

36. ; $X ^ { Y }$ ; confidence 0.940

37. ; $\left( \begin{array} { c c } { 0 } & { - 1 } \\ { A } & { 0 } \end{array} \right)$ ; confidence 0.940

38. ; $\delta \neq 0$ ; confidence 0.940

39. ; $f _ { n } \rightarrow f$ ; confidence 0.940

40. ; $x \in \Sigma ^ { i } ( f )$ ; confidence 0.940

41. ; $f ^ { \prime } ( N * ) < 0$ ; confidence 0.940

42. ; $( f ( t _ { 1 } ) , \ldots , f ( t _ { p } ) )$ ; confidence 0.940

43. ; $B = \pi ( X )$ ; confidence 0.939

44. ; $k = 4,8$ ; confidence 0.939

45. ; $\operatorname { limsup } _ { n \rightarrow \infty , n \in U _ { \alpha } } \frac { \sigma ^ { * } ( n ) } { n } = \alpha.$ ; confidence 0.939

46. ; $\mathbf{R} ^ { n } \backslash \overline { \Omega }$ ; confidence 0.939

47. ; $| V _ { n , p } ( f , x ) | \leq K ( c ) \operatorname { max } | f ( x ) |$ ; confidence 0.939

48. ; $R _ { i } \rightarrow w R _ { i } w ^ { - 1 }$ ; confidence 0.939

49. ; $f ^ { \prime } ( N * ) n$ ; confidence 0.939

50. ; $( \tau _ { 2 } - \tau _ { 1 } ) \circ \nabla \circ \nabla$ ; confidence 0.939

51. ; $\frac { A ( \alpha ^ { \prime } , \alpha , k ) - \overline { A ( \alpha , \alpha ^ { \prime } , k ) } } { 2 i } =$ ; confidence 0.939

52. ; $\beta_5$ ; confidence 0.939

53. ; $W ^ { k } L _ { \Phi } ( \Omega )$ ; confidence 0.939

54. ; $e : X ^ { Z \times Y } \rightarrow ( X ^ { Y } ) ^ { Z }$ ; confidence 0.939

55. ; $W ( u )$ ; confidence 0.939

56. ; $\partial _ { s- }$ ; confidence 0.939

57. ; $\emptyset \neq M \subseteq E$ ; confidence 0.939

58. ; $f _ { X } ( X )$ ; confidence 0.939

59. ; $\chi _ { l } ^ { \prime } ( G )$ ; confidence 0.939

60. ; $D B _ { 1 }$ ; confidence 0.939

61. ; $( \frac { \partial ^ { 2 } u } { \partial z _ { i } \partial \overline{z _ { j } }} )$ ; confidence 0.939

62. ; $T \rightarrow 0$ ; confidence 0.939

63. ; $[ p ( T ) x , x ] \geq 0$ ; confidence 0.939

64. ; $m \geq n$ ; confidence 0.939

65. ; $\equiv - \operatorname { lk } ( L ) v ( \frac { v ^ { - 1 } - v } { z } ) ^ { \operatorname { com } ( L ) - 2 } \operatorname { mod } ( z )$ ; confidence 0.939

66. ; $\| \partial \phi _ { i } / \partial x _ { j } \|$ ; confidence 0.939

67. ; $S ( C ) = H \operatorname { exp } C$ ; confidence 0.938

68. ; $n \leq p$ ; confidence 0.938

69. ; $[ \mathfrak { h } , \mathfrak { g } _ { \pm } ] \subset \mathfrak { g } _ { \pm }$ ; confidence 0.938

70. ; $( \neg \varphi )$ ; confidence 0.938

71. ; $H ^ { i } ( \overline{X} , F _ { n } )$ ; confidence 0.938

72. ; $T ^ { \prime } T$ ; confidence 0.938

73. ; $\mathcal{M} ( \Omega ) \subset \mathcal{D} ^ { \prime } ( \Omega ) \times \mathcal{D} ^ { \prime } ( \Omega )$ ; confidence 0.938

74. ; $\{ Y _ { t } , B _ { t } , 1 _ { t } \}$ ; confidence 0.938

75. ; $g ^ { - 1 } : \otimes ^ { 2 } \epsilon \rightarrow \mathcal{R}$ ; confidence 0.938

76. ; $\beta ( \alpha , x ) = R \beta _ { 0 } ( \alpha ) \Phi ( x )$ ; confidence 0.938

77. ; $V _ { n }$ ; confidence 0.938

78. ; $P _ { i } ( v )$ ; confidence 0.938

79. ; $\sum _ { n = - \infty } ^ { \infty } | b _ { n } | \leq 10 \sum _ { n = 1 } ^ { \infty } a _ { n } ^ { * }.$ ; confidence 0.938

80. ; $T _ { E } M ^ { * }$ ; confidence 0.938

81. ; $J \mapsto M ^ { t } J M$ ; confidence 0.938

82. ; $\overline { ( h _ { \mu \nu } ) } \square ^ { T } = ( h _ { \mu \nu } )$ ; confidence 0.938

83. ; $m /4$ ; confidence 0.938

84. ; $L _ { p } ( T )$ ; confidence 0.938

85. ; $C \mathcal{A}$ ; confidence 0.938

86. ; $U ^ { \prime \prime } \subseteq U$ ; confidence 0.938

87. ; $\alpha _ { i j }$ ; confidence 0.938

88. ; $f _ { Q } = \frac { 1 } { | Q | } \int _ { Q } f ( t ) d t.$ ; confidence 0.938

89. ; $I / 2 - h _ { \theta } ^ { * }$ ; confidence 0.938

90. ; $U \subset \mathbf{R} ^ { p }$ ; confidence 0.938

91. ; $\mathbf{F} _ { p }$ ; confidence 0.938

92. ; $d _ { n } = \prod _ { p - 1 | n } p ^ { 1 + v _ { p } ( n ) },$ ; confidence 0.938

93. ; $\vec { \beta }$ ; confidence 0.938

94. ; $\operatorname { lim } _ { i \rightarrow \infty } x _ { i i } = 0$ ; confidence 0.938

95. ; $\operatorname{Fun}_{\ddot{q}} ( G )$ ; confidence 0.938

96. ; $\alpha _ { k } = \int x ^ { k } d F ( x )$ ; confidence 0.938

97. ; $\mathcal{B} ( E )$ ; confidence 0.938

98. ; $SP ^ { - } ( n )$ ; confidence 0.938

99. ; $\leq 6$ ; confidence 0.938

100. ; $\xi \in A$ ; confidence 0.938

101. ; $E \times \mathbf{R}$ ; confidence 0.937

102. ; $p ( t ) = t ^ { N } - 1$ ; confidence 0.937

103. ; $\mathcal{P} - \phi$ ; confidence 0.937

104. ; $\operatorname{dim}V^\lambda<\infty$ ; confidence 0.937

105. ; $| 1 \rangle$ ; confidence 0.937

106. ; $\delta ( a b ) = \delta ( a ) b + a \delta ( b )$ ; confidence 0.937

107. ; $\sigma _ { U , V } : U \otimes _ { k } V \rightarrow V \otimes _ { k } U$ ; confidence 0.937

108. ; $B \triangleleft R$ ; confidence 0.937

109. ; $\overline{X} = \frac { 1 } { n } \sum _ { i = 1 } ^ { n } X$ ; confidence 0.937

110. ; $( B _ { X } * , w ^ { * } )$ ; confidence 0.937

111. ; $\mathcal{F} = \{ Y : \operatorname { Hom } _ { H } ( T , Y ) = 0 \}$ ; confidence 0.937

112. ; $- \infty < t _ { 1 } \leq \ldots \leq t _ { n } < \infty$ ; confidence 0.937

113. ; $( ( k _ { n } ) _ { n = 1 } ^ { \infty } , ( l _ { n } ) _ { n = 1 } ^ { \infty } ) \in \mathcal{A} _ { p } ( G )$ ; confidence 0.937

114. ; $L _ { 2 } ( X , \mu )$ ; confidence 0.937

115. ; $K _ { p } ( f )$ ; confidence 0.937

116. ; $7$ ; confidence 0.937

117. ; $< d$ ; confidence 0.937

118. ; $y \in X ^ { \prime }$ ; confidence 0.937

119. ; $H ( x ) = 1$ ; confidence 0.937

120. ; $f ( x ) \mapsto S _ { N } ( f ; x ),$ ; confidence 0.937

121. ; $( L _ { + } , L _ { - } , L _ { 0 } )$ ; confidence 0.937

122. ; $L \in \Omega ^ { k + 1 } ( M ; T M )$ ; confidence 0.937

123. ; $x _ { j t } , y _ { i t } \geq 0.$ ; confidence 0.937

124. ; $A ^ { * } X$ ; confidence 0.937

125. ; $| x | = x ^ { + } ( x ^ { - } ) ^ { - 1 },$ ; confidence 0.937

126. ; $W ^ { + }$ ; confidence 0.937

127. ; $\mathcal{T} ( V )$ ; confidence 0.937

128. ; $d f / f$ ; confidence 0.937

129. ; $h > 0$ ; confidence 0.937

130. ; $\xi \in \mathcal{A} ^ { \prime \prime }$ ; confidence 0.937

131. ; $( a b ) ^ { - 1 } = 1$ ; confidence 0.937

132. ; $\langle w , f \rangle \neq 0$ ; confidence 0.937

133. ; $c ( n )$ ; confidence 0.937

134. ; $ \begin{cases} { l } { \frac { d N } { d t } = N ( - 2 \alpha N - \delta F + \lambda ) }, \\ { \frac { d F } { d t } = F ( 2 \beta N + \gamma F ^ { p } - \varepsilon - \mu _ { 1 } L ) }, \\ { \frac { d L } { d t } = \mu _ { 2 } L F - \nu L }, \end{cases} $ ; confidence 0.937

135. ; $A = [ \alpha , j ]$ ; confidence 0.937

136. ; $\mathcal{T} ( M | B )$ ; confidence 0.937

137. ; $V \rightarrow H ^ { 0 } ( G / B , \xi )$ ; confidence 0.937

138. ; $r + 1$ ; confidence 0.937

139. ; $d _ { 1 } = \ldots = d _ { q } = 1$ ; confidence 0.936

140. ; $s _ { j } ( T ) = \operatorname { inf } \{ \| T - R \| : \operatorname { rank } R \leq j \} , j \geq 0.$ ; confidence 0.936

141. ; $C = \alpha _ { 12 } - \mu _ { 0 } \beta _ { 21 } \operatorname { cos } \theta + \mu _ { 0 } \beta _ { 31 } \operatorname { sin } \theta , D = \alpha _ { 11 } + \mu _ { 0 } \beta _ { 22 } \operatorname { cos } \theta - \mu _ { 0 } \beta _ { 32 } \operatorname { sin } \theta,$ ; confidence 0.936

142. ; $f \in C ^ { k } [ N , N + M ]$ ; confidence 0.936

143. ; $\text{NSPACE }[ n ] \neq\text{co NSPACE }[n]$ ; confidence 0.936

144. ; $N ( t ) = \sum _ { 1 } ^ { \infty } I ( S _ { k } \leq t )$ ; confidence 0.936

145. ; $\mathcal{G} ( \Omega ) = \epsilon _ { M } / \mathcal{N}$ ; confidence 0.936

146. ; $q + 1$ ; confidence 0.936

147. ; $R ^ { 21 } = \sum b _ { i } \otimes a _ { i }$ ; confidence 0.936

148. ; $y , \beta , e$ ; confidence 0.936

149. ; $b _ { i j k }$ ; confidence 0.936

150. ; $b _ { n }$ ; confidence 0.936

151. ; $\sum | I _ { j } | \leq \frac { 1 } { \alpha } \int _ { I } | u ( \vartheta ) | d \vartheta.$ ; confidence 0.936

152. ; $\left| \prod _ { j = 1 } ^ { k } ( \lambda - A ( t _ { j } ) ) ^ { - 1 } \right\| _ { X } \leq M ( \lambda - \beta ) ^ { - k },$ ; confidence 0.936

153. ; $\sum _ { i , j = 1 } ^ { n } \overline { c } _ { i } K _ { S } ( w _ { j } , w _ { i } ) c _ { j } \geq 0$ ; confidence 0.936

154. ; $b \in G$ ; confidence 0.936

155. ; $\{ \gamma \in \Gamma _ { m } : f ( \gamma ) \neq 0 \}$ ; confidence 0.936

156. ; $s , t \in \mathbf{R}$ ; confidence 0.936

157. ; $y x ^ { - 1 } \in P$ ; confidence 0.936

158. ; $H _ { K } ( \zeta ) = \operatorname { sup } _ { z \in K } \operatorname { Re } ( \zeta z )$ ; confidence 0.936

159. ; $t \mapsto \gamma ( t ) = \operatorname { exp } _ { p } ( t v )$ ; confidence 0.936

160. ; $K _ { 0 }$ ; confidence 0.936

161. ; $\mathcal{F} : L ^ { 2 } ( D ^ { \prime } ) \rightarrow L ^ { 2 } ( \mathbf{R} ^ { 3 } )$ ; confidence 0.936

162. ; $\mathcal{O} _ { S } ^ { * }$ ; confidence 0.936

163. ; $\Gamma \subset D \cap Q$ ; confidence 0.936

164. ; $S = - \Delta + W$ ; confidence 0.936

165. ; $k_b$ ; confidence 0.936

166. ; $f ( x x ^ { * } ) < + \infty$ ; confidence 0.936

167. ; $L _ { p } ( S \times T )$ ; confidence 0.936

168. ; $\operatorname { su } ( 3 )$ ; confidence 0.936

169. ; $2 m$ ; confidence 0.936

170. ; $C ( 10 )$ ; confidence 0.936

171. ; $ki$ ; confidence 0.936

172. ; $\mathcal{R} ( \phi ) \subset \sigma _ { e } ( T _ { \phi } ) \subset \sigma ( T _ { \phi } ) \subset \operatorname { conv } ( \mathcal{R} ( \phi ) ).$ ; confidence 0.936

173. ; $Q _ { D _ { + } } - Q _ { D _ { - } } = \left\{ \begin{array} { l } { Q _ { D _ { 0 } } } \text{ for a self}\square\text{ crossing}, \\ { z ^ { 2 } Q _ { D _ { 0 } } }\text{ for a mixed crossing}, \end{array} \right.$ ; confidence 0.936

174. ; $SS _ { e }$ ; confidence 0.936

175. ; $\zeta ( s , \alpha )$ ; confidence 0.936

176. ; $\operatorname { ldim } ( P ) = \operatorname { dim } ( \mathcal{C} ( P ) )$ ; confidence 0.936

177. ; $1 \leq s \leq d / ( d - 1 )$ ; confidence 0.936

178. ; $\operatorname{lim}S _ { R } ^ { \delta } ( x ) = f ( x )$ ; confidence 0.936

179. ; $X ^ { 2 } ( \hat { \theta } _ { n } )$ ; confidence 0.936

180. ; $P = ( \frac { u _ { i } u _ { j } ^ { * } - v _ { i } v _ { j } ^ { * } } { 1 - f _ { i } f _ { j } ^ { * } } ) _ { i , j = 0 } ^ { n - 1 },$ ; confidence 0.936

181. ; $R ( x ) _ { 12 } R ( x y ) _ { 13 } R ( y ) _ { 23 } = R ( y ) _ { 23 } R ( x y ) _ { 13 } R ( x ) _ { 12 }$ ; confidence 0.936

182. ; $\mathcal{M} ( \mathbf{R} ^ { 2 n } )$ ; confidence 0.936

183. ; $c = \operatorname { cos } \alpha$ ; confidence 0.935

184. ; $c ( i , m ) = L ^ { * } ( h ^ { i } ( X ) , s ) _ { s = m }$ ; confidence 0.935

185. ; $\Lambda \supseteq \Phi$ ; confidence 0.935

186. ; $\alpha \notin \{ 0,1 \}$ ; confidence 0.935

187. ; $X_i \in \chi ( M )$ ; confidence 0.935

188. ; $1 = 3 g - 3$ ; confidence 0.935

189. ; $K = 0$ ; confidence 0.935

190. ; $F_{ ( i )}$ ; confidence 0.935

191. ; $\operatorname { lim } _ { \rho \rightarrow 0 } [ f ( x _ { 0 } + \gamma \rho n _ { 0 } ) - f _ { \rho } ^ { C } ( x _ { 0 } + \gamma \rho n _ { 0 } ) ] = D ( x _ { 0 } ) \psi ( \gamma ),$ ; confidence 0.935

192. ; $< x \operatorname { exp } ( - \frac { 1 } { 25 } ( \operatorname { log } x \operatorname { log } \operatorname { log } x ) ^ { 1 / 2 } ).$ ; confidence 0.935

193. ; $F \rightarrow E \rightarrow B$ ; confidence 0.935

194. ; $1 \leq m \leq \left( \begin{array} { l } { n } \\ { k } \end{array} \right)$ ; confidence 0.935

195. ; $\lambda _ { k } \approx \frac { 4 \pi ^ { 2 } k ^ { 2 / n } } { ( C _ { n } | \Omega | ) ^ { 2 / n } },$ ; confidence 0.935

196. ; $x \circ y : = ( x y + y x ) / 2$ ; confidence 0.935

197. ; $D _ { A } = \left( \begin{array} { c c c c } { 0 } & { 0 } & { 0 } & { 0 } \\ { A _ { 1 } } & { 0 } & { 0 } & { 0 } \\ { A _ { 2 } } & { 0 } & { 0 } & { 0 } \\ { 0 } & { - A _ { 2 } } & { A _ { 1 } } & { 0 } \end{array} \right),$ ; confidence 0.935

198. ; $\theta ( 1 ) = - \pi / 2$ ; confidence 0.935

199. ; $X ^ { G } \hookrightarrow X$ ; confidence 0.935

200. ; $f _ { A } : A ^ { m } \rightarrow A$ ; confidence 0.935

201. ; $k _ { \mu } ^ { \prime \prime } ( \theta ) = V _ { F } ( k _ { \mu } ^ { \prime } ( \theta ) )$ ; confidence 0.935

202. ; $\lambda _ { 1 } \geq \ldots \geq \lambda _ { p } \geq 0$ ; confidence 0.935

203. ; $S ( g )$ ; confidence 0.935

204. ; $\mathcal{C} ^ { \infty } ( \mathcal{D} ( \Omega ) )$ ; confidence 0.935

205. ; $q ( x ) \in L ^ { 2 } ( \mathbf{R} ^ { 3 } )$ ; confidence 0.935

206. ; $C = C _ { 0 } \oplus C _ { 1 },$ ; confidence 0.935

207. ; $Pl$ ; confidence 0.935

208. ; $a , b \in \mathbf{Z}$ ; confidence 0.935

209. ; $( i , j )$ ; confidence 0.935

210. ; $t ^ { \lambda }$ ; confidence 0.935

211. ; $( K , v )$ ; confidence 0.935

212. ; $D _ { + }$ ; confidence 0.935

213. ; $\frac { \partial v } { \partial t } = - \frac { \partial ^ { 2 } u } { \partial x ^ { 2 } } - 2 ( v \frac { \partial u } { \partial x } + u \frac { \partial v } { \partial x } ).$ ; confidence 0.935

214. ; $X \rightarrow B ( \mu )$ ; confidence 0.935

215. ; $\operatorname { inf } _ { \nu \in \tilde{A} } \tilde{I} ( \nu ).$ ; confidence 0.935

216. ; $\xi < \eta < \kappa$ ; confidence 0.935

217. ; $z_0$ ; confidence 0.935

218. ; $\operatorname{det} \; \operatorname{ind} \overline { \partial }$ ; confidence 0.935

219. ; $( A )$ ; confidence 0.935

220. ; $U _ { \mu }$ ; confidence 0.935

221. ; $| x | | = 0$ ; confidence 0.935

222. ; $\xi \in \partial _ { c } g ( x )$ ; confidence 0.935

223. ; $w \in E ^ { * * }$ ; confidence 0.935

224. ; $A \in C ^ { n \times n }$ ; confidence 0.934

225. ; $n > p$ ; confidence 0.934

226. ; $K = ( 1 + k ) / ( 1 - k )$ ; confidence 0.934

227. ; $B _ { R } = \{ x : | x | \leq R \}$ ; confidence 0.934

228. ; $A ^ { \alpha } f$ ; confidence 0.934

229. ; $\Gamma _ { X } ( t , s )$ ; confidence 0.934

230. ; $F ^ { \prime } ( c )$ ; confidence 0.934

231. ; $s _ { j }$ ; confidence 0.934

232. ; $v = v _ { 1 } + v _ { 2 }$ ; confidence 0.934

233. ; $m _ { i j } = - 1$ ; confidence 0.934

234. ; $x ^ { n } = \operatorname { sinh } u ^ { n }$ ; confidence 0.934

235. ; $L = \phi$ ; confidence 0.934

236. ; $J \pi ( g ) = \pi ( \tau ( g ) ) J$ ; confidence 0.934

237. ; $\sum _ { 0 } ^ { \infty } | f _ { n } | \operatorname { sup } _ { U } | \varphi _ { n } ( z ) | \leq \operatorname { sup } _ { K } | f ( z ) |.$ ; confidence 0.934

238. ; $E \in \Sigma$ ; confidence 0.934

239. ; $i \neq \operatorname { dim } _ { A } M$ ; confidence 0.934

240. ; $\{ \alpha , b \} _ { p } = ( - 1 ) ^ { \alpha \beta } r ^ { \beta } s ^ { \alpha }$ ; confidence 0.934

241. ; $PG ( 2 , q ),$ ; confidence 0.934

242. ; $B _ { k } = M _ { 1 } \supset \ldots \supset M _ { s } = 0$ ; confidence 0.934

243. ; $SU( N )$ ; confidence 0.934

244. ; $\mathcal{A} = \mathcal{A} _ { 0 } \oplus \mathcal{A} _ { 1 } \oplus \ldots$ ; confidence 0.934

245. ; $+ i \infty$ ; confidence 0.934

246. ; $Y ( t ) \in \mathbf{R} ^ { m }$ ; confidence 0.934

247. ; $x _ { i } \in [ 0,1 ] ^ { d }$ ; confidence 0.934

248. ; $\{ B _ { r } , \phi _ { r } , g _ { r } \}$ ; confidence 0.934

249. ; $\epsilon _ { M } ( \mathcal{D} ( \Omega ) ) / \mathcal{N} ( \mathcal{D} ( \Omega ) )$ ; confidence 0.934

250. ; $m \times p$ ; confidence 0.934

251. ; $x , y \in V$ ; confidence 0.934

252. ; $h ( G ) \leq h ( C _ { G } ( A ) ) + 2 l ( A )$ ; confidence 0.934

253. ; $\operatorname{Aut}( X )$ ; confidence 0.934

254. ; $V = x ^ { * } P x$ ; confidence 0.934

255. ; $\int _ { \epsilon } ^ { \rho }$ ; confidence 0.934

256. ; $\frac { \partial q f } { \partial t } + \nabla \mathbf{J} = 0.$ ; confidence 0.934

257. ; $\operatorname { deg } F = \operatorname { max } _ { i } \operatorname { deg } F _ { i } \leq 2$ ; confidence 0.934

258. ; $h \rightarrow 0$ ; confidence 0.934

259. ; $\operatorname { lim } _ { \epsilon \rightarrow 0 + } \operatorname { Im } m _ { + } ( \lambda ) = \infty$ ; confidence 0.934

260. ; $\eta ( . )$ ; confidence 0.934

261. ; $\lambda ^ { * } ( x ) = ( \lambda ( x ^ { * } ) ) ^ { * }$ ; confidence 0.934

262. ; $( x , \xi ) \mapsto ( T x , \square ^ { t } T ^ { - 1 } \xi )$ ; confidence 0.934

263. ; $\angle \operatorname { lim } _ { z \rightarrow \omega } F ( z ) = \eta \in \partial \Delta$ ; confidence 0.934

264. ; $L _ { 2 } ( \mathbf{R} ; \omega ( \tau ) )$ ; confidence 0.934

265. ; $x \in ( a , b )$ ; confidence 0.934

266. ; $\mu = \mu ( z , \bar{z} ) \partial _ { \bar{z} } \otimes d \bar{z}$ ; confidence 0.934

267. ; $\{ \square _ { j k } ^ { i } \}$ ; confidence 0.934

268. ; $R _ { n } ( x ) = \frac { G _ { p , n } ( x ) } { \int _ { 0 } ^ { \infty } ( 1 - e ^ { - z } ) G _ { p , n } ( d z ) },$ ; confidence 0.934

269. ; $w_j$ ; confidence 0.933

270. ; $C ( n )$ ; confidence 0.933

271. ; $\mathbf{R} ^ { 2 x }$ ; confidence 0.933

272. ; $\delta > ( n - 1 ) | 1 / 2 - 1 / p |$ ; confidence 0.933

273. ; $f : A \twoheadrightarrow C$ ; confidence 0.933

274. ; $K ( a , b ) \equiv 0$ ; confidence 0.933

275. ; $E ( G )$ ; confidence 0.933

276. ; $P ( x , D ) = L ^ { m } + Q ( x , D )$ ; confidence 0.933

277. ; $\operatorname { Ext } ( A , B )$ ; confidence 0.933

278. ; $\Omega ( X ; A , B ) = \{ p : [ 0,1 ] \rightarrow X : p ( 0 ) \in A , p ( 1 ) \in B \}.$ ; confidence 0.933

279. ; $\{ f \in H ^ { \infty } : \| \phi - f \| _ { L } \infty \leq \rho \}$ ; confidence 0.933

280. ; $B_{M\otimes N}(m\otimes n= \sum b_i n \otimes a_i m $ ; confidence 0.933

281. ; $\Delta j$ ; confidence 0.933

282. ; $h ( T _ { t } x )$ ; confidence 0.933

283. ; $\mu ( z ) = k \frac { \overline { \varphi } ( z ) } { | \varphi ( z ) | } , 0 < k < 1,$ ; confidence 0.933

284. ; $\frac { \partial u } { \partial n } = 0 \text { in } \partial \Omega,$ ; confidence 0.933

285. ; $\frac { d } { d t } G ( t ) = \mathcal{L} G ( t ) + [ \mathcal{L} , \mathcal{A} ^ { * } ] G ( t ),$ ; confidence 0.933

286. ; $X T - I$ ; confidence 0.933

287. ; $\theta ^ { * } = \operatorname { arg } \operatorname { max } _ { \theta \in \Theta } \int f ( \theta , \phi ) d \phi,$ ; confidence 0.933

288. ; $K _ { 1 } \# K _ { 2 }$ ; confidence 0.933

289. ; $t _ { n }$ ; confidence 0.933

290. ; $F _ { M } : G \rightarrow \mathbf{C} ^ { * }$ ; confidence 0.933

291. ; $\alpha = 1 / 2$ ; confidence 0.933

292. ; $E ( a _ { 0 } , a _ { 1 } )$ ; confidence 0.933

293. ; $A \rightarrow A$ ; confidence 0.933

294. ; $\forall 1 \leq i \leq r \exists 1 \leq j \leq r : A _ { i } ^ { T } = A _ { j }$ ; confidence 0.933

295. ; $W _ { P } ( \rho )$ ; confidence 0.933

296. ; $\operatorname { deg } \alpha _ { i } = 2 i - 1$ ; confidence 0.933

297. ; $T \in \Re ( C , P )$ ; confidence 0.933

298. ; $\varphi ( \alpha , b , 3 )$ ; confidence 0.933

299. ; $GF _ { 2 }$ ; confidence 0.933

300. ; $R _ { i } \rightarrow R _ { i } R _ { j }$ ; confidence 0.933

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/NoNroff/29. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/NoNroff/29&oldid=45771

Navigation

Tools

Namespaces

Variants

Views

Actions

Difference between revisions of "User:Maximilian Janisch/latexlist/latex/NoNroff/29"

Revision as of 21:18, 7 May 2020

List

@@ Line 270: / Line 270: @@
 . https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g13006085.png ; $A = [ \alpha , j ]$ ; confidence 0.937
-. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i13003074.png ; $T ( M | B )$ ; confidence 0.937
+. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i13003074.png ; $\mathcal{T} ( M | B )$ ; confidence 0.937
 . https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b120400110.png ; $V \rightarrow H ^ { 0 } ( G / B , \xi )$ ; confidence 0.937
@@ Line 278: / Line 278: @@
 . https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520121.png ; $d _ { 1 } = \ldots = d _ { q } = 1$ ; confidence 0.936
-. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120020/h12002085.png ; $s _ { j } ( T ) = \operatorname { inf } \{ \| T - R \| : \operatorname { rank } R \leq j \} , j \geq 0$ ; confidence 0.936
+. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120020/h12002085.png ; $s _ { j } ( T ) = \operatorname { inf } \{ \| T - R \| : \operatorname { rank } R \leq j \} , j \geq 0.$ ; confidence 0.936
-. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o13001097.png ; $C = \alpha _ { 12 } - \mu _ { 0 } \beta _ { 21 } \operatorname { cos } \theta + \mu _ { 0 } \beta _ { 31 } \operatorname { sin } \theta , D = \alpha _ { 11 } + \mu _ { 0 } \beta _ { 22 } \operatorname { cos } \theta - \mu _ { 0 } \beta _ { 32 } \operatorname { sin } \theta$ ; confidence 0.936
+. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o13001097.png ; $C = \alpha _ { 12 } - \mu _ { 0 } \beta _ { 21 } \operatorname { cos } \theta + \mu _ { 0 } \beta _ { 31 } \operatorname { sin } \theta , D = \alpha _ { 11 } + \mu _ { 0 } \beta _ { 22 } \operatorname { cos } \theta - \mu _ { 0 } \beta _ { 32 } \operatorname { sin } \theta,$ ; confidence 0.936
 . https://www.encyclopediaofmath.org/legacyimages/e/e130/e130070/e13007067.png ; $f \in C ^ { k } [ N , N + M ]$ ; confidence 0.936
-. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130160/c13016085.png ; $[ n ] \neq$ ; confidence 0.936
+. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130160/c13016085.png ; $\text{NSPACE }[ n ] \neq\text{co NSPACE }[n]$ ; confidence 0.936
 . https://www.encyclopediaofmath.org/legacyimages/b/b120/b120270/b12027049.png ; $N ( t ) = \sum _ { 1 } ^ { \infty } I ( S _ { k } \leq t )$ ; confidence 0.936
-. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003077.png ; $G ( \Omega ) = E _ { M } / N$ ; confidence 0.936
+. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003077.png ; $\mathcal{G} ( \Omega ) = \epsilon _ { M } / \mathcal{N}$ ; confidence 0.936
 . https://www.encyclopediaofmath.org/legacyimages/a/a120/a120250/a12025067.png ; $q + 1$ ; confidence 0.936
@@ Line 300: / Line 300: @@
 . https://www.encyclopediaofmath.org/legacyimages/a/a011/a011480/a011480114.png ; $b _ { n }$ ; confidence 0.936
-. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j120020217.png ; $\sum | I _ { j } | \leq \frac { 1 } { \alpha } \int _ { I } | u ( \vartheta ) | d \vartheta$ ; confidence 0.936
+. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j120020217.png ; $\sum | I _ { j } | \leq \frac { 1 } { \alpha } \int _ { I } | u ( \vartheta ) | d \vartheta.$ ; confidence 0.936
-. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005087.png ; $| \prod _ { j = 1 } ^ { k } ( \lambda - A ( t _ { j } ) ) ^ { - 1 } \| _ { X } \leq M ( \lambda - \beta ) ^ { - k }$ ; confidence 0.936
+. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005087.png ; $\left| \prod _ { j = 1 } ^ { k } ( \lambda - A ( t _ { j } ) ) ^ { - 1 } \right\| _ { X } \leq M ( \lambda - \beta ) ^ { - k },$ ; confidence 0.936
 . https://www.encyclopediaofmath.org/legacyimages/s/s120/s120050/s12005067.png ; $\sum _ { i , j = 1 } ^ { n } \overline { c } _ { i } K _ { S } ( w _ { j } , w _ { i } ) c _ { j } \geq 0$ ; confidence 0.936
@@ Line 310: / Line 310: @@
 . https://www.encyclopediaofmath.org/legacyimages/w/w120/w120030/w120030138.png ; $\{ \gamma \in \Gamma _ { m } : f ( \gamma ) \neq 0 \}$ ; confidence 0.936
-. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008035.png ; $s , t \in R$ ; confidence 0.936
+. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008035.png ; $s , t \in \mathbf{R}$ ; confidence 0.936
 . https://www.encyclopediaofmath.org/legacyimages/l/l110/l110020/l11002086.png ; $y x ^ { - 1 } \in P$ ; confidence 0.936
@@ Line 320: / Line 320: @@
 . https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420154.png ; $K _ { 0 }$ ; confidence 0.936
-. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o13001044.png ; $F : L ^ { 2 } ( D ^ { \prime } ) \rightarrow L ^ { 2 } ( R ^ { 3 } )$ ; confidence 0.936
+. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o13001044.png ; $\mathcal{F} : L ^ { 2 } ( D ^ { \prime } ) \rightarrow L ^ { 2 } ( \mathbf{R} ^ { 3 } )$ ; confidence 0.936
-. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120080/t12008015.png ; $O _ { S } ^ { * }$ ; confidence 0.936
+. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120080/t12008015.png ; $\mathcal{O} _ { S } ^ { * }$ ; confidence 0.936
 . https://www.encyclopediaofmath.org/legacyimages/d/d120/d120280/d12028029.png ; $\Gamma \subset D \cap Q$ ; confidence 0.936
@@ Line 328: / Line 328: @@
 . https://www.encyclopediaofmath.org/legacyimages/b/b120/b120300/b12030087.png ; $S = - \Delta + W$ ; confidence 0.936
-. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130210/b13021050.png ; $k$ ; confidence 0.936
+. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130210/b13021050.png ; $k_b$ ; confidence 0.936
 . https://www.encyclopediaofmath.org/legacyimages/t/t093/t093560/t09356026.png ; $f ( x x ^ { * } ) < + \infty$ ; confidence 0.936
@@ Line 340: / Line 340: @@
 . https://www.encyclopediaofmath.org/legacyimages/p/p120/p120110/p12011017.png ; $C ( 10 )$ ; confidence 0.936
-. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060030/l06003061.png ; $k$ ; confidence 0.936
+. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060030/l06003061.png ; $ki$ ; confidence 0.936
-. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120140/t12014055.png ; $R ( \phi ) \subset \sigma _ { e } ( T _ { \phi } ) \subset \sigma ( T _ { \phi } ) \subset \operatorname { conv } ( R ( \phi ) )$ ; confidence 0.936
+. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120140/t12014055.png ; $\mathcal{R} ( \phi ) \subset \sigma _ { e } ( T _ { \phi } ) \subset \sigma ( T _ { \phi } ) \subset \operatorname { conv } ( \mathcal{R} ( \phi ) ).$ ; confidence 0.936
-. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130010/j1300108.png ; $Q _ { D _ { + } } - Q _ { D _ { - } } = \left\{ \begin{array} { l } { Q _ { D _ { 0 } } } \\ { z ^ { 2 } Q _ { D _ { 0 } } } \end{array} \right.$ ; confidence 0.936
+. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130010/j1300108.png ; $Q _ { D _ { + } } - Q _ { D _ { - } } = \left\{ \begin{array} { l } { Q _ { D _ { 0 } } } \text{ for a self}\square\text{ crossing}, \\ { z ^ { 2 } Q _ { D _ { 0 } } }\text{ for a mixed crossing}, \end{array} \right.$ ; confidence 0.936
 . https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240403.png ; $SS _ { e }$ ; confidence 0.936
@@ Line 350: / Line 350: @@
 . https://www.encyclopediaofmath.org/legacyimages/c/c130/c130040/c13004018.png ; $\zeta ( s , \alpha )$ ; confidence 0.936
-. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120060/i12006055.png ; $\operatorname { ldim } ( P ) = \operatorname { dim } ( C ( P ) )$ ; confidence 0.936
+. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120060/i12006055.png ; $\operatorname { ldim } ( P ) = \operatorname { dim } ( \mathcal{C} ( P ) )$ ; confidence 0.936
 . https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g120040170.png ; $1 \leq s \leq d / ( d - 1 )$ ; confidence 0.936
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120310/b12031077.png ; $S _ { R } ^ { \delta } ( x ) = f ( x )$ ; confidence 0.936
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120310/b12031077.png ; $\operatorname{lim}S _ { R } ^ { \delta } ( x ) = f ( x )$ ; confidence 0.936
 . https://www.encyclopediaofmath.org/legacyimages/c/c022/c022110/c02211059.png ; $X ^ { 2 } ( \hat { \theta } _ { n } )$ ; confidence 0.936
-. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023096.png ; $P = ( \frac { u _ { i } u _ { j } ^ { * } - v _ { i } v _ { j } ^ { * } } { 1 - f _ { i } f _ { j } ^ { * } } ) _ { i , j = 0 } ^ { n - 1 }$ ; confidence 0.936
+. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023096.png ; $P = ( \frac { u _ { i } u _ { j } ^ { * } - v _ { i } v _ { j } ^ { * } } { 1 - f _ { i } f _ { j } ^ { * } } ) _ { i , j = 0 } ^ { n - 1 },$ ; confidence 0.936
 . https://www.encyclopediaofmath.org/legacyimages/y/y120/y120010/y120010135.png ; $R ( x ) _ { 12 } R ( x y ) _ { 13 } R ( y ) _ { 23 } = R ( y ) _ { 23 } R ( x y ) _ { 13 } R ( x ) _ { 12 }$ ; confidence 0.936
-. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120080/w12008020.png ; $M ( R ^ { 2 n } )$ ; confidence 0.936
+. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120080/w12008020.png ; $\mathcal{M} ( \mathbf{R} ^ { 2 n } )$ ; confidence 0.936
 . https://www.encyclopediaofmath.org/legacyimages/a/a130/a130230/a13023042.png ; $c = \operatorname { cos } \alpha$ ; confidence 0.935
@@ Line 370: / Line 370: @@
 . https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090278.png ; $\Lambda \supseteq \Phi$ ; confidence 0.935
-. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g13002042.png ; $\notin \{ 0,1 \}$ ; confidence 0.935
+. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g13002042.png ; $\alpha \notin \{ 0,1 \}$ ; confidence 0.935
-. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f12023054.png ; $X \in X ( M )$ ; confidence 0.935
+. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f12023054.png ; $X_i \in \chi ( M )$ ; confidence 0.935
 . https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080154.png ; $1 = 3 g - 3$ ; confidence 0.935
@@ Line 378: / Line 378: @@
 . https://www.encyclopediaofmath.org/legacyimages/a/a013/a013710/a01371012.png ; $K = 0$ ; confidence 0.935
-. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120010/j12001029.png ; $F ( i )$ ; confidence 0.935
+. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120010/j12001029.png ; $F_{ ( i )}$ ; confidence 0.935
-. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130140/p13014051.png ; $\operatorname { lim } _ { \rho \rightarrow 0 } [ f ( x _ { 0 } + \gamma \rho n _ { 0 } ) - f _ { \rho } ^ { C } ( x _ { 0 } + \gamma \rho n _ { 0 } ) ] = D ( x _ { 0 } ) \psi ( \gamma )$ ; confidence 0.935
+. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130140/p13014051.png ; $\operatorname { lim } _ { \rho \rightarrow 0 } [ f ( x _ { 0 } + \gamma \rho n _ { 0 } ) - f _ { \rho } ^ { C } ( x _ { 0 } + \gamma \rho n _ { 0 } ) ] = D ( x _ { 0 } ) \psi ( \gamma ),$ ; confidence 0.935
-. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007059.png ; $< x \operatorname { exp } ( - \frac { 1 } { 25 } ( \operatorname { log } x \operatorname { log } \operatorname { log } x ) ^ { 1 / 2 } )$ ; confidence 0.935
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007059.png ; $< x \operatorname { exp } ( - \frac { 1 } { 25 } ( \operatorname { log } x \operatorname { log } \operatorname { log } x ) ^ { 1 / 2 } ).$ ; confidence 0.935
 . https://www.encyclopediaofmath.org/legacyimages/c/c120/c120290/c12029016.png ; $F \rightarrow E \rightarrow B$ ; confidence 0.935
@@ Line 388: / Line 388: @@
 . https://www.encyclopediaofmath.org/legacyimages/k/k130/k130060/k13006023.png ; $1 \leq m \leq \left( \begin{array} { l } { n } \\ { k } \end{array} \right)$ ; confidence 0.935
-. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130170/d13017034.png ; $\lambda _ { k } \approx \frac { 4 \pi ^ { 2 } k ^ { 2 / n } } { ( C _ { n } | \Omega | ) ^ { 2 / n } }$ ; confidence 0.935
+. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130170/d13017034.png ; $\lambda _ { k } \approx \frac { 4 \pi ^ { 2 } k ^ { 2 / n } } { ( C _ { n } | \Omega | ) ^ { 2 / n } },$ ; confidence 0.935
 . https://www.encyclopediaofmath.org/legacyimages/b/b130/b130020/b1300205.png ; $x \circ y : = ( x y + y x ) / 2$ ; confidence 0.935
-. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t13005072.png ; $D _ { A } = \left( \begin{array} { c c c c } { 0 } & { 0 } & { 0 } & { 0 } \\ { A _ { 1 } } & { 0 } & { 0 } & { 0 } \\ { A _ { 2 } } & { 0 } & { 0 } & { 0 } \\ { 0 } & { - A _ { 2 } } & { A _ { 1 } } & { 0 } \end{array} \right)$ ; confidence 0.935
+. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t13005072.png ; $D _ { A } = \left( \begin{array} { c c c c } { 0 } & { 0 } & { 0 } & { 0 } \\ { A _ { 1 } } & { 0 } & { 0 } & { 0 } \\ { A _ { 2 } } & { 0 } & { 0 } & { 0 } \\ { 0 } & { - A _ { 2 } } & { A _ { 1 } } & { 0 } \end{array} \right),$ ; confidence 0.935
 . https://www.encyclopediaofmath.org/legacyimages/v/v130/v130070/v13007060.png ; $\theta ( 1 ) = - \pi / 2$ ; confidence 0.935
@@ Line 406: / Line 406: @@
 . https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180319.png ; $S ( g )$ ; confidence 0.935
-. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130150/c1301504.png ; $C ^ { \infty } ( D ( \Omega ) )$ ; confidence 0.935
+. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130150/c1301504.png ; $\mathcal{C} ^ { \infty } ( \mathcal{D} ( \Omega ) )$ ; confidence 0.935
-. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130070/i13007034.png ; $q ( x ) \in L ^ { 2 } ( R ^ { 3 } )$ ; confidence 0.935
+. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130070/i13007034.png ; $q ( x ) \in L ^ { 2 } ( \mathbf{R} ^ { 3 } )$ ; confidence 0.935
-. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130110/d13011037.png ; $C = C _ { 0 } \oplus C _ { 1 }$ ; confidence 0.935
+. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130110/d13011037.png ; $C = C _ { 0 } \oplus C _ { 1 },$ ; confidence 0.935
-. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006019.png ; $P$ ; confidence 0.935
+. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006019.png ; $Pl$ ; confidence 0.935
-. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130010/s1300104.png ; $a , b \in Z$ ; confidence 0.935
+. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130010/s1300104.png ; $a , b \in \mathbf{Z}$ ; confidence 0.935
 . https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024059.png ; $( i , j )$ ; confidence 0.935
@@ Line 424: / Line 424: @@
 . https://www.encyclopediaofmath.org/legacyimages/b/b120/b120240/b12024010.png ; $D _ { + }$ ; confidence 0.935
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120010/b12001034.png ; $\frac { \partial v } { \partial t } = - \frac { \partial ^ { 2 } u } { \partial x ^ { 2 } } - 2 ( v \frac { \partial u } { \partial x } + u \frac { \partial v } { \partial x } )$ ; confidence 0.935
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120010/b12001034.png ; $\frac { \partial v } { \partial t } = - \frac { \partial ^ { 2 } u } { \partial x ^ { 2 } } - 2 ( v \frac { \partial u } { \partial x } + u \frac { \partial v } { \partial x } ).$ ; confidence 0.935
 . https://www.encyclopediaofmath.org/legacyimages/c/c120/c120290/c12029038.png ; $X \rightarrow B ( \mu )$ ; confidence 0.935
-. https://www.encyclopediaofmath.org/legacyimages/y/y120/y120040/y12004020.png ; $\operatorname { inf } _ { \nu \in A } T ( \nu )$ ; confidence 0.935
+. https://www.encyclopediaofmath.org/legacyimages/y/y120/y120040/y12004020.png ; $\operatorname { inf } _ { \nu \in \tilde{A} } \tilde{I} ( \nu ).$ ; confidence 0.935
 . https://www.encyclopediaofmath.org/legacyimages/h/h120/h120040/h12004021.png ; $\xi < \eta < \kappa$ ; confidence 0.935
-. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018021.png ; $20$ ; confidence 0.935
+. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018021.png ; $z_0$ ; confidence 0.935
-. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130060/w13006024.png ; $1 \overline { \partial }$ ; confidence 0.935
+. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130060/w13006024.png ; $\operatorname{det} \; \operatorname{ind} \overline { \partial }$ ; confidence 0.935
 . https://www.encyclopediaofmath.org/legacyimages/e/e120/e120150/e12015013.png ; $( A )$ ; confidence 0.935
@@ Line 460: / Line 460: @@
 . https://www.encyclopediaofmath.org/legacyimages/d/d130/d130080/d130080135.png ; $F ^ { \prime } ( c )$ ; confidence 0.934
-. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120230/a12023067.png ; $S _ { j }$ ; confidence 0.934
+. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120230/a12023067.png ; $s _ { j }$ ; confidence 0.934
 . https://www.encyclopediaofmath.org/legacyimages/m/m130/m130230/m13023035.png ; $v = v _ { 1 } + v _ { 2 }$ ; confidence 0.934
@@ Line 472: / Line 472: @@
 . https://www.encyclopediaofmath.org/legacyimages/q/q120/q120010/q12001066.png ; $J \pi ( g ) = \pi ( \tau ( g ) ) J$ ; confidence 0.934
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120340/b12034060.png ; $\sum _ { 0 } ^ { \infty } | f _ { n } | \operatorname { sup } _ { U } | \varphi _ { n } ( z ) | \leq \operatorname { sup } _ { K } | f ( z ) |$ ; confidence 0.934
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120340/b12034060.png ; $\sum _ { 0 } ^ { \infty } | f _ { n } | \operatorname { sup } _ { U } | \varphi _ { n } ( z ) | \leq \operatorname { sup } _ { K } | f ( z ) |.$ ; confidence 0.934
 . https://www.encyclopediaofmath.org/legacyimages/b/b120/b120490/b12049019.png ; $E \in \Sigma$ ; confidence 0.934
@@ Line 480: / Line 480: @@
 . https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054078.png ; $\{ \alpha , b \} _ { p } = ( - 1 ) ^ { \alpha \beta } r ^ { \beta } s ^ { \alpha }$ ; confidence 0.934
-. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120250/a120250106.png ; $PG ( 2 , q )$ ; confidence 0.934
+. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120250/a120250106.png ; $PG ( 2 , q ),$ ; confidence 0.934
 . https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b12021099.png ; $B _ { k } = M _ { 1 } \supset \ldots \supset M _ { s } = 0$ ; confidence 0.934
-. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130060/v13006023.png ; $( N )$ ; confidence 0.934
+. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130060/v13006023.png ; $SU( N )$ ; confidence 0.934
-. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120100/k12010045.png ; $A = A _ { 0 } \oplus A _ { 1 } \oplus \ldots$ ; confidence 0.934
+. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120100/k12010045.png ; $\mathcal{A} = \mathcal{A} _ { 0 } \oplus \mathcal{A} _ { 1 } \oplus \ldots$ ; confidence 0.934
 . https://www.encyclopediaofmath.org/legacyimages/m/m110/m110110/m11011014.png ; $+ i \infty$ ; confidence 0.934
-. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120300/d1203009.png ; $Y ( t ) \in R ^ { m }$ ; confidence 0.934
+. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120300/d1203009.png ; $Y ( t ) \in \mathbf{R} ^ { m }$ ; confidence 0.934
 . https://www.encyclopediaofmath.org/legacyimages/c/c120/c120310/c1203103.png ; $x _ { i } \in [ 0,1 ] ^ { d }$ ; confidence 0.934
@@ Line 496: / Line 496: @@
 . https://www.encyclopediaofmath.org/legacyimages/b/b015/b015010/b01501021.png ; $\{ B _ { r } , \phi _ { r } , g _ { r } \}$ ; confidence 0.934
-. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130150/c13015032.png ; $E _ { M } ( D ( \Omega ) ) / N ( D ( \Omega ) )$ ; confidence 0.934
+. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130150/c13015032.png ; $\epsilon _ { M } ( \mathcal{D} ( \Omega ) ) / \mathcal{N} ( \mathcal{D} ( \Omega ) )$ ; confidence 0.934
 . https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024032.png ; $m \times p$ ; confidence 0.934
@@ Line 504: / Line 504: @@
 . https://www.encyclopediaofmath.org/legacyimages/f/f130/f130120/f13012031.png ; $h ( G ) \leq h ( C _ { G } ( A ) ) + 2 l ( A )$ ; confidence 0.934
-. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450163.png ; $( X )$ ; confidence 0.934
+. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450163.png ; $\operatorname{Aut}( X )$ ; confidence 0.934
 . https://www.encyclopediaofmath.org/legacyimages/l/l120/l120190/l12019036.png ; $V = x ^ { * } P x$ ; confidence 0.934
@@ Line 510: / Line 510: @@
 . https://www.encyclopediaofmath.org/legacyimages/c/c120/c120020/c12002022.png ; $\int _ { \epsilon } ^ { \rho }$ ; confidence 0.934
-. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120110/e12011033.png ; $\frac { \partial q f } { \partial t } + \nabla J = 0$ ; confidence 0.934
+. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120110/e12011033.png ; $\frac { \partial q f } { \partial t } + \nabla \mathbf{J} = 0.$ ; confidence 0.934
 . https://www.encyclopediaofmath.org/legacyimages/j/j120/j120010/j1200109.png ; $\operatorname { deg } F = \operatorname { max } _ { i } \operatorname { deg } F _ { i } \leq 2$ ; confidence 0.934
@@ Line 526: / Line 526: @@
 . https://www.encyclopediaofmath.org/legacyimages/j/j130/j130070/j13007066.png ; $\angle \operatorname { lim } _ { z \rightarrow \omega } F ( z ) = \eta \in \partial \Delta$ ; confidence 0.934
-. https://www.encyclopediaofmath.org/legacyimages/o/o120/o120020/o12002012.png ; $L _ { 2 } ( R ; \omega ( \tau ) )$ ; confidence 0.934
+. https://www.encyclopediaofmath.org/legacyimages/o/o120/o120020/o12002012.png ; $L _ { 2 } ( \mathbf{R} ; \omega ( \tau ) )$ ; confidence 0.934
 . https://www.encyclopediaofmath.org/legacyimages/c/c020/c020990/c02099038.png ; $x \in ( a , b )$ ; confidence 0.934
-. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080152.png ; $\mu = \mu ( z , z ) \partial _ { z } \otimes d z$ ; confidence 0.934
+. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080152.png ; $\mu = \mu ( z , \bar{z} ) \partial _ { \bar{z} } \otimes d \bar{z}$ ; confidence 0.934
 . https://www.encyclopediaofmath.org/legacyimages/w/w120/w120100/w12010026.png ; $\{ \square _ { j k } ^ { i } \}$ ; confidence 0.934
-. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z13011059.png ; $R _ { n } ( x ) = \frac { G _ { p , n } ( x ) } { \int _ { 0 } ^ { \infty } ( 1 - e ^ { - z } ) G _ { p , n } ( d z ) }$ ; confidence 0.934
+. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z13011059.png ; $R _ { n } ( x ) = \frac { G _ { p , n } ( x ) } { \int _ { 0 } ^ { \infty } ( 1 - e ^ { - z } ) G _ { p , n } ( d z ) },$ ; confidence 0.934
-. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043770/g043770138.png ; $w$ ; confidence 0.933
+. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043770/g043770138.png ; $w_j$ ; confidence 0.933
 . https://www.encyclopediaofmath.org/legacyimages/p/p120/p120110/p1201106.png ; $C ( n )$ ; confidence 0.933
-. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110570/b11057025.png ; $R ^ { 2 x }$ ; confidence 0.933
+. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110570/b11057025.png ; $\mathbf{R} ^ { 2 x }$ ; confidence 0.933
 . https://www.encyclopediaofmath.org/legacyimages/b/b120/b120310/b12031070.png ; $\delta > ( n - 1 ) | 1 / 2 - 1 / p |$ ; confidence 0.933
-. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040798.png ; $f : A \rightarrow C$ ; confidence 0.933
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040798.png ; $f : A \twoheadrightarrow C$ ; confidence 0.933
 . https://www.encyclopediaofmath.org/legacyimages/f/f130/f130240/f13024018.png ; $K ( a , b ) \equiv 0$ ; confidence 0.933
@@ Line 554: / Line 554: @@
 . https://www.encyclopediaofmath.org/legacyimages/b/b015/b015020/b01502010.png ; $\operatorname { Ext } ( A , B )$ ; confidence 0.933
-. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094080/t09408021.png ; $\Omega ( X ; A , B ) = \{ p : [ 0,1 ] \rightarrow X : p ( 0 ) \in A , p ( 1 ) \in B \}$ ; confidence 0.933
+. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094080/t09408021.png ; $\Omega ( X ; A , B ) = \{ p : [ 0,1 ] \rightarrow X : p ( 0 ) \in A , p ( 1 ) \in B \}.$ ; confidence 0.933
 . https://www.encyclopediaofmath.org/legacyimages/h/h120/h120020/h12002078.png ; $\{ f \in H ^ { \infty } : \| \phi - f \| _ { L } \infty \leq \rho \}$ ; confidence 0.933
-. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s120320137.png ; $= \sum$ ; confidence 0.933
+. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s120320137.png ; $B_{M\otimes N}(m\otimes n= \sum b_i n \otimes a_i m $ ; confidence 0.933
 . https://www.encyclopediaofmath.org/legacyimages/c/c026/c026790/c026790150.png ; $\Delta j$ ; confidence 0.933
@@ Line 564: / Line 564: @@
 . https://www.encyclopediaofmath.org/legacyimages/v/v096/v096910/v09691023.png ; $h ( T _ { t } x )$ ; confidence 0.933
-. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120030/t12003013.png ; $\mu ( z ) = k \frac { \overline { \varphi } ( z ) } { | \varphi ( z ) | } , 0 < k < 1$ ; confidence 0.933
+. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120030/t12003013.png ; $\mu ( z ) = k \frac { \overline { \varphi } ( z ) } { | \varphi ( z ) | } , 0 < k < 1,$ ; confidence 0.933
-. https://www.encyclopediaofmath.org/legacyimages/n/n130/n130060/n1300607.png ; $\frac { \partial u } { \partial n } = 0 \text { in } \partial \Omega$ ; confidence 0.933
+. https://www.encyclopediaofmath.org/legacyimages/n/n130/n130060/n1300607.png ; $\frac { \partial u } { \partial n } = 0 \text { in } \partial \Omega,$ ; confidence 0.933
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120100/b12010028.png ; $\frac { d } { d t } G ( t ) = L G ( t ) + [ L , A ^ { * } ] G ( t )$ ; confidence 0.933
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120100/b12010028.png ; $\frac { d } { d t } G ( t ) = \mathcal{L} G ( t ) + [ \mathcal{L} , \mathcal{A} ^ { * } ] G ( t ),$ ; confidence 0.933
 . https://www.encyclopediaofmath.org/legacyimages/f/f120/f120160/f1201603.png ; $X T - I$ ; confidence 0.933
-. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e1201201.png ; $\theta ^ { * } = \operatorname { arg } \operatorname { max } _ { \theta \in \Theta } \int f ( \theta , \phi ) d \phi$ ; confidence 0.933
+. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e1201201.png ; $\theta ^ { * } = \operatorname { arg } \operatorname { max } _ { \theta \in \Theta } \int f ( \theta , \phi ) d \phi,$ ; confidence 0.933
 . https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j13004047.png ; $K _ { 1 } \# K _ { 2 }$ ; confidence 0.933
@@ Line 578: / Line 578: @@
 . https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013054.png ; $t _ { n }$ ; confidence 0.933
-. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120030/k12003036.png ; $F _ { M } : G \rightarrow C ^ { * }$ ; confidence 0.933
+. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120030/k12003036.png ; $F _ { M } : G \rightarrow \mathbf{C} ^ { * }$ ; confidence 0.933
 . https://www.encyclopediaofmath.org/legacyimages/o/o120/o120020/o1200204.png ; $\alpha = 1 / 2$ ; confidence 0.933