Difference between revisions of "User:Maximilian Janisch/latexlist/latex/NoNroff/44"

Latest revision as of 14:10, 10 May 2020

List

1. ; $2 l$ ; confidence 0.747

2. ; $P _ { \alpha }$ ; confidence 0.747

3. ; $\| y \| = \| v \|$ ; confidence 0.747

4. ; $G _ { r_ i } ( A )$ ; confidence 0.747

5. ; $N / 2$ ; confidence 0.747

6. ; $s = t,$ ; confidence 0.747

7. ; $\psi \in L ^ { 2 } ( \mathbf{R} )$ ; confidence 0.747

8. ; $0 \rightarrow P _ { 1 } \rightarrow P _ { 0 } \rightarrow X \rightarrow 0$ ; confidence 0.747

9. ; $B ( . )$ ; confidence 0.747

10. ; $v = v ^ { \prime } + \sum_j r_j v_j$ ; confidence 0.747

11. ; $L _ { E } ( z ) = \operatorname { sup } \{ v ( z ) : v \in \mathcal{L} , v \leq 0 \text { on } E \}.$ ; confidence 0.747

12. ; $D T_j^i =$ ; confidence 0.747

13. ; $\operatorname { Im } h ^ { I I } ( z )$ ; confidence 0.747

14. ; $\mathfrak { g } ( A )$ ; confidence 0.746

15. ; $\overline { \Sigma } \square ^ { i } ( f ) = \bigcup _ { h \geq i } \Sigma ^ { i } ( f ).$ ; confidence 0.746

16. ; $x \in \mathfrak{H}$ ; confidence 0.746

17. ; $\operatorname{Hom}_\Lambda ( T , . )$ ; confidence 0.746

18. ; $\sigma \in ( 1 / 2 ) \mathbf{Z}$ ; confidence 0.746

19. ; $\gamma_2$ ; confidence 0.746

20. ; $B \in \mathcal{A}$ ; confidence 0.746

21. ; $\varphi _ { 1 } , \dots , \varphi _ { k - 1 } \in H ^ { 1 } ( \Omega )$ ; confidence 0.746

22. ; $\| x ^ { \prime } \| _ { X ^ { \prime } } = \operatorname { sup } \{ \int _ { \Omega } | x x ^ { \prime } | d \mu : \| x \| _ { X } \leq 1 \}.$ ; confidence 0.746

23. ; $\mu_0$ ; confidence 0.746

24. ; $\operatorname{mult}\alpha = \dim \mathfrak{g}^\alpha$ ; confidence 0.746

25. ; $W _ { \epsilon }$ ; confidence 0.746

26. ; $\zeta ( 5 )$ ; confidence 0.746

27. ; $X = M ( A ) \bigoplus _ { Q ( A ) } B =$ ; confidence 0.746

28. ; $\varphi _ { 1 } , \dots , \varphi _ { k - 1 } \in H _ { 0 } ^ { 1 } ( \Omega )$ ; confidence 0.746

29. ; $x = x_0$ ; confidence 0.746

30. ; $t ( k , r ) = \operatorname { lim } _ { n \rightarrow \infty } \frac { T ( n , k , r ) } { \left( \begin{array} { l } { n } \\ { r } \end{array} \right) }$ ; confidence 0.746

31. ; $\tilde { \Omega }F$ ; confidence 0.746

32. ; $f , g : \mathbf{R} ^ { n } \rightarrow M$ ; confidence 0.745

33. ; $G F = \operatorname {id}_X$ ; confidence 0.745

34. ; $\theta _ { n - 1} $ ; confidence 0.745

35. ; $F _ { \tau }$ ; confidence 0.745

36. ; $C ^ { t } [ G _ { \text { inn } } ]$ ; confidence 0.745

37. ; $1 , \ldots , n _ { 1 }$ ; confidence 0.745

38. ; $\beta \in B$ ; confidence 0.745

39. ; $ \operatorname {Cl} _ { 2 } ( z ) : = - \int _ { 0 } ^ { z } \operatorname { log } \left| 2 \operatorname { sin } \left( \frac { 1 } { 2 } t \right) \right| d t =$ ; confidence 0.745

40. ; $\mathbf{f} \in R ( t ) ^ { l }$ ; confidence 0.745

41. ; $H _ { \mathbf{R} }$ ; confidence 0.745

42. ; $u [ 1 ] = u + 2 \sigma _ { x }.$ ; confidence 0.745

43. ; $\sigma _ { T } ( A , \mathcal{X} / \mathcal{Y} )$ ; confidence 0.745

44. ; $\Delta _ { n } ( \theta )$ ; confidence 0.745

45. ; $A ( t ) u = L ( . , t , D _ { x } ) u\text { for } u \in D ( A ( t ) ).$ ; confidence 0.745

46. ; $u ( x ) = - \int _ { K } E _ { n } ( | x - y | ) d \mu ( y ) + h ( x ),$ ; confidence 0.745

47. ; $P _ { n } : Y \rightarrow X_n$ ; confidence 0.745

48. ; $\operatorname { Fun } _ { q } ( G / H )$ ; confidence 0.745

49. ; $\xi _ { r } ^ { 0 }$ ; confidence 0.745

50. ; $s = ( m - 1 , m - 2 , \dots , 1,0 )$ ; confidence 0.745

51. ; $b \uparrow \infty$ ; confidence 0.745

52. ; $V _ { \xi } \subset_{*} V _ { \eta }$ ; confidence 0.745

53. ; $( a \circ \chi ) ^ { w } = M ^ { * } a ^ { w } M.$ ; confidence 0.745

54. ; $B = \tau _ { V , V } R$ ; confidence 0.744

55. ; $( A + \Delta A ) \hat{x} = b$ ; confidence 0.744

56. ; $\operatorname{FFi} _ { \mathcal{D} } \mathbf{A}$ ; confidence 0.744

57. ; $\hat { \theta } _ { N }$ ; confidence 0.744

58. ; $\operatorname{Gal}( K / k ) \cong \mathbf{Z} _ { p }$ ; confidence 0.744

59. ; $\square ^ { 1 } S _ { 2 }$ ; confidence 0.744

60. ; $P = 0$ ; confidence 0.744

61. ; $\nabla \times \mathbf{E} = \mathbf{O} , \nabla .\mathbf{D} = q _ { f };$ ; confidence 0.744

62. ; $P _ { n } ( x ) = U _ { n } ( x )$ ; confidence 0.744

63. ; $B O _ { n } = \operatorname { lim } _ { r \rightarrow \infty } \operatorname { inf } \operatorname { Gras } _ { n } ( \mathbf{R} ^ { r + n } )$ ; confidence 0.744

64. ; $\tilde{h}$ ; confidence 0.744

65. ; $A \geq 0$ ; confidence 0.744

66. ; $A _ { \varepsilon } = \{ x : \{ x \} \times Y \subset O _ { \varepsilon } \}$ ; confidence 0.744

67. ; $f ( z ) = \sum _ { n = 0 } ^ { \infty } c ( n ) e ^ { 2 \pi i n z }.$ ; confidence 0.744

68. ; $\downarrow \forall x \exists y \forall w ( w \in y \leftrightarrow \exists v ( v \in x \bigwedge \varphi ) ).$ ; confidence 0.744

69. ; $\{ p _ { 0 } , \dots , p _ { m } \}$ ; confidence 0.743

70. ; $\mu _ { R } ( M ) \leq \operatorname { max } \{ \mu ( M , P ) : P \in \operatorname { Spec } ( R ) \} + \operatorname { Kdim } ( R ).$ ; confidence 0.743

71. ; $\delta _ { A , B } ( X ) \in \mathcal{C} _ { 2 }$ ; confidence 0.743

72. ; $K ( L ( a , b ) c , d ) + K ( c , L ( a , b ) d ) + K ( a , K ( c , d ) b ) = 0,$ ; confidence 0.743

73. ; $[ g _ { i } ] : Y \rightarrow P _ { i }$ ; confidence 0.743

74. ; $\lambda _ { s } > \operatorname { max } \{ \lambda _ { s +1 } ,1 \}$ ; confidence 0.743

75. ; $1 \in A$ ; confidence 0.743

76. ; $\Phi ( M ) \in \operatorname{Wh} ( \pi _ { 1 } ( M ) )$ ; confidence 0.743

77. ; $\operatorname{WF} ( B f ) = \operatorname{WF} ( f )$ ; confidence 0.743

78. ; $\Delta \subset \mathfrak { h } ^ { * }$ ; confidence 0.743

79. ; $e _ { i } ^ { p } = 0$ ; confidence 0.743

80. ; $\{ e _ { 2 } ^ { j } \}$ ; confidence 0.743

81. ; $\nu \geq 2$ ; confidence 0.743

82. ; $d s$ ; confidence 0.743

83. ; $= \frac { \mathsf{E} \int _ { 0 } ^ { T _ { 1 } } h ( Z ( u ) ) d u } { \mathsf{E} ( T _ { 1 } ) }.$ ; confidence 0.743

84. ; $ \mathsf{E} ( Y ) = 0$ ; confidence 0.743

85. ; $i \gg 1$ ; confidence 0.743

86. ; $x _ { i j } ( a )$ ; confidence 0.743

87. ; $R _ { j } = \{ k : I _ { k } ( T _ { j } - ) = 1 \}$ ; confidence 0.742

88. ; $L > 0$ ; confidence 0.742

89. ; $\operatorname{GL} ( n )$ ; confidence 0.742

90. ; $R _ { - } ( x ) : = - \frac { 1 } { 2 \pi } \int _ { - \infty } ^ { \infty } r _ { + } ( - k ) \frac { a ( - k ) } { a ( k ) } e ^ { - i k x } d k$ ; confidence 0.742

91. ; $M \leq \operatorname { cr } ( D _ { L } ) - s ( D _ { L } ) + 1$ ; confidence 0.742

92. ; $\lambda / r$ ; confidence 0.742

93. ; $a _ { i - 1 } = \lfloor \frac { m _ { i - 1 } } { m _ { i } } \rfloor ,$ ; confidence 0.742

94. ; $ \mathsf{K} _ { 0 }$ ; confidence 0.742

95. ; $\rightarrow \operatorname{Hom}_{\mathbf{Z}} ( K _ { 1 } ( A ) , \mathbf{Z} ) \rightarrow 0.$ ; confidence 0.742

96. ; $x _ { n } \neq b$ ; confidence 0.742

97. ; $I$ ; confidence 0.742

98. ; $T _ { e } = j - 744$ ; confidence 0.742

99. ; $\prod _ { j = 0 } ^ { n - 2 } ( I - w _ { j } v _ { j } ^ { T } ) B _ { 0 } ^ { - 1 } F ( x _ { n } )$ ; confidence 0.742

100. ; $\delta _ { x }$ ; confidence 0.742

101. ; $\lambda \approx 0.2$ ; confidence 0.742

102. ; $N \leq Z$ ; confidence 0.742

103. ; $t _ { 0 } \in \Gamma$ ; confidence 0.742

104. ; $\frac { d ^ { 2 x ^ { i } } } { d t ^ { 2 } } + \gamma ^ { i_{ j k} } ( x ) \frac { d x ^ { j } } { d t } \frac { d x ^ { k } } { d t } = \lambda _ { ( i ) } \frac { d x ^ { i } } { d t },$ ; confidence 0.742

105. ; $( \mathbf{R} _ { d } , + )$ ; confidence 0.742

106. ; $\mathcal{A} \sim ( A , \overline { A } )$ ; confidence 0.742

107. ; $\tau T _ { n } ^ { * } ( x )$ ; confidence 0.742

108. ; $G_n$ ; confidence 0.742

109. ; $\Delta ^ { \circ } = \{ x : \langle x , \eta \rangle \geq 0 \text { for all } \eta \in \Delta \}$ ; confidence 0.741

110. ; $\tau : a \mapsto a , b \mapsto b ^ { - 1 },$ ; confidence 0.741

111. ; $\geq | z _ { h_2 } + 1 | \geq \ldots \geq | z _ { n } |.$ ; confidence 0.741

112. ; $\{ l _ { 1 } , l _ { 2 } \}$ ; confidence 0.741

113. ; $\mathsf{E} \xi _ { k } ^ { 2 } = \sigma ^ { 2 } > 0$ ; confidence 0.741

114. ; $\langle \dot { y } , f \rangle$ ; confidence 0.741

115. ; $L _ { m , n } a _ { n } = f _ { m }$ ; confidence 0.741

116. ; $0 \leq t \leq T$ ; confidence 0.741

117. ; $f _ { \pm }$ ; confidence 0.741

118. ; $f _ { A } ( x + h ) = f ( x ) + \sum _ { | \alpha | \geq 1 } \frac { 1 } { \alpha ! } \frac { \partial ^ { | \alpha | } f } { \partial x ^ { \alpha } } | _ { x } h ^ { \alpha },$ ; confidence 0.741

119. ; $L _ { w }$ ; confidence 0.741

120. ; $y ^ { \prime } = f ( t , y ) , y ( t _ { 0 } ) = y _ { 0 } , t \in [ t _ { 0 } , t _ { e } ],$ ; confidence 0.741

121. ; $y _ { n } = f ( q _ { m } )$ ; confidence 0.741

122. ; $C = \mathbf{Z} ( R ) = \mathbf{C} _ { Q } ( R )$ ; confidence 0.741

123. ; $f J ^ { \circ_E}$ ; confidence 0.741

124. ; $\Lambda \equiv ( \lambda _ { 1 } , \dots , \lambda _ { n } ) \neq 0$ ; confidence 0.741

125. ; $d \Omega _ { n } \sim d ( \lambda ^ { n } ) + \ldots$ ; confidence 0.740

126. ; $w ( t ) = 2 t 1 r 213$ ; confidence 0.740

127. ; $q \in \overline { A \cup p }$ ; confidence 0.740

128. ; $d \zeta / \zeta = d \zeta _ { 2 } / \zeta _ { 2 } \wedge \ldots \wedge d \zeta _ { n } / \zeta _ { n }$ ; confidence 0.740

129. ; $x \in G \backslash N$ ; confidence 0.740

130. ; $\{ a _ { n } ^ { * } \}$ ; confidence 0.740

131. ; $\kappa_i$ ; confidence 0.740

132. ; $( \phi , e ^ { - i H t } \phi )$ ; confidence 0.740

133. ; $m_j$ ; confidence 0.740

134. ; $L _ { \mu } ( \theta ) = \int _ { E } \operatorname { exp } \langle \theta , x \rangle \mu ( d x )$ ; confidence 0.740

135. ; $h ( G ) \leq \text{l} ( A )$ ; confidence 0.740

136. ; $\mathbf{Y}$ ; confidence 0.740

137. ; $\rho ( x )$ ; confidence 0.740

138. ; $\geq 1$ ; confidence 0.740

139. ; $A _ { j } \cap B = \emptyset$ ; confidence 0.740

140. ; $L ( \theta | Y _ { \text{obs} } )$ ; confidence 0.740

141. ; $R \# U ( L )$ ; confidence 0.740

142. ; $a ( Y )$ ; confidence 0.740

143. ; $\mathcal{U} _ { p }$ ; confidence 0.740

144. ; $\operatorname{SU} ( n )$ ; confidence 0.740

145. ; $\| \mathcal{S} \| : = \int _ { 0 } ^ { \infty } ( 1 + x ) | F ^ { \prime } ( x ) | d x$ ; confidence 0.740

146. ; $z \in E ^ { * * }$ ; confidence 0.739

147. ; $\partial f ( x ) : = \{ \zeta : f ^ { \circ } ( x ; v ) \geq \langle \zeta , v \rangle , \forall v \in X \},$ ; confidence 0.739

148. ; $( F f ) ( z ) = \sum _ { j = 1 } ^ { n } z_j \frac { \partial f ( z ) } { \partial z _ { j } }.$ ; confidence 0.739

149. ; $\lambda _ { p } ( K / k ) > 0$ ; confidence 0.739

150. ; $Q _ { \text{l} } ( R ) = R$ ; confidence 0.739

151. ; $R = I$ ; confidence 0.739

152. ; $F = X + F _ { ( 2 ) } + \ldots + F _ { ( d ) }$ ; confidence 0.739

153. ; $\int _ { \mathbf{R} } d \mu ( t ) = 1$ ; confidence 0.739

154. ; $f ^ { \prime } ( z _ { 0 } , z _ { 0 } ) = 1$ ; confidence 0.739

155. ; $\operatorname{Sh}$ ; confidence 0.739

156. ; $\{ ( x _ { i } , y _ { i } ) \} _ { i = 1 } ^ { n }$ ; confidence 0.739

157. ; $\int _ { - \infty } ^ { \infty } ( G _ { b } ^ { \alpha } f ) ( \omega ) d b = \hat { f } ( \omega ),$ ; confidence 0.739

158. ; $T _ { n } ( x ) = \operatorname { cos } ( n \operatorname { cos } ^ { - 1 } x )$ ; confidence 0.739

159. ; $q \in L _ { 1 , 1} $ ; confidence 0.739

160. ; $P _ { \pm }$ ; confidence 0.739

161. ; $\xi _ { i }(.)$ ; confidence 0.739

162. ; $X _ { j _ { 1 } } , \dots , X _ { j _ { k } }$ ; confidence 0.738

163. ; $\mathbf{J}$ ; confidence 0.738

164. ; $\operatorname{SL} _ { 2 } ( \mathbf{Z} )$ ; confidence 0.738

165. ; $( 0 , q )$ ; confidence 0.738

166. ; $u _ { 1 } \in V$ ; confidence 0.738

167. ; $\operatorname{St} _ { q }$ ; confidence 0.738

168. ; $\overline { H } \square _ { c } ^ { * }$ ; confidence 0.738

169. ; $( P _ { b } )$ ; confidence 0.738

170. ; $\mathbf{B}$ ; confidence 0.738

171. ; $K$ ; confidence 0.738

172. ; $\Gamma$ ; confidence 0.738

173. ; $F _ { A } = * D _ { A } \phi$ ; confidence 0.738

174. ; $| u ( y ) | = \left| \sum _ { j = 1 } ^ { \infty } \lambda _ { j } ^ { 1 / 2 } v _ { j } \varphi _ { j } ( x ) \right| < c \Lambda \| v \| _ { 0 } = c \Lambda \| u \| _ { + },$ ; confidence 0.738

175. ; $d \alpha = d \alpha'$ ; confidence 0.738

176. ; $\sigma _ { \text{r} }$ ; confidence 0.738

177. ; $( - \infty , - g ( t ) ]$ ; confidence 0.738

178. ; $\mathcal{A} ^ { \prime \prime }$ ; confidence 0.738

179. ; $\frac { \partial A } { \partial \tau } = A + ( 1 + i a ) \frac { \partial ^ { 2 } A } { \partial \xi ^ { 2 } } - ( 1 + i b ) A | A | ^ { 2 },$ ; confidence 0.737

180. ; $f _ { m } = ( f , \phi _ { m } )$ ; confidence 0.737

181. ; $f ( x ) = \operatorname { lim } _ { N \rightarrow \infty } \frac { 4 } { \pi ^ { 2 } } \int _ { 0 } ^ { N } \operatorname { cosh } ( \pi \tau ) \operatorname { Re } K _ { 1 / 2 + i \tau } ( x ) F ( \tau ) d \tau,$ ; confidence 0.737

182. ; $v \in H ^ { 1 } ( \Omega )$ ; confidence 0.737

183. ; $\{ U _ { n } , V _ { n } \} _ { n = 1 } ^ { \infty }$ ; confidence 0.737

184. ; $\tilde{x} ^ { ( k ) }$ ; confidence 0.737

185. ; $\mathcal{B} _ { i } \rightarrow \mathcal{B} _ { i +1} $ ; confidence 0.737

186. ; $\operatorname { lim } \mathfrak { g } ^ { \alpha } = 1$ ; confidence 0.737

187. ; $x \in G$ ; confidence 0.737

188. ; $1 \leq m \leq n$ ; confidence 0.737

189. ; $c : V ^ { f } \rightarrow J$ ; confidence 0.737

190. ; $G _ { g }$ ; confidence 0.737

191. ; $T _ { \overline{m} }$ ; confidence 0.737

192. ; $W ^ { ( i ) }$ ; confidence 0.737

193. ; $f \in \mathcal{D}$ ; confidence 0.737

194. ; $A ( ( X ) ) = \{ \sum _ { n \geq n _ { 0 } } ^ { \infty } a _ { n } X ^ { n } : n _ { 0 } \in \mathbf{Z} , a _ { n } \in A \}$ ; confidence 0.737

195. ; $G_q$ ; confidence 0.737

196. ; $A _ { 2 } \in C ^ { m \times ( n - m ) }$ ; confidence 0.737

197. ; $n K + m ^ { - 1 } B _ { X^{**} } $ ; confidence 0.737

198. ; $\nu ^ { \Lambda } / \mathcal{I}$ ; confidence 0.737

199. ; $S _ { N + 1 } = S _ { 1 }$ ; confidence 0.736

200. ; $\Sigma ^ { * }$ ; confidence 0.736

201. ; $f = f_+ . \delta . f_-$ ; confidence 0.736

202. ; $n = \pi \sigma ^ { 2 } N c.$ ; confidence 0.736

203. ; $A ( D ) ^ { * } \simeq A _ { 0 } ( \overline { \mathbf{C} } \backslash D ),$ ; confidence 0.736

204. ; $V _ { H }e$ ; confidence 0.736

205. ; $\nu _ { 1 } / 2$ ; confidence 0.736

206. ; $\dot { a } ( i k _ { j } ) \neq 0$ ; confidence 0.736

207. ; $a ( f )$ ; confidence 0.736

208. ; $X$ ; confidence 0.736

209. ; $F ( x _ { n } )$ ; confidence 0.736

210. ; $( K ^ { H _ { i } } , v ^ { H _ { i } } )$ ; confidence 0.736

211. ; $| u ( y ) | \leq c ( y ) \| u \|_+$ ; confidence 0.736

212. ; $| N _ { k } | = | N _ { r \langle P \rangle -k } |$ ; confidence 0.736

213. ; $b$ ; confidence 0.736

214. ; $\pi _ { n } ( A , A \bigcap B , * ) \rightarrow \pi _ { n } ( X , B , * )$ ; confidence 0.736

215. ; $k_c$ ; confidence 0.736

216. ; $( b )$ ; confidence 0.736

217. ; $a _ { k } = \frac { 1 } { 2 N c _ { k } } \sum _ { j = 0 } ^ { 2 N - 1 } u ( x _ { j } ) e ^ { - i k x _ { j } },$ ; confidence 0.736

218. ; $\| f \| \neq \operatorname { dist } ( f , C ( S ) \otimes \pi _ { k } ( T ) + \pi_{\text{l}}( S ) \otimes C ( T ) )$ ; confidence 0.736

219. ; $\mathcal{H} _ { \alpha }$ ; confidence 0.736

220. ; $R \subseteq X$ ; confidence 0.736

221. ; $U = \frac { \Gamma } { 2 l } \operatorname { tanh } \frac { \pi b } { l }.$ ; confidence 0.735

222. ; $\mathbf{R} ^ { n } - i \Delta \cap \{ | \eta | \geq \varepsilon \}$ ; confidence 0.735

223. ; $( g , m ) \rightarrow \square ^ { g } m$ ; confidence 0.735

224. ; $| \mu - \lambda | \leq \| V \| . \| V ^ { - 1 } \| . \| E \|,$ ; confidence 0.735

225. ; $H _ { \text{B} } ( X )$ ; confidence 0.735

226. ; $( X , L ) \in | \mathbf{SET} \times \mathbf{C}|$ ; confidence 0.735

227. ; $\mathbf{z} ^ { n } = \{ z _ { i } ^ { n } \}$ ; confidence 0.735

228. ; $\nabla ( \lambda ) = \hat{M} _ { K }$ ; confidence 0.735

229. ; $\alpha = ( \alpha _ { 1 } , \dots , \alpha _ { D } ) ^ { T }$ ; confidence 0.735

230. ; $\hat { \mathbf{Q} } _ { p }$ ; confidence 0.735

231. ; $\alpha$ ; confidence 0.735

232. ; $L _ { p } ( G ) \otimes \widehat{} L _ { q } ( G )$ ; confidence 0.735

233. ; $\operatorname{AvDTime}( T )$ ; confidence 0.735

234. ; $h_i$ ; confidence 0.735

235. ; $f _ { j } ^ { * } d \theta / 2 \pi \rightarrow \mu _ { z }$ ; confidence 0.735

236. ; $G ( \mathbf{Q} )$ ; confidence 0.735

237. ; $\operatorname { Re } \langle f ( x , y ) - f ( x , z ) , y - z \rangle \leq \nu \| y - z \| ^ { 2 } , y , z \in \mathbf{C} ^ { n }.$ ; confidence 0.735

238. ; $L _ { 1 } ( S \times T )$ ; confidence 0.735

239. ; $\mathcal{H} ^ { m } ( E \bigcap f ( \mathbf{R} ^ { m } ) ) = 0.$ ; confidence 0.735

240. ; $\overline{\phi}$ ; confidence 0.735

241. ; $U _ { t } ^ { 1 } U _ { t } ^ { 2 } - \int _ { 0 } ^ { t } \nabla u _ { 1 } ( B _ { s } ) . \nabla u _ { 2 } ( B _ { s } ) d s$ ; confidence 0.735

242. ; $H _ { \mathfrak{m} } ^ { i } ( M ) = \operatorname { lim } _ { n \rightarrow \infty } \operatorname { Ext } _ { A } ^ { i } ( A / \mathfrak { m } ^ { n } , M ) \quad ( i \in \mathbf{Z} )$ ; confidence 0.734

243. ; $\mathcal{DEXP}$ ; confidence 0.734

244. ; $Y _ { \lambda }$ ; confidence 0.734

245. ; $\mathsf{P} _ { \theta } ( S _ { N } = K ) = ( 1 - r ^ { J } ) ( 1 - r ^ { K + J } ) ^ { - 1 }$ ; confidence 0.734

246. ; $\mathsf{P} \{ F _ { \nu _ { 1 } , \nu _ { 2 } } < x \} = B _ { \nu _ { 1 } / 2 , \nu _ { 2 } / 2} \left( \frac { ( \nu _ { 1 } / \nu _ { 2 } ) x } { 1 + ( \nu _ { 1 } / \nu _ { 2 } ) x } \right).$ ; confidence 0.734

247. ; $X X ^ { \prime }$ ; confidence 0.734

248. ; $L C ^ { n - 1 }$ ; confidence 0.734

249. ; $\varepsilon x = 0 , S x = - x,$ ; confidence 0.734

250. ; $a = 1,2,3$ ; confidence 0.734

251. ; $\langle a , b | b a ^ { 2 } b ^ { - 1 } = a ^ { 3 } , a b ^ { 2 } a ^ { - 1 } = b ^ { 3 } \rangle$ ; confidence 0.734

252. ; $a _ { n } \neq 0$ ; confidence 0.734

253. ; $n | = 1$ ; confidence 0.734

254. ; $Q_{it}$ ; confidence 0.734

255. ; $E \subset \mathbf{P} ^ { n }$ ; confidence 0.734

256. ; $A ^ { + } = A ^ { - } + \nabla \chi$ ; confidence 0.734

257. ; $H = \sum^\oplus H_i$ ; confidence 0.733

258. ; $( \partial _ { t } - \sum _ { j = 1 } ^ { n } \partial _ { x _ { j } } ^ { 2 } ) u = 0$ ; confidence 0.733

259. ; $\phi ( \phi ( s , u ) , v ) = \phi ( s , u ^ { * } v ),$ ; confidence 0.733

260. ; $\left\{ \begin{array} { l } { \Delta u + \alpha u = 0 \quad \text { in } \Omega, } \\ { \frac { \partial u } { \partial n } = 0 \text { and } u = 1 \quad \text { on } \partial \Omega. } \end{array} \right.$ ; confidence 0.733

261. ; $S ^ { 1 }$ ; confidence 0.733

262. ; $\mathcal{A} ( p )$ ; confidence 0.733

263. ; $J ( \rho )$ ; confidence 0.733

264. ; $s \left( \begin{array} { l } { v } \\ { t } \end{array} \right)$ ; confidence 0.733

265. ; $\operatorname { Bel } ( \Xi ) = 1$ ; confidence 0.733

266. ; $e ^ { - i x s }$ ; confidence 0.733

267. ; $x _ { 1 } \neq a$ ; confidence 0.733

268. ; $F _ { \text{a.c.} }$ ; confidence 0.733

269. ; $x , y \in X$ ; confidence 0.733

270. ; $\mathbf{X} _ { 3 } = ( 1 , - 1 )$ ; confidence 0.733

271. ; $\operatorname { Ker } ( I - F ^ { \prime } ( c ) )$ ; confidence 0.733

272. ; $P _ { \Lambda }$ ; confidence 0.733

273. ; $T _ { f } h : = P ( f h )$ ; confidence 0.733

274. ; $D _ { P }$ ; confidence 0.733

275. ; $\omega ( a ) + \omega ( b ) < k$ ; confidence 0.733

276. ; $C ( \Omega )$ ; confidence 0.733

277. ; $x , y , z , u , v \in V$ ; confidence 0.733

278. ; $\Theta = ( u , \delta v ) - ( 1 / \kappa ) \sum H _ { a } \delta t _ { a }$ ; confidence 0.733

279. ; $L _ { 2 } ( [ a , b ] )$ ; confidence 0.733

280. ; $H _ { \mathfrak{m} } ^ { i } ( A )$ ; confidence 0.733

281. ; $\operatorname{mng}_{\mathcal{S}_{P} ,} \mathfrak { M }$ ; confidence 0.733

282. ; $\mathbf{D} y ( x ) : = y ^ { \prime } ( x ) + y ( x ) = 0,0 \leq x \leq 1,$ ; confidence 0.733

283. ; $f = ( f ^ { ( n ) } ) _ { n \in \mathbf{N} _ { 0 } }$ ; confidence 0.733

284. ; $] t , t + h ]$ ; confidence 0.733

285. ; $\psi ( . )$ ; confidence 0.732

286. ; $A = \frac { \partial Q } { \partial K } . \frac { 1 } { \alpha } . k ^ { 1 - \alpha },$ ; confidence 0.732

287. ; $\mathcal{M} f$ ; confidence 0.732

288. ; $\mathsf{P} ( X \in A ) = \int _ { A } f _ { X } ( X ) d X$ ; confidence 0.732

289. ; $\mathcal{F} _ { l } \neq \emptyset$ ; confidence 0.732

290. ; $\operatorname{SH} ^ { * } ( M , \omega ) \bigotimes \operatorname{SH} ^ { * } ( M , \omega ) \rightarrow \operatorname{SH} ^ { * } ( M , \omega ).$ ; confidence 0.732

291. ; $\Psi _ { V , W } : V \bigotimes W \rightarrow W \bigotimes V$ ; confidence 0.732

292. ; $W _ { n } = \operatorname { span } _ { \text{C} } \left\{ \frac { \partial ^ { k } \Psi _ { 1 , n } ( x , z ) } { \partial x _ { 1 } } : k = 0,1 , \ldots \right\},$ ; confidence 0.732

293. ; $u | _ { \partial \Omega } \in H _ { 2 } ^ { 1 / 2 } ( \partial \Omega )$ ; confidence 0.732

294. ; $\sigma _ { 1 } \Phi A _ { 2 } ^ { * } - \sigma _ { 2 } \Phi A _ { 1 } ^ { * } = \gamma \Phi ,$ ; confidence 0.732

295. ; $m _ { j } = \sum \{ n _ { i } : 1 \leq i < j \ \text{ and } \ \lambda _ { i } - \lambda _ { j } \in \mathbf{N} \}.$ ; confidence 0.732

296. ; $\Delta : = \left( \begin{array} { c c c } { a _ { 11 } } & { \dots } & { a _ { 1 r } } \\ { \vdots } & { \square } & { \vdots } \\ { a _ { r 1 } } & { \dots } & { a _ { m } } \end{array} \right).$ ; confidence 0.732

297. ; $p * : \pi _ { 1 } ( M ) \rightarrow \pi _ { 1 } ( S ^ { 1 } ) = \mathbf{Z}$ ; confidence 0.732

298. ; $d \phi / d S$ ; confidence 0.732

299. ; $p ( x ) = \frac { 1 } { 2 ^ { n / 2 } \Gamma ( n / 2 ) } e ^ { - x / 2 } x ^ { n / 2 - 1 },$ ; confidence 0.732

300. ; $\mathbf{Z} ^ { 3 }$ ; confidence 0.732

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/NoNroff/44. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/NoNroff/44&oldid=45610

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Difference between revisions of "User:Maximilian Janisch/latexlist/latex/NoNroff/44"

Latest revision as of 14:10, 10 May 2020

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@@ Line 6: / Line 6: @@
 . https://www.encyclopediaofmath.org/legacyimages/b/b120/b120320/b12032018.png ; $\| y \| = \| v \|$ ; confidence 0.747
-. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g13006022.png ; $G _ { r_ j } ( A )$ ; confidence 0.747
+. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g13006022.png ; $G _ { r_ i } ( A )$ ; confidence 0.747
 . https://www.encyclopediaofmath.org/legacyimages/l/l130/l130050/l13005038.png ; $N / 2$ ; confidence 0.747
@@ Line 28: / Line 28: @@
 . https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020066.png ; $\mathfrak { g } ( A )$ ; confidence 0.746
-. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t12005041.png ; $\overline { \Sigma } \square ^ { i } ( f ) = \cup _ { h \geq i } \Sigma ^ { i } ( f ).$ ; confidence 0.746
+. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t12005041.png ; $\overline { \Sigma } \square ^ { i } ( f ) = \bigcup _ { h \geq i } \Sigma ^ { i } ( f ).$ ; confidence 0.746
-. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130050/o13005093.png ; $x \in \mathfrak{h}$ ; confidence 0.746
+. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130050/o13005093.png ; $x \in \mathfrak{H}$ ; confidence 0.746
 . https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t13013056.png ; $\operatorname{Hom}_\Lambda ( T , . )$ ; confidence 0.746
-. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130080/m13008019.png ; $\sigma \in ( 1 / 2 ) \mathfrak{Z}$ ; confidence 0.746
+. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130080/m13008019.png ; $\sigma \in ( 1 / 2 ) \mathbf{Z}$ ; confidence 0.746
 . https://www.encyclopediaofmath.org/legacyimages/c/c026/c026390/c02639034.png ; $\gamma_2$ ; confidence 0.746
@@ Line 52: / Line 52: @@
 . https://www.encyclopediaofmath.org/legacyimages/a/a130/a130260/a13026016.png ; $\zeta ( 5 )$ ; confidence 0.746
-. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m130260143.png ; $X = M ( A ) \oplus _ { Q ( A ) } B =$ ; confidence 0.746
+. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m130260143.png ; $X = M ( A ) \bigoplus _ { Q ( A ) } B =$ ; confidence 0.746
 . https://www.encyclopediaofmath.org/legacyimages/d/d130/d130170/d13017019.png ; $\varphi _ { 1 } , \dots , \varphi _ { k - 1 } \in H _ { 0 } ^ { 1 } ( \Omega )$ ; confidence 0.746
@@ Line 64: / Line 64: @@
 . https://www.encyclopediaofmath.org/legacyimages/w/w120/w120060/w12006029.png ; $f , g : \mathbf{R} ^ { n } \rightarrow M$ ; confidence 0.745
-. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120010/f12001017.png ; $G F = id_X$ ; confidence 0.745
+. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120010/f12001017.png ; $G F =  \operatorname {id}_X$ ; confidence 0.745
 . https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013027.png ; $\theta _ { n - 1} $ ; confidence 0.745
@@ Line 76: / Line 76: @@
 . https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l057000178.png ; $\beta \in B$ ; confidence 0.745
-. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130040/c13004016.png ; $Cl _ { 2 } ( z ) : = - \int _ { 0 } ^ { z } \operatorname { log } | 2 \operatorname { sin } ( \frac { 1 } { 2 } t ) | d t =$ ; confidence 0.745
+. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130040/c13004016.png ; $ \operatorname {Cl} _ { 2 } ( z ) : = - \int _ { 0 } ^ { z } \operatorname { log } \left| 2 \operatorname { sin } \left( \frac { 1 } { 2 } t \right) \right| d t =$ ; confidence 0.745
 . https://www.encyclopediaofmath.org/legacyimages/h/h130/h130070/h13007023.png ; $\mathbf{f} \in R ( t ) ^ { l }$ ; confidence 0.745
@@ Line 82: / Line 82: @@
 . https://www.encyclopediaofmath.org/legacyimages/s/s120/s120150/s12015086.png ; $H _ { \mathbf{R} }$ ; confidence 0.745
-. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120060/d1200606.png ; $u [ 1 ] = u + 2 \sigma _ { X }.$ ; confidence 0.745
+. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120060/d1200606.png ; $u [ 1 ] = u + 2 \sigma _ { x }.$ ; confidence 0.745
 . https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t130050123.png ; $\sigma _ { T } ( A , \mathcal{X} / \mathcal{Y} )$ ; confidence 0.745
@@ Line 88: / Line 88: @@
 . https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c120210129.png ; $\Delta _ { n } ( \theta )$ ; confidence 0.745
-. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a120070117.png ; $A ( t ) u = L ( , t , D _ { x } ) u\text { for } u \in D ( A ( t ) ).$ ; confidence 0.745
+. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a120070117.png ; $A ( t ) u = L ( . , t , D _ { x } ) u\text { for } u \in D ( A ( t ) ).$ ; confidence 0.745
-. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082320/r08232010.png ; $u ( x ) = - \int _ { K } E _ { x } ( | x - y | ) d \mu ( y ) + h ( x ),$ ; confidence 0.745
+. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082320/r08232010.png ; $u ( x ) = - \int _ { K } E _ { n } ( | x - y | ) d \mu ( y ) + h ( x ),$ ; confidence 0.745
 . https://www.encyclopediaofmath.org/legacyimages/a/a130/a130270/a13027010.png ; $P _ { n } : Y \rightarrow X_n$ ; confidence 0.745
@@ Line 102: / Line 102: @@
 . https://www.encyclopediaofmath.org/legacyimages/m/m120/m120030/m12003048.png ; $b \uparrow \infty$ ; confidence 0.745
-. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120040/h12004022.png ; $V _ { \xi } \subset * V _ { \eta }$ ; confidence 0.745
+. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120040/h12004022.png ; $V _ { \xi } \subset_{*} V _ { \eta }$ ; confidence 0.745
 . https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110112.png ; $( a \circ \chi ) ^ { w } = M ^ { * } a ^ { w } M.$ ; confidence 0.745
@@ Line 110: / Line 110: @@
 . https://www.encyclopediaofmath.org/legacyimages/c/c120/c120160/c12016022.png ; $( A + \Delta A ) \hat{x} = b$ ; confidence 0.744
-. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040525.png ; $\operatorname{FFi} _ { \mathcal{D} } \text{A}$ ; confidence 0.744
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040525.png ; $\operatorname{FFi} _ { \mathcal{D} } \mathbf{A}$ ; confidence 0.744
 . https://www.encyclopediaofmath.org/legacyimages/s/s120/s120350/s12035033.png ; $\hat { \theta } _ { N }$ ; confidence 0.744
@@ Line 126: / Line 126: @@
 . https://www.encyclopediaofmath.org/legacyimages/b/b015/b015010/b01501037.png ; $B O _ { n } = \operatorname { lim } _ { r \rightarrow \infty } \operatorname { inf } \operatorname { Gras } _ { n } ( \mathbf{R} ^ { r + n } )$ ; confidence 0.744
-. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w1300906.png ; $\hat{h}$ ; confidence 0.744
+. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w1300906.png ; $\tilde{h}$ ; confidence 0.744
-. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s12023083.png ; $A > 0$ ; confidence 0.744
+. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s12023083.png ; $A \geq 0$ ; confidence 0.744
 . https://www.encyclopediaofmath.org/legacyimages/n/n130/n130020/n13002019.png ; $A _ { \varepsilon } = \{ x : \{ x \} \times Y \subset O _ { \varepsilon } \}$ ; confidence 0.744
@@ Line 134: / Line 134: @@
 . https://www.encyclopediaofmath.org/legacyimages/f/f120/f120100/f12010014.png ; $f ( z ) = \sum _ { n = 0 } ^ { \infty } c ( n ) e ^ { 2 \pi i n z }.$ ; confidence 0.744
-. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130100/z130100103.png ; $\downarrow \forall x \exists y \forall w ( w \in y \leftrightarrow \exists v ( v \in x \wedge \varphi ) )$ ; confidence 0.744
+. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130100/z130100103.png ; $\downarrow \forall x \exists y \forall w ( w \in y \leftrightarrow \exists v ( v \in x \bigwedge \varphi ) ).$ ; confidence 0.744
 . https://www.encyclopediaofmath.org/legacyimages/k/k120/k120080/k12008027.png ; $\{ p _ { 0 } , \dots , p _ { m } \}$ ; confidence 0.743
@@ Line 140: / Line 140: @@
 . https://www.encyclopediaofmath.org/legacyimages/f/f130/f130160/f13016035.png ; $\mu _ { R } ( M ) \leq \operatorname { max } \{ \mu ( M , P ) : P \in \operatorname { Spec } ( R ) \} + \operatorname { Kdim } ( R ).$ ; confidence 0.743
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017075.png ; $\delta _ { A , B } ( X ) \in C _ { 2 }$ ; confidence 0.743
+. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017075.png ; $\delta _ { A , B } ( X ) \in \mathcal{C} _ { 2 }$ ; confidence 0.743
 . https://www.encyclopediaofmath.org/legacyimages/f/f130/f130240/f13024010.png ; $K ( L ( a , b ) c , d ) + K ( c , L ( a , b ) d ) + K ( a , K ( c , d ) b ) = 0,$ ; confidence 0.743
@@ Line 164: / Line 164: @@
 . https://www.encyclopediaofmath.org/legacyimages/c/c020/c020280/c02028061.png ; $d s$ ; confidence 0.743
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120270/b120270106.png ; $= \frac { E \int _ { 0 } ^ { T _ { 1 } } h ( Z ( u ) ) d u } { E ( T _ { 1 } ) }.$ ; confidence 0.743
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120270/b120270106.png ; $= \frac { \mathsf{E} \int _ { 0 } ^ { T _ { 1 } } h ( Z ( u ) ) d u } {  \mathsf{E} ( T _ { 1 } ) }.$ ; confidence 0.743
-. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a13032046.png ; $E ( Y ) = 0$ ; confidence 0.743
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a13032046.png ; $ \mathsf{E} ( Y ) = 0$ ; confidence 0.743
 . https://www.encyclopediaofmath.org/legacyimages/a/a120/a120260/a12026087.png ; $i \gg 1$ ; confidence 0.743
@@ Line 172: / Line 172: @@
 . https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s1305409.png ; $x _ { i j } ( a )$ ; confidence 0.743
-. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130250/c13025063.png ; $R _ { j } = \{ k : h _ { k } ( T _ { j } - ) = 1 \}$ ; confidence 0.742
+. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130250/c13025063.png ; $R _ { j } = \{ k : I _ { k } ( T _ { j } - ) = 1 \}$ ; confidence 0.742
 . https://www.encyclopediaofmath.org/legacyimages/b/b015/b015820/b0158205.png ; $L > 0$ ; confidence 0.742
@@ Line 186: / Line 186: @@
 . https://www.encyclopediaofmath.org/legacyimages/l/l130/l130060/l13006064.png ; $a _ { i - 1 } = \lfloor \frac { m _ { i - 1 } } { m _ { i } } \rfloor ,$ ; confidence 0.742
-. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040795.png ; $K _ { 0 }$ ; confidence 0.742
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040795.png ; $ \mathsf{K} _ { 0 }$ ; confidence 0.742
-. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130270/b13027064.png ; $\rightarrow \operatorname{Hom}_{\mathbf{Z}} ( K _ { 1 } ( A ) , \mathbf{Z} ) \rightarrow 0$ ; confidence 0.742
+. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130270/b13027064.png ; $\rightarrow \operatorname{Hom}_{\mathbf{Z}} ( K _ { 1 } ( A ) , \mathbf{Z} ) \rightarrow 0.$ ; confidence 0.742
 . https://www.encyclopediaofmath.org/legacyimages/w/w120/w120200/w12020020.png ; $x _ { n } \neq b$ ; confidence 0.742
-. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t1200109.png ; $l$ ; confidence 0.742
+. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t1200109.png ; $I$ ; confidence 0.742
 . https://www.encyclopediaofmath.org/legacyimages/m/m130/m130220/m13022026.png ; $T _ { e } = j - 744$ ; confidence 0.742
@@ Line 198: / Line 198: @@
 . https://www.encyclopediaofmath.org/legacyimages/b/b120/b120520/b12052086.png ; $\prod _ { j = 0 } ^ { n - 2 } ( I - w _ { j } v _ { j } ^ { T } ) B _ { 0 } ^ { - 1 } F ( x _ { n } )$ ; confidence 0.742
-. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f130100138.png ; $\delta _ { X }$ ; confidence 0.742
+. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f130100138.png ; $\delta _ { x }$ ; confidence 0.742
 . https://www.encyclopediaofmath.org/legacyimages/d/d130/d130030/d13003016.png ; $\lambda \approx 0.2$ ; confidence 0.742
@@ Line 206: / Line 206: @@
 . https://www.encyclopediaofmath.org/legacyimages/p/p072/p072980/p07298017.png ; $t _ { 0 } \in \Gamma$ ; confidence 0.742
-. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120150/e12015067.png ; $\frac { d ^ { 2 x ^ { i } } } { d t ^ { 2 } } + \gamma ^ { i j k } ( x ) \frac { d x ^ { j } } { d t } \frac { d x ^ { k } } { d t } = \lambda _ { ( i ) } \frac { d x ^ { i } } { d t }$ ; confidence 0.742
+. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120150/e12015067.png ; $\frac { d ^ { 2 x ^ { i } } } { d t ^ { 2 } } + \gamma ^ { i_{ j k} } ( x ) \frac { d x ^ { j } } { d t } \frac { d x ^ { k } } { d t } = \lambda _ { ( i ) } \frac { d x ^ { i } } { d t },$ ; confidence 0.742
-. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120180/d12018085.png ; $( R _ { d } , + )$ ; confidence 0.742
+. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120180/d12018085.png ; $( \mathbf{R} _ { d } , + )$ ; confidence 0.742
-. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080147.png ; $A \sim ( A , \overline { A } )$ ; confidence 0.742
+. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080147.png ; $\mathcal{A} \sim ( A , \overline { A } )$ ; confidence 0.742
-. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130040/t13004031.png ; $\tau T _ { N } ^ { * } ( x )$ ; confidence 0.742
+. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130040/t13004031.png ; $\tau T _ { n } ^ { * } ( x )$ ; confidence 0.742
-. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110090/b11009041.png ; $G$ ; confidence 0.742
+. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110090/b11009041.png ; $G_n$ ; confidence 0.742
-. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f12011041.png ; $\Delta ^ { \circ } = \{ x : \{ x , \eta \} \geq 0 \text { for all } \eta \in \Delta \}$ ; confidence 0.741
+. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f12011041.png ; $\Delta ^ { \circ } = \{ x : \langle x , \eta \rangle \geq 0 \text { for all } \eta \in \Delta \}$ ; confidence 0.741
-. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130070/b13007057.png ; $\tau : a \mapsto a , b \mapsto b ^ { - 1 }$ ; confidence 0.741
+. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130070/b13007057.png ; $\tau : a \mapsto a , b \mapsto b ^ { - 1 },$ ; confidence 0.741
-. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200199.png ; $\geq | z _ { k } + 1 | \geq \ldots \geq | z _ { n } |$ ; confidence 0.741
+. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200199.png ; $\geq | z _ { h_2 } + 1 | \geq \ldots \geq | z _ { n } |.$ ; confidence 0.741
 . https://www.encyclopediaofmath.org/legacyimages/o/o130/o130080/o13008027.png ; $\{ l _ { 1 } , l _ { 2 } \}$ ; confidence 0.741
-. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120260/d1202607.png ; $E \xi _ { k } ^ { 2 } = \sigma ^ { 2 } > 0$ ; confidence 0.741
+. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120260/d1202607.png ; $\mathsf{E} \xi _ { k } ^ { 2 } = \sigma ^ { 2 } > 0$ ; confidence 0.741
-. https://www.encyclopediaofmath.org/legacyimages/w/w110/w110060/w11006030.png ; $\{ \dot { y } , f \}$ ; confidence 0.741
+. https://www.encyclopediaofmath.org/legacyimages/w/w110/w110060/w11006030.png ; $\langle \dot { y } , f \rangle$ ; confidence 0.741
 . https://www.encyclopediaofmath.org/legacyimages/t/t130/t130210/t13021034.png ; $L _ { m , n } a _ { n } = f _ { m }$ ; confidence 0.741
@@ Line 234: / Line 234: @@
 . https://www.encyclopediaofmath.org/legacyimages/b/b120/b120240/b1202404.png ; $f _ { \pm }$ ; confidence 0.741
-. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120050/w12005054.png ; $f _ { A } ( x + h ) = f ( x ) + \sum _ { | \alpha | \geq 1 } \frac { 1 } { \alpha ! } \frac { \partial ^ { | \alpha | } f } { \partial x ^ { \alpha } } | _ { x } h ^ { \alpha }$ ; confidence 0.741
+. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120050/w12005054.png ; $f _ { A } ( x + h ) = f ( x ) + \sum _ { | \alpha | \geq 1 } \frac { 1 } { \alpha ! } \frac { \partial ^ { | \alpha | } f } { \partial x ^ { \alpha } } | _ { x } h ^ { \alpha },$ ; confidence 0.741
 . https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018066.png ; $L _ { w }$ ; confidence 0.741
-. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a1103205.png ; $y ^ { \prime } = f ( t , y ) , y ( t _ { 0 } ) = y _ { 0 } , t \in [ t _ { 0 } , t _ { e } ]$ ; confidence 0.741
+. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a1103205.png ; $y ^ { \prime } = f ( t , y ) , y ( t _ { 0 } ) = y _ { 0 } , t \in [ t _ { 0 } , t _ { e } ],$ ; confidence 0.741
 . https://www.encyclopediaofmath.org/legacyimages/d/d120/d120290/d12029090.png ; $y _ { n } = f ( q _ { m } )$ ; confidence 0.741
-. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120120/m12012042.png ; $C = Z ( R ) = C _ { Q } ( R )$ ; confidence 0.741
+. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120120/m12012042.png ; $C = \mathbf{Z} ( R ) = \mathbf{C} _ { Q } ( R )$ ; confidence 0.741
-. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130180/d13018028.png ; $f J ^ { O } E$ ; confidence 0.741
+. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130180/d13018028.png ; $f J ^ { \circ_E}$ ; confidence 0.741
 . https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520373.png ; $\Lambda \equiv ( \lambda _ { 1 } , \dots , \lambda _ { n } ) \neq 0$ ; confidence 0.741
@@ Line 250: / Line 250: @@
 . https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w13008042.png ; $d \Omega _ { n } \sim d ( \lambda ^ { n } ) + \ldots$ ; confidence 0.740
-. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130020/h13002027.png ; $w ( t ) = 2 t 1 + 213$ ; confidence 0.740
+. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130020/h13002027.png ; $w ( t ) = 2 t 1 r 213$ ; confidence 0.740
 . https://www.encyclopediaofmath.org/legacyimages/c/c023/c023270/c02327015.png ; $q \in \overline { A \cup p }$ ; confidence 0.740
@@ Line 258: / Line 258: @@
 . https://www.encyclopediaofmath.org/legacyimages/f/f120/f120190/f12019034.png ; $x \in G \backslash N$ ; confidence 0.740
-. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130120/b13012010.png ; $\{ a _ { x } ^ { x } \}$ ; confidence 0.740
+. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130120/b13012010.png ; $\{ a _ { n } ^ { * } \}$ ; confidence 0.740
-. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076580/q07658079.png ; $k$ ; confidence 0.740
+. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076580/q07658079.png ; $\kappa_i$ ; confidence 0.740
 . https://www.encyclopediaofmath.org/legacyimages/l/l120/l120060/l12006091.png ; $( \phi , e ^ { - i H t } \phi )$ ; confidence 0.740
-. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210108.png ; $m$ ; confidence 0.740
+. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210108.png ; $m_j$ ; confidence 0.740
 . https://www.encyclopediaofmath.org/legacyimages/e/e120/e120260/e12026012.png ; $L _ { \mu } ( \theta ) = \int _ { E } \operatorname { exp } \langle \theta , x \rangle \mu ( d x )$ ; confidence 0.740
-. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130120/f13012026.png ; $h ( G ) \leq 1 ( A )$ ; confidence 0.740
+. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130120/f13012026.png ; $h ( G ) \leq \text{l} ( A )$ ; confidence 0.740
-. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240444.png ; $N$ ; confidence 0.740
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240444.png ; $\mathbf{Y}$ ; confidence 0.740
 . https://www.encyclopediaofmath.org/legacyimages/b/b015/b015940/b0159402.png ; $\rho ( x )$ ; confidence 0.740
-. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010930/a01093015.png ; $> 1$ ; confidence 0.740
+. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010930/a01093015.png ; $\geq 1$ ; confidence 0.740
 . https://www.encyclopediaofmath.org/legacyimages/b/b120/b120490/b12049044.png ; $A _ { j } \cap B = \emptyset$ ; confidence 0.740
-. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e12012029.png ; $L ( \theta | Y _ { obs } )$ ; confidence 0.740
+. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e12012029.png ; $L ( \theta | Y _ { \text{obs} } )$ ; confidence 0.740
 . https://www.encyclopediaofmath.org/legacyimages/x/x120/x120020/x12002051.png ; $R \# U ( L )$ ; confidence 0.740
@@ Line 284: / Line 284: @@
 . https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520420.png ; $a ( Y )$ ; confidence 0.740
-. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120130/l12013071.png ; $u _ { p }$ ; confidence 0.740
+. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120130/l12013071.png ; $\mathcal{U} _ { p }$ ; confidence 0.740
-. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120020/k1200202.png ; $SU ( n )$ ; confidence 0.740
+. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120020/k1200202.png ; $\operatorname{SU} ( n )$ ; confidence 0.740
-. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130060/i13006071.png ; $\| S \| : = \int _ { 0 } ^ { \infty } ( 1 + x ) | F ^ { \prime } ( x ) | d x$ ; confidence 0.740
+. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130060/i13006071.png ; $\| \mathcal{S} \| : = \int _ { 0 } ^ { \infty } ( 1 + x ) | F ^ { \prime } ( x ) | d x$ ; confidence 0.740
 . https://www.encyclopediaofmath.org/legacyimages/b/b120/b120050/b12005056.png ; $z \in E ^ { * * }$ ; confidence 0.739
-. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130110/c13011014.png ; $\partial f ( x ) : = \{ \zeta : f ^ { \circ } ( x ; v ) \geq \{ \zeta , v \} , \forall v \in X \}$ ; confidence 0.739
+. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130110/c13011014.png ; $\partial f ( x ) : = \{ \zeta : f ^ { \circ } ( x ; v ) \geq \langle \zeta , v \rangle , \forall v \in X \},$ ; confidence 0.739
-. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m130140157.png ; $( F f ) ( z ) = \sum _ { j = 1 } ^ { n } z ; \frac { \partial f ( z ) } { \partial z _ { j } }$ ; confidence 0.739
+. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m130140157.png ; $( F f ) ( z ) = \sum _ { j = 1 } ^ { n } z_j \frac { \partial f ( z ) } { \partial z _ { j } }.$ ; confidence 0.739
 . https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i130090133.png ; $\lambda _ { p } ( K / k ) > 0$ ; confidence 0.739
-. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120120/m12012037.png ; $Q _ { 1 } ( R ) = R$ ; confidence 0.739
+. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120120/m12012037.png ; $Q _ { \text{l} } ( R ) = R$ ; confidence 0.739
 . https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d120230123.png ; $R = I$ ; confidence 0.739
@@ Line 304: / Line 304: @@
 . https://www.encyclopediaofmath.org/legacyimages/j/j120/j120010/j12001021.png ; $F = X + F _ { ( 2 ) } + \ldots + F _ { ( d ) }$ ; confidence 0.739
-. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130120/b13012027.png ; $\int _ { R } d \mu ( t ) = 1$ ; confidence 0.739
+. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130120/b13012027.png ; $\int _ { \mathbf{R} } d \mu ( t ) = 1$ ; confidence 0.739
 . https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r13008056.png ; $f ^ { \prime } ( z _ { 0 } , z _ { 0 } ) = 1$ ; confidence 0.739
-. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120010/f1200101.png ; $S h$ ; confidence 0.739
+. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120010/f1200101.png ; $\operatorname{Sh}$ ; confidence 0.739
 . https://www.encyclopediaofmath.org/legacyimages/k/k130/k130020/k1300203.png ; $\{ ( x _ { i } , y _ { i } ) \} _ { i = 1 } ^ { n }$ ; confidence 0.739
-. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120010/g12001013.png ; $\int _ { - \infty } ^ { \infty } ( G _ { b } ^ { \alpha } f ) ( \omega ) d \dot { b } = \hat { f } ( \omega )$ ; confidence 0.739
+. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120010/g12001013.png ; $\int _ { - \infty } ^ { \infty } ( G _ { b } ^ { \alpha } f ) ( \omega ) d  b  = \hat { f } ( \omega ),$ ; confidence 0.739
 . https://www.encyclopediaofmath.org/legacyimages/c/c130/c130090/c1300901.png ; $T _ { n } ( x ) = \operatorname { cos } ( n \operatorname { cos } ^ { - 1 } x )$ ; confidence 0.739
-. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i13005063.png ; $q \in L _ { 1 } , 1$ ; confidence 0.739
+. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i13005063.png ; $q \in L _ { 1 , 1} $ ; confidence 0.739
 . https://www.encyclopediaofmath.org/legacyimages/e/e130/e130040/e13004058.png ; $P _ { \pm }$ ; confidence 0.739
-. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120110/n12011029.png ; $\xi _ { i }$ ; confidence 0.739
+. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120110/n12011029.png ; $\xi _ { i }(.)$ ; confidence 0.739
 . https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006049.png ; $X _ { j _ { 1 } } , \dots , X _ { j _ { k } }$ ; confidence 0.738
-. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e12010031.png ; $.$ ; confidence 0.738
+. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e12010031.png ; $\mathbf{J}$ ; confidence 0.738
-. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064420/m0644206.png ; $SL _ { 2 } ( Z )$ ; confidence 0.738
+. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064420/m0644206.png ; $\operatorname{SL} _ { 2 } ( \mathbf{Z} )$ ; confidence 0.738
 . https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650195.png ; $( 0 , q )$ ; confidence 0.738
@@ Line 332: / Line 332: @@
 . https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008050.png ; $u _ { 1 } \in V$ ; confidence 0.738
-. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130530/s13053061.png ; $S t _ { q }$ ; confidence 0.738
+. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130530/s13053061.png ; $\operatorname{St} _ { q }$ ; confidence 0.738
-. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v12002048.png ; $\overline { H } \square _ { c } ^ { x }$ ; confidence 0.738
+. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v12002048.png ; $\overline { H } \square _ { c } ^ { * }$ ; confidence 0.738
-. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i13003067.png ; $( P _ { B } )$ ; confidence 0.738
+. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i13003067.png ; $( P _ { b } )$ ; confidence 0.738
-. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240485.png ; $B$ ; confidence 0.738
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240485.png ; $\mathbf{B}$ ; confidence 0.738
 . https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420169.png ; $K$ ; confidence 0.738
-. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240219.png ; $I$ ; confidence 0.738
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240219.png ; $\Gamma$ ; confidence 0.738
 . https://www.encyclopediaofmath.org/legacyimages/m/m130/m130020/m13002013.png ; $F _ { A } = * D _ { A } \phi$ ; confidence 0.738
-. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r130080119.png ; $| u ( y ) | = | \sum _ { j = 1 } ^ { \infty } \lambda _ { j } ^ { 1 / 2 } v _ { j } \varphi _ { j } ( x ) | < c \Lambda \| v \| _ { 0 } = c \Lambda \| u \| _ { + }$ ; confidence 0.738
+. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r130080119.png ; $| u ( y ) | = \left| \sum _ { j = 1 } ^ { \infty } \lambda _ { j } ^ { 1 / 2 } v _ { j } \varphi _ { j } ( x ) \right| < c \Lambda \| v \| _ { 0 } = c \Lambda \| u \| _ { + },$ ; confidence 0.738
-. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120120/d12012048.png ; $d \alpha = d \alpha$ ; confidence 0.738
+. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120120/d12012048.png ; $d \alpha = d \alpha'$ ; confidence 0.738
-. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t130050103.png ; $\sigma _ { r }$ ; confidence 0.738
+. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t130050103.png ; $\sigma _ { \text{r} }$ ; confidence 0.738
-. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120240/f12024055.png ; $( - \infty , - g ( t ) )$ ; confidence 0.738
+. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120240/f12024055.png ; $( - \infty , - g ( t ) ]$ ; confidence 0.738
-. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120150/t12015058.png ; $A ^ { \prime \prime }$ ; confidence 0.738
+. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120150/t12015058.png ; $\mathcal{A} ^ { \prime \prime }$ ; confidence 0.738
-. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120050/g12005052.png ; $\frac { \partial A } { \partial \tau } = A + ( 1 + i \alpha ) \frac { \partial ^ { 2 } A } { \partial \xi ^ { 2 } } - ( 1 + i b ) A | A | ^ { 2 }$ ; confidence 0.737
+. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120050/g12005052.png ; $\frac { \partial A } { \partial \tau } = A + ( 1 + i a ) \frac { \partial ^ { 2 } A } { \partial \xi ^ { 2 } } - ( 1 + i b ) A | A | ^ { 2 },$ ; confidence 0.737
 . https://www.encyclopediaofmath.org/legacyimages/t/t130/t130210/t13021036.png ; $f _ { m } = ( f , \phi _ { m } )$ ; confidence 0.737
-. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120050/l12005017.png ; $f ( x ) = \operatorname { lim } _ { N \rightarrow \infty } \frac { 4 } { \pi ^ { 2 } } \int _ { 0 } ^ { N } \operatorname { cosh } ( \pi \tau ) \operatorname { Re } K _ { 1 / 2 + i \tau } ( x ) F ( \tau ) d \tau$ ; confidence 0.737
+. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120050/l12005017.png ; $f ( x ) = \operatorname { lim } _ { N \rightarrow \infty } \frac { 4 } { \pi ^ { 2 } } \int _ { 0 } ^ { N } \operatorname { cosh } ( \pi \tau ) \operatorname { Re } K _ { 1 / 2 + i \tau } ( x ) F ( \tau ) d \tau,$ ; confidence 0.737
 . https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008057.png ; $v \in H ^ { 1 } ( \Omega )$ ; confidence 0.737
@@ Line 366: / Line 366: @@
 . https://www.encyclopediaofmath.org/legacyimages/b/b130/b130040/b13004059.png ; $\{ U _ { n } , V _ { n } \} _ { n = 1 } ^ { \infty }$ ; confidence 0.737
-. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020180.png ; $g ^ { ( k ) }$ ; confidence 0.737
+. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020180.png ; $\tilde{x} ^ { ( k ) }$ ; confidence 0.737
-. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120300/c12030062.png ; $B _ { i } \rightarrow B _ { i } + 1$ ; confidence 0.737
+. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120300/c12030062.png ; $\mathcal{B} _ { i } \rightarrow \mathcal{B} _ { i +1} $ ; confidence 0.737
 . https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200163.png ; $\operatorname { lim } \mathfrak { g } ^ { \alpha } = 1$ ; confidence 0.737
@@ Line 374: / Line 374: @@
 . https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042091.png ; $x \in G$ ; confidence 0.737
-. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i05023059.png ; $1 < m \leq n$ ; confidence 0.737
+. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i05023059.png ; $1 \leq m \leq n$ ; confidence 0.737
 . https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510124.png ; $c : V ^ { f } \rightarrow J$ ; confidence 0.737
@@ Line 380: / Line 380: @@
 . https://www.encyclopediaofmath.org/legacyimages/i/i050/i050730/i050730104.png ; $G _ { g }$ ; confidence 0.737
-. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130230/b13023018.png ; $T _ { m }$ ; confidence 0.737
+. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130230/b13023018.png ; $T _ { \overline{m} }$ ; confidence 0.737
 . https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b12021092.png ; $W ^ { ( i ) }$ ; confidence 0.737
-. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120010/q12001047.png ; $f \in D$ ; confidence 0.737
+. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120010/q12001047.png ; $f \in \mathcal{D}$ ; confidence 0.737
-. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120020/f12002046.png ; $A ( ( X ) ) = \{ \sum _ { n \geq n _ { 0 } } ^ { \infty } a _ { n } X ^ { n } : n _ { 0 } \in Z , a _ { n } \in A \}$ ; confidence 0.737
+. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120020/f12002046.png ; $A ( ( X ) ) = \{ \sum _ { n \geq n _ { 0 } } ^ { \infty } a _ { n } X ^ { n } : n _ { 0 } \in \mathbf{Z} , a _ { n } \in A \}$ ; confidence 0.737
-. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050179.png ; $G$ ; confidence 0.737
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050179.png ; $G_q$ ; confidence 0.737
 . https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c12008014.png ; $A _ { 2 } \in C ^ { m \times ( n - m ) }$ ; confidence 0.737
-. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120030/w120030122.png ; $n K + m ^ { - 1 } B _ { X } * *$ ; confidence 0.737
+. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120030/w120030122.png ; $n K + m ^ { - 1 } B _ { X^{**} } $ ; confidence 0.737
-. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g1300305.png ; $V ^ { \Lambda } / I$ ; confidence 0.737
+. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g1300305.png ; $\nu ^ { \Lambda } / \mathcal{I}$ ; confidence 0.737
 . https://www.encyclopediaofmath.org/legacyimages/i/i120/i120080/i12008068.png ; $S _ { N + 1 } = S _ { 1 }$ ; confidence 0.736
@@ Line 400: / Line 400: @@
 . https://www.encyclopediaofmath.org/legacyimages/c/c023/c023800/c02380029.png ; $\Sigma ^ { * }$ ; confidence 0.736
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120240/b12024022.png ; $f = f + . \delta . f -$ ; confidence 0.736
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120240/b12024022.png ; $f = f_+ . \delta . f_-$ ; confidence 0.736
-. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130050/k13005015.png ; $n = \pi \sigma ^ { 2 } N _ { c }$ ; confidence 0.736
+. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130050/k13005015.png ; $n = \pi \sigma ^ { 2 } N c.$ ; confidence 0.736
-. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120280/d12028023.png ; $A ( D ) ^ { * } \simeq A _ { 0 } ( \overline { C } \backslash D )$ ; confidence 0.736
+. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120280/d12028023.png ; $A ( D ) ^ { * } \simeq A _ { 0 } ( \overline { \mathbf{C} } \backslash D ),$ ; confidence 0.736
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120460/b12046046.png ; $V _ { H e }$ ; confidence 0.736
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120460/b12046046.png ; $V _ { H }e$ ; confidence 0.736
-. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040490/f04049017.png ; $\nu _ { 1 } \nmid 2$ ; confidence 0.736
+. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040490/f04049017.png ; $\nu _ { 1 } / 2$ ; confidence 0.736
-. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i13005044.png ; $\dot { \alpha } ( i k _ { j } ) \neq 0$ ; confidence 0.736
+. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i13005044.png ; $\dot { a } ( i k _ { j } ) \neq 0$ ; confidence 0.736
 . https://www.encyclopediaofmath.org/legacyimages/a/a012/a012550/a01255047.png ; $a ( f )$ ; confidence 0.736
@@ Line 416: / Line 416: @@
 . https://www.encyclopediaofmath.org/legacyimages/p/p120/p120150/p1201505.png ; $X$ ; confidence 0.736
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120520/b12052080.png ; $F ( x _ { x } )$ ; confidence 0.736
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120520/b12052080.png ; $F ( x _ { n } )$ ; confidence 0.736
-. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110080/d11008062.png ; $( K ^ { H _ { i } } , v _ { i } ^ { H _ { i } } )$ ; confidence 0.736
+. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110080/d11008062.png ; $( K ^ { H _ { i } } , v ^ { H _ { i } } )$ ; confidence 0.736
-. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r13007051.png ; $| u ( y ) | \leq c ( y ) \| u \| +$ ; confidence 0.736
+. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r13007051.png ; $| u ( y ) | \leq c ( y ) \| u \|_+$ ; confidence 0.736
-. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130490/s13049050.png ; $| N _ { k } | = | N _ { k } ( P ) - k |$ ; confidence 0.736
+. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130490/s13049050.png ; $| N _ { k } | = | N _ { r \langle P \rangle -k }  |$ ; confidence 0.736
 . https://www.encyclopediaofmath.org/legacyimages/p/p120/p120150/p12015059.png ; $b$ ; confidence 0.736
-. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094080/t09408035.png ; $\pi _ { n } ( A , A \cap B , * ) \rightarrow \pi _ { n } ( X , B , * )$ ; confidence 0.736
+. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094080/t09408035.png ; $\pi _ { n } ( A , A \bigcap B , * ) \rightarrow \pi _ { n } ( X , B , * )$ ; confidence 0.736
-. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120050/g12005030.png ; $k$ ; confidence 0.736
+. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120050/g12005030.png ; $k_c$ ; confidence 0.736
 . https://www.encyclopediaofmath.org/legacyimages/z/z130/z130070/z13007037.png ; $( b )$ ; confidence 0.736
-. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130190/f13019015.png ; $a _ { k } = \frac { 1 } { 2 N c _ { k } } \sum _ { j = 0 } ^ { 2 N - 1 } u ( x _ { j } ) e ^ { - i k x _ { j } }$ ; confidence 0.736
+. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130190/f13019015.png ; $a _ { k } = \frac { 1 } { 2 N c _ { k } } \sum _ { j = 0 } ^ { 2 N - 1 } u ( x _ { j } ) e ^ { - i k x _ { j } },$ ; confidence 0.736
-. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120160/d12016060.png ; $\| f \| \neq \operatorname { dist } ( f , C ( S ) \otimes \pi _ { k } ( T ) + \pi ( S ) \otimes C ( T ) )$ ; confidence 0.736
+. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120160/d12016060.png ; $\| f \| \neq \operatorname { dist } ( f , C ( S ) \otimes \pi _ { k } ( T ) + \pi_{\text{l}}( S ) \otimes C ( T ) )$ ; confidence 0.736
-. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520295.png ; $H _ { Q }$ ; confidence 0.736
+. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520295.png ; $\mathcal{H} _ { \alpha }$ ; confidence 0.736
-. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d130060127.png ; $R \subset X$ ; confidence 0.736
+. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d130060127.png ; $R \subseteq X$ ; confidence 0.736
-. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130110/v13011038.png ; $U = \frac { \Gamma } { 2 l } \operatorname { tanh } \frac { \pi \dot { b } } { l }$ ; confidence 0.735
+. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130110/v13011038.png ; $U = \frac { \Gamma } { 2 l } \operatorname { tanh } \frac { \pi  b  } { l }.$ ; confidence 0.735
-. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f120110158.png ; $R ^ { n } - i \Delta \cap \{ | \eta | \geq \varepsilon \}$ ; confidence 0.735
+. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f120110158.png ; $\mathbf{R} ^ { n } - i \Delta \cap \{ | \eta | \geq \varepsilon \}$ ; confidence 0.735
 . https://www.encyclopediaofmath.org/legacyimages/c/c120/c120290/c12029011.png ; $( g , m ) \rightarrow \square ^ { g } m$ ; confidence 0.735
-. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130060/b13006040.png ; $| \mu - \lambda | \leq \| V \| \cdot \| V ^ { - 1 } \| \| E \|$ ; confidence 0.735
+. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130060/b13006040.png ; $| \mu - \lambda | \leq \| V \| . \| V ^ { - 1 } \| . \| E \|,$ ; confidence 0.735
-. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b1102208.png ; $H _ { B } ( X )$ ; confidence 0.735
+. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b1102208.png ; $H _ { \text{B} } ( X )$ ; confidence 0.735
-. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f130290160.png ; $( X , L ) \in | S E T \times C$ ; confidence 0.735
+. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f130290160.png ; $( X , L ) \in | \mathbf{SET} \times \mathbf{C}|$ ; confidence 0.735
-. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120240/s12024043.png ; $z ^ { n } = \{ z _ { i } ^ { n } \}$ ; confidence 0.735
+. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120240/s12024043.png ; $\mathbf{z} ^ { n } = \{ z _ { i } ^ { n } \}$ ; confidence 0.735
-. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090389.png ; $\nabla ( \lambda ) = M _ { K }$ ; confidence 0.735
+. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090389.png ; $\nabla ( \lambda ) = \hat{M} _ { K }$ ; confidence 0.735
 . https://www.encyclopediaofmath.org/legacyimages/s/s120/s120020/s12002011.png ; $\alpha = ( \alpha _ { 1 } , \dots , \alpha _ { D } ) ^ { T }$ ; confidence 0.735
-. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l12012020.png ; $\hat { Q } _ { p }$ ; confidence 0.735
+. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l12012020.png ; $\hat { \mathbf{Q} } _ { p }$ ; confidence 0.735
 . https://www.encyclopediaofmath.org/legacyimages/p/p120/p120150/p12015032.png ; $\alpha$ ; confidence 0.735
-. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120080/f120080151.png ; $L _ { p } ( G ) \otimes \sim L _ { q } ( G )$ ; confidence 0.735
+. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120080/f120080151.png ; $L _ { p } ( G ) \otimes \widehat{} L _ { q } ( G )$ ; confidence 0.735
-. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130310/a130310106.png ; $( T )$ ; confidence 0.735
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130310/a130310106.png ; $\operatorname{AvDTime}( T )$ ; confidence 0.735
-. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020680/c02068037.png ; $\hat { r } _ { 2 }$ ; confidence 0.735
+. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020680/c02068037.png ; $h_i$ ; confidence 0.735
 . https://www.encyclopediaofmath.org/legacyimages/p/p130/p130100/p130100175.png ; $f _ { j } ^ { * } d \theta / 2 \pi \rightarrow \mu _ { z }$ ; confidence 0.735
-. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130010/b13001017.png ; $G ( Q )$ ; confidence 0.735
+. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130010/b13001017.png ; $G ( \mathbf{Q} )$ ; confidence 0.735
-. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120100/n12010033.png ; $\operatorname { Re } \langle f ( x , y ) - f ( x , z ) , y - z \rangle \leq \nu \| y - z \| ^ { 2 } , y , z \in C ^ { n }$ ; confidence 0.735
+. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120100/n12010033.png ; $\operatorname { Re } \langle f ( x , y ) - f ( x , z ) , y - z \rangle \leq \nu \| y - z \| ^ { 2 } , y , z \in \mathbf{C} ^ { n }.$ ; confidence 0.735
 . https://www.encyclopediaofmath.org/legacyimages/d/d120/d120160/d12016074.png ; $L _ { 1 } ( S \times T )$ ; confidence 0.735
-. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130040/g13004013.png ; $H ^ { m } ( E \cap f ( R ^ { m } ) ) = 0$ ; confidence 0.735
+. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130040/g13004013.png ; $\mathcal{H} ^ { m } ( E \bigcap f ( \mathbf{R} ^ { m } ) ) = 0.$ ; confidence 0.735
-. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030690/d0306905.png ; $\phi$ ; confidence 0.735
+. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030690/d0306905.png ; $\overline{\phi}$ ; confidence 0.735
-. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j120020184.png ; $U _ { t } ^ { 1 } U _ { t } ^ { 2 } - \int _ { 0 } ^ { t } \nabla u _ { 1 } ( B _ { s } ) \cdot \nabla u _ { 2 } ( B _ { s } ) d s$ ; confidence 0.735
+. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j120020184.png ; $U _ { t } ^ { 1 } U _ { t } ^ { 2 } - \int _ { 0 } ^ { t } \nabla u _ { 1 } ( B _ { s } ) . \nabla u _ { 2 } ( B _ { s } ) d s$ ; confidence 0.735
-. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b13029072.png ; $H _ { m } ^ { i } ( M ) = \operatorname { lim } _ { n \rightarrow \infty } \operatorname { Ext } _ { A } ^ { i } ( A / \mathfrak { m } ^ { n } , M ) \quad ( i \in Z )$ ; confidence 0.734
+. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b13029072.png ; $H _ { \mathfrak{m} } ^ { i } ( M ) = \operatorname { lim } _ { n \rightarrow \infty } \operatorname { Ext } _ { A } ^ { i } ( A / \mathfrak { m } ^ { n } , M ) \quad ( i \in \mathbf{Z} )$ ; confidence 0.734
-. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130310/a13031096.png ; $D E X P$ ; confidence 0.734
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130310/a13031096.png ; $\mathcal{DEXP}$ ; confidence 0.734
 . https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w12009093.png ; $Y _ { \lambda }$ ; confidence 0.734
-. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a13032043.png ; $P _ { \theta } ( S _ { N } = K ) = ( 1 - r ^ { J } ) ( 1 - r ^ { K + J } ) ^ { - 1 }$ ; confidence 0.734
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a13032043.png ; $\mathsf{P} _ { \theta } ( S _ { N } = K ) = ( 1 - r ^ { J } ) ( 1 - r ^ { K + J } ) ^ { - 1 }$ ; confidence 0.734
-. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040490/f04049021.png ; $P \{ F _ { \nu _ { 1 } , \nu _ { 2 } } < x \} = B _ { \nu _ { 1 } } / 2 , \nu _ { 2 } / 2 ( \frac { ( \nu _ { 1 } / \nu _ { 2 } ) x } { 1 + ( \nu _ { 1 } / \nu _ { 2 } ) x } )$ ; confidence 0.734
+. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040490/f04049021.png ; $\mathsf{P} \{ F _ { \nu _ { 1 } , \nu _ { 2 } } < x \} = B _ { \nu _ { 1 } / 2 , \nu _ { 2 } / 2} \left( \frac { ( \nu _ { 1 } / \nu _ { 2 } ) x } { 1 + ( \nu _ { 1 } / \nu _ { 2 } ) x } \right).$ ; confidence 0.734
 . https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s12023037.png ; $X X ^ { \prime }$ ; confidence 0.734
-. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120250/m12025047.png ; $L C ^ { k - 1 }$ ; confidence 0.734
+. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120250/m12025047.png ; $L C ^ { n - 1 }$ ; confidence 0.734
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b12043064.png ; $\varepsilon x = 0 , S x = - x$ ; confidence 0.734
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b12043064.png ; $\varepsilon x = 0 , S x = - x,$ ; confidence 0.734
-. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001040.png ; $\alpha = 1,2,3$ ; confidence 0.734
+. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001040.png ; $a = 1,2,3$ ; confidence 0.734
-. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l12017039.png ; $\langle \alpha , b | b a ^ { 2 } b ^ { - 1 } = a ^ { 3 } , a b ^ { 2 } a ^ { - 1 } = b ^ { 3 } \rangle$ ; confidence 0.734
+. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l12017039.png ; $\langle a , b | b a ^ { 2 } b ^ { - 1 } = a ^ { 3 } , a b ^ { 2 } a ^ { - 1 } = b ^ { 3 } \rangle$ ; confidence 0.734
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120130/p1201306.png ; $a _ { x } \neq 0$ ; confidence 0.734
+. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120130/p1201306.png ; $a _ { n } \neq 0$ ; confidence 0.734
 . https://www.encyclopediaofmath.org/legacyimages/b/b130/b130070/b13007012.png ; $n | = 1$ ; confidence 0.734
-. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a120160145.png ; $Q i$ ; confidence 0.734
+. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a120160145.png ; $Q_{it}$ ; confidence 0.734
-. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120010/c120010106.png ; $E \subset P ^ { x }$ ; confidence 0.734
+. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120010/c120010106.png ; $E \subset \mathbf{P} ^ { n }$ ; confidence 0.734
 . https://www.encyclopediaofmath.org/legacyimages/d/d130/d130130/d13013029.png ; $A ^ { + } = A ^ { - } + \nabla \chi$ ; confidence 0.734
-. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v09690053.png ; $H = \sum H$ ; confidence 0.733
+. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v09690053.png ; $H = \sum^\oplus H_i$ ; confidence 0.733
 . https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g12004032.png ; $( \partial _ { t } - \sum _ { j = 1 } ^ { n } \partial _ { x _ { j } } ^ { 2 } ) u = 0$ ; confidence 0.733
-. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130070/s1300708.png ; $\phi ( \phi ( s , u ) , v ) = \phi ( s , u ^ { * } v )$ ; confidence 0.733
+. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130070/s1300708.png ; $\phi ( \phi ( s , u ) , v ) = \phi ( s , u ^ { * } v ),$ ; confidence 0.733
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120150/p12015047.png ; $\left\{ \begin{array} { l } { \Delta u + \alpha u = 0 \quad \text { in } \Omega } \\ { \frac { \partial u } { \partial n } = 0 \text { and } u = 1 \quad \text { on } \partial \Omega } \end{array} \right.$ ; confidence 0.733
+. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120150/p12015047.png ; $\left\{ \begin{array} { l } { \Delta u + \alpha u = 0 \quad \text { in } \Omega, } \\ { \frac { \partial u } { \partial n } = 0 \text { and } u = 1 \quad \text { on } \partial \Omega. } \end{array} \right.$ ; confidence 0.733
-. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002010.png ; $s ^ { 1 }$ ; confidence 0.733
+. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002010.png ; $S ^ { 1 }$ ; confidence 0.733
-. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050192.png ; $A ( p )$ ; confidence 0.733
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050192.png ; $\mathcal{A} ( p )$ ; confidence 0.733
 . https://www.encyclopediaofmath.org/legacyimages/r/r082/r082320/r08232041.png ; $J ( \rho )$ ; confidence 0.733
@@ Line 534: / Line 534: @@
 . https://www.encyclopediaofmath.org/legacyimages/w/w120/w120200/w12020019.png ; $x _ { 1 } \neq a$ ; confidence 0.733
-. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120120/k12012066.png ; $F _ { ac }$ ; confidence 0.733
+. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120120/k12012066.png ; $F _ { \text{a.c.} }$ ; confidence 0.733
 . https://www.encyclopediaofmath.org/legacyimages/a/a130/a130140/a13014010.png ; $x , y \in X$ ; confidence 0.733
-. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240498.png ; $X _ { 3 } = ( 1 , - 1 )$ ; confidence 0.733
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240498.png ; $\mathbf{X} _ { 3 } = ( 1 , - 1 )$ ; confidence 0.733
 . https://www.encyclopediaofmath.org/legacyimages/d/d130/d130080/d130080144.png ; $\operatorname { Ker } ( I - F ^ { \prime } ( c ) )$ ; confidence 0.733
@@ Line 546: / Line 546: @@
 . https://www.encyclopediaofmath.org/legacyimages/t/t130/t130150/t13015010.png ; $T _ { f } h : = P ( f h )$ ; confidence 0.733
-. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120100/k12010043.png ; $D _ { F }$ ; confidence 0.733
+. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120100/k12010043.png ; $D _ { P }$ ; confidence 0.733
 . https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007051.png ; $\omega ( a ) + \omega ( b ) < k$ ; confidence 0.733
@@ Line 554: / Line 554: @@
 . https://www.encyclopediaofmath.org/legacyimages/a/a130/a130250/a1302509.png ; $x , y , z , u , v \in V$ ; confidence 0.733
-. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080190.png ; $\Theta = ( u , \delta v ) - ( 1 / \kappa ) \sum H _ { \alpha } \delta t _ { \alpha }$ ; confidence 0.733
+. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080190.png ; $\Theta = ( u , \delta v ) - ( 1 / \kappa ) \sum H _ { a } \delta t _ { a }$ ; confidence 0.733
 . https://www.encyclopediaofmath.org/legacyimages/e/e035/e035000/e03500083.png ; $L _ { 2 } ( [ a , b ] )$ ; confidence 0.733
-. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290172.png ; $H _ { m } ^ { i } ( A )$ ; confidence 0.733
+. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290172.png ; $H _ { \mathfrak{m} } ^ { i } ( A )$ ; confidence 0.733
-. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040639.png ; $P , \mathfrak { M }$ ; confidence 0.733
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040639.png ; $\operatorname{mng}_{\mathcal{S}_{P} ,} \mathfrak { M }$ ; confidence 0.733
-. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130040/t1300403.png ; $D y ( x ) : = y ^ { \prime } ( x ) + y ( x ) = 0,0 \leq x \leq 1$ ; confidence 0.733
+. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130040/t1300403.png ; $\mathbf{D} y ( x ) : = y ^ { \prime } ( x ) + y ( x ) = 0,0 \leq x \leq 1,$ ; confidence 0.733
-. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120260/s12026019.png ; $f = ( f ^ { ( n ) } ) _ { n \in N _ { 0 } }$ ; confidence 0.733
+. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120260/s12026019.png ; $f = ( f ^ { ( n ) } ) _ { n \in \mathbf{N} _ { 0 } }$ ; confidence 0.733
 . https://www.encyclopediaofmath.org/legacyimages/c/c130/c130250/c13025045.png ; $] t , t + h ]$ ; confidence 0.733
@@ Line 570: / Line 570: @@
 . https://www.encyclopediaofmath.org/legacyimages/a/a110/a110150/a1101508.png ; $\psi ( . )$ ; confidence 0.732
-. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130130/c1301309.png ; $A = \frac { \partial Q } { \partial K } \cdot \frac { 1 } { \alpha } k ^ { 1 - \alpha }$ ; confidence 0.732
+. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130130/c1301309.png ; $A = \frac { \partial Q } { \partial K } . \frac { 1 } { \alpha } . k ^ { 1 - \alpha },$ ; confidence 0.732
-. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120060/w12006023.png ; $M f$ ; confidence 0.732
+. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120060/w12006023.png ; $\mathcal{M} f$ ; confidence 0.732
-. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120150/m12015021.png ; $P ( X \in A ) = \int _ { A } f _ { X } ( X ) d X$ ; confidence 0.732
+. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120150/m12015021.png ; $\mathsf{P} ( X \in A ) = \int _ { A } f _ { X } ( X ) d X$ ; confidence 0.732
-. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130500/s13050017.png ; $F _ { l } \neq 0$ ; confidence 0.732
+. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130500/s13050017.png ; $\mathcal{F} _ { l } \neq \emptyset$ ; confidence 0.732
-. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s12034027.png ; $SH ^ { * } ( M , \omega ) \otimes SH ^ { * } ( M , \omega ) \rightarrow SH ^ { * } ( M , \omega )$ ; confidence 0.732
+. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s12034027.png ; $\operatorname{SH} ^ { * } ( M , \omega ) \bigotimes \operatorname{SH} ^ { * } ( M , \omega ) \rightarrow \operatorname{SH} ^ { * } ( M , \omega ).$ ; confidence 0.732
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b1204209.png ; $\Psi _ { V , W } : V \otimes W \rightarrow W \otimes V$ ; confidence 0.732
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b1204209.png ; $\Psi _ { V , W } : V \bigotimes W \rightarrow W \bigotimes V$ ; confidence 0.732
-. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120130/t12013041.png ; $W _ { n } = \operatorname { span } _ { C } \{ \frac { \partial ^ { k } \Psi _ { 1 , n } ( x , z ) } { \partial x _ { 1 } } : k = 0,1 , \ldots \}$ ; confidence 0.732
+. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120130/t12013041.png ; $W _ { n } = \operatorname { span } _ { \text{C} } \left\{ \frac { \partial ^ { k } \Psi _ { 1 , n } ( x , z ) } { \partial x _ { 1 } } : k = 0,1 , \ldots \right\},$ ; confidence 0.732
 . https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n066630131.png ; $u | _ { \partial \Omega } \in H _ { 2 } ^ { 1 / 2 } ( \partial \Omega )$ ; confidence 0.732
-. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o13006015.png ; $\sigma _ { 1 } \Phi A _ { 2 } ^ { * } - \sigma _ { 2 } \Phi A _ { 1 } ^ { * } = \gamma \Phi$ ; confidence 0.732
+. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o13006015.png ; $\sigma _ { 1 } \Phi A _ { 2 } ^ { * } - \sigma _ { 2 } \Phi A _ { 1 } ^ { * } = \gamma \Phi ,$ ; confidence 0.732
-. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f12021081.png ; $m _ { j } = \sum \{ n _ { i } : 1 \leq i < \text { jand } \lambda _ { i } - \lambda _ { j } \in N \}$ ; confidence 0.732
+. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f12021081.png ; $m _ { j } = \sum \{ n _ { i } : 1 \leq i < j \  \text{ and } \ \lambda _ { i } - \lambda _ { j } \in \mathbf{N} \}.$ ; confidence 0.732
-. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130070/h13007031.png ; $\Delta : = \left( \begin{array} { c c c } { a _ { 11 } } & { \dots } & { a _ { 1 r } } \\ { \vdots } & { \square } & { \vdots } \\ { a _ { r 1 } } & { \dots } & { a _ { m } } \end{array} \right)$ ; confidence 0.732
+. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130070/h13007031.png ; $\Delta : = \left( \begin{array} { c c c } { a _ { 11 } } & { \dots } & { a _ { 1 r } } \\ { \vdots } & { \square } & { \vdots } \\ { a _ { r 1 } } & { \dots } & { a _ { m } } \end{array} \right).$ ; confidence 0.732
-. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120110/m12011045.png ; $p * : \pi _ { 1 } ( M ) \rightarrow \pi _ { 1 } ( S ^ { 1 } ) = Z$ ; confidence 0.732
+. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120110/m12011045.png ; $p * : \pi _ { 1 } ( M ) \rightarrow \pi _ { 1 } ( S ^ { 1 } ) = \mathbf{Z}$ ; confidence 0.732
 . https://www.encyclopediaofmath.org/legacyimages/v/v130/v130070/v13007050.png ; $d \phi / d S$ ; confidence 0.732
-. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022100/c0221004.png ; $p ( x ) = \frac { 1 } { 2 ^ { x / 2 } \Gamma ( n / 2 ) } e ^ { - x / 2 } x ^ { n / 2 - 1 }$ ; confidence 0.732
+. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022100/c0221004.png ; $p ( x ) = \frac { 1 } { 2 ^ { n / 2 } \Gamma ( n / 2 ) } e ^ { - x / 2 } x ^ { n / 2 - 1 },$ ; confidence 0.732
-. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130070/f13007024.png ; $z ^ { 3 }$ ; confidence 0.732
+. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130070/f13007024.png ; $\mathbf{Z} ^ { 3 }$ ; confidence 0.732