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User:Maximilian Janisch/latexlist/latex/NoNroff/71

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1. f12011052.png ; $\chi _ { k } ( z )$ ; confidence 0.238

2. a01081044.png ; $l$ ; confidence 0.238

3. f13009084.png ; $n = k r , k r + 1 , \dots,$ ; confidence 0.238

4. s13053080.png ; $r _ { P }$ ; confidence 0.238

5. w12008017.png ; $f ( q , p ) , g ( q , p ) \in S ( {\bf R} ^ { 2 n } )$ ; confidence 0.238

6. o13001042.png ; $f ( x ) = \frac { 1 } { ( 2 \pi ) ^ { 3 / 2 } } \int _ { {\bf R} ^ { 3 } } \hat { f } ( \xi ) u ( x , \xi ) d \xi , \xi : = k\alpha,$ ; confidence 0.238

7. z13013015.png ; $r \leq r_0$ ; confidence 0.238

8. s12034026.png ; $\operatorname{SH} ^ { * } ( M , \omega , \phi _ { 1 } ) \bigotimes \operatorname{SH} ^ { * } ( M , \omega , \phi _ { 2 } ) \rightarrow \operatorname{SH} ^ { * } ( M , \omega , \phi _ { 2 } . \phi _ { 1 } )$ ; confidence 0.238

9. m130140139.png ; $f ( z ) = ( L f ) ( z ) = ( L _ { F_n } f ) ( z ) =$ ; confidence 0.238

10. a110580133.png ; $n_0$ ; confidence 0.237

11. d03179058.png ; $K ^ { n }$ ; confidence 0.237

12. l12013082.png ; $f _ { 1 } , \dots , f _ { m } \in \tilde{\bf Z} [ X _ { 1 } , \dots , X _ { n } ]$ ; confidence 0.237

13. c1200206.png ; $u _ { t } ( x ) = t ^ { - n } u ( x / t )$ ; confidence 0.237

14. b13026098.png ; $H _ { n } ( S ^ { n } )$ ; confidence 0.237

15. z12001092.png ; $c = \operatorname { ad } e _ { - 1 } ^ { p ^ { m } - 1 } ( e _ { p ^ { m } - 2 } ^ { ( p + 1 ) / 2 } )$ ; confidence 0.237

16. c11014018.png ; $a _ { 1 } , \dots , a _ { m }$ ; confidence 0.237

17. c0214503.png ; $\tilde{Y}$ ; confidence 0.237

18. a12008023.png ; $a ( u , v ) = \int _ { \Omega } [ \sum _ { i , j = 1 } ^ { m } a _ { i , j } \frac { \partial u } { \partial x _ { i } } \frac { \partial \bar{v} } { \partial x _ { j } } + c ( x ) u \bar{v} ] d x$ ; confidence 0.237

19. a13013020.png ; $Q_0$ ; confidence 0.237

20. i13003069.png ; $P _ { b }$ ; confidence 0.237

21. b13020044.png ; $a _ { i j } = 0$ ; confidence 0.237

22. c120180268.png ; $\operatorname{S} ^ { 2 } \cal E \subset \otimes ^ { * } E$ ; confidence 0.237

23. p12014011.png ; $a _ { n } = \lambda \theta ^ { n } + \epsilon _ { n }$ ; confidence 0.237

24. k05508015.png ; $h = \sum _ { \mu , \nu } h _ { \mu \nu } ( z ) d z _ { \mu } \bigotimes d \bar{z} _ { \nu },$ ; confidence 0.237

25. n067520495.png ; $P \in {\bf Z} ^ { l }$ ; confidence 0.237

26. a013000103.png ; ${\bf C} ^ { 1 }$ ; confidence 0.237

27. c12017099.png ; $Z ^ { n + k + 1 } = \sum a_{i j } \bar{Z} ^ { i } Z ^ { j + k }$ ; confidence 0.237

28. c0211101.png ; $H ^ { n } ( X ; G ) = \operatorname { lim } _ { \to } H ^ { n } ( \alpha ; G )$ ; confidence 0.237

29. l13010037.png ; $f _ { s \text{l} t } ( x )$ ; confidence 0.237

30. s12022036.png ; $\sum _ { k = 0 } ^ { \infty } \operatorname { exp } ( - \lambda _ { j } t ) \sim ( 4 \pi t ) ^ { - \operatorname { dim } ( M ) / 2 } \sum _ { k = 0 } ^ { \infty } a _ { k } t ^ { k }$ ; confidence 0.237

31. s13065045.png ; $F _ { \mu } ( z ) = \frac { 1 } { 2 \pi } \int _ { - \pi } ^ { \pi } R ( e ^ { i \theta } , z ) d \mu ( \theta )$ ; confidence 0.237

32. b12021033.png ; $+ \sum _ { 1 \leq i < j \leq k } ( - 1 ) ^ { i + j } X \bigotimes [ X , X _ { j } ] \bigwedge$ ; confidence 0.236

33. f110160167.png ; $\psi _ { \mathfrak { A } } ^ { l } e$ ; confidence 0.236

34. d03029016.png ; $E _ { n } ( f ) = \operatorname { inf } _ { c _ { k } } \operatorname { sup } _ { x \in Q } | f ( x ) - \sum _ { k = 0 } ^ { n } c _ { k } s _ { k } ( x ) | \geq$ ; confidence 0.236

35. z13011058.png ; $R _ { n } \stackrel { \omega } { \rightarrow } R \text { and } \operatorname { lim } _ { \varepsilon \rightarrow 0 } \operatorname { sup } _ { n } \int _ { 0 } ^ { \varepsilon } z R _ { n } ( d z ) = 0,$ ; confidence 0.236

36. e13003059.png ; ${\bf C} ^ { r }$ ; confidence 0.236

37. e13007076.png ; $S \ll ( T / N ) ^ { p } N ^ { q }$ ; confidence 0.236

38. s12023050.png ; $\frac { \Gamma _ { p } [ \frac { \delta + n + p - 1 } { 2 } ] } { ( 2 \pi ) ^ { n p / 2 } | \Sigma | ^ { n / 2 } \Gamma _ { p } [ \frac { \delta + p - 1 } { 2 } ] }.$ ; confidence 0.236

39. t130140178.png ; $| I _ { C } |$ ; confidence 0.236

40. t12007056.png ; $\operatorname { Tr } ( g |_{ V _ n} ) = a _ { n } ( g )$ ; confidence 0.236

41. w130080122.png ; $\hat{T} _ { n } = T _ { n } T _ { 1 } ^ { - 1 } , \hat { u } _ { k } = T _ { 1 } ^ { k } u _ { k },$ ; confidence 0.236

42. m12009043.png ; $( P ( D ) ( \phi ) ) _ { \wedge } ( \xi ) = P ( \xi ) \widehat { \phi } ( \xi )$ ; confidence 0.235

43. a130240370.png ; $=$ ; confidence 0.235

44. w120110226.png ; $S _ { 1,1 } ^ { 0 }$ ; confidence 0.235

45. t12007092.png ; $\sum _ { i \geq 0 } \left( \begin{array} { c } { m } \\ { i } \end{array} \right) ( u _ { q + i } v ) _ { m + n - i } w =$ ; confidence 0.235

46. b01655026.png ; $\lambda _ { n }$ ; confidence 0.235

47. f1201106.png ; ${\cal P} _{ * } ^ { -\delta }$ ; confidence 0.235

48. d12026021.png ; $\xi _ { n , k }$ ; confidence 0.234

49. s13054016.png ; $x _ { i j } ( a ) x _ {i j } ( b ) = x _ { i j } ( a + b )$ ; confidence 0.234

50. m13013025.png ; $l_{i j}$ ; confidence 0.234

51. b11034011.png ; $e_k$ ; confidence 0.234

52. n067520441.png ; $\dot { u } _ { i } = \tilde { \psi } _ { i } ( U ) + \tilde { \phi } _ { i } ( U ) , \quad i = 1 , \ldots , n,$ ; confidence 0.234

53. a130040163.png ; $\langle {\bf A} , F \rangle$ ; confidence 0.234

54. l1200505.png ; $\operatorname{Re}$ ; confidence 0.234

55. b12013057.png ; $L _ { \alpha } ^ { p } ( G ) = L _ { \alpha } ^ { p }$ ; confidence 0.234

56. h13007034.png ; $\alpha _ { i } \in { k }$ ; confidence 0.234

57. n06663037.png ; $H _ { p } ^ { r } ( M _ { 1 } , \dots , M _ { n } ; \Omega )$ ; confidence 0.233

58. x12001040.png ; $G _ { \text { inn } } = G \cap \operatorname { lnn } ( R )$ ; confidence 0.233

59. l0600404.png ; $| r _ { 1 } | \gg \ldots \gg | r _ { n } |.$ ; confidence 0.233

60. b1302309.png ; $H _ { n + 1}$ ; confidence 0.233

61. s12020023.png ; $\left. \begin{array} { l l l l l l l l l } { 1 } & { 2 } & { 3 } & { 4 } & { } & { 9 } & { 2 } & { 3 } & { 6 } \\ { 5 } & { 6 } & { 7 } & { \square } & { \text { and } } & { 7 } & { 1 } & { 4 } & { \square } \\ { 8 } & { \square } & { \square } & { \square } & { } & { 5 } & { \square } & { \square } & { \square } \\ { 9 } & { \square } & { \square } & { \square } & { } & { 8 } & { \square } & { \square } & { \square } \end{array} \right.$ ; confidence 0.233

62. a01130023.png ; $\tilde { M }$ ; confidence 0.233

63. k055840365.png ; ${\cal K} = {\bf C} ^ { 2 n }$ ; confidence 0.233

64. g13006039.png ; $| x _ { i } | = \operatorname { max } _ { 1 \leq j \leq n } | x _ { j } |$ ; confidence 0.233

65. c12021020.png ; $P _ { n } \approx P _ { n } ^ { \prime }$ ; confidence 0.233

66. l1202008.png ; $\cup _ { i = 1 } ^ { m } A _ { i } \cup ( - A _ { i } ) = S ^ { n }$ ; confidence 0.233

67. s13059038.png ; $P _ { n } = M [ \frac { Q _ { n } ( t ) - Q _ { n } ( z ) } { t - z } ] , n = 0,1 ,\dots .$ ; confidence 0.233

68. b13010043.png ; $L _ { \alpha } ^ { 2 } ( D )$ ; confidence 0.232

69. v120020225.png ; $\delta ^ { * } : H ^ { n } ( \Gamma _ { S ^ { n } } ) \rightarrow H ^ { n + 1 } ( \Gamma _ { \bar{D} \square ^ { n + 1 } } , \Gamma _ { S ^ { n } } )$ ; confidence 0.232

70. o13006067.png ; $H = \vee_{ k _ { 1 } , k _ { 2 } = 0}^\infty A _ { 1 } ^ { k _ { 1 } } A _ { 2 } ^ { k _ { 2 } } \Phi ^ { * } {\cal E}$ ; confidence 0.232

71. p13007051.png ; $u| _ { \partial D } = f$ ; confidence 0.232

72. s13053084.png ; $n = a _ { 1 } + \ldots + a _ { s }$ ; confidence 0.232

73. b12043040.png ; $\Delta x = x \bigotimes 1 + 1 \bigotimes x$ ; confidence 0.232

74. a13018064.png ; ${\bf Alg}_\models( L _ { n } )$ ; confidence 0.232

75. d120020148.png ; $c ^ { T } \overline{x} + \overline { u } _1^ { T } ( A _ { 1 } \overline{x} - b _ { 1 } ) < \overline { q }$ ; confidence 0.232

76. a13004024.png ; $\Delta \vdash_{\cal D} \varphi$ ; confidence 0.232

77. b12001015.png ; $B _ { i } ( x _ { m } , u , u _ { m } , u _ { m n } : x _ { m } ^ { \prime } , u ^ { \prime } , u _ { m } ^ { \prime } , u _ { m n } ^ { \prime } ) = 0,$ ; confidence 0.231

78. t13005046.png ; $K ( A , {\cal X} ) : 0 \rightarrow \Lambda ^ { 0 } ( {\cal X} ) \stackrel { D _ { A } ^ { 0 } } { \rightarrow } \ldots \stackrel { D _ { A } ^ { n - 1 } } { \rightarrow } \Lambda ^ { n } ( {\cal X} ) \rightarrow 0,$ ; confidence 0.231

79. f12016016.png ; $\sigma _ { \text { lre } } ( T )$ ; confidence 0.231

80. b13021019.png ; $g _ { ab }$ ; confidence 0.231

81. p12017013.png ; $\operatorname { ker } \delta _ { A , B } \subseteq \operatorname { ker } \delta _ { A^* , B^* }$ ; confidence 0.231

82. w12001028.png ; $[ L _ { n } , L _ { m } ] = ( n - m ) L _ { n + m } + \frac { 1 } { 12 } ( n ^ { 3 } - n ) \delta _ { n , - m } . C ^ { \prime },$ ; confidence 0.231

83. f12020014.png ; $e _ { 1 } , \dots , e _ { n } , - ( a _ { 0 } e _ { 1 } + \ldots + a _ { n - 1} e _ { n } )$ ; confidence 0.231

84. a13006044.png ; $P _ { q } ^\# ( n ) = \frac { 1 } { n } \sum _ { r | n } \mu ( r ) q ^ { n / r }$ ; confidence 0.230

85. g13003055.png ; ${\cal I} _ { 0 , loc } = \{ ( u _ { j } ) _ { j \in \bf N }$ ; confidence 0.230

86. b01540047.png ; $Z _ { 1 } , \dots , Z _ { m }$ ; confidence 0.230

87. k13001041.png ; $A \langle D _ { + } \rangle - A ^ { - 1 } \langle D _ { - } \rangle = ( A ^ { 2 } - A ^ { - 2 } ) \langle D _ { 0 } \rangle$ ; confidence 0.230

88. a13004022.png ; $\Delta \vdash _ {\cal D } \psi$ ; confidence 0.230

89. w12010031.png ; $\square ^ { \prime \prime } \Gamma _ { r k } ^ { t }$ ; confidence 0.230

90. b11059041.png ; $g_1$ ; confidence 0.230

91. b120430119.png ; $\Psi ( \alpha \bigotimes \beta ) = q \beta \bigotimes \alpha$ ; confidence 0.230

92. h11001013.png ; $ { L } = 1$ ; confidence 0.230

93. s13041042.png ; $( Q _ { n } )$ ; confidence 0.230

94. c12007015.png ; $+\sum _ { i < n + 1 } ( - 1 ) ^ { n + 1 - i } \operatorname { pr }_{ ( \alpha _ { 1 } , \dots , \alpha _ { i + 1 } \alpha _ { i } , \ldots , \alpha _ { n + 1 } ) }+$ ; confidence 0.229

95. d120020136.png ; $\hat { \mathfrak { c } }_k^1< 0$ ; confidence 0.229

96. z130110144.png ; $\mu _ { n } \rightarrow \infty \quad \text { but } \frac { \mu _ { n } } { n } \rightarrow 0$ ; confidence 0.229

97. s12026023.png ; $D_t^*f = ( 0 , \delta _ { t } \widehat { \otimes } f ^ { n } ) _ { n \in \bf N }$ ; confidence 0.229

98. k13006031.png ; $\left( \begin{array} { c } { a _ { k - 1 } } \\ { k - 1 } \end{array} \right) \leq m - \left( \begin{array} { c } { a _ { k } } \\ { k } \end{array} \right)$ ; confidence 0.229

99. z13003076.png ; $g_{mb , na}$ ; confidence 0.229

100. q12007036.png ; $u _ { q } ( {\frak sl} _ { 2 } )$ ; confidence 0.229

101. d12028063.png ; $\tilde { D } = \{ w : w _ { 1 } z _ { 1 } + \ldots + w _ { n } z _ { n } \neq 1 , z \in D \}$ ; confidence 0.229

102. m12013068.png ; $\delta _ { ( 1 ) } < K _ { ( 1 ) } / K _ { ( 2 ) }$ ; confidence 0.229

103. o130060146.png ; $\tilde{\frak E}$ ; confidence 0.229

104. d13005012.png ; $2 ^ { r ( m - 1 ) + 2 m}$ ; confidence 0.229

105. b11045014.png ; $u_i$ ; confidence 0.229

106. o130010155.png ; $\tilde { \chi } ( \xi ) = \frac { 8 \pi } { \xi ^ { 2 } } \operatorname { lim } _ { \varepsilon \downarrow 0 } \int _ { S ^ { 2 } } A ( \theta ^ { \prime } , \alpha ) v _ { \varepsilon } ( \alpha , \theta ) d \alpha$ ; confidence 0.228

107. m12016066.png ; $t \in {\bf R} ^ { p _ { 1 } n _ { 1 } }$ ; confidence 0.228

108. i13005036.png ; $a ( - k ) = \overline { a ( k ) } , b ( - k ) = \overline { b ( k ) },$ ; confidence 0.228

109. m13018031.png ; $n/m$ ; confidence 0.228

110. a130240536.png ; ${\bf Z} _ { i3 }$ ; confidence 0.228

111. x120010101.png ; $\operatorname { Aut } ( R ) / \operatorname { lnn } ( R ) \cong H$ ; confidence 0.228

112. q12001038.png ; $\sum _ { k } \sum _ { l } \overline { c } _ { k } c _ { l } S ( f _ { k } - \overline { f } _ { l } ) \geq 0$ ; confidence 0.228

113. o130060120.png ; $\Phi ^ { * } ( \xi _ { 1 } \sigma _ { 1 } + \xi _ { 2 } \sigma _ { 2 } ) | _ { \mathfrak { E } ( \lambda ) } : \mathfrak { E } ( \lambda ) \rightarrow \tilde { \mathfrak { E } } ( \lambda ),$ ; confidence 0.228

114. p1301008.png ; $\hat { K } = \{ z \in {\bf C} ^ { n } : | P ( z ) | \leq \| P \| _ { K } , \forall P \in {\cal P} \},$ ; confidence 0.228

115. i13004018.png ; $\frak bt$ ; confidence 0.228

116. s09067093.png ; $\theta \rightarrow g \theta = ( g _ { a } ^ { i } d u ^ { a } )$ ; confidence 0.228

117. e12002048.png ; ${\frak map} * ( ., . )$ ; confidence 0.227

118. a01166066.png ; $x _ { 2 } , \dots , x _ { n }$ ; confidence 0.227

119. v13005092.png ; $v \in V_{( n )}$ ; confidence 0.227

120. k13002048.png ; $\tau = 4 \int _ { 0 } ^ { 1 } \int _ { 0 } ^ { 1 } C _ { X , Y } ( u , v ) d C _ { X , Y } ( u , v ) - 1,$ ; confidence 0.227

121. s130510146.png ; $\infty ( L _ { 1 } ) \bigoplus \infty ( L _ { 2 } ) = \infty ( L _ { 2 } ) \bigoplus \infty ( L _ { 1 } ) = \infty ( \emptyset ).$ ; confidence 0.227

122. b12030032.png ; ${\cal A} = - \sum _ { k , l = 1 } ^ { N } \frac { \partial } { \partial y _ { k } } ( a _ { k l } ( y ) \frac { \partial } { \partial y_l } ),$ ; confidence 0.226

123. n12011062.png ; $\xi ( ., \dots , . )$ ; confidence 0.226

124. a13031078.png ; $\mu _ { n } ( X )$ ; confidence 0.226

125. s13050021.png ; $\frac { | \nabla ( {\cal A} ) | } { \left( \begin{array} { c } { n } \\ { l + 1 } \end{array} \right) } \geq \frac { | {\cal A} | } { \left( \begin{array} { l } { n } \\ { l } \end{array} \right) }.$ ; confidence 0.226

126. h13002055.png ; $\{ w ( a ) \} _ { a \in A }$ ; confidence 0.226

127. s120230153.png ; $( X A _ { 1 } X ^ { \prime } , \ldots , X A _ { s } X ^ { \prime } ) \sim L _ { s } ^ { ( 1 ) } ( f _ { 1 } , \frac { n _ { 1 } } { 2 } , \dots , \frac { n _ { s } } { 2 } ),$ ; confidence 0.226

128. f11016049.png ; $f _ { \mathfrak { B } }$ ; confidence 0.226

129. a120270119.png ; $\rho : G \rightarrow S p _ { 2 n } ( C ) \rightarrow G l _ { 2 n } ( C )$ ; confidence 0.226

130. a11032018.png ; $e ^ { z }$ ; confidence 0.225

131. c1200309.png ; $f (. , x ) : J \rightarrow {\bf R} ^ { m }$ ; confidence 0.225

132. a130040415.png ; $\operatorname { Mod } ^ { * \text{L}} {\cal D }$ ; confidence 0.225

133. o130010153.png ; $\tilde { \chi } ( \xi )$ ; confidence 0.225

134. b130200104.png ; $a \in \mathfrak { g } ^ { \alpha }$ ; confidence 0.225

135. b13023021.png ; $M _ { n } = m _ { 0 } \ldots m _ { n - 1}$ ; confidence 0.225

136. c1102508.png ; $e_0$ ; confidence 0.225

137. t13014064.png ; ${\cal G} \operatorname{l} _ { Q } ( d ) = \prod _ { j \in Q _ { 0 } } \operatorname{Gl} ( v _ { j } , K )$ ; confidence 0.225

138. t12020022.png ; $\operatorname { inf } _ { z _ { j } } \operatorname { max } _ { k \in S } ( \frac { | \sum _ { j = 1 } ^ { n } b _ { j } z _ { j } ^ { k } | \psi ( k , n ) } { M _ { d } ( k ) } ) ^ { 1 / k }$ ; confidence 0.225

139. t12020063.png ; $R _ { n } = \operatorname { min } _ { z _ { j } } \operatorname { max } _ { k = 1 , \ldots , n } | s _ { k } |$ ; confidence 0.225

140. c02327021.png ; $p \in I$ ; confidence 0.224

141. d12030013.png ; $g : {\bf R} _ { + } \times {\bf R} ^ { m } \rightarrow {\cal L} ( {\bf R} ^ { m } , {\bf R}^ { m } )$ ; confidence 0.224

142. f04049018.png ; $\nu _ { 2 } / 2$ ; confidence 0.224

143. c13015014.png ; $\alpha \in {\bf N} _ { 0 } ^ { n }$ ; confidence 0.224

144. r130080135.png ; $\sum _ { j = 1 } ^ { \infty } \lambda _ { j } ^ { - 1 } ( u , \varphi_j ) _ { 0 } \varphi _ { j } ( x ) = \sum _ { j = 1 } ^ { \infty } w _ { j } \varphi _ { j } ( x ) = w ( x )$ ; confidence 0.224

145. v09604019.png ; $\operatorname{P} ( Y (T ) ) \operatorname{P} ( Z < T )$ ; confidence 0.224

146. b12002030.png ; $X _ { i } = Q ( U _ { i } )$ ; confidence 0.224

147. b12003038.png ; $\tilde{g}$ ; confidence 0.224

148. g12007040.png ; $K O _ { m } ( {\bf R} \pi ) = {\cal Z} _ { m } ^ { \pi } / i ^ { * } {\cal Z} _ { m + 1 } ^ { \pi }$ ; confidence 0.224

149. h04758011.png ; $x _ { \nu }$ ; confidence 0.223

150. a0105503.png ; $g \in G$ ; confidence 0.223

151. a11016098.png ; $\kappa$ ; confidence 0.223

152. j13002025.png ; $- \operatorname{E} X ( 1 + o ( 1 ) )$ ; confidence 0.223

153. c12030068.png ; ${\cal B} \rtimes _ { \alpha } {\bf Z} \simeq {\cal O} _ { n } \otimes \cal K$ ; confidence 0.223

154. t1301303.png ; $\operatorname{p.dim } _ { \Lambda } T \leq 1$ ; confidence 0.223

155. r13014028.png ; $f ( x ) \mapsto ( S ^ { \alpha } f ) ( x ) = \int _ { | \xi | \leq 1 } \hat { f} ( \xi ) ( 1 - | \xi | ^ { 2 } ) ^ { \alpha } e ^ { 2 \pi i x . \xi } d \xi, $ ; confidence 0.223

156. f13009025.png ; $\left. \begin{cases}{ U _ { 0 } ( x , y ) = 0 ,}\\{ U _ { 1 } ( x , y ) = 1, }\\{ U _ { n } ( x , y ) = x U _ { n - 1 } ( x , y ) + y U _ { n - 2 } ( x , y ), }\\{ n = 2 , 3 , \ldots ,}\end{cases} \right.$ ; confidence 0.223

157. d12005068.png ; $C \subset \operatorname{Ext} \subset \operatorname{ACS} \subset\operatorname{Conn} \subset D,$ ; confidence 0.223

158. a12003012.png ; $x - a | < b - a$ ; confidence 0.223

159. r1300904.png ; ${\bf a} = ( a _ { 1 } , \dots , a _ { n } ) \in {\bf R} ^ { n } \backslash \{ 0 \}$ ; confidence 0.222

160. p12017042.png ; $X \in \operatorname{ker} \delta _ { A^ * , B ^*}$ ; confidence 0.222

161. e1300505.png ; $\partial _ { x } u$ ; confidence 0.222

162. a130050159.png ; $c ^ { - z }$ ; confidence 0.222

163. l057000146.png ; $\Gamma \vdash N : \sigma$ ; confidence 0.222

164. l05702059.png ; $k = \overline { k } _ { s }$ ; confidence 0.221

165. d12020013.png ; $\sum _ { { m } = 1 } ^ { { n } } m ^ { - s }$ ; confidence 0.221

166. s120320101.png ; $\wedge ^ { n } V$ ; confidence 0.221

167. s12005091.png ; $w _ { 1 } , \dots , w _ { n } \in \Omega$ ; confidence 0.221

168. b12042064.png ; $\operatorname{ev} _ { V } : V ^ { * } \otimes V \rightarrow \underline { 1 }$ ; confidence 0.221

169. w09759034.png ; $\phi = \sum \phi _ { v } : \operatorname{WC} ( A , k ) \rightarrow \sum _ { v } \operatorname{WC} ( A , k _ { v } ),$ ; confidence 0.221

170. b12009054.png ; $= \{ \frac { m } { 1 + a ^ { 2 } } \int _ { 0 } ^ { z } \frac { p _ { 1 } ( s ) - a i } { s ^ { 1 - \frac { m } { 1 + a i } } } e ^ { \frac { m } { 1 + a ^ { 2 } } \int _ { 0 } ^ { s } \frac { p _ { 0 } ( t ) - 1 } { t } d t } d s \}^{\frac{1+ai}{m}},$ ; confidence 0.221

171. a12027065.png ; $h _ { P }$ ; confidence 0.221

172. j13002020.png ; $\epsilon = \operatorname { max } \operatorname{E} I_A$ ; confidence 0.221

173. w12014031.png ; $n < \aleph_0$ ; confidence 0.221

174. c13006036.png ; $W = \langle A _ { 1 } , \dots , A _ { r } \rangle$ ; confidence 0.221

175. t13014072.png ; $q_Q ( v ) = \operatorname { dim } {\cal G}\operatorname{l} _ { Q } ( v ) - \operatorname { dim } {\cal A} _ { Q } ( v )$ ; confidence 0.221

176. t13014079.png ; $q_{\cal B} : {\bf Z} ^ { n } \rightarrow {\bf Z}$ ; confidence 0.220

177. t13004026.png ; $y _ { n } ^ { * } ( x )$ ; confidence 0.220

178. l120120215.png ; ${\bf Z} _ { \text{tot} S }$ ; confidence 0.220

179. h04807023.png ; $T ^ { 2 } = \frac { Y ^ { 2 } } { \chi _ { n } ^ { 2 } / n } = t _ { n } ^ { 2 },$ ; confidence 0.220

180. t12013013.png ; $\frac { \partial L _ { i } } { \partial x _ { n } } = [ ( L _ { 1 } ^ { n } ) _ { + } , L _ { i } ],$ ; confidence 0.220

181. w120090252.png ; ${\frak h} ^ { * } = \operatorname{Hom} _ {\bf C } ( h , {\bf C} )$ ; confidence 0.220

182. e12027026.png ; $a \leq y _ { 1 } < x _ { 1 } < y _ { 2 } < x _ { 2 } < \ldots < x _ { m } < y _ { m + 1 } \leq b.$ ; confidence 0.220

183. a130040114.png ; $T , \psi \vdash _ {\cal D } \varphi$ ; confidence 0.220

184. g130040177.png ; $T _ { X }$ ; confidence 0.219

185. f13024011.png ; $L ( a , b ) c = \langle a b c \rangle$ ; confidence 0.219

186. s13066019.png ; $\operatorname { span } \{ z ^ { - n - 1 } , \dots , z ^ { - 1 } , 1 , z , \dots , z ^ { n - 1 } \}$ ; confidence 0.219

187. a130240383.png ; $F$ ; confidence 0.219

188. k13002030.png ; $( x_j, y_j )$ ; confidence 0.219

189. l120120106.png ; ${\cal U} _ { \mathfrak { p } }$ ; confidence 0.219

190. d1300605.png ; $\operatorname{Bel}: 2 ^ { \Xi } \rightarrow [ 0,1 ]$ ; confidence 0.219

191. a12028024.png ; $\operatorname{sp} _ { U } ( x )$ ; confidence 0.219

192. z13001036.png ; $z ^ { n - 1 } \tilde{x}(z)$ ; confidence 0.219

193. j13003090.png ; $z \mapsto z - 2 \{ a a z \} + \{ a \{ a z a \} a \}$ ; confidence 0.219

194. g130040129.png ; ${\bf M} ( S ) = \int \theta ( x ) d {\cal H} ^ { m } | _ { R ( x ) }$ ; confidence 0.219

195. b130010101.png ; $Z \in {\cal H} _ { n }$ ; confidence 0.218

196. f120230131.png ; $= \frac { 1 } { k ! l ! } \sum _ { \sigma } \operatorname { sign } \sigma \times \times [ K ( X _ { \sigma 1 } , \ldots , X _ { \sigma k } ) , L ( X _ { \sigma ( k + 1 ) } , \ldots , X _ { \sigma ( k + 1 ) } ) ] +$ ; confidence 0.218

197. b01501019.png ; $j _ { r } \circ \phi _ { r } = \phi _ { r + 1 } \circ g _ { r }$ ; confidence 0.218

198. e12016018.png ; $d \mu _ { h }$ ; confidence 0.218

199. p1102006.png ; $a_4$ ; confidence 0.218

200. a01020082.png ; $\frak U$ ; confidence 0.218

201. w12003015.png ; ${\bf l}_1 ( \Gamma )$ ; confidence 0.218

202. c12008072.png ; $\Delta ( A , E ) = \sum _ { i = 0 } ^ { m } I \bigotimes D _ { i , n - i } A ^ { i } E ^ { m - i } = 0.$ ; confidence 0.218

203. w120110167.png ; $\operatorname { sup } _ { x \in K \atop \xi \in {\bf R} ^ { n } } | ( D _ { x } ^ { \alpha } D _ { \xi } ^ { \beta } r _ { m - 2 } ) ( x , \xi ) | ( 1 + | \xi | ) ^ { 2 - m + | \beta | } < \infty.$ ; confidence 0.218

204. g13001058.png ; $\operatorname { Tr } _ { E / F } ( \beta _ { i } \gamma _ { j } ) = \delta _ { i j } \text { for } i , j = 0 , \dots , n - 1.$ ; confidence 0.218

205. b12017024.png ; $L _ { \alpha } ^ { p }$ ; confidence 0.217

206. c12017093.png ; $Z ^ { n + 1 } = p ( Z , \overline{Z} ) \equiv \sum _ { 0 \leq i + j \leq n } \alpha _ { i j } \overline{Z} ^ { i } Z ^ { j }$ ; confidence 0.217

207. q12007041.png ; $\Delta E = E \bigotimes g + 1 \otimes E , \epsilon E = 0 , S E = - E g ^ { - 1 } , \Delta F = F \bigotimes 1 + g ^ { - 1 } \bigotimes F , \epsilon F = 0 , S F = - g F,$ ; confidence 0.217

208. a13018026.png ; $\operatorname{Fm} _ { \cal L }$ ; confidence 0.217

209. b13029019.png ; $I ( M ) = {\bf l } _ { A } ( M / \mathfrak { q } M ) - e _ { \mathfrak { q } } ^ { 0 } ( M )$ ; confidence 0.217

210. c13014045.png ; $p _ { i,j } ^ { k }$ ; confidence 0.217

211. b12050021.png ; $W ^ { \circ }$ ; confidence 0.217

212. t12021026.png ; $t ( M ; 2,2 ) = 2 ^ { | E | }$ ; confidence 0.217

213. p12015042.png ; ${\bf R} ^ { n }$ ; confidence 0.217

214. a12008073.png ; $\left. \begin{cases} { ( \frac { d ^ { 2 } u } { d t ^ { 2 } } , v ) _ { L ^ { 2 } } + a ( u , v ) = ( f ( t ) , v ) _ { L ^ { 2 } } }, \\ { \text { a.e. } t \in [ 0 , T ] , v \in V ,} \\ { u ( 0 ) = u _ { 0 } , \frac { d u } { d t } ( 0 ) = u _ { 1 }. } \end{cases} \right.$ ; confidence 0.217

215. c120180465.png ; $\pi ^ { * _ { 0 }} g \in \operatorname{S} ^ { 2 } {\cal E} _ { 0 }$ ; confidence 0.217

216. l05700061.png ; $( \lambda x _ { 1 } ( \lambda x _ { 2 } \ldots ( \lambda x _ { n } M ) \ldots ) )$ ; confidence 0.217

217. c13013010.png ; $A = \frac { \partial Q } { \partial L } . \frac { 1 } { 1 - \alpha } . { k } ^ { - \alpha }$ ; confidence 0.216

218. d12011012.png ; ${\bf N} \times {\bf N}$ ; confidence 0.216

219. d120280109.png ; $H ^ { n , n - 1 } ( {\bf C} ^ { n } \backslash D )$ ; confidence 0.216

220. f130290142.png ; $( f , \phi ) ^ { \leftarrow } ( b ) = \phi ^ { \text{op} } \circ b \circ f$ ; confidence 0.216

221. m11002046.png ; $X \subseteq { Q }$ ; confidence 0.216

222. c12030049.png ; ${\cal T} _ { n }$ ; confidence 0.216

223. b12036025.png ; $= \frac { \operatorname { exp } ( - \frac { ( p _ { x } ^ { 2 } + p _ { y } ^ { 2 } + p _ { z } ^ { 2 } ) } { 2 m k _ { B } T } ) d p _ { x } d p _ { y } d p _ { z } } { \int \int \int _ { - \infty } ^ { \infty } \operatorname { exp } ( \frac { - ( p _ { x } ^ { 2 } + p _ { y } ^ { 2 } + p _ { z } ^ { 2 } ) } { 2 m k _ { B } T } ) d p _ { x } d p _ { y } d p _ { z } }$ ; confidence 0.216

224. f130100104.png ; $e \in U$ ; confidence 0.215

225. c12026084.png ; $U _ { k } ^ { n }$ ; confidence 0.215

226. m13020044.png ; $\langle J ( x ) , X \rangle = j ( X ) ( x ) , H _ { j ( X ) }= \alpha ^ { \prime } ( X ),$ ; confidence 0.215

227. b1300703.png ; $\operatorname{BS} ( m , n ) = \langle a , b | a ^ { - 1 } b ^ { m } a = b ^ { n } \rangle,$ ; confidence 0.215

228. b12009059.png ; $g ( z ) = z e ^ { \int _ { 0 } ^ { z } \frac { p _ { 0 } ( t ) - 1 } { t } d t } \in S^*,$ ; confidence 0.215

229. i12001010.png ; $\Phi ^ { * } ( t ) = \int _ { 0 } ^ {| t | } g _ { \Phi } ( s ) d s$ ; confidence 0.214

230. a130040642.png ; $\langle {\bf M e} _ { {\cal S} _ { P } } ^ { * \text{L} } \mathfrak { M } , F _ { {\cal S} _ { P } } ^ { * \text{L} } \mathfrak { M } \rangle$ ; confidence 0.214

231. c02007018.png ; $L _ { p } ( {\bf R} ^ { n } )$ ; confidence 0.214

232. a130040808.png ; $\operatorname{Alg} \operatorname{Mod}^{*\text{L}} \cal DS$ ; confidence 0.214

233. b13020093.png ; $\omega \mathfrak { g } ^ { \alpha } = \mathfrak { g } ^ { - \alpha}$ ; confidence 0.214

234. w13010048.png ; $( 0 , \kappa _ { a} )$ ; confidence 0.214

235. e13003081.png ; $\overset{\sim}{\to}\operatorname { Hom } _ { K _ { \infty } } ( \Lambda ^ { \bullet } ( \mathfrak { g } / \mathfrak { k } ) , {\cal C} _ { \infty } ( \Gamma \backslash G ( {\bf R} ) \bigotimes {\cal M} _ {\bf C } ) )$ ; confidence 0.214

236. w120110134.png ; $\operatorname { sup } _ {\substack{ ( x , \xi ) \in {\bf R} ^ { 2 n }} \\{0<h\leq 1} , } | D _ { x } ^ { \alpha } D _ { \xi } ^ { \beta } \alpha ( x , \xi , h ) | h ^ { m - | \beta | } < \infty$ ; confidence 0.214

237. c12028011.png ; $\pi _ { n } ( X _ { n } , X _ { n - 1} , X )$ ; confidence 0.214

238. z1300305.png ; $Z _ { a } ( f )$ ; confidence 0.214

239. p12013015.png ; $K$ ; confidence 0.214

240. s13054036.png ; $\{ a , b \} = h ( a b ) h ( a ) ^ { - 1 } h ( b ) ^ { - 1 }$ ; confidence 0.214

241. d130060125.png ; $\operatorname{Bel}_X$ ; confidence 0.214

242. c120180473.png ; $\tilde{g} \in \operatorname{S} ^ { 2 } \tilde{\cal E}$ ; confidence 0.214

243. f04066036.png ; $S _ { 1 } , \ldots , S _ { m }$ ; confidence 0.214

244. t12006012.png ; $+\frac { 1 } { 2 } \int _ { {\bf R} ^ { 3 } } \int _ { {\bf R} ^ { 3 } } \frac { \rho ( x ) \rho ( y ) } { | x - y | } d x d y + U$ ; confidence 0.214

245. n06752088.png ; $A \in M _ { m \times n } ( K ) \subset M _ { m \times n } ( \tilde { K } )$ ; confidence 0.213

246. f13019042.png ; $O ( N ^ { d } \operatorname { log } N )$ ; confidence 0.213

247. d12030047.png ; $\operatorname{E} [ \gamma ( X ( t ) ) | \sigma ( Y ( u , u \leq t ) ] = \frac { \operatorname{E} _ { \mu _ { X } } [ \gamma ( X ( t ) ) \psi ( t ) ] } { \operatorname{E} _ { \mu _ { X } } [ \psi ( t ) ] }.$ ; confidence 0.213 NOTE: it should probably be \sigma ( Y ( u , u \leq t ))]

248. c120180475.png ; $\tilde{g} | _ { N _ { 0 } \times \{ 0 \}}$ ; confidence 0.213

249. l05700014.png ; $\lambda x M$ ; confidence 0.213

250. d12024091.png ; ${\frak sl} ( n , {\bf C} )$ ; confidence 0.213

251. h13003075.png ; $O (n \operatorname{log} ^ { 2 } n )$ ; confidence 0.213

252. s13049065.png ; $| N _ { 0 } | = | N _ { r(P) } | \leq | N _ { 1 } | = | N _ { r ( P ) - 1} | \leq \dots$ ; confidence 0.213

253. b12028018.png ; $g = B . O . \frac { S _ { 1 } } { S _ { 2 } }$ ; confidence 0.213

254. s12032066.png ; $m a = ( - 1 ) ^ { p ( m ) p ( a ) } a m$ ; confidence 0.213

255. b12050023.png ; ${\bf l} ( t , x )$ ; confidence 0.213

256. c12008043.png ; $\sum _ { l = 0 } ^ { m } ( I _ { m } \bigotimes D _ { m - i } ) [ A _ { 1 } ^ { i + 1 } , A _ { 1 } ^ { i } A _ { 2 } ] = 0 ( D _ { 0 } = I _ { n } ).$ ; confidence 0.213

257. c13009011.png ; $j = 0 , \dots , N$ ; confidence 0.213

258. s120340115.png ; $\tilde{x}_-$ ; confidence 0.213

259. k13002025.png ; $U = \sum _ { u } u ( u - 1 ) / 2$ ; confidence 0.213

260. f13021036.png ; $B ( G ) \cap C _ { 00 } ( G ; {\bf C} )$ ; confidence 0.212

261. w120110137.png ; $( a \# b ) ( x , \xi ) = r _ { N } ( a , b ) +$ ; confidence 0.212

262. a1103206.png ; $u _ { m + 1 } ^ { ( 1 ) } = u _ { m },$ ; confidence 0.212

263. a130040661.png ; $\operatorname{Me}\operatorname{Mod}{\cal S}_P= \{ {\bf M e} _ { {\cal S} _ { P } } {\frak M:M}\in \operatorname{Mod}_{{\cal S}_P}\}$ ; confidence 0.212

264. b110220113.png ; $\operatorname{det}_{\bf R} H _ {\cal D } ^ { i + 1 } ( X_{/ \bf R} , {\bf R} ( i + 1 - m ) )$ ; confidence 0.212

265. e12027019.png ; $\Lambda _ { m } ^ { \alpha , \beta , r , s }$ ; confidence 0.212

266. d11022040.png ; $\frac { G ( x , t ) } { ( x - x _ { 1 } ) ^ { r_1} \ldots ( x - x _ { m } ) ^ { r _ { m } } } > 0$ ; confidence 0.212

267. t120200139.png ; $\geq | z _ { k_1 } + 1 | \geq \ldots \geq | z _ { k } | = 1 \geq \ldots \geq | z _ { k _ { 2 } } - 1 | > > \frac { m } { m + n } \geq | z _ { k _ { 2 } } | \geq \ldots \geq | z _ { n } |.$ ; confidence 0.211

268. a13026026.png ; $q ^ { n }$ ; confidence 0.211

269. b12027035.png ; $\operatorname{P} ( X _ { 1 } = a+ n h \text { for some } n= 0,1 , \ldots ) = 1$ ; confidence 0.211

270. w12005036.png ; ${\cal A} \subset \langle x ^ { 1 } , \ldots , x _ { n } \rangle ^ { 2 }$ ; confidence 0.211

271. a13004085.png ; $\{ {\cal U} , h \}$ ; confidence 0.211

272. h13007044.png ; $\operatorname { deg } f _ { j + r} , \dots , \operatorname { deg } f _ { l } < \operatorname { deg } \Delta = r D.$ ; confidence 0.211

273. z13010075.png ; $\exists y \forall v ( ( v \in x \bigwedge ( \neg v = \emptyset ) ) \rightarrow \exists s \forall t ( ( t \in v \bigwedge t \in y ) \leftrightarrow s = t ) ).$ ; confidence 0.211

274. z1300505.png ; $R = k [ x _ { 1 } , \dots , x _ { n } ] / I$ ; confidence 0.211

275. t13014083.png ; $v \in {\bf N} ^ { n }$ ; confidence 0.211

276. b12030056.png ; $\phi ( . , \eta ) Y \square \text{ periodic}.$ ; confidence 0.211

277. f120110198.png ; $\tilde { \mathcal { Q } } = \tilde { \mathcal { Q } } ( D ^ { n } )$ ; confidence 0.211

278. l05700025.png ; $\lambda \bf x I$ ; confidence 0.210

279. w120110147.png ; $t _ { N } ( a , b ) \in S _ { \text{scl} } ^ { m _ { 1 } + m _ { 2 } - N }$ ; confidence 0.210

280. s13041066.png ; $Q _ { n } ( z ) / T _ { n } ( z ) \rightrightarrows 2 / \phi ^ { \prime } ( z )$ ; confidence 0.210

281. w120030145.png ; $\gamma _ { 0 } \in \Gamma _ { m }$ ; confidence 0.210

282. w120090271.png ; $e_{ii} - e_{i + 1 i + 1}$ ; confidence 0.210

283. a130070120.png ; $C(m\operatorname{log} n) ^{1 / \alpha}$ ; confidence 0.210

284. p13013057.png ; $ { k } _ { \pi }$ ; confidence 0.210

285. f12011086.png ; ${\cal Q} ( \Omega ) = \tilde {\cal O } ( U \# \Omega ) / \sum _ { j = 1 } ^ { n } \tilde {\cal O } ( U \#_j \Omega ),$ ; confidence 0.210

286. m13023015.png ; $S = \operatorname{Spec} k$ ; confidence 0.210

287. s09067019.png ; $M _ { A , B}$ ; confidence 0.210

288. h1300205.png ; $\{ w ^ { 1 } , \dots , w ^ { q } \} \subset A ^ { n }$ ; confidence 0.210

289. g120040101.png ; $d_{x , \xi} p _ { m } ( x , \xi ) = 0$ ; confidence 0.209

290. p130100132.png ; $\widehat{\Gamma}$ ; confidence 0.209

291. z1200205.png ; $F _ { n } = F _ { n - 1} + F _ { n - 2}$ ; confidence 0.209

292. a13013042.png ; $X _ { i } \in \operatorname { sl } _ { 2 } ( {\bf C} )$ ; confidence 0.209

293. p07452015.png ; $b \in P$ ; confidence 0.209

294. w130090108.png ; $\| \varphi \| _ { L ^ { 2 } ( \mu ) } ^ { 2 } = \sum _ { n = 0 } ^ { \infty } n ! | g _ { n } | _ { L^2 ( [ 0,1 ] ^ { n } ) } ^ { 2 } .$ ; confidence 0.209

295. o13005011.png ; $\Theta = \left( \begin{array} { l l l } { T } & { K } & { J } \\ { \mathfrak { H } } & { \square } & { \mathfrak{E} } \end{array} \right)$ ; confidence 0.209

296. e120240132.png ; $c_l$ ; confidence 0.209

297. b12051082.png ; $\operatorname{bfgsrec}$ ; confidence 0.209

298. m13008041.png ; $A ^ { \text{in / out} } ( f ) = \operatorname { lim } _ { t \rightarrow \pm \infty } A _ { f } ^ { t }$ ; confidence 0.209

299. b12037032.png ; $j _ { 1 } , \dots , j _ { r }$ ; confidence 0.208

300. n12011066.png ; $\eta ( y ) = \left\{ \begin{array} { l l } { \operatorname { sup } \{ \xi ( x ) : x \in {\bf R} ^ { n } , \psi ( x ) = y \} , } & { \psi ^ { - 1 } ( y ) \neq \emptyset ,} \\ { 0 , } & { \psi ^ { - 1 } ( y ) = \emptyset .} \end{array} \right.$ ; confidence 0.208

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/NoNroff/71. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/NoNroff/71&oldid=45684