Difference between revisions of "User:Maximilian Janisch/latexlist/latex/NoNroff/76"

Latest revision as of 01:43, 4 July 2020

List

1. ; $D _ { a } + D _ { a^{*} } ^ { t }$ ; confidence 0.089

2. ; $\prod _ { j } H _ { n_j } \left( \frac { \langle y ,\, f _ { j } \rangle } { \sqrt { 2 } } \right) ,$ ; confidence 0.089

3. ; $P _ { m } ^ { \prime } ( A _ { m } ) \rightarrow 1$ ; confidence 0.089

4. ; $\| \mathcal{H} ( u , v ) \| _ { L ^ { 2 } ( \mathbf{R} ^{n}) } = \| u \|_ { L ^ { 2 } ( \mathbf{R} ^{n}) } \| v \| _ { L ^ { 2 } ( \mathbf{R} ^{n}) } ,$ ; confidence 0.089

5. ; $\| F ( x ) \| _ { L^{\infty} ( \mathbf{R} _ { + } ) } + \| F ( x ) \| _ { L ^ { 1 } ( \mathbf{R} _ { + } ) } +$ ; confidence 0.088

6. ; $a _ { 1 } , \dots , a _ { m } \in R$ ; confidence 0.088

7. ; $f \in H _ { p } ^ { r } ( M _ { 1 } , \ldots , M _ { n } ; \Omega ) , \quad M _ { i } > 0,$ ; confidence 0.088

8. ; $r _ { \text{ess} } ( T ) \in \sigma _ { \text{ess} } ( T )$ ; confidence 0.088

9. ; $\gamma = \left( \begin{array} { l l } { a } & { b } \\ { c } & { d } \end{array} \right) \in \operatorname { GL} _ { 2 } ( \mathbf{Q} )$ ; confidence 0.088

10. ; $\Omega ^ { k } (\, f ^ { ( s ) } , \delta ) = \operatorname { sup } _ { | h | = 1} \operatorname { sup }_{0 \leq t \leq \delta } \| \Delta _ { t h } ^ { k }\, f ^ { ( s ) } \| _ { L _ { p } ( \Omega _ { k t } ) } \leq M \delta ^ { r - s }.$ ; confidence 0.088

11. ; $\mathfrak{h} ^ {e }$ ; confidence 0.088

12. ; $\tilde { \mathfrak{E} } ( \lambda )$ ; confidence 0.088

13. ; $a _ { n + m} = F ( a _ { n } , a _ { m } )$ ; confidence 0.087

14. ; $\frac { \text { Vol } ( \partial \Omega ) } { \text { Vol } ( \Omega ) } \geq \frac { c _ { 1 } } { \operatorname { diam } \Omega } \cdot \omega , \quad c_ { 1 } = \frac { 2 \pi \alpha ( n - 1 ) } { \alpha ( n ) },$ ; confidence 0.087

15. ; $\mathcal{NP} \not< \mathbf{BQP}$ ; confidence 0.087

16. ; $p _ { i }$ ; confidence 0.087

17. ; $.\operatorname { det } _ { \text{Q} } ^ { - 1 } ( F ^ { i + 1 - m } H _ { \text{DR} } ^ { i } ( X_{/ \mathbf{R}} ) )$ ; confidence 0.087

18. ; $= ( \Omega _ { + } - 1 ) ( g - g_{0} ) \psi ( t ) + ( \Omega _ { + } - 1 ) _{g_{0}} \psi ( t ),$ ; confidence 0.087

19. ; $\operatorname {Cnn} _ { \mathcal{L} }$ ; confidence 0.087

20. ; $\Psi ( x _ { i } \bigotimes x _ { j } ) = x _ { b } \bigotimes x _ { a } R ^ { a } \square _ { i } \square ^ { b } \square_{j}$ ; confidence 0.087

21. ; $p _ { i ,\, j } ^ { k } = | \{ z \in X : ( x , z ) \in R _{i}\, \& ( z , y ) \in R _ { j } \} |.$ ; confidence 0.087

22. ; $\frac { Q _ { n } ( z ) } { P _ { n } ^ { ( \alpha , \beta ) } ( z ) } \underset{ \rightarrow } { \rightarrow } \frac { 2 } { \phi ^ { \prime } ( z ) },$ ; confidence 0.087

23. ; $N _ { E / F} ( z ) = z \cdot z ^ { q } \cdot \ldots \cdot z ^ { q ^ { n - 1 } }.$ ; confidence 0.087

24. ; $\sum _ { |\mathbf{m \cdot r}| \leq N } \Delta _ { \mathbf{m} } (\, f )$ ; confidence 0.086

25. ; $( \lambda - a _ { i , i} ) x _ { i } = \sum _ { j = 1 \atop j \neq i } ^ { n } a _ { i ,\, j } x _ { j }.$ ; confidence 0.086

26. ; $| a _ { \pm n } | \leq a _ { n } ^ { * }$ ; confidence 0.086

27. ; $\| \tilde { u } \| _ { p } \leq c \| u \| _ { p }$ ; confidence 0.086

28. ; $a : \mathbf{R}_{ +} \times \mathbf{R} ^ { n } \rightarrow \mathbf{R} ^ { n }$ ; confidence 0.086

29. ; $\partial _ { q , y}$ ; confidence 0.086

30. ; $\operatorname { max } _ { k = m + 1 , \ldots , m + n } | g ( k ) | \geq c _ { m , n } , \operatorname { min } _ { j = 1 , \ldots , n } | b _ { 1 } + \ldots + b _ { j } |$ ; confidence 0.086

31. ; $- \Delta t a \partial _ { x } ^ { ( 1 ) } u ( x _ { i } , t ^ { n } ) + \frac { \Delta t ^ { 2 } } { 2 } a ^ { 2 } \partial _ { x } ^ { ( 2 ) } u ( x _ { i } , t ^ { n } ) + O ( \Delta t ^ { 2 } ).$ ; confidence 0.085

32. ; $\operatorname { lim } _ { |Q| \rightarrow 0 } \frac { 1 } { | Q | } \int _ { Q } |\, f - f _ { Q } | d t \rightarrow 0.$ ; confidence 0.085

33. ; $ c _ { 1 } ( L )$ ; confidence 0.085

34. ; $\operatorname { Tr } _ { L l / L }$ ; confidence 0.085

35. ; $H _ { n }$ ; confidence 0.085

36. ; $L _ { i ,\, j } = L C _ { j } ( x ) |_ { x = x _ { i } }$ ; confidence 0.085

37. ; $e _ { i }$ ; confidence 0.085

38. ; $\lambda g = \sum _ { i ,\, j } \lambda g_ { i j } d x ^ { i } \otimes d x ^ { j } \in \mathsf{S} ^ { 2 } \mathcal{E}$ ; confidence 0.085

39. ; $\xi ^ { J } = \xi _ { 1 } ^ { j_1 } \ldots \xi _ { n } ^ { j_n }$ ; confidence 0.085

40. ; $F (\, f ) = F _ { \phi } (\, f ) = \int _ { \partial D _ { m } } f ( z ) \sum ^ { n } _ { k = 1 } ( - 1 ) ^ { k - 1 } \frac { \partial \overline{ v } } { \partial z _ { k } } d \overline{z} [ k ] \bigwedge d z.$ ; confidence 0.085

41. ; $\mathbf{\mathsf{RCA}} _ { \omega } = \mathbf{SP} \left\{ \left( \mathfrak { P } ( \square ^ { \omega } U ) , c _ { i } , \operatorname{Id} _ { i j } \right)_ { i ,\, j \in \omega } : U \ \text {is a set } \right\}.$ ; confidence 0.085

42. ; $\langle \cdot , \cdot \rangle : \operatorname{CH} ^ { p } ( X ) ^ { 0 } \times \operatorname{CH} ^ { n + 1 - p } ( X ) ^ { 0 } \rightarrow \mathbf{R}$ ; confidence 0.085

43. ; $X _ { k }$ ; confidence 0.085

44. ; $r _ { \mathcal{D} } : H _ { \mathcal{M} } ^ { i } ( M _ { \mathbf{Z} } , \mathbf{Q} (\, j ) ) \rightarrow H _ { \mathcal{D} } ^ { i } ( M_{ / \mathbf{R}} , \mathbf{R} (\, j ) )$ ; confidence 0.085

45. ; $B _ { 2 } \stackrel { d } { \rightarrow } B _ { 1 } \stackrel { d _ { 1 } } { \rightarrow } B _ { 0 } \rightarrow 0,$ ; confidence 0.085

46. ; $\| P _ { n , \theta _ { n }} - R _ { n , h }\| \rightarrow 0$ ; confidence 0.085

47. ; $\exists b _ { i } : b = \langle b _ { 0 } , \dots , b _ { i - 1} , b _ { i } , b _ { i + 1} , \dots , b _ { n - 1} \rangle \in R \}.$ ; confidence 0.084

48. ; $\{ \otimes ^ { * } \tilde { \mathcal{E} } , \tilde { \nabla } \}$ ; confidence 0.084

49. ; $\frac { 1 } { x } \cdot \sum _ { n \leq x } f ( n ) = c x ^ { ia_{0} } .$ ; confidence 0.084

50. ; $F ( 0 ) = ( F _ { 1 } ( 0 , x _ { 1 } ) , \ldots , F _ { n } ( 0 , x _ { 1 } , \ldots , x _ { n } ) , \ldots ).$ ; confidence 0.084

51. ; $v _ { 1 } , \dots , v _ { m }$ ; confidence 0.084

52. ; $mn$ ; confidence 0.083

53. ; $\Theta_{ \mathsf{Q} } ( a , b )$ ; confidence 0.083

54. ; $\operatorname { sup } _ { u > 0 } \varphi ^ { \prime } ( a u ) / \varphi ^ { \prime } ( u ) < 1$ ; confidence 0.083

55. ; $+ h \sum _ { j = 1 } ^ { s } B _ { j } ( h T ) \left[\, f ( t _ { m } + c _ { j } h , u _ { m + 1 } ^ { ( j ) } ) - T u _ { m +1 } ^ { ( j ) } \right].$ ; confidence 0.083

56. ; $w _ { 1 } , \ldots , w _ { n }$ ; confidence 0.083

57. ; $R ^ { a } _{b c d}$ ; confidence 0.083

58. ; $X \stackrel { f } { \rightarrow } Y \stackrel { g } { \rightarrow } X$ ; confidence 0.083

59. ; $\alpha _ { n , F} \circ Q + \beta _ { n , F }$ ; confidence 0.082

60. ; $J (\, f ) = \left\| \begin{array} { c c c c c c } { a } & { 1 } & { \square } & { \square } & { \square } & { 0 } \\ { \square } & { \cdot } & { \square } & { \square } & { \square } & { \square } \\ { \square } & { \square } & { . } & { \square } & { \square } & { \square } \\ { \square } & { \square } & { \square } & { . } & { \square } & { \square } \\ { \square } & { \square } & { \square } & { \square } & { . } & { 1 } \\ { 0 } & { \square } & { \square } & { \square } & { \square } & { a } \end{array} \right\|,$ ; confidence 0.082

61. ; $v _ { \text{M} }$ ; confidence 0.082

62. ; $\{ p _ { M } : M \in \Gamma \}$ ; confidence 0.082

63. ; $H ^ { q } ( B \Gamma , \mathbf{C} ) \simeq H ^ { q } ( \Gamma , \mathbf{C} )$ ; confidence 0.082

64. ; $= v _ { M }$ ; confidence 0.082

65. ; $\operatorname { Ric } ( \tilde{g} ) = 0 \in \mathsf{S} ^ { 2 } \tilde{\mathcal{E}}$ ; confidence 0.082

66. ; $h_{n}$ ; confidence 0.081

67. ; $Z = \sum _ { S _ { 1 } = \pm 1 } \left( S _ { 1 } | \mathcal{P} ^ { N } | S _ { 1 } \right) = \lambda _ { + } ^ { N } + \lambda ^ { N }_{-},$ ; confidence 0.081

68. ; $J _ { E }$ ; confidence 0.081

69. ; $\varphi_{ *} : K _ { 0 } ^ { \text{alg} } ( \mathcal{C} _ { 1 } \bigotimes \mathbf{C} [ \Gamma ] ) \rightarrow \mathbf{C},$ ; confidence 0.081

70. ; $\Psi _ { V , W } ( v \bigotimes w ) = \sum v ^ { \overline{( 1 )} } \rhd w \bigotimes v ^ { \overline{( 2 )} }.$ ; confidence 0.080

71. ; $( X , \tau ) \in | L \square \mathbf{TOP} |$ ; confidence 0.080

72. ; $s _ { k }$ ; confidence 0.080

73. ; $\lambda ^ { \mathbf{Fm} } ( \varphi_0 , \dots , \varphi _ { n - 1} )$ ; confidence 0.080

74. ; $\text { Alg } \text {Mod} ^ { * \text{L}} \mathcal{DS} = \cup \{ \text { Alg } \text {Mod} ^ { * \text{L}} \mathcal{DS} _ { P } : P \ \text { a set } \}$ ; confidence 0.080

75. ; $t ( G ; x , y ) = \sum_{ S \subseteq E} ( x - 1 ) ^ { r ( G ) - r ( S ) } ( y - 1 ) ^ { | S | - r ( S ) }$ ; confidence 0.080

76. ; $\operatorname { lim } _ { K \rightarrow \infty } \operatorname { sup } _ { x \geq 1 } \frac { 1 } { x } \cdot \sum _ { n \leq x , |\, f ( n )| \geq K } \quad | f ( n ) | = 0.$ ; confidence 0.080

77. ; $r_1 / r _ { 2 } \notin \mathbf{Z} _ { n }$ ; confidence 0.080

78. ; $\langle \mathbf{Fm} _ { P } , \models_{\mathcal{S}_ { P }} \rangle$ ; confidence 0.080

79. ; $j_1 , \ldots , j _ { r } < i$ ; confidence 0.079

80. ; $\overline{ h }$ ; confidence 0.079

81. ; $\mathbf{zero}_{?} \equiv \lambda p \cdot p ( \lambda x \cdot \mathbf{false})\mathbf{true}$ ; confidence 0.079

82. ; $A _ { i } = A \cdot e _ { i } = \mathbf{R} \cdot e_{i} \oplus N _ { i }$ ; confidence 0.079

83. ; $( \operatorname{Op} ( a ) u ) ( x ) = \int e ^ { 2 i \pi x \cdot \xi } a ( x , \xi ) \hat { u } ( \xi ) d \xi,$ ; confidence 0.079

84. ; $\Delta_ { 2 } U = \frac { \partial ^ { 2 } U } { \partial t ^ { 2 } },$ ; confidence 0.078

85. ; $\alpha_{n, F} = n ^ { 1 / 2 } ( F _ { n } - F )$ ; confidence 0.078

86. ; $r _ { \mathcal{D} }$ ; confidence 0.078

87. ; $\widetilde{ d ^ { 2 } f } _ { x } : \mathbf{R} ^ { n } \times \mathbf{R} ^ { n } \rightarrow \mathbf{R}$ ; confidence 0.078

88. ; $R _ { k + l } ^ { k - l } ( r ; \alpha ) = \frac { l ! } { ( \alpha + 1 ) _ { l } } r ^ { k - l } P _ { l } ^ { ( \alpha , k - l ) } ( 2 r ^ { 2 } - 1 ),$ ; confidence 0.078

89. ; $\epsilon_{l}$ ; confidence 0.078

90. ; $p ^ { - 1 } \prod _ { \underset{n \in \mathbf{Z} }{m > 0} } ( 1 - p ^ { m } q ^ { n } ) ^ { a_{ m n} } = j ( w ) - j ( z )$ ; confidence 0.078

91. ; $\theta _ { n } ( h _ { 1 } \bigotimes \ldots \bigotimes h _ { n } ) = P _ { n } ( \tilde { h _ { 1 } } \ldots \tilde { h _ { n } } ).$ ; confidence 0.078

92. ; $E ( x , y ) \vdash _ { \mathcal{D} } E ( y , x ) , \quad E ( x , y ) , E ( y , z ) \vdash _ { \mathcal{D} } E ( x , z ),$ ; confidence 0.078

93. ; $\mathcal{E} ^ { a } ( L ) = \sum _ { | \alpha | = 0 } ^ { k } ( - 1 ) ^ { | \alpha | } D ^ { \alpha } \left( \frac { \partial L } { \partial y _ { \alpha } ^ { a } } \right),$ ; confidence 0.077

94. ; $\| u \| _ { m } ^ { 2 } \leq c _ { 1 } \operatorname { Re } B [ u , u ] = c _ { 2 } \| u \| _ { 0 } ^ { 2 },$ ; confidence 0.077

95. ; $\mathbf{z} ^ { n } = \{ z ^ { n _ { i } } , x _ { i } ^ { n + 1 } \} , \overline{\mathbf{z}} \square ^ { n } = \{ z _ { i } ^ { n } , \overline{x} \square _ { i } ^ { n + 1 } \}$ ; confidence 0.077

96. ; $\mathbf{\mathsf{RCA}} _ { n } = \mathbf{SP} \{ \mathfrak{Rel} _ { n } ( U ) : U \ \text {is a set } \},$ ; confidence 0.077

97. ; $\mathbf{a}$ ; confidence 0.077

98. ; $X \underline { \square } _ { n } = \operatorname { inf } _ { t } X _ { n } ( t )$ ; confidence 0.077

99. ; $\frac { \operatorname {Vol} ( \partial \Omega ) ^ { n } } { \operatorname {Vol} ( \Omega ) ^ { n - 1 } } \geq c _ { 2 } \cdot \omega ^ { n + 1 } , \quad c _ { 2 } = \frac { \alpha ( n - 1 ) ^ { n } } { \left( \frac { \alpha ( n ) } { 2 } \right) ^ { n - 1 } }.$ ; confidence 0.077

100. ; $\operatorname {SL} _ { n } ( F )$ ; confidence 0.077

101. ; $\mathcal{L} = \{ u \in \operatorname { PSH } ( \mathbf{C} ^ { n } ) : u - \operatorname { log } ( 1 + | z | ) = O ( 1 ) ( z \rightarrow \infty ) \}.$ ; confidence 0.077

102. ; $\|\, f \| \leq \operatorname { sup } _ { M } |\, f ( z ) |$ ; confidence 0.077

103. ; $|G:G_{\text{inn}}|< \infty$ ; confidence 0.077

104. ; $\hat { X } \in \operatorname { ker } \delta _ { \hat { A } ^ { * } , B ^ { * }}$ ; confidence 0.077

105. ; $\hat { C }$ ; confidence 0.077

106. ; $\mathfrak { Rel } _ { n } ( U ) = \left( \mathfrak { P } ( \square ^ { n } U ) , c _ { 0 } , \ldots , c _ { n - 1} , \operatorname{Id} \right)$ ; confidence 0.077

107. ; $a \sharp b = a b + S ( m _ { 1 } m _ { 2 } H , G ) ,\; a \sharp b = a b + \frac { 1 } { 2 \iota } \{ a , b \} + S ( m _ { 1 } m _ { 2 } H ^ { 2 } , G ),$ ; confidence 0.076

108. ; $c_ 1 , \ldots , c _ { n }$ ; confidence 0.076

109. ; $a _ { j }$ ; confidence 0.076

110. ; $\geq 2 \left( \frac { \delta _ { 1 } - \delta _ { 2 } } { 12 e } \right) ^ { n } \operatorname { min } _ { j = h , \ldots , l } | b _ { 1 } + \ldots + b _ { j } |.$ ; confidence 0.076

111. ; $\psi _ { i }$ ; confidence 0.075

112. ; $P _ { k - 1}$ ; confidence 0.075

113. ; $K _ { n , m}$ ; confidence 0.075

114. ; $\text{NTIME}$ ; confidence 0.075

115. ; $Se ^ { - s A ( t , u ) } \supset e ^ { - s \hat{A} ( t , u ) } S,$ ; confidence 0.075

116. ; $0 \rightarrow H ^ { 0 } ( M ) \rightarrow C ^ { \infty } ( M ) \stackrel { H } { \rightarrow } \mathfrak{X} ( M , \omega ) \stackrel { \gamma } { \rightarrow } H ^ { 1 } ( M ) \rightarrow 0,$ ; confidence 0.075

117. ; $\int _ { | x - a _ { j } | \leq r _ { j } } f ( x ) d x , \quad | a _ { j } | + r _ { j } < 1 ,\; j = 1,2,$ ; confidence 0.075

118. ; $P \sum _ { n = 0 } ^ { \infty } ( Q - 1 ) ^ { n }$ ; confidence 0.075

119. ; $\psi _ { \mathfrak { A } } ^ { l } \overline {a}$ ; confidence 0.075

120. ; $( \mathcal{X} \otimes e _ { 0 } ) \oplus ( \mathcal{X} \otimes e_ { 1 } )$ ; confidence 0.075

121. ; $\| \operatorname { tg } ( t ) \| _ { 2 } \| \gamma \hat{g} ( \gamma ) \| _ { 2 } \geq ( 4 \pi ) ^ { - 1 } \| g \| _ { 2 } ^ { 2 }$ ; confidence 0.075

122. ; $A _ { k } \equiv ( a _ { i ,\, j } ^ { ( k ) } ) _ { i ,\, j = 1 } ^ { \operatorname { dim } \mathcal{X} }$ ; confidence 0.075

123. ; $\overline{z} = ( \overline{z}_{1} , \dots , \overline{z}_ { n } )$ ; confidence 0.074

124. ; $\mathbf{C} ^ { n + 1}$ ; confidence 0.074

125. ; $( a _ { 1 } , \dots , a _ { i - 1 } ) : a _ { i } a _ { j } = ( a _ { 1 } , \dots , a _ { i - 1 } ) : a _ { j }$ ; confidence 0.074

126. ; $v _ { M } > v ^ { * }$ ; confidence 0.074

127. ; $\{ x _ { 1 , n} , \dots , x _ { n , n} \} \subseteq \{ y _ { 1 , m} , \dots , y _ { m , m} \},$ ; confidence 0.074

128. ; $K _ { x } \in \wedge ^ { k + 1 } T _ { x } ^ { * } M \otimes T _ { x }\, M$ ; confidence 0.074

129. ; $\hat{x} ( n ) = \int _ { \mathbf{T} } \overline{z}^{n} U _ { z } ( x ) d z$ ; confidence 0.074

130. ; $\mathfrak{M} \in \operatorname{Mod}_{\tau}$ ; confidence 0.074

131. ; $B ( m , n , i ) = \langle a _ { 1 } , \dots , a _ { m } | A _ { 1 } ^ { n } , \dots , A _ { i } ^ { n } \rangle$ ; confidence 0.074

132. ; $U _ { 1 } = \{ u _ { 1 } \geq 0 : c ^ { T } \tilde { x } ^{ ( k ) } + u _ { 1 } A _ { 1 } \tilde{x} ^ { ( k ) } \geq 0 \text { for all } k \in R \}$ ; confidence 0.074

133. ; $= ( 2 \pi i ) ^ { 1 - n } \int _ { \Delta _ { n } } d t \int _ { S } ( F _ { n }\, f ) \times \times \left( ( 1 - t _ { 2 } - \ldots - t _ { n } ) ( z , \zeta ) , \frac { t _ { 2 } } { \zeta _ { 2 } } ( z , \zeta ) , \ldots , \frac { t _ { n } } { \zeta _ { n } } ( z , \zeta ) \right) \frac { d \zeta } { \zeta },$ ; confidence 0.073

134. ; $\alpha _ { H } ( \tilde{y} ) - \alpha _ { H } ( \tilde{x} ) = 1$ ; confidence 0.073

135. ; $e _ { n } ( F _ { d } ) = \operatorname { inf } _ { Q _ { n } } e ( Q _ { n } , F _ { d } ).$ ; confidence 0.073

136. ; $M _ { R } ^ { \delta } (\, f ) ( x ) = \int _ { | \xi | \leq R } \left( 1 - \frac { | \xi | ^ { 2 } } { R ^ { 2 } } \right) ^ { \delta } e ^ { 2 \pi i x \cdot \xi } \hat { f } ( \xi ) d \xi .$ ; confidence 0.073

137. ; $\mathbf{R} _ { x } ^ { n } \times \mathbf{R} _ { \xi } ^ { n }$ ; confidence 0.073

138. ; $R ( \tilde{ g } ) = W ( \tilde { g } ) \in \mathsf{A} ^ { 2 } \tilde{ \mathcal{E} } \otimes \mathsf{A} ^ { 2 } \tilde{ \mathcal{E} }$ ; confidence 0.073

139. ; $\langle a _ { 1 } , \dots , a _ { n } \rangle$ ; confidence 0.073

140. ; $v _ { \operatorname {MAP} } = \operatorname { arg } \operatorname { max } _ { v _ { j } \in \mathcal{V} } \mathsf{P} ( a _ { 1 } , \ldots , a _ { n } | v _ { j } ) \cdot \mathsf{P} ( v _ { j } ).$ ; confidence 0.073

141. ; $a = c _ { 1 } \dots c _ { n }$ ; confidence 0.073

142. ; $W _ { P } (\, \rho _ { a } )$ ; confidence 0.073

143. ; $\ll \frac { N ^ { 2 } } { H } + \frac { N } { H } \sum _ { 1 \leq h \leq H } \left| \sum_ { M < n \leq M + N - h } e ^ { 2 \pi i ( \, f ( n + h ) - f ( n ) ) } \right|,$ ; confidence 0.073

144. ; $\mathcal{B} : \mathcal{C} \text{rs} \rightarrow \mathcal{FT} \text{op}$ ; confidence 0.073

145. ; $t_{1}$ ; confidence 0.072

146. ; $\oplus _ { i } G_ {i}$ ; confidence 0.072

147. ; $\partial _ { i }\, f _ { w } = \left\{ \begin{array} { l l } { 0 } & { \text{if} \ \text{l} ( s _ { i } w ) > \text{l} ( w ), } \\ { f _ { s _ { i } w } } & { \text{if} \ \text{l}( s _ { i } w ) < \text{l}( w ), } \end{array} \right.$ ; confidence 0.072

148. ; $\tilde { S } _ { n }$ ; confidence 0.072

149. ; $\left( \frac { \partial } { \partial x } \right) ^ { \alpha } = \left( \frac { \partial } { \partial x _ { 1 } } \right) ^ { \alpha _ { 1 } } \dots \left( \frac { \partial } { \partial x _ { n } } \right) ^ { \alpha _ { n } }.$ ; confidence 0.072

150. ; $v \in e$ ; confidence 0.072

151. ; $= \sum _ { i = 1 } ^ { k } ( - 1 ) ^ { i + 1 } X X _ { i } \bigotimes X _ { 1 } \bigwedge \ldots \bigwedge \hat{X} _ { i } \bigwedge \ldots \bigwedge X _ { k } +$ ; confidence 0.072

152. ; $\| \nabla f \| _ {{ L } ^ 2 ( \mathbf{R} ^ { n } ) } \geq S _ { n } \|\, f \| _ { L ^{ 2 n / ( n - 2 ) } ( \mathbf{R} ^ { n } ) }$ ; confidence 0.071

153. ; $= \frac { 1 } { ( 2 \pi i ) ^ { n } } \int _ { \partial \Omega } \sum _ { | \alpha | + \beta = n - 1 } \left( \prod _ { j = 0 } ^ { m } \frac { \langle \rho ^ { \prime } ( \xi ) ,\, z - p _ { j } \rangle } { \langle \rho ^ { \prime } ( \xi ) ,\, \xi - p _ { j } \rangle } \right) \times \times \frac { f ( \xi ) \partial \rho ( \xi ) \wedge ( \overline { \partial } \partial \rho ( \xi ) ) ^ { n - 1 } } { \langle \rho ^ { \prime } ( \xi ) ,\, \xi - p \rangle ^ { \alpha } \langle \rho ^ { \prime } ( \xi ) ,\, \xi - z \rangle ^ { \beta + 1 } },$ ; confidence 0.071

154. ; $t ^ { n }$ ; confidence 0.071

155. ; $f _ { w } \in \mathbf{Z} [ x _ { 1 } , \dots , x _ { n } ]$ ; confidence 0.071

156. ; $\mathbf{f} ^ { \text{em} } = 0 = \operatorname { div } \mathbf{t} ^ { \text{em} \cdot f} - \frac { \partial \mathbf{G} ^ { \text{em}\cdot f } } { \partial t },$ ; confidence 0.071

157. ; $\pi ( \lambda ) = ( \lambda + 2 ) ( \lambda + 1 ) a ^ { 2_0 } + ( \lambda + 1 ) a ^ { 1_0 } + a ^ { 0_0 } =$ ; confidence 0.071

158. ; $S _ { k } = \mathsf{E} \left[ \left( \begin{array} { l } { X } \\ { k } \end{array} \right) \right] = \sum _ { i = 1 } ^ { n } \left( \begin{array} { l } { i } \\ { k } \end{array} \right) p _ { i }$ ; confidence 0.071

159. ; $\zeta _ { \lambda } ^ { + \lambda } = \zeta _ { \lambda } ^ { - \lambda } = i ^ { ( n - r ( \lambda ) ) / 2 } \sqrt { ( \lambda _ { 1 } \ldots \lambda _ { r ( \lambda ) } ) }.$ ; confidence 0.071

160. ; $\frac { \Omega _ { n } } { \partial T _ { m } } = \frac { \partial \Omega _ { m } } { \partial T _ { n } }.$ ; confidence 0.071

161. ; $| \varphi ( z ) | e ^ { \delta | z | } < \infty \text { for some } \delta > 0.$ ; confidence 0.071

162. ; $\operatorname {mng} _ { \mathcal{S} _ { P }, \mathfrak { M } } ( \varphi ) = \operatorname { mng } _ { \mathcal{S} _ { P }, \mathfrak { M } } ( \psi )$ ; confidence 0.071

163. ; $\vdash _ { \mathcal{G} } \theta _ { 0 } , \ldots , \theta _ { n - 1 } \rhd \xi ,$ ; confidence 0.070

164. ; $x_1 , \dots , x_ { n } , \dots$ ; confidence 0.070

165. ; $q_{v _ { 1 } , \ldots , v _ { n } } ( x _ { 1 } , \ldots , x _ { n } ) \in L _ { p } ( \mathbf{R} ^ { n } )$ ; confidence 0.070

166. ; $\mathsf{E} [T]_{ \operatorname { SRPTF }} =$ ; confidence 0.069

167. ; $S ( C ) ^ { o } = H \operatorname { exp } C ^ { o }$ ; confidence 0.069

168. ; $\{ G ; \cdot , e ,^{ - 1} , \vee , \wedge \}$ ; confidence 0.069

169. ; $n ^ { - k / d }$ ; confidence 0.069

170. ; $C ^ { n \times m}$ ; confidence 0.069

171. ; $\operatorname { Ext }^{1} _ { \mathcal{MH} _ { \mathbf{R} } ^ { + } } ( \mathbf{R} ( 0 ) , H _ { \text{B} } ^ { i } ( X ) , \mathbf{R} (\, j ) )$ ; confidence 0.068

172. ; $\text{NSPACE} [t( n )]$ ; confidence 0.068

173. ; $\mathcal{E} ^ { a } ( L ) = \frac { \partial L } { \partial y ^ { a } } - D _ { i } \left( \frac { \partial L } { \partial y ^ { a _ { i } } } \right),$ ; confidence 0.068

174. ; $\sum _ { m } b ( m ) e \left( \frac { m a } { q } \right) g ( m ) = \sum _ { n } b ( n ) e \left( - n \frac { \overline { a } } { q } \right) \mathcal{L} g ( n ),$ ; confidence 0.068

175. ; $g ^ { i }_{ ; j ; k } / 2$ ; confidence 0.068

176. ; $( ( X _ { n + 1} , B _ { n + 1} ) , f _ { n + 1 } ) = ( ( Y , \phi_{ * } B _ { n } ) , f _ { n } \circ \phi ^ { - 1 } )$ ; confidence 0.068

177. ; $X ^ { \prime } = \sqrt { X ^ { 2 } + \tilde { y } ^ { 2 } } e ^ { ( \operatorname { arctan } \tilde{y} / X + k \pi ) \rho / \omega } - X _ { H } + \tilde{x},$ ; confidence 0.068

178. ; $T ( a ) = ( a _ { j - k} ) _ { j , k = 0} ^ { \infty }$ ; confidence 0.068

179. ; $\varphi _ { 0 } , \ldots , \varphi _ { n - 1 } \rhd \varphi _ { n }$ ; confidence 0.068

180. ; $ \tilde {x} = \tilde { y } = 0$ ; confidence 0.068

181. ; $\mathsf{S} ^ { 2 } \mathcal{E} \otimes \mathsf{S} ^ { 2 } \mathcal{E} \subset \bigotimes ^ { 4 } \mathcal{E}$ ; confidence 0.068

182. ; $a | _ { T ^{*} M ^{ g }}$ ; confidence 0.068

183. ; $= \left\{ z : \sum _ { l = 1 } ^ { n } b _ { j } ^ { l } | c _ { l1 } ^ { p } ( z _ { 1 } - a _ { 1 } ) + \ldots + c _ { l n } ^ { p } ( z _ { n } - a _ { n } ) | ^ { 2 } < r _ { j , k } ^ { 2 } \right\} ,\; b _ { j } ^ { l } > 0 ;\; j = 1 , \ldots , n ; \; k = 1,2 ;\; p = 1 , \ldots , n.$ ; confidence 0.067

184. ; $\chi ( G ; \lambda ) = \lambda ^ { c ( G ) } ( - 1 ) ^ { v ( G ) - c ( G ) } t ( M _ { G } , 1 - \lambda , 0 ),$ ; confidence 0.067

185. ; $\mathcal{L} _ { n } = \mathcal{L} ( \Lambda _ { n } | P _ { n } )$ ; confidence 0.067

186. ; $d _{( n )} ( A ) = \operatorname { per } ( A ) = \sum _ { \sigma \in S _ { n } } \prod _ { i = 1 } ^ { n } a _ { i \sigma ( i ) }.$ ; confidence 0.067

187. ; $eAe$ ; confidence 0.067

188. ; $y _ { 1 } , \dots , \hat{y} _ { p } , \dots ; x _ { p } - y _ { p } , x _ { 2 p} - y _ { 2 p} , \dots )$ ; confidence 0.067

189. ; $\overline { \mathcal{M}_ { g , n } }$ ; confidence 0.067

190. ; $t_{1} , \dots , t _ { \rho (\, f ) } \in T$ ; confidence 0.067

191. ; $\rho _ { \operatorname { max } } = \operatorname { sup } \{ \rho = \rho ( B ) : T\, \text { star shaped w.r.t. } B \}.$ ; confidence 0.067

192. ; $\operatorname { max } _ { r = 1 , \ldots , c n } \frac { | z _ { 1 } ^ { r } + \ldots + z _ { n } ^ { r } | } { \operatorname { min } _ { k = 1 , \ldots , n } | z _ { k } ^ { r } | } \geq m.$ ; confidence 0.067

193. ; $\left\{ u \in \cap _ { q \in ( n , \infty ) } W ^ { 2 m , q } ( \Omega ) : \begin{array}{l} { L(t, \cdot , D_x) u \in C ( \overline { \Omega } ), } \\ {B _ { j } ( t , \cdot , D _ { x } ) u=0 \ \text{ on } \partial \Omega,} \\ {j=1, \dots , m} \end{array} \right\},\; A(t)u=L(\cdot , t , D_x)u \ \text{ for } \ u \in D(A(t)),$ ; confidence 0.067

194. ; $b \mapsto I ^ { \kappa_a } ( b )$ ; confidence 0.067

195. ; $( X \leftrightarrows _{f} ^{\nabla } Y , \phi ).$ ; confidence 0.067

196. ; $\lambda ^ { p } ( \mu ) [ \varphi ] = [ \varphi * \Delta _ { G } ^ { 1 / p ^ { \prime } } \check{\mu} ]$ ; confidence 0.066

197. ; $\mathcal{R} = \mathcal{R} _ { q ^ { 2 } } e _ { q ^ { - 2 } } ^ { ( q - q ^ { - 1 } ) E \bigotimes F },$ ; confidence 0.066

198. ; $( N + 1 ) ^ { - 1 } \left\| \sum _ { k = 0 } ^ { N } c _ { k } D _ { k } \right\| _ { L^{1} } \leq \operatorname { max } _ { 0 \leq k \leq N } | c _ { k } |,$ ; confidence 0.066

199. ; $\sum h_{ ( 1 )} v ^ { \overline{( 1 )} } \bigotimes h_{ ( 2 )} \rhd v ^ { \overline{( 2 )} } =$ ; confidence 0.066

200. ; $\mathbf{Z} _ { \text { tot } S } = \tilde{\mathbf{Z}}$ ; confidence 0.066

201. ; $r _ { t \text{l}} ^ { s k } \in k $ ; confidence 0.066

202. ; $= 2 ^ { 5 / 4 } 3 ^ { - 3 / 4 } ( t ( 1 - t ) ) ^ { 1 / 4 } \text { a.s., } n ^ { 1 / 4 } ( \alpha _ { n } ( t ) + \beta _ { n } ( t ) ) \stackrel { d } { \rightarrow } Z [ B ( t ) ] ^ { 1 / 2 },$ ; confidence 0.066

203. ; $\tilde { x } _ { i } = ( x _ { i } , u _ { i } )$ ; confidence 0.065

204. ; $K ( z , \delta ) : = \left\{ \begin{array}{l} {} & { t _ { i } = z _ { i }, }\\{ ( t _ { 1 } , t _ { 2 } ) :} &{ | z _ { j } - t _ { j } | < \delta, }\\{} & { i , j = 1,2 , i \neq j }\end{array} \right\}$ ; confidence 0.065

205. ; $\text{l} _ { \alpha p} : = \{ x : \alpha \cdot x = p \}$ ; confidence 0.065

206. ; $T_{\text{W}d}$ ; confidence 0.065

207. ; $\mathcal{V}$ ; confidence 0.065

208. ; $\left\{ \begin{array} { r l r l } { X _ { N } = H ( N , X _ { N - 1 } , y ( N ) , u ( N ) ), } \\ { \hat{\theta}_{N} = h ( X _ { N } ), } \end{array} \right.$ ; confidence 0.065

209. ; $C ^ { \prime }$ ; confidence 0.065

210. ; $\operatorname{Bel} ( \cdot | | B ) =\operatorname{Bel} \bigoplus \operatorname{Bel}_B .$ ; confidence 0.065

211. ; $\mathbf{t} ^ { \text{em}\cdot f }$ ; confidence 0.065

212. ; $\langle \mathbf{A} , F \rangle \in \operatorname{Mod} ^ { * \text{L}} \mathcal{D}$ ; confidence 0.065

213. ; $dm \times dv$ ; confidence 0.065

214. ; $\gamma _ { i + l ,\, j + k}$ ; confidence 0.064

215. ; $\Delta = \frac { 1 } { c_0 } \left( \begin{array} { c c c } { c_0^ { 2 } - c_ { 1 } ^ { 2 } } & { \square } & { c _ { 1 } c_{0} - c _ { 1 } c _ { 2 } } \\ { c _ { 1 } c _ { 0 } - c _ { 1 } c _ { 2 } } & { \square } & { c _ { 0 } ^ { 2 } - c _ { 2 } ^ { 2 } } \end{array} \right).$ ; confidence 0.064

216. ; $x, v$ ; confidence 0.064

217. ; $\mathcal{C} \text{rs}$ ; confidence 0.064

218. ; $\operatorname { lim } _ { t \rightarrow s } U ( t , s ) u _ { 0 } = u _ { 0 }\; \text { for } u _ { 0 } \in \overline { D ( A ( s ) ) }.$ ; confidence 0.064

219. ; $\Omega G$ ; confidence 0.064

220. ; $i_{w _ { 1 } , w_ { 2 }}$ ; confidence 0.064

221. ; $E_{v_ { 1 } , \ldots , v _ { n }} (\, f ) \leq c \sum _ { i = 1 } ^ { n } \frac { M _ { i } } { v _ { i } ^ { r _ { i } } }$ ; confidence 0.064

222. ; $\frac { 1 } { p } : = \frac { \operatorname { log } a _ { m }} { \operatorname { log } m } = \frac { \operatorname { log } a _ { n } } { \operatorname { log } n }\; \text { for all } m , n \geq 2.$ ; confidence 0.063

223. ; $\mu _ { l^{n} ,\, X}$ ; confidence 0.063

224. ; $n_j$ ; confidence 0.063

225. ; $d \xi = c d v I ^ { d- 1 } d I$ ; confidence 0.063

226. ; $\limsup_{\varepsilon \rightarrow 0} \frac { 1 } { \varepsilon } \text { meas } \{ x : \rho ( x , \partial B ) < \varepsilon \} < \infty,$ ; confidence 0.063

227. ; $y _ { i } \in A \langle X _ { 1 } , \dots , X _ { s_i } \rangle$ ; confidence 0.063

228. ; $\mathbf{\mathsf{RCA}}_n$ ; confidence 0.063

229. ; $\operatorname { Bel } _ { X } ^ { \downarrow Z \bigcup Y } = \operatorname { Bel } _ { Z | Y } \bigoplus \operatorname { Bel } _ { X } ^ { \downarrow Y }.$ ; confidence 0.063

230. ; $[ ( a _ { 1 } , \dots , a _ { i - 1 } ) : a _ { i } ] / ( a _ { 1 } , \dots , a _ { i - 1 } ) ,\; 1 \leq i \leq d,$ ; confidence 0.063

231. ; $\overline { c } ^ { a } ( x )$ ; confidence 0.063

232. ; $\tilde { x }_{ + }= ( x _ { + } , u _{+} )$ ; confidence 0.062

233. ; $\Xi _ { 1 } , \dots , \Xi _ { n }$ ; confidence 0.062

234. ; $\int _ { z } ^ { \xi } \frac { 1 - a i } { s } d s = \operatorname { ln } \left( \frac { \xi } { z } \right) ^ { 1 - a i }$ ; confidence 0.062

235. ; $y ^ { ( r ) } = \{ y _ { \alpha } ^ { a } \} _ { | \alpha | = r } ^ { a = 1 , \ldots , m }$ ; confidence 0.062

236. ; $T _ { E } R ^ { * } = \prod _ { \text { Hom}_{ \text{grp} } ( E , V ) } H ^ { * } B V,$ ; confidence 0.062

237. ; $\gamma _ { w }$ ; confidence 0.062

238. ; $= \left\{ \left( \begin{array} { l l } { a } & { b } \\ { c } & { d } \end{array} \right) \in \operatorname{SL} ( 2 , \mathbf{Z} ) : \left( \begin{array} { c c } { a } & { b } \\ { c } & { d } \end{array} \right) \equiv \left( \begin{array} { l l } { 1 } & { 0 } \\ { 0 } & { 1 } \end{array} \right) ( \operatorname { mod } n ) \right\},$ ; confidence 0.062

239. ; $B ( \operatorname{CRS} ( \pi ( X_{ * } ) , C ) ) \rightarrow ( B C ) ^ { X }$ ; confidence 0.062

240. ; $m$ ; confidence 0.061

241. ; $\|\, f _ { m } \| _ { C ^{ 2 , \lambda}} \leq c _ { 0 } = \text{const } > 0$ ; confidence 0.061

242. ; $d \omega$ ; confidence 0.061

243. ; $h _ { M } ( x ) = t ( x , 1 )$ ; confidence 0.061

244. ; $\| g \| = \operatorname { max } _ { x \in [ a , b ] } | g ( x ) |$ ; confidence 0.061

245. ; $\operatorname{Mod} ^ { * \text{L}} \mathcal{D} = \mathbf{SPP} _ { \text{U} } \operatorname{Mod} ^ { * \text{L}} \mathcal{D} $ ; confidence 0.061

246. ; $\mathbf{CP} ^ { n }$ ; confidence 0.060

247. ; $a _ { v,n}$ ; confidence 0.060

248. ; $R _ { ab } \equiv R ^ { c } \square _ { a c b }$ ; confidence 0.060

249. ; $s\operatorname{log} \alpha$ ; confidence 0.060

250. ; $( \text{S} ) g ( \overline { u } _ { 1 } ) = \left\{ \begin{array} { c l } { \operatorname { min } } & { c ^ { T } x + \overline { u } _{1} ^ { T } ( A _ { 1 } x - b _ { 1 } ) } \\ { \text { s.t. } } & { A _ { 2 } x \leq b _ { 2 }, } \\ { } & { x \geq 0, } \end{array} \right.$ ; confidence 0.060

251. ; $\mathbf{C}P ^ { n }$ ; confidence 0.060

252. ; $= \sum _ { n = 0 } ^ { \infty } \int d x _ { s + 1} \cdots d x _ { s + n} U ^ { ( n )_t } F _ { s + n} ( 0 , x _ { 1 } , \dots , x _ { s + n} ),$ ; confidence 0.060

253. ; $ud v$ ; confidence 0.060

254. ; $K _ { \text { tot }S } = \tilde { \mathbf{Q} }$ ; confidence 0.060

255. ; $d _ { n } ^ { * } \in \cap _ { \mathsf{P} \in \mathcal{P} } L _ { 2 } ( \Omega , \mathcal{A} , \mathsf{P} )$ ; confidence 0.060

256. ; $T , \varphi \vdash_{\text{S}5} \psi$ ; confidence 0.060

257. ; $r _ { S }$ ; confidence 0.060

258. ; $\times \alpha ( x_0 , \dots , x _ { i - 1} , [ x _ { i } , x _ { j } ] , x _ { i + 1} , \dots , \widehat{x _ { j }} , \dots , x _ { n } ).$ ; confidence 0.060

259. ; $p _ { 1 } (\, f , \tau ) = p ( e ^ { i a \text{ln } \tau } f , \tau ).$ ; confidence 0.060

260. ; $\mathcal{E} ( L ) = \mathcal{E} ^ { a } ( L ) \omega ^ { a } \otimes \Delta$ ; confidence 0.060

261. ; $\left( \text{sign det} \left( \begin{array} { c c c c } { 1 } & { p _ { i_0 } ^ { 1 } } & { \dots } & { p _ { i_0 } ^ { k } } \\ { \vdots } & { \vdots } & { \ddots } & { \vdots } \\ { 1 } & { p _ { i_k } ^ { 1 } } & { \cdots } & { p _ { i_ k } ^ { k } } \end{array} \right) \right) _ { 1 \leq i _ { 0 } < \ldots < i _ { k } \leq n } .$ ; confidence 0.059

262. ; $u\cdot v = \sum _ { w } \mu ( u \cdot v , w ) w$ ; confidence 0.059

263. ; $\mathbf{z} ^ { n } = \{ z _ { i } ^ { n } , x _ { i } ^ { n + 1 } \}$ ; confidence 0.059

264. ; $= 12 \mathsf{E} [ F_{ X} ( X ) F _ { Y } ( Y ) ] - 3.$ ; confidence 0.059

265. ; $h ^ {\prime }$ ; confidence 0.059

266. ; $\left. \begin{array} { c c c c c } { \square } & { \square } & { C ( \mathcal{S} ) } & { \square } & { \square } \\ { \square } & { \swarrow } & { \square } & { \searrow } & { \square } \\ { \mathcal{Z} } & { \square } & { } & { \square } & { \mathcal{S}. } \\ { \square } & { \searrow } & { \square } & { \swarrow } & { \square } \\ { \square } & { \square } & { \mathcal{O} } & { \square } & { \square } \end{array} \right.$ ; confidence 0.059 ; issues with the overlapping arrow

267. ; $L / N$ ; confidence 0.059

268. ; $\rho _ { u } ( z ) = \limsup _ { t \in \text{C} } ( u ( t z ) - \operatorname { log } | t z | ).$ ; confidence 0.058

269. ; $c_{m,n}$ ; confidence 0.058

270. ; $M_ { \Gamma \varphi}$ ; confidence 0.058

271. ; $a ^ { w } = \text{Op} ( J ^ { 1 / 2 } a )$ ; confidence 0.058

272. ; $\| I _ { n } ( g ) \| _ { L ^{ 2} ( \mu ) } = \sqrt { n ! } | \hat{g} | _ { L ^{ 2} ( [ 0,1 ] ^ { n } )}$ ; confidence 0.058

273. ; $e _ { n } ( H _ { d } ^ { k } ) \asymp n ^ { - k } \cdot ( \operatorname { log } n ) ^ { ( d - 1 ) / 2 }.$ ; confidence 0.058

274. ; $\left| \sum _ { n \in I \atop \langle h ( n ) , q \rangle = 1 } e ^ { 2 \pi i g ( n ) \overline { h ( n )} / q } \right| \leq ( \operatorname { deg } ( g ) + \operatorname { deg } ( h ) ) \sqrt { q },$ ; confidence 0.058

275. ; $\kappa _ { a } = a ^ { d - 2 } 2 \pi ^ { d / 2 } / \Gamma ( ( d - 2 ) / 2 )$ ; confidence 0.058

276. ; $\mathbf{t} ^ { \text{em} }$ ; confidence 0.057

277. ; $g_{ t }$ ; confidence 0.057

278. ; $E ^{ \otimes r}$ ; confidence 0.057

279. ; $[ \cdot , \cdot ]$ ; confidence 0.057

280. ; $\sigma_{ V , V } = \tau_{ V , V} R _ { V }$ ; confidence 0.057

281. ; $\| \Delta _ { h _ { i } } ^ { 1 }\, f _ { x _ { i } } ^ { ( r _ { i } ^ { * } ) } \| _ { L _ { p } ( \Omega _ { | h _ { i }| } ) } \leq M _ { i } | h _ { i } | ^ { \alpha _ { i } },$ ; confidence 0.057

282. ; $F _ { n } = \frac { H _ { n } ^ { ( - n ) } H _ { n-2 } ^ { ( - n + 3 ) } } { H _ { n-1 } ^ { ( - n + 2 ) } H _ { n - 1 } ^ { ( - n + 1 ) } },$ ; confidence 0.057

283. ; $\psi - \psi _ { 0 } = \varepsilon A ( \xi , \tau )\, f _ { c } ( y ) e ^ { i ( \langle k _ { c } ,\, x \rangle + \mu _ { c } t ) } + \text { c.c. } + \text{h.o.t.} \ .$ ; confidence 0.057

284. ; $\hat { \sigma } = S _ { n } = \operatorname {MAD} _ { i = 1 } ^ { n } ( x _ { i } )$ ; confidence 0.057

285. ; $\mathcal{S} _ { P } = \langle P , \operatorname { Mod } _ { \mathcal{S} _ { P } } , \operatorname { mng } _ { \mathcal{S} _ { P } } , \models _{ \mathcal{S} _ { P }} \rangle$ ; confidence 0.056

286. ; $\operatorname {Bel} ( \cdot | | B )$ ; confidence 0.056

287. ; $\operatorname { inf } _ { z _ { j } , w _ { j } } \operatorname { max } _ { k \in S _ { 1 } , \atop m \in S _ { 2 } } \frac { | h ( m , k ) | } { M _ { d ^ { \prime } } ( k ) M _ { d^ { \prime \prime } } ( m ) }$ ; confidence 0.056

288. ; $\operatorname {contr} ( \tilde { \nabla } ^ { q _ { 1 } } R ( \tilde{g} ) \otimes \ldots \otimes \tilde { \nabla } ^ { q _ { m } } R ( \tilde{g} ) )$ ; confidence 0.056

289. ; $G = \left( \begin{array} { c c c c c c c } { x _ { 0 } } & { \square \ldots \square} & { x _ { p - 1 } } & { y _ { 0 } } & { \square \ldots \square } & { y _ { q - 1 } } \end{array} \right),$ ; confidence 0.056

290. ; $S _ { M } ( i t )$ ; confidence 0.056

291. ; $\sigma _ { \text{Te} } ( A , \mathcal{H} ) = \sigma _ { \text{T} } ( L _ { a } , \mathcal{Q} ( \mathcal{H} ) )$ ; confidence 0.056

292. ; $x \in \tilde { \mathbf{Q} } ^ { n }$ ; confidence 0.055

293. ; $=e ^{-\frac { m } { 1 + a ^ { 2 } } \int _ { z } ^ { \xi } \frac { p _ { 0 } ( s ) - a i } { s } d s} \times \times \left\{ \int _ { z } ^ { \xi } \frac { p _ { 1 } ( s ) - p _ { 0 } ( s ) } { s } e^{ \frac { m } { 1 + a ^ { 2 } } \int _ { z } ^ { s } \frac { p _ { 0 } ( t ) - a i } { t } d t } d s - \frac { 1 + a ^ { 2 } } { m } \right\}.$ ; confidence 0.055

294. ; $\int _ { \mathbf{T} ^ { 2 } } | \hat { \chi }_{ NB} ( x ) | d x$ ; confidence 0.055

295. ; $= \left\langle x _ { 1 } , \ldots , x _ { m } | x ^ { l_i } x ^ { k _ { i + 1} } = x ^ { l _ { i + 2 } } ; \text { indices } ( \operatorname { mod } m ) \right\rangle.$ ; confidence 0.055

296. ; $\& \{ \exists x _ { n + 1} \psi _ { \mathfrak{A} } ^ { l } \overline { a } a : a \in A \}$ ; confidence 0.055

297. ; $ \operatorname { MS } _{\mathcal{H}}=\operatorname {SS} _{\mathcal{H}} / q$ ; confidence 0.055

298. ; $\# \mathcal{P}$ ; confidence 0.055

299. ; $\text{l} _ { m + 1 } = j $ ; confidence 0.055

300. ; $\epsilon_{ 0,0} ( x , y , z , w ) \approx \epsilon_{ 0,1} ( x , y , z , w ) , \ldots , \epsilon _ { m - 1,0 } ( x , y , z , w ) \approx \epsilon _ { m - 1 , 1} ( x , y , z , w )$ ; confidence 0.055

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/NoNroff/76. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/NoNroff/76&oldid=44486

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Difference between revisions of "User:Maximilian Janisch/latexlist/latex/NoNroff/76"

Latest revision as of 01:43, 4 July 2020

List

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 == List ==
-. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120200/a12020089.png ; $T$ ; confidence 0.611
+. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t13005099.png ; $D _ { a } + D _ { a^{*} } ^ { t }$ ; confidence 0.089
-. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120200/a12020082.png ; $j$ ; confidence 0.350
+. https://www.encyclopediaofmath.org/legacyimages/w/w110/w110060/w11006049.png ; $\prod _ { j } H _ { n_j } \left( \frac { \langle y ,\, f _ { j } \rangle } { \sqrt { 2 } }  \right) ,$ ; confidence 0.089
-. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120200/a12020083.png ; $x$ ; confidence 0.720
+. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c12021037.png ; $P _ { m } ^ { \prime } ( A _ { m } ) \rightarrow 1$ ; confidence 0.089
-. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024074.png ; $P$ ; confidence 0.654
+. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011040.png ; $\| \mathcal{H} ( u , v ) \| _ { L ^ { 2 } ( \mathbf{R} ^{n}) } = \| u \|_ { L ^ { 2 } ( \mathbf{R} ^{n}) } \| v \| _ { L ^ { 2 } ( \mathbf{R} ^{n}) } ,$ ; confidence 0.089
-. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130270/a13027031.png ; $P$ ; confidence 0.519
+. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130060/i13006062.png ; $\| F ( x ) \| _ { L^{\infty} ( \mathbf{R} _ { + } ) } + \| F ( x ) \| _ { L ^ { 1 } ( \mathbf{R} _ { + } ) } +$ ; confidence 0.088
-. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120250/a12025089.png ; $K$ ; confidence 0.815
+. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130010/e1300108.png ; $a _ { 1 } , \dots , a _ { m } \in R$ ; confidence 0.088
-. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022067.png ; $m$ ; confidence 0.365
+. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n06663022.png ; $f \in H _ { p } ^ { r } ( M _ { 1 } , \ldots , M _ { n } ; \Omega ) , \quad M _ { i } > 0,$ ; confidence 0.088
-. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120260/a12026072.png ; $j$ ; confidence 0.183
+. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022042.png ; $r _ { \text{ess} } ( T ) \in \sigma _ {  \text{ess}  } ( T )$ ; confidence 0.088
-. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a011490103.png ; $Q$ ; confidence 0.469
+. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e1300308.png ; $\gamma = \left( \begin{array} { l l } { a } & { b } \\ { c } & { d } \end{array} \right) \in \operatorname { GL} _ { 2 } ( \mathbf{Q} )$ ; confidence 0.088
-. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120260/a12026014.png ; $y$ ; confidence 0.658
+. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n06663076.png ; $\Omega ^ { k } (\, f ^ { ( s ) } , \delta ) = \operatorname { sup } _ { | h | = 1}  \operatorname { sup }_{0 \leq t \leq \delta } \| \Delta _ { t h } ^ { k }\, f ^ { ( s ) } \| _ { L _ { p } ( \Omega _ { k t } ) } \leq M \delta ^ { r - s }.$ ; confidence 0.088
-. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001065.png ; $0$ ; confidence 0.129
+. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200114.png ; $\mathfrak{h} ^ {e }$ ; confidence 0.088
-. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010670/a0106705.png ; $Y$ ; confidence 0.265
+. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o130060114.png ; $\tilde { \mathfrak{E} } ( \lambda )$ ; confidence 0.088
-. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110400/a11040055.png ; $1$ ; confidence 0.449
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120320/b12032075.png ; $a _ { n  + m} = F ( a _ { n } , a _ { m } )$ ; confidence 0.087
-. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120280/a12028093.png ; $X$ ; confidence 0.482
+. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120270/c12027017.png ; $\frac { \text { Vol } ( \partial \Omega ) } { \text { Vol } ( \Omega ) } \geq \frac { c  _ { 1 } } { \operatorname { diam } \Omega } \cdot \omega , \quad   c_ { 1 } = \frac { 2 \pi \alpha ( n - 1 ) } { \alpha ( n ) },$ ; confidence 0.087
-. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012950/a012950194.png ; $I$ ; confidence 0.456
+. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130020/q13002041.png ; $\mathcal{NP} \not<  \mathbf{BQP}$ ; confidence 0.087
-. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a1303204.png ; $X$ ; confidence 0.959
+. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011990/a0119903.png ; $p _ { i }$ ; confidence 0.087
-. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a110220106.png ; $i$ ; confidence 0.432
+. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220112.png ; $.\operatorname { det } _ { \text{Q} } ^ { - 1 } ( F ^ { i + 1 - m } H _ { \text{DR} } ^ { i } ( X_{/ \mathbf{R}} ) )$ ; confidence 0.087
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b12021037.png ; $X$ ; confidence 0.252
+. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130040/e13004036.png ; $= ( \Omega _ { + } - 1 ) ( g - g_{0} ) \psi ( t ) + ( \Omega _ { + } - 1 ) _{g_{0}} \psi ( t ),$ ; confidence 0.087
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b12021082.png ; $1$ ; confidence 0.109
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018031.png ; $\operatorname {Cnn} _ { \mathcal{L} }$ ; confidence 0.087
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b12021012.png ; $1$ ; confidence 0.794
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b12043077.png ; $\Psi ( x _ { i } \bigotimes x _ { j } ) = x _ { b } \bigotimes x _ { a } R ^ { a } \square _ { i } \square ^ { b } \square_{j}$ ; confidence 0.087
-. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011660/a011660132.png ; $<$ ; confidence 0.793
+. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130140/c13014049.png ; $p _ { i ,\, j } ^ { k } = | \{ z \in X : ( x , z ) \in R _{i}\, \& ( z , y ) \in R _ { j } \} |.$ ; confidence 0.087
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b12021013.png ; $n$ ; confidence 0.289
+. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130410/s13041059.png ; $\frac { Q _ { n } ( z ) } { P _ { n } ^ { ( \alpha , \beta ) } ( z ) } \underset{ \rightarrow } { \rightarrow } \frac { 2 } { \phi ^ { \prime } ( z ) },$ ; confidence 0.087
-. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110610/a110610189.png ; $0$ ; confidence 0.398
+. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130010/g13001040.png ; $N _ { E  / F} ( z ) = z \cdot z ^ { q } \cdot \ldots \cdot z ^ { q ^ { n - 1 } }.$ ; confidence 0.087
-. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081044.png ; $1$ ; confidence 0.238
+. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130570/s13057012.png ; $\sum _ { |\mathbf{m \cdot r}| \leq N } \Delta _ { \mathbf{m} } (\, f )$ ; confidence 0.086
-. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650400.png ; $F$ ; confidence 0.372
+. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g13006043.png ; $( \lambda - a _ { i , i} ) x _ { i } = \sum _ { j = 1 \atop j \neq i } ^ { n } a _ { i ,\, j } x _ { j }.$ ; confidence 0.086
-. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130020/b13002049.png ; $0$ ; confidence 0.578
+. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130120/b1301208.png ; $| a _ { \pm n }  | \leq a _ { n } ^ { * }$ ; confidence 0.086
-. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014070/a0140704.png ; $6$ ; confidence 0.651
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120130/b12013072.png ; $\| \tilde { u } \| _ { p } \leq c \| u \| _ { p }$ ; confidence 0.086
-. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130040/b13004035.png ; $W$ ; confidence 0.345
+. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120300/d12030010.png ; $a : \mathbf{R}_{ +} \times \mathbf{R} ^ { n } \rightarrow \mathbf{R} ^ { n }$ ; confidence 0.086
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120040/b12004088.png ; $z$ ; confidence 0.428
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b120430172.png ; $\partial _ { q  , y}$ ; confidence 0.086
-. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a01160011.png ; $X$ ; confidence 0.329
+. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200108.png ; $\operatorname { max } _ { k = m + 1 , \ldots , m + n } | g ( k ) | \geq c _ { m , n } , \operatorname { min } _ { j = 1 , \ldots , n } | b _ { 1 } + \ldots + b _ { j } |$ ; confidence 0.086
-. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210142.png ; $w$ ; confidence 0.343
+. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120040/l12004037.png ; $- \Delta t a \partial _ { x } ^ { ( 1 ) } u ( x _ { i } , t ^ { n } ) + \frac { \Delta t ^ { 2 } } { 2 } a ^ { 2 } \partial _ { x } ^ { ( 2 ) } u ( x _ { i } , t ^ { n } ) + O ( \Delta t ^ { 2 } ).$ ; confidence 0.085
-. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a01417012.png ; $R$ ; confidence 0.715
+. https://www.encyclopediaofmath.org/legacyimages/v/v110/v110050/v1100506.png ; $\operatorname { lim } _ { |Q| \rightarrow 0 } \frac { 1 } { | Q | } \int _ { Q } |\, f - f _ { Q } | d t \rightarrow 0.$ ; confidence 0.085
-. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220248.png ; $D$ ; confidence 0.164
+. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120060/k12006014.png ; $ c  _ { 1 } (  L  )$ ; confidence 0.085
-. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010970/a0109703.png ; $8$ ; confidence 0.389
+. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120240/e12024024.png ; $\operatorname { Tr } _ { L l / L }$ ; confidence 0.085
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120120/b1201209.png ; $M$ ; confidence 0.664
+. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011620/a0116204.png ; $H _ { n }$ ; confidence 0.085
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120130/b120130102.png ; $p$ ; confidence 0.344
+. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130090/c13009027.png ; $L _ { i ,\, j } = L C _ { j } ( x ) |_ { x = x _ { i } }$ ; confidence 0.085
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120130/b12013075.png ; $2$ ; confidence 0.540
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024018.png ; $e _ { i }$ ; confidence 0.085
-. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a01406046.png ; $S$ ; confidence 0.643
+. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180488.png ; $\lambda g = \sum _ { i ,\, j } \lambda g_ { i j } d x ^ { i } \otimes d x ^ { j } \in \mathsf{S} ^ { 2 } \mathcal{E}$ ; confidence 0.085
-. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006015.png ; $3$ ; confidence 0.678
+. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120090/m1200907.png ; $\xi ^ { J } = \xi _ { 1 } ^ { j_1 } \ldots \xi _ { n } ^ { j_n }$ ; confidence 0.085
-. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011390/a01139010.png ; $0$ ; confidence 0.721
+. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120280/d12028098.png ; $F (\, f ) = F _ { \phi } (\, f ) = \int _ { \partial D _ { m } } f ( z ) \sum ^ { n } _ { k = 1 } ( - 1 ) ^ { k - 1 } \frac { \partial \overline{ v } } { \partial z _ { k } } d \overline{z} [ k ] \bigwedge d z.$ ; confidence 0.085
-. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a01138077.png ; $R$ ; confidence 0.486
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a130180168.png ; $\mathbf{\mathsf{RCA}} _ { \omega } = \mathbf{SP} \left\{ \left( \mathfrak { P } ( \square ^ { \omega } U ) , c _ { i } , \operatorname{Id} _ { i j } \right)_ { i ,\, j \in \omega } : U \ \text {is a set } \right\}.$ ; confidence 0.085
-. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a01130064.png ; $k$ ; confidence 0.675
+. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220195.png ; $\langle \cdot , \cdot \rangle : \operatorname{CH} ^ { p } ( X ) ^ { 0 } \times  \operatorname{CH} ^ { n + 1 - p } ( X ) ^ { 0 } \rightarrow \mathbf{R}$ ; confidence 0.085
-. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016098.png ; $K$ ; confidence 0.223
+. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020850/c02085017.png ; $X _ { k }$ ; confidence 0.085
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b12022079.png ; $2$ ; confidence 0.874
+. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220124.png ; $r _ { \mathcal{D} } : H _ { \mathcal{M} } ^ { i } ( M _ { \mathbf{Z} } , \mathbf{Q} (\, j ) ) \rightarrow H _ { \mathcal{D} } ^ { i } ( M_{ / \mathbf{R}} , \mathbf{R} (\, j ) )$ ; confidence 0.085
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120240/b12024011.png ; $D$ ; confidence 0.996
+. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170255.png ; $B _ { 2 } \stackrel { d } { \rightarrow } B _ { 1 } \stackrel { d _ { 1 } } { \rightarrow } B _ { 0 } \rightarrow 0,$ ; confidence 0.085
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120240/b12024028.png ; $f$ ; confidence 0.788
+. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c120210124.png ; $\| P _ { n , \theta _ { n }} - R _ { n  , h }\| \rightarrow 0$ ; confidence 0.085
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120340/b12034016.png ; $K$ ; confidence 0.639
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a130180125.png ; $\exists b _ { i } : b = \langle b _ { 0 } , \dots , b _ { i  - 1} , b _ { i } , b _ { i  + 1} , \dots , b _ { n  - 1} \rangle \in R \}.$ ; confidence 0.084
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120360/b1203608.png ; $P$ ; confidence 0.722
+. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180391.png ; $\{ \otimes ^ { * } \tilde { \mathcal{E} } , \tilde { \nabla } \}$ ; confidence 0.084
-. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600250.png ; $f$ ; confidence 0.780
+. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110010/h11001023.png ; $\frac { 1 } { x } \cdot \sum _ { n \leq x } f ( n ) = c x ^ { ia_{0} } .$ ; confidence 0.084
-. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012120/a01212027.png ; $6$ ; confidence 0.250
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120100/b12010033.png ; $F ( 0 ) = ( F _ { 1 } ( 0 , x _ { 1 } ) , \ldots , F _ { n } ( 0 , x _ { 1 } , \ldots , x _ { n } ) , \ldots ).$ ; confidence 0.084
-. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040188.png ; $D$ ; confidence 0.563
+. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110750/b11075015.png ; $v _ { 1 } , \dots , v _ { m }$ ; confidence 0.084
-. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011840/a01184056.png ; $G$ ; confidence 0.972
+. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046080/h04608030.png ; $mn$ ; confidence 0.083
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040047.png ; $C$ ; confidence 0.307
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040304.png ; $\Theta_{ \mathsf{Q} } ( a , b )$ ; confidence 0.083
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b120400123.png ; $V$ ; confidence 0.957
+. https://www.encyclopediaofmath.org/legacyimages/o/o120/o120050/o12005082.png ; $\operatorname { sup } _ { u > 0 } \varphi ^ { \prime } ( a u ) / \varphi ^ { \prime } ( u ) < 1$ ; confidence 0.083
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040055.png ; $S$ ; confidence 0.662
+. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032011.png ; $+ h \sum _ { j = 1 } ^ { s } B _ { j } ( h T ) \left[\, f ( t _ { m } + c _ { j } h , u _ { m + 1 } ^ { ( j ) } ) - T u _ { m +1 } ^ { ( j ) }  \right].$ ; confidence 0.083
-. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130210/b13021050.png ; $k$ ; confidence 0.936
+. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021620/c021620170.png ; $w _ { 1 } , \ldots , w _ { n }$ ; confidence 0.083
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b12042022.png ; $8$ ; confidence 0.902
+. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120120/p12012016.png ; $R ^ { a } _{b c d}$ ; confidence 0.083
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b12042024.png ; $1$ ; confidence 0.998
+. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170251.png ; $X \stackrel { f } { \rightarrow } Y \stackrel { g } { \rightarrow } X$ ; confidence 0.083
-. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b12042093.png ; $v$ ; confidence 0.248
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120020/b12002043.png ; $\alpha _ { n  , F} \circ Q + \beta _ { n , F }$ ; confidence 0.082
-. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130220/b13022090.png ; $q$ ; confidence 0.260
+. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520163.png ; $J (\, f ) = \left\| \begin{array} { c c c c c c } { a } & { 1 } & { \square } & { \square } & { \square } & { 0 } \\ { \square } & { \cdot } & { \square } & { \square } & { \square } & { \square } \\ { \square } & { \square } & { . } & { \square } & { \square } & { \square } \\ { \square } & { \square } & { \square } & { . } & { \square } & { \square } \\ { \square } & { \square } & { \square } & { \square } & { . } & { 1 } \\ { 0 } & { \square } & { \square } & { \square } & { \square } & { a } \end{array} \right\|,$ ; confidence 0.082
-. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130230/b13023066.png ; $T$ ; confidence 0.466
+. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d12002092.png ; $v _ { \text{M} }$ ; confidence 0.082
-. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130230/b13023020.png ; $8$ ; confidence 0.369
+. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120070/e12007077.png ; $\{ p _ { M } : M \in \Gamma \}$ ; confidence 0.082
-. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150016.png ; $E$ ; confidence 0.905
+. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120190/c12019032.png ; $H ^ { q } ( B \Gamma , \mathbf{C} ) \simeq H ^ { q } ( \Gamma , \mathbf{C} )$ ; confidence 0.082
-. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010910/a01091016.png ; $C$ ; confidence 0.820
+. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020263.png ; $= v _ { M }$ ; confidence 0.082
-. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013000/a013000141.png ; $f$ ; confidence 0.914
+. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180402.png ; $\operatorname { Ric } ( \tilde{g} ) = 0 \in \mathsf{S} ^ { 2 } \tilde{\mathcal{E}}$ ; confidence 0.082
-. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130260/b13026022.png ; $=$ ; confidence 0.263
+. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027570/c02757096.png ; $h_{n}$ ; confidence 0.081
-. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130270/b13027054.png ; $K$ ; confidence 0.440
+. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120080/i12008079.png ; $Z = \sum _ { S _ { 1 } = \pm 1 }  \left( S _ { 1 } | \mathcal{P} ^ { N } | S _ { 1 } \right) = \lambda _ { + } ^ { N } + \lambda ^ { N }_{-},$ ; confidence 0.081
-. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130280/b1302806.png ; $u$ ; confidence 0.255
+. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130180/d13018022.png ; $J _ { E }$ ; confidence 0.081
-. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290118.png ; $9$ ; confidence 0.849
+. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120190/c12019040.png ; $\varphi_{ *} : K _ { 0 } ^ { \text{alg} } ( \mathcal{C} _ { 1 } \bigotimes \mathbf{C} [ \Gamma ] ) \rightarrow \mathbf{C},$ ; confidence 0.081
-. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010222.png ; $E$ ; confidence 0.382
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b120420146.png ; $\Psi _ { V , W } ( v \bigotimes w ) = \sum v ^ { \overline{( 1 )} } \rhd w \bigotimes v ^ { \overline{( 2 )} }.$ ; confidence 0.080
-. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010600/a0106001.png ; $A$ ; confidence 0.968
+. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f130290152.png ; $( X , \tau ) \in | L \square \mathbf{TOP} |$ ; confidence 0.080
-. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010670/a01067011.png ; $5$ ; confidence 0.541
+. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130030/h1300305.png ; $s _ { k }$ ; confidence 0.080
-. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011970/a01197024.png ; $a$ ; confidence 0.345
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a1300409.png ; $\lambda ^ { \mathbf{Fm} } ( \varphi_0 , \dots , \varphi _ { n  - 1} )$ ; confidence 0.080
-. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650460.png ; $D$ ; confidence 0.583
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040736.png ; $\text { Alg } \text {Mod} ^ { *  \text{L}} \mathcal{DS}  = \cup \{ \text { Alg } \text {Mod} ^ { *  \text{L}} \mathcal{DS} _ { P } : P \ \text { a set } \}$ ; confidence 0.080
-. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110080/c11008022.png ; $T$ ; confidence 0.422
+. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120210/t12021084.png ; $t ( G ; x , y ) = \sum_{ S \subseteq E} ( x - 1 ) ^ { r ( G ) - r ( S ) } ( y - 1 ) ^ { | S | - r ( S ) }$ ; confidence 0.080
-. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130060/c13006021.png ; $2$ ; confidence 0.617
+. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110010/h11001029.png ; $\operatorname { lim } _ { K \rightarrow \infty } \operatorname { sup } _ { x \geq 1 } \frac { 1 } { x } \cdot \sum _ { n \leq x , |\, f ( n )| \geq K } \quad | f ( n ) | = 0.$ ; confidence 0.080
-. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c13007064.png ; $<$ ; confidence 0.290
+. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120150/p12015069.png ; $r_1 / r _ { 2 } \notin \mathbf{Z} _ { n }$ ; confidence 0.080
-. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012950/a012950147.png ; $T$ ; confidence 0.794
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040627.png ; $\langle \mathbf{Fm} _ { P } , \models_{\mathcal{S}_ { P }} \rangle$ ; confidence 0.080
-. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010710/a01071044.png ; $t$ ; confidence 0.299
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120370/b12037031.png ; $j_1 , \ldots , j _ { r } < i$ ; confidence 0.079
-. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130080/c13008017.png ; $7$ ; confidence 0.433
+. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096910/v09691010.png ; $\overline{ h }$ ; confidence 0.079
-. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130090/c13009015.png ; $C$ ; confidence 0.714
+. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l05700097.png ; $\mathbf{zero}_{?} \equiv \lambda p \cdot p ( \lambda x \cdot \mathbf{false})\mathbf{true}$ ; confidence 0.079
-. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001015.png ; $x$ ; confidence 0.928
+. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120050/w12005015.png ; $A _ { i } = A \cdot e _ { i } = \mathbf{R} \cdot e_{i}  \oplus N _ { i }$ ; confidence 0.079
-. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130140/c13014037.png ; $R$ ; confidence 0.443
+. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011014.png ; $( \operatorname{Op} ( a ) u ) ( x ) = \int e ^ { 2 i \pi x \cdot \xi } a ( x , \xi ) \hat { u } ( \xi ) d \xi,$ ; confidence 0.079
-. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c120170117.png ; $M$ ; confidence 0.912
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120060/b12006021.png ; $\Delta_ { 2 } U = \frac { \partial ^ { 2 } U } { \partial t ^ { 2 } },$ ; confidence 0.078
-. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180134.png ; $P$ ; confidence 0.718
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120020/b12002037.png ; $\alpha_{n, F} = n ^ { 1 / 2 } ( F _ { n } - F )$ ; confidence 0.078
-. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c12021082.png ; $L$ ; confidence 0.757
+. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220159.png ; $r _ { \mathcal{D} }$ ; confidence 0.078
-. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025340/c02534010.png ; $1$ ; confidence 0.899
+. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t120050124.png ; $\widetilde{ d ^ { 2 } f } _ { x } : \mathbf{R} ^ { n } \times \mathbf{R} ^ { n } \rightarrow \mathbf{R}$ ; confidence 0.078
-. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130210/c13021022.png ; $i$ ; confidence 0.605
+. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130080/z13008043.png ; $R _ { k + l } ^ { k - l } ( r ; \alpha ) = \frac { l ! } { ( \alpha + 1 ) _ { l } } r ^ { k - l } P _ { l } ^ { ( \alpha , k - l ) } ( 2 r ^ { 2 } - 1 ),$ ; confidence 0.078
-. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130250/c13025025.png ; $Y$ ; confidence 0.773
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120360/b12036010.png ; $\epsilon_{l}$ ; confidence 0.078
-. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130250/c13025070.png ; $1$ ; confidence 0.812
+. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130220/m13022068.png ; $p ^ { - 1 } \prod _ { \underset{n \in \mathbf{Z} }{m > 0} } ( 1 - p ^ { m } q ^ { n } ) ^ { a_{ m n} } = j ( w ) - j ( z )$ ; confidence 0.078
-. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130250/c13025054.png ; $S$ ; confidence 0.310
+. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w13009039.png ; $\theta _ { n } ( h _ { 1 } \bigotimes \ldots \bigotimes h _ { n } ) = P _ { n } ( \tilde { h _ { 1 } } \ldots \tilde { h _ { n } } ).$ ; confidence 0.078
-. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021086.png ; $P$ ; confidence 0.601
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040335.png ; $E ( x , y ) \vdash _ { \mathcal{D} } E ( y , x ) , \quad E ( x , y ) , E ( y , z ) \vdash _ { \mathcal{D} } E ( x , z ),$ ; confidence 0.078
-. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120300/c120300113.png ; $A$ ; confidence 0.995
+. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230104.png ; $\mathcal{E} ^ { a } ( L ) = \sum _ { | \alpha | = 0 } ^ { k } ( - 1 ) ^ { | \alpha | } D ^ { \alpha } \left( \frac { \partial L } { \partial y _ { \alpha } ^ { a } } \right),$ ; confidence 0.077
-. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120310/c12031053.png ; $E$ ; confidence 0.867
+. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043320/g0433201.png ; $\| u \| _ { m } ^ { 2 } \leq c _ { 1 } \operatorname { Re } B [ u , u ] = c _ { 2 } \| u \| _ { 0 } ^ { 2 },$ ; confidence 0.077
-. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a01138088.png ; $u$ ; confidence 0.282
+. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120240/s12024058.png ; $\mathbf{z} ^ { n } = \{ z ^ { n  _ { i } } , x _ { i } ^ { n + 1 } \} , \overline{\mathbf{z}} \square ^ { n } = \{ z _ { i } ^ { n } , \overline{x} \square _ { i } ^ { n + 1 } \}$ ; confidence 0.077
-. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020223.png ; $Y$ ; confidence 0.171
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a130180146.png ; $\mathbf{\mathsf{RCA}} _ { n } = \mathbf{SP} \{ \mathfrak{Rel} _ { n } ( U ) : U \   \text {is a set } \},$ ; confidence 0.077
-. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120050/d12005068.png ; $F$ ; confidence 0.223
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240422.png ; $\mathbf{a}$ ; confidence 0.077
-. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006070.png ; $T$ ; confidence 0.587
+. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120260/d12026032.png ; $X \underline { \square } _ { n } = \operatorname { inf } _ { t } X _ { n } ( t )$ ; confidence 0.077
-. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015350/b015350236.png ; $H$ ; confidence 0.780
+. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120270/c12027018.png ; $\frac { \operatorname {Vol} ( \partial \Omega ) ^ { n } } { \operatorname {Vol} ( \Omega ) ^ { n - 1 } } \geq c  _ { 2 } \cdot \omega ^ { n + 1 } , \quad  c _ { 2 } = \frac { \alpha ( n - 1 ) ^ { n } } { \left( \frac { \alpha ( n ) } { 2 } \right) ^ { n - 1 } }.$ ; confidence 0.077
-. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006019.png ; $P$ ; confidence 0.935
+. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054060.png ; $\operatorname {SL} _ { n } ( F )$ ; confidence 0.077
-. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006065.png ; $1$ ; confidence 0.949
+. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130070/p13007060.png ; $\mathcal{L} = \{ u \in \operatorname { PSH } ( \mathbf{C} ^ { n } ) : u - \operatorname { log } ( 1 + | z | ) = O ( 1 ) ( z \rightarrow \infty ) \}.$ ; confidence 0.077
-. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120120/d12012054.png ; $-$ ; confidence 0.681
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120340/b12034078.png ; $\|\, f \| \leq \operatorname { sup } _ { M } |\, f ( z ) |$ ; confidence 0.077
-. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120150/d12015046.png ; $5$ ; confidence 0.327
+. https://www.encyclopediaofmath.org/legacyimages/x/x120/x120010/x12001053.png ; $|G:G_{\text{inn}}|< \infty$ ; confidence 0.077
-. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130130/d13013075.png ; $H$ ; confidence 0.998
+. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017041.png ; $\hat { X } \in \operatorname { ker } \delta _ { \hat { A } ^ { * } , B  ^ { * }}$ ; confidence 0.077
-. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130130/d13013020.png ; $A$ ; confidence 0.829
+. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011390/a01139028.png ; $\hat { C }$ ; confidence 0.077
-. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023360/c02336027.png ; $r$ ; confidence 0.545
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a130180134.png ; $\mathfrak { Rel } _ { n } ( U ) = \left( \mathfrak { P } ( \square ^ { n } U ) , c _ { 0 } , \ldots , c _ { n  - 1} , \operatorname{Id} \right)$ ; confidence 0.077
-. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120180/d12018019.png ; $D$ ; confidence 0.856
+. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110239.png ; $a \sharp  b = a b + S ( m _ { 1 } m _ { 2 } H , G ) ,\; a \sharp  b = a b + \frac { 1 } { 2 \iota } \{ a , b \} + S ( m _ { 1 } m _ { 2 } H ^ { 2 } , G ),$ ; confidence 0.076
-. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d120230184.png ; $D$ ; confidence 0.536
+. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021072.png ; $c_ 1 , \ldots , c _ { n }$ ; confidence 0.076
-. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b01747062.png ; $i$ ; confidence 0.384
+. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011820/a01182030.png ; $a _ { j }$ ; confidence 0.076
-. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012120/a01212058.png ; $R$ ; confidence 0.727
+. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200133.png ; $\geq 2 \left( \frac { \delta _ { 1 } - \delta _ { 2 } } { 12 e } \right) ^ { n } \operatorname { min } _ { j = h , \ldots , l } | b _ { 1 } + \ldots + b _ { j } |.$ ; confidence 0.076
-. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d120230157.png ; $z$ ; confidence 0.730
+. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014020/a01402029.png ; $\psi _ { i }$ ; confidence 0.075
-. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023078.png ; $P$ ; confidence 0.312
+. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130220/b1302202.png ; $P _ { k  - 1}$ ; confidence 0.075
-. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d120230110.png ; $C$ ; confidence 0.632
+. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130040/z13004016.png ; $K _ { n , m}$ ; confidence 0.075
-. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023130/c023130157.png ; $t$ ; confidence 0.511
+. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130160/c13016082.png ; $\text{NTIME}$ ; confidence 0.075
-. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130210/d13021013.png ; $G$ ; confidence 0.872
+. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050123.png ; $Se  ^ { - s A ( t , u ) } \supset e ^ { - s \hat{A} ( t , u ) } S,$ ; confidence 0.075
-. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014140/a01414019.png ; $A$ ; confidence 0.926
+. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130200/m13020010.png ; $0 \rightarrow H ^ { 0 } ( M ) \rightarrow C ^ { \infty } ( M ) \stackrel { H } { \rightarrow }  \mathfrak{X} ( M , \omega ) \stackrel { \gamma } { \rightarrow } H ^ { 1 } ( M ) \rightarrow 0,$ ; confidence 0.075
-. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016600/b01660012.png ; $Y$ ; confidence 0.253
+. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120150/p12015070.png ; $\int _ { | x - a _ { j } | \leq r _ { j } } f ( x ) d x , \quad | a _ { j } | + r _ { j } < 1 ,\; j = 1,2,$ ; confidence 0.075
-. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e13003027.png ; $3$ ; confidence 0.803
+. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120020/f12002016.png ; $P \sum _ { n = 0 } ^ { \infty } ( Q - 1 ) ^ { n }$ ; confidence 0.075
-. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e12010033.png ; $v$ ; confidence 0.622
+. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110160/f110160120.png ; $\psi _ { \mathfrak { A } } ^ { l } \overline {a}$ ; confidence 0.075
-. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e1201006.png ; $f$ ; confidence 0.651
+. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t13005064.png ; $( \mathcal{X} \otimes e _ { 0 } ) \oplus ( \mathcal{X} \otimes e_ { 1 } )$ ; confidence 0.075
-. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110040/b11004042.png ; $X$ ; confidence 0.308
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120030/b12003041.png ; $\| \operatorname { tg } ( t ) \| _ { 2 } \| \gamma \hat{g} ( \gamma ) \| _ { 2 } \geq ( 4 \pi ) ^ { - 1 } \| g \| _ { 2 } ^ { 2 }$ ; confidence 0.075
-. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e12010031.png ; $.$ ; confidence 0.738
+. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t130050107.png ; $A _ { k } \equiv ( a _ { i ,\, j } ^ { ( k ) } ) _ { i ,\, j = 1 } ^ { \operatorname { dim } \mathcal{X} }$ ; confidence 0.075
-. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130040/e13004034.png ; $P$ ; confidence 0.987
+. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051620/i051620126.png ; $\overline{z} = ( \overline{z}_{1} , \dots , \overline{z}_ { n } )$ ; confidence 0.074
-. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120140/e12014043.png ; $5$ ; confidence 0.854
+. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041860/f0418602.png ; $\mathbf{C} ^ { n  + 1}$ ; confidence 0.074
-. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016990/b01699071.png ; $M$ ; confidence 0.864
+. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b13029070.png ; $( a _ { 1 } , \dots , a _ { i - 1 } ) : a _ { i } a _ { j } = ( a _ { 1 } , \dots , a _ { i - 1 } ) : a _ { j }$ ; confidence 0.074
-. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120160/e12016017.png ; $R$ ; confidence 0.559
+. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020255.png ; $v _ { M } > v ^ { * }$ ; confidence 0.074
-. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a014060108.png ; $x$ ; confidence 0.091
+. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120270/s12027019.png ; $\{ x _ { 1  , n} , \dots , x _ { n  , n} \} \subseteq \{ y _ { 1  , m} , \dots , y _ { m  , m} \},$ ; confidence 0.074
-. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110160/c1101607.png ; $=$ ; confidence 0.993
+. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f12023047.png ; $K _ { x } \in \wedge ^ { k + 1 } T _ { x } ^ { * } M \otimes T _ { x }\, M$ ; confidence 0.074
-. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120190/e120190172.png ; $W$ ; confidence 0.656
+. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120280/a12028010.png ; $\hat{x} ( n ) = \int _ { \mathbf{T} } \overline{z}^{n} U _ { z } ( x ) d z$ ; confidence 0.074
-. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120040/f12004032.png ; $R$ ; confidence 0.818
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018045.png ; $\mathfrak{M} \in \operatorname{Mod}_{\tau}$ ; confidence 0.074
-. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120040/f12004037.png ; $=$ ; confidence 0.973
+. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b130300102.png ; $B ( m , n , i ) = \langle a _ { 1 } , \dots , a _ { m } | A _ { 1 } ^ { n } , \dots , A _ { i } ^ { n } \rangle$ ; confidence 0.074
-. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110400/a11040054.png ; $6$ ; confidence 0.208
+. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d12002047.png ; $U _ { 1 } = \{ u _ { 1 } \geq 0 : c ^ { T } \tilde { x } ^{ ( k ) } + u _ { 1 } A _ { 1 } \tilde{x} ^ { ( k ) } \geq 0 \text { for all } k \in R \}$ ; confidence 0.074
-. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120050/f1200504.png ; $f$ ; confidence 0.904
+. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m130140140.png ; $= ( 2 \pi i ) ^ { 1 - n } \int _ { \Delta _ { n } } d t \int _ { S } ( F _ { n }\, f ) \times \times \left( ( 1 - t _ { 2 } - \ldots - t _ { n } ) ( z , \zeta ) , \frac { t _ { 2 } } { \zeta _ { 2 } } ( z , \zeta ) , \ldots , \frac { t _ { n } } { \zeta _ { n } } ( z , \zeta ) \right) \frac { d \zeta } { \zeta },$ ; confidence 0.073
-. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120050/f12005015.png ; $f$ ; confidence 0.775
+. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340146.png ; $\alpha _ { H } ( \tilde{y} ) - \alpha _ { H } ( \tilde{x} ) = 1$ ; confidence 0.073
-. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120080/f12008099.png ; $1$ ; confidence 0.966
+. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120310/c12031011.png ; $e _ { n } ( F _ { d } ) = \operatorname { inf } _ { Q _ { n } } e ( Q _ { n } , F _ { d } ).$ ; confidence 0.073
-. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f120110197.png ; $Q$ ; confidence 0.254
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120310/b12031011.png ; $M _ { R } ^ { \delta } (\, f ) ( x ) = \int _ { | \xi | \leq R } \left( 1 - \frac { | \xi | ^ { 2 } } { R ^ { 2 } } \right) ^ { \delta } e ^ { 2 \pi i x \cdot \xi } \hat { f } ( \xi ) d \xi .$ ; confidence 0.073
-. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f12011079.png ; $0$ ; confidence 0.841
+. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011082.png ; $\mathbf{R} _ { x } ^ { n } \times \mathbf{R} _ { \xi } ^ { n }$ ; confidence 0.073
-. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f120110175.png ; $f$ ; confidence 0.622
+. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180504.png ; $R ( \tilde{ g } ) = W ( \tilde { g } ) \in \mathsf{A} ^ { 2 } \tilde{ \mathcal{E} } \otimes \mathsf{A} ^ { 2 } \tilde{ \mathcal{E} }$ ; confidence 0.073
-. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110150/f110150105.png ; $6$ ; confidence 0.440
+. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130010/m13001029.png ; $\langle a _ { 1 } , \dots , a _ { n } \rangle$ ; confidence 0.073
-. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120160/f12016030.png ; $k$ ; confidence 0.506
+. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130010/m13001032.png ; $v _ { \operatorname {MAP} } = \operatorname { arg } \operatorname { max } _ { v _ { j } \in \mathcal{V} } \mathsf{P} ( a _ { 1 } , \ldots , a _ { n } | v _ { j } ) \cdot \mathsf{P} ( v _ { j } ).$ ; confidence 0.073
-. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120160/f1201607.png ; $T$ ; confidence 0.559
+. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110020/l11002057.png ; $a = c _ { 1 } \dots c _ { n }$ ; confidence 0.073
-. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120190/f12019038.png ; $N$ ; confidence 0.520
+. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120270/a12027077.png ; $W _ { P } (\, \rho _ { a } )$ ; confidence 0.073
-. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210108.png ; $m$ ; confidence 0.740
+. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130070/e13007045.png ; $\ll \frac { N ^ { 2 } } { H } + \frac { N } { H } \sum _ { 1 \leq h \leq H } \left| \sum_ { M < n \leq M + N - h } e ^ { 2 \pi i ( \, f ( n + h ) - f ( n ) ) } \right|,$ ; confidence 0.073
-. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021085.png ; $C$ ; confidence 0.323
+. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120280/c12028015.png ; $\mathcal{B} : \mathcal{C} \text{rs} \rightarrow \mathcal{FT} \text{op}$ ; confidence 0.073
-. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130280/f13028017.png ; $7$ ; confidence 0.283
+. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012810/a0128105.png ; $t_{1}$ ; confidence 0.072
-. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040127.png ; $A$ ; confidence 0.891
+. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200126.png ; $\oplus _ { i }  G_ {i}$ ; confidence 0.072
-. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110670/b1106709.png ; $5$ ; confidence 0.489
+. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130110/s13011017.png ; $\partial _ { i }\, f _ { w } = \left\{ \begin{array} { l l } { 0 } & { \text{if} \ \text{l} ( s _ { i } w ) > \text{l} ( w ), } \\ { f _ { s _ { i } w } } & { \text{if} \ \text{l}( s _ { i } w ) <  \text{l}( w ), } \end{array} \right.$ ; confidence 0.072
-. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a011380105.png ; $w$ ; confidence 0.411
+. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130130/p13013024.png ; $\tilde { S } _ { n }$ ; confidence 0.072
-. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f13029037.png ; $T$ ; confidence 0.915
+. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023086.png ; $\left( \frac { \partial } { \partial x } \right) ^ { \alpha } = \left( \frac { \partial } { \partial x _ { 1 } } \right) ^ { \alpha _ { 1 } } \dots \left( \frac { \partial } { \partial x _ { n } } \right) ^ { \alpha _ { n } }.$ ; confidence 0.072
-. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022800/c02280056.png ; $1$ ; confidence 1.000
+. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120060/i12006089.png ; $v \in e$ ; confidence 0.072
-. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f130290125.png ; $2$ ; confidence 0.158
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b12021032.png ; $= \sum _ { i = 1 } ^ { k } ( - 1 ) ^ { i + 1 } X X _ { i } \bigotimes X _ { 1 } \bigwedge \ldots \bigwedge \hat{X} _ { i } \bigwedge \ldots \bigwedge X _ { k } +$ ; confidence 0.072
-. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042230/f04223042.png ; $1$ ; confidence 0.945
+. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120100/l12010066.png ; $\| \nabla f \| _ {{ L } ^ 2   ( \mathbf{R} ^ { n } ) } \geq S _ { n } \|\, f \| _ { L ^{ 2 n / ( n - 2 ) } ( \mathbf{R} ^ { n } ) }$ ; confidence 0.071
-. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g13006065.png ; $a$ ; confidence 0.402
+. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120080/k12008079.png ; $= \frac { 1 } { ( 2 \pi i ) ^ { n } } \int _ { \partial \Omega } \sum _ { | \alpha | + \beta = n - 1 } \left( \prod _ { j = 0 } ^ { m } \frac { \langle \rho ^ { \prime } ( \xi ) ,\, z - p _ { j } \rangle } { \langle \rho ^ { \prime } ( \xi ) ,\, \xi - p _ { j } \rangle } \right) \times \times \frac { f ( \xi ) \partial \rho ( \xi ) \wedge ( \overline { \partial } \partial \rho ( \xi ) ) ^ { n - 1 } } { \langle \rho ^ { \prime } ( \xi ) ,\, \xi - p \rangle ^ { \alpha } \langle \rho ^ { \prime } ( \xi ) ,\, \xi - z \rangle ^ { \beta + 1 } },$ ; confidence 0.071
-. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015660/b01566013.png ; $X$ ; confidence 0.944
+. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012950/a012950198.png ; $t ^ { n }$ ; confidence 0.071
-. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031380/d031380266.png ; $N$ ; confidence 0.988
+. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130110/s13011015.png ; $f _ { w } \in \mathbf{Z} [ x _ { 1 } , \dots , x _ { n } ]$ ; confidence 0.071
-. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120050/g12005030.png ; $k$ ; confidence 0.736
+. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e12010035.png ; $\mathbf{f} ^ { \text{em} } = 0 = \operatorname { div } \mathbf{t} ^ { \text{em} \cdot f} - \frac { \partial \mathbf{G} ^ { \text{em}\cdot f } } { \partial t },$ ; confidence 0.071
-. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120050/g12005020.png ; $R$ ; confidence 0.429
+. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f12021089.png ; $\pi ( \lambda ) = ( \lambda + 2 ) ( \lambda + 1 ) a ^ { 2_0 } + ( \lambda + 1 ) a ^ { 1_0 }  + a ^ { 0_0 } =$ ; confidence 0.071
-. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011480/a01148046.png ; $a$ ; confidence 0.256
+. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130020/i13002037.png ; $S _ { k } = \mathsf{E} \left[ \left( \begin{array} { l } { X } \\ { k } \end{array} \right) \right] = \sum _ { i = 1 } ^ { n } \left( \begin{array} { l } { i } \\ { k } \end{array} \right) p _ { i }$ ; confidence 0.071
-. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120020/h12002046.png ; $P$ ; confidence 0.952
+. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130130/p13013073.png ; $\zeta _ { \lambda } ^ { + \lambda } = \zeta _ { \lambda } ^ { - \lambda } = i ^ { ( n - r ( \lambda ) ) / 2 } \sqrt { ( \lambda _ { 1 } \ldots \lambda _ { r ( \lambda ) } ) }.$ ; confidence 0.071
-. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020080/c02008019.png ; $N$ ; confidence 0.200
+. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w13008060.png ; $\frac { \Omega _ { n } } { \partial T _ { m } } = \frac { \partial \Omega _ { m } } { \partial T _ { n } }.$ ; confidence 0.071
-. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130070/h13007041.png ; $e$ ; confidence 0.472
+. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f1201105.png ; $| \varphi ( z ) | e ^ { \delta | z | } < \infty \text { for some } \delta > 0.$ ; confidence 0.071
-. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014070/a0140703.png ; $1$ ; confidence 0.995
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040605.png ; $\operatorname {mng} _ { \mathcal{S} _ { P }, \mathfrak { M } } ( \varphi ) = \operatorname { mng } _ { \mathcal{S} _ { P }, \mathfrak { M } } ( \psi )$ ; confidence 0.071
-. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780520.png ; $v$ ; confidence 0.463
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040539.png ; $\vdash _ { \mathcal{G} } \theta _ { 0 } , \ldots , \theta _ { n - 1 } \rhd \xi ,$ ; confidence 0.070
-. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a011380163.png ; $-$ ; confidence 0.685
+. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110160/f110160101.png ; $x_1 , \dots ,  x_ { n } , \dots$ ; confidence 0.070
-. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i130030127.png ; $W$ ; confidence 0.990
+. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n06663089.png ; $q_{v _ { 1 }  , \ldots , v _ { n } } ( x _ { 1 } , \ldots , x _ { n } ) \in L _ { p } ( \mathbf{R} ^ { n } )$ ; confidence 0.070
-. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130040/i1300405.png ; $I$ ; confidence 0.355
+. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120080/q12008086.png ; $\mathsf{E} [T]_{ \operatorname { SRPTF }} =$ ; confidence 0.069
-. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022850/c0228508.png ; $N$ ; confidence 0.242
+. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120010/q12001081.png ; $S ( C ) ^ { o } = H \operatorname { exp } C ^ { o }$ ; confidence 0.069
-. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i130090154.png ; $0$ ; confidence 0.240
+. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110020/l1100207.png ; $\{ G ; \cdot , e ,^{ - 1} , \vee , \wedge \}$ ; confidence 0.069
-. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i13009092.png ; $P$ ; confidence 0.571
+. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120160/s12016034.png ; $n ^ { - k / d }$ ; confidence 0.069
-. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110230/d11023013.png ; $F$ ; confidence 0.354
+. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c1200801.png ; $C ^ { n  \times m}$ ; confidence 0.069
-. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j13004040.png ; $L$ ; confidence 0.462
+. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220213.png ; $\operatorname { Ext }^{1} _ { \mathcal{MH} _ { \mathbf{R} } ^ { + } } ( \mathbf{R} ( 0 ) , H _ { \text{B} } ^ { i } ( X ) , \mathbf{R} (\, j ) )$ ; confidence 0.068
-. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031210/d03121061.png ; $i$ ; confidence 0.920
+. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130160/c13016054.png ; $\text{NSPACE} [t( n )]$ ; confidence 0.068
-. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120050/k12005062.png ; $p$ ; confidence 0.704
+. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023075.png ; $\mathcal{E} ^ { a  } ( L ) = \frac { \partial L } { \partial y ^ { a } } - D _ { i } \left( \frac { \partial L } { \partial y ^ { a _ { i } } } \right),$ ; confidence 0.068
-. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450184.png ; $x$ ; confidence 0.322
+. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130190/b13019051.png ; $\sum _ { m  } b ( m ) e \left( \frac { m a } { q } \right) g ( m ) = \sum _ { n } b ( n ) e \left( - n \frac { \overline { a } } { q } \right) \mathcal{L} g ( n ),$ ; confidence 0.068
-. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021450/c0214503.png ; $P$ ; confidence 0.237
+. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120150/e12015052.png ; $g ^ { i }_{ ; j ; k } / 2$ ; confidence 0.068
-. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021180/c021180103.png ; $S$ ; confidence 0.761
+. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130230/m130230147.png ; $( ( X _ { n  + 1} , B _ { n  + 1} ) , f _ { n + 1 } ) = ( ( Y , \phi_{ * } B _ { n } ) , f _ { n } \circ \phi ^ { - 1 } )$ ; confidence 0.068
-. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110330/c11033012.png ; $p$ ; confidence 0.339
+. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110260/b11026010.png ; $X ^ { \prime } = \sqrt { X ^ { 2 } + \tilde { y } ^ { 2 } } e ^ { ( \operatorname { arctan } \tilde{y} / X + k \pi ) \rho / \omega } - X _ { H } + \tilde{x},$ ; confidence 0.068
-. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120100/k12010065.png ; $A$ ; confidence 0.982
+. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s13064026.png ; $T ( a ) = ( a _ { j  - k} ) _ { j , k = 0} ^ { \infty }$ ; confidence 0.068
-. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022093.png ; $Z$ ; confidence 0.686
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040530.png ; $\varphi _ { 0 } , \ldots , \varphi _ { n - 1 } \rhd \varphi _ { n }$ ; confidence 0.068
-. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840115.png ; $L$ ; confidence 0.997
+. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110260/b11026018.png ; $ \tilde {x} = \tilde { y } = 0$ ; confidence 0.068
-. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k05584022.png ; $K$ ; confidence 0.924
+. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180201.png ; $\mathsf{S} ^ { 2 } \mathcal{E} \otimes \mathsf{S} ^ { 2 } \mathcal{E} \subset \bigotimes ^ { 4 } \mathcal{E}$ ; confidence 0.068
-. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057020/l05702065.png ; $Q$ ; confidence 0.915
+. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i13003046.png ; $a | _ { T ^{*} M ^{ g }}$ ; confidence 0.068
-. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110010/l11001022.png ; $i$ ; confidence 0.140
+. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m130140112.png ; $= \left\{ z : \sum _ { l = 1 } ^ { n } b _ { j } ^ { l } | c _ { l1 } ^ { p } ( z _ { 1 } - a _ { 1 } ) + \ldots + c _ { l n } ^ { p } ( z _ { n } - a _ { n } ) | ^ { 2 } < r _ { j , k } ^ { 2 } \right\} ,\; b _ { j } ^ { l } > 0 ;\; j = 1 , \ldots , n ;
+\; k = 1,2 ;\; p = 1 , \ldots , n.$ ; confidence 0.067
-. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023530/c023530161.png ; $X$ ; confidence 0.279
+. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120210/t12021039.png ; $\chi ( G ; \lambda ) = \lambda ^ { c ( G ) } ( - 1 ) ^ { v ( G ) - c ( G ) } t ( M _ { G } , 1 - \lambda , 0 ),$ ; confidence 0.067
-. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110030/l11003074.png ; $4$ ; confidence 0.244
+. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c12021052.png ; $\mathcal{L} _ { n } = \mathcal{L} ( \Lambda _ { n } | P _ { n } )$ ; confidence 0.067
-. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051880/i0518803.png ; $C$ ; confidence 0.536
+. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130010/i13001022.png ; $d _{( n )} ( A ) = \operatorname { per } ( A ) = \sum _ { \sigma \in S _ { n } } \prod _ { i = 1 } ^ { n } a _ { i \sigma ( i ) }.$ ; confidence 0.067
-. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a014060130.png ; $w$ ; confidence 0.800
+. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900203.png ; $eAe$ ; confidence 0.067
-. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010930/a0109306.png ; $v$ ; confidence 0.131
+. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120130/t12013062.png ; $y _ { 1 } , \dots , \hat{y} _ { p } , \dots ; x _ { p } - y _ { p } , x _ { 2  p} - y _ { 2  p} , \dots )$ ; confidence 0.067
-. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l05700098.png ; $=$ ; confidence 0.996
+. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130060/w13006019.png ; $\overline { \mathcal{M}_ { g , n } }$ ; confidence 0.067
-. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031380/d031380221.png ; $1$ ; confidence 0.390
+. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120140/e12014028.png ; $t_{1} , \dots , t _ { \rho  (\, f ) } \in T$ ; confidence 0.067
-. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030550/d03055021.png ; $I$ ; confidence 0.287
+. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130220/b130220112.png ; $\rho _ { \operatorname { max } } = \operatorname { sup } \{ \rho = \rho ( B ) : T\, \text { star shaped w.r.t. } B \}.$ ; confidence 0.067
-. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120060/l12006080.png ; $2$ ; confidence 0.873
+. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t12020079.png ; $\operatorname { max } _ { r = 1 , \ldots , c n } \frac { | z _ { 1 } ^ { r } + \ldots + z _ { n } ^ { r } | } { \operatorname { min } _ { k = 1 , \ldots , n } | z _ { k } ^ { r } | } \geq m.$ ; confidence 0.067
-. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032210/d03221015.png ; $y$ ; confidence 0.424
+. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a120070110.png ; $\left\{ u \in \cap _ { q \in ( n , \infty ) } W ^ { 2 m , q } ( \Omega ) : \begin{array}{l} {  L(t, \cdot , D_x) u \in C ( \overline { \Omega } ),  } \\ {B _ { j } ( t , \cdot , D _ { x } ) u=0 \ \text{ on }  \partial \Omega,} \\ {j=1, \dots , m} \end{array} \right\},\; A(t)u=L(\cdot , t , D_x)u \ \text{ for } \ u \in D(A(t)),$ ; confidence 0.067
-. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044910/g04491082.png ; $m$ ; confidence 0.101
+. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130100/w13010046.png ; $b \mapsto I ^ { \kappa_a } ( b )$ ; confidence 0.067
-. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120070/l12007020.png ; $m$ ; confidence 0.982
+. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h12012024.png ; $( X \leftrightarrows _{f} ^{\nabla } Y , \phi ).$ ; confidence 0.067
-. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130040/l13004018.png ; $A$ ; confidence 0.949
+. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f13010065.png ; $\lambda ^ { p } ( \mu ) [ \varphi ] = [ \varphi  *  \Delta _ { G } ^ { 1 / p ^ { \prime } } \check{\mu} ]$ ; confidence 0.066
-. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110480/b11048028.png ; $N$ ; confidence 0.466
+. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120070/q12007042.png ; $\mathcal{R} = \mathcal{R} _ { q ^ { 2 } } e _ { q ^ { - 2 } } ^ { ( q - q ^ { - 1 } ) E \bigotimes F },$ ; confidence 0.066
-. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060030/l06003061.png ; $k$ ; confidence 0.936
+. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130040/i13004026.png ; $( N + 1 ) ^ { - 1 } \left\| \sum _ { k = 0 } ^ { N } c _ { k } D _ { k } \right\| _ { L^{1} } \leq \operatorname { max } _ { 0 \leq k \leq N } | c  _ { k } |,$ ; confidence 0.066
-. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013830/a0138307.png ; $R$ ; confidence 0.460
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b120420140.png ; $\sum h_{ ( 1 )} v ^ { \overline{( 1 )} } \bigotimes h_{ ( 2 )} \rhd v ^ { \overline{( 2 )} } =$ ; confidence 0.066
-. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110500/a11050085.png ; $8$ ; confidence 0.694
+. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l12012087.png ; $\mathbf{Z} _ { \text { tot } S } = \tilde{\mathbf{Z}}$ ; confidence 0.066
-. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027320/c027320183.png ; $K$ ; confidence 0.915
+. https://www.encyclopediaofmath.org/legacyimages/y/y120/y120010/y12001053.png ; $r _ { t \text{l}} ^ { s k } \in  k $ ; confidence 0.066
-. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110410/a11041030.png ; $p$ ; confidence 0.327
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120020/b12002023.png ; $= 2 ^ { 5 / 4 } 3 ^ { - 3 / 4 } ( t ( 1 - t ) ) ^ { 1 / 4 } \text { a.s., } n ^ { 1 / 4 } ( \alpha _ { n } ( t ) + \beta _ { n } ( t ) ) \stackrel { d } { \rightarrow } Z [ B ( t ) ] ^ { 1 / 2 },$ ; confidence 0.066
-. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043770/g043770138.png ; $w$ ; confidence 0.933
+. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340181.png ; $\tilde { x } _ { i } = ( x _ { i } , u _ { i } )$ ; confidence 0.065
-. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016810/b01681024.png ; $E$ ; confidence 0.575
+. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130380/s13038052.png ; $K ( z , \delta ) : = \left\{ \begin{array}{l} {} & { t _ { i } = z _ { i }, }\\{ ( t _ { 1 } , t _ { 2 } ) :} &{ | z _ { j } - t _ { j } | < \delta, }\\{} & { i , j = 1,2 , i \neq j }\end{array} \right\}$ ; confidence 0.065
-. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062220/m06222089.png ; $C$ ; confidence 0.292
+. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130100/l1301006.png ; $\text{l} _ { \alpha p}  : = \{ x : \alpha \cdot x = p \}$ ; confidence 0.065
-. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016600/b0166004.png ; $1$ ; confidence 0.367
+. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130120/w13012037.png ; $T_{\text{W}d}$ ; confidence 0.065
-. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130110/m13011086.png ; $5$ ; confidence 0.374
+. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110500/a11050052.png ; $\mathcal{V}$ ; confidence 0.065
-. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110340/b11034013.png ; $e$ ; confidence 0.490
+. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120350/s12035034.png ; $\left\{ \begin{array} { r l r l } { X _ { N } = H ( N , X _ { N - 1 } , y ( N ) , u ( N ) ), }  \\ { \hat{\theta}_{N} = h ( X _ { N } ), } \end{array} \right.$ ; confidence 0.065
-. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b017470280.png ; $m$ ; confidence 0.632
+. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110170/c11017041.png ; $C ^ { \prime }$ ; confidence 0.065
-. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m13014084.png ; $D$ ; confidence 0.931
+. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006097.png ; $\operatorname{Bel} ( \cdot | | B ) =\operatorname{Bel} \bigoplus \operatorname{Bel}_B .$ ; confidence 0.065
-. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110110/m1101108.png ; $b$ ; confidence 0.322
+. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e12010038.png ; $\mathbf{t} ^ { \text{em}\cdot f }$ ; confidence 0.065
-. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010990/a01099045.png ; $g$ ; confidence 0.275
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040425.png ; $\langle \mathbf{A} , F \rangle \in \operatorname{Mod} ^ { *  \text{L}} \mathcal{D}$ ; confidence 0.065
-. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120270/m12027059.png ; $Q$ ; confidence 0.415
+. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130020/s13002015.png ; $dm \times dv$ ; confidence 0.065
-. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m13025039.png ; $7$ ; confidence 0.929
+. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c12017072.png ; $\gamma _ { i  + l ,\,  j  + k}$ ; confidence 0.064
-. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a1102803.png ; $u$ ; confidence 0.523
+. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023020.png ; $\Delta = \frac { 1 } { c_0 } \left( \begin{array} { c c c } { c_0^ { 2 } - c_ { 1 } ^ { 2 } } & { \square } & {  c  _ { 1 } c_{0} - c _ { 1 }  c _ { 2 } } \\ {  c _ { 1 } c  _ { 0 } -  c  _ { 1 } c  _ { 2 } } & { \square } & { c  _ { 0 } ^ { 2 } -  c  _ { 2 } ^ { 2 } } \end{array} \right).$ ; confidence 0.064
-. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130180/m13018031.png ; $n$ ; confidence 0.228
+. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058790/l0587906.png ; $x, v$ ; confidence 0.064
-. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130180/m13018081.png ; $1$ ; confidence 0.996
+. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120280/c12028052.png ; $\mathcal{C} \text{rs}$ ; confidence 0.064
-. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023380/c023380240.png ; $2$ ; confidence 0.871
+. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005034.png ; $\operatorname { lim } _ { t \rightarrow s } U ( t , s ) u _ { 0 } = u _ { 0 }\; \text { for } u _ { 0 } \in \overline { D ( A ( s ) ) }.$ ; confidence 0.064
-. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110700/a1107003.png ; $X$ ; confidence 0.615
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120250/b12025010.png ; $\Omega G$ ; confidence 0.064
-. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110210/c11021038.png ; $P$ ; confidence 0.881
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b120210133.png ; $i_{w _ { 1 } , w_ { 2 }}$ ; confidence 0.064
-. https://www.encyclopediaofmath.org/legacyimages/n/n130/n130040/n1300402.png ; $C$ ; confidence 0.723
+. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n06663095.png ; $E_{v_ { 1 } , \ldots , v _ { n }} (\, f ) \leq c \sum _ { i = 1 } ^ { n } \frac { M _ { i } } { v _ { i } ^ { r _ { i } } }$ ; confidence 0.064
-. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011790/a0117905.png ; $M$ ; confidence 0.443
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120320/b12032093.png ; $\frac { 1 } { p } : = \frac { \operatorname { log } a _ {  m  }} { \operatorname { log } m } = \frac { \operatorname { log } a _ { n } } { \operatorname { log } n }\; \text { for all } m , n \geq 2.$ ; confidence 0.063
-. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041060/f041060188.png ; $K$ ; confidence 0.720
+. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057020/l05702026.png ; $\mu _ { l^{n} ,\,  X}$ ; confidence 0.063
-. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035160/e03516011.png ; $u$ ; confidence 0.474
+. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f12021086.png ; $n_j$ ; confidence 0.063
-. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520390.png ; $a$ ; confidence 0.317
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b12022091.png ; $d \xi = c d v I ^ { d- 1 } d I$ ; confidence 0.063
-. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a01160050.png ; $r$ ; confidence 0.206
+. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130010/l13001044.png ; $\limsup_{\varepsilon \rightarrow 0}  \frac { 1 } { \varepsilon } \text { meas } \{ x : \rho ( x , \partial B ) < \varepsilon \} < \infty,$ ; confidence 0.063
-. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050150/i0501503.png ; $1$ ; confidence 0.169
+. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120260/a120260114.png ; $y _ { i } \in A \langle X _ { 1 } , \dots , X _ { s_i } \rangle$ ; confidence 0.063
-. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023140/c023140194.png ; $5$ ; confidence 0.831
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018065.png ; $\mathbf{\mathsf{RCA}}_n$ ; confidence 0.063
-. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011860/a01186049.png ; $8$ ; confidence 0.251
+. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d130060124.png ; $\operatorname { Bel } _ { X } ^ { \downarrow Z \bigcup Y } = \operatorname { Bel } _ { Z | Y } \bigoplus \operatorname { Bel } _ { X } ^ { \downarrow Y }.$ ; confidence 0.063
-. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650305.png ; $i$ ; confidence 0.106
+. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b13029061.png ; $[ ( a _ { 1 } , \dots , a _ { i - 1 } ) : a _ { i } ] / ( a _ { 1 } , \dots , a _ { i - 1 } ) ,\;  1 \leq i \leq d,$ ; confidence 0.063
-. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130050/o13005036.png ; $5$ ; confidence 0.481
+. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130020/f1300202.png ; $\overline { c } ^ { a } ( x )$ ; confidence 0.063
-. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010820/a01082068.png ; $5$ ; confidence 0.616
+. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340107.png ; $\tilde { x }_{ + }= ( x _ { + } , u _{+} )$ ; confidence 0.062
-. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o130060146.png ; $C$ ; confidence 0.229
+. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006034.png ; $\Xi _ { 1 } , \dots , \Xi _ { n }$ ; confidence 0.062
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120110/p12011020.png ; $4$ ; confidence 1.000
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009046.png ; $\int _ { z } ^ { \xi } \frac { 1 - a i } { s } d s = \operatorname { ln } \left( \frac { \xi } { z } \right) ^ { 1 - a i }$ ; confidence 0.062
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120110/p12011040.png ; $Y$ ; confidence 0.165
+. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023091.png ; $y ^ { ( r ) } = \{ y _ { \alpha } ^ { a } \} _ { | \alpha | = r } ^ { a = 1 , \ldots , m }$ ; confidence 0.062
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120110/p12011022.png ; $3$ ; confidence 1.000
+. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l12003083.png ; $T _ { E } R ^ { * } = \prod _ { \text { Hom}_{ \text{grp} } ( E , V ) } H ^ { * } B V,$ ; confidence 0.062
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120110/p12011016.png ; $2$ ; confidence 0.998
+. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130210/b13021038.png ; $\gamma _ { w }$ ; confidence 0.062
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120110/p12011014.png ; $5$ ; confidence 0.992
+. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130060/h13006066.png ; $= \left\{ \left( \begin{array} { l l } { a } & { b } \\ { c } & { d } \end{array} \right) \in \operatorname{SL} ( 2 , \mathbf{Z} ) : \left( \begin{array} { c c } { a } & { b } \\ { c } & { d } \end{array} \right) \equiv \left( \begin{array} { l l } { 1 } & { 0 } \\ { 0 } & { 1 } \end{array} \right) ( \operatorname { mod } n ) \right\},$ ; confidence 0.062
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120110/p1201107.png ; $Y$ ; confidence 0.275
+. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120280/c12028035.png ; $B ( \operatorname{CRS} ( \pi ( X_{ * } ) , C ) ) \rightarrow ( B C ) ^ { X }$ ; confidence 0.062
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120120/p12012020.png ; $F$ ; confidence 0.258
+. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130230/b13023019.png ; $m$ ; confidence 0.061
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120120/p12012011.png ; $C$ ; confidence 0.574
+. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o130010140.png ; $\|\,  f _ { m } \| _ { C ^{ 2 , \lambda}} \leq  c  _ { 0 } = \text{const } > 0$ ; confidence 0.061
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120120/p12012014.png ; $M$ ; confidence 0.863
+. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020280/c02028027.png ; $d \omega$ ; confidence 0.061
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120120/p12012024.png ; $1$ ; confidence 1.000
+. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120210/t12021073.png ; $h _ { M } ( x ) = t ( x , 1 )$ ; confidence 0.061
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120120/p12012047.png ; $P$ ; confidence 0.474
+. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030290/d03029025.png ; $\| g \| = \operatorname { max } _ { x \in [ a , b ] } | g ( x ) |$ ; confidence 0.061
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120120/p12012034.png ; $6$ ; confidence 0.983
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040414.png ; $\operatorname{Mod} ^ { * \text{L}}  \mathcal{D} = \mathbf{SPP} _ { \text{U} } \operatorname{Mod} ^ { * \text{L}}  \mathcal{D} $ ; confidence 0.061
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120130/p12013022.png ; $S$ ; confidence 0.864
+. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120010/c120010201.png ; $\mathbf{CP} ^ { n }$ ; confidence 0.060
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120130/p12013015.png ; $K$ ; confidence 0.214
+. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120270/s1202707.png ; $a _ { v,n}$ ; confidence 0.060
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120130/p12013021.png ; $x$ ; confidence 0.795
+. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120120/w12012024.png ; $R _ { ab } \equiv R ^ { c } \square _ { a c b }$ ; confidence 0.060
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120130/p12013045.png ; $T$ ; confidence 0.504
+. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g13002018.png ; $s\operatorname{log} \alpha$ ; confidence 0.060
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120130/p1201305.png ; $a$ ; confidence 0.345
+. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d12002011.png ; $( \text{S} ) g ( \overline { u } _ { 1 } ) = \left\{ \begin{array} { c l } { \operatorname { min } } & { c ^ { T } x + \overline { u } _{1} ^ { T } ( A _ { 1 } x - b _ { 1 } ) } \\ { \text { s.t. } } & { A _ { 2 } x \leq b _ { 2 }, } \\ { } & { x \geq 0, } \end{array} \right.$ ; confidence 0.060
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120140/p1201402.png ; $i$ ; confidence 0.365
+. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a11030037.png ; $\mathbf{C}P ^ { n }$ ; confidence 0.060
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120140/p12014038.png ; $E$ ; confidence 0.787
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120100/b12010035.png ; $= \sum _ { n = 0 } ^ { \infty } \int d x _ { s + 1} \cdots d x _ { s + n} U ^ { ( n )_t }  F _ { s + n} ( 0 , x _ { 1 } , \dots , x _ { s  + n} ),$ ; confidence 0.060
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120140/p12014053.png ; $m$ ; confidence 0.501
+. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c130070150.png ; $ud v$ ; confidence 0.060
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120140/p12014031.png ; $H$ ; confidence 0.632
+. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l12012086.png ; $K _ { \text { tot }S } = \tilde { \mathbf{Q} }$ ; confidence 0.060
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120150/p12015023.png ; $K$ ; confidence 0.781
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b12015056.png ; $d _ { n } ^ { * } \in \cap _ { \mathsf{P} \in \mathcal{P} } L _ { 2 } ( \Omega , \mathcal{A} , \mathsf{P} )$ ; confidence 0.060
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120150/p12015027.png ; $Y$ ; confidence 0.257
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040145.png ; $T , \varphi \vdash_{\text{S}5} \psi$ ; confidence 0.060
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120150/p1201505.png ; $X$ ; confidence 0.736
+. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130450/s13045018.png ; $r _ { S }$ ; confidence 0.060
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120150/p12015030.png ; $z$ ; confidence 0.800
+. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120150/l12015052.png ; $\times \alpha ( x_0 , \dots , x _ { i  - 1} , [ x _ { i } , x _ { j } ] , x _ { i + 1} , \dots , \widehat{x _ { j }} , \dots , x _ { n } ).$ ; confidence 0.060
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120150/p12015060.png ; $E$ ; confidence 0.281
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009030.png ; $p _ { 1 } (\, f , \tau ) = p ( e ^ { i a \text{ln } \tau } f , \tau ).$ ; confidence 0.060
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120150/p12015059.png ; $b$ ; confidence 0.736
+. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230176.png ; $\mathcal{E} ( L ) = \mathcal{E} ^ { a } ( L ) \omega ^ { a } \otimes \Delta$ ; confidence 0.060
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120150/p12015022.png ; $C$ ; confidence 0.284
+. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130050/g13005086.png ; $\left( \text{sign det} \left( \begin{array} { c c c c } { 1 } & { p _ { i_0 } ^ { 1 } } & { \dots } & { p _ { i_0 } ^ { k } } \\ { \vdots } & { \vdots } & { \ddots } & { \vdots } \\ { 1 } & { p _ { i_k } ^ { 1 } } & { \cdots } & { p _ { i_ k } ^ { k } } \end{array} \right) \right) _ { 1 \leq i _ { 0 } < \ldots < i _ { k } \leq n } .$ ; confidence 0.059
-. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110040/c1100403.png ; $>$ ; confidence 0.403
+. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130060/h13006048.png ; $u\cdot v = \sum _ { w } \mu ( u  \cdot v  , w ) w$ ; confidence 0.059
-. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013290/a0132905.png ; $8$ ; confidence 0.304
+. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120240/s12024056.png ; $\mathbf{z} ^ { n } = \{ z _ { i } ^ { n } , x _ { i } ^ { n + 1 } \}$ ; confidence 0.059
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p120170100.png ; $A$ ; confidence 0.984
+. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130450/s13045028.png ; $= 12 \mathsf{E} [ F_{ X} ( X ) F _ { Y } ( Y ) ] - 3.$ ; confidence 0.059
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017079.png ; $4$ ; confidence 0.624
+. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130090/t13009034.png ; $h ^ {\prime }$ ; confidence 0.059
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017028.png ; $B$ ; confidence 0.966
+. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001089.png ; $\left. \begin{array} { c c c c c } { \square } & { \square } & { C ( \mathcal{S} ) } & { \square } & { \square } \\ { \square } & { \swarrow } & { \square } & { \searrow } & { \square } \\ { \mathcal{Z} } & { \square } & { } & { \square } & { \mathcal{S}. } \\ { \square } & { \searrow } & { \square } & { \swarrow } & { \square } \\ { \square } & { \square } & { \mathcal{O} } & { \square } & { \square } \end{array} \right.$ ; confidence 0.059 ; issues with the overlapping arrow
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017055.png ; $0$ ; confidence 0.993
+. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130070/k13007026.png ; $L / N$ ; confidence 0.059
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017097.png ; $B$ ; confidence 0.904
+. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130070/p13007070.png ; $\rho _ { u } ( z ) = \limsup  _ { t \in \text{C} } ( u ( t z ) - \operatorname { log } | t z | ).$ ; confidence 0.058
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p120170114.png ; $C$ ; confidence 0.693
+. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130030/z13003078.png ; $c_{m,n}$ ; confidence 0.058
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p120170104.png ; $t$ ; confidence 0.990
+. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120080/f120080173.png ; $M_ { \Gamma \varphi}$ ; confidence 0.058
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017036.png ; $A$ ; confidence 0.830
+. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011024.png ; $a ^ { w } = \text{Op}  ( J ^ { 1 / 2 } a )$ ; confidence 0.058
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017051.png ; $k$ ; confidence 0.527
+. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w130090101.png ; $\| I _ { n } ( g ) \| _ { L ^{ 2}  ( \mu ) } = \sqrt { n ! } | \hat{g} |  _ { L ^{ 2}  ( [ 0,1 ]  ^ { n } )}$ ; confidence 0.058
-. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p120170111.png ; $V$ ; confidence 0.571
+. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120310/c12031039.png ; $e _ { n } ( H _ { d } ^ { k } ) \asymp n ^ { - k } \cdot ( \operatorname { log } n ) ^ { ( d - 1 ) / 2 }.$ ; confidence 0.058
-. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120050/q12005093.png ; $H$ ; confidence 0.794
+. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130070/e13007023.png ; $\left| \sum _ { n \in I \atop \langle h ( n ) , q \rangle = 1 } e ^ { 2 \pi i g ( n ) \overline { h  ( n )} / q } \right| \leq ( \operatorname { deg } ( g ) + \operatorname { deg } ( h ) ) \sqrt { q },$ ; confidence 0.058
-. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130040/q1300409.png ; $G$ ; confidence 0.750
+. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130100/w13010016.png ; $\kappa _ { a } = a ^ { d - 2 } 2 \pi ^ { d / 2 } / \Gamma ( ( d - 2 ) / 2 )$ ; confidence 0.058
-. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110380/b110380115.png ; $8$ ; confidence 0.338
+. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e12010042.png ; $\mathbf{t} ^ { \text{em} }$ ; confidence 0.057
-. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120080/q12008065.png ; $F$ ; confidence 0.487
+. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110190/m1101905.png ; $g_{ t }$ ; confidence 0.057
-. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120080/q12008067.png ; $I$ ; confidence 0.971
+. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w12009030.png ; $E ^{ \otimes r}$ ; confidence 0.057
-. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022800/c02280011.png ; $C$ ; confidence 0.844
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120100/b12010011.png ; $[ \cdot , \cdot ]$ ; confidence 0.057
-. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110420/c11042030.png ; $-$ ; confidence 0.606
+. https://www.encyclopediaofmath.org/legacyimages/y/y120/y120010/y120010103.png ; $\sigma_{ V , V } = \tau_{ V , V} R _ { V }$ ; confidence 0.057
-. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013420/a01342022.png ; $z$ ; confidence 0.962
+. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n06663028.png ; $\| \Delta _ { h _ { i } } ^ { 1 }\, f _ { x _ { i } } ^ { ( r _ { i } ^ { * } ) } \| _ { L _ { p } ( \Omega _ { | h _ { i }| }  ) } \leq M _ { i } | h _ { i } | ^ { \alpha _ { i } },$ ; confidence 0.057
-. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130020/s13002023.png ; $N$ ; confidence 0.372
+. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130590/s13059042.png ; $F _ { n } = \frac { H _ { n } ^ { ( - n ) } H _ { n-2 } ^ { ( - n + 3 ) } } { H _ { n-1 } ^ { ( - n + 2 ) } H _ { n - 1 } ^ { ( - n + 1 ) } },$ ; confidence 0.057
-. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004042.png ; $X$ ; confidence 0.865
+. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120050/g12005039.png ; $\psi - \psi _ { 0 } = \varepsilon A ( \xi , \tau )\, f _ { c } ( y ) e ^ { i ( \langle k _ { c } ,\, x \rangle + \mu _ { c } t ) } + \text { c.c. } + \text{h.o.t.} \ .$ ; confidence 0.057
-. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073040/p07304033.png ; $X$ ; confidence 0.942
+. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120030/m12003064.png ; $\hat { \sigma } = S _ { n } = \operatorname {MAD} _ { i = 1 } ^ { n } ( x _ { i } )$ ; confidence 0.057
-. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130110/s13011058.png ; $Q$ ; confidence 0.556
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040591.png ; $\mathcal{S} _ { P } = \langle P , \operatorname { Mod } _ { \mathcal{S} _ { P } } , \operatorname { mng } _ { \mathcal{S} _ { P } } , \models _{ \mathcal{S} _ { P }} \rangle$ ; confidence 0.056
-. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110390/b1103908.png ; $0$ ; confidence 0.593
+. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006094.png ; $\operatorname {Bel} ( \cdot | | B )$ ; confidence 0.056
-. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015730/b01573021.png ; $1$ ; confidence 0.682
+. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t12020057.png ; $\operatorname { inf } _ { z _ { j } , w _ { j } } \operatorname { max } _ { k \in S _ { 1 } , \atop m \in S _ { 2 } } \frac { | h ( m , k ) | } { M _ { d ^ { \prime } }  ( k ) M _ { d^ { \prime \prime } }  ( m ) }$ ; confidence 0.056
-. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130360/s13036017.png ; $1$ ; confidence 0.752
+. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180394.png ; $\operatorname {contr} ( \tilde { \nabla } ^ { q _ { 1 } } R ( \tilde{g} ) \otimes \ldots \otimes \tilde { \nabla } ^ { q _ { m } } R ( \tilde{g} ) )$ ; confidence 0.056
-. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120150/s12015080.png ; $G$ ; confidence 0.337
+. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023058.png ; $G = \left( \begin{array} { c c c c c c c } { x _ { 0 } } & { \square \ldots \square} & { x _ { p - 1 } } & { y _ { 0 } } & { \square \ldots  \square } & { y _ { q - 1 } } \end{array} \right),$ ; confidence 0.056
-. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780539.png ; $p$ ; confidence 0.905
+. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120200/d12020031.png ; $S _ { M } ( i t )$ ; confidence 0.056
-. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120260/s12026034.png ; $0$ ; confidence 0.438
+. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t130050154.png ; $\sigma _ { \text{Te} } ( A , \mathcal{H} ) = \sigma _ {  \text{T} } ( L _ { a } , \mathcal{Q} ( \mathcal{H} ) )$ ; confidence 0.056
-. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016810/b01681032.png ; $=$ ; confidence 0.262
+. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120130/l12013031.png ; $x \in \tilde { \mathbf{Q} } ^ { n }$ ; confidence 0.055
-. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032074.png ; $4$ ; confidence 0.779
+. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009045.png ; $=e ^{-\frac { m } { 1 + a ^ { 2 } } \int _ { z } ^ { \xi } \frac { p _ { 0 } ( s ) - a i } { s } d s}  \times \times \left\{ \int _ { z } ^ { \xi } \frac { p _ { 1 } ( s ) - p _ { 0 } ( s ) } { s } e^{ \frac { m } { 1 + a ^ { 2 } } \int _ { z } ^ { s } \frac { p _ { 0 } ( t ) - a i } { t } d t  } d s - \frac { 1 + a ^ { 2 } } { m } \right\}.$ ; confidence 0.055
-. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340123.png ; $2$ ; confidence 0.628
+. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130010/l13001068.png ; $\int _ { \mathbf{T} ^ { 2 } } | \hat { \chi }_{ NB} ( x ) | d x$ ; confidence 0.055
-. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s12034074.png ; $P$ ; confidence 0.662
+. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130070/f13007036.png ; $= \left\langle x _ { 1 } , \ldots , x _ { m } | x ^ { l_i } x ^ { k _ { i  + 1} } = x ^ { l _ { i + 2 } } ; \text { indices } ( \operatorname { mod } m ) \right\rangle.$ ; confidence 0.055
-. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340115.png ; $X$ ; confidence 0.213
+. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110160/f110160129.png ; $\& \{ \exists x _ { n  + 1} \psi _ { \mathfrak{A} } ^ { l } \overline { a } a : a \in A \}$ ; confidence 0.055
-. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087360/s087360318.png ; $5$ ; confidence 0.979
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240244.png ; $ \operatorname { MS } _{\mathcal{H}}=\operatorname {SS} _{\mathcal{H}} / q$ ; confidence 0.055
-. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s13064058.png ; $k$ ; confidence 0.755
+. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j130040127.png ; $\# \mathcal{P}$ ; confidence 0.055
-. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120020/t12002028.png ; $T$ ; confidence 0.575
+. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g13006084.png ; $\text{l} _ { m + 1 } =  j $ ; confidence 0.055
-. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t12005024.png ; $x$ ; confidence 0.589
+. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040309.png ; $\epsilon_{ 0,0} ( x , y , z , w ) \approx \epsilon_{ 0,1} ( x , y , z , w ) , \ldots , \epsilon _ { m - 1,0 } ( x , y , z , w ) \approx \epsilon _ { m - 1  , 1} ( x , y , z , w )$ ; confidence 0.055