User:Maximilian Janisch/latexlist/latex/NoNroff/75

List

1.  ; $( 2 \pi ) ^ { - 2 n } \int _ { \mathbf{R} ^ { 2 n } } e ^ { i q \mathca{X} } e ^ { i p \mathca{D} } \hat { \sigma } ( p , q ) d p d q,$ ; confidence 0.122

2.  ; $\Psi _ { V , W }$ ; confidence 0.122

3.  ; $( \nabla ^ { 2 } + k ^ { 2_0 } + k ^ { 2_0 }v ( x ) ) u ( x , y , k _ { 0 } ) = - \delta ( x - y ) \text { in } \mathbf{R} ^ { 3 },$ ; confidence 0.122

4.  ; $= ( ( F ( . ) , h ( . , x ) ) _ { \mathca{H} } , ( h ( \text{..} , y ) , h ( \text{..} , x ) ) _ { mathca{H} } ) _ { H } =$ ; confidence 0.122

5.  ; $( H , ( . | . ) )$ ; confidence 0.122

6.  ; $\mathfrak{h} _ { R } ^ { * }$ ; confidence 0.122

7.  ; $r _ { i } s _ { j } \in C _ { ( i + j ) \operatorname { mod } 2}$ ; confidence 0.122

8.  ; $\langle T [ \phi ] , [ \psi ] \rangle _ { L _ { \text{C} } ^ { p } ( G ) , L _ { \text{C} } ^ { p^{\prime} } ( G ) } \neq 0.$ ; confidence 0.122

9.  ; $\| G \| _ { \infty } = \operatorname { sup } _ { \| x \| _ { 2 } \leq 1 } \| y \| _ { 2 }.$ ; confidence 0.122

10.  ; $d \hat { \Omega } _ { n } = P _ { + } ^ { n / N } \left( \frac { d w } { w } \right)$ ; confidence 0.122

11.  ; $c_L$ ; confidence 0.121

12.  ; $\left\{ \begin{array} { l } { \Delta v = 0 } & {\text{in} \mathbf{C}^{n} \ \overline{D}, }\\ { v = \phi} & { \text { on } \partial D, } \\ { | v | \leq \frac { c } { | z | ^ { 2 n - 2 } }. } \end{array} \right.$ ; confidence 0.121

13.  ; $r_1 , \ldots , r_n$ ; confidence 0.121

14.  ; $ c _ { 1 } / a _ { 1 } \geq \ldots \geq \c _ { n } / a _ { n }$ ; confidence 0.121

15.  ; $| i \rangle$ ; confidence 0.121

16.  ; $\mathcal{K} =\mathcal{ I} _ { 1 } \lhd \ldots \lhd \mathcal{ I}_ { r } \lhd \mathcal{T} ( S )$ ; confidence 0.121

17.  ; $\| p _ {n } ^ { ( \alpha - 1 , \beta - 1 ) } \| _ { \mu _ { 0 } } = o( n )$ ; confidence 0.121

18.  ; $u_2$ ; confidence 0.121

19.  ; $* : \mathcal{G} \text{l} _ { Q } ( d ) \times \mathcal{A} _ { Q } ( d ) \rightarrow \mathcal{A} _ { Q } ( d )$ ; confidence 0.120

20.  ; $\tilde { a } ( e ^ { i \theta } ) = a ( e ^ { - i \theta } )$ ; confidence 0.120

21.  ; $\mathbf{C} ^ { n } \subset \mathbf{P} ^ { n }$ ; confidence 0.120

22.  ; $p _ { i } ( z ) z ^ { \lambda } = \sum _ { n = 0 } ^ { N } a ^ { n _ { i } } z ^ { n } ( \frac { \partial } { \partial z } ) ^ { n } z ^ { \lambda }.$ ; confidence 0.120

23.  ; $b ( . , . )$ ; confidence 0.120

24.  ; $l w \equiv 0$ ; confidence 0.120

25.  ; $= \operatorname { lim } _ { n \rightarrow 0 } \left( \sum _ { j_n = 1 } ^ { J _ { n } } K ( x , y _ { j _n } ) c _ { j _n } , \sum _ { m_n = 1 } ^ { J _ { n } } K ( x , y _ { m_n } ) c _ { m_n } \right) _ { 1 } =$ ; confidence 0.120

26.  ; $\Updownarrow a x - x c = 0 \text { and } b x - x d = 0,$ ; confidence 0.120

27.  ; $e _ { 1 } , \dots , e _ { k }$ ; confidence 0.120

28.  ; $\mathcal{H} _ { uc } ^ { \infty } ( B _ { E } ) \equiv$ ; confidence 0.120

29.  ; $t ^ { * } : H ^ { n } ( S ^ { n } ) \rightarrow H ^ { n } ( \Gamma _ { S ^ { n } } )$ ; confidence 0.119

30.  ; $\lfloor n / 2 \rfloor$ ; confidence 0.119

31.  ; $\left( \begin{array} { c } { 0 } \\ { G _ { i + 1 } } \end{array} \right) = \left\{ G _ { i } + Z _ { i } G _ { i } \frac { J g _ { i } ^ { * } g _ { i } } { g _ { j } J g _ { i } ^ { * } } \right\} \Theta _ { i }$ ; confidence 0.119

32.  ; $UM$ ; confidence 0.119

33.  ; $\hat { \tau }_1 = \nabla \tau , \hat { \tau } _ { n } = \sum _ { i + j = n } \phi ( \hat { \tau } _ { i } \bigcup \hat { \tau } _ { j } ),$ ; confidence 0.119

34.  ; $\operatorname { Hom}_{K_\infty}( \Lambda ^ { \bullet } ( \mathfrak { g } / \mathfrak { k } ) , \mathcal{A} ( \Gamma \backslash G ( \mathbf{R} ) ) \bigotimes \mathcal{M} _ { \text{C} } ) \overset{\sim}{\rightarrow}$ ; confidence 0.119

35.  ; $\\mathbf{Me} ^ { * \text{L} _{\mathfrak { N }}}_{\mathcal{S}_P }$ ; confidence 0.119

36.  ; $\Psi ( x ^ { n } \bigotimes x ^ { m } ) = q ^ { n m } x ^ { m } \bigotimes x ^ { n }$ ; confidence 0.119

37.  ; $\mathcal{H} = \mathcal{H} ^ { \text{im} } = \mathcal{H} ^ { \text{out} }$ ; confidence 0.119

38.  ; $\hat { G }_{\text{inn}}$ ; confidence 0.119

39.  ; $x ( t + ) = x ( t ) \text { for all } \ 0 \leq t < 1 , x ( t - ) = \operatorname { lim } _ { s \uparrow t } x ( s ) \text { exists for all } 0 < t \leq 1.$ ; confidence 0.118

40.  ; $E ( x _ { 0 } , y _ { 0 } ) , \ldots , E ( x _ { n } - 1 , y _ { n } - 1 ) \vdash_ { D }$ ; confidence 0.118

41.  ; $( \mathcal{A} ^ { * } f ) _ { n } ( X ) = \sum _ { i = 1 } ^ { n } f _ { n - 1 } ( x _ { 1 } , \dots , x _ { i - 1} , x _ { i + 1} , \dots , x _ { n } ).$ ; confidence 0.118

42.  ; $P _ { R } ^ { \# } ( n ) = \frac { 1 } { n } q ^ { n } + O \left( \frac { 1 } { n } q ^ { n / 2 } \right) \text { as } n \rightarrow \infty,$ ; confidence 0.118

43.  ; $F ( \mathcal{H} ) = \mathbf{C} \oplus \oplus _ { n = 1 } ^ { \infty } \mathcal{H} ^ { \otimes n }$ ; confidence 0.118

44.  ; $L = L _ { \overline{0} } \oplus L _ { overline{1} }$ ; confidence 0.118

45.  ; $\| h_n \|$ ; confidence 0.118

46.  ; $q _ { \Lambda }$ ; confidence 0.118

47.  ; $\sum _ { \mathbf{k} } c_{ \mathbf{k} } e ^ { \mathbf{kx} }$ ; confidence 0.118

48.  ; $O ( e ^ { - \varepsilon | \operatorname { Re } z | - H _ { L } ( \operatorname { Re } z )} )$ ; confidence 0.118

49.  ; $u_{ -} \sharp$ ; confidence 0.118

50.  ; $\operatorname { St } _ { G } ( n ) = \cap _ { | u | = n } \operatorname { St } _ { G } ( u )$ ; confidence 0.118

51.  ; $R _ { n } \in \mathcal{B} ( E _ { n } , E _ { n - 1 } )$ ; confidence 0.118

52.  ; $\left\{ \begin{array}{l}{ ( T - z I ) x = K J \varphi _ { - }, }\\{ \varphi _ { + } = \varphi _ { - } - 2 i K ^ { * } x, }\end{array} \right.$ ; confidence 0.118

53.  ; $H _ { 0 } ^ { ( m ) } = 1 , H _ { k } ^ { ( m ) } = \operatorname { det } ( c_{ m + i + j} ) _ { i , j = 0 } ^ { k - 1 }$ ; confidence 0.117

54.  ; $\sigma _ { T } ( A , \mathcal{X} ) = \left\{ ( a _ {ii} ^ { ( 1 ) } , \ldots , a _ { ii } ^ { ( n ) } ) : 1 \leq i \leq \operatorname { dim } \mathcal{X} \right\}.$ ; confidence 0.117

55.  ; $\int _ { 0 } ^ { \infty } \frac { f * u _ { t } * v _ { t } } { t } d t = c _ { u , v } f,$ ; confidence 0.117

56.  ; $\Gamma ( L ^ { 2 } ( \mathbf{R} ) ) = \bigoplus _ { n = 0 } ^ { \infty } \sqrt { n !} L ^ { 2 } ( \mathbf{R} ) \hat { \bigotimes } ^ { n } \simeq \bigoplus _ { n = 0 } ^ { \infty } \sqrt { n !} \overhat{ L ^ { 2 } ( \mathbf{R} ^ { n } ) }.$ ; confidence 0.117

57.  ; $\operatorname { Mod } ^ { * S} \mathcal{D}= \operatorname { Mod } ^ { * \text{L}} \mathcal{ D }$ ; confidence 0.117

58.  ; $E \subseteq \operatorname { Epi } ( \mathfrak { A } )$ ; confidence 0.117

59.  ; $\| x \circ y \| \leq \| x \| \| y \|$ ; confidence 0.117

60.  ; $G _ { p q } ^ { mn }$ ; confidence 0.117

61.  ; $k = q ^ { d - 1 }$ ; confidence 0.117

62.  ; $I _ { q } \neq 0$ ; confidence 0.117

63.  ; $f ( z ) = e ^ { - ( G ( z , a ) + i \tilde{G} ( z , a ) ) }$ ; confidence 0.117

64.  ; $S _ { M } ( s ) = \sum _ { m \in M } a _ { m } e ^ { - \lambda_{m} s },$ ; confidence 0.116

65.  ; $u _ { n } \in \mathfrak{F}$ ; confidence 0.116

66.  ; $\langle \mathbf{A} / \tilde{\Omega}_{\mathcal{D}} F , F / \tilde{\Omega}_{\mathcal{D}} \rangle$ ; confidence 0.116

67.  ; $N ^ { 1 / p }$ ; confidence 0.116

68.  ; $[ X ] \mapsto \chi _ { R } ( [ X ] ) = \sum _ { m = 0 } ^ { \infty } ( - 1 ) ^ { m } \operatorname { dim } _ { K } \operatorname { Ext } _ { R } ^ { m } ( X , X )$ ; confidence 0.116

69.  ; $w ^ { q } = w _ { 1 } ^ { q _ { 1 } } \ldots w _ { n } ^ { q _ { n } }$ ; confidence 0.116

70.  ; p_{ m , 1}$ ; confidence 0.116 71. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180280.png ; $\nabla ( a \Phi ) = d a \bigotimes \Phi + a \nabla \Phi \in \bigotimes \square ^ { q + 1 } \mathcal{E}$ ; confidence 0.116 72. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012032.png ; $\left\{ \begin{array} { l } { \operatorname{max} \ \ \sum _ { j = i } ^ { N } \beta _ { j } v _ { j } } \\ { \text { subject to } \ \ \sum _ { j = 1 } ^ { n } a _ { i j } v _ { j } \leq \mu _ { i } } \\ { v _ { j } \geq 0. } \end{array} \right.$ ; confidence 0.116 73. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120130/k1201309.png ; $\xi _ { 1 } ^ { i } , \ldots , \xi _ { 2 ^ { i - 1 } ( n + 1 ) } ^ { i } $ ; confidence 0.116 74. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b12015077.png ; $d_{s}$ ; confidence 0.116 75. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130140/s13014037.png ; $\lambda = \left. \begin{array} { l l l } { \bullet } & { \bullet } & { \bullet } & { \bullet } \\ { \square } & { \bullet } & { \bullet } & { \square } \\ { \square } & { \square } & { \bullet } & { \square } \end{array} \right.$ ; confidence 0.116 76. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130590/s13059034.png ; $Q _ { 2 n + 1 } ( z ) = \frac { - 1 } { H _ { 2 n + 1 } ^ { ( - 2 n ) } } \left| \begin{array} { c c c c } { c_{ - 2 n - 1} } & { \cdots } & { c_{ - 1} } & { z ^ { - n - 1 } } \\ { \vdots } & { \square } & { \vdots } & { \vdots } \\ { c_{ - 1} } & { \cdots } & { c _ { 2 n - 1 } } & { z ^ { n - 1 } } \\ { c_0 } & { \cdots } & { c _ { 2 n } } & { z ^ { n } e n d } \end{array} \right|,$ ; confidence 0.116 77. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130100/z13010086.png ; $\forall x \forall v _ { 1 } \ldots \forall v _ { n } \exists y \forall v ( v \in y \leftrightarrow ( v \in x \wedge \varphi ) ).$ ; confidence 0.115 78. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120270/b12027070.png ; $a _ { n } = \sum _ { 0 } ^ { n } b _ { n - j} u _ { j } , n \geq 0,$ ; confidence 0.115 79. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040057.png ; $\mathfrak { g } _ { \alpha }$ ; confidence 0.115 80. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009052.png ; $=\frac { m } { 1 + a ^ { 2 } } \left\{ \int _ { 0 } ^ { z } \frac { p _ { 1 } ( s ) - p _ { 0 } ( s ) } { s ^ { 1 - \frac { m } { 1 + a i } } } e ^ { \frac { m } { 1 + a ^ { 2 } } \int _ { 0 } ^ { s } \frac { p _ { 0 } ( t ) - 1 } { t } d t } d s + + \frac { 1 + a ^ { 2 } } { m } z ^ { \frac { m } { 1 + a i } } e ^ { \frac { m } { 1 + a ^ { 2 } } \int _ { 0 } ^ { z } \frac { p _ { 0 } ( t ) - 1 } { t } d t} \right}$ ; confidence 0.115 81. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016034.png ; $u = \left\{ \begin{array} { c c } { \overline { u } } & { \text { for } \frac { i T } { k } \leq t < ( i + a ) \frac { T } { k }; } \\ { } & { 0 \leq i \leq k - 1, } \\ { 0 } & { \text { for } ( i + a ) \frac { T } { k } \leq t \leq ( i + 1 ) \frac { T } { k }, } \\ { } & { \text { and for } \ t = T ; 0 \leq i \leq k - 1. } \end{array} \right.$ ; confidence 0.115 82. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t1301307.png ; $\operatorname{p.dim} _ { \Lambda } T$ ; confidence 0.114 83. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130090/b13009039.png ; $u _ { t } + a ( t ) u _ { x } + b ( t ) u ^ { p } u _ { x } - u _ { xxt } = 0$ ; confidence 0.114 84. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120040/b120040184.png ; $\Sigma _ { n = 1 } ^ { \infty } \| T _ { X _ { n } } \| _ { X } ^ { r } < \infty$ ; confidence 0.114 85. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g13006083.png ; $\overset{\rightharpoonup}{ P _ { i } P _ { \text{l}_1 } } , \overset{\rightharpoonup}{ P _ { \text{l}_1 } P _ { \text{l}_2 } } , \dots , \overset{\rightharpoonup}{ P _ { \text{l}_m } P _ { \text{l}_{m+1} } },$ ; confidence 0.114 86. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n06663030.png ; $\| \Delta _ { h _ { i } } ^ { 2 } f _ { x _ { i } } ^ { ( r _ { i } ^ { * } ) } \| _ { L _ { p } ( \Omega _ { 2 |h _ { i }| } | ) } \leq M _ { i } | h _ { i } |,$ ; confidence 0.114 87. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120030/c12003023.png ; $f \in \operatorname { Car } | _ { \text{loc} } ( I \times G )$ ; confidence 0.114 88. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a130180124.png ; $= \{ \langle b _ { 0 } , \dots , b _ { i - 1} , a , b _ { 2 } + 1 , \dots , b _ { n - 1 } \rangle : a \in U$ ; confidence 0.114 89. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130020/i13002013.png ; $\overline { A } _ { 1 } , \dots , \overline { A } _ { N }$ ; confidence 0.114 90. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130120/p13012025.png ; $103$ ; confidence 0.114 91. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120150/m1201506.png ; $x _ { 11 } ( . ) , \ldots , x _ { p x } ( . )$ ; confidence 0.113 92. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r130070106.png ; $= \sum _ { j n , m _ { n } } ^ { J _ { n } } K ( y _ { m _ { n } } , y _ { j _ { n } } ) c _ { j _ { n } } \overline { c _ { m } n _ { n } } =$ ; confidence 0.113 93. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120110/n12011078.png ; $x \rightarrow \underline { f } _ { Q } ( x )$ ; confidence 0.113 94. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130070/w13007046.png ; $\operatorname { ch } V ( \lambda ) = \frac { \sum _ { w \in W } ( - 1 ) ^ { l ( w ) } e ^ { w ( \lambda + \rho ) - \rho } } { \prod _ { \alpha \in \Delta ^ { - } ( 1 - e ^ { \alpha } ) ^ { d i m g _ { \alpha } } } }$ ; confidence 0.113 95. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032023.png ; $B _ { j } ( z ) = \sum _ { l = 0 } ^ { \rho _ { s + 1 } } R _ { l + 1 } ^ { ( s + 1 ) } ( z ) \lambda _ { l j } ^ { ( s + 1 ) }$ ; confidence 0.113 96. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059120/l0591204.png ; $SL _ { Y } ( K )$ ; confidence 0.113 97. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a130180111.png ; $\exists v _ { i } \varphi ( v _ { 0 } , \dots , v _ { m } - 1 )$ ; confidence 0.113 98. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e12012049.png ; $\hat { r } _ { z }$ ; confidence 0.113 99. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120070/c12007013.png ; $\{ M ( \alpha ) \text { pr } _ { \text { dom } \alpha } - \text { pr codom } \alpha \} \alpha \quad \text { for } n = 0$ ; confidence 0.112 100. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t130140104.png ; $q R ( x ) = \sum _ { j \in Q _ { 0 } } x _ { j } ^ { 2 } - \sum _ { \langle \beta : i \rightarrow j ) \in Q _ { 1 } } x _ { i } x _ { j } + \sum _ { \langle \beta : i \rightarrow j ) \in Q _ { 1 } } x _ { , j } x _ { i } x _ { j }$ ; confidence 0.112 101. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120200/a12020086.png ; $X + J$ ; confidence 0.112 102. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040520.png ; $d ^ { * } L D$ ; confidence 0.112 103. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130050/v13005093.png ; $Y ( L ( - 1 ) v , x ) = ( d / d x ) Y ( v , x )$ ; confidence 0.112 104. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008010.png ; $\sum _ { i , j = 1 } ^ { m } \alpha _ { i , j } ( x ) \xi _ { i } \xi _ { j } \geq \delta | \xi | ^ { 2 }$ ; confidence 0.112 105. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120310/c12031040.png ; $e _ { N } ( H _ { i j } ^ { k } ) \leq c _ { k , d } , \delta , n ^ { - k + \delta } , \forall n$ ; confidence 0.112 106. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120300/b1203006.png ; $\psi ( y + 2 \pi p ) = e ^ { 2 \pi i \eta , y } \psi ( y ) \text { for a.e.y } \in R ^ { N }$ ; confidence 0.112 107. https://www.encyclopediaofmath.org/legacyimages/o/o110/o110010/o11001036.png ; $\alpha _ { 1 } , \dots , a _ { N } \in G$ ; confidence 0.112 108. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d12002053.png ; $( LD ) v ^ { * } = \left\{ \begin{array} { c l } { \operatorname { max } } & { q } \\ { s.t. } & { q \leq c ^ { T } x ^ { ( k ) } + u _ { 1 } ^ { T } ( A _ { 1 } x ^ { ( k ) } - b _ { 1 } ) } \\ { } & { \forall k \in P } \\ { 0 \leq } & { c ^ { T } x ^ { ( k ) } + u _ { 1 } ^ { T } A _ { 1 } x ^ { ( k ) } , \forall k \in R } \\ { u _ { 1 } \geq 0 } \end{array} \right.$ ; confidence 0.111 109. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130020/k13002068.png ; $x = \mathfrak { X }$ ; confidence 0.111 110. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040490/f04049030.png ; $F _ { m x } = \frac { \chi _ { m } ^ { 2 } / m } { \chi _ { x } ^ { 2 } / n }$ ; confidence 0.111 111. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130080/o1300804.png ; $q _ { n } ( x )$ ; confidence 0.111 112. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130040/b13004040.png ; $( \cap _ { x = 0 } ^ { \infty } W _ { x } ) \cap E \neq \emptyset$ ; confidence 0.111 113. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130010/e13001019.png ; $( d H ) ^ { c _ { X } d ^ { n } }$ ; confidence 0.111 114. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b12042027.png ; $\bigotimes n _ { W } = \Phi _ { V , 1 , W } \circ ( l _ { V } \otimes \text { id } )$ ; confidence 0.111 115. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c12021092.png ; $\Lambda _ { \eta } - h ^ { \prime } T _ { N } \rightarrow - h ^ { \prime } \Gamma h / 2$ ; confidence 0.111 116. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840343.png ; $H ^ { \gamma }$ ; confidence 0.111 117. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120200/a12020042.png ; $P ( t ) = \prod _ { m = 1 } ^ { n } ( t - t _ { m } ) ^ { \gamma _ { m } } ; \quad q _ { i } ( t ) = \{ \frac { ( t - t _ { i } ) ^ { \gamma _ { i } } } { P ( t ) } \} _ { \langle r _ { i } - 1 ; t _ { i } \rangle }$ ; confidence 0.111 118. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m1301405.png ; $a \sigma _ { y }$ ; confidence 0.110 119. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o130010133.png ; $[ 2 , \lambda ]$ ; confidence 0.110 120. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130100/w13010015.png ; $E | W ^ { \alpha } ( t ) | \sim \left\{ \begin{array} { l l } { \sqrt { \frac { 8 t } { \pi } } , } & { d = 1 } \\ { \frac { 2 \pi t } { \operatorname { log } t } , } & { d = 2 } \\ { \kappa _ { \alpha } t , } & { d \geq 3 } \end{array} \right.$ ; confidence 0.110 121. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120010/c12001040.png ; $P ^ { Y }$ ; confidence 0.110 122. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030210/d03021016.png ; $2$ ; confidence 0.110 123. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130060/w13006036.png ; $\omega _ { WP } = \Sigma _ { j } d l _ { j } / d \tau _ { j }$ ; confidence 0.110 124. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120070/q120070140.png ; $\langle . , . \rangle : A \otimes H \rightarrow \dot { k }$ ; confidence 0.110 125. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060040/l06004018.png ; $g _ { x } , 1 ( z ) = g _ { x } ( z )$ ; confidence 0.110 126. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120360/b12036028.png ; $T R F$ ; confidence 0.109 127. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e13003048.png ; $H ^ { \bullet } ( \partial ( \Gamma \backslash X ) , \tilde { M } ) = H ^ { 0 } \oplus H ^ { 1 } \rightleftarrows Q ^ { k } \oplus Q ^ { h }$ ; confidence 0.109 128. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120070/t12007046.png ; $J ( z ) = \sum _ { n } \operatorname { Tr } ( e | v _ { n } ) q ^ { n }$ ; confidence 0.109 129. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130050/o13005094.png ; $u \in \tilde { F }$ ; confidence 0.109 130. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120210/t1202106.png ; $t ( M ; x , y ) = \sum _ { S \subseteq E } ( x - 1 ) ^ { r ( M ) - \gamma ( S ) } ( y - 1 ) ^ { | S | } - r ( S )$ ; confidence 0.109 131. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130280/f13028035.png ; $I _ { x } T _ { x } ( \hat { G } )$ ; confidence 0.109 132. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c13007066.png ; $Y ^ { é } = X ^ { \phi }$ ; confidence 0.109 133. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b12021082.png ; $1$ ; confidence 0.109 134. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b13030034.png ; $3 ^ { C _ { 1 } ^ { 1 } + C _ { m } ^ { 2 } + C _ { m } ^ { 3 } }$ ; confidence 0.109 135. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120100/l120100152.png ; $\operatorname { ln } y , 1$ ; confidence 0.109 136. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130110/s1301105.png ; $Z ^ { + } [ x _ { 1 } , \ldots , x _ { n } ] ^ { S _ { n } }$ ; confidence 0.109 137. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120040/k12004014.png ; $F _ { L _ { D } } ( a , x ) = \alpha ^ { - T _ { \text { ait } } ( L _ { D } ) } \Lambda _ { D } ( a , x )$ ; confidence 0.108 138. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011047.png ; $\underline { \Xi } = ( \overline { x } , \hat { \xi } )$ ; confidence 0.108 139. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120130/d12013038.png ; $w _ { 2 ^ { n } - 2 ^ { i } } ( \rho ) = c _ { n , i }$ ; confidence 0.108 140. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a120160161.png ; $y _ { i t } = \alpha y _ { i , t - 1 } + \sum _ { j = 1 } ^ { N } k _ { j t } t _ { i j } x _ { i t }$ ; confidence 0.108 141. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120020/s12002010.png ; $L _ { \aleph } \alpha ( x ; t ) = \partial _ { x } \alpha ( g ( x ; t ) * f ( x ) )$ ; confidence 0.108 142. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120060/w12006067.png ; $\pi _ { B } \otimes A$ ; confidence 0.107 143. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230189.png ; $S ( \phi ) = \sum _ { | \alpha | = 0 } ^ { k - 1 } S _ { \alpha i } ^ { \alpha } ( \phi ) \omega _ { \alpha } ^ { \alpha } \wedge ( \frac { \partial } { \partial x _ { i } } - ( \alpha x _ { 1 } \wedge \ldots \wedge d x _ { n } ) )$ ; confidence 0.107 144. https://www.encyclopediaofmath.org/legacyimages/n/n130/n130060/n13006047.png ; $\mu _ { k + 1 } \leq \frac { 4 \pi ^ { 2 } k ^ { 2 / N } } { ( C _ { N } | \Omega | ) ^ { 2 / N } } , k = 0,1$ ; confidence 0.107 145. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130030/j13003039.png ; $\| \alpha \square b ^ { * } \| \leq \| \alpha \| _ { \| } b \|$ ; confidence 0.107 146. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f120230133.png ; $+ \frac { ( - 1 ) ^ { k ! } } { ( k - 1 ) ! ! } \sum _ { \sigma } \operatorname { sign } \sigma \times \times K ( [ L ( X _ { \sigma 1 } , \ldots , X _ { \sigma 1 } ) , X _ { \sigma ( 1 + 1 ) } ] , X _ { \sigma ( 1 + 2 ) } , \ldots ) +$ ; confidence 0.107 147. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130010/j13001015.png ; $Q _ { D } ( v _ { 1 } v _ { 2 } , z ) = \sum _ { f \in b 1 ( D ) }$ ; confidence 0.107 148. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130260/a1302603.png ; $\alpha _ { N } = \sum _ { k = 0 } ^ { n } \left( \begin{array} { c } { n + k } \\ { k } \end{array} \right) ^ { 2 } \left( \begin{array} { c } { n } \\ { k } \end{array} \right) ^ { 2 } , \quad b _ { n } = \sum _ { k = 0 } ^ { n } \left( \begin{array} { c } { n + k } \\ { k } \end{array} \right) \left( \begin{array} { c } { n } \\ { k } \end{array} \right) ^ { 2 }$ ; confidence 0.107 149. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120160/b12016045.png ; $c _ { i k }$ ; confidence 0.107 150. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180399.png ; $\tilde { \nabla } ^ { \not Y } R ( \mathfrak { g } )$ ; confidence 0.107 151. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004045.png ; $\Gamma \operatorname { tg } \varphi$ ; confidence 0.107 152. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130210/c13021020.png ; $w _ { 1 }$ ; confidence 0.107 153. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130050/o13005068.png ; $5 \oplus \circlearrowleft$ ; confidence 0.107 154. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b12022088.png ; $\underline { \Xi } = R ^ { N } \times [ 0 , \infty [$ ; confidence 0.106 155. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040548.png ; $v$ ; confidence 0.106 156. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650305.png ; $i$ ; confidence 0.106 157. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120120/p12012017.png ; $R _ { x b } \equiv R _ { a c b } ^ { c }$ ; confidence 0.106 158. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120120/m12012067.png ; $Q _ { s } ( R ) = \{ q \in Q ( R ) : q B \subseteq \text { Rfor some0 } \neq B < R \}$ ; confidence 0.106 159. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120160/s12016027.png ; $H ( q , d ) = \cup _ { q - d + 1 \leq | p | \leq q } ( X ^ { j _ { 1 } } \times \ldots \times X ^ { j _ { d } } )$ ; confidence 0.106 160. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a11022079.png ; $M _ { t }$ ; confidence 0.106 161. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130060/l13006067.png ; $p _ { i + 1 } = a _ { i - 1 } p _ { i } + p _ { i - 1 } , i = 1,2 ,$ ; confidence 0.106 162. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067110/n06711024.png ; $z ^ { 18 }$ ; confidence 0.106 163. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c12017016.png ; $C ^ { \prime }$ ; confidence 0.105 164. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130020/f1300201.png ; $c ^ { i t } ( x )$ ; confidence 0.105 165. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130080/l1300801.png ; $P _ { 1 } , \ldots , P _ { m } \in Z [ x _ { 1 } , \ldots , x _ { N } ]$ ; confidence 0.105 166. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g130060127.png ; $\sigma ( \Omega ( A ) ) \subseteq \cup _ { i , j = 1 \atop j \neq j } ^ { n } K _ { i j } ( A ) \subseteq \cup _ { i = 1 } ^ { n } G _ { i } ( A )$ ; confidence 0.105 167. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090249.png ; $g = \sum _ { a \in \Phi ^ { - } } \oplus _ { g _ { a } } \oplus D _ { \gamma \in \Phi ^ { + } } \oplus _ { g _ { \gamma } }$ ; confidence 0.105 168. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520446.png ; $| f ( V ) | \leq \mathfrak { c } _ { 1 } | V | ^ { \gamma } \quad \text { and } \quad | \sum _ { j = 1 } ^ { n } \frac { \partial f } { \partial v _ { j } } \tilde { \phi } ; | > c _ { 2 } | V | ^ { \gamma + m }$ ; confidence 0.105 169. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006038.png ; $( x _ { 1 } , \dots , x _ { n } )$ ; confidence 0.105 170. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130160/r13016039.png ; $C ^ { N }$ ; confidence 0.104 171. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095400/u09540031.png ; $G = SL _ { n } ( K )$ ; confidence 0.104 172. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015014.png ; $Z _ { C }$ ; confidence 0.104 173. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057020/l05702022.png ; $Z _ { l } ( m ) _ { X } = ( \mu _ { l ^ { 2 } , X } ^ { \otimes m } ) _ { n \in N }$ ; confidence 0.104 174. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r130070160.png ; $\| f \| = ( f , f ) \frac { 1 / 2 } { d ^ { 2 } }$ ; confidence 0.104 175. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120100/k12010016.png ; $T = \{ ( t _ { 1 } , \dots , t _ { m } ) : t _ { \operatorname { min } } < t _ { 1 } < \ldots < t _ { m } < t _ { \operatorname { max } } , t$ ; confidence 0.104 176. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c12018026.png ; $- \{ d y ^ { 1 } \otimes d y ^ { 1 } + \ldots + d y ^ { q } \bigotimes d y ^ { q } \}$ ; confidence 0.104 177. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340110.png ; $( x _ { + } , u _ { - } \# w ) \equiv x _ { + }$ ; confidence 0.104 178. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220118.png ; $r _ { D } : H _ { M } ^ { i } ( X , Q ( j ) ) _ { Z } \rightarrow H _ { D } ^ { i } ( X _ { / R } , R ( j ) )$ ; confidence 0.103 179. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120100/l12010093.png ; $L _ { \gamma } , x _ { 1 }$ ; confidence 0.103 180. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c120210142.png ; $\theta _ { \tau _ { N } } = \theta + h \tau _ { \overline { N } } ^ { - 1 / 2 }$ ; confidence 0.103 181. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g12004053.png ; $| \tilde { \varphi } \mathfrak { u } ( \xi ) | \leq c ^ { - 1 } e ^ { - c | \xi | ^ { 1 / s } }$ ; confidence 0.103 182. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130050/m1300502.png ; $\alpha \leftrightarrow \alpha b \frac { + 1 } { \alpha }$ ; confidence 0.103 183. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020109.png ; $\vec { \mathfrak { c } } _ { \vec { k } } ^ { 2 } \geq 0$ ; confidence 0.103 184. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i13003056.png ; $\operatorname { ind } _ { g } ( P ) = ( - 1 ) ^ { n } \operatorname { Ch } ( [ a | _ { T ^ { * } M ^ { g } } ] ) T ( M ^ { g } ) L ( N , g ) [ T ^ { * } M ^ { g } ]$ ; confidence 0.103 185. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120310/c12031029.png ; $C _ { i j } ^ { k }$ ; confidence 0.103 186. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120020/i1200207.png ; $\times G _ { p + 2 , q } ^ { q - m , p - n + 2 } \left\{ \begin{array} { c } { | \mu + i \tau , \mu - i \tau , - ( \alpha _ { p } ^ { n + 1 } ) , - ( \alpha _ { n } ) } \\ { - ( \beta _ { q } ^ { m + 1 } ) , - ( \beta _ { m } ) } \end{array} \right\}$ ; confidence 0.103 187. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130290/a13029057.png ; $HF _ { x } ^ { \text { symp } } ( M , \text { id } ) \cong H ^ { * } ( M )$ ; confidence 0.103 188. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i13009090.png ; $\varphi : X \rightarrow \Lambda ^ { r } \oplus _ { l = 1 } ^ { s } \Lambda / ( f _ { l } ( T ) ^ { l } ) \oplus \oplus _ { j = 1 } ^ { t } \Lambda / ( \pi ^ { m _ { j } } )$ ; confidence 0.103 189. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060040/l06004017.png ; $g _ { x , p } ( z )$ ; confidence 0.102 190. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t12005089.png ; $\ldots - ( i _ { r } - 1 - i _ { r } ) \cdot \mu _ { i _ { r } }$ ; confidence 0.102 191. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120130/l12013028.png ; $x \in \hat { Q } _ { p } ^ { N }$ ; confidence 0.102 192. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510155.png ; $\lambda ( | V | | E | )$ ; confidence 0.101 193. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b120150137.png ; $( k _ { 1 } , \dots , k _ { w } ) \in ( N \cup \{ 0 \} ) ^ { m }$ ; confidence 0.101 194. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230123.png ; $E ^ { \mathscr { A } } ( L ) = \sum _ { | \alpha | = 0 } ^ { k } ( - 1 ) ^ { | \alpha | } \gamma ^ { - 1 } D ^ { \alpha } ( \gamma \frac { \partial L } { \partial y _ { \alpha } ^ { \alpha } } )$ ; confidence 0.101 195. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d130060129.png ; $Bel _ { X } = \operatorname { Bel } ^ { | X - R _ { T } | X - T - R } \oplus \operatorname { Bel } ^ { | X - T _ { R | X - T - R } } \oplus \operatorname { Bel } ^ { | X - T - R _ { X } }$ ; confidence 0.101 196. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230115.png ; $E ( L ) = E ^ { d } ( L ) \omega ^ { \alpha } \bigotimes \Delta$ ; confidence 0.101 197. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120070/e120070127.png ; $n \overline { H } ^ { 1 } = \operatorname { dim } C ^ { 0 } ( \Gamma , k + 2 , v ) + \operatorname { dim } C ^ { 0 } ( \Gamma , k + 2 , v )$ ; confidence 0.101 198. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044910/g04491082.png ; $m$ ; confidence 0.101 199. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130120/b13012057.png ; $d = \{ d k \} \frac { \infty } { k ^ { 2 } = } - \infty$ ; confidence 0.101 200. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120200/a12020071.png ; $T x _ { j } = t _ { j } x _ { j } \text { for } x ; \in X _ { j } \quad ( j = 1 , \dots , n )$ ; confidence 0.101 201. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220181.png ; $r _ { D } \oplus z _ { D } : R \oplus ( N S ( X ) \otimes Q ) \rightarrow H _ { D } ^ { 3 } ( X , R ( 2 ) )$ ; confidence 0.101 202. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120130/b12013065.png ; $L _ { i j } ^ { 1 } ^ { * } \cong B$ ; confidence 0.100 203. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018053.png ; $( L ) = S P A | g _ { + } ( L )$ ; confidence 0.100 204. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130230/a13023041.png ; $\operatorname { cos } \alpha = \operatorname { sup } \left\{ \begin{array} { r l } { u \in U } & { V ^ { \perp } } \\ { \langle u , v \rangle : } & { v \in V \cap U ^ { \perp } } \\ { \| u \| , \| v \| \leq 1 } \end{array} \right\}$ ; confidence 0.100 205. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230118.png ; $\omega ^ { i t } = d y ^ { i t } - y _ { e _ { i } } ^ { i t } d x _ { i }$ ; confidence 0.100 206. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018068.png ; $1 \omega$ ; confidence 0.099 207. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a1201707.png ; $\left\{ \begin{array} { l } { p t ( \alpha , t ) + p _ { x } ( \alpha , t ) + \mu ( \alpha ) p ( \alpha , t ) = 0 } \\ { p ( 0 , t ) = \int _ { 0 } ^ { + \infty } \beta ( \alpha ) p ( \alpha , t ) d \alpha } \\ { p ( \alpha , 0 ) = p _ { 0 } ( \alpha ) \geq 0 } \end{array} \right.$ ; confidence 0.099 208. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180352.png ; $= g ^ { - 1 } \{ 1,4 \} \nabla C ( g ) - g ^ { - 1 } \{ 1,3 ; 2,5 \} ( A ( g ) \otimes W ( g ) ) \subset \subset \otimes \square ^ { 2 } E$ ; confidence 0.099 209. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120120/d12012030.png ; $2 ^ { 11 }$ ; confidence 0.099 210. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c120210108.png ; $A _ { \gamma } = \sigma ( X _ { 0 } , \dots , X _ { p } )$ ; confidence 0.099 211. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020123.png ; $\vec { c } _ { t } ^ { 1 } = c ^ { T } x ^ { ( l ) } + ( A _ { 1 } x ^ { ( l ) } - b _ { 1 } ) ^ { T } \overline { u } _ { 1 } - \overline { q } < 0$ ; confidence 0.098 212. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170262.png ; $d _ { 1 } ( e _ { 1 } ^ { 2 } ) = g _ { i } e _ { 0 } - e _ { 0 }$ ; confidence 0.098 213. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020198.png ; $\nabla ( \hat { u } _ { 1 } )$ ; confidence 0.098 214. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020250.png ; $\overline { U }$ ; confidence 0.098 215. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018020.png ; $\Gamma \operatorname { t } L \phi$ ; confidence 0.098 216. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023079.png ; $H = I \overline { H } \square$ ; confidence 0.098 217. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120240/s12024022.png ; $( X _ { 1 } \vee \ldots \vee X _ { k } ) = C _ { l = 1 } ^ { \infty } ( X _ { i } , x _ { i 0 } )$ ; confidence 0.098 218. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b12043013.png ; $( a \otimes c ) ( b \otimes d ) = \alpha . \Psi _ { C , B } ( c \otimes b ) . d$ ; confidence 0.098 219. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130590/s13059055.png ; $c _ { N } = q ^ { - x - x ^ { 2 } / 2 } , n = 0 , \pm 1 , \pm 2 , \ldots$ ; confidence 0.098 220. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b120430175.png ; $\partial _ { q , y } ( x ^ { n } y ^ { m } ) = q ^ { n } [ m ] _ { q ^ { 2 } } x ^ { n } y ^ { m - 1 }$ ; confidence 0.097 221. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130590/s13059040.png ; $\frac { F _ { 1 } z } { 1 + G _ { 1 } z } \square _ { + } \frac { F _ { 2 } z } { 1 + G _ { 2 } z } \square _ { + } \frac { F _ { 3 } } { 1 + G _ { 3 } z } \square$ ; confidence 0.097 222. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b12043089.png ; $\Psi ( E _ { i } \bigotimes E _ { j } ) = q ^ { \alpha _ { i } j } E _ { j } \otimes E _ { i }$ ; confidence 0.097 223. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120030/b1200306.png ; $f ( x ) = \sum _ { n \in Z } \sum _ { m \in Z } c _ { n , m } ( f ) g _ { n , m } ( x )$ ; confidence 0.097 224. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200166.png ; $V = \oplus _ { \lambda \in \mathfrak { h } ^ { * } } V ^ { \lambda }$ ; confidence 0.097 225. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120280/c12028037.png ; $\pi : F T o p \rightarrow C r s$ ; confidence 0.097 226. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o130060134.png ; $\hat { \Theta } ( \mu )$ ; confidence 0.096 227. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130120/b1301202.png ; $\hat { f } ( m ) = ( 2 \pi ) ^ { - 1 } \int _ { - \infty } ^ { \pi } f ( u ) e ^ { - i m x } d u$ ; confidence 0.096 228. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130010/s13001041.png ; $R _ { S } ^ { * } = \{ x \in Q : | x | _ { v } = 1 , \forall | l _ { v } \notin S \}$ ; confidence 0.096 229. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110590/b11059029.png ; $40$ ; confidence 0.096 230. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130190/a13019017.png ; $\pi$ ; confidence 0.096 231. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f13029018.png ; $\tau$ ; confidence 0.096 232. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b12015036.png ; $d _ { 0 } \in \cap _ { P \in P } L _ { 2 } ( \Omega , A , P )$ ; confidence 0.096 233. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015400/b01540030.png ; $\hat { P }$ ; confidence 0.096 234. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110175.png ; $a _ { m - 1 } = b _ { m - 1 } - \frac { 1 } { 2 \iota } \sum _ { 1 \leq j \leq n } \frac { \partial ^ { 2 } b _ { m } } { \partial x _ { j } \partial \xi _ { j } } = h _ { m - 1 } ^ { s }$ ; confidence 0.096 235. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120270/m12027039.png ; $z _ { 1 } ^ { ( 1 ) } , \dots , z _ { 1 } ^ { ( 1 - 1 ) }$ ; confidence 0.096 236. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120230/a12023048.png ; $\langle \alpha , b \rangle = \alpha _ { 1 } b _ { 1 } + \ldots + a _ { n } b _ { n }$ ; confidence 0.095 237. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z13011072.png ; $\mu _ { \gamma } ( x ) \nmid \mu _ { \gamma }$ ; confidence 0.095 238. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f13029067.png ; $f _ { L } \rightarrow f f _ { L } ^ { L }$ ; confidence 0.095 239. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290197.png ; $[ H _ { M } ^ { e } ( R ) ] _ { r }$ ; confidence 0.095 240. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s13064039.png ; $H ( \alpha ) = ( \alpha _ { 1 } + j + k ) j _ { j } k = 0$ ; confidence 0.095 241. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004010.png ; $\lambda \varphi 0 , \ldots , \varphi _ { x } - 1$ ; confidence 0.095 242. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130040/b13004010.png ; $I [$ ; confidence 0.095 243. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130040/g13004016.png ; $H ^ { m } ( E ) = \operatorname { sup } _ { \delta > 0 } \operatorname { inf } \{ c _ { m } \sum _ { i } | E _ { i } | ^ { m } : \quad \begin{array} { c } { E \subset \cup _ { i } E _ { i } } \\ { | E _ { i } | < \delta \text { for alli } } \end{array} \}$ ; confidence 0.095 244. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013073.png ; $Q$ ; confidence 0.095 245. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120120/c1201202.png ; $I _ { v }$ ; confidence 0.095 246. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130070/h13007040.png ; $( A _ { i } , r + j , A _ { i } + 1 , r + j , \dots , A _ { r } + j ; \Delta e _ { j } ) , j = 1 , \dots , l - r$ ; confidence 0.095 247. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130010/g1300101.png ; $E _ { 1 } t F$ ; confidence 0.095 248. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050216.png ; $A _ { 2 } = \prod _ { m _ { 2 } } ^ { 2 } \geq 2 \zeta ( m ^ { 2 } ) = 2.49$ ; confidence 0.094 249. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110370/c11037053.png ; $\hat { r } _ { 2 }$ ; confidence 0.094 250. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a1301804.png ; $L = \{ Fm _ { L } , \operatorname { Mod } _ { L } , \vDash _ { L } , \operatorname { mng } _ { L } , t _ { L } \}$ ; confidence 0.094 251. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014038.png ; $\tilde { D } _ { n }$ ; confidence 0.094 252. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120270/m12027042.png ; $\left\{ \begin{array} { l } { x _ { 1 } ^ { 3 } + \sum _ { i + j + k \leq 2 } a _ { j k } x _ { 1 } ^ { i } x _ { 2 } ^ { j } x _ { 3 } ^ { k } = 0 } \\ { x _ { 2 } ^ { 3 } + \sum _ { i + j + k \leq 2 } b _ { j k } x _ { 1 } ^ { i } x _ { 2 } ^ { j } x _ { 3 } ^ { k } = 0 } \\ { x _ { 3 } ^ { 3 } + \sum _ { i + j + k \leq 2 } c _ { i j k } x _ { 1 } ^ { i } x _ { 2 } ^ { j } x _ { 3 } ^ { k } = 0 } \end{array} \right.$ ; confidence 0.094 253. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013970/a01397010.png ; $\epsilon _ { Y }$ ; confidence 0.093 254. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040331.png ; $\operatorname { Id } E ( x , x ) \text { and } x , E ( x , y ) | _ { D } y$ ; confidence 0.093 255. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120100/l12010040.png ; $L _ { \frac { 3 } { 2 } , n } = L _ { \frac { 3 } { 2 } } ^ { c } , x$ ; confidence 0.093 256. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120140/p1201406.png ; $\alpha _ { N } = N ( \frac { a _ { n } ^ { 2 } - 1 } { a _ { n } - 2 } )$ ; confidence 0.093 257. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j13004087.png ; $a ( x _ { + } - n _ { - } - s ( D _ { L } ) + 1 ) , ( n - s ( D _ { L } ) + 1 ) \neq 0$ ; confidence 0.093 258. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120280/d120280155.png ; $g _ { \lambda } \in A / B$ ; confidence 0.093 259. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032130/d032130316.png ; $K _ { Y }$ ; confidence 0.093 260. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018022.png ; $\Delta H \mathscr { \phi }$ ; confidence 0.093 261. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130130/h1301309.png ; $r = ( r _ { 1 } , \dots , r _ { N } ) \in R ^ { x }$ ; confidence 0.093 262. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120100/b12010051.png ; $1,00$ ; confidence 0.093 263. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340116.png ; $\overline { x } _ { + }$ ; confidence 0.093 264. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840308.png ; $U = \left( \begin{array} { l l } { U _ { 11 } } & { U _ { 12 } } \\ { U _ { 21 } } & { U _ { 22 } } \end{array} \right) : K \oplus \kappa _ { 1 } \rightarrow \sim \oplus \kappa _ { 2 }$ ; confidence 0.092 265. https://www.encyclopediaofmath.org/legacyimages/o/o120/o120020/o1200209.png ; $F ( x ) = \frac { x ^ { - \alpha } ( 1 + x ) ^ { 2 \alpha - c } } { \Gamma ( c ) } x$ ; confidence 0.092 266. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130040/g13004048.png ; $\operatorname { lim } _ { r \rightarrow 0 } \frac { H ^ { m } ( \{ y \in E \cap B ( x , r ) : \quad > \text { dist } ( y - x , V ) > } { > s | y - x | } ) = 0$ ; confidence 0.092 267. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w13009042.png ; $\| \theta _ { n } ( h _ { 1 } \otimes \ldots \otimes h _ { n } ) \| _ { L ^ { 2 } ( \mu ) } = \sqrt { n ! } | h _ { 1 } \otimes \ldots \otimes h _ { n } | _ { H } \otimes _ { n }$ ; confidence 0.092 268. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040538.png ; $\varphi _ { 0 } ^ { 0 } , \ldots , \varphi _ { n _ { 0 } } ^ { 0 } - 1 \supset \psi ^ { 0 } ; \ldots ; \varphi _ { 0 } ^ { m - 1 } , \ldots , \varphi _ { n _ { m - 1 } } ^ { m - 1 } - 1 \supset \psi ^ { m - 1 } \vdash _ { G }$ ; confidence 0.092 269. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b12015046.png ; $d _ { j } ^ { * } \in \cap _ { \in P } L _ { 2 } ( \Omega , A , P )$ ; confidence 0.092 270. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130070/i1300701.png ; $[ - \nabla ^ { 2 } + q ( x ) - k ^ { 2 } ] u = 0 \operatorname { in } R ^ { 3 } , k = const > 0$ ; confidence 0.092 271. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180482.png ; $W ( \mathfrak { g } ) = R ( \mathfrak { g } ) \in A ^ { 2 } E \otimes A ^ { 2 } E$ ; confidence 0.092 272. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j120020170.png ; $c E [ | U _ { \tau } ^ { * } | ^ { N } ] \leq \operatorname { sup } _ { 0 < r < 1 } \int _ { \partial D } | f ( r e ^ { i \vartheta } ) | ^ { p } \frac { d \vartheta } { 2 \pi } \leq C E [ | U _ { \tau } ^ { * } | ^ { p } ]$ ; confidence 0.092 273. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a014060108.png ; $x$ ; confidence 0.091 274. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130080/d13008032.png ; $F ( D _ { i z } ) \subset D _ { i z }$ ; confidence 0.091 275. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c12008038.png ; $A = [ A , A _ { 2 } ] \in C ^ { \operatorname { max } } \times ( m n + p )$ ; confidence 0.091 276. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c12017071.png ; $z ^ { i } z ^ { j }$ ; confidence 0.091 277. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900176.png ; $\| T \| = \operatorname { ess } _ { S \in Z } \operatorname { sup } _ { \| T ( \zeta ) \| }$ ; confidence 0.091 278. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120160/e12016027.png ; $R _ { y , h } = 0$ ; confidence 0.091 279. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110160/f110160130.png ; $\forall x _ { n } + 1 \vee \{ \psi _ { \mathfrak { A } } ^ { l } \overline { a } a : a \in A \}$ ; confidence 0.091 280. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e1202304.png ; $E ^ { i t } ( L )$ ; confidence 0.091 281. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120240/a12024049.png ; $\overline { CH } \overline { \square } ^ { 1 } ( \operatorname { Spec } ( Z ) ) = R$ ; confidence 0.091 282. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120280/b1202805.png ; $\prod _ { j = 1 } ^ { \infty } \frac { | \alpha | } { \alpha } \frac { z - \alpha } { 1 - \overline { \alpha } z } , \quad \sum ( 1 - | \alpha _ { j } | ) < \infty$ ; confidence 0.091 283. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t13005013.png ; $\{ e _ { 1 } , \ldots , e _ { i } , i , 1 \leq i _ { 1 } < \ldots < i _ { k } \leq n \}$ ; confidence 0.091 284. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130020/i13002046.png ; $P _ { \operatorname { min } } \leq P ( A _ { 1 } \cup 1 \cdot \cup A _ { n } ) \leq P _ { r }$ ; confidence 0.090 285. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b12015092.png ; $d ^ { * } \in \cap _ { P \in P } L _ { 1 } ( \Omega , A , P ) \cap L _ { 2 } ( \Omega , A , P _ { 0 } )$ ; confidence 0.090 286. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120040/l12004056.png ; $\left. \begin{array}{l}{ f _ { i + 1 / 2 } ^ { waf } = \frac { 1 } { \Delta x } \int _ { - \frac { 1 } { 2 } \Delta x } ^ { \frac { 1 } { 2 } \Delta x } f [ u _ { t + 1 / 2 } ( x , \frac { 1 } { 2 } \Delta t ) ] d x }\\{ - \frac { 1 } { 2 } \Delta x }\end{array} \right.$ ; confidence 0.090 287. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013220/a01322030.png ; $B _ { i k }$ ; confidence 0.090 288. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120350/s12035037.png ; $= X _ { N - 1 } + \mu _ { N } Q _ { 2 } ( X _ { N } ^ { \theta }$ ; confidence 0.090 289. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120010/q12001050.png ; $\sum _ { k } \sum _ { l } \overline { c } _ { k } c l S ( \theta ( f _ { k } ) - f _ { l } ) \geq 0$ ; confidence 0.090 290. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110200/b11020015.png ; $T ^ { Y }$ ; confidence 0.090 291. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110110/m1101107.png ; $a _ { y }$ ; confidence 0.090 292. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130090/f13009076.png ; $N _ { k , \gamma }$ ; confidence 0.090 293. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011026.png ; $( \alpha ^ { w } ) ^ { * } = \operatorname { Op } ( J ( \overline { ( J ^ { 1 / 2 } \alpha ) } ) = \operatorname { Op } ( J ^ { 1 / 2 } \overline { a } ) = ( \overline { \alpha } ) ^ { w }$ ; confidence 0.090 294. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040083.png ; $w \in ^ { - 1 }$ ; confidence 0.089 295. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120020/e12002046.png ; $( X \wedge Z , Y ) \approx \operatorname { map } * ( X , \operatorname { map } _ { * } ( Z , Y ) )$ ; confidence 0.089 296. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090335.png ; $L ( g )$ ; confidence 0.089 297. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130110/d13011019.png ; $\alpha y = \left( \begin{array} { c c c c } { 0 } & { 0 } & { 0 } & { - i } \\ { 0 } & { 0 } & { i } & { 0 } \\ { 0 } & { - i } & { 0 } & { 0 } \\ { i } & { 0 } & { 0 } & { 0 } \end{array} \right) = \left( \begin{array} { c c } { 0 } & { \sigma y } \\ { \sigma y } & { 0 } \end{array} \right) , \alpha _ { z } = \left( \begin{array} { c c c c } { 0 } & { 0 } & { 1 } & { 0 } \\ { 0 } & { 0 } & { 0 } & { - 1 } \\ { 1 } & { 0 } & { 0 } & { 0 } \\ { 0 } & { - 1 } & { 0 } & { 0 } \end{array} \right) = \left( \begin{array} { c c } { 0 } & { \sigma _ { z } } \\ { \sigma _ { z } } & { 0 } \end{array} \right)$ ; confidence 0.089 298. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130110/s13011045.png ; $\mathfrak { S } _ { \mathfrak { d } } = \mathfrak { x } _ { \mathfrak { l } } ^ { \mathfrak { W } }$ ; confidence 0.089 299. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120130/m12013051.png ; $\left. \begin{array}{l}{ \frac { d N ^ { 1 } } { d t } = \lambda _ { ( 1 ) } N ^ { 1 } ( 1 - \frac { N ^ { 1 } } { K _ { ( 1 ) } } - \delta _ { ( 1 ) } \frac { N ^ { 2 } } { K _ { ( 1 ) } } ) }\\{ \frac { d N ^ { 2 } } { d t } = \lambda _ { ( 2 ) } N ^ { 2 } ( 1 - \frac { N ^ { 2 } } { K _ { ( 2 ) } } - \delta _ { ( 2 ) } \frac { N ^ { 1 } } { K _ { ( 2 ) } } ) }\end{array} \right.$ ; confidence 0.089 300. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120080/q12008058.png ; $E [ W ] _ { gated } = \frac { \delta ^ { 2 } } { 2 r } + \frac { P \lambda b ^ { ( 2 ) } + r ( P + \rho ) } { 2 ( 1 - \rho ) } , E [ W ] _ { lim } = \frac { \delta ^ { 2 } } { 2 r } + \frac { P \lambda b ^ { ( 2 ) } + r ( P + \rho ) + P \lambda \delta ^ { 2 } } { 2 ( 1 - \rho - P \lambda r ) }$ ; confidence 0.089