View source for User:Maximilian Janisch/latexlist/latex/NoNroff/57

== List ==
1. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120240/d12024021.png ; $\operatorname{Prim}( U ( \mathfrak{g} ) )$ ; confidence 0.525

2. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023047.png ; $z ( a ) = 0 = z ( b )$ ; confidence 0.524

3. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120030/q12003045.png ; $\psi = ( \text { id } \otimes \varphi ) \circ L : A \rightarrow \operatorname { Fun } _ { q } ( G )$ ; confidence 0.524

4. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120210/w12021055.png ; $B _ { m } = I _ { m }$ ; confidence 0.524

5. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120030/c12003029.png ; $h _ { K }$ ; confidence 0.524

6. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130010/i13001042.png ; $\overline { d } _{\langle n \rangle} ( A ) = \operatorname { per } ( A ) \geq \overline { d } _ { \lambda } ( A )$ ; confidence 0.524

7. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130130/d13013071.png ; $\psi _ { + }$ ; confidence 0.524

8. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120150/l12015025.png ; $w \in T V$ ; confidence 0.524

9. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120310/c12031018.png ; $n ( \epsilon , F _ { d } ) = \operatorname { min } \{ n : e _ { n} ( F _ { d } ) \leq \epsilon \}.$ ; confidence 0.524

10. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a11030024.png ; $\theta _ { X }$ ; confidence 0.524

11. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090373.png ; $M = \mathcal{U} _ { Z } v ^ { + }$ ; confidence 0.524

12. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130040/z1300409.png ; $[ n / 2 ]$ ; confidence 0.523

13. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a120070121.png ; $\frac { d u } { d t } = A ( t , v ) u + f ( t , v ) , 0 < t \leq T , u ( 0 ) = u_0.$ ; confidence 0.523

14. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130020/e1300209.png ; $( \varphi _ { j } ) _ { j \in \mathbf{N} }$ ; confidence 0.523

15. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006073.png ; $Z = Z_j$ ; confidence 0.523

16. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120260/a120260102.png ; $X = ( X _ { 1 } , \ldots , X _ { n } )$ ; confidence 0.523

17. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f12023077.png ; $\mathcal{L} _ { X } = [ i \chi , d ] = i \chi d + d i \chi$ ; confidence 0.523

18. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130190/f13019010.png ; $j = 0 , \ldots , 2 N - 1$ ; confidence 0.523

19. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a1102803.png ; $uv$ ; confidence 0.523

20. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c12008031.png ; $= \Lambda ^ { m } + D _ { 1 } \Lambda ^ { m - 1 } + \ldots + D _ { m - 1 } \Lambda + D _ { m } , D _ { k } \in C ^ { n \times n } , k = 1 , \ldots , m,$ ; confidence 0.523

21. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110040/b11004038.png ; $N _ { 2 } / N _ { 1 }$ ; confidence 0.523

22. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f120110153.png ; $\operatorname{supp} f \subset K$ ; confidence 0.523

23. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023074.png ; $R ^ { - 1 } - Z ^ { * } R ^ { - 1 } Z = \tilde{ H } \square ^ { * } J \tilde { H }$ ; confidence 0.523

24. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m130260228.png ; $Q ( A )$ ; confidence 0.523

25. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120030/m12003092.png ; $\sum _ { i = 1 } ^ { n } \eta ( \vec { x } _ { i } , r _ { i } ) \vec { x } _ { i } = \vec { 0 },$ ; confidence 0.523

26. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130010/z13001039.png ; $\tilde{x} ( z ) z ^ { n - 1 } = h ( z ) / g ( z )$ ; confidence 0.523

27. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b130300141.png ; $D ( 2 n_1 ) \times D ( 2 n_2 ) ^ { l }$ ; confidence 0.523

28. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l12012092.png ; $p \in P$ ; confidence 0.523

29. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120230/a12023044.png ; $\overline{ D }$ ; confidence 0.522

30. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a1300406.png ; $\lambda ^ { Fm } : Fm ^ { n } \rightarrow Fm$ ; confidence 0.522

31. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090268.png ; $h _ { \beta }$ ; confidence 0.522

32. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120070/l12007016.png ; $\left( \begin{array} { c } { v _ { 1 , t }} \\ { \vdots } \\ { v _ { k , t } } \end{array} \right).$ ; confidence 0.522

33. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110020/l110020158.png ; $a , b \in G$ ; confidence 0.522

34. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f13029049.png ; $\forall \{ u_j : j \in J \} \subset L ^ { X }$ ; confidence 0.522

35. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130480/s13048036.png ; $H _ { S } ^ { 0 } ( D ) =\operatorname{ ker} D$ ; confidence 0.522

36. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020127.png ; $g ( \overline { u } _ { 1 } ) = c ^ { T } x ^ { ( l ) } + ( A _ { 1 } x ^ { ( l ) } - b _ { 1 } ) ^ { T } \overline { u _1}$ ; confidence 0.522

37. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130170/b13017011.png ; $T > t$ ; confidence 0.522

38. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130140/a13014023.png ; $n = 1 , \infty$ ; confidence 0.522

39. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130160/r13016036.png ; $\mathcal{R} ^ { \infty } \rightarrow \ldots \rightarrow \mathcal{R} ^ { m } \rightarrow \ldots \rightarrow \mathcal{R} ^ { 0 }$ ; confidence 0.522

40. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120100/b12010034.png ; $F _ { S } ( t , x _ { 1 } , \ldots , x _ { S } ) =$ ; confidence 0.522

41. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011045.png ; $= \int _ { \mathbf{R} ^ { 2 n } } \hat { \alpha } ( \Xi ) \operatorname { exp } ( 2 i \pi \Xi . M ) d \Xi$ ; confidence 0.522

42. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012090/a01209011.png ; $\alpha , b \in R$ ; confidence 0.522

43. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015340/b0153407.png ; $G ^ { \prime }$ ; confidence 0.522

44. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130050/q13005065.png ; $QS ( \mathbf{T} )$ ; confidence 0.522

45. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120230/a12023052.png ; $\partial \Omega _ { \gamma }$ ; confidence 0.521

46. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017030/b017030110.png ; $\Omega ^ { * }$ ; confidence 0.521

47. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110250/p1102503.png ; $x ^ { 0 } \in \mathbf{R} ^ { n}$ ; confidence 0.521

48. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120310/c12031036.png ; $\alpha _ { l } \leq  k $ ; confidence 0.521

49. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j12002083.png ; $\operatorname{E} | Y _ { \infty } - Y _ { T } | \leq c\operatorname{P} [ T < \infty ]$ ; confidence 0.521

50. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012410/a012410136.png ; $U _ { 1 }$ ; confidence 0.521

51. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130100/z13010030.png ; $\forall x \forall y ( \forall z ( z \in x \leftrightarrow z \in y ) \rightarrow x = y ).$ ; confidence 0.521

52. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120080/i120080106.png ; $T _ { c } = 2 J / k _ { B }$ ; confidence 0.521

53. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130290/a13029017.png ; $L_0$ ; confidence 0.521

54. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120190/w1201909.png ; $f _ { W }$ ; confidence 0.521

55. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130260/b13026067.png ; $f : \overline { \Omega } \rightarrow \mathbf{R} ^ { n }$ ; confidence 0.521

56. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120280/s12028027.png ; $\{ \ldots \}$ ; confidence 0.521

57. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120440/b12044069.png ; $\{ g_j\}$ ; confidence 0.521

58. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130010/m13001035.png ; $\operatorname{P} ( X _ { i } | \gamma _ { i } )$ ; confidence 0.521

59. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130020/q13002031.png ; $\mathcal{P} ^ { \# _\mathcal{ P}}$ ; confidence 0.521

60. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b12021036.png ; $X _ { i } \in a$ ; confidence 0.521

61. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l05700071.png ; $W \equiv \lambda x . F ( x x )$ ; confidence 0.521

62. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t12020080.png ; $R _ { n } < 1 - \operatorname { log } n / ( 3 n )$ ; confidence 0.520

63. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120160/s12016020.png ; $\| I _ { 1 } ( f ) - U ^ { i } ( f ) \| _ { 0 }$ ; confidence 0.520

64. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a1301809.png ; $\models _ { \mathcal{L} } \subseteq Mod \times Fm$ ; confidence 0.520

65. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120190/f12019038.png ; $Nh$ ; confidence 0.520

66. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110660/b11066032.png ; $H f ( x ) = \operatorname { lim } _ { \epsilon } \downarrow 0 \int _ { | t | > \epsilon } f ( x - t ) / t d t$ ; confidence 0.520

67. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120240/f1202409.png ; $t \mapsto t + T$ ; confidence 0.520

68. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130220/m13022071.png ; $T_g$ ; confidence 0.520

69. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055036.png ; $\mathbf{Z} _ { p }$ ; confidence 0.520

70. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i13009045.png ; $\varepsilon \mapsto ( \varepsilon , \ldots , \varepsilon )$ ; confidence 0.520

71. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120160/b12016055.png ; $x _ { k} ^ { \prime }$ ; confidence 0.520

72. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120320/b12032063.png ; $t \leq t_1$ ; confidence 0.520

73. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130300/a13030097.png ; $\mathcal{C} ( K )$ ; confidence 0.520

74. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130120/h13012016.png ; $\| f ( x ) - \alpha ( x ) \| \leq \varepsilon$ ; confidence 0.520

75. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120130/l12013049.png ; $V ( \tilde{Z} _ { p } ) \neq \emptyset$ ; confidence 0.520

76. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110080/d11008040.png ; $v ^ { H }$ ; confidence 0.520

77. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011980/a01198064.png ; $i , j$ ; confidence 0.520

78. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120150/s120150132.png ; $\pi : X \rightarrow X // G$ ; confidence 0.520

79. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130060/k13006027.png ; $\alpha _ { k } = n$ ; confidence 0.520

80. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200118.png ; $\alpha _ { j } ( D _ { i } ) = \delta _ { i j }$ ; confidence 0.519

81. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240418.png ; $n ^ { - 1 } M _ { \mathrm{E} }$ ; confidence 0.519

82. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130270/a13027031.png ; $P_n$ ; confidence 0.519

83. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120230/c1202302.png ; $A _ { 0 } \subset \mathbf{R} ^ { n }$ ; confidence 0.519

84. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j12002050.png ; $\mathrm EB _ { S } B _ { t } = \operatorname { min } ( s , t )$ ; confidence 0.519

85. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130270/a13027083.png ; $Q _ { n } ^ { * } w \rightarrow w$ ; confidence 0.519

86. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020059.png ; $h _ { i j } = 0$ ; confidence 0.519

87. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005042.png ; $\lambda \in S _ { \theta _ { 0 } }$ ; confidence 0.519

88. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120270/b12027079.png ; $\sum m \underline { \square } _ { n } ( h ) h$ ; confidence 0.519

89. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120200/s12020037.png ; $\neq \left( \begin{array} { c c c c } { 9 } & { 2 } & { 3 } & { 6 } \\ { 7 } & { 1 } & { 4 } & { \square } \\ { 8 } & { \square } & { \square } & { \square } \\ { 9 } & { \square } & { \square } & { \square } \end{array} \right) = \left( \begin{array} { c c c c } { 2 } & { 3 } & { 9 } & { 6 } \\ { 4 } & { 1 } & { 7 } & { \square } \\ { 8 } & { \square } & { \square } & { \square } \\ { 9 } & { \square } & { \square } & { \square } \end{array} \right).$ ; confidence 0.519

90. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i13009062.png ; $\gamma \operatorname{mod} \Gamma ^ { p^m } \mapsto \gamma \operatorname { mod } \Gamma ^ { p ^ { n } }$ ; confidence 0.519

91. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t130140112.png ; $t \in Q_0$ ; confidence 0.519

92. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f120110200.png ; $C _ { \delta } = \{ z : | \operatorname { Im } z | < \delta ( | \operatorname { Re } { z | } + 1 ) \}$ ; confidence 0.519

93. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080145.png ; $\Sigma _ { g }$ ; confidence 0.519

94. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130200/m1302007.png ; $\mathfrak { X } ( M , P )$ ; confidence 0.519

95. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023092.png ; $F = \operatorname { diag } \{ f _ { 0 } , \dots , f _ { n - 1 } \}$ ; confidence 0.519

96. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120190/f12019074.png ; $\omega ^ { n} \neq \omega$ ; confidence 0.519

97. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130620/s13062090.png ; $\mu _ { d }$ ; confidence 0.519

98. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290177.png ; $\alpha _ { 1 } ^ { n _ { 1 } } , \dots , \alpha _ { d } ^ { n _ { d } }$ ; confidence 0.519

99. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040100/f0401005.png ; $x \in \mathbf{R} ^ { 4 }$ ; confidence 0.519

100. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030090/d0300909.png ; $P _ { \nu } + R _ { \nu } = 0 , \quad \nu = 1,2 , \dots ,$ ; confidence 0.519

101. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130070/h1300707.png ; $[ k ^ { p } ( \alpha _ { 1 } , \dots , \alpha _ { s } ) : k ^ { p } ] = p ^ { s }$ ; confidence 0.519

102. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022110/c02211062.png ; $\mu _ { 1 } , \dots , \mu _ { m }$ ; confidence 0.519

103. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120310/c1203101.png ; $Q _ { n } ( f ) = \sum _ { i = 1 } ^ { n } c _ { i } f ( x _ { i } )$ ; confidence 0.518

104. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170193.png ; $\tau \notin \operatorname{Wh} ^ { * } ( \pi )$ ; confidence 0.518

105. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e13003086.png ; $Q ( \zeta ( p ) )$ ; confidence 0.518

106. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120050/w12005048.png ; $\mathcal{D} \otimes \mathcal{D} = \mathbf{R} [ x , y ] / \langle x ^ { 2 } , y ^ { 2 } \rangle$ ; confidence 0.518

107. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015010/b01501020.png ; $j_\gamma : B O _ { r } \rightarrow B O _ { r + 1}$ ; confidence 0.518

108. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130070/v13007016.png ; $( \vec { n } . \nabla \phi ) = U \vec { n } \vec { x }.$ ; confidence 0.518

109. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130090/c13009030.png ; $\frac { d C _ { j } } { d x } ( x _ { k } ) = \left\{ \begin{array} { l l } { \frac { 1 } { 6 } ( 1 + 2 N ^ { 2 } ) } & { \text { for } j = k = 0 ,} \\ { - \frac { 1 } { 6 } ( 1 + 2 N ^ { 2 } ) } & { \text { for } j = k = N, } \\ { - \frac { x _ { j } } { 2 ( 1 - x _ { j } ^ { 2 } ) } } & { \text { for } j = k , 0 < j < N ,} \\ { ( - 1 ) ^ { j + k } \frac { \bar{c} _ { k } } { \bar{c} _ { j } ( x _ { k } - x _ { j } ) } } & { \text { for } j \neq k, } \end{array} \right.$ ; confidence 0.518

110. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120130/p12013012.png ; $( 1 + \sqrt { 5 } ) / 2$ ; confidence 0.518

111. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120510/b12051048.png ; $x_{+}$ ; confidence 0.518

112. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j13004073.png ; $\alpha _ { e} ( z ) \neq 0$ ; confidence 0.518

113. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010930/a01093017.png ; $\leq 1$ ; confidence 0.518

114. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110216.png ; $m ( X ) \leq C ( 1 + G _ { X } ^ { \sigma } ( X - Y ) ) ^ { N } m ( Y ),$ ; confidence 0.518

115. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120070/q120070142.png ; $G _ { q } , U _ { q } ( \mathfrak { g } )$ ; confidence 0.518

116. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c12018024.png ; $y ^ { 1 } , \dots , y ^ { q }$ ; confidence 0.518

117. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050149.png ; $= \prod _ { p \in P } ( 1 + | p | ^ { - z } + | p | ^ { - 2 z } + \ldots ) =$ ; confidence 0.517

118. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130190/m13019030.png ; $f _ { 0 } , f _ { 1 } , \dots$ ; confidence 0.517

119. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o13006029.png ; $P _ { \mathcal{E}}$ ; confidence 0.517

120. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130210/c13021025.png ; $w _ { L _ { - } } = w _ { L _ { + } } * w _ { L _ { 0 } }$ ; confidence 0.517

121. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c1202103.png ; $A _ { N } \in\mathcal{ A} _ { N }$ ; confidence 0.517

122. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120010/c12001049.png ; $F \subset \mathbf{P} ^ { n - 1 }$ ; confidence 0.517

123. https://www.encyclopediaofmath.org/legacyimages/y/y120/y120030/y1200308.png ; $^ { * } F _ { A } = - F _ { A }$ ; confidence 0.517

124. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s13064031.png ; $\operatorname{wind}( a - z )$ ; confidence 0.517

125. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a13032038.png ; $S _ { 1 } , S _ { 2 } , \ldots$ ; confidence 0.517

126. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120210/w12021046.png ; $( s , \dots , s , B _ { m } )$ ; confidence 0.517

127. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c120210116.png ; $P _ { n , \theta _ { n } }$ ; confidence 0.517

128. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120050/w12005052.png ; $f : \mathbf{R} ^ { m } \rightarrow \mathbf{R}$ ; confidence 0.517

129. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130210/t1302103.png ; $x = [ a , b ]$ ; confidence 0.517

130. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130050/v13005046.png ; $Y ( 1 , x ) = 1$ ; confidence 0.517

131. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130020/h13002070.png ; $ \geq N$ ; confidence 0.517

132. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120300/d12030038.png ; $\mu_Z$ ; confidence 0.517

133. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a0102407.png ; $j = 0 , \dots , n$ ; confidence 0.517

134. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i130090127.png ; $\mu _ { p } ( K /   k  ) = \mu ( X )$ ; confidence 0.517

135. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008041.png ; $v = d u / d t$ ; confidence 0.516

136. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040028.png ; $G \times F$ ; confidence 0.516

137. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120080/t12008027.png ; $\operatorname { max } \{ | x | , | y | , p _ { 1 } ^ { z _ { 1 } } \ldots p _ { s } ^ { z _ { s } } \}$ ; confidence 0.516

138. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130230/a13023010.png ; $P _ {\overline{U+V}}$ ; confidence 0.516

139. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170233.png ; $T _ { \mathcal{P} }$ ; confidence 0.516

140. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c12018059.png ; $g = E d x \otimes d x +$ ; confidence 0.516

141. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083360/s0833602.png ; $J _ { n } ( z ) = \frac { 1 } { \pi } \int _ { 0 } ^ { \pi } \operatorname { cos } ( n \theta - z \operatorname { sin } \theta ) d \theta +$ ; confidence 0.516

142. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130080/i13008014.png ; $X ^ { \prime } = L _ { 1 } ^ { \prime } \cap L _ { 2 } ^ { \prime } = L _ { 2 } ^ { \prime } \cap L _ { 3 } ^ { \prime } = L _ { 1 } ^ { \prime } \cap L _ { 3 } ^ { \prime }$ ; confidence 0.516

143. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130180/m130180103.png ; $\mu ( U , V ) = ( - 1 ) ^ { d } q ^ { d ( d - 1 ) / 2 },$ ; confidence 0.516

144. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110220/d11022041.png ; $x _ { 1 } \leq x \leq x _ { m }$ ; confidence 0.516

145. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130040/t1300408.png ; $j = 1,2 , \dots$ ; confidence 0.516

146. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012930/a01293026.png ; $x _ { m }$ ; confidence 0.516

147. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130010/f13001019.png ; $\mathbf{F} _ { q } [ x ]$ ; confidence 0.516

148. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120060/i12006043.png ; $\operatorname{PredSucc}( x ) = \{ y : y < P \text { zfor allz } \in \operatorname { Succ } ( x ) \}$ ; confidence 0.516

149. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b120420145.png ; $\sum h _ { ( 1 ) } \otimes h _ { ( 2 ) }$ ; confidence 0.516

150. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120290/d1202909.png ; $\sum _ { q = 1 } ^ { \infty } \varphi ( q ) f ( q )$ ; confidence 0.516

151. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120120/d12012052.png ; $j = 1 , \dots , m - 1$ ; confidence 0.516

152. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015710/b01571021.png ; $k = 0 , \dots , n$ ; confidence 0.516

153. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e12012032.png ; $\operatorname { log } L ( \theta | Y _ { aug } )$ ; confidence 0.516

154. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l12003018.png ; $\mathcal{S} q ^ { 0 } = Id$ ; confidence 0.516

155. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130010/g13001081.png ; $\operatorname { log } _ { \omega } 0 = \infty$ ; confidence 0.516

156. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120150/e12015043.png ; $\mathcal{B} _ { j k l} ^ { i }$ ; confidence 0.516

157. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z13011033.png ; $G _ { n } ( f ( k , n ) ) = \operatorname { max } \{ k ^ { \prime } : f _ { ( k ^ { \prime } , n ) } = f ( k , n ) \}$ ; confidence 0.516

158. https://www.encyclopediaofmath.org/legacyimages/y/y120/y120040/y12004015.png ; $\operatorname { inf } _ { u \in \mathcal{A} } I ( u )$ ; confidence 0.516

159. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120050/g1200508.png ; $\subset \mathbf{R} ^ { m }$ ; confidence 0.515

160. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j12002034.png ; $\varphi _ { 2 } + i \tilde { \varphi } _ { 2 }$ ; confidence 0.515

161. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c12008088.png ; $\Delta ( z _ { 1 } , z _ { 2 } ) = \operatorname { det } \left[ \begin{array} { c c } { E _ { 1 } z _ { 1 } - A _ { 1 } } & { E _ { 2 } z _ { 2 } - A _ { 2 } } \\ { E _ { 3 } z _ { 1 } - A _ { 3 } } & { E _ { 4 } z _ { 2 } - A_4 } \end{array} \right] =$ ; confidence 0.515

162. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120060/l12006033.png ; $\langle \lambda | G ( z ) \phi ) = \frac { 1 } { z - \lambda } \langle \lambda | V \phi ) ( \phi , G ( z ) \phi ).$ ; confidence 0.515

163. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130080/l13008018.png ; $-  c  _ { 1 } +  c _ { 3 } d ^ { \nu } \operatorname { log } ( \rho / | \omega | )$ ; confidence 0.515

164. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120050/d12005023.png ; $\mathbf{R} = \text{Dbx} _ { f }$ ; confidence 0.515

165. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120150/m12015013.png ; $\left( \begin{array} { c c c } { x _ { 11 } } & { \dots } & { x _ { 1 n} } \\ { \vdots } & { \square } & { \vdots } \\ { x _ { p 1 } } & { \dots } & { x _ { p n} } \end{array} \right),$ ; confidence 0.515

166. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520331.png ; $\{ f _ { j _ { 1 } } , \dots , f _ { j _ { m } } \}$ ; confidence 0.515

167. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f13029019.png ; $T _ { prod } \times T _ { m }$ ; confidence 0.515

168. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c13007095.png ; $f ( X ^ { \prime } , X ^ { \prime } Y ^ { \prime } ) = X ^ { \prime d } f ^ { \prime } ( X ^ { \prime } , Y ^ { \prime } )$ ; confidence 0.515

169. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130120/b13012073.png ; $\Delta _ { \varepsilon } ( t ) = ( 1 - | t | / \varepsilon ) _ { + }$ ; confidence 0.515

170. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013026.png ; $\phi$ ; confidence 0.515

171. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120200/w12020038.png ; $\int _ { \alpha } ^ { b } ( f ^ { ( r ) } ( x ) ) ^ { 2 } d x \leq 1$ ; confidence 0.515

172. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m13014080.png ; $\mathcal{D} \subset \mathbf{C} ^ { x }$ ; confidence 0.515

173. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120290/b12029014.png ; $\varepsilon _ { X } ^ { A } ( s ) = \hat { R } _ { s } ^ { A } ( x )$ ; confidence 0.515

174. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c12021073.png ; $d P _ { n } ^ { \prime } / d P_n$ ; confidence 0.515

175. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130270/a13027062.png ; $n \geq N_0$ ; confidence 0.515

176. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c12008032.png ; $\Delta \in C ^ { n \times n }$ ; confidence 0.515

177. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130060/i130060145.png ; $q ( x ) \nequiv 0$ ; confidence 0.515

178. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032110/d03211034.png ; $\tau \rightarrow \infty$ ; confidence 0.515

179. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130260/c13026021.png ; $( T , \phi )$ ; confidence 0.515

180. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006071.png ; $E _ { atom } ^ { TF } ( N _ { j } , Z _ { j } )$ ; confidence 0.515

181. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130020/e1300204.png ; $( \mathcal{C} ^ { \infty } ( \Omega ) ) ^ { N }$ ; confidence 0.515

182. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120040/i12004071.png ; $K ( s _ { r } )$ ; confidence 0.515

183. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075480/p07548012.png ; $\supset , \neg$ ; confidence 0.515

184. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120140/t12014022.png ; $k \in L ^ { 1 } ( \mathbf{R} )$ ; confidence 0.515

185. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130090/f13009035.png ; $U _ { N } ^ { ( k ) } ( x )$ ; confidence 0.514

186. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c12017022.png ; $R = \{ r _ { 1 } , \dots , r _ { m } \}$ ; confidence 0.514

187. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s13051075.png ; $j \in \{ 1 , \dots , m \}$ ; confidence 0.514

188. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120120/m12012085.png ; $g b = q  b $ ; confidence 0.514

189. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l12017024.png ; $K ^ { 2 } \swarrow L ^ { 3 } \searrow pt$ ; confidence 0.514

190. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120060/i12006019.png ; $P = ( X _ { P } , < _ { P } )$ ; confidence 0.514

191. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510128.png ; $v \in F ( u )$ ; confidence 0.514

192. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120020/c12002011.png ; $\hat{u}$ ; confidence 0.514

193. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290186.png ; $R ( I )$ ; confidence 0.514

194. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120260/c12026058.png ; $0 \leq i \leq J$ ; confidence 0.514

195. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130220/m13022060.png ; $Z ( a g a ^ { - 1 } , a h a ^ { - 1 } ; z ) = Z ( g , h ; z )$ ; confidence 0.514

196. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009048.png ; $f ( z , \tau ) / \tau$ ; confidence 0.514

197. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130060/b1300608.png ; $\| x + y \| \leq \| x \| + \| y \|$ ; confidence 0.514

198. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120040/i12004097.png ; $f = \int _ { \partial D } f \wedge K _ { q } - \overline { \partial _ { z } } \int f \wedge K _ { q- 1 } + \int _ { D } \overline { \partial } f \wedge K _ { q }$ ; confidence 0.514

199. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130190/c13019037.png ; $N ^ { \prime } / L ^ { \prime }$ ; confidence 0.514

200. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120300/s12030010.png ; $X ^ { G } \rightarrow X ^ { h G }$ ; confidence 0.514

201. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180153.png ; $\gamma : \mathcal{E} * \rightarrow \mathcal{E}$ ; confidence 0.514

202. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130060/b13006032.png ; $\Lambda = \operatorname { diag } \{ \lambda _ { 1 } , \ldots , \lambda _ { n } \}$ ; confidence 0.514

203. https://www.encyclopediaofmath.org/legacyimages/x/x120/x120030/x12003031.png ; $K ( \Omega ) = \int _ { \lambda \cap \Omega \neq \phi } d \omega ( \lambda ),$ ; confidence 0.514

204. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110660/b11066034.png ; $\operatorname{B M O}$ ; confidence 0.514

205. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130010/g13001025.png ; $x \mapsto x ^ { q }$ ; confidence 0.514

206. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120200/f12020020.png ; $v _ { n+1 } = A v _ { n}$ ; confidence 0.514

207. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130210/f1302106.png ; $L _ { C } ^ { 1 } ( G )$ ; confidence 0.513

208. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110080/d11008032.png ; $( L ^ { H } , w ^ { H } )$ ; confidence 0.513

209. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130300/a13030073.png ; $\mathcal{I} ( \theta )$ ; confidence 0.513

210. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120270/e12027013.png ; $p _ { m } ^ { \alpha , \beta }$ ; confidence 0.513

211. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120150/m12015063.png ; $\frac { \Gamma _ { p } [ \frac { \langle n + m + p - 1 \rangle} { 2 } ] } { \pi ^ { m p / 2 } \Gamma _ { p } ( ( n + p - 1 ) / 2 ) } | \Sigma | ^ { - m / 2 } | \Omega | ^ { - p / 2 } \times$ ; confidence 0.513

212. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120130/l120130104.png ; $a \in \tilde{\mathbf{Z}} ^ { n}$ ; confidence 0.513

213. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082060/r082060124.png ; $H _ { g }$ ; confidence 0.513

214. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b120210114.png ; $H ^ { i } ( a , M )$ ; confidence 0.513

215. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120040/c12004012.png ; $( f \in H _ { C } ( D ) )$ ; confidence 0.513

216. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120060/w12006095.png ; $\xi ( f g ) = \xi ( f ) g + f . \xi ( g ) + \xi ( f ) . \xi ( g ),$ ; confidence 0.513

217. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130270/a13027038.png ; $Q _ { n } y = \sum _ { i = 1 } ^ { n } ( y , \psi _ { i } ) \psi _ { i }$ ; confidence 0.513

218. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130030/o13003037.png ; $e _ { j } * e _ { k } = \sum _ { l = 1 } ^ { 8 } ( \sqrt { 3 } d _ { j k l } - f _ { j k l } ) e _ { l }.$ ; confidence 0.513

219. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130110/d13011048.png ; $\gamma_3$ ; confidence 0.513

220. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b13029037.png ; $A = B / ( X _ { 1 } , \dots , X _ { d } ) \cap ( Y _ { 1 } , \dots , Y _ { d } ),$ ; confidence 0.513

221. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130260/c13026012.png ; $\operatorname{supp} \phi ; \subset K$ ; confidence 0.513

222. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120010/b12001012.png ; $u ^ { \prime }$ ; confidence 0.513

223. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n06663094.png ; $v _ { i } > 0$ ; confidence 0.513

224. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120150/m12015037.png ; $f _ { Y } ( Y )$ ; confidence 0.513

225. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110080/d11008019.png ; $[ L : K ] = d . e . f. g$ ; confidence 0.512

226. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m13025057.png ; $\rho _ { \varepsilon }$ ; confidence 0.512

227. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120260/a12026075.png ; $y _ { \mathcal{C} }$ ; confidence 0.512

228. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120270/a1202708.png ; $\rho : \operatorname { Gal } ( N / K ) \rightarrow G l _ { n } ( C )$ ; confidence 0.512

229. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120150/p12015021.png ; $\hat { \chi } K$ ; confidence 0.512

230. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016019.png ; $U_i$ ; confidence 0.512

231. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120030/c1200304.png ; $J = [ a, b ] \subset \mathbf{R}$ ; confidence 0.512

232. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120290/d12029089.png ; $m = 1,2 , \dots$ ; confidence 0.512

233. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900145.png ; $Z = \cup _ { p = 1 } ^ { N _ { 0 } } Z _ { p }$ ; confidence 0.512

234. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030280/d0302804.png ; $\operatorname { lim } _ { n \rightarrow \infty } [ a _ { 0 } + \frac { n } { n + 1 } a _ { 1 } + \frac { n ( n - 1 ) } { ( n + 1 ) ( n + 2 ) } a _ { 2 } + ...$ ; confidence 0.512

235. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c120080117.png ; $\sum _ { i = 0 } ^ { r _ { 1 } } \sum _ { i = 0 } ^ { r _ { 2 } } a _ { i j } T _ { i j } = 0$ ; confidence 0.512

236. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120060/n12006032.png ; $T T$ ; confidence 0.512

237. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016080.png ; $y _ { i } = \Delta \text { sales } = ( \frac { c _ { 1 } } { 1 - \lambda } ) \frac { I } { k } ( \text { in market } i )$ ; confidence 0.512

238. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w130090105.png ; $\{ g _ { n } \} _ { n = 0 } ^ { \infty }$ ; confidence 0.512

239. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020130.png ; $F ^ { * } = p ^ { *  - 1} q ^ { * }$ ; confidence 0.512

240. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040586.png ; $\operatorname{Fm} _ { P }$ ; confidence 0.512

241. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120140/b12014045.png ; $s _ { i } ( z ) \alpha ( z ) \equiv r _ { i } ( z ) ( \operatorname { mod } b ( z ) )$ ; confidence 0.512

242. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m130140101.png ; $\operatorname { det } \| \frac { 1 } { b _ { j } ^ { l } } \| \neq 0$ ; confidence 0.511

243. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110310/c11031012.png ; $X _ { \lambda }$ ; confidence 0.511

244. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130040/w13004038.png ; $N = \frac { 1 } { | g | ^ { 2 } + 1 } ( 2 \operatorname { Re } g , 2 \operatorname { Im } g , | g | ^ { 2 } - 1 )$ ; confidence 0.511

245. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130020/h13002058.png ; $q \in \mathbf{N}$ ; confidence 0.511

246. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120210/t12021028.png ; $M _ { 1 } , M _ { 2 } , \ldots$ ; confidence 0.511

247. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023130/c023130157.png ; $\operatorname{tr}$ ; confidence 0.511

248. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180422.png ; $k = m + ( q _ { 1 } + \ldots + q _ { m } ) / 2$ ; confidence 0.511

249. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130070/i13007082.png ; $q \in L ^ { 2_0 }  (\mathbf{ R} ^ { 3 } )$ ; confidence 0.511

250. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180396.png ; $\operatorname { max } \{ q _ { 1 } + 2 , \ldots , q _ { m } + 2 \}$ ; confidence 0.511

251. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b130300164.png ; $D ( 2 n _ { 2 } )$ ; confidence 0.511

252. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120310/b12031084.png ; $\operatorname{lim sup}_R S _ { R } ^ { ( n - 1 ) / 2 } f ( x ) = + \infty$ ; confidence 0.511

253. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d12002071.png ; $R ^ { \prime } \subseteq R$ ; confidence 0.511

254. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120050/k12005048.png ; $\lambda = \operatorname { sup } \{ t \in \mathbf{Q} : H + t ( K _ { X } + B ) \text { is } f\square \text{ ample} \}$ ; confidence 0.511

255. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b12015095.png ; $P _ { 0 }$ ; confidence 0.510

256. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120260/a12026046.png ; $y \cong \tilde{y}$ ; confidence 0.510

257. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130190/f13019034.png ; $j = 0 , \dots , N - 1$ ; confidence 0.510

258. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120370/b12037024.png ; $g _ { 1 } , \ldots , g _ { k }$ ; confidence 0.510

259. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180281.png ; $\alpha \in C ^ { \infty } ( M )$ ; confidence 0.510

260. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096490/v09649073.png ; $X ^ { * * }$ ; confidence 0.510

261. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120190/e1201909.png ; $p + F . v $ ; confidence 0.510

262. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130170/w13017045.png ; $y _ { t+r} $ ; confidence 0.510

263. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040490/f04049011.png ; $\frac { \nu _ { 2 } } { \nu _ { 2 } - 2 } \quad \text { for } \nu _ { 2 } > 2$ ; confidence 0.510

264. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130030/h13003012.png ; $r ( z ) = p ( z ) / q ( z )$ ; confidence 0.510

265. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c12008059.png ; $\Delta ( A , E ) = \sum _ { i = 0 } ^ { n } \alpha _ { i , n - i }A ^ { i } E ^ { n - i } = 0.$ ; confidence 0.510

266. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120200/w1202004.png ; $R = I - \sum _ { \nu = 1 } ^ { n } \alpha _ { \nu } L _ { \nu }$ ; confidence 0.510

267. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120490/b12049055.png ; $m_0$ ; confidence 0.510

268. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130210/t13021047.png ; $a _ { N  / 2 + k}$ ; confidence 0.510

269. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006092.png ; $G _ { q , k }$ ; confidence 0.510

270. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120060/w12006020.png ; $T _ { A } U _ { i } = U _ { i } \times N ^ { m } \subset T _ { A } \mathbf{R} ^ { m }$ ; confidence 0.510

271. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130070/e13007037.png ; $M \leq N$ ; confidence 0.510

272. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240420.png ; $\zeta _ { 1 } , \ldots , \zeta _ { q }$ ; confidence 0.510

273. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020046.png ; $\operatorname { span } \{ e _ { i } , f _ { i } , h _ { i i } \}$ ; confidence 0.510

274. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060040/l06004024.png ; $| r _ { 1 } | \geq \ldots \geq | r _ { p } | > | r _ { p } + 1 | \geq \ldots \geq | r _ { n } |,$ ; confidence 0.510

275. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180204.png ; $\tau _ { p } : \otimes ^ { 4 } \mathcal{E} \rightarrow \otimes ^ { 4 } \mathcal{E}$ ; confidence 0.510

276. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120030/c12003013.png ; $K \subset G$ ; confidence 0.510

277. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840214.png ; $x \in \mathcal{K}$ ; confidence 0.510

278. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120160/e12016016.png ; $\int ( R _ { h} + \frac { 1 } { 2 } f ^ { - 2 } h ^ { \alpha \beta } \partial _ { \alpha } \epsilon\partial _ { \beta } \overline { \epsilon } ) d \mu _ { h}$ ; confidence 0.509

279. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120250/s12025020.png ; $E _ { n + 1 } ( x ) = T _ { n + 1 } ( x )$ ; confidence 0.509

280. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130060/i130060167.png ; $| F ( 2 x ) | \leq c \sigma ( x ) , | A ( x , y ) | \leq c \sigma ( \frac { x + y } { 2 } ),$ ; confidence 0.509

281. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120020/c12002048.png ; $ c _g = \int _ { 0 } ^ { \infty } g ( t ) \operatorname { log } \frac { 1 } { t } d t,$ ; confidence 0.509

282. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f12023029.png ; $\operatorname { Der } _ { k } \Omega ( M )$ ; confidence 0.509

283. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130070/z13007048.png ; $1 \in \mathbf{Z }( G / A )$ ; confidence 0.509

284. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130230/m1302308.png ; $Z = \sum _ { i = 1 } ^ { t } r _ { j } C _ { j }$ ; confidence 0.509

285. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130100/c13010032.png ; $(C)\int _ { A } f _ { 1 } d m \leq ( C ) \int _ { A } f_2 dm$ ; confidence 0.509

286. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120500/b12050034.png ; $\mathcal{Z} _ { 0 } \cap [ 0 , t$ ; confidence 0.509

287. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120130/h12013048.png ; $\omega : I \rightarrow X$ ; confidence 0.509

288. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120040/e1200403.png ; $\nabla ^ { 2 } ( g (. ; t ) ^ { * } f ( . ) ) = 0$ ; confidence 0.509

289. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120130/h12013052.png ; $T o p$ ; confidence 0.509

290. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130080/o1300805.png ; $q _ { m } ( x ) \in L _ { 1,1 } (\mathbf{ R} _ { + } ) : = \{ q : \int _ { 0 } ^ { \infty } x | q ( x ) | d x < \infty \}.$ ; confidence 0.509

291. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011050/a01105024.png ; $\mathcal{O} _ { \mathcal{S} }$ ; confidence 0.509

292. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t130130102.png ; $pd _ { \Lambda } T = n < \infty$ ; confidence 0.509

293. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120060/w12006022.png ; $T _ { A } : \mathcal{M} f \rightarrow \mathcal{M} f$ ; confidence 0.509

294. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s12023052.png ; $\frac { B _ { - } ( \delta + p - 1 ) / 2 ( \frac { 1 } { 4 } \Sigma T T ^ { \prime } ) } { \Gamma _ { p } [ \frac { 1 } { 2 } ( \delta + p - 1 ) ] },$ ; confidence 0.509

295. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t1200509.png ; $d f _ { X } : T V _ { X } \rightarrow T W _ { f  ( X )}$ ; confidence 0.509

296. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110205.png ; $( q_j , p _ { j } )$ ; confidence 0.508

297. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130010/l13001046.png ; $||S_{NB} ||< C N ^ { ( n - 1 ) / 2 }$ ; confidence 0.508

298. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120180/b12018030.png ; $\varphi ( x _ { 1 } , \dots , x _ { n } )$ ; confidence 0.508

299. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120300/c12030055.png ; $P = I - \sum _ { i = 1 } ^ { n } S _ { i } S _ { i } ^ { * }$ ; confidence 0.508

300. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520324.png ; $n , m = 0,1 , \dots ,$ ; confidence 0.508