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Difference between revisions of "User:Maximilian Janisch/latexlist/latex/NoNroff/15"

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80. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520309.png ; $( M , \sigma )$ ; confidence 0.992
 
80. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520309.png ; $( M , \sigma )$ ; confidence 0.992
  
81. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130050/e1300501.png ; $0 = L ( \alpha , \beta ) u = \{ \partial _ { x } \partial _ { y } - \frac { \alpha - \beta } { x - y } \partial _ { x } + \frac { \alpha ( \beta - 1 ) } { ( x - y ) ^ { 2 } } \} u = 0,$ ; confidence 0.992
+
81. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130050/e1300501.png ; $0 = L ( \alpha , \beta ) u = \left\{ \partial _ { x } \partial _ { y } - \frac { \alpha - \beta } { x - y } \partial _ { x } + \frac { \alpha ( \beta - 1 ) } { ( x - y ) ^ { 2 } } \right\} u = 0,$ ; confidence 0.992
  
 
82. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016630/b01663026.png ; $\partial K$ ; confidence 0.992
 
82. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016630/b01663026.png ; $\partial K$ ; confidence 0.992
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144. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110050/f11005061.png ; $k ( z )$ ; confidence 0.992
 
144. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110050/f11005061.png ; $k ( z )$ ; confidence 0.992
  
145. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007092.png ; $- A ( s ) ( \lambda - A ( s ) ) ^ { - 1 } \frac { d A ( s ) ^ { - 1 } } { d s } \| \leq$ ; confidence 0.992
+
145. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007092.png ; $\left. - A ( s ) ( \lambda - A ( s ) ) ^ { - 1 } \frac { d A ( s ) ^ { - 1 } } { d s } \right\| \leq$ ; confidence 0.992
  
 
146. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130530/s130530120.png ; $B N$ ; confidence 0.992
 
146. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130530/s130530120.png ; $B N$ ; confidence 0.992
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191. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120180/s12018018.png ; $( \alpha \beta ) ^ { * } = \beta ^ { * } \alpha ^ { * }$ ; confidence 0.991
 
191. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120180/s12018018.png ; $( \alpha \beta ) ^ { * } = \beta ^ { * } \alpha ^ { * }$ ; confidence 0.991
  
192. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c120170115.png ; $M = \operatorname { rank } M ( n ) = r$ ; confidence 0.991
+
192. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c120170115.png ; $\operatorname { rank }  M = \operatorname { rank } M ( n ) = r$ ; confidence 0.991
  
 
193. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130250/a13025018.png ; $L _ { 1 } = V$ ; confidence 0.991
 
193. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130250/a13025018.png ; $L _ { 1 } = V$ ; confidence 0.991
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217. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290173.png ; $i \neq \operatorname { dim } A$ ; confidence 0.991
 
217. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290173.png ; $i \neq \operatorname { dim } A$ ; confidence 0.991
  
218. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120160/d12016056.png ; $k , 1 \geq 1$ ; confidence 0.991
+
218. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120160/d12016056.png ; $k , \text{l} \geq 1$ ; confidence 0.991
  
 
219. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120060/w12006060.png ; $T _ { A } M \times T _ { A } M ^ { \prime }$ ; confidence 0.991
 
219. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120060/w12006060.png ; $T _ { A } M \times T _ { A } M ^ { \prime }$ ; confidence 0.991
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225. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110760/b11076044.png ; $d x$ ; confidence 0.991
 
225. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110760/b11076044.png ; $d x$ ; confidence 0.991
  
226. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g130030102.png ; $( x , \varepsilon ) \in \mathcal{R} \times ( 0 , \infty )$ ; confidence 0.991
+
226. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g130030102.png ; $( x , \varepsilon ) \in \mathbf{R} \times ( 0 , \infty )$ ; confidence 0.991
  
 
227. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130210/f13021027.png ; $B ( G )$ ; confidence 0.991
 
227. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130210/f13021027.png ; $B ( G )$ ; confidence 0.991
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244. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055070/k05507032.png ; $( \sqrt { - 5 } , \sqrt { - 7 } )$ ; confidence 0.991
 
244. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055070/k05507032.png ; $( \sqrt { - 5 } , \sqrt { - 7 } )$ ; confidence 0.991
  
245. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130210/f13021048.png ; $B ( G )$ ; confidence 0.991
+
245. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130210/f13021048.png ; $B ( G_{2} )$ ; confidence 0.991
  
 
246. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130130/c13013016.png ; $\frac { d K ( t ) } { d t } = F ( K ( t ) , L ( t ) ) - \lambda K ( t ) - C ( t ),$ ; confidence 0.991
 
246. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130130/c13013016.png ; $\frac { d K ( t ) } { d t } = F ( K ( t ) , L ( t ) ) - \lambda K ( t ) - C ( t ),$ ; confidence 0.991

Latest revision as of 17:10, 22 April 2020

List

1. a120050117.png ; $f \in C ( [ 0 , T ] ; X ) \cap L ^ { 1 } ( 0 , T ; Y )$ ; confidence 0.992

2. i12004089.png ; $0 \leq q \leq n$ ; confidence 0.992

3. n067520453.png ; $f = \sum _ { i = 1 } ^ { n } v _ { i } ^ { 2 }$ ; confidence 0.992

4. b1202001.png ; $H ^ { 2 }$ ; confidence 0.992

5. f120080128.png ; $B ( G ) = M _ { 0 } A ( G )$ ; confidence 0.992

6. l12013042.png ; $( X , 1 / f ( X ) )$ ; confidence 0.992

7. s13002039.png ; $l ( u ) = \infty$ ; confidence 0.992

8. h12003015.png ; $( y ^ { \alpha } )$ ; confidence 0.992

9. l12008018.png ; $M = \frac { \partial } { \partial x } + i x \frac { \partial } { \partial y }.$ ; confidence 0.992

10. b12003048.png ; $L ^ { 2 } ( \mathbf{R} )$ ; confidence 0.992

11. a12006010.png ; $L ( \mathbf{R} ^ { p } )$ ; confidence 0.992

12. a012460159.png ; $x ^ { 0 }$ ; confidence 0.992

13. r130070107.png ; $= \operatorname { lim } _ { n \rightarrow \infty } ( f _ { n } , f _ { n } ) = \| f \| ^ { 2 }.$ ; confidence 0.992

14. n12010055.png ; $\| Y _ { 1 } - Z _ { 1 } \| _ { G } \leq \| Y _ { 0 } - Z _ { 0 } \| _ { G }$ ; confidence 0.992

15. o13006048.png ; $A _ { 1 } A _ { 2 } = A _ { 2 } A _ { 1 }$ ; confidence 0.992

16. p12011014.png ; $5$ ; confidence 0.992

17. j12001065.png ; $\operatorname { det } J F ( x ) \neq 0$ ; confidence 0.992

18. b11026040.png ; $k = 2 m + 1$ ; confidence 0.992

19. f120110159.png ; $[ \mathcal{F} f ] ( \xi ) = G ( \xi - i \Gamma 0 )$ ; confidence 0.992

20. j1300103.png ; $\operatorname{Tait}( D )$ ; confidence 0.992

21. c13007072.png ; $d ( d - 1 ) / 2$ ; confidence 0.992

22. s130510143.png ; $\infty ( L _ { 2 } )$ ; confidence 0.992

23. b1202202.png ; $f ( t , x , v ) \geq 0$ ; confidence 0.992

24. a13012045.png ; $A G ( d , q )$ ; confidence 0.992

25. a01095019.png ; $t \rightarrow 0$ ; confidence 0.992

26. y12003029.png ; $L = \operatorname { det } ( V _ { \pm } )$ ; confidence 0.992

27. z13003065.png ; $f ( t ) = \int _ { 0 } ^ { 1 } ( Z f ) ( t , w ) d w , - \infty < t < \infty,$ ; confidence 0.992

28. t12007018.png ; $\Gamma _ { 0 } ( p ) +$ ; confidence 0.992

29. m13014021.png ; $j _ { n } ( \zeta ) - 1$ ; confidence 0.992

30. i130060182.png ; $f ( k ) = 1 + \int _ { 0 } ^ { \infty } A ( y ) e ^ { i k y } d y$ ; confidence 0.992

31. m12011027.png ; $K \times D ^ { 2 } \subset M$ ; confidence 0.992

32. w12021034.png ; $p \equiv 1 ( \operatorname { mod } 4 )$ ; confidence 0.992

33. b120040179.png ; $( r , 1 )$ ; confidence 0.992

34. g13003028.png ; $\{ \mathcal{A} ( \Omega ) : \Omega \text { open } \}$ ; confidence 0.992

35. c13015071.png ; $\mathcal{G} ^ { \infty } ( \Omega )$ ; confidence 0.992

36. i12004055.png ; $K ( s )$ ; confidence 0.992

37. c130160169.png ; $M ( w )$ ; confidence 0.992

38. w12017014.png ; $\{ \omega _ { \alpha } ( G ) \}$ ; confidence 0.992

39. v096900161.png ; $H ( \zeta )$ ; confidence 0.992

40. i130090199.png ; $u _ { \chi } ( T )$ ; confidence 0.992

41. w1202003.png ; $L _ { \nu } [ f ] = f ( x _ { \nu } )$ ; confidence 0.992

42. y12001033.png ; $R \in A \otimes _ { k } A$ ; confidence 0.992

43. r13007070.png ; $( f , f ) \geq 0$ ; confidence 0.992

44. b12009028.png ; $\operatorname { Re } p ( f , \tau ) > 0$ ; confidence 0.992

45. n12002046.png ; $D ( \mu ) = \Theta ( \mu )$ ; confidence 0.992

46. e1201004.png ; $R _ { C } ( x , t )$ ; confidence 0.992

47. b13027022.png ; $\lambda \notin \sigma ( \pi ( T ) )$ ; confidence 0.992

48. d03428051.png ; $m > 3$ ; confidence 0.992

49. b12051070.png ; $D = \{ x : f ( x ) \leq f ( x _ { 0 } ) \}$ ; confidence 0.992

50. h1201509.png ; $\operatorname { Re } C ( X )$ ; confidence 0.992

51. r13007036.png ; $H _ { + } \subset H _ { 0 }$ ; confidence 0.992

52. b12016048.png ; $p _ { 1 } = x _ { 1 } + x _ { 2 } , \quad p _ { 2 } = x _ { 3 } + x _ { 4 },$ ; confidence 0.992

53. a120050128.png ; $D ( S ) = Y$ ; confidence 0.992

54. g13003037.png ; $( v _ { \lambda } ) _ { \lambda \in \Lambda }$ ; confidence 0.992

55. p11015027.png ; $\varphi : G \rightarrow H$ ; confidence 0.992

56. e12019042.png ; $( P , L )$ ; confidence 0.992

57. j12001055.png ; $\operatorname { deg } F \leq d$ ; confidence 0.992

58. r13005044.png ; $1 \neq g \in G$ ; confidence 0.992

59. s13062084.png ; $f ( \lambda ) = d \rho ( \lambda ) / d \lambda$ ; confidence 0.992

60. s13066018.png ; $\lambda _ { n k } = \frac { 1 } { \sum _ { j = 0 } ^ { n - 1 } | \phi _ { j } ( \xi _ { n k } ) | ^ { 2 } } > 0.$ ; confidence 0.992

61. l120100116.png ; $| i \nabla + A ( x ) | ^ { 2 }$ ; confidence 0.992

62. m12023026.png ; $d f _ { t }$ ; confidence 0.992

63. c12029010.png ; $m , m ^ { \prime } \in M$ ; confidence 0.992

64. e12019012.png ; $Q ( x ) = \sigma ( x , x )$ ; confidence 0.992

65. g1200502.png ; $\psi ( x , y , t ) : \mathbf{R} ^ { n } \times \Omega \times \mathbf{R} ^ { + } \rightarrow \mathbf{R} ^ { N },$ ; confidence 0.992

66. a13001016.png ; $B ^ { A } \cong ( A ^ { * } \otimes B )$ ; confidence 0.992

67. a12010079.png ; $( I + \lambda A )$ ; confidence 0.992

68. b12009080.png ; $| f ( z ) | < 1$ ; confidence 0.992

69. b13017045.png ; $S _ { T }$ ; confidence 0.992

70. b130200102.png ; $\beta \neq - \alpha$ ; confidence 0.992

71. c130070146.png ; $k ( C ^ { * } )$ ; confidence 0.992

72. d1201904.png ; $C _ { 0 } ^ { \infty } ( \Omega ) \subset L _ { 2 } ( \Omega )$ ; confidence 0.992

73. d13017013.png ; $0 < \lambda _ { 1 } ( \Omega ) \leq \lambda _ { 2 } ( \Omega ) \leq \dots$ ; confidence 0.992

74. e12005039.png ; $h ^ { i } ( w ) = g ^ { i } ( w )$ ; confidence 0.992

75. d03292035.png ; $s = 0$ ; confidence 0.992

76. g1200302.png ; $= \sum _ { \nu = 1 } ^ { n } \alpha _ { \nu } f ( x _ { \nu } ) + \sum _ { \mu = 1 } ^ { n + 1 } \beta _ { \mu } f ( \xi _ { \mu } ),$ ; confidence 0.992

77. n13003066.png ; $\operatorname { Re } ( \lambda )$ ; confidence 0.992

78. w12009012.png ; $E = K ^ { n }$ ; confidence 0.992

79. f12021021.png ; $L _ { 0 } ( u ^ { \lambda } ) = \pi ( \lambda ) z ^ { \lambda }$ ; confidence 0.992

80. n067520309.png ; $( M , \sigma )$ ; confidence 0.992

81. e1300501.png ; $0 = L ( \alpha , \beta ) u = \left\{ \partial _ { x } \partial _ { y } - \frac { \alpha - \beta } { x - y } \partial _ { x } + \frac { \alpha ( \beta - 1 ) } { ( x - y ) ^ { 2 } } \right\} u = 0,$ ; confidence 0.992

82. b01663026.png ; $\partial K$ ; confidence 0.992

83. p07548010.png ; $\neg \neg p \supset p$ ; confidence 0.992

84. s12023026.png ; $\psi ( T T ^ { \prime } ) = \phi ( A ^ { \prime } T T ^ { \prime } A )$ ; confidence 0.992

85. e13007036.png ; $I = ( N , N + M ]$ ; confidence 0.992

86. a13004038.png ; $\Gamma \subset T$ ; confidence 0.992

87. b1302701.png ; $T = T ^ { * }$ ; confidence 0.992

88. o13001040.png ; $u ( x , \alpha , k )$ ; confidence 0.992

89. t12021043.png ; $t ( M _ { G } ; x , y )$ ; confidence 0.992

90. e03500063.png ; $M ( C , \epsilon )$ ; confidence 0.992

91. c12002059.png ; $\gamma \in \operatorname{SO} ( n )$ ; confidence 0.992

92. c130070198.png ; $r , s \in k ( C )$ ; confidence 0.992

93. b120040180.png ; $1 / r = 1 / p ^ { \prime } + 1 / 2$ ; confidence 0.992

94. o130010131.png ; $k = k _ { 0 } > 0$ ; confidence 0.992

95. w13014015.png ; $\operatorname { sinc } ( x ) = x ^ { - 1 } \operatorname { sin } x$ ; confidence 0.992

96. e120120100.png ; $\operatorname { log } \int f ( \theta , \phi ) d \phi = \operatorname { log } f ( \theta , \phi ) - \operatorname { log } f ( \phi | \theta ) =$ ; confidence 0.992

97. f13009067.png ; $R_{l} ( p ; k , n ) = p ^ { - 1 } q ^ { n + 1 } F _ { n + 2 } \left( \frac { p } { q } \right),$ ; confidence 0.992

98. e12015034.png ; $\mathcal{P} _ { j } ^ { i } =$ ; confidence 0.992

99. a130040231.png ; $E ( \Gamma , \Delta ) = \{ \epsilon _ { i } ( \gamma , \delta ) : \gamma \approx \delta \in \Gamma \approx \Delta , i \in I \}$ ; confidence 0.992

100. a12025098.png ; $k = ( n - 1 ) q + n$ ; confidence 0.992

101. f120080174.png ; $\varphi \in B _ { p } ( G )$ ; confidence 0.992

102. k05584021.png ; $\kappa = \operatorname { min } ( \operatorname { dim } \mathcal{K} _ { + } , \operatorname { dim } \mathcal{K} _ { - } ) < \infty$ ; confidence 0.992

103. b13022044.png ; $D ^ { \gamma } q = 0$ ; confidence 0.992

104. a130180177.png ; $\square ^ { \alpha } U$ ; confidence 0.992

105. c12019021.png ; $L ^ { 2 } ( M )$ ; confidence 0.992

106. q12001098.png ; $Y \in C$ ; confidence 0.992

107. a12023042.png ; $\Gamma \in C ^ { 2 }$ ; confidence 0.992

108. w1300408.png ; $\omega _ { j } = 2 \frac { \partial X _ { j } } { \partial z } d z$ ; confidence 0.992

109. a130070108.png ; $\alpha \geq 2$ ; confidence 0.992

110. f12015042.png ; $B \in \Phi ( Y , Z )$ ; confidence 0.992

111. b120400112.png ; $H ^ { k } ( G / B , \xi ) = 0$ ; confidence 0.992

112. c13025053.png ; $\overline { N } = \sum _ { k } N _ { k }$ ; confidence 0.992

113. l11003019.png ; $\mu \perp \nu$ ; confidence 0.992

114. m12016044.png ; $\Phi _ { 11 }$ ; confidence 0.992

115. f12009052.png ; $| f ( \zeta ) | \leq C _ { \epsilon } \operatorname { exp } ( \epsilon | \zeta | )$ ; confidence 0.992

116. m13003026.png ; $0 \mapsto 01$ ; confidence 0.992

117. m12012056.png ; $R C$ ; confidence 0.992

118. k05584078.png ; $\int _ { - \infty } ^ { \infty } | f | ^ { 2 } d | \sigma | < \infty$ ; confidence 0.992

119. i13006098.png ; $q ( x ) = 2 \frac { d } { d x } [ \Gamma _ { 2 x } ( 2 x , 0 ) - \Gamma _ { 2 x } ( 0,0 ) ].$ ; confidence 0.992

120. g130030103.png ; $f ^ { * } ( x , \varepsilon )$ ; confidence 0.992

121. s1200206.png ; $h : \mathbf{R} ^ { N } \times \mathbf{R} \rightarrow \mathbf{R}$ ; confidence 0.992

122. l12006090.png ; $\overline { \mathcal{H} } \supset \mathcal{H} \supset \mathcal{D}$ ; confidence 0.992

123. s12017020.png ; $X = \{ a , b \}$ ; confidence 0.992

124. j120020129.png ; $H _ { 0 } ^ { 1 } = \{ f \in H ^ { 1 } : f ( 0 ) = 0 \}$ ; confidence 0.992

125. c1104705.png ; $T M$ ; confidence 0.992

126. d12015026.png ; $( v , k , \lambda , n ) =$ ; confidence 0.992

127. t130050134.png ; $\sigma _ { \mathcal{B} } ( A )$ ; confidence 0.992

128. m13007028.png ; $[ m , s ]$ ; confidence 0.992

129. n067520289.png ; $A \simeq K _ { \rho }$ ; confidence 0.992

130. t120200194.png ; $1 > \delta _ { 1 } > \delta _ { 2 } \geq \rho$ ; confidence 0.992

131. d120230131.png ; $\{ F _ { i } \}$ ; confidence 0.992

132. x12002041.png ; $B ( L )$ ; confidence 0.992

133. a12008071.png ; $f \in L ^ { 2 } ( [ 0 , T ] ; L ^ { 2 } ( \Omega ) )$ ; confidence 0.992

134. d12014021.png ; $u = e ^ { i \alpha }$ ; confidence 0.992

135. f12009018.png ; $\mathcal{F} \mu ( \zeta ) = \mu ( \operatorname { exp } \zeta z ),$ ; confidence 0.992

136. b13029044.png ; $I ( A ) = d - 1$ ; confidence 0.992

137. s13051090.png ; $\mathcal{P} = \{ \mathbf{u} \in \mathbf{V} : \sigma ( \mathbf{u} ) = 0 \},$ ; confidence 0.992

138. j13004023.png ; $2_{1}$ ; confidence 0.992

139. e12002016.png ; $X \rightarrow X \vee X$ ; confidence 0.992

140. o13001061.png ; $L ^ { 2 } ( D _ { R } ^ { \prime } )$ ; confidence 0.992

141. c130070133.png ; $k [ C ] = k [ x , y ]$ ; confidence 0.992

142. o13006035.png ; $A _ { 2 } ^ { * } A _ { 1 } - A _ { 1 } ^ { * } A _ { 2 }$ ; confidence 0.992

143. e13005016.png ; $\Omega = \{ ( x , y ) \in \mathbf{R} ^ { 2 } : 0 < x < y < 1 \}$ ; confidence 0.992

144. f11005061.png ; $k ( z )$ ; confidence 0.992

145. a12007092.png ; $\left. - A ( s ) ( \lambda - A ( s ) ) ^ { - 1 } \frac { d A ( s ) ^ { - 1 } } { d s } \right\| \leq$ ; confidence 0.992

146. s130530120.png ; $B N$ ; confidence 0.992

147. l12003062.png ; $\varphi \in \operatorname{Hom}_{\mathcal{K}}( R ^ { * } , H ^ { * } B E )$ ; confidence 0.992

148. m12009051.png ; $N > n / 2$ ; confidence 0.992

149. b12017015.png ; $\mathcal{G} _ { \alpha } \mathcal{G} _ { \beta } = \mathcal{G} _ { \alpha + \beta }$ ; confidence 0.992

150. h04602011.png ; $y ( t ) = \int _ { 0 } ^ { t } g ( t - \tau ) x ( \tau ) d \tau.$ ; confidence 0.992

151. i13001044.png ; $\chi _ { \mu }$ ; confidence 0.992

152. b13030050.png ; $f ( m , n )$ ; confidence 0.992

153. p13012019.png ; $K \geq ( 5,2 )$ ; confidence 0.992

154. a11053020.png ; $F G$ ; confidence 0.992

155. h13006059.png ; $\xi \in X$ ; confidence 0.992

156. l12004092.png ; $\rho _ { R } = 0.125$ ; confidence 0.992

157. w13008038.png ; $Q \sim \infty$ ; confidence 0.992

158. i12001014.png ; $W _ { p } ^ { k } ( \Omega )$ ; confidence 0.992

159. c120210101.png ; $( \mathcal{X} , \mathcal{A} )$ ; confidence 0.992

160. e12011057.png ; $\mathbf{H} = - \nabla \varphi$ ; confidence 0.992

161. t12020062.png ; $M _ { 2 } ( k ) = 1$ ; confidence 0.992

162. n13006014.png ; $0 = \mu _ { 1 } ( \Omega ) \leq \mu _ { 2 } ( \Omega ) \leq \dots$ ; confidence 0.992

163. o0681703.png ; $\omega ^ { 2 } = \int _ { 0 } ^ { 1 } Z ^ { 2 } ( t ) d t,$ ; confidence 0.992

164. a01139025.png ; $M ( G )$ ; confidence 0.992

165. t12007031.png ; $= \frac { 1 } { q } + 196884 q + 21493760 q ^ { 2 } + 864299970 q ^ { 3 } +$ ; confidence 0.992

166. f13013013.png ; $E _ { 1 } \rightarrow E _ { 2 }$ ; confidence 0.992

167. i13007084.png ; $\alpha ^ { \prime } , \alpha \in M$ ; confidence 0.992

168. v096900156.png ; $f _ { p } \in L _ { 2 } ( Z _ { p } , \mu , H _ { p } )$ ; confidence 0.992

169. j12001054.png ; $\operatorname { det } J F = 1$ ; confidence 0.992

170. e120020104.png ; $Y , Z$ ; confidence 0.992

171. f11001053.png ; $y ^ { ( 2 ) } = x$ ; confidence 0.992

172. w120060103.png ; $A = F \mathbf{R}$ ; confidence 0.992

173. z13008057.png ; $\alpha \in \mathbf{N} _ { 0 }$ ; confidence 0.992

174. a13025027.png ; $\mathcal{L} = \mathcal{D} \oplus V$ ; confidence 0.992

175. m12023060.png ; $f _ { t , s } \rightarrow f$ ; confidence 0.992

176. d13011026.png ; $\gamma _ { i } \gamma _ { j } + \gamma _ { j } \gamma _ { i } = 0 , i \neq j , i , j = 1,2,3,4.$ ; confidence 0.992

177. i1300307.png ; $Y \rightarrow B$ ; confidence 0.992

178. h12011038.png ; $\operatorname { limsup } _ { k \rightarrow \infty } \left| \int _ { \Gamma } \frac { f ( \xi ) } { \xi ^ { k + 1 } } d \xi \right| ^ { 1 / k } \leq 1.$ ; confidence 0.992

179. m12016050.png ; $c = - 2 \psi ^ { \prime } ( 0 )$ ; confidence 0.992

180. l05705023.png ; $S \rightarrow S$ ; confidence 0.992

181. e120120104.png ; $\theta ^ { ( t + 1 ) }$ ; confidence 0.992

182. o13001065.png ; $\Gamma u = u _ { N } + h u$ ; confidence 0.992

183. d13018029.png ; $f J _ { E }$ ; confidence 0.992

184. d11022059.png ; $( m , m )$ ; confidence 0.992

185. f12019030.png ; $C _ { H } ( n ) = \{ 1 \}$ ; confidence 0.991

186. l12003063.png ; $T ^ { 0 } E$ ; confidence 0.991

187. t120200189.png ; $0 < \kappa < \pi / 2$ ; confidence 0.991

188. c12029058.png ; $Q \rightarrow P$ ; confidence 0.991

189. t12019010.png ; $C ( n , k , r )$ ; confidence 0.991

190. b01722033.png ; $K ( X )$ ; confidence 0.991

191. s12018018.png ; $( \alpha \beta ) ^ { * } = \beta ^ { * } \alpha ^ { * }$ ; confidence 0.991

192. c120170115.png ; $\operatorname { rank } M = \operatorname { rank } M ( n ) = r$ ; confidence 0.991

193. a13025018.png ; $L _ { 1 } = V$ ; confidence 0.991

194. l12015032.png ; $( T V , d )$ ; confidence 0.991

195. l11003078.png ; $\sigma ( M ( \mathcal{E} ) , L ( \mathcal{E} ) )$ ; confidence 0.991

196. q13003050.png ; $H ( \rho ) = \operatorname { Tr } \rho \operatorname { log } _ { 2 } ( \rho )$ ; confidence 0.991

197. w13004041.png ; $( g , \eta )$ ; confidence 0.991

198. t13007011.png ; $g ( e ^ { i t } ) = \rho ( \theta ( t ) ) e ^ { i \theta ( t ) } ( \forall t \in \mathbf{R} ),$ ; confidence 0.991

199. s12023096.png ; $X : = A Q \Rightarrow U : = Q$ ; confidence 0.991

200. w12017063.png ; $d \leq ( 5 l + 2 ) / 3$ ; confidence 0.991

201. t13014061.png ; $( v _ { i } \times v _ { j } )$ ; confidence 0.991

202. t13007021.png ; $t \mapsto \operatorname { log } \rho ( \theta ( t ) )$ ; confidence 0.991

203. d12018015.png ; $R ( K )$ ; confidence 0.991

204. c130070264.png ; $F = \nu _ { 1 } F _ { 1 }$ ; confidence 0.991

205. l120090114.png ; $\mu : A _ { 1 } \rightarrow A _ { 2 }$ ; confidence 0.991

206. b12052070.png ; $G ( x ) = F ^ { \prime } ( x _ { 0 } ) ^ { - 1 } F ( x )$ ; confidence 0.991

207. n067520403.png ; $\omega _ { k } = \operatorname { min } | ( Q , \Lambda ) |$ ; confidence 0.991

208. n12002015.png ; $\mu \in \mathcal{M} ( E )$ ; confidence 0.991

209. s12017049.png ; $f ( d ) = 3 | \{ i : d _ { i } = 1 \} | - 2 n$ ; confidence 0.991

210. z12001065.png ; $> 3$ ; confidence 0.991

211. v120020119.png ; $( p ^ { * } , q ^ { * } )$ ; confidence 0.991

212. b1200605.png ; $\Delta u + \epsilon \frac { 4 n ( n + 1 ) } { ( 1 + \epsilon ( x ^ { 2 } + y ^ { 2 } ) ) ^ { 2 } } u = 0,$ ; confidence 0.991

213. q12007059.png ; $q ^ { H \otimes H / 2 }$ ; confidence 0.991

214. e13006022.png ; $e ( f ) ( z ) ( y ) = f ( z , y )$ ; confidence 0.991

215. w1201903.png ; $\mathcal{H} = L ^ { 2 } ( \mathbf{R} ^ { 3 N } )$ ; confidence 0.991

216. a130240361.png ; $\mathcal{H} : \Theta = 0$ ; confidence 0.991

217. b130290173.png ; $i \neq \operatorname { dim } A$ ; confidence 0.991

218. d12016056.png ; $k , \text{l} \geq 1$ ; confidence 0.991

219. w12006060.png ; $T _ { A } M \times T _ { A } M ^ { \prime }$ ; confidence 0.991

220. p12017091.png ; $c d = d c$ ; confidence 0.991

221. k12005018.png ; $\mu : Y \rightarrow X$ ; confidence 0.991

222. l05700053.png ; $\lambda z ( ( z z ) z )$ ; confidence 0.991

223. b12022046.png ; $M ( u , \xi )$ ; confidence 0.991

224. a01076031.png ; $t \rightarrow \pm \infty$ ; confidence 0.991

225. b11076044.png ; $d x$ ; confidence 0.991

226. g130030102.png ; $( x , \varepsilon ) \in \mathbf{R} \times ( 0 , \infty )$ ; confidence 0.991

227. f13021027.png ; $B ( G )$ ; confidence 0.991

228. r13007090.png ; $0 = ( f , K ( x , y ) ) _ { H _ { 1 } } = f ( y )$ ; confidence 0.991

229. v12004015.png ; $\Delta ( G ) \leq \chi ^ { \prime } ( G ) \leq \Delta ( G ) + \mu ( G ).$ ; confidence 0.991

230. e12026055.png ; $F ( t , \nu )$ ; confidence 0.991

231. e12014037.png ; $f \in \Phi$ ; confidence 0.991

232. a11066029.png ; $f g$ ; confidence 0.991

233. v130050110.png ; $u _ { n } ( w ) = 0$ ; confidence 0.991

234. q12003042.png ; $L ( f ) = 1 \otimes f$ ; confidence 0.991

235. d0330606.png ; $A \subset \Omega$ ; confidence 0.991

236. e120190173.png ; $( h _ { 1 } , h _ { 2 } , p , W )$ ; confidence 0.991

237. l12010091.png ; $\gamma + n / 2$ ; confidence 0.991

238. d0302801.png ; $( V P )$ ; confidence 0.991

239. v12002066.png ; $Q \subset M _ { k }$ ; confidence 0.991

240. d12020010.png ; $\sigma \geq \sigma _ { 0 } > 0$ ; confidence 0.991

241. b11096054.png ; $\alpha ( x )$ ; confidence 0.991

242. s130620217.png ; $\beta > 1 / 2$ ; confidence 0.991

243. e12001093.png ; $( E , \mathfrak { M } )$ ; confidence 0.991

244. k05507032.png ; $( \sqrt { - 5 } , \sqrt { - 7 } )$ ; confidence 0.991

245. f13021048.png ; $B ( G_{2} )$ ; confidence 0.991

246. c13013016.png ; $\frac { d K ( t ) } { d t } = F ( K ( t ) , L ( t ) ) - \lambda K ( t ) - C ( t ),$ ; confidence 0.991

247. c12017090.png ; $ \operatorname { rank } M ( n + 1 ) = \operatorname { rank } M ( n )$ ; confidence 0.991

248. v13005072.png ; $Y ( u , x _ { 1 } ) Y ( v , x _ { 2 } ) \sim Y ( v , x _ { 2 } ) Y ( u , x _ { 1 } ),$ ; confidence 0.991

249. b1102604.png ; $( - \lambda , \rho \pm i \omega )$ ; confidence 0.991

250. v13011032.png ; $w ( m , l ) = \frac { d \Phi } { d z } = - \frac { i \Gamma } { 2 \pi } \left[ \operatorname { cotan } \frac { \pi z } { l } - \frac { 1 } { z - m l } \right] \equiv 0.$ ; confidence 0.991

251. a130070105.png ; $\sigma ^ { * } ( d ) < \alpha d$ ; confidence 0.991

252. k12012019.png ; $x \in ( - \infty , \infty )$ ; confidence 0.991

253. c12003035.png ; $h _ { K } \in L ^ { p } ( J )$ ; confidence 0.991

254. c130070203.png ; $\tau T = M ( T )$ ; confidence 0.991

255. c13015048.png ; $( u _ { \varepsilon } ) _ { \varepsilon > 0 }$ ; confidence 0.991

256. b12030067.png ; $( \eta , Y )$ ; confidence 0.991

257. b12009079.png ; $f \in B ( \beta )$ ; confidence 0.991

258. a1106304.png ; $m > 0$ ; confidence 0.991

259. f12010051.png ; $| \tau ( p ) | \leq 2 p ^ { 11 / 2 }$ ; confidence 0.991

260. a120070100.png ; $< 2 m$ ; confidence 0.991

261. q1300407.png ; $K \in [ 1 , \infty )$ ; confidence 0.991

262. l12004041.png ; $b _ { - 1 } = \frac { 1 } { 2 } c ( 1 + c ),$ ; confidence 0.991

263. m13001024.png ; $d _ { i } = c ( x _ { i } )$ ; confidence 0.991

264. b1201707.png ; $- \infty < \alpha < \infty$ ; confidence 0.991

265. s12026028.png ; $( L ^ { 2 } ) ^ { - } \supset ( L ^ { 2 } ) \supset ( L ^ { 2 } ) ^ { + }$ ; confidence 0.991

266. c12016029.png ; $\| A \| _ { 2 } = \| R ^ { T } R \| _ { 2 } = \| R \| _ { 2 } ^ { 2 }$ ; confidence 0.991

267. g12004094.png ; $u \in G ^ { s } ( U )$ ; confidence 0.991

268. s09067037.png ; $x = u ^ { - 1 } ( 0 )$ ; confidence 0.991

269. d130080136.png ; $\sigma ( F ^ { \prime } ( c ) )$ ; confidence 0.991

270. a01295056.png ; $p = 2$ ; confidence 0.991

271. c120010112.png ; $\partial E$ ; confidence 0.991

272. m12001039.png ; $T - C$ ; confidence 0.991

273. d12006020.png ; $H ^ { ( 1 ) } = Q ^ { + } Q ^ { - } = - D ^ { 2 } + u [ 1 ].$ ; confidence 0.991

274. m13022011.png ; $T _ { g } ( z ) = \sum _ { k = - 1 } ^ { \infty } \chi _ { k } ( g ) q ^ { k }$ ; confidence 0.991

275. d12023088.png ; $T ^ { - 1 } = L ( x ) L ^ { * } ( x ) - L ( y ) L ^ { * } ( y )$ ; confidence 0.991

276. c12008098.png ; $T _ { p q } = T _ { 10 } T _ { p - 1 , q } + T _ { 01 } T _ { p , q - 1 }$ ; confidence 0.991

277. c12002037.png ; $\{ A ^ { \alpha } \}$ ; confidence 0.991

278. p130070126.png ; $\delta ( z , w ) = \operatorname { inf } _ { f \in \mathcal{F} } \{ \operatorname { log } | \xi | : f ( \xi ) = z , f ( 0 ) = w \},$ ; confidence 0.991

279. a13013040.png ; $Q ^ { ( n ) } = \sum _ { j = 0 } ^ { n } Q _ { j } z ^ { n - j }.$ ; confidence 0.991

280. a13029031.png ; $P \rightarrow \Sigma$ ; confidence 0.991

281. a13032030.png ; $Y _ { i } = 2 X _ { i } - 1$ ; confidence 0.991

282. f130100140.png ; $G = \mathbf{T}$ ; confidence 0.991

283. l12019010.png ; $\lambda _ { j } + \overline { \lambda } _ { k } = 0$ ; confidence 0.991

284. d12016052.png ; $s \mapsto ( \mathcal{M} _ { s } f ) ( t )$ ; confidence 0.991

285. m06262079.png ; $( x , y ) \in Z$ ; confidence 0.991

286. a130240461.png ; $f ( t ) = \beta _ { 0 } + \beta _ { 1 } t + \ldots + \beta _ { k } t ^ { k }$ ; confidence 0.991

287. b12004056.png ; $s > 0$ ; confidence 0.991

288. l057000107.png ; $F = \lambda k x$ ; confidence 0.991

289. a130240437.png ; $( p \times q )$ ; confidence 0.991

290. b12001017.png ; $\frac { d ^ { 2 } u } { d t ^ { 2 } } = \operatorname { sin } ( u ) , \quad \frac { d ^ { 2 } v } { d t ^ { 2 } } = \operatorname { sinh } ( v ),$ ; confidence 0.991

291. t120140105.png ; $\sigma _ { e } ( T _ { \phi } ) = \phi ( \mathbf{T} )$ ; confidence 0.991

292. l12004042.png ; $b _ { 0 } = 1 - c ^ { 2 } , b _ { 1 } = - \frac { 1 } { 2 } c ( 1 - c ).$ ; confidence 0.991

293. h13005015.png ; $\int _ { - \infty } ^ { \infty } ( 1 + | x | ) | u ( x , 0 ) | d x < \infty$ ; confidence 0.991

294. b1203605.png ; $k _ { B } T$ ; confidence 0.991

295. v09604012.png ; $m + n \rightarrow \infty$ ; confidence 0.991

296. b12009066.png ; $f ( z ) = \left( \beta \int _ { 0 } ^ { z } h ( \xi ) \xi ^ { - 1 } g ( \xi ) ^ { \beta } d \xi \right) ^ { 1 / \beta }.$ ; confidence 0.991

297. j12002070.png ; $A _ { t } = 0$ ; confidence 0.991

298. k12007010.png ; $X ( s ) = 0 , X ^ { \prime } ( s ) = I.$ ; confidence 0.991

299. m13025032.png ; $\mathcal{M} ( \Omega )$ ; confidence 0.991

300. t120140152.png ; $ \operatorname { ind }T_{\Phi} = -\operatorname {wind} \operatorname {det} \Phi . $ ; confidence 0.991

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/NoNroff/15. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/NoNroff/15&oldid=45467