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3. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120270/a120270132.png ; $\operatorname { Tr } ( x ^ { 2 } )$ ; confidence 0.977
 
3. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120270/a120270132.png ; $\operatorname { Tr } ( x ^ { 2 } )$ ; confidence 0.977
  
4. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060020/l06002016.png ; $L ( x ) = x \operatorname { ln } 2 - \frac { 1 } { 2 } \sum _ { k = 1 } ^ { \infty } ( - 1 ) ^ { k - 1 } \frac { \operatorname { sin } 2 k x } { k ^ { 2 } }$ ; confidence 0.977
+
4. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060020/l06002016.png ; $L ( x ) = x \operatorname { ln } 2 - \frac { 1 } { 2 } \sum _ { k = 1 } ^ { \infty } ( - 1 ) ^ { k - 1 } \frac { \operatorname { sin } 2 k x } { k ^ { 2 } }.$ ; confidence 0.977
  
 
5. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017035.png ; $< 1$ ; confidence 0.977
 
5. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017035.png ; $< 1$ ; confidence 0.977
  
6. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120110/e1201106.png ; $\nabla \times \mathbf{H} - \frac { 1 } { c } \frac { \partial \mathbf{D} } { \partial t } = \frac { 1 } { c } \mathbf{J}$ ; confidence 1.000
+
6. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120110/e1201106.png ; $\nabla \times \mathbf{H} - \frac { 1 } { c } \frac { \partial \mathbf{D} } { \partial t } = \frac { 1 } { c } \mathbf{J}.$ ; confidence 1.000
  
 
7. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020199.png ; $( t - r ) : ( \Gamma _ { S ^ { n } } ) \rightarrow ( E ^ { n + 1 } \backslash 0 )$ ; confidence 0.977
 
7. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020199.png ; $( t - r ) : ( \Gamma _ { S ^ { n } } ) \rightarrow ( E ^ { n + 1 } \backslash 0 )$ ; confidence 0.977
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10. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c130070214.png ; $\mathfrak { D } ( P , x )$ ; confidence 0.977
 
10. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c130070214.png ; $\mathfrak { D } ( P , x )$ ; confidence 0.977
  
11. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130100/p13010021.png ; $P \mapsto P ( z ) , P \in \mathcal{P}$ ; confidence 1.000
+
11. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130100/p13010021.png ; $P \mapsto P ( z ) , P \in \mathcal{P}.$ ; confidence 1.000
  
 
12. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120020/e12002010.png ; $X \times X \rightarrow X$ ; confidence 0.977
 
12. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120020/e12002010.png ; $X \times X \rightarrow X$ ; confidence 0.977
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19. https://www.encyclopediaofmath.org/legacyimages/n/n130/n130060/n13006028.png ; $\mu _ { 1 } = 0 < \ldots < \mu _ { N }$ ; confidence 0.977
 
19. https://www.encyclopediaofmath.org/legacyimages/n/n130/n130060/n13006028.png ; $\mu _ { 1 } = 0 < \ldots < \mu _ { N }$ ; confidence 0.977
  
20. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r13007048.png ; $( u , B ( x , y ) ) _ { + } = ( u , A ^ { - 1 } B ) = u ( y )$ ; confidence 0.977
+
20. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r13007048.png ; $( u , B ( x , y ) ) _ { + } = ( u , A ^ { - 1 } B ) = u ( y ),$ ; confidence 0.977
  
 
21. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016079.png ; $c_1 / ( 1 - \lambda )$ ; confidence 1.000
 
21. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016079.png ; $c_1 / ( 1 - \lambda )$ ; confidence 1.000
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26. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110110/r11011011.png ; $P \cap P ^ { - 1 } = \{ e \}$ ; confidence 0.977
 
26. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110110/r11011011.png ; $P \cap P ^ { - 1 } = \{ e \}$ ; confidence 0.977
  
27. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046020/h04602044.png ; $\| R C ( 1 - P C ) ^ { - 1 } \| _ { \infty } < 1$ ; confidence 0.977
+
27. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046020/h04602044.png ; $\| R C ( 1 - P C ) ^ { - 1 } \| _ { \infty } < 1.$ ; confidence 0.977
  
 
28. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840390.png ; $\mathcal{K} = L _ { 2 } \oplus \mathcal{K} _ { 1 }$ ; confidence 1.000
 
28. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840390.png ; $\mathcal{K} = L _ { 2 } \oplus \mathcal{K} _ { 1 }$ ; confidence 1.000
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30. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120130/m120130133.png ; $L _ { 0 } = 0$ ; confidence 0.977
 
30. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120130/m120130133.png ; $L _ { 0 } = 0$ ; confidence 0.977
  
31. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t1202007.png ; $M _ { 3 } ( k ) = ( \sum _ { j = 1 } ^ { n } | b _ { j } | ^ { 2 } | z _ { j } | ^ { 2 k } ) ^ { 1 / 2 }$ ; confidence 0.977
+
31. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t1202007.png ; $M _ { 3 } ( k ) = \left( \sum _ { j = 1 } ^ { n } | b _ { j } | ^ { 2 } | z _ { j } | ^ { 2 k } \right) ^ { 1 / 2 }$ ; confidence 0.977
  
 
32. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026010/c026010514.png ; $( y _ { t } )$ ; confidence 0.977
 
32. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026010/c026010514.png ; $( y _ { t } )$ ; confidence 0.977
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34. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130060/e13006013.png ; $W ( C , U )$ ; confidence 1.000
 
34. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130060/e13006013.png ; $W ( C , U )$ ; confidence 1.000
  
35. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w13008010.png ; $\theta _ { i } = \kappa _ { i } + \omega _ { i } + \hat { \theta } _ { i }$ ; confidence 0.977
+
35. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w13008010.png ; $\theta _ { i } = \kappa _ { i } + \omega _ { i } + \widehat { \theta } _ { i }$ ; confidence 0.977
  
 
36. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g1300208.png ; $\operatorname { log } \alpha = i \pi$ ; confidence 0.977
 
36. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g1300208.png ; $\operatorname { log } \alpha = i \pi$ ; confidence 0.977
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42. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h120120119.png ; $\partial _ { \infty }$ ; confidence 0.977
 
42. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h120120119.png ; $\partial _ { \infty }$ ; confidence 0.977
  
43. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f12023087.png ; $D = L _ { K } + i _ { \cal L }.$ ; confidence 1.000
+
43. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f12023087.png ; $D = \mathcal{L} _ { K } + i _ { L }.$ ; confidence 1.000
  
 
44. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130020/k13002041.png ; $= \operatorname { corr } [ \operatorname { sign } ( X _ { 1 } - X _ { 2 } ) , \operatorname { sign } ( Y _ { 1 } - Y _ { 2 } ) ].$ ; confidence 1.000
 
44. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130020/k13002041.png ; $= \operatorname { corr } [ \operatorname { sign } ( X _ { 1 } - X _ { 2 } ) , \operatorname { sign } ( Y _ { 1 } - Y _ { 2 } ) ].$ ; confidence 1.000
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47. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120040/b120040183.png ; $x ^ { * } \in L _ { \infty }$ ; confidence 0.977
 
47. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120040/b120040183.png ; $x ^ { * } \in L _ { \infty }$ ; confidence 0.977
  
48. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120060/i12006018.png ; $\operatorname { Idim } ( P ) \leq \operatorname { dim } ( P )$ ; confidence 1.000
+
48. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120060/i12006018.png ; $\operatorname { Idim } ( P ) \leq \operatorname { dim } ( P ).$ ; confidence 1.000
  
 
49. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i130090208.png ; $L ( k ^ { \prime } )$ ; confidence 0.977
 
49. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i130090208.png ; $L ( k ^ { \prime } )$ ; confidence 0.977
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58. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016048.png ; $g ( W )$ ; confidence 0.977
 
58. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016048.png ; $g ( W )$ ; confidence 0.977
  
59. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120170/f12017024.png ; $^* A_i$ ; confidence 1.000
+
59. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120170/f12017024.png ; $* A_i$ ; confidence 1.000
  
 
60. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110030/l11003048.png ; $L ( \mathcal{E} )$ ; confidence 1.000
 
60. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110030/l11003048.png ; $L ( \mathcal{E} )$ ; confidence 1.000
  
61. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007091.png ; $| A ( t ) ( \lambda - A ( t ) ) ^ { - 1 } \frac { d A ( t ) ^ { - 1 } } { d t } +$ ; confidence 0.977  
+
61. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007091.png ; $|\left A ( t ) ( \lambda - A ( t ) ) ^ { - 1 } \frac { d A ( t ) ^ { - 1 } } { d t } + \right.$ ; confidence 0.977  
 
NOTE: it looks like a part of the formula is missing
 
NOTE: it looks like a part of the formula is missing
  
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67. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080165.png ; $\Pi _ { 1 } ( \Sigma _ { g } , z _ { 0 } )$ ; confidence 0.977
 
67. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080165.png ; $\Pi _ { 1 } ( \Sigma _ { g } , z _ { 0 } )$ ; confidence 0.977
  
68. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o130060180.png ; $( \xi _ { 1 } \frac { \partial } { \partial t _ { 1 } } + \xi _ { 2 } \frac { \partial } { \partial t _ { 2 } } ) \langle f , f \rangle _ { \mathcal{H} } =$ ; confidence 1.000
+
68. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o130060180.png ; $\left( \xi _ { 1 } \frac { \partial } { \partial t _ { 1 } } + \xi _ { 2 } \frac { \partial } { \partial t _ { 2 } } \right) \langle f , f \rangle _ { \mathcal{H} } =$ ; confidence 1.000
  
 
69. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w13008087.png ; $\infty _+$ ; confidence 1.000
 
69. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w13008087.png ; $\infty _+$ ; confidence 1.000
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80. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080109.png ; $T _ { n } = \delta _ { n , 1 }$ ; confidence 0.976
 
80. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080109.png ; $T _ { n } = \delta _ { n , 1 }$ ; confidence 0.976
  
81. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120160/e12016047.png ; $J ^ { \prime } = \left( \begin{array} { c c } { f \omega ^ { 2 } - f ^ { - 1 } r ^ { 2 } } & { - f \omega } \\ { - f \omega } & { f } \end{array} \right)$ ; confidence 0.976
+
81. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120160/e12016047.png ; $J ^ { \prime } = \left( \begin{array} { c c } { f \omega ^ { 2 } - f ^ { - 1 } r ^ { 2 } } & { - f \omega } \\ { - f \omega } & { f } \end{array} \right).$ ; confidence 0.976
  
 
82. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130070/b13007064.png ; $b \mapsto b$ ; confidence 0.976
 
82. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130070/b13007064.png ; $b \mapsto b$ ; confidence 0.976
  
83. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120190/t12019020.png ; $t ( k , r ) \leq ( \frac { r - 1 } { k - 1 } ) ^ { r - 1 }$ ; confidence 0.976
+
83. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120190/t12019020.png ; $t ( k , r ) \leq \left( \frac { r - 1 } { k - 1 } \right) ^ { r - 1 }$ ; confidence 0.976
  
 
84. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120140/t120140123.png ; $\operatorname{wind} \phi$ ; confidence 1.000
 
84. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120140/t120140123.png ; $\operatorname{wind} \phi$ ; confidence 1.000
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110. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110010/f11001010.png ; $z x \leq y z$ ; confidence 0.976
 
110. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110010/f11001010.png ; $z x \leq y z$ ; confidence 0.976
  
111. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060040/l06004021.png ; $\psi _ { p - 2 } ( z ) f ( z ) + \phi _ { p - 1 } ( z ) g _ { k } ( z )$ ; confidence 0.976
+
111. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060040/l06004021.png ; $\psi _ { p - 2 } ( z ) f ( z ) + \phi _ { p - 1 } ( z ) g _ { k } ( z ),$ ; confidence 0.976
  
 
112. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130140/p13014063.png ; $U _ { \rho }$ ; confidence 0.976
 
112. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130140/p13014063.png ; $U _ { \rho }$ ; confidence 0.976
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118. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130080/d13008085.png ; $E _ { z _ { 0 } } ( x , R )$ ; confidence 0.976
 
118. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130080/d13008085.png ; $E _ { z _ { 0 } } ( x , R )$ ; confidence 0.976
  
119. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013051.png ; $F _ { j k } = \frac { \partial } { \partial t _ { j } } \frac { \partial } { \partial t _ { k } } \operatorname { log } ( \tau )$ ; confidence 0.976
+
119. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013051.png ; $F _ { j k } = \frac { \partial } { \partial t _ { j } } \frac { \partial } { \partial t _ { k } } \operatorname { log } ( \tau ).$ ; confidence 0.976
  
 
120. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130040/f13004017.png ; $d _ { k } = \operatorname { det } ( 1 - f _ { t } ^ { \prime } ( x _ { k } ) ) ^ { 1 / 2 }$ ; confidence 0.976
 
120. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130040/f13004017.png ; $d _ { k } = \operatorname { det } ( 1 - f _ { t } ^ { \prime } ( x _ { k } ) ) ^ { 1 / 2 }$ ; confidence 0.976
  
121. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b12022031.png ; $Q ( f ) = M _ { f } - f$ ; confidence 0.976
+
121. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b12022031.png ; $Q ( f ) = M _ { f } - f,$ ; confidence 0.976
  
 
122. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e120120108.png ; $\operatorname { log } \int f ( \theta ^ { ( t + 1 ) } , \phi ) d \phi \geq \operatorname { log } \int f ( \theta ^ { (  t  ) } , \phi ) d \phi$ ; confidence 1.000
 
122. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e120120108.png ; $\operatorname { log } \int f ( \theta ^ { ( t + 1 ) } , \phi ) d \phi \geq \operatorname { log } \int f ( \theta ^ { (  t  ) } , \phi ) d \phi$ ; confidence 1.000
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131. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a1300708.png ; $\sigma ( n ) \geq 2 n$ ; confidence 0.976
 
131. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a1300708.png ; $\sigma ( n ) \geq 2 n$ ; confidence 0.976
  
132. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340203.png ; $SH ^ { * } ( M , \omega )$ ; confidence 0.976
+
132. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340203.png ; $\operatorname{SH} ^ { * } ( M , \omega )$ ; confidence 0.976
  
 
133. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012930/a01293050.png ; $u ( x )$ ; confidence 0.976
 
133. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012930/a01293050.png ; $u ( x )$ ; confidence 0.976
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134. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130210/d1302104.png ; $G ( x , \alpha )$ ; confidence 0.976
 
134. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130210/d1302104.png ; $G ( x , \alpha )$ ; confidence 0.976
  
135. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130050/c13005032.png ; $\operatorname{Aut} \Gamma = G H$ ; confidence 1.000
+
135. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130050/c13005032.png ; $\operatorname{Aut} \Gamma = GH,$ ; confidence 1.000
  
136. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130050/w13005020.png ; $l \geq k + 1$ ; confidence 1.000
+
136. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130050/w13005020.png ; $\text{l} \geq k + 1$ ; confidence 1.000
  
 
137. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g13002033.png ; $f _ { i } ( w ) \in K$ ; confidence 0.976
 
137. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g13002033.png ; $f _ { i } ( w ) \in K$ ; confidence 0.976
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149. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130590/s13059036.png ; $Q _ { 0 } ( z ) = 1$ ; confidence 0.976
 
149. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130590/s13059036.png ; $Q _ { 0 } ( z ) = 1$ ; confidence 0.976
  
150. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007017.png ; $u ( 0 ) = u _ { 0 } \in \overline { D ( A ( 0 ) ) }$ ; confidence 0.976
+
150. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007017.png ; $u ( 0 ) = u _ { 0 } \in \overline { D ( A ( 0 ) ) },$ ; confidence 0.976
  
 
151. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g13006051.png ; $G _ { i } ( A )$ ; confidence 0.976
 
151. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g13006051.png ; $G _ { i } ( A )$ ; confidence 0.976
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166. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032770/d03277019.png ; $L _ { 2 } ( \sigma )$ ; confidence 0.975
 
166. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032770/d03277019.png ; $L _ { 2 } ( \sigma )$ ; confidence 0.975
  
167. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120080/i12008087.png ; $\lambda _ { \pm } = \operatorname { exp } ( \frac { J } { k _ { B } T } ) \operatorname { cosh } ( \frac { H } { k _ { B } T } ) \pm$ ; confidence 0.975 NOTE: il looks like a part of the formula is missing
+
167. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120080/i12008087.png ; $\lambda _ { \pm } = \operatorname { exp } \left( \frac { J } { k _ { B } T } \right) \operatorname { cosh } \right( \frac { H } { k _ { B } T } \right) \pm$ ; confidence 0.975 NOTE: il looks like a part of the formula is missing
  
 
168. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o13001023.png ; $A ( \alpha ^ { \prime } , \alpha , - k ) = \overline { A ( \alpha ^ { \prime } , \alpha , - k ) }$ ; confidence 0.975
 
168. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o13001023.png ; $A ( \alpha ^ { \prime } , \alpha , - k ) = \overline { A ( \alpha ^ { \prime } , \alpha , - k ) }$ ; confidence 0.975
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172. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240186.png ; $\flat$ ; confidence 1.000
 
172. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240186.png ; $\flat$ ; confidence 1.000
  
173. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130080/c13008010.png ; $\sigma _ { \mathfrak { P } } = [ \frac { L / K } { \mathfrak { P } } ]$ ; confidence 0.975
+
173. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130080/c13008010.png ; $\sigma _ { \mathfrak { P } } = \left[ \frac { L / K } { \mathfrak { P } } \right]$ ; confidence 0.975
  
 
174. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054091.png ; $K _ { 2 } \mathbf{R}$ ; confidence 1.000
 
174. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054091.png ; $K _ { 2 } \mathbf{R}$ ; confidence 1.000
Line 386: Line 386:
 
192. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b11022043.png ; $\Lambda ( M , s ) = \varepsilon ( M , s ) \Lambda ( M , w + 1 - s )$ ; confidence 0.975
 
192. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b11022043.png ; $\Lambda ( M , s ) = \varepsilon ( M , s ) \Lambda ( M , w + 1 - s )$ ; confidence 0.975
  
193. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c120210121.png ; $\mathcal{L} [ \Delta _ { n } ( \theta ) | P _ { n , \theta } ] \Rightarrow N ( 0 , \Gamma ( \theta ) )$ ; confidence 1.000
+
193. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c120210121.png ; $\mathcal{L} [ \Delta _ { n } ( \theta ) | P _ { n , \theta } ] \Rightarrow N ( 0 , \Gamma ( \theta ) ),$ ; confidence 1.000
  
194. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120170/m12017016.png ; $\operatorname { Tr } ( X _ { 1 } ) + \ldots + \operatorname { Tr } ( X _ { n } ) = - \operatorname { Tr } ( A _ { 1 } )$ ; confidence 0.975
+
194. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120170/m12017016.png ; $\operatorname { Tr } ( X _ { 1 } ) + \ldots + \operatorname { Tr } ( X _ { n } ) = - \operatorname { Tr } ( A _ { 1 } ),$ ; confidence 0.975
  
 
195. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130170/b13017027.png ; $V _ { t } = \phi _ { t } S _ { t } + \psi _ { t } B _ { t }$ ; confidence 0.975
 
195. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130170/b13017027.png ; $V _ { t } = \phi _ { t } S _ { t } + \psi _ { t } B _ { t }$ ; confidence 0.975
  
196. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120010/b12001020.png ; $\frac { d u } { d t } - i \frac { d v } { d t } = 2 e ^ { i \lambda } \operatorname { sin } ( \frac { 1 } { 2 } ( u + i v ) )$ ; confidence 0.975
+
196. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120010/b12001020.png ; $\frac { d u } { d t } - i \frac { d v } { d t } = 2 e ^ { i \lambda } \operatorname { sin } \left( \frac { 1 } { 2 } ( u + i v ) \right)$ ; confidence 0.975
  
 
197. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240167.png ; $\sum \alpha _ { i } = 0$ ; confidence 0.975
 
197. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240167.png ; $\sum \alpha _ { i } = 0$ ; confidence 0.975
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201. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120140/l12014025.png ; $p ( t ) , q ( t ) \in \mathbf{F} [ t ]$ ; confidence 0.975
 
201. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120140/l12014025.png ; $p ( t ) , q ( t ) \in \mathbf{F} [ t ]$ ; confidence 0.975
  
202. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l12003095.png ; $H ^ { * } E X$ ; confidence 0.975
+
202. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l12003095.png ; $H ^ { *_{E}} X$ ; confidence 0.975
  
 
203. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057050/l057050187.png ; $M _ { G }$ ; confidence 0.975
 
203. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057050/l057050187.png ; $M _ { G }$ ; confidence 0.975
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211. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120240/s12024051.png ; $\varepsilon _ { i } \rightarrow 0$ ; confidence 0.975
 
211. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120240/s12024051.png ; $\varepsilon _ { i } \rightarrow 0$ ; confidence 0.975
  
212. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130280/a13028015.png ; $\operatorname { agm } ( 1 , \sqrt { 2 } ) ^ { - 1 } = ( 2 \pi ) ^ { - 3 / 2 } \Gamma ( \frac { 1 } { 4 } ) ^ { 2 } = 0.83462684\dots$ ; confidence 1.000
+
212. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130280/a13028015.png ; $\operatorname { agm } ( 1 , \sqrt { 2 } ) ^ { - 1 } = ( 2 \pi ) ^ { - 3 / 2 } \Gamma \left( \frac { 1 } { 4 } \right) ^ { 2 } = 0.83462684\dots$ ; confidence 1.000
  
 
213. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130060/h13006027.png ; $D \cap D ^ { \prime }$ ; confidence 0.975
 
213. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130060/h13006027.png ; $D \cap D ^ { \prime }$ ; confidence 0.975
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220. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m1302506.png ; $\langle f u , \varphi \rangle = \langle u , f \varphi \rangle$ ; confidence 0.975
 
220. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m1302506.png ; $\langle f u , \varphi \rangle = \langle u , f \varphi \rangle$ ; confidence 0.975
  
221. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120030/t12003023.png ; $\zeta = \xi + i \eta = \Phi ( z ) = \int ^ { z } \sqrt { \varphi ( z ) } d z$ ; confidence 0.975
+
221. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120030/t12003023.png ; $\zeta = \xi + i \eta = \Phi ( z ) = \int ^ { z } \sqrt { \varphi ( z ) } d z.$ ; confidence 0.975
  
 
222. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120060/k12006038.png ; $h ^ { i } ( K _ { X } \otimes L ) = 0$ ; confidence 0.975
 
222. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120060/k12006038.png ; $h ^ { i } ( K _ { X } \otimes L ) = 0$ ; confidence 0.975
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224. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t13005042.png ; $\Lambda = \oplus _ { k = 1 } ^ { n } \Lambda ^ { k }$ ; confidence 0.975
 
224. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t13005042.png ; $\Lambda = \oplus _ { k = 1 } ^ { n } \Lambda ^ { k }$ ; confidence 0.975
  
225. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055780/k0557805.png ; $f ( x ) \operatorname { ln } x \in L ( 0 , \frac { 1 } { 2 } ) , \quad f ( x ) \sqrt { x } \in L ( \frac { 1 } { 2 } , \infty )$ ; confidence 0.975
+
225. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055780/k0557805.png ; $f ( x ) \operatorname { ln } x \in L \left( 0 , \frac { 1 } { 2 } \right) , \quad f ( x ) \sqrt { x } \in L \left( \frac { 1 } { 2 } , \infty \right),$ ; confidence 0.975
  
 
226. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130060/i130060147.png ; $0 \leq b < 1$ ; confidence 0.975
 
226. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130060/i130060147.png ; $0 \leq b < 1$ ; confidence 0.975
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233. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120130/t1201304.png ; $\Lambda = \Lambda _ { i , j } = \delta _ { i + 1 , j }$ ; confidence 0.975
 
233. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120130/t1201304.png ; $\Lambda = \Lambda _ { i , j } = \delta _ { i + 1 , j }$ ; confidence 0.975
  
234. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120080/i12008093.png ; $m = \frac { \operatorname { sinh } ( \frac { H } { k _ { B } T } ) } { [ \operatorname { sinh } ^ { 2 } ( \frac { H } { k _ { B } T } ) + \operatorname { exp } ( - \frac { 4 J } { k _ { B } T } ) ] ^ { 1 / 2 } }$ ; confidence 0.975
+
234. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120080/i12008093.png ; $m = \frac { \operatorname { sinh } \left( \frac { H } { k _ { B } T } \right) } { [ \operatorname { sinh } ^ { 2 } \left( \frac { H } { k _ { B } T } \right) + \operatorname { exp } \left( - \frac { 4 J } { k _ { B } T } \right) ] ^ { 1 / 2 } }.$ ; confidence 0.975
  
 
235. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120020/q12002038.png ; $( m , u ) \mapsto u ^ { * } m u$ ; confidence 0.975
 
235. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120020/q12002038.png ; $( m , u ) \mapsto u ^ { * } m u$ ; confidence 0.975
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236. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012970/a012970109.png ; $2 \pi / n$ ; confidence 0.975
 
236. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012970/a012970109.png ; $2 \pi / n$ ; confidence 0.975
  
237. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130070/v13007056.png ; $k q ^ { \prime } s \frac { d } { d s } [ q ^ { \prime } s \frac { d \theta } { d s } ] + \operatorname { cos } \theta - q ^ { \prime } = 0$ ; confidence 0.975
+
237. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130070/v13007056.png ; $k q ^ { \prime } s \frac { d } { d s } \left[ q ^ { \prime } s \frac { d \theta } { d s } \right] + \operatorname { cos } \theta - q ^ { \prime } = 0,$ ; confidence 0.975
  
 
238. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090223.png ; $V ^ { * } = \operatorname { Hom } _ { K } ( V , K )$ ; confidence 0.975
 
238. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090223.png ; $V ^ { * } = \operatorname { Hom } _ { K } ( V , K )$ ; confidence 0.975
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239. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f130290162.png ; $( f , \phi ) : ( X , L , \mathcal{T} ) \rightarrow ( Y , M , \mathcal{S} )$ ; confidence 1.000
 
239. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f130290162.png ; $( f , \phi ) : ( X , L , \mathcal{T} ) \rightarrow ( Y , M , \mathcal{S} )$ ; confidence 1.000
  
240. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130580/s13058017.png ; $V = 2 \xi _ { l } ^ { 0 } \xi _ { r } ^ { 0 } \operatorname { sin } ( \varepsilon _ { l } - \varepsilon _ { r } )$ ; confidence 0.975
+
240. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130580/s13058017.png ; $V = 2 \xi _ { l } ^ { 0 } \xi _ { r } ^ { 0 } \operatorname { sin } ( \varepsilon _ { l } - \varepsilon _ { r } ).$ ; confidence 0.975
  
241. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032014.png ; $[ x , ]$ ; confidence 0.975
+
241. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032014.png ; $[ x , . ]$ ; confidence 0.975
  
242. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030240/d0302406.png ; $= \beta _ { 0 } + \frac { t ^ { 2 } \beta _ { 2 } } { 2 } + \ldots + \frac { t ^ { r } \beta _ { r } } { r ! } + \gamma ( t ) t ^ { r }$ ; confidence 0.975
+
242. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030240/d0302406.png ; $= \beta _ { 0 } + \frac { t ^ { 2 } \beta _ { 2 } } { 2 } + \ldots + \frac { t ^ { r } \beta _ { r } } { r ! } + \gamma ( t ) t ^ { r },$ ; confidence 0.975
  
243. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006078.png ; $l > 1$ ; confidence 1.000
+
243. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006078.png ; $\text{l} > 1$ ; confidence 1.000
  
244. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c1201707.png ; $\gamma _ { i j } = \int z ^ { i } z ^ { j } d \mu , 0 \leq i + j \leq 2 n$ ; confidence 0.975
+
244. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c1201707.png ; $\gamma _ { i j } = \int \overline{z} ^ { i } z ^ { j } d \mu , 0 \leq i + j \leq 2 n;$ ; confidence 0.975
  
 
245. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009036.png ; $\operatorname { Re } p _ { 3 } ( \xi , \tau ) > 0$ ; confidence 0.975
 
245. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009036.png ; $\operatorname { Re } p _ { 3 } ( \xi , \tau ) > 0$ ; confidence 0.975
  
246. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130260/b13026030.png ; $\sum _ { x \in f ^ { - 1 } ( y ) } \operatorname { sign } \operatorname { det } f ^ { \prime } ( x )$ ; confidence 0.975
+
246. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130260/b13026030.png ; $\sum _ { x \in f ^ { - 1 } ( y ) } \operatorname { sign } \operatorname { det } f ^ { \prime } ( x ),$ ; confidence 0.975
  
 
247. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052800/i052800348.png ; $r \geq 3$ ; confidence 1.000
 
247. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052800/i052800348.png ; $r \geq 3$ ; confidence 1.000
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248. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130100/t13010030.png ; $\cal ( X , Y )$ ; confidence 1.000
 
248. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130100/t13010030.png ; $\cal ( X , Y )$ ; confidence 1.000
  
249. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130120/b13012011.png ; $g ( t ) \sim \sum _ { n = - \infty } ^ { \infty } b _ { n } e ^ { i n t } , b _ { 0 } = 0$ ; confidence 0.975
+
249. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130120/b13012011.png ; $g ( t ) \sim \sum _ { n = - \infty } ^ { \infty } b _ { n } e ^ { i n t } , b _ { 0 } = 0,$ ; confidence 0.975
  
250. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130110/m13011052.png ; $\mathbf {v}= \frac { D \mathbf{x} } { D t } = ( \frac { \partial \mathbf{x} } { \partial t } ) | _ { \mathbf{x} ^ { 0 } }.$ ; confidence 1.000
+
250. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130110/m13011052.png ; $\mathbf {v}= \frac { D \mathbf{x} } { D t } = \left( \frac { \partial \mathbf{x} } { \partial t } \right) | _ { \mathbf{x} ^ { 0 } }.$ ; confidence 1.000
  
 
251. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007038.png ; $< 6232$ ; confidence 0.975
 
251. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007038.png ; $< 6232$ ; confidence 0.975
  
252. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j13004022.png ; $P _ { L } ( v , z ) = P _ { L } ( - v , - z ) = ( - 1 ) ^ { \operatorname { com } ( L ) - 1 } P _ { L } ( - v , z )$ ; confidence 0.974
+
252. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j13004022.png ; $P _ { L } ( v , z ) = P _ { L } ( - v , - z ) = ( - 1 ) ^ { \operatorname { com } ( L ) - 1 } P _ { L } ( - v , z ).$ ; confidence 0.974
  
 
253. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120060/w12006070.png ; $\kappa _ { M } : T T M \rightarrow T T M$ ; confidence 0.974
 
253. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120060/w12006070.png ; $\kappa _ { M } : T T M \rightarrow T T M$ ; confidence 0.974
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264. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120260/d12026010.png ; $X _ { n } ( t ) \Rightarrow w ( t )$ ; confidence 0.974
 
264. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120260/d12026010.png ; $X _ { n } ( t ) \Rightarrow w ( t )$ ; confidence 0.974
  
265. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120230/m12023051.png ; $d f _ { t } ( x ) = 0 \Leftrightarrow \partial f ( x ) \ni 0 \Leftrightarrow f _ { t } ( x ) = f ( x )$ ; confidence 0.974
+
265. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120230/m12023051.png ; $d f _ { t } ( x ) = 0 \Leftrightarrow \partial f ( x ) \ni 0 \Leftrightarrow f _ { t } ( x ) = f ( x ).$ ; confidence 0.974
  
 
266. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120340/b12034040.png ; $z _ { 0 } \in D$ ; confidence 0.974
 
266. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120340/b12034040.png ; $z _ { 0 } \in D$ ; confidence 0.974
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268. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120130/k1201308.png ; $3.2 ^ { i - 1 } ( n + 1 ) - 2$ ; confidence 0.974
 
268. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120130/k1201308.png ; $3.2 ^ { i - 1 } ( n + 1 ) - 2$ ; confidence 0.974
  
269. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120240/e12024051.png ; ${ K }$ ; confidence 1.000
+
269. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120240/e12024051.png ; $y_{ K }$ ; confidence 1.000
  
 
270. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130220/m1302206.png ; $V = V _ { - 1 } \oplus V _ { 1 } \oplus V _ { 2 } \oplus \ldots$ ; confidence 0.974
 
270. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130220/m1302206.png ; $V = V _ { - 1 } \oplus V _ { 1 } \oplus V _ { 2 } \oplus \ldots$ ; confidence 0.974
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272. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024520/c0245203.png ; $f _ { t }$ ; confidence 0.974
 
272. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024520/c0245203.png ; $f _ { t }$ ; confidence 0.974
  
273. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120130/m12013092.png ; $\left. \begin{cases}  { \frac { d N } { d t } = N ( - 2 \alpha N - \delta F + \lambda ) } \\ { \frac { d F } { d t } = F ( 2 \beta N + \gamma F ^ { p } - \varepsilon ) } \end{cases} \right.$ ; confidence 1.000
+
273. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120130/m12013092.png ; $\left. \begin{cases}  { \frac { d N } { d t } = N ( - 2 \alpha N - \delta F + \lambda ), } \\ { \frac { d F } { d t } = F ( 2 \beta N + \gamma F ^ { p } - \varepsilon ), } \end{cases} \right.$ ; confidence 1.000
  
 
274. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110050/e1100501.png ; $f :{\bf N \rightarrow C}$ ; confidence 1.000
 
274. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110050/e1100501.png ; $f :{\bf N \rightarrow C}$ ; confidence 1.000
  
275. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130110/v13011020.png ; $w ( z ) = U _ { x } - i U _ { y } = \frac { d \Phi } { d z } , z = x + i y$ ; confidence 0.974
+
275. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130110/v13011020.png ; $w ( z ) = U _ { x } - i U _ { y } = \frac { d \Phi } { d z } , z = x + i y.$ ; confidence 0.974
  
 
276. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c130070250.png ; $T \cap k ( C _ { 2 } ) = \phi ( T \cap k ( C _ { 1 } ) )$ ; confidence 0.974
 
276. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c130070250.png ; $T \cap k ( C _ { 2 } ) = \phi ( T \cap k ( C _ { 1 } ) )$ ; confidence 0.974
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283. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t130050124.png ; $0 \rightarrow {\cal Y \rightarrow X \rightarrow X / Y }\rightarrow 0$ ; confidence 1.000
 
283. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t130050124.png ; $0 \rightarrow {\cal Y \rightarrow X \rightarrow X / Y }\rightarrow 0$ ; confidence 1.000
  
284. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120110/e12011021.png ; $ \bf P = D - E , M = B - H$ ; confidence 1.000
+
284. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120110/e12011021.png ; $ \bf P = D - E , M = B - H,$ ; confidence 1.000
  
 
285. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096030/v0960309.png ; $\tau = t / \mu$ ; confidence 0.974
 
285. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096030/v0960309.png ; $\tau = t / \mu$ ; confidence 0.974
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294. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120210/w12021076.png ; $\pm x _ { i }$ ; confidence 0.974
 
294. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120210/w12021076.png ; $\pm x _ { i }$ ; confidence 0.974
  
295. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l12003049.png ; $\lambda _ { X } : T _ { E } H ^ { * } X \rightarrow H ^ { * } \operatorname { Map } ( B E , X )$ ; confidence 0.974
+
295. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l12003049.png ; $\lambda _ { X } : T _ { E } H ^ { * } X \rightarrow H ^ { * } \operatorname { Map } ( B E , X ).$ ; confidence 0.974
  
 
296. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130650/s13065037.png ; $| D _ { \mu } ( e ^ { i \theta } ) | ^ { 2 } = \mu ^ { \prime } ( \theta )$ ; confidence 0.974
 
296. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130650/s13065037.png ; $| D _ { \mu } ( e ^ { i \theta } ) | ^ { 2 } = \mu ^ { \prime } ( \theta )$ ; confidence 0.974

Revision as of 18:13, 18 May 2020

List

1. b12022017.png ; $\rho \geq 0$ ; confidence 0.977

2. s12032024.png ; $( - 1 ) ^ { p ( x ) p ( y ) }$ ; confidence 0.977

3. a120270132.png ; $\operatorname { Tr } ( x ^ { 2 } )$ ; confidence 0.977

4. l06002016.png ; $L ( x ) = x \operatorname { ln } 2 - \frac { 1 } { 2 } \sum _ { k = 1 } ^ { \infty } ( - 1 ) ^ { k - 1 } \frac { \operatorname { sin } 2 k x } { k ^ { 2 } }.$ ; confidence 0.977

5. a12017035.png ; $< 1$ ; confidence 0.977

6. e1201106.png ; $\nabla \times \mathbf{H} - \frac { 1 } { c } \frac { \partial \mathbf{D} } { \partial t } = \frac { 1 } { c } \mathbf{J}.$ ; confidence 1.000

7. v120020199.png ; $( t - r ) : ( \Gamma _ { S ^ { n } } ) \rightarrow ( E ^ { n + 1 } \backslash 0 )$ ; confidence 0.977

8. a12018097.png ; $x = F ( x )$ ; confidence 0.977

9. b120150162.png ; $f _ { i } : \Theta \rightarrow [ 0,1 ]$ ; confidence 0.977

10. c130070214.png ; $\mathfrak { D } ( P , x )$ ; confidence 0.977

11. p13010021.png ; $P \mapsto P ( z ) , P \in \mathcal{P}.$ ; confidence 1.000

12. e12002010.png ; $X \times X \rightarrow X$ ; confidence 0.977

13. n12012030.png ; $z \in \Sigma ^ { * }$ ; confidence 0.977

14. g12004089.png ; $U \subset \Omega$ ; confidence 0.977

15. f12020012.png ; $\left( \begin{array} { c c c } { A _ { 1 } } & { \square } & { * } \\ { \square } & { \ddots } & { \square } \\ { 0 } & { \square } & { A _ { n } } \end{array} \right)$ ; confidence 0.977

16. l11002010.png ; $\{ G ; \vee , \wedge \}$ ; confidence 0.977

17. b12005029.png ; $B \subset U$ ; confidence 0.977

18. a13029024.png ; $u ( 0 , t ) \in L _ { 0 }$ ; confidence 0.977

19. n13006028.png ; $\mu _ { 1 } = 0 < \ldots < \mu _ { N }$ ; confidence 0.977

20. r13007048.png ; $( u , B ( x , y ) ) _ { + } = ( u , A ^ { - 1 } B ) = u ( y ),$ ; confidence 0.977

21. a12016079.png ; $c_1 / ( 1 - \lambda )$ ; confidence 1.000

22. k12003040.png ; $\mathcal{E} = \emptyset$ ; confidence 1.000

23. s12004026.png ; $x ^ { T } = x _ { 1 } ^ { 3 } x _ { 2 } x _ { 3 } ^ { 2 } x _ { 4 }$ ; confidence 0.977

24. v096900122.png ; $Q = U U ^ { * }$ ; confidence 0.977

25. z1301303.png ; $x _ { 2 } = r \operatorname { sin } \theta \operatorname{sin} \phi$ ; confidence 1.000

26. r11011011.png ; $P \cap P ^ { - 1 } = \{ e \}$ ; confidence 0.977

27. h04602044.png ; $\| R C ( 1 - P C ) ^ { - 1 } \| _ { \infty } < 1.$ ; confidence 0.977

28. k055840390.png ; $\mathcal{K} = L _ { 2 } \oplus \mathcal{K} _ { 1 }$ ; confidence 1.000

29. f13029064.png ; $f _ { L } ^ { \leftarrow } : L ^ { Y } \rightarrow L ^ { X }$ ; confidence 0.977

30. m120130133.png ; $L _ { 0 } = 0$ ; confidence 0.977

31. t1202007.png ; $M _ { 3 } ( k ) = \left( \sum _ { j = 1 } ^ { n } | b _ { j } | ^ { 2 } | z _ { j } | ^ { 2 k } \right) ^ { 1 / 2 }$ ; confidence 0.977

32. c026010514.png ; $( y _ { t } )$ ; confidence 0.977

33. o13001088.png ; $\beta _ { p q } = \beta _ { q p }$ ; confidence 0.977

34. e13006013.png ; $W ( C , U )$ ; confidence 1.000

35. w13008010.png ; $\theta _ { i } = \kappa _ { i } + \omega _ { i } + \widehat { \theta } _ { i }$ ; confidence 0.977

36. g1300208.png ; $\operatorname { log } \alpha = i \pi$ ; confidence 0.977

37. z13008016.png ; $y = r \operatorname { sin } \theta$ ; confidence 0.977

38. e12024017.png ; $K ( L ) \subset K ( L ^ { \prime } )$ ; confidence 0.977

39. i12010041.png ; $g ( R ( X , Y ) Z , W ) = g ( R ( Z , W ) X , Y ) , R ( X , Y ) Z + R ( Y , Z ) X + R ( Z , X ) Y = 0,$ ; confidence 1.000

40. b11022012.png ; $h ( X )$ ; confidence 0.977

41. l1201605.png ; $L _ { 1 / 2 } ^ { 2 }$ ; confidence 0.977

42. h120120119.png ; $\partial _ { \infty }$ ; confidence 0.977

43. f12023087.png ; $D = \mathcal{L} _ { K } + i _ { L }.$ ; confidence 1.000

44. k13002041.png ; $= \operatorname { corr } [ \operatorname { sign } ( X _ { 1 } - X _ { 2 } ) , \operatorname { sign } ( Y _ { 1 } - Y _ { 2 } ) ].$ ; confidence 1.000

45. s13045049.png ; $( X _ { 3 } , Y _ { 3 } )$ ; confidence 0.977

46. a12016081.png ; $A V i / P = x_i$ ; confidence 1.000

47. b120040183.png ; $x ^ { * } \in L _ { \infty }$ ; confidence 0.977

48. i12006018.png ; $\operatorname { Idim } ( P ) \leq \operatorname { dim } ( P ).$ ; confidence 1.000

49. i130090208.png ; $L ( k ^ { \prime } )$ ; confidence 0.977

50. s12022013.png ; $0 \leq p \leq \operatorname { dim } M$ ; confidence 0.977

51. a130060118.png ; $Z _ { G } ( y ) = \sum _ { r = 0 } ^ { \infty } G ^ { \# } ( r ) y ^ { r }$ ; confidence 0.977

52. s1202608.png ; $L ^ { 2 } ( \mathbf{R} , d t )$ ; confidence 1.000

53. q12005064.png ; $H = H _ { k }$ ; confidence 0.977

54. d12016028.png ; $C ( S ) + C ( T )$ ; confidence 0.977

55. i13003059.png ; $K ^ { 0 } ( B )$ ; confidence 0.977

56. a13014042.png ; $\operatorname{dim} X \geq 3$ ; confidence 1.000

57. c02452045.png ; $x ( . )$ ; confidence 0.977

58. a12016048.png ; $g ( W )$ ; confidence 0.977

59. f12017024.png ; $* A_i$ ; confidence 1.000

60. l11003048.png ; $L ( \mathcal{E} )$ ; confidence 1.000

61. a12007091.png ; $|\left A ( t ) ( \lambda - A ( t ) ) ^ { - 1 } \frac { d A ( t ) ^ { - 1 } } { d t } + \right.$ ; confidence 0.977 NOTE: it looks like a part of the formula is missing

62. i130060181.png ; $y \geq 2 a$ ; confidence 1.000

63. j120020209.png ; $L ^ { 1 } ( I )$ ; confidence 0.977

64. c13016043.png ; $L = \operatorname{DSPACE} [\operatorname{log} n]$ ; confidence 1.000

65. a01110054.png ; $A _ { 1 }$ ; confidence 0.977

66. i13008021.png ; $| A _ { 2 } P _ { 1 } ^ { \prime \prime } | = | P _ { 1 } A _ { 3 } |$ ; confidence 0.977

67. w130080165.png ; $\Pi _ { 1 } ( \Sigma _ { g } , z _ { 0 } )$ ; confidence 0.977

68. o130060180.png ; $\left( \xi _ { 1 } \frac { \partial } { \partial t _ { 1 } } + \xi _ { 2 } \frac { \partial } { \partial t _ { 2 } } \right) \langle f , f \rangle _ { \mathcal{H} } =$ ; confidence 1.000

69. w13008087.png ; $\infty _+$ ; confidence 1.000

70. a01130054.png ; $M ( k )$ ; confidence 0.977

71. k055840262.png ; $\Delta \in \mathbf{R} _ { A }$ ; confidence 1.000

72. q13005029.png ; $\mu ( r )$ ; confidence 0.977

73. a13018012.png ; $\vdash$ ; confidence 1.000

74. b12009013.png ; $p ( u , t ) = 1 + \alpha _ { 1 } ( t ) u + \alpha _ { 2 } ( t ) u ^ { 2 } +\dots$ ; confidence 1.000

75. a0125102.png ; $D = \{ z \in \mathbf{C} : | z | < 1 \}$ ; confidence 1.000

76. c12004040.png ; $w = w ( z , \zeta )$ ; confidence 0.976

77. m13018054.png ; $u \neq x$ ; confidence 0.976

78. a01018052.png ; $\beta > 0$ ; confidence 0.976

79. i130060121.png ; $k = k _ { n } > 0$ ; confidence 0.976

80. w130080109.png ; $T _ { n } = \delta _ { n , 1 }$ ; confidence 0.976

81. e12016047.png ; $J ^ { \prime } = \left( \begin{array} { c c } { f \omega ^ { 2 } - f ^ { - 1 } r ^ { 2 } } & { - f \omega } \\ { - f \omega } & { f } \end{array} \right).$ ; confidence 0.976

82. b13007064.png ; $b \mapsto b$ ; confidence 0.976

83. t12019020.png ; $t ( k , r ) \leq \left( \frac { r - 1 } { k - 1 } \right) ^ { r - 1 }$ ; confidence 0.976

84. t120140123.png ; $\operatorname{wind} \phi$ ; confidence 1.000

85. b01563012.png ; $m \rightarrow \infty$ ; confidence 0.976

86. h13005023.png ; $a ( k )$ ; confidence 1.000

87. w12007057.png ; $\sigma( \mathcal {D , X} )$ ; confidence 1.000

88. c13016099.png ; $w \in \Sigma ^ {\color{blue} * }$ ; confidence 1.000

89. b13022070.png ; $\rho = \operatorname { max } _ { T } \rho ( T )$ ; confidence 0.976

90. b130200185.png ; $L ( \Lambda )$ ; confidence 0.976

91. i13009017.png ; $1 + r _ { 2 } ( k )$ ; confidence 0.976

92. x120010115.png ; $\operatorname{Inn} ( R )$ ; confidence 1.000

93. n12012080.png ; $\Sigma = \mathbf{R}$ ; confidence 1.000

94. f11016034.png ; $L ( n + t )$ ; confidence 0.976

95. e12019066.png ; $m \neq b \neq a$ ; confidence 0.976

96. c1301002.png ; $m : \mathcal{A} \rightarrow [ 0 , \infty ]$ ; confidence 1.000

97. w12018051.png ; $W ^ { ( 2 ) } ( t )$ ; confidence 0.976

98. b13003039.png ; $V ^ { \sigma }$ ; confidence 0.976

99. q12001014.png ; $\sum _ { i } R _ { j i } ( g ^ { - 1 } ) \varphi _ { i } ( g [ f ] )$ ; confidence 0.976

100. e12024073.png ; $p \equiv 3$ ; confidence 0.976

101. s1300405.png ; $X = \Gamma {\color{blue} \backslash} H$ ; confidence 1.000

102. e13006072.png ; $( q , r )$ ; confidence 0.976

103. a13006055.png ; $\partial ( I )$ ; confidence 0.976

104. g13003069.png ; $\mathcal{N} = \{ ( u _ { \varepsilon } ) _ { \varepsilon > 0 } \in \mathcal{E} _ { M }$ ; confidence 1.000 NOTE: it looks like a part of the formula is missing

105. b11033013.png ; $1 \leq j \leq n$ ; confidence 0.976

106. h12003022.png ; $( N , h )$ ; confidence 0.976

107. s13045057.png ; $( X _ { 3 } , Y _ { 2 } )$ ; confidence 0.976

108. b120440110.png ; $C _ { G } ( D ) \subseteq H$ ; confidence 0.976

109. b120310101.png ; $f \in L ^ { 1 }$ ; confidence 0.976

110. f11001010.png ; $z x \leq y z$ ; confidence 0.976

111. l06004021.png ; $\psi _ { p - 2 } ( z ) f ( z ) + \phi _ { p - 1 } ( z ) g _ { k } ( z ),$ ; confidence 0.976

112. p13014063.png ; $U _ { \rho }$ ; confidence 0.976

113. b1204006.png ; $E _ { m } = \pi ^ { - 1 } ( m )$ ; confidence 0.976

114. w130080181.png ; $( \kappa \partial + L ) \psi = 0$ ; confidence 0.976

115. m130180116.png ; $\gamma ( x ) \vee x$ ; confidence 0.976

116. d032450249.png ; $\epsilon \in \mathbf{R}$ ; confidence 1.000

117. a11030030.png ; $\operatorname { deg } v _ { \alpha } = n ^ { \alpha }$ ; confidence 0.976

118. d13008085.png ; $E _ { z _ { 0 } } ( x , R )$ ; confidence 0.976

119. a13013051.png ; $F _ { j k } = \frac { \partial } { \partial t _ { j } } \frac { \partial } { \partial t _ { k } } \operatorname { log } ( \tau ).$ ; confidence 0.976

120. f13004017.png ; $d _ { k } = \operatorname { det } ( 1 - f _ { t } ^ { \prime } ( x _ { k } ) ) ^ { 1 / 2 }$ ; confidence 0.976

121. b12022031.png ; $Q ( f ) = M _ { f } - f,$ ; confidence 0.976

122. e120120108.png ; $\operatorname { log } \int f ( \theta ^ { ( t + 1 ) } , \phi ) d \phi \geq \operatorname { log } \int f ( \theta ^ { ( t ) } , \phi ) d \phi$ ; confidence 1.000

123. v096900119.png ; $P \sim Q$ ; confidence 0.976

124. f12014068.png ; $\lambda \geq \frac { Q + 1 } { Q - 1 }.$ ; confidence 1.000

125. d12029038.png ; $\sum _ { q = 1 } ^ { \infty } ( \varphi ( q ) f ( q ) ) ^ { k }$ ; confidence 0.976

126. i050650213.png ; $\xi_j$ ; confidence 1.000

127. b12004074.png ; $L _ { 1 } = L _ { 1 } ( \mu )$ ; confidence 0.976

128. m12001046.png ; $I - C T ^ { - 1 }$ ; confidence 0.976

129. j12002040.png ; $w \mapsto i \frac { 1 - w } { 1 + w }$ ; confidence 0.976

130. t12013059.png ; $L _ { 1 } ^ { p } = L _ { 2 } ^ { p } = : L$ ; confidence 0.976

131. a1300708.png ; $\sigma ( n ) \geq 2 n$ ; confidence 0.976

132. s120340203.png ; $\operatorname{SH} ^ { * } ( M , \omega )$ ; confidence 0.976

133. a01293050.png ; $u ( x )$ ; confidence 0.976

134. d1302104.png ; $G ( x , \alpha )$ ; confidence 0.976

135. c13005032.png ; $\operatorname{Aut} \Gamma = GH,$ ; confidence 1.000

136. w13005020.png ; $\text{l} \geq k + 1$ ; confidence 1.000

137. g13002033.png ; $f _ { i } ( w ) \in K$ ; confidence 0.976

138. a12018023.png ; $\lambda | > 1$ ; confidence 0.976

139. r1301208.png ; $( E , C )$ ; confidence 0.976

140. c130070140.png ; $k [ C ]$ ; confidence 0.976

141. a12017032.png ; $< 0$ ; confidence 0.976

142. n067520378.png ; $( Q , \Lambda ) \equiv q _ { 1 } \lambda _ { 1 } + \ldots + q _ { n } \lambda _ { n } = 0.$ ; confidence 1.000

143. s086520144.png ; $\phi ( T )$ ; confidence 0.976

144. o13003015.png ; $\operatorname { Tr } ( X Y )$ ; confidence 0.976

145. p13014028.png ; $f _ { \rho } ( x )$ ; confidence 0.976

146. l11004092.png ; $\cal X \neq L$ ; confidence 1.000

147. f120110163.png ; $\xi _ { 0 } x < 0$ ; confidence 0.976

148. m12011016.png ; $h | _ { \partial F } = 1 : \partial F \rightarrow \partial F$ ; confidence 0.976

149. s13059036.png ; $Q _ { 0 } ( z ) = 1$ ; confidence 0.976

150. a12007017.png ; $u ( 0 ) = u _ { 0 } \in \overline { D ( A ( 0 ) ) },$ ; confidence 0.976

151. g13006051.png ; $G _ { i } ( A )$ ; confidence 0.976

152. f12014060.png ; $r < | \zeta | < R$ ; confidence 0.976

153. c12027019.png ; $\omega = 1$ ; confidence 0.976

154. b12032064.png ; $F ( r , F ( s , t ) ) = \| r x + \| s y + t z \| z \| =$ ; confidence 0.976 NOTE: il looks like a part of the formula is missing

155. t12014058.png ; $\operatorname{conv} ( E )$ ; confidence 1.000

156. a13004061.png ; $h ( \varphi )$ ; confidence 0.976

157. c13016090.png ; $f : \Sigma ^ { \color{blue}* } \rightarrow \Sigma ^ { \color{blue} * }$ ; confidence 1.000

158. b11002018.png ; $| b ( u , u ) | \geq \gamma \| u \| ^ { 2 }$ ; confidence 0.976

159. d1301303.png ; $\mathbf{r} = ( x , y , z )$ ; confidence 1.000

160. k11001031.png ; $J Z = 0$ ; confidence 0.976

161. g12005015.png ; $\mu _ { 0 } ( k , R ) \in \mathbf{C}$ ; confidence 1.000

162. l12012021.png ; $\mathbf{F} _ { p } ( ( t ) )$ ; confidence 1.000

163. s12034034.png ; $H ^ { * } ( L ; \mathbf{Z} )$ ; confidence 1.000

164. t130050132.png ; $\partial \sigma _ { T } ( A , \mathcal{H} ) \subseteq \partial \sigma _ { H } ( A , \mathcal{H} )$ ; confidence 1.000

165. e13003052.png ; $\Gamma _ { P }$ ; confidence 1.000

166. d03277019.png ; $L _ { 2 } ( \sigma )$ ; confidence 0.975

167. i12008087.png ; $\lambda _ { \pm } = \operatorname { exp } \left( \frac { J } { k _ { B } T } \right) \operatorname { cosh } \right( \frac { H } { k _ { B } T } \right) \pm$ ; confidence 0.975 NOTE: il looks like a part of the formula is missing

168. o13001023.png ; $A ( \alpha ^ { \prime } , \alpha , - k ) = \overline { A ( \alpha ^ { \prime } , \alpha , - k ) }$ ; confidence 0.975

169. b120040104.png ; $X ^ { \prime \prime } = X$ ; confidence 0.975

170. c021620224.png ; $n = \operatorname { dim } T$ ; confidence 0.975

171. f12002012.png ; $P , Q \in R [ X ]$ ; confidence 0.975

172. a130240186.png ; $\flat$ ; confidence 1.000

173. c13008010.png ; $\sigma _ { \mathfrak { P } } = \left[ \frac { L / K } { \mathfrak { P } } \right]$ ; confidence 0.975

174. s13054091.png ; $K _ { 2 } \mathbf{R}$ ; confidence 1.000

175. b120150133.png ; $d : \Omega \rightarrow \mathbf{R}$ ; confidence 1.000

176. t12005028.png ; $\Sigma ^ { i , j } ( f )$ ; confidence 0.975

177. o13008012.png ; $h ( x ) \in L ^ { 2 } ( \mathbf{R} _ { + } )$ ; confidence 1.000

178. a13029013.png ; $P _ { Y } \times \mathbf{R} \rightarrow Y \times \mathbf{R}$ ; confidence 1.000

179. f12024068.png ; $J _ { t } = [ - h ( t ) , - g ( t ) ] \subset ( - \infty , 0 ]$ ; confidence 0.975

180. a120310115.png ; $G_2$ ; confidence 1.000

181. t12014039.png ; $T _ { \phi } ^ { * } = T _ { \overline { \phi } }$ ; confidence 0.975

182. p130100162.png ; $d \theta$ ; confidence 0.975

183. w12017038.png ; $\omega ^ { \prime \prime } ( G )$ ; confidence 0.975

184. f12011056.png ; $G _ { k } ( \zeta )$ ; confidence 0.975

185. b13022019.png ; $| \alpha | = \sum _ { j = 1 } ^ { N } \alpha _ { j }$ ; confidence 0.975

186. a01150013.png ; $\oplus$ ; confidence 1.000

187. c0231608.png ; $A \otimes A \rightarrow A$ ; confidence 0.975

188. b13030049.png ; $\beta = 1 + ( m - 1 ) 2 ^ { m }$ ; confidence 0.975

189. a13029042.png ; $\mathcal{L} _ { 0 } \subset \mathcal{M} ( P )$ ; confidence 1.000

190. m13025010.png ; $( \mathcal{A} , \partial , \circ )$ ; confidence 1.000

191. a12027020.png ; $W _ { P } ( \rho ) = 1$ ; confidence 0.975

192. b11022043.png ; $\Lambda ( M , s ) = \varepsilon ( M , s ) \Lambda ( M , w + 1 - s )$ ; confidence 0.975

193. c120210121.png ; $\mathcal{L} [ \Delta _ { n } ( \theta ) | P _ { n , \theta } ] \Rightarrow N ( 0 , \Gamma ( \theta ) ),$ ; confidence 1.000

194. m12017016.png ; $\operatorname { Tr } ( X _ { 1 } ) + \ldots + \operatorname { Tr } ( X _ { n } ) = - \operatorname { Tr } ( A _ { 1 } ),$ ; confidence 0.975

195. b13017027.png ; $V _ { t } = \phi _ { t } S _ { t } + \psi _ { t } B _ { t }$ ; confidence 0.975

196. b12001020.png ; $\frac { d u } { d t } - i \frac { d v } { d t } = 2 e ^ { i \lambda } \operatorname { sin } \left( \frac { 1 } { 2 } ( u + i v ) \right)$ ; confidence 0.975

197. a130240167.png ; $\sum \alpha _ { i } = 0$ ; confidence 0.975

198. b12032084.png ; $i \in \mathbf{N}$ ; confidence 1.000

199. k0551702.png ; $\{ z \in \mathbf{C} : | z | < 1 \}$ ; confidence 1.000

200. p13010041.png ; $\Omega _ { \infty }$ ; confidence 0.975

201. l12014025.png ; $p ( t ) , q ( t ) \in \mathbf{F} [ t ]$ ; confidence 0.975

202. l12003095.png ; $H ^ { *_{E}} X$ ; confidence 0.975

203. l057050187.png ; $M _ { G }$ ; confidence 0.975

204. s120040121.png ; $\lambda / \mu$ ; confidence 1.000

205. w13008093.png ; $n < 2 N$ ; confidence 0.975

206. a12005028.png ; $f \in C ( [ 0 , T ] ; D ( A ( 0 ) )$ ; confidence 0.975

207. s12034067.png ; $H : S ^ { 1 } \times M \rightarrow \mathbf{R}$ ; confidence 1.000

208. m130140148.png ; $( z , \zeta ) = z _ { 1 } + z _ { 2 } \zeta _ { 2 } + \ldots + z _ { n } \zeta _ { n }$ ; confidence 0.975

209. b11038091.png ; $n = 0$ ; confidence 0.975

210. m13002012.png ; $D _ { A } \phi$ ; confidence 0.975

211. s12024051.png ; $\varepsilon _ { i } \rightarrow 0$ ; confidence 0.975

212. a13028015.png ; $\operatorname { agm } ( 1 , \sqrt { 2 } ) ^ { - 1 } = ( 2 \pi ) ^ { - 3 / 2 } \Gamma \left( \frac { 1 } { 4 } \right) ^ { 2 } = 0.83462684\dots$ ; confidence 1.000

213. h13006027.png ; $D \cap D ^ { \prime }$ ; confidence 0.975

214. s130510140.png ; $L \neq \mathbf{Z} ^ { 0 }$ ; confidence 1.000

215. c13019046.png ; $X = \mathbf{R} ^ { n }$ ; confidence 1.000

216. q12005015.png ; $D ^ { 2 } f ( x ^ { \color{blue}* } ) = D ( D ^ { T } f ( x ^ {\color{blue } * } ) )$ ; confidence 1.000

217. s12032075.png ; $M = A ^ { p | q}$ ; confidence 1.000

218. f12024038.png ; $h ( t ) \equiv \infty$ ; confidence 0.975

219. h12013053.png ; $\square _ { \infty }$ ; confidence 0.975

220. m1302506.png ; $\langle f u , \varphi \rangle = \langle u , f \varphi \rangle$ ; confidence 0.975

221. t12003023.png ; $\zeta = \xi + i \eta = \Phi ( z ) = \int ^ { z } \sqrt { \varphi ( z ) } d z.$ ; confidence 0.975

222. k12006038.png ; $h ^ { i } ( K _ { X } \otimes L ) = 0$ ; confidence 0.975

223. w13007035.png ; $r = s = 0$ ; confidence 0.975

224. t13005042.png ; $\Lambda = \oplus _ { k = 1 } ^ { n } \Lambda ^ { k }$ ; confidence 0.975

225. k0557805.png ; $f ( x ) \operatorname { ln } x \in L \left( 0 , \frac { 1 } { 2 } \right) , \quad f ( x ) \sqrt { x } \in L \left( \frac { 1 } { 2 } , \infty \right),$ ; confidence 0.975

226. i130060147.png ; $0 \leq b < 1$ ; confidence 0.975

227. d12006021.png ; $H ^ { ( i ) }$ ; confidence 0.975

228. z13010036.png ; $\exists x ( \forall y ( \neg y \in x ) \wedge x \in z )$ ; confidence 0.975

229. i13007095.png ; $\operatorname { sup } _ { \alpha , \alpha ^ { \prime } \in S ^ { 2 } } | A _ { \delta } ( \alpha ^ { \prime } , \alpha ) - A ( \alpha ^ { \prime } , \alpha ) | < \delta$ ; confidence 1.000

230. e1300708.png ; $g ( X ) , h ( X ) \in \mathbf{Z} [ X ]$ ; confidence 1.000

231. m1201305.png ; $d N / d t = f ( N )$ ; confidence 0.975

232. b11085083.png ; $K = \mathbf{C}$ ; confidence 1.000

233. t1201304.png ; $\Lambda = \Lambda _ { i , j } = \delta _ { i + 1 , j }$ ; confidence 0.975

234. i12008093.png ; $m = \frac { \operatorname { sinh } \left( \frac { H } { k _ { B } T } \right) } { [ \operatorname { sinh } ^ { 2 } \left( \frac { H } { k _ { B } T } \right) + \operatorname { exp } \left( - \frac { 4 J } { k _ { B } T } \right) ] ^ { 1 / 2 } }.$ ; confidence 0.975

235. q12002038.png ; $( m , u ) \mapsto u ^ { * } m u$ ; confidence 0.975

236. a012970109.png ; $2 \pi / n$ ; confidence 0.975

237. v13007056.png ; $k q ^ { \prime } s \frac { d } { d s } \left[ q ^ { \prime } s \frac { d \theta } { d s } \right] + \operatorname { cos } \theta - q ^ { \prime } = 0,$ ; confidence 0.975

238. w120090223.png ; $V ^ { * } = \operatorname { Hom } _ { K } ( V , K )$ ; confidence 0.975

239. f130290162.png ; $( f , \phi ) : ( X , L , \mathcal{T} ) \rightarrow ( Y , M , \mathcal{S} )$ ; confidence 1.000

240. s13058017.png ; $V = 2 \xi _ { l } ^ { 0 } \xi _ { r } ^ { 0 } \operatorname { sin } ( \varepsilon _ { l } - \varepsilon _ { r } ).$ ; confidence 0.975

241. s12032014.png ; $[ x , . ]$ ; confidence 0.975

242. d0302406.png ; $= \beta _ { 0 } + \frac { t ^ { 2 } \beta _ { 2 } } { 2 } + \ldots + \frac { t ^ { r } \beta _ { r } } { r ! } + \gamma ( t ) t ^ { r },$ ; confidence 0.975

243. t12006078.png ; $\text{l} > 1$ ; confidence 1.000

244. c1201707.png ; $\gamma _ { i j } = \int \overline{z} ^ { i } z ^ { j } d \mu , 0 \leq i + j \leq 2 n;$ ; confidence 0.975

245. b12009036.png ; $\operatorname { Re } p _ { 3 } ( \xi , \tau ) > 0$ ; confidence 0.975

246. b13026030.png ; $\sum _ { x \in f ^ { - 1 } ( y ) } \operatorname { sign } \operatorname { det } f ^ { \prime } ( x ),$ ; confidence 0.975

247. i052800348.png ; $r \geq 3$ ; confidence 1.000

248. t13010030.png ; $\cal ( X , Y )$ ; confidence 1.000

249. b13012011.png ; $g ( t ) \sim \sum _ { n = - \infty } ^ { \infty } b _ { n } e ^ { i n t } , b _ { 0 } = 0,$ ; confidence 0.975

250. m13011052.png ; $\mathbf {v}= \frac { D \mathbf{x} } { D t } = \left( \frac { \partial \mathbf{x} } { \partial t } \right) | _ { \mathbf{x} ^ { 0 } }.$ ; confidence 1.000

251. a13007038.png ; $< 6232$ ; confidence 0.975

252. j13004022.png ; $P _ { L } ( v , z ) = P _ { L } ( - v , - z ) = ( - 1 ) ^ { \operatorname { com } ( L ) - 1 } P _ { L } ( - v , z ).$ ; confidence 0.974

253. w12006070.png ; $\kappa _ { M } : T T M \rightarrow T T M$ ; confidence 0.974

254. l12006056.png ; $= 2 \pi i | ( V \phi | \zeta \rangle | ^ { 2 }.$ ; confidence 1.000

255. b12027095.png ; $\eta _ { i + 1 } \equiv \{ Z ( u ) : T _ { i } \leq u < T _ { i + 1 } , T _ { i + 1 } - T _ { i } \}$ ; confidence 0.974

256. c1301508.png ; $\mathcal{D} ( \Omega ) \rightarrow \mathbf{C}$ ; confidence 1.000

257. r08232071.png ; $0 \leq a \leq b + c$ ; confidence 0.974

258. s12023035.png ; $\mathcal{O} ( p , n ) = \{ H ( p \times n ) : H H ^ { \prime } = I _ { p } \}$ ; confidence 1.000

259. s13051065.png ; $u_i \in V_i$ ; confidence 1.000

260. b12055012.png ; $t - d ( x , \gamma ( t ) )$ ; confidence 0.974

261. l1300807.png ; $\rho \leq 1$ ; confidence 0.974

262. c12022013.png ; $[ x _ { 0 } , x ]$ ; confidence 0.974

263. i13005033.png ; $A _ { \pm } ( x , y )$ ; confidence 0.974

264. d12026010.png ; $X _ { n } ( t ) \Rightarrow w ( t )$ ; confidence 0.974

265. m12023051.png ; $d f _ { t } ( x ) = 0 \Leftrightarrow \partial f ( x ) \ni 0 \Leftrightarrow f _ { t } ( x ) = f ( x ).$ ; confidence 0.974

266. b12034040.png ; $z _ { 0 } \in D$ ; confidence 0.974

267. k055840238.png ; $[ p ( A ) x , x ] \geq 0$ ; confidence 0.974

268. k1201308.png ; $3.2 ^ { i - 1 } ( n + 1 ) - 2$ ; confidence 0.974

269. e12024051.png ; $y_{ K }$ ; confidence 1.000

270. m1302206.png ; $V = V _ { - 1 } \oplus V _ { 1 } \oplus V _ { 2 } \oplus \ldots$ ; confidence 0.974

271. k0557804.png ; $x = x _ { 0 } > 0$ ; confidence 0.974

272. c0245203.png ; $f _ { t }$ ; confidence 0.974

273. m12013092.png ; $\left. \begin{cases} { \frac { d N } { d t } = N ( - 2 \alpha N - \delta F + \lambda ), } \\ { \frac { d F } { d t } = F ( 2 \beta N + \gamma F ^ { p } - \varepsilon ), } \end{cases} \right.$ ; confidence 1.000

274. e1100501.png ; $f :{\bf N \rightarrow C}$ ; confidence 1.000

275. v13011020.png ; $w ( z ) = U _ { x } - i U _ { y } = \frac { d \Phi } { d z } , z = x + i y.$ ; confidence 0.974

276. c130070250.png ; $T \cap k ( C _ { 2 } ) = \phi ( T \cap k ( C _ { 1 } ) )$ ; confidence 0.974

277. k13005017.png ; $\lambda = n ^ { - 1 } c = ( \pi \sigma ^ { 2 } N ) ^ { - 1 }.$ ; confidence 1.000

278. v12004048.png ; $\chi _ { T } ( G )$ ; confidence 0.974

279. f13029027.png ; $\tau \subset L ^ { X }$ ; confidence 0.974

280. k05507049.png ; $\operatorname { Ric } _ { g }$ ; confidence 0.974

281. i130060126.png ; $\mathcal{S} ( k )$ ; confidence 1.000

282. t1301305.png ; $0 \rightarrow \Lambda \rightarrow T _ { 0 } \rightarrow T _ { 1 } \rightarrow 0$ ; confidence 0.974

283. t130050124.png ; $0 \rightarrow {\cal Y \rightarrow X \rightarrow X / Y }\rightarrow 0$ ; confidence 1.000

284. e12011021.png ; $ \bf P = D - E , M = B - H,$ ; confidence 1.000

285. v0960309.png ; $\tau = t / \mu$ ; confidence 0.974

286. t12001071.png ; $\tau _ { 1 } ^ { 2 } + \tau _ { 3 } ^ { 2 } + \tau _ { 3 } ^ { 2 } = 1$ ; confidence 0.974

287. a13013043.png ; $F _ { j k }$ ; confidence 0.974

288. c13005021.png ; $\operatorname{Aut} \Gamma$ ; confidence 1.000

289. i13006010.png ; $f ( x , k ) = e ^ { i k x } + o ( 1 )$ ; confidence 0.974

290. r0822902.png ; $x , y , z \in X$ ; confidence 0.974

291. a11032029.png ; $y ^ { \prime } = \lambda y$ ; confidence 0.974

292. a12016077.png ; $A V$ ; confidence 0.974

293. b13022049.png ; $W _ { p } ^ { m } ( T )$ ; confidence 0.974

294. w12021076.png ; $\pm x _ { i }$ ; confidence 0.974

295. l12003049.png ; $\lambda _ { X } : T _ { E } H ^ { * } X \rightarrow H ^ { * } \operatorname { Map } ( B E , X ).$ ; confidence 0.974

296. s13065037.png ; $| D _ { \mu } ( e ^ { i \theta } ) | ^ { 2 } = \mu ^ { \prime } ( \theta )$ ; confidence 0.974

297. k055840257.png ; $\mathbf{R} _ { A }$ ; confidence 1.000

298. n067520314.png ; $\{ a ( f ) : f \in L _ { 2 } ( M , \sigma ) \}$ ; confidence 0.974

299. b12037054.png ; $D _ { \Omega ^ { \prime } } ( f )$ ; confidence 0.974

300. s12023076.png ; $Q X$ ; confidence 0.974

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/NoNroff/22. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/NoNroff/22&oldid=45920