Difference between revisions of "User:Maximilian Janisch/latexlist/latex/NoNroff/22"
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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 } + \ | + | 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 _ { | + | 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 ; $ | + | 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 | ||
| − | 62. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130060/i130060181.png ; $y \geq 2 | + | 62. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130060/i130060181.png ; $y \geq 2 a$ ; confidence 1.000 |
63. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j120020209.png ; $L ^ { 1 } ( I )$ ; confidence 0.977 | 63. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j120020209.png ; $L ^ { 1 } ( I )$ ; confidence 0.977 | ||
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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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85. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015630/b01563012.png ; $m \rightarrow \infty$ ; confidence 0.976 | 85. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015630/b01563012.png ; $m \rightarrow \infty$ ; confidence 0.976 | ||
| − | 86. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130050/h13005023.png ; $ | + | 86. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130050/h13005023.png ; $a ( k )$ ; confidence 1.000 |
87. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w12007057.png ; $\sigma( \mathcal {D , X} )$ ; confidence 1.000 | 87. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w12007057.png ; $\sigma( \mathcal {D , X} )$ ; 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 ^ { | + | 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 |
123. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900119.png ; $P \sim Q$ ; confidence 0.976 | 123. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900119.png ; $P \sim Q$ ; confidence 0.976 | ||
| Line 264: | Line 264: | ||
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 | ||
| Line 270: | Line 270: | ||
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 = | + | 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 | ||
| Line 300: | Line 300: | ||
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 | ||
| Line 334: | Line 334: | ||
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 ; $\lambda _ { \pm } = \operatorname { exp } \left( \frac { J } { k _ { B } T } \right) \operatorname { cosh } \left( \frac { H } { k _ { B } T } \right) \pm$ ; 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 | ||
| Line 346: | Line 346: | ||
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 | ||
| Line 404: | Line 404: | ||
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 ^ { * } | + | 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 | ||
| Line 424: | Line 424: | ||
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 | ||
| Line 442: | Line 442: | ||
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 | ||
| Line 450: | Line 450: | ||
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 | ||
| Line 468: | Line 468: | ||
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 | ||
| Line 474: | Line 474: | ||
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 | ||
| Line 480: | Line 480: | ||
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 ; $\ | + | 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 | ||
| Line 518: | Line 518: | ||
258. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s12023035.png ; $\mathcal{O} ( p , n ) = \{ H ( p \times n ) : H H ^ { \prime } = I _ { p } \}$ ; confidence 1.000 | 258. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s12023035.png ; $\mathcal{O} ( p , n ) = \{ H ( p \times n ) : H H ^ { \prime } = I _ { p } \}$ ; confidence 1.000 | ||
| − | 259. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s13051065.png ; $ | + | 259. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s13051065.png ; $u_i \in V_i$ ; confidence 1.000 |
260. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120550/b12055012.png ; $t - d ( x , \gamma ( t ) )$ ; confidence 0.974 | 260. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120550/b12055012.png ; $t - d ( x , \gamma ( t ) )$ ; confidence 0.974 | ||
| Line 530: | Line 530: | ||
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 | ||
| Line 538: | Line 538: | ||
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 ; $ | + | 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 | ||
| Line 546: | Line 546: | ||
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 :{\ | + | 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 | ||
| − | 277. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130050/k13005017.png ; $\lambda = n ^ { - 1 } c = ( \pi \sigma ^ { 2 } N ) ^ { - 1 }$ ; confidence | + | 277. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130050/k13005017.png ; $\lambda = n ^ { - 1 } c = ( \pi \sigma ^ { 2 } N ) ^ { - 1 }.$ ; confidence 1.000 |
278. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120040/v12004048.png ; $\chi _ { T } ( G )$ ; confidence 0.974 | 278. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120040/v12004048.png ; $\chi _ { T } ( G )$ ; confidence 0.974 | ||
| Line 568: | Line 568: | ||
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 ; $ \ | + | 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 | ||
| Line 590: | Line 590: | ||
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 | ||
| Line 596: | Line 596: | ||
297. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840257.png ; $\mathbf{R} _ { A }$ ; confidence 1.000 | 297. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840257.png ; $\mathbf{R} _ { A }$ ; confidence 1.000 | ||
| − | 298. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520314.png ; $\{ | + | 298. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520314.png ; $\{ a ( f ) : f \in L _ { 2 } ( M , \sigma ) \}$ ; confidence 0.974 |
299. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120370/b12037054.png ; $D _ { \Omega ^ { \prime } } ( f )$ ; confidence 0.974 | 299. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120370/b12037054.png ; $D _ { \Omega ^ { \prime } } ( f )$ ; confidence 0.974 | ||
300. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s12023076.png ; $Q X$ ; confidence 0.974 | 300. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s12023076.png ; $Q X$ ; confidence 0.974 | ||
Latest revision as of 18:15, 18 May 2020
List
1. 
; $\rho \geq 0$ ; confidence 0.977
2. 
; $( - 1 ) ^ { p ( x ) p ( y ) }$ ; confidence 0.977
3. 
; $\operatorname { Tr } ( x ^ { 2 } )$ ; confidence 0.977
4. 
; $L ( x ) = x \operatorname { ln } 2 - \frac { 1 } { 2 } \sum _ { k = 1 } ^ { \infty } ( - 1 ) ^ { k - 1 } \frac { \operatorname { sin } 2 k x } { k ^ { 2 } }.$ ; confidence 0.977
5. 
; $< 1$ ; confidence 0.977
6. 
; $\nabla \times \mathbf{H} - \frac { 1 } { c } \frac { \partial \mathbf{D} } { \partial t } = \frac { 1 } { c } \mathbf{J}.$ ; confidence 1.000
7. 
; $( t - r ) : ( \Gamma _ { S ^ { n } } ) \rightarrow ( E ^ { n + 1 } \backslash 0 )$ ; confidence 0.977
8. 
; $x = F ( x )$ ; confidence 0.977
9. 
; $f _ { i } : \Theta \rightarrow [ 0,1 ]$ ; confidence 0.977
10. 
; $\mathfrak { D } ( P , x )$ ; confidence 0.977
11. 
; $P \mapsto P ( z ) , P \in \mathcal{P}.$ ; confidence 1.000
12. 
; $X \times X \rightarrow X$ ; confidence 0.977
13. 
; $z \in \Sigma ^ { * }$ ; confidence 0.977
14. 
; $U \subset \Omega$ ; confidence 0.977
15. 
; $\left( \begin{array} { c c c } { A _ { 1 } } & { \square } & { * } \\ { \square } & { \ddots } & { \square } \\ { 0 } & { \square } & { A _ { n } } \end{array} \right)$ ; confidence 0.977
16. 
; $\{ G ; \vee , \wedge \}$ ; confidence 0.977
17. 
; $B \subset U$ ; confidence 0.977
18. 
; $u ( 0 , t ) \in L _ { 0 }$ ; confidence 0.977
19. 
; $\mu _ { 1 } = 0 < \ldots < \mu _ { N }$ ; confidence 0.977
20. 
; $( u , B ( x , y ) ) _ { + } = ( u , A ^ { - 1 } B ) = u ( y ),$ ; confidence 0.977
21. 
; $c_1 / ( 1 - \lambda )$ ; confidence 1.000
22. 
; $\mathcal{E} = \emptyset$ ; confidence 1.000
23. 
; $x ^ { T } = x _ { 1 } ^ { 3 } x _ { 2 } x _ { 3 } ^ { 2 } x _ { 4 }$ ; confidence 0.977
24. 
; $Q = U U ^ { * }$ ; confidence 0.977
25. 
; $x _ { 2 } = r \operatorname { sin } \theta \operatorname{sin} \phi$ ; confidence 1.000
26. 
; $P \cap P ^ { - 1 } = \{ e \}$ ; confidence 0.977
27. 
; $\| R C ( 1 - P C ) ^ { - 1 } \| _ { \infty } < 1.$ ; confidence 0.977
28. 
; $\mathcal{K} = L _ { 2 } \oplus \mathcal{K} _ { 1 }$ ; confidence 1.000
29. 
; $f _ { L } ^ { \leftarrow } : L ^ { Y } \rightarrow L ^ { X }$ ; confidence 0.977
30. 
; $L _ { 0 } = 0$ ; confidence 0.977
31. 
; $M _ { 3 } ( k ) = \left( \sum _ { j = 1 } ^ { n } | b _ { j } | ^ { 2 } | z _ { j } | ^ { 2 k } \right) ^ { 1 / 2 }$ ; confidence 0.977
32. 
; $( y _ { t } )$ ; confidence 0.977
33. 
; $\beta _ { p q } = \beta _ { q p }$ ; confidence 0.977
34. 
; $W ( C , U )$ ; confidence 1.000
35. 
; $\theta _ { i } = \kappa _ { i } + \omega _ { i } + \widehat { \theta } _ { i }$ ; confidence 0.977
36. 
; $\operatorname { log } \alpha = i \pi$ ; confidence 0.977
37. 
; $y = r \operatorname { sin } \theta$ ; confidence 0.977
38. 
; $K ( L ) \subset K ( L ^ { \prime } )$ ; confidence 0.977
39. 
; $g ( R ( X , Y ) Z , W ) = g ( R ( Z , W ) X , Y ) , R ( X , Y ) Z + R ( Y , Z ) X + R ( Z , X ) Y = 0,$ ; confidence 1.000
40. 
; $h ( X )$ ; confidence 0.977
41. 
; $L _ { 1 / 2 } ^ { 2 }$ ; confidence 0.977
42. 
; $\partial _ { \infty }$ ; confidence 0.977
43. 
; $D = \mathcal{L} _ { K } + i _ { L }.$ ; confidence 1.000
44. 
; $= \operatorname { corr } [ \operatorname { sign } ( X _ { 1 } - X _ { 2 } ) , \operatorname { sign } ( Y _ { 1 } - Y _ { 2 } ) ].$ ; confidence 1.000
45. 
; $( X _ { 3 } , Y _ { 3 } )$ ; confidence 0.977
46. 
; $A V i / P = x_i$ ; confidence 1.000
47. 
; $x ^ { * } \in L _ { \infty }$ ; confidence 0.977
48. 
; $\operatorname { Idim } ( P ) \leq \operatorname { dim } ( P ).$ ; confidence 1.000
49. 
; $L ( k ^ { \prime } )$ ; confidence 0.977
50. 
; $0 \leq p \leq \operatorname { dim } M$ ; confidence 0.977
51. 
; $Z _ { G } ( y ) = \sum _ { r = 0 } ^ { \infty } G ^ { \# } ( r ) y ^ { r }$ ; confidence 0.977
52. 
; $L ^ { 2 } ( \mathbf{R} , d t )$ ; confidence 1.000
53. 
; $H = H _ { k }$ ; confidence 0.977
54. 
; $C ( S ) + C ( T )$ ; confidence 0.977
55. 
; $K ^ { 0 } ( B )$ ; confidence 0.977
56. 
; $\operatorname{dim} X \geq 3$ ; confidence 1.000
57. 
; $x ( . )$ ; confidence 0.977
58. 
; $g ( W )$ ; confidence 0.977
59. 
; $* A_i$ ; confidence 1.000
60. 
; $L ( \mathcal{E} )$ ; confidence 1.000
61. 
; $\left| A ( t ) ( \lambda - A ( t ) ) ^ { - 1 } \frac { d A ( t ) ^ { - 1 } } { d t } + \right.$ ; confidence 0.977
NOTE: it looks like a part of the formula is missing
62. 
; $y \geq 2 a$ ; confidence 1.000
63. 
; $L ^ { 1 } ( I )$ ; confidence 0.977
64. 
; $L = \operatorname{DSPACE} [\operatorname{log} n]$ ; confidence 1.000
65. 
; $A _ { 1 }$ ; confidence 0.977
66. 
; $| A _ { 2 } P _ { 1 } ^ { \prime \prime } | = | P _ { 1 } A _ { 3 } |$ ; confidence 0.977
67. 
; $\Pi _ { 1 } ( \Sigma _ { g } , z _ { 0 } )$ ; confidence 0.977
68. 
; $\left( \xi _ { 1 } \frac { \partial } { \partial t _ { 1 } } + \xi _ { 2 } \frac { \partial } { \partial t _ { 2 } } \right) \langle f , f \rangle _ { \mathcal{H} } =$ ; confidence 1.000
69. 
; $\infty _+$ ; confidence 1.000
70. 
; $M ( k )$ ; confidence 0.977
71. 
; $\Delta \in \mathbf{R} _ { A }$ ; confidence 1.000
72. 
; $\mu ( r )$ ; confidence 0.977
73. 
; $\vdash$ ; confidence 1.000
74. 
; $p ( u , t ) = 1 + \alpha _ { 1 } ( t ) u + \alpha _ { 2 } ( t ) u ^ { 2 } +\dots$ ; confidence 1.000
75. 
; $D = \{ z \in \mathbf{C} : | z | < 1 \}$ ; confidence 1.000
76. 
; $w = w ( z , \zeta )$ ; confidence 0.976
77. 
; $u \neq x$ ; confidence 0.976
78. 
; $\beta > 0$ ; confidence 0.976
79. 
; $k = k _ { n } > 0$ ; confidence 0.976
80. 
; $T _ { n } = \delta _ { n , 1 }$ ; confidence 0.976
81. 
; $J ^ { \prime } = \left( \begin{array} { c c } { f \omega ^ { 2 } - f ^ { - 1 } r ^ { 2 } } & { - f \omega } \\ { - f \omega } & { f } \end{array} \right).$ ; confidence 0.976
82. 
; $b \mapsto b$ ; confidence 0.976
83. 
; $t ( k , r ) \leq \left( \frac { r - 1 } { k - 1 } \right) ^ { r - 1 }$ ; confidence 0.976
84. 
; $\operatorname{wind} \phi$ ; confidence 1.000
85. 
; $m \rightarrow \infty$ ; confidence 0.976
86. 
; $a ( k )$ ; confidence 1.000
87. 
; $\sigma( \mathcal {D , X} )$ ; confidence 1.000
88. 
; $w \in \Sigma ^ {\color{blue} * }$ ; confidence 1.000
89. 
; $\rho = \operatorname { max } _ { T } \rho ( T )$ ; confidence 0.976
90. 
; $L ( \Lambda )$ ; confidence 0.976
91. 
; $1 + r _ { 2 } ( k )$ ; confidence 0.976
92. 
; $\operatorname{Inn} ( R )$ ; confidence 1.000
93. 
; $\Sigma = \mathbf{R}$ ; confidence 1.000
94. 
; $L ( n + t )$ ; confidence 0.976
95. 
; $m \neq b \neq a$ ; confidence 0.976
96. 
; $m : \mathcal{A} \rightarrow [ 0 , \infty ]$ ; confidence 1.000
97. 
; $W ^ { ( 2 ) } ( t )$ ; confidence 0.976
98. 
; $V ^ { \sigma }$ ; confidence 0.976
99. 
; $\sum _ { i } R _ { j i } ( g ^ { - 1 } ) \varphi _ { i } ( g [ f ] )$ ; confidence 0.976
100. 
; $p \equiv 3$ ; confidence 0.976
101. 
; $X = \Gamma {\color{blue} \backslash} H$ ; confidence 1.000
102. 
; $( q , r )$ ; confidence 0.976
103. 
; $\partial ( I )$ ; confidence 0.976
104. 
; $\mathcal{N} = \{ ( u _ { \varepsilon } ) _ { \varepsilon > 0 } \in \mathcal{E} _ { M }$ ; confidence 1.000
NOTE: it looks like a part of the formula is missing
105. 
; $1 \leq j \leq n$ ; confidence 0.976
106. 
; $( N , h )$ ; confidence 0.976
107. 
; $( X _ { 3 } , Y _ { 2 } )$ ; confidence 0.976
108. 
; $C _ { G } ( D ) \subseteq H$ ; confidence 0.976
109. 
; $f \in L ^ { 1 }$ ; confidence 0.976
110. 
; $z x \leq y z$ ; confidence 0.976
111. 
; $\psi _ { p - 2 } ( z ) f ( z ) + \phi _ { p - 1 } ( z ) g _ { k } ( z ),$ ; confidence 0.976
112. 
; $U _ { \rho }$ ; confidence 0.976
113. 
; $E _ { m } = \pi ^ { - 1 } ( m )$ ; confidence 0.976
114. 
; $( \kappa \partial + L ) \psi = 0$ ; confidence 0.976
115. 
; $\gamma ( x ) \vee x$ ; confidence 0.976
116. 
; $\epsilon \in \mathbf{R}$ ; confidence 1.000
117. 
; $\operatorname { deg } v _ { \alpha } = n ^ { \alpha }$ ; confidence 0.976
118. 
; $E _ { z _ { 0 } } ( x , R )$ ; confidence 0.976
119. 
; $F _ { j k } = \frac { \partial } { \partial t _ { j } } \frac { \partial } { \partial t _ { k } } \operatorname { log } ( \tau ).$ ; confidence 0.976
120. 
; $d _ { k } = \operatorname { det } ( 1 - f _ { t } ^ { \prime } ( x _ { k } ) ) ^ { 1 / 2 }$ ; confidence 0.976
121. 
; $Q ( f ) = M _ { f } - f,$ ; confidence 0.976
122. 
; $\operatorname { log } \int f ( \theta ^ { ( t + 1 ) } , \phi ) d \phi \geq \operatorname { log } \int f ( \theta ^ { ( t ) } , \phi ) d \phi$ ; confidence 1.000
123. 
; $P \sim Q$ ; confidence 0.976
124. 
; $\lambda \geq \frac { Q + 1 } { Q - 1 }.$ ; confidence 1.000
125. 
; $\sum _ { q = 1 } ^ { \infty } ( \varphi ( q ) f ( q ) ) ^ { k }$ ; confidence 0.976
126. 
; $\xi_j$ ; confidence 1.000
127. 
; $L _ { 1 } = L _ { 1 } ( \mu )$ ; confidence 0.976
128. 
; $I - C T ^ { - 1 }$ ; confidence 0.976
129. 
; $w \mapsto i \frac { 1 - w } { 1 + w }$ ; confidence 0.976
130. 
; $L _ { 1 } ^ { p } = L _ { 2 } ^ { p } = : L$ ; confidence 0.976
131. 
; $\sigma ( n ) \geq 2 n$ ; confidence 0.976
132. 
; $\operatorname{SH} ^ { * } ( M , \omega )$ ; confidence 0.976
133. 
; $u ( x )$ ; confidence 0.976
134. 
; $G ( x , \alpha )$ ; confidence 0.976
135. 
; $\operatorname{Aut} \Gamma = GH,$ ; confidence 1.000
136. 
; $\text{l} \geq k + 1$ ; confidence 1.000
137. 
; $f _ { i } ( w ) \in K$ ; confidence 0.976
138. 
; $\lambda | > 1$ ; confidence 0.976
139. 
; $( E , C )$ ; confidence 0.976
140. 
; $k [ C ]$ ; confidence 0.976
141. 
; $< 0$ ; confidence 0.976
142. 
; $( Q , \Lambda ) \equiv q _ { 1 } \lambda _ { 1 } + \ldots + q _ { n } \lambda _ { n } = 0.$ ; confidence 1.000
143. 
; $\phi ( T )$ ; confidence 0.976
144. 
; $\operatorname { Tr } ( X Y )$ ; confidence 0.976
145. 
; $f _ { \rho } ( x )$ ; confidence 0.976
146. 
; $\cal X \neq L$ ; confidence 1.000
147. 
; $\xi _ { 0 } x < 0$ ; confidence 0.976
148. 
; $h | _ { \partial F } = 1 : \partial F \rightarrow \partial F$ ; confidence 0.976
149. 
; $Q _ { 0 } ( z ) = 1$ ; confidence 0.976
150. 
; $u ( 0 ) = u _ { 0 } \in \overline { D ( A ( 0 ) ) },$ ; confidence 0.976
151. 
; $G _ { i } ( A )$ ; confidence 0.976
152. 
; $r < | \zeta | < R$ ; confidence 0.976
153. 
; $\omega = 1$ ; confidence 0.976
154. 
; $F ( r , F ( s , t ) ) = \| r x + \| s y + t z \| z \| =$ ; confidence 0.976 NOTE: il looks like a part of the formula is missing
155. 
; $\operatorname{conv} ( E )$ ; confidence 1.000
156. 
; $h ( \varphi )$ ; confidence 0.976
157. 
; $f : \Sigma ^ { \color{blue}* } \rightarrow \Sigma ^ { \color{blue} * }$ ; confidence 1.000
158. 
; $| b ( u , u ) | \geq \gamma \| u \| ^ { 2 }$ ; confidence 0.976
159. 
; $\mathbf{r} = ( x , y , z )$ ; confidence 1.000
160. 
; $J Z = 0$ ; confidence 0.976
161. 
; $\mu _ { 0 } ( k , R ) \in \mathbf{C}$ ; confidence 1.000
162. 
; $\mathbf{F} _ { p } ( ( t ) )$ ; confidence 1.000
163. 
; $H ^ { * } ( L ; \mathbf{Z} )$ ; confidence 1.000
164. 
; $\partial \sigma _ { T } ( A , \mathcal{H} ) \subseteq \partial \sigma _ { H } ( A , \mathcal{H} )$ ; confidence 1.000
165. 
; $\Gamma _ { P }$ ; confidence 1.000
166. 
; $L _ { 2 } ( \sigma )$ ; confidence 0.975
167. 
; $\lambda _ { \pm } = \operatorname { exp } \left( \frac { J } { k _ { B } T } \right) \operatorname { cosh } \left( \frac { H } { k _ { B } T } \right) \pm$ ; confidence 0.975 NOTE: il looks like a part of the formula is missing
168. 
; $A ( \alpha ^ { \prime } , \alpha , - k ) = \overline { A ( \alpha ^ { \prime } , \alpha , - k ) }$ ; confidence 0.975
169. 
; $X ^ { \prime \prime } = X$ ; confidence 0.975
170. 
; $n = \operatorname { dim } T$ ; confidence 0.975
171. 
; $P , Q \in R [ X ]$ ; confidence 0.975
172. 
; $\flat$ ; confidence 1.000
173. 
; $\sigma _ { \mathfrak { P } } = \left[ \frac { L / K } { \mathfrak { P } } \right]$ ; confidence 0.975
174. 
; $K _ { 2 } \mathbf{R}$ ; confidence 1.000
175. 
; $d : \Omega \rightarrow \mathbf{R}$ ; confidence 1.000
176. 
; $\Sigma ^ { i , j } ( f )$ ; confidence 0.975
177. 
; $h ( x ) \in L ^ { 2 } ( \mathbf{R} _ { + } )$ ; confidence 1.000
178. 
; $P _ { Y } \times \mathbf{R} \rightarrow Y \times \mathbf{R}$ ; confidence 1.000
179. 
; $J _ { t } = [ - h ( t ) , - g ( t ) ] \subset ( - \infty , 0 ]$ ; confidence 0.975
180. 
; $G_2$ ; confidence 1.000
181. 
; $T _ { \phi } ^ { * } = T _ { \overline { \phi } }$ ; confidence 0.975
182. 
; $d \theta$ ; confidence 0.975
183. 
; $\omega ^ { \prime \prime } ( G )$ ; confidence 0.975
184. 
; $G _ { k } ( \zeta )$ ; confidence 0.975
185. 
; $| \alpha | = \sum _ { j = 1 } ^ { N } \alpha _ { j }$ ; confidence 0.975
186. 
; $\oplus$ ; confidence 1.000
187. 
; $A \otimes A \rightarrow A$ ; confidence 0.975
188. 
; $\beta = 1 + ( m - 1 ) 2 ^ { m }$ ; confidence 0.975
189. 
; $\mathcal{L} _ { 0 } \subset \mathcal{M} ( P )$ ; confidence 1.000
190. 
; $( \mathcal{A} , \partial , \circ )$ ; confidence 1.000
191. 
; $W _ { P } ( \rho ) = 1$ ; confidence 0.975
192. 
; $\Lambda ( M , s ) = \varepsilon ( M , s ) \Lambda ( M , w + 1 - s )$ ; confidence 0.975
193. 
; $\mathcal{L} [ \Delta _ { n } ( \theta ) | P _ { n , \theta } ] \Rightarrow N ( 0 , \Gamma ( \theta ) ),$ ; confidence 1.000
194. 
; $\operatorname { Tr } ( X _ { 1 } ) + \ldots + \operatorname { Tr } ( X _ { n } ) = - \operatorname { Tr } ( A _ { 1 } ),$ ; confidence 0.975
195. 
; $V _ { t } = \phi _ { t } S _ { t } + \psi _ { t } B _ { t }$ ; confidence 0.975
196. 
; $\frac { d u } { d t } - i \frac { d v } { d t } = 2 e ^ { i \lambda } \operatorname { sin } \left( \frac { 1 } { 2 } ( u + i v ) \right)$ ; confidence 0.975
197. 
; $\sum \alpha _ { i } = 0$ ; confidence 0.975
198. 
; $i \in \mathbf{N}$ ; confidence 1.000
199. 
; $\{ z \in \mathbf{C} : | z | < 1 \}$ ; confidence 1.000
200. 
; $\Omega _ { \infty }$ ; confidence 0.975
201. 
; $p ( t ) , q ( t ) \in \mathbf{F} [ t ]$ ; confidence 0.975
202. 
; $H ^ { *_{E}} X$ ; confidence 0.975
203. 
; $M _ { G }$ ; confidence 0.975
204. 
; $\lambda / \mu$ ; confidence 1.000
205. 
; $n < 2 N$ ; confidence 0.975
206. 
; $f \in C ( [ 0 , T ] ; D ( A ( 0 ) )$ ; confidence 0.975
207. 
; $H : S ^ { 1 } \times M \rightarrow \mathbf{R}$ ; confidence 1.000
208. 
; $( z , \zeta ) = z _ { 1 } + z _ { 2 } \zeta _ { 2 } + \ldots + z _ { n } \zeta _ { n }$ ; confidence 0.975
209. 
; $n = 0$ ; confidence 0.975
210. 
; $D _ { A } \phi$ ; confidence 0.975
211. 
; $\varepsilon _ { i } \rightarrow 0$ ; confidence 0.975
212. 
; $\operatorname { agm } ( 1 , \sqrt { 2 } ) ^ { - 1 } = ( 2 \pi ) ^ { - 3 / 2 } \Gamma \left( \frac { 1 } { 4 } \right) ^ { 2 } = 0.83462684\dots$ ; confidence 1.000
213. 
; $D \cap D ^ { \prime }$ ; confidence 0.975
214. 
; $L \neq \mathbf{Z} ^ { 0 }$ ; confidence 1.000
215. 
; $X = \mathbf{R} ^ { n }$ ; confidence 1.000
216. 
; $D ^ { 2 } f ( x ^ { \color{blue}* } ) = D ( D ^ { T } f ( x ^ {\color{blue } * } ) )$ ; confidence 1.000
217. 
; $M = A ^ { p | q}$ ; confidence 1.000
218. 
; $h ( t ) \equiv \infty$ ; confidence 0.975
219. 
; $\square _ { \infty }$ ; confidence 0.975
220. 
; $\langle f u , \varphi \rangle = \langle u , f \varphi \rangle$ ; confidence 0.975
221. 
; $\zeta = \xi + i \eta = \Phi ( z ) = \int ^ { z } \sqrt { \varphi ( z ) } d z.$ ; confidence 0.975
222. 
; $h ^ { i } ( K _ { X } \otimes L ) = 0$ ; confidence 0.975
223. 
; $r = s = 0$ ; confidence 0.975
224. 
; $\Lambda = \oplus _ { k = 1 } ^ { n } \Lambda ^ { k }$ ; confidence 0.975
225. 
; $f ( x ) \operatorname { ln } x \in L \left( 0 , \frac { 1 } { 2 } \right) , \quad f ( x ) \sqrt { x } \in L \left( \frac { 1 } { 2 } , \infty \right),$ ; confidence 0.975
226. 
; $0 \leq b < 1$ ; confidence 0.975
227. 
; $H ^ { ( i ) }$ ; confidence 0.975
228. 
; $\exists x ( \forall y ( \neg y \in x ) \wedge x \in z )$ ; confidence 0.975
229. 
; $\operatorname { sup } _ { \alpha , \alpha ^ { \prime } \in S ^ { 2 } } | A _ { \delta } ( \alpha ^ { \prime } , \alpha ) - A ( \alpha ^ { \prime } , \alpha ) | < \delta$ ; confidence 1.000
230. 
; $g ( X ) , h ( X ) \in \mathbf{Z} [ X ]$ ; confidence 1.000
231. 
; $d N / d t = f ( N )$ ; confidence 0.975
232. 
; $K = \mathbf{C}$ ; confidence 1.000
233. 
; $\Lambda = \Lambda _ { i , j } = \delta _ { i + 1 , j }$ ; confidence 0.975
234. 
; $m = \frac { \operatorname { sinh } \left( \frac { H } { k _ { B } T } \right) } { [ \operatorname { sinh } ^ { 2 } \left( \frac { H } { k _ { B } T } \right) + \operatorname { exp } \left( - \frac { 4 J } { k _ { B } T } \right) ] ^ { 1 / 2 } }.$ ; confidence 0.975
235. 
; $( m , u ) \mapsto u ^ { * } m u$ ; confidence 0.975
236. 
; $2 \pi / n$ ; confidence 0.975
237. 
; $k q ^ { \prime } s \frac { d } { d s } \left[ q ^ { \prime } s \frac { d \theta } { d s } \right] + \operatorname { cos } \theta - q ^ { \prime } = 0,$ ; confidence 0.975
238. 
; $V ^ { * } = \operatorname { Hom } _ { K } ( V , K )$ ; confidence 0.975
239. 
; $( f , \phi ) : ( X , L , \mathcal{T} ) \rightarrow ( Y , M , \mathcal{S} )$ ; confidence 1.000
240. 
; $V = 2 \xi _ { l } ^ { 0 } \xi _ { r } ^ { 0 } \operatorname { sin } ( \varepsilon _ { l } - \varepsilon _ { r } ).$ ; confidence 0.975
241. 
; $[ x , . ]$ ; confidence 0.975
242. 
; $= \beta _ { 0 } + \frac { t ^ { 2 } \beta _ { 2 } } { 2 } + \ldots + \frac { t ^ { r } \beta _ { r } } { r ! } + \gamma ( t ) t ^ { r },$ ; confidence 0.975
243. 
; $\text{l} > 1$ ; confidence 1.000
244. 
; $\gamma _ { i j } = \int \overline{z} ^ { i } z ^ { j } d \mu , 0 \leq i + j \leq 2 n;$ ; confidence 0.975
245. 
; $\operatorname { Re } p _ { 3 } ( \xi , \tau ) > 0$ ; confidence 0.975
246. 
; $\sum _ { x \in f ^ { - 1 } ( y ) } \operatorname { sign } \operatorname { det } f ^ { \prime } ( x ),$ ; confidence 0.975
247. 
; $r \geq 3$ ; confidence 1.000
248. 
; $\cal ( X , Y )$ ; confidence 1.000
249. 
; $g ( t ) \sim \sum _ { n = - \infty } ^ { \infty } b _ { n } e ^ { i n t } , b _ { 0 } = 0,$ ; confidence 0.975
250. 
; $\mathbf {v}= \frac { D \mathbf{x} } { D t } = \left( \frac { \partial \mathbf{x} } { \partial t } \right) | _ { \mathbf{x} ^ { 0 } }.$ ; confidence 1.000
251. 
; $< 6232$ ; confidence 0.975
252. 
; $P _ { L } ( v , z ) = P _ { L } ( - v , - z ) = ( - 1 ) ^ { \operatorname { com } ( L ) - 1 } P _ { L } ( - v , z ).$ ; confidence 0.974
253. 
; $\kappa _ { M } : T T M \rightarrow T T M$ ; confidence 0.974
254. 
; $= 2 \pi i | ( V \phi | \zeta \rangle | ^ { 2 }.$ ; confidence 1.000
255. 
; $\eta _ { i + 1 } \equiv \{ Z ( u ) : T _ { i } \leq u < T _ { i + 1 } , T _ { i + 1 } - T _ { i } \}$ ; confidence 0.974
256. 
; $\mathcal{D} ( \Omega ) \rightarrow \mathbf{C}$ ; confidence 1.000
257. 
; $0 \leq a \leq b + c$ ; confidence 0.974
258. 
; $\mathcal{O} ( p , n ) = \{ H ( p \times n ) : H H ^ { \prime } = I _ { p } \}$ ; confidence 1.000
259. 
; $u_i \in V_i$ ; confidence 1.000
260. 
; $t - d ( x , \gamma ( t ) )$ ; confidence 0.974
261. 
; $\rho \leq 1$ ; confidence 0.974
262. 
; $[ x _ { 0 } , x ]$ ; confidence 0.974
263. 
; $A _ { \pm } ( x , y )$ ; confidence 0.974
264. 
; $X _ { n } ( t ) \Rightarrow w ( t )$ ; confidence 0.974
265. 
; $d f _ { t } ( x ) = 0 \Leftrightarrow \partial f ( x ) \ni 0 \Leftrightarrow f _ { t } ( x ) = f ( x ).$ ; confidence 0.974
266. 
; $z _ { 0 } \in D$ ; confidence 0.974
267. 
; $[ p ( A ) x , x ] \geq 0$ ; confidence 0.974
268. 
; $3.2 ^ { i - 1 } ( n + 1 ) - 2$ ; confidence 0.974
269. 
; $y_{ K }$ ; confidence 1.000
270. 
; $V = V _ { - 1 } \oplus V _ { 1 } \oplus V _ { 2 } \oplus \ldots$ ; confidence 0.974
271. 
; $x = x _ { 0 } > 0$ ; confidence 0.974
272. 
; $f _ { t }$ ; confidence 0.974
273. 
; $\left. \begin{cases} { \frac { d N } { d t } = N ( - 2 \alpha N - \delta F + \lambda ), } \\ { \frac { d F } { d t } = F ( 2 \beta N + \gamma F ^ { p } - \varepsilon ), } \end{cases} \right.$ ; confidence 1.000
274. 
; $f :{\bf N \rightarrow C}$ ; confidence 1.000
275. 
; $w ( z ) = U _ { x } - i U _ { y } = \frac { d \Phi } { d z } , z = x + i y.$ ; confidence 0.974
276. 
; $T \cap k ( C _ { 2 } ) = \phi ( T \cap k ( C _ { 1 } ) )$ ; confidence 0.974
277. 
; $\lambda = n ^ { - 1 } c = ( \pi \sigma ^ { 2 } N ) ^ { - 1 }.$ ; confidence 1.000
278. 
; $\chi _ { T } ( G )$ ; confidence 0.974
279. 
; $\tau \subset L ^ { X }$ ; confidence 0.974
280. 
; $\operatorname { Ric } _ { g }$ ; confidence 0.974
281. 
; $\mathcal{S} ( k )$ ; confidence 1.000
282. 
; $0 \rightarrow \Lambda \rightarrow T _ { 0 } \rightarrow T _ { 1 } \rightarrow 0$ ; confidence 0.974
283. 
; $0 \rightarrow {\cal Y \rightarrow X \rightarrow X / Y }\rightarrow 0$ ; confidence 1.000
284. 
; $ \bf P = D - E , M = B - H,$ ; confidence 1.000
285. 
; $\tau = t / \mu$ ; confidence 0.974
286. 
; $\tau _ { 1 } ^ { 2 } + \tau _ { 3 } ^ { 2 } + \tau _ { 3 } ^ { 2 } = 1$ ; confidence 0.974
287. 
; $F _ { j k }$ ; confidence 0.974
288. 
; $\operatorname{Aut} \Gamma$ ; confidence 1.000
289. 
; $f ( x , k ) = e ^ { i k x } + o ( 1 )$ ; confidence 0.974
290. 
; $x , y , z \in X$ ; confidence 0.974
291. 
; $y ^ { \prime } = \lambda y$ ; confidence 0.974
292. 
; $A V$ ; confidence 0.974
293. 
; $W _ { p } ^ { m } ( T )$ ; confidence 0.974
294. 
; $\pm x _ { i }$ ; confidence 0.974
295. 
; $\lambda _ { X } : T _ { E } H ^ { * } X \rightarrow H ^ { * } \operatorname { Map } ( B E , X ).$ ; confidence 0.974
296. 
; $| D _ { \mu } ( e ^ { i \theta } ) | ^ { 2 } = \mu ^ { \prime } ( \theta )$ ; confidence 0.974
297. 
; $\mathbf{R} _ { A }$ ; confidence 1.000
298. 
; $\{ a ( f ) : f \in L _ { 2 } ( M , \sigma ) \}$ ; confidence 0.974
299. 
; $D _ { \Omega ^ { \prime } } ( f )$ ; confidence 0.974
300. 
; $Q X$ ; confidence 0.974
Maximilian Janisch/latexlist/latex/NoNroff/22. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/NoNroff/22&oldid=44920