Difference between revisions of "User:Maximilian Janisch/latexlist/latex/Algebraic Groups/2"
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== List == | == List == | ||
| − | 1. https://www.encyclopediaofmath.org/legacyimages/ | + | 1. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830326.png ; $\Sigma \subset R \{ y _ { 1 } , \ldots , y _ { n } \} \backslash R$ ; confidence 0.488 |
| − | 2. https://www.encyclopediaofmath.org/legacyimages/ | + | 2. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120160.png ; $H ^ { \gamma } ( A , X ) \sim H ^ { \gamma + 1 } ( R \backslash A , X )$ ; confidence 0.364 |
| − | 3. https://www.encyclopediaofmath.org/legacyimages/ | + | 3. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120292.png ; $\exists n _ { 0 } : n \geq n _ { 0 } \Rightarrow G _ { n } \subset G$ ; confidence 0.126 |
| − | 4. https://www.encyclopediaofmath.org/legacyimages/ | + | 4. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797031.png ; $y ] = x y - ( - 1 ) ^ { p q } y x , \quad x \in A _ { p } , \quad y \in A _ { y }$ ; confidence 0.507 |
| − | 5. https://www.encyclopediaofmath.org/legacyimages/ | + | 5. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l058510213.png ; $( ad X _ { \alpha _ { i } } ) ^ { 1 - n ( i , j ) } ( X _ { \alpha _ { j } } ) = 0$ ; confidence 0.432 |
| − | 6. https://www.encyclopediaofmath.org/legacyimages/ | + | 6. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058680/l05868083.png ; $\mathfrak { g } 0 = \mathfrak { k } _ { 0 } + \mathfrak { p } _ { 0 }$ ; confidence 0.090 |
| − | 7. https://www.encyclopediaofmath.org/legacyimages/ | + | 7. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690080.png ; $\delta \alpha = d \alpha - \frac { 1 } { 2 } [ \alpha , \alpha ]$ ; confidence 0.991 |
| − | 8. https://www.encyclopediaofmath.org/legacyimages/ | + | 8. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q076310114.png ; $\Delta ^ { \prime } ( \alpha ) = R . \Delta ( \alpha ) . R ^ { - 1 }$ ; confidence 0.304 |
| − | 9. https://www.encyclopediaofmath.org/legacyimages/ | + | 9. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q076310141.png ; $T _ { 2 } = 1 \otimes T \in \text { End } ( k ^ { n } \otimes k ^ { n } )$ ; confidence 0.318 |
| − | 10. https://www.encyclopediaofmath.org/legacyimages/ | + | 10. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590128.png ; $\overline { U } ( 0,1 ) = \{ z \in \overline { C } : | z | \leq 1 \}$ ; confidence 0.957 |
| − | 11. https://www.encyclopediaofmath.org/legacyimages/ | + | 11. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t13013040.png ; $\Gamma = \operatorname { End } _ { \Lambda } ( T ) ^ { \circ p }$ ; confidence 0.240 |
| − | 12. https://www.encyclopediaofmath.org/legacyimages/ | + | 12. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014049.png ; $\operatorname { dim } : K _ { 0 } ( Q ) \rightarrow Z ^ { Q _ { 0 } }$ ; confidence 0.783 |
| − | 13. https://www.encyclopediaofmath.org/legacyimages/ | + | 13. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t130140117.png ; $\chi _ { R } : K _ { 0 } ( \operatorname { mod } R ) \rightarrow Z$ ; confidence 0.847 |
| − | 14. https://www.encyclopediaofmath.org/legacyimages/ | + | 14. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095240/u0952408.png ; $\phi ( t ) = \frac { 1 } { i t ( b - \alpha ) } ( e ^ { i t b } - e ^ { i t x } )$ ; confidence 0.594 |
| − | 15. https://www.encyclopediaofmath.org/legacyimages/ | + | 15. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d03070037.png ; $\pi ^ { \prime } : X ^ { \prime } \rightarrow S ^ { \prime }$ ; confidence 0.952 |
| − | 16. https://www.encyclopediaofmath.org/legacyimages/d/ | + | 16. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031640/d03164012.png ; $\omega ^ { ( p ) } = ( a _ { 0 } ^ { p } , \dots , a _ { n } ^ { p } , \dots )$ ; confidence 0.284 |
| − | 17. https://www.encyclopediaofmath.org/legacyimages/ | + | 17. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h047690121.png ; $\operatorname { Sp } ( k ) \times \operatorname { Sp } ( 1 )$ ; confidence 0.853 |
| − | 18. https://www.encyclopediaofmath.org/legacyimages/ | + | 18. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797082.png ; $\pi ( G , K ) = \sum _ { i = 0 } ^ { \infty } \pi _ { i } ( G ) \otimes K$ ; confidence 0.998 |
| − | 19. https://www.encyclopediaofmath.org/legacyimages/ | + | 19. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058520/l05852012.png ; $\mathfrak { g } _ { i } / \mathfrak { g } _ { \mathfrak { l } } + 1$ ; confidence 0.230 |
| − | 20. https://www.encyclopediaofmath.org/legacyimages/ | + | 20. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l058590118.png ; $g \rightarrow A d ( g ) = d _ { e } ( \operatorname { ln } t ( g ) )$ ; confidence 0.610 |
| − | 21. https://www.encyclopediaofmath.org/legacyimages/ | + | 21. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058680/l05868084.png ; $\mathfrak { g } \subset \mathfrak { g } ^ { \mathfrak { C } }$ ; confidence 0.496 |
| − | 22. https://www.encyclopediaofmath.org/legacyimages/ | + | 22. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690054.png ; $C ^ { k } = \operatorname { Map } ( G ^ { k } , A ) , \quad k = 0,1,2$ ; confidence 0.893 |
| − | 23. https://www.encyclopediaofmath.org/legacyimages/ | + | 23. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074640/p07464035.png ; $\alpha : H ^ { 1 } ( B , O ^ { G } ) \rightarrow H ^ { 1 } ( B , C ^ { G } )$ ; confidence 0.999 |
| − | 24. https://www.encyclopediaofmath.org/legacyimages/ | + | 24. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559054.png ; $\tau _ { 2 } - \epsilon < \tau ^ { \prime \prime } < \tau _ { 2 }$ ; confidence 0.940 |
| − | 25. https://www.encyclopediaofmath.org/legacyimages/ | + | 25. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590464.png ; $F ( x , y , \lambda ) = x \Phi _ { \mu - 2 } ( x , \lambda ) - x y ^ { 2 }$ ; confidence 0.854 |
| − | 26. https://www.encyclopediaofmath.org/legacyimages/ | + | 26. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095400/u09540044.png ; $n ^ { 2 } - \sum _ { i j } \operatorname { min } ( m _ { i } , m _ { j } )$ ; confidence 0.738 |
| − | 27. https://www.encyclopediaofmath.org/legacyimages/ | + | 27. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a0115005.png ; $\frac { d x } { \sqrt { f ( x ) } } = \frac { d y } { \sqrt { f ( y ) } }$ ; confidence 0.999 |
| − | 28. https://www.encyclopediaofmath.org/legacyimages/a/ | + | 28. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640153.png ; $\operatorname { tim } \operatorname { Aut } ^ { 0 } ( V ) > 0$ ; confidence 0.287 |
| − | 29. https://www.encyclopediaofmath.org/legacyimages/ | + | 29. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020570/c02057038.png ; $O ^ { p } \rightarrow O ^ { q } \rightarrow S \rightarrow 0$ ; confidence 0.899 |
| − | 30. https://www.encyclopediaofmath.org/legacyimages/ | + | 30. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120203.png ; $\operatorname { Ext } _ { \Psi } ^ { n - p + 1 } ( X ; F , \Omega )$ ; confidence 0.408 |
| − | 31. https://www.encyclopediaofmath.org/legacyimages/d/ | + | 31. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120246.png ; $A ( z ) = \sum _ { x = 0 } ^ { \infty } \frac { a _ { x } } { n ! } z ^ { N }$ ; confidence 0.156 |
| − | 32. https://www.encyclopediaofmath.org/legacyimages/ | + | 32. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820200.png ; $f ( X ) = X + \alpha _ { 2 } X ^ { 2 } + \alpha _ { 3 } X ^ { 3 } + \ldots$ ; confidence 0.751 |
| − | 33. https://www.encyclopediaofmath.org/legacyimages/ | + | 33. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820161.png ; $f _ { \pi } ( X ) = X + \pi ^ { - 1 } X ^ { q } + \pi ^ { - 2 } X ^ { q ^ { 2 } } +$ ; confidence 0.673 |
| − | 34. https://www.encyclopediaofmath.org/legacyimages/ | + | 34. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g13002046.png ; $Q ( \alpha ^ { \beta } , \ldots , \alpha ^ { \beta ^ { d - 1 } } )$ ; confidence 0.372 |
| − | 35. https://www.encyclopediaofmath.org/legacyimages/ | + | 35. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058480/l05848015.png ; $[ D _ { 1 } , D _ { 2 } ] = D _ { 1 } \circ D _ { 2 } - D _ { 2 } \circ D _ { 1 }$ ; confidence 0.999 |
| − | 36. https://www.encyclopediaofmath.org/legacyimages/ | + | 36. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058610/l05861016.png ; $T ^ { \prime \prime } = T ^ { 1 } \times \ldots \times T ^ { 1 }$ ; confidence 0.167 |
| − | 37. https://www.encyclopediaofmath.org/legacyimages/ | + | 37. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058680/l058680100.png ; $u = \mathfrak { l } + \dot { \mathfrak { i } } \mathfrak { u }$ ; confidence 0.153 |
| − | 38. https://www.encyclopediaofmath.org/legacyimages/ | + | 38. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074640/p07464012.png ; $\phi ( x , g h ) = \phi ( x , g ) h , \quad x \in U , \quad g , h \in G$ ; confidence 0.910 |
| − | 39. https://www.encyclopediaofmath.org/legacyimages/ | + | 39. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085900/s08590021.png ; $F _ { i } ( X _ { 1 } , \ldots , X _ { m } ) = 0 , \quad i = 1 , \ldots , n$ ; confidence 0.562 |
| − | 40. https://www.encyclopediaofmath.org/legacyimages/ | + | 40. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087060/s08706043.png ; $K _ { 1 } ( R ) = \operatorname { lim } GL _ { n } ( R ) / E _ { n } ( R )$ ; confidence 0.598 |
| − | 41. https://www.encyclopediaofmath.org/legacyimages/ | + | 41. https://www.encyclopediaofmath.org/legacyimages/w/w098/w098100/w098100169.png ; $X ^ { n } + Y ^ { n } = \sum _ { \vec { d } | n } d r _ { d } ( X , Y ) ^ { n / d }$ ; confidence 0.367 |
| − | 42. https://www.encyclopediaofmath.org/legacyimages/ | + | 42. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700272.png ; $a \circ b = \Phi ^ { - 1 } ( \Phi ( \alpha ) \times \Phi ( b ) )$ ; confidence 0.109 |
| − | 43. https://www.encyclopediaofmath.org/legacyimages/ | + | 43. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700206.png ; $\operatorname { dim } _ { k } H ^ { 2 } ( X _ { 0 } , O _ { X _ { 0 } } )$ ; confidence 0.730 |
| − | 44. https://www.encyclopediaofmath.org/legacyimages/ | + | 44. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830267.png ; $\theta = \Pi _ { i } \partial _ { i } ^ { e _ { i } ^ { e _ { i } } }$ ; confidence 0.142 |
| − | 45. https://www.encyclopediaofmath.org/legacyimages/ | + | 45. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830165.png ; $( t _ { 1 } , \ldots , t _ { n } ) \rightarrow F ( 0 , \ldots , 0 )$ ; confidence 0.263 |
| − | 46. https://www.encyclopediaofmath.org/legacyimages/ | + | 46. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120255.png ; $h ( \phi ) = k ( - \phi ) , \quad \sigma \leq \phi \leq 2 \pi$ ; confidence 0.997 |
| − | 47. https://www.encyclopediaofmath.org/legacyimages/ | + | 47. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e03696057.png ; $F _ { 0 } [ ( y _ { j } \theta ) _ { j \in J , \theta \in \Theta } ]$ ; confidence 0.526 |
| − | 48. https://www.encyclopediaofmath.org/legacyimages/ | + | 48. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082049.png ; $F _ { 1 } ( X _ { 1 } , \ldots , X _ { x } , Y _ { 1 } , \ldots , Y _ { n } )$ ; confidence 0.336 |
| − | 49. https://www.encyclopediaofmath.org/legacyimages/ | + | 49. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082050.png ; $F _ { n } ( X _ { 1 } , \ldots , X _ { n } , Y _ { 1 } , \ldots , Y _ { n } )$ ; confidence 0.552 |
| − | 50. https://www.encyclopediaofmath.org/legacyimages/ | + | 50. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797021.png ; $\delta ^ { * } : A ^ { * } \otimes A ^ { * } \rightarrow A ^ { * }$ ; confidence 0.724 |
| − | 51. https://www.encyclopediaofmath.org/legacyimages/ | + | 51. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058470/l05847062.png ; $\rho : \mathfrak { g } \rightarrow \mathfrak { g } [ ( V )$ ; confidence 0.317 |
| − | 52. https://www.encyclopediaofmath.org/legacyimages/ | + | 52. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872010.png ; $( x + y ) ^ { [ p ] } = x ^ { [ p ] } + y ^ { [ p ] } + \Lambda _ { p } ( x , y )$ ; confidence 0.977 |
| − | 53. https://www.encyclopediaofmath.org/legacyimages/ | + | 53. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872068.png ; $\{ \mathfrak { e } _ { 1 } , \mathfrak { e } _ { 2 } , \ldots \}$ ; confidence 0.391 |
| − | 54. https://www.encyclopediaofmath.org/legacyimages/ | + | 54. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059250/l05925025.png ; $\{ 0 \} \subset V _ { 1 } \subset \ldots \subset V _ { m } = V$ ; confidence 0.850 |
| − | 55. https://www.encyclopediaofmath.org/legacyimages/ | + | 55. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690032.png ; $\alpha \in C ^ { 0 } , \quad b \in C ^ { 1 } , \quad c \in C ^ { 2 }$ ; confidence 0.207 |
| − | 56. https://www.encyclopediaofmath.org/legacyimages/ | + | 56. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690012.png ; $C ^ { * } = ( C ^ { 0 } , C ^ { 1 } , C ^ { 2 } , \rho , \sigma , \delta )$ ; confidence 0.367 |
| − | 57. https://www.encyclopediaofmath.org/legacyimages/ | + | 57. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690057.png ; $\delta ( b ) ( g , h ) = b ( g ) ^ { - 1 } b ( g h ) ( b ( h ) ^ { g } ) ^ { - 1 }$ ; confidence 0.990 |
| − | 58. https://www.encyclopediaofmath.org/legacyimages/ | + | 58. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q07631097.png ; $\Delta ( \alpha ) = \alpha \otimes 1 + 1 \otimes \alpha$ ; confidence 0.891 |
| − | 59. https://www.encyclopediaofmath.org/legacyimages/ | + | 59. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004030.png ; $X _ { g } = \operatorname { Sp } ( 2 g , Z ) \backslash H _ { g }$ ; confidence 0.844 |
| − | 60. https://www.encyclopediaofmath.org/legacyimages/ | + | 60. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590461.png ; $F ( x , y , \lambda ) = \Phi _ { \mu + 1 } ( x , \lambda ) - y ^ { 2 }$ ; confidence 0.999 |
| − | 61. https://www.encyclopediaofmath.org/legacyimages/ | + | 61. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t13013089.png ; $( T , X ) = 0 = \operatorname { Ext } _ { \gamma } ^ { 1 } ( T , X )$ ; confidence 0.465 |
| − | 62. https://www.encyclopediaofmath.org/legacyimages/ | + | 62. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700139.png ; $\kappa ^ { \prime } \cong \kappa \otimes O \Lambda$ ; confidence 0.541 |
| − | 63. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/ | + | 63. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120505.png ; $\{ F _ { \alpha } , G _ { \alpha } , ( \ldots ) _ { \alpha } \}$ ; confidence 0.433 |
| − | 64. https://www.encyclopediaofmath.org/legacyimages/ | + | 64. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082041.png ; $D ^ { X } : B \rightarrow \operatorname { nil } ( B ) ^ { n }$ ; confidence 0.143 |
| − | 65. https://www.encyclopediaofmath.org/legacyimages/ | + | 65. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820128.png ; $\gamma ( T ) + F \delta ( T ) = F ( \gamma ( T ) , \delta ( T ) )$ ; confidence 0.948 |
| − | 66. https://www.encyclopediaofmath.org/legacyimages/ | + | 66. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797023.png ; $\mu ^ { * } : A ^ { * } \rightarrow A ^ { * } \otimes A ^ { * }$ ; confidence 0.991 |
| − | 67. https://www.encyclopediaofmath.org/legacyimages/ | + | 67. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058500/l0585009.png ; $\mathfrak { g } = \sum _ { i = 1 } ^ { k } \mathfrak { g } _ { i }$ ; confidence 0.468 |
| − | 68. https://www.encyclopediaofmath.org/legacyimages/ | + | 68. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l05851094.png ; $\mathfrak { h } _ { 1 } \rightarrow \mathfrak { h } _ { 2 }$ ; confidence 0.774 |
| − | 69. https://www.encyclopediaofmath.org/legacyimages/ | + | 69. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058520/l05852014.png ; $\{ \mathfrak { s } _ { 1 } ^ { \prime } \} _ { 0 } \leq i \leq m$ ; confidence 0.121 |
| − | 70. https://www.encyclopediaofmath.org/legacyimages/ | + | 70. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058680/l05868024.png ; $\operatorname { exp } : \mathfrak { h } \rightarrow G$ ; confidence 0.936 |
| − | 71. https://www.encyclopediaofmath.org/legacyimages/ | + | 71. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058680/l05868086.png ; $Z _ { g } \cong \Gamma _ { 1 } ( f _ { 0 } ) / \Gamma _ { 0 } [ e , t ]$ ; confidence 0.072 |
| − | 72. https://www.encyclopediaofmath.org/legacyimages/ | + | 72. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058680/l05868033.png ; $\Gamma _ { 0 } \subset \Gamma ( G ) \subset \Gamma _ { 1 }$ ; confidence 0.991 |
| − | 73. https://www.encyclopediaofmath.org/legacyimages/ | + | 73. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058400/l0584006.png ; $\operatorname { exp } : \mathfrak { g } \rightarrow G$ ; confidence 0.996 |
| − | 74. https://www.encyclopediaofmath.org/legacyimages/ | + | 74. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058760/l05876046.png ; $[ X _ { i } , X _ { j } ] = \sum _ { k = 1 } ^ { r } c _ { i j } ^ { k } X _ { k }$ ; confidence 0.608 |
| − | 75. https://www.encyclopediaofmath.org/legacyimages/ | + | 75. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690055.png ; $( \rho ( \alpha ) ( b ) ) ( g ) = \alpha b ( g ) ( a ^ { g } ) ^ { - 1 }$ ; confidence 0.492 |
| − | 76. https://www.encyclopediaofmath.org/legacyimages/ | + | 76. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072670/p07267050.png ; $f ^ { \prime } ( O _ { X ^ { \prime } } ) = O _ { S ^ { \prime } }$ ; confidence 0.802 |
| − | 77. https://www.encyclopediaofmath.org/legacyimages/ | + | 77. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081030/r081030104.png ; $O _ { \gamma } \subset \Delta \backslash \Delta _ { 0 }$ ; confidence 0.964 |
| − | 78. https://www.encyclopediaofmath.org/legacyimages/ | + | 78. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004058.png ; $\overline { D } _ { S } \rightarrow \overline { D } _ { T }$ ; confidence 0.534 |
| − | 79. https://www.encyclopediaofmath.org/legacyimages/ | + | 79. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s0855908.png ; $U ( \zeta , R ) = \{ z \in \overline { C } : | z - \zeta | < R \}$ ; confidence 0.957 |
| − | 80. https://www.encyclopediaofmath.org/legacyimages/ | + | 80. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590133.png ; $V ( \alpha ) = \{ z \in \overline { C } : | z - \alpha | < R \}$ ; confidence 0.668 |
| − | 81. https://www.encyclopediaofmath.org/legacyimages/ | + | 81. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054034.png ; $w ( \alpha ) = x ( \alpha ) y ( - \alpha ^ { - 1 } ) x ( \alpha )$ ; confidence 0.832 |
| − | 82. https://www.encyclopediaofmath.org/legacyimages/ | + | 82. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t13013037.png ; $X = \{ C : \operatorname { Hom } _ { \Lambda } ( C , Y ) = 0 \}$ ; confidence 0.907 |
| − | 83. https://www.encyclopediaofmath.org/legacyimages/ | + | 83. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t13013088.png ; $\operatorname { Ext } _ { \mathscr { H } } ^ { 1 } ( T , T ) = 0$ ; confidence 0.420 |
| − | 84. https://www.encyclopediaofmath.org/legacyimages/ | + | 84. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t13013030.png ; $F = \{ C : \operatorname { Hom } _ { \Lambda } ( T , C ) = 0 \}$ ; confidence 0.896 |
| − | 85. https://www.encyclopediaofmath.org/legacyimages/ | + | 85. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t13013070.png ; $( T , ) : D ^ { b } ( \Lambda ) \rightarrow D ^ { b } ( \Gamma )$ ; confidence 0.335 |
| − | 86. https://www.encyclopediaofmath.org/legacyimages/ | + | 86. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014065.png ; $: G 1 _ { Q } ( d ) \times A _ { Q } ( d ) \rightarrow A _ { Q } ( d )$ ; confidence 0.120 |
| − | 87. https://www.encyclopediaofmath.org/legacyimages/ | + | 87. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095410/u09541032.png ; $\operatorname { exp } : \mathfrak { u } \rightarrow U$ ; confidence 0.973 |
| − | 88. https://www.encyclopediaofmath.org/legacyimages/ | + | 88. https://www.encyclopediaofmath.org/legacyimages/w/w098/w098100/w098100197.png ; $f _ { x } = \sigma ( x ) f , \quad V _ { x } = \sigma ^ { - 1 } ( x ) V$ ; confidence 0.692 |
| − | 89. https://www.encyclopediaofmath.org/legacyimages/ | + | 89. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020570/c02057048.png ; $s = h _ { 1 } ( s _ { 1 } ) _ { x } + \ldots + h _ { N } ( s _ { N } ) _ { x }$ ; confidence 0.366 |
| − | 90. https://www.encyclopediaofmath.org/legacyimages/ | + | 90. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700216.png ; $\mathscr { O } _ { S , s _ { 0 } } \simeq \hat { M } _ { X _ { 0 } }$ ; confidence 0.574 |
| − | 91. https://www.encyclopediaofmath.org/legacyimages/ | + | 91. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120295.png ; $\| f \| = \operatorname { max } _ { z \in G _ { p } } | f ( z ) |$ ; confidence 0.795 |
| − | 92. https://www.encyclopediaofmath.org/legacyimages/ | + | 92. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120224.png ; $\operatorname { Ext } _ { c } ^ { n - p + 1 } ( Y ; F , \Omega )$ ; confidence 0.597 |
| − | 93. https://www.encyclopediaofmath.org/legacyimages/ | + | 93. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e03696033.png ; $( \theta \alpha _ { i } ) _ { i \in I , \theta \in \Theta }$ ; confidence 0.719 |
| − | 94. https://www.encyclopediaofmath.org/legacyimages/h/h047/ | + | 94. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047410/h047410136.png ; $\dot { x } \square ^ { 2 } + \dot { y } \square ^ { 2 } \neq 0$ ; confidence 0.459 |
| − | 95. https://www.encyclopediaofmath.org/legacyimages/ | + | 95. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058480/l05848032.png ; $\phi _ { e } : A \rightarrow A / \mathfrak { m } _ { \ell }$ ; confidence 0.383 |
| − | 96. https://www.encyclopediaofmath.org/legacyimages/ | + | 96. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690079.png ; $\sigma ( f ) ( \beta ) = ( \operatorname { Ad } f ) \beta$ ; confidence 0.579 |
| − | 97. https://www.encyclopediaofmath.org/legacyimages/ | + | 97. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690095.png ; $\rightarrow H ^ { 1 } ( G , B ) \rightarrow H ^ { 1 } ( G , A )$ ; confidence 0.984 |
| − | 98. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/ | + | 98. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590373.png ; $x _ { 0 } ^ { \mu + 1 } + x _ { 1 } ^ { 2 } + \ldots + x _ { n } ^ { 2 } = 0$ ; confidence 0.952 |
| − | 99. https://www.encyclopediaofmath.org/legacyimages/ | + | 99. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590122.png ; $f _ { 0 } ( z ) = \sum _ { k = 0 } ^ { \infty } b ^ { k } z ^ { d ^ { k } }$ ; confidence 0.687 |
| − | 100. https://www.encyclopediaofmath.org/legacyimages/ | + | 100. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590227.png ; $\zeta = ( \zeta _ { 1 } , \ldots , \zeta _ { n } ) \in C ^ { n }$ ; confidence 0.582 |
| − | 101. https://www.encyclopediaofmath.org/legacyimages/ | + | 101. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095400/u09540041.png ; $\sum _ { i = 1 } ^ { j } m _ { i } \geq \sum _ { i = 1 } ^ { j } l _ { i }$ ; confidence 0.947 |
| − | 102. https://www.encyclopediaofmath.org/legacyimages/ | + | 102. https://www.encyclopediaofmath.org/legacyimages/w/w098/w098100/w098100175.png ; $V _ { m } f _ { n } = f _ { n } V _ { m } \quad \text { if } ( n , m ) = 1$ ; confidence 0.135 |
| − | 103. https://www.encyclopediaofmath.org/legacyimages/ | + | 103. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145076.png ; $\operatorname { deg } K _ { X } = ( X ) ^ { 2 } + ( X . K _ { F } )$ ; confidence 0.674 |
| − | 104. https://www.encyclopediaofmath.org/legacyimages/ | + | 104. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164049.png ; $q ( V ) = \operatorname { dim } _ { k } H ^ { 1 } ( V , O _ { V } )$ ; confidence 0.987 |
| − | 105. https://www.encyclopediaofmath.org/legacyimages/d/ | + | 105. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031640/d03164011.png ; $\omega = ( a _ { 0 } , \ldots , a _ { n } , \ldots ) \in W ( k )$ ; confidence 0.228 |
| − | 106. https://www.encyclopediaofmath.org/legacyimages/ | + | 106. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e036960185.png ; $( F \langle \alpha \rangle / F ) \rightarrow W _ { K }$ ; confidence 0.521 |
| − | 107. https://www.encyclopediaofmath.org/legacyimages/ | + | 107. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820162.png ; $F _ { \pi } ( X , Y ) = f \pi ^ { 1 } ( f \pi ( X ) + f _ { \pi } ( Y ) )$ ; confidence 0.543 |
| − | 108. https://www.encyclopediaofmath.org/legacyimages/ | + | 108. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047410/h047410142.png ; $( x , y ) = \{ ( \xi , \eta ) : F ( x , y , \xi , \eta ) \leq 1 \}$ ; confidence 0.987 |
| − | 109. https://www.encyclopediaofmath.org/legacyimages/ | + | 109. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063010/m06301058.png ; $F ( x _ { 1 } e _ { 1 } + \square _ { \cdots } + x _ { x } e _ { x } )$ ; confidence 0.221 |
| − | 110. https://www.encyclopediaofmath.org/legacyimages/ | + | 110. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q07631043.png ; $\Delta ( x _ { j } ) = \sum _ { k } x _ { i k } \otimes x _ { k j }$ ; confidence 0.404 |
| − | 111. https://www.encyclopediaofmath.org/legacyimages/ | + | 111. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q076310145.png ; $\Delta ( t _ { j } ) = \sum _ { k } t _ { i k } \otimes t _ { k j }$ ; confidence 0.449 |
| − | 112. https://www.encyclopediaofmath.org/legacyimages/ | + | 112. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q07631055.png ; $\{ \alpha , b c \} = \{ \alpha , b \} c + \{ \alpha , c \} b$ ; confidence 0.756 |
| − | 113. https://www.encyclopediaofmath.org/legacyimages/ | + | 113. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590139.png ; $V ^ { \prime } ( \infty ) = \{ z \in C : | z - \alpha | > R \}$ ; confidence 0.435 |
| − | 114. https://www.encyclopediaofmath.org/legacyimages/s/ | + | 114. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054036.png ; $\{ \alpha , b \} = h ( a b ) h ( \alpha ) ^ { - 1 } h ( b ) ^ { - 1 }$ ; confidence 0.214 |
| − | 115. https://www.encyclopediaofmath.org/legacyimages/ | + | 115. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t13013050.png ; $( T , ) : \operatorname { mod } \Lambda \rightarrow$ ; confidence 0.816 |
| − | 116. https://www.encyclopediaofmath.org/legacyimages/ | + | 116. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014042.png ; $K _ { 0 } ( Q ) = K _ { 0 } ( \operatorname { rep } _ { K } ( Q ) )$ ; confidence 0.940 |
| − | 117. https://www.encyclopediaofmath.org/legacyimages/ | + | 117. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011740/a01174032.png ; $T \mapsto \operatorname { Aut } _ { T } ( X \times T )$ ; confidence 0.864 |
| − | 118. https://www.encyclopediaofmath.org/legacyimages/ | + | 118. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120222.png ; $\operatorname { Ext } _ { c } ^ { x - p } ( Y ; F , \Omega )$ ; confidence 0.357 |
| − | 119. https://www.encyclopediaofmath.org/legacyimages/ | + | 119. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820155.png ; $\alpha _ { \gamma } ( \gamma _ { 0 } ( T ) ) = \gamma ( T )$ ; confidence 0.883 |
| − | 120. https://www.encyclopediaofmath.org/legacyimages/ | + | 120. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047410/h0474106.png ; $f ( t _ { 1 } , \ldots , t _ { k } , x _ { 1 } , \ldots , x _ { N } )$ ; confidence 0.252 |
| − | 121. https://www.encyclopediaofmath.org/legacyimages/ | + | 121. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047410/h04741068.png ; $\mathfrak { a } \subset k [ X _ { 1 } , \ldots , X _ { n } ]$ ; confidence 0.507 |
| − | 122. https://www.encyclopediaofmath.org/legacyimages/ | + | 122. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h047970135.png ; $f ^ { * } g = m _ { A } \circ ( f \otimes g ) \circ \mu _ { C }$ ; confidence 0.605 |
| − | 123. https://www.encyclopediaofmath.org/legacyimages/ | + | 123. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054270/j05427084.png ; $\mathfrak { g } _ { 1 } = [ \mathfrak { g } _ { 0 } , p ] + k p$ ; confidence 0.395 |
| − | 124. https://www.encyclopediaofmath.org/legacyimages/ | + | 124. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120030/k1200302.png ; $\operatorname { Ric } ( \omega ) = \lambda \omega$ ; confidence 0.996 |
| − | 125. https://www.encyclopediaofmath.org/legacyimages/ | + | 125. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l05851097.png ; $\mathfrak { g } _ { 1 } \rightarrow \mathfrak { g } 2$ ; confidence 0.364 |
| − | 126. https://www.encyclopediaofmath.org/legacyimages/l/l058/ | + | 126. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058520/l05852042.png ; $\rho ( \mathfrak { g } ) \subset \mathfrak { b } ( F )$ ; confidence 0.547 |
| − | 127. https://www.encyclopediaofmath.org/legacyimages/ | + | 127. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872057.png ; $\phi ( x ^ { [ p ] } ) = ( \phi ( x ) ) ^ { [ p ] } , \quad x \in L$ ; confidence 0.926 |
| − | 128. https://www.encyclopediaofmath.org/legacyimages/ | + | 128. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058760/l05876017.png ; $\xi _ { i j } ( x ) = \partial f _ { j } / \partial g ( e , x )$ ; confidence 0.981 |
| − | 129. https://www.encyclopediaofmath.org/legacyimages/ | + | 129. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q076310122.png ; $R ^ { 12 } = \sum _ { i } x _ { i } \otimes y _ { i } \otimes 1$ ; confidence 0.855 |
| − | 130. https://www.encyclopediaofmath.org/legacyimages/ | + | 130. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q076310124.png ; $R ^ { 23 } = \sum _ { i } 1 \otimes x _ { i } \otimes y _ { i }$ ; confidence 0.885 |
| − | 131. https://www.encyclopediaofmath.org/legacyimages/ | + | 131. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q076310123.png ; $R ^ { 13 } = \sum _ { i } x _ { i } \otimes 1 \otimes y _ { i }$ ; confidence 0.882 |
| − | 132. https://www.encyclopediaofmath.org/legacyimages/ | + | 132. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q076310113.png ; $( \text { id } \otimes \Delta ) ( R ) = R ^ { 13 } R ^ { 12 }$ ; confidence 0.878 |
| − | 133. https://www.encyclopediaofmath.org/legacyimages/ | + | 133. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559049.png ; $\tau _ { 1 } - \epsilon < \tau ^ { \prime } < \tau _ { 1 }$ ; confidence 0.999 |
| − | 134. https://www.encyclopediaofmath.org/legacyimages/ | + | 134. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t1301303.png ; $p \cdot \operatorname { dim } _ { \Lambda } T \leq 1$ ; confidence 0.223 |
| − | 135. https://www.encyclopediaofmath.org/legacyimages/ | + | 135. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041060/f041060146.png ; $\lambda = ( \lambda _ { 1 } , \ldots , \lambda _ { n } )$ ; confidence 0.574 |
| − | 136. https://www.encyclopediaofmath.org/legacyimages/ | + | 136. https://www.encyclopediaofmath.org/legacyimages/w/w098/w098100/w098100173.png ; $V _ { n } V _ { m } = V _ { n m } , \quad f _ { n } f _ { m } = f _ { n m }$ ; confidence 0.509 |
| − | 137. https://www.encyclopediaofmath.org/legacyimages/ | + | 137. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640143.png ; $M ^ { \prime } = \operatorname { dim } S _ { \alpha }$ ; confidence 0.678 |
| − | 138. https://www.encyclopediaofmath.org/legacyimages/ | + | 138. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023470/c02347054.png ; $n _ { \alpha } = \operatorname { dim } R ^ { \alpha }$ ; confidence 0.918 |
| − | 139. https://www.encyclopediaofmath.org/legacyimages/ | + | 139. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d03070033.png ; $X \times S S ^ { \prime } \rightarrow S ^ { \prime }$ ; confidence 0.626 |
| − | 140. https://www.encyclopediaofmath.org/legacyimages/ | + | 140. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047410/h04741062.png ; $F ^ { \gamma } = A _ { 1 } F _ { 1 } + \ldots + A _ { m } F _ { m }$ ; confidence 0.375 |
| − | 141. https://www.encyclopediaofmath.org/legacyimages/ | + | 141. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054270/j05427022.png ; $H ( A , j ) = \{ \alpha \in A : \alpha ^ { j } = \alpha \}$ ; confidence 0.158 |
| − | 142. https://www.encyclopediaofmath.org/legacyimages/ | + | 142. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872016.png ; $( \text { ad } x _ { 1 } \ldots \text { ad } x _ { p } - 1 ) x$ ; confidence 0.549 |
| − | 143. https://www.encyclopediaofmath.org/legacyimages/ | + | 143. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690018.png ; $H ^ { 0 } ( C ^ { * } ) = \rho ^ { - 1 } ( \text { Aut } C ^ { 1 } )$ ; confidence 0.868 |
| − | 144. https://www.encyclopediaofmath.org/legacyimages/ | + | 144. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n066900126.png ; $H _ { \alpha } ^ { 2 } ( G , A ) = \theta ^ { - 1 } ( \alpha )$ ; confidence 1.000 |
| − | 145. https://www.encyclopediaofmath.org/legacyimages/ | + | 145. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q076310127.png ; $R ^ { 12 } R ^ { 13 } R ^ { 23 } = R ^ { 23 } R ^ { 13 } R ^ { 12 }$ ; confidence 0.998 |
| − | 146. https://www.encyclopediaofmath.org/legacyimages/ | + | 146. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r07764019.png ; $\int _ { U } \omega \wedge \overline { w } < \infty$ ; confidence 0.401 |
| − | 147. https://www.encyclopediaofmath.org/legacyimages/ | + | 147. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590101.png ; $\Gamma = \{ z \in \overline { C } : | z - \zeta | = R \}$ ; confidence 0.983 |
| − | 148. https://www.encyclopediaofmath.org/legacyimages/ | + | 148. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012290/a01229020.png ; $O ( n , k ) = \{ g \in GL ( n , k ) : \square ^ { t } g g = 1 \}$ ; confidence 0.472 |
| − | 149. https://www.encyclopediaofmath.org/legacyimages/d/ | + | 149. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830303.png ; $B \in R \{ y _ { 1 } , \ldots , y _ { x } \} \backslash R$ ; confidence 0.458 |
| − | 150. https://www.encyclopediaofmath.org/legacyimages/ | + | 150. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830169.png ; $Y _ { n + 1 } G - F \in F \{ Y _ { 1 } , \ldots , Y _ { n + 1 } \}$ ; confidence 0.800 |
| − | 151. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/ | + | 151. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830142.png ; $B _ { 0 } ( \zeta _ { 1 } , \ldots , \zeta _ { k } ) \neq 0$ ; confidence 0.645 |
| − | 152. https://www.encyclopediaofmath.org/legacyimages/ | + | 152. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830253.png ; $R = ( R , \partial _ { 1 } , \ldots , \partial _ { m } )$ ; confidence 0.340 |
| − | 153. https://www.encyclopediaofmath.org/legacyimages/ | + | 153. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830314.png ; $A \in R \{ y _ { 1 } , \ldots , y _ { n } \} \backslash R$ ; confidence 0.579 |
| − | 154. https://www.encyclopediaofmath.org/legacyimages/ | + | 154. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032490/d0324909.png ; $G = F \{ \eta _ { 1 } , \ldots , \eta _ { \nwarrow } \}$ ; confidence 0.083 |
| − | 155. https://www.encyclopediaofmath.org/legacyimages/ | + | 155. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032490/d03249037.png ; $\tau = \operatorname { deg } \omega _ { \eta / F }$ ; confidence 0.965 |
| − | 156. https://www.encyclopediaofmath.org/legacyimages/ | + | 156. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120179.png ; $s ( \hat { \omega } ) = ( - 1 ) ^ { n } \int _ { X } \omega$ ; confidence 0.188 |
| − | 157. https://www.encyclopediaofmath.org/legacyimages/ | + | 157. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120493.png ; $X ^ { * } = ( X ^ { \prime } , \beta ( X ^ { \prime } , X ) )$ ; confidence 0.998 |
| − | 158. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/ | + | 158. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120377.png ; $\omega ( z ) = 1 / \{ 2 \pi i ( \zeta - z _ { 0 } ) ^ { 2 } \}$ ; confidence 0.963 |
| − | 159. https://www.encyclopediaofmath.org/legacyimages/ | + | 159. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120545.png ; $F ( x , y ) \rightarrow \text { inf, } \quad x \in X$ ; confidence 0.965 |
| − | 160. https://www.encyclopediaofmath.org/legacyimages/ | + | 160. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120218.png ; $\operatorname { Ext } ^ { \mu - p } ( K ; F , \Omega )$ ; confidence 0.170 |
| − | 161. https://www.encyclopediaofmath.org/legacyimages/ | + | 161. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120234.png ; $\alpha : H ^ { p } ( X , F ) \rightarrow H ^ { p } ( Y , F )$ ; confidence 0.994 |
| − | 162. https://www.encyclopediaofmath.org/legacyimages/ | + | 162. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120210.png ; $\operatorname { Ext } ^ { \mu - p } ( X ; F , \Omega )$ ; confidence 0.230 |
| − | 163. https://www.encyclopediaofmath.org/legacyimages/ | + | 163. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120208.png ; $\operatorname { Ext } _ { c } ^ { n } ( X ; F , \Omega )$ ; confidence 0.851 |
| − | 164. https://www.encyclopediaofmath.org/legacyimages/ | + | 164. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082086.png ; $\psi ^ { * } F _ { u } ( X , Y ) = F _ { u } ^ { \prime } ( X , Y )$ ; confidence 0.721 |
| − | 165. https://www.encyclopediaofmath.org/legacyimages/f/f040/ | + | 165. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082051.png ; $F _ { i } ( X , 0 ) = X _ { i } , \quad F _ { i } ( 0 , Y ) = Y _ { i }$ ; confidence 0.975 |
| − | 166. https://www.encyclopediaofmath.org/legacyimages/ | + | 166. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052350/i05235028.png ; $f ( x , y ) = a x ^ { 3 } + 3 b x ^ { 2 } y + 3 c x y ^ { 2 } + d y ^ { 3 }$ ; confidence 0.991 |
| − | 167. https://www.encyclopediaofmath.org/legacyimages/ | + | 167. https://www.encyclopediaofmath.org/legacyimages/i/i053/i053060/i0530609.png ; $\mathfrak { g } = \mathfrak { k } + \mathfrak { P }$ ; confidence 0.998 |
| − | 168. https://www.encyclopediaofmath.org/legacyimages/ | + | 168. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l058510150.png ; $\mathfrak { g } = \mathfrak { g } 0 \otimes _ { k } K$ ; confidence 0.427 |
| − | 169. https://www.encyclopediaofmath.org/legacyimages/l/l058/ | + | 169. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l058510120.png ; $\operatorname { dim } \mathfrak { g } = n ( 2 n - 1 )$ ; confidence 0.890 |
| − | 170. https://www.encyclopediaofmath.org/legacyimages/ | + | 170. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l058510115.png ; $\operatorname { dim } \mathfrak { g } = n ( 2 n + 1 )$ ; confidence 0.902 |
| − | 171. https://www.encyclopediaofmath.org/legacyimages/ | + | 171. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058520/l05852017.png ; $\mathfrak { g } _ { \mathfrak { i } } ^ { \prime } + 1$ ; confidence 0.346 |
| − | 172. https://www.encyclopediaofmath.org/legacyimages/ | + | 172. https://www.encyclopediaofmath.org/legacyimages/g/g110/g110110/g1101103.png ; $\mathfrak { g } = \mathfrak { k } + \mathfrak { p }$ ; confidence 0.994 |
| − | 173. https://www.encyclopediaofmath.org/legacyimages/ | + | 173. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690031.png ; $( \delta b ) _ { i j k } = b _ { j } b _ { j k } b _ { i k } ^ { - 1 }$ ; confidence 0.385 |
| − | 174. https://www.encyclopediaofmath.org/legacyimages/ | + | 174. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n066900115.png ; $( m , \phi ) \sim ( m ^ { \prime } , \phi ^ { \prime } )$ ; confidence 0.996 |
| − | 175. https://www.encyclopediaofmath.org/legacyimages/ | + | 175. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690014.png ; $\sigma : C ^ { 0 } \rightarrow \text { Aut } C ^ { 2 }$ ; confidence 0.563 |
| − | 176. https://www.encyclopediaofmath.org/legacyimages/ | + | 176. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r07764096.png ; $\phi : \text { Def } Y \rightarrow \text { Def } X$ ; confidence 0.355 |
| − | 177. https://www.encyclopediaofmath.org/legacyimages/ | + | 177. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590463.png ; $f ( x , y ) = x ^ { m - 1 } - x y ^ { 2 } = x ( x ^ { m - 2 } - y ^ { 2 } )$ ; confidence 0.996 |
| − | 178. https://www.encyclopediaofmath.org/legacyimages/ | + | 178. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t130130103.png ; $\operatorname { Ext } _ { \Delta } ^ { i } ( T , T ) = 0$ ; confidence 0.343 |
| − | 179. https://www.encyclopediaofmath.org/legacyimages/ | + | 179. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t1301304.png ; $\operatorname { Ext } _ { \Delta } ^ { 1 } ( T , T ) = 0$ ; confidence 0.420 |
| − | 180. https://www.encyclopediaofmath.org/legacyimages/ | + | 180. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014064.png ; $G l _ { Q } ( d ) = \prod _ { j \in Q _ { 0 } } Gl ( v _ { j } , K )$ ; confidence 0.225 |
| − | 181. https://www.encyclopediaofmath.org/legacyimages/ | + | 181. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095410/u09541051.png ; $G _ { \alpha } \times \ldots \times G _ { \alpha }$ ; confidence 0.300 |
| − | 182. https://www.encyclopediaofmath.org/legacyimages/ | + | 182. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095410/u09541040.png ; $U = U _ { 1 } \supset \ldots \supset U _ { s } = \{ e \}$ ; confidence 0.931 |
| − | 183. https://www.encyclopediaofmath.org/legacyimages/ | + | 183. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090164.png ; $E ^ { \otimes r } \rightarrow \Delta ( \lambda )$ ; confidence 0.978 |
| − | 184. https://www.encyclopediaofmath.org/legacyimages/ | + | 184. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145087.png ; $l ( D ) - l ( K - D ) = \operatorname { deg } ( D ) - g + 1$ ; confidence 0.964 |
| − | 185. https://www.encyclopediaofmath.org/legacyimages/ | + | 185. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640127.png ; $M = 10 p _ { t x } - p _ { g } - 2 p ^ { ( 1 ) } + 12 + \theta$ ; confidence 0.369 |
| − | 186. https://www.encyclopediaofmath.org/legacyimages/ | + | 186. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640140.png ; $H ^ { 2 } ( V , E _ { \alpha } ) \geq 2 p _ { g } - p _ { x } - 1$ ; confidence 0.616 |
| − | 187. https://www.encyclopediaofmath.org/legacyimages/ | + | 187. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a014170141.png ; $\rho : K \rightarrow \operatorname { GL } ( V )$ ; confidence 0.653 |
| − | 188. https://www.encyclopediaofmath.org/legacyimages/ | + | 188. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a01417058.png ; $C ( f _ { 1 } , \ldots , f _ { n } ) \subset K ( \Gamma )$ ; confidence 0.356 |
| − | 189. https://www.encyclopediaofmath.org/legacyimages/ | + | 189. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d03070032.png ; $f ( \mathfrak { o } ^ { \prime } ) = \mathfrak { o }$ ; confidence 0.466 |
| − | 190. https://www.encyclopediaofmath.org/legacyimages/ | + | 190. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120159.png ; $H _ { r } ( A , X ) \sim H _ { r + 1 } ( R \backslash A , X )$ ; confidence 0.499 |
| − | 191. https://www.encyclopediaofmath.org/legacyimages/ | + | 191. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e03696059.png ; $( y _ { j } \theta ) _ { j \in J , \theta \in \Theta }$ ; confidence 0.633 |
| − | 192. https://www.encyclopediaofmath.org/legacyimages/ | + | 192. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082095.png ; $\alpha ( F ( X , Y ) ) = G ( \alpha ( X ) , \alpha ( Y ) )$ ; confidence 0.998 |
| − | 193. https://www.encyclopediaofmath.org/legacyimages/ | + | 193. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820205.png ; $f ( p ) ( X ) = X + a _ { p } X ^ { p } + a _ { p } 2 X ^ { p ^ { 2 } } +$ ; confidence 0.909 |
| − | 194. https://www.encyclopediaofmath.org/legacyimages/ | + | 194. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082048.png ; $X _ { 1 } , \ldots , X _ { X } , Y _ { 1 } , \ldots , Y _ { X }$ ; confidence 0.160 |
| − | 195. https://www.encyclopediaofmath.org/legacyimages/ | + | 195. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l058510105.png ; $\operatorname { dim } \mathfrak { g } = n ( n + 2 )$ ; confidence 0.881 |
| − | 196. https://www.encyclopediaofmath.org/legacyimages/ | + | 196. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l058510186.png ; $\mathfrak { g } 0 = \mathfrak { s o } ( p , 2 n + 1 - p )$ ; confidence 0.237 |
| − | 197. https://www.encyclopediaofmath.org/legacyimages/ | + | 197. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058680/l05868041.png ; $\pi _ { 1 } ( G ) \cong \Gamma ( G ) / \Gamma _ { 0 }$ ; confidence 0.992 |
| − | 198. https://www.encyclopediaofmath.org/legacyimages/ | + | 198. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023140/c023140210.png ; $\rho : G \rightarrow \operatorname { GL } ( V )$ ; confidence 0.678 |
| − | 199. https://www.encyclopediaofmath.org/legacyimages/ | + | 199. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q07631036.png ; $[ x _ { i l } , x _ { k j } ] = ( q ^ { - 1 } - q ) x _ { j } x _ { k l }$ ; confidence 0.406 |
| − | 200. https://www.encyclopediaofmath.org/legacyimages/ | + | 200. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077630/r07763023.png ; $\phi : G \rightarrow \operatorname { GL } ( V )$ ; confidence 0.578 |
| − | 201. https://www.encyclopediaofmath.org/legacyimages/ | + | 201. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081030/r08103092.png ; $( n _ { \alpha } + 1 ) \alpha \notin \Phi _ { k } ( G )$ ; confidence 0.771 |
| − | 202. https://www.encyclopediaofmath.org/legacyimages/ | + | 202. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081030/r081030109.png ; $\alpha \in \Delta ( \gamma ) \cap O _ { \gamma }$ ; confidence 0.992 |
| − | 203. https://www.encyclopediaofmath.org/legacyimages/ | + | 203. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590284.png ; $P = \{ z = ( z _ { 1 } , z _ { 2 } ) \in C ^ { 2 } : z _ { 2 } = 0 \}$ ; confidence 0.988 |
| − | 204. https://www.encyclopediaofmath.org/legacyimages/ | + | 204. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590308.png ; $f \mathfrak { m } ^ { 2 } = \operatorname { dim } A$ ; confidence 0.253 |
| − | 205. https://www.encyclopediaofmath.org/legacyimages/ | + | 205. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590167.png ; $f ( z ) = \frac { 1 } { ( 1 + z ^ { 1 / 2 } ) ( 1 + z ^ { 1 / 6 } ) }$ ; confidence 0.999 |
| − | 206. https://www.encyclopediaofmath.org/legacyimages/ | + | 206. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090186.png ; $\operatorname { Ind } _ { \overline { H } } ^ { G }$ ; confidence 0.452 |
| − | 207. https://www.encyclopediaofmath.org/legacyimages/ | + | 207. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090116.png ; $\Delta ( \lambda ) = K GL _ { n } ( K ) z _ { \lambda }$ ; confidence 0.499 |
| − | 208. https://www.encyclopediaofmath.org/legacyimages/ | + | 208. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090356.png ; $\{ x _ { \alpha } ( t ) : t \in K , \alpha \in \Phi \}$ ; confidence 0.553 |
| − | 209. https://www.encyclopediaofmath.org/legacyimages/ | + | 209. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145045.png ; $\pi = \operatorname { dim } H ^ { 1 } ( X , O _ { X } )$ ; confidence 0.980 |
| − | 210. https://www.encyclopediaofmath.org/legacyimages/a/ | + | 210. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011530/a01153013.png ; $P ( \alpha _ { 1 } , \ldots , \alpha _ { N } ) \neq 0$ ; confidence 0.251 |
| − | 211. https://www.encyclopediaofmath.org/legacyimages/ | + | 211. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031550/d03155058.png ; $\hat { \phi } : \hat { H } \rightarrow \hat { G }$ ; confidence 0.723 |
| − | 212. https://www.encyclopediaofmath.org/legacyimages/ | + | 212. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d03183040.png ; $\Sigma \subset F \{ Y _ { 1 } , \ldots , Y _ { N } \}$ ; confidence 0.440 |
| − | 213. https://www.encyclopediaofmath.org/legacyimages/ | + | 213. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830140.png ; $B _ { 0 } ( \eta _ { 1 } , \ldots , \eta _ { k } ) \neq 0$ ; confidence 0.724 |
| − | 214. https://www.encyclopediaofmath.org/legacyimages/ | + | 214. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120200.png ; $\operatorname { Ext } _ { \Psi } ^ { n - p } ( X ; F )$ ; confidence 0.835 |
| − | 215. https://www.encyclopediaofmath.org/legacyimages/ | + | 215. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120542.png ; $f ( x ) \rightarrow \text { inf, } \quad x \in X$ ; confidence 0.973 |
| − | 216. https://www.encyclopediaofmath.org/legacyimages/ | + | 216. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040270/f04027012.png ; $| G | = p _ { 1 } ^ { n _ { 1 } } \ldots p _ { k } ^ { n _ { k } }$ ; confidence 0.744 |
| − | 217. https://www.encyclopediaofmath.org/legacyimages/ | + | 217. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040370/f04037021.png ; $q + 1 \leq k \leq \operatorname { prof } F - p + 1$ ; confidence 0.687 |
| − | 218. https://www.encyclopediaofmath.org/legacyimages/ | + | 218. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047410/h047410109.png ; $\beta = \alpha \cdot \sigma ( \alpha ) ^ { - 1 }$ ; confidence 0.924 |
| − | 219. https://www.encyclopediaofmath.org/legacyimages/ | + | 219. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054340/j05434031.png ; $+ \operatorname { rk } ( A - \lambda E ) ^ { m + 1 }$ ; confidence 0.935 |
| − | 220. https://www.encyclopediaofmath.org/legacyimages/ | + | 220. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l058510178.png ; $\mathfrak { g } 0 = \mathfrak { s u } ( p , n + 1 - p )$ ; confidence 0.444 |
| − | 221. https://www.encyclopediaofmath.org/legacyimages/ | + | 221. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058480/l05848037.png ; $D \rightarrow \phi _ { \varepsilon } \circ D$ ; confidence 0.258 |
| − | 222. https://www.encyclopediaofmath.org/legacyimages/ | + | 222. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872040.png ; $\operatorname { dim } _ { k } U _ { p } ( L ) = p ^ { n }$ ; confidence 0.777 |
| − | 223. https://www.encyclopediaofmath.org/legacyimages/ | + | 223. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058760/l05876013.png ; $g ( x ) = y = ( y _ { 1 } , \ldots , y _ { x } ) \in \Omega$ ; confidence 0.399 |
| − | 224. https://www.encyclopediaofmath.org/legacyimages/ | + | 224. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690013.png ; $\rho : C ^ { 0 } \rightarrow \text { Aff } C ^ { 1 }$ ; confidence 0.846 |
| − | 225. https://www.encyclopediaofmath.org/legacyimages/ | + | 225. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070010/o07001089.png ; $\operatorname { Fix } g = \{ x \in X : g ( x ) = x \}$ ; confidence 0.571 |
| − | 226. https://www.encyclopediaofmath.org/legacyimages/ | + | 226. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q07631091.png ; $q = \operatorname { exp } h ( H _ { i } , H _ { j } ) / 2$ ; confidence 0.661 |
| − | 227. https://www.encyclopediaofmath.org/legacyimages/ | + | 227. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077630/r07763080.png ; $\phi _ { 1 } \otimes \ldots \otimes \phi _ { d }$ ; confidence 0.978 |
| − | 228. https://www.encyclopediaofmath.org/legacyimages/ | + | 228. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r077640101.png ; $\phi : \operatorname { Def } Y \rightarrow A$ ; confidence 0.641 |
| − | 229. https://www.encyclopediaofmath.org/legacyimages/ | + | 229. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r07764011.png ; $x _ { 0 } ^ { k _ { 0 } } + \ldots + x _ { x } ^ { k _ { n } } = 0$ ; confidence 0.462 |
| − | 230. https://www.encyclopediaofmath.org/legacyimages/ | + | 230. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590409.png ; $\beta _ { v } = ( m _ { v } n ) / ( n _ { 1 } \dots n _ { v } )$ ; confidence 0.618 |
| − | 231. https://www.encyclopediaofmath.org/legacyimages/ | + | 231. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590135.png ; $V ( \infty ) = \{ z \in \overline { C } : | z | > R \}$ ; confidence 0.989 |
| − | 232. https://www.encyclopediaofmath.org/legacyimages/ | + | 232. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t130130124.png ; $\Gamma = \operatorname { End } _ { \Lambda } T$ ; confidence 0.895 |
| − | 233. https://www.encyclopediaofmath.org/legacyimages/ | + | 233. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t13013057.png ; $\operatorname { Ext } _ { \Lambda } ^ { 1 } ( T , )$ ; confidence 0.425 |
| − | 234. https://www.encyclopediaofmath.org/legacyimages/ | + | 234. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097710/w09771046.png ; $X ( T _ { 0 } ) _ { Q } = X ( T _ { 0 } ) \bigotimes _ { Z } Q$ ; confidence 0.369 |
| − | 235. https://www.encyclopediaofmath.org/legacyimages/ | + | 235. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145025.png ; $D = \sum _ { X \in X } n _ { X } x , \quad n _ { X } \in Z$ ; confidence 0.583 |
| − | 236. https://www.encyclopediaofmath.org/legacyimages/a/ | + | 236. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164060.png ; $\dot { i } = \operatorname { dim } | K _ { V } - D |$ ; confidence 0.160 |
| − | 237. https://www.encyclopediaofmath.org/legacyimages/ | + | 237. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031640/d0316407.png ; $F _ { M } ( \omega m ) = \omega ^ { ( p ) } F _ { M } ( m )$ ; confidence 0.963 |
| − | 238. https://www.encyclopediaofmath.org/legacyimages/ | + | 238. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031640/d0316408.png ; $\omega V _ { M } ( m ) = V _ { M } ( \omega ^ { ( p ) } m )$ ; confidence 0.979 |
| − | 239. https://www.encyclopediaofmath.org/legacyimages/ | + | 239. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830279.png ; $u \leq v \Rightarrow \theta u \leq \theta v$ ; confidence 0.592 |
| − | 240. https://www.encyclopediaofmath.org/legacyimages/ | + | 240. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820154.png ; $\alpha _ { \gamma } : \hat { W } \rightarrow F$ ; confidence 0.358 |
| − | 241. https://www.encyclopediaofmath.org/legacyimages/ | + | 241. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797028.png ; $\delta ( x ) = x \bigotimes 1 + 1 \bigotimes x$ ; confidence 0.262 |
| − | 242. https://www.encyclopediaofmath.org/legacyimages/ | + | 242. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054270/j05427039.png ; $S = \operatorname { diag } \{ Q , \ldots , Q \}$ ; confidence 0.623 |
| − | 243. https://www.encyclopediaofmath.org/legacyimages/ | + | 243. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l058510204.png ; $\mathfrak { g } 0 = \mathfrak { s o } ( p , 2 n - p )$ ; confidence 0.141 |
| − | 244. https://www.encyclopediaofmath.org/legacyimages/ | + | 244. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l05851048.png ; $Y _ { \alpha } \in \mathfrak { g } _ { - \alpha }$ ; confidence 0.963 |
| − | 245. https://www.encyclopediaofmath.org/legacyimages/ | + | 245. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l05859083.png ; $\operatorname { exp } : L ( G ) \rightarrow G$ ; confidence 0.986 |
| − | 246. https://www.encyclopediaofmath.org/legacyimages/ | + | 246. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058610/l05861038.png ; $\mathfrak { g } C = \mathfrak { g } \otimes R C$ ; confidence 0.493 |
| − | 247. https://www.encyclopediaofmath.org/legacyimages/ | + | 247. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058680/l05868035.png ; $\Gamma _ { 0 } \subset M \subset \Gamma _ { 1 }$ ; confidence 0.997 |
| − | 248. https://www.encyclopediaofmath.org/legacyimages/ | + | 248. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058680/l05868027.png ; $\Gamma _ { 0 } = \Gamma _ { 0 } ( \mathfrak { g } )$ ; confidence 0.946 |
| − | 249. https://www.encyclopediaofmath.org/legacyimages/l/l058/ | + | 249. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l0587209.png ; $( \lambda x ) ^ { [ p ] } = \lambda ^ { p } x ^ { [ p ] }$ ; confidence 0.579 |
| − | 250. https://www.encyclopediaofmath.org/legacyimages/l/l058/ | + | 250. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872084.png ; $x ^ { [ p ^ { m } ] } = ( x ^ { [ p ^ { m - 1 } ] } ) ^ { [ p ] } = 0$ ; confidence 0.790 |
| − | 251. https://www.encyclopediaofmath.org/legacyimages/ | + | 251. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059250/l05925070.png ; $\Gamma \subset \operatorname { GL } ( n , F )$ ; confidence 0.801 |
| − | 252. https://www.encyclopediaofmath.org/legacyimages/ | + | 252. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074640/p07464011.png ; $\phi : U \times G \rightarrow \pi ^ { - 1 } ( U )$ ; confidence 0.998 |
| − | 253. https://www.encyclopediaofmath.org/legacyimages/ | + | 253. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150023.png ; $x = \lambda ( \theta ) , y = \Delta ( \theta )$ ; confidence 0.878 |
| − | 254. https://www.encyclopediaofmath.org/legacyimages/ | + | 254. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150024.png ; $y ^ { 2 } = ( 1 - c ^ { 2 } x ^ { 2 } ) ( 1 - e ^ { 2 } x ^ { 2 } )$ ; confidence 0.996 |
| − | 255. https://www.encyclopediaofmath.org/legacyimages/ | + | 255. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a014170123.png ; $( x , v ) \gamma = ( x \gamma , j ( x , \gamma ) v )$ ; confidence 0.955 |
| − | 256. https://www.encyclopediaofmath.org/legacyimages/ | + | 256. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031640/d0316409.png ; $F _ { M } ( V _ { M } ( m ) ) = V _ { M } ( F _ { M } ( m ) ) = p m$ ; confidence 0.976 |
| − | 257. https://www.encyclopediaofmath.org/legacyimages/ | + | 257. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830302.png ; $R \{ y _ { 1 } , \ldots , y _ { N } \} \backslash R$ ; confidence 0.377 |
| − | 258. https://www.encyclopediaofmath.org/legacyimages/ | + | 258. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830269.png ; $\operatorname { ord } ( \theta ) = \sum e$ ; confidence 0.833 |
| − | 259. https://www.encyclopediaofmath.org/legacyimages/ | + | 259. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830144.png ; $B ( \zeta _ { 1 } , \ldots , \zeta _ { n } ) \neq 0$ ; confidence 0.692 |
| − | 260. https://www.encyclopediaofmath.org/legacyimages/ | + | 260. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d03183081.png ; $\Phi \subset F \{ Y _ { 1 } , \ldots , Y _ { N } \}$ ; confidence 0.521 |
| − | 261. https://www.encyclopediaofmath.org/legacyimages/ | + | 261. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830175.png ; $\Sigma _ { 1 } , \ldots , \sum _ { p } , \ldots ,$ ; confidence 0.261 |
| − | 262. https://www.encyclopediaofmath.org/legacyimages/ | + | 262. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830346.png ; $( A _ { k } ) < \operatorname { rank } ( B _ { k } )$ ; confidence 0.997 |
| − | 263. https://www.encyclopediaofmath.org/legacyimages/d/ | + | 263. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120117.png ; $H _ { r } ( M ^ { n } , X ) \sim H ^ { n - r } ( M ^ { n } , X )$ ; confidence 0.868 |
| − | 264. https://www.encyclopediaofmath.org/legacyimages/ | + | 264. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040370/f04037020.png ; $q + 1 \leq k \leq \operatorname { prof } F - p$ ; confidence 0.862 |
| − | 265. https://www.encyclopediaofmath.org/legacyimages/ | + | 265. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040370/f04037017.png ; $p \leq k \leq \operatorname { prof } F - q - 1$ ; confidence 0.925 |
| − | 266. https://www.encyclopediaofmath.org/legacyimages/ | + | 266. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g13002049.png ; $e ^ { \beta _ { 1 } } , \ldots , e ^ { \beta _ { n } }$ ; confidence 0.462 |
| − | 267. https://www.encyclopediaofmath.org/legacyimages/ | + | 267. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g13002011.png ; $e ^ { z _ { 1 } + z _ { 2 } } = e ^ { z _ { 1 } } e ^ { z _ { 2 } }$ ; confidence 0.757 |
| − | 268. https://www.encyclopediaofmath.org/legacyimages/ | + | 268. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h04769025.png ; $g ( \alpha H ) = ( g a ) H , \quad g , \alpha \in G$ ; confidence 0.214 |
| − | 269. https://www.encyclopediaofmath.org/legacyimages/ | + | 269. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120030/k1200308.png ; $\operatorname { Ric } ( \omega ) = - \omega$ ; confidence 0.994 |
| − | 270. https://www.encyclopediaofmath.org/legacyimages/ | + | 270. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l05851049.png ; $[ X _ { \alpha } , Y _ { \alpha } ] = H _ { \alpha }$ ; confidence 0.998 |
| − | 271. https://www.encyclopediaofmath.org/legacyimages/ | + | 271. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l05859094.png ; $d f _ { e } : L ( G _ { 1 } ) \rightarrow L ( G _ { 2 } )$ ; confidence 0.485 |
| − | 272. https://www.encyclopediaofmath.org/legacyimages/ | + | 272. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064510/m06451064.png ; $R ^ { 1 } f \times ( Z / n Z ) \cong ( Z / n Z ) ^ { 2 g }$ ; confidence 0.221 |
| − | 273. https://www.encyclopediaofmath.org/legacyimages/ | + | 273. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690021.png ; $Z ^ { 1 } = \delta ^ { - 1 } ( e ) \subseteq C ^ { 1 }$ ; confidence 0.984 |
| − | 274. https://www.encyclopediaofmath.org/legacyimages/ | + | 274. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074720/p07472075.png ; $( x y ) ^ { \gamma } = x ^ { \gamma } y ^ { \gamma }$ ; confidence 0.987 |
| − | 275. https://www.encyclopediaofmath.org/legacyimages/ | + | 275. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081030/r08103076.png ; $\Gamma = \operatorname { Gal } ( k _ { s } / k )$ ; confidence 0.608 |
| − | 276. https://www.encyclopediaofmath.org/legacyimages/ | + | 276. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s1300409.png ; $H ^ { * } = H \cup P ^ { 1 } ( Q ) \subset P ^ { 1 } ( C )$ ; confidence 0.959 |
| − | 277. https://www.encyclopediaofmath.org/legacyimages/ | + | 277. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559048.png ; $z ^ { \prime } = \phi _ { 1 } ( \tau ^ { \prime } )$ ; confidence 0.998 |
| − | 278. https://www.encyclopediaofmath.org/legacyimages/ | + | 278. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085900/s08590024.png ; $\| \partial F _ { i } / \partial X _ { j } ( x ) \|$ ; confidence 0.994 |
| − | 279. https://www.encyclopediaofmath.org/legacyimages/ | + | 279. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087060/s08706034.png ; $\psi _ { t _ { 1 } , \ldots , t _ { x } } ^ { \prime }$ ; confidence 0.085 |
| − | 280. https://www.encyclopediaofmath.org/legacyimages/ | + | 280. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t130140155.png ; $( \operatorname { prin } K I ) \simeq Z ^ { I }$ ; confidence 0.538 |
| − | 281. https://www.encyclopediaofmath.org/legacyimages/ | + | 281. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014030.png ; $\phi _ { \beta } : X _ { i } \rightarrow X _ { j }$ ; confidence 0.994 |
| − | 282. https://www.encyclopediaofmath.org/legacyimages/ | + | 282. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450108.png ; $G _ { n } ^ { \gamma } \geq r ( n - r + 1 ) - ( r - 1 ) g$ ; confidence 0.820 |
| − | 283. https://www.encyclopediaofmath.org/legacyimages/ | + | 283. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145032.png ; $\operatorname { deg } D = \sum _ { X } n _ { X }$ ; confidence 0.244 |
| − | 284. https://www.encyclopediaofmath.org/legacyimages/a/a011/ | + | 284. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150036.png ; $\theta ( v ) = \sum _ { m } e ^ { F ( m ) + 2 ( m , v ) }$ ; confidence 0.669 |
| − | 285. https://www.encyclopediaofmath.org/legacyimages/ | + | 285. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150049.png ; $1 , \ldots , a _ { p } , b _ { 1 } , \ldots , b _ { p }$ ; confidence 0.487 |
| − | 286. https://www.encyclopediaofmath.org/legacyimages/ | + | 286. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150031.png ; $l ( D ) \geq \operatorname { deg } ( D ) - p + 1$ ; confidence 0.998 |
| − | 287. https://www.encyclopediaofmath.org/legacyimages/ | + | 287. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011740/a01174038.png ; $\alpha , b , c \in k , \alpha \neq 0 , c \neq 0$ ; confidence 0.727 |
| − | 288. https://www.encyclopediaofmath.org/legacyimages/ | + | 288. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020570/c02057057.png ; $H ^ { p } ( X , S ) = 0 \quad \text { for } p \geq 1$ ; confidence 0.958 |
| − | 289. https://www.encyclopediaofmath.org/legacyimages/d/ | + | 289. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d03183021.png ; $\tau = \operatorname { deg } \omega _ { V }$ ; confidence 0.992 |
| − | 290. https://www.encyclopediaofmath.org/legacyimages/ | + | 290. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120547.png ; $F : X \times U \rightarrow \overline { R }$ ; confidence 0.962 |
| − | 291. https://www.encyclopediaofmath.org/legacyimages/ | + | 291. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120481.png ; $\operatorname { sup } _ { A } f = f ( \alpha )$ ; confidence 0.497 |
| − | 292. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/ | + | 292. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120446.png ; $( F ^ { \prime } , \sigma ( F ^ { \prime } , F ) )$ ; confidence 0.999 |
| − | 293. https://www.encyclopediaofmath.org/legacyimages/ | + | 293. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e036960138.png ; $\delta _ { i } \alpha = \alpha _ { i } \alpha$ ; confidence 0.442 |
| − | 294. https://www.encyclopediaofmath.org/legacyimages/ | + | 294. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054270/j0542705.png ; $\alpha \circ b = \frac { a b + b \alpha } { 2 }$ ; confidence 0.581 |
| − | 295. https://www.encyclopediaofmath.org/legacyimages/ | + | 295. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054340/j05434037.png ; $\operatorname { rk } ( A - \lambda E ) ^ { 0 }$ ; confidence 0.967 |
| − | 296. https://www.encyclopediaofmath.org/legacyimages/ | + | 296. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120030/k12003029.png ; $\operatorname { Ric } ( \omega ) = \omega$ ; confidence 0.996 |
| − | 297. https://www.encyclopediaofmath.org/legacyimages/ | + | 297. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040052.png ; $\mathfrak { h } \subset \mathfrak { g }$ ; confidence 0.959 |
| − | 298. https://www.encyclopediaofmath.org/legacyimages/ | + | 298. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690084.png ; $\alpha \in R _ { \overline { \zeta } } ^ { 1 }$ ; confidence 0.161 |
| − | 299. https://www.encyclopediaofmath.org/legacyimages/ | + | 299. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074720/p07472084.png ; $( \gamma x ) ^ { g } = ( \gamma ^ { g } ) ( x ^ { g } )$ ; confidence 0.958 |
| − | 300. https://www.encyclopediaofmath.org/legacyimages/ | + | 300. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q076310112.png ; $( \Delta \otimes id ) ( R ) = R ^ { 13 } R ^ { 23 }$ ; confidence 0.501 |
Latest revision as of 16:00, 26 October 2019
List
1. 
; $\Sigma \subset R \{ y _ { 1 } , \ldots , y _ { n } \} \backslash R$ ; confidence 0.488
2. 
; $H ^ { \gamma } ( A , X ) \sim H ^ { \gamma + 1 } ( R \backslash A , X )$ ; confidence 0.364
3. 
; $\exists n _ { 0 } : n \geq n _ { 0 } \Rightarrow G _ { n } \subset G$ ; confidence 0.126
4. 
; $y ] = x y - ( - 1 ) ^ { p q } y x , \quad x \in A _ { p } , \quad y \in A _ { y }$ ; confidence 0.507
5. 
; $( ad X _ { \alpha _ { i } } ) ^ { 1 - n ( i , j ) } ( X _ { \alpha _ { j } } ) = 0$ ; confidence 0.432
6. 
; $\mathfrak { g } 0 = \mathfrak { k } _ { 0 } + \mathfrak { p } _ { 0 }$ ; confidence 0.090
7. 
; $\delta \alpha = d \alpha - \frac { 1 } { 2 } [ \alpha , \alpha ]$ ; confidence 0.991
8. 
; $\Delta ^ { \prime } ( \alpha ) = R . \Delta ( \alpha ) . R ^ { - 1 }$ ; confidence 0.304
9. 
; $T _ { 2 } = 1 \otimes T \in \text { End } ( k ^ { n } \otimes k ^ { n } )$ ; confidence 0.318
10. 
; $\overline { U } ( 0,1 ) = \{ z \in \overline { C } : | z | \leq 1 \}$ ; confidence 0.957
11. 
; $\Gamma = \operatorname { End } _ { \Lambda } ( T ) ^ { \circ p }$ ; confidence 0.240
12. 
; $\operatorname { dim } : K _ { 0 } ( Q ) \rightarrow Z ^ { Q _ { 0 } }$ ; confidence 0.783
13. 
; $\chi _ { R } : K _ { 0 } ( \operatorname { mod } R ) \rightarrow Z$ ; confidence 0.847
14. 
; $\phi ( t ) = \frac { 1 } { i t ( b - \alpha ) } ( e ^ { i t b } - e ^ { i t x } )$ ; confidence 0.594
15. 
; $\pi ^ { \prime } : X ^ { \prime } \rightarrow S ^ { \prime }$ ; confidence 0.952
16. 
; $\omega ^ { ( p ) } = ( a _ { 0 } ^ { p } , \dots , a _ { n } ^ { p } , \dots )$ ; confidence 0.284
17. 
; $\operatorname { Sp } ( k ) \times \operatorname { Sp } ( 1 )$ ; confidence 0.853
18. 
; $\pi ( G , K ) = \sum _ { i = 0 } ^ { \infty } \pi _ { i } ( G ) \otimes K$ ; confidence 0.998
19. 
; $\mathfrak { g } _ { i } / \mathfrak { g } _ { \mathfrak { l } } + 1$ ; confidence 0.230
20. 
; $g \rightarrow A d ( g ) = d _ { e } ( \operatorname { ln } t ( g ) )$ ; confidence 0.610
21. 
; $\mathfrak { g } \subset \mathfrak { g } ^ { \mathfrak { C } }$ ; confidence 0.496
22. 
; $C ^ { k } = \operatorname { Map } ( G ^ { k } , A ) , \quad k = 0,1,2$ ; confidence 0.893
23. 
; $\alpha : H ^ { 1 } ( B , O ^ { G } ) \rightarrow H ^ { 1 } ( B , C ^ { G } )$ ; confidence 0.999
24. 
; $\tau _ { 2 } - \epsilon < \tau ^ { \prime \prime } < \tau _ { 2 }$ ; confidence 0.940
25. 
; $F ( x , y , \lambda ) = x \Phi _ { \mu - 2 } ( x , \lambda ) - x y ^ { 2 }$ ; confidence 0.854
26. 
; $n ^ { 2 } - \sum _ { i j } \operatorname { min } ( m _ { i } , m _ { j } )$ ; confidence 0.738
27. 
; $\frac { d x } { \sqrt { f ( x ) } } = \frac { d y } { \sqrt { f ( y ) } }$ ; confidence 0.999
28. 
; $\operatorname { tim } \operatorname { Aut } ^ { 0 } ( V ) > 0$ ; confidence 0.287
29. 
; $O ^ { p } \rightarrow O ^ { q } \rightarrow S \rightarrow 0$ ; confidence 0.899
30. 
; $\operatorname { Ext } _ { \Psi } ^ { n - p + 1 } ( X ; F , \Omega )$ ; confidence 0.408
31. 
; $A ( z ) = \sum _ { x = 0 } ^ { \infty } \frac { a _ { x } } { n ! } z ^ { N }$ ; confidence 0.156
32. 
; $f ( X ) = X + \alpha _ { 2 } X ^ { 2 } + \alpha _ { 3 } X ^ { 3 } + \ldots$ ; confidence 0.751
33. 
; $f _ { \pi } ( X ) = X + \pi ^ { - 1 } X ^ { q } + \pi ^ { - 2 } X ^ { q ^ { 2 } } +$ ; confidence 0.673
34. 
; $Q ( \alpha ^ { \beta } , \ldots , \alpha ^ { \beta ^ { d - 1 } } )$ ; confidence 0.372
35. 
; $[ D _ { 1 } , D _ { 2 } ] = D _ { 1 } \circ D _ { 2 } - D _ { 2 } \circ D _ { 1 }$ ; confidence 0.999
36. 
; $T ^ { \prime \prime } = T ^ { 1 } \times \ldots \times T ^ { 1 }$ ; confidence 0.167
37. 
; $u = \mathfrak { l } + \dot { \mathfrak { i } } \mathfrak { u }$ ; confidence 0.153
38. 
; $\phi ( x , g h ) = \phi ( x , g ) h , \quad x \in U , \quad g , h \in G$ ; confidence 0.910
39. 
; $F _ { i } ( X _ { 1 } , \ldots , X _ { m } ) = 0 , \quad i = 1 , \ldots , n$ ; confidence 0.562
40. 
; $K _ { 1 } ( R ) = \operatorname { lim } GL _ { n } ( R ) / E _ { n } ( R )$ ; confidence 0.598
41. 
; $X ^ { n } + Y ^ { n } = \sum _ { \vec { d } | n } d r _ { d } ( X , Y ) ^ { n / d }$ ; confidence 0.367
42. 
; $a \circ b = \Phi ^ { - 1 } ( \Phi ( \alpha ) \times \Phi ( b ) )$ ; confidence 0.109
43. 
; $\operatorname { dim } _ { k } H ^ { 2 } ( X _ { 0 } , O _ { X _ { 0 } } )$ ; confidence 0.730
44. 
; $\theta = \Pi _ { i } \partial _ { i } ^ { e _ { i } ^ { e _ { i } } }$ ; confidence 0.142
45. 
; $( t _ { 1 } , \ldots , t _ { n } ) \rightarrow F ( 0 , \ldots , 0 )$ ; confidence 0.263
46. 
; $h ( \phi ) = k ( - \phi ) , \quad \sigma \leq \phi \leq 2 \pi$ ; confidence 0.997
47. 
; $F _ { 0 } [ ( y _ { j } \theta ) _ { j \in J , \theta \in \Theta } ]$ ; confidence 0.526
48. 
; $F _ { 1 } ( X _ { 1 } , \ldots , X _ { x } , Y _ { 1 } , \ldots , Y _ { n } )$ ; confidence 0.336
49. 
; $F _ { n } ( X _ { 1 } , \ldots , X _ { n } , Y _ { 1 } , \ldots , Y _ { n } )$ ; confidence 0.552
50. 
; $\delta ^ { * } : A ^ { * } \otimes A ^ { * } \rightarrow A ^ { * }$ ; confidence 0.724
51. 
; $\rho : \mathfrak { g } \rightarrow \mathfrak { g } [ ( V )$ ; confidence 0.317
52. 
; $( x + y ) ^ { [ p ] } = x ^ { [ p ] } + y ^ { [ p ] } + \Lambda _ { p } ( x , y )$ ; confidence 0.977
53. 
; $\{ \mathfrak { e } _ { 1 } , \mathfrak { e } _ { 2 } , \ldots \}$ ; confidence 0.391
54. 
; $\{ 0 \} \subset V _ { 1 } \subset \ldots \subset V _ { m } = V$ ; confidence 0.850
55. 
; $\alpha \in C ^ { 0 } , \quad b \in C ^ { 1 } , \quad c \in C ^ { 2 }$ ; confidence 0.207
56. 
; $C ^ { * } = ( C ^ { 0 } , C ^ { 1 } , C ^ { 2 } , \rho , \sigma , \delta )$ ; confidence 0.367
57. 
; $\delta ( b ) ( g , h ) = b ( g ) ^ { - 1 } b ( g h ) ( b ( h ) ^ { g } ) ^ { - 1 }$ ; confidence 0.990
58. 
; $\Delta ( \alpha ) = \alpha \otimes 1 + 1 \otimes \alpha$ ; confidence 0.891
59. 
; $X _ { g } = \operatorname { Sp } ( 2 g , Z ) \backslash H _ { g }$ ; confidence 0.844
60. 
; $F ( x , y , \lambda ) = \Phi _ { \mu + 1 } ( x , \lambda ) - y ^ { 2 }$ ; confidence 0.999
61. 
; $( T , X ) = 0 = \operatorname { Ext } _ { \gamma } ^ { 1 } ( T , X )$ ; confidence 0.465
62. 
; $\kappa ^ { \prime } \cong \kappa \otimes O \Lambda$ ; confidence 0.541
63. 
; $\{ F _ { \alpha } , G _ { \alpha } , ( \ldots ) _ { \alpha } \}$ ; confidence 0.433
64. 
; $D ^ { X } : B \rightarrow \operatorname { nil } ( B ) ^ { n }$ ; confidence 0.143
65. 
; $\gamma ( T ) + F \delta ( T ) = F ( \gamma ( T ) , \delta ( T ) )$ ; confidence 0.948
66. 
; $\mu ^ { * } : A ^ { * } \rightarrow A ^ { * } \otimes A ^ { * }$ ; confidence 0.991
67. 
; $\mathfrak { g } = \sum _ { i = 1 } ^ { k } \mathfrak { g } _ { i }$ ; confidence 0.468
68. 
; $\mathfrak { h } _ { 1 } \rightarrow \mathfrak { h } _ { 2 }$ ; confidence 0.774
69. 
; $\{ \mathfrak { s } _ { 1 } ^ { \prime } \} _ { 0 } \leq i \leq m$ ; confidence 0.121
70. 
; $\operatorname { exp } : \mathfrak { h } \rightarrow G$ ; confidence 0.936
71. 
; $Z _ { g } \cong \Gamma _ { 1 } ( f _ { 0 } ) / \Gamma _ { 0 } [ e , t ]$ ; confidence 0.072
72. 
; $\Gamma _ { 0 } \subset \Gamma ( G ) \subset \Gamma _ { 1 }$ ; confidence 0.991
73. 
; $\operatorname { exp } : \mathfrak { g } \rightarrow G$ ; confidence 0.996
74. 
; $[ X _ { i } , X _ { j } ] = \sum _ { k = 1 } ^ { r } c _ { i j } ^ { k } X _ { k }$ ; confidence 0.608
75. 
; $( \rho ( \alpha ) ( b ) ) ( g ) = \alpha b ( g ) ( a ^ { g } ) ^ { - 1 }$ ; confidence 0.492
76. 
; $f ^ { \prime } ( O _ { X ^ { \prime } } ) = O _ { S ^ { \prime } }$ ; confidence 0.802
77. 
; $O _ { \gamma } \subset \Delta \backslash \Delta _ { 0 }$ ; confidence 0.964
78. 
; $\overline { D } _ { S } \rightarrow \overline { D } _ { T }$ ; confidence 0.534
79. 
; $U ( \zeta , R ) = \{ z \in \overline { C } : | z - \zeta | < R \}$ ; confidence 0.957
80. 
; $V ( \alpha ) = \{ z \in \overline { C } : | z - \alpha | < R \}$ ; confidence 0.668
81. 
; $w ( \alpha ) = x ( \alpha ) y ( - \alpha ^ { - 1 } ) x ( \alpha )$ ; confidence 0.832
82. 
; $X = \{ C : \operatorname { Hom } _ { \Lambda } ( C , Y ) = 0 \}$ ; confidence 0.907
83. 
; $\operatorname { Ext } _ { \mathscr { H } } ^ { 1 } ( T , T ) = 0$ ; confidence 0.420
84. 
; $F = \{ C : \operatorname { Hom } _ { \Lambda } ( T , C ) = 0 \}$ ; confidence 0.896
85. 
; $( T , ) : D ^ { b } ( \Lambda ) \rightarrow D ^ { b } ( \Gamma )$ ; confidence 0.335
86. 
; $: G 1 _ { Q } ( d ) \times A _ { Q } ( d ) \rightarrow A _ { Q } ( d )$ ; confidence 0.120
87. 
; $\operatorname { exp } : \mathfrak { u } \rightarrow U$ ; confidence 0.973
88. 
; $f _ { x } = \sigma ( x ) f , \quad V _ { x } = \sigma ^ { - 1 } ( x ) V$ ; confidence 0.692
89. 
; $s = h _ { 1 } ( s _ { 1 } ) _ { x } + \ldots + h _ { N } ( s _ { N } ) _ { x }$ ; confidence 0.366
90. 
; $\mathscr { O } _ { S , s _ { 0 } } \simeq \hat { M } _ { X _ { 0 } }$ ; confidence 0.574
91. 
; $\| f \| = \operatorname { max } _ { z \in G _ { p } } | f ( z ) |$ ; confidence 0.795
92. 
; $\operatorname { Ext } _ { c } ^ { n - p + 1 } ( Y ; F , \Omega )$ ; confidence 0.597
93. 
; $( \theta \alpha _ { i } ) _ { i \in I , \theta \in \Theta }$ ; confidence 0.719
94. 
; $\dot { x } \square ^ { 2 } + \dot { y } \square ^ { 2 } \neq 0$ ; confidence 0.459
95. 
; $\phi _ { e } : A \rightarrow A / \mathfrak { m } _ { \ell }$ ; confidence 0.383
96. 
; $\sigma ( f ) ( \beta ) = ( \operatorname { Ad } f ) \beta$ ; confidence 0.579
97. 
; $\rightarrow H ^ { 1 } ( G , B ) \rightarrow H ^ { 1 } ( G , A )$ ; confidence 0.984
98. 
; $x _ { 0 } ^ { \mu + 1 } + x _ { 1 } ^ { 2 } + \ldots + x _ { n } ^ { 2 } = 0$ ; confidence 0.952
99. 
; $f _ { 0 } ( z ) = \sum _ { k = 0 } ^ { \infty } b ^ { k } z ^ { d ^ { k } }$ ; confidence 0.687
100. 
; $\zeta = ( \zeta _ { 1 } , \ldots , \zeta _ { n } ) \in C ^ { n }$ ; confidence 0.582
101. 
; $\sum _ { i = 1 } ^ { j } m _ { i } \geq \sum _ { i = 1 } ^ { j } l _ { i }$ ; confidence 0.947
102. 
; $V _ { m } f _ { n } = f _ { n } V _ { m } \quad \text { if } ( n , m ) = 1$ ; confidence 0.135
103. 
; $\operatorname { deg } K _ { X } = ( X ) ^ { 2 } + ( X . K _ { F } )$ ; confidence 0.674
104. 
; $q ( V ) = \operatorname { dim } _ { k } H ^ { 1 } ( V , O _ { V } )$ ; confidence 0.987
105. 
; $\omega = ( a _ { 0 } , \ldots , a _ { n } , \ldots ) \in W ( k )$ ; confidence 0.228
106. 
; $( F \langle \alpha \rangle / F ) \rightarrow W _ { K }$ ; confidence 0.521
107. 
; $F _ { \pi } ( X , Y ) = f \pi ^ { 1 } ( f \pi ( X ) + f _ { \pi } ( Y ) )$ ; confidence 0.543
108. 
; $( x , y ) = \{ ( \xi , \eta ) : F ( x , y , \xi , \eta ) \leq 1 \}$ ; confidence 0.987
109. 
; $F ( x _ { 1 } e _ { 1 } + \square _ { \cdots } + x _ { x } e _ { x } )$ ; confidence 0.221
110. 
; $\Delta ( x _ { j } ) = \sum _ { k } x _ { i k } \otimes x _ { k j }$ ; confidence 0.404
111. 
; $\Delta ( t _ { j } ) = \sum _ { k } t _ { i k } \otimes t _ { k j }$ ; confidence 0.449
112. 
; $\{ \alpha , b c \} = \{ \alpha , b \} c + \{ \alpha , c \} b$ ; confidence 0.756
113. 
; $V ^ { \prime } ( \infty ) = \{ z \in C : | z - \alpha | > R \}$ ; confidence 0.435
114. 
; $\{ \alpha , b \} = h ( a b ) h ( \alpha ) ^ { - 1 } h ( b ) ^ { - 1 }$ ; confidence 0.214
115. 
; $( T , ) : \operatorname { mod } \Lambda \rightarrow$ ; confidence 0.816
116. 
; $K _ { 0 } ( Q ) = K _ { 0 } ( \operatorname { rep } _ { K } ( Q ) )$ ; confidence 0.940
117. 
; $T \mapsto \operatorname { Aut } _ { T } ( X \times T )$ ; confidence 0.864
118. 
; $\operatorname { Ext } _ { c } ^ { x - p } ( Y ; F , \Omega )$ ; confidence 0.357
119. 
; $\alpha _ { \gamma } ( \gamma _ { 0 } ( T ) ) = \gamma ( T )$ ; confidence 0.883
120. 
; $f ( t _ { 1 } , \ldots , t _ { k } , x _ { 1 } , \ldots , x _ { N } )$ ; confidence 0.252
121. 
; $\mathfrak { a } \subset k [ X _ { 1 } , \ldots , X _ { n } ]$ ; confidence 0.507
122. 
; $f ^ { * } g = m _ { A } \circ ( f \otimes g ) \circ \mu _ { C }$ ; confidence 0.605
123. 
; $\mathfrak { g } _ { 1 } = [ \mathfrak { g } _ { 0 } , p ] + k p$ ; confidence 0.395
124. 
; $\operatorname { Ric } ( \omega ) = \lambda \omega$ ; confidence 0.996
125. 
; $\mathfrak { g } _ { 1 } \rightarrow \mathfrak { g } 2$ ; confidence 0.364
126. 
; $\rho ( \mathfrak { g } ) \subset \mathfrak { b } ( F )$ ; confidence 0.547
127. 
; $\phi ( x ^ { [ p ] } ) = ( \phi ( x ) ) ^ { [ p ] } , \quad x \in L$ ; confidence 0.926
128. 
; $\xi _ { i j } ( x ) = \partial f _ { j } / \partial g ( e , x )$ ; confidence 0.981
129. 
; $R ^ { 12 } = \sum _ { i } x _ { i } \otimes y _ { i } \otimes 1$ ; confidence 0.855
130. 
; $R ^ { 23 } = \sum _ { i } 1 \otimes x _ { i } \otimes y _ { i }$ ; confidence 0.885
131. 
; $R ^ { 13 } = \sum _ { i } x _ { i } \otimes 1 \otimes y _ { i }$ ; confidence 0.882
132. 
; $( \text { id } \otimes \Delta ) ( R ) = R ^ { 13 } R ^ { 12 }$ ; confidence 0.878
133. 
; $\tau _ { 1 } - \epsilon < \tau ^ { \prime } < \tau _ { 1 }$ ; confidence 0.999
134. 
; $p \cdot \operatorname { dim } _ { \Lambda } T \leq 1$ ; confidence 0.223
135. 
; $\lambda = ( \lambda _ { 1 } , \ldots , \lambda _ { n } )$ ; confidence 0.574
136. 
; $V _ { n } V _ { m } = V _ { n m } , \quad f _ { n } f _ { m } = f _ { n m }$ ; confidence 0.509
137. 
; $M ^ { \prime } = \operatorname { dim } S _ { \alpha }$ ; confidence 0.678
138. 
; $n _ { \alpha } = \operatorname { dim } R ^ { \alpha }$ ; confidence 0.918
139. 
; $X \times S S ^ { \prime } \rightarrow S ^ { \prime }$ ; confidence 0.626
140. 
; $F ^ { \gamma } = A _ { 1 } F _ { 1 } + \ldots + A _ { m } F _ { m }$ ; confidence 0.375
141. 
; $H ( A , j ) = \{ \alpha \in A : \alpha ^ { j } = \alpha \}$ ; confidence 0.158
142. 
; $( \text { ad } x _ { 1 } \ldots \text { ad } x _ { p } - 1 ) x$ ; confidence 0.549
143. 
; $H ^ { 0 } ( C ^ { * } ) = \rho ^ { - 1 } ( \text { Aut } C ^ { 1 } )$ ; confidence 0.868
144. 
; $H _ { \alpha } ^ { 2 } ( G , A ) = \theta ^ { - 1 } ( \alpha )$ ; confidence 1.000
145. 
; $R ^ { 12 } R ^ { 13 } R ^ { 23 } = R ^ { 23 } R ^ { 13 } R ^ { 12 }$ ; confidence 0.998
146. 
; $\int _ { U } \omega \wedge \overline { w } < \infty$ ; confidence 0.401
147. 
; $\Gamma = \{ z \in \overline { C } : | z - \zeta | = R \}$ ; confidence 0.983
148. 
; $O ( n , k ) = \{ g \in GL ( n , k ) : \square ^ { t } g g = 1 \}$ ; confidence 0.472
149. 
; $B \in R \{ y _ { 1 } , \ldots , y _ { x } \} \backslash R$ ; confidence 0.458
150. 
; $Y _ { n + 1 } G - F \in F \{ Y _ { 1 } , \ldots , Y _ { n + 1 } \}$ ; confidence 0.800
151. 
; $B _ { 0 } ( \zeta _ { 1 } , \ldots , \zeta _ { k } ) \neq 0$ ; confidence 0.645
152. 
; $R = ( R , \partial _ { 1 } , \ldots , \partial _ { m } )$ ; confidence 0.340
153. 
; $A \in R \{ y _ { 1 } , \ldots , y _ { n } \} \backslash R$ ; confidence 0.579
154. 
; $G = F \{ \eta _ { 1 } , \ldots , \eta _ { \nwarrow } \}$ ; confidence 0.083
155. 
; $\tau = \operatorname { deg } \omega _ { \eta / F }$ ; confidence 0.965
156. 
; $s ( \hat { \omega } ) = ( - 1 ) ^ { n } \int _ { X } \omega$ ; confidence 0.188
157. 
; $X ^ { * } = ( X ^ { \prime } , \beta ( X ^ { \prime } , X ) )$ ; confidence 0.998
158. 
; $\omega ( z ) = 1 / \{ 2 \pi i ( \zeta - z _ { 0 } ) ^ { 2 } \}$ ; confidence 0.963
159. 
; $F ( x , y ) \rightarrow \text { inf, } \quad x \in X$ ; confidence 0.965
160. 
; $\operatorname { Ext } ^ { \mu - p } ( K ; F , \Omega )$ ; confidence 0.170
161. 
; $\alpha : H ^ { p } ( X , F ) \rightarrow H ^ { p } ( Y , F )$ ; confidence 0.994
162. 
; $\operatorname { Ext } ^ { \mu - p } ( X ; F , \Omega )$ ; confidence 0.230
163. 
; $\operatorname { Ext } _ { c } ^ { n } ( X ; F , \Omega )$ ; confidence 0.851
164. 
; $\psi ^ { * } F _ { u } ( X , Y ) = F _ { u } ^ { \prime } ( X , Y )$ ; confidence 0.721
165. 
; $F _ { i } ( X , 0 ) = X _ { i } , \quad F _ { i } ( 0 , Y ) = Y _ { i }$ ; confidence 0.975
166. 
; $f ( x , y ) = a x ^ { 3 } + 3 b x ^ { 2 } y + 3 c x y ^ { 2 } + d y ^ { 3 }$ ; confidence 0.991
167. 
; $\mathfrak { g } = \mathfrak { k } + \mathfrak { P }$ ; confidence 0.998
168. 
; $\mathfrak { g } = \mathfrak { g } 0 \otimes _ { k } K$ ; confidence 0.427
169. 
; $\operatorname { dim } \mathfrak { g } = n ( 2 n - 1 )$ ; confidence 0.890
170. 
; $\operatorname { dim } \mathfrak { g } = n ( 2 n + 1 )$ ; confidence 0.902
171. 
; $\mathfrak { g } _ { \mathfrak { i } } ^ { \prime } + 1$ ; confidence 0.346
172. 
; $\mathfrak { g } = \mathfrak { k } + \mathfrak { p }$ ; confidence 0.994
173. 
; $( \delta b ) _ { i j k } = b _ { j } b _ { j k } b _ { i k } ^ { - 1 }$ ; confidence 0.385
174. 
; $( m , \phi ) \sim ( m ^ { \prime } , \phi ^ { \prime } )$ ; confidence 0.996
175. 
; $\sigma : C ^ { 0 } \rightarrow \text { Aut } C ^ { 2 }$ ; confidence 0.563
176. 
; $\phi : \text { Def } Y \rightarrow \text { Def } X$ ; confidence 0.355
177. 
; $f ( x , y ) = x ^ { m - 1 } - x y ^ { 2 } = x ( x ^ { m - 2 } - y ^ { 2 } )$ ; confidence 0.996
178. 
; $\operatorname { Ext } _ { \Delta } ^ { i } ( T , T ) = 0$ ; confidence 0.343
179. 
; $\operatorname { Ext } _ { \Delta } ^ { 1 } ( T , T ) = 0$ ; confidence 0.420
180. 
; $G l _ { Q } ( d ) = \prod _ { j \in Q _ { 0 } } Gl ( v _ { j } , K )$ ; confidence 0.225
181. 
; $G _ { \alpha } \times \ldots \times G _ { \alpha }$ ; confidence 0.300
182. 
; $U = U _ { 1 } \supset \ldots \supset U _ { s } = \{ e \}$ ; confidence 0.931
183. 
; $E ^ { \otimes r } \rightarrow \Delta ( \lambda )$ ; confidence 0.978
184. 
; $l ( D ) - l ( K - D ) = \operatorname { deg } ( D ) - g + 1$ ; confidence 0.964
185. 
; $M = 10 p _ { t x } - p _ { g } - 2 p ^ { ( 1 ) } + 12 + \theta$ ; confidence 0.369
186. 
; $H ^ { 2 } ( V , E _ { \alpha } ) \geq 2 p _ { g } - p _ { x } - 1$ ; confidence 0.616
187. 
; $\rho : K \rightarrow \operatorname { GL } ( V )$ ; confidence 0.653
188. 
; $C ( f _ { 1 } , \ldots , f _ { n } ) \subset K ( \Gamma )$ ; confidence 0.356
189. 
; $f ( \mathfrak { o } ^ { \prime } ) = \mathfrak { o }$ ; confidence 0.466
190. 
; $H _ { r } ( A , X ) \sim H _ { r + 1 } ( R \backslash A , X )$ ; confidence 0.499
191. 
; $( y _ { j } \theta ) _ { j \in J , \theta \in \Theta }$ ; confidence 0.633
192. 
; $\alpha ( F ( X , Y ) ) = G ( \alpha ( X ) , \alpha ( Y ) )$ ; confidence 0.998
193. 
; $f ( p ) ( X ) = X + a _ { p } X ^ { p } + a _ { p } 2 X ^ { p ^ { 2 } } +$ ; confidence 0.909
194. 
; $X _ { 1 } , \ldots , X _ { X } , Y _ { 1 } , \ldots , Y _ { X }$ ; confidence 0.160
195. 
; $\operatorname { dim } \mathfrak { g } = n ( n + 2 )$ ; confidence 0.881
196. 
; $\mathfrak { g } 0 = \mathfrak { s o } ( p , 2 n + 1 - p )$ ; confidence 0.237
197. 
; $\pi _ { 1 } ( G ) \cong \Gamma ( G ) / \Gamma _ { 0 }$ ; confidence 0.992
198. 
; $\rho : G \rightarrow \operatorname { GL } ( V )$ ; confidence 0.678
199. 
; $[ x _ { i l } , x _ { k j } ] = ( q ^ { - 1 } - q ) x _ { j } x _ { k l }$ ; confidence 0.406
200. 
; $\phi : G \rightarrow \operatorname { GL } ( V )$ ; confidence 0.578
201. 
; $( n _ { \alpha } + 1 ) \alpha \notin \Phi _ { k } ( G )$ ; confidence 0.771
202. 
; $\alpha \in \Delta ( \gamma ) \cap O _ { \gamma }$ ; confidence 0.992
203. 
; $P = \{ z = ( z _ { 1 } , z _ { 2 } ) \in C ^ { 2 } : z _ { 2 } = 0 \}$ ; confidence 0.988
204. 
; $f \mathfrak { m } ^ { 2 } = \operatorname { dim } A$ ; confidence 0.253
205. 
; $f ( z ) = \frac { 1 } { ( 1 + z ^ { 1 / 2 } ) ( 1 + z ^ { 1 / 6 } ) }$ ; confidence 0.999
206. 
; $\operatorname { Ind } _ { \overline { H } } ^ { G }$ ; confidence 0.452
207. 
; $\Delta ( \lambda ) = K GL _ { n } ( K ) z _ { \lambda }$ ; confidence 0.499
208. 
; $\{ x _ { \alpha } ( t ) : t \in K , \alpha \in \Phi \}$ ; confidence 0.553
209. 
; $\pi = \operatorname { dim } H ^ { 1 } ( X , O _ { X } )$ ; confidence 0.980
210. 
; $P ( \alpha _ { 1 } , \ldots , \alpha _ { N } ) \neq 0$ ; confidence 0.251
211. 
; $\hat { \phi } : \hat { H } \rightarrow \hat { G }$ ; confidence 0.723
212. 
; $\Sigma \subset F \{ Y _ { 1 } , \ldots , Y _ { N } \}$ ; confidence 0.440
213. 
; $B _ { 0 } ( \eta _ { 1 } , \ldots , \eta _ { k } ) \neq 0$ ; confidence 0.724
214. 
; $\operatorname { Ext } _ { \Psi } ^ { n - p } ( X ; F )$ ; confidence 0.835
215. 
; $f ( x ) \rightarrow \text { inf, } \quad x \in X$ ; confidence 0.973
216. 
; $| G | = p _ { 1 } ^ { n _ { 1 } } \ldots p _ { k } ^ { n _ { k } }$ ; confidence 0.744
217. 
; $q + 1 \leq k \leq \operatorname { prof } F - p + 1$ ; confidence 0.687
218. 
; $\beta = \alpha \cdot \sigma ( \alpha ) ^ { - 1 }$ ; confidence 0.924
219. 
; $+ \operatorname { rk } ( A - \lambda E ) ^ { m + 1 }$ ; confidence 0.935
220. 
; $\mathfrak { g } 0 = \mathfrak { s u } ( p , n + 1 - p )$ ; confidence 0.444
221. 
; $D \rightarrow \phi _ { \varepsilon } \circ D$ ; confidence 0.258
222. 
; $\operatorname { dim } _ { k } U _ { p } ( L ) = p ^ { n }$ ; confidence 0.777
223. 
; $g ( x ) = y = ( y _ { 1 } , \ldots , y _ { x } ) \in \Omega$ ; confidence 0.399
224. 
; $\rho : C ^ { 0 } \rightarrow \text { Aff } C ^ { 1 }$ ; confidence 0.846
225. 
; $\operatorname { Fix } g = \{ x \in X : g ( x ) = x \}$ ; confidence 0.571
226. 
; $q = \operatorname { exp } h ( H _ { i } , H _ { j } ) / 2$ ; confidence 0.661
227. 
; $\phi _ { 1 } \otimes \ldots \otimes \phi _ { d }$ ; confidence 0.978
228. 
; $\phi : \operatorname { Def } Y \rightarrow A$ ; confidence 0.641
229. 
; $x _ { 0 } ^ { k _ { 0 } } + \ldots + x _ { x } ^ { k _ { n } } = 0$ ; confidence 0.462
230. 
; $\beta _ { v } = ( m _ { v } n ) / ( n _ { 1 } \dots n _ { v } )$ ; confidence 0.618
231. 
; $V ( \infty ) = \{ z \in \overline { C } : | z | > R \}$ ; confidence 0.989
232. 
; $\Gamma = \operatorname { End } _ { \Lambda } T$ ; confidence 0.895
233. 
; $\operatorname { Ext } _ { \Lambda } ^ { 1 } ( T , )$ ; confidence 0.425
234. 
; $X ( T _ { 0 } ) _ { Q } = X ( T _ { 0 } ) \bigotimes _ { Z } Q$ ; confidence 0.369
235. 
; $D = \sum _ { X \in X } n _ { X } x , \quad n _ { X } \in Z$ ; confidence 0.583
236. 
; $\dot { i } = \operatorname { dim } | K _ { V } - D |$ ; confidence 0.160
237. 
; $F _ { M } ( \omega m ) = \omega ^ { ( p ) } F _ { M } ( m )$ ; confidence 0.963
238. 
; $\omega V _ { M } ( m ) = V _ { M } ( \omega ^ { ( p ) } m )$ ; confidence 0.979
239. 
; $u \leq v \Rightarrow \theta u \leq \theta v$ ; confidence 0.592
240. 
; $\alpha _ { \gamma } : \hat { W } \rightarrow F$ ; confidence 0.358
241. 
; $\delta ( x ) = x \bigotimes 1 + 1 \bigotimes x$ ; confidence 0.262
242. 
; $S = \operatorname { diag } \{ Q , \ldots , Q \}$ ; confidence 0.623
243. 
; $\mathfrak { g } 0 = \mathfrak { s o } ( p , 2 n - p )$ ; confidence 0.141
244. 
; $Y _ { \alpha } \in \mathfrak { g } _ { - \alpha }$ ; confidence 0.963
245. 
; $\operatorname { exp } : L ( G ) \rightarrow G$ ; confidence 0.986
246. 
; $\mathfrak { g } C = \mathfrak { g } \otimes R C$ ; confidence 0.493
247. 
; $\Gamma _ { 0 } \subset M \subset \Gamma _ { 1 }$ ; confidence 0.997
248. 
; $\Gamma _ { 0 } = \Gamma _ { 0 } ( \mathfrak { g } )$ ; confidence 0.946
249. 
; $( \lambda x ) ^ { [ p ] } = \lambda ^ { p } x ^ { [ p ] }$ ; confidence 0.579
250. 
; $x ^ { [ p ^ { m } ] } = ( x ^ { [ p ^ { m - 1 } ] } ) ^ { [ p ] } = 0$ ; confidence 0.790
251. 
; $\Gamma \subset \operatorname { GL } ( n , F )$ ; confidence 0.801
252. 
; $\phi : U \times G \rightarrow \pi ^ { - 1 } ( U )$ ; confidence 0.998
253. 
; $x = \lambda ( \theta ) , y = \Delta ( \theta )$ ; confidence 0.878
254. 
; $y ^ { 2 } = ( 1 - c ^ { 2 } x ^ { 2 } ) ( 1 - e ^ { 2 } x ^ { 2 } )$ ; confidence 0.996
255. 
; $( x , v ) \gamma = ( x \gamma , j ( x , \gamma ) v )$ ; confidence 0.955
256. 
; $F _ { M } ( V _ { M } ( m ) ) = V _ { M } ( F _ { M } ( m ) ) = p m$ ; confidence 0.976
257. 
; $R \{ y _ { 1 } , \ldots , y _ { N } \} \backslash R$ ; confidence 0.377
258. 
; $\operatorname { ord } ( \theta ) = \sum e$ ; confidence 0.833
259. 
; $B ( \zeta _ { 1 } , \ldots , \zeta _ { n } ) \neq 0$ ; confidence 0.692
260. 
; $\Phi \subset F \{ Y _ { 1 } , \ldots , Y _ { N } \}$ ; confidence 0.521
261. 
; $\Sigma _ { 1 } , \ldots , \sum _ { p } , \ldots ,$ ; confidence 0.261
262. 
; $( A _ { k } ) < \operatorname { rank } ( B _ { k } )$ ; confidence 0.997
263. 
; $H _ { r } ( M ^ { n } , X ) \sim H ^ { n - r } ( M ^ { n } , X )$ ; confidence 0.868
264. 
; $q + 1 \leq k \leq \operatorname { prof } F - p$ ; confidence 0.862
265. 
; $p \leq k \leq \operatorname { prof } F - q - 1$ ; confidence 0.925
266. 
; $e ^ { \beta _ { 1 } } , \ldots , e ^ { \beta _ { n } }$ ; confidence 0.462
267. 
; $e ^ { z _ { 1 } + z _ { 2 } } = e ^ { z _ { 1 } } e ^ { z _ { 2 } }$ ; confidence 0.757
268. 
; $g ( \alpha H ) = ( g a ) H , \quad g , \alpha \in G$ ; confidence 0.214
269. 
; $\operatorname { Ric } ( \omega ) = - \omega$ ; confidence 0.994
270. 
; $[ X _ { \alpha } , Y _ { \alpha } ] = H _ { \alpha }$ ; confidence 0.998
271. 
; $d f _ { e } : L ( G _ { 1 } ) \rightarrow L ( G _ { 2 } )$ ; confidence 0.485
272. 
; $R ^ { 1 } f \times ( Z / n Z ) \cong ( Z / n Z ) ^ { 2 g }$ ; confidence 0.221
273. 
; $Z ^ { 1 } = \delta ^ { - 1 } ( e ) \subseteq C ^ { 1 }$ ; confidence 0.984
274. 
; $( x y ) ^ { \gamma } = x ^ { \gamma } y ^ { \gamma }$ ; confidence 0.987
275. 
; $\Gamma = \operatorname { Gal } ( k _ { s } / k )$ ; confidence 0.608
276. 
; $H ^ { * } = H \cup P ^ { 1 } ( Q ) \subset P ^ { 1 } ( C )$ ; confidence 0.959
277. 
; $z ^ { \prime } = \phi _ { 1 } ( \tau ^ { \prime } )$ ; confidence 0.998
278. 
; $\| \partial F _ { i } / \partial X _ { j } ( x ) \|$ ; confidence 0.994
279. 
; $\psi _ { t _ { 1 } , \ldots , t _ { x } } ^ { \prime }$ ; confidence 0.085
280. 
; $( \operatorname { prin } K I ) \simeq Z ^ { I }$ ; confidence 0.538
281. 
; $\phi _ { \beta } : X _ { i } \rightarrow X _ { j }$ ; confidence 0.994
282. 
; $G _ { n } ^ { \gamma } \geq r ( n - r + 1 ) - ( r - 1 ) g$ ; confidence 0.820
283. 
; $\operatorname { deg } D = \sum _ { X } n _ { X }$ ; confidence 0.244
284. 
; $\theta ( v ) = \sum _ { m } e ^ { F ( m ) + 2 ( m , v ) }$ ; confidence 0.669
285. 
; $1 , \ldots , a _ { p } , b _ { 1 } , \ldots , b _ { p }$ ; confidence 0.487
286. 
; $l ( D ) \geq \operatorname { deg } ( D ) - p + 1$ ; confidence 0.998
287. 
; $\alpha , b , c \in k , \alpha \neq 0 , c \neq 0$ ; confidence 0.727
288. 
; $H ^ { p } ( X , S ) = 0 \quad \text { for } p \geq 1$ ; confidence 0.958
289. 
; $\tau = \operatorname { deg } \omega _ { V }$ ; confidence 0.992
290. 
; $F : X \times U \rightarrow \overline { R }$ ; confidence 0.962
291. 
; $\operatorname { sup } _ { A } f = f ( \alpha )$ ; confidence 0.497
292. 
; $( F ^ { \prime } , \sigma ( F ^ { \prime } , F ) )$ ; confidence 0.999
293. 
; $\delta _ { i } \alpha = \alpha _ { i } \alpha$ ; confidence 0.442
294. 
; $\alpha \circ b = \frac { a b + b \alpha } { 2 }$ ; confidence 0.581
295. 
; $\operatorname { rk } ( A - \lambda E ) ^ { 0 }$ ; confidence 0.967
296. 
; $\operatorname { Ric } ( \omega ) = \omega$ ; confidence 0.996
297. 
; $\mathfrak { h } \subset \mathfrak { g }$ ; confidence 0.959
298. 
; $\alpha \in R _ { \overline { \zeta } } ^ { 1 }$ ; confidence 0.161
299. 
; $( \gamma x ) ^ { g } = ( \gamma ^ { g } ) ( x ^ { g } )$ ; confidence 0.958
300. 
; $( \Delta \otimes id ) ( R ) = R ^ { 13 } R ^ { 23 }$ ; confidence 0.501
Maximilian Janisch/latexlist/latex/Algebraic Groups/2. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/Algebraic_Groups/2&oldid=44077