Namespaces
Variants
Actions

Difference between revisions of "User:Maximilian Janisch/latexlist/latex/Algebraic Groups/5"

From Encyclopedia of Mathematics
Jump to: navigation, search
(AUTOMATIC EDIT of page 5 out of 12 with 300 lines: Updated image/latex database (currently 3466 images latexified; order by Length, ascending: False.)
 
Line 1: Line 1:
 
== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164084.png ; $H ^ { i } ( V , Z )$ ; confidence 0.936
+
1. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058480/l05848034.png ; $\phi _ { \notin } \circ D$ ; confidence 0.136
  
2. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058680/l05868024.png ; $\operatorname { exp } : \mathfrak { h } \rightarrow G$ ; confidence 0.936
+
2. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872098.png ; $L _ { k } = L _ { Z } \otimes k$ ; confidence 0.339
  
3. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l058590136.png ; $T ( n ) \subset G L ( n , C )$ ; confidence 0.936
+
3. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l0587207.png ; $x \rightarrow x ^ { [ p ] }$ ; confidence 0.407
  
4. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070010/o07001011.png ; $G / G _ { X }$ ; confidence 0.936
+
4. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872011.png ; $x : y \rightarrow [ x , y ]$ ; confidence 0.956
  
5. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420154.png ; $K _ { 0 }$ ; confidence 0.936
+
5. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n066900136.png ; $H _ { \alpha } ^ { 2 } ( G , A )$ ; confidence 1.000
  
6. https://www.encyclopediaofmath.org/legacyimages/w/w098/w098100/w098100182.png ; $p ( A )$ ; confidence 0.936
+
6. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690085.png ; $H ^ { 1 } ( \pi _ { 1 } ( M ) , G )$ ; confidence 0.999
  
7. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090278.png ; $\Lambda \supseteq \Phi$ ; confidence 0.935
+
7. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n066900112.png ; $\operatorname { ln } t a$ ; confidence 0.669
  
8. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g13002042.png ; $\notin \{ 0,1 \}$ ; confidence 0.935
+
8. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072670/p07267059.png ; $\Gamma ( U , O _ { X } ) ^ { * }$ ; confidence 0.805
  
9. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l05859081.png ; $L ( n , R )$ ; confidence 0.935
+
9. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074720/p07472027.png ; $H ^ { 1 } ( S _ { T } , \Gamma )$ ; confidence 0.982
  
10. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054340/j05434031.png ; $+ \operatorname { rk } ( A - \lambda E ) ^ { m + 1 }$ ; confidence 0.935
+
10. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074720/p07472035.png ; $\Gamma = \Gamma _ { m , S }$ ; confidence 0.682
  
11. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024059.png ; $( i , j )$ ; confidence 0.935
+
11. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077630/r07763027.png ; $P _ { \phi } \subset X ( T )$ ; confidence 0.992
  
12. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w12009071.png ; $t ^ { \lambda }$ ; confidence 0.935
+
12. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r07764099.png ; $A = \phi ( \text { Def } Y )$ ; confidence 0.529
  
13. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018021.png ; $20$ ; confidence 0.935
+
13. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r07764041.png ; $x ^ { n + 1 } + y ^ { 2 } + z ^ { 2 }$ ; confidence 0.993
  
14. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120299.png ; $A ( F )$ ; confidence 0.935
+
14. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r07764084.png ; $X _ { \zeta } = f ^ { - 1 } ( s )$ ; confidence 0.316
  
15. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690029.png ; $C ^ { i } ( \mathfrak { U } , F )$ ; confidence 0.935
+
15. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081030/r081030103.png ; $\gamma \in \Delta _ { k }$ ; confidence 0.524
  
16. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054270/j05427085.png ; $[ \mathfrak { g } - 1 , p ]$ ; confidence 0.935
+
16. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004070.png ; $X = \Gamma \backslash D$ ; confidence 0.989
  
17. https://www.encyclopediaofmath.org/legacyimages/w/w098/w098100/w098100184.png ; $p ^ { 0 } , p ^ { 1 } , p ^ { 2 } ,$ ; confidence 0.934
+
17. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s1300405.png ; $X = \Gamma \backslash H$ ; confidence 0.976
  
18. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120479.png ; $f \in F ^ { \prime }$ ; confidence 0.934
+
18. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590332.png ; $f ^ { - 1 } ( s _ { 0 } ) = X _ { 0 }$ ; confidence 0.998
  
19. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590381.png ; $x _ { 0 } ^ { 3 } x _ { 1 } + x _ { 1 } ^ { 3 } + x _ { 2 } ^ { 2 } + \ldots + x _ { n } ^ { 2 } = 0$ ; confidence 0.934
+
19. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590525.png ; $( a x + b y ) d y = ( c x + e y ) d x$ ; confidence 0.977
  
20. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032490/d03249017.png ; $p \subset q$ ; confidence 0.934
+
20. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590394.png ; $2 \delta _ { x } = \mu + r - 1$ ; confidence 0.593
  
21. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054078.png ; $\{ \alpha , b \} _ { p } = ( - 1 ) ^ { \alpha \beta } r ^ { \beta } s ^ { \alpha }$ ; confidence 0.934
+
21. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559024.png ; $L _ { 1 } : z = \phi _ { 1 } ( t )$ ; confidence 0.991
  
22. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450163.png ; $( X )$ ; confidence 0.934
+
22. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590469.png ; $f ( x , y ) = x ^ { 3 } + x y ^ { 3 }$ ; confidence 1.000
  
23. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110570/b11057025.png ; $R ^ { 2 x }$ ; confidence 0.933
+
23. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130530/s130530104.png ; $S ^ { r - 1 } \subset R ^ { r }$ ; confidence 0.825
  
24. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015690/b01569020.png ; $X _ { 1 } + \ldots + X _ { x }$ ; confidence 0.933
+
24. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t13013047.png ; $( T , . ) : T \rightarrow Y$ ; confidence 0.751
  
25. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120030/k12003036.png ; $F _ { M } : G \rightarrow C ^ { * }$ ; confidence 0.933
+
25. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014071.png ; $h _ { i } \in Gl ( v _ { i } , K )$ ; confidence 0.537
  
26. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025930/c02593042.png ; $\phi ( g )$ ; confidence 0.933
+
26. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014070.png ; $h _ { j } \in Gl ( v _ { j } , K )$ ; confidence 0.752
  
27. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150075.png ; $a , b , c$ ; confidence 0.933
+
27. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014062.png ; $\beta : j \rightarrow i$ ; confidence 0.961
  
28. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058760/l0587606.png ; $\{ e \} \times \Omega$ ; confidence 0.933
+
28. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t130140138.png ; $q : Z ^ { l } \rightarrow Z$ ; confidence 0.628
  
29. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q07631068.png ; $( g , \phi )$ ; confidence 0.932
+
29. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014031.png ; $\beta : i \rightarrow j$ ; confidence 0.901
  
30. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082082.png ; $F _ { u } ( X , Y )$ ; confidence 0.932
+
30. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095400/u09540043.png ; $( m _ { 1 } , \dots , m _ { s } )$ ; confidence 0.607
  
31. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l058590189.png ; $x , y , x y \in U _ { 1 }$ ; confidence 0.932
+
31. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097710/w09771067.png ; $N _ { G } ( T ) / Z _ { G } ( T )$ ; confidence 0.990
  
32. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073700/p07370068.png ; $k [ G ]$ ; confidence 0.931
+
32. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110200/c11020072.png ; $\lambda \in \Lambda$ ; confidence 0.954
  
33. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590517.png ; $G \backslash H$ ; confidence 0.931
+
33. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090229.png ; $\nabla ( \lambda ) ^ { * }$ ; confidence 0.998
  
34. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095410/u09541040.png ; $U = U _ { 1 } \supset \ldots \supset U _ { s } = \{ e \}$ ; confidence 0.931
+
34. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090355.png ; $M _ { K } = K \otimes _ { Z } M$ ; confidence 0.880
  
35. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047410/h04741014.png ; $t ^ { 0 } \neq a ^ { 2 }$ ; confidence 0.931
+
35. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w12009020.png ; $( E ^ { \otimes \gamma } )$ ; confidence 0.789
  
36. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077630/r07763061.png ; $k [ G ] _ { \chi } = \{ f \in k [ G ] : f ( g b ) = \chi ( b ) f ( g ) \forall b \in B , g \in G \}$ ; confidence 0.930
+
36. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090402.png ; $d \lambda _ { \mu } \neq 0$ ; confidence 0.604
  
37. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120209.png ; $H _ { c } ^ { p } ( X , F )$ ; confidence 0.930
+
37. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011530/a01153019.png ; $\alpha ^ { \beta ^ { 2 } }$ ; confidence 0.964
  
38. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q076310136.png ; $R = ( \rho \otimes \rho ) ( R ) \in \operatorname { End } ( k ^ { n } \otimes k ^ { n } )$ ; confidence 0.930
+
38. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011740/a01174037.png ; $y ^ { \prime } = c y + f ( x )$ ; confidence 0.990
  
39. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022370/c022370215.png ; $1$ ; confidence 0.929
+
39. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a014170147.png ; $Z ( g ) \subset U g = D ( G )$ ; confidence 0.474
  
40. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004012.png ; $n = 2$ ; confidence 0.929
+
40. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650260.png ; $f _ { 1 } , \ldots , f _ { x }$ ; confidence 0.439
  
41. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f12011058.png ; $\Delta _ { k }$ ; confidence 0.929
+
41. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020560/c02056018.png ; $C = C _ { s } \times C _ { u }$ ; confidence 0.716
  
42. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110070/k11007016.png ; $= \{ f : \pi ^ { - 1 } ( U ) \rightarrow k : f ( g b ) = f ( g ) \chi ( b ) , g \in G , b \in B \}$ ; confidence 0.929
+
42. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a014060104.png ; $\dot { i } = 1 , \ldots , r$ ; confidence 0.162
  
43. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070010/o07001078.png ; $G$ ; confidence 0.929
+
43. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020570/c02057014.png ; $h _ { 1 } , \ldots , h _ { r }$ ; confidence 0.638
  
44. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086830/s08683012.png ; $B _ { i } / B _ { i + 1 }$ ; confidence 0.929
+
44. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017030/b01703097.png ; $\phi : X \rightarrow Y$ ; confidence 0.856
  
45. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120345.png ; $L _ { z } F ( z , \zeta )$ ; confidence 0.928
+
45. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023470/c02347047.png ; $m _ { i j } ^ { \alpha } ( g )$ ; confidence 0.987
  
46. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690053.png ; $C ^ { * } ( G , A )$ ; confidence 0.928
+
46. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700199.png ; $k [ [ t ] , \dots , t ] g - 3 ]$ ; confidence 0.194
  
47. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h047970119.png ; $\epsilon : A \rightarrow K$ ; confidence 0.927
+
47. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700295.png ; $D ( \alpha , 0 ) = \alpha$ ; confidence 0.840
  
48. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010840/a01084024.png ; $M ^ { * }$ ; confidence 0.927
+
48. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d03070084.png ; $Y \subseteq X \times S$ ; confidence 0.693
  
49. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a014170107.png ; $j : X \times \Gamma \rightarrow H$ ; confidence 0.927
+
49. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031550/d03155053.png ; $\phi : G \rightarrow H$ ; confidence 0.998
  
50. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872057.png ; $\phi ( x ^ { [ p ] } ) = ( \phi ( x ) ) ^ { [ p ] } , \quad x \in L$ ; confidence 0.926
+
50. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d03183012.png ; $F _ { 1 } , \ldots , F _ { p }$ ; confidence 0.532
  
51. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t13013071.png ; $D ^ { b } ( \Lambda )$ ; confidence 0.926
+
51. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026810/c02681011.png ; $Y _ { 1 } , \ldots , Y _ { n }$ ; confidence 0.655
  
52. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040370/f04037017.png ; $p \leq k \leq \operatorname { prof } F - q - 1$ ; confidence 0.925
+
52. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830340.png ; $A _ { 1 } , \ldots , A _ { r }$ ; confidence 0.444
  
53. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q076310111.png ; $A \otimes A$ ; confidence 0.925
+
53. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830341.png ; $B _ { 1 } , \ldots , B _ { s }$ ; confidence 0.598
  
54. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012460/a012460143.png ; $Q _ { 1 }$ ; confidence 0.925
+
54. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830239.png ; $G ( G / F _ { 1 } ) = G _ { 1 }$ ; confidence 0.998
  
55. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054270/j05427040.png ; $Q = \left( \begin{array} { l l } { 0 } & { 1 } \\ { 1 } & { 0 } \end{array} \right)$ ; confidence 0.925
+
55. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030590/d03059031.png ; $y _ { 1 } , \ldots , y _ { x }$ ; confidence 0.659
  
56. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e03696087.png ; $\eta = ( n _ { j } ) _ { j \in J }$ ; confidence 0.924
+
56. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110410/c11041095.png ; $F _ { 1 } , \ldots , F _ { n }$ ; confidence 0.653
  
57. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830305.png ; $u _ { A } = u _ { B }$ ; confidence 0.924
+
57. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120240/d12024020.png ; $\mathfrak { g } ^ { * } / G$ ; confidence 0.592
  
58. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059250/l059250116.png ; $SK _ { 1 }$ ; confidence 0.924
+
58. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120351.png ; $\phi ( \zeta ) \equiv 0$ ; confidence 0.999
  
59. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023720/c02372067.png ; $f _ { D } ( z )$ ; confidence 0.924
+
59. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120460.png ; $A \subset F ^ { \prime }$ ; confidence 0.995
  
60. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068370/o06837070.png ; $\alpha \in \Delta$ ; confidence 0.924
+
60. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120562.png ; $y = ( y 1 , \dots , y _ { m } )$ ; confidence 0.362
  
61. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047410/h047410109.png ; $\beta = \alpha \cdot \sigma ( \alpha ) ^ { - 1 }$ ; confidence 0.924
+
61. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120528.png ; $x : f \rightarrow f ( x )$ ; confidence 0.987
  
62. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087080/s08708024.png ; $b \in M$ ; confidence 0.923
+
62. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120343.png ; $\Omega \subset A _ { P }$ ; confidence 0.647
  
63. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033530/d03353065.png ; $p ^ { m }$ ; confidence 0.923
+
63. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120138.png ; $H _ { x - r - 1 } ( B , X ^ { * } )$ ; confidence 0.198
  
64. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450162.png ; $P _ { k } ^ { 1 }$ ; confidence 0.923
+
64. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e03696092.png ; $c ( \eta ^ { \prime } ) = 0$ ; confidence 1.000
  
65. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d03412066.png ; $\{ H _ { r } ( X , A ) , f * , \partial \}$ ; confidence 0.923
+
65. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013290/a01329042.png ; $n _ { 1 } , \ldots , n _ { k }$ ; confidence 0.348
  
66. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a014170106.png ; $( X , H )$ ; confidence 0.923
+
66. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010840/a01084019.png ; $e _ { 1 } , \ldots , e _ { x }$ ; confidence 0.140
  
67. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120244.png ; $H _ { c } ^ { n - p - 1 } ( X \backslash Y , \operatorname { Hom } ( F , \Omega ) )$ ; confidence 0.923
+
67. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040550/f0405505.png ; $V _ { 1 } , \ldots , V _ { k }$ ; confidence 0.682
  
68. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t130140146.png ; $( I , \preceq )$ ; confidence 0.923
+
68. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082027.png ; $G : B \rightarrow G ( B )$ ; confidence 1.000
  
69. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011660/a011660124.png ; $x \in B$ ; confidence 0.923
+
69. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820159.png ; $\mathfrak { m } = ( \pi )$ ; confidence 0.941
  
70. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058610/l05861076.png ; $G _ { C }$ ; confidence 0.922
+
70. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082097.png ; $\alpha ( \beta ( X ) ) = X$ ; confidence 0.998
  
71. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e03696071.png ; $( y _ { j } ) _ { j \in J }$ ; confidence 0.922
+
71. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820153.png ; $\gamma ( T ) \in C ( F ; A )$ ; confidence 0.980
  
72. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023330/c02333037.png ; $X \rightarrow Y$ ; confidence 0.922
+
72. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g13002023.png ; $f _ { 1 } , \ldots , f _ { d }$ ; confidence 0.639
  
73. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120175.png ; $H ^ { p } ( X , F ) \times H _ { c } ^ { n - p } ( X , \operatorname { Hom } ( F , \Omega ) ) \rightarrow H _ { c } ^ { n } ( X , \Omega )$ ; confidence 0.921
+
73. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047410/h047410140.png ; $\xi ^ { 2 } + \eta ^ { 2 } = 1$ ; confidence 1.000
  
74. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077670/r07767017.png ; $S K _ { 1 } ( D )$ ; confidence 0.921
+
74. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047410/h04741059.png ; $F _ { 1 } , \ldots , F _ { m }$ ; confidence 0.547
  
75. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025930/c02593025.png ; $y \in W$ ; confidence 0.920
+
75. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047410/h0474109.png ; $t _ { 1 } , \ldots , t _ { k }$ ; confidence 0.600
  
76. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031210/d03121061.png ; $i$ ; confidence 0.920
+
76. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120200/a12020040.png ; $t _ { 1 } , \ldots , t _ { x }$ ; confidence 0.448
  
77. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590634.png ; $\Delta = ( F _ { x x } ^ { \prime \prime } ) _ { 0 } ( F _ { y y } ^ { \prime \prime } ) _ { 0 } - ( F _ { x y } ^ { \prime \prime } ) _ { 0 } ^ { 2 }$ ; confidence 0.920
+
77. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047700/h04770011.png ; $\phi : G \rightarrow X$ ; confidence 0.997
  
78. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110850/b11085034.png ; $K G$ ; confidence 0.920
+
78. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797076.png ; $\operatorname { mix }$ ; confidence 0.106
  
79. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164011.png ; $p ^ { ( 1 ) } = ( K _ { V } ^ { 2 } ) + 1 = \operatorname { deg } ( c _ { 1 } ^ { 2 } ) + 1$ ; confidence 0.919
+
79. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h047970132.png ; $( C , \mu C , \epsilon C )$ ; confidence 0.286
  
80. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023470/c02347054.png ; $n _ { \alpha } = \operatorname { dim } R ^ { \alpha }$ ; confidence 0.918
+
80. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797071.png ; $\epsilon = \iota ^ { * }$ ; confidence 0.263
  
81. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210115.png ; $\alpha$ ; confidence 0.918
+
81. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110380/a110380105.png ; $x _ { 1 } , \ldots , x _ { x }$ ; confidence 0.348
  
82. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024089.png ; $g > 1$ ; confidence 0.918
+
82. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052350/i0523501.png ; $a x ^ { 2 } + 2 b x y + c y ^ { 2 }$ ; confidence 0.999
  
83. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t13013042.png ; $( T , F )$ ; confidence 0.918
+
83. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a011490129.png ; $X _ { 1 } , \ldots , X _ { m }$ ; confidence 0.132
  
84. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074640/p07464020.png ; $H \rightarrow H / G$ ; confidence 0.918
+
84. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013010/a01301024.png ; $t _ { 1 } , \ldots , t _ { m }$ ; confidence 0.678
  
85. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064510/m06451016.png ; $f : T \rightarrow S$ ; confidence 0.917
+
85. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054270/j05427085.png ; $[ \mathfrak { g } - 1 , p ]$ ; confidence 0.935
  
86. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l05851057.png ; $[ \mathfrak { g } _ { \alpha } , \mathfrak { g } _ { \beta } ] = \mathfrak { g } _ { \alpha + \beta }$ ; confidence 0.917
+
86. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058480/l05848036.png ; $( G ) \rightarrow L ( G )$ ; confidence 0.985
  
87. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086830/s0868309.png ; $B = B _ { 0 } \supset B _ { 1 } \supset \ldots \supset B _ { t } = \{ 1 \}$ ; confidence 0.917
+
87. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l058590136.png ; $T ( n ) \subset G L ( n , C )$ ; confidence 0.936
  
88. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047940/h047940146.png ; $k ^ { n + 1 }$ ; confidence 0.917
+
88. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l05859047.png ; $( d L _ { g } ) X ( h ) = X ( g h )$ ; confidence 0.485
  
89. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130100/r13010073.png ; $E _ { 7 }$ ; confidence 0.917
+
89. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058610/l05861086.png ; $g \in GL _ { \gamma } ( C )$ ; confidence 0.088
  
90. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058680/l05868065.png ; $\Gamma _ { 1 } / \Gamma _ { 0 }$ ; confidence 0.917
+
90. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058610/l05861083.png ; $C ^ { n } / \Gamma _ { 1 }$ ; confidence 0.708
  
91. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830233.png ; $G ( G / F )$ ; confidence 0.916
+
91. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058680/l05868078.png ; $h ^ { \prime } \subset k$ ; confidence 0.244
  
92. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011740/a01174031.png ; $\operatorname { Aut } _ { T } ( X \times T )$ ; confidence 0.916
+
92. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058680/l0586807.png ; $SL _ { \mathscr { K } } + 1$ ; confidence 0.276
  
93. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120428.png ; $| ( . y ) |$ ; confidence 0.916
+
93. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058690/l05869027.png ; $\rho ( G ) \subset B ( F )$ ; confidence 0.999
  
94. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054270/j05427079.png ; $91$ ; confidence 0.915
+
94. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872053.png ; $\phi : L \rightarrow K$ ; confidence 1.000
  
95. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590492.png ; $X ( x _ { 0 } , y _ { 0 } ) = Y ( x _ { 0 } , y _ { 0 } ) = 0$ ; confidence 0.915
+
95. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l058720119.png ; $S _ { n } = n ( p ^ { n + 1 } - 1 )$ ; confidence 0.942
  
96. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027320/c027320183.png ; $K$ ; confidence 0.915
+
96. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872073.png ; $\Lambda _ { p } ( x , y ) = 0$ ; confidence 0.996
  
97. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024036.png ; $g \geq 1$ ; confidence 0.914
+
97. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058760/l05876045.png ; $X _ { 1 } , \ldots , X _ { r }$ ; confidence 0.586
  
98. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095240/u09524038.png ; $\sqrt { n / 12 }$ ; confidence 0.914
+
98. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130090/b13009029.png ; $\Omega \subset R ^ { x }$ ; confidence 0.706
  
99. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013000/a013000141.png ; $f$ ; confidence 0.914
+
99. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043800/g043800150.png ; $h _ { 1 } , \ldots , h _ { n }$ ; confidence 0.602
  
100. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020560/c02056015.png ; $C$ ; confidence 0.914
+
100. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064510/m06451078.png ; $\overline { M } _ { g , X }$ ; confidence 0.207
  
101. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012013.png ; $h$ ; confidence 0.914
+
101. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064510/m06451038.png ; $\psi = \chi \circ \phi$ ; confidence 0.966
  
102. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700276.png ; $( V )$ ; confidence 0.914
+
102. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064510/m06451071.png ; $\overline { M } _ { g , N }$ ; confidence 0.314
  
103. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145020.png ; $k ( x )$ ; confidence 0.914
+
103. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064510/m06451055.png ; $R ^ { 1 } f \times ( Z / n Z )$ ; confidence 0.579
  
104. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077630/r07763026.png ; $V = \oplus _ { \chi \in P _ { \phi } } V ( \chi )$ ; confidence 0.914
+
104. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065570/m06557014.png ; $L _ { \cap } \Gamma = 0$ ; confidence 0.870
  
105. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h04769076.png ; $[ \mathfrak { m } , \mathfrak { m } ] \subseteq \mathfrak { f }$ ; confidence 0.914
+
105. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q07631082.png ; $\alpha _ { i } \in h ^ { * }$ ; confidence 0.587
  
106. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145072.png ; $\operatorname { deg } K _ { X } = 2 g - 2$ ; confidence 0.913
+
106. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q076310146.png ; $\gamma \subset R ^ { 3 }$ ; confidence 0.999
  
107. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590543.png ; $f ( x ) = o ( \| x \| )$ ; confidence 0.912
+
107. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r07764051.png ; $x ^ { 3 } + x y ^ { 3 } + z ^ { 2 }$ ; confidence 0.999
  
108. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830382.png ; $k a \neq 0$ ; confidence 0.910
+
108. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r0776409.png ; $C ^ { \prime \prime } / G$ ; confidence 0.246
  
109. 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
+
109. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080900/r08090015.png ; $\alpha \in \phi ( T , G )$ ; confidence 0.999
  
110. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590491.png ; $( x _ { 0 } , y _ { 0 } ) \in G$ ; confidence 0.910
+
110. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590157.png ; $V ^ { \prime } ( \alpha )$ ; confidence 0.707
  
111. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024048.png ; $F ^ { * }$ ; confidence 0.910
+
111. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021620/c021620170.png ; $w _ { 1 } , \ldots , w _ { n }$ ; confidence 0.083
  
112. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120537.png ; $f ^ { * * } = f$ ; confidence 0.910
+
112. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590392.png ; $\sum _ { X } \delta _ { X }$ ; confidence 0.524
  
113. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820147.png ; $W ( A ) = C ( G _ { W } ; A )$ ; confidence 0.909
+
113. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590259.png ; $\hat { D } \backslash K$ ; confidence 0.569
  
114. 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
+
114. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025030/c02503036.png ; $x _ { 0 } , \ldots , x _ { x }$ ; confidence 0.299
  
115. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145039.png ; $\operatorname { Pic } ( X )$ ; confidence 0.908
+
115. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590466.png ; $f ( x , y ) = x ^ { 3 } + y ^ { 4 }$ ; confidence 1.000
  
116. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q07631030.png ; $j < l$ ; confidence 0.908
+
116. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012250/a01225031.png ; $z = ( z 1 , \dots , z _ { r } )$ ; confidence 0.277
  
117. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130020/b13002056.png ; $x \in J$ ; confidence 0.908
+
117. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082040/r08204062.png ; $b \in \overline { C }$ ; confidence 0.690
  
118. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797093.png ; $x ^ { s } = 0$ ; confidence 0.908
+
118. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130530/s13053063.png ; $q = p , p ^ { 2 } , p ^ { 3 } , . .$ ; confidence 0.448
  
119. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074720/p07472077.png ; $x , y \in \Gamma$ ; confidence 0.908
+
119. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t13013019.png ; $\Gamma ^ { \diamond p }$ ; confidence 0.269
  
120. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110440/a11044013.png ; $f _ { 2 }$ ; confidence 0.907
+
120. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014061.png ; $( v _ { i } \times v _ { j } )$ ; confidence 0.991
  
121. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t13013037.png ; $X = \{ C : \operatorname { Hom } _ { \Lambda } ( C , Y ) = 0 \}$ ; confidence 0.907
+
121. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094200/t09420028.png ; $\mathfrak { g } [ ( 2 , R )$ ; confidence 0.196
  
122. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020080.png ; $6$ ; confidence 0.907
+
122. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050293.png ; $n \rightarrow \infty$ ; confidence 0.989
  
123. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054070.png ; $K _ { 2 } Q = \coprod _ { p } \mu _ { p }$ ; confidence 0.907
+
123. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015690/b01569020.png ; $X _ { 1 } + \ldots + X _ { x }$ ; confidence 0.933
  
124. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058610/l05861048.png ; $SU ( n + 1 )$ ; confidence 0.907
+
124. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090252.png ; $h ^ { * } = Hom _ { C } ( h , C )$ ; confidence 0.220
  
125. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024230/c024230121.png ; $\Sigma _ { 2 }$ ; confidence 0.907
+
125. https://www.encyclopediaofmath.org/legacyimages/w/w098/w098100/w098100184.png ; $p ^ { 0 } , p ^ { 1 } , p ^ { 2 } ,$ ; confidence 0.934
  
126. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830322.png ; $\operatorname { deg } _ { A } ( F ) < \operatorname { deg } _ { A } ( A )$ ; confidence 0.907
+
126. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145042.png ; $Cl ( X ) / Cl ^ { 0 } ( X ) = Z$ ; confidence 0.417
  
127. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b017470228.png ; $2 g$ ; confidence 0.907
+
127. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022027.png ; $u _ { 1 } , \dots , u _ { p }$ ; confidence 0.550
  
128. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077630/r077630106.png ; $\phi _ { i } ^ { Fr ^ { i } }$ ; confidence 0.906
+
128. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011520/a01152026.png ; $G ( x ) = \{ g x : g \in G \}$ ; confidence 0.673
  
129. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013180/a01318019.png ; $C ^ { 1 }$ ; confidence 0.906
+
129. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011530/a0115308.png ; $b _ { 1 } , \dots , b _ { n }$ ; confidence 0.298
  
130. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120020/c12002057.png ; $SO ( n )$ ; confidence 0.906
+
130. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164062.png ; $H ^ { 1 } ( V , O _ { V } ( D ) )$ ; confidence 0.999
  
131. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012290/a01229032.png ; $U ^ { p ^ { 2 } }$ ; confidence 0.905
+
131. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164038.png ; $p _ { g } ( V ) - p _ { x } ( V )$ ; confidence 0.269
  
132. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150016.png ; $E$ ; confidence 0.905
+
132. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a014170126.png ; $( X \times V ) / \Gamma$ ; confidence 0.968
  
133. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450122.png ; $m \equiv l ( D ) - 1$ ; confidence 0.905
+
133. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a01417066.png ; $x _ { 0 } \in \partial X$ ; confidence 0.941
  
134. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780539.png ; $p$ ; confidence 0.905
+
134. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020570/c0205702.png ; $e _ { i } , f _ { i } , h _ { i }$ ; confidence 0.735
  
135. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797069.png ; $\iota = p ^ { * }$ ; confidence 0.905
+
135. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020570/c02057044.png ; $S _ { 1 } , \dots , S _ { N }$ ; confidence 0.233
  
136. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095240/u09524049.png ; $F ^ { - 1 } ( y ) = \operatorname { inf } \{ x : F ( x ) \leq y \leq F ( x + 0 ) \}$ ; confidence 0.904
+
136. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d0307003.png ; $\pi : X \rightarrow S$ ; confidence 0.795
  
137. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110010/c1100101.png ; $A _ { 0 }$ ; confidence 0.904
+
137. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d03070059.png ; $H ^ { 2 } ( X , \Theta ) = 0$ ; confidence 0.998
  
138. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h04769029.png ; $e H = H$ ; confidence 0.904
+
138. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d03070022.png ; $\pi : X \rightarrow S$ ; confidence 0.101
  
139. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058690/l05869019.png ; $t ( F )$ ; confidence 0.904
+
139. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830296.png ; $\sum i A u _ { A } ^ { i - 1 }$ ; confidence 0.484
  
140. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700246.png ; $H ^ { 2 } ( \mathfrak { A } , V ) = 0$ ; confidence 0.903
+
140. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830109.png ; $\dot { w } _ { k j } \geq 0$ ; confidence 0.199
  
141. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830198.png ; $\partial F / \partial Y _ { i j }$ ; confidence 0.903
+
141. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120161.png ; $H _ { \Phi } ^ { p } ( X , F )$ ; confidence 0.947
  
142. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830241.png ; $G ( G / F _ { 1 } )$ ; confidence 0.903
+
142. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120192.png ; $H ^ { p } ( X , O _ { X } ( D ) )$ ; confidence 0.993
  
143. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040063.png ; $G / B$ ; confidence 0.903
+
143. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120564.png ; $f _ { i } ( x ) \leq y _ { i }$ ; confidence 0.993
  
144. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a01417037.png ; $M / \Gamma$ ; confidence 0.903
+
144. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120530/b12053030.png ; $f _ { n } \rightarrow f$ ; confidence 0.940
  
145. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130530/s130530106.png ; $| W |$ ; confidence 0.902
+
145. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030020/d030020120.png ; $\pi : X \rightarrow Y$ ; confidence 0.983
  
146. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830160.png ; $u = \frac { F ( t _ { 1 } , \ldots , t _ { x } ) } { G ( t _ { 1 } , \ldots , t _ { x } ) }$ ; confidence 0.902
+
146. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820191.png ; $1,2 , \ldots , \infty$ ; confidence 0.550
  
147. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058610/l05861082.png ; $T ^ { 2 x }$ ; confidence 0.902
+
147. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820145.png ; $G _ { m } ( X , Y ) = X + Y + X Y$ ; confidence 0.797
  
148. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077670/r07767031.png ; $SO ( n , f )$ ; confidence 0.902
+
148. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820173.png ; $F ( \overline { m } )$ ; confidence 0.760
  
149. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l058510115.png ; $\operatorname { dim } \mathfrak { g } = n ( 2 n + 1 )$ ; confidence 0.902
+
149. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g13002012.png ; $( d / d z ) e ^ { z } = e ^ { z }$ ; confidence 0.981
  
150. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021056.png ; $n = 1$ ; confidence 0.901
+
150. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047410/h047410135.png ; $( \dot { x } , \dot { y } )$ ; confidence 0.984
  
151. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064510/m064510131.png ; $A _ { 8 }$ ; confidence 0.901
+
151. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047410/h047410137.png ; $F ( x , y , \xi , \eta ) > 0$ ; confidence 0.999
  
152. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014031.png ; $\beta : i \rightarrow j$ ; confidence 0.901
+
152. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014140/a01414091.png ; $A _ { 1 } , \dots , A _ { m }$ ; confidence 0.468
  
153. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011520/a01152028.png ; $G _ { X } = \{ g \in G : g x = x \}$ ; confidence 0.901
+
153. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047700/h04770029.png ; $G ( k ) _ { x } = G _ { X } ( k )$ ; confidence 0.602
  
154. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h047690120.png ; $\operatorname { Sp } ( k ) \times U ( 1 )$ ; confidence 0.901
+
154. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047700/h04770032.png ; $M ( k ) \neq \emptyset$ ; confidence 0.957
  
155. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077630/r07763085.png ; $S _ { d } ^ { d }$ ; confidence 0.901
+
155. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797053.png ; $\{ e \} \rightarrow G$ ; confidence 0.980
  
156. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058520/l05852046.png ; $\operatorname { dim } \mathfrak { g } _ { i } = \operatorname { dim } \mathfrak { g } - i$ ; confidence 0.901
+
156. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052350/i052350102.png ; $\pi : X \rightarrow W$ ; confidence 0.997
  
157. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120193.png ; $H ^ { n - p } ( X , O _ { X } ( K - D ) )$ ; confidence 0.900
+
157. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l05851054.png ; $\alpha + \beta \neq 0$ ; confidence 1.000
  
158. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690073.png ; $R _ { G } ^ { k } ( X )$ ; confidence 0.900
+
158. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l058510181.png ; $0 \leq p \leq ( n + 1 ) / 2$ ; confidence 0.997
  
159. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590520.png ; $X _ { i } \in C ^ { 1 } ( G )$ ; confidence 0.900
+
159. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058480/l05848033.png ; $D \in \text { Lie } ( G )$ ; confidence 0.695
  
160. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120535.png ; $f ^ { * } ( x ^ { * } ) = \operatorname { sup } _ { x \in X } ( \langle x ^ { * } , x \rangle - f ( x ) )$ ; confidence 0.900
+
160. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l058590143.png ; $( b , e ) \rightarrow b$ ; confidence 0.673
  
161. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t1301401.png ; $Q = ( Q _ { 0 } , Q _ { 1 } )$ ; confidence 0.900
+
161. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l058720138.png ; $W _ { n } , S _ { n } , \dots$ ; confidence 0.347
  
162. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025930/c02593092.png ; $\Lambda \in \mathfrak { g } ^ { * }$ ; confidence 0.899
+
162. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872024.png ; $x \rightarrow x ^ { p }$ ; confidence 0.580
  
163. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240496.png ; $s = 2$ ; confidence 0.899
+
163. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872025.png ; $( x ^ { p } ) = ( a d x ) ^ { p }$ ; confidence 0.801
  
164. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058360/l058360168.png ; $x$ ; confidence 0.899
+
164. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058760/l0587606.png ; $\{ e \} \times \Omega$ ; confidence 0.933
  
165. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040550/f04055028.png ; $V _ { 1 } \subset \ldots \subset V _ { n - 1 }$ ; confidence 0.899
+
165. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072670/p07267013.png ; $S _ { f } ^ { \prime } p q c$ ; confidence 0.760
  
166. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027560/c0275606.png ; $k = Q$ ; confidence 0.899
+
166. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074640/p0746405.png ; $\pi : P \rightarrow B$ ; confidence 0.962
  
167. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020570/c02057038.png ; $O ^ { p } \rightarrow O ^ { q } \rightarrow S \rightarrow 0$ ; confidence 0.899
+
167. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046550/h04655016.png ; $\{ U _ { i } \} _ { i \in I }$ ; confidence 0.994
  
168. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059250/l059250103.png ; $SK _ { 1 } = UL ( n , K ) / SL ( n , K )$ ; confidence 0.898
+
168. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077630/r077630106.png ; $\phi _ { i } ^ { Fr ^ { i } }$ ; confidence 0.906
  
169. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830186.png ; $F \{ u \}$ ; confidence 0.898
+
169. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r07764048.png ; $x ^ { 3 } + y ^ { 4 } + z ^ { 2 }$ ; confidence 1.000
  
170. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l05851043.png ; $\alpha \in \Sigma$ ; confidence 0.898
+
170. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r0776403.png ; $\pi : Y \rightarrow X$ ; confidence 0.996
  
171. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700137.png ; $\kappa ^ { \prime } \rightarrow \operatorname { Spec } \Lambda$ ; confidence 0.898
+
171. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r07764054.png ; $x ^ { 3 } + y ^ { 5 } + z ^ { 2 }$ ; confidence 1.000
  
172. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025930/c02593036.png ; $( e )$ ; confidence 0.897
+
172. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081030/r08103034.png ; $\Phi _ { k } ( S _ { l } , G )$ ; confidence 0.605
  
173. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690090.png ; $C ^ { * } ( G , B )$ ; confidence 0.897
+
173. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081370/r08137020.png ; $\{ \rho ^ { \alpha } \}$ ; confidence 0.945
  
174. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020550/c02055049.png ; $1$ ; confidence 0.897
+
174. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590491.png ; $( x _ { 0 } , y _ { 0 } ) \in G$ ; confidence 0.910
  
175. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025930/c02593048.png ; $d \phi$ ; confidence 0.897
+
175. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590410.png ; $\pi : X \rightarrow X$ ; confidence 0.941
  
176. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130530/s13053036.png ; $\chi ( x )$ ; confidence 0.897
+
176. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590490.png ; $X ( x , y ) d y = Y ( x , y ) d x$ ; confidence 0.999
  
177. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700232.png ; $K = \operatorname { Comm } ( V )$ ; confidence 0.897
+
177. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559027.png ; $\phi _ { 1 } ( 0 ) = \zeta$ ; confidence 0.997
  
178. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052350/i05235022.png ; $D = b ^ { 2 } - a c$ ; confidence 0.896
+
178. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559031.png ; $\phi _ { 2 } ( 0 ) = \zeta$ ; confidence 0.994
  
179. https://www.encyclopediaofmath.org/legacyimages/w/w098/w098100/w098100198.png ; $f V = V f = p$ ; confidence 0.896
+
179. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590493.png ; $X , Y : G \rightarrow R$ ; confidence 0.995
  
180. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011740/a0117402.png ; $X$ ; confidence 0.896
+
180. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590544.png ; $\| x \| \rightarrow 0$ ; confidence 0.573
  
181. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a014170110.png ; $X \rightarrow X$ ; confidence 0.896
+
181. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559026.png ; $0 < \tau _ { 1 } \leq 1$ ; confidence 0.993
  
182. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t13013030.png ; $F = \{ C : \operatorname { Hom } _ { \Lambda } ( T , C ) = 0 \}$ ; confidence 0.896
+
182. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087080/s08708042.png ; $I ( T , \aleph _ { 1 } ) = 1$ ; confidence 0.989
  
183. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300106.png ; $B$ ; confidence 0.895
+
183. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054024.png ; $\pi : H \rightarrow G$ ; confidence 0.999
  
184. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t130130124.png ; $\Gamma = \operatorname { End } _ { \Lambda } T$ ; confidence 0.895
+
184. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093350/t0933506.png ; $\epsilon = \alpha / l$ ; confidence 0.681
  
185. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022022.png ; $Y$ ; confidence 0.894
+
185. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095240/u09524060.png ; $\{ \alpha t + \beta \}$ ; confidence 0.995
  
186. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058760/l05876050.png ; $\| \xi _ { i j } \|$ ; confidence 0.894
+
186. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013820/a01382015.png ; $X _ { 1 } , X _ { 2 } , \dots$ ; confidence 0.434
  
187. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008029.png ; $v \in V$ ; confidence 0.893
+
187. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090339.png ; $e _ { \alpha } ^ { i } / i !$ ; confidence 0.769
  
188. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q07631089.png ; $[ X _ { i } ^ { + } , X _ { j } ^ { - } ] = 2 \delta _ { i j } h ^ { - 1 } \operatorname { sinh } ( h H _ { i } / 2 )$ ; confidence 0.893
+
188. https://www.encyclopediaofmath.org/legacyimages/w/w098/w098100/w098100176.png ; $x V _ { x } = 1 + \ldots + 1$ ; confidence 0.202
  
189. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640156.png ; $p _ { g } = 1$ ; confidence 0.893
+
189. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145075.png ; $K _ { X } = X ( X + K _ { F } )$ ; confidence 0.598
  
190. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120219.png ; $H _ { K } ^ { p } ( X , F )$ ; confidence 0.893
+
190. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150029.png ; $\Omega ^ { \tau } [ X ]$ ; confidence 0.979
  
191. 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
+
191. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164048.png ; $= \chi ( V , O _ { V } ) - 1$ ; confidence 0.976
  
192. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t130140149.png ; $K$ ; confidence 0.892
+
192. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a014170137.png ; $u \in \mathfrak { Q }$ ; confidence 0.079
  
193. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a0116408.png ; $| K _ { V } |$ ; confidence 0.892
+
193. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012200/a012200105.png ; $C ^ { \prime \prime }$ ; confidence 0.135
  
194. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e03696093.png ; $\eta ^ { \prime }$ ; confidence 0.892
+
194. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020550/c02055013.png ; $x \in \mathfrak { Q }$ ; confidence 0.246
  
195. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097710/w09771016.png ; $W ( G )$ ; confidence 0.892
+
195. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020550/c02055064.png ; $h \in \mathfrak { q }$ ; confidence 0.234
  
196. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590596.png ; $\frac { d w } { d z } = P ( z , w )$ ; confidence 0.892
+
196. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d03070096.png ; $( . S ) \rightarrow D$ ; confidence 0.848
  
197. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090299.png ; $n ^ { + }$ ; confidence 0.892
+
197. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032490/d03249035.png ; $F ( \eta ) = F ( \zeta )$ ; confidence 0.956
  
198. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058480/l05848081.png ; $( G )$ ; confidence 0.892
+
198. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032490/d03249033.png ; $F ( \eta ) = F ( \zeta )$ ; confidence 0.999
  
199. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120552.png ; $- F ^ { * } ( 0 , y ^ { * } ) \rightarrow \operatorname { sup } , \quad y ^ { * } \in Y ^ { * }$ ; confidence 0.892
+
199. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120310.png ; $g \in \overline { g }$ ; confidence 0.309
  
200. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820111.png ; $A \otimes z Q$ ; confidence 0.892
+
200. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120381.png ; $f ^ { * } ( z ) \in B ^ { 1 }$ ; confidence 0.999
  
201. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024051.png ; $3$ ; confidence 0.891
+
201. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120225.png ; $Y \subset X = C P ^ { 1 }$ ; confidence 0.810
  
202. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058680/l05868023.png ; $\Gamma ( G ) \subset \mathfrak { h }$ ; confidence 0.891
+
202. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120291.png ; $\forall G \in O ^ { F }$ ; confidence 0.997
  
203. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a0141708.png ; $X = M / \Gamma$ ; confidence 0.891
+
203. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120119.png ; $H ^ { n - r } ( M ^ { n } , X )$ ; confidence 0.810
  
204. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025650/c02565076.png ; $\{ f _ { n } \}$ ; confidence 0.891
+
204. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e036960119.png ; $G \subset \sigma G K$ ; confidence 0.686
  
205. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q07631097.png ; $\Delta ( \alpha ) = \alpha \otimes 1 + 1 \otimes \alpha$ ; confidence 0.891
+
205. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e036960118.png ; $\sigma G \subset G K$ ; confidence 0.789
  
206. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e03696064.png ; $y _ { j } \theta$ ; confidence 0.890
+
206. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h04769053.png ; $g H \rightarrow g x 0$ ; confidence 0.414
  
207. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l058510120.png ; $\operatorname { dim } \mathfrak { g } = n ( 2 n - 1 )$ ; confidence 0.890
+
207. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h047970121.png ; $( A , \mu , \epsilon )$ ; confidence 0.999
  
208. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h047970120.png ; $( A , m , e )$ ; confidence 0.889
+
208. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054270/j05427058.png ; $\{ q \times q \} \in Q$ ; confidence 0.530
  
209. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014091.png ; $R \simeq K Q / I$ ; confidence 0.889
+
209. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054270/j05427078.png ; $x \in \mathfrak { a }$ ; confidence 0.231
  
210. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090388.png ; $\pi$ ; confidence 0.889
+
210. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021040/c021040114.png ; $\alpha , \beta \in F$ ; confidence 0.992
  
211. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013047.png ; $i$ ; confidence 0.889
+
211. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110070/k1100709.png ; $\pi : G \rightarrow$ ; confidence 0.989
  
212. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032490/d03249023.png ; $F = G _ { 0 } \subset G _ { 1 } \subset \ldots$ ; confidence 0.888
+
212. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120030/k12003033.png ; $E \neq \emptyset$ ; confidence 0.475
  
213. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054047.png ; $\{ a , b \} = 1$ ; confidence 0.888
+
213. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l058510138.png ; $X \in \mathfrak { h }$ ; confidence 0.384
  
214. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l058590191.png ; $u , v , u v \in U _ { 2 }$ ; confidence 0.887
+
214. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040057.png ; $\mathfrak { g } _ { Q }$ ; confidence 0.115
  
215. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110170/d11017032.png ; $C _ { 3 }$ ; confidence 0.887
+
215. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058680/l05868060.png ; $Z _ { 2 } \oplus Z _ { 2 }$ ; confidence 0.656
  
216. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066490/n06649064.png ; $R < \infty$ ; confidence 0.887
+
216. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058690/l05869039.png ; $R ^ { n } \times T ^ { m }$ ; confidence 0.811
  
217. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a01417020.png ; $M = P ^ { 1 } ( C )$ ; confidence 0.887
+
217. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872014.png ; $\Lambda _ { p } ( x , y )$ ; confidence 0.997
  
218. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590485.png ; $X ( a ) = 0$ ; confidence 0.887
+
218. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872099.png ; $L = L _ { k } / Z ( L _ { k } )$ ; confidence 0.998
  
219. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064510/m06451033.png ; $\phi : M ( pt ) \rightarrow h _ { M } ( pt )$ ; confidence 0.886
+
219. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063010/m063010118.png ; $X ( T ) \otimes _ { Z } R$ ; confidence 0.820
  
220. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120252.png ; $\operatorname { Re } ( z e ^ { - i \phi } ) > c$ ; confidence 0.886
+
220. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063010/m06301044.png ; $G = GL _ { \times } ( k )$ ; confidence 0.103
  
221. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q076310143.png ; $( t _ { j } )$ ; confidence 0.885
+
221. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063010/m063010103.png ; $i = q + 1 , \ldots , n - q$ ; confidence 0.497
  
222. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001030.png ; $5$ ; confidence 0.885
+
222. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063010/m063010128.png ; $X ( S ) \otimes _ { Z } R$ ; confidence 0.228
  
223. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052350/i0523503.png ; $y \rightarrow \gamma x + \delta y$ ; confidence 0.885
+
223. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064510/m06451047.png ; $\overline { M } _ { g }$ ; confidence 0.864
  
224. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q076310124.png ; $R ^ { 23 } = \sum _ { i } 1 \otimes x _ { i } \otimes y _ { i }$ ; confidence 0.885
+
224. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690083.png ; $d f . f ^ { - 1 } = \alpha$ ; confidence 0.609
  
225. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830319.png ; $u _ { A }$ ; confidence 0.885
+
225. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070010/o07001069.png ; $G \rightarrow G ( x )$ ; confidence 0.991
  
226. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164098.png ; $V \rightarrow V ^ { \prime }$ ; confidence 0.885
+
226. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070010/o070010111.png ; $x , y \in X _ { \alpha }$ ; confidence 0.496
  
227. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e0369602.png ; $F \supset F _ { 0 }$ ; confidence 0.883
+
227. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070010/o07001082.png ; $Y \mapsto A Y A ^ { - 1 }$ ; confidence 0.996
  
228. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820155.png ; $\alpha _ { \gamma } ( \gamma _ { 0 } ( T ) ) = \gamma ( T )$ ; confidence 0.883
+
228. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070010/o07001031.png ; $\pi _ { X , G } ^ { 1 } ( U )$ ; confidence 0.355
  
229. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025420/c02542017.png ; $i = 0,1$ ; confidence 0.883
+
229. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072670/p07267047.png ; $H ^ { 2 } ( F , O _ { F } ) = 0$ ; confidence 0.997
  
230. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086100/s08610069.png ; $\pi _ { i } ( M ) = 0$ ; confidence 0.882
+
230. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077630/r07763060.png ; $\chi \in X ( T ) = X ( B )$ ; confidence 0.953
  
231. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011740/a01174022.png ; $\operatorname { PLG } ( N , k )$ ; confidence 0.882
+
231. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077630/r07763076.png ; $k [ G ] - w _ { 0 } ( \chi )$ ; confidence 0.971
  
232. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q076310123.png ; $R ^ { 13 } = \sum _ { i } x _ { i } \otimes 1 \otimes y _ { i }$ ; confidence 0.882
+
232. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077630/r07763047.png ; $V ( \delta _ { \phi } )$ ; confidence 0.999
  
233. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054270/j05427080.png ; $[ \alpha , \mathfrak { g } - 1 ] = 0$ ; confidence 0.882
+
233. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081030/r08103090.png ; $\alpha \in \Delta k$ ; confidence 0.839
  
234. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090295.png ; $\mathfrak { n } ^ { + } = \sum _ { \alpha \in \Phi ^ { + } } \mathfrak { g } _ { \alpha }$ ; confidence 0.882
+
234. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590279.png ; $z \in D \backslash P$ ; confidence 0.996
  
235. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590402.png ; $y = \sum _ { i \geq n } a _ { i } t$ ; confidence 0.881
+
235. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590406.png ; $m _ { 2 } / n _ { 1 } n _ { 2 }$ ; confidence 0.468
  
236. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058470/l0584705.png ; $90 = g$ ; confidence 0.881
+
236. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590526.png ; $\alpha , b , c , e \in R$ ; confidence 0.714
  
237. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164035.png ; $t = r = d = 0$ ; confidence 0.881
+
237. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023720/c023720113.png ; $x \in \overline { C }$ ; confidence 0.299
  
238. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l058510105.png ; $\operatorname { dim } \mathfrak { g } = n ( n + 2 )$ ; confidence 0.881
+
238. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590282.png ; $f ( z ) = z _ { 1 } / z _ { 2 }$ ; confidence 0.995
  
239. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120270/b12027061.png ; $p _ { j } \geq 0$ ; confidence 0.881
+
239. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559017.png ; $z \in \overline { C }$ ; confidence 0.606
  
240. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q07631012.png ; $S : A \rightarrow A \otimes A$ ; confidence 0.881
+
240. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021610/c021610124.png ; $( x _ { 0 } , y 0 , z _ { 0 } )$ ; confidence 0.736
  
241. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090355.png ; $M _ { K } = K \otimes _ { Z } M$ ; confidence 0.880
+
241. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044340/g04434040.png ; $N ^ { \prime \prime }$ ; confidence 0.241
  
242. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120443.png ; $A \cup \{ O \}$ ; confidence 0.880
+
242. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015110/b01511048.png ; $\Gamma = \partial D$ ; confidence 0.996
  
243. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050176.png ; $F _ { q }$ ; confidence 0.880
+
243. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590520.png ; $X _ { i } \in C ^ { 1 } ( G )$ ; confidence 0.900
  
244. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797085.png ; $H ^ { * } ( G , K )$ ; confidence 0.879
+
244. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590269.png ; $\psi _ { \alpha } ( z )$ ; confidence 0.556
  
245. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077630/r077630100.png ; $0 \leq \frac { 2 ( \chi , \alpha ) } { ( \alpha , \alpha ) } < p \quad \text { for all } \alpha \in \Delta$ ; confidence 0.879
+
245. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086100/s08610044.png ; $M ^ { * } \times R ^ { n }$ ; confidence 0.965
  
246. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590501.png ; $X : G \rightarrow R$ ; confidence 0.878
+
246. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054097.png ; $\{ a , b \} _ { \infty }$ ; confidence 0.753
  
247. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q076310113.png ; $( \text { id } \otimes \Delta ) ( R ) = R ^ { 13 } R ^ { 12 }$ ; confidence 0.878
+
247. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054088.png ; $SL _ { \eta } ( Q _ { p } )$ ; confidence 0.164
  
248. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150023.png ; $x = \lambda ( \theta ) , y = \Delta ( \theta )$ ; confidence 0.878
+
248. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054049.png ; $\alpha , b \in F ^ { * }$ ; confidence 0.802
  
249. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110580/b1105803.png ; $E ^ { * }$ ; confidence 0.878
+
249. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095240/u09524021.png ; $u _ { 2 } ( x ) = 1 - | 1 - x |$ ; confidence 0.753
  
250. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640114.png ; $p _ { g } = 0$ ; confidence 0.877
+
250. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w12009054.png ; $\Lambda ^ { + } ( n , r )$ ; confidence 0.990
  
251. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058660/l05866032.png ; $N ( n , R )$ ; confidence 0.877
+
251. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450244.png ; $f : V \rightarrow B$ ; confidence 0.999
  
252. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120403.png ; $y = 0$ ; confidence 0.876
+
252. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450197.png ; $X \simeq C / \Omega$ ; confidence 0.652
  
253. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145024.png ; $p 3$ ; confidence 0.875
+
253. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150017.png ; $\lambda ( \theta )$ ; confidence 1.000
  
254. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058680/l05868042.png ; $Z _ { g } = \Gamma _ { 1 } / \Gamma _ { 0 }$ ; confidence 0.875
+
254. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011740/a01174036.png ; $x ^ { \prime } = a x + b$ ; confidence 0.968
  
255. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012330/a01233063.png ; $f ( X )$ ; confidence 0.875
+
255. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a014170113.png ; $f : X \rightarrow V$ ; confidence 0.997
  
256. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164087.png ; $H _ { 2 } ( V , Z )$ ; confidence 0.875
+
256. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a014170143.png ; $f : G \rightarrow V$ ; confidence 0.998
  
257. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050132.png ; $R ^ { N }$ ; confidence 0.875
+
257. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020550/c02055058.png ; $t \otimes _ { k } K$ ; confidence 0.618
  
258. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012200/a01220067.png ; $f _ { 0 } ( z )$ ; confidence 0.874
+
258. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020550/c02055037.png ; $\mathfrak { d } ( V )$ ; confidence 0.184
  
259. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010299.png ; $m$ ; confidence 0.874
+
259. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020044.png ; $\alpha _ { \xi j } = 0$ ; confidence 0.237
  
260. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011620/a01162016.png ; $m > 2$ ; confidence 0.874
+
260. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020570/c0205705.png ; $[ h _ { i } , h _ { j } ] = 0$ ; confidence 0.982
  
261. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043930/g0439306.png ; $h ; G \rightarrow A$ ; confidence 0.874
+
261. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023330/c02333012.png ; $\{ X _ { i } : i \in I \}$ ; confidence 0.949
  
262. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058830/l05883010.png ; $\epsilon \neq 0$ ; confidence 0.874
+
262. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d03070049.png ; $H ^ { 1 } ( X , \Theta )$ ; confidence 0.811
  
263. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110100/b110100235.png ; $D _ { n }$ ; confidence 0.874
+
263. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700264.png ; $\phi _ { i } \in A ( V )$ ; confidence 0.995
  
264. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590274.png ; $\phi _ { \alpha } ( \alpha ) \neq 0$ ; confidence 0.873
+
264. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700187.png ; $\hat { M } _ { X _ { 0 } }$ ; confidence 0.726
  
265. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022360/c02236032.png ; $E ^ { 3 }$ ; confidence 0.873
+
265. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700120.png ; $X \cong M \times M S$ ; confidence 0.363
  
266. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040741.png ; $R ^ { \prime }$ ; confidence 0.873
+
266. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d03070040.png ; $d f _ { 0 } ^ { \prime }$ ; confidence 0.853
  
267. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700270.png ; $\Phi ( \alpha ) = \alpha + \sum _ { i = 1 } ^ { \infty } t ^ { i } \phi _ { i } ( \alpha ) , \quad \alpha \in V$ ; confidence 0.873
+
267. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031550/d03155046.png ; $G _ { a k } \cap G _ { Q }$ ; confidence 0.091
  
268. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r07764042.png ; $C _ { n } + 1$ ; confidence 0.872
+
268. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013820/a01382017.png ; $\theta \in \Theta$ ; confidence 0.996
  
269. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l058590134.png ; $S \cap R ( G ) = ( e )$ ; confidence 0.872
+
269. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d03183049.png ; $\alpha _ { m } ( p ) = 0$ ; confidence 0.433
  
270. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130210/d13021013.png ; $G$ ; confidence 0.872
+
270. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d03183050.png ; $a _ { m - 1 } ( p ) \leq h$ ; confidence 0.510
  
271. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054270/j05427061.png ; $\{ a b c \} = ( a b ) c + ( b c ) a - ( c a ) b$ ; confidence 0.872
+
271. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830384.png ; $0 \neq \alpha \in R$ ; confidence 0.515
  
272. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054032.png ; $x ( \alpha ) = x _ { 12 } ( \alpha )$ ; confidence 0.871
+
272. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b1202103.png ; $U ( \mathfrak { g } )$ ; confidence 0.997
  
273. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q07631018.png ; $i ( c ) = c .1 _ { A }$ ; confidence 0.871
+
273. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120240/d12024034.png ; $\mathfrak { g } ( f )$ ; confidence 0.484
  
274. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590458.png ; $= \left\{ \begin{array} { l l } { ( x + \lambda ) ^ { 2 } \ldots ( x + k \lambda ) ^ { 2 } } & { \text { if } \mu = 2 k } \\ { ( x + \lambda ) ^ { 2 } \ldots ( x + k \lambda ) ^ { 2 } ( x + ( k + 1 ) \lambda ) } & { \text { if } \mu = 2 k + 1 } \end{array} \right.$ ; confidence 0.870
+
274. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120438.png ; $( G , \sigma ( G , F ) )$ ; confidence 1.000
  
275. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d03070086.png ; $Y \rightarrow S$ ; confidence 0.870
+
275. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120342.png ; $O \subset A _ { R }$ ; confidence 0.132
  
276. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065570/m06557014.png ; $L _ { \cap } \Gamma = 0$ ; confidence 0.870
+
276. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d03412069.png ; $H ^ { \prime } ( X , A )$ ; confidence 0.454
  
277. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004059.png ; $S \supset T$ ; confidence 0.870
+
277. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120334.png ; $0 < R , P \leq \infty$ ; confidence 0.999
  
278. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s130540124.png ; $1 + a b \in R ^ { x }$ ; confidence 0.869
+
278. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120339.png ; $\Lambda _ { \zeta }$ ; confidence 0.396
  
279. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450154.png ; $M _ { g }$ ; confidence 0.869
+
279. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120345.png ; $L _ { z } F ( z , \zeta )$ ; confidence 0.928
  
280. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110070/k11007036.png ; $L _ { ( p ^ { \nu } - 1 ) \rho }$ ; confidence 0.869
+
280. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e03696071.png ; $( y _ { j } ) _ { j \in J }$ ; confidence 0.922
  
281. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072670/p07267035.png ; $S = \operatorname { Spec } ( k )$ ; confidence 0.869
+
281. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e03696061.png ; $\delta \in \Delta$ ; confidence 0.996
  
282. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120130/a12013020.png ; $X$ ; confidence 0.869
+
282. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e036960150.png ; $y ^ { \dot { d } } - b = 0$ ; confidence 0.484
  
283. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120240/d12024043.png ; $f + 1 / 2 tr$ ; confidence 0.868
+
283. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820147.png ; $W ( A ) = C ( G _ { W } ; A )$ ; confidence 0.909
  
284. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700202.png ; $M X _ { 0 } , \alpha \subset M X _ { 0 }$ ; confidence 0.868
+
284. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082094.png ; $\alpha _ { i } ( 0 ) = 0$ ; confidence 1.000
  
285. 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
+
285. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h047970117.png ; $e : K \rightarrow A$ ; confidence 0.837
  
286. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240209.png ; $S$ ; confidence 0.868
+
286. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h047970133.png ; $( A , m _ { A } , e _ { A } )$ ; confidence 0.808
  
287. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559095.png ; $( \alpha , \{ L \} )$ ; confidence 0.868
+
287. https://www.encyclopediaofmath.org/legacyimages/i/i053/i053060/i05306040.png ; $K \times A \times N$ ; confidence 0.988
  
288. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130010/b13001046.png ; $\Gamma$ ; confidence 0.868
+
288. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054270/j05427037.png ; $H ( F _ { 2 } n , J _ { S } )$ ; confidence 0.523
  
289. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690018.png ; $H ^ { 0 } ( C ^ { * } ) = \rho ^ { - 1 } ( \text { Aut } C ^ { 1 } )$ ; confidence 0.868
+
289. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055170/k0551702.png ; $\{ z \in C : | z | < 1 \}$ ; confidence 0.975
  
290. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e13003084.png ; $G L$ ; confidence 0.867
+
290. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058500/l0585005.png ; $3 ( \mathfrak { g } )$ ; confidence 0.544
  
291. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700244.png ; $H ^ { 3 } ( \mathfrak { A } , V ) = 0$ ; confidence 0.867
+
291. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l058510198.png ; $0 \leq p \leq n / 2$ ; confidence 0.998
  
292. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023250/c02325070.png ; $| Y$ ; confidence 0.867
+
292. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l05851043.png ; $\alpha \in \Sigma$ ; confidence 0.898
  
293. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110130/b110130192.png ; $a = b$ ; confidence 0.866
+
293. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l05859057.png ; $X \circ Y - Y \circ X$ ; confidence 0.771
  
294. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e03696065.png ; $y _ { j } \delta \theta$ ; confidence 0.866
+
294. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l058590134.png ; $S \cap R ( G ) = ( e )$ ; confidence 0.872
  
295. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042095.png ; $C ^ { * }$ ; confidence 0.866
+
295. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l058590176.png ; $L ( B ) \otimes _ { R }$ ; confidence 0.668
  
296. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164016.png ; $\operatorname { lim } | K _ { i } | + 1$ ; confidence 0.865
+
296. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l05859090.png ; $G _ { 1 } \cong G _ { 2 }$ ; confidence 1.000
  
297. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e036960200.png ; $F = C ( x )$ ; confidence 0.865
+
297. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052260/i052260112.png ; $G \rightarrow G / H$ ; confidence 0.964
  
298. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097710/w09771051.png ; $X ( T _ { 0 } ) _ { Q }$ ; confidence 0.865
+
298. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058680/l05868098.png ; $L ( \mathfrak { g } )$ ; confidence 0.971
  
299. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004042.png ; $X$ ; confidence 0.865
+
299. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058680/l05868028.png ; $2 \pi i H _ { \alpha }$ ; confidence 0.838
  
300. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830310.png ; $\operatorname { deg } _ { A } ( A ) = \operatorname { deg } _ { A } ( B )$ ; confidence 0.865
+
300. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l058720151.png ; $C _ { 2 } ( \epsilon )$ ; confidence 0.953

Latest revision as of 16:00, 26 October 2019

List

1. l05848034.png ; $\phi _ { \notin } \circ D$ ; confidence 0.136

2. l05872098.png ; $L _ { k } = L _ { Z } \otimes k$ ; confidence 0.339

3. l0587207.png ; $x \rightarrow x ^ { [ p ] }$ ; confidence 0.407

4. l05872011.png ; $x : y \rightarrow [ x , y ]$ ; confidence 0.956

5. n066900136.png ; $H _ { \alpha } ^ { 2 } ( G , A )$ ; confidence 1.000

6. n06690085.png ; $H ^ { 1 } ( \pi _ { 1 } ( M ) , G )$ ; confidence 0.999

7. n066900112.png ; $\operatorname { ln } t a$ ; confidence 0.669

8. p07267059.png ; $\Gamma ( U , O _ { X } ) ^ { * }$ ; confidence 0.805

9. p07472027.png ; $H ^ { 1 } ( S _ { T } , \Gamma )$ ; confidence 0.982

10. p07472035.png ; $\Gamma = \Gamma _ { m , S }$ ; confidence 0.682

11. r07763027.png ; $P _ { \phi } \subset X ( T )$ ; confidence 0.992

12. r07764099.png ; $A = \phi ( \text { Def } Y )$ ; confidence 0.529

13. r07764041.png ; $x ^ { n + 1 } + y ^ { 2 } + z ^ { 2 }$ ; confidence 0.993

14. r07764084.png ; $X _ { \zeta } = f ^ { - 1 } ( s )$ ; confidence 0.316

15. r081030103.png ; $\gamma \in \Delta _ { k }$ ; confidence 0.524

16. s13004070.png ; $X = \Gamma \backslash D$ ; confidence 0.989

17. s1300405.png ; $X = \Gamma \backslash H$ ; confidence 0.976

18. s085590332.png ; $f ^ { - 1 } ( s _ { 0 } ) = X _ { 0 }$ ; confidence 0.998

19. s085590525.png ; $( a x + b y ) d y = ( c x + e y ) d x$ ; confidence 0.977

20. s085590394.png ; $2 \delta _ { x } = \mu + r - 1$ ; confidence 0.593

21. s08559024.png ; $L _ { 1 } : z = \phi _ { 1 } ( t )$ ; confidence 0.991

22. s085590469.png ; $f ( x , y ) = x ^ { 3 } + x y ^ { 3 }$ ; confidence 1.000

23. s130530104.png ; $S ^ { r - 1 } \subset R ^ { r }$ ; confidence 0.825

24. t13013047.png ; $( T , . ) : T \rightarrow Y$ ; confidence 0.751

25. t13014071.png ; $h _ { i } \in Gl ( v _ { i } , K )$ ; confidence 0.537

26. t13014070.png ; $h _ { j } \in Gl ( v _ { j } , K )$ ; confidence 0.752

27. t13014062.png ; $\beta : j \rightarrow i$ ; confidence 0.961

28. t130140138.png ; $q : Z ^ { l } \rightarrow Z$ ; confidence 0.628

29. t13014031.png ; $\beta : i \rightarrow j$ ; confidence 0.901

30. u09540043.png ; $( m _ { 1 } , \dots , m _ { s } )$ ; confidence 0.607

31. w09771067.png ; $N _ { G } ( T ) / Z _ { G } ( T )$ ; confidence 0.990

32. c11020072.png ; $\lambda \in \Lambda$ ; confidence 0.954

33. w120090229.png ; $\nabla ( \lambda ) ^ { * }$ ; confidence 0.998

34. w120090355.png ; $M _ { K } = K \otimes _ { Z } M$ ; confidence 0.880

35. w12009020.png ; $( E ^ { \otimes \gamma } )$ ; confidence 0.789

36. w120090402.png ; $d \lambda _ { \mu } \neq 0$ ; confidence 0.604

37. a01153019.png ; $\alpha ^ { \beta ^ { 2 } }$ ; confidence 0.964

38. a01174037.png ; $y ^ { \prime } = c y + f ( x )$ ; confidence 0.990

39. a014170147.png ; $Z ( g ) \subset U g = D ( G )$ ; confidence 0.474

40. a011650260.png ; $f _ { 1 } , \ldots , f _ { x }$ ; confidence 0.439

41. c02056018.png ; $C = C _ { s } \times C _ { u }$ ; confidence 0.716

42. a014060104.png ; $\dot { i } = 1 , \ldots , r$ ; confidence 0.162

43. c02057014.png ; $h _ { 1 } , \ldots , h _ { r }$ ; confidence 0.638

44. b01703097.png ; $\phi : X \rightarrow Y$ ; confidence 0.856

45. c02347047.png ; $m _ { i j } ^ { \alpha } ( g )$ ; confidence 0.987

46. d030700199.png ; $k [ [ t ] , \dots , t ] g - 3 ]$ ; confidence 0.194

47. d030700295.png ; $D ( \alpha , 0 ) = \alpha$ ; confidence 0.840

48. d03070084.png ; $Y \subseteq X \times S$ ; confidence 0.693

49. d03155053.png ; $\phi : G \rightarrow H$ ; confidence 0.998

50. d03183012.png ; $F _ { 1 } , \ldots , F _ { p }$ ; confidence 0.532

51. c02681011.png ; $Y _ { 1 } , \ldots , Y _ { n }$ ; confidence 0.655

52. d031830340.png ; $A _ { 1 } , \ldots , A _ { r }$ ; confidence 0.444

53. d031830341.png ; $B _ { 1 } , \ldots , B _ { s }$ ; confidence 0.598

54. d031830239.png ; $G ( G / F _ { 1 } ) = G _ { 1 }$ ; confidence 0.998

55. d03059031.png ; $y _ { 1 } , \ldots , y _ { x }$ ; confidence 0.659

56. c11041095.png ; $F _ { 1 } , \ldots , F _ { n }$ ; confidence 0.653

57. d12024020.png ; $\mathfrak { g } ^ { * } / G$ ; confidence 0.592

58. d034120351.png ; $\phi ( \zeta ) \equiv 0$ ; confidence 0.999

59. d034120460.png ; $A \subset F ^ { \prime }$ ; confidence 0.995

60. d034120562.png ; $y = ( y 1 , \dots , y _ { m } )$ ; confidence 0.362

61. d034120528.png ; $x : f \rightarrow f ( x )$ ; confidence 0.987

62. d034120343.png ; $\Omega \subset A _ { P }$ ; confidence 0.647

63. d034120138.png ; $H _ { x - r - 1 } ( B , X ^ { * } )$ ; confidence 0.198

64. e03696092.png ; $c ( \eta ^ { \prime } ) = 0$ ; confidence 1.000

65. a01329042.png ; $n _ { 1 } , \ldots , n _ { k }$ ; confidence 0.348

66. a01084019.png ; $e _ { 1 } , \ldots , e _ { x }$ ; confidence 0.140

67. f0405505.png ; $V _ { 1 } , \ldots , V _ { k }$ ; confidence 0.682

68. f04082027.png ; $G : B \rightarrow G ( B )$ ; confidence 1.000

69. f040820159.png ; $\mathfrak { m } = ( \pi )$ ; confidence 0.941

70. f04082097.png ; $\alpha ( \beta ( X ) ) = X$ ; confidence 0.998

71. f040820153.png ; $\gamma ( T ) \in C ( F ; A )$ ; confidence 0.980

72. g13002023.png ; $f _ { 1 } , \ldots , f _ { d }$ ; confidence 0.639

73. h047410140.png ; $\xi ^ { 2 } + \eta ^ { 2 } = 1$ ; confidence 1.000

74. h04741059.png ; $F _ { 1 } , \ldots , F _ { m }$ ; confidence 0.547

75. h0474109.png ; $t _ { 1 } , \ldots , t _ { k }$ ; confidence 0.600

76. a12020040.png ; $t _ { 1 } , \ldots , t _ { x }$ ; confidence 0.448

77. h04770011.png ; $\phi : G \rightarrow X$ ; confidence 0.997

78. h04797076.png ; $\operatorname { mix }$ ; confidence 0.106

79. h047970132.png ; $( C , \mu C , \epsilon C )$ ; confidence 0.286

80. h04797071.png ; $\epsilon = \iota ^ { * }$ ; confidence 0.263

81. a110380105.png ; $x _ { 1 } , \ldots , x _ { x }$ ; confidence 0.348

82. i0523501.png ; $a x ^ { 2 } + 2 b x y + c y ^ { 2 }$ ; confidence 0.999

83. a011490129.png ; $X _ { 1 } , \ldots , X _ { m }$ ; confidence 0.132

84. a01301024.png ; $t _ { 1 } , \ldots , t _ { m }$ ; confidence 0.678

85. j05427085.png ; $[ \mathfrak { g } - 1 , p ]$ ; confidence 0.935

86. l05848036.png ; $( G ) \rightarrow L ( G )$ ; confidence 0.985

87. l058590136.png ; $T ( n ) \subset G L ( n , C )$ ; confidence 0.936

88. l05859047.png ; $( d L _ { g } ) X ( h ) = X ( g h )$ ; confidence 0.485

89. l05861086.png ; $g \in GL _ { \gamma } ( C )$ ; confidence 0.088

90. l05861083.png ; $C ^ { n } / \Gamma _ { 1 }$ ; confidence 0.708

91. l05868078.png ; $h ^ { \prime } \subset k$ ; confidence 0.244

92. l0586807.png ; $SL _ { \mathscr { K } } + 1$ ; confidence 0.276

93. l05869027.png ; $\rho ( G ) \subset B ( F )$ ; confidence 0.999

94. l05872053.png ; $\phi : L \rightarrow K$ ; confidence 1.000

95. l058720119.png ; $S _ { n } = n ( p ^ { n + 1 } - 1 )$ ; confidence 0.942

96. l05872073.png ; $\Lambda _ { p } ( x , y ) = 0$ ; confidence 0.996

97. l05876045.png ; $X _ { 1 } , \ldots , X _ { r }$ ; confidence 0.586

98. b13009029.png ; $\Omega \subset R ^ { x }$ ; confidence 0.706

99. g043800150.png ; $h _ { 1 } , \ldots , h _ { n }$ ; confidence 0.602

100. m06451078.png ; $\overline { M } _ { g , X }$ ; confidence 0.207

101. m06451038.png ; $\psi = \chi \circ \phi$ ; confidence 0.966

102. m06451071.png ; $\overline { M } _ { g , N }$ ; confidence 0.314

103. m06451055.png ; $R ^ { 1 } f \times ( Z / n Z )$ ; confidence 0.579

104. m06557014.png ; $L _ { \cap } \Gamma = 0$ ; confidence 0.870

105. q07631082.png ; $\alpha _ { i } \in h ^ { * }$ ; confidence 0.587

106. q076310146.png ; $\gamma \subset R ^ { 3 }$ ; confidence 0.999

107. r07764051.png ; $x ^ { 3 } + x y ^ { 3 } + z ^ { 2 }$ ; confidence 0.999

108. r0776409.png ; $C ^ { \prime \prime } / G$ ; confidence 0.246

109. r08090015.png ; $\alpha \in \phi ( T , G )$ ; confidence 0.999

110. s085590157.png ; $V ^ { \prime } ( \alpha )$ ; confidence 0.707

111. c021620170.png ; $w _ { 1 } , \ldots , w _ { n }$ ; confidence 0.083

112. s085590392.png ; $\sum _ { X } \delta _ { X }$ ; confidence 0.524

113. s085590259.png ; $\hat { D } \backslash K$ ; confidence 0.569

114. c02503036.png ; $x _ { 0 } , \ldots , x _ { x }$ ; confidence 0.299

115. s085590466.png ; $f ( x , y ) = x ^ { 3 } + y ^ { 4 }$ ; confidence 1.000

116. a01225031.png ; $z = ( z 1 , \dots , z _ { r } )$ ; confidence 0.277

117. r08204062.png ; $b \in \overline { C }$ ; confidence 0.690

118. s13053063.png ; $q = p , p ^ { 2 } , p ^ { 3 } , . .$ ; confidence 0.448

119. t13013019.png ; $\Gamma ^ { \diamond p }$ ; confidence 0.269

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

121. t09420028.png ; $\mathfrak { g } [ ( 2 , R )$ ; confidence 0.196

122. a130050293.png ; $n \rightarrow \infty$ ; confidence 0.989

123. b01569020.png ; $X _ { 1 } + \ldots + X _ { x }$ ; confidence 0.933

124. w120090252.png ; $h ^ { * } = Hom _ { C } ( h , C )$ ; confidence 0.220

125. w098100184.png ; $p ^ { 0 } , p ^ { 1 } , p ^ { 2 } ,$ ; confidence 0.934

126. a01145042.png ; $Cl ( X ) / Cl ^ { 0 } ( X ) = Z$ ; confidence 0.417

127. a01022027.png ; $u _ { 1 } , \dots , u _ { p }$ ; confidence 0.550

128. a01152026.png ; $G ( x ) = \{ g x : g \in G \}$ ; confidence 0.673

129. a0115308.png ; $b _ { 1 } , \dots , b _ { n }$ ; confidence 0.298

130. a01164062.png ; $H ^ { 1 } ( V , O _ { V } ( D ) )$ ; confidence 0.999

131. a01164038.png ; $p _ { g } ( V ) - p _ { x } ( V )$ ; confidence 0.269

132. a014170126.png ; $( X \times V ) / \Gamma$ ; confidence 0.968

133. a01417066.png ; $x _ { 0 } \in \partial X$ ; confidence 0.941

134. c0205702.png ; $e _ { i } , f _ { i } , h _ { i }$ ; confidence 0.735

135. c02057044.png ; $S _ { 1 } , \dots , S _ { N }$ ; confidence 0.233

136. d0307003.png ; $\pi : X \rightarrow S$ ; confidence 0.795

137. d03070059.png ; $H ^ { 2 } ( X , \Theta ) = 0$ ; confidence 0.998

138. d03070022.png ; $\pi : X \rightarrow S$ ; confidence 0.101

139. d031830296.png ; $\sum i A u _ { A } ^ { i - 1 }$ ; confidence 0.484

140. d031830109.png ; $\dot { w } _ { k j } \geq 0$ ; confidence 0.199

141. d034120161.png ; $H _ { \Phi } ^ { p } ( X , F )$ ; confidence 0.947

142. d034120192.png ; $H ^ { p } ( X , O _ { X } ( D ) )$ ; confidence 0.993

143. d034120564.png ; $f _ { i } ( x ) \leq y _ { i }$ ; confidence 0.993

144. b12053030.png ; $f _ { n } \rightarrow f$ ; confidence 0.940

145. d030020120.png ; $\pi : X \rightarrow Y$ ; confidence 0.983

146. f040820191.png ; $1,2 , \ldots , \infty$ ; confidence 0.550

147. f040820145.png ; $G _ { m } ( X , Y ) = X + Y + X Y$ ; confidence 0.797

148. f040820173.png ; $F ( \overline { m } )$ ; confidence 0.760

149. g13002012.png ; $( d / d z ) e ^ { z } = e ^ { z }$ ; confidence 0.981

150. h047410135.png ; $( \dot { x } , \dot { y } )$ ; confidence 0.984

151. h047410137.png ; $F ( x , y , \xi , \eta ) > 0$ ; confidence 0.999

152. a01414091.png ; $A _ { 1 } , \dots , A _ { m }$ ; confidence 0.468

153. h04770029.png ; $G ( k ) _ { x } = G _ { X } ( k )$ ; confidence 0.602

154. h04770032.png ; $M ( k ) \neq \emptyset$ ; confidence 0.957

155. h04797053.png ; $\{ e \} \rightarrow G$ ; confidence 0.980

156. i052350102.png ; $\pi : X \rightarrow W$ ; confidence 0.997

157. l05851054.png ; $\alpha + \beta \neq 0$ ; confidence 1.000

158. l058510181.png ; $0 \leq p \leq ( n + 1 ) / 2$ ; confidence 0.997

159. l05848033.png ; $D \in \text { Lie } ( G )$ ; confidence 0.695

160. l058590143.png ; $( b , e ) \rightarrow b$ ; confidence 0.673

161. l058720138.png ; $W _ { n } , S _ { n } , \dots$ ; confidence 0.347

162. l05872024.png ; $x \rightarrow x ^ { p }$ ; confidence 0.580

163. l05872025.png ; $( x ^ { p } ) = ( a d x ) ^ { p }$ ; confidence 0.801

164. l0587606.png ; $\{ e \} \times \Omega$ ; confidence 0.933

165. p07267013.png ; $S _ { f } ^ { \prime } p q c$ ; confidence 0.760

166. p0746405.png ; $\pi : P \rightarrow B$ ; confidence 0.962

167. h04655016.png ; $\{ U _ { i } \} _ { i \in I }$ ; confidence 0.994

168. r077630106.png ; $\phi _ { i } ^ { Fr ^ { i } }$ ; confidence 0.906

169. r07764048.png ; $x ^ { 3 } + y ^ { 4 } + z ^ { 2 }$ ; confidence 1.000

170. r0776403.png ; $\pi : Y \rightarrow X$ ; confidence 0.996

171. r07764054.png ; $x ^ { 3 } + y ^ { 5 } + z ^ { 2 }$ ; confidence 1.000

172. r08103034.png ; $\Phi _ { k } ( S _ { l } , G )$ ; confidence 0.605

173. r08137020.png ; $\{ \rho ^ { \alpha } \}$ ; confidence 0.945

174. s085590491.png ; $( x _ { 0 } , y _ { 0 } ) \in G$ ; confidence 0.910

175. s085590410.png ; $\pi : X \rightarrow X$ ; confidence 0.941

176. s085590490.png ; $X ( x , y ) d y = Y ( x , y ) d x$ ; confidence 0.999

177. s08559027.png ; $\phi _ { 1 } ( 0 ) = \zeta$ ; confidence 0.997

178. s08559031.png ; $\phi _ { 2 } ( 0 ) = \zeta$ ; confidence 0.994

179. s085590493.png ; $X , Y : G \rightarrow R$ ; confidence 0.995

180. s085590544.png ; $\| x \| \rightarrow 0$ ; confidence 0.573

181. s08559026.png ; $0 < \tau _ { 1 } \leq 1$ ; confidence 0.993

182. s08708042.png ; $I ( T , \aleph _ { 1 } ) = 1$ ; confidence 0.989

183. s13054024.png ; $\pi : H \rightarrow G$ ; confidence 0.999

184. t0933506.png ; $\epsilon = \alpha / l$ ; confidence 0.681

185. u09524060.png ; $\{ \alpha t + \beta \}$ ; confidence 0.995

186. a01382015.png ; $X _ { 1 } , X _ { 2 } , \dots$ ; confidence 0.434

187. w120090339.png ; $e _ { \alpha } ^ { i } / i !$ ; confidence 0.769

188. w098100176.png ; $x V _ { x } = 1 + \ldots + 1$ ; confidence 0.202

189. a01145075.png ; $K _ { X } = X ( X + K _ { F } )$ ; confidence 0.598

190. a01150029.png ; $\Omega ^ { \tau } [ X ]$ ; confidence 0.979

191. a01164048.png ; $= \chi ( V , O _ { V } ) - 1$ ; confidence 0.976

192. a014170137.png ; $u \in \mathfrak { Q }$ ; confidence 0.079

193. a012200105.png ; $C ^ { \prime \prime }$ ; confidence 0.135

194. c02055013.png ; $x \in \mathfrak { Q }$ ; confidence 0.246

195. c02055064.png ; $h \in \mathfrak { q }$ ; confidence 0.234

196. d03070096.png ; $( . S ) \rightarrow D$ ; confidence 0.848

197. d03249035.png ; $F ( \eta ) = F ( \zeta )$ ; confidence 0.956

198. d03249033.png ; $F ( \eta ) = F ( \zeta )$ ; confidence 0.999

199. d034120310.png ; $g \in \overline { g }$ ; confidence 0.309

200. d034120381.png ; $f ^ { * } ( z ) \in B ^ { 1 }$ ; confidence 0.999

201. d034120225.png ; $Y \subset X = C P ^ { 1 }$ ; confidence 0.810

202. d034120291.png ; $\forall G \in O ^ { F }$ ; confidence 0.997

203. d034120119.png ; $H ^ { n - r } ( M ^ { n } , X )$ ; confidence 0.810

204. e036960119.png ; $G \subset \sigma G K$ ; confidence 0.686

205. e036960118.png ; $\sigma G \subset G K$ ; confidence 0.789

206. h04769053.png ; $g H \rightarrow g x 0$ ; confidence 0.414

207. h047970121.png ; $( A , \mu , \epsilon )$ ; confidence 0.999

208. j05427058.png ; $\{ q \times q \} \in Q$ ; confidence 0.530

209. j05427078.png ; $x \in \mathfrak { a }$ ; confidence 0.231

210. c021040114.png ; $\alpha , \beta \in F$ ; confidence 0.992

211. k1100709.png ; $\pi : G \rightarrow$ ; confidence 0.989

212. k12003033.png ; $E \neq \emptyset$ ; confidence 0.475

213. l058510138.png ; $X \in \mathfrak { h }$ ; confidence 0.384

214. b12040057.png ; $\mathfrak { g } _ { Q }$ ; confidence 0.115

215. l05868060.png ; $Z _ { 2 } \oplus Z _ { 2 }$ ; confidence 0.656

216. l05869039.png ; $R ^ { n } \times T ^ { m }$ ; confidence 0.811

217. l05872014.png ; $\Lambda _ { p } ( x , y )$ ; confidence 0.997

218. l05872099.png ; $L = L _ { k } / Z ( L _ { k } )$ ; confidence 0.998

219. m063010118.png ; $X ( T ) \otimes _ { Z } R$ ; confidence 0.820

220. m06301044.png ; $G = GL _ { \times } ( k )$ ; confidence 0.103

221. m063010103.png ; $i = q + 1 , \ldots , n - q$ ; confidence 0.497

222. m063010128.png ; $X ( S ) \otimes _ { Z } R$ ; confidence 0.228

223. m06451047.png ; $\overline { M } _ { g }$ ; confidence 0.864

224. n06690083.png ; $d f . f ^ { - 1 } = \alpha$ ; confidence 0.609

225. o07001069.png ; $G \rightarrow G ( x )$ ; confidence 0.991

226. o070010111.png ; $x , y \in X _ { \alpha }$ ; confidence 0.496

227. o07001082.png ; $Y \mapsto A Y A ^ { - 1 }$ ; confidence 0.996

228. o07001031.png ; $\pi _ { X , G } ^ { 1 } ( U )$ ; confidence 0.355

229. p07267047.png ; $H ^ { 2 } ( F , O _ { F } ) = 0$ ; confidence 0.997

230. r07763060.png ; $\chi \in X ( T ) = X ( B )$ ; confidence 0.953

231. r07763076.png ; $k [ G ] - w _ { 0 } ( \chi )$ ; confidence 0.971

232. r07763047.png ; $V ( \delta _ { \phi } )$ ; confidence 0.999

233. r08103090.png ; $\alpha \in \Delta k$ ; confidence 0.839

234. s085590279.png ; $z \in D \backslash P$ ; confidence 0.996

235. s085590406.png ; $m _ { 2 } / n _ { 1 } n _ { 2 }$ ; confidence 0.468

236. s085590526.png ; $\alpha , b , c , e \in R$ ; confidence 0.714

237. c023720113.png ; $x \in \overline { C }$ ; confidence 0.299

238. s085590282.png ; $f ( z ) = z _ { 1 } / z _ { 2 }$ ; confidence 0.995

239. s08559017.png ; $z \in \overline { C }$ ; confidence 0.606

240. c021610124.png ; $( x _ { 0 } , y 0 , z _ { 0 } )$ ; confidence 0.736

241. g04434040.png ; $N ^ { \prime \prime }$ ; confidence 0.241

242. b01511048.png ; $\Gamma = \partial D$ ; confidence 0.996

243. s085590520.png ; $X _ { i } \in C ^ { 1 } ( G )$ ; confidence 0.900

244. s085590269.png ; $\psi _ { \alpha } ( z )$ ; confidence 0.556

245. s08610044.png ; $M ^ { * } \times R ^ { n }$ ; confidence 0.965

246. s13054097.png ; $\{ a , b \} _ { \infty }$ ; confidence 0.753

247. s13054088.png ; $SL _ { \eta } ( Q _ { p } )$ ; confidence 0.164

248. s13054049.png ; $\alpha , b \in F ^ { * }$ ; confidence 0.802

249. u09524021.png ; $u _ { 2 } ( x ) = 1 - | 1 - x |$ ; confidence 0.753

250. w12009054.png ; $\Lambda ^ { + } ( n , r )$ ; confidence 0.990

251. a011450244.png ; $f : V \rightarrow B$ ; confidence 0.999

252. a011450197.png ; $X \simeq C / \Omega$ ; confidence 0.652

253. a01150017.png ; $\lambda ( \theta )$ ; confidence 1.000

254. a01174036.png ; $x ^ { \prime } = a x + b$ ; confidence 0.968

255. a014170113.png ; $f : X \rightarrow V$ ; confidence 0.997

256. a014170143.png ; $f : G \rightarrow V$ ; confidence 0.998

257. c02055058.png ; $t \otimes _ { k } K$ ; confidence 0.618

258. c02055037.png ; $\mathfrak { d } ( V )$ ; confidence 0.184

259. b13020044.png ; $\alpha _ { \xi j } = 0$ ; confidence 0.237

260. c0205705.png ; $[ h _ { i } , h _ { j } ] = 0$ ; confidence 0.982

261. c02333012.png ; $\{ X _ { i } : i \in I \}$ ; confidence 0.949

262. d03070049.png ; $H ^ { 1 } ( X , \Theta )$ ; confidence 0.811

263. d030700264.png ; $\phi _ { i } \in A ( V )$ ; confidence 0.995

264. d030700187.png ; $\hat { M } _ { X _ { 0 } }$ ; confidence 0.726

265. d030700120.png ; $X \cong M \times M S$ ; confidence 0.363

266. d03070040.png ; $d f _ { 0 } ^ { \prime }$ ; confidence 0.853

267. d03155046.png ; $G _ { a k } \cap G _ { Q }$ ; confidence 0.091

268. a01382017.png ; $\theta \in \Theta$ ; confidence 0.996

269. d03183049.png ; $\alpha _ { m } ( p ) = 0$ ; confidence 0.433

270. d03183050.png ; $a _ { m - 1 } ( p ) \leq h$ ; confidence 0.510

271. d031830384.png ; $0 \neq \alpha \in R$ ; confidence 0.515

272. b1202103.png ; $U ( \mathfrak { g } )$ ; confidence 0.997

273. d12024034.png ; $\mathfrak { g } ( f )$ ; confidence 0.484

274. d034120438.png ; $( G , \sigma ( G , F ) )$ ; confidence 1.000

275. d034120342.png ; $O \subset A _ { R }$ ; confidence 0.132

276. d03412069.png ; $H ^ { \prime } ( X , A )$ ; confidence 0.454

277. d034120334.png ; $0 < R , P \leq \infty$ ; confidence 0.999

278. d034120339.png ; $\Lambda _ { \zeta }$ ; confidence 0.396

279. d034120345.png ; $L _ { z } F ( z , \zeta )$ ; confidence 0.928

280. e03696071.png ; $( y _ { j } ) _ { j \in J }$ ; confidence 0.922

281. e03696061.png ; $\delta \in \Delta$ ; confidence 0.996

282. e036960150.png ; $y ^ { \dot { d } } - b = 0$ ; confidence 0.484

283. f040820147.png ; $W ( A ) = C ( G _ { W } ; A )$ ; confidence 0.909

284. f04082094.png ; $\alpha _ { i } ( 0 ) = 0$ ; confidence 1.000

285. h047970117.png ; $e : K \rightarrow A$ ; confidence 0.837

286. h047970133.png ; $( A , m _ { A } , e _ { A } )$ ; confidence 0.808

287. i05306040.png ; $K \times A \times N$ ; confidence 0.988

288. j05427037.png ; $H ( F _ { 2 } n , J _ { S } )$ ; confidence 0.523

289. k0551702.png ; $\{ z \in C : | z | < 1 \}$ ; confidence 0.975

290. l0585005.png ; $3 ( \mathfrak { g } )$ ; confidence 0.544

291. l058510198.png ; $0 \leq p \leq n / 2$ ; confidence 0.998

292. l05851043.png ; $\alpha \in \Sigma$ ; confidence 0.898

293. l05859057.png ; $X \circ Y - Y \circ X$ ; confidence 0.771

294. l058590134.png ; $S \cap R ( G ) = ( e )$ ; confidence 0.872

295. l058590176.png ; $L ( B ) \otimes _ { R }$ ; confidence 0.668

296. l05859090.png ; $G _ { 1 } \cong G _ { 2 }$ ; confidence 1.000

297. i052260112.png ; $G \rightarrow G / H$ ; confidence 0.964

298. l05868098.png ; $L ( \mathfrak { g } )$ ; confidence 0.971

299. l05868028.png ; $2 \pi i H _ { \alpha }$ ; confidence 0.838

300. l058720151.png ; $C _ { 2 } ( \epsilon )$ ; confidence 0.953

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/Algebraic Groups/5. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/Algebraic_Groups/5&oldid=44145