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(AUTOMATIC EDIT of page 4 out of 12 with 300 lines: Updated image/latex database (currently 3466 images latexified; order by Confidence, ascending: False.)
 
(AUTOMATIC EDIT of page 4 out of 12 with 300 lines: Updated image/latex database (currently 3466 images latexified; order by Length, ascending: False.)
 
(One intermediate revision by the same user not shown)
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== List ==
 
== List ==
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1. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011160/a01116032.png ; $X ( k )$ ; confidence 0.976
+
1. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077630/r077630105.png ; $\phi _ { 0 } , \ldots , \phi _ { d }$ ; confidence 0.604
  
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2. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g13002033.png ; $f _ { i } ( w ) \in K$ ; confidence 0.976
+
2. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077630/r07763056.png ; $\phi \mapsto \delta _ { \phi }$ ; confidence 0.991
  
−
3. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820100.png ; $Z \rightarrow A$ ; confidence 0.976
+
3. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077670/r07767030.png ; $\operatorname { Spin } ( n , f )$ ; confidence 0.730
  
−
4. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120415.png ; $x ^ { \prime } \in G$ ; confidence 0.976
+
4. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110070/e11007079.png ; $\operatorname { tar } K \neq 2$ ; confidence 0.417
  
−
5. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058760/l05876065.png ; $\phi ( b )$ ; confidence 0.975
+
5. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081030/r081030106.png ; $\Delta _ { 0 } \cup O _ { \gamma }$ ; confidence 0.951
  
−
6. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054091.png ; $K _ { 2 } R$ ; confidence 0.975
+
6. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083020/s08302022.png ; $\lambda _ { 1 } \lambda _ { 2 } < 0$ ; confidence 0.984
  
−
7. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310115.png ; $G$ ; confidence 0.975
+
7. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590120.png ; $\{ c _ { k } \} _ { k = 0 } ^ { \infty }$ ; confidence 0.968
  
−
8. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150013.png ; $\theta$ ; confidence 0.975
+
8. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590559.png ; $\lambda _ { 1 } \lambda _ { 2 } > 0$ ; confidence 0.984
  
−
9. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081030/r08103038.png ; $W _ { k } ( G )$ ; confidence 0.975
+
9. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087060/s08706026.png ; $Z ( R ) ( t _ { 1 } , \ldots , t _ { n } )$ ; confidence 0.615
  
−
10. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055170/k0551702.png ; $\{ z \in C : | z | < 1 \}$ ; confidence 0.975
+
10. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087080/s08708075.png ; $a \in \operatorname { cl } ( B )$ ; confidence 0.244
  
−
11. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082051.png ; $F _ { i } ( X , 0 ) = X _ { i } , \quad F _ { i } ( 0 , Y ) = Y _ { i }$ ; confidence 0.975
+
11. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087080/s08708055.png ; $I ( T , \lambda ) = 2 ^ { \lambda }$ ; confidence 0.982
  
−
12. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450236.png ; $g \geq 2$ ; confidence 0.975
+
12. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054081.png ; $b = p ^ { \alpha } r , p ^ { \beta } s$ ; confidence 0.785
  
−
13. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025720/c0257207.png ; $x _ { 0 } \in M$ ; confidence 0.975
+
13. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054032.png ; $x ( \alpha ) = x _ { 12 } ( \alpha )$ ; confidence 0.871
  
−
14. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047410/h047410120.png ; $H ^ { 1 } ( G , K ^ { * } )$ ; confidence 0.975
+
14. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t130130117.png ; $K ^ { \hat { b } } ( P _ { \Lambda } )$ ; confidence 0.410
  
−
15. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110850/b11085083.png ; $K = C$ ; confidence 0.975
+
15. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094200/t09420035.png ; $: G \rightarrow \text { Aut } g$ ; confidence 0.304
  
−
16. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h047970116.png ; $m : A \otimes A \rightarrow A$ ; confidence 0.975
+
16. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095400/u09540035.png ; $m _ { 1 } \geq \ldots \geq m _ { s }$ ; confidence 0.307
  
−
17. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090223.png ; $V ^ { * } = \operatorname { Hom } _ { K } ( V , K )$ ; confidence 0.975
+
17. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097710/w0977105.png ; $W ( T , G ) = N _ { G } ( T ) / Z _ { G } ( T )$ ; confidence 0.997
  
−
18. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087060/s08706025.png ; $K _ { 1 } ( R )$ ; confidence 0.975
+
18. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145049.png ; $H ^ { 0 } ( X , \Omega _ { X } ^ { 1 } )$ ; confidence 0.957
  
−
19. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130100/t13010030.png ; $( X , Y )$ ; confidence 0.975
+
19. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450164.png ; $\operatorname { PGL } ( 1 , k )$ ; confidence 0.536
  
−
20. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087080/s08708029.png ; $t ( b ; A )$ ; confidence 0.974
+
20. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011740/a01174022.png ; $\operatorname { PLG } ( N , k )$ ; confidence 0.882
  
−
21. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t1301305.png ; $0 \rightarrow \Lambda \rightarrow T _ { 0 } \rightarrow T _ { 1 } \rightarrow 0$ ; confidence 0.974
+
21. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012290/a0122904.png ; $( x , y ) \rightarrow x y ^ { - 1 }$ ; confidence 0.988
  
−
22. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450136.png ; $\phi _ { K } : X \rightarrow P ^ { g - 1 }$ ; confidence 0.974
+
22. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012540/a0125409.png ; $D = \operatorname { rank } G -$ ; confidence 0.848
  
−
23. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590422.png ; $( A _ { i } ^ { 2 } )$ ; confidence 0.974
+
23. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a014170145.png ; $f ( k g \gamma ) = \rho ( k ) f ( g )$ ; confidence 0.990
  
−
24. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033850/d0338501.png ; $x ^ { j }$ ; confidence 0.973
+
24. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020570/c02057065.png ; $H ^ { p + 1 } ( X , S ) \rightarrow$ ; confidence 0.989
  
−
25. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690063.png ; $H ^ { 1 } ( G , A ) = H ^ { 1 } ( C ^ { * } ( G , A ) )$ ; confidence 0.973
+
25. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700233.png ; $K = \operatorname { Lie } ( V )$ ; confidence 0.654
  
−
26. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054270/j0542701.png ; $x y = y x , \quad ( x ^ { 2 } y ) x = x ^ { 2 } ( y x )$ ; confidence 0.973
+
26. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700246.png ; $H ^ { 2 } ( \mathfrak { A } , V ) = 0$ ; confidence 0.903
  
−
27. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064510/m06451017.png ; $f ^ { * } : M ( S ) \rightarrow M ( T )$ ; confidence 0.973
+
27. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700191.png ; $\kappa \rightarrow M X _ { 0 }$ ; confidence 0.615
  
−
28. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110070/k11007030.png ; $H ^ { i } ( G / B , L _ { \chi } ) = ( 0 )$ ; confidence 0.973
+
28. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700244.png ; $H ^ { 3 } ( \mathfrak { A } , V ) = 0$ ; confidence 0.867
  
−
29. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082019.png ; $H ( B )$ ; confidence 0.973
+
29. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700180.png ; $k [ [ t _ { 1 } , \ldots , t _ { m } ] ]$ ; confidence 0.468
  
−
30. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150021.png ; $\omega = 2 \int _ { 0 } ^ { 1 / c } \frac { d x } { \sqrt { ( 1 - c ^ { 2 } x ^ { 2 } ) ( 1 - e ^ { 2 } x ^ { 2 } ) } }$ ; confidence 0.973
+
30. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d03183062.png ; $F \{ Y _ { 1 } , \ldots , Y _ { n } \}$ ; confidence 0.646
  
−
31. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095410/u09541032.png ; $\operatorname { exp } : \mathfrak { u } \rightarrow U$ ; confidence 0.973
+
31. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830335.png ; $R \{ y _ { 1 } , \ldots , y _ { n } \}$ ; confidence 0.522
  
−
32. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l058510174.png ; $t + 1 = 2 m$ ; confidence 0.973
+
32. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830388.png ; $k \{ y _ { 1 } , \ldots , y _ { n } \}$ ; confidence 0.483
  
−
33. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120542.png ; $f ( x ) \rightarrow \text { inf, } \quad x \in X$ ; confidence 0.973
+
33. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d03183038.png ; $a _ { m - 1 } ( p ) \leq \sum e _ { j }$ ; confidence 0.266
  
−
34. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015210/b01521045.png ; $a b$ ; confidence 0.972
+
34. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032490/d03249019.png ; $F \{ Y _ { 1 } , \ldots , Y _ { n } \}$ ; confidence 0.507
  
−
35. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120423.png ; $A \subset F$ ; confidence 0.972
+
35. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120240/d12024088.png ; $U ( \operatorname { si } ( n ) )$ ; confidence 0.660
  
−
36. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054270/j05427048.png ; $J = J / N$ ; confidence 0.972
+
36. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120349.png ; $\Lambda _ { \zeta , r } \phi = 0$ ; confidence 0.362
  
−
37. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047410/h04741013.png ; $t ^ { 0 }$ ; confidence 0.972
+
37. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120269.png ; $f _ { n } ( z ) \rightarrow f ( z )$ ; confidence 0.997
  
−
38. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d03412098.png ; $H _ { r } ( R , X ) | H ^ { r } ( R , X ^ { * } ) , \quad \text { for } X | X ^ { * }$ ; confidence 0.972
+
38. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820136.png ; $[ a ] \gamma ( T ) = \gamma ( a T )$ ; confidence 0.599
  
−
39. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020570/c02057062.png ; $0 \rightarrow S \rightarrow F \rightarrow G \rightarrow 0$ ; confidence 0.972
+
39. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820110.png ; $f _ { i } ( X ) = X _ { i } + \ldots$ ; confidence 0.733
  
−
40. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559030.png ; $0 < \tau _ { 2 } \leq 1$ ; confidence 0.972
+
40. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082031.png ; $k [ [ X _ { 1 } , \ldots , X _ { 2 } ] ]$ ; confidence 0.591
  
−
41. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011840/a01184056.png ; $G$ ; confidence 0.972
+
41. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047410/h04741018.png ; $K = k ( t _ { 1 } , \ldots , t _ { n } )$ ; confidence 0.269
  
−
42. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086100/s08610054.png ; $\{ e \} \rightarrow \Delta \rightarrow \pi \rightarrow Z ^ { s } \rightarrow \{ e \}$ ; confidence 0.972
+
42. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797061.png ; $\iota : \{ e \} \rightarrow G$ ; confidence 0.791
  
−
43. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058770/l05877094.png ; $T ^ { 2 } = \{ ( z _ { 1 } , z _ { 2 } ) : z _ { i } \in C , | z _ { i } | = 1 , i = 1,2 \}$ ; confidence 0.972
+
43. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h047970116.png ; $m : A \otimes A \rightarrow A$ ; confidence 0.975
  
−
44. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164066.png ; $i > 0$ ; confidence 0.972
+
44. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052350/i05235066.png ; $A = k [ x _ { 1 } , \ldots , x _ { n } ]$ ; confidence 0.346
  
−
45. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d03070058.png ; $X$ ; confidence 0.972
+
45. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054270/j05427090.png ; $\alpha . b = [ [ p , \alpha ] , b ]$ ; confidence 0.174
  
−
46. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014047.png ; $\chi _ { Q } : K _ { 0 } ( Q ) \rightarrow Z$ ; confidence 0.972
+
46. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110070/k11007030.png ; $H ^ { i } ( G / B , L _ { \chi } ) = ( 0 )$ ; confidence 0.973
  
−
47. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058760/l05876035.png ; $\psi _ { k i } ( x )$ ; confidence 0.971
+
47. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l058510210.png ; $\operatorname { so } ( 2 n , C )$ ; confidence 0.570
  
−
48. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l058590169.png ; $( f _ { 2 n } )$ ; confidence 0.971
+
48. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058480/l05848016.png ; $D [ p ] = D \circ \ldots \circ D$ ; confidence 0.534
  
−
49. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077630/r07763076.png ; $k [ G ] - w _ { 0 } ( \chi )$ ; confidence 0.971
+
49. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l05859028.png ; $f : G _ { 1 } \rightarrow G _ { 2 }$ ; confidence 0.997
  
−
50. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058680/l05868098.png ; $L ( \mathfrak { g } )$ ; confidence 0.971
+
50. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l058590188.png ; $f : U _ { 1 } \rightarrow U _ { 2 }$ ; confidence 0.997
  
−
51. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120133.png ; $H ^ { r } ( A , X ^ { * } )$ ; confidence 0.971
+
51. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058610/l05861078.png ; $C ^ { \prime \prime } / \Gamma$ ; confidence 0.227
  
−
52. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120395.png ; $F \times G$ ; confidence 0.971
+
52. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l058720125.png ; $K _ { x } = p ^ { 2 x - 1 } - \epsilon$ ; confidence 0.676
  
−
53. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s130540127.png ; $K _ { 2 } R$ ; confidence 0.970
+
53. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058760/l05876011.png ; $g = ( g 1 , \ldots , g _ { v } ) \in G$ ; confidence 0.322
  
−
54. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590505.png ; $X _ { i } ( x _ { 0 } ) = 0$ ; confidence 0.970
+
54. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064510/m064510123.png ; $\overline { M } \backslash M$ ; confidence 0.985
  
−
55. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022660/c02266085.png ; $E \subset G$ ; confidence 0.970
+
55. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n066900122.png ; $( m , \phi ) \rightarrow \phi$ ; confidence 0.988
  
−
56. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h047690115.png ; $SO ( n + 1 )$ ; confidence 0.970
+
56. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690020.png ; $H ^ { 1 } ( C ^ { * } ) = Z ^ { 1 } / \rho$ ; confidence 0.997
  
−
57. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042060.png ; $K _ { 1 }$ ; confidence 0.970
+
57. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q076310139.png ; $R T _ { 1 } T _ { 2 } = T _ { 2 } T _ { 1 } R$ ; confidence 0.994
  
−
58. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097710/w0977109.png ; $N _ { G } ( T )$ ; confidence 0.970
+
58. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q07631012.png ; $S : A \rightarrow A \otimes A$ ; confidence 0.881
  
−
59. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040370/f04037025.png ; $R ^ { k } \pi * F$ ; confidence 0.970
+
59. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590353.png ; $f ( x _ { 0 } , \ldots , x _ { x } ) = 0$ ; confidence 0.481
  
−
60. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031640/d03164018.png ; $F \omega = \omega ^ { ( p ) } F , \quad \omega V = V \omega ^ { ( p ) } , \quad F V = V F = p$ ; confidence 0.970
+
60. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590275.png ; $\phi _ { \alpha } ( \alpha ) = 0$ ; confidence 0.777
  
−
61. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025930/c02593096.png ; $k _ { i } = \Lambda ( h _ { i } )$ ; confidence 0.970
+
61. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012460/a012460117.png ; $\lambda _ { 1 } , \lambda _ { 2 }$ ; confidence 0.995
  
−
62. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058760/l05876039.png ; $\psi _ { k i } ( g )$ ; confidence 0.970
+
62. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590224.png ; $f _ { \zeta } = f _ { \zeta } ( z ) =$ ; confidence 0.988
  
−
63. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006020.png ; $8$ ; confidence 0.970
+
63. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590229.png ; $L : [ 0,1 ] \rightarrow C ^ { n }$ ; confidence 0.960
  
−
64. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087080/s08708013.png ; $| S ( A ) | = \lambda$ ; confidence 0.969
+
64. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130530/s13053068.png ; $St = \sum _ { P } \pm 1 _ { F } ^ { G }$ ; confidence 0.250
  
−
65. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590616.png ; $\| \partial y ^ { i } / \partial x ^ { j } \|$ ; confidence 0.969
+
65. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s130540121.png ; $\langle \alpha , b \rangle =$ ; confidence 0.606
  
−
66. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081370/r08137018.png ; $\rho ^ { \alpha }$ ; confidence 0.969
+
66. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t1301404.png ; $q : Z ^ { Q _ { 0 } } \rightarrow Z$ ; confidence 0.321
  
−
67. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240478.png ; $0$ ; confidence 0.969
+
67. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095400/u09540037.png ; $\mu = ( l _ { 1 } , \dots , l _ { t } )$ ; confidence 0.599
  
−
68. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094200/t0942004.png ; $X \in \text { End } V$ ; confidence 0.969
+
68. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090131.png ; $\Delta ( \lambda ) ^ { \mu }$ ; confidence 1.000
  
−
69. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690072.png ; $X \rightarrow G$ ; confidence 0.969
+
69. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090163.png ; $\Delta ( \lambda ) ^ { \perp }$ ; confidence 1.000
  
−
70. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a014170126.png ; $( X \times V ) / \Gamma$ ; confidence 0.968
+
70. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145063.png ; $g = \frac { ( m - 1 ) ( m - 2 ) } { 2 }$ ; confidence 0.997
  
−
71. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032490/d03249029.png ; $\omega _ { \eta / F } ( x ) = \sum _ { 0 \leq i \leq m } \alpha _ { i } \left( \begin{array} { c } { x + i } \\ { i } \end{array} \right)$ ; confidence 0.968
+
71. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011520/a01152028.png ; $G _ { X } = \{ g \in G : g x = x \}$ ; confidence 0.901
  
−
72. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590120.png ; $\{ c _ { k } \} _ { k = 0 } ^ { \infty }$ ; confidence 0.968
+
72. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640168.png ; $c _ { 1 } ^ { 2 } \leq 3 _ { c _ { 2 } }$ ; confidence 0.436
  
−
73. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010600/a0106001.png ; $A$ ; confidence 0.968
+
73. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164014.png ; $| K _ { i } | = | i K _ { V ^ { J } } |$ ; confidence 0.620
  
−
74. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e03696060.png ; $J \times \Theta$ ; confidence 0.968
+
74. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164098.png ; $V \rightarrow V ^ { \prime }$ ; confidence 0.885
  
−
75. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240110.png ; $x$ ; confidence 0.968
+
75. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020570/c02057060.png ; $\overline { \partial } f = g$ ; confidence 0.991
  
−
76. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700151.png ; $T _ { X _ { 0 } }$ ; confidence 0.968
+
76. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020570/c02057061.png ; $\overline { \partial } g = 0$ ; confidence 0.994
  
−
77. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011740/a01174036.png ; $x ^ { \prime } = a x + b$ ; confidence 0.968
+
77. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700185.png ; $H ^ { 1 } ( X _ { 0 } , T _ { X _ { 0 } } )$ ; confidence 0.997
  
−
78. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097590/w09759046.png ; $\square ( E / Q )$ ; confidence 0.968
+
78. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700294.png ; $D ; A \times I \rightarrow X$ ; confidence 0.570
  
−
79. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047410/h047410110.png ; $\operatorname { Tr } _ { K / k } ( \beta )$ ; confidence 0.968
+
79. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700172.png ; $R ^ { \prime } \rightarrow R$ ; confidence 0.999
  
−
80. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054340/j05434037.png ; $\operatorname { rk } ( A - \lambda E ) ^ { 0 }$ ; confidence 0.967
+
80. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700271.png ; $\phi _ { i } : V \rightarrow V$ ; confidence 0.982
  
−
81. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095240/u09524032.png ; $u _ { n } ( x ) = 0$ ; confidence 0.967
+
81. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830274.png ; $\{ y _ { 1 } , \ldots , y _ { n } \}$ ; confidence 0.488
  
−
82. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081030/r08103061.png ; $X ( S )$ ; confidence 0.967
+
82. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027620/c02762019.png ; $\{ F _ { 1 } , \ldots , F _ { x } \}$ ; confidence 0.380
  
−
83. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051470/i05147047.png ; $F _ { 0 } = 0$ ; confidence 0.967
+
83. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d0318302.png ; $F _ { 1 } = 0 , \ldots , F _ { k } = 0$ ; confidence 0.675
  
−
84. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058480/l05848068.png ; $X ^ { [ p ] } = X ^ { p }$ ; confidence 0.967
+
84. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830158.png ; $t _ { 1 } , \ldots , t _ { x } \in U$ ; confidence 0.711
  
−
85. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001022.png ; $n \geq 1$ ; confidence 0.967
+
85. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d0318303.png ; $\{ F _ { 1 } , \ldots , F _ { k } \}$ ; confidence 0.592
  
−
86. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700239.png ; $k = R , C$ ; confidence 0.967
+
86. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830166.png ; $( t _ { 1 } , \ldots , t _ { x } , u )$ ; confidence 0.560
  
−
87. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110370/a11037018.png ; $X _ { 1 }$ ; confidence 0.967
+
87. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e03696069.png ; $F _ { 0 } ( ( y _ { j } ) _ { j \in J } )$ ; confidence 0.696
  
−
88. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120314.png ; $E = F$ ; confidence 0.967
+
88. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040550/f04055011.png ; $0 < n _ { 1 } < \ldots < n _ { k } < n$ ; confidence 0.591
  
−
89. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048430/h04843016.png ; $( ) = 0$ ; confidence 0.966
+
89. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040550/f04055012.png ; $\nu _ { 0 } = ( 1 , \ldots , n - 1 )$ ; confidence 0.626
  
−
90. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h047690124.png ; $\operatorname { pin } ( 9 )$ ; confidence 0.966
+
90. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082055.png ; $Y = ( Y _ { 1 } , \ldots , Y _ { n } )$ ; confidence 0.803
  
−
91. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064510/m06451038.png ; $\psi = \chi \circ \phi$ ; confidence 0.966
+
91. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082056.png ; $Z = ( Z _ { 1 } , \ldots , Z _ { n } )$ ; confidence 0.564
  
−
92. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120352.png ; $R = P = \infty$ ; confidence 0.966
+
92. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082073.png ; $Y = ( Y _ { 1 } , \ldots , Y _ { n } )$ ; confidence 0.746
  
−
93. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120441.png ; $A ^ { 00 }$ ; confidence 0.966
+
93. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082077.png ; $\phi _ { F } : L \rightarrow A$ ; confidence 0.998
  
−
94. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014081.png ; $98$ ; confidence 0.966
+
94. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082079.png ; $\phi _ { F } ^ { * } F _ { u } ( X , Y )$ ; confidence 0.861
  
−
95. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058480/l05848095.png ; $V$ ; confidence 0.966
+
95. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120260/a120260102.png ; $X = ( X _ { 1 } , \ldots , X _ { n } )$ ; confidence 0.523
  
−
96. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h04769096.png ; $H ^ { * } ( G / H ; R )$ ; confidence 0.966
+
96. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820103.png ; $A \rightarrow A \otimes z Q$ ; confidence 0.438
  
−
97. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040026.png ; $M = G / H$ ; confidence 0.966
+
97. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047410/h04741055.png ; $F ( c _ { 1 } , \dots , c _ { m } ) = 0$ ; confidence 0.136
  
−
98. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064510/m06451090.png ; $( S , \operatorname { Pic } ^ { 0 } X / S )$ ; confidence 0.966
+
98. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h047690119.png ; $G = \operatorname { Sp } ( k )$ ; confidence 0.959
  
−
99. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010800/a0108006.png ; $X , Y$ ; confidence 0.965
+
99. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h047970119.png ; $\epsilon : A \rightarrow K$ ; confidence 0.927
  
−
100. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085900/s08590025.png ; $m - d$ ; confidence 0.965
+
100. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l05851080.png ; $\beta - p \alpha \in \Sigma$ ; confidence 0.988
  
−
101. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040550/f0405508.png ; $V _ { 1 } \subset \ldots \subset V _ { k }$ ; confidence 0.965
+
101. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l058590122.png ; $x \rightarrow \text { ad } x$ ; confidence 0.661
  
−
102. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s130540109.png ; $K _ { 0 } R$ ; confidence 0.965
+
102. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059250/l059250103.png ; $SK _ { 1 } = UL ( n , K ) / SL ( n , K )$ ; confidence 0.898
  
−
103. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120545.png ; $F ( x , y ) \rightarrow \text { inf, } \quad x \in X$ ; confidence 0.965
+
103. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064510/m06451036.png ; $\psi : M \rightarrow h _ { N }$ ; confidence 0.284
  
−
104. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032490/d03249037.png ; $\tau = \operatorname { deg } \omega _ { \eta / F }$ ; confidence 0.965
+
104. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064510/m06451030.png ; $\phi : M \rightarrow h _ { M }$ ; confidence 0.965
  
−
105. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054270/j05427017.png ; $C ( V , f ) ^ { ( + ) }$ ; confidence 0.965
+
105. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690086.png ; $\pi _ { 1 } ( M ) \rightarrow G$ ; confidence 0.999
  
−
106. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086100/s08610044.png ; $M ^ { * } \times R ^ { n }$ ; confidence 0.965
+
106. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n066900108.png ; $m : G \times G \rightarrow A$ ; confidence 0.437
  
−
107. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064510/m06451030.png ; $\phi : M \rightarrow h _ { M }$ ; confidence 0.965
+
107. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070010/o0700105.png ; $G _ { X } = \{ g \in G : g ( x ) = x \}$ ; confidence 0.597
  
−
108. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016360/b0163608.png ; $G / N$ ; confidence 0.964
+
108. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072670/p0726706.png ; $\operatorname { sch } / S$ ; confidence 0.616
  
−
109. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872078.png ; $\pi ( x + y ) = \pi ( x ) + \pi ( y ) , \quad \pi ( \lambda x ) = \lambda ^ { p } \pi ( x ) , \quad \lambda \in k$ ; confidence 0.964
+
109. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q0763108.png ; $\epsilon : A \rightarrow k$ ; confidence 0.986
  
−
110. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590386.png ; $H _ { n } ( X _ { \epsilon } , R )$ ; confidence 0.964
+
110. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q07631081.png ; $H _ { i } \in \mathfrak { g }$ ; confidence 0.955
  
−
111. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052260/i052260112.png ; $G \rightarrow G / H$ ; confidence 0.964
+
111. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077670/r0776706.png ; $T = R _ { L / K } ^ { ( 1 ) } ( G _ { m } )$ ; confidence 0.672
  
−
112. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077490/r07749035.png ; $[ n / 2 ]$ ; confidence 0.964
+
112. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081030/r08103045.png ; $\alpha \in \Phi _ { k } ( S , G )$ ; confidence 0.995
  
−
113. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012200/a01220036.png ; $M = C$ ; confidence 0.964
+
113. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012210/a0122105.png ; $x = ( x _ { 1 } , \ldots , x _ { n } )$ ; confidence 0.566
  
−
114. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110190/d11019058.png ; $\pi$ ; confidence 0.964
+
114. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590631.png ; $( F _ { x } ^ { \prime } ) _ { 0 } = 0$ ; confidence 0.662
  
−
115. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011530/a01153019.png ; $\alpha ^ { \beta ^ { 2 } }$ ; confidence 0.964
+
115. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590441.png ; $C \{ x _ { 0 } , \dots , x _ { n } \}$ ; confidence 0.183
  
−
116. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016670/b01667067.png ; $r = 3$ ; confidence 0.964
+
116. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023720/c02372033.png ; $( U ( \zeta , R ) , f _ { \zeta } )$ ; confidence 0.999
  
−
117. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797064.png ; $\iota ( e ) = e$ ; confidence 0.964
+
117. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590632.png ; $( F _ { y } ^ { \prime } ) _ { 0 } = 0$ ; confidence 0.995
  
−
118. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058760/l05876032.png ; $f _ { j } ( e , x ) = x$ ; confidence 0.964
+
118. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590457.png ; $\Phi _ { \mu } ( x , \lambda ) =$ ; confidence 0.997
  
−
119. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081030/r081030104.png ; $O _ { \gamma } \subset \Delta \backslash \Delta _ { 0 }$ ; confidence 0.964
+
119. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590149.png ; $\operatorname { lim } f ( z )$ ; confidence 0.988
  
−
120. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145087.png ; $l ( D ) - l ( K - D ) = \operatorname { deg } ( D ) - g + 1$ ; confidence 0.964
+
120. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590254.png ; $\Gamma = \partial \hat { D }$ ; confidence 0.622
  
−
121. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037040/e03704040.png ; $D ( T )$ ; confidence 0.964
+
121. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590460.png ; $f ( x , y ) = x ^ { \mu + 1 } - y ^ { 2 }$ ; confidence 1.000
  
−
122. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e036960202.png ; $B _ { \nu } = y ^ { \prime \prime } + x ^ { - 1 } + ( 1 - \nu ^ { 2 } x ^ { - 2 } ) y$ ; confidence 0.963
+
122. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590109.png ; $z = \phi ( t ) \in U ( \zeta , R )$ ; confidence 0.999
  
−
123. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022800/c022800112.png ; $( , )$ ; confidence 0.963
+
123. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559052.png ; $( U ( \zeta , r ) , f _ { \zeta } )$ ; confidence 0.999
  
−
124. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064510/m06451040.png ; $\overline { \mathfrak { M } } _ { g }$ ; confidence 0.963
+
124. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087060/s08706030.png ; $\phi t _ { 1 } , \ldots , t _ { x }$ ; confidence 0.516
  
−
125. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120361.png ; $E ^ { \perp }$ ; confidence 0.963
+
125. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054064.png ; $\{ a , b \} = d a / a \wedge d b / b$ ; confidence 0.386
  
−
126. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e03696019.png ; $F _ { 0 } ( \Sigma )$ ; confidence 0.963
+
126. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t130130112.png ; $T \in K ^ { b } ( P _ { \Lambda } )$ ; confidence 0.723
  
−
127. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h047690131.png ; $SO ( 1 , n + 1 )$ ; confidence 0.963
+
127. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t130130102.png ; $pd _ { \Lambda } T = n < \infty$ ; confidence 0.509
  
−
128. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031640/d0316407.png ; $F _ { M } ( \omega m ) = \omega ^ { ( p ) } F _ { M } ( m )$ ; confidence 0.963
+
128. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a11022031.png ; $\{ e _ { 1 } , \ldots , e _ { x } \}$ ; confidence 0.340
  
−
129. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070010/o0700109.png ; $g \mapsto g ( x )$ ; confidence 0.963
+
129. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t130140105.png ; $z , j = | L \cap e _ { j } | e _ { i } |$ ; confidence 0.398
  
−
130. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d03183025.png ; $( V )$ ; confidence 0.963
+
130. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090105.png ; $K \mathfrak { S } _ { \gamma }$ ; confidence 0.475
  
−
131. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690039.png ; $H ^ { 0 } ( X , F ) = F ( X )$ ; confidence 0.963
+
131. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450219.png ; $| N - q - 1 | \leq 2 g \sqrt { q }$ ; confidence 0.983
  
−
132. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120377.png ; $\omega ( z ) = 1 / \{ 2 \pi i ( \zeta - z _ { 0 } ) ^ { 2 } \}$ ; confidence 0.963
+
132. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450104.png ; $\operatorname { deg } D = n$ ; confidence 0.999
  
−
133. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l05851048.png ; $Y _ { \alpha } \in \mathfrak { g } _ { - \alpha }$ ; confidence 0.963
+
133. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145039.png ; $\operatorname { Pic } ( X )$ ; confidence 0.908
  
−
134. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012810/a01281015.png ; $( x _ { 1 } , y _ { 1 } )$ ; confidence 0.963
+
134. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150037.png ; $m = ( m _ { 1 } , \dots , m _ { p } )$ ; confidence 0.458
  
−
135. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074640/p0746405.png ; $\pi : P \rightarrow B$ ; confidence 0.962
+
135. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011530/a0115305.png ; $f ( x _ { 1 } , \ldots , x _ { x } )$ ; confidence 0.540
  
−
136. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011780/a0117807.png ; $\{ a , b \}$ ; confidence 0.962
+
136. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011530/a0115303.png ; $b _ { 1 } , \dots , b _ { p } \in K$ ; confidence 0.520
  
−
137. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120547.png ; $F : X \times U \rightarrow \overline { R }$ ; confidence 0.962
+
137. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011530/a01153012.png ; $P ( x _ { 1 } , \ldots , x _ { x } )$ ; confidence 0.453
  
−
138. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021430/c02143030.png ; $( W , S )$ ; confidence 0.962
+
138. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012540/a0125406.png ; $D = [ Z _ { G } ( S ) , Z _ { G } ( S ) ]$ ; confidence 0.997
  
−
139. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240529.png ; $R$ ; confidence 0.962
+
139. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a01417090.png ; $C ( f _ { 1 } , \ldots , f _ { n } )$ ; confidence 0.262
  
−
140. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130530/s13053089.png ; $H _ { r - 1 } ( C )$ ; confidence 0.962
+
140. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023330/c0233305.png ; $g ( \phi ( x ) ) = \phi ( g ( x ) )$ ; confidence 0.999
  
−
141. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164089.png ; $b _ { 1 } ( V )$ ; confidence 0.962
+
141. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d03070044.png ; $\Theta = \Theta _ { X _ { 0 } }$ ; confidence 0.770
  
−
142. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004012.png ; $P ^ { 1 } ( Q )$ ; confidence 0.961
+
142. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700243.png ; $H ^ { 2 } ( \mathfrak { A } , V )$ ; confidence 0.405
  
−
143. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087060/s08706022.png ; $S K _ { 1 } ( R )$ ; confidence 0.961
+
143. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700235.png ; $\operatorname { dim } V = n$ ; confidence 0.990
  
−
144. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l05851078.png ; $N _ { \alpha , \beta } = - N _ { - \alpha , - \beta } \quad \text { and } \quad N _ { \alpha , \beta } = \pm ( p + 1 )$ ; confidence 0.961
+
144. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700174.png ; $D _ { X _ { 0 } } ( R ^ { \prime } )$ ; confidence 0.369
  
−
145. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240105.png ; $y$ ; confidence 0.961
+
145. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d03070057.png ; $H ^ { 1 } ( X _ { 0 } , \Theta ) = 0$ ; confidence 0.660
  
−
146. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014062.png ; $\beta : j \rightarrow i$ ; confidence 0.961
+
146. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700203.png ; $p ^ { - 1 } ( M x _ { 0 } , \alpha )$ ; confidence 0.424
  
−
147. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010800/a01080011.png ; $\nabla$ ; confidence 0.961
+
147. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830260.png ; $\partial _ { i } I \subset I$ ; confidence 0.998
  
−
148. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081370/r08137022.png ; $\sum _ { \alpha \in I } ( \operatorname { dim } \rho ^ { \alpha } ) ^ { 2 } = | G |$ ; confidence 0.960
+
148. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830331.png ; $\Sigma \cap R = \emptyset$ ; confidence 0.760
  
−
149. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020660/c020660110.png ; $( x _ { 0 } , y _ { 0 } )$ ; confidence 0.960
+
149. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830222.png ; $F \subset F _ { 1 } \subset G$ ; confidence 0.998
  
−
150. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150019.png ; $2 \omega$ ; confidence 0.960
+
150. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830334.png ; $\Sigma \backslash \{ F \}$ ; confidence 0.995
  
−
151. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025930/c02593015.png ; $V \times W$ ; confidence 0.960
+
151. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120193.png ; $H ^ { n - p } ( X , O _ { X } ( K - D ) )$ ; confidence 0.900
  
−
152. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590229.png ; $L : [ 0,1 ] \rightarrow C ^ { n }$ ; confidence 0.960
+
152. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120410.png ; $G = ( ( F , \tau ) ) ^ { \prime }$ ; confidence 0.999
  
−
153. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120030/c1200305.png ; $a < b$ ; confidence 0.960
+
153. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120353.png ; $F ( z , \zeta ) = e ^ { z \zeta }$ ; confidence 0.983
  
−
154. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040052.png ; $\mathfrak { h } \subset \mathfrak { g }$ ; confidence 0.959
+
154. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040550/f0405509.png ; $\nu = ( n 1 , \ldots , n _ { k } )$ ; confidence 0.497
  
−
155. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h047690119.png ; $G = \operatorname { Sp } ( k )$ ; confidence 0.959
+
155. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820167.png ; $F _ { \pi } ( \overline { m } )$ ; confidence 0.977
  
−
156. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640111.png ; $( K _ { V } ^ { 2 } ) = 0$ ; confidence 0.959
+
156. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082012.png ; $\operatorname { nil } ( B )$ ; confidence 0.706
  
−
157. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a1303204.png ; $X$ ; confidence 0.959
+
157. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082089.png ; $\operatorname { dim } F = n$ ; confidence 0.991
  
−
158. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640109.png ; $K _ { V } = 0$ ; confidence 0.959
+
158. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082021.png ; $B _ { 1 } \rightarrow B _ { 2 }$ ; confidence 0.997
  
−
159. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s1300409.png ; $H ^ { * } = H \cup P ^ { 1 } ( Q ) \subset P ^ { 1 } ( C )$ ; confidence 0.959
+
159. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082090.png ; $\operatorname { dim } G = m$ ; confidence 0.989
  
−
160. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t13013095.png ; $H$ ; confidence 0.959
+
160. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g13002030.png ; $K [ f _ { 1 } , \ldots , f _ { d } ]$ ; confidence 0.506
  
−
161. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700312.png ; $i : X _ { 1 } \rightarrow X$ ; confidence 0.958
+
161. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046940/h04694014.png ; $k [ X _ { 1 } , \ldots , X _ { x } ]$ ; confidence 0.338
  
−
162. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797015.png ; $A = \sum _ { n \in Z } A _ { n }$ ; confidence 0.958
+
162. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h0476903.png ; $( g _ { 0 } x ) \rightarrow g x$ ; confidence 0.497
  
−
163. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164078.png ; $k > 0$ ; confidence 0.958
+
163. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h047690124.png ; $\operatorname { pin } ( 9 )$ ; confidence 0.966
  
−
164. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074720/p07472084.png ; $( \gamma x ) ^ { g } = ( \gamma ^ { g } ) ( x ^ { g } )$ ; confidence 0.958
+
164. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052350/i05235045.png ; $k [ x _ { 1 } , \ldots , x _ { y } ]$ ; confidence 0.240
  
−
165. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020570/c02057057.png ; $H ^ { p } ( X , S ) = 0 \quad \text { for } p \geq 1$ ; confidence 0.958
+
165. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052350/i05235058.png ; $P ( t _ { 1 } , \ldots , t _ { m } )$ ; confidence 0.738
  
−
166. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g13002039.png ; $2 \sqrt [ 4 ] { 3 }$ ; confidence 0.958
+
166. https://www.encyclopediaofmath.org/legacyimages/i/i053/i053060/i05306039.png ; $( k , a , n ) \rightarrow k a n$ ; confidence 0.826
  
−
167. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082078.png ; $\phi _ { F } ^ { * } F _ { u } ( X , Y ) = F ( X , Y )$ ; confidence 0.958
+
167. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l05851053.png ; $\alpha , \beta \in \Sigma$ ; confidence 0.986
  
−
168. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450139.png ; $\phi _ { K } ( X )$ ; confidence 0.958
+
168. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020690/c0206907.png ; $90 \subset \mathfrak { g }$ ; confidence 0.492
  
−
169. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700154.png ; $H ^ { 1 } ( X _ { 0 } , T _ { X _ { 0 } } ) = 0$ ; confidence 0.958
+
169. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l05851077.png ; $( \alpha \in \Sigma _ { + } )$ ; confidence 0.647
  
−
170. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130530/s13053052.png ; $F _ { q }$ ; confidence 0.958
+
170. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021620/c021620134.png ; $n = \operatorname { dim } V$ ; confidence 0.482
  
−
171. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047700/h04770032.png ; $M ( k ) \neq \emptyset$ ; confidence 0.957
+
171. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058520/l05852044.png ; $\operatorname { tim } V = 1$ ; confidence 0.842
  
−
172. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145049.png ; $H ^ { 0 } ( X , \Omega _ { X } ^ { 1 } )$ ; confidence 0.957
+
172. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l058590142.png ; $B \times E \rightarrow B E$ ; confidence 0.998
  
−
173. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120496.png ; $X ^ { * \prime } = X$ ; confidence 0.957
+
173. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044470/g04447024.png ; $\operatorname { Int } ( g )$ ; confidence 0.592
  
−
174. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110500/b11050020.png ; $G _ { d }$ ; confidence 0.957
+
174. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058610/l05861062.png ; $\operatorname { pin } ( n )$ ; confidence 0.992
  
−
175. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590128.png ; $\overline { U } ( 0,1 ) = \{ z \in \overline { C } : | z | \leq 1 \}$ ; confidence 0.957
+
175. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058610/l05861035.png ; $( [ x , y ] , z ) + ( y , [ x , z ] ) = 0$ ; confidence 0.999
  
−
176. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s0855908.png ; $U ( \zeta , R ) = \{ z \in \overline { C } : | z - \zeta | < R \}$ ; confidence 0.957
+
176. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058680/l05868099.png ; $G _ { 0 } / L ( \mathfrak { g } )$ ; confidence 0.825
  
−
177. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120336.png ; $| z | < R$ ; confidence 0.957
+
177. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058680/l05868065.png ; $\Gamma _ { 1 } / \Gamma _ { 0 }$ ; confidence 0.917
  
−
178. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w12009021.png ; $S ( n , 1 )$ ; confidence 0.956
+
178. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l058720133.png ; $[ X _ { 1 } , \ldots , X _ { W } ] ]$ ; confidence 0.420
  
−
179. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l058590159.png ; $G _ { 2 } , F _ { 4 } , E _ { 6 } , E _ { 7 } , E _ { 8 }$ ; confidence 0.956
+
179. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064510/m06451091.png ; $\operatorname { Pic } X / S$ ; confidence 0.826
  
−
180. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023330/c02333033.png ; $H = \frac { 1 } { 36 } \left| \begin{array} { c c } { \frac { \partial ^ { 2 } f } { \partial x ^ { 2 } } } & { \frac { \partial ^ { 2 } f } { \partial x \partial y } } \\ { \frac { \partial ^ { 2 } f } { \partial x \partial y } } & { \frac { \partial ^ { 2 } f } { \partial y ^ { 2 } } } \end{array} \right| =$ ; confidence 0.956
+
180. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690029.png ; $C ^ { i } ( \mathfrak { U } , F )$ ; confidence 0.935
  
−
181. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130100/r13010034.png ; $D _ { n }$ ; confidence 0.956
+
181. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070010/o07001020.png ; $G _ { g } ( x ) = g G _ { x } g ^ { - 1 }$ ; confidence 0.775
  
−
182. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l058590158.png ; $A _ { n } , n \geq 1 , \quad B _ { n } , n \geq 2 , \quad C _ { n } , n \geq 3 , \quad D _ { n } , n \geq 4$ ; confidence 0.956
+
182. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070010/o0700104.png ; $G ( x ) = \{ g ( x ) : g \in G \}$ ; confidence 0.999
  
−
183. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058610/l05861051.png ; $SO ( 2 n )$ ; confidence 0.956
+
183. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070010/o070010102.png ; $X _ { ( H ) } = \{ x \in X : G _ { X }$ ; confidence 0.371
  
−
184. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032490/d03249035.png ; $F ( \eta ) = F ( \zeta )$ ; confidence 0.956
+
184. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074720/p07472038.png ; $\operatorname { Pic } ( S )$ ; confidence 0.837
  
−
185. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872011.png ; $x : y \rightarrow [ x , y ]$ ; confidence 0.956
+
185. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q07631019.png ; $( A , \Delta , \epsilon , S )$ ; confidence 0.994
  
−
186. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a0102205.png ; $p \geq 1$ ; confidence 0.956
+
186. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q07631094.png ; $( \square _ { k } ^ { x } ) _ { q }$ ; confidence 0.158
  
−
187. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130010/b13001079.png ; $V ^ { * }$ ; confidence 0.955
+
187. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077630/r07763067.png ; $k [ G ] - w _ { 0 } ( \chi ) \neq 0$ ; confidence 0.507
  
−
188. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110120/m11012010.png ; $SO ( 3,1 )$ ; confidence 0.955
+
188. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r07764058.png ; $X = C ^ { 2 } / G \subset C ^ { 3 }$ ; confidence 0.982
  
−
189. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097590/w09759011.png ; $I = \operatorname { ind } _ { k } ( D )$ ; confidence 0.955
+
189. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r07764092.png ; $\operatorname { dim } X = 2$ ; confidence 0.997
  
−
190. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450138.png ; $\phi _ { K }$ ; confidence 0.955
+
190. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004016.png ; $\Gamma \backslash H ^ { * }$ ; confidence 0.997
  
−
191. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q07631081.png ; $H _ { i } \in \mathfrak { g }$ ; confidence 0.955
+
191. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590343.png ; $\pi _ { 1 } ( S \backslash D )$ ; confidence 0.983
  
−
192. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058760/l05876038.png ; $1 \leq i , j \leq r , \quad 1 \leq l \leq n$ ; confidence 0.955
+
192. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590386.png ; $H _ { n } ( X _ { \epsilon } , R )$ ; confidence 0.964
  
−
193. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054340/j05434030.png ; $C _ { m } ( \lambda ) = \operatorname { rk } ( A - \lambda E ) ^ { m - 1 } - 2 \operatorname { rk } ( A - \lambda E ) ^ { m } +$ ; confidence 0.955
+
193. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590350.png ; $X _ { S } \rightarrow X _ { S }$ ; confidence 0.939
  
−
194. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a014170123.png ; $( x , v ) \gamma = ( x \gamma , j ( x , \gamma ) v )$ ; confidence 0.955
+
194. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590449.png ; $F : C ^ { n + 2 } \rightarrow C$ ; confidence 0.512
  
−
195. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g13002038.png ; $2 \sqrt [ 2 ] { 3 }$ ; confidence 0.954
+
195. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590402.png ; $y = \sum _ { i \geq n } a _ { i } t$ ; confidence 0.881
  
−
196. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164083.png ; $H _ { i } ( V , Z )$ ; confidence 0.954
+
196. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559028.png ; $L _ { 2 } : z = \phi _ { 2 } ( t )$ ; confidence 0.995
  
−
197. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e036960205.png ; $\nu - 1 / 2 \in Z$ ; confidence 0.954
+
197. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590362.png ; $H _ { n } ( X _ { \epsilon } , Z )$ ; confidence 0.941
  
−
198. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110200/c11020072.png ; $\lambda \in \Lambda$ ; confidence 0.954
+
198. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087060/s0870606.png ; $R [ t _ { 1 } , \ldots , t _ { x } ]$ ; confidence 0.576
  
−
199. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120183.png ; $H ^ { p + 1 } ( X , F )$ ; confidence 0.954
+
199. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087060/s08706032.png ; $R ( t _ { 1 } , \ldots , t _ { x } )$ ; confidence 0.280
  
−
200. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040550/f04055020.png ; $H _ { F }$ ; confidence 0.954
+
200. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t13013032.png ; $y = \operatorname { Sub } T$ ; confidence 0.371
  
−
201. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012540/a01254016.png ; $D = ( e )$ ; confidence 0.954
+
201. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t130140151.png ; $\operatorname { prin } K l$ ; confidence 0.500
  
−
202. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023720/c02372062.png ; $D \subset \overline { C }$ ; confidence 0.954
+
202. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290148.png ; $\operatorname { dim } A = 1$ ; confidence 0.998
  
−
203. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040550/f04055037.png ; $( n _ { 1 } )$ ; confidence 0.953
+
203. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097710/w09771049.png ; $X ( T _ { 0 } / Z ( G ) ^ { 0 } ) _ { Q }$ ; confidence 0.799
  
−
204. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025930/c02593049.png ; $d \psi$ ; confidence 0.953
+
204. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090231.png ; $d \frac { G } { B } ( \lambda )$ ; confidence 0.412
  
−
205. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120563.png ; $f _ { 0 } ( x ) \rightarrow$ ; confidence 0.953
+
205. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090389.png ; $\nabla ( \lambda ) = M _ { K }$ ; confidence 0.735
  
−
206. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120280/c12028024.png ; $A \otimes B$ ; confidence 0.953
+
206. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090364.png ; $\Lambda ( V ) \neq \Lambda$ ; confidence 0.996
  
−
207. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120139.png ; $H ^ { n - \gamma - 1 } ( B , X )$ ; confidence 0.953
+
207. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150084.png ; $\int \int R ( x , y , z ) d x d y$ ; confidence 0.999
  
−
208. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l058720151.png ; $C _ { 2 } ( \epsilon )$ ; confidence 0.953
+
208. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a01165072.png ; $G \times G \rightarrow G$ ; confidence 0.991
  
−
209. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077630/r07763060.png ; $\chi \in X ( T ) = X ( B )$ ; confidence 0.953
+
209. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a014170130.png ; $X \times V \rightarrow X$ ; confidence 0.986
  
−
210. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032170/d0321705.png ; $x ( t ) , y ( t )$ ; confidence 0.953
+
210. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015047.png ; $\operatorname { ad } X$ ; confidence 0.415
  
−
211. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h047970118.png ; $\mu : A \rightarrow A \otimes A$ ; confidence 0.952
+
211. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020570/c02057029.png ; $( k _ { 1 } , \ldots , k _ { r } )$ ; confidence 0.512
  
−
212. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n066900114.png ; $Z ^ { 2 } ( G , A )$ ; confidence 0.952
+
212. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020570/c02057025.png ; $\Lambda ( h _ { i } ) = k _ { i }$ ; confidence 0.674
  
−
213. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h047690125.png ; $n = 7,15$ ; confidence 0.952
+
213. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025930/c02593096.png ; $k _ { i } = \Lambda ( h _ { i } )$ ; confidence 0.970
  
−
214. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d03070037.png ; $\pi ^ { \prime } : X ^ { \prime } \rightarrow S ^ { \prime }$ ; confidence 0.952
+
214. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700134.png ; $p : \kappa \rightarrow O$ ; confidence 0.794
  
−
215. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640133.png ; $T _ { V }$ ; confidence 0.952
+
215. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830120.png ; $A _ { 1 } , \ldots , A _ { m } - l$ ; confidence 0.471
  
−
216. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h0479703.png ; $\mu : A \otimes A \rightarrow A$ ; confidence 0.952
+
216. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d03183078.png ; $[ Y _ { 1 } , \ldots , Y _ { n } ]$ ; confidence 0.787
  
−
217. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590373.png ; $x _ { 0 } ^ { \mu + 1 } + x _ { 1 } ^ { 2 } + \ldots + x _ { n } ^ { 2 } = 0$ ; confidence 0.952
+
217. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830342.png ; $k \in N = \{ 1,2 , \ldots \}$ ; confidence 0.388
  
−
218. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700227.png ; $A ( V ) / GL ( V )$ ; confidence 0.951
+
218. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120120.png ; $H _ { n - r } ( M ^ { n } , X ^ { * } )$ ; confidence 0.980
  
−
219. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004021.png ; $\operatorname { Im } ( \gamma z ) > 1$ ; confidence 0.951
+
219. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120475.png ; $\sigma ( F , F ^ { \prime } )$ ; confidence 1.000
  
−
220. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120288.png ; $\{ G _ { n } \}$ ; confidence 0.951
+
220. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120279.png ; $\cup _ { G \in O ^ { F } } A ( G )$ ; confidence 0.518
  
−
221. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054340/j05434026.png ; $C _ { m } ( \lambda )$ ; confidence 0.951
+
221. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e03696035.png ; $( \alpha _ { i } ) _ { i \in I }$ ; confidence 0.994
  
−
222. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081030/r081030106.png ; $\Delta _ { 0 } \cup O _ { \gamma }$ ; confidence 0.951
+
222. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e03696087.png ; $\eta = ( n _ { j } ) _ { j \in J }$ ; confidence 0.924
  
−
223. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a01417023.png ; $\{ z \in C : \operatorname { Im } z > 0 \}$ ; confidence 0.951
+
223. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820177.png ; $[ n ] ( X ) = F ( X , [ n - 1 ] ( X ) )$ ; confidence 0.996
  
−
224. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058610/l05861049.png ; $SO ( 2 n + 1 )$ ; confidence 0.950
+
224. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082098.png ; $\alpha _ { i } ( Z ) = Z _ { i } +$ ; confidence 0.777
  
−
225. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054270/j05427088.png ; $Kan ^ { - 1 }$ ; confidence 0.950
+
225. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047410/h04741050.png ; $F , F _ { 1 } , \ldots , F _ { m }$ ; confidence 0.556
  
−
226. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145030.png ; $D > 0$ ; confidence 0.949
+
226. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047410/h04741052.png ; $F ( X _ { 1 } , \dots , X _ { p } )$ ; confidence 0.131
  
−
227. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023330/c02333012.png ; $\{ X _ { i } : i \in I \}$ ; confidence 0.949
+
227. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047700/h04770012.png ; $\psi : G / H \rightarrow X$ ; confidence 0.991
  
−
228. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164096.png ; $2 p _ { g } ( V ) + 1$ ; confidence 0.948
+
228. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047700/h04770018.png ; $\psi : G / H \rightarrow M$ ; confidence 0.999
  
−
229. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120140/b12014039.png ; $a ( z )$ ; confidence 0.948
+
229. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h047970126.png ; $( A , m , e , \mu , \epsilon )$ ; confidence 0.985
  
−
230. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011740/a01174011.png ; $P ^ { x }$ ; confidence 0.948
+
230. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054270/j05427026.png ; $C \mapsto \overline { C }$ ; confidence 0.147
  
−
231. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a01417028.png ; $\{ z \rightarrow z + n : n \in Z \}$ ; confidence 0.948
+
231. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120010/c120010201.png ; $C ^ { \prime } D ^ { \prime }$ ; confidence 0.060
  
−
232. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052350/i05235023.png ; $n = r = 2$ ; confidence 0.948
+
232. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l05851075.png ; $N _ { \alpha , \beta } \in k$ ; confidence 0.824
  
−
233. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820128.png ; $\gamma ( T ) + F \delta ( T ) = F ( \gamma ( T ) , \delta ( T ) )$ ; confidence 0.948
+
233. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l05851046.png ; $\alpha ( H _ { \alpha } ) = 2$ ; confidence 0.980
  
−
234. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120508.png ; $( f , g ) = \sum _ { \alpha } ( f _ { \alpha } , g _ { \alpha } ) _ { \alpha }$ ; confidence 0.947
+
234. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058520/l05852016.png ; $g _ { m } ^ { \prime } = \{ 0 \}$ ; confidence 0.584
  
−
235. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024029.png ; $g = 0$ ; confidence 0.947
+
235. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l058590104.png ; $L ( G / H ) \cong L ( G ) / L ( H )$ ; confidence 0.998
  
−
236. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590534.png ; $X \in C ( G )$ ; confidence 0.947
+
236. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058610/l05861085.png ; $\Gamma = g ( \Gamma _ { 1 } )$ ; confidence 0.999
  
−
237. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120161.png ; $H _ { \Phi } ^ { p } ( X , F )$ ; confidence 0.947
+
237. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058680/l05868040.png ; $\Gamma _ { 1 } / \Gamma ( G )$ ; confidence 0.995
  
−
238. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095400/u09540041.png ; $\sum _ { i = 1 } ^ { j } m _ { i } \geq \sum _ { i = 1 } ^ { j } l _ { i }$ ; confidence 0.947
+
238. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064510/m06451039.png ; $A / R = \mathfrak { M } _ { g }$ ; confidence 0.608
  
−
239. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058680/l05868027.png ; $\Gamma _ { 0 } = \Gamma _ { 0 } ( \mathfrak { g } )$ ; confidence 0.946
+
239. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064510/m06451084.png ; $( X / S , \mathfrak { P } / S )$ ; confidence 0.702
  
−
240. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090344.png ; $\beta \in \Sigma$ ; confidence 0.946
+
240. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b1204003.png ; $G \times E \rightarrow E$ ; confidence 0.988
  
−
241. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023330/c02333013.png ; $\prod _ { i \in I } X _ { i } \rightarrow Y$ ; confidence 0.946
+
241. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q07631041.png ; $( i _ { 1 } , \ldots , i _ { n } )$ ; confidence 0.577
  
−
242. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t130130105.png ; $0 \rightarrow \Lambda \rightarrow T _ { 1 } \rightarrow \ldots \rightarrow T _ { n } \rightarrow 0$ ; confidence 0.946
+
242. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q07631040.png ; $l ( i _ { 1 } , \dots , i _ { n } )$ ; confidence 0.574
  
−
243. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074710/p07471027.png ; $C ^ { G }$ ; confidence 0.946
+
243. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r07764045.png ; $x y ^ { 2 } + x ^ { x + 1 } + z ^ { 2 }$ ; confidence 0.625
  
−
244. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130140/a13014020.png ; $R ^ { 3 }$ ; confidence 0.946
+
244. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081030/r08103021.png ; $W _ { k } ( S , G ) = N ( S ) / Z ( S )$ ; confidence 0.997
  
−
245. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130250/a13025024.png ; $i = 1,2$ ; confidence 0.946
+
245. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004020.png ; $\operatorname { Im } z > 1$ ; confidence 0.805
  
−
246. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680253.png ; $R = Z$ ; confidence 0.945
+
246. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023720/c02372062.png ; $D \subset \overline { C }$ ; confidence 0.954
  
−
247. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081370/r08137020.png ; $\{ \rho ^ { \alpha } \}$ ; confidence 0.945
+
247. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590510.png ; $x _ { 0 } \in G \backslash H$ ; confidence 0.939
  
−
248. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021570/c02157039.png ; $L _ { 2 } ( G )$ ; confidence 0.945
+
248. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590596.png ; $\frac { d w } { d z } = P ( z , w )$ ; confidence 0.892
  
−
249. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240213.png ; $7$ ; confidence 0.945
+
249. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048520/h04852017.png ; $A _ { k } ^ { \prime \prime }$ ; confidence 0.329
  
−
250. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l05851037.png ; $\mathfrak { g } = \mathfrak { h } + \sum _ { \alpha \in \Sigma } \mathfrak { g } _ { \alpha }$ ; confidence 0.945
+
250. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085900/s08590036.png ; $d g _ { 1 } , \ldots , d g _ { r }$ ; confidence 0.437
  
−
251. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095410/u09541037.png ; $U _ { 2 } ( K )$ ; confidence 0.944
+
251. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087080/s08708063.png ; $\phi ( x ; \overline { y } )$ ; confidence 0.574
  
−
252. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120020/c12002073.png ; $R ^ { k }$ ; confidence 0.944
+
252. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087080/s08708085.png ; $I ( T , \aleph _ { \alpha } )$ ; confidence 0.995
  
−
253. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110070/k11007019.png ; $- w _ { 0 } ( \chi )$ ; confidence 0.944
+
253. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130530/s13053084.png ; $n = a _ { 1 } + \ldots + a _ { s }$ ; confidence 0.232
  
−
254. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015660/b01566013.png ; $X$ ; confidence 0.944
+
254. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s130540102.png ; $( \infty \times \infty )$ ; confidence 1.000
  
−
255. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110040/b11004012.png ; $\theta _ { 0 }$ ; confidence 0.944
+
255. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t1301307.png ; $p \cdot d i m _ { \Lambda } T$ ; confidence 0.114
  
−
256. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016950/b01695036.png ; $q - 1$ ; confidence 0.944
+
256. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014089.png ; $Q _ { 0 } = \{ 1 , \ldots , n \}$ ; confidence 0.811
  
−
257. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110960/b11096050.png ; $G ( K )$ ; confidence 0.944
+
257. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t130140102.png ; $q R : Z ^ { n } \rightarrow Z$ ; confidence 0.761
  
−
258. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700190.png ; $\operatorname { dim } _ { k } H ^ { 1 } ( X _ { 0 } , T _ { X _ { 0 } } ) - \operatorname { dim } M _ { X _ { 0 } } \leq \operatorname { dim } _ { k } H ^ { 2 } ( X _ { 0 } , T _ { X _ { 0 } } )$ ; confidence 0.944
+
258. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014079.png ; $q g : Z ^ { n } \rightarrow Z$ ; confidence 0.220
  
−
259. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q07631093.png ; $( A _ { j } )$ ; confidence 0.944
+
259. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010430/a01043023.png ; $t \rightarrow \infty$ ; confidence 0.998
  
−
260. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164076.png ; $H ^ { p } ( V , \Omega ^ { q } ) = \operatorname { dim } H ^ { q } ( V , \Omega ^ { p } )$ ; confidence 0.943
+
260. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090278.png ; $\Lambda \supseteq \Phi$ ; confidence 0.935
  
−
261. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130050/c13005045.png ; $( G )$ ; confidence 0.943
+
261. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090401.png ; $d _ { \lambda \lambda } = 1$ ; confidence 0.780
  
−
262. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012540/a0125405.png ; $S \subset G$ ; confidence 0.943
+
262. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090346.png ; $U _ { K } = K \otimes z U _ { Z }$ ; confidence 0.445
  
−
263. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033280/d0332802.png ; $y \in X$ ; confidence 0.943
+
263. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090189.png ; $d _ { K B } ^ { K G } ( \lambda )$ ; confidence 0.599
  
−
264. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120178.png ; $H _ { c } ^ { n } ( X , \Omega )$ ; confidence 0.942
+
264. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090370.png ; $\lambda \in \Delta ^ { + }$ ; confidence 0.542
  
−
265. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073040/p07304033.png ; $X$ ; confidence 0.942
+
265. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090385.png ; $W ( \lambda ) ^ { \lambda }$ ; confidence 0.999
  
−
266. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e03696090.png ; $c \in F \{ ( y _ { j } ) _ { j \in J } \}$ ; confidence 0.942
+
266. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150080.png ; $f : X \rightarrow P ^ { 1 }$ ; confidence 0.998
  
−
267. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830297.png ; $= \partial A / \partial u _ { A }$ ; confidence 0.942
+
267. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150072.png ; $f : P ^ { 2 } \rightarrow X$ ; confidence 0.995
  
−
268. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014066.png ; $( h _ { j } ) ^ { * } ( M _ { i j } ^ { \beta } ) = ( h _ { i } ^ { - 1 } M _ { i j } ^ { \beta } h _ { j } )$ ; confidence 0.942
+
268. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640145.png ; $\omega = M - M ^ { \prime }$ ; confidence 1.000
  
−
269. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l058720119.png ; $S _ { n } = n ( p ^ { n + 1 } - 1 )$ ; confidence 0.942
+
269. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020550/c02055054.png ; $t = \overline { t } \cap g$ ; confidence 0.361
  
−
270. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590410.png ; $\pi : X \rightarrow X$ ; confidence 0.941
+
270. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023330/c02333043.png ; $k [ Y ] \rightarrow k [ X ]$ ; confidence 0.996
  
−
271. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081230/r08123020.png ; $f ( z ) =$ ; confidence 0.941
+
271. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d03070076.png ; $H ^ { 1 } ( X , O _ { Ad } _ { E } )$ ; confidence 0.654
  
−
272. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590362.png ; $H _ { n } ( X _ { \epsilon } , Z )$ ; confidence 0.941
+
272. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700312.png ; $i : X _ { 1 } \rightarrow X$ ; confidence 0.958
  
−
273. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016950/b01695087.png ; $R ( G )$ ; confidence 0.941
+
273. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700313.png ; $r : X \rightarrow X _ { 1 }$ ; confidence 0.982
  
−
274. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559089.png ; $\{ M \}$ ; confidence 0.941
+
274. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700138.png ; $O \rightarrow \Lambda$ ; confidence 0.985
  
−
275. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820159.png ; $\mathfrak { m } = ( \pi )$ ; confidence 0.941
+
275. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830168.png ; $( 0 , \ldots , 0 , \alpha )$ ; confidence 0.745
  
−
276. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a01417066.png ; $x _ { 0 } \in \partial X$ ; confidence 0.941
+
276. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830381.png ; $\partial A / \partial v$ ; confidence 0.721
  
−
277. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120040/b12004090.png ; $f ^ { * }$ ; confidence 0.941
+
277. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d03412095.png ; $H ^ { \gamma } ( R , X ^ { * } )$ ; confidence 0.462
  
−
278. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240546.png ; $7$ ; confidence 0.941
+
278. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120495.png ; $\beta ( X ^ { \prime } , X )$ ; confidence 1.000
  
−
279. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559054.png ; $\tau _ { 2 } - \epsilon < \tau ^ { \prime \prime } < \tau _ { 2 }$ ; confidence 0.940
+
279. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120139.png ; $H ^ { n - \gamma - 1 } ( B , X )$ ; confidence 0.953
  
−
280. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014042.png ; $K _ { 0 } ( Q ) = K _ { 0 } ( \operatorname { rep } _ { K } ( Q ) )$ ; confidence 0.940
+
280. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120382.png ; $\phi ^ { * } ( z ) \in E ^ { 1 }$ ; confidence 0.997
  
−
281. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590407.png ; $1 / n 1$ ; confidence 0.940
+
281. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120221.png ; $H _ { \gamma } ^ { p } ( X , F )$ ; confidence 0.568
  
−
282. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004033.png ; $G = \operatorname { Sp } ( 2 g , R )$ ; confidence 0.940
+
282. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120178.png ; $H _ { c } ^ { n } ( X , \Omega )$ ; confidence 0.942
  
−
283. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a01130040.png ; $A _ { \mu }$ ; confidence 0.940
+
283. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120563.png ; $f _ { 0 } ( x ) \rightarrow$ ; confidence 0.953
  
−
284. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150040.png ; $F ( m ) = \sum \alpha _ { j k } m _ { j } m _ { k } , \quad \alpha _ { j k } = \alpha _ { k j }$ ; confidence 0.940
+
284. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120290.png ; $G _ { x } + 1 \subset G _ { x }$ ; confidence 0.345
  
−
285. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120530/b12053030.png ; $f _ { n } \rightarrow f$ ; confidence 0.940
+
285. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120485.png ; $( F , \tau ) ^ { \prime } = G$ ; confidence 0.999
  
−
286. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590350.png ; $X _ { S } \rightarrow X _ { S }$ ; confidence 0.939
+
286. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e03696065.png ; $y _ { j } \delta \theta$ ; confidence 0.866
  
−
287. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590510.png ; $x _ { 0 } \in G \backslash H$ ; confidence 0.939
+
287. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e036960139.png ; $\delta _ { i } \in \Delta$ ; confidence 0.998
  
−
288. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q076310148.png ; $z _ { \gamma } \in A$ ; confidence 0.939
+
288. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e036960209.png ; $( G / F ) \approx GL ( n , K )$ ; confidence 0.527
  
−
289. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023470/c02347035.png ; $\mu ( g )$ ; confidence 0.939
+
289. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082083.png ; $F _ { u } ^ { \prime } ( X , Y )$ ; confidence 0.784
  
−
290. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012380/a01238018.png ; $m \geq n$ ; confidence 0.939
+
290. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082071.png ; $F _ { u } ( X , Y ) \in L [ X , Y ]$ ; confidence 0.850
  
−
291. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450243.png ; $X _ { \eta }$ ; confidence 0.938
+
291. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047410/h04741053.png ; $( c _ { 1 } , \dots , c _ { r } )$ ; confidence 0.502
  
−
292. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130010/b130010123.png ; $V _ { n }$ ; confidence 0.938
+
292. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047410/h047410125.png ; $H ^ { 1 } ( X _ { et } , G _ { m } )$ ; confidence 0.738
  
−
293. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120344.png ; $\Lambda _ { \zeta } F ( z , \zeta )$ ; confidence 0.938
+
293. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047700/h04770010.png ; $\pi : G \rightarrow G / H$ ; confidence 0.825
  
−
294. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680145.png ; $\alpha _ { i j }$ ; confidence 0.938
+
294. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h047970128.png ; $\iota : A \rightarrow A$ ; confidence 0.555
  
−
295. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h047690110.png ; $< 6$ ; confidence 0.938
+
295. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h0479704.png ; $\iota : K \rightarrow A$ ; confidence 0.629
  
−
296. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087060/s08706039.png ; $S K _ { 1 }$ ; confidence 0.938
+
296. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797062.png ; $p : G \rightarrow \{ e \}$ ; confidence 0.978
  
−
297. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024670/c02467038.png ; $D _ { 4 }$ ; confidence 0.937
+
297. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797015.png ; $A = \sum _ { n \in Z } A _ { n }$ ; confidence 0.958
  
−
298. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640115.png ; $( K _ { V } ^ { 2 } ) > 0$ ; confidence 0.937
+
298. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110070/k11007036.png ; $L _ { ( p ^ { \nu } - 1 ) \rho }$ ; confidence 0.869
  
−
299. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022180/c02218013.png ; $r + 1$ ; confidence 0.937
+
299. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110070/k11007035.png ; $H ^ { 0 } ( G / B , L _ { \chi } )$ ; confidence 0.987
  
−
300. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590376.png ; $x _ { 0 } ^ { \mu - 1 } + x _ { 0 } x _ { 1 } ^ { 2 } + x _ { 2 } ^ { 2 } + \ldots + x _ { n } ^ { 2 } = 0$ ; confidence 0.937
+
300. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l058510237.png ; $a _ { j } = - 1 = \alpha _ { j }$ ; confidence 0.154

Latest revision as of 16:00, 26 October 2019

List

1. r077630105.png ; $\phi _ { 0 } , \ldots , \phi _ { d }$ ; confidence 0.604

2. r07763056.png ; $\phi \mapsto \delta _ { \phi }$ ; confidence 0.991

3. r07767030.png ; $\operatorname { Spin } ( n , f )$ ; confidence 0.730

4. e11007079.png ; $\operatorname { tar } K \neq 2$ ; confidence 0.417

5. r081030106.png ; $\Delta _ { 0 } \cup O _ { \gamma }$ ; confidence 0.951

6. s08302022.png ; $\lambda _ { 1 } \lambda _ { 2 } < 0$ ; confidence 0.984

7. s085590120.png ; $\{ c _ { k } \} _ { k = 0 } ^ { \infty }$ ; confidence 0.968

8. s085590559.png ; $\lambda _ { 1 } \lambda _ { 2 } > 0$ ; confidence 0.984

9. s08706026.png ; $Z ( R ) ( t _ { 1 } , \ldots , t _ { n } )$ ; confidence 0.615

10. s08708075.png ; $a \in \operatorname { cl } ( B )$ ; confidence 0.244

11. s08708055.png ; $I ( T , \lambda ) = 2 ^ { \lambda }$ ; confidence 0.982

12. s13054081.png ; $b = p ^ { \alpha } r , p ^ { \beta } s$ ; confidence 0.785

13. s13054032.png ; $x ( \alpha ) = x _ { 12 } ( \alpha )$ ; confidence 0.871

14. t130130117.png ; $K ^ { \hat { b } } ( P _ { \Lambda } )$ ; confidence 0.410

15. t09420035.png ; $: G \rightarrow \text { Aut } g$ ; confidence 0.304

16. u09540035.png ; $m _ { 1 } \geq \ldots \geq m _ { s }$ ; confidence 0.307

17. w0977105.png ; $W ( T , G ) = N _ { G } ( T ) / Z _ { G } ( T )$ ; confidence 0.997

18. a01145049.png ; $H ^ { 0 } ( X , \Omega _ { X } ^ { 1 } )$ ; confidence 0.957

19. a011450164.png ; $\operatorname { PGL } ( 1 , k )$ ; confidence 0.536

20. a01174022.png ; $\operatorname { PLG } ( N , k )$ ; confidence 0.882

21. a0122904.png ; $( x , y ) \rightarrow x y ^ { - 1 }$ ; confidence 0.988

22. a0125409.png ; $D = \operatorname { rank } G -$ ; confidence 0.848

23. a014170145.png ; $f ( k g \gamma ) = \rho ( k ) f ( g )$ ; confidence 0.990

24. c02057065.png ; $H ^ { p + 1 } ( X , S ) \rightarrow$ ; confidence 0.989

25. d030700233.png ; $K = \operatorname { Lie } ( V )$ ; confidence 0.654

26. d030700246.png ; $H ^ { 2 } ( \mathfrak { A } , V ) = 0$ ; confidence 0.903

27. d030700191.png ; $\kappa \rightarrow M X _ { 0 }$ ; confidence 0.615

28. d030700244.png ; $H ^ { 3 } ( \mathfrak { A } , V ) = 0$ ; confidence 0.867

29. d030700180.png ; $k [ [ t _ { 1 } , \ldots , t _ { m } ] ]$ ; confidence 0.468

30. d03183062.png ; $F \{ Y _ { 1 } , \ldots , Y _ { n } \}$ ; confidence 0.646

31. d031830335.png ; $R \{ y _ { 1 } , \ldots , y _ { n } \}$ ; confidence 0.522

32. d031830388.png ; $k \{ y _ { 1 } , \ldots , y _ { n } \}$ ; confidence 0.483

33. d03183038.png ; $a _ { m - 1 } ( p ) \leq \sum e _ { j }$ ; confidence 0.266

34. d03249019.png ; $F \{ Y _ { 1 } , \ldots , Y _ { n } \}$ ; confidence 0.507

35. d12024088.png ; $U ( \operatorname { si } ( n ) )$ ; confidence 0.660

36. d034120349.png ; $\Lambda _ { \zeta , r } \phi = 0$ ; confidence 0.362

37. d034120269.png ; $f _ { n } ( z ) \rightarrow f ( z )$ ; confidence 0.997

38. f040820136.png ; $[ a ] \gamma ( T ) = \gamma ( a T )$ ; confidence 0.599

39. f040820110.png ; $f _ { i } ( X ) = X _ { i } + \ldots$ ; confidence 0.733

40. f04082031.png ; $k [ [ X _ { 1 } , \ldots , X _ { 2 } ] ]$ ; confidence 0.591

41. h04741018.png ; $K = k ( t _ { 1 } , \ldots , t _ { n } )$ ; confidence 0.269

42. h04797061.png ; $\iota : \{ e \} \rightarrow G$ ; confidence 0.791

43. h047970116.png ; $m : A \otimes A \rightarrow A$ ; confidence 0.975

44. i05235066.png ; $A = k [ x _ { 1 } , \ldots , x _ { n } ]$ ; confidence 0.346

45. j05427090.png ; $\alpha . b = [ [ p , \alpha ] , b ]$ ; confidence 0.174

46. k11007030.png ; $H ^ { i } ( G / B , L _ { \chi } ) = ( 0 )$ ; confidence 0.973

47. l058510210.png ; $\operatorname { so } ( 2 n , C )$ ; confidence 0.570

48. l05848016.png ; $D [ p ] = D \circ \ldots \circ D$ ; confidence 0.534

49. l05859028.png ; $f : G _ { 1 } \rightarrow G _ { 2 }$ ; confidence 0.997

50. l058590188.png ; $f : U _ { 1 } \rightarrow U _ { 2 }$ ; confidence 0.997

51. l05861078.png ; $C ^ { \prime \prime } / \Gamma$ ; confidence 0.227

52. l058720125.png ; $K _ { x } = p ^ { 2 x - 1 } - \epsilon$ ; confidence 0.676

53. l05876011.png ; $g = ( g 1 , \ldots , g _ { v } ) \in G$ ; confidence 0.322

54. m064510123.png ; $\overline { M } \backslash M$ ; confidence 0.985

55. n066900122.png ; $( m , \phi ) \rightarrow \phi$ ; confidence 0.988

56. n06690020.png ; $H ^ { 1 } ( C ^ { * } ) = Z ^ { 1 } / \rho$ ; confidence 0.997

57. q076310139.png ; $R T _ { 1 } T _ { 2 } = T _ { 2 } T _ { 1 } R$ ; confidence 0.994

58. q07631012.png ; $S : A \rightarrow A \otimes A$ ; confidence 0.881

59. s085590353.png ; $f ( x _ { 0 } , \ldots , x _ { x } ) = 0$ ; confidence 0.481

60. s085590275.png ; $\phi _ { \alpha } ( \alpha ) = 0$ ; confidence 0.777

61. a012460117.png ; $\lambda _ { 1 } , \lambda _ { 2 }$ ; confidence 0.995

62. s085590224.png ; $f _ { \zeta } = f _ { \zeta } ( z ) =$ ; confidence 0.988

63. s085590229.png ; $L : [ 0,1 ] \rightarrow C ^ { n }$ ; confidence 0.960

64. s13053068.png ; $St = \sum _ { P } \pm 1 _ { F } ^ { G }$ ; confidence 0.250

65. s130540121.png ; $\langle \alpha , b \rangle =$ ; confidence 0.606

66. t1301404.png ; $q : Z ^ { Q _ { 0 } } \rightarrow Z$ ; confidence 0.321

67. u09540037.png ; $\mu = ( l _ { 1 } , \dots , l _ { t } )$ ; confidence 0.599

68. w120090131.png ; $\Delta ( \lambda ) ^ { \mu }$ ; confidence 1.000

69. w120090163.png ; $\Delta ( \lambda ) ^ { \perp }$ ; confidence 1.000

70. a01145063.png ; $g = \frac { ( m - 1 ) ( m - 2 ) } { 2 }$ ; confidence 0.997

71. a01152028.png ; $G _ { X } = \{ g \in G : g x = x \}$ ; confidence 0.901

72. a011640168.png ; $c _ { 1 } ^ { 2 } \leq 3 _ { c _ { 2 } }$ ; confidence 0.436

73. a01164014.png ; $| K _ { i } | = | i K _ { V ^ { J } } |$ ; confidence 0.620

74. a01164098.png ; $V \rightarrow V ^ { \prime }$ ; confidence 0.885

75. c02057060.png ; $\overline { \partial } f = g$ ; confidence 0.991

76. c02057061.png ; $\overline { \partial } g = 0$ ; confidence 0.994

77. d030700185.png ; $H ^ { 1 } ( X _ { 0 } , T _ { X _ { 0 } } )$ ; confidence 0.997

78. d030700294.png ; $D ; A \times I \rightarrow X$ ; confidence 0.570

79. d030700172.png ; $R ^ { \prime } \rightarrow R$ ; confidence 0.999

80. d030700271.png ; $\phi _ { i } : V \rightarrow V$ ; confidence 0.982

81. d031830274.png ; $\{ y _ { 1 } , \ldots , y _ { n } \}$ ; confidence 0.488

82. c02762019.png ; $\{ F _ { 1 } , \ldots , F _ { x } \}$ ; confidence 0.380

83. d0318302.png ; $F _ { 1 } = 0 , \ldots , F _ { k } = 0$ ; confidence 0.675

84. d031830158.png ; $t _ { 1 } , \ldots , t _ { x } \in U$ ; confidence 0.711

85. d0318303.png ; $\{ F _ { 1 } , \ldots , F _ { k } \}$ ; confidence 0.592

86. d031830166.png ; $( t _ { 1 } , \ldots , t _ { x } , u )$ ; confidence 0.560

87. e03696069.png ; $F _ { 0 } ( ( y _ { j } ) _ { j \in J } )$ ; confidence 0.696

88. f04055011.png ; $0 < n _ { 1 } < \ldots < n _ { k } < n$ ; confidence 0.591

89. f04055012.png ; $\nu _ { 0 } = ( 1 , \ldots , n - 1 )$ ; confidence 0.626

90. f04082055.png ; $Y = ( Y _ { 1 } , \ldots , Y _ { n } )$ ; confidence 0.803

91. f04082056.png ; $Z = ( Z _ { 1 } , \ldots , Z _ { n } )$ ; confidence 0.564

92. f04082073.png ; $Y = ( Y _ { 1 } , \ldots , Y _ { n } )$ ; confidence 0.746

93. f04082077.png ; $\phi _ { F } : L \rightarrow A$ ; confidence 0.998

94. f04082079.png ; $\phi _ { F } ^ { * } F _ { u } ( X , Y )$ ; confidence 0.861

95. a120260102.png ; $X = ( X _ { 1 } , \ldots , X _ { n } )$ ; confidence 0.523

96. f040820103.png ; $A \rightarrow A \otimes z Q$ ; confidence 0.438

97. h04741055.png ; $F ( c _ { 1 } , \dots , c _ { m } ) = 0$ ; confidence 0.136

98. h047690119.png ; $G = \operatorname { Sp } ( k )$ ; confidence 0.959

99. h047970119.png ; $\epsilon : A \rightarrow K$ ; confidence 0.927

100. l05851080.png ; $\beta - p \alpha \in \Sigma$ ; confidence 0.988

101. l058590122.png ; $x \rightarrow \text { ad } x$ ; confidence 0.661

102. l059250103.png ; $SK _ { 1 } = UL ( n , K ) / SL ( n , K )$ ; confidence 0.898

103. m06451036.png ; $\psi : M \rightarrow h _ { N }$ ; confidence 0.284

104. m06451030.png ; $\phi : M \rightarrow h _ { M }$ ; confidence 0.965

105. n06690086.png ; $\pi _ { 1 } ( M ) \rightarrow G$ ; confidence 0.999

106. n066900108.png ; $m : G \times G \rightarrow A$ ; confidence 0.437

107. o0700105.png ; $G _ { X } = \{ g \in G : g ( x ) = x \}$ ; confidence 0.597

108. p0726706.png ; $\operatorname { sch } / S$ ; confidence 0.616

109. q0763108.png ; $\epsilon : A \rightarrow k$ ; confidence 0.986

110. q07631081.png ; $H _ { i } \in \mathfrak { g }$ ; confidence 0.955

111. r0776706.png ; $T = R _ { L / K } ^ { ( 1 ) } ( G _ { m } )$ ; confidence 0.672

112. r08103045.png ; $\alpha \in \Phi _ { k } ( S , G )$ ; confidence 0.995

113. a0122105.png ; $x = ( x _ { 1 } , \ldots , x _ { n } )$ ; confidence 0.566

114. s085590631.png ; $( F _ { x } ^ { \prime } ) _ { 0 } = 0$ ; confidence 0.662

115. s085590441.png ; $C \{ x _ { 0 } , \dots , x _ { n } \}$ ; confidence 0.183

116. c02372033.png ; $( U ( \zeta , R ) , f _ { \zeta } )$ ; confidence 0.999

117. s085590632.png ; $( F _ { y } ^ { \prime } ) _ { 0 } = 0$ ; confidence 0.995

118. s085590457.png ; $\Phi _ { \mu } ( x , \lambda ) =$ ; confidence 0.997

119. s085590149.png ; $\operatorname { lim } f ( z )$ ; confidence 0.988

120. s085590254.png ; $\Gamma = \partial \hat { D }$ ; confidence 0.622

121. s085590460.png ; $f ( x , y ) = x ^ { \mu + 1 } - y ^ { 2 }$ ; confidence 1.000

122. s085590109.png ; $z = \phi ( t ) \in U ( \zeta , R )$ ; confidence 0.999

123. s08559052.png ; $( U ( \zeta , r ) , f _ { \zeta } )$ ; confidence 0.999

124. s08706030.png ; $\phi t _ { 1 } , \ldots , t _ { x }$ ; confidence 0.516

125. s13054064.png ; $\{ a , b \} = d a / a \wedge d b / b$ ; confidence 0.386

126. t130130112.png ; $T \in K ^ { b } ( P _ { \Lambda } )$ ; confidence 0.723

127. t130130102.png ; $pd _ { \Lambda } T = n < \infty$ ; confidence 0.509

128. a11022031.png ; $\{ e _ { 1 } , \ldots , e _ { x } \}$ ; confidence 0.340

129. t130140105.png ; $z , j = | L \cap e _ { j } | e _ { i } |$ ; confidence 0.398

130. w120090105.png ; $K \mathfrak { S } _ { \gamma }$ ; confidence 0.475

131. a011450219.png ; $| N - q - 1 | \leq 2 g \sqrt { q }$ ; confidence 0.983

132. a011450104.png ; $\operatorname { deg } D = n$ ; confidence 0.999

133. a01145039.png ; $\operatorname { Pic } ( X )$ ; confidence 0.908

134. a01150037.png ; $m = ( m _ { 1 } , \dots , m _ { p } )$ ; confidence 0.458

135. a0115305.png ; $f ( x _ { 1 } , \ldots , x _ { x } )$ ; confidence 0.540

136. a0115303.png ; $b _ { 1 } , \dots , b _ { p } \in K$ ; confidence 0.520

137. a01153012.png ; $P ( x _ { 1 } , \ldots , x _ { x } )$ ; confidence 0.453

138. a0125406.png ; $D = [ Z _ { G } ( S ) , Z _ { G } ( S ) ]$ ; confidence 0.997

139. a01417090.png ; $C ( f _ { 1 } , \ldots , f _ { n } )$ ; confidence 0.262

140. c0233305.png ; $g ( \phi ( x ) ) = \phi ( g ( x ) )$ ; confidence 0.999

141. d03070044.png ; $\Theta = \Theta _ { X _ { 0 } }$ ; confidence 0.770

142. d030700243.png ; $H ^ { 2 } ( \mathfrak { A } , V )$ ; confidence 0.405

143. d030700235.png ; $\operatorname { dim } V = n$ ; confidence 0.990

144. d030700174.png ; $D _ { X _ { 0 } } ( R ^ { \prime } )$ ; confidence 0.369

145. d03070057.png ; $H ^ { 1 } ( X _ { 0 } , \Theta ) = 0$ ; confidence 0.660

146. d030700203.png ; $p ^ { - 1 } ( M x _ { 0 } , \alpha )$ ; confidence 0.424

147. d031830260.png ; $\partial _ { i } I \subset I$ ; confidence 0.998

148. d031830331.png ; $\Sigma \cap R = \emptyset$ ; confidence 0.760

149. d031830222.png ; $F \subset F _ { 1 } \subset G$ ; confidence 0.998

150. d031830334.png ; $\Sigma \backslash \{ F \}$ ; confidence 0.995

151. d034120193.png ; $H ^ { n - p } ( X , O _ { X } ( K - D ) )$ ; confidence 0.900

152. d034120410.png ; $G = ( ( F , \tau ) ) ^ { \prime }$ ; confidence 0.999

153. d034120353.png ; $F ( z , \zeta ) = e ^ { z \zeta }$ ; confidence 0.983

154. f0405509.png ; $\nu = ( n 1 , \ldots , n _ { k } )$ ; confidence 0.497

155. f040820167.png ; $F _ { \pi } ( \overline { m } )$ ; confidence 0.977

156. f04082012.png ; $\operatorname { nil } ( B )$ ; confidence 0.706

157. f04082089.png ; $\operatorname { dim } F = n$ ; confidence 0.991

158. f04082021.png ; $B _ { 1 } \rightarrow B _ { 2 }$ ; confidence 0.997

159. f04082090.png ; $\operatorname { dim } G = m$ ; confidence 0.989

160. g13002030.png ; $K [ f _ { 1 } , \ldots , f _ { d } ]$ ; confidence 0.506

161. h04694014.png ; $k [ X _ { 1 } , \ldots , X _ { x } ]$ ; confidence 0.338

162. h0476903.png ; $( g _ { 0 } x ) \rightarrow g x$ ; confidence 0.497

163. h047690124.png ; $\operatorname { pin } ( 9 )$ ; confidence 0.966

164. i05235045.png ; $k [ x _ { 1 } , \ldots , x _ { y } ]$ ; confidence 0.240

165. i05235058.png ; $P ( t _ { 1 } , \ldots , t _ { m } )$ ; confidence 0.738

166. i05306039.png ; $( k , a , n ) \rightarrow k a n$ ; confidence 0.826

167. l05851053.png ; $\alpha , \beta \in \Sigma$ ; confidence 0.986

168. c0206907.png ; $90 \subset \mathfrak { g }$ ; confidence 0.492

169. l05851077.png ; $( \alpha \in \Sigma _ { + } )$ ; confidence 0.647

170. c021620134.png ; $n = \operatorname { dim } V$ ; confidence 0.482

171. l05852044.png ; $\operatorname { tim } V = 1$ ; confidence 0.842

172. l058590142.png ; $B \times E \rightarrow B E$ ; confidence 0.998

173. g04447024.png ; $\operatorname { Int } ( g )$ ; confidence 0.592

174. l05861062.png ; $\operatorname { pin } ( n )$ ; confidence 0.992

175. l05861035.png ; $( [ x , y ] , z ) + ( y , [ x , z ] ) = 0$ ; confidence 0.999

176. l05868099.png ; $G _ { 0 } / L ( \mathfrak { g } )$ ; confidence 0.825

177. l05868065.png ; $\Gamma _ { 1 } / \Gamma _ { 0 }$ ; confidence 0.917

178. l058720133.png ; $[ X _ { 1 } , \ldots , X _ { W } ] ]$ ; confidence 0.420

179. m06451091.png ; $\operatorname { Pic } X / S$ ; confidence 0.826

180. n06690029.png ; $C ^ { i } ( \mathfrak { U } , F )$ ; confidence 0.935

181. o07001020.png ; $G _ { g } ( x ) = g G _ { x } g ^ { - 1 }$ ; confidence 0.775

182. o0700104.png ; $G ( x ) = \{ g ( x ) : g \in G \}$ ; confidence 0.999

183. o070010102.png ; $X _ { ( H ) } = \{ x \in X : G _ { X }$ ; confidence 0.371

184. p07472038.png ; $\operatorname { Pic } ( S )$ ; confidence 0.837

185. q07631019.png ; $( A , \Delta , \epsilon , S )$ ; confidence 0.994

186. q07631094.png ; $( \square _ { k } ^ { x } ) _ { q }$ ; confidence 0.158

187. r07763067.png ; $k [ G ] - w _ { 0 } ( \chi ) \neq 0$ ; confidence 0.507

188. r07764058.png ; $X = C ^ { 2 } / G \subset C ^ { 3 }$ ; confidence 0.982

189. r07764092.png ; $\operatorname { dim } X = 2$ ; confidence 0.997

190. s13004016.png ; $\Gamma \backslash H ^ { * }$ ; confidence 0.997

191. s085590343.png ; $\pi _ { 1 } ( S \backslash D )$ ; confidence 0.983

192. s085590386.png ; $H _ { n } ( X _ { \epsilon } , R )$ ; confidence 0.964

193. s085590350.png ; $X _ { S } \rightarrow X _ { S }$ ; confidence 0.939

194. s085590449.png ; $F : C ^ { n + 2 } \rightarrow C$ ; confidence 0.512

195. s085590402.png ; $y = \sum _ { i \geq n } a _ { i } t$ ; confidence 0.881

196. s08559028.png ; $L _ { 2 } : z = \phi _ { 2 } ( t )$ ; confidence 0.995

197. s085590362.png ; $H _ { n } ( X _ { \epsilon } , Z )$ ; confidence 0.941

198. s0870606.png ; $R [ t _ { 1 } , \ldots , t _ { x } ]$ ; confidence 0.576

199. s08706032.png ; $R ( t _ { 1 } , \ldots , t _ { x } )$ ; confidence 0.280

200. t13013032.png ; $y = \operatorname { Sub } T$ ; confidence 0.371

201. t130140151.png ; $\operatorname { prin } K l$ ; confidence 0.500

202. b130290148.png ; $\operatorname { dim } A = 1$ ; confidence 0.998

203. w09771049.png ; $X ( T _ { 0 } / Z ( G ) ^ { 0 } ) _ { Q }$ ; confidence 0.799

204. w120090231.png ; $d \frac { G } { B } ( \lambda )$ ; confidence 0.412

205. w120090389.png ; $\nabla ( \lambda ) = M _ { K }$ ; confidence 0.735

206. w120090364.png ; $\Lambda ( V ) \neq \Lambda$ ; confidence 0.996

207. a01150084.png ; $\int \int R ( x , y , z ) d x d y$ ; confidence 0.999

208. a01165072.png ; $G \times G \rightarrow G$ ; confidence 0.991

209. a014170130.png ; $X \times V \rightarrow X$ ; confidence 0.986

210. a12015047.png ; $\operatorname { ad } X$ ; confidence 0.415

211. c02057029.png ; $( k _ { 1 } , \ldots , k _ { r } )$ ; confidence 0.512

212. c02057025.png ; $\Lambda ( h _ { i } ) = k _ { i }$ ; confidence 0.674

213. c02593096.png ; $k _ { i } = \Lambda ( h _ { i } )$ ; confidence 0.970

214. d030700134.png ; $p : \kappa \rightarrow O$ ; confidence 0.794

215. d031830120.png ; $A _ { 1 } , \ldots , A _ { m } - l$ ; confidence 0.471

216. d03183078.png ; $[ Y _ { 1 } , \ldots , Y _ { n } ]$ ; confidence 0.787

217. d031830342.png ; $k \in N = \{ 1,2 , \ldots \}$ ; confidence 0.388

218. d034120120.png ; $H _ { n - r } ( M ^ { n } , X ^ { * } )$ ; confidence 0.980

219. d034120475.png ; $\sigma ( F , F ^ { \prime } )$ ; confidence 1.000

220. d034120279.png ; $\cup _ { G \in O ^ { F } } A ( G )$ ; confidence 0.518

221. e03696035.png ; $( \alpha _ { i } ) _ { i \in I }$ ; confidence 0.994

222. e03696087.png ; $\eta = ( n _ { j } ) _ { j \in J }$ ; confidence 0.924

223. f040820177.png ; $[ n ] ( X ) = F ( X , [ n - 1 ] ( X ) )$ ; confidence 0.996

224. f04082098.png ; $\alpha _ { i } ( Z ) = Z _ { i } +$ ; confidence 0.777

225. h04741050.png ; $F , F _ { 1 } , \ldots , F _ { m }$ ; confidence 0.556

226. h04741052.png ; $F ( X _ { 1 } , \dots , X _ { p } )$ ; confidence 0.131

227. h04770012.png ; $\psi : G / H \rightarrow X$ ; confidence 0.991

228. h04770018.png ; $\psi : G / H \rightarrow M$ ; confidence 0.999

229. h047970126.png ; $( A , m , e , \mu , \epsilon )$ ; confidence 0.985

230. j05427026.png ; $C \mapsto \overline { C }$ ; confidence 0.147

231. c120010201.png ; $C ^ { \prime } D ^ { \prime }$ ; confidence 0.060

232. l05851075.png ; $N _ { \alpha , \beta } \in k$ ; confidence 0.824

233. l05851046.png ; $\alpha ( H _ { \alpha } ) = 2$ ; confidence 0.980

234. l05852016.png ; $g _ { m } ^ { \prime } = \{ 0 \}$ ; confidence 0.584

235. l058590104.png ; $L ( G / H ) \cong L ( G ) / L ( H )$ ; confidence 0.998

236. l05861085.png ; $\Gamma = g ( \Gamma _ { 1 } )$ ; confidence 0.999

237. l05868040.png ; $\Gamma _ { 1 } / \Gamma ( G )$ ; confidence 0.995

238. m06451039.png ; $A / R = \mathfrak { M } _ { g }$ ; confidence 0.608

239. m06451084.png ; $( X / S , \mathfrak { P } / S )$ ; confidence 0.702

240. b1204003.png ; $G \times E \rightarrow E$ ; confidence 0.988

241. q07631041.png ; $( i _ { 1 } , \ldots , i _ { n } )$ ; confidence 0.577

242. q07631040.png ; $l ( i _ { 1 } , \dots , i _ { n } )$ ; confidence 0.574

243. r07764045.png ; $x y ^ { 2 } + x ^ { x + 1 } + z ^ { 2 }$ ; confidence 0.625

244. r08103021.png ; $W _ { k } ( S , G ) = N ( S ) / Z ( S )$ ; confidence 0.997

245. s13004020.png ; $\operatorname { Im } z > 1$ ; confidence 0.805

246. c02372062.png ; $D \subset \overline { C }$ ; confidence 0.954

247. s085590510.png ; $x _ { 0 } \in G \backslash H$ ; confidence 0.939

248. s085590596.png ; $\frac { d w } { d z } = P ( z , w )$ ; confidence 0.892

249. h04852017.png ; $A _ { k } ^ { \prime \prime }$ ; confidence 0.329

250. s08590036.png ; $d g _ { 1 } , \ldots , d g _ { r }$ ; confidence 0.437

251. s08708063.png ; $\phi ( x ; \overline { y } )$ ; confidence 0.574

252. s08708085.png ; $I ( T , \aleph _ { \alpha } )$ ; confidence 0.995

253. s13053084.png ; $n = a _ { 1 } + \ldots + a _ { s }$ ; confidence 0.232

254. s130540102.png ; $( \infty \times \infty )$ ; confidence 1.000

255. t1301307.png ; $p \cdot d i m _ { \Lambda } T$ ; confidence 0.114

256. t13014089.png ; $Q _ { 0 } = \{ 1 , \ldots , n \}$ ; confidence 0.811

257. t130140102.png ; $q R : Z ^ { n } \rightarrow Z$ ; confidence 0.761

258. t13014079.png ; $q g : Z ^ { n } \rightarrow Z$ ; confidence 0.220

259. a01043023.png ; $t \rightarrow \infty$ ; confidence 0.998

260. w120090278.png ; $\Lambda \supseteq \Phi$ ; confidence 0.935

261. w120090401.png ; $d _ { \lambda \lambda } = 1$ ; confidence 0.780

262. w120090346.png ; $U _ { K } = K \otimes z U _ { Z }$ ; confidence 0.445

263. w120090189.png ; $d _ { K B } ^ { K G } ( \lambda )$ ; confidence 0.599

264. w120090370.png ; $\lambda \in \Delta ^ { + }$ ; confidence 0.542

265. w120090385.png ; $W ( \lambda ) ^ { \lambda }$ ; confidence 0.999

266. a01150080.png ; $f : X \rightarrow P ^ { 1 }$ ; confidence 0.998

267. a01150072.png ; $f : P ^ { 2 } \rightarrow X$ ; confidence 0.995

268. a011640145.png ; $\omega = M - M ^ { \prime }$ ; confidence 1.000

269. c02055054.png ; $t = \overline { t } \cap g$ ; confidence 0.361

270. c02333043.png ; $k [ Y ] \rightarrow k [ X ]$ ; confidence 0.996

271. d03070076.png ; $H ^ { 1 } ( X , O _ { Ad } _ { E } )$ ; confidence 0.654

272. d030700312.png ; $i : X _ { 1 } \rightarrow X$ ; confidence 0.958

273. d030700313.png ; $r : X \rightarrow X _ { 1 }$ ; confidence 0.982

274. d030700138.png ; $O \rightarrow \Lambda$ ; confidence 0.985

275. d031830168.png ; $( 0 , \ldots , 0 , \alpha )$ ; confidence 0.745

276. d031830381.png ; $\partial A / \partial v$ ; confidence 0.721

277. d03412095.png ; $H ^ { \gamma } ( R , X ^ { * } )$ ; confidence 0.462

278. d034120495.png ; $\beta ( X ^ { \prime } , X )$ ; confidence 1.000

279. d034120139.png ; $H ^ { n - \gamma - 1 } ( B , X )$ ; confidence 0.953

280. d034120382.png ; $\phi ^ { * } ( z ) \in E ^ { 1 }$ ; confidence 0.997

281. d034120221.png ; $H _ { \gamma } ^ { p } ( X , F )$ ; confidence 0.568

282. d034120178.png ; $H _ { c } ^ { n } ( X , \Omega )$ ; confidence 0.942

283. d034120563.png ; $f _ { 0 } ( x ) \rightarrow$ ; confidence 0.953

284. d034120290.png ; $G _ { x } + 1 \subset G _ { x }$ ; confidence 0.345

285. d034120485.png ; $( F , \tau ) ^ { \prime } = G$ ; confidence 0.999

286. e03696065.png ; $y _ { j } \delta \theta$ ; confidence 0.866

287. e036960139.png ; $\delta _ { i } \in \Delta$ ; confidence 0.998

288. e036960209.png ; $( G / F ) \approx GL ( n , K )$ ; confidence 0.527

289. f04082083.png ; $F _ { u } ^ { \prime } ( X , Y )$ ; confidence 0.784

290. f04082071.png ; $F _ { u } ( X , Y ) \in L [ X , Y ]$ ; confidence 0.850

291. h04741053.png ; $( c _ { 1 } , \dots , c _ { r } )$ ; confidence 0.502

292. h047410125.png ; $H ^ { 1 } ( X _ { et } , G _ { m } )$ ; confidence 0.738

293. h04770010.png ; $\pi : G \rightarrow G / H$ ; confidence 0.825

294. h047970128.png ; $\iota : A \rightarrow A$ ; confidence 0.555

295. h0479704.png ; $\iota : K \rightarrow A$ ; confidence 0.629

296. h04797062.png ; $p : G \rightarrow \{ e \}$ ; confidence 0.978

297. h04797015.png ; $A = \sum _ { n \in Z } A _ { n }$ ; confidence 0.958

298. k11007036.png ; $L _ { ( p ^ { \nu } - 1 ) \rho }$ ; confidence 0.869

299. k11007035.png ; $H ^ { 0 } ( G / B , L _ { \chi } )$ ; confidence 0.987

300. l058510237.png ; $a _ { j } = - 1 = \alpha _ { j }$ ; confidence 0.154

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/Algebraic Groups/4. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/Algebraic_Groups/4&oldid=44079
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