Namespaces
Variants
Actions

Difference between revisions of "User:Maximilian Janisch/latexlist/latex/NoNroff/71"

From Encyclopedia of Mathematics
Jump to: navigation, search
(AUTOMATIC EDIT of page 71 out of 77 with 300 lines: Updated image/latex database (currently 22833 images latexified; order by Length, ascending: False.)
 
(AUTOMATIC EDIT of page 71 out of 77 with 300 lines: Updated image/latex database (currently 22833 images latexified; order by Confidence, ascending: False.)
Line 1: Line 1:
 
== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022660/c022660332.png ; $M ( f )$ ; confidence 0.961
+
1. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f12011052.png ; $\chi _ { F } ( z )$ ; confidence 0.238
  
2. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121087.png ; $q ( z )$ ; confidence 0.973
+
2. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081044.png ; $1$ ; confidence 0.238
  
3. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130030/h13003069.png ; $t ( z )$ ; confidence 0.987
+
3. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130090/f13009084.png ; $n = k r , k r + 1 , \dots$ ; confidence 0.238
  
4. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021014.png ; $p ( z )$ ; confidence 1.000
+
4. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130530/s13053080.png ; $r _ { f }$ ; confidence 0.238
  
5. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130030/h13003027.png ; $r ( z )$ ; confidence 0.999
+
5. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120080/w12008017.png ; $f ( q , p ) , g ( q , p ) \in S ( R ^ { 2 n } )$ ; confidence 0.238
  
6. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130050/h13005023.png ; $a ( k )$ ; confidence 0.976
+
6. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o13001042.png ; $f ( x ) = \frac { 1 } { ( 2 \pi ) ^ { 3 / 2 } } \int _ { R ^ { 3 } } \hat { f } ( \xi ) u ( x , \xi ) d \xi , \xi : = k$ ; confidence 0.238
  
7. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130050/h13005024.png ; $b ( k )$ ; confidence 0.996
+
7. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130130/z13013015.png ; $r \leq r D$ ; confidence 0.238
  
8. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130050/h13005029.png ; $S ( 0 )$ ; confidence 0.987
+
8. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s12034026.png ; $SH ^ { k } ( M , \omega , \phi _ { 1 } ) \otimes SH ^ { k } ( M , \omega , \phi _ { 2 } ) \rightarrow SH ^ { k } ( M , \omega , \phi _ { 2 } . \phi _ { 1 } )$ ; confidence 0.238
  
9. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120050/h12005013.png ; $4,74$ ; confidence 0.143
+
9. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m130140139.png ; $f ( z ) = ( L f ) ( z ) = ( L _ { f , n } f ) ( z ) =$ ; confidence 0.238
  
10. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a01130054.png ; $M ( k )$ ; confidence 0.977
+
10. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110580/a110580133.png ; $20$ ; confidence 0.237
  
11. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130070/h13007052.png ; $D + r D$ ; confidence 0.999
+
11. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031790/d03179058.png ; $K ^ { X }$ ; confidence 0.237
  
12. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130070/h13007050.png ; $h < r D$ ; confidence 0.988
+
12. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120130/l12013082.png ; $f _ { 1 } , \dots , f _ { m } \in Z [ X _ { 1 } , \dots , X _ { n } ]$ ; confidence 0.237
  
13. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120070/h120070109.png ; $n = 3 ?$ ; confidence 0.999
+
13. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120020/c1200206.png ; $u _ { t } ( x ) = t ^ { - \gamma } u ( x / t )$ ; confidence 0.237
  
14. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030690/d0306905.png ; $\phi$ ; confidence 0.735
+
14. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130260/b13026098.png ; $H _ { N } ( S ^ { x } )$ ; confidence 0.237
  
15. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037010/e03701037.png ; $T ( A )$ ; confidence 1.000
+
15. https://www.encyclopediaofmath.org/legacyimages/z/z120/z120010/z12001092.png ; $c = \operatorname { ad } e _ { - 1 } ^ { p ^ { m } - 1 } ( e _ { p ^ { m } - 2 } ^ { ( p + 1 ) / 2 } )$ ; confidence 0.237
  
16. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h120120160.png ; $\tau$ ; confidence 0.262
+
16. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110140/c11014018.png ; $a _ { 1 } , \dots , a _ { m }$ ; confidence 0.237
  
17. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h120120101.png ; $B ( A )$ ; confidence 0.997
+
17. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021450/c0214503.png ; $P$ ; confidence 0.237
  
18. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h120120121.png ; $H ( A )$ ; confidence 0.961
+
18. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008023.png ; $\alpha ( u , v ) = \int _ { \Omega } [ \sum _ { i , j = 1 } ^ { m } \alpha _ { i , j } \frac { \partial u } { \partial x _ { i } } \frac { \partial \sigma } { \partial x _ { j } } + c ( x ) u v ] d x$ ; confidence 0.237
  
19. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h120120114.png ; $T ( . )$ ; confidence 0.898
+
19. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013020.png ; $0.00$ ; confidence 0.237
  
20. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h120120146.png ; $H ( Y )$ ; confidence 0.984
+
20. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i13003069.png ; $P _ { i }$ ; confidence 0.237
  
21. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110150/f11015085.png ; $S ( A )$ ; confidence 0.978
+
21. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020044.png ; $\alpha _ { \xi j } = 0$ ; confidence 0.237
  
22. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130130/h13013010.png ; $r j > 0$ ; confidence 0.493
+
22. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180268.png ; $S ^ { 2 } E \subset \otimes ^ { * } E$ ; confidence 0.237
  
23. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a011370138.png ; $R ( X )$ ; confidence 0.996
+
23. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120140/p12014011.png ; $a _ { x } = \lambda \theta ^ { x } + \epsilon _ { y }$ ; confidence 0.237
  
24. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120010/i12001013.png ; $k p > n$ ; confidence 0.997
+
24. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055080/k05508015.png ; $h = \sum _ { \mu , \nu } h _ { \mu \nu } ( z ) d z _ { \mu } \bigotimes d z _ { \nu }$ ; confidence 0.237
  
25. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130010/i13001058.png ; $n < 15$ ; confidence 0.651
+
25. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520495.png ; $P \in Z ^ { l }$ ; confidence 0.237
  
26. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i13003040.png ; $g ( P )$ ; confidence 0.950
+
26. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013000/a013000103.png ; $C ^ { 1 }$ ; confidence 0.237
  
27. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i130030135.png ; $^ { c }$ ; confidence 0.590
+
27. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c12017099.png ; $Z ^ { n + k + 1 } = \sum _ { \alpha j } Z ^ { i } Z ^ { j + k }$ ; confidence 0.237
  
28. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016950/b01695087.png ; $R ( G )$ ; confidence 0.941
+
28. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021110/c0211101.png ; $H ^ { n } ( X ; G ) = \operatorname { lim } _ { \square } H ^ { n } ( \alpha ; G )$ ; confidence 0.237
  
29. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120040/i12004055.png ; $K ( s )$ ; confidence 0.992
+
29. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130100/l13010037.png ; $f _ { s t } ( x )$ ; confidence 0.237
  
30. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120060/i1200607.png ; $x < p y$ ; confidence 0.929
+
30. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120220/s12022036.png ; $\sum _ { k = 0 } ^ { \infty } \operatorname { exp } ( - \lambda _ { j } t ) \sim ( 4 \pi t ) ^ { - \operatorname { dim } ( M ) / 2 } \sum _ { k = 0 } ^ { \infty } \alpha _ { k } t ^ { k }$ ; confidence 0.237
  
31. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120060/i12006051.png ; $C ( P )$ ; confidence 0.981
+
31. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130650/s13065045.png ; $F _ { \mu } ( z ) = \frac { 1 } { 2 \pi } \int _ { - \pi } ^ { \pi } R ( e ^ { i \theta } , z ) d \mu ( \theta )$ ; confidence 0.237
  
32. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121065.png ; $q ( x )$ ; confidence 0.994
+
32. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b12021033.png ; $+ \sum _ { 1 \leq i < j \leq k } ( - 1 ) ^ { i + j } X \otimes [ X , X _ { j } ] \wedge$ ; confidence 0.236
  
33. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i13005011.png ; $k j > 0$ ; confidence 0.570
+
33. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110160/f110160167.png ; $\psi _ { \mathfrak { A } } ^ { l }$ ; confidence 0.236
  
34. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i1300505.png ; $r ( k )$ ; confidence 0.999
+
34. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030290/d03029016.png ; $E _ { n } ( f ) = \operatorname { inf } _ { \varepsilon _ { k } } \operatorname { sup } _ { x \in Q } | f ( x ) - \sum _ { k = 0 } ^ { n } c _ { k } s _ { k } ( x ) | \geq$ ; confidence 0.236
  
35. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i1300506.png ; $t ( k )$ ; confidence 0.890
+
35. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z13011058.png ; $R _ { n } \stackrel { \omega } { \rightarrow } R \text { and } \operatorname { lim } _ { \varepsilon \rightarrow 0 } \operatorname { sup } _ { n } \int _ { 0 } ^ { \varepsilon } z R _ { n } ( d z ) = 0$ ; confidence 0.236
  
36. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i13005046.png ; $k = i k$ ; confidence 0.629
+
36. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e13003059.png ; $C ^ { \prime }$ ; confidence 0.236
  
37. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130060/i130060126.png ; $S ( k )$ ; confidence 0.974
+
37. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130070/e13007076.png ; $S \ll ( T / N ) ^ { p } N ^ { Y }$ ; confidence 0.236
  
38. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130060/i130060107.png ; $f ( k )$ ; confidence 0.993
+
38. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s12023050.png ; $\frac { \Gamma _ { p } [ \frac { \delta + n + p - 1 } { 2 } ] } { ( 2 \pi ) ^ { n } p / 2 | \Sigma | ^ { n / 2 } \Gamma _ { p } [ \frac { \delta + p - 1 } { 2 } ] }$ ; confidence 0.236
  
39. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130060/i130060179.png ; $x = 2 a$ ; confidence 0.983
+
39. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t130140178.png ; $| I _ { C }$ ; confidence 0.236
  
40. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130060/i13006060.png ; $r = 2 J$ ; confidence 0.381
+
40. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120070/t12007056.png ; $\operatorname { Tr } ( g | V _ { N } ) = \alpha _ { N } ( g )$ ; confidence 0.236
  
41. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120080/i12008020.png ; $( A B )$ ; confidence 0.999
+
41. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080122.png ; $T _ { n } = T _ { n } T _ { 1 } ^ { - 1 } , \hat { u } _ { k } = T _ { 1 } ^ { k } u _ { k }$ ; confidence 0.236
  
42. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120080/i12008047.png ; $m s$ ; confidence 0.683
+
42. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120090/m12009043.png ; $( P ( D ) ( \phi ) ) _ { \Delta } ( \xi ) = P ( \xi ) \hat { \phi } ( \xi )$ ; confidence 0.235
  
43. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i13009078.png ; $P ( T )$ ; confidence 0.999
+
43. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240370.png ; $2$ ; confidence 0.235
  
44. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120010/j12001029.png ; $F ( i )$ ; confidence 0.935
+
44. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110226.png ; $S _ { 1 } ^ { 0 }$ ; confidence 0.235
  
45. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120010/j12001034.png ; $C [ F ]$ ; confidence 0.905
+
45. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120070/t12007092.png ; $\sum _ { i > 0 } \left( \begin{array} { c } { m } \\ { i } \end{array} \right) ( u _ { Y } + i v ) _ { m + n - i } w =$ ; confidence 0.235
  
46. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120010/j12001033.png ; $C [ X ]$ ; confidence 0.766
+
46. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016550/b01655026.png ; $\lambda _ { y }$ ; confidence 0.235
  
47. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130010/j13001033.png ; $D f , 1$ ; confidence 0.676
+
47. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f1201106.png ; $P \overline { x } ^ { \delta }$ ; confidence 0.235
  
48. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130010/j13001034.png ; $D f , 2$ ; confidence 0.625
+
48. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120260/d12026021.png ; $\xi _ { x , k }$ ; confidence 0.234
  
49. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130010/j13001039.png ; $| f | +$ ; confidence 0.767
+
49. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054016.png ; $x _ { i j } ( a ) x _ { j } ( b ) = x _ { i j } ( a + b )$ ; confidence 0.234
  
50. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130020/j13002054.png ; $1100$ ; confidence 0.799
+
50. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130130/m13013025.png ; $i j$ ; confidence 0.234
  
51. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130020/j13002052.png ; $9970$ ; confidence 0.343
+
51. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110340/b11034011.png ; $e ^ { 2 } \pi$ ; confidence 0.234
  
52. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j13004089.png ; $n - = 0$ ; confidence 0.608
+
52. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520441.png ; $\dot { u } _ { i } = \tilde { \psi } _ { i } ( U ) + \tilde { \phi } _ { i } ( U ) , \quad i = 1 , \ldots , n$ ; confidence 0.234
  
53. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j13004080.png ; $s ( L )$ ; confidence 0.999
+
53. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040163.png ; $\langle A , F \rangle$ ; confidence 0.234
  
54. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110010/k11001031.png ; $J Z = 0$ ; confidence 0.976
+
54. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120050/l1200505.png ; $R e$ ; confidence 0.234
  
55. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120110/k12011010.png ; $y = t 2$ ; confidence 0.892
+
55. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120130/b12013057.png ; $L _ { i j } ^ { p } ( G ) = L _ { i j } ^ { p }$ ; confidence 0.234
  
56. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130010/k13001044.png ; $c ( D )$ ; confidence 0.776
+
56. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130070/h13007034.png ; $\alpha _ { i } \in \hat { k }$ ; confidence 0.234
  
57. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016430/b01643030.png ; $x = - 1$ ; confidence 0.999
+
57. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n06663037.png ; $H _ { p } ^ { \prime } ( M _ { 1 } , \dots , M _ { n } ; \Omega )$ ; confidence 0.233
  
58. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120070/k1200703.png ; $L ( V )$ ; confidence 0.993
+
58. https://www.encyclopediaofmath.org/legacyimages/x/x120/x120010/x12001040.png ; $G _ { \text { inn } } = G \cap \operatorname { ln } n ( R )$ ; confidence 0.233
  
59. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130020/k13002083.png ; $F X , Y$ ; confidence 0.682
+
59. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060040/l0600404.png ; $| r _ { 1 } | \geq \ldots \gg | r _ { N } |$ ; confidence 0.233
  
60. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120100/k12010070.png ; $Z ( K )$ ; confidence 0.765
+
60. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130230/b1302309.png ; $H _ { x } + 1$ ; confidence 0.233
  
61. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120100/k1201007.png ; $Z ( K )$ ; confidence 0.986
+
61. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120200/s12020023.png ; $\left. \begin{array} { l l l l l l l l l } { 1 } & { 2 } & { 3 } & { 4 } & { } & { 9 } & { 2 } & { 3 } & { 6 } \\ { 5 } & { 6 } & { 7 } & { \square } & { \text { and } } & { 7 } & { 1 } & { 4 } & { \square } \\ { 8 } & { \square } & { \square } & { \square } & { } & { 5 } & { \square } & { \square } & { \square } \\ { 9 } & { \square } & { \square } & { \square } & { } & { 8 } & { \square } & { \square } \end{array} \right.$ ; confidence 0.233
  
62. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840259.png ; $c ( A )$ ; confidence 1.000
+
62. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a01130023.png ; $\overline { M }$ ; confidence 0.233
  
63. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840328.png ; $U ( T )$ ; confidence 0.998
+
63. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840365.png ; $K = C ^ { 2 n }$ ; confidence 0.233
  
64. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130070/k13007056.png ; $S ( k )$ ; confidence 0.880
+
64. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g13006039.png ; $| x _ { i } | = \operatorname { max } _ { 1 \leq j \leq n } | x _ { j } |$ ; confidence 0.233
  
65. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130070/k13007047.png ; $1.12$ ; confidence 0.645
+
65. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c12021020.png ; $P _ { N } \approx P _ { N } ^ { \prime }$ ; confidence 0.233
  
66. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130070/k13007012.png ; $k = n q$ ; confidence 0.888
+
66. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120200/l1202008.png ; $\cup _ { i = 1 } ^ { m } A _ { i } \cup ( - A _ { i } ) = S ^ { x }$ ; confidence 0.233
  
67. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120020/k1200205.png ; $p ( m )$ ; confidence 0.536
+
67. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130590/s13059038.png ; $P _ { n } = M [ \frac { Q _ { n } ( t ) - Q _ { n } ( z ) } { t - z } ] , n = 0,1 ,$ ; confidence 0.233
  
68. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120020/k12002011.png ; $( - 2 )$ ; confidence 1.000
+
68. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130100/b13010043.png ; $L _ { i k } ^ { 2 } ( D )$ ; confidence 0.232
  
69. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055070/k05507079.png ; $d = 10$ ; confidence 0.999
+
69. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020225.png ; $\delta ^ { * } : H ^ { n } ( \Gamma _ { S ^ { n } } ) \rightarrow H ^ { n + 1 } ( \Gamma _ { D \square ^ { n + 1 } } , \Gamma _ { S ^ { n } } )$ ; confidence 0.232
  
70. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110400/c11040014.png ; $C ( G )$ ; confidence 0.759
+
70. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o13006067.png ; $H = \sqrt { k _ { 1 } } , k _ { 2 } = 0 A _ { 1 } ^ { k _ { 1 } } A _ { 2 } ^ { k _ { 2 } } \Phi ^ { * } E$ ; confidence 0.232
  
71. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110020/l11002028.png ; $C [ R ]$ ; confidence 0.894
+
71. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130070/p13007051.png ; $\iota _ { \partial D } = f$ ; confidence 0.232
  
72. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110030/l11003066.png ; $M ( E )$ ; confidence 0.926
+
72. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130530/s13053084.png ; $n = a _ { 1 } + \ldots + a _ { s }$ ; confidence 0.232
  
73. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110030/l11003048.png ; $L ( E )$ ; confidence 0.977
+
73. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b12043040.png ; $\Delta x = x \otimes 1 + 1 \varnothing x$ ; confidence 0.232
  
74. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l05700070.png ; $F X = X$ ; confidence 0.996
+
74. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018064.png ; $\| g _ { \operatorname { mod } e l s } ( L _ { n } )$ ; confidence 0.232
  
75. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l05700011.png ; $M N$ ; confidence 0.867
+
75. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020148.png ; $c ^ { T } x + \overline { u } ^ { T } ( A _ { 1 } x - b _ { 1 } ) < \overline { q }$ ; confidence 0.232
  
76. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046320/h04632090.png ; $G ( z )$ ; confidence 1.000
+
76. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004024.png ; $\Delta \operatorname { log } \varphi$ ; confidence 0.232
  
77. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110050/f11005043.png ; $h ( z )$ ; confidence 0.997
+
77. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120010/b12001015.png ; $B _ { i } ( x _ { m } , u , u _ { m } , u _ { m n } : x _ { m } ^ { \prime } , u ^ { \prime } , u _ { m } ^ { \prime } , u _ { m n } ^ { \prime } ) = 0$ ; confidence 0.231
  
78. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120080/l12008031.png ; $X + i Y$ ; confidence 0.998
+
78. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t13005046.png ; $K ( A , X ) : 0 \rightarrow \Lambda ^ { 0 } ( X ) \stackrel { D _ { A } ^ { 0 } } { 4 } \ldots \stackrel { D _ { A } ^ { n - 1 } } { \rightarrow } \Lambda ^ { n } ( X ) \rightarrow 0$ ; confidence 0.231
  
79. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120090/l12009057.png ; $T P / G$ ; confidence 0.836
+
79. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120160/f12016016.png ; $\sigma _ { \text { Ire } } ( T )$ ; confidence 0.231
  
80. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120090/l12009090.png ; $A = T M$ ; confidence 0.999
+
80. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130210/b13021019.png ; $g _ { x x }$ ; confidence 0.231
  
81. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120090/l12009097.png ; $[ . . ]$ ; confidence 0.344
+
81. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017013.png ; $\operatorname { ker } \delta _ { A , B } \subseteq \operatorname { ker } \delta _ { A , B } ^ { * }$ ; confidence 0.231
  
82. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035800/e035800101.png ; $L ( A )$ ; confidence 0.996
+
82. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120010/w12001028.png ; $[ L _ { n } , L _ { m } ] = ( n - m ) L _ { n + m } + \frac { 1 } { 12 } ( n ^ { 3 } - n ) \delta _ { n , - m } \cdot C ^ { \prime }$ ; confidence 0.231
  
83. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013570/a01357028.png ; $A ( x )$ ; confidence 0.978
+
83. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120200/f12020014.png ; $e _ { 1 } , \dots , e _ { x } , - ( a _ { 0 } e _ { 1 } + \ldots + a _ { x } - 1 e _ { x } )$ ; confidence 0.231
  
84. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130050/l1300502.png ; $L ( a )$ ; confidence 0.990
+
84. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006044.png ; $P _ { q } ^ { \dagger } ( n ) = \frac { 1 } { n } \sum _ { r | n } \mu ( r ) q ^ { n / r }$ ; confidence 0.230
  
85. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130060/l13006053.png ; $V ( f )$ ; confidence 1.000
+
85. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003055.png ; $I _ { 0 , loc } = \{ ( u _ { j } ) _ { j \in N }$ ; confidence 0.230
  
86. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110060/b11006033.png ; $Z ( l )$ ; confidence 0.857
+
86. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015400/b01540047.png ; $Z _ { 1 } , \dots , Z _ { \infty }$ ; confidence 0.230
  
87. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060030/l06003052.png ; $b \| c$ ; confidence 0.651
+
87. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130010/k13001041.png ; $A | D _ { + } \rangle - A ^ { - 1 } \langle D _ { - } \} = ( A ^ { 2 } - A ^ { - 2 } ) \langle D _ { 0 } \}$ ; confidence 0.230
  
88. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026040/c02604027.png ; $P Q$ ; confidence 0.981
+
88. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004022.png ; $\Delta H _ { D } \psi$ ; confidence 0.230
  
89. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060030/l06003029.png ; $P Q = a$ ; confidence 0.926
+
89. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120100/w12010031.png ; $\square ^ { \prime \prime } \Gamma _ { i j k } ^ { t }$ ; confidence 0.230
  
90. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060030/l06003051.png ; $a \| b$ ; confidence 0.562
+
90. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110590/b11059041.png ; $\mathscr { S }$ ; confidence 0.230
  
91. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l120120190.png ; $V ( M )$ ; confidence 0.635
+
91. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b120430119.png ; $\Psi ( \alpha \bigotimes \beta ) = q \beta \otimes \alpha$ ; confidence 0.230
  
92. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042230/f0422309.png ; $M ( t )$ ; confidence 0.304
+
92. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110010/h11001013.png ; $\underline { L } = 1$ ; confidence 0.230
  
93. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l12012010.png ; $1.1 p$ ; confidence 0.337
+
93. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130410/s13041042.png ; $( Q _ { N } )$ ; confidence 0.230
  
94. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a0113707.png ; $f ( a )$ ; confidence 0.752
+
94. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120070/c12007015.png ; $\sum _ { i < n + 1 } ( - 1 ) ^ { n + 1 - i } \operatorname { pr } ( \alpha _ { 1 } , \ldots , \alpha _ { i + 1 } \alpha _ { i } , \ldots , \alpha _ { n + 1 } ) +$ ; confidence 0.229
  
95. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120140/l12014026.png ; $( T ) =$ ; confidence 0.985
+
95. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020136.png ; $\vec { \mathfrak { c } } \frac { 1 } { \vec { k } } < 0$ ; confidence 0.229
  
96. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120150/l12015031.png ; $[ . . ]$ ; confidence 0.297
+
96. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z130110144.png ; $\mu _ { N } \rightarrow \infty \quad \text { but } \frac { \mu _ { \aleph } } { n } \rightarrow 0$ ; confidence 0.229
  
97. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110250/c1102508.png ; $20$ ; confidence 0.225
+
97. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120260/s12026023.png ; $f = ( 0 , \delta _ { t } \tilde { \otimes } f ^ { n } ) _ { n \in N }$ ; confidence 0.229
  
98. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170241.png ; $T ( 4 )$ ; confidence 1.000
+
98. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130060/k13006031.png ; $\left( \begin{array} { c } { \alpha _ { k - 1 } } \\ { k - 1 } \end{array} \right) \leq m - \left( \begin{array} { c } { \alpha _ { k } } \\ { k } \end{array} \right)$ ; confidence 0.229
  
99. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170240.png ; $C ( 4 )$ ; confidence 0.871
+
99. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130030/z13003076.png ; $\operatorname { sin } b , x$ ; confidence 0.229
  
100. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l12017035.png ; $x y + 1$ ; confidence 0.460
+
100. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120070/q12007036.png ; $u _ { y } ( s | _ { 2 } )$ ; confidence 0.229
  
101. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l1201705.png ; $P L C W$ ; confidence 0.868
+
101. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120280/d12028063.png ; $\tilde { D } = \{ w : w _ { 1 } z _ { 1 } + \ldots + w _ { n } z _ { n } \neq 1 , z \in D \}$ ; confidence 0.229
  
102. https://www.encyclopediaofmath.org/legacyimages/l/l061/l061050/l06105071.png ; $F ( E )$ ; confidence 0.994
+
102. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120130/m12013068.png ; $\delta _ { ( 1 ) } < K _ { ( 1 ) } / K _ { ( 2 ) }$ ; confidence 0.229
  
103. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120030/m12003083.png ; $\psi$ ; confidence 0.611
+
103. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o130060146.png ; $C$ ; confidence 0.229
  
104. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110380/b110380123.png ; $T ( G )$ ; confidence 0.924
+
104. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130050/d13005012.png ; $2 ^ { r ( m - 1 ) } + 2 m$ ; confidence 0.229
  
105. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130010/m13001043.png ; $R ( i )$ ; confidence 1.000
+
105. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110450/b11045014.png ; $43$ ; confidence 0.229
  
106. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130020/m13002052.png ; $4 k - 1$ ; confidence 0.999
+
106. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o130010155.png ; $\tilde { \chi } ( \xi ) = \frac { 8 \pi } { \xi ^ { 2 } } \operatorname { lim } _ { \varepsilon \downarrow 0 } \int _ { S ^ { 2 } } A ( \theta ^ { \prime } , \alpha ) v _ { \varepsilon } ( \alpha , \theta ) d \alpha$ ; confidence 0.228
  
107. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h046420294.png ; $M ( P )$ ; confidence 0.959
+
107. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120160/m12016066.png ; $t \in R ^ { p _ { 1 } n _ { 1 } }$ ; confidence 0.228
  
108. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a11068023.png ; $L ( P )$ ; confidence 0.994
+
108. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i13005036.png ; $a ( - k ) = \overline { a ( k ) } , b ( - k ) = \overline { b ( k ) }$ ; confidence 0.228
  
109. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120070/m12007030.png ; $m ( P )$ ; confidence 0.973
+
109. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130180/m13018031.png ; $n$ ; confidence 0.228
  
110. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120070/m12007049.png ; $00 > 0$ ; confidence 0.353
+
110. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240536.png ; $Z _ { 23 }$ ; confidence 0.228
  
111. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130030/m13003033.png ; $J ( q )$ ; confidence 0.998
+
111. https://www.encyclopediaofmath.org/legacyimages/x/x120/x120010/x120010101.png ; $\operatorname { Aut } ( R ) / \operatorname { ln } n ( R ) \cong H$ ; confidence 0.228
  
112. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033830/d0338304.png ; $P ( D )$ ; confidence 0.968
+
112. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120010/q12001038.png ; $\sum _ { k } \sum _ { l } \overline { c } _ { k } c _ { l } S ( f _ { k } - \overline { f } _ { l } ) \geq 0$ ; confidence 0.228
  
113. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040280/f040280104.png ; $K ( G )$ ; confidence 0.904
+
113. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o130060120.png ; $\Phi ^ { * } ( \xi _ { 1 } \sigma _ { 1 } + \xi _ { 2 } \sigma _ { 2 } ) | _ { \mathfrak { E } ( \lambda ) } : \mathfrak { E } ( \lambda ) \rightarrow \tilde { \mathfrak { C } } ( \lambda )$ ; confidence 0.228
  
114. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120100/m12010011.png ; $E ( G )$ ; confidence 0.933
+
114. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130100/p1301008.png ; $\hat { K } = \{ z \in C ^ { n } : | P ( z ) | \leq \| P \| _ { K } , \forall P \in P \}$ ; confidence 0.228
  
115. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120100/m120100122.png ; $V ( G )$ ; confidence 0.999
+
115. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130040/i13004018.png ; $0 t$ ; confidence 0.228
  
116. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120110/m12011017.png ; $T ( h )$ ; confidence 0.999
+
116. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090670/s09067093.png ; $\theta \rightarrow g \theta = ( g _ { x } ^ { i } d u ^ { i \varepsilon } )$ ; confidence 0.228
  
117. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120120/m12012038.png ; $Q ( R )$ ; confidence 0.982
+
117. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120020/e12002048.png ; $p * ( . . )$ ; confidence 0.227
  
118. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120120/m12012053.png ; $c = a q$ ; confidence 0.839
+
118. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011660/a01166066.png ; $x _ { 2 } , \dots , x _ { x }$ ; confidence 0.227
  
119. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020430/c02043012.png ; $A ( f )$ ; confidence 0.995
+
119. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130050/v13005092.png ; $v \in V ( n )$ ; confidence 0.227
  
120. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120130/m12013039.png ; $N * = 0$ ; confidence 0.978
+
120. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130020/k13002048.png ; $\tau = 4 \int _ { 0 } ^ { 1 } \int _ { 0 } ^ { 1 } C _ { X , Y ^ { \prime } } ( u , v ) d C _ { X , Y ^ { \prime } } ( u , v ) - 1$ ; confidence 0.227
  
121. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120130/m12013031.png ; $n ( t )$ ; confidence 0.999
+
121. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510146.png ; $\infty ( L _ { 1 } ) \oplus \infty ( L _ { 2 } ) = \infty ( L _ { 2 } ) \oplus \infty ( L _ { 1 } ) = \infty ( \emptyset )$ ; confidence 0.227
  
122. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120130/m12013040.png ; $N * = K$ ; confidence 0.929
+
122. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120300/b12030032.png ; $A = - \sum _ { k , 1 = 1 } ^ { N } \frac { \partial } { \partial y _ { k } } ( a _ { k l } ( y ) \frac { \partial } { \partial y } )$ ; confidence 0.226
  
123. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120160/m12016068.png ; $F ( r )$ ; confidence 1.000
+
123. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120110/n12011062.png ; $\xi ( , \dots , . )$ ; confidence 0.226
  
124. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m13014023.png ; $r = r 2$ ; confidence 0.379
+
124. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130310/a13031078.png ; $\mu _ { \gamma } ( X )$ ; confidence 0.226
  
125. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m13014022.png ; $r = r ]$ ; confidence 0.595
+
125. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130500/s13050021.png ; $\frac { | \nabla ( A ) | } { \left( \begin{array} { c } { n } \\ { l + 1 } \end{array} \right) } \geq \frac { | A | } { \left( \begin{array} { l } { n } \\ { l } \end{array} \right) }$ ; confidence 0.226
  
126. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m13014061.png ; $n < 12$ ; confidence 0.998
+
126. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130020/h13002055.png ; $\{ w ( a ) \} _ { a \in A }$ ; confidence 0.226
  
127. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m130140130.png ; $r j , 2$ ; confidence 0.476
+
127. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s120230153.png ; $( X A _ { 1 } X ^ { \prime } , \ldots , X A _ { s } X ^ { \prime } ) \sim L _ { s } ^ { ( 1 ) } ( f _ { 1 } , \frac { n _ { 1 } } { 2 } , \ldots , \frac { n _ { s } } { 2 } )$ ; confidence 0.226
  
128. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060770/l06077086.png ; $r ( x )$ ; confidence 0.998
+
128. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110160/f11016049.png ; $f _ { \mathfrak { B } }$ ; confidence 0.226
  
129. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110110/m11011040.png ; $L y = 0$ ; confidence 0.850
+
129. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120270/a120270119.png ; $\rho : G \rightarrow S p _ { 2 n } ( C ) \rightarrow G k _ { 2 n } ( C )$ ; confidence 0.226
  
130. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013000/a01300080.png ; $P ( z )$ ; confidence 1.000
+
130. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032018.png ; $e ^ { Z }$ ; confidence 0.225
  
131. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130190/m13019035.png ; $R = L L$ ; confidence 0.794
+
131. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120030/c1200309.png ; $f ( , x ) : J \rightarrow R ^ { m }$ ; confidence 0.225
  
132. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130220/m13022020.png ; $o ( g )$ ; confidence 0.775
+
132. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040415.png ; $\operatorname { Aod } ^ { * } L _ { D }$ ; confidence 0.225
  
133. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130220/m13022085.png ; $c = 24$ ; confidence 0.993
+
133. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o130010153.png ; $\tilde { X } ( \xi )$ ; confidence 0.225
  
134. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130220/m13022027.png ; $\in N$ ; confidence 0.916
+
134. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200104.png ; $a \in \mathfrak { g } ^ { \alpha }$ ; confidence 0.225
  
135. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130230/m130230137.png ; $f ( C )$ ; confidence 0.946
+
135. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130230/b13023021.png ; $M _ { x } = m _ { 0 } \ldots m _ { x } - 1$ ; confidence 0.225
  
136. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013000/a01300017.png ; $R ( z )$ ; confidence 0.999
+
136. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110250/c1102508.png ; $20$ ; confidence 0.225
  
137. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m130260228.png ; $Q ( A )$ ; confidence 0.523
+
137. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014064.png ; $G l _ { Q } ( d ) = \prod _ { j \in Q _ { 0 } } Gl ( v _ { j } , K )$ ; confidence 0.225
  
138. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m130260241.png ; $M ( B )$ ; confidence 0.971
+
138. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t12020022.png ; $\operatorname { inf } _ { z _ { j } } \operatorname { max } _ { k \in S } ( \frac { | \sum _ { j = 1 } ^ { n } b _ { j } z _ { j } ^ { k } | \psi ( k , n ) } { M _ { d } ( k ) } ) ^ { 1 / k }$ ; confidence 0.225
  
139. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m130260204.png ; $e y = 0$ ; confidence 0.673
+
139. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t12020063.png ; $R _ { n } = \operatorname { min } _ { z _ { j } } \operatorname { max } _ { k = 1 , \ldots , n } | s _ { k } |$ ; confidence 0.225
  
140. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m13026051.png ; $B ( H )$ ; confidence 0.873
+
140. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023270/c02327021.png ; $p \in I$ ; confidence 0.224
  
141. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m130260243.png ; $I ( B )$ ; confidence 0.951
+
141. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120300/d12030013.png ; $g : R _ { + } \times R ^ { m } \rightarrow L ( R ^ { m } , R ^ { m } )$ ; confidence 0.224
  
142. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m130260203.png ; $x e = x$ ; confidence 0.923
+
142. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040490/f04049018.png ; $v _ { 2 } + 2$ ; confidence 0.224
  
143. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064460/m06446031.png ; $x y = 0$ ; confidence 0.999
+
143. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130150/c13015014.png ; $\alpha \in N _ { 0 } ^ { x }$ ; confidence 0.224
  
144. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m13026024.png ; $A H = H$ ; confidence 0.894
+
144. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r130080135.png ; $\sum _ { j = 1 } ^ { \infty } \lambda _ { j } ^ { - 1 } ( u , \varphi ; ) _ { 0 } \varphi _ { j } ( x ) = \sum _ { j = 1 } ^ { \infty } w _ { j } \varphi _ { j } ( x ) = w ( x )$ ; confidence 0.224
  
145. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m130260114.png ; $K ( H )$ ; confidence 0.921
+
145. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096040/v09604019.png ; $P ( Y \backslash T ) \} P ( Z < T )$ ; confidence 0.224
  
146. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011840/a011840142.png ; $9 \pi$ ; confidence 0.358
+
146. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120020/b12002030.png ; $X _ { i } = Q ( U _ { i } )$ ; confidence 0.224
  
147. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024230/c024230146.png ; $P = N P$ ; confidence 0.995
+
147. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120030/b12003038.png ; $\$ ; confidence 0.224
  
148. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022660/c022660286.png ; $C ( f )$ ; confidence 0.982
+
148. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120070/g12007040.png ; $K O _ { m } ( R \pi ) = Z _ { m } ^ { \pi } / i ^ { * } Z _ { m + 1 } ^ { \pi }$ ; confidence 0.224
  
149. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120020/n120020114.png ; $2 d + 4$ ; confidence 1.000
+
149. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047580/h04758011.png ; $X _ { \nu }$ ; confidence 0.223
  
150. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120020/n1200206.png ; $M ( E )$ ; confidence 0.993
+
150. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a0105503.png ; $g \in G$ ; confidence 0.223
  
151. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120020/n12002047.png ; $M ( R )$ ; confidence 0.983
+
151. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016098.png ; $K$ ; confidence 0.223
  
152. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064540/m0645407.png ; $D ( u )$ ; confidence 0.998
+
152. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130020/j13002025.png ; $- E X ( 1 + o ( 1 ) )$ ; confidence 0.223
  
153. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120110/n12011071.png ; $F ( R )$ ; confidence 0.998
+
153. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120300/c12030068.png ; $B \times _ { \alpha } Z \simeq O _ { \aleph } \otimes K$ ; confidence 0.223
  
154. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040450/f04045035.png ; $f ( U )$ ; confidence 0.998
+
154. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t1301303.png ; $p \cdot \operatorname { dim } _ { \Lambda } T \leq 1$ ; confidence 0.223
  
155. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012550/a01255047.png ; $a ( f )$ ; confidence 0.736
+
155. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130140/r13014028.png ; $f ( x ) \mapsto ( S ^ { \alpha } f ) ( x ) = \int _ { | \xi | \leq 1 } \hat { f ( \xi ) } ( 1 - | \xi | ^ { 2 } ) ^ { \alpha } e ^ { 2 \pi i x . \xi } d \xi$ ; confidence 0.223
  
156. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520420.png ; $a ( Y )$ ; confidence 0.740
+
156. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130090/f13009025.png ; $\left. \begin{array}{l}{ U _ { 0 } ( x , y ) = 0 }\\{ U _ { 1 } ( x , y ) = 1 }\\{ U _ { n } ( x , y ) = x U _ { n - 1 } ( x , y ) + y U _ { n - 2 } ( x , y ) }\\{ n = 2 , 3 , \ldots }\end{array} \right.$ ; confidence 0.223
  
157. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520445.png ; $f ( V )$ ; confidence 0.985
+
157. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120050/d12005068.png ; $F$ ; confidence 0.223
  
158. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520254.png ; $d j = 0$ ; confidence 0.973
+
158. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120030/a12003012.png ; $x - a | < b - a$ ; confidence 0.223
  
159. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054390/j05439023.png ; $J ( f )$ ; confidence 0.999
+
159. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130090/r1300904.png ; $a = ( \alpha _ { 1 } , \dots , a _ { n } ) \in R ^ { n } \backslash \{ 0 \}$ ; confidence 0.222
  
160. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047860/h047860125.png ; $S ( X )$ ; confidence 0.973
+
160. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017042.png ; $X \in ker \delta _ { A } * _ { , B } *$ ; confidence 0.222
  
161. https://www.encyclopediaofmath.org/legacyimages/o/o120/o120010/o12001032.png ; $O ( 1 )$ ; confidence 0.941
+
161. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130050/e1300505.png ; $\partial _ { X } u$ ; confidence 0.222
  
162. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o13001015.png ; $h ( s )$ ; confidence 0.999
+
162. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050159.png ; $c ^ { - 2 }$ ; confidence 0.222
  
163. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130030/o13003038.png ; $d j k d$ ; confidence 0.166
+
163. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l057000146.png ; $\Gamma \vdash N : \sigma$ ; confidence 0.222
  
164. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130030/o13003044.png ; $N ( X )$ ; confidence 0.630
+
164. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057020/l05702059.png ; $k = \overline { k } _ { S }$ ; confidence 0.221
  
165. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059490/l059490267.png ; $Z ( t )$ ; confidence 0.995
+
165. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120200/d12020013.png ; $\sum _ { \mathfrak { W } = 1 } ^ { \mathfrak { N } } m ^ { - s }$ ; confidence 0.221
  
166. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130040/o1300402.png ; $X ( . )$ ; confidence 0.956
+
166. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s120320101.png ; $M ^ { N }$ ; confidence 0.221
  
167. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130080/o13008051.png ; $I ( k )$ ; confidence 0.984
+
167. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120050/s12005091.png ; $w _ { 1 } , \dots , w _ { N } \in \Omega$ ; confidence 0.221
  
168. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120110/p12011031.png ; $E ( G )$ ; confidence 0.991
+
168. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b12042064.png ; $ev _ { V } ^ { \prime } : V ^ { * } \otimes V \rightarrow \underline { 1 }$ ; confidence 0.221
  
169. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120110/p12011019.png ; $( 10 )$ ; confidence 0.985
+
169. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097590/w09759034.png ; $\phi = \sum \phi _ { v } : WC ( A , k ) \rightarrow \sum _ { v } WC ( A , k _ { v } )$ ; confidence 0.221
  
170. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120110/p1201106.png ; $C ( n )$ ; confidence 0.933
+
170. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009054.png ; $= \{ \frac { m } { 1 + \alpha ^ { 2 } } \int _ { 0 } ^ { z } \frac { p _ { 1 } ( s ) - \alpha i } { s ^ { 1 - \frac { m } { 1 + \alpha i } } } e ^ { \frac { m } { 1 + \alpha ^ { 2 } } \int _ { 0 } ^ { s } \frac { p _ { 0 } ( t ) - 1 } { t } d t } d s \}$ ; confidence 0.221
  
171. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120120/p1201209.png ; $\phi$ ; confidence 0.437
+
171. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120270/a12027065.png ; $n _ { P }$ ; confidence 0.221
  
172. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120130/p1201307.png ; $P ( x )$ ; confidence 0.943
+
172. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130020/j13002020.png ; $\epsilon = \operatorname { max } E$ ; confidence 0.221
  
173. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120140/p12014057.png ; $N ( x )$ ; confidence 0.655
+
173. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120140/w12014031.png ; $n < n$ ; confidence 0.221
  
174. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130070/p13007049.png ; $M u = 0$ ; confidence 0.804
+
174. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130060/c13006036.png ; $W = \langle A _ { 1 } , \dots , A _ { r } \}$ ; confidence 0.221
  
175. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020950/c0209508.png ; $x = x 0$ ; confidence 0.746
+
175. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014072.png ; $q ( v ) = \operatorname { dim } G _ { Q } ( v ) - \operatorname { dim } A _ { Q } ( v )$ ; confidence 0.221
  
176. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130120/p1301207.png ; $s ( D )$ ; confidence 0.756
+
176. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014079.png ; $q g : Z ^ { n } \rightarrow Z$ ; confidence 0.220
  
177. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g04302061.png ; $O ( n )$ ; confidence 0.986
+
177. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130040/t13004026.png ; $y _ { x } ^ { x } ( x )$ ; confidence 0.220
  
178. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p1201702.png ; $B ( H )$ ; confidence 0.998
+
178. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l120120215.png ; $z _ { t o t }$ ; confidence 0.220
  
179. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130020/q1300208.png ; $| 0 \}$ ; confidence 0.886
+
179. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048070/h04807023.png ; $T ^ { 2 } = \frac { Y ^ { 2 } } { \chi _ { N } ^ { 2 } / n } = t _ { N } ^ { 2 }$ ; confidence 0.220
  
180. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130020/q13002036.png ; $B ( D )$ ; confidence 0.403
+
180. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120130/t12013013.png ; $\frac { \partial L _ { i } } { \partial x _ { N } } = [ ( L _ { 1 } ^ { N } ) _ { + } , L _ { i } ]$ ; confidence 0.220
  
181. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130020/q13002024.png ; $> 2 + 3$ ; confidence 0.528
+
181. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090252.png ; $h ^ { * } = Hom _ { C } ( h , C )$ ; confidence 0.220
  
182. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130020/q13002025.png ; $< 1 / 3$ ; confidence 0.909
+
182. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120270/e12027026.png ; $\alpha \leq y _ { 1 } < x _ { 1 } < y _ { 2 } < x _ { 2 } < \ldots < x _ { m } < y _ { m } + 1 \leq b$ ; confidence 0.220
  
183. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120010/q12001087.png ; $S ( C )$ ; confidence 0.868
+
183. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040114.png ; $T , \psi \vdash _ { D } \varphi$ ; confidence 0.220
  
184. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120030/q1200302.png ; $q ( G )$ ; confidence 0.938
+
184. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130040/g130040177.png ; $T _ { X }$ ; confidence 0.219
  
185. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130030/q13003011.png ; $| 1 \}$ ; confidence 0.937
+
185. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130240/f13024011.png ; $L ( a , b ) c = \{ a b c \rangle$ ; confidence 0.219
  
186. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130030/q13003054.png ; $H ( . )$ ; confidence 0.683
+
186. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130660/s13066019.png ; $\operatorname { span } \{ z ^ { - n - 1 } , \ldots , z ^ { - 1 } , 1 , z , \ldots , z ^ { n - 1 } \}$ ; confidence 0.219
  
187. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130050/q130050102.png ; $h ( T )$ ; confidence 0.993
+
187. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240383.png ; $H ^ { \prime }$ ; confidence 0.219
  
188. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010070.png ; $K ( M )$ ; confidence 0.831
+
188. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130020/k13002030.png ; $( x ; y ; )$ ; confidence 0.219
  
189. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130050/q13005041.png ; $K [ f ]$ ; confidence 0.987
+
189. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l120120106.png ; $U _ { \mathfrak { p } }$ ; confidence 0.219
  
190. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120070/q12007026.png ; $k [ g ]$ ; confidence 0.820
+
190. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d1300605.png ; $: 2 ^ { \Xi } \rightarrow [ 0,1 ]$ ; confidence 0.219
  
191. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020920/c02092025.png ; $B ( x )$ ; confidence 0.942
+
191. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120280/a12028024.png ; $p _ { U } ( x )$ ; confidence 0.219
  
192. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120080/q12008083.png ; $E [ W ]$ ; confidence 0.811
+
192. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130010/z13001036.png ; $z ^ { n - 1 } _ { \Re ( z ) }$ ; confidence 0.219
  
193. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120080/q12008070.png ; $E [ C ]$ ; confidence 0.635
+
193. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130030/j13003090.png ; $z \mapsto z - 2 \{ a a z \} + \{ \alpha \{ a z \alpha \} a \}$ ; confidence 0.219
  
194. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130040/r13004055.png ; $P M , 1$ ; confidence 0.116
+
194. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130040/g130040129.png ; $M ( S ) = \int \theta ( x ) d H ^ { m } \| _ { R ( x ) }$ ; confidence 0.219
  
195. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130050/r13005010.png ; $g a = b$ ; confidence 0.942
+
195. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130010/b130010101.png ; $Z \in H _ { N }$ ; confidence 0.218
  
196. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r130070133.png ; $f = L F$ ; confidence 0.996
+
196. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f120230131.png ; $= \frac { 1 } { k ! ! ! } \sum _ { \sigma } \operatorname { sign } \sigma \times \times [ K ( X _ { \sigma 1 } , \ldots , X _ { \sigma k } ) , L ( X _ { \sigma ( k + 1 ) } , \ldots , X _ { \sigma ( k + 1 ) } ) ] +$ ; confidence 0.218
  
197. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075140/p0751404.png ; $R ( L )$ ; confidence 0.986
+
197. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015010/b01501019.png ; $j _ { r } \circ \phi _ { r } = \phi _ { r + 1 } \circ g _ { \gamma }$ ; confidence 0.218
  
198. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011840/a0118407.png ; $F ( s )$ ; confidence 1.000
+
198. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120160/e12016018.png ; $d \mu _ { A }$ ; confidence 0.218
  
199. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r13008030.png ; $K f = 0$ ; confidence 0.958
+
199. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110200/p1102006.png ; $a + 4$ ; confidence 0.218
  
200. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025440/c02544063.png ; $u ( y )$ ; confidence 0.998
+
200. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020082.png ; $3$ ; confidence 0.218
  
201. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r130080132.png ; $u = A w$ ; confidence 0.954
+
201. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120030/w12003015.png ; $I ( \Gamma )$ ; confidence 0.218
  
202. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r13008035.png ; $K f = f$ ; confidence 0.997
+
202. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c12008072.png ; $\Delta ( A , E ) = \sum _ { i = 0 } ^ { m } I \bigotimes D _ { i , n - i } A ^ { i } E ^ { m - i } = 0$ ; confidence 0.218
  
203. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130090/r1300906.png ; $a x = c$ ; confidence 0.330
+
203. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110167.png ; $\operatorname { sup } _ { x \in K \atop \xi \in R ^ { n } } | ( D _ { x } ^ { \alpha } D _ { \xi } ^ { \beta } r _ { m - 2 } ) ( x , \xi ) | ( 1 + | \xi | ) ^ { 2 - m + | \beta | } < \infty$ ; confidence 0.218
  
204. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130110/r13011026.png ; $E ( t )$ ; confidence 0.595
+
204. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130010/g13001058.png ; $\operatorname { Tr } _ { E / F } ( \beta _ { i } \gamma _ { j } ) = \delta _ { i j } \text { for } i , j = 0 , \dots , n - 1$ ; confidence 0.218
  
205. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082320/r08232027.png ; $J ( p )$ ; confidence 0.998
+
205. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120170/b12017024.png ; $L _ { 0 } ^ { p }$ ; confidence 0.217
  
206. https://www.encyclopediaofmath.org/legacyimages/r/r120/r120020/r12002010.png ; $g ( q )$ ; confidence 1.000
+
206. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c12017093.png ; $Z ^ { n + 1 } = p ( Z , Z ) \equiv \sum _ { 0 \leq i + j \leq n } \alpha _ { i j } Z ^ { i } Z ^ { j }$ ; confidence 0.217
  
207. https://www.encyclopediaofmath.org/legacyimages/r/r120/r120020/r1200208.png ; $M ( q )$ ; confidence 0.545
+
207. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120070/q12007041.png ; $\Delta E = E \otimes g + 1 \otimes E , \epsilon E = 0 , S E = - E g ^ { - 1 } , \Delta F = F \otimes 1 + g ^ { - 1 } \bigotimes F , \epsilon F = 0 , S F = - g F$ ; confidence 0.217
  
208. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067360/n06736068.png ; $1.1 p$ ; confidence 0.187
+
208. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018026.png ; $Fm _ { \ell }$ ; confidence 0.217
  
209. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130010/s13001033.png ; $1.1 v$ ; confidence 0.918
+
209. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b13029019.png ; $I ( M ) = 1 _ { A } ( M / \mathfrak { q } M ) - e _ { \mathfrak { q } } ^ { 0 } ( M )$ ; confidence 0.217
  
210. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130020/s13002015.png ; $0.01$ ; confidence 0.065
+
210. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130140/c13014045.png ; $p _ { 2 } ^ { k }$ ; confidence 0.217
  
211. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130110/s13011018.png ; $I ( w )$ ; confidence 0.499
+
211. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120500/b12050021.png ; $W ^ { 0 }$ ; confidence 0.217
  
212. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010680/a01068048.png ; $Q ( n )$ ; confidence 0.923
+
212. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120210/t12021026.png ; $t ( M ; 2,2 ) = 2 ^ { | E | }$ ; confidence 0.217
  
213. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120050/s12005076.png ; $5000$ ; confidence 0.181
+
213. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120150/p12015042.png ; $R ^ { \gamma }$ ; confidence 0.217
  
214. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046320/h04632074.png ; $B ( z )$ ; confidence 1.000
+
214. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008073.png ; $\left. \begin{array} { c } { ( \frac { d ^ { 2 } u } { d t ^ { 2 } } , v ) _ { L ^ { 2 } } + a ( u , v ) = ( f ( t ) , v ) _ { L ^ { 2 } } } \\ { \text { a.e.t } \in [ 0 , T ] , v \in V } \\ { u ( 0 ) = u _ { 0 } , \frac { d u } { d t } ( 0 ) = u _ { 1 } } \end{array} \right.$ ; confidence 0.217
  
215. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033680/d03368013.png ; $B ( F )$ ; confidence 0.644
+
215. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180465.png ; $\pi ^ { * } _ { 0 } g \in S ^ { 2 } \varepsilon _ { 0 }$ ; confidence 0.217
  
216. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130130/s13013018.png ; $S ( F )$ ; confidence 0.989
+
216. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l05700061.png ; $( \lambda x _ { 1 } ( \lambda x _ { 2 } \ldots ( \lambda x _ { n } M ) \ldots ) )$ ; confidence 0.217
  
217. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130130/s13013010.png ; $( G ) )$ ; confidence 0.836
+
217. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130130/c13013010.png ; $A = \frac { \partial Q } { \partial L } \cdot \frac { 1 } { 1 - \alpha } \dot { k } ^ { - \alpha }$ ; confidence 0.216
  
218. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130130/s13013011.png ; $p ( G )$ ; confidence 0.362
+
218. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120110/d12011012.png ; $N \times N$ ; confidence 0.216
  
219. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130360/s13036035.png ; $n ( x )$ ; confidence 0.711
+
219. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120280/d120280109.png ; $H ^ { n , n - 1 } ( C ^ { n } \backslash D )$ ; confidence 0.216
  
220. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120150/s12015042.png ; $G ( S )$ ; confidence 0.884
+
220. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f130290142.png ; $( f , \phi ) ^ { \leftarrow } ( b ) = \phi ^ { 0 p } \circ b \circ f$ ; confidence 0.216
  
221. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011520/a01152030.png ; $G ( x )$ ; confidence 0.990
+
221. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110020/m11002046.png ; $X \subseteq \underline { Q }$ ; confidence 0.216
  
222. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029059.png ; $\pi x$ ; confidence 0.982
+
222. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120300/c12030049.png ; $T _ { Y }$ ; confidence 0.216
  
223. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110610/a110610150.png ; $\mu ]$ ; confidence 0.415
+
223. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120360/b12036025.png ; $= \frac { \operatorname { exp } ( - \frac { ( p _ { x } ^ { 2 } + p _ { y } ^ { 2 } + p _ { z } ^ { 2 } ) } { 2 m k _ { B } T } ) d p _ { x } d p _ { y } d p _ { z } } { \int \int \int _ { - \infty } ^ { \infty } \operatorname { exp } ( \frac { - ( p _ { x } ^ { 2 } + p _ { y } ^ { 2 } + p _ { z } ^ { 2 } ) } { 2 m k _ { B } T } ) d p _ { x } d p _ { y } d p _ { z } }$ ; confidence 0.216
  
224. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120170/s12017060.png ; $\sim$ ; confidence 0.887
+
224. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f130100104.png ; $a \in U$ ; confidence 0.215
  
225. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130480/s1304808.png ; $D a = 0$ ; confidence 0.529
+
225. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120260/c12026084.png ; $U _ { k } ^ { N }$ ; confidence 0.215
  
226. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130490/s13049020.png ; $d ( P )$ ; confidence 0.956
+
226. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130200/m13020044.png ; $\{ J ( x ) , X \rangle = j ( X ) ( x ) , H _ { j } ( X ) = \alpha ^ { \prime } ( X )$ ; confidence 0.215
  
227. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s120230117.png ; $\pi r$ ; confidence 0.500
+
227. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130070/b1300703.png ; $BS ( m , n ) = \{ \alpha , b | \alpha ^ { - 1 } b ^ { m } \alpha = b ^ { n } \}$ ; confidence 0.215
  
228. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s12023016.png ; $- X = X$ ; confidence 0.470
+
228. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009059.png ; $g ( z ) = z e ^ { \int _ { 0 } ^ { z } \frac { p _ { 0 } ( t ) - 1 } { t } d t } _ { \in S }$ ; confidence 0.215
  
229. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073700/p07370068.png ; $k [ G ]$ ; confidence 0.931
+
229. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120010/i12001010.png ; $\Phi ^ { * } ( t ) = \int _ { 0 } ^ { t + 1 } g _ { \Phi } ( s ) d s$ ; confidence 0.214
  
230. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110380/b11038016.png ; $d \mu$ ; confidence 1.000
+
230. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040642.png ; $\{ M e _ { S _ { P } } ^ { * } \mathfrak { M } , F _ { S _ { P } } ^ { * } \mathfrak { M } \rangle$ ; confidence 0.214
  
231. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090670/s0906708.png ; $U ( C )$ ; confidence 0.968
+
231. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020070/c02007018.png ; $L _ { p } ( R ^ { x } )$ ; confidence 0.214
  
232. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090670/s09067049.png ; $m ( m )$ ; confidence 0.422
+
232. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040808.png ; $^ { * } L D S$ ; confidence 0.214
  
233. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032045.png ; $S ( V )$ ; confidence 0.685
+
233. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020093.png ; $\omega \mathfrak { g } ^ { \alpha } = \mathfrak { g } ^ { - } a$ ; confidence 0.214
  
234. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048420/h048420160.png ; $O ( U )$ ; confidence 0.870
+
234. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130100/w13010048.png ; $( 0 , \kappa _ { i } )$ ; confidence 0.214
  
235. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032050.png ; $U ( L )$ ; confidence 0.455
+
235. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e13003081.png ; $\operatorname { Hom } _ { K _ { \infty } } ( \Lambda ^ { \bullet } ( \mathfrak { g } / \mathfrak { k } ) , C _ { \infty } ( \Gamma \backslash G ( R ) \otimes M _ { C } ) )$ ; confidence 0.214
  
236. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032014.png ; $[ x , ]$ ; confidence 0.975
+
236. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110134.png ; $\operatorname { sup } _ { ( x , \xi ) \in R ^ { 2 n } , } | D _ { x } ^ { \alpha } D _ { \xi } ^ { \beta } \alpha ( x , \xi , h ) | h ^ { m - | \beta | } < \infty$ ; confidence 0.214
  
237. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032036.png ; $T ( V )$ ; confidence 0.937
+
237. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120280/c12028011.png ; $\pi _ { N } ( X _ { N } , X _ { N } - 1 , X )$ ; confidence 0.214
  
238. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032093.png ; $p | q )$ ; confidence 0.839
+
238. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130030/z1300305.png ; $Z _ { r i } ( f )$ ; confidence 0.214
  
239. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110340/a1103403.png ; $y ( t )$ ; confidence 0.999
+
239. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120130/p12013015.png ; $K$ ; confidence 0.214
  
240. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s13064015.png ; $E ( a )$ ; confidence 0.621
+
240. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054036.png ; $\{ \alpha , b \} = h ( a b ) h ( \alpha ) ^ { - 1 } h ( b ) ^ { - 1 }$ ; confidence 0.214
  
241. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130650/s13065041.png ; $40 = 1$ ; confidence 0.840
+
241. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d130060125.png ; $B e l x$ ; confidence 0.214
  
242. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012920/a01292076.png ; $\phi$ ; confidence 0.390
+
242. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180473.png ; $g \in S ^ { 2 } E$ ; confidence 0.214
  
243. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011490/a011490140.png ; $y ( x )$ ; confidence 0.998
+
243. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040660/f04066036.png ; $S _ { 1 } , \ldots , S _ { n }$ ; confidence 0.214
  
244. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130070/t13007022.png ; $y = K x$ ; confidence 0.999
+
244. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006012.png ; $\frac { 1 } { 2 } \int _ { R ^ { 3 } R ^ { 3 } } \frac { \rho ( x ) \rho ( y ) } { | x - y | } d x d y + U$ ; confidence 0.214
  
245. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110350/c11035013.png ; $\mu y$ ; confidence 0.988
+
245. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n06752088.png ; $A \in M _ { m \times n } ( K ) \subset M _ { m \times n } ( \hat { K } )$ ; confidence 0.213
  
246. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130080/t13008011.png ; $t + d t$ ; confidence 0.999
+
246. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130190/f13019042.png ; $O ( N ^ { d } \operatorname { log } N )$ ; confidence 0.213
  
247. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t1200603.png ; $E ( N )$ ; confidence 0.956
+
247. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120300/d12030047.png ; $E [ \gamma ( X ( t ) ) | \sigma ( Y ( u , u \leq t ) ] = \frac { E _ { \mu _ { X } } [ \gamma ( X ( t ) ) \psi ( t ) ] } { E _ { \mu _ { X } } [ \psi ( t ) ] }$ ; confidence 0.213
  
248. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037040/e03704040.png ; $D ( T )$ ; confidence 0.964
+
248. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180475.png ; $g | _ { D _ { 0 } } \times \{ 0 \}$ ; confidence 0.213
  
249. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t130140116.png ; $q R$ ; confidence 0.245
+
249. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l05700014.png ; $\lambda x \|$ ; confidence 0.213
  
250. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t130140124.png ; $R = K Q$ ; confidence 0.998
+
250. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120240/d12024091.png ; $sl ( n , C )$ ; confidence 0.213
  
251. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023110/c023110102.png ; $p A = 0$ ; confidence 0.999
+
251. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130030/h13003075.png ; $00 ^ { 2 } n )$ ; confidence 0.213
  
252. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130150/t13015069.png ; $T ( S )$ ; confidence 0.905
+
252. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130490/s13049065.png ; $| N _ { 0 } | = | N _ { N } ( P ) | \leq | N _ { 1 } | = | N _ { N } ( P ) - 1 | \leq$ ; confidence 0.213
  
253. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120140/t120140123.png ; $\phi$ ; confidence 0.976
+
253. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120280/b12028018.png ; $g = B . O \cdot \frac { S _ { 1 } } { S _ { 2 } }$ ; confidence 0.213
  
254. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110700/b11070040.png ; $C ( T )$ ; confidence 0.825
+
254. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032066.png ; $m a = ( - 1 ) ^ { p ( m ) p ( x ) } a m$ ; confidence 0.213
  
255. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120140/t120140150.png ; $\Phi$ ; confidence 0.168
+
255. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120500/b12050023.png ; $I ( t , x )$ ; confidence 0.213
  
256. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120150/t12015021.png ; $L ( A )$ ; confidence 0.809
+
256. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c12008043.png ; $\sum _ { l = 0 } ^ { m } ( l _ { m } \otimes D _ { m - i } ) [ A _ { 1 } ^ { i + 1 } , A _ { 1 } ^ { i } A _ { 2 } ] = 0 ( D _ { 0 } = I _ { n } )$ ; confidence 0.213
  
257. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200213.png ; $k j - 1$ ; confidence 0.545
+
257. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130090/c13009011.png ; $j = 0 , \ldots , N$ ; confidence 0.213
  
258. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200245.png ; $3 ( 4 )$ ; confidence 1.000
+
258. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340115.png ; $X$ ; confidence 0.213
  
259. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t12020038.png ; $g ( k )$ ; confidence 0.911
+
259. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130020/k13002025.png ; $U = \sum _ { u } u ( u - 1 ) / 2$ ; confidence 0.213
  
260. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120210/t12021011.png ; $t ( N )$ ; confidence 0.536
+
260. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130210/f13021036.png ; $B ( G ) \cap C _ { 0 } ( G ; C )$ ; confidence 0.212
  
261. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120210/t12021077.png ; $p ( e )$ ; confidence 0.889
+
261. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110137.png ; $( a _ { m } ^ { - 1 } b ) ( x , \xi ) = r _ { N } ( a , b ) +$ ; confidence 0.212
  
262. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120210/t12021065.png ; $v ( v )$ ; confidence 0.474
+
262. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a1103206.png ; $u _ { m + 1 } ^ { ( 1 ) } = u _ { m }$ ; confidence 0.212
  
263. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028078.png ; $c ( G )$ ; confidence 0.853
+
263. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040661.png ; $= \{ M e _ { S _ { i } }$ ; confidence 0.212
  
264. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120210/t12021037.png ; $v ( G )$ ; confidence 0.473
+
264. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220113.png ; $R H _ { D } ^ { i + 1 } ( X / R , R ( i + 1 - m ) )$ ; confidence 0.212
  
265. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120210/t12021050.png ; $a ( G )$ ; confidence 0.803
+
265. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120270/e12027019.png ; $\Lambda _ { m } ^ { \alpha , \beta , r , s }$ ; confidence 0.212
  
266. https://www.encyclopediaofmath.org/legacyimages/u/u130/u130020/u13002037.png ; $a b > 1$ ; confidence 0.971
+
266. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110220/d11022040.png ; $\frac { G ( x , t ) } { ( x - x _ { 1 } ) ^ { \prime } 1 \ldots ( x - x _ { m } ) ^ { r _ { m } } } > 0$ ; confidence 0.212
  
267. https://www.encyclopediaofmath.org/legacyimages/u/u130/u130020/u13002039.png ; $a b < 1$ ; confidence 0.969
+
267. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200139.png ; $\geq | z _ { k } + 1 | \geq \ldots \geq | z _ { k } | = 1 \geq \ldots \geq | z _ { k _ { 2 } } - 1 | > > \frac { m } { m + n } \geq | z _ { k _ { 2 } } | \geq \ldots \geq | z _ { x } |$ ; confidence 0.211
  
268. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020660/c020660157.png ; $a b = 1$ ; confidence 0.797
+
268. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130260/a13026026.png ; $q ^ { n }$ ; confidence 0.211
  
269. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130050/v13005032.png ; $X , X D$ ; confidence 0.499
+
269. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120270/b12027035.png ; $P ( X _ { 1 } = \alpha + n h \text { for somen } = 0,1 , \ldots ) = 1$ ; confidence 0.211
  
270. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130050/v130050101.png ; $D ( i )$ ; confidence 0.801
+
270. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120050/w12005036.png ; $A \subset \{ x ^ { 1 } , \ldots , x _ { n } \} ^ { 2 }$ ; confidence 0.211
  
271. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110610/a110610124.png ; $K ( Y )$ ; confidence 0.991
+
271. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004085.png ; $\{ 21 , n \}$ ; confidence 0.211
  
272. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110230/d11023012.png ; $L ( G )$ ; confidence 0.832
+
272. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130070/h13007044.png ; $\operatorname { deg } f _ { j + r , \ldots , \operatorname { deg } } f _ { l } < \operatorname { deg } \Delta = r D$ ; confidence 0.211
  
273. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130110/v13011025.png ; $z = m l$ ; confidence 0.878
+
273. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130100/z13010075.png ; $y \forall v ( ( v \in x \bigwedge ( \neg v = \emptyset ) ) \rightarrow \exists s \forall t ( ( t \in v \wedge t \in y ) \leftrightarrow s = t ) )$ ; confidence 0.211
  
274. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130110/v13011059.png ; $2 i$ ; confidence 0.747
+
274. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130050/z1300505.png ; $R = k [ x _ { 1 } , \dots , x _ { n } ] / I$ ; confidence 0.211
  
275. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076330/q07633028.png ; $B ( H )$ ; confidence 0.957
+
275. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014083.png ; $v \in N ^ { \wedge }$ ; confidence 0.211
  
276. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900203.png ; $£ + 1 e$ ; confidence 0.067
+
276. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120300/b12030056.png ; $\phi ( , \eta ) Y \square \underline { r }$ ; confidence 0.211
  
277. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900173.png ; $T f = g$ ; confidence 0.988
+
277. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f120110198.png ; $\tilde { \mathscr { Q } } = \tilde { \mathscr { Q } } ( D ^ { n } )$ ; confidence 0.211
  
278. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092370/t09237031.png ; $X ( N )$ ; confidence 0.893
+
278. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l05700025.png ; $\lambda x i$ ; confidence 0.210
  
279. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097590/w09759045.png ; $E ( Q )$ ; confidence 0.980
+
279. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110147.png ; $t _ { N } ( a , b ) \in S _ { sc 1 } ^ { m _ { 1 } + m _ { 2 } - N }$ ; confidence 0.210
  
280. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130060/w13006038.png ; $T g , x$ ; confidence 0.340
+
280. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130410/s13041066.png ; $Q _ { n } ( z ) / T _ { n } ( z ) \rightrightarrows 2 / \phi ^ { \prime } ( z )$ ; confidence 0.210
  
281. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082590/r08259096.png ; $Q ( R )$ ; confidence 0.940
+
281. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120030/w120030145.png ; $\gamma _ { 0 } \in \Gamma _ { W }$ ; confidence 0.210
  
282. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130050/w13005015.png ; $I ( K )$ ; confidence 0.781
+
282. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090271.png ; $e w - e i + 1 i + 1$ ; confidence 0.210
  
283. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130050/w1300503.png ; $W ( g )$ ; confidence 0.828
+
283. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a130070120.png ; $11 / \alpha$ ; confidence 0.210
  
284. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120060/w12006080.png ; $F \xi$ ; confidence 0.997
+
284. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130130/p13013057.png ; $\dot { k } _ { \pi }$ ; confidence 0.210
  
285. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120060/w120060103.png ; $A = F R$ ; confidence 0.992
+
285. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f12011086.png ; $Q ( \Omega ) = \tilde { O } ( U \# \Omega ) / \sum _ { j = 1 } ^ { n } \tilde { O } ( U \# ; \Omega )$ ; confidence 0.210
  
286. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120100/w12010038.png ; $D T j =$ ; confidence 0.747
+
286. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130230/m13023015.png ; $S = Spec k$ ; confidence 0.210
  
287. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w120070117.png ; $\xi A$ ; confidence 0.997
+
287. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090670/s09067019.png ; $M _ { A } , B$ ; confidence 0.210
  
288. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w12007095.png ; $k = 2 n$ ; confidence 0.966
+
288. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130020/h1300205.png ; $\{ w ^ { 1 } , \dots , w ^ { q } \} \subset A ^ { x }$ ; confidence 0.210
  
289. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120080/w12008014.png ; $W ( f )$ ; confidence 0.990
+
289. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g120040101.png ; $x , \xi p _ { m } ( x , \xi ) = 0$ ; confidence 0.209
  
290. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120080/w12008046.png ; $H ( X )$ ; confidence 0.966
+
290. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130100/p130100132.png ; $\Gamma$ ; confidence 0.209
  
291. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090178.png ; $B = T U$ ; confidence 0.999
+
291. https://www.encyclopediaofmath.org/legacyimages/z/z120/z120020/z1200205.png ; $F _ { N } = F _ { N } - 1 + F _ { N } - 2$ ; confidence 0.209
  
292. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090335.png ; $L ( g )$ ; confidence 0.089
+
292. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013042.png ; $X _ { i } \in \operatorname { sl } _ { 2 } ( C )$ ; confidence 0.209
  
293. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110960/b11096050.png ; $G ( K )$ ; confidence 0.944
+
293. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074520/p07452015.png ; $b \in F$ ; confidence 0.209
  
294. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011098.png ; $p ( n )$ ; confidence 0.498
+
294. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w130090108.png ; $\| \varphi \| _ { L ^ { 2 } ( \mu ) } ^ { 2 } = \sum _ { n = 0 } ^ { \infty } n ! | g _ { n } | _ { L } ^ { 2 } 2 _ { ( [ 0,1 ] ^ { n } ) }$ ; confidence 0.209
  
295. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450155.png ; $3 g - 3$ ; confidence 1.000
+
295. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130050/o13005011.png ; $\Theta = \left( \begin{array} { l l l } { T } & { K } & { J } \\ { \mathfrak { H } } & { \square } & { E } \end{array} \right)$ ; confidence 0.209
  
296. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w13008093.png ; $n < 2 N$ ; confidence 0.975
+
296. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120240/e120240132.png ; $\left[ \begin{array} { l } { 1 } \\ { 8 } \end{array} \right]$ ; confidence 0.209
  
297. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w13008096.png ; $M < 2 N$ ; confidence 0.998
+
297. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120510/b12051082.png ; $100$ ; confidence 0.209
  
298. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120160/w12016015.png ; $D ( C )$ ; confidence 0.966
+
298. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130080/m13008041.png ; $A ^ { in / 0 ut } ( f ) = \operatorname { lim } _ { t \rightarrow \pm \infty } A _ { f } ^ { t }$ ; confidence 0.209
  
299. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120160/w1201601.png ; $W ( C )$ ; confidence 0.866
+
299. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120370/b12037032.png ; $j _ { 1 } , \dots , j _ { r }$ ; confidence 0.208
  
300. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110220/m11022021.png ; $W ( u )$ ; confidence 0.939
+
300. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120110/n12011066.png ; $\eta ( y ) = \left\{ \begin{array} { l l } { \operatorname { sup } \{ \xi ( x ) : x \in R ^ { n } , \psi ( x ) = y \} , } & { \psi ^ { - 1 } ( y ) \neq \emptyset } \\ { 0 , } & { \psi ^ { - 1 } ( y ) = \emptyset } \end{array} \right.$ ; confidence 0.208

Revision as of 00:10, 13 February 2020

List

1. f12011052.png ; $\chi _ { F } ( z )$ ; confidence 0.238

2. a01081044.png ; $1$ ; confidence 0.238

3. f13009084.png ; $n = k r , k r + 1 , \dots$ ; confidence 0.238

4. s13053080.png ; $r _ { f }$ ; confidence 0.238

5. w12008017.png ; $f ( q , p ) , g ( q , p ) \in S ( R ^ { 2 n } )$ ; confidence 0.238

6. o13001042.png ; $f ( x ) = \frac { 1 } { ( 2 \pi ) ^ { 3 / 2 } } \int _ { R ^ { 3 } } \hat { f } ( \xi ) u ( x , \xi ) d \xi , \xi : = k$ ; confidence 0.238

7. z13013015.png ; $r \leq r D$ ; confidence 0.238

8. s12034026.png ; $SH ^ { k } ( M , \omega , \phi _ { 1 } ) \otimes SH ^ { k } ( M , \omega , \phi _ { 2 } ) \rightarrow SH ^ { k } ( M , \omega , \phi _ { 2 } . \phi _ { 1 } )$ ; confidence 0.238

9. m130140139.png ; $f ( z ) = ( L f ) ( z ) = ( L _ { f , n } f ) ( z ) =$ ; confidence 0.238

10. a110580133.png ; $20$ ; confidence 0.237

11. d03179058.png ; $K ^ { X }$ ; confidence 0.237

12. l12013082.png ; $f _ { 1 } , \dots , f _ { m } \in Z [ X _ { 1 } , \dots , X _ { n } ]$ ; confidence 0.237

13. c1200206.png ; $u _ { t } ( x ) = t ^ { - \gamma } u ( x / t )$ ; confidence 0.237

14. b13026098.png ; $H _ { N } ( S ^ { x } )$ ; confidence 0.237

15. z12001092.png ; $c = \operatorname { ad } e _ { - 1 } ^ { p ^ { m } - 1 } ( e _ { p ^ { m } - 2 } ^ { ( p + 1 ) / 2 } )$ ; confidence 0.237

16. c11014018.png ; $a _ { 1 } , \dots , a _ { m }$ ; confidence 0.237

17. c0214503.png ; $P$ ; confidence 0.237

18. a12008023.png ; $\alpha ( u , v ) = \int _ { \Omega } [ \sum _ { i , j = 1 } ^ { m } \alpha _ { i , j } \frac { \partial u } { \partial x _ { i } } \frac { \partial \sigma } { \partial x _ { j } } + c ( x ) u v ] d x$ ; confidence 0.237

19. a13013020.png ; $0.00$ ; confidence 0.237

20. i13003069.png ; $P _ { i }$ ; confidence 0.237

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

22. c120180268.png ; $S ^ { 2 } E \subset \otimes ^ { * } E$ ; confidence 0.237

23. p12014011.png ; $a _ { x } = \lambda \theta ^ { x } + \epsilon _ { y }$ ; confidence 0.237

24. k05508015.png ; $h = \sum _ { \mu , \nu } h _ { \mu \nu } ( z ) d z _ { \mu } \bigotimes d z _ { \nu }$ ; confidence 0.237

25. n067520495.png ; $P \in Z ^ { l }$ ; confidence 0.237

26. a013000103.png ; $C ^ { 1 }$ ; confidence 0.237

27. c12017099.png ; $Z ^ { n + k + 1 } = \sum _ { \alpha j } Z ^ { i } Z ^ { j + k }$ ; confidence 0.237

28. c0211101.png ; $H ^ { n } ( X ; G ) = \operatorname { lim } _ { \square } H ^ { n } ( \alpha ; G )$ ; confidence 0.237

29. l13010037.png ; $f _ { s t } ( x )$ ; confidence 0.237

30. s12022036.png ; $\sum _ { k = 0 } ^ { \infty } \operatorname { exp } ( - \lambda _ { j } t ) \sim ( 4 \pi t ) ^ { - \operatorname { dim } ( M ) / 2 } \sum _ { k = 0 } ^ { \infty } \alpha _ { k } t ^ { k }$ ; confidence 0.237

31. s13065045.png ; $F _ { \mu } ( z ) = \frac { 1 } { 2 \pi } \int _ { - \pi } ^ { \pi } R ( e ^ { i \theta } , z ) d \mu ( \theta )$ ; confidence 0.237

32. b12021033.png ; $+ \sum _ { 1 \leq i < j \leq k } ( - 1 ) ^ { i + j } X \otimes [ X , X _ { j } ] \wedge$ ; confidence 0.236

33. f110160167.png ; $\psi _ { \mathfrak { A } } ^ { l }$ ; confidence 0.236

34. d03029016.png ; $E _ { n } ( f ) = \operatorname { inf } _ { \varepsilon _ { k } } \operatorname { sup } _ { x \in Q } | f ( x ) - \sum _ { k = 0 } ^ { n } c _ { k } s _ { k } ( x ) | \geq$ ; confidence 0.236

35. z13011058.png ; $R _ { n } \stackrel { \omega } { \rightarrow } R \text { and } \operatorname { lim } _ { \varepsilon \rightarrow 0 } \operatorname { sup } _ { n } \int _ { 0 } ^ { \varepsilon } z R _ { n } ( d z ) = 0$ ; confidence 0.236

36. e13003059.png ; $C ^ { \prime }$ ; confidence 0.236

37. e13007076.png ; $S \ll ( T / N ) ^ { p } N ^ { Y }$ ; confidence 0.236

38. s12023050.png ; $\frac { \Gamma _ { p } [ \frac { \delta + n + p - 1 } { 2 } ] } { ( 2 \pi ) ^ { n } p / 2 | \Sigma | ^ { n / 2 } \Gamma _ { p } [ \frac { \delta + p - 1 } { 2 } ] }$ ; confidence 0.236

39. t130140178.png ; $| I _ { C }$ ; confidence 0.236

40. t12007056.png ; $\operatorname { Tr } ( g | V _ { N } ) = \alpha _ { N } ( g )$ ; confidence 0.236

41. w130080122.png ; $T _ { n } = T _ { n } T _ { 1 } ^ { - 1 } , \hat { u } _ { k } = T _ { 1 } ^ { k } u _ { k }$ ; confidence 0.236

42. m12009043.png ; $( P ( D ) ( \phi ) ) _ { \Delta } ( \xi ) = P ( \xi ) \hat { \phi } ( \xi )$ ; confidence 0.235

43. a130240370.png ; $2$ ; confidence 0.235

44. w120110226.png ; $S _ { 1 } ^ { 0 }$ ; confidence 0.235

45. t12007092.png ; $\sum _ { i > 0 } \left( \begin{array} { c } { m } \\ { i } \end{array} \right) ( u _ { Y } + i v ) _ { m + n - i } w =$ ; confidence 0.235

46. b01655026.png ; $\lambda _ { y }$ ; confidence 0.235

47. f1201106.png ; $P \overline { x } ^ { \delta }$ ; confidence 0.235

48. d12026021.png ; $\xi _ { x , k }$ ; confidence 0.234

49. s13054016.png ; $x _ { i j } ( a ) x _ { j } ( b ) = x _ { i j } ( a + b )$ ; confidence 0.234

50. m13013025.png ; $i j$ ; confidence 0.234

51. b11034011.png ; $e ^ { 2 } \pi$ ; confidence 0.234

52. n067520441.png ; $\dot { u } _ { i } = \tilde { \psi } _ { i } ( U ) + \tilde { \phi } _ { i } ( U ) , \quad i = 1 , \ldots , n$ ; confidence 0.234

53. a130040163.png ; $\langle A , F \rangle$ ; confidence 0.234

54. l1200505.png ; $R e$ ; confidence 0.234

55. b12013057.png ; $L _ { i j } ^ { p } ( G ) = L _ { i j } ^ { p }$ ; confidence 0.234

56. h13007034.png ; $\alpha _ { i } \in \hat { k }$ ; confidence 0.234

57. n06663037.png ; $H _ { p } ^ { \prime } ( M _ { 1 } , \dots , M _ { n } ; \Omega )$ ; confidence 0.233

58. x12001040.png ; $G _ { \text { inn } } = G \cap \operatorname { ln } n ( R )$ ; confidence 0.233

59. l0600404.png ; $| r _ { 1 } | \geq \ldots \gg | r _ { N } |$ ; confidence 0.233

60. b1302309.png ; $H _ { x } + 1$ ; confidence 0.233

61. s12020023.png ; $\left. \begin{array} { l l l l l l l l l } { 1 } & { 2 } & { 3 } & { 4 } & { } & { 9 } & { 2 } & { 3 } & { 6 } \\ { 5 } & { 6 } & { 7 } & { \square } & { \text { and } } & { 7 } & { 1 } & { 4 } & { \square } \\ { 8 } & { \square } & { \square } & { \square } & { } & { 5 } & { \square } & { \square } & { \square } \\ { 9 } & { \square } & { \square } & { \square } & { } & { 8 } & { \square } & { \square } \end{array} \right.$ ; confidence 0.233

62. a01130023.png ; $\overline { M }$ ; confidence 0.233

63. k055840365.png ; $K = C ^ { 2 n }$ ; confidence 0.233

64. g13006039.png ; $| x _ { i } | = \operatorname { max } _ { 1 \leq j \leq n } | x _ { j } |$ ; confidence 0.233

65. c12021020.png ; $P _ { N } \approx P _ { N } ^ { \prime }$ ; confidence 0.233

66. l1202008.png ; $\cup _ { i = 1 } ^ { m } A _ { i } \cup ( - A _ { i } ) = S ^ { x }$ ; confidence 0.233

67. s13059038.png ; $P _ { n } = M [ \frac { Q _ { n } ( t ) - Q _ { n } ( z ) } { t - z } ] , n = 0,1 ,$ ; confidence 0.233

68. b13010043.png ; $L _ { i k } ^ { 2 } ( D )$ ; confidence 0.232

69. v120020225.png ; $\delta ^ { * } : H ^ { n } ( \Gamma _ { S ^ { n } } ) \rightarrow H ^ { n + 1 } ( \Gamma _ { D \square ^ { n + 1 } } , \Gamma _ { S ^ { n } } )$ ; confidence 0.232

70. o13006067.png ; $H = \sqrt { k _ { 1 } } , k _ { 2 } = 0 A _ { 1 } ^ { k _ { 1 } } A _ { 2 } ^ { k _ { 2 } } \Phi ^ { * } E$ ; confidence 0.232

71. p13007051.png ; $\iota _ { \partial D } = f$ ; confidence 0.232

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

73. b12043040.png ; $\Delta x = x \otimes 1 + 1 \varnothing x$ ; confidence 0.232

74. a13018064.png ; $\| g _ { \operatorname { mod } e l s } ( L _ { n } )$ ; confidence 0.232

75. d120020148.png ; $c ^ { T } x + \overline { u } ^ { T } ( A _ { 1 } x - b _ { 1 } ) < \overline { q }$ ; confidence 0.232

76. a13004024.png ; $\Delta \operatorname { log } \varphi$ ; confidence 0.232

77. b12001015.png ; $B _ { i } ( x _ { m } , u , u _ { m } , u _ { m n } : x _ { m } ^ { \prime } , u ^ { \prime } , u _ { m } ^ { \prime } , u _ { m n } ^ { \prime } ) = 0$ ; confidence 0.231

78. t13005046.png ; $K ( A , X ) : 0 \rightarrow \Lambda ^ { 0 } ( X ) \stackrel { D _ { A } ^ { 0 } } { 4 } \ldots \stackrel { D _ { A } ^ { n - 1 } } { \rightarrow } \Lambda ^ { n } ( X ) \rightarrow 0$ ; confidence 0.231

79. f12016016.png ; $\sigma _ { \text { Ire } } ( T )$ ; confidence 0.231

80. b13021019.png ; $g _ { x x }$ ; confidence 0.231

81. p12017013.png ; $\operatorname { ker } \delta _ { A , B } \subseteq \operatorname { ker } \delta _ { A , B } ^ { * }$ ; confidence 0.231

82. w12001028.png ; $[ L _ { n } , L _ { m } ] = ( n - m ) L _ { n + m } + \frac { 1 } { 12 } ( n ^ { 3 } - n ) \delta _ { n , - m } \cdot C ^ { \prime }$ ; confidence 0.231

83. f12020014.png ; $e _ { 1 } , \dots , e _ { x } , - ( a _ { 0 } e _ { 1 } + \ldots + a _ { x } - 1 e _ { x } )$ ; confidence 0.231

84. a13006044.png ; $P _ { q } ^ { \dagger } ( n ) = \frac { 1 } { n } \sum _ { r | n } \mu ( r ) q ^ { n / r }$ ; confidence 0.230

85. g13003055.png ; $I _ { 0 , loc } = \{ ( u _ { j } ) _ { j \in N }$ ; confidence 0.230

86. b01540047.png ; $Z _ { 1 } , \dots , Z _ { \infty }$ ; confidence 0.230

87. k13001041.png ; $A | D _ { + } \rangle - A ^ { - 1 } \langle D _ { - } \} = ( A ^ { 2 } - A ^ { - 2 } ) \langle D _ { 0 } \}$ ; confidence 0.230

88. a13004022.png ; $\Delta H _ { D } \psi$ ; confidence 0.230

89. w12010031.png ; $\square ^ { \prime \prime } \Gamma _ { i j k } ^ { t }$ ; confidence 0.230

90. b11059041.png ; $\mathscr { S }$ ; confidence 0.230

91. b120430119.png ; $\Psi ( \alpha \bigotimes \beta ) = q \beta \otimes \alpha$ ; confidence 0.230

92. h11001013.png ; $\underline { L } = 1$ ; confidence 0.230

93. s13041042.png ; $( Q _ { N } )$ ; confidence 0.230

94. c12007015.png ; $\sum _ { i < n + 1 } ( - 1 ) ^ { n + 1 - i } \operatorname { pr } ( \alpha _ { 1 } , \ldots , \alpha _ { i + 1 } \alpha _ { i } , \ldots , \alpha _ { n + 1 } ) +$ ; confidence 0.229

95. d120020136.png ; $\vec { \mathfrak { c } } \frac { 1 } { \vec { k } } < 0$ ; confidence 0.229

96. z130110144.png ; $\mu _ { N } \rightarrow \infty \quad \text { but } \frac { \mu _ { \aleph } } { n } \rightarrow 0$ ; confidence 0.229

97. s12026023.png ; $f = ( 0 , \delta _ { t } \tilde { \otimes } f ^ { n } ) _ { n \in N }$ ; confidence 0.229

98. k13006031.png ; $\left( \begin{array} { c } { \alpha _ { k - 1 } } \\ { k - 1 } \end{array} \right) \leq m - \left( \begin{array} { c } { \alpha _ { k } } \\ { k } \end{array} \right)$ ; confidence 0.229

99. z13003076.png ; $\operatorname { sin } b , x$ ; confidence 0.229

100. q12007036.png ; $u _ { y } ( s | _ { 2 } )$ ; confidence 0.229

101. d12028063.png ; $\tilde { D } = \{ w : w _ { 1 } z _ { 1 } + \ldots + w _ { n } z _ { n } \neq 1 , z \in D \}$ ; confidence 0.229

102. m12013068.png ; $\delta _ { ( 1 ) } < K _ { ( 1 ) } / K _ { ( 2 ) }$ ; confidence 0.229

103. o130060146.png ; $C$ ; confidence 0.229

104. d13005012.png ; $2 ^ { r ( m - 1 ) } + 2 m$ ; confidence 0.229

105. b11045014.png ; $43$ ; confidence 0.229

106. o130010155.png ; $\tilde { \chi } ( \xi ) = \frac { 8 \pi } { \xi ^ { 2 } } \operatorname { lim } _ { \varepsilon \downarrow 0 } \int _ { S ^ { 2 } } A ( \theta ^ { \prime } , \alpha ) v _ { \varepsilon } ( \alpha , \theta ) d \alpha$ ; confidence 0.228

107. m12016066.png ; $t \in R ^ { p _ { 1 } n _ { 1 } }$ ; confidence 0.228

108. i13005036.png ; $a ( - k ) = \overline { a ( k ) } , b ( - k ) = \overline { b ( k ) }$ ; confidence 0.228

109. m13018031.png ; $n$ ; confidence 0.228

110. a130240536.png ; $Z _ { 23 }$ ; confidence 0.228

111. x120010101.png ; $\operatorname { Aut } ( R ) / \operatorname { ln } n ( R ) \cong H$ ; confidence 0.228

112. q12001038.png ; $\sum _ { k } \sum _ { l } \overline { c } _ { k } c _ { l } S ( f _ { k } - \overline { f } _ { l } ) \geq 0$ ; confidence 0.228

113. o130060120.png ; $\Phi ^ { * } ( \xi _ { 1 } \sigma _ { 1 } + \xi _ { 2 } \sigma _ { 2 } ) | _ { \mathfrak { E } ( \lambda ) } : \mathfrak { E } ( \lambda ) \rightarrow \tilde { \mathfrak { C } } ( \lambda )$ ; confidence 0.228

114. p1301008.png ; $\hat { K } = \{ z \in C ^ { n } : | P ( z ) | \leq \| P \| _ { K } , \forall P \in P \}$ ; confidence 0.228

115. i13004018.png ; $0 t$ ; confidence 0.228

116. s09067093.png ; $\theta \rightarrow g \theta = ( g _ { x } ^ { i } d u ^ { i \varepsilon } )$ ; confidence 0.228

117. e12002048.png ; $p * ( . . )$ ; confidence 0.227

118. a01166066.png ; $x _ { 2 } , \dots , x _ { x }$ ; confidence 0.227

119. v13005092.png ; $v \in V ( n )$ ; confidence 0.227

120. k13002048.png ; $\tau = 4 \int _ { 0 } ^ { 1 } \int _ { 0 } ^ { 1 } C _ { X , Y ^ { \prime } } ( u , v ) d C _ { X , Y ^ { \prime } } ( u , v ) - 1$ ; confidence 0.227

121. s130510146.png ; $\infty ( L _ { 1 } ) \oplus \infty ( L _ { 2 } ) = \infty ( L _ { 2 } ) \oplus \infty ( L _ { 1 } ) = \infty ( \emptyset )$ ; confidence 0.227

122. b12030032.png ; $A = - \sum _ { k , 1 = 1 } ^ { N } \frac { \partial } { \partial y _ { k } } ( a _ { k l } ( y ) \frac { \partial } { \partial y } )$ ; confidence 0.226

123. n12011062.png ; $\xi ( , \dots , . )$ ; confidence 0.226

124. a13031078.png ; $\mu _ { \gamma } ( X )$ ; confidence 0.226

125. s13050021.png ; $\frac { | \nabla ( A ) | } { \left( \begin{array} { c } { n } \\ { l + 1 } \end{array} \right) } \geq \frac { | A | } { \left( \begin{array} { l } { n } \\ { l } \end{array} \right) }$ ; confidence 0.226

126. h13002055.png ; $\{ w ( a ) \} _ { a \in A }$ ; confidence 0.226

127. s120230153.png ; $( X A _ { 1 } X ^ { \prime } , \ldots , X A _ { s } X ^ { \prime } ) \sim L _ { s } ^ { ( 1 ) } ( f _ { 1 } , \frac { n _ { 1 } } { 2 } , \ldots , \frac { n _ { s } } { 2 } )$ ; confidence 0.226

128. f11016049.png ; $f _ { \mathfrak { B } }$ ; confidence 0.226

129. a120270119.png ; $\rho : G \rightarrow S p _ { 2 n } ( C ) \rightarrow G k _ { 2 n } ( C )$ ; confidence 0.226

130. a11032018.png ; $e ^ { Z }$ ; confidence 0.225

131. c1200309.png ; $f ( , x ) : J \rightarrow R ^ { m }$ ; confidence 0.225

132. a130040415.png ; $\operatorname { Aod } ^ { * } L _ { D }$ ; confidence 0.225

133. o130010153.png ; $\tilde { X } ( \xi )$ ; confidence 0.225

134. b130200104.png ; $a \in \mathfrak { g } ^ { \alpha }$ ; confidence 0.225

135. b13023021.png ; $M _ { x } = m _ { 0 } \ldots m _ { x } - 1$ ; confidence 0.225

136. c1102508.png ; $20$ ; confidence 0.225

137. t13014064.png ; $G l _ { Q } ( d ) = \prod _ { j \in Q _ { 0 } } Gl ( v _ { j } , K )$ ; confidence 0.225

138. t12020022.png ; $\operatorname { inf } _ { z _ { j } } \operatorname { max } _ { k \in S } ( \frac { | \sum _ { j = 1 } ^ { n } b _ { j } z _ { j } ^ { k } | \psi ( k , n ) } { M _ { d } ( k ) } ) ^ { 1 / k }$ ; confidence 0.225

139. t12020063.png ; $R _ { n } = \operatorname { min } _ { z _ { j } } \operatorname { max } _ { k = 1 , \ldots , n } | s _ { k } |$ ; confidence 0.225

140. c02327021.png ; $p \in I$ ; confidence 0.224

141. d12030013.png ; $g : R _ { + } \times R ^ { m } \rightarrow L ( R ^ { m } , R ^ { m } )$ ; confidence 0.224

142. f04049018.png ; $v _ { 2 } + 2$ ; confidence 0.224

143. c13015014.png ; $\alpha \in N _ { 0 } ^ { x }$ ; confidence 0.224

144. r130080135.png ; $\sum _ { j = 1 } ^ { \infty } \lambda _ { j } ^ { - 1 } ( u , \varphi ; ) _ { 0 } \varphi _ { j } ( x ) = \sum _ { j = 1 } ^ { \infty } w _ { j } \varphi _ { j } ( x ) = w ( x )$ ; confidence 0.224

145. v09604019.png ; $P ( Y \backslash T ) \} P ( Z < T )$ ; confidence 0.224

146. b12002030.png ; $X _ { i } = Q ( U _ { i } )$ ; confidence 0.224

147. b12003038.png ; $\$ ; confidence 0.224 148. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120070/g12007040.png ; $K O _ { m } ( R \pi ) = Z _ { m } ^ { \pi } / i ^ { * } Z _ { m + 1 } ^ { \pi }$ ; confidence 0.224 149. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047580/h04758011.png ; $X _ { \nu }$ ; confidence 0.223 150. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a0105503.png ; $g \in G$ ; confidence 0.223 151. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016098.png ; $K$ ; confidence 0.223 152. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130020/j13002025.png ; $- E X ( 1 + o ( 1 ) )$ ; confidence 0.223 153. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120300/c12030068.png ; $B \times _ { \alpha } Z \simeq O _ { \aleph } \otimes K$ ; confidence 0.223 154. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t1301303.png ; $p \cdot \operatorname { dim } _ { \Lambda } T \leq 1$ ; confidence 0.223 155. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130140/r13014028.png ; $f ( x ) \mapsto ( S ^ { \alpha } f ) ( x ) = \int _ { | \xi | \leq 1 } \hat { f ( \xi ) } ( 1 - | \xi | ^ { 2 } ) ^ { \alpha } e ^ { 2 \pi i x . \xi } d \xi$ ; confidence 0.223 156. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130090/f13009025.png ; $\left. \begin{array}{l}{ U _ { 0 } ( x , y ) = 0 }\\{ U _ { 1 } ( x , y ) = 1 }\\{ U _ { n } ( x , y ) = x U _ { n - 1 } ( x , y ) + y U _ { n - 2 } ( x , y ) }\\{ n = 2 , 3 , \ldots }\end{array} \right.$ ; confidence 0.223 157. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120050/d12005068.png ; $F$ ; confidence 0.223 158. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120030/a12003012.png ; $x - a | < b - a$ ; confidence 0.223 159. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130090/r1300904.png ; $a = ( \alpha _ { 1 } , \dots , a _ { n } ) \in R ^ { n } \backslash \{ 0 \}$ ; confidence 0.222 160. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017042.png ; $X \in ker \delta _ { A } * _ { , B } *$ ; confidence 0.222 161. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130050/e1300505.png ; $\partial _ { X } u$ ; confidence 0.222 162. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050159.png ; $c ^ { - 2 }$ ; confidence 0.222 163. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l057000146.png ; $\Gamma \vdash N : \sigma$ ; confidence 0.222 164. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057020/l05702059.png ; $k = \overline { k } _ { S }$ ; confidence 0.221 165. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120200/d12020013.png ; $\sum _ { \mathfrak { W } = 1 } ^ { \mathfrak { N } } m ^ { - s }$ ; confidence 0.221 166. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s120320101.png ; $M ^ { N }$ ; confidence 0.221 167. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120050/s12005091.png ; $w _ { 1 } , \dots , w _ { N } \in \Omega$ ; confidence 0.221 168. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b12042064.png ; $ev _ { V } ^ { \prime } : V ^ { * } \otimes V \rightarrow \underline { 1 }$ ; confidence 0.221 169. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097590/w09759034.png ; $\phi = \sum \phi _ { v } : WC ( A , k ) \rightarrow \sum _ { v } WC ( A , k _ { v } )$ ; confidence 0.221 170. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009054.png ; $= \{ \frac { m } { 1 + \alpha ^ { 2 } } \int _ { 0 } ^ { z } \frac { p _ { 1 } ( s ) - \alpha i } { s ^ { 1 - \frac { m } { 1 + \alpha i } } } e ^ { \frac { m } { 1 + \alpha ^ { 2 } } \int _ { 0 } ^ { s } \frac { p _ { 0 } ( t ) - 1 } { t } d t } d s \}$ ; confidence 0.221 171. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120270/a12027065.png ; $n _ { P }$ ; confidence 0.221 172. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130020/j13002020.png ; $\epsilon = \operatorname { max } E$ ; confidence 0.221 173. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120140/w12014031.png ; $n < n$ ; confidence 0.221 174. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130060/c13006036.png ; $W = \langle A _ { 1 } , \dots , A _ { r } \}$ ; confidence 0.221 175. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014072.png ; $q ( v ) = \operatorname { dim } G _ { Q } ( v ) - \operatorname { dim } A _ { Q } ( v )$ ; confidence 0.221 176. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014079.png ; $q g : Z ^ { n } \rightarrow Z$ ; confidence 0.220 177. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130040/t13004026.png ; $y _ { x } ^ { x } ( x )$ ; confidence 0.220 178. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l120120215.png ; $z _ { t o t }$ ; confidence 0.220 179. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048070/h04807023.png ; $T ^ { 2 } = \frac { Y ^ { 2 } } { \chi _ { N } ^ { 2 } / n } = t _ { N } ^ { 2 }$ ; confidence 0.220 180. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120130/t12013013.png ; $\frac { \partial L _ { i } } { \partial x _ { N } } = [ ( L _ { 1 } ^ { N } ) _ { + } , L _ { i } ]$ ; confidence 0.220 181. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090252.png ; $h ^ { * } = Hom _ { C } ( h , C )$ ; confidence 0.220 182. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120270/e12027026.png ; $\alpha \leq y _ { 1 } < x _ { 1 } < y _ { 2 } < x _ { 2 } < \ldots < x _ { m } < y _ { m } + 1 \leq b$ ; confidence 0.220 183. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040114.png ; $T , \psi \vdash _ { D } \varphi$ ; confidence 0.220 184. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130040/g130040177.png ; $T _ { X }$ ; confidence 0.219 185. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130240/f13024011.png ; $L ( a , b ) c = \{ a b c \rangle$ ; confidence 0.219 186. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130660/s13066019.png ; $\operatorname { span } \{ z ^ { - n - 1 } , \ldots , z ^ { - 1 } , 1 , z , \ldots , z ^ { n - 1 } \}$ ; confidence 0.219 187. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240383.png ; $H ^ { \prime }$ ; confidence 0.219 188. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130020/k13002030.png ; $( x ; y ; )$ ; confidence 0.219 189. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l120120106.png ; $U _ { \mathfrak { p } }$ ; confidence 0.219 190. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d1300605.png ; $: 2 ^ { \Xi } \rightarrow [ 0,1 ]$ ; confidence 0.219 191. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120280/a12028024.png ; $p _ { U } ( x )$ ; confidence 0.219 192. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130010/z13001036.png ; $z ^ { n - 1 } _ { \Re ( z ) }$ ; confidence 0.219 193. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130030/j13003090.png ; $z \mapsto z - 2 \{ a a z \} + \{ \alpha \{ a z \alpha \} a \}$ ; confidence 0.219 194. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130040/g130040129.png ; $M ( S ) = \int \theta ( x ) d H ^ { m } \| _ { R ( x ) }$ ; confidence 0.219 195. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130010/b130010101.png ; $Z \in H _ { N }$ ; confidence 0.218 196. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f120230131.png ; $= \frac { 1 } { k ! ! ! } \sum _ { \sigma } \operatorname { sign } \sigma \times \times [ K ( X _ { \sigma 1 } , \ldots , X _ { \sigma k } ) , L ( X _ { \sigma ( k + 1 ) } , \ldots , X _ { \sigma ( k + 1 ) } ) ] +$ ; confidence 0.218 197. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015010/b01501019.png ; $j _ { r } \circ \phi _ { r } = \phi _ { r + 1 } \circ g _ { \gamma }$ ; confidence 0.218 198. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120160/e12016018.png ; $d \mu _ { A }$ ; confidence 0.218 199. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110200/p1102006.png ; $a + 4$ ; confidence 0.218 200. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020082.png ; $3$ ; confidence 0.218 201. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120030/w12003015.png ; $I ( \Gamma )$ ; confidence 0.218 202. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c12008072.png ; $\Delta ( A , E ) = \sum _ { i = 0 } ^ { m } I \bigotimes D _ { i , n - i } A ^ { i } E ^ { m - i } = 0$ ; confidence 0.218 203. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110167.png ; $\operatorname { sup } _ { x \in K \atop \xi \in R ^ { n } } | ( D _ { x } ^ { \alpha } D _ { \xi } ^ { \beta } r _ { m - 2 } ) ( x , \xi ) | ( 1 + | \xi | ) ^ { 2 - m + | \beta | } < \infty$ ; confidence 0.218 204. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130010/g13001058.png ; $\operatorname { Tr } _ { E / F } ( \beta _ { i } \gamma _ { j } ) = \delta _ { i j } \text { for } i , j = 0 , \dots , n - 1$ ; confidence 0.218 205. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120170/b12017024.png ; $L _ { 0 } ^ { p }$ ; confidence 0.217 206. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c12017093.png ; $Z ^ { n + 1 } = p ( Z , Z ) \equiv \sum _ { 0 \leq i + j \leq n } \alpha _ { i j } Z ^ { i } Z ^ { j }$ ; confidence 0.217 207. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120070/q12007041.png ; $\Delta E = E \otimes g + 1 \otimes E , \epsilon E = 0 , S E = - E g ^ { - 1 } , \Delta F = F \otimes 1 + g ^ { - 1 } \bigotimes F , \epsilon F = 0 , S F = - g F$ ; confidence 0.217 208. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018026.png ; $Fm _ { \ell }$ ; confidence 0.217 209. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b13029019.png ; $I ( M ) = 1 _ { A } ( M / \mathfrak { q } M ) - e _ { \mathfrak { q } } ^ { 0 } ( M )$ ; confidence 0.217 210. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130140/c13014045.png ; $p _ { 2 } ^ { k }$ ; confidence 0.217 211. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120500/b12050021.png ; $W ^ { 0 }$ ; confidence 0.217 212. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120210/t12021026.png ; $t ( M ; 2,2 ) = 2 ^ { | E | }$ ; confidence 0.217 213. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120150/p12015042.png ; $R ^ { \gamma }$ ; confidence 0.217 214. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008073.png ; $\left. \begin{array} { c } { ( \frac { d ^ { 2 } u } { d t ^ { 2 } } , v ) _ { L ^ { 2 } } + a ( u , v ) = ( f ( t ) , v ) _ { L ^ { 2 } } } \\ { \text { a.e.t } \in [ 0 , T ] , v \in V } \\ { u ( 0 ) = u _ { 0 } , \frac { d u } { d t } ( 0 ) = u _ { 1 } } \end{array} \right.$ ; confidence 0.217 215. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180465.png ; $\pi ^ { * } _ { 0 } g \in S ^ { 2 } \varepsilon _ { 0 }$ ; confidence 0.217 216. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l05700061.png ; $( \lambda x _ { 1 } ( \lambda x _ { 2 } \ldots ( \lambda x _ { n } M ) \ldots ) )$ ; confidence 0.217 217. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130130/c13013010.png ; $A = \frac { \partial Q } { \partial L } \cdot \frac { 1 } { 1 - \alpha } \dot { k } ^ { - \alpha }$ ; confidence 0.216 218. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120110/d12011012.png ; $N \times N$ ; confidence 0.216 219. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120280/d120280109.png ; $H ^ { n , n - 1 } ( C ^ { n } \backslash D )$ ; confidence 0.216 220. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f130290142.png ; $( f , \phi ) ^ { \leftarrow } ( b ) = \phi ^ { 0 p } \circ b \circ f$ ; confidence 0.216 221. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110020/m11002046.png ; $X \subseteq \underline { Q }$ ; confidence 0.216 222. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120300/c12030049.png ; $T _ { Y }$ ; confidence 0.216 223. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120360/b12036025.png ; $= \frac { \operatorname { exp } ( - \frac { ( p _ { x } ^ { 2 } + p _ { y } ^ { 2 } + p _ { z } ^ { 2 } ) } { 2 m k _ { B } T } ) d p _ { x } d p _ { y } d p _ { z } } { \int \int \int _ { - \infty } ^ { \infty } \operatorname { exp } ( \frac { - ( p _ { x } ^ { 2 } + p _ { y } ^ { 2 } + p _ { z } ^ { 2 } ) } { 2 m k _ { B } T } ) d p _ { x } d p _ { y } d p _ { z } }$ ; confidence 0.216 224. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f130100104.png ; $a \in U$ ; confidence 0.215 225. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120260/c12026084.png ; $U _ { k } ^ { N }$ ; confidence 0.215 226. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130200/m13020044.png ; $\{ J ( x ) , X \rangle = j ( X ) ( x ) , H _ { j } ( X ) = \alpha ^ { \prime } ( X )$ ; confidence 0.215 227. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130070/b1300703.png ; $BS ( m , n ) = \{ \alpha , b | \alpha ^ { - 1 } b ^ { m } \alpha = b ^ { n } \}$ ; confidence 0.215 228. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009059.png ; $g ( z ) = z e ^ { \int _ { 0 } ^ { z } \frac { p _ { 0 } ( t ) - 1 } { t } d t } _ { \in S }$ ; confidence 0.215 229. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120010/i12001010.png ; $\Phi ^ { * } ( t ) = \int _ { 0 } ^ { t + 1 } g _ { \Phi } ( s ) d s$ ; confidence 0.214 230. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040642.png ; $\{ M e _ { S _ { P } } ^ { * } \mathfrak { M } , F _ { S _ { P } } ^ { * } \mathfrak { M } \rangle$ ; confidence 0.214 231. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020070/c02007018.png ; $L _ { p } ( R ^ { x } )$ ; confidence 0.214 232. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040808.png ; $^ { * } L D S$ ; confidence 0.214 233. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020093.png ; $\omega \mathfrak { g } ^ { \alpha } = \mathfrak { g } ^ { - } a$ ; confidence 0.214 234. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130100/w13010048.png ; $( 0 , \kappa _ { i } )$ ; confidence 0.214 235. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e13003081.png ; $\operatorname { Hom } _ { K _ { \infty } } ( \Lambda ^ { \bullet } ( \mathfrak { g } / \mathfrak { k } ) , C _ { \infty } ( \Gamma \backslash G ( R ) \otimes M _ { C } ) )$ ; confidence 0.214 236. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110134.png ; $\operatorname { sup } _ { ( x , \xi ) \in R ^ { 2 n } , } | D _ { x } ^ { \alpha } D _ { \xi } ^ { \beta } \alpha ( x , \xi , h ) | h ^ { m - | \beta | } < \infty$ ; confidence 0.214 237. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120280/c12028011.png ; $\pi _ { N } ( X _ { N } , X _ { N } - 1 , X )$ ; confidence 0.214 238. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130030/z1300305.png ; $Z _ { r i } ( f )$ ; confidence 0.214 239. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120130/p12013015.png ; $K$ ; confidence 0.214 240. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054036.png ; $\{ \alpha , b \} = h ( a b ) h ( \alpha ) ^ { - 1 } h ( b ) ^ { - 1 }$ ; confidence 0.214 241. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d130060125.png ; $B e l x$ ; confidence 0.214 242. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180473.png ; $g \in S ^ { 2 } E$ ; confidence 0.214 243. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040660/f04066036.png ; $S _ { 1 } , \ldots , S _ { n }$ ; confidence 0.214 244. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006012.png ; $\frac { 1 } { 2 } \int _ { R ^ { 3 } R ^ { 3 } } \frac { \rho ( x ) \rho ( y ) } { | x - y | } d x d y + U$ ; confidence 0.214 245. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n06752088.png ; $A \in M _ { m \times n } ( K ) \subset M _ { m \times n } ( \hat { K } )$ ; confidence 0.213 246. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130190/f13019042.png ; $O ( N ^ { d } \operatorname { log } N )$ ; confidence 0.213 247. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120300/d12030047.png ; $E [ \gamma ( X ( t ) ) | \sigma ( Y ( u , u \leq t ) ] = \frac { E _ { \mu _ { X } } [ \gamma ( X ( t ) ) \psi ( t ) ] } { E _ { \mu _ { X } } [ \psi ( t ) ] }$ ; confidence 0.213 248. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180475.png ; $g | _ { D _ { 0 } } \times \{ 0 \}$ ; confidence 0.213 249. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l05700014.png ; $\lambda x \|$ ; confidence 0.213 250. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120240/d12024091.png ; $sl ( n , C )$ ; confidence 0.213 251. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130030/h13003075.png ; $00 ^ { 2 } n )$ ; confidence 0.213 252. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130490/s13049065.png ; $| N _ { 0 } | = | N _ { N } ( P ) | \leq | N _ { 1 } | = | N _ { N } ( P ) - 1 | \leq$ ; confidence 0.213 253. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120280/b12028018.png ; $g = B . O \cdot \frac { S _ { 1 } } { S _ { 2 } }$ ; confidence 0.213 254. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032066.png ; $m a = ( - 1 ) ^ { p ( m ) p ( x ) } a m$ ; confidence 0.213 255. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120500/b12050023.png ; $I ( t , x )$ ; confidence 0.213 256. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c12008043.png ; $\sum _ { l = 0 } ^ { m } ( l _ { m } \otimes D _ { m - i } ) [ A _ { 1 } ^ { i + 1 } , A _ { 1 } ^ { i } A _ { 2 } ] = 0 ( D _ { 0 } = I _ { n } )$ ; confidence 0.213 257. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130090/c13009011.png ; $j = 0 , \ldots , N$ ; confidence 0.213 258. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340115.png ; $X$ ; confidence 0.213 259. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130020/k13002025.png ; $U = \sum _ { u } u ( u - 1 ) / 2$ ; confidence 0.213 260. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130210/f13021036.png ; $B ( G ) \cap C _ { 0 } ( G ; C )$ ; confidence 0.212 261. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110137.png ; $( a _ { m } ^ { - 1 } b ) ( x , \xi ) = r _ { N } ( a , b ) +$ ; confidence 0.212 262. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a1103206.png ; $u _ { m + 1 } ^ { ( 1 ) } = u _ { m }$ ; confidence 0.212 263. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040661.png ; $= \{ M e _ { S _ { i } }$ ; confidence 0.212 264. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220113.png ; $R H _ { D } ^ { i + 1 } ( X / R , R ( i + 1 - m ) )$ ; confidence 0.212 265. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120270/e12027019.png ; $\Lambda _ { m } ^ { \alpha , \beta , r , s }$ ; confidence 0.212 266. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110220/d11022040.png ; $\frac { G ( x , t ) } { ( x - x _ { 1 } ) ^ { \prime } 1 \ldots ( x - x _ { m } ) ^ { r _ { m } } } > 0$ ; confidence 0.212 267. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200139.png ; $\geq | z _ { k } + 1 | \geq \ldots \geq | z _ { k } | = 1 \geq \ldots \geq | z _ { k _ { 2 } } - 1 | > > \frac { m } { m + n } \geq | z _ { k _ { 2 } } | \geq \ldots \geq | z _ { x } |$ ; confidence 0.211 268. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130260/a13026026.png ; $q ^ { n }$ ; confidence 0.211 269. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120270/b12027035.png ; $P ( X _ { 1 } = \alpha + n h \text { for somen } = 0,1 , \ldots ) = 1$ ; confidence 0.211 270. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120050/w12005036.png ; $A \subset \{ x ^ { 1 } , \ldots , x _ { n } \} ^ { 2 }$ ; confidence 0.211 271. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004085.png ; $\{ 21 , n \}$ ; confidence 0.211 272. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130070/h13007044.png ; $\operatorname { deg } f _ { j + r , \ldots , \operatorname { deg } } f _ { l } < \operatorname { deg } \Delta = r D$ ; confidence 0.211 273. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130100/z13010075.png ; $y \forall v ( ( v \in x \bigwedge ( \neg v = \emptyset ) ) \rightarrow \exists s \forall t ( ( t \in v \wedge t \in y ) \leftrightarrow s = t ) )$ ; confidence 0.211 274. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130050/z1300505.png ; $R = k [ x _ { 1 } , \dots , x _ { n } ] / I$ ; confidence 0.211 275. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014083.png ; $v \in N ^ { \wedge }$ ; confidence 0.211 276. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120300/b12030056.png ; $\phi ( , \eta ) Y \square \underline { r }$ ; confidence 0.211 277. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f120110198.png ; $\tilde { \mathscr { Q } } = \tilde { \mathscr { Q } } ( D ^ { n } )$ ; confidence 0.211 278. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l05700025.png ; $\lambda x i$ ; confidence 0.210 279. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110147.png ; $t _ { N } ( a , b ) \in S _ { sc 1 } ^ { m _ { 1 } + m _ { 2 } - N }$ ; confidence 0.210 280. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130410/s13041066.png ; $Q _ { n } ( z ) / T _ { n } ( z ) \rightrightarrows 2 / \phi ^ { \prime } ( z )$ ; confidence 0.210 281. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120030/w120030145.png ; $\gamma _ { 0 } \in \Gamma _ { W }$ ; confidence 0.210 282. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090271.png ; $e w - e i + 1 i + 1$ ; confidence 0.210 283. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a130070120.png ; $11 / \alpha$ ; confidence 0.210 284. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130130/p13013057.png ; $\dot { k } _ { \pi }$ ; confidence 0.210 285. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f12011086.png ; $Q ( \Omega ) = \tilde { O } ( U \# \Omega ) / \sum _ { j = 1 } ^ { n } \tilde { O } ( U \# ; \Omega )$ ; confidence 0.210 286. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130230/m13023015.png ; $S = Spec k$ ; confidence 0.210 287. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090670/s09067019.png ; $M _ { A } , B$ ; confidence 0.210 288. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130020/h1300205.png ; $\{ w ^ { 1 } , \dots , w ^ { q } \} \subset A ^ { x }$ ; confidence 0.210 289. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g120040101.png ; $x , \xi p _ { m } ( x , \xi ) = 0$ ; confidence 0.209 290. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130100/p130100132.png ; $\Gamma$ ; confidence 0.209 291. https://www.encyclopediaofmath.org/legacyimages/z/z120/z120020/z1200205.png ; $F _ { N } = F _ { N } - 1 + F _ { N } - 2$ ; confidence 0.209 292. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013042.png ; $X _ { i } \in \operatorname { sl } _ { 2 } ( C )$ ; confidence 0.209 293. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074520/p07452015.png ; $b \in F$ ; confidence 0.209 294. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w130090108.png ; $\| \varphi \| _ { L ^ { 2 } ( \mu ) } ^ { 2 } = \sum _ { n = 0 } ^ { \infty } n ! | g _ { n } | _ { L } ^ { 2 } 2 _ { ( [ 0,1 ] ^ { n } ) }$ ; confidence 0.209 295. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130050/o13005011.png ; $\Theta = \left( \begin{array} { l l l } { T } & { K } & { J } \\ { \mathfrak { H } } & { \square } & { E } \end{array} \right)$ ; confidence 0.209 296. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120240/e120240132.png ; $\left[ \begin{array} { l } { 1 } \\ { 8 } \end{array} \right]$ ; confidence 0.209 297. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120510/b12051082.png ; $100$ ; confidence 0.209 298. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130080/m13008041.png ; $A ^ { in / 0 ut } ( f ) = \operatorname { lim } _ { t \rightarrow \pm \infty } A _ { f } ^ { t }$ ; confidence 0.209 299. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120370/b12037032.png ; $j _ { 1 } , \dots , j _ { r }$ ; confidence 0.208 300. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120110/n12011066.png ; $\eta ( y ) = \left\{ \begin{array} { l l } { \operatorname { sup } \{ \xi ( x ) : x \in R ^ { n } , \psi ( x ) = y \} , } & { \psi ^ { - 1 } ( y ) \neq \emptyset } \\ { 0 , } & { \psi ^ { - 1 } ( y ) = \emptyset } \end{array} \right.$ ; confidence 0.208

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/NoNroff/71. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/NoNroff/71&oldid=44559