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(AUTOMATIC EDIT of page 56 out of 77 with 300 lines: Updated image/latex database (currently 22833 images latexified; order by Length, ascending: False.)
 
(AUTOMATIC EDIT of page 56 out of 77 with 300 lines: Updated image/latex database (currently 22833 images latexified; order by Confidence, ascending: False.)
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== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/g/g110/g110050/g11005020.png ; $\Gamma ( A )$ ; confidence 0.996
+
1. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j12002098.png ; $\leq 2 E [ X _ { 0 } ] + 2 E [ X _ { \infty } \operatorname { log } + \frac { X _ { \infty } } { E [ X _ { 0 } ] } ]$ ; confidence 0.541
  
2. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120100/l120100108.png ; $K _ { k 1 } ( V )$ ; confidence 0.194
+
2. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120310/b12031094.png ; $S _ { R } ^ { \delta } f ( x ) = \sum _ { \lambda _ { k } \leq R } ( 1 - \frac { \lambda _ { k } } { R } ) ^ { \delta } ( f , \phi _ { k } ) \phi _ { k } ( x )$ ; confidence 0.541
  
3. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120100/l120100142.png ; $p = n f ( n - 2 )$ ; confidence 0.762
+
3. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130200/a13020011.png ; $\langle x y | u v w \rangle \} =$ ; confidence 0.541
  
4. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120110/l12011016.png ; $v \in R ^ { x }$ ; confidence 0.429
+
4. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l12012067.png ; $a _ { p }$ ; confidence 0.541
  
5. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120110/l12011028.png ; $A = U ^ { T } D V$ ; confidence 0.997
+
5. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110220/d11022049.png ; $[ a , \infty )$ ; confidence 0.541
  
6. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110890/b11089084.png ; $b \in R ^ { x }$ ; confidence 0.293
+
6. https://www.encyclopediaofmath.org/legacyimages/z/z120/z120020/z1200208.png ; $1,2,3,5,8,13,21 , \ldots$ ; confidence 0.541
  
7. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110840/b1108405.png ; $b \in R ^ { m }$ ; confidence 0.483
+
7. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o130060113.png ; $E ( \lambda )$ ; confidence 0.541
  
8. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130060/l13006044.png ; $D _ { k } ^ { * }$ ; confidence 0.187
+
8. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130110/v13011029.png ; $= - \frac { i \Gamma } { 2 \pi } \operatorname { log } [ \operatorname { sin } \frac { \pi z } { l } ] + const$ ; confidence 0.541
  
9. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130060/l13006039.png ; $N _ { k } ^ { * }$ ; confidence 0.594
+
9. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120010/c120010174.png ; $f \mapsto \sum _ { k = 1 } ^ { n } a _ { k } \frac { \partial f } { \partial z _ { k } }$ ; confidence 0.541
  
10. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130060/l13006033.png ; $[ 0,1 ) ^ { k }$ ; confidence 0.997
+
10. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130070/b13007011.png ; $m = 1$ ; confidence 0.540
  
11. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130060/l13006041.png ; $W _ { k } ^ { * }$ ; confidence 0.179
+
11. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130160/c13016084.png ; $NP \neq co NP$ ; confidence 0.540
  
12. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130060/l13006062.png ; $m 0 = n , m 1 = a$ ; confidence 0.337
+
12. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040490/f0404908.png ; $B ( l _ { 1 } , l _ { 2 } )$ ; confidence 0.540
  
13. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022440/c022440108.png ; $\{ u _ { i } \}$ ; confidence 0.389
+
13. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120140/e120140109.png ; $\varepsilon \times \varphi$ ; confidence 0.540
  
14. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130080/l1300807.png ; $\rho \leq 1$ ; confidence 0.974
+
14. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006013.png ; $x \in \partial \Omega$ ; confidence 0.540
  
15. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060030/l0600308.png ; $P B \perp P Q$ ; confidence 0.997
+
15. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011530/a0115305.png ; $f ( x _ { 1 } , \ldots , x _ { x } )$ ; confidence 0.540
  
16. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060030/l06003053.png ; $\alpha \| c$ ; confidence 0.275
+
16. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120130/b12013075.png ; $2$ ; confidence 0.540
  
17. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060040/l06004012.png ; $g _ { 11 } ( z )$ ; confidence 0.180
+
17. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840211.png ; $\| T ^ { n } \|$ ; confidence 0.540
  
18. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060050/l06005064.png ; $\leq \pi / 2$ ; confidence 0.996
+
18. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006083.png ; $\| A ( t , u ) - A ( t , u ^ { \prime } ) \| _ { L ( Y , X ) } \leq \mu \| u - u ^ { \prime } \| _ { X }$ ; confidence 0.540
  
19. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l12012061.png ; $p \in P _ { L }$ ; confidence 0.324
+
19. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130180/m130180102.png ; $U \subset V$ ; confidence 0.540
  
20. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120130/l120130104.png ; $a \in Z ^ { x }$ ; confidence 0.513
+
20. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m13026087.png ; $\sigma ( x ) \alpha = x a$ ; confidence 0.540
  
21. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130100/l13010037.png ; $f _ { s t } ( x )$ ; confidence 0.237
+
21. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120020/h120020129.png ; $A X \subset X$ ; confidence 0.540
  
22. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120150/l12015028.png ; $( A , [ , ] , d )$ ; confidence 0.669
+
22. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i13003017.png ; $a = \sigma ( P )$ ; confidence 0.540
  
23. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120160/l12016033.png ; $( S ^ { 1 } )$ ; confidence 0.472
+
23. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063460/m063460194.png ; $z _ { f }$ ; confidence 0.540
  
24. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110110/d11011070.png ; $K \subset L$ ; confidence 0.785
+
24. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120020/t1200202.png ; $X = ( X _ { n } ) _ { n \in Z }$ ; confidence 0.540
  
25. https://www.encyclopediaofmath.org/legacyimages/l/l061/l061050/l06105088.png ; $F ( \omega )$ ; confidence 0.816
+
25. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120150/s12015084.png ; $H \rightarrow GL ( V )$ ; confidence 0.540
  
26. https://www.encyclopediaofmath.org/legacyimages/l/l061/l061050/l06105076.png ; $F ( E ) = f ( E )$ ; confidence 1.000
+
26. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130140/a13014017.png ; $r = 1$ ; confidence 0.539
  
27. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120190/l12019036.png ; $V = x ^ { * } P x$ ; confidence 0.934
+
27. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e12012016.png ; $Y _ { com } = ( Y _ { obs } , Y _ { mis } )$ ; confidence 0.539
  
28. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120190/l1201903.png ; $X A + B X + C = 0$ ; confidence 0.997
+
28. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021078.png ; $j = 1 , \ldots , n$ ; confidence 0.539
  
29. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120010/m12001046.png ; $I - C T ^ { - 1 }$ ; confidence 0.976
+
29. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130060/v13006016.png ; $\partial \nmid \partial y _ { x }$ ; confidence 0.539
  
30. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120030/m12003032.png ; $IF ( x ; T , G )$ ; confidence 0.506
+
30. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130040/q13004059.png ; $| f ( x ) |$ ; confidence 0.539
  
31. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120030/m120030111.png ; $\rho ( 0 ) = 0$ ; confidence 1.000
+
31. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a13032047.png ; $E ( Y _ { i } ^ { 2 } ) = \sigma ^ { 2 } < \infty$ ; confidence 0.539
  
32. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130010/m13001023.png ; $x _ { i } \in X$ ; confidence 0.499
+
32. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520367.png ; $X \equiv ( x _ { 1 } , \dots , x _ { x } ) = 0$ ; confidence 0.539
  
33. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130020/m13002012.png ; $D _ { A } \phi$ ; confidence 0.975
+
33. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e13003060.png ; $( \omega , s ) = \sum _ { \gamma \in \Gamma / \Gamma _ { P } } \gamma \omega _ { s }$ ; confidence 0.539
  
34. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130020/m13002035.png ; $( k - 1 ) ^ { 2 }$ ; confidence 1.000
+
34. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o13001058.png ; $\Gamma u = u _ { N }$ ; confidence 0.539
  
35. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120070/m12007056.png ; $x ^ { 3 } - x - 1$ ; confidence 1.000
+
35. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075480/p07548025.png ; $a , b \in D$ ; confidence 0.539
  
36. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110610/a11061087.png ; $f ( \alpha )$ ; confidence 0.988
+
36. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f120230114.png ; $= \omega \wedge [ D _ { 1 } , D _ { 2 } ] - ( - 1 ) ^ { ( q + k _ { 1 } ) k _ { 2 } } D _ { 2 } ( \omega ) \wedge D _ { 1 } , i ( \omega \wedge L ) = \omega \wedge i ( L )$ ; confidence 0.539
  
37. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120090/m12009013.png ; $P ( D ) ( u ) = g$ ; confidence 0.999
+
37. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130090/b1300906.png ; $D ( u ) = \int _ { R ^ { u } d x }$ ; confidence 0.539
  
38. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021790/c0217902.png ; $\sigma ( x )$ ; confidence 0.978
+
38. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i130090130.png ; $\mu _ { p } ( K / k ) > 0$ ; confidence 0.539
  
39. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120100/m12010032.png ; $\sigma ( y )$ ; confidence 1.000
+
39. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i130090141.png ; $\lambda _ { p } ( k _ { \infty } / k ) = \mu _ { p } ( k _ { \infty } / k ) = 0$ ; confidence 0.539
  
40. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062220/m06222050.png ; $n - h - 1 - \nu$ ; confidence 0.993
+
40. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130230/m13023054.png ; $v \in \Sigma \backslash \{ 0 \}$ ; confidence 0.539
  
41. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062220/m06222016.png ; $C _ { 1 } ^ { 2 }$ ; confidence 0.957
+
41. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096030/v09603011.png ; $\epsilon x ^ { \prime } = y - x + \frac { x ^ { 3 } } { 3 } , \quad y ^ { \prime } = - x , \quad \square ^ { \prime } = \frac { d } { d \tau }$ ; confidence 0.539
  
42. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120120/m12012054.png ; $d = q ^ { - 1 } b$ ; confidence 0.914
+
42. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023140/c023140190.png ; $G \nmid P$ ; confidence 0.539
  
43. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130070/m13007027.png ; $E _ { [ m , s ] }$ ; confidence 0.443
+
43. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020140.png ; $F \neq 0$ ; confidence 0.539
  
44. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130090/m13009020.png ; $\psi ( t , x )$ ; confidence 0.997
+
44. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130220/b13022042.png ; $l = 1 , \ldots , N$ ; confidence 0.539
  
45. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130080/m13008012.png ; $P _ { + } ^ { T }$ ; confidence 0.552
+
45. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040485.png ; $\Phi$ ; confidence 0.539
  
46. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022050/c02205014.png ; $x _ { i } ^ { 0 }$ ; confidence 0.987
+
46. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t130140155.png ; $( \operatorname { prin } K I ) \simeq Z ^ { I }$ ; confidence 0.538
  
47. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130110/m13011065.png ; $u = x - x ^ { 0 }$ ; confidence 0.988
+
47. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120260/m1202605.png ; $1 , \dots , 7$ ; confidence 0.538
  
48. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130110/m13011090.png ; $D v _ { i } / D t$ ; confidence 0.893
+
48. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075480/p07548017.png ; $\mathfrak { M } = < M , D ; \& ^ { * } , V ^ { * } , \supset ^ { * } , \neg ^ { * } >$ ; confidence 0.538
  
49. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055480/k0554805.png ; $\phi ( x , t )$ ; confidence 0.999
+
49. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030330/d03033019.png ; $H ^ { * } ( E _ { c } ^ { * } ( M ) )$ ; confidence 0.538
  
50. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120130/m120130134.png ; $F _ { 0 } = \xi$ ; confidence 0.997
+
50. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014120/a01412033.png ; $S ^ { \prime }$ ; confidence 0.538
  
51. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130130/m13013014.png ; $m _ { i j } = - 1$ ; confidence 0.934
+
51. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130020/b13002059.png ; $U _ { x } ( y ) = 2 x \circ ( x \circ y ) - x ^ { 2 } \circ y$ ; confidence 0.538
  
52. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120160/m12016044.png ; $\Phi _ { 11 }$ ; confidence 0.992
+
52. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120210/w12021045.png ; $s _ { 1 } = \ldots = s _ { k } = s$ ; confidence 0.538
  
53. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031930/d031930128.png ; $\Delta u = 0$ ; confidence 0.999
+
53. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010117.png ; $D$ ; confidence 0.538
  
54. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120190/m12019019.png ; $1 / 2 < \nu < 1$ ; confidence 0.997
+
54. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120270/m12027031.png ; $\sum _ { \alpha \in Z _ { f } } R ( \alpha ) =$ ; confidence 0.538
  
55. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120210/m12021028.png ; $t \in E ^ { x }$ ; confidence 0.281
+
55. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040188.png ; $\Omega ^ { * } S$ ; confidence 0.538
  
56. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130190/m1301902.png ; $1 \subset C$ ; confidence 0.591
+
56. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130090/f13009097.png ; $n = 0,1 , \ldots$ ; confidence 0.538
  
57. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064420/m0644206.png ; $SL _ { 2 } ( Z )$ ; confidence 0.738
+
57. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120050/h12005019.png ; $\beta _ { N } ( \phi , \rho )$ ; confidence 0.538
  
58. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130220/m13022063.png ; $T _ { g ^ { i } }$ ; confidence 0.812
+
58. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016740/b01674026.png ; $k = 0$ ; confidence 0.538
  
59. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016720/b01672055.png ; $\partial f$ ; confidence 0.998
+
59. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130100/c13010028.png ; $a \in [ 0 , + \infty ]$ ; confidence 0.538
  
60. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120230/m12023047.png ; $d f _ { t } ( x )$ ; confidence 0.958
+
60. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040519.png ; $D$ ; confidence 0.538
  
61. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120230/m12023013.png ; $t \in ( 0 , T )$ ; confidence 0.995
+
61. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120140/t12014032.png ; $\phi = ( F k ) \circ o$ ; confidence 0.537
  
62. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130230/m130230124.png ; $( ( X , B ) , f )$ ; confidence 0.999
+
62. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120210/e12021047.png ; $( p _ { m } ^ { \prime } ( x ) ) _ { m > 1 }$ ; confidence 0.537
  
63. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120260/m1202605.png ; $1 , \dots , 7$ ; confidence 0.538
+
63. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120130/b12013036.png ; $C \backslash G$ ; confidence 0.537
  
64. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m13025032.png ; $M ( \Omega )$ ; confidence 0.991
+
64. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240482.png ; $n = \sum n$ ; confidence 0.537
  
65. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m1302508.png ; $\delta ( x )$ ; confidence 0.995
+
65. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120100/b12010038.png ; $S ^ { n } ( - t , x _ { 1 } , \dots , x _ { n } ) F _ { n } ( x _ { 1 } , \dots , x _ { n } ) =$ ; confidence 0.537
  
66. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m13026071.png ; $( b _ { \mu } )$ ; confidence 0.996
+
66. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120530/b12053025.png ; $( h _ { N } ) _ { N = 1 } ^ { \infty } 1$ ; confidence 0.537
  
67. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m130260112.png ; $B ( H ) / K ( H )$ ; confidence 0.962
+
67. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120200/w1202006.png ; $r \in H$ ; confidence 0.537
  
68. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m130260116.png ; $M ( A ) = B ( H )$ ; confidence 0.997
+
68. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130050/h13005052.png ; $\phi _ { x x } = [ u ( x ) - k ^ { 2 } \rho ( x ) ] \phi$ ; confidence 0.537
  
69. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130180/m130180102.png ; $U \subset V$ ; confidence 0.540
+
69. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006057.png ; $K = F _ { q } ( x )$ ; confidence 0.537
  
70. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130180/m130180131.png ; $E \subset F$ ; confidence 0.772
+
70. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520148.png ; $\varepsilon _ { A , K [ \lambda ] } = \{ e _ { i } ^ { n _ { i } } \}$ ; confidence 0.537
  
71. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130180/m130180155.png ; $\phi ( G ; s )$ ; confidence 1.000
+
71. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120260/a120260116.png ; $y _ { i } \cong \hat { y } _ { i }$ ; confidence 0.537
  
72. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130180/m130180141.png ; $H _ { n - 2 }$ ; confidence 0.883
+
72. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014071.png ; $h _ { i } \in Gl ( v _ { i } , K )$ ; confidence 0.537
  
73. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130180/m13018072.png ; $A \mapsto A$ ; confidence 0.913
+
73. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n06663086.png ; $E _ { v _ { 1 } , \ldots , v _ { n } } ( f ) _ { p }$ ; confidence 0.537
  
74. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120120/n1201207.png ; $t , - , x _ { 2 }$ ; confidence 0.133
+
74. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130020/h13002014.png ; $i \in \{ 1 , \dots , n \} \backslash I$ ; confidence 0.537
  
75. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120020/n12002066.png ; $m \in M _ { F }$ ; confidence 0.995
+
75. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290106.png ; $R ( I ) \rightarrow S p$ ; confidence 0.537
  
76. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120020/n12002052.png ; $\hat { m } = X$ ; confidence 0.647
+
76. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120240/d12024052.png ; $U ( h )$ ; confidence 0.537
  
77. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032130/d03213025.png ; $U \subset M$ ; confidence 0.923
+
77. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120070/t120070138.png ; $L - i$ ; confidence 0.537
  
78. https://www.encyclopediaofmath.org/legacyimages/n/n130/n130050/n1300505.png ; $( s , r , \mu )$ ; confidence 0.982
+
78. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130280/b13028017.png ; $x _ { x } \in G ( n )$ ; confidence 0.537
  
79. https://www.encyclopediaofmath.org/legacyimages/n/n130/n130050/n13005031.png ; $( s , r , \mu )$ ; confidence 0.999
+
79. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a11030046.png ; $\theta Y \circ \phi$ ; confidence 0.536
  
80. https://www.encyclopediaofmath.org/legacyimages/n/n130/n130050/n13005022.png ; $r \leq s \mu$ ; confidence 0.581
+
80. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130020/k13002092.png ; $\beta = 4 C _ { X , Y } ( \frac { 1 } { 2 } , \frac { 1 } { 2 } ) - 1$ ; confidence 0.536
  
81. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032600/d03260098.png ; $\mu _ { 1 } = 0$ ; confidence 0.955
+
81. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120020/k1200205.png ; $p ( m )$ ; confidence 0.536
  
82. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n06663062.png ; $0 < r - s < k$ ; confidence 0.996
+
82. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n06752035.png ; $d _ { i } \neq 0$ ; confidence 0.536
  
83. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n06663051.png ; $r _ { i } ^ { * }$ ; confidence 0.848
+
83. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120210/t12021011.png ; $t ( N )$ ; confidence 0.536
  
84. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n06663080.png ; $h \in R ^ { x }$ ; confidence 0.399
+
84. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023360/c02336052.png ; $\hat { U } _ { t }$ ; confidence 0.536
  
85. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066960/n0669609.png ; $n + \lambda$ ; confidence 0.999
+
85. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051880/i0518803.png ; $C$ ; confidence 0.536
  
86. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066960/n06696025.png ; $\lambda + 2$ ; confidence 0.491
+
86. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130070/h13007026.png ; $k ( t ) [ X _ { 1 } , \dots , X _ { n } ]$ ; confidence 0.536
  
87. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120100/n12010038.png ; $\nu = \xi / h$ ; confidence 0.905
+
87. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s120320122.png ; $\operatorname { ev } _ { X } ( f \otimes 1 ) = f ( x )$ ; confidence 0.536
  
88. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120110/n12011039.png ; $h _ { j } ^ { x }$ ; confidence 0.656
+
88. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020142.png ; $\operatorname { deg } F$ ; confidence 0.536
  
89. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120110/n1201107.png ; $I \{ x \} ( . )$ ; confidence 0.565
+
89. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110010/l1100104.png ; $\{ A ; P , + , . \}$ ; confidence 0.536
  
90. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520454.png ; $\Lambda = 0$ ; confidence 0.544
+
90. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120050/w12005051.png ; $A ^ { m } = R ^ { m } \oplus N ^ { m ^ { m } }$ ; confidence 0.536
  
91. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520496.png ; $Q \in N ^ { m }$ ; confidence 0.439
+
91. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120130/b12013067.png ; $B D$ ; confidence 0.536
  
92. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n06752059.png ; $\Delta j > 0$ ; confidence 0.984
+
92. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022320/c0223204.png ; $G ^ { * }$ ; confidence 0.536
  
93. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520218.png ; $( C , D ) \in G$ ; confidence 0.997
+
93. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120020/c12002047.png ; $\int _ { 0 } ^ { \infty } ( V _ { g } f ) ( \theta , t ) \frac { d t } { t } = c _ { g } f$ ; confidence 0.536
  
94. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520186.png ; $B = C ^ { T } A C$ ; confidence 0.999
+
94. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d120230184.png ; $D$ ; confidence 0.536
  
95. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520250.png ; $d j \neq 0$ ; confidence 0.877
+
95. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340104.png ; $v : S ^ { 2 } \rightarrow M$ ; confidence 0.536
  
96. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014090/a014090266.png ; $u \in R ^ { m }$ ; confidence 0.422
+
96. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120050/h12005038.png ; $B _ { 4 }$ ; confidence 0.536
  
97. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059120/l0591203.png ; $GL _ { n } ( K )$ ; confidence 0.132
+
97. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130270/a13027027.png ; $x _ { y }$ ; confidence 0.536
  
98. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520495.png ; $P \in Z ^ { l }$ ; confidence 0.237
+
98. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082320/r08232040.png ; $\{ x \in R ^ { x } : | x - x _ { 0 } | \leq R \}$ ; confidence 0.536
  
99. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520276.png ; $F ( A ) h _ { 0 }$ ; confidence 0.952
+
99. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t130050184.png ; $( L , A , R _ { B } )$ ; confidence 0.536
  
100. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520213.png ; $GL _ { S } ( K )$ ; confidence 0.504
+
100. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130260/b130260105.png ; $d [ f , S ^ { n } , S ^ { n } ] = \operatorname { deg } _ { B } [ \tilde { f } , B ( 1 ) , 0 ]$ ; confidence 0.536
  
101. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520334.png ; $\Gamma ( H )$ ; confidence 0.997
+
101. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060122.png ; $G _ { \lambda }$ ; confidence 0.535
  
102. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520274.png ; $h _ { 0 } \in H$ ; confidence 0.966
+
102. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130010/i13001080.png ; $d _ { ( 3,1 ^ { n - 3 } ) } ( L ( T ) )$ ; confidence 0.535
  
103. https://www.encyclopediaofmath.org/legacyimages/o/o110/o110010/o11001043.png ; $x , y , z \in G$ ; confidence 0.905
+
103. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120190/w12019010.png ; $R _ { p } ^ { 3 N } \times R _ { X } ^ { 3 N }$ ; confidence 0.535
  
104. https://www.encyclopediaofmath.org/legacyimages/o/o110/o110010/o11001031.png ; $X \subset G$ ; confidence 0.914
+
104. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k05584085.png ; $x \in L$ ; confidence 0.535
  
105. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o13001055.png ; $\Gamma u = u$ ; confidence 0.990
+
105. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046020/h04602013.png ; $x \mapsto y$ ; confidence 0.535
  
106. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o130010131.png ; $k = k _ { 0 } > 0$ ; confidence 0.992
+
106. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005027.png ; $f \in C ^ { 1 } ( [ 0 , T ] ; X )$ ; confidence 0.535
  
107. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068080/o0680807.png ; $A _ { i _ { 0 } }$ ; confidence 0.527
+
107. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008064.png ; $= \left( \begin{array} { c c } { \frac { d A ( t ) ^ { 1 / 2 } } { d t } A ( t ) ^ { - 1 / 2 } } & { i A ( t ) ^ { 1 / 2 } } \\ { i A ( t ) ^ { 1 / 2 } } & { 0 } \end{array} \right) \left( \begin{array} { c } { v _ { 0 } } \\ { v _ { 1 } } \end{array} \right) + \left( \begin{array} { c } { 0 } \\ { f ( t ) } \end{array} \right) , t \in [ 0 , T ]$ ; confidence 0.535
  
108. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130020/o13002025.png ; $D \leq 92.4$ ; confidence 0.982
+
108. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b130300113.png ; $A$ ; confidence 0.535
  
109. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130040/o1300409.png ; $\phi ( 0 ) = x$ ; confidence 0.999
+
109. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006089.png ; $m B$ ; confidence 0.535
  
110. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062300/m0623008.png ; $\rho ( x , y )$ ; confidence 0.998
+
110. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h12012040.png ; $t = d _ { Y } ^ { \prime } - d \gamma$ ; confidence 0.535
  
111. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130050/o13005037.png ; $T \subset A$ ; confidence 0.472
+
111. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010700/a01070027.png ; $b \in B$ ; confidence 0.535
  
112. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130080/o13008015.png ; $\{ 1,1,2 \}$ ; confidence 0.280
+
112. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130140/p13014035.png ; $| f ^ { C \rho } ( x ) - f ( x ) | = O ( \rho ) \text { as } \rho \rightarrow 0 , x \in U$ ; confidence 0.535
  
113. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120120/p12012016.png ; $R ^ { i x } b c v$ ; confidence 0.083
+
113. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130060/e1300601.png ; $d ( f , g ) = \operatorname { sup } \{ d ( f c , g c ) : c \in C \}$ ; confidence 0.534
  
114. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120120/p12012041.png ; $\{ 1 ( 11 ) \}$ ; confidence 1.000
+
114. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120110/k1201101.png ; $( u _ { t } + 6 u u _ { X } + u _ { X X X } ) _ { X } + 3 \sigma ^ { 2 } u _ { y } y = 0$ ; confidence 0.534
  
115. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120130/p12013025.png ; $\lambda > 0$ ; confidence 0.999
+
115. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c120170119.png ; $M \geq 0$ ; confidence 0.534
  
116. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120140/p1201404.png ; $\{ a _ { n } \}$ ; confidence 0.999
+
116. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010670/a0106709.png ; $\overline { \eta }$ ; confidence 0.534
  
117. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110670/a11067030.png ; $\{ u _ { N } \}$ ; confidence 0.665
+
117. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t12020053.png ; $h ( m , k ) = \sum _ { j = 1 } ^ { n } b _ { j } z _ { j } ^ { k } w _ { j }$ ; confidence 0.534
  
118. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130100/p130100109.png ; $P ( K ) = C ( K )$ ; confidence 0.999
+
118. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120010/b12001016.png ; $i = 1 , \dots , 4 , m , n = 1,2$ ; confidence 0.534
  
119. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130100/p130100183.png ; $K = \hat { K }$ ; confidence 0.527
+
119. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130010/k13001042.png ; $\langle D _ { + } \} + \langle D _ { - } \rangle = ( A + A ^ { - 1 } ) ( \langle D _ { 0 } \rangle + \langle D _ { \infty } \rangle )$ ; confidence 0.534
  
120. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130100/p130100102.png ; $\hat { K } = K$ ; confidence 0.620
+
120. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130080/d13008053.png ; $c \in \Delta$ ; confidence 0.534
  
121. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120150/p12015061.png ; $K _ { 0 } \in K$ ; confidence 0.872
+
121. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020104.png ; $\vec { c } _ { k } ^ { 1 } = c ^ { T } x ^ { ( k ) } + ( A _ { 1 } x ^ { ( k ) } - b _ { 1 } ) ^ { T } \overline { u } _ { 1 } - \overline { q }$ ; confidence 0.534
  
122. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120150/p12015055.png ; $X = G = R ^ { x }$ ; confidence 0.428
+
122. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130230/a1302307.png ; $\operatorname { lim } _ { n \rightarrow \infty } ( P Q ) ^ { n } f = P _ { U } \cap _ { V } f ^ { f } \text { for all } f \in H$ ; confidence 0.534
  
123. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074520/p0745207.png ; $B \subset P$ ; confidence 0.699
+
123. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c12021041.png ; $\{ P _ { h } ^ { \prime } \}$ ; confidence 0.534
  
124. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074520/p0745206.png ; $A \subset P$ ; confidence 0.583
+
124. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120240/f12024066.png ; $t \in [ t 0 , \infty )$ ; confidence 0.534
  
125. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074520/p07452012.png ; $P \subset R$ ; confidence 0.559
+
125. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130080/l13008037.png ; $\operatorname { dim } l = 0$ ; confidence 0.534
  
126. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130130/p13013034.png ; $SP ^ { - } ( n )$ ; confidence 0.938
+
126. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007053.png ; $\omega ( \alpha )$ ; confidence 0.534
  
127. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130130/p13013033.png ; $SP ^ { + } ( n )$ ; confidence 0.927
+
127. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012460/a012460144.png ; $x _ { j }$ ; confidence 0.534
  
128. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012200/a0122005.png ; $D \subset M$ ; confidence 0.996
+
128. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120030/k1200309.png ; $c _ { 1 } ( M ) _ { R } = 0$ ; confidence 0.534
  
129. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110380/h11038025.png ; $x \in R ^ { 2 }$ ; confidence 0.650
+
129. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b12015050.png ; $a _ { 1 } d _ { 1 } ^ { * } + \alpha _ { 2 } d _ { 2 } ^ { * }$ ; confidence 0.534
  
130. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130140/p13014027.png ; $p = \alpha x$ ; confidence 0.995
+
130. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025830/c02583068.png ; $i A$ ; confidence 0.534
  
131. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017060.png ; $\{ X _ { n } \}$ ; confidence 0.969
+
131. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120100/l120100145.png ; $\| \rho \| _ { L ^ { p } ( R ^ { n } ) } \leq A _ { N } N ^ { 1 / p }$ ; confidence 0.534
  
132. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p120170107.png ; $( A + i B ) x = 0$ ; confidence 0.846
+
132. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e13003040.png ; $\Gamma \backslash X$ ; confidence 0.534
  
133. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120010/q12001079.png ; $C \subset q$ ; confidence 0.575
+
133. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120070/e12007090.png ; $q _ { 1 } , \dots , q _ { t }$ ; confidence 0.534
  
134. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040100/f0401005.png ; $x \in R ^ { 4 }$ ; confidence 0.519
+
134. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520433.png ; $\lambda _ { j } \neq 0$ ; confidence 0.534
  
135. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120010/q12001074.png ; $X \in C ^ { 0 }$ ; confidence 0.590
+
135. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120270/a120270114.png ; $O _ { N }$ ; confidence 0.534
  
136. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023140/c02314089.png ; $H \subset G$ ; confidence 0.996
+
136. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020206.png ; $k \in P ^ { \prime }$ ; confidence 0.534
  
137. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022850/c022850102.png ; $4 \sqrt { 3 }$ ; confidence 0.281
+
137. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004058.png ; $\overline { D } _ { S } \rightarrow \overline { D } _ { T }$ ; confidence 0.534
  
138. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016052.png ; $\beta _ { k }$ ; confidence 0.970
+
138. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900182.png ; $\zeta \mapsto A ( \zeta )$ ; confidence 0.534
  
139. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130040/q13004032.png ; $K ( f ) \leq K$ ; confidence 0.998
+
139. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120260/e12026052.png ; $P ( \theta , t , \nu ) ( d \omega ) = \frac { 1 } { L _ { \mu } ( \theta ) } \operatorname { exp } \{ \theta , t ( \omega ) \} \nu ( d \omega )$ ; confidence 0.534
  
140. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130050/q13005015.png ; $h \in QS ( R )$ ; confidence 0.709
+
140. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130150/t13015037.png ; $f \in C _ { 0 } ( S )$ ; confidence 0.533
  
141. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130050/q130050104.png ; $a , b , x \in T$ ; confidence 0.979
+
141. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b12043083.png ; $s ] _ { 3 }$ ; confidence 0.533
  
142. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130050/q13005081.png ; $h \in QS ( T )$ ; confidence 0.411
+
142. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060040/l06004030.png ; $r _ { 1 } ^ { 2 } , \ldots , r _ { n } ^ { 2 }$ ; confidence 0.533
  
143. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120070/q12007098.png ; $h , g , f \in H$ ; confidence 0.907
+
143. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032081.png ; $T = \left( \begin{array} { c c } { P } & { Q } \\ { R } & { S } \end{array} \right)$ ; confidence 0.533
  
144. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120070/q12007082.png ; $\{ e _ { i } \}$ ; confidence 0.834
+
144. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s13064073.png ; $G ( a ) = \operatorname { exp } ( s ( 0 ) )$ ; confidence 0.533
  
145. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120080/q12008037.png ; $\rho \geq 1$ ; confidence 0.955
+
145. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032015.png ; $C$ ; confidence 0.533
  
146. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130010/r1300107.png ; $x _ { 0 } = 1 / f$ ; confidence 0.980
+
146. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006053.png ; $\mu ( N ) = - \frac { \partial E ^ { TF } ( N ) } { \partial N }$ ; confidence 0.533
  
147. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130040/r13004020.png ; $\dot { m } , 1$ ; confidence 0.155
+
147. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240285.png ; $\psi \in L$ ; confidence 0.533
  
148. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r130070101.png ; $f \in H _ { 1 }$ ; confidence 0.994
+
148. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120070/g12007021.png ; $2 z$ ; confidence 0.533
  
149. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r130070147.png ; $( f , g ) _ { H }$ ; confidence 0.996
+
149. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520328.png ; $\{ f _ { i } : i = 1,2 , \ldots \}$ ; confidence 0.533
  
150. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r13007076.png ; $\| f \| = 0$ ; confidence 0.996
+
150. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006069.png ; $m ^ { \perp Y } ( B ) = \sum _ { A ; B = A ^ { \downarrow Y } } m ( A )$ ; confidence 0.533
  
151. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r13007055.png ; $u \in H _ { + }$ ; confidence 0.464
+
151. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e1300301.png ; $G / Q$ ; confidence 0.533
  
152. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r13007057.png ; $v \in H _ { 0 }$ ; confidence 0.568
+
152. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120200/a12020066.png ; $X _ { j } = \operatorname { ker } ( T - t _ { j } I ) ^ { r _ { j } } , \quad ( j = 1 , \ldots , n )$ ; confidence 0.533
  
153. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r130080133.png ; $w \in H _ { 0 }$ ; confidence 0.908
+
153. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110266.png ; $g + 1$ ; confidence 0.533
  
154. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r130080108.png ; $A ^ { - 1 } K = I$ ; confidence 0.905
+
154. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120260/s12026041.png ; $\Omega = ( 1,0 , \ldots )$ ; confidence 0.533
  
155. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g045090189.png ; $w = f ( z , z 0 )$ ; confidence 0.553
+
155. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050228.png ; $G$ ; confidence 0.533
  
156. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130140/r1301407.png ; $\sigma ( R )$ ; confidence 0.996
+
156. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130010/z13001032.png ; $x ( z ) = Z ( x ( n ) )$ ; confidence 0.533
  
157. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130140/r13014015.png ; $R - \lambda$ ; confidence 0.999
+
157. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120190/e120190121.png ; $S ( b , d ( b , x ) )$ ; confidence 0.533
  
158. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130010/s13001012.png ; $R _ { S } ^ { * }$ ; confidence 0.973
+
158. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130090/m1300902.png ; $+ c ^ { 2 } ( \nabla - i \frac { q e } { \hbar } A ) ^ { 2 } + \frac { c ^ { 4 } m ^ { 2 } } { \hbar ^ { 2 } } ] \psi ( t , x )$ ; confidence 0.533
  
159. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s1300402.png ; $G = SL ( 2 , R )$ ; confidence 0.620
+
159. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130070/v13007021.png ; $\lambda V$ ; confidence 0.533
  
160. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004040.png ; $X _ { g } ^ { * }$ ; confidence 0.777
+
160. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830163.png ; $( 0 , \ldots , 0 )$ ; confidence 0.533
  
161. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004059.png ; $S \supset T$ ; confidence 0.870
+
161. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130080/v13008026.png ; $\| f + VMOA \| _ { * } \leq C \operatorname { limsup } _ { C \in T } \sqrt { \operatorname { area } ( K _ { \zeta } ) }$ ; confidence 0.532
  
162. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130110/s13011048.png ; $w \in S _ { n }$ ; confidence 0.134
+
162. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a11068027.png ; $p *$ ; confidence 0.532
  
163. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130110/s13011023.png ; $w _ { y } \in S$ ; confidence 0.370
+
163. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120080/w12008039.png ; $a , b \in R ^ { n }$ ; confidence 0.532
  
164. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120050/s12005051.png ; $X = P U | _ { 5 }$ ; confidence 0.714
+
164. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120370/b12037029.png ; $h ( g _ { j _ { 1 } } , \dots , g _ { j _ { r } } )$ ; confidence 0.532
  
165. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130130/s13013030.png ; $e ( F ( p ) | F )$ ; confidence 0.996
+
165. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022100/c02210015.png ; $( X _ { 1 } , \ldots , X _ { n } )$ ; confidence 0.532
  
166. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130130/s13013032.png ; $e ( F ( 4 ) | F )$ ; confidence 0.993
+
166. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230131.png ; $E ^ { k } = \{ [ \sigma ] _ { x } ^ { k } : x \in M , \sigma \in \Gamma _ { x } ( E ) \}$ ; confidence 0.532
  
167. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130340/s13034047.png ; $S l _ { 2 } ( C )$ ; confidence 0.578
+
167. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z130110140.png ; $k = 0 , \dots , q$ ; confidence 0.532
  
168. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130360/s1303603.png ; $X _ { t } ^ { + }$ ; confidence 0.768
+
168. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018015.png ; $\tau \in V o c$ ; confidence 0.532
  
169. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130370/s13037030.png ; $[ 0,1 ] ^ { k }$ ; confidence 0.994
+
169. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120110/m12011020.png ; $t ( h ) = T ( h ) \cup \partial T ( k ) \partial F \times D ^ { 2 }$ ; confidence 0.532
  
170. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120150/s12015036.png ; $g \in G _ { X }$ ; confidence 0.672
+
170. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120070/l12007036.png ; $[ y _ { 1 } \ldots y _ { k } ]$ ; confidence 0.532
  
171. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130390/s1303908.png ; $\eta ( n ) = n$ ; confidence 0.993
+
171. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110010/h1100101.png ; $M ( f ) = \operatorname { lim } _ { x \rightarrow \infty } \frac { 1 } { x } \cdot \sum _ { n < x } f ( n )$ ; confidence 0.532
  
172. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120160/s12016016.png ; $\| . \| _ { k }$ ; confidence 0.208
+
172. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130160/c130160109.png ; $w \in A$ ; confidence 0.532
  
173. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120160/s12016026.png ; $A ( q , d ) ( f )$ ; confidence 0.959
+
173. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060160.png ; $S _ { F }$ ; confidence 0.532
  
174. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120160/s12016010.png ; $a ^ { i } \in R$ ; confidence 0.478
+
174. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120280/s12028013.png ; $E ^ { n } ( X ) = [ \Sigma ^ { k } X , E _ { n + k } ] , \quad n \in Z$ ; confidence 0.532
  
175. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120170/s12017020.png ; $X = \{ a , b \}$ ; confidence 0.992
+
175. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120020/q12002023.png ; $1 \leq s \leq k$ ; confidence 0.532
  
176. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086020/s0860204.png ; $t ( 0 ) = t ( i )$ ; confidence 0.769
+
176. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f13010053.png ; $\varphi \in L _ { C } ^ { p } ( G )$ ; confidence 0.532
  
177. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120180/s12018050.png ; $S ^ { \perp }$ ; confidence 0.675
+
177. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130010/e1300101.png ; $f , f _ { 1 } , \dots , f _ { m } \in R : = k [ x _ { 1 } , \dots , x _ { n } ]$ ; confidence 0.532
  
178. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120180/s12018034.png ; $\{ x , a \} = 0$ ; confidence 0.432
+
178. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130070/b13007065.png ; $\langle a ^ { k } b a ^ { - k } | k \geq 1 \rangle$ ; confidence 0.532
  
179. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130480/s13048063.png ; $( G , G _ { 0 } )$ ; confidence 0.994
+
179. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120020/e12002055.png ; $[ \Sigma X , Y ] \cong [ X , \Omega Y ]$ ; confidence 0.532
  
180. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s13051074.png ; $( u , v ) \in E$ ; confidence 0.994
+
180. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015330/b01533046.png ; $p _ { 1 } , \dots , p _ { m }$ ; confidence 0.531
  
181. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s13051029.png ; $( u , v ) \in E$ ; confidence 0.994
+
181. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062000/m06200011.png ; $( Z _ { n } ) _ { n \in Z }$ ; confidence 0.531
  
182. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510138.png ; $k \in Z ^ { 0 }$ ; confidence 0.896
+
182. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130080/l13008015.png ; $\operatorname { log } \operatorname { max } \{ | P _ { i } ( \omega ) | \} \geq - d ^ { \mu } ( c _ { 1 } d + c _ { 2 } h ) + c _ { 3 } d ^ { \nu } \operatorname { log } \frac { \rho } { | \omega | }$ ; confidence 0.531
  
183. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510108.png ; $\gamma ( u )$ ; confidence 0.996
+
183. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120150/e1201508.png ; $\frac { d ^ { 2 } x ^ { i } } { d t ^ { 2 } } + g ^ { i } ( x , \dot { x } , t ) = 0 , \quad i = 1 , \dots , n$ ; confidence 0.531
  
184. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510109.png ; $\gamma ( v )$ ; confidence 0.989
+
184. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a1201205.png ; $A = ( a _ { i } j )$ ; confidence 0.531
  
185. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510132.png ; $c ( w ) < c ( u )$ ; confidence 0.998
+
185. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120150/s120150109.png ; $\hat { U } \rightarrow G ( x )$ ; confidence 0.531
  
186. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s13051092.png ; $O ( | M + | E | )$ ; confidence 0.502
+
186. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t130050161.png ; $\sigma _ { 1 } ( A ) = \sigma _ { le } ( A ) = \sigma _ { re } ( A ) = \sigma _ { Te } ( A ) = S ^ { 3 }$ ; confidence 0.531
  
187. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120240/s12024048.png ; $z _ { i } ^ { N }$ ; confidence 0.527
+
187. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t12005011.png ; $i \in \{ 0 , \dots , n \}$ ; confidence 0.531
  
188. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120240/s12024040.png ; $H _ { x } ^ { S }$ ; confidence 0.750
+
188. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120010/h12001035.png ; $X _ { ( v , w ) } ^ { ( 1 ) } = \operatorname { Hom } ( T _ { v } V \rightarrow T _ { w } W )$ ; confidence 0.531
  
189. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120240/s12024036.png ; $E \times ( )$ ; confidence 0.756
+
189. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300105.png ; $4$ ; confidence 0.531
  
190. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054047.png ; $\{ a , b \} = 1$ ; confidence 0.888
+
190. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130050/q13005048.png ; $h _ { 1 } , h _ { 2 } \in QS ( R )$ ; confidence 0.531
  
191. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s130540104.png ; $x _ { i } ; ( . )$ ; confidence 0.327
+
191. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120020/t12002016.png ; $T = \cap _ { N \geq 0 } \sigma ( X _ { n } : | n | \geq N )$ ; confidence 0.531
  
192. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s130540120.png ; $\{ - 1 , - 1 \}$ ; confidence 1.000
+
192. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b12015015.png ; $P = \{ P _ { p } : p \in [ 0,1 ] \}$ ; confidence 0.531
  
193. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s1305409.png ; $x _ { i j } ( a )$ ; confidence 0.743
+
193. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e12012091.png ; $( q _ { 1 } , \dots , q _ { n } )$ ; confidence 0.531
  
194. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120250/s12025055.png ; $\hat { h } = 1$ ; confidence 0.204
+
194. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a110220110.png ; $R _ { 2 }$ ; confidence 0.531
  
195. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022420/c02242038.png ; $\alpha > - 1$ ; confidence 0.999
+
195. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011042.png ; $\sigma x$ ; confidence 0.531
  
196. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120260/s12026058.png ; $s \in [ 0,1 ]$ ; confidence 0.999
+
196. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130270/a13027075.png ; $| T _ { R } ( x ) \| \geq c \| x |$ ; confidence 0.531
  
197. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120260/s12026022.png ; $D _ { t } ^ { * }$ ; confidence 0.585
+
197. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130110/d1301109.png ; $( c \frac { \hbar } { c } \vec { \alpha } . \vec { \nabla } + \vec { \beta } m 0 c ^ { 2 } ) \Phi = i \hbar \frac { \partial \Phi } { \partial t }$ ; confidence 0.531
  
198. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023840/c02384058.png ; $\| . \| _ { 2 }$ ; confidence 0.919
+
198. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007021.png ; $3.4 , \ldots , 89$ ; confidence 0.530
  
199. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120270/s12027030.png ; $R _ { P } ^ { B }$ ; confidence 0.564
+
199. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130070/i13007074.png ; $S _ { + } ^ { 2 } : = \{ \alpha : \alpha \in S ^ { 2 } , \alpha , e _ { 3 } > 0 \}$ ; confidence 0.530
  
200. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041130/f04113013.png ; $\{ c _ { n } \}$ ; confidence 0.437
+
200. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n06752021.png ; $B \in M _ { m \times n } ( K )$ ; confidence 0.530
  
201. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130590/s13059021.png ; $L ( z ) \geq 0$ ; confidence 0.991
+
201. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130100/w13010033.png ; $\lambda _ { \phi } > 0$ ; confidence 0.530
  
202. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063040/m06304038.png ; $\{ c _ { t } \}$ ; confidence 0.435
+
202. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020118.png ; $( p * , q ^ { * } )$ ; confidence 0.530
  
203. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130590/s13059048.png ; $\sum _ { e x }$ ; confidence 0.327
+
203. https://www.encyclopediaofmath.org/legacyimages/g/g110/g110100/g1101002.png ; $S ( R ^ { x } )$ ; confidence 0.530
  
204. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130590/s13059049.png ; $\sum d _ { n }$ ; confidence 0.950
+
204. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074520/p07452019.png ; $a b \in P \Rightarrow a \in P \text { or } b \in P$ ; confidence 0.530
  
205. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g04302010.png ; $GL ^ { k } ( n )$ ; confidence 0.961
+
205. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130190/m13019025.png ; $n = 0,1,2 , \dots$ ; confidence 0.530
  
206. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090670/s09067038.png ; $GL ^ { k } ( u )$ ; confidence 0.950
+
206. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120220/b12022011.png ; $\partial _ { t } \int \phi ( v ) f d v + \operatorname { div } _ { x } \int v \phi ( v ) f d v = 0$ ; confidence 0.530
  
207. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090670/s09067084.png ; $V _ { q } ^ { p }$ ; confidence 0.193
+
207. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023270/c02327010.png ; $\overline { \theta } = \emptyset$ ; confidence 0.530
  
208. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130620/s13062096.png ; $q ( x ) \geq 0$ ; confidence 0.981
+
208. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120520/b12052051.png ; $x _ { y } \rightarrow x ^ { * }$ ; confidence 0.529
  
209. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130620/s13062089.png ; $B \subset R$ ; confidence 0.722
+
209. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120230/a12023071.png ; $b _ { Y , s }$ ; confidence 0.529
  
210. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130620/s130620217.png ; $\beta > 1 / 2$ ; confidence 0.991
+
210. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340182.png ; $S _ { H _ { j } }$ ; confidence 0.529
  
211. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130620/s1306207.png ; $x = + \infty$ ; confidence 0.962
+
211. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130060/k13006047.png ; $\partial _ { k } ( m ) = \left( \begin{array} { c } { \alpha _ { k } } \\ { k - 1 } \end{array} \right) + \left( \begin{array} { c } { \alpha _ { k } - 1 } \\ { k - 2 } \end{array} \right) + \ldots + \left( \begin{array} { c } { \alpha _ { 1 } } \\ { 0 } \end{array} \right)$ ; confidence 0.529
  
212. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130620/s130620222.png ; $B \subset A$ ; confidence 0.819
+
212. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120010/f12001030.png ; $v : X \rightarrow Y$ ; confidence 0.529
  
213. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120290/s1202902.png ; $\sum x _ { i }$ ; confidence 0.559
+
213. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130480/s1304808.png ; $D a = 0$ ; confidence 0.529
  
214. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120300/s1203001.png ; $( B _ { G } , X )$ ; confidence 0.993
+
214. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130160/c13016064.png ; $g ( t ( n ) )$ ; confidence 0.529
  
215. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120300/s1203004.png ; $( B _ { G } , X )$ ; confidence 0.985
+
215. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120340/b12034019.png ; $D ^ { 0 } = \{ z : | z _ { 1 } | + \ldots + | z _ { n } | < 1 \}$ ; confidence 0.529
  
216. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s1203208.png ; $x \in V _ { I }$ ; confidence 0.481
+
216. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015440/b01544038.png ; $122$ ; confidence 0.529
  
217. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s120320129.png ; $( M , O _ { M } )$ ; confidence 0.996
+
217. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130050/d13005019.png ; $G ( r , m )$ ; confidence 0.529
  
218. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032075.png ; $M = A ^ { p } | q$ ; confidence 0.975
+
218. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170259.png ; $\{ e _ { 1 } ^ { i } \}$ ; confidence 0.529
  
219. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s1203206.png ; $x \in V _ { 0 }$ ; confidence 0.454
+
219. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120140/f12014073.png ; $z = \varphi$ ; confidence 0.529
  
220. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340201.png ; $( H _ { 3 } , J )$ ; confidence 0.985
+
220. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170286.png ; $F + N$ ; confidence 0.529
  
221. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340103.png ; $( x , u \in v )$ ; confidence 0.788
+
221. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110410/c11041034.png ; $F y$ ; confidence 0.529
  
222. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340199.png ; $( H _ { 1 } , J )$ ; confidence 0.989
+
222. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w13009032.png ; $L ^ { 2 } ( \mu ) = \sum _ { n = 0 } ^ { \infty } G _ { n }$ ; confidence 0.529
  
223. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340113.png ; $t \in S ^ { 1 }$ ; confidence 0.719
+
223. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130100/f13010010.png ; $\sum _ { n = 1 } ^ { \infty } N _ { p } ( k _ { n } ) N _ { p } , ( l _ { n } ) < \infty$ ; confidence 0.528
  
224. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340182.png ; $S _ { H _ { j } }$ ; confidence 0.529
+
224. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120190/w12019027.png ; $A _ { y y }$ ; confidence 0.528
  
225. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s12034068.png ; $S ^ { 1 } = R / Z$ ; confidence 0.974
+
225. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120020/t12002015.png ; $T ^ { - } = \cap _ { N \geq 0 } \sigma ( X _ { n } : n \leq - N )$ ; confidence 0.528
  
226. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s13064028.png ; $T ( \alpha )$ ; confidence 0.914
+
226. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130080/d130080106.png ; $z \in D$ ; confidence 0.528
  
227. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120020/t12002017.png ; $\sigma ( Y )$ ; confidence 0.987
+
227. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110233.png ; $H ( X ) = \operatorname { sup } _ { T \neq 0 } \sqrt { \frac { G X ( T ) } { G _ { X } ^ { g } ( T ) } }$ ; confidence 0.528
  
228. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t13005085.png ; $a _ { j } \in B$ ; confidence 0.181
+
228. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090195.png ; $\operatorname { PSL } _ { \eta } ( K )$ ; confidence 0.528
  
229. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t13005047.png ; $D _ { A } ^ { k }$ ; confidence 0.766
+
229. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120240/f12024079.png ; $J _ { y }$ ; confidence 0.528
  
230. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024840/c0248403.png ; $U \subset R$ ; confidence 0.995
+
230. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120320/b12032071.png ; $\alpha _ { 1 } = 1$ ; confidence 0.528
  
231. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120030/t12003030.png ; $V = \Phi ( U )$ ; confidence 1.000
+
231. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130650/s13065067.png ; $w f p$ ; confidence 0.528
  
232. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130070/t13007024.png ; $L [ 0,2 \pi ]$ ; confidence 0.998
+
232. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030810/d03081019.png ; $d j$ ; confidence 0.528
  
233. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130080/t1300809.png ; $t \in [ 0 , n )$ ; confidence 0.999
+
233. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130020/q13002020.png ; $( 1 - P ) | \phi \rangle / \| ( 1 - P ) | \phi \rangle \|$ ; confidence 0.528
  
234. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t120050104.png ; $r = 1,2,3,4$ ; confidence 0.998
+
234. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k05584043.png ; $J = J ^ { x }$ ; confidence 0.528
  
235. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006080.png ; $E ^ { TF } ( N )$ ; confidence 0.634
+
235. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230136.png ; $\pi _ { r } ^ { k } : E ^ { k } \rightarrow E ^ { r }$ ; confidence 0.528
  
236. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t1200608.png ; $R \in R ^ { 3 }$ ; confidence 0.983
+
236. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011031.png ; $= \int u ( x + \frac { y } { 2 } ) \nabla ( x - \frac { y } { 2 } ) e ^ { - 2 i \pi y \cdot \xi } d y$ ; confidence 0.528
  
237. https://www.encyclopediaofmath.org/legacyimages/l/l061/l061190/l06119027.png ; $x \in R ^ { 3 }$ ; confidence 0.712
+
237. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040097.png ; $R * ( b ) H _ { R } \subset H _ { R }$ ; confidence 0.528
  
238. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006010.png ; $E ( \rho ) : =$ ; confidence 0.984
+
238. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120020/c12002042.png ; $( \text { a.c. } A ^ { \alpha } f ) _ { \alpha = 0 } = f$ ; confidence 0.528
  
239. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t120060145.png ; $B \gg Z ^ { 3 }$ ; confidence 0.921
+
239. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120190/e12019046.png ; $g \Rightarrow p$ ; confidence 0.528
  
240. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120070/t120070103.png ; $1 _ { - 1 } = id$ ; confidence 0.664
+
240. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m130260229.png ; $x _ { x } \leq z \leq y _ { x }$ ; confidence 0.528
  
241. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120070/t12007094.png ; $u , v , w \in V$ ; confidence 0.966
+
241. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091190/s0911905.png ; $V _ { \square }$ ; confidence 0.528
  
242. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130100/t13010053.png ; $\Gamma ( B )$ ; confidence 0.999
+
242. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130090/f13009091.png ; $x = ( x ^ { k - 1 } , x ^ { k - 2 } , \dots , 1 )$ ; confidence 0.528
  
243. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120130/t12013010.png ; $S _ { 2 } ^ { t }$ ; confidence 0.721
+
243. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062220/m06222081.png ; $S _ { i j }$ ; confidence 0.528
  
244. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120140/t12014017.png ; $f = P + \phi f$ ; confidence 0.302
+
244. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120040/b1200408.png ; $u > 0$ ; confidence 0.528
  
245. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094080/t09408030.png ; $( X ; A , B , * )$ ; confidence 0.987
+
245. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130210/b13021012.png ; $\sum _ { r \in R _ { W } } F _ { r } = d _ { W }$ ; confidence 0.528
  
246. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130210/t13021047.png ; $a _ { N } / 2 + k$ ; confidence 0.510
+
246. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030240/d0302407.png ; $\beta _ { 0 } , \dots , \beta _ { r }$ ; confidence 0.528
  
247. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t12020041.png ; $d \in [ 0,3 ]$ ; confidence 0.999
+
247. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130250/c13025029.png ; $N _ { k } ( t ) = 1 _ { ( X _ { k } \leq t , I _ { k } ( X _ { k } ) = 1 ) }$ ; confidence 0.528
  
248. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200208.png ; $\phi ( z ) = 1$ ; confidence 1.000
+
248. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120080/q1200802.png ; $p = 1 , \dots , P$ ; confidence 0.528
  
249. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200223.png ; $1 / P _ { m } , K$ ; confidence 0.481
+
249. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130020/q13002024.png ; $> 2 + 3$ ; confidence 0.528
  
250. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t12020064.png ; $| z _ { j } | = 1$ ; confidence 1.000
+
250. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068080/o0680807.png ; $A _ { i _ { 0 } }$ ; confidence 0.527
  
251. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t12020066.png ; $R _ { n } > 1 / 5$ ; confidence 0.987
+
251. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017051.png ; $k$ ; confidence 0.527
  
252. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200221.png ; $| z _ { j } | = 1$ ; confidence 0.984
+
252. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110110/m11011013.png ; $- i \infty$ ; confidence 0.527
  
253. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t12020067.png ; $R _ { n } > 1 / 2$ ; confidence 0.988
+
253. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120240/s12024048.png ; $z _ { i } ^ { N }$ ; confidence 0.527
  
254. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t12020096.png ; $1 / P _ { m , n }$ ; confidence 0.486
+
254. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120040/s12004054.png ; $s _ { \lambda } = \operatorname { det } ( h _ { \lambda _ { i } - i + j } )$ ; confidence 0.527
  
255. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130080/v13008024.png ; $K _ { \zeta }$ ; confidence 0.714
+
255. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120260/c1202601.png ; $\left\{ \begin{array} { l } { u _ { t } - u _ { k x } = 0 , \quad 0 < x < 1,0 < t } \\ { u ( 0 , t ) = u ( 1 , t ) = 0 , \quad 0 < t } \\ { u ( x , 0 ) = u ^ { 0 } ( x ) , \quad 0 \leq x \leq 1 } \end{array} \right.$ ; confidence 0.527
  
256. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130060/v1300604.png ; $n \in N + 1 / 2$ ; confidence 0.965
+
256. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120040/b120040127.png ; $x ^ { \prime } \in X ^ { \prime }$ ; confidence 0.527
  
257. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012330/a01233047.png ; $f ^ { - 1 } ( y )$ ; confidence 1.000
+
257. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025450/c02545035.png ; $T ^ { * }$ ; confidence 0.527
  
258. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044350/g04435078.png ; $\gamma ( F )$ ; confidence 0.993
+
258. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130140/c13014043.png ; $\mathfrak { M } = ( X , \{ R _ { i } \} _ { 1 \leq i \leq r } )$ ; confidence 0.527
  
259. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023570/c0235705.png ; $M \subset X$ ; confidence 0.747
+
259. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120080/i12008029.png ; $S _ { 1 } = \pm 1 , \dots , S _ { N } = \pm 1$ ; confidence 0.527
  
260. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v12002074.png ; $\nu + 1 < q < N$ ; confidence 0.997
+
260. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a13032022.png ; $E ( N ) = E ( S _ { N } ) ( E ( Y ) ) ^ { - 1 }$ ; confidence 0.527
  
261. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130070/v1300709.png ; $\vec { V }$ ; confidence 0.987
+
261. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240329.png ; $x$ ; confidence 0.527
  
262. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120040/v12004070.png ; $\omega ( G )$ ; confidence 0.997
+
262. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120500/b12050047.png ; $E ( \operatorname { exp } ( - u \alpha _ { x } ) ) =$ ; confidence 0.527
  
263. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120040/v12004033.png ; $\Delta ( G )$ ; confidence 0.997
+
263. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130130/z13013022.png ; $\sum _ { n = 0 } ^ { \infty } a _ { n } n ^ { n } P _ { n } ( \operatorname { cos } \theta )$ ; confidence 0.527
  
264. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900232.png ; $III _ { 0 }$ ; confidence 0.560
+
264. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120050/s12005031.png ; $( \frac { 1 - z _ { j } z _ { k } } { 1 - w _ { j } \overline { w } _ { k } } ) _ { j , k = 1 } ^ { n }$ ; confidence 0.527
  
265. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v09690080.png ; $S \in A ^ { + }$ ; confidence 0.580
+
265. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110430/c11043084.png ; $24$ ; confidence 0.527
  
266. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900179.png ; $\zeta \in Z$ ; confidence 0.953
+
266. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075660/p07566021.png ; $\Omega \times R ^ { \gamma }$ ; confidence 0.527
  
267. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v09690086.png ; $T \in A ^ { + }$ ; confidence 0.998
+
267. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120040/l12004021.png ; $t ^ { x + 1 }$ ; confidence 0.527
  
268. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086520/s086520149.png ; $\phi ( T ) = 0$ ; confidence 1.000
+
268. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130100/p130100183.png ; $K = \hat { K }$ ; confidence 0.527
  
269. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110410/c11041059.png ; $0 , \infty ]$ ; confidence 0.999
+
269. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c12018023.png ; $x ^ { 1 } , \ldots , x ^ { p }$ ; confidence 0.527
  
270. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035760/e0357601.png ; $\{ T _ { t } \}$ ; confidence 0.995
+
270. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120140/d12014013.png ; $D _ { n } ( x , a ) = u ^ { n } + \frac { a ^ { n } } { u ^ { n } }$ ; confidence 0.526
  
271. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096910/v09691022.png ; $h ( T ^ { k } x )$ ; confidence 0.968
+
271. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130160/c13016062.png ; $i ( n$ ; confidence 0.526
  
272. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096910/v09691023.png ; $h ( T _ { t } x )$ ; confidence 0.933
+
272. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130180/m13018023.png ; $\mu ( A , B ) = ( - 1 ) ^ { | B | - | A | }$ ; confidence 0.526
  
273. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030020/d030020252.png ; $Z \subset X$ ; confidence 0.501
+
273. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130040/r13004048.png ; $p _ { 1 } = 1.8412 \ldots$ ; confidence 0.526
  
274. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120030/w12003085.png ; $X ^ { \perp }$ ; confidence 0.903
+
274. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130320/a13032019.png ; $S _ { n } = Y _ { 1 } + \ldots + Y _ { n }$ ; confidence 0.526
  
275. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120030/w12003015.png ; $I ( \Gamma )$ ; confidence 0.218
+
275. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120090/m12009011.png ; $- i \partial / \partial x _ { j }$ ; confidence 0.526
  
276. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085400/s085400209.png ; $x \in K _ { y }$ ; confidence 0.267
+
276. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062000/m0620007.png ; $( X _ { n } ) _ { n } \geq k + m + 1$ ; confidence 0.526
  
277. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120010/w12001011.png ; $z ^ { k } f ( D )$ ; confidence 0.999
+
277. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013290/a01329074.png ; $< n$ ; confidence 0.526
  
278. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120010/w12001036.png ; $k \in N _ { 0 }$ ; confidence 0.487
+
278. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c12017032.png ; $K \subseteq R ^ { x }$ ; confidence 0.526
  
279. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120010/w12001040.png ; $z ^ { n } f ( D )$ ; confidence 0.840
+
279. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120110/n12011073.png ; $\psi _ { x } ( . )$ ; confidence 0.526
  
280. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097590/w0975909.png ; $WC ( A , k ) = 0$ ; confidence 0.797
+
280. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052052.png ; $a _ { n }$ ; confidence 0.526
  
281. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040340/f04034080.png ; $0 \in R ^ { x }$ ; confidence 0.507
+
281. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009095.png ; $m + n$ ; confidence 0.526
  
282. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021850/c02185025.png ; $x \in R ^ { m }$ ; confidence 0.370
+
282. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120180/s12018046.png ; $\langle e _ { i } , e _ { i } \rangle = 1$ ; confidence 0.526
  
283. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120050/w12005023.png ; $N ^ { r + 1 } = 0$ ; confidence 0.828
+
283. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b12015017.png ; $\sum _ { j = 1 } ^ { n } x _ { j } \quad x - \sum _ { j = 1 } ^ { n } x _ { j }$ ; confidence 0.526
  
284. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120080/w12008020.png ; $M ( R ^ { 2 n } )$ ; confidence 0.936
+
284. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007032.png ; $d > c$ ; confidence 0.525
  
285. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120080/w12008051.png ; $\Omega ( u )$ ; confidence 1.000
+
285. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120010/e120010111.png ; $e : X \rightarrow G A \in E \text { and } M = ( m _ { i } : A \rightarrow A _ { i } ) _ { I } \in \mathfrak { M }$ ; confidence 0.525
  
286. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120080/w12008019.png ; $S ( R ^ { 2 n } )$ ; confidence 0.326
+
286. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130010/g1300102.png ; $E = GF ( q ^ { n } )$ ; confidence 0.525
  
287. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w12009060.png ; $[ \lambda ]$ ; confidence 0.999
+
287. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050196.png ; $Z _ { A ( p ) } ( y ) = \prod _ { r = 1 } ^ { \infty } ( 1 - y ^ { r } ) ^ { - 1 } = \sum _ { n = 0 } ^ { \infty } p ( n ) y ^ { n }$ ; confidence 0.525
  
288. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059120/l0591204.png ; $SL _ { Y } ( K )$ ; confidence 0.113
+
288. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b120420153.png ; $C ^ { 0 }$ ; confidence 0.525
  
289. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090268.png ; $n _ { \beta }$ ; confidence 0.522
+
289. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024890/c02489024.png ; $\beta _ { 1 } , \ldots , \beta _ { n }$ ; confidence 0.525
  
290. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110205.png ; $( q ; p _ { j } )$ ; confidence 0.508
+
290. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130120/b13012077.png ; $V _ { \varepsilon } = 2 \Delta _ { 2 } \varepsilon - \Delta _ { \varepsilon }$ ; confidence 0.525
  
291. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110226.png ; $S _ { 1 } ^ { 0 }$ ; confidence 0.235
+
291. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f12021064.png ; $\frac { \partial } { \partial \lambda } u ( z , \lambda _ { i } ) = ( \operatorname { log } z ) z ^ { \lambda } i +$ ; confidence 0.525
  
292. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110234.png ; $H ( X ) \leq 1$ ; confidence 0.993
+
292. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120370/b12037068.png ; $C _ { \Omega } ( L _ { N } )$ ; confidence 0.525
  
293. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057500/l05750023.png ; $R _ { X } ^ { Y }$ ; confidence 0.626
+
293. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130250/c13025026.png ; $T _ { 1 } , \dots , T _ { j }$ ; confidence 0.525
  
294. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011034.png ; $S ( R ^ { 2 x } )$ ; confidence 0.152
+
294. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120080/t12008049.png ; $( 5 \times 10 ^ { 6 } r ) ^ { 3 }$ ; confidence 0.525
  
295. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w13008068.png ; $Z \sim \tau$ ; confidence 0.968
+
295. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130590/s13059041.png ; $( F _ { N } > 0 , G _ { N } > 0 )$ ; confidence 0.525
  
296. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080204.png ; $t _ { S } ^ { H }$ ; confidence 0.990
+
296. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130050/c13005035.png ; $v \in V \Gamma$ ; confidence 0.525
  
297. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080146.png ; $G = GL ( N , C )$ ; confidence 0.620
+
297. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120490/b12049029.png ; $m ( A ) - k m ( B ) \leq m ( A \cup B ) \leq m ( A ) + k m ( B )$ ; confidence 0.525
  
298. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w13008066.png ; $Z ( t , \phi )$ ; confidence 0.994
+
298. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130010/e13001020.png ; $c _ { n } d ^ { n } ( d + h ) q$ ; confidence 0.525
  
299. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080212.png ; $M _ { g , n } + 1$ ; confidence 0.761
+
299. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110207.png ; $j \leq 1$ ; confidence 0.525
  
300. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w13009044.png ; $H \otimes x$ ; confidence 0.126
+
300. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130070/p13007015.png ; $PSH ( D )$ ; confidence 0.525

Revision as of 00:10, 13 February 2020

List

1. j12002098.png ; $\leq 2 E [ X _ { 0 } ] + 2 E [ X _ { \infty } \operatorname { log } + \frac { X _ { \infty } } { E [ X _ { 0 } ] } ]$ ; confidence 0.541

2. b12031094.png ; $S _ { R } ^ { \delta } f ( x ) = \sum _ { \lambda _ { k } \leq R } ( 1 - \frac { \lambda _ { k } } { R } ) ^ { \delta } ( f , \phi _ { k } ) \phi _ { k } ( x )$ ; confidence 0.541

3. a13020011.png ; $\langle x y | u v w \rangle \} =$ ; confidence 0.541

4. l12012067.png ; $a _ { p }$ ; confidence 0.541

5. d11022049.png ; $[ a , \infty )$ ; confidence 0.541

6. z1200208.png ; $1,2,3,5,8,13,21 , \ldots$ ; confidence 0.541

7. o130060113.png ; $E ( \lambda )$ ; confidence 0.541

8. v13011029.png ; $= - \frac { i \Gamma } { 2 \pi } \operatorname { log } [ \operatorname { sin } \frac { \pi z } { l } ] + const$ ; confidence 0.541

9. c120010174.png ; $f \mapsto \sum _ { k = 1 } ^ { n } a _ { k } \frac { \partial f } { \partial z _ { k } }$ ; confidence 0.541

10. b13007011.png ; $m = 1$ ; confidence 0.540

11. c13016084.png ; $NP \neq co NP$ ; confidence 0.540

12. f0404908.png ; $B ( l _ { 1 } , l _ { 2 } )$ ; confidence 0.540

13. e120140109.png ; $\varepsilon \times \varphi$ ; confidence 0.540

14. a12006013.png ; $x \in \partial \Omega$ ; confidence 0.540

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

16. b12013075.png ; $2$ ; confidence 0.540

17. k055840211.png ; $\| T ^ { n } \|$ ; confidence 0.540

18. a12006083.png ; $\| A ( t , u ) - A ( t , u ^ { \prime } ) \| _ { L ( Y , X ) } \leq \mu \| u - u ^ { \prime } \| _ { X }$ ; confidence 0.540

19. m130180102.png ; $U \subset V$ ; confidence 0.540

20. m13026087.png ; $\sigma ( x ) \alpha = x a$ ; confidence 0.540

21. h120020129.png ; $A X \subset X$ ; confidence 0.540

22. i13003017.png ; $a = \sigma ( P )$ ; confidence 0.540

23. m063460194.png ; $z _ { f }$ ; confidence 0.540

24. t1200202.png ; $X = ( X _ { n } ) _ { n \in Z }$ ; confidence 0.540

25. s12015084.png ; $H \rightarrow GL ( V )$ ; confidence 0.540

26. a13014017.png ; $r = 1$ ; confidence 0.539

27. e12012016.png ; $Y _ { com } = ( Y _ { obs } , Y _ { mis } )$ ; confidence 0.539

28. a01021078.png ; $j = 1 , \ldots , n$ ; confidence 0.539

29. v13006016.png ; $\partial \nmid \partial y _ { x }$ ; confidence 0.539

30. q13004059.png ; $| f ( x ) |$ ; confidence 0.539

31. a13032047.png ; $E ( Y _ { i } ^ { 2 } ) = \sigma ^ { 2 } < \infty$ ; confidence 0.539

32. n067520367.png ; $X \equiv ( x _ { 1 } , \dots , x _ { x } ) = 0$ ; confidence 0.539

33. e13003060.png ; $( \omega , s ) = \sum _ { \gamma \in \Gamma / \Gamma _ { P } } \gamma \omega _ { s }$ ; confidence 0.539

34. o13001058.png ; $\Gamma u = u _ { N }$ ; confidence 0.539

35. p07548025.png ; $a , b \in D$ ; confidence 0.539

36. f120230114.png ; $= \omega \wedge [ D _ { 1 } , D _ { 2 } ] - ( - 1 ) ^ { ( q + k _ { 1 } ) k _ { 2 } } D _ { 2 } ( \omega ) \wedge D _ { 1 } , i ( \omega \wedge L ) = \omega \wedge i ( L )$ ; confidence 0.539

37. b1300906.png ; $D ( u ) = \int _ { R ^ { u } d x }$ ; confidence 0.539

38. i130090130.png ; $\mu _ { p } ( K / k ) > 0$ ; confidence 0.539

39. i130090141.png ; $\lambda _ { p } ( k _ { \infty } / k ) = \mu _ { p } ( k _ { \infty } / k ) = 0$ ; confidence 0.539

40. m13023054.png ; $v \in \Sigma \backslash \{ 0 \}$ ; confidence 0.539

41. v09603011.png ; $\epsilon x ^ { \prime } = y - x + \frac { x ^ { 3 } } { 3 } , \quad y ^ { \prime } = - x , \quad \square ^ { \prime } = \frac { d } { d \tau }$ ; confidence 0.539

42. c023140190.png ; $G \nmid P$ ; confidence 0.539

43. v120020140.png ; $F \neq 0$ ; confidence 0.539

44. b13022042.png ; $l = 1 , \ldots , N$ ; confidence 0.539

45. a130040485.png ; $\Phi$ ; confidence 0.539

46. t130140155.png ; $( \operatorname { prin } K I ) \simeq Z ^ { I }$ ; confidence 0.538

47. m1202605.png ; $1 , \dots , 7$ ; confidence 0.538

48. p07548017.png ; $\mathfrak { M } = < M , D ; \& ^ { * } , V ^ { * } , \supset ^ { * } , \neg ^ { * } >$ ; confidence 0.538

49. d03033019.png ; $H ^ { * } ( E _ { c } ^ { * } ( M ) )$ ; confidence 0.538

50. a01412033.png ; $S ^ { \prime }$ ; confidence 0.538

51. b13002059.png ; $U _ { x } ( y ) = 2 x \circ ( x \circ y ) - x ^ { 2 } \circ y$ ; confidence 0.538

52. w12021045.png ; $s _ { 1 } = \ldots = s _ { k } = s$ ; confidence 0.538

53. t120010117.png ; $D$ ; confidence 0.538

54. m12027031.png ; $\sum _ { \alpha \in Z _ { f } } R ( \alpha ) =$ ; confidence 0.538

55. a130040188.png ; $\Omega ^ { * } S$ ; confidence 0.538

56. f13009097.png ; $n = 0,1 , \ldots$ ; confidence 0.538

57. h12005019.png ; $\beta _ { N } ( \phi , \rho )$ ; confidence 0.538

58. b01674026.png ; $k = 0$ ; confidence 0.538

59. c13010028.png ; $a \in [ 0 , + \infty ]$ ; confidence 0.538

60. a130040519.png ; $D$ ; confidence 0.538

61. t12014032.png ; $\phi = ( F k ) \circ o$ ; confidence 0.537

62. e12021047.png ; $( p _ { m } ^ { \prime } ( x ) ) _ { m > 1 }$ ; confidence 0.537

63. b12013036.png ; $C \backslash G$ ; confidence 0.537

64. a130240482.png ; $n = \sum n$ ; confidence 0.537

65. b12010038.png ; $S ^ { n } ( - t , x _ { 1 } , \dots , x _ { n } ) F _ { n } ( x _ { 1 } , \dots , x _ { n } ) =$ ; confidence 0.537

66. b12053025.png ; $( h _ { N } ) _ { N = 1 } ^ { \infty } 1$ ; confidence 0.537

67. w1202006.png ; $r \in H$ ; confidence 0.537

68. h13005052.png ; $\phi _ { x x } = [ u ( x ) - k ^ { 2 } \rho ( x ) ] \phi$ ; confidence 0.537

69. a13006057.png ; $K = F _ { q } ( x )$ ; confidence 0.537

70. n067520148.png ; $\varepsilon _ { A , K [ \lambda ] } = \{ e _ { i } ^ { n _ { i } } \}$ ; confidence 0.537

71. a120260116.png ; $y _ { i } \cong \hat { y } _ { i }$ ; confidence 0.537

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

73. n06663086.png ; $E _ { v _ { 1 } , \ldots , v _ { n } } ( f ) _ { p }$ ; confidence 0.537

74. h13002014.png ; $i \in \{ 1 , \dots , n \} \backslash I$ ; confidence 0.537

75. b130290106.png ; $R ( I ) \rightarrow S p$ ; confidence 0.537

76. d12024052.png ; $U ( h )$ ; confidence 0.537

77. t120070138.png ; $L - i$ ; confidence 0.537

78. b13028017.png ; $x _ { x } \in G ( n )$ ; confidence 0.537

79. a11030046.png ; $\theta Y \circ \phi$ ; confidence 0.536

80. k13002092.png ; $\beta = 4 C _ { X , Y } ( \frac { 1 } { 2 } , \frac { 1 } { 2 } ) - 1$ ; confidence 0.536

81. k1200205.png ; $p ( m )$ ; confidence 0.536

82. n06752035.png ; $d _ { i } \neq 0$ ; confidence 0.536

83. t12021011.png ; $t ( N )$ ; confidence 0.536

84. c02336052.png ; $\hat { U } _ { t }$ ; confidence 0.536

85. i0518803.png ; $C$ ; confidence 0.536

86. h13007026.png ; $k ( t ) [ X _ { 1 } , \dots , X _ { n } ]$ ; confidence 0.536

87. s120320122.png ; $\operatorname { ev } _ { X } ( f \otimes 1 ) = f ( x )$ ; confidence 0.536

88. v120020142.png ; $\operatorname { deg } F$ ; confidence 0.536

89. l1100104.png ; $\{ A ; P , + , . \}$ ; confidence 0.536

90. w12005051.png ; $A ^ { m } = R ^ { m } \oplus N ^ { m ^ { m } }$ ; confidence 0.536

91. b12013067.png ; $B D$ ; confidence 0.536

92. c0223204.png ; $G ^ { * }$ ; confidence 0.536

93. c12002047.png ; $\int _ { 0 } ^ { \infty } ( V _ { g } f ) ( \theta , t ) \frac { d t } { t } = c _ { g } f$ ; confidence 0.536

94. d120230184.png ; $D$ ; confidence 0.536

95. s120340104.png ; $v : S ^ { 2 } \rightarrow M$ ; confidence 0.536

96. h12005038.png ; $B _ { 4 }$ ; confidence 0.536

97. a13027027.png ; $x _ { y }$ ; confidence 0.536

98. r08232040.png ; $\{ x \in R ^ { x } : | x - x _ { 0 } | \leq R \}$ ; confidence 0.536

99. t130050184.png ; $( L , A , R _ { B } )$ ; confidence 0.536

100. b130260105.png ; $d [ f , S ^ { n } , S ^ { n } ] = \operatorname { deg } _ { B } [ \tilde { f } , B ( 1 ) , 0 ]$ ; confidence 0.536

101. a130060122.png ; $G _ { \lambda }$ ; confidence 0.535

102. i13001080.png ; $d _ { ( 3,1 ^ { n - 3 } ) } ( L ( T ) )$ ; confidence 0.535

103. w12019010.png ; $R _ { p } ^ { 3 N } \times R _ { X } ^ { 3 N }$ ; confidence 0.535

104. k05584085.png ; $x \in L$ ; confidence 0.535

105. h04602013.png ; $x \mapsto y$ ; confidence 0.535

106. a12005027.png ; $f \in C ^ { 1 } ( [ 0 , T ] ; X )$ ; confidence 0.535

107. a12008064.png ; $= \left( \begin{array} { c c } { \frac { d A ( t ) ^ { 1 / 2 } } { d t } A ( t ) ^ { - 1 / 2 } } & { i A ( t ) ^ { 1 / 2 } } \\ { i A ( t ) ^ { 1 / 2 } } & { 0 } \end{array} \right) \left( \begin{array} { c } { v _ { 0 } } \\ { v _ { 1 } } \end{array} \right) + \left( \begin{array} { c } { 0 } \\ { f ( t ) } \end{array} \right) , t \in [ 0 , T ]$ ; confidence 0.535

108. b130300113.png ; $A$ ; confidence 0.535

109. d13006089.png ; $m B$ ; confidence 0.535

110. h12012040.png ; $t = d _ { Y } ^ { \prime } - d \gamma$ ; confidence 0.535

111. a01070027.png ; $b \in B$ ; confidence 0.535

112. p13014035.png ; $| f ^ { C \rho } ( x ) - f ( x ) | = O ( \rho ) \text { as } \rho \rightarrow 0 , x \in U$ ; confidence 0.535

113. e1300601.png ; $d ( f , g ) = \operatorname { sup } \{ d ( f c , g c ) : c \in C \}$ ; confidence 0.534

114. k1201101.png ; $( u _ { t } + 6 u u _ { X } + u _ { X X X } ) _ { X } + 3 \sigma ^ { 2 } u _ { y } y = 0$ ; confidence 0.534

115. c120170119.png ; $M \geq 0$ ; confidence 0.534

116. a0106709.png ; $\overline { \eta }$ ; confidence 0.534

117. t12020053.png ; $h ( m , k ) = \sum _ { j = 1 } ^ { n } b _ { j } z _ { j } ^ { k } w _ { j }$ ; confidence 0.534

118. b12001016.png ; $i = 1 , \dots , 4 , m , n = 1,2$ ; confidence 0.534

119. k13001042.png ; $\langle D _ { + } \} + \langle D _ { - } \rangle = ( A + A ^ { - 1 } ) ( \langle D _ { 0 } \rangle + \langle D _ { \infty } \rangle )$ ; confidence 0.534

120. d13008053.png ; $c \in \Delta$ ; confidence 0.534

121. d120020104.png ; $\vec { c } _ { k } ^ { 1 } = c ^ { T } x ^ { ( k ) } + ( A _ { 1 } x ^ { ( k ) } - b _ { 1 } ) ^ { T } \overline { u } _ { 1 } - \overline { q }$ ; confidence 0.534

122. a1302307.png ; $\operatorname { lim } _ { n \rightarrow \infty } ( P Q ) ^ { n } f = P _ { U } \cap _ { V } f ^ { f } \text { for all } f \in H$ ; confidence 0.534

123. c12021041.png ; $\{ P _ { h } ^ { \prime } \}$ ; confidence 0.534

124. f12024066.png ; $t \in [ t 0 , \infty )$ ; confidence 0.534

125. l13008037.png ; $\operatorname { dim } l = 0$ ; confidence 0.534

126. a13007053.png ; $\omega ( \alpha )$ ; confidence 0.534

127. a012460144.png ; $x _ { j }$ ; confidence 0.534

128. k1200309.png ; $c _ { 1 } ( M ) _ { R } = 0$ ; confidence 0.534

129. b12015050.png ; $a _ { 1 } d _ { 1 } ^ { * } + \alpha _ { 2 } d _ { 2 } ^ { * }$ ; confidence 0.534

130. c02583068.png ; $i A$ ; confidence 0.534

131. l120100145.png ; $\| \rho \| _ { L ^ { p } ( R ^ { n } ) } \leq A _ { N } N ^ { 1 / p }$ ; confidence 0.534

132. e13003040.png ; $\Gamma \backslash X$ ; confidence 0.534

133. e12007090.png ; $q _ { 1 } , \dots , q _ { t }$ ; confidence 0.534

134. n067520433.png ; $\lambda _ { j } \neq 0$ ; confidence 0.534

135. a120270114.png ; $O _ { N }$ ; confidence 0.534

136. d120020206.png ; $k \in P ^ { \prime }$ ; confidence 0.534

137. s13004058.png ; $\overline { D } _ { S } \rightarrow \overline { D } _ { T }$ ; confidence 0.534

138. v096900182.png ; $\zeta \mapsto A ( \zeta )$ ; confidence 0.534

139. e12026052.png ; $P ( \theta , t , \nu ) ( d \omega ) = \frac { 1 } { L _ { \mu } ( \theta ) } \operatorname { exp } \{ \theta , t ( \omega ) \} \nu ( d \omega )$ ; confidence 0.534

140. t13015037.png ; $f \in C _ { 0 } ( S )$ ; confidence 0.533

141. b12043083.png ; $s ] _ { 3 }$ ; confidence 0.533

142. l06004030.png ; $r _ { 1 } ^ { 2 } , \ldots , r _ { n } ^ { 2 }$ ; confidence 0.533

143. s12032081.png ; $T = \left( \begin{array} { c c } { P } & { Q } \\ { R } & { S } \end{array} \right)$ ; confidence 0.533

144. s13064073.png ; $G ( a ) = \operatorname { exp } ( s ( 0 ) )$ ; confidence 0.533

145. a11032015.png ; $C$ ; confidence 0.533

146. t12006053.png ; $\mu ( N ) = - \frac { \partial E ^ { TF } ( N ) } { \partial N }$ ; confidence 0.533

147. a130240285.png ; $\psi \in L$ ; confidence 0.533

148. g12007021.png ; $2 z$ ; confidence 0.533

149. n067520328.png ; $\{ f _ { i } : i = 1,2 , \ldots \}$ ; confidence 0.533

150. d13006069.png ; $m ^ { \perp Y } ( B ) = \sum _ { A ; B = A ^ { \downarrow Y } } m ( A )$ ; confidence 0.533

151. e1300301.png ; $G / Q$ ; confidence 0.533

152. a12020066.png ; $X _ { j } = \operatorname { ker } ( T - t _ { j } I ) ^ { r _ { j } } , \quad ( j = 1 , \ldots , n )$ ; confidence 0.533

153. w120110266.png ; $g + 1$ ; confidence 0.533

154. s12026041.png ; $\Omega = ( 1,0 , \ldots )$ ; confidence 0.533

155. a130050228.png ; $G$ ; confidence 0.533

156. z13001032.png ; $x ( z ) = Z ( x ( n ) )$ ; confidence 0.533

157. e120190121.png ; $S ( b , d ( b , x ) )$ ; confidence 0.533

158. m1300902.png ; $+ c ^ { 2 } ( \nabla - i \frac { q e } { \hbar } A ) ^ { 2 } + \frac { c ^ { 4 } m ^ { 2 } } { \hbar ^ { 2 } } ] \psi ( t , x )$ ; confidence 0.533

159. v13007021.png ; $\lambda V$ ; confidence 0.533

160. d031830163.png ; $( 0 , \ldots , 0 )$ ; confidence 0.533

161. v13008026.png ; $\| f + VMOA \| _ { * } \leq C \operatorname { limsup } _ { C \in T } \sqrt { \operatorname { area } ( K _ { \zeta } ) }$ ; confidence 0.532

162. a11068027.png ; $p *$ ; confidence 0.532

163. w12008039.png ; $a , b \in R ^ { n }$ ; confidence 0.532

164. b12037029.png ; $h ( g _ { j _ { 1 } } , \dots , g _ { j _ { r } } )$ ; confidence 0.532

165. c02210015.png ; $( X _ { 1 } , \ldots , X _ { n } )$ ; confidence 0.532

166. e120230131.png ; $E ^ { k } = \{ [ \sigma ] _ { x } ^ { k } : x \in M , \sigma \in \Gamma _ { x } ( E ) \}$ ; confidence 0.532

167. z130110140.png ; $k = 0 , \dots , q$ ; confidence 0.532

168. a13018015.png ; $\tau \in V o c$ ; confidence 0.532

169. m12011020.png ; $t ( h ) = T ( h ) \cup \partial T ( k ) \partial F \times D ^ { 2 }$ ; confidence 0.532

170. l12007036.png ; $[ y _ { 1 } \ldots y _ { k } ]$ ; confidence 0.532

171. h1100101.png ; $M ( f ) = \operatorname { lim } _ { x \rightarrow \infty } \frac { 1 } { x } \cdot \sum _ { n < x } f ( n )$ ; confidence 0.532

172. c130160109.png ; $w \in A$ ; confidence 0.532

173. a130060160.png ; $S _ { F }$ ; confidence 0.532

174. s12028013.png ; $E ^ { n } ( X ) = [ \Sigma ^ { k } X , E _ { n + k } ] , \quad n \in Z$ ; confidence 0.532

175. q12002023.png ; $1 \leq s \leq k$ ; confidence 0.532

176. f13010053.png ; $\varphi \in L _ { C } ^ { p } ( G )$ ; confidence 0.532

177. e1300101.png ; $f , f _ { 1 } , \dots , f _ { m } \in R : = k [ x _ { 1 } , \dots , x _ { n } ]$ ; confidence 0.532

178. b13007065.png ; $\langle a ^ { k } b a ^ { - k } | k \geq 1 \rangle$ ; confidence 0.532

179. e12002055.png ; $[ \Sigma X , Y ] \cong [ X , \Omega Y ]$ ; confidence 0.532

180. b01533046.png ; $p _ { 1 } , \dots , p _ { m }$ ; confidence 0.531

181. m06200011.png ; $( Z _ { n } ) _ { n \in Z }$ ; confidence 0.531

182. l13008015.png ; $\operatorname { log } \operatorname { max } \{ | P _ { i } ( \omega ) | \} \geq - d ^ { \mu } ( c _ { 1 } d + c _ { 2 } h ) + c _ { 3 } d ^ { \nu } \operatorname { log } \frac { \rho } { | \omega | }$ ; confidence 0.531

183. e1201508.png ; $\frac { d ^ { 2 } x ^ { i } } { d t ^ { 2 } } + g ^ { i } ( x , \dot { x } , t ) = 0 , \quad i = 1 , \dots , n$ ; confidence 0.531

184. a1201205.png ; $A = ( a _ { i } j )$ ; confidence 0.531

185. s120150109.png ; $\hat { U } \rightarrow G ( x )$ ; confidence 0.531

186. t130050161.png ; $\sigma _ { 1 } ( A ) = \sigma _ { le } ( A ) = \sigma _ { re } ( A ) = \sigma _ { Te } ( A ) = S ^ { 3 }$ ; confidence 0.531

187. t12005011.png ; $i \in \{ 0 , \dots , n \}$ ; confidence 0.531

188. h12001035.png ; $X _ { ( v , w ) } ^ { ( 1 ) } = \operatorname { Hom } ( T _ { v } V \rightarrow T _ { w } W )$ ; confidence 0.531

189. a1300105.png ; $4$ ; confidence 0.531

190. q13005048.png ; $h _ { 1 } , h _ { 2 } \in QS ( R )$ ; confidence 0.531

191. t12002016.png ; $T = \cap _ { N \geq 0 } \sigma ( X _ { n } : | n | \geq N )$ ; confidence 0.531

192. b12015015.png ; $P = \{ P _ { p } : p \in [ 0,1 ] \}$ ; confidence 0.531

193. e12012091.png ; $( q _ { 1 } , \dots , q _ { n } )$ ; confidence 0.531

194. a110220110.png ; $R _ { 2 }$ ; confidence 0.531

195. w12011042.png ; $\sigma x$ ; confidence 0.531

196. a13027075.png ; $| T _ { R } ( x ) \| \geq c \| x |$ ; confidence 0.531

197. d1301109.png ; $( c \frac { \hbar } { c } \vec { \alpha } . \vec { \nabla } + \vec { \beta } m 0 c ^ { 2 } ) \Phi = i \hbar \frac { \partial \Phi } { \partial t }$ ; confidence 0.531

198. a13007021.png ; $3.4 , \ldots , 89$ ; confidence 0.530

199. i13007074.png ; $S _ { + } ^ { 2 } : = \{ \alpha : \alpha \in S ^ { 2 } , \alpha , e _ { 3 } > 0 \}$ ; confidence 0.530

200. n06752021.png ; $B \in M _ { m \times n } ( K )$ ; confidence 0.530

201. w13010033.png ; $\lambda _ { \phi } > 0$ ; confidence 0.530

202. v120020118.png ; $( p * , q ^ { * } )$ ; confidence 0.530

203. g1101002.png ; $S ( R ^ { x } )$ ; confidence 0.530

204. p07452019.png ; $a b \in P \Rightarrow a \in P \text { or } b \in P$ ; confidence 0.530

205. m13019025.png ; $n = 0,1,2 , \dots$ ; confidence 0.530

206. b12022011.png ; $\partial _ { t } \int \phi ( v ) f d v + \operatorname { div } _ { x } \int v \phi ( v ) f d v = 0$ ; confidence 0.530

207. c02327010.png ; $\overline { \theta } = \emptyset$ ; confidence 0.530

208. b12052051.png ; $x _ { y } \rightarrow x ^ { * }$ ; confidence 0.529

209. a12023071.png ; $b _ { Y , s }$ ; confidence 0.529

210. s120340182.png ; $S _ { H _ { j } }$ ; confidence 0.529

211. k13006047.png ; $\partial _ { k } ( m ) = \left( \begin{array} { c } { \alpha _ { k } } \\ { k - 1 } \end{array} \right) + \left( \begin{array} { c } { \alpha _ { k } - 1 } \\ { k - 2 } \end{array} \right) + \ldots + \left( \begin{array} { c } { \alpha _ { 1 } } \\ { 0 } \end{array} \right)$ ; confidence 0.529

212. f12001030.png ; $v : X \rightarrow Y$ ; confidence 0.529

213. s1304808.png ; $D a = 0$ ; confidence 0.529

214. c13016064.png ; $g ( t ( n ) )$ ; confidence 0.529

215. b12034019.png ; $D ^ { 0 } = \{ z : | z _ { 1 } | + \ldots + | z _ { n } | < 1 \}$ ; confidence 0.529

216. b01544038.png ; $122$ ; confidence 0.529

217. d13005019.png ; $G ( r , m )$ ; confidence 0.529

218. l120170259.png ; $\{ e _ { 1 } ^ { i } \}$ ; confidence 0.529

219. f12014073.png ; $z = \varphi$ ; confidence 0.529

220. l120170286.png ; $F + N$ ; confidence 0.529

221. c11041034.png ; $F y$ ; confidence 0.529

222. w13009032.png ; $L ^ { 2 } ( \mu ) = \sum _ { n = 0 } ^ { \infty } G _ { n }$ ; confidence 0.529

223. f13010010.png ; $\sum _ { n = 1 } ^ { \infty } N _ { p } ( k _ { n } ) N _ { p } , ( l _ { n } ) < \infty$ ; confidence 0.528

224. w12019027.png ; $A _ { y y }$ ; confidence 0.528

225. t12002015.png ; $T ^ { - } = \cap _ { N \geq 0 } \sigma ( X _ { n } : n \leq - N )$ ; confidence 0.528

226. d130080106.png ; $z \in D$ ; confidence 0.528

227. w120110233.png ; $H ( X ) = \operatorname { sup } _ { T \neq 0 } \sqrt { \frac { G X ( T ) } { G _ { X } ^ { g } ( T ) } }$ ; confidence 0.528

228. w120090195.png ; $\operatorname { PSL } _ { \eta } ( K )$ ; confidence 0.528

229. f12024079.png ; $J _ { y }$ ; confidence 0.528

230. b12032071.png ; $\alpha _ { 1 } = 1$ ; confidence 0.528

231. s13065067.png ; $w f p$ ; confidence 0.528

232. d03081019.png ; $d j$ ; confidence 0.528

233. q13002020.png ; $( 1 - P ) | \phi \rangle / \| ( 1 - P ) | \phi \rangle \|$ ; confidence 0.528

234. k05584043.png ; $J = J ^ { x }$ ; confidence 0.528

235. e120230136.png ; $\pi _ { r } ^ { k } : E ^ { k } \rightarrow E ^ { r }$ ; confidence 0.528

236. w12011031.png ; $= \int u ( x + \frac { y } { 2 } ) \nabla ( x - \frac { y } { 2 } ) e ^ { - 2 i \pi y \cdot \xi } d y$ ; confidence 0.528

237. b12040097.png ; $R * ( b ) H _ { R } \subset H _ { R }$ ; confidence 0.528

238. c12002042.png ; $( \text { a.c. } A ^ { \alpha } f ) _ { \alpha = 0 } = f$ ; confidence 0.528

239. e12019046.png ; $g \Rightarrow p$ ; confidence 0.528

240. m130260229.png ; $x _ { x } \leq z \leq y _ { x }$ ; confidence 0.528

241. s0911905.png ; $V _ { \square }$ ; confidence 0.528

242. f13009091.png ; $x = ( x ^ { k - 1 } , x ^ { k - 2 } , \dots , 1 )$ ; confidence 0.528

243. m06222081.png ; $S _ { i j }$ ; confidence 0.528

244. b1200408.png ; $u > 0$ ; confidence 0.528

245. b13021012.png ; $\sum _ { r \in R _ { W } } F _ { r } = d _ { W }$ ; confidence 0.528

246. d0302407.png ; $\beta _ { 0 } , \dots , \beta _ { r }$ ; confidence 0.528

247. c13025029.png ; $N _ { k } ( t ) = 1 _ { ( X _ { k } \leq t , I _ { k } ( X _ { k } ) = 1 ) }$ ; confidence 0.528

248. q1200802.png ; $p = 1 , \dots , P$ ; confidence 0.528

249. q13002024.png ; $> 2 + 3$ ; confidence 0.528

250. o0680807.png ; $A _ { i _ { 0 } }$ ; confidence 0.527

251. p12017051.png ; $k$ ; confidence 0.527

252. m11011013.png ; $- i \infty$ ; confidence 0.527

253. s12024048.png ; $z _ { i } ^ { N }$ ; confidence 0.527

254. s12004054.png ; $s _ { \lambda } = \operatorname { det } ( h _ { \lambda _ { i } - i + j } )$ ; confidence 0.527

255. c1202601.png ; $\left\{ \begin{array} { l } { u _ { t } - u _ { k x } = 0 , \quad 0 < x < 1,0 < t } \\ { u ( 0 , t ) = u ( 1 , t ) = 0 , \quad 0 < t } \\ { u ( x , 0 ) = u ^ { 0 } ( x ) , \quad 0 \leq x \leq 1 } \end{array} \right.$ ; confidence 0.527

256. b120040127.png ; $x ^ { \prime } \in X ^ { \prime }$ ; confidence 0.527

257. c02545035.png ; $T ^ { * }$ ; confidence 0.527

258. c13014043.png ; $\mathfrak { M } = ( X , \{ R _ { i } \} _ { 1 \leq i \leq r } )$ ; confidence 0.527

259. i12008029.png ; $S _ { 1 } = \pm 1 , \dots , S _ { N } = \pm 1$ ; confidence 0.527

260. a13032022.png ; $E ( N ) = E ( S _ { N } ) ( E ( Y ) ) ^ { - 1 }$ ; confidence 0.527

261. a130240329.png ; $x$ ; confidence 0.527

262. b12050047.png ; $E ( \operatorname { exp } ( - u \alpha _ { x } ) ) =$ ; confidence 0.527

263. z13013022.png ; $\sum _ { n = 0 } ^ { \infty } a _ { n } n ^ { n } P _ { n } ( \operatorname { cos } \theta )$ ; confidence 0.527

264. s12005031.png ; $( \frac { 1 - z _ { j } z _ { k } } { 1 - w _ { j } \overline { w } _ { k } } ) _ { j , k = 1 } ^ { n }$ ; confidence 0.527

265. c11043084.png ; $24$ ; confidence 0.527

266. p07566021.png ; $\Omega \times R ^ { \gamma }$ ; confidence 0.527

267. l12004021.png ; $t ^ { x + 1 }$ ; confidence 0.527

268. p130100183.png ; $K = \hat { K }$ ; confidence 0.527

269. c12018023.png ; $x ^ { 1 } , \ldots , x ^ { p }$ ; confidence 0.527

270. d12014013.png ; $D _ { n } ( x , a ) = u ^ { n } + \frac { a ^ { n } } { u ^ { n } }$ ; confidence 0.526

271. c13016062.png ; $i ( n$ ; confidence 0.526

272. m13018023.png ; $\mu ( A , B ) = ( - 1 ) ^ { | B | - | A | }$ ; confidence 0.526

273. r13004048.png ; $p _ { 1 } = 1.8412 \ldots$ ; confidence 0.526

274. a13032019.png ; $S _ { n } = Y _ { 1 } + \ldots + Y _ { n }$ ; confidence 0.526

275. m12009011.png ; $- i \partial / \partial x _ { j }$ ; confidence 0.526

276. m0620007.png ; $( X _ { n } ) _ { n } \geq k + m + 1$ ; confidence 0.526

277. a01329074.png ; $< n$ ; confidence 0.526

278. c12017032.png ; $K \subseteq R ^ { x }$ ; confidence 0.526

279. n12011073.png ; $\psi _ { x } ( . )$ ; confidence 0.526

280. a01052052.png ; $a _ { n }$ ; confidence 0.526

281. b12009095.png ; $m + n$ ; confidence 0.526

282. s12018046.png ; $\langle e _ { i } , e _ { i } \rangle = 1$ ; confidence 0.526

283. b12015017.png ; $\sum _ { j = 1 } ^ { n } x _ { j } \quad x - \sum _ { j = 1 } ^ { n } x _ { j }$ ; confidence 0.526

284. a13007032.png ; $d > c$ ; confidence 0.525

285. e120010111.png ; $e : X \rightarrow G A \in E \text { and } M = ( m _ { i } : A \rightarrow A _ { i } ) _ { I } \in \mathfrak { M }$ ; confidence 0.525

286. g1300102.png ; $E = GF ( q ^ { n } )$ ; confidence 0.525

287. a130050196.png ; $Z _ { A ( p ) } ( y ) = \prod _ { r = 1 } ^ { \infty } ( 1 - y ^ { r } ) ^ { - 1 } = \sum _ { n = 0 } ^ { \infty } p ( n ) y ^ { n }$ ; confidence 0.525

288. b120420153.png ; $C ^ { 0 }$ ; confidence 0.525

289. c02489024.png ; $\beta _ { 1 } , \ldots , \beta _ { n }$ ; confidence 0.525

290. b13012077.png ; $V _ { \varepsilon } = 2 \Delta _ { 2 } \varepsilon - \Delta _ { \varepsilon }$ ; confidence 0.525

291. f12021064.png ; $\frac { \partial } { \partial \lambda } u ( z , \lambda _ { i } ) = ( \operatorname { log } z ) z ^ { \lambda } i +$ ; confidence 0.525

292. b12037068.png ; $C _ { \Omega } ( L _ { N } )$ ; confidence 0.525

293. c13025026.png ; $T _ { 1 } , \dots , T _ { j }$ ; confidence 0.525

294. t12008049.png ; $( 5 \times 10 ^ { 6 } r ) ^ { 3 }$ ; confidence 0.525

295. s13059041.png ; $( F _ { N } > 0 , G _ { N } > 0 )$ ; confidence 0.525

296. c13005035.png ; $v \in V \Gamma$ ; confidence 0.525

297. b12049029.png ; $m ( A ) - k m ( B ) \leq m ( A \cup B ) \leq m ( A ) + k m ( B )$ ; confidence 0.525

298. e13001020.png ; $c _ { n } d ^ { n } ( d + h ) q$ ; confidence 0.525

299. w120110207.png ; $j \leq 1$ ; confidence 0.525

300. p13007015.png ; $PSH ( D )$ ; confidence 0.525

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/NoNroff/56. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/NoNroff/56&oldid=44466