Namespaces
Variants
Actions

Difference between revisions of "User:Maximilian Janisch/latexlist/latex/NoNroff/65"

From Encyclopedia of Mathematics
Jump to: navigation, search
(AUTOMATIC EDIT of page 65 out of 77 with 300 lines: Updated image/latex database (currently 22833 images latexified; order by Length, ascending: False.)
 
 
(12 intermediate revisions by 3 users not shown)
Line 1: Line 1:
 
== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130490/s1304904.png ; $r ( p ) = 0$ ; confidence 1.000
+
1. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130050/q13005078.png ; $\mathbf{D} ^ { * } = \widehat { \mathbf{C} } \backslash \overline { \mathbf{D} }$ ; confidence 0.378
  
2. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130490/s13049055.png ; $c ( p , q )$ ; confidence 0.998
+
2. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120250/a12025053.png ; $\{ ( 1 , t , t ^ { 2 } , \dots , t ^ { n } ) : t \in \operatorname{GF} ( q ) \} \cup \{ ( 0 , \dots , 0,1 ) \}$ ; confidence 0.378
  
3. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046360/h04636010.png ; $p \leq n$ ; confidence 0.889
+
3. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120070/t12007041.png ; $a_5$ ; confidence 0.378
  
4. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s1202309.png ; $O ( r )$ ; confidence 0.866
+
4. https://www.encyclopediaofmath.org/legacyimages/y/y120/y120010/y12001012.png ; $\tau_{ U , V } ( u \otimes v ) = v \otimes u$ ; confidence 0.378
  
5. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s12023038.png ; $O ( p , n )$ ; confidence 0.987
+
5. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010108.png ; $\operatorname{Sp} ( 0 )$ ; confidence 0.378
  
6. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s120230122.png ; $E ( X ) = 0$ ; confidence 0.439
+
6. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r130080134.png ; $( u , \varphi_j ) = \lambda _ { j } w _ { j }$ ; confidence 0.378
  
7. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060820/l06082022.png ; $n \geq p$ ; confidence 0.969
+
7. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120490/b12049018.png ; $\operatorname { lim } _ { n \rightarrow \infty } m _ { n } ( E ) = m ( E )$ ; confidence 0.378
  
8. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150013.png ; $\theta$ ; confidence 0.975
+
8. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130080/z1300804.png ; $n \in \mathbf{N} _ { 0 } = \{ 0,1,2 , \dots \}$ ; confidence 0.378
  
9. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s13051056.png ; $O ( | E | )$ ; confidence 0.996
+
9. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120130/l12013048.png ; $( f _ { 1 } ( \overline{X} ) , \dots , f _ { m } ( \overline{X} ) )$ ; confidence 0.378
  
10. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s13051015.png ; $g ( u ) = 0$ ; confidence 1.000
+
10. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130130/d13013079.png ; $H _ { \pm }$ ; confidence 0.378
  
11. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120240/s1202406.png ; $H * ( ; G )$ ; confidence 0.968
+
11. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b12021041.png ; $0 \rightarrow D _ { n } \stackrel { \delta _ { n } } { \rightarrow } \ldots \stackrel { \delta _ { 1 } } { \rightarrow } D _ { 0 } \stackrel { \delta _ { 0 } } { \rightarrow } \mathbf{C} \rightarrow 0$ ; confidence 0.378
  
12. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130530/s13053061.png ; $S t _ { q }$ ; confidence 0.738
+
12. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120360/b12036018.png ; $p_ x$ ; confidence 0.378
  
13. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s130540101.png ; $G = E ( R )$ ; confidence 1.000
+
13. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f12011054.png ; $- \Delta _ { k } ^ { 0 }$ ; confidence 0.378
  
14. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110170/p11017040.png ; $\{ . . \}$ ; confidence 0.804
+
14. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130210/c13021010.png ; $( a | b ) * ( c | d ) = ( a  *  c ) | ( b  *  d )$ ; confidence 0.378
  
15. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054056.png ; $K _ { 2 } F$ ; confidence 0.458
+
15. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130160/r13016033.png ; $\mathcal{I} _ {\operatorname{nd} }$ ; confidence 0.378
  
16. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s130540127.png ; $K _ { 2 } R$ ; confidence 0.970
+
16. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120160/c12016027.png ; $\|A \| _ { 2 } = \operatorname { max } _ { x \neq 0} \|Ax\|_2 / \| x \|_2$ ; confidence 0.377
  
17. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110100/b110100121.png ; $SL _ { x }$ ; confidence 0.569
+
17. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130110/t13011022.png ; $\mathcal{Y} ( T _ { A } ) = \{ N _ { B } : \operatorname { Tor } _ { 1 } ^ { B } ( N , T ) = 0 \}$ ; confidence 0.377
  
18. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s130540109.png ; $K _ { 0 } R$ ; confidence 0.965
+
18. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015064.png ; $\mathfrak { g } / \operatorname{Ad}$ ; confidence 0.377
  
19. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s13054091.png ; $K _ { 2 } R$ ; confidence 0.975
+
19. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130270/a13027022.png ; $x _ { n } \in X _ { n }$ ; confidence 0.377
  
20. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130540/s130540110.png ; $K _ { 1 } R$ ; confidence 0.987
+
20. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520363.png ; $\dot { y } _ { i } = \psi _ { i } ( x _ { 1 } , \ldots , y _ { n } ) , \quad i = 1 , \ldots , n,$ ; confidence 0.377
  
21. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120250/s1202504.png ; $h \geq 0$ ; confidence 0.845
+
21. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240236.png ; $n - r$ ; confidence 0.377
  
22. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067170/n06717077.png ; $t \in R +$ ; confidence 0.499
+
22. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110123.png ; $( a \sharp b ) ( X ) =$ ; confidence 0.377
  
23. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047200/h04720020.png ; $\Gamma$ ; confidence 0.977
+
23. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120100/l12010020.png ; $L _ { 0 , n }$ ; confidence 0.377
  
24. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012980/a012980121.png ; $C [ a , b ]$ ; confidence 0.857
+
24. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164099.png ; $V ^ { \prime }$ ; confidence 0.377
  
25. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067110/n06711024.png ; $z ^ { 18 }$ ; confidence 0.106
+
25. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o130060181.png ; $= \langle ( \xi _ { 1 } \sigma _ { 1 } + \xi _ { 2 } \sigma _ { 2 } ) u , u \rangle _ { \mathcal{E} } - \langle ( \xi _ { 1 } \sigma _ { 1 } + \xi _ { 2 } \sigma _ { 2 } ) v , v \rangle _ { \mathcal{E} }$ ; confidence 0.377
  
26. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130590/s13059024.png ; $M [ L ] > 0$ ; confidence 0.999
+
26. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016061.png ; $c_0$ ; confidence 0.377
  
27. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a1106807.png ; $p \leq q$ ; confidence 0.947
+
27. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130140/s13014017.png ; $Q _ { \lambda } = \operatorname { Pf } ( M _ { \lambda } ),$ ; confidence 0.377
  
28. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090670/s09067010.png ; $C ( C , D )$ ; confidence 0.666
+
28. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120010/f1200109.png ; $R S [ i ] = id_X$ ; confidence 0.376
  
29. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130620/s130620195.png ; $[ - g , g ]$ ; confidence 0.944
+
29. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130220/m13022010.png ; $g \in \mathbf{M}$ ; confidence 0.376
  
30. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090770/s09077034.png ; $y ( 0 ) = 0$ ; confidence 1.000
+
30. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c12018025.png ; $g = \{ d x ^ { 1 } \bigotimes d x ^ { 1 } + \ldots + d x ^ { p } \bigotimes d x ^ { p } \} +$ ; confidence 0.376
  
31. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032091.png ; $T ^ { st }$ ; confidence 0.156
+
31. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120090/f12009036.png ; $\zeta \in \mathbf{C} ^ { n }$ ; confidence 0.376
  
32. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091200/s09120032.png ; $p ( x ) = 1$ ; confidence 0.591
+
32. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n06663017.png ; $\Delta _ { h _ { i } } ^ { s }$ ; confidence 0.376
  
33. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032058.png ; $S ( L )$ ; confidence 0.980
+
33. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015019.png ; $\operatorname{Aut} ( \mathfrak{g} )$ ; confidence 0.376
  
34. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s1203205.png ; $p ( x ) = 0$ ; confidence 0.700
+
34. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t13005079.png ; $\sigma _{\operatorname{T}}$ ; confidence 0.376
  
35. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120330/s12033027.png ; $4 u ^ { 2 }$ ; confidence 0.996
+
35. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b12042030.png ; $\Psi _ { V \bigotimes W , Z } = \Psi _ { V , Z } \circ \Psi _ { W , Z },$ ; confidence 0.376
  
36. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016670/b01667094.png ; $b \geq v$ ; confidence 0.988
+
36. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d130060109.png ; $\operatorname{Bel}_{X,\text{known}}= \bigoplus _ { h_ { i } \in H } \operatorname{Bel} _ { h_i, \text{know} }.$ ; confidence 0.376
  
37. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s12034070.png ; $( T M , J )$ ; confidence 0.998
+
37. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010710/a01071033.png ; $B _ { i }$ ; confidence 0.376
  
38. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091080/s09108025.png ; $\alpha$ ; confidence 0.610
+
38. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130010/l13001010.png ; $k x = k _ { 1 } x _ { 1 } + \ldots + k _ { n } x _ { n }$ ; confidence 0.376
  
39. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130650/s13065016.png ; $H ( 0 ) = 1$ ; confidence 1.000
+
39. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130190/b13019020.png ; $| S ^ { * } ( a / q ) |$ ; confidence 0.375
  
40. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130040/t1300404.png ; $y ( 0 ) = 1$ ; confidence 0.999
+
40. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t12020073.png ; $\operatorname { inf } _ { z _ { j } } \operatorname { max } _ { j = 1 , \ldots , n^2 }  | s _ { j } | \geq \sqrt { n }$ ; confidence 0.375
  
41. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130040/t13004051.png ; $D x ^ { N }$ ; confidence 0.202
+
41. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120050/i12005052.png ; $\{ \alpha _ { n } \}$ ; confidence 0.375
  
42. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t130050151.png ; $K ( A , X )$ ; confidence 0.984
+
42. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130210/b13021031.png ; $r \in R _ { w }$ ; confidence 0.375
  
43. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130070/t1300708.png ; $g ( 0 ) = 0$ ; confidence 1.000
+
43. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003084.png ; $j _0$ ; confidence 0.375
  
44. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t12005032.png ; $n \leq p$ ; confidence 0.938
+
44. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120140/t12014010.png ; $\gamma _ { j } = \widehat { \phi } ( j ) , j \in \mathbf{Z},$ ; confidence 0.375
  
45. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t12005023.png ; $T V _ { X }$ ; confidence 0.872
+
45. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082210/r08221037.png ; $\operatorname{Ad} K$ ; confidence 0.375
  
46. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012200/a01220077.png ; $f _ { i x }$ ; confidence 0.412
+
46. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120110/n12011074.png ; $\{ \psi _ { x } ( . ) \widehat{=} f ^ { * } ( x ) : x \in M \}.$ ; confidence 0.375
  
47. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006066.png ; $N \leq Z$ ; confidence 0.742
+
47. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170142.png ; $\operatorname { lnt }  C ^ { 2 }$ ; confidence 0.375
  
48. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006076.png ; $E ^ { T F }$ ; confidence 0.429
+
48. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120010/q12001040.png ; $f _ { 1 } , \dots , f _ { n } \in \mathcal{D}$ ; confidence 0.375
  
49. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120070/t120070102.png ; $v - 11 = v$ ; confidence 0.902
+
49. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g120040175.png ; $| a _ { \alpha } | \leq C ^ { | \alpha | + 1 } , \alpha \in \mathbf{Z} _ { + } ^ { n }.$ ; confidence 0.375
  
50. https://www.encyclopediaofmath.org/legacyimages/g/g110/g110160/g11016028.png ; $M _ { 24 }$ ; confidence 0.815
+
50. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130210/t13021014.png ; $u _ { N } = \sum _ { n = 0 } ^ { N } a _ { n } \phi _ { n } ( x )$ ; confidence 0.375
  
51. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120070/t120070155.png ; $j _ { g } 2$ ; confidence 0.869
+
51. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120140/d1201406.png ; $D _ { n } ( x , a ) = x D _ { n - 1 } ( x , a ) - a D _ { n - 2 } ( x , a ) , \quad n \geq 2,$ ; confidence 0.375
  
52. https://www.encyclopediaofmath.org/legacyimages/g/g110/g110090/g11009044.png ; $F ( X , 1 )$ ; confidence 0.999
+
52. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120280/d12028072.png ; $\widetilde { D } _ { m } \supset \widetilde { D }$ ; confidence 0.375
  
53. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130100/t1301006.png ; $T \leq 1$ ; confidence 0.773
+
53. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130010/k13001014.png ; $- A ^ { \pm 3 }$ ; confidence 0.375
  
54. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t130130123.png ; $\Gamma$ ; confidence 0.634
+
54. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130110/v1301104.png ; $b / l$ ; confidence 0.375
  
55. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t13013023.png ; $T = Fac T$ ; confidence 0.409
+
55. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110100/b110100114.png ; $\sigma _ { n }$ ; confidence 0.375
  
56. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t130140178.png ; $| I _ { C }$ ; confidence 0.236
+
56. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110260/b11026014.png ; $X _ { H } , \tilde{x}$ ; confidence 0.374
  
57. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120140/t12014085.png ; $T _ { z x }$ ; confidence 0.170
+
57. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120260/c12026029.png ; $( \mathcal{L} _ { h k } V ) _ { j } ^ { n + 1 } = \frac { V _ { j } ^ { n + 1 } - V _ { j } ^ { n } } { k } - \delta ^ { 2 } \left( \frac { V _ { j } ^ { n + 1 } + V _ { j } ^ { n } } { 2 } \right),$ ; confidence 0.374
  
58. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120150/t12015022.png ; $\pi ( A )$ ; confidence 0.966
+
58. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g12004048.png ; $\varphi \in G ^ { s_0 } ( \Omega )$ ; confidence 0.374
  
59. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057480/l05748013.png ; $u _ { 1 } N$ ; confidence 0.295
+
59. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120150/e12015036.png ; $\mathcal{P} _ { j } ^ { i }$ ; confidence 0.374
  
60. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120190/t12019014.png ; $t ( k , r )$ ; confidence 0.964
+
60. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130110/m13011086.png ; $\mathbf{v}{c}$ ; confidence 0.374
  
61. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120190/t12019021.png ; $f ( k - 1 )$ ; confidence 0.627
+
61. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027180/c0271803.png ; $M _ { k }$ ; confidence 0.374
  
62. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200142.png ; $m > - 1$ ; confidence 0.998
+
62. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z130110122.png ; $\frac { \mu _ { N } ( x ) } { M } \stackrel { d } { \rightarrow } U ( 1 - U ) ^ { x - 1 },$ ; confidence 0.374
  
63. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032130/d032130166.png ; $d ^ { 11 }$ ; confidence 0.361
+
63. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a1301305.png ; $P = P _ { 0 } z + P _ { 1 } : = \left( \begin{array} { c c } { - i } & { 0 } \\ { 0 } & { i } \end{array} \right) z + \left( \begin{array} { l l } { 0 } & { q } \\ { r } & { 0 } \end{array} \right),$ ; confidence 0.374
  
64. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t12020078.png ; $c = c ( m )$ ; confidence 0.995
+
64. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120270/e12027020.png ; $\Lambda _ { m } ^ { \alpha , \beta , r , s } \sim \operatorname { log }m$ ; confidence 0.374
  
65. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120210/t12021013.png ; $t ( M ) = 1$ ; confidence 0.998
+
65. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040653.png ; $\mathbf{Me} _ { \mathcal{S} _ { P } } ^ { *L } \mathfrak { M }$ ; confidence 0.374
  
66. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058790/l0587906.png ; $x _ { 1 } y$ ; confidence 0.064
+
66. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130220/b130220116.png ; $k = 0 , \dots , m.$ ; confidence 0.374
  
67. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096040/v0960408.png ; $s ( r )$ ; confidence 0.997
+
67. https://www.encyclopediaofmath.org/legacyimages/o/o120/o120060/o12006067.png ; $\| f \| _ { W ^ { k - 1 }  L _ { \Phi } ( \partial \Omega )}  + \textbf { inf } $ ; confidence 0.374
  
68. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130050/v13005080.png ; $V ( n ) = 0$ ; confidence 0.384
+
68. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130070/g13007018.png ; $a \in \mathcal{A}$ ; confidence 0.374
  
69. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020140.png ; $F \neq 0$ ; confidence 0.539
+
69. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240377.png ; $T ^ { 2 }$ ; confidence 0.373
  
70. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v12002086.png ; $q \geq n$ ; confidence 0.763
+
70. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130290/a13029048.png ; $\operatorname{HF} _ { * } ^ { \operatorname{symp} } ( M , \phi )$ ; confidence 0.373
  
71. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130070/v13007031.png ; $Z = x + i y$ ; confidence 0.963
+
71. https://www.encyclopediaofmath.org/legacyimages/o/o120/o120020/o12002015.png ; $\int _ { 0 } ^ { \infty } | F ( x ) | ^ { 2 } ( 1 + x ) ^ { c - 2 a } \frac { d x } { x } =$ ; confidence 0.373
  
72. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130070/v13007061.png ; $q ( 1 ) = 0$ ; confidence 1.000
+
72. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017016.png ; $\#$ ; confidence 0.373
  
73. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120040/v1200402.png ; $\mu ( G )$ ; confidence 0.994
+
73. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120010/q12001092.png ; $\mathfrak { g } ^ { c }$ ; confidence 0.373
  
74. https://www.encyclopediaofmath.org/legacyimages/v/v110/v110060/v11006021.png ; $w ( x , y )$ ; confidence 0.877
+
74. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040033.png ; $G \times F / \sim$ ; confidence 0.373
  
75. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145010.png ; $f ( x , y )$ ; confidence 1.000
+
75. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013220/a01322048.png ; $f _ { k }$ ; confidence 0.373
  
76. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130110/v13011030.png ; $w ( m , l )$ ; confidence 0.806
+
76. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120550/b12055034.png ; $- b _ { \gamma }$ ; confidence 0.373
  
77. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900119.png ; $P \sim Q$ ; confidence 0.976
+
77. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120230/a12023025.png ; $\operatorname { limsup } _ { k \rightarrow \infty } \sqrt [  | a _k |] {k}\leq 1$ ; confidence 0.373
  
78. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120060/v12006014.png ; $p - 1 | 2 n$ ; confidence 0.998
+
78. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s12023034.png ; $X \sim \mathcal{U} _ { p , n}$ ; confidence 0.373
  
79. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017340/b017340117.png ; $\omega$ ; confidence 0.835
+
79. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120070/q12007092.png ; $H ^ { * \operatorname{op} }$ ; confidence 0.373
  
80. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110100/b11010019.png ; $B _ { X } *$ ; confidence 0.969
+
80. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130020/s13002023.png ; $N_x$ ; confidence 0.372
  
81. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096490/v09649073.png ; $X ^ { * * }$ ; confidence 0.510
+
81. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130220/b13022060.png ; $| F ( u ) | \leq C _ { 1 } \sum _ { \alpha \in K } \rho ^ { m - N / p } \| D ^ { \alpha } u \| _ { p , T }.$ ; confidence 0.372
  
82. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120020/w1200209.png ; $W ( P , Q )$ ; confidence 1.000
+
82. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120270/c12027016.png ; $\alpha ( k ) = \operatorname{Vol} ( S ^ { k } )$ ; confidence 0.372
  
83. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130040/w1300405.png ; $z = u + i v$ ; confidence 0.999
+
83. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040490/f04049036.png ; $X _ { 1 } , \dots , X _ { m }$ ; confidence 0.372
  
84. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120060/w120060109.png ; $T _ { F R }$ ; confidence 0.609
+
84. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230177.png ; $( \mathcal{E} ^ { a } ( L ) \circ \sigma ^ { 2 k } ) ( Z ^ { a } \circ \sigma ) \Delta.$ ; confidence 0.372
  
85. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120060/w12006091.png ; $T _ { A } M$ ; confidence 0.318
+
85. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120160/d12016032.png ; $\| g _ { n } \| \rightarrow 0$ ; confidence 0.372
  
86. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041510/f04151073.png ; $k \neq 1$ ; confidence 0.485
+
86. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120280/d12028069.png ; $d z = d z _ { 1 } \bigwedge \ldots \bigwedge d z _ { n } , \quad \langle a , b \rangle = a _ { 1 } b _ { 1 } + \ldots + a _ { n } b _ { n }.$ ; confidence 0.372
  
87. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130070/w13007014.png ; $\Delta$ ; confidence 0.952
+
87. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w13009024.png ; $F _ { n-1 } $ ; confidence 0.372
  
88. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062690/m062690149.png ; $E ( x , t )$ ; confidence 0.999
+
88. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120190/c12019035.png ; $H ^ { q } ( \Gamma , \mathbf{C} )$ ; confidence 0.372
  
89. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090443.png ; $S ( n , r )$ ; confidence 0.770
+
89. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130140/c13014039.png ; $A _ { l }$ ; confidence 0.372
  
90. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090279.png ; $| \sum |$ ; confidence 0.402
+
90. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g13002046.png ; $\mathbf{Q} ( \alpha ^ { \beta } , \ldots , \alpha ^ { \beta ^ { d - 1 } } )$ ; confidence 0.372
  
91. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090387.png ; $z _ { v } +$ ; confidence 0.460
+
91. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c12008028.png ; $A _ { i j } A _ { k l } = A _ { k l } A _ { i j }$ ; confidence 0.372
  
92. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090242.png ; $s [ x ( C )$ ; confidence 0.303
+
92. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120340/b12034022.png ; $K _ { n } ( D ^ { \circ } ) . D ^ { \circ }$ ; confidence 0.372
  
93. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w12009021.png ; $S ( n , 1 )$ ; confidence 0.956
+
93. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650400.png ; $F_{i}$ ; confidence 0.372
  
94. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110218.png ; $S ( m , G )$ ; confidence 0.909
+
94. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006014.png ; $n = ( n _{1} , \ldots , n _ { m } )$ ; confidence 0.372
  
95. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110231.png ; $S ( 1 , G )$ ; confidence 0.724
+
95. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130180/m1301807.png ; $x \nleq y$ ; confidence 0.372
  
96. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110259.png ; $H ( m , G )$ ; confidence 0.999
+
96. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170223.png ; $\mathcal{P} = \langle x _ { 1 } , \dots , x _ { g } | R _ { 1 } , \dots , R _ { n } \rangle$ ; confidence 0.372
  
97. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110207.png ; $j \leq 1$ ; confidence 0.525
+
97. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130140/c13014038.png ; $A_{l} = ( a _ { i,j })$ ; confidence 0.372
  
98. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110106.png ; $H ( u , v )$ ; confidence 0.997
+
98. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110430/c11043070.png ; $\mathcal{S} _ { n }$ ; confidence 0.371
  
99. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120120/w12012076.png ; $( + + + - )$ ; confidence 0.994
+
99. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170108.png ; $\langle a , b | a ^ { p } b ^ { q } , a ^ { r } b ^ { s } \rangle$ ; confidence 0.371
  
100. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a01138063.png ; $\infty$ ; confidence 0.931
+
100. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130050/g13005042.png ; $2 ^ { d - 1 } ( 2 d - 1 )$ ; confidence 0.371
  
101. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080119.png ; $d S _ { A }$ ; confidence 0.185
+
101. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120110/n12011054.png ; $\psi : \mathbf{R} ^ { n } \rightarrow \mathbf{R}$ ; confidence 0.371
  
102. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066590/n06659020.png ; $\theta$ ; confidence 0.774
+
102. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130070/t13007030.png ; $a_0 , a_1 , \dots$ ; confidence 0.371
  
103. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080154.png ; $1 = 3 g - 3$ ; confidence 0.935
+
103. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t13013032.png ; $\mathcal{Y} = \operatorname { Sub } T$ ; confidence 0.371
  
104. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080157.png ; $T M _ { g }$ ; confidence 0.917
+
104. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024100/c024100140.png ; $E ^ { r }$ ; confidence 0.371
  
105. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080117.png ; $d S = Q d E$ ; confidence 0.645
+
105. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120020/c12002068.png ; $x ^ { \prime \prime } = ( x _ { k+1}, \dots , x _ { n } )$ ; confidence 0.371
  
106. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120160/w12016019.png ; $| D ( C ) |$ ; confidence 0.674
+
106. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130020/b1300209.png ; $\operatorname { lim } \{ \| x ^ { n } \| ^ { 1 / n } \} = \operatorname { max } \{ | \lambda | : \lambda \in \operatorname { sp } ( J , x ) \}$ ; confidence 0.370
  
107. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w13009041.png ; $8 ^ { - n }$ ; confidence 0.127
+
107. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130120/b13012028.png ; $( f  *  d \mu ) _ { N } : = \operatorname { lim } _ { h \rightarrow 0 } \int _ { \mathbf{R} } f _ { h } \left( \frac { x - u } { N } \right) d \mu ( u ),$ ; confidence 0.370
  
108. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015570/b01557024.png ; $k \leq n$ ; confidence 0.926
+
108. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011820/a011820177.png ; $S _ { k }$ ; confidence 0.370
  
109. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046280/h046280183.png ; $\{ f , \}$ ; confidence 0.501
+
109. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021850/c02185025.png ; $x \in \mathbf{R} ^ { m }$ ; confidence 0.370
  
110. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120190/w12019027.png ; $A _ { y y }$ ; confidence 0.528
+
110. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120200/a12020041.png ; $\{ f ( t ) \} _ { ( k ; t _ { i } ) } = \sum _ { m = 0 } ^ { k } \frac { ( t - t _ { i } ) ^ { m } } { m ! } \frac { d ^ { m } f ( t ) } { d t ^ { m } } | _ { t = t _ { i } }.$ ; confidence 0.370
  
111. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120190/w1201909.png ; $f _ { W Y }$ ; confidence 0.521
+
111. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009047.png ; $f e ^ { i a \operatorname { ln } \tau } = f e ^ { a i } = \xi$ ; confidence 0.370
  
112. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120190/w12019035.png ; $f ( x , p )$ ; confidence 1.000
+
112. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130220/b130220120.png ; $C _ { m , N, \epsilon}$ ; confidence 0.370
  
113. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130120/w13012019.png ; $T _ { Hd }$ ; confidence 0.330
+
113. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130140/p1301404.png ; $\hat { f } ( \alpha , p ) = \int _ { \operatorname { l_ {\alpha p} } } f ( x ) d s$ ; confidence 0.370
  
114. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130140/w13014021.png ; $H ( x ) = 1$ ; confidence 0.937
+
114. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130060/m1300608.png ; $d ^ { m }$ ; confidence 0.370
  
115. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130140/w13014018.png ; $H ( x ) = 0$ ; confidence 0.924
+
115. https://www.encyclopediaofmath.org/legacyimages/y/y120/y120010/y12001054.png ; $\{ E _ { t } ^ { s } \} _ { 1  \leq s , t \leq n}$ ; confidence 0.370
  
116. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130170/w13017067.png ; $k ( 0 ) = 1$ ; confidence 0.499
+
116. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130080/d130080147.png ; $R = c$ ; confidence 0.370
  
117. https://www.encyclopediaofmath.org/legacyimages/x/x120/x120010/x12001095.png ; $R ^ { * } G$ ; confidence 0.856
+
117. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120080/f12008046.png ; $\xi ^ { * } \widetilde { \eta }$ ; confidence 0.370
  
118. https://www.encyclopediaofmath.org/legacyimages/x/x120/x120010/x12001089.png ; $R ^ { * } N$ ; confidence 0.881
+
118. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130090/c13009016.png ; $C _ { j } = ( 1 - x ^ { 2 } ) \frac { T _ { N } ^ { \prime } ( x ) ( - 1 ) ^ { j + 1 } } { [ \bar{c} _ { j } N ^ { 2 } ( x - x _ { j } ) ] },$ ; confidence 0.370
  
119. https://www.encyclopediaofmath.org/legacyimages/x/x120/x120020/x12002033.png ; $D ( R )$ ; confidence 0.960
+
119. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130110/s13011023.png ; $w _ { n } \in \mathcal{S}_n$ ; confidence 0.370
  
120. https://www.encyclopediaofmath.org/legacyimages/x/x120/x120020/x12002047.png ; $ad _ { q }$ ; confidence 0.460
+
120. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120340/b12034012.png ; $\alpha = ( \alpha _ { 1 } , \ldots , \alpha _ { n } )$ ; confidence 0.370
  
121. https://www.encyclopediaofmath.org/legacyimages/x/x120/x120030/x12003026.png ; $D \geq 1$ ; confidence 0.954
+
121. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120140/d1201403.png ; $D_ { n } ( x , a ) = \sum _ { i = 0 } ^ { \lfloor n / 2 \rfloor } \frac { n } { n - i } \left( \begin{array} { c } { n - i } \\ { i } \end{array} \right) ( - a ) ^ { i } x ^ { n - 2 i },$ ; confidence 0.369
  
122. https://www.encyclopediaofmath.org/legacyimages/y/y120/y120020/y1200204.png ; $A ( \xi )$ ; confidence 0.994
+
122. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040452.png ; $\psi _ { 0 } , \ldots , \psi _ { n - 1 } \vDash _ { \mathsf{K} } \varphi$ ; confidence 0.369
  
123. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130010/z13001054.png ; $x ( 2 ) = 1$ ; confidence 1.000
+
123. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w12007034.png ; $\mathcal{D} = ( D _ { 1 } , \dots , D _ { n } )$ ; confidence 0.369
  
124. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130010/z13001053.png ; $x ( 1 ) = 0$ ; confidence 1.000
+
124. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130040/r13004051.png ; $\mu _ { 2 } ( \Omega ) \leq \left( \frac { 1 } { | \Omega | } \right) ^ { 2 / n } C _ { n } ^ { 2 / n } p _ { n / 2,1 } ^ { 2 },$ ; confidence 0.369
  
125. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130010/z13001073.png ; $z ^ { - k }$ ; confidence 0.591
+
125. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f12011036.png ; $\operatorname { Im } \zeta$ ; confidence 0.369
  
126. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059140/l05914040.png ; $x ( 0 ) = 0$ ; confidence 0.999
+
126. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031670/d03167020.png ; $\widetilde { K } ( X / A ) = K ( X , A )$ ; confidence 0.369
  
127. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130100/z13010058.png ; $a \cup b$ ; confidence 0.838
+
127. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050260.png ; $\pi _ { \mathcal{C} } ^ { \# } ( x ) = \sum _ { n \leq x } P _ { \mathcal{C} } ^ { \# } ( n )$ ; confidence 0.369
  
128. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033400/d0334002.png ; $f ( t ) = 0$ ; confidence 1.000
+
128. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130220/a13022054.png ; $\Box_R \text { Mod } ( ? , C )$ ; confidence 0.369
  
129. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130030/z13003013.png ; $Z _ { k } f$ ; confidence 0.183
+
129. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013099.png ; $z \in \mathbf{C}$ ; confidence 0.369
  
130. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130030/z13003022.png ; $[ - b , b ]$ ; confidence 1.000
+
130. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130230/b13023020.png ; $\emptyset$ ; confidence 0.369
  
131. https://www.encyclopediaofmath.org/legacyimages/z/z120/z120010/z12001086.png ; $( 3 m - 2 )$ ; confidence 1.000
+
131. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130190/m13019018.png ; $M _ { n } = [ m _ { i+j }] _ { i , j = 0 } ^ { n }$ ; confidence 0.369
  
132. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130070/z13007018.png ; $x \in Q G$ ; confidence 0.724
+
132. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o13001045.png ; $\| \mathcal{F} f \| _ { L } 2 (\mathbf{R} ^ { 3  )} = \| f \| _ { L ^ { 2 } ( D ^ { \prime } ) }$ ; confidence 0.369
  
133. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130070/z13007013.png ; $u \in Z G$ ; confidence 0.756
+
133. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120300/b12030066.png ; $L _ { \text{loc}} ^ { 2 } ( R ^ { N } )$ ; confidence 0.369
  
134. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130080/z13008020.png ; $m = n - 2 j$ ; confidence 0.994
+
134. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130270/a13027036.png ; $Y _ { n } = \operatorname { span } \{ \psi _ { 1 } , \dots , \psi _ { n } \}$ ; confidence 0.369
  
135. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130080/z1300805.png ; $p ( x , y )$ ; confidence 1.000
+
135. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130090/r1300909.png ; $\sum _ { i = 1 } ^ { r } g_i ( \mathbf{a} ^ { i }. \mathbf{x} ),$ ; confidence 0.368
  
136. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130080/z13008055.png ; $J _ { i j }$ ; confidence 0.417
+
136. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024056.png ; $i = 1 , \ldots , I$ ; confidence 0.368
  
137. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z13011013.png ; $29,099$ ; confidence 0.895
+
137. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050124.png ; $\hat{A} ( t , u )$ ; confidence 0.368
  
138. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z130110127.png ; $M _ { i k }$ ; confidence 0.958
+
138. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220100.png ; $H _ { \mathcal{D} } ^ { i } ( X _ { \mathbf{C} } , A ( j ) )$ ; confidence 0.368
  
139. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z130110128.png ; $N _ { i j }$ ; confidence 0.649
+
139. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120180/a12018071.png ; $( S _ { n+m } )$ ; confidence 0.368
  
140. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a13001017.png ; $3 + 5$ ; confidence 0.136
+
140. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f120150202.png ; $\|x_n \| < C$ ; confidence 0.368
  
141. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a13001014.png ; $R el$ ; confidence 0.544
+
141. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j120020159.png ; $h \in \operatorname{BMO}$ ; confidence 0.368
  
142. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001048.png ; $( S , g )$ ; confidence 0.978
+
142. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z130110118.png ; $\mathsf{P} \{ M / N \leq x \} \stackrel { \omega } { \rightarrow } F ( x )$ ; confidence 0.368
  
143. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010109.png ; $m > 3$ ; confidence 0.916
+
143. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006079.png ; $A = B ^ { \uparrow X }$ ; confidence 0.368
  
144. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001094.png ; $n + 2$ ; confidence 1.000
+
144. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130100/r13010049.png ; $\alpha : x \rightarrow y$ ; confidence 0.368
  
145. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t1200108.png ; $1 > 1$ ; confidence 0.983
+
145. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150051.png ; $u _ { j }$ ; confidence 0.368
  
146. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010110.png ; $k > 7$ ; confidence 0.997
+
146. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s1202302.png ; $X : = X \Lambda$ ; confidence 0.368
  
147. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013075.png ; $( g )$ ; confidence 0.981
+
147. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130500/s1305005.png ; $\left( \begin{array} { c } { [ n ] } \\ { k } \end{array} \right) : = \{ X \subseteq [ n ] : | X | = k \} , k = 0 , \ldots , n.$ ; confidence 0.367
  
148. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013026.png ; $( 1 )$ ; confidence 0.515
+
148. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120080/i12008070.png ; $\operatorname { exp } \left\{ \frac { 1 } { k _ { B } T } \sum _ { i = 1 } ^ { N } [ J S _ { i } S _ { i+ 1 } + \frac { H } { 2 } ( S _ { i } + S _ { i+ 1 } ) ] \right\} =$ ; confidence 0.367
  
149. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420123.png ; $\pi$ ; confidence 0.772
+
149. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l120120144.png ; $\sigma _ { 1 } , \ldots , \sigma _ { e }$ ; confidence 0.367
  
150. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013098.png ; $\pi$ ; confidence 0.434
+
150. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015076.png ; $\operatorname{det} \; \operatorname { Ad } ( g ) = 1$ ; confidence 0.367
  
151. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022039.png ; $S < T$ ; confidence 0.984
+
151. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016600/b0166004.png ; $\mathbf{u}$ ; confidence 0.367
  
152. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024059.png ; $( i , j )$ ; confidence 0.935
+
152. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130010/f13001055.png ; $n ^ { \omega }$ ; confidence 0.367
  
153. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240342.png ; $Y , B , E$ ; confidence 0.984
+
153. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120070/t12007081.png ; $\hat { E } _ { 8 }$ ; confidence 0.367
  
154. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240453.png ; $q = 1$ ; confidence 0.790
+
154. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i13005086.png ; $\int _ { s } ^ { \infty } ( 1 + | x | ) | R _ { - } ^ { \prime } ( x ) | d x < \infty$ ; confidence 0.367
  
155. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240236.png ; $n - r$ ; confidence 0.377
+
155. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f120150163.png ; $\| T \| < \gamma ( A )$ ; confidence 0.367
  
156. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024015.png ; $n > m$ ; confidence 0.980
+
156. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120280/a120280169.png ; $t \in G$ ; confidence 0.366
  
157. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240104.png ; $y _ { i }$ ; confidence 0.771
+
157. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130070/i13007058.png ; $L _ { \text{loc} } ^ { 2 }$ ; confidence 0.366
  
158. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240310.png ; $\eta i$ ; confidence 0.793
+
158. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120100/b12010044.png ; $S ^ { n } ( t )$ ; confidence 0.366
  
159. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240513.png ; $T _ { 2 }$ ; confidence 0.856
+
159. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130030/b13003045.png ; $V ^ { \sigma ( y ) } / \operatorname { Ker } ( y )$ ; confidence 0.366
  
160. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240474.png ; $X _ { 1 }$ ; confidence 0.793
+
160. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040075.png ; $C ^ { + } \subset \mathfrak { h } _ { R } ^ { * }$ ; confidence 0.366
  
161. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024018.png ; $E _ { i }$ ; confidence 0.085
+
161. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040410.png ; $Mod ^ { * \operatorname{L}}  \mathcal{D} = Mod ^ { * S}  \mathcal{ D }$ ; confidence 0.366
  
162. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240450.png ; $H _ { j }$ ; confidence 0.615
+
162. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c120170104.png ; $( p , q ) _ { M } = \langle M \hat { p } , \hat { q } \rangle$ ; confidence 0.366
  
163. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240147.png ; $\mu$ ; confidence 0.780
+
163. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f12023072.png ; $\delta _ { P } = [ P , . ] ^ { \wedge }$ ; confidence 0.366
  
164. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240377.png ; $T ^ { 2 }$ ; confidence 0.373
+
164. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b12042018.png ; $\otimes ^{\operatorname{op}} : \mathcal{C} \times \mathcal{C} \rightarrow \mathcal{C}$ ; confidence 0.366
  
165. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240182.png ; $H _ { A }$ ; confidence 0.550
+
165. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120110/d1201108.png ; $I \subset \mathbf{N}$ ; confidence 0.366
  
166. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240331.png ; $p _ { 1 }$ ; confidence 0.141
+
166. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040245.png ; $x \approx y \vDash_{\mathsf{K}} K ( E ( x , y ) ) \approx L ( E ( x , y ) ).$ ; unknown symbol
  
167. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240490.png ; $X _ { 2 }$ ; confidence 0.785
+
167. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110010/h11001026.png ; $A ( x ) = \sum _ { p \leq x } 1 / p . \operatorname { Im } ( f ( p ) p ^ { - i a_{ 0 } } )$ ; confidence 0.366
  
168. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240489.png ; $s = k + 1$ ; confidence 0.997
+
168. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016066.png ; $c_1$ ; confidence 0.366
  
169. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240183.png ; $\eta i$ ; confidence 0.599
+
169. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016020.png ; $L_i$ ; confidence 0.366
  
170. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024084.png ; $\beta$ ; confidence 0.683
+
170. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130010/l13001074.png ; $H _ { N } = \cup \left\{ m \in \mathbf{Z} ^ { n } : 2 ^ { s_j }  \leq | m _ { j } | < 2 ^ { s_  j + 1} \right\}$ ; confidence 0.365
  
171. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240547.png ; $T ^ { 2 }$ ; confidence 0.505
+
171. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120140/d1201405.png ; $\leq n / 2$ ; confidence 0.365
  
172. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a12031093.png ; $I _ { 1 }$ ; confidence 0.843
+
172. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016046.png ; $A ( t _ { 0 } ) = A _ { 0 } , \dot { X } ( t ) = [ N ( X ( t ) , A ( t ) , t ) - X ( t ) ] \operatorname { exp } ( - k P ( t ) ),$ ; confidence 0.365
  
173. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a1203106.png ; $W ^ { * }$ ; confidence 0.779
+
173. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120180/a12018061.png ; $( S _ { n  + 2} )$ ; confidence 0.365
  
174. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002019.png ; $H _ { 0 }$ ; confidence 0.561
+
174. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120050/l12005021.png ; $L _ { 1 } ( \mathbf{R} _ { + } ; e ^ { - x } / \sqrt { x } )$ ; confidence 0.365
  
175. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002023.png ; $t \in I$ ; confidence 0.900
+
175. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120140/p1201402.png ; $E$ ; confidence 0.365
  
176. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002010.png ; $s ^ { 1 }$ ; confidence 0.733
+
176. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130030/b13003050.png ; $Q _ { x } V ^ { \mp } = 0$ ; confidence 0.365
  
177. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130020/a13002018.png ; $x \in A$ ; confidence 0.612
+
177. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120070/l12007012.png ; $v _ { i , t }$ ; confidence 0.365
  
178. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120030/a1200308.png ; $f ( - x )$ ; confidence 1.000
+
178. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022067.png ; $\mathbf{C}$ ; confidence 0.365
  
179. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120040/a12004023.png ; $x _ { 0 }$ ; confidence 0.701
+
179. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130590/s1305906.png ; $\Lambda _ { p , q }$ ; confidence 0.365
  
180. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120040/a12004027.png ; $C _ { 0 }$ ; confidence 0.674
+
180. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110100/b110100173.png ; $\mathcal{A} _ { n }$ ; confidence 0.365
  
181. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040725.png ; $S _ { P }$ ; confidence 0.869
+
181. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j130040136.png ; $P _ { L } ( i , i ) = ( i \sqrt { 2 } ) ^ { \operatorname { dim } ( H _ { 1 } ( M ^ { ( 3 ) } , \mathbf{Z} _ { 2 } ) ) }$ ; confidence 0.365
  
182. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040799.png ; $D \in K$ ; confidence 0.799
+
182. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510141.png ; $L \oplus  k = \{ \text{l} \oplus  k  : \text{l} \in L \}$ ; confidence 0.365
  
183. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040602.png ; $S _ { P }$ ; confidence 0.543
+
183. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130020/b13002091.png ; $x ^ { * } : = 2 ( 1 | x ) 1 - \sigma ( x ) , \| x \| ^ { 2 } : = ( x | x ) + ( ( x | x ) ^ { 2 } - | ( x | \sigma ( x ) ) | ^ { 2 } ) ^ { 1 / 2 },$ ; confidence 0.365
  
184. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040751.png ; $r \in R$ ; confidence 0.924
+
184. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130050/c13005016.png ; $\langle S \rangle = G$ ; confidence 0.365
  
185. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040592.png ; $S _ { P }$ ; confidence 0.582
+
185. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120270/a12027064.png ; $\operatorname { Gal } ( N / E )$ ; confidence 0.365
  
186. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040235.png ; $i \in I$ ; confidence 0.922
+
186. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130090/f13009096.png ; $H _ { n + 1 } ^ { ( k ) } ( x ) = \sum \frac { ( n _ { 1 } + \ldots + n _ { k } ) ! } { n _ { 1 } ! \ldots n _ { k } ! } x _ { 1 } ^ { n _ { 1 } } \ldots x _ { k } ^ { n _ { k } },$ ; confidence 0.364
  
187. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040298.png ; $A \in Q$ ; confidence 0.797
+
187. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016670/b01667055.png ; $i , j , k = 1 , \dots , m$ ; confidence 0.364
  
188. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040182.png ; $b \in G$ ; confidence 0.936
+
188. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b12043065.png ; $\Delta y = y \bigotimes 1 + 1 \bigotimes y , \varepsilon y = 0,$ ; confidence 0.364
  
189. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040795.png ; $K _ { 0 }$ ; confidence 0.742
+
189. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120270/a12027094.png ; $N / K$ ; confidence 0.364
  
190. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004015.png ; $H _ { D }$ ; confidence 0.344
+
190. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110040/l11004058.png ; $F _ { \mathcal{X} }$ ; confidence 0.364
  
191. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040434.png ; $F _ { 0 }$ ; confidence 0.417
+
191. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120060/l12006021.png ; $\langle \lambda | f )$ ; confidence 0.364
  
192. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040797.png ; $C \in K$ ; confidence 0.632
+
192. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b120420100.png ; $q \in k ^ { * }$ ; confidence 0.364
  
193. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040503.png ; $F \in C$ ; confidence 0.475
+
193. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120010/w12001026.png ; $L _ { n } = - z ^ { n } D$ ; confidence 0.364
  
194. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050210.png ; $G _ { K }$ ; confidence 0.987
+
194. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f130290144.png ; $\phi ^ { \operatorname{op} }$ ; confidence 0.363
  
195. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050176.png ; $F _ { q }$ ; confidence 0.880
+
195. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130040/k1300408.png ; $\sum  c_ { i } x _ { i }$ ; confidence 0.363
  
196. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042090.png ; $n > 0$ ; confidence 0.998
+
196. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t12005052.png ; $\mathbf{R} ^ { n } \times \mathbf{R} ^ { p }$ ; confidence 0.363
  
197. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050112.png ; $v \in Y$ ; confidence 0.562
+
197. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120500/b12050019.png ; $\mathcal{Z} _ { 0 } ^ { o } ( t ) : = \{ s : M _ { s } - W _ { s } = 0 , s \leq t \}$ ; confidence 0.363
  
198. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005071.png ; $- A ( t )$ ; confidence 1.000
+
198. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a1201709.png ; $\mu ( a )$ ; confidence 0.363
  
199. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050111.png ; $\beta$ ; confidence 0.604
+
199. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f120150173.png ; $\Gamma ( A ) = \operatorname { inf } _ { M } \| A |_M \|$ ; confidence 0.363
  
200. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050132.png ; $R ^ { N }$ ; confidence 0.875
+
200. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130060/l13006070.png ; $\frac { 1 } { 4 n } \operatorname { max } \{ a _ { i } : 0 \leq i \leq t \} \leq \Delta _ { 2 } \leq \frac { 1 } { 4 n } \left( \sum _ { i = 0 } ^ { t } a _ { i } + 2 \right).$ ; confidence 0.363
  
201. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a12006022.png ; $R ^ { p }$ ; confidence 0.981
+
201. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130080/d13008063.png ; $E ( a , R ) = \left\{ x \in \mathbf{B} : \frac { | 1 - ( x , a ) | ^ { 2 } } { 1 - \| x \| ^ { 2 } } < R \right\}$ ; confidence 0.363
  
202. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a120070125.png ; $( t , v )$ ; confidence 0.995
+
202. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130040/o1300407.png ; $\mu _ { \varepsilon } ^ { x } : = \mathcal{P} _ { x } \{ \omega : \rho ( X _ { t } ( \omega ) , \phi ( t ) ) \leq \varepsilon \text { for every }t \in [ 0 , T ] \},$ ; confidence 0.363
  
203. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a120070103.png ; $R ^ { n }$ ; confidence 0.807
+
203. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120300/b1203002.png ; $\psi ( y ) = e ^ { i \eta . y } \phi ( y ) \text { a.e. for } y \in \mathbf{R} ^ { N },$ ; confidence 0.363
  
204. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007088.png ; $K _ { 3 }$ ; confidence 0.689
+
204. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017510/b01751021.png ; $x \in E _ { 1 }$ ; confidence 0.363
  
205. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060159.png ; $S _ { Y }$ ; confidence 0.505
+
205. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c120080115.png ; $= \left\{ \begin{array} { l l } { I _ { n } , } & { p = q = 0, } \\ { 0 , } & { p \neq 0 \text { or } / \text { and } q \neq 0. } \end{array} \right.$ ; confidence 0.363
  
206. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006064.png ; $G _ { R }$ ; confidence 0.757
+
206. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120020/h12002023.png ; $\operatorname { sup } _ { I } \frac { 1 } { | I | } \int _ { I } | f - f _ { I } | d m < \infty,$ ; confidence 0.363
  
207. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006069.png ; $G _ { 1 }$ ; confidence 0.748
+
207. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130100/b13010063.png ; $L_a^2$ ; confidence 0.363
  
208. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006081.png ; $U _ { d }$ ; confidence 0.304
+
208. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120160/f12016051.png ; $\lambda \notin \sigma _ {\text { lre } } ( T )$ ; confidence 0.362
  
209. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060153.png ; $S _ { E }$ ; confidence 0.676
+
209. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130080/d13008026.png ; $a \in \partial \Delta$ ; confidence 0.362
  
210. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006061.png ; $A _ { F }$ ; confidence 0.613
+
210. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060040/l0600402.png ; $f ( z ) = a _ { 0 } z ^ { n } + \ldots + a _ { n - 1} z + a _ { n } =$ ; confidence 0.362
  
211. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060160.png ; $S _ { F }$ ; confidence 0.532
+
211. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130130/s13013011.png ; $\operatorname{exp} ( G )$ ; confidence 0.362
  
212. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a130060105.png ; $( 0,1 )$ ; confidence 1.000
+
212. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520460.png ; $\{ Y : y _ { i } = 0 , \square i = i _ { 1 } , \dots , i _ { l } \}$ ; confidence 0.362
  
213. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006042.png ; $P _ { q }$ ; confidence 0.879
+
213. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s12034076.png ; $\tilde{x} = ( x , u )$ ; confidence 0.362
  
214. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006053.png ; $P _ { R }$ ; confidence 0.730
+
214. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040316.png ; $h ( x ) = a , \ldots , h ( w ) = d$ ; confidence 0.362
  
215. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008032.png ; $t \in R$ ; confidence 0.780
+
215. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110124.png ; $= 2 ^ { 2 n } \int \int e ^ { - 4 i \pi [ X - Y , X - Z ] } { a } ( Y ) b ( Z ) d Y d Z ,$ ; confidence 0.362
  
216. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008029.png ; $v \in V$ ; confidence 0.893
+
216. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120130/l12013067.png ; $\bar{x} \in V ( \tilde{\mathbf{Q}} )$ ; confidence 0.362
  
217. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007063.png ; $- 1 / 25$ ; confidence 0.998
+
217. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050133.png ; $a_j ( .,. )$ ; confidence 0.362
  
218. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007098.png ; $n ^ { 0 }$ ; confidence 0.997
+
218. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090670/s09067035.png ; $j _ { x } ^ { k } ( u )$ ; confidence 0.362
  
219. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007038.png ; $< 6232$ ; confidence 0.975
+
219. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f12021087.png ; $L = a ^ { [ 2 ] } ( z ) z ^ { 2 } \left( \frac { d } { d z } \right) ^ { 2 } + a ^ { [ 1 ] } ( z ) z \left( \frac { d } { d z } \right) + a ^ { [ 0 ] } ( z ).$ ; confidence 0.362
  
220. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a130070137.png ; $S _ { n }$ ; confidence 0.559
+
220. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b12042094.png ; $w $ ; confidence 0.362
  
221. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a130070111.png ; $U _ { a }$ ; confidence 0.882
+
221. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120420/b12042056.png ; $b _ { i } b _ { i  + 1} b _ { i } = b _ { i  + 1} b _ { i } b _ { i } + 1 , b _ { i } b _ { j } = b _ { j } b _ { i } , \quad | i - j | \geq 2,$ ; confidence 0.362
  
222. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008059.png ; $s = R - L$ ; confidence 0.998
+
222. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130250/c13025028.png ; $Z _ { k } ( t )$ ; confidence 0.362
  
223. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010027.png ; $2 ^ { X }$ ; confidence 0.843
+
223. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b12021062.png ; $\Theta( M ) \subset Z ( \mathfrak { g } ) ^ { * }$ ; confidence 0.361
  
224. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010052.png ; $i ^ { p }$ ; confidence 0.206
+
224. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i130030113.png ; $c : T ^ { * } M \cong T M \rightarrow \operatorname { End } ( W )$ ; confidence 0.361
  
225. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010054.png ; $X ^ { * }$ ; confidence 0.384
+
225. https://www.encyclopediaofmath.org/legacyimages/n/n130/n130040/n1300401.png ; $\mathcal{C} _ { n } = \left( \begin{array} { c } { 2 n } \\ { n } \end{array} \right) - \left( \begin{array} { c } { 2 n } \\ { n - 1 } \end{array} \right)$ ; confidence 0.361
  
226. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012072.png ; $( A , I )$ ; confidence 0.928
+
226. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t130140108.png ; $\sum _ { i , j \in Q _ { 0 } } e _ { j } I { e }_i$ ; confidence 0.361
  
227. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a1101607.png ; $a _ { i }$ ; confidence 0.422
+
227. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j130040142.png ; $P _ { L } ( e ^ { \pi i / 3 } , i ) = \varepsilon ( L ) i ^ { \operatorname { com } ( L ) - 1 } ( i \sqrt { 3 } ) ^ { \operatorname { dim } ( H _ { 1 } ( M ^ { ( 2 ) } , \mathbf{Z} _ { 3 } ) ) }$ ; confidence 0.361
  
228. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012094.png ; $y _ { 0 }$ ; confidence 0.466
+
228. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080060/r08006041.png ; $\operatorname{III} _ { 1 }$ ; confidence 0.361
  
229. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012010.png ; $b _ { j }$ ; confidence 0.794
+
229. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032130/d032130166.png ; $d ^ { \prime \prime }$ ; confidence 0.361
  
230. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012058.png ; $( x , y )$ ; confidence 0.994
+
230. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020103.png ; $y _ { 0 } \in \operatorname{Fix} G$ ; confidence 0.361
  
231. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a1201202.png ; $( A , B )$ ; confidence 0.998
+
231. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s12023060.png ; $K ^ { \prime } K = I _ { m }$ ; confidence 0.361
  
232. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a11030017.png ; $( n + 1 )$ ; confidence 0.999
+
232. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120050/b12005049.png ; $\mathcal{H} _ { b } ( E )$ ; confidence 0.361
  
233. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a11030034.png ; $K _ { n }$ ; confidence 0.319
+
233. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090359.png ; $\Lambda( V ) = \Lambda$ ; confidence 0.361
  
234. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024060.png ; $A _ { i }$ ; confidence 0.577
+
234. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130240/f13024044.png ; $L_{ - 2}$ ; confidence 0.360
  
235. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032021.png ; $B _ { j }$ ; confidence 0.487
+
235. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085260/s08526050.png ; $\overline { D^- } $ ; confidence 0.360
  
236. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032036.png ; $n _ { S }$ ; confidence 0.383
+
236. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110220/d11022020.png ; $\sum ^ { n _ { k = 1 } } c _ { k } ( b - a ) ^ { k } \| p _ { k } \| < 1,$ ; confidence 0.360
  
237. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110320/a11032018.png ; $e ^ { Z }$ ; confidence 0.225
+
237. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120140/d12014084.png ; $\mathbf{Z} _ { n }$ ; confidence 0.360
  
238. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015014.png ; $Z _ { C }$ ; confidence 0.104
+
238. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110010/h11001010.png ; $\sum _ { n \leq x } f ( n ) = c . x ^ { 1 + i a } . L ( \operatorname { log } x ) + o ( x ).$ ; confidence 0.360
  
239. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a0105503.png ; $g \in G$ ; confidence 0.223
+
239. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008030.png ; $f ( x ) / \operatorname { g } ( x ; m , s )$ ; confidence 0.360
  
240. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015079.png ; $a ^ { x }$ ; confidence 0.276
+
240. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030550/d03055027.png ; $x \in R$ ; confidence 0.360
  
241. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015019.png ; $( g )$ ; confidence 0.376
+
241. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a014060101.png ; $\beta _ { i }$ ; confidence 0.359
  
242. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015042.png ; $X \in q$ ; confidence 0.793
+
242. https://www.encyclopediaofmath.org/legacyimages/l/l130/l130100/l13010057.png ; $R ^ { * } g : = \int _ { S ^ { n - 1 }} g ( \alpha , \alpha . x ) d \alpha $ ; confidence 0.359
  
243. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016059.png ; $u _ { k }$ ; confidence 0.694
+
243. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130010/m13001025.png ; $\hat { f } \in \mathcal{H}$ ; confidence 0.359
  
244. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a120160113.png ; $x _ { i }$ ; confidence 0.583
+
244. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120080/w12008021.png ; $S ^ { \prime } ( \mathbf{R} ^ { 2 n } )$ ; confidence 0.359
  
245. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016057.png ; $S _ { i }$ ; confidence 0.402
+
245. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120170/s12017022.png ; $D = \{ 1,0 , - 1 \} ^ { n }$ ; confidence 0.359
  
246. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a120160123.png ; $e ^ { a }$ ; confidence 0.326
+
246. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120020/h120020113.png ; $\rho _ { n } ( \phi ) = \operatorname { inf } \{ \| \phi - r \| _ {  \operatorname{BMO} } : \rho \in \mathcal{R} _ { n } \},$ ; confidence 0.359
  
247. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a120160105.png ; $p _ { i }$ ; confidence 0.830
+
247. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130050/f13005028.png ; $\sum _ { l = 1 } ^ { m } w _ { i } . \frac { p _ { i } - x _ { 0 } } { \| p _ { i } - x _ { 0 } \| } = 0.$ ; confidence 0.359
  
248. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a120160109.png ; $1,160$ ; confidence 0.999
+
248. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130130/p13013063.png ; $\zeta _ { \lambda } ^ { \lambda } = i ^ { ( n - r ( \lambda ) + 1 ) / 2 } \sqrt { ( \lambda _ { 1 } \ldots \lambda _ { r ( \lambda ) } ) / 2 }$ ; confidence 0.359
  
249. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002046.png ; $GF ( q )$ ; confidence 0.897
+
249. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t12005086.png ; $\dots \Sigma ^ { i _ { 1 } , \ldots , i _ { r } } ( f ) = \Sigma ^ { i _ { r } } ( f | _ { \Sigma ^ { i _ { 1 } } , \ldots , i _ { r - 1 } ( f ) } ).$ ; confidence 0.359
  
250. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017041.png ; $s ^ { x }$ ; confidence 0.482
+
250. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130110/d1301107.png ; $= ( \alpha _ { x } \mathbf{p} _ { x } + \alpha _ { y } \mathbf{p}_ y + \alpha _ { z } \mathbf{p} _ { z } + \beta m _ { 0 } c ) ^ { 2 }.$ ; confidence 0.359
  
251. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120180/a12018029.png ; $T _ { n }$ ; confidence 0.277
+
251. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130060/k13006019.png ; $a _ { k  - 1} + 1$ ; confidence 0.359
  
252. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120180/a12018044.png ; $a < 1 < b$ ; confidence 0.848
+
252. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120070/e12007086.png ; $\{ p _ M\}$ ; confidence 0.359
  
253. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120180/a12018098.png ; $20,41$ ; confidence 0.313
+
253. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021900/c0219009.png ; $T _ { n } ( x )$ ; confidence 0.359
  
254. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130140/a13014019.png ; $R ^ { 2 }$ ; confidence 0.964
+
254. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120080/i12008071.png ; $= \sum _ { S _ { 1 } = \pm 1 } \cdots \sum _ { S _ { N } = \pm 1 } \prod _ { i = 1 } ^ { N }$ ; confidence 0.359
  
255. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130140/a13014020.png ; $R ^ { 3 }$ ; confidence 0.946
+
255. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i130090211.png ; $k _ { \infty } ^ { \prime }$ ; confidence 0.359
  
256. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004048.png ; $d _ { 2 }$ ; confidence 0.284
+
256. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130500/s13050019.png ; $\nabla ( \mathcal{A} ) : = \left\{ Y \in \left( \begin{array} { l } { [ n ] } \\ { l + 1 } \end{array} \right) : Y \supset X \text { for some } X\in \mathcal{A} \right\}.$ ; confidence 0.359
  
257. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a011300143.png ; $\prod$ ; confidence 0.729
+
257. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120040/i12004012.png ; $A = \{ | h _ { 1 } ( z ) | < 1 , \dots , | h _ { \text{l} } ( z ) | < 1 \}$ ; confidence 0.358
  
258. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130170/a13017034.png ; $( n - 1 )$ ; confidence 1.000
+
258. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130040/i1300408.png ; $ \operatorname{bv} = \left\{ d = \{ d _ { k } \} : \| d \| _ {  \operatorname{bv} } = \sum _ { k = 0 } ^ { \infty } | \Delta d _ { k } | < \infty \right\}$ ; confidence 0.358
  
259. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018066.png ; $L _ { w }$ ; confidence 0.741
+
259. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120030/d12003052.png ; $x _ { n } \searrow x _ { 0 }$ ; confidence 0.358
  
260. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018093.png ; $y = ( L )$ ; confidence 0.194
+
260. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220111.png ; $\mathcal{L} ( i , m ) = \operatorname { det } _ {  \operatorname{Q} } H _ { B } ^ { i } ( X_{ / \mathbf{R}} , \mathbf{R} ( i - m ) ).$ ; confidence 0.358
  
261. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018034.png ; $H _ { T }$ ; confidence 0.333
+
261. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120240/e12024088.png ; $\Lambda_L \in H ^ { 1 } ( \mathbf{Z} [ 1 / p L ] ; \mathbf{Z} / M ( n ) )$ ; confidence 0.358
  
262. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018039.png ; $s \tau$ ; confidence 0.163
+
262. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120270/s12027032.png ; $A _ { s } ^ { + } = \left\{ \begin{array} { l l } { f : } & { f \in A _ { s } } \\  & { f ^ { ( s ) } \text { has no change of } \operatorname { sign } \operatorname { in } ( a , b ) } \end{array} \right\}.$ ; confidence 0.358
  
263. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120200/a12020027.png ; $t ^ { M }$ ; confidence 0.694
+
263. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120020/w12002021.png ; $ \operatorname{l} _ { 1 } ( P , Q ) = \operatorname{ sup } \left\{ \int f d ( P - Q ) : \operatorname { Lip } f \leq 1 \right\}.$ ; confidence 0.358
  
264. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120200/a12020085.png ; $T \in X$ ; confidence 0.437
+
264. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020133.png ; $\Lambda ( F ) = \sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } \operatorname { tr } ( r _n*  \circ t_n *  ^ { - 1 } );$ ; confidence 0.358
  
265. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130190/a13019025.png ; $( n , k )$ ; confidence 0.999
+
265. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120020/b12002015.png ; $\| \alpha _ { n } + \beta _ { n } \|$ ; confidence 0.358
  
266. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130190/a13019027.png ; $2 n - 2 m$ ; confidence 0.999
+
266. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130080/c13008016.png ; $A _ { K } / \mathfrak{p}$ ; confidence 0.358
  
267. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130220/a13022016.png ; $r f = i d$ ; confidence 0.467
+
267. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011840/a011840142.png ; $q_k$ ; confidence 0.358
  
268. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130220/a13022061.png ; $S _ { C }$ ; confidence 0.563
+
268. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s12023051.png ; $.\left| I _ { p } + \Sigma ^ { - 1 } X X ^ { \prime } \right| ^ { - ( \delta + n + p - 1 ) / 2 } , X \in \mathbf{R} ^ { p \times n },$ ; confidence 0.357
  
269. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130220/a13022055.png ; $E _ { C }$ ; confidence 0.848
+
269. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120310/b12031078.png ; $x \in \mathcal{T} ^ { n }$ ; confidence 0.357
  
270. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130220/a13022013.png ; $g s = 1 d$ ; confidence 0.956
+
270. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130210/c13021021.png ; $L _ { + }$ ; confidence 0.357
  
271. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130230/a1302309.png ; $f \in H$ ; confidence 0.705
+
271. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130070/w13007010.png ; $\operatorname { ch } V = \sum _ { \mu \in \mathfrak{h} ^ { * } } ( \operatorname { dim } V _ { \mu } ) e ^ { \mu }.$ ; confidence 0.357
  
272. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130230/a13023030.png ; $f _ { 1 }$ ; confidence 0.693
+
272. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130050/o13005087.png ; $v _ { n } \in \mathfrak{G}$ ; confidence 0.357
  
273. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110360/a11036013.png ; $n > 1$ ; confidence 0.998
+
273. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110269.png ; $g _ { 1 } = | d x | ^ { 2 } + \frac { | d \xi | ^ { 2 } } { | \xi | ^ { 2 } } \leq g_2 = \frac { | d x | ^ { 2 } } { | x | ^ { 2 } } + \frac { | d \xi | ^ { 2 } } { | \xi | ^ { 2 } },$ ; confidence 0.357
  
274. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120230/a12023067.png ; $S _ { j }$ ; confidence 0.934
+
274. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130160/c130160156.png ; $ \operatorname{NC} = \text { ASPACETIME } [ \operatorname { log } n , ( \operatorname { log } n ) ^ { O ( 1 ) } ].$ ; confidence 0.357
  
275. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130250/a13025024.png ; $i = 1,2$ ; confidence 0.946
+
275. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130120/w13012022.png ; $T _ {  \operatorname{W} d } = T _ { \operatorname{H}d }$ ; confidence 0.357
  
276. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130270/a13027027.png ; $x _ { y }$ ; confidence 0.536
+
276. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013290/a0132908.png ; $\neg$ ; confidence 0.357
  
277. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130270/a13027050.png ; $g \in Y$ ; confidence 0.815
+
277. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290219.png ; $G ( I ) = \oplus _ { n  \geq 0} I ^ { n } / I ^ { n + 1 }$ ; confidence 0.357
  
278. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012330/a01233046.png ; $y \in Y$ ; confidence 0.835
+
278. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120070/e120070109.png ; $\widetilde { H } ^ { 1 }$ ; confidence 0.357
  
279. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130270/a13027070.png ; $f \in Y$ ; confidence 0.841
+
279. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020115.png ; $x ^ { ( l ) }$ ; confidence 0.356
  
280. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130270/a13027084.png ; $Y ^ { * }$ ; confidence 0.917
+
280. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060040/l06004025.png ; $\operatorname { lim } _ { k \rightarrow \infty } \bar{g} _ { k , p } = \frac { f ^ { * } ( z ) } { ( z - r _ { 1 } ) \ldots ( z - r _ { p } ) },$ ; confidence 0.356
  
281. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130270/a1302705.png ; $( X , Y )$ ; confidence 0.995
+
281. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120110/n12011041.png ; $\underline { x } = ( x _ { 1 } , \dots , x _ { n } )$ ; confidence 0.356
  
282. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130270/a13027032.png ; $Q _ { x }$ ; confidence 0.409
+
282. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120020/w12002017.png ; $\text{l} _ { p } ( P , Q ) = \operatorname { inf } \{ \| d ( X , Y ) \| _ { p } \}$ ; confidence 0.356
  
283. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130260/a13026026.png ; $q ^ { n }$ ; confidence 0.211
+
283. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c120170126.png ; $V ( z _ { 0 } , \dots , z _ { r  - 1} ) ( \rho _ { 0 } , \dots , \rho _ { r - 1 } ) ^ { T } = ( \gamma _ { 00 } , \dots , \gamma _ { 0 , r - 1 } ) ^ { T }$ ; confidence 0.356
  
284. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011480/a01148049.png ; $a _ { n }$ ; confidence 0.168
+
284. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f12011037.png ; $\Delta \subset \mathbf{R} ^ { n }$ ; confidence 0.356
  
285. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011480/a011480114.png ; $b _ { n }$ ; confidence 0.936
+
285. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b120210148.png ; $\mathfrak { p } \supset \mathfrak{b}$ ; confidence 0.356
  
286. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130260/a1302608.png ; $c _ { y }$ ; confidence 0.175
+
286. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120030/b12003033.png ; $m b$ ; confidence 0.356
  
287. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120240/a12024056.png ; $w ^ { 2 }$ ; confidence 0.561
+
287. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040365.png ; $\widetilde { \Omega } _ { \mathcal{D} } F = \bigcap \{ \Omega G : F \subseteq G \in  \operatorname{Fi} _ { \mathcal{D} } \mathbf{A} \}.$ ; confidence 0.356
  
288. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120240/a12024041.png ; $( E , h )$ ; confidence 0.998
+
288. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003097.png ; $ \operatorname{vp} ( . )$ ; confidence 0.356
  
289. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120240/a12024030.png ; $( p , p )$ ; confidence 1.000
+
289. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020014.png ; $[ e _ { i } f _ { j } ] = \delta _ { i j } h _ { i }$ ; confidence 0.355
  
290. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120240/a12024017.png ; $( Z , g )$ ; confidence 0.854
+
290. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220176.png ; $\operatorname{ord}_ { s = m } L ( h ^ { i } ( X ) , s ) =$ ; confidence 0.355
  
291. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120250/a12025066.png ; $n = q - 2$ ; confidence 0.997
+
291. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001085.png ; $\mathbf{Q}$ ; confidence 0.355
  
292. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010580/a01058026.png ; $( k + 1 )$ ; confidence 1.000
+
292. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i13009035.png ; $r _ { 1 } ( k )$ ; confidence 0.355
  
293. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120250/a12025014.png ; $( q + 2 )$ ; confidence 1.000
+
293. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130010/z13001062.png ; $z/ z - a$ ; confidence 0.355
  
294. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120250/a12025094.png ; $n = q + 1$ ; confidence 0.998
+
294. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120200/a12020053.png ; $N = r _1 + \ldots + r _ { n }$ ; confidence 0.355
  
295. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120250/a12025022.png ; $( q + 1 )$ ; confidence 1.000
+
295. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130040/i1300405.png ; $\widehat{L^1}$ ; confidence 0.355
  
296. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120250/a12025060.png ; $q > n + 1$ ; confidence 0.998
+
296. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110230/d11023013.png ; $\bar{L}$ ; confidence 0.354
  
297. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120250/a12025049.png ; $GF ( q )$ ; confidence 0.786
+
297. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014026.png ; $\mathbf{X} = ( X _ { i } , \phi _ { \beta } ) _ { j \in Q _ { 0 } ,  \beta \in Q _ { 1 }}$ ; confidence 0.354
  
298. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120250/a12025097.png ; $( k , n )$ ; confidence 0.998
+
298. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s120230156.png ; $\operatorname{rank} ( A _ { i } ) = n_i$ ; confidence 0.354
  
299. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120260/a12026057.png ; $A ^ { N }$ ; confidence 0.753
+
299. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l05700062.png ; $F A _ { 1 } \ldots A _ { n }$ ; confidence 0.354
  
300. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011100/a01110079.png ; $x \in A$ ; confidence 0.327
+
300. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120080/q12008039.png ; $= \frac { 1 } { 2 ( 1 - \sigma _ { p - 1 } ) ( 1 - \sigma _ { p } ) } \left[ \sum _ { k = 1 } ^ { q - 1 } \lambda _ { k } b _ { k } ^ { ( 2 ) } + ( 1 - \sigma _ { p - 1 } ) \frac { b _ { q } ^ { ( 2 ) } } { b _ { q } } \right] , 1 \leq p \leq q - 1,$ ; confidence 0.354

Latest revision as of 23:03, 19 May 2020

List

1. q13005078.png ; $\mathbf{D} ^ { * } = \widehat { \mathbf{C} } \backslash \overline { \mathbf{D} }$ ; confidence 0.378

2. a12025053.png ; $\{ ( 1 , t , t ^ { 2 } , \dots , t ^ { n } ) : t \in \operatorname{GF} ( q ) \} \cup \{ ( 0 , \dots , 0,1 ) \}$ ; confidence 0.378

3. t12007041.png ; $a_5$ ; confidence 0.378

4. y12001012.png ; $\tau_{ U , V } ( u \otimes v ) = v \otimes u$ ; confidence 0.378

5. t120010108.png ; $\operatorname{Sp} ( 0 )$ ; confidence 0.378

6. r130080134.png ; $( u , \varphi_j ) = \lambda _ { j } w _ { j }$ ; confidence 0.378

7. b12049018.png ; $\operatorname { lim } _ { n \rightarrow \infty } m _ { n } ( E ) = m ( E )$ ; confidence 0.378

8. z1300804.png ; $n \in \mathbf{N} _ { 0 } = \{ 0,1,2 , \dots \}$ ; confidence 0.378

9. l12013048.png ; $( f _ { 1 } ( \overline{X} ) , \dots , f _ { m } ( \overline{X} ) )$ ; confidence 0.378

10. d13013079.png ; $H _ { \pm }$ ; confidence 0.378

11. b12021041.png ; $0 \rightarrow D _ { n } \stackrel { \delta _ { n } } { \rightarrow } \ldots \stackrel { \delta _ { 1 } } { \rightarrow } D _ { 0 } \stackrel { \delta _ { 0 } } { \rightarrow } \mathbf{C} \rightarrow 0$ ; confidence 0.378

12. b12036018.png ; $p_ x$ ; confidence 0.378

13. f12011054.png ; $- \Delta _ { k } ^ { 0 }$ ; confidence 0.378

14. c13021010.png ; $( a | b ) * ( c | d ) = ( a * c ) | ( b * d )$ ; confidence 0.378

15. r13016033.png ; $\mathcal{I} _ {\operatorname{nd} }$ ; confidence 0.378

16. c12016027.png ; $\|A \| _ { 2 } = \operatorname { max } _ { x \neq 0} \|Ax\|_2 / \| x \|_2$ ; confidence 0.377

17. t13011022.png ; $\mathcal{Y} ( T _ { A } ) = \{ N _ { B } : \operatorname { Tor } _ { 1 } ^ { B } ( N , T ) = 0 \}$ ; confidence 0.377

18. a12015064.png ; $\mathfrak { g } / \operatorname{Ad}$ ; confidence 0.377

19. a13027022.png ; $x _ { n } \in X _ { n }$ ; confidence 0.377

20. n067520363.png ; $\dot { y } _ { i } = \psi _ { i } ( x _ { 1 } , \ldots , y _ { n } ) , \quad i = 1 , \ldots , n,$ ; confidence 0.377

21. a130240236.png ; $n - r$ ; confidence 0.377

22. w120110123.png ; $( a \sharp b ) ( X ) =$ ; confidence 0.377

23. l12010020.png ; $L _ { 0 , n }$ ; confidence 0.377

24. a01164099.png ; $V ^ { \prime }$ ; confidence 0.377

25. o130060181.png ; $= \langle ( \xi _ { 1 } \sigma _ { 1 } + \xi _ { 2 } \sigma _ { 2 } ) u , u \rangle _ { \mathcal{E} } - \langle ( \xi _ { 1 } \sigma _ { 1 } + \xi _ { 2 } \sigma _ { 2 } ) v , v \rangle _ { \mathcal{E} }$ ; confidence 0.377

26. a12016061.png ; $c_0$ ; confidence 0.377

27. s13014017.png ; $Q _ { \lambda } = \operatorname { Pf } ( M _ { \lambda } ),$ ; confidence 0.377

28. f1200109.png ; $R S [ i ] = id_X$ ; confidence 0.376

29. m13022010.png ; $g \in \mathbf{M}$ ; confidence 0.376

30. c12018025.png ; $g = \{ d x ^ { 1 } \bigotimes d x ^ { 1 } + \ldots + d x ^ { p } \bigotimes d x ^ { p } \} +$ ; confidence 0.376

31. f12009036.png ; $\zeta \in \mathbf{C} ^ { n }$ ; confidence 0.376

32. n06663017.png ; $\Delta _ { h _ { i } } ^ { s }$ ; confidence 0.376

33. a12015019.png ; $\operatorname{Aut} ( \mathfrak{g} )$ ; confidence 0.376

34. t13005079.png ; $\sigma _{\operatorname{T}}$ ; confidence 0.376

35. b12042030.png ; $\Psi _ { V \bigotimes W , Z } = \Psi _ { V , Z } \circ \Psi _ { W , Z },$ ; confidence 0.376

36. d130060109.png ; $\operatorname{Bel}_{X,\text{known}}= \bigoplus _ { h_ { i } \in H } \operatorname{Bel} _ { h_i, \text{know} }.$ ; confidence 0.376

37. a01071033.png ; $B _ { i }$ ; confidence 0.376

38. l13001010.png ; $k x = k _ { 1 } x _ { 1 } + \ldots + k _ { n } x _ { n }$ ; confidence 0.376

39. b13019020.png ; $| S ^ { * } ( a / q ) |$ ; confidence 0.375

40. t12020073.png ; $\operatorname { inf } _ { z _ { j } } \operatorname { max } _ { j = 1 , \ldots , n^2 } | s _ { j } | \geq \sqrt { n }$ ; confidence 0.375

41. i12005052.png ; $\{ \alpha _ { n } \}$ ; confidence 0.375

42. b13021031.png ; $r \in R _ { w }$ ; confidence 0.375

43. g13003084.png ; $j _0$ ; confidence 0.375

44. t12014010.png ; $\gamma _ { j } = \widehat { \phi } ( j ) , j \in \mathbf{Z},$ ; confidence 0.375

45. r08221037.png ; $\operatorname{Ad} K$ ; confidence 0.375

46. n12011074.png ; $\{ \psi _ { x } ( . ) \widehat{=} f ^ { * } ( x ) : x \in M \}.$ ; confidence 0.375

47. l120170142.png ; $\operatorname { lnt } C ^ { 2 }$ ; confidence 0.375

48. q12001040.png ; $f _ { 1 } , \dots , f _ { n } \in \mathcal{D}$ ; confidence 0.375

49. g120040175.png ; $| a _ { \alpha } | \leq C ^ { | \alpha | + 1 } , \alpha \in \mathbf{Z} _ { + } ^ { n }.$ ; confidence 0.375

50. t13021014.png ; $u _ { N } = \sum _ { n = 0 } ^ { N } a _ { n } \phi _ { n } ( x )$ ; confidence 0.375

51. d1201406.png ; $D _ { n } ( x , a ) = x D _ { n - 1 } ( x , a ) - a D _ { n - 2 } ( x , a ) , \quad n \geq 2,$ ; confidence 0.375

52. d12028072.png ; $\widetilde { D } _ { m } \supset \widetilde { D }$ ; confidence 0.375

53. k13001014.png ; $- A ^ { \pm 3 }$ ; confidence 0.375

54. v1301104.png ; $b / l$ ; confidence 0.375

55. b110100114.png ; $\sigma _ { n }$ ; confidence 0.375

56. b11026014.png ; $X _ { H } , \tilde{x}$ ; confidence 0.374

57. c12026029.png ; $( \mathcal{L} _ { h k } V ) _ { j } ^ { n + 1 } = \frac { V _ { j } ^ { n + 1 } - V _ { j } ^ { n } } { k } - \delta ^ { 2 } \left( \frac { V _ { j } ^ { n + 1 } + V _ { j } ^ { n } } { 2 } \right),$ ; confidence 0.374

58. g12004048.png ; $\varphi \in G ^ { s_0 } ( \Omega )$ ; confidence 0.374

59. e12015036.png ; $\mathcal{P} _ { j } ^ { i }$ ; confidence 0.374

60. m13011086.png ; $\mathbf{v}{c}$ ; confidence 0.374

61. c0271803.png ; $M _ { k }$ ; confidence 0.374

62. z130110122.png ; $\frac { \mu _ { N } ( x ) } { M } \stackrel { d } { \rightarrow } U ( 1 - U ) ^ { x - 1 },$ ; confidence 0.374

63. a1301305.png ; $P = P _ { 0 } z + P _ { 1 } : = \left( \begin{array} { c c } { - i } & { 0 } \\ { 0 } & { i } \end{array} \right) z + \left( \begin{array} { l l } { 0 } & { q } \\ { r } & { 0 } \end{array} \right),$ ; confidence 0.374

64. e12027020.png ; $\Lambda _ { m } ^ { \alpha , \beta , r , s } \sim \operatorname { log }m$ ; confidence 0.374

65. a130040653.png ; $\mathbf{Me} _ { \mathcal{S} _ { P } } ^ { *L } \mathfrak { M }$ ; confidence 0.374

66. b130220116.png ; $k = 0 , \dots , m.$ ; confidence 0.374

67. o12006067.png ; $\| f \| _ { W ^ { k - 1 } L _ { \Phi } ( \partial \Omega )} + \textbf { inf } $ ; confidence 0.374

68. g13007018.png ; $a \in \mathcal{A}$ ; confidence 0.374

69. a130240377.png ; $T ^ { 2 }$ ; confidence 0.373

70. a13029048.png ; $\operatorname{HF} _ { * } ^ { \operatorname{symp} } ( M , \phi )$ ; confidence 0.373

71. o12002015.png ; $\int _ { 0 } ^ { \infty } | F ( x ) | ^ { 2 } ( 1 + x ) ^ { c - 2 a } \frac { d x } { x } =$ ; confidence 0.373

72. p12017016.png ; $\#$ ; confidence 0.373

73. q12001092.png ; $\mathfrak { g } ^ { c }$ ; confidence 0.373

74. b12040033.png ; $G \times F / \sim$ ; confidence 0.373

75. a01322048.png ; $f _ { k }$ ; confidence 0.373

76. b12055034.png ; $- b _ { \gamma }$ ; confidence 0.373

77. a12023025.png ; $\operatorname { limsup } _ { k \rightarrow \infty } \sqrt [ | a _k |] {k}\leq 1$ ; confidence 0.373

78. s12023034.png ; $X \sim \mathcal{U} _ { p , n}$ ; confidence 0.373

79. q12007092.png ; $H ^ { * \operatorname{op} }$ ; confidence 0.373

80. s13002023.png ; $N_x$ ; confidence 0.372

81. b13022060.png ; $| F ( u ) | \leq C _ { 1 } \sum _ { \alpha \in K } \rho ^ { m - N / p } \| D ^ { \alpha } u \| _ { p , T }.$ ; confidence 0.372

82. c12027016.png ; $\alpha ( k ) = \operatorname{Vol} ( S ^ { k } )$ ; confidence 0.372

83. f04049036.png ; $X _ { 1 } , \dots , X _ { m }$ ; confidence 0.372

84. e120230177.png ; $( \mathcal{E} ^ { a } ( L ) \circ \sigma ^ { 2 k } ) ( Z ^ { a } \circ \sigma ) \Delta.$ ; confidence 0.372

85. d12016032.png ; $\| g _ { n } \| \rightarrow 0$ ; confidence 0.372

86. d12028069.png ; $d z = d z _ { 1 } \bigwedge \ldots \bigwedge d z _ { n } , \quad \langle a , b \rangle = a _ { 1 } b _ { 1 } + \ldots + a _ { n } b _ { n }.$ ; confidence 0.372

87. w13009024.png ; $F _ { n-1 } $ ; confidence 0.372

88. c12019035.png ; $H ^ { q } ( \Gamma , \mathbf{C} )$ ; confidence 0.372

89. c13014039.png ; $A _ { l }$ ; confidence 0.372

90. g13002046.png ; $\mathbf{Q} ( \alpha ^ { \beta } , \ldots , \alpha ^ { \beta ^ { d - 1 } } )$ ; confidence 0.372

91. c12008028.png ; $A _ { i j } A _ { k l } = A _ { k l } A _ { i j }$ ; confidence 0.372

92. b12034022.png ; $K _ { n } ( D ^ { \circ } ) . D ^ { \circ }$ ; confidence 0.372

93. a011650400.png ; $F_{i}$ ; confidence 0.372

94. a12006014.png ; $n = ( n _{1} , \ldots , n _ { m } )$ ; confidence 0.372

95. m1301807.png ; $x \nleq y$ ; confidence 0.372

96. l120170223.png ; $\mathcal{P} = \langle x _ { 1 } , \dots , x _ { g } | R _ { 1 } , \dots , R _ { n } \rangle$ ; confidence 0.372

97. c13014038.png ; $A_{l} = ( a _ { i,j })$ ; confidence 0.372

98. c11043070.png ; $\mathcal{S} _ { n }$ ; confidence 0.371

99. l120170108.png ; $\langle a , b | a ^ { p } b ^ { q } , a ^ { r } b ^ { s } \rangle$ ; confidence 0.371

100. g13005042.png ; $2 ^ { d - 1 } ( 2 d - 1 )$ ; confidence 0.371

101. n12011054.png ; $\psi : \mathbf{R} ^ { n } \rightarrow \mathbf{R}$ ; confidence 0.371

102. t13007030.png ; $a_0 , a_1 , \dots$ ; confidence 0.371

103. t13013032.png ; $\mathcal{Y} = \operatorname { Sub } T$ ; confidence 0.371

104. c024100140.png ; $E ^ { r }$ ; confidence 0.371

105. c12002068.png ; $x ^ { \prime \prime } = ( x _ { k+1}, \dots , x _ { n } )$ ; confidence 0.371

106. b1300209.png ; $\operatorname { lim } \{ \| x ^ { n } \| ^ { 1 / n } \} = \operatorname { max } \{ | \lambda | : \lambda \in \operatorname { sp } ( J , x ) \}$ ; confidence 0.370

107. b13012028.png ; $( f * d \mu ) _ { N } : = \operatorname { lim } _ { h \rightarrow 0 } \int _ { \mathbf{R} } f _ { h } \left( \frac { x - u } { N } \right) d \mu ( u ),$ ; confidence 0.370

108. a011820177.png ; $S _ { k }$ ; confidence 0.370

109. c02185025.png ; $x \in \mathbf{R} ^ { m }$ ; confidence 0.370

110. a12020041.png ; $\{ f ( t ) \} _ { ( k ; t _ { i } ) } = \sum _ { m = 0 } ^ { k } \frac { ( t - t _ { i } ) ^ { m } } { m ! } \frac { d ^ { m } f ( t ) } { d t ^ { m } } | _ { t = t _ { i } }.$ ; confidence 0.370

111. b12009047.png ; $f e ^ { i a \operatorname { ln } \tau } = f e ^ { a i } = \xi$ ; confidence 0.370

112. b130220120.png ; $C _ { m , N, \epsilon}$ ; confidence 0.370

113. p1301404.png ; $\hat { f } ( \alpha , p ) = \int _ { \operatorname { l_ {\alpha p} } } f ( x ) d s$ ; confidence 0.370

114. m1300608.png ; $d ^ { m }$ ; confidence 0.370

115. y12001054.png ; $\{ E _ { t } ^ { s } \} _ { 1 \leq s , t \leq n}$ ; confidence 0.370

116. d130080147.png ; $R = c$ ; confidence 0.370

117. f12008046.png ; $\xi ^ { * } \widetilde { \eta }$ ; confidence 0.370

118. c13009016.png ; $C _ { j } = ( 1 - x ^ { 2 } ) \frac { T _ { N } ^ { \prime } ( x ) ( - 1 ) ^ { j + 1 } } { [ \bar{c} _ { j } N ^ { 2 } ( x - x _ { j } ) ] },$ ; confidence 0.370

119. s13011023.png ; $w _ { n } \in \mathcal{S}_n$ ; confidence 0.370

120. b12034012.png ; $\alpha = ( \alpha _ { 1 } , \ldots , \alpha _ { n } )$ ; confidence 0.370

121. d1201403.png ; $D_ { n } ( x , a ) = \sum _ { i = 0 } ^ { \lfloor n / 2 \rfloor } \frac { n } { n - i } \left( \begin{array} { c } { n - i } \\ { i } \end{array} \right) ( - a ) ^ { i } x ^ { n - 2 i },$ ; confidence 0.369

122. a130040452.png ; $\psi _ { 0 } , \ldots , \psi _ { n - 1 } \vDash _ { \mathsf{K} } \varphi$ ; confidence 0.369

123. w12007034.png ; $\mathcal{D} = ( D _ { 1 } , \dots , D _ { n } )$ ; confidence 0.369

124. r13004051.png ; $\mu _ { 2 } ( \Omega ) \leq \left( \frac { 1 } { | \Omega | } \right) ^ { 2 / n } C _ { n } ^ { 2 / n } p _ { n / 2,1 } ^ { 2 },$ ; confidence 0.369

125. f12011036.png ; $\operatorname { Im } \zeta$ ; confidence 0.369

126. d03167020.png ; $\widetilde { K } ( X / A ) = K ( X , A )$ ; confidence 0.369

127. a130050260.png ; $\pi _ { \mathcal{C} } ^ { \# } ( x ) = \sum _ { n \leq x } P _ { \mathcal{C} } ^ { \# } ( n )$ ; confidence 0.369

128. a13022054.png ; $\Box_R \text { Mod } ( ? , C )$ ; confidence 0.369

129. a13013099.png ; $z \in \mathbf{C}$ ; confidence 0.369

130. b13023020.png ; $\emptyset$ ; confidence 0.369

131. m13019018.png ; $M _ { n } = [ m _ { i+j }] _ { i , j = 0 } ^ { n }$ ; confidence 0.369

132. o13001045.png ; $\| \mathcal{F} f \| _ { L } 2 (\mathbf{R} ^ { 3 )} = \| f \| _ { L ^ { 2 } ( D ^ { \prime } ) }$ ; confidence 0.369

133. b12030066.png ; $L _ { \text{loc}} ^ { 2 } ( R ^ { N } )$ ; confidence 0.369

134. a13027036.png ; $Y _ { n } = \operatorname { span } \{ \psi _ { 1 } , \dots , \psi _ { n } \}$ ; confidence 0.369

135. r1300909.png ; $\sum _ { i = 1 } ^ { r } g_i ( \mathbf{a} ^ { i }. \mathbf{x} ),$ ; confidence 0.368

136. a13024056.png ; $i = 1 , \ldots , I$ ; confidence 0.368

137. a120050124.png ; $\hat{A} ( t , u )$ ; confidence 0.368

138. b110220100.png ; $H _ { \mathcal{D} } ^ { i } ( X _ { \mathbf{C} } , A ( j ) )$ ; confidence 0.368

139. a12018071.png ; $( S _ { n+m } )$ ; confidence 0.368

140. f120150202.png ; $\|x_n \| < C$ ; confidence 0.368

141. j120020159.png ; $h \in \operatorname{BMO}$ ; confidence 0.368

142. z130110118.png ; $\mathsf{P} \{ M / N \leq x \} \stackrel { \omega } { \rightarrow } F ( x )$ ; confidence 0.368

143. d13006079.png ; $A = B ^ { \uparrow X }$ ; confidence 0.368

144. r13010049.png ; $\alpha : x \rightarrow y$ ; confidence 0.368

145. a01150051.png ; $u _ { j }$ ; confidence 0.368

146. s1202302.png ; $X : = X \Lambda$ ; confidence 0.368

147. s1305005.png ; $\left( \begin{array} { c } { [ n ] } \\ { k } \end{array} \right) : = \{ X \subseteq [ n ] : | X | = k \} , k = 0 , \ldots , n.$ ; confidence 0.367

148. i12008070.png ; $\operatorname { exp } \left\{ \frac { 1 } { k _ { B } T } \sum _ { i = 1 } ^ { N } [ J S _ { i } S _ { i+ 1 } + \frac { H } { 2 } ( S _ { i } + S _ { i+ 1 } ) ] \right\} =$ ; confidence 0.367

149. l120120144.png ; $\sigma _ { 1 } , \ldots , \sigma _ { e }$ ; confidence 0.367

150. a12015076.png ; $\operatorname{det} \; \operatorname { Ad } ( g ) = 1$ ; confidence 0.367

151. b0166004.png ; $\mathbf{u}$ ; confidence 0.367

152. f13001055.png ; $n ^ { \omega }$ ; confidence 0.367

153. t12007081.png ; $\hat { E } _ { 8 }$ ; confidence 0.367

154. i13005086.png ; $\int _ { s } ^ { \infty } ( 1 + | x | ) | R _ { - } ^ { \prime } ( x ) | d x < \infty$ ; confidence 0.367

155. f120150163.png ; $\| T \| < \gamma ( A )$ ; confidence 0.367

156. a120280169.png ; $t \in G$ ; confidence 0.366

157. i13007058.png ; $L _ { \text{loc} } ^ { 2 }$ ; confidence 0.366

158. b12010044.png ; $S ^ { n } ( t )$ ; confidence 0.366

159. b13003045.png ; $V ^ { \sigma ( y ) } / \operatorname { Ker } ( y )$ ; confidence 0.366

160. b12040075.png ; $C ^ { + } \subset \mathfrak { h } _ { R } ^ { * }$ ; confidence 0.366

161. a130040410.png ; $Mod ^ { * \operatorname{L}} \mathcal{D} = Mod ^ { * S} \mathcal{ D }$ ; confidence 0.366

162. c120170104.png ; $( p , q ) _ { M } = \langle M \hat { p } , \hat { q } \rangle$ ; confidence 0.366

163. f12023072.png ; $\delta _ { P } = [ P , . ] ^ { \wedge }$ ; confidence 0.366

164. b12042018.png ; $\otimes ^{\operatorname{op}} : \mathcal{C} \times \mathcal{C} \rightarrow \mathcal{C}$ ; confidence 0.366

165. d1201108.png ; $I \subset \mathbf{N}$ ; confidence 0.366

166. a130040245.png ; $x \approx y \vDash_{\mathsf{K}} K ( E ( x , y ) ) \approx L ( E ( x , y ) ).$ ; unknown symbol

167. h11001026.png ; $A ( x ) = \sum _ { p \leq x } 1 / p . \operatorname { Im } ( f ( p ) p ^ { - i a_{ 0 } } )$ ; confidence 0.366

168. a12016066.png ; $c_1$ ; confidence 0.366

169. a12016020.png ; $L_i$ ; confidence 0.366

170. l13001074.png ; $H _ { N } = \cup \left\{ m \in \mathbf{Z} ^ { n } : 2 ^ { s_j } \leq | m _ { j } | < 2 ^ { s_ j + 1} \right\}$ ; confidence 0.365

171. d1201405.png ; $\leq n / 2$ ; confidence 0.365

172. a12016046.png ; $A ( t _ { 0 } ) = A _ { 0 } , \dot { X } ( t ) = [ N ( X ( t ) , A ( t ) , t ) - X ( t ) ] \operatorname { exp } ( - k P ( t ) ),$ ; confidence 0.365

173. a12018061.png ; $( S _ { n + 2} )$ ; confidence 0.365

174. l12005021.png ; $L _ { 1 } ( \mathbf{R} _ { + } ; e ^ { - x } / \sqrt { x } )$ ; confidence 0.365

175. p1201402.png ; $E$ ; confidence 0.365

176. b13003050.png ; $Q _ { x } V ^ { \mp } = 0$ ; confidence 0.365

177. l12007012.png ; $v _ { i , t }$ ; confidence 0.365

178. a01022067.png ; $\mathbf{C}$ ; confidence 0.365

179. s1305906.png ; $\Lambda _ { p , q }$ ; confidence 0.365

180. b110100173.png ; $\mathcal{A} _ { n }$ ; confidence 0.365

181. j130040136.png ; $P _ { L } ( i , i ) = ( i \sqrt { 2 } ) ^ { \operatorname { dim } ( H _ { 1 } ( M ^ { ( 3 ) } , \mathbf{Z} _ { 2 } ) ) }$ ; confidence 0.365

182. s130510141.png ; $L \oplus k = \{ \text{l} \oplus k : \text{l} \in L \}$ ; confidence 0.365

183. b13002091.png ; $x ^ { * } : = 2 ( 1 | x ) 1 - \sigma ( x ) , \| x \| ^ { 2 } : = ( x | x ) + ( ( x | x ) ^ { 2 } - | ( x | \sigma ( x ) ) | ^ { 2 } ) ^ { 1 / 2 },$ ; confidence 0.365

184. c13005016.png ; $\langle S \rangle = G$ ; confidence 0.365

185. a12027064.png ; $\operatorname { Gal } ( N / E )$ ; confidence 0.365

186. f13009096.png ; $H _ { n + 1 } ^ { ( k ) } ( x ) = \sum \frac { ( n _ { 1 } + \ldots + n _ { k } ) ! } { n _ { 1 } ! \ldots n _ { k } ! } x _ { 1 } ^ { n _ { 1 } } \ldots x _ { k } ^ { n _ { k } },$ ; confidence 0.364

187. b01667055.png ; $i , j , k = 1 , \dots , m$ ; confidence 0.364

188. b12043065.png ; $\Delta y = y \bigotimes 1 + 1 \bigotimes y , \varepsilon y = 0,$ ; confidence 0.364

189. a12027094.png ; $N / K$ ; confidence 0.364

190. l11004058.png ; $F _ { \mathcal{X} }$ ; confidence 0.364

191. l12006021.png ; $\langle \lambda | f )$ ; confidence 0.364

192. b120420100.png ; $q \in k ^ { * }$ ; confidence 0.364

193. w12001026.png ; $L _ { n } = - z ^ { n } D$ ; confidence 0.364

194. f130290144.png ; $\phi ^ { \operatorname{op} }$ ; confidence 0.363

195. k1300408.png ; $\sum c_ { i } x _ { i }$ ; confidence 0.363

196. t12005052.png ; $\mathbf{R} ^ { n } \times \mathbf{R} ^ { p }$ ; confidence 0.363

197. b12050019.png ; $\mathcal{Z} _ { 0 } ^ { o } ( t ) : = \{ s : M _ { s } - W _ { s } = 0 , s \leq t \}$ ; confidence 0.363

198. a1201709.png ; $\mu ( a )$ ; confidence 0.363

199. f120150173.png ; $\Gamma ( A ) = \operatorname { inf } _ { M } \| A |_M \|$ ; confidence 0.363

200. l13006070.png ; $\frac { 1 } { 4 n } \operatorname { max } \{ a _ { i } : 0 \leq i \leq t \} \leq \Delta _ { 2 } \leq \frac { 1 } { 4 n } \left( \sum _ { i = 0 } ^ { t } a _ { i } + 2 \right).$ ; confidence 0.363

201. d13008063.png ; $E ( a , R ) = \left\{ x \in \mathbf{B} : \frac { | 1 - ( x , a ) | ^ { 2 } } { 1 - \| x \| ^ { 2 } } < R \right\}$ ; confidence 0.363

202. o1300407.png ; $\mu _ { \varepsilon } ^ { x } : = \mathcal{P} _ { x } \{ \omega : \rho ( X _ { t } ( \omega ) , \phi ( t ) ) \leq \varepsilon \text { for every }t \in [ 0 , T ] \},$ ; confidence 0.363

203. b1203002.png ; $\psi ( y ) = e ^ { i \eta . y } \phi ( y ) \text { a.e. for } y \in \mathbf{R} ^ { N },$ ; confidence 0.363

204. b01751021.png ; $x \in E _ { 1 }$ ; confidence 0.363

205. c120080115.png ; $= \left\{ \begin{array} { l l } { I _ { n } , } & { p = q = 0, } \\ { 0 , } & { p \neq 0 \text { or } / \text { and } q \neq 0. } \end{array} \right.$ ; confidence 0.363

206. h12002023.png ; $\operatorname { sup } _ { I } \frac { 1 } { | I | } \int _ { I } | f - f _ { I } | d m < \infty,$ ; confidence 0.363

207. b13010063.png ; $L_a^2$ ; confidence 0.363

208. f12016051.png ; $\lambda \notin \sigma _ {\text { lre } } ( T )$ ; confidence 0.362

209. d13008026.png ; $a \in \partial \Delta$ ; confidence 0.362

210. l0600402.png ; $f ( z ) = a _ { 0 } z ^ { n } + \ldots + a _ { n - 1} z + a _ { n } =$ ; confidence 0.362

211. s13013011.png ; $\operatorname{exp} ( G )$ ; confidence 0.362

212. n067520460.png ; $\{ Y : y _ { i } = 0 , \square i = i _ { 1 } , \dots , i _ { l } \}$ ; confidence 0.362

213. s12034076.png ; $\tilde{x} = ( x , u )$ ; confidence 0.362

214. a130040316.png ; $h ( x ) = a , \ldots , h ( w ) = d$ ; confidence 0.362

215. w120110124.png ; $= 2 ^ { 2 n } \int \int e ^ { - 4 i \pi [ X - Y , X - Z ] } { a } ( Y ) b ( Z ) d Y d Z ,$ ; confidence 0.362

216. l12013067.png ; $\bar{x} \in V ( \tilde{\mathbf{Q}} )$ ; confidence 0.362

217. a120050133.png ; $a_j ( .,. )$ ; confidence 0.362

218. s09067035.png ; $j _ { x } ^ { k } ( u )$ ; confidence 0.362

219. f12021087.png ; $L = a ^ { [ 2 ] } ( z ) z ^ { 2 } \left( \frac { d } { d z } \right) ^ { 2 } + a ^ { [ 1 ] } ( z ) z \left( \frac { d } { d z } \right) + a ^ { [ 0 ] } ( z ).$ ; confidence 0.362

220. b12042094.png ; $w $ ; confidence 0.362

221. b12042056.png ; $b _ { i } b _ { i + 1} b _ { i } = b _ { i + 1} b _ { i } b _ { i } + 1 , b _ { i } b _ { j } = b _ { j } b _ { i } , \quad | i - j | \geq 2,$ ; confidence 0.362

222. c13025028.png ; $Z _ { k } ( t )$ ; confidence 0.362

223. b12021062.png ; $\Theta( M ) \subset Z ( \mathfrak { g } ) ^ { * }$ ; confidence 0.361

224. i130030113.png ; $c : T ^ { * } M \cong T M \rightarrow \operatorname { End } ( W )$ ; confidence 0.361

225. n1300401.png ; $\mathcal{C} _ { n } = \left( \begin{array} { c } { 2 n } \\ { n } \end{array} \right) - \left( \begin{array} { c } { 2 n } \\ { n - 1 } \end{array} \right)$ ; confidence 0.361

226. t130140108.png ; $\sum _ { i , j \in Q _ { 0 } } e _ { j } I { e }_i$ ; confidence 0.361

227. j130040142.png ; $P _ { L } ( e ^ { \pi i / 3 } , i ) = \varepsilon ( L ) i ^ { \operatorname { com } ( L ) - 1 } ( i \sqrt { 3 } ) ^ { \operatorname { dim } ( H _ { 1 } ( M ^ { ( 2 ) } , \mathbf{Z} _ { 3 } ) ) }$ ; confidence 0.361

228. r08006041.png ; $\operatorname{III} _ { 1 }$ ; confidence 0.361

229. d032130166.png ; $d ^ { \prime \prime }$ ; confidence 0.361

230. v120020103.png ; $y _ { 0 } \in \operatorname{Fix} G$ ; confidence 0.361

231. s12023060.png ; $K ^ { \prime } K = I _ { m }$ ; confidence 0.361

232. b12005049.png ; $\mathcal{H} _ { b } ( E )$ ; confidence 0.361

233. w120090359.png ; $\Lambda( V ) = \Lambda$ ; confidence 0.361

234. f13024044.png ; $L_{ - 2}$ ; confidence 0.360

235. s08526050.png ; $\overline { D^- } $ ; confidence 0.360

236. d11022020.png ; $\sum ^ { n _ { k = 1 } } c _ { k } ( b - a ) ^ { k } \| p _ { k } \| < 1,$ ; confidence 0.360

237. d12014084.png ; $\mathbf{Z} _ { n }$ ; confidence 0.360

238. h11001010.png ; $\sum _ { n \leq x } f ( n ) = c . x ^ { 1 + i a } . L ( \operatorname { log } x ) + o ( x ).$ ; confidence 0.360

239. a13008030.png ; $f ( x ) / \operatorname { g } ( x ; m , s )$ ; confidence 0.360

240. d03055027.png ; $x \in R$ ; confidence 0.360

241. a014060101.png ; $\beta _ { i }$ ; confidence 0.359

242. l13010057.png ; $R ^ { * } g : = \int _ { S ^ { n - 1 }} g ( \alpha , \alpha . x ) d \alpha $ ; confidence 0.359

243. m13001025.png ; $\hat { f } \in \mathcal{H}$ ; confidence 0.359

244. w12008021.png ; $S ^ { \prime } ( \mathbf{R} ^ { 2 n } )$ ; confidence 0.359

245. s12017022.png ; $D = \{ 1,0 , - 1 \} ^ { n }$ ; confidence 0.359

246. h120020113.png ; $\rho _ { n } ( \phi ) = \operatorname { inf } \{ \| \phi - r \| _ { \operatorname{BMO} } : \rho \in \mathcal{R} _ { n } \},$ ; confidence 0.359

247. f13005028.png ; $\sum _ { l = 1 } ^ { m } w _ { i } . \frac { p _ { i } - x _ { 0 } } { \| p _ { i } - x _ { 0 } \| } = 0.$ ; confidence 0.359

248. p13013063.png ; $\zeta _ { \lambda } ^ { \lambda } = i ^ { ( n - r ( \lambda ) + 1 ) / 2 } \sqrt { ( \lambda _ { 1 } \ldots \lambda _ { r ( \lambda ) } ) / 2 }$ ; confidence 0.359

249. t12005086.png ; $\dots \Sigma ^ { i _ { 1 } , \ldots , i _ { r } } ( f ) = \Sigma ^ { i _ { r } } ( f | _ { \Sigma ^ { i _ { 1 } } , \ldots , i _ { r - 1 } ( f ) } ).$ ; confidence 0.359

250. d1301107.png ; $= ( \alpha _ { x } \mathbf{p} _ { x } + \alpha _ { y } \mathbf{p}_ y + \alpha _ { z } \mathbf{p} _ { z } + \beta m _ { 0 } c ) ^ { 2 }.$ ; confidence 0.359

251. k13006019.png ; $a _ { k - 1} + 1$ ; confidence 0.359

252. e12007086.png ; $\{ p _ M\}$ ; confidence 0.359

253. c0219009.png ; $T _ { n } ( x )$ ; confidence 0.359

254. i12008071.png ; $= \sum _ { S _ { 1 } = \pm 1 } \cdots \sum _ { S _ { N } = \pm 1 } \prod _ { i = 1 } ^ { N }$ ; confidence 0.359

255. i130090211.png ; $k _ { \infty } ^ { \prime }$ ; confidence 0.359

256. s13050019.png ; $\nabla ( \mathcal{A} ) : = \left\{ Y \in \left( \begin{array} { l } { [ n ] } \\ { l + 1 } \end{array} \right) : Y \supset X \text { for some } X\in \mathcal{A} \right\}.$ ; confidence 0.359

257. i12004012.png ; $A = \{ | h _ { 1 } ( z ) | < 1 , \dots , | h _ { \text{l} } ( z ) | < 1 \}$ ; confidence 0.358

258. i1300408.png ; $ \operatorname{bv} = \left\{ d = \{ d _ { k } \} : \| d \| _ { \operatorname{bv} } = \sum _ { k = 0 } ^ { \infty } | \Delta d _ { k } | < \infty \right\}$ ; confidence 0.358

259. d12003052.png ; $x _ { n } \searrow x _ { 0 }$ ; confidence 0.358

260. b110220111.png ; $\mathcal{L} ( i , m ) = \operatorname { det } _ { \operatorname{Q} } H _ { B } ^ { i } ( X_{ / \mathbf{R}} , \mathbf{R} ( i - m ) ).$ ; confidence 0.358

261. e12024088.png ; $\Lambda_L \in H ^ { 1 } ( \mathbf{Z} [ 1 / p L ] ; \mathbf{Z} / M ( n ) )$ ; confidence 0.358

262. s12027032.png ; $A _ { s } ^ { + } = \left\{ \begin{array} { l l } { f : } & { f \in A _ { s } } \\ & { f ^ { ( s ) } \text { has no change of } \operatorname { sign } \operatorname { in } ( a , b ) } \end{array} \right\}.$ ; confidence 0.358

263. w12002021.png ; $ \operatorname{l} _ { 1 } ( P , Q ) = \operatorname{ sup } \left\{ \int f d ( P - Q ) : \operatorname { Lip } f \leq 1 \right\}.$ ; confidence 0.358

264. v120020133.png ; $\Lambda ( F ) = \sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } \operatorname { tr } ( r _n* \circ t_n * ^ { - 1 } );$ ; confidence 0.358

265. b12002015.png ; $\| \alpha _ { n } + \beta _ { n } \|$ ; confidence 0.358

266. c13008016.png ; $A _ { K } / \mathfrak{p}$ ; confidence 0.358

267. a011840142.png ; $q_k$ ; confidence 0.358

268. s12023051.png ; $.\left| I _ { p } + \Sigma ^ { - 1 } X X ^ { \prime } \right| ^ { - ( \delta + n + p - 1 ) / 2 } , X \in \mathbf{R} ^ { p \times n },$ ; confidence 0.357

269. b12031078.png ; $x \in \mathcal{T} ^ { n }$ ; confidence 0.357

270. c13021021.png ; $L _ { + }$ ; confidence 0.357

271. w13007010.png ; $\operatorname { ch } V = \sum _ { \mu \in \mathfrak{h} ^ { * } } ( \operatorname { dim } V _ { \mu } ) e ^ { \mu }.$ ; confidence 0.357

272. o13005087.png ; $v _ { n } \in \mathfrak{G}$ ; confidence 0.357

273. w120110269.png ; $g _ { 1 } = | d x | ^ { 2 } + \frac { | d \xi | ^ { 2 } } { | \xi | ^ { 2 } } \leq g_2 = \frac { | d x | ^ { 2 } } { | x | ^ { 2 } } + \frac { | d \xi | ^ { 2 } } { | \xi | ^ { 2 } },$ ; confidence 0.357

274. c130160156.png ; $ \operatorname{NC} = \text { ASPACETIME } [ \operatorname { log } n , ( \operatorname { log } n ) ^ { O ( 1 ) } ].$ ; confidence 0.357

275. w13012022.png ; $T _ { \operatorname{W} d } = T _ { \operatorname{H}d }$ ; confidence 0.357

276. a0132908.png ; $\neg$ ; confidence 0.357

277. b130290219.png ; $G ( I ) = \oplus _ { n \geq 0} I ^ { n } / I ^ { n + 1 }$ ; confidence 0.357

278. e120070109.png ; $\widetilde { H } ^ { 1 }$ ; confidence 0.357

279. d120020115.png ; $x ^ { ( l ) }$ ; confidence 0.356

280. l06004025.png ; $\operatorname { lim } _ { k \rightarrow \infty } \bar{g} _ { k , p } = \frac { f ^ { * } ( z ) } { ( z - r _ { 1 } ) \ldots ( z - r _ { p } ) },$ ; confidence 0.356

281. n12011041.png ; $\underline { x } = ( x _ { 1 } , \dots , x _ { n } )$ ; confidence 0.356

282. w12002017.png ; $\text{l} _ { p } ( P , Q ) = \operatorname { inf } \{ \| d ( X , Y ) \| _ { p } \}$ ; confidence 0.356

283. c120170126.png ; $V ( z _ { 0 } , \dots , z _ { r - 1} ) ( \rho _ { 0 } , \dots , \rho _ { r - 1 } ) ^ { T } = ( \gamma _ { 00 } , \dots , \gamma _ { 0 , r - 1 } ) ^ { T }$ ; confidence 0.356

284. f12011037.png ; $\Delta \subset \mathbf{R} ^ { n }$ ; confidence 0.356

285. b120210148.png ; $\mathfrak { p } \supset \mathfrak{b}$ ; confidence 0.356

286. b12003033.png ; $m b$ ; confidence 0.356

287. a130040365.png ; $\widetilde { \Omega } _ { \mathcal{D} } F = \bigcap \{ \Omega G : F \subseteq G \in \operatorname{Fi} _ { \mathcal{D} } \mathbf{A} \}.$ ; confidence 0.356

288. g13003097.png ; $ \operatorname{vp} ( . )$ ; confidence 0.356

289. b13020014.png ; $[ e _ { i } f _ { j } ] = \delta _ { i j } h _ { i }$ ; confidence 0.355

290. b110220176.png ; $\operatorname{ord}_ { s = m } L ( h ^ { i } ( X ) , s ) =$ ; confidence 0.355

291. t12001085.png ; $\mathbf{Q}$ ; confidence 0.355

292. i13009035.png ; $r _ { 1 } ( k )$ ; confidence 0.355

293. z13001062.png ; $z/ z - a$ ; confidence 0.355

294. a12020053.png ; $N = r _1 + \ldots + r _ { n }$ ; confidence 0.355

295. i1300405.png ; $\widehat{L^1}$ ; confidence 0.355

296. d11023013.png ; $\bar{L}$ ; confidence 0.354

297. t13014026.png ; $\mathbf{X} = ( X _ { i } , \phi _ { \beta } ) _ { j \in Q _ { 0 } , \beta \in Q _ { 1 }}$ ; confidence 0.354

298. s120230156.png ; $\operatorname{rank} ( A _ { i } ) = n_i$ ; confidence 0.354

299. l05700062.png ; $F A _ { 1 } \ldots A _ { n }$ ; confidence 0.354

300. q12008039.png ; $= \frac { 1 } { 2 ( 1 - \sigma _ { p - 1 } ) ( 1 - \sigma _ { p } ) } \left[ \sum _ { k = 1 } ^ { q - 1 } \lambda _ { k } b _ { k } ^ { ( 2 ) } + ( 1 - \sigma _ { p - 1 } ) \frac { b _ { q } ^ { ( 2 ) } } { b _ { q } } \right] , 1 \leq p \leq q - 1,$ ; confidence 0.354

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/NoNroff/65. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/NoNroff/65&oldid=44475