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(AUTOMATIC EDIT of page 69 out of 77 with 300 lines: Updated image/latex database (currently 22833 images latexified; order by Length, ascending: False.)
 
(AUTOMATIC EDIT of page 69 out of 77 with 300 lines: Updated image/latex database (currently 22833 images latexified; order by Confidence, ascending: False.)
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== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012460/a012460159.png ; $x ^ { 0 }$ ; confidence 0.992
+
1. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130070/p13007048.png ; $u ( z _ { 1 } , z _ { 2 } ) = \left\{ \begin{array} { c l } { 0 } & { \text { if } | z _ { 1 } | ^ { 2 } , | z _ { 2 } | ^ { 2 } < \frac { 1 } { 2 } } \\ { \operatorname { max } \{ ( | z _ { 1 } | ^ { 2 } - \frac { 1 } { 2 } ) ^ { 2 } , } & { ( | z _ { 2 } | ^ { 2 } - \frac { 1 } { 2 } ) ^ { 2 } \} } \\ { \text { elsewhere on } D } \end{array} \right.$ ; confidence 0.287
  
2. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110880/b11088058.png ; $x ^ { k }$ ; confidence 0.422
+
2. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030550/d03055021.png ; $I$ ; confidence 0.287
  
3. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025600/c0256006.png ; $u ^ { k }$ ; confidence 0.600
+
3. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022890/c02289095.png ; $B _ { m }$ ; confidence 0.287
  
4. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130040/q13004038.png ; $K > 1$ ; confidence 0.997
+
4. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180377.png ; $\mathfrak { g } | _ { M } = g$ ; confidence 0.287
  
5. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130040/q13004022.png ; $Ko ( f )$ ; confidence 0.565
+
5. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130230/a13023034.png ; $\| f _ { 1 } - P _ { U \cap V ^ { J } } f \| \leq c ^ { 2 l - 1 } \| f \|$ ; confidence 0.287
  
6. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130050/q13005026.png ; $h \in M$ ; confidence 0.458
+
6. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120260/a120260120.png ; $A ( X _ { 1 } , \dots , X _ { N } )$ ; confidence 0.287
  
7. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130050/q1300509.png ; $QS ( R )$ ; confidence 0.577
+
7. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130020/j13002045.png ; $P ( X = 0 ) \leq e ^ { - \Omega ( 1 / ( n p ^ { 2 } ) ) }$ ; confidence 0.287
  
8. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130050/q13005065.png ; $QS ( T )$ ; confidence 0.522
+
8. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a130180116.png ; $\operatorname { co } ( R ) = U \times \operatorname { Rng } ( R )$ ; confidence 0.287
  
9. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026230/c0262305.png ; $0 < r < 1$ ; confidence 1.000
+
9. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h120120166.png ; $F \Psi ^ { q }$ ; confidence 0.287
  
10. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130050/q130050111.png ; $a , b , x$ ; confidence 0.922
+
10. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b1303007.png ; $F _ { m } ^ { N }$ ; confidence 0.286
  
11. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130040/r13004056.png ; $J _ { m }$ ; confidence 0.330
+
11. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s12023094.png ; $X _ { i } = B U \Rightarrow A _ { i } = B$ ; confidence 0.286
  
12. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022700/c02270028.png ; $( f , g )$ ; confidence 1.000
+
12. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130060/b13006027.png ; $v _ { 1 } , \dots , v _ { N }$ ; confidence 0.286
  
13. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r13007081.png ; $\| f \|$ ; confidence 0.996
+
13. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120140/e12014015.png ; $\langle A , \tilde { f } \} _ { f \in \Phi }$ ; confidence 0.286
  
14. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r13007020.png ; $K ( , y )$ ; confidence 0.598
+
14. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w12009097.png ; $G$ ; confidence 0.286
  
15. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r13008061.png ; $p \in E$ ; confidence 0.549
+
15. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130630/s13063022.png ; $m _ { 1 } , \dots , m _ { r }$ ; confidence 0.286
  
16. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130090/r13009018.png ; $W ^ { i }$ ; confidence 0.180
+
16. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130220/a13022063.png ; $\square _ { R } \text { Mod } ( ? , C ) \rightarrow S _ { C } \rightarrow 0$ ; confidence 0.286
  
17. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014190/a01419022.png ; $c \in R$ ; confidence 0.586
+
17. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130490/s13049063.png ; $| N _ { k } | ^ { 2 } \geq | N _ { k } - 1 | | N _ { k } + 1$ ; confidence 0.285
  
18. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130090/r13009010.png ; $a ^ { i }$ ; confidence 0.315
+
18. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b1302908.png ; $l _ { A } ( M / qM ) - e _ { q } ^ { 0 } ( M )$ ; confidence 0.285
  
19. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130100/r13010052.png ; $( i , y )$ ; confidence 0.972
+
19. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120240/f12024062.png ; $f ( t , \psi ) \in R ^ { x }$ ; confidence 0.285
  
20. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130100/r13010090.png ; $A _ { Y }$ ; confidence 0.276
+
20. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120320/b12032062.png ; $\leq s 1$ ; confidence 0.285
  
21. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130100/r13010037.png ; $E _ { y }$ ; confidence 0.633
+
21. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130580/s13058031.png ; $\varepsilon _ { l } - \varepsilon _ { l }$ ; confidence 0.285
  
22. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130100/r13010073.png ; $E _ { 7 }$ ; confidence 0.917
+
22. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017098.png ; $A x = a x - x c$ ; confidence 0.285
  
23. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130100/r13010056.png ; $( i , x )$ ; confidence 0.817
+
23. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120070/t12007062.png ; $Q _ { m , j }$ ; confidence 0.285
  
24. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130100/r13010093.png ; $E _ { 6 }$ ; confidence 0.803
+
24. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018094.png ; $Alg _ { 1 } ( L )$ ; confidence 0.285
  
25. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130120/r1301208.png ; $( E , C )$ ; confidence 0.976
+
25. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011044.png ; $\alpha ^ { w } = \int _ { R ^ { 2 n } } \alpha ( X ) 2 ^ { n } \sigma _ { X } d X =$ ; confidence 0.285
  
26. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082320/r08232021.png ; $h ^ { * }$ ; confidence 0.416
+
26. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040386.png ; $F \subseteq Fi _ { D } A$ ; confidence 0.285
  
27. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082320/r08232069.png ; $c \in E$ ; confidence 0.617
+
27. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006059.png ; $A = B ^ { \uparrow X _ { 1 } , \ldots , X _ { n } }$ ; confidence 0.284
  
28. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016920/b01692031.png ; $| x - y |$ ; confidence 0.988
+
28. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120200/l12020012.png ; $z / 2$ ; confidence 0.284
  
29. https://www.encyclopediaofmath.org/legacyimages/r/r120/r120020/r1200203.png ; $L = K - P$ ; confidence 0.997
+
29. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004048.png ; $d _ { 2 }$ ; confidence 0.284
  
30. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130160/r1301606.png ; $I _ { S }$ ; confidence 0.442
+
30. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130090/t13009017.png ; $\alpha \in T _ { X } \cap T _ { Y }$ ; confidence 0.284
  
31. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130160/r13016039.png ; $C ^ { N }$ ; confidence 0.104
+
31. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120050/w12005058.png ; $h ^ { \alpha } = h _ { 1 } ^ { \alpha _ { 1 } } \ldots h _ { m } ^ { \alpha _ { m } }$ ; confidence 0.284
  
32. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017800/b01780053.png ; $n = p$ ; confidence 0.858
+
32. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013031.png ; $( \partial / \partial t _ { x } ) - Q _ { 0 } z ^ { x }$ ; confidence 0.284
  
33. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130010/s13001031.png ; $M _ { Q }$ ; confidence 0.469
+
33. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120150/p12015022.png ; $C$ ; confidence 0.284
  
34. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130010/s13001052.png ; $M _ { K }$ ; confidence 0.982
+
34. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j120020204.png ; $\int _ { I } | \varphi - \varphi _ { I } | ^ { 2 } \frac { d \vartheta } { 2 \pi } \leq c _ { 1 } ^ { 2 } | I |$ ; confidence 0.284
  
35. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130020/s1300206.png ; $[ 1,1 )$ ; confidence 0.119
+
35. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120110/k12011014.png ; $\theta$ ; confidence 0.284
  
36. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064420/m06442032.png ; $Z \in H$ ; confidence 0.659
+
36. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120080/q12008084.png ; $E [ f ( x ) ] _ { P S }$ ; confidence 0.284
  
37. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015560/b01556042.png ; $D ^ { * }$ ; confidence 0.747
+
37. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008056.png ; $\alpha ( t , u , v ) = \langle A ( t ) u , v \rangle _ { \langle H ^ { 1 } \rangle } ^ { \prime } \times H ^ { 1 }$ ; confidence 0.284
  
38. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082060/r082060124.png ; $H _ { g }$ ; confidence 0.513
+
38. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180419.png ; $\mathfrak { g } | _ { N } = g$ ; confidence 0.284
  
39. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064510/m064510131.png ; $A _ { 8 }$ ; confidence 0.901
+
39. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120300/c120300125.png ; $O _ { y }$ ; confidence 0.284
  
40. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004041.png ; $X ^ { * }$ ; confidence 0.346
+
40. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120040/l12004057.png ; $u _ { t } + 1 / 2 ( x , ( 1 / 2 ) \Delta t )$ ; confidence 0.283
  
41. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110430/c11043070.png ; $S _ { y }$ ; confidence 0.371
+
41. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130280/f13028017.png ; $7$ ; confidence 0.283
  
42. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025460/c02546036.png ; $( r , s )$ ; confidence 0.965
+
42. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130220/a13022029.png ; $\tilde { y } f = j$ ; confidence 0.283
  
43. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130140/s13014018.png ; $p _ { f }$ ; confidence 0.179
+
43. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120040/l12004040.png ; $c = \alpha \frac { \Delta t } { \Delta x }$ ; confidence 0.283
  
44. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110610/b11061049.png ; $R ^ { x }$ ; confidence 0.648
+
44. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w12007029.png ; $\xi _ { \alpha }$ ; confidence 0.283
  
45. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011800/a01180083.png ; $( i + 1 )$ ; confidence 1.000
+
45. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130160/c13016087.png ; $NSPACE [ s ( n ) ] = \text { co } NSPACE [ s ( n ) ]$ ; confidence 0.283
  
46. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120050/s12005096.png ; $50 ( S )$ ; confidence 0.275
+
46. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040745.png ; $\Sigma ( P , R ) \subseteq Fm P L$ ; confidence 0.283
  
47. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a010810104.png ; $U ^ { * }$ ; confidence 0.859
+
47. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004059.png ; $F m$ ; confidence 0.283
  
48. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120050/s12005044.png ; $T U = U T$ ; confidence 0.999
+
48. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130080/i1300804.png ; $L _ { 1 } ^ { \prime }$ ; confidence 0.283
  
49. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120050/s12005055.png ; $A X = X A$ ; confidence 0.980
+
49. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130030/o13003045.png ; $X = \sum _ { j = 1 } ^ { S } X _ { j } e$ ; confidence 0.283
  
50. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130130/s13013024.png ; $U _ { 1 }$ ; confidence 0.348
+
50. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840177.png ; $E ^ { \prime \prime }$ ; confidence 0.283
  
51. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027180/c02718026.png ; $C _ { i }$ ; confidence 0.205
+
51. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032090.png ; $\langle t ^ { * } ( n ^ { * } ) , m \} = ( - 1 ) ^ { p ( t ) p ( n ^ { * } ) } | n ^ { * } , t ( m ) \}$ ; confidence 0.283
  
52. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033020/d03302027.png ; $J _ { 1 }$ ; confidence 0.670
+
52. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130010/z13001038.png ; $x ( n ) = \sum ( \text { residues of } z ^ { n - 1 } _ { \Re ( z ) } )$ ; confidence 0.283
  
53. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120150/s12015086.png ; $H _ { R }$ ; confidence 0.745
+
53. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016970/b01697020.png ; $i = 1 , \dots , s$ ; confidence 0.282
  
54. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120150/s12015092.png ; $V _ { R }$ ; confidence 0.557
+
54. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120010/l12001050.png ; $\left\{ \begin{array} { c } { m } \\ { \lceil \frac { m + 1 } { 2 } \rceil } \end{array} \right\}$ ; confidence 0.282
  
55. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130400/s13040029.png ; $X ^ { P }$ ; confidence 0.915
+
55. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120280/c12028019.png ; $\pi X ^ { * }$ ; confidence 0.282
  
56. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130400/s13040044.png ; $G = Z / p$ ; confidence 0.889
+
56. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032052.png ; $U ( L ) = T ( L ) / \{ x \otimes y - ( - 1 ) ^ { p ( x ) p ( y ) } y \otimes x - [ x , y ] \}$ ; confidence 0.282
  
57. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120160/s12016012.png ; $U ^ { i }$ ; confidence 0.456
+
57. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c120170107.png ; $C [ z , z ] / N$ ; confidence 0.282
  
58. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130410/s13041015.png ; $( N = 0 )$ ; confidence 0.982
+
58. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t13013084.png ; $Ext ^ { 2 } ( . . )$ ; confidence 0.282
  
59. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650234.png ; $d \in D$ ; confidence 0.590
+
59. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110010/l11001071.png ; $P ^ { + } . P _ { \subseteq } P$ ; confidence 0.282
  
60. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043280/g04328066.png ; $\succ$ ; confidence 0.492
+
60. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120130/m12013061.png ; $\delta ( 2 ) > K _ { ( 2 ) } / K _ { ( 1 ) }$ ; confidence 0.282
  
61. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120170/s12017076.png ; $| A | > k$ ; confidence 0.857
+
61. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a01138088.png ; $u$ ; confidence 0.282
  
62. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120170/s12017010.png ; $A \in X$ ; confidence 0.999
+
62. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040723.png ; $P ^ { \prime }$ ; confidence 0.282
  
63. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120170/s12017080.png ; $( A , d )$ ; confidence 0.998
+
63. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120280/a12028076.png ; $L _ { w } ( X , Y ) *$ ; confidence 0.282
  
64. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065010/m06501061.png ; $E _ { i }$ ; confidence 0.176
+
64. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m13025097.png ; $T _ { V }$ ; confidence 0.282
  
65. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130450/s13045018.png ; $r _ { D }$ ; confidence 0.060
+
65. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120010/c120010172.png ; $a \in C ^ { n } \backslash \{ 0 \}$ ; confidence 0.282
  
66. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130450/s13045065.png ; $\rho s$ ; confidence 0.598
+
66. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130120/z13012044.png ; $W ^ { \prime \prime } H ^ { \omega } [ 0,1 ]$ ; confidence 0.282
  
67. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130450/s13045076.png ; $\phi s$ ; confidence 0.387
+
67. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200160.png ; $\kappa \leq | \operatorname { arc } z _ { j } | \leq \pi$ ; confidence 0.282
  
68. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021050/c02105032.png ; $F _ { X }$ ; confidence 0.769
+
68. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040450.png ; $D ( K ) = \langle F m , \vDash _ { K } \rangle$ ; confidence 0.282
  
69. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130450/s13045077.png ; $f _ { S }$ ; confidence 0.955
+
69. https://www.encyclopediaofmath.org/legacyimages/p/p130/p130130/p13013075.png ; $\operatorname { dim } T _ { \lambda } = 2 ^ { [ ( n - r ( \lambda ) ) / 2 ] } \frac { n ! } { \prod _ { ( i , j ) } b _ { i j } }$ ; confidence 0.281
  
70. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120200/s12020034.png ; $\{ t \}$ ; confidence 0.995
+
70. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120110/p12011035.png ; $\vec { C }$ ; confidence 0.281
  
71. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120220/s12022044.png ; $( M , g )$ ; confidence 0.467
+
71. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120150/p12015015.png ; $P f ( g ) = ( \int _ { g K } f d \mu ) _ { K \in K } , g \in G$ ; confidence 0.281
  
72. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120210/s1202107.png ; $V _ { Z }$ ; confidence 0.909
+
72. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a13018014.png ; $C$ ; confidence 0.281
  
73. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120210/s12021011.png ; $V _ { Y }$ ; confidence 0.820
+
73. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120150/p12015060.png ; $E$ ; confidence 0.281
  
74. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030020/d03002092.png ; $D _ { Y }$ ; confidence 0.617
+
74. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062220/m06222021.png ; $F = 0 , d F = 0 , \dots , d ^ { m } F = 0$ ; confidence 0.281
  
75. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120210/s1202103.png ; $D _ { Z }$ ; confidence 0.722
+
75. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120030/n12003028.png ; $L A$ ; confidence 0.281
  
76. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110250/b11025036.png ; $g _ { y }$ ; confidence 0.130
+
76. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240196.png ; $\sqrt { 3 }$ ; confidence 0.281
  
77. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130480/s13048029.png ; $S _ { D }$ ; confidence 0.382
+
77. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120050/g12005010.png ; $\psi = \psi _ { 0 } + f ( y ) e ^ { i \langle \langle k , x \rangle + \mu t }$ ; confidence 0.281
  
78. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130500/s13050031.png ; $X \in F$ ; confidence 0.705
+
78. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130070/i13007024.png ; $q \in Q _ { m } : = \left\{ \begin{array} { c } { q = \overline { q } } \\ { q : | q ( x ) | + | \nabla ^ { m } q | \leq c ( 1 + | x | ) ^ { - b } } \\ { b > 3 } \end{array} \right.$ ; confidence 0.281
  
79. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s12023095.png ; $X : = A U$ ; confidence 0.965
+
79. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130110/v13011018.png ; $\Gamma = \Delta \vec { U } .$ ; confidence 0.281
  
80. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s12023079.png ; $X : = A U$ ; confidence 0.984
+
80. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120210/m12021028.png ; $t \in E ^ { x }$ ; confidence 0.281
  
81. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s13051065.png ; $u \in V$ ; confidence 0.974
+
81. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022850/c022850102.png ; $4 \sqrt { 3 }$ ; confidence 0.281
  
82. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s13051013.png ; $g ( u ) =$ ; confidence 1.000
+
82. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050185.png ; $\zeta _ { A } ( z ) = \prod _ { r \geq 1 } \quad ( 1 - p ^ { - r z } ) ^ { - 1 } = \prod _ { r = 1 } ^ { \infty } \zeta ( r z )$ ; confidence 0.281
  
83. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036230/e036230142.png ; $GF ( 2 )$ ; confidence 0.768
+
83. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031670/d03167011.png ; $\sigma | _ { A }$ ; confidence 0.281
  
84. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s1305104.png ; $z ^ { 0 }$ ; confidence 0.801
+
84. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130300/a13030065.png ; $\{ \alpha \in A : \alpha . \Im ( T ) = \Im ( T ) , \alpha = \{ 0 \} \}$ ; confidence 0.281
  
85. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s13051050.png ; $n \in O$ ; confidence 0.880
+
85. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m130250104.png ; $u v - ( T _ { d } v + T _ { v } u ) \in H ^ { r } ( R ^ { n } )$ ; confidence 0.281
  
86. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120240/s1202401.png ; $h ^ { 5 }$ ; confidence 0.205
+
86. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130080/o13008015.png ; $\{ 1,1,2 \}$ ; confidence 0.280
  
87. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120240/s12024044.png ; $X \in K$ ; confidence 0.809
+
87. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r13008070.png ; $\{ h ( t , p _ { j } ) \} _ { 1 } \leq j \leq x$ ; confidence 0.280
  
88. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130530/s13053094.png ; $S _ { F }$ ; confidence 0.333
+
88. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130090/b1300901.png ; $u _ { t } + u _ { \lambda } + u u _ { X } - u _ { X x t } = 0$ ; confidence 0.280
  
89. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130530/s13053070.png ; $2 ^ { r }$ ; confidence 0.795
+
89. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130050/h13005018.png ; $\{ \lambda _ { n } = - \kappa _ { n } ^ { 2 } \} _ { n = 1 } ^ { N }$ ; confidence 0.280
  
90. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130530/s13053080.png ; $r _ { f }$ ; confidence 0.238
+
90. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j120020113.png ; $P [ \operatorname { sup } _ { t \geq T } | X _ { t } - X _ { T } | > \lambda ] \leq C _ { e } ^ { - \lambda / e } P [ T < \infty ]$ ; confidence 0.280
  
91. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130530/s13053052.png ; $F _ { q }$ ; confidence 0.958
+
91. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120050/w12005037.png ; $A = R [ x _ { 1 } , \dots , x _ { N } ] / A$ ; confidence 0.280
  
92. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130530/s13053097.png ; $S _ { 0 }$ ; confidence 0.314
+
92. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110840/b11084037.png ; $z ^ { x }$ ; confidence 0.280
  
93. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023110/c02311096.png ; $C ^ { * }$ ; confidence 0.767
+
93. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l12017064.png ; $Q = \langle a _ { 1 } , \dots , a _ { g } | S _ { 1 } , \dots , S _ { n } \rangle$ ; confidence 0.280
  
94. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015350/b015350258.png ; $A _ { t }$ ; confidence 0.687
+
94. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040086.png ; $p \in \mathfrak { h } ^ { * }$ ; confidence 0.280
  
95. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130580/s13058028.png ; $Q = U = 0$ ; confidence 0.998
+
95. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130010/j1300101.png ; $Q _ { D } ( v , z ) = z ^ { \operatorname { com } ( D ) - 1 } v ^ { - \operatorname { Tait } ( D ) } ( v ^ { - 1 } - v ) P _ { D } ( v , z )$ ; confidence 0.280
  
96. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120270/s12027026.png ; $Q ^ { B }$ ; confidence 0.633
+
96. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048070/h0480703.png ; $p ( x ) = \frac { \Gamma ( ( n + 1 ) / 2 ) x ^ { k / 2 - 1 } ( 1 + x / n ) - ( n + 1 ) / 2 } { \Gamma ( ( n - k + 1 ) / 2 ) \Gamma ( k / 2 ) n ^ { k / 2 } }$ ; confidence 0.280
  
97. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090670/s0906701.png ; $( C , U )$ ; confidence 0.874
+
97. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022110/c02211020.png ; $x \in R ^ { 1 }$ ; confidence 0.280
  
98. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055054.png ; $x ^ { G }$ ; confidence 0.478
+
98. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r13008045.png ; $| f ( z _ { 0 } ) | ^ { 2 } \leq \frac { 1 } { \pi r ^ { 2 } } \int _ { D _ { z _ { 0 } , r } } | f ( \zeta ) | ^ { 2 } d x d y \leq \frac { 1 } { \pi r ^ { 2 } } ( f , f ) _ { L } 2 _ { ( D ) }$ ; confidence 0.280
  
99. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120300/s12030015.png ; $E _ { G }$ ; confidence 0.894
+
99. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c120080105.png ; $x _ { i j } \in R ^ { x }$ ; confidence 0.279
  
100. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055066.png ; $B _ { G }$ ; confidence 0.815
+
100. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b120430115.png ; $\Delta \left( \begin{array} { c c } { \alpha } & { \beta } \\ { \gamma } & { \delta } \end{array} \right) = \left( \begin{array} { c c } { \alpha } & { \beta } \\ { \gamma } & { \delta } \end{array} \right) \otimes \left( \begin{array} { c c } { \alpha } & { \beta } \\ { \gamma } & { \delta } \end{array} \right)$ ; confidence 0.279
  
101. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s120320137.png ; $= \sum$ ; confidence 0.933
+
101. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130120/b13012097.png ; $\omega ( g , )$ ; confidence 0.279
  
102. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032055.png ; $F _ { k }$ ; confidence 0.494
+
102. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230116.png ; $\omega ^ { i k }$ ; confidence 0.279
  
103. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091190/s0911906.png ; $V _ { I }$ ; confidence 0.932
+
103. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023530/c023530161.png ; $X$ ; confidence 0.279
  
104. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091180/s0911804.png ; $O _ { N }$ ; confidence 0.470
+
104. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120210/e12021046.png ; $p _ { m } + 1 ( x ) = ( m x + 1 ) p _ { m } ( x ) - x ( x - 1 ) p _ { m } ^ { \prime } ( x ) , \quad m \geq 1$ ; confidence 0.279
  
105. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s120320101.png ; $M ^ { N }$ ; confidence 0.221
+
105. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m13014089.png ; $D _ { j , k } ( \alpha ) = \{ z : b _ { j } ^ { 1 } | z _ { 1 } - \alpha _ { 1 } | ^ { 2 } + \ldots + b _ { j } ^ { n } | z _ { \lambda } - a _ { \lambda } | ^ { 2 } < r _ { j , k } ^ { 2 } \}$ ; confidence 0.279
  
106. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s12034089.png ; $S _ { H }$ ; confidence 0.922
+
106. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022030/c022030101.png ; $\gamma _ { i }$ ; confidence 0.279
  
107. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120340/s120340112.png ; $s \in T$ ; confidence 0.415
+
107. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130020/e1300205.png ; $( u ; ) j \in N$ ; confidence 0.279
  
108. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120350/s12035024.png ; $Z ^ { N }$ ; confidence 0.839
+
108. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023130/c02313032.png ; $d x$ ; confidence 0.279
  
109. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120350/s12035017.png ; $D _ { M }$ ; confidence 0.998
+
109. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130650/s13065020.png ; $\Phi _ { y } ^ { x }$ ; confidence 0.279
  
110. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130630/s1306301.png ; $( A , m )$ ; confidence 0.986
+
110. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120010/q12001072.png ; $c ^ { 0 } \neq 0$ ; confidence 0.279
  
111. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s13064031.png ; $( a - z )$ ; confidence 0.517
+
111. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l05700089.png ; $\equiv \lambda \text { pqf } x \cdot p f ( q f x )$ ; confidence 0.279
  
112. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010330/a0103304.png ; $B _ { Y }$ ; confidence 0.766
+
112. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120060/w12006047.png ; $J ^ { \prime \prime } 0 ( R ^ { N } , M )$ ; confidence 0.279
  
113. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032450/d032450242.png ; $U _ { y }$ ; confidence 0.973
+
113. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120460/b12046047.png ; $\chi _ { f }$ ; confidence 0.279
  
114. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120020/t1200201.png ; $( F , B )$ ; confidence 0.987
+
114. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170120.png ; $K ^ { \prime 2 } \times I \searrow p t$ ; confidence 0.278
  
115. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130040/t13004046.png ; $D \in D$ ; confidence 0.888
+
115. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130210/c13021012.png ; $( \alpha | b ) ^ { * } \dot { b } = a$ ; confidence 0.278
  
116. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t130050178.png ; $R _ { B }$ ; confidence 0.810
+
116. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120040/i12004050.png ; $K ( s ) = \frac { ( n - 1 ) ! } { ( 2 \pi i ) ^ { N } } \frac { 1 } { \{ s , \zeta - z \} ^ { n } } \times$ ; confidence 0.278
  
117. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a01130086.png ; $I _ { v }$ ; confidence 0.126
+
117. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120070/q12007037.png ; $k \langle E , F , g , g ^ { - 1 } \rangle$ ; confidence 0.278
  
118. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016740/b0167402.png ; $U _ { 2 }$ ; confidence 0.677
+
118. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b11022099.png ; $H _ { P } ^ { 2 } ( X _ { / R } , A ( j ) )$ ; confidence 0.278
  
119. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040850/f040850136.png ; $V _ { t }$ ; confidence 0.724
+
119. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120020/c12002019.png ; $0 \neq \mathfrak { c } _ { \lambda , } , v < \infty$ ; confidence 0.278
  
120. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015120/b01512011.png ; $V ^ { N }$ ; confidence 0.451
+
120. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040685.png ; $X \in X$ ; confidence 0.278
  
121. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011970/a01197085.png ; $W ^ { p }$ ; confidence 0.963
+
121. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f12023057.png ; $[ . . ] ^ { \wedge }$ ; confidence 0.278
  
122. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130090/t13009034.png ; $j _ { l }$ ; confidence 0.059
+
122. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d120230135.png ; $F = Z \gg Z$ ; confidence 0.278
  
123. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031270/d03127016.png ; $T _ { X }$ ; confidence 0.479
+
123. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120020/q1200202.png ; $A = \operatorname { Fun } _ { q } ( SL ( n , C ) )$ ; confidence 0.278
  
124. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110130/b110130226.png ; $f _ { j }$ ; confidence 0.424
+
124. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120010/e12001073.png ; $S = M \circ e$ ; confidence 0.278
  
125. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048200/h0482005.png ; $Z = 1$ ; confidence 0.980
+
125. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l120120139.png ; $G ( K ) ^ { 6 }$ ; confidence 0.278
  
126. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t120060126.png ; $[ 0 , Z ]$ ; confidence 0.980
+
126. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130580/s13058029.png ; $\xi _ { i } ^ { 0 }$ ; confidence 0.278
  
127. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t120060121.png ; $z ^ { 2 }$ ; confidence 0.869
+
127. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120070/q120070136.png ; $R ( t ^ { i } \square j \otimes t ^ { k } \square l ) = R ^ { i } \square j \square ^ { k } \square l$ ; confidence 0.278
  
128. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032450/d032450388.png ; $1 \in V$ ; confidence 0.489
+
128. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120030/b12003013.png ; $A \| f \| _ { 2 } ^ { 2 } \leq \sum _ { n \in Z } \sum _ { m \in Z } \| f , g _ { n } , m \} | ^ { 2 } \leq B \| f \| _ { 2 } ^ { 2 }$ ; confidence 0.277
  
129. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120070/t12007049.png ; $g \in M$ ; confidence 0.997
+
129. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120180/a12018029.png ; $T _ { n }$ ; confidence 0.277
  
130. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120070/t120070154.png ; $a 5 ( g )$ ; confidence 0.546
+
130. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041000/f0410009.png ; $c _ { n }$ ; confidence 0.277
  
131. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120070/t120070116.png ; $J ( z ) =$ ; confidence 1.000
+
131. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075340/p07534060.png ; $A _ { 2 }$ ; confidence 0.277
  
132. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011050/a01105024.png ; $O _ { S }$ ; confidence 0.509
+
132. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120050/s12005050.png ; $A = P T | _ { \mathfrak { h } }$ ; confidence 0.277
  
133. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130100/t13010060.png ; $( G , F )$ ; confidence 0.969
+
133. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130070/r13007066.png ; $f ( x ) : = \sum _ { j = 1 } ^ { J } K ( x , y ; ) c j , c j =$ ; confidence 0.277
  
134. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130100/t13010021.png ; $( H , B )$ ; confidence 0.994
+
134. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520226.png ; $C \in GL _ { N } ( K )$ ; confidence 0.277
  
135. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130100/t13010052.png ; $( T , - )$ ; confidence 1.000
+
135. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010420/a0104203.png ; $n = 1,2 , . .$ ; confidence 0.277
  
136. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130100/t13010030.png ; $( X , Y )$ ; confidence 0.975
+
136. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110206.png ; $G _ { X } ^ { g } = \sum _ { 1 \leq j \leq n } h _ { j } ^ { - 1 } ( | \alpha q _ { j } | ^ { 2 } + | \alpha p _ { j } | ^ { 2 } )$ ; confidence 0.277
  
137. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130110/t13011034.png ; $( T , - )$ ; confidence 1.000
+
137. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120170/l120170306.png ; $X ^ { 2 } \times I$ ; confidence 0.277
  
138. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t13013042.png ; $( T , F )$ ; confidence 0.918
+
138. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240191.png ; $X ^ { \prime } X \hat { \beta } = X ^ { \prime } y$ ; confidence 0.277
  
139. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t13013092.png ; $H ^ { T }$ ; confidence 0.796
+
139. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120040/l12004058.png ; $( u _ { q } ^ { n } , u _ { t } ^ { n } + 1 )$ ; confidence 0.277
  
140. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t13013056.png ; $( T , . )$ ; confidence 0.746
+
140. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074160/p074160167.png ; $T _ { 0 }$ ; confidence 0.277
  
141. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014052.png ; $( Q )$ ; confidence 0.999
+
141. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120010/c120010173.png ; $( a , 0 )$ ; confidence 0.277
  
142. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t130140112.png ; $t \in Q$ ; confidence 0.519
+
142. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b120210143.png ; $k = 1 , \dots , r = \operatorname { dim } n ^ { - }$ ; confidence 0.277
  
143. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014039.png ; $E _ { 6 }$ ; confidence 0.797
+
143. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072850/p07285027.png ; $H \times$ ; confidence 0.277
  
144. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t130140175.png ; $I _ { C }$ ; confidence 0.595
+
144. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130260/b1302601.png ; $f _ { 0 } , \dots , f _ { N }$ ; confidence 0.277
  
145. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t1301408.png ; $d _ { i }$ ; confidence 0.446
+
145. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130010/m13001052.png ; $\{ \langle x _ { 1 } , y _ { 1 } \rangle , \dots , \langle x _ { m } , y _ { m } \rangle \}$ ; confidence 0.277
  
146. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014040.png ; $E _ { 7 }$ ; confidence 0.560
+
146. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020031.png ; $d i j > 0$ ; confidence 0.277
  
147. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012460/a012460143.png ; $Q _ { 1 }$ ; confidence 0.925
+
147. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130090/r13009021.png ; $w \in R ^ { x } \backslash \{ 0 \}$ ; confidence 0.277
  
148. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014041.png ; $E _ { g }$ ; confidence 0.184
+
148. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012250/a01225031.png ; $z = ( z 1 , \dots , z _ { r } )$ ; confidence 0.277
  
149. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t130140123.png ; $q R = q d$ ; confidence 0.433
+
149. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030270/d0302702.png ; $p = 0 , \ldots , n ; \quad n = 0,1 , \ldots$ ; confidence 0.277
  
150. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120130/t12013076.png ; $t = x - y$ ; confidence 0.998
+
150. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120020/h12002032.png ; $\operatorname { lim } _ { | | \rightarrow 0 } \frac { 1 } { | T | } \int _ { I } | f - f _ { I } | d m = 0$ ; confidence 0.276
  
151. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130150/t1301508.png ; $T _ { f }$ ; confidence 0.915
+
151. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d1200209.png ; $( L ) v ^ { * } = \left\{ \begin{array} { l l } { \operatorname { max } } & { g ( u _ { 1 } ) } \\ { s.t. } & { u _ { 1 } \in U _ { 1 } } \end{array} \right.$ ; confidence 0.276
  
152. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120140/t12014012.png ; $j \in Z$ ; confidence 0.665
+
152. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120130/d1201309.png ; $GL ( V ) = \operatorname { Aut } _ { F _ { q } } ( V )$ ; confidence 0.276
  
153. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a014060185.png ; $T _ { d }$ ; confidence 0.437
+
153. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083360/s08336010.png ; $J _ { x } ( z )$ ; confidence 0.276
  
154. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120140/t12014018.png ; $P _ { + }$ ; confidence 0.780
+
154. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130100/r13010090.png ; $A _ { Y }$ ; confidence 0.276
  
155. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073100/p07310063.png ; $W _ { t }$ ; confidence 0.385
+
155. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f13029090.png ; $I ^ { Y }$ ; confidence 0.276
  
156. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076330/q076330128.png ; $A _ { 0 }$ ; confidence 0.718
+
156. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200149.png ; $| g ( k ) | \geq ( \frac { \delta } { 2 + 2 \delta } ) ^ { n - 1 } | b _ { \gamma } z _ { i } ^ { k } |$ ; confidence 0.276
  
157. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600190.png ; $H _ { f }$ ; confidence 0.560
+
157. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f120230116.png ; $- ( - 1 ) ^ { ( q + 1 _ { 1 } - 1 ) ( l _ { 2 } - 1 ) } i ( L _ { 2 } ) \omega \wedge L _ { 1 } , [ \omega \wedge K _ { 1 } , K _ { 2 } ] = \omega \wedge [ K _ { 1 } , K _ { 2 } ] +$ ; confidence 0.276
  
158. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130210/t13021044.png ; $2 ^ { a }$ ; confidence 0.567
+
158. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120130/l12013064.png ; $f ( x _ { p } )$ ; confidence 0.276
  
159. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200155.png ; $k \in S$ ; confidence 0.669
+
159. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b11022060.png ; $H _ { M } ^ { * } ( X , Q ( * ) ) _ { Z } =$ ; confidence 0.276
  
160. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200115.png ; $m , n < N$ ; confidence 0.999
+
160. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120230/m12023074.png ; $( 0 , T ) \times R ^ { N }$ ; confidence 0.276
  
161. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120210/t12021068.png ; $M _ { C }$ ; confidence 0.881
+
161. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015079.png ; $a ^ { x }$ ; confidence 0.276
  
162. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120210/t12021071.png ; $M _ { H }$ ; confidence 0.957
+
162. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060030/l06003053.png ; $\alpha \| c$ ; confidence 0.275
  
163. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057050/l057050187.png ; $M _ { G }$ ; confidence 0.975
+
163. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120050/s12005096.png ; $50 ( S )$ ; confidence 0.275
  
164. https://www.encyclopediaofmath.org/legacyimages/v/v110/v110050/v1100509.png ; $f _ { Q }$ ; confidence 0.972
+
164. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120130/l120130106.png ; $g _ { 1 } ( \alpha ) , \ldots , g _ { m } ( \alpha )$ ; confidence 0.275
  
165. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032110/d0321106.png ; $\mu > 0$ ; confidence 1.000
+
165. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e12010044.png ; $t ^ { em } = t ^ { em } + ( P \otimes E ^ { \prime } - B \otimes M ^ { \prime } + 2 ( M ^ { \prime } B ) 1 )$ ; confidence 0.275
  
166. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033850/d0338501.png ; $x ^ { j }$ ; confidence 0.973
+
166. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120270/a12027072.png ; $a \in K ^ { * }$ ; confidence 0.275
  
167. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130050/v13005042.png ; $1 \in V$ ; confidence 0.605
+
167. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130030/e13003012.png ; $\vec { M }$ ; confidence 0.275
  
168. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130050/v13005097.png ; $L ( - 1 )$ ; confidence 0.962
+
168. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082320/r08232032.png ; $J ( \rho ) = J ( \rho ; x _ { 0 } , u ) = \frac { 1 } { \sigma _ { N } ( \rho ) } \int _ { S _ { R } ( x _ { 0 } , \rho ) } u ( y ) d \sigma _ { N } ( y )$ ; confidence 0.275
  
169. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031280/d031280172.png ; $i \in Z$ ; confidence 0.819
+
169. https://www.encyclopediaofmath.org/legacyimages/k/k130/k130050/k1300507.png ; $Ma = \frac { u } { c } , Re = \frac { u l } { \nu } , Pr = \frac { \nu } { \kappa }$ ; confidence 0.275
  
170. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v120020137.png ; $t _ { n }$ ; confidence 0.413
+
170. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240430.png ; $a ^ { \prime } \Theta$ ; confidence 0.275
  
171. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020740/c02074095.png ; $0 ^ { * }$ ; confidence 0.252
+
171. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120100/b12010039.png ; $= F _ { N } ( X _ { 1 } ( - t , x _ { 1 } , \ldots , x _ { N } ) , \ldots , X _ { N } ( - t , x _ { 1 } , \ldots , x _ { N } ) )$ ; confidence 0.275
  
172. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a014060101.png ; $B _ { j }$ ; confidence 0.359
+
172. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l05700091.png ; $Q \equiv \lambda p f x \cdot p ( \lambda a b \cdot b ( a f ) ) ( \lambda q \cdot x ) I$ ; confidence 0.275
  
173. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022860/c02286044.png ; $B _ { 1 }$ ; confidence 0.508
+
173. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010990/a01099045.png ; $g$ ; confidence 0.275
  
174. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024048.png ; $F ^ { * }$ ; confidence 0.910
+
174. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900227.png ; $I _ { N }$ ; confidence 0.275
  
175. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130070/v13007044.png ; $d w / d Z$ ; confidence 0.993
+
175. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510135.png ; $\gamma ( v ) = \infty ( K )$ ; confidence 0.275
  
176. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074160/p074160167.png ; $T _ { 0 }$ ; confidence 0.277
+
176. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040516.png ; $c \in FFI _ { D } A$ ; confidence 0.275
  
177. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900128.png ; $P \in A$ ; confidence 0.448
+
177. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120110/p1201107.png ; $Y$ ; confidence 0.275
  
178. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v09690032.png ; $A _ { P }$ ; confidence 0.613
+
178. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040322.png ; $Q = \operatorname { Alg } \operatorname { Mod } ^ { * S } D$ ; confidence 0.274
  
179. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900169.png ; $g \in H$ ; confidence 0.574
+
179. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130310/a13031080.png ; $\sum _ { X } \mu ( X ) \frac { ( \operatorname { tim } e _ { A } ( X ) ) ^ { 1 / k } } { | X | } < \infty$ ; confidence 0.274
  
180. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900120.png ; $U \in A$ ; confidence 0.954
+
180. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120190/w1201908.png ; $f _ { W } = ( 2 \pi \hbar ) ^ { - 3 N } \psi _ { W }$ ; confidence 0.274
  
181. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120331.png ; $A _ { F }$ ; confidence 0.693
+
181. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130270/a13027043.png ; $( T ( x _ { x } ) , \psi _ { j } ) = ( f , \psi _ { j } ) , j = 1 , \ldots , n$ ; confidence 0.274
  
182. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110930/b11093018.png ; $Z _ { D }$ ; confidence 0.208
+
182. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120260/e120260138.png ; $\pi _ { v ^ { \prime } , p ^ { \prime } }$ ; confidence 0.274
  
183. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v09690037.png ; $T \in A$ ; confidence 0.853
+
183. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050271.png ; $\pi _ { C } ^ { \# } ( x ) \sim C x ^ { \kappa } ( \operatorname { log } x ) ^ { \nu } \text { as } x \rightarrow \infty$ ; confidence 0.274
  
184. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900227.png ; $I _ { N }$ ; confidence 0.275
+
184. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130010/s13001020.png ; $\rho ^ { v }$ ; confidence 0.274
  
185. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075340/p07534060.png ; $A _ { 2 }$ ; confidence 0.277
+
185. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120150/s120150133.png ; $\pi _ { G \times G _ { x } } s : G \times _ { G _ { X } } S \rightarrow ( G \times _ { G _ { X } } S ) / / G$ ; confidence 0.274
  
186. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120060/v12006030.png ; $p - 1 | n$ ; confidence 0.994
+
186. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120350/s12035027.png ; $P = \operatorname { lim } _ { N \rightarrow \infty } N \cdot \operatorname { Cov } ( \hat { \theta } N ) =$ ; confidence 0.274
  
187. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022890/c02289095.png ; $B _ { m }$ ; confidence 0.287
+
187. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120010/c1200106.png ; $I \subset C ^ { x }$ ; confidence 0.274
  
188. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120010/w12001048.png ; $W _ { N }$ ; confidence 0.995
+
188. https://www.encyclopediaofmath.org/legacyimages/i/i120/i120060/i12006045.png ; $\{ \operatorname { Pred } ( x ) , x \in X _ { P } \} \cup \{ \operatorname { Pred } \operatorname { Succ } ( x ) , x \in X _ { P } \}$ ; confidence 0.274
  
189. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024520/c024520112.png ; $D ^ { k }$ ; confidence 0.893
+
189. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l120120126.png ; $\phi ( x ) \in O$ ; confidence 0.274
  
190. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120020/w1200203.png ; $( U , d )$ ; confidence 0.999
+
190. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120170/s12017093.png ; $S = ( S _ { 1 } , \ldots , S _ { m } )$ ; confidence 0.274
  
191. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074140/p074140164.png ; $p = 1,2$ ; confidence 1.000
+
191. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013010/a013010143.png ; $n 1$ ; confidence 0.274
  
192. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059080/l05908065.png ; $k _ { j }$ ; confidence 0.862
+
192. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008028.png ; $a ( u , v ) = ( f , v ) _ { L } ^ { 2 }$ ; confidence 0.273
  
193. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097590/w09759021.png ; $rd ( D )$ ; confidence 0.582
+
193. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t120200154.png ; $z _ { 1 } \dots z _ { x } \neq 0$ ; confidence 0.273
  
194. https://www.encyclopediaofmath.org/legacyimages/b/b111/b111060/b11106014.png ; $\{ R \}$ ; confidence 0.999
+
194. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130190/b13019012.png ; $a + 7$ ; confidence 0.273
  
195. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120050/w12005065.png ; $GL ( A )$ ; confidence 0.697
+
195. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130140/c13014010.png ; $I \in V$ ; confidence 0.273
  
196. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041880/f04188072.png ; $V _ { m }$ ; confidence 0.883
+
196. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120090/m12009034.png ; $x e ^ { x }$ ; confidence 0.273
  
197. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120050/w12005022.png ; $r \in N$ ; confidence 0.809
+
197. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130480/s13048055.png ; $E _ { 2 } ^ { p A } = H ^ { p } ( B ) \otimes H _ { S } ^ { q } ( D _ { \pi } )$ ; confidence 0.273
  
198. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025420/c025420105.png ; $T _ { A }$ ; confidence 0.417
+
198. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120100/n12010017.png ; $\operatorname { Re } \langle f ( x , y ) - f ( x , z ) , y - z \rangle \leq 0 , y , z \in C ^ { n }$ ; confidence 0.273
  
199. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086670/s08667070.png ; $( G , K )$ ; confidence 0.999
+
199. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130270/a13027051.png ; $\{ x _ { n j } ^ { \prime } \}$ ; confidence 0.273
  
200. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120060/w12006046.png ; $( n , r )$ ; confidence 0.999
+
200. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120100/w12010011.png ; $25$ ; confidence 0.273
  
201. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130070/w13007035.png ; $r = s = 0$ ; confidence 0.975
+
201. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130080/z13008036.png ; $= \frac { ( \alpha + 1 ) _ { k + l } } { ( \alpha + 1 ) _ { k } ( \alpha + 1 ) _ { l } } z ^ { k } z ^ { l } F ( - k , - l ; - k - l - \alpha ; \frac { 1 } { 2 z } )$ ; confidence 0.273
  
202. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034280/d03428025.png ; $W ^ { m }$ ; confidence 0.865
+
202. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120060/b12006023.png ; $w ( z ) = \sum _ { k = 0 } ^ { n } a _ { k } ( z ) \cdot f ^ { ( k ) } ( z ) + \sum _ { k = 0 } ^ { n } b _ { k } ( z ) \overline { g ^ { ( k ) } ( z ) }$ ; confidence 0.273
  
203. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w12007011.png ; $q _ { t }$ ; confidence 0.206
+
203. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220133.png ; $_ { S = m } L ( h ^ { i } ( X ) , s ) = \operatorname { dim } H _ { D } ^ { i + 1 } ( X / R , R ( i + 1 - m ) )$ ; confidence 0.273
  
204. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w12007057.png ; $( D , X )$ ; confidence 0.976
+
204. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130060/v13006021.png ; $5 \longdiv { ( n ) }$ ; confidence 0.272
  
205. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w12007075.png ; $h _ { y }$ ; confidence 0.207
+
205. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090670/s090670103.png ; $W = GL ^ { k } ( n ) \nmid G$ ; confidence 0.272
  
206. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w120070123.png ; $( 2 + 1 )$ ; confidence 1.000
+
206. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i13005037.png ; $| a ( k ) | ^ { 2 } = 1 + | b ( k ) | ^ { 2 } , r _ { - } ( k ) = \frac { b ( k ) } { a ( k ) } , r _ { + } ( k ) = - \frac { b ( - k ) } { a ( k ) }$ ; confidence 0.272
  
207. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w12007084.png ; $i \xi A$ ; confidence 0.984
+
207. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120260/e120260132.png ; $\pi _ { v , p } ( d \theta ) = A ( m , p ) ( L _ { \mu } ( \theta ) ) ^ { - p } \operatorname { exp } \langle \theta , v \rangle \alpha ( d \theta )$ ; confidence 0.272
  
208. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w12007018.png ; $p _ { k }$ ; confidence 0.823
+
208. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220205.png ; $\operatorname { ord } _ { s = m } L ( h ^ { i } ( X ) , s ) = \operatorname { dim } _ { Q } H _ { M } ^ { i + 1 } ( X , Q ( m ) ) _ { Z } ^ { 0 }$ ; confidence 0.272
  
209. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120080/w1200803.png ; $( q , p )$ ; confidence 0.993
+
209. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120180/c120180388.png ; $M \subset \hat { M }$ ; confidence 0.272
  
210. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090161.png ; $g ^ { T }$ ; confidence 0.859
+
210. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n06663025.png ; $f _ { X _ { i } } ^ { ( r _ { i } ^ { * } ) } = \frac { \partial _ { i } ^ { r _ { i } ^ { * } } f } { \partial x _ { i } ^ { r _ { i } ^ { * } } }$ ; confidence 0.272
  
211. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068200/o06820019.png ; $t \in K$ ; confidence 0.856
+
211. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130180/d13018018.png ; $15$ ; confidence 0.272
  
212. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090286.png ; $y ^ { + }$ ; confidence 0.439
+
212. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120270/b12027069.png ; $\alpha ( t ) = b ( t ) + \int _ { \langle 0 , t ] } a ( t - u ) d F ( u ) \text { for } t \geq 0$ ; confidence 0.272
  
213. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030870/d03087012.png ; $e _ { 0 }$ ; confidence 0.253
+
213. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m130140104.png ; $D _ { 1 } \subset C ^ { N }$ ; confidence 0.272
  
214. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090299.png ; $n ^ { + }$ ; confidence 0.892
+
214. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c12017064.png ; $pp \mu \subseteq K$ ; confidence 0.271
  
215. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090298.png ; $b ^ { + }$ ; confidence 0.751
+
215. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120020/s12002012.png ; $\partial _ { x } \alpha L = L _ { x _ { 1 } } \alpha _ { 1 \ldots x _ { D } } ^ { \alpha _ { D } }$ ; confidence 0.271
  
216. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011038.png ; $S ^ { * }$ ; confidence 0.659
+
216. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120550/b12055027.png ; $\hat { b } _ { n }$ ; confidence 0.271
  
217. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110203.png ; $G _ { X }$ ; confidence 0.797
+
217. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120070/l12007045.png ; $v _ { i } , 0$ ; confidence 0.271
  
218. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058610/l05861058.png ; $Sp ( n )$ ; confidence 0.502
+
218. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a1202207.png ; $| e | | < 1$ ; confidence 0.271
  
219. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041150/f04115060.png ; $x . \xi$ ; confidence 0.674
+
219. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130230/a1302301.png ; $P _ { L I \cap V }$ ; confidence 0.271
  
220. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120120/w12012010.png ; $\phi g$ ; confidence 0.997
+
220. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120110/h12011019.png ; $a \in C$ ; confidence 0.271
  
221. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450154.png ; $M _ { g }$ ; confidence 0.869
+
221. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130190/b13019062.png ; $\overline { a } + q$ ; confidence 0.271
  
222. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w1300808.png ; $f _ { g }$ ; confidence 0.988
+
222. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130050/v1300504.png ; $\sum _ { n \geq - 1 } ( \operatorname { dim } V _ { n } ^ { n } ) q ^ { n }$ ; confidence 0.271
  
223. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w13008076.png ; $N = 2$ ; confidence 0.996
+
223. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w13009040.png ; $\theta _ { n } ( h _ { 1 } \otimes \ldots \otimes h _ { n } ) = \theta _ { n } ( h _ { 1 } \otimes \cdots \otimes \sim h _ { n } )$ ; confidence 0.271
  
224. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017400/b017400141.png ; $( x , t )$ ; confidence 0.991
+
224. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120280/s12028035.png ; $E * ( | \overline { S } ( X ) | )$ ; confidence 0.270
  
225. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110100/b110100235.png ; $D _ { n }$ ; confidence 0.874
+
225. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j12002079.png ; $\sum _ { x \in N }$ ; confidence 0.270
  
226. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017340/b01734019.png ; $T _ { m }$ ; confidence 0.806
+
226. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520380.png ; $Y ^ { Q } \equiv y _ { 1 } ^ { q _ { 1 } } \dots y _ { n } ^ { q _ { n } }$ ; confidence 0.270
  
227. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w13008090.png ; $g = N - 1$ ; confidence 1.000
+
227. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130050/r13005031.png ; $\alpha \mapsto a ^ { g }$ ; confidence 0.270
  
228. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080184.png ; $M _ { y }$ ; confidence 0.157
+
228. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010032.png ; $i$ ; confidence 0.270
  
229. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035250/e035250107.png ; $y ^ { * }$ ; confidence 0.168
+
229. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032022.png ; $B _ { V } \otimes _ { W } ( x \otimes y ) = ( - 1 ) ^ { p ( x ) p ( y ) } ( y \otimes x )$ ; confidence 0.270
  
230. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120170/w12017061.png ; $l + n > 2$ ; confidence 0.900
+
230. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l120120161.png ; $p \in S _ { \| }$ ; confidence 0.270
  
231. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041940/f04194061.png ; $X _ { f }$ ; confidence 0.508
+
231. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130060/e13006059.png ; $\beta$ ; confidence 0.270
  
232. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120180/w12018028.png ; $N - 1 / 2$ ; confidence 0.990
+
232. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f12021071.png ; $i = 0 , \dots , n _ { 2 } - 1$ ; confidence 0.270
  
233. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120180/w12018058.png ; $A _ { f }$ ; confidence 0.905
+
233. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110252.png ; $\mathfrak { g } _ { X } = H ( X ) ^ { - 1 } \tilde { h } ( X ) G _ { X } ( T )$ ; confidence 0.270
  
234. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016750/b01675013.png ; $y \in C$ ; confidence 0.998
+
234. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120010/j12001031.png ; $C ( F ) \subset C ( X )$ ; confidence 0.270
  
235. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130120/w13012020.png ; $d _ { H }$ ; confidence 0.471
+
235. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120070/c12007019.png ; $C ^ { \gamma } ( C , M ) \rightarrow M$ ; confidence 0.270
  
236. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110030/e1100302.png ; $( X , d )$ ; confidence 0.998
+
236. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130400/s13040037.png ; $X _ { G } E G = ( X \times E G ) / G$ ; confidence 0.270
  
237. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130120/w13012037.png ; $\pi v d$ ; confidence 0.065
+
237. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130410/s13041010.png ; $\| p \| _ { s } ^ { 2 } = \sum _ { i = 0 } ^ { N } \lambda _ { i } \int _ { R } | p ^ { ( i ) } ( t ) | ^ { 2 } d \mu _ { i } = \sum _ { i = 0 } ^ { N } \lambda _ { i } \| p ^ { ( i ) } ( t ) \| _ { \mu _ { i } } ^ { 2 }$ ; confidence 0.270
  
238. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130120/w1301203.png ; $CL ( X )$ ; confidence 0.626
+
238. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120280/d120280140.png ; $g _ { \lambda } = \sum _ { k = 1 } ^ { n } ( - 1 ) ^ { k - 1 } \frac { \partial u } { \partial z _ { k } } d z [ k ] / d z$ ; confidence 0.270
  
239. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130120/w13012025.png ; $T _ { y }$ ; confidence 0.264
+
239. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120270/a120270111.png ; $\{ a _ { j } ^ { g } : j = 1 , \dots , [ K : Q ] , g \in G \}$ ; confidence 0.270
  
240. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120200/w1202006.png ; $r \in H$ ; confidence 0.537
+
240. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130050/f1300509.png ; $\sum _ { l = 1 } ^ { m } \| p _ { l } - x \| = c ( a \text { constant } )$ ; confidence 0.270
  
241. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012250/a01225027.png ; $\nu = 1$ ; confidence 0.995
+
241. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120150/l12015010.png ; $ad _ { \alpha } = [ \alpha , ]$ ; confidence 0.270
  
242. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032130/d032130316.png ; $K _ { Y }$ ; confidence 0.093
+
242. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m13014036.png ; $r _ { 1 } / r _ { 2 } \notin H _ { r }$ ; confidence 0.269
  
243. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120200/w12020018.png ; $\nu = n$ ; confidence 0.903
+
243. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130190/c13019061.png ; $S ^ { j - 1 }$ ; confidence 0.269
  
244. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046080/h0460806.png ; $H ^ { T }$ ; confidence 0.999
+
244. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006059.png ; $G _ { R } ^ { \# } ( n ) = A _ { R } q ^ { n } + O ( 1 ) \text { as } n \rightarrow \infty$ ; confidence 0.269
  
245. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046080/h04608030.png ; $17212$ ; confidence 0.083
+
245. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130130/t13013019.png ; $\Gamma ^ { \diamond p }$ ; confidence 0.269
  
246. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120210/w12021012.png ; $n = 428$ ; confidence 0.998
+
246. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120190/f12019010.png ; $N = \{ G \backslash ( \cup _ { x \in G } x ^ { - 1 } H x ) \} \cup \{ 1 \}$ ; confidence 0.269
  
247. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120210/w12021024.png ; $k = 4,8$ ; confidence 0.939
+
247. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120270/s12027021.png ; $y _ { 1 } , m , < \ldots < y _ { m , m }$ ; confidence 0.269
  
248. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130140/w13014014.png ; $( 0 ) = 1$ ; confidence 0.995
+
248. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062620/m06262078.png ; $2 \times 2$ ; confidence 0.269
  
249. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080650/r0806501.png ; $y _ { i }$ ; confidence 0.380
+
249. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022110/c02211035.png ; $X ^ { 2 } ( \theta ) = \sum _ { l = 1 } ^ { k } \frac { [ \nu _ { l } - n p _ { l } ( \theta ) ] ^ { 2 } } { n p _ { l } ( \theta ) }$ ; confidence 0.269
  
250. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022080/c0220803.png ; $x _ { S }$ ; confidence 0.756
+
250. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e12010030.png ; $75$ ; confidence 0.268
  
251. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110070/c1100707.png ; $| z | < 1$ ; confidence 0.999
+
251. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c12017024.png ; $K _ { R } \equiv \{ x \in R ^ { n } : r ; ( x ) \geq 0 , j = 1 , \ldots , m \}$ ; confidence 0.268
  
252. https://www.encyclopediaofmath.org/legacyimages/x/x120/x120030/x12003015.png ; $X f ( 1 )$ ; confidence 0.979
+
252. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k05584054.png ; $( H , ( , \ldots ) )$ ; confidence 0.268
  
253. https://www.encyclopediaofmath.org/legacyimages/y/y120/y120010/y12001041.png ; $R _ { V }$ ; confidence 0.700
+
253. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110177.png ; $b = b _ { m } + b _ { m } - 1 + \ldots$ ; confidence 0.268
  
254. https://www.encyclopediaofmath.org/legacyimages/y/y120/y120010/y12001095.png ; $R _ { V }$ ; confidence 0.978
+
254. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130140/m13014018.png ; $J _ { t r }$ ; confidence 0.268
  
255. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065130/m065130112.png ; $S ^ { 4 }$ ; confidence 0.954
+
255. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015450/b0154509.png ; $\{ x _ { 1 } , x \}$ ; confidence 0.268
  
256. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074160/p074160147.png ; $| z | > R$ ; confidence 1.000
+
256. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130130/h13013012.png ; $T ^ { \gamma }$ ; confidence 0.268
  
257. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130010/z13001061.png ; $a ^ { n }$ ; confidence 0.305
+
257. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014046.png ; $R$ ; confidence 0.268
  
258. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130010/z13001063.png ; $n ^ { k }$ ; confidence 0.960
+
258. https://www.encyclopediaofmath.org/legacyimages/o/o110/o110010/o11001035.png ; $e \notin S ( a _ { 1 } , \dots , a _ { n } )$ ; confidence 0.268
  
259. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130100/z13010097.png ; $y \in X$ ; confidence 0.438
+
259. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l12012079.png ; $K _ { tot S } = \cap _ { p \in S } \prod _ { \sigma \in G ( K ) } K _ { p } ^ { \sigma }$ ; confidence 0.268
  
260. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130100/z13010071.png ; $\{ y \}$ ; confidence 0.999
+
260. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120430/b120430146.png ; $B \in \square _ { H } ^ { H } M$ ; confidence 0.268
  
261. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130100/z13010054.png ; $\cup x$ ; confidence 0.686
+
261. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220158.png ; $H _ { M } ^ { i } ( X , Q ( j ) )$ ; confidence 0.268
  
262. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033280/d03328015.png ; $\{ x \}$ ; confidence 0.999
+
262. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012450/a01245047.png ; $b - 1$ ; confidence 0.267
  
263. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024780/c024780257.png ; $V _ { 0 }$ ; confidence 0.635
+
263. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130070/m13007037.png ; $A ^ { \text { in/out } } ( f )$ ; confidence 0.267
  
264. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014310/a014310138.png ; $X \in y$ ; confidence 0.163
+
264. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120050/w12005033.png ; $N \nmid N ^ { 2 }$ ; confidence 0.267
  
265. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062490/m062490152.png ; $F _ { T }$ ; confidence 0.745
+
265. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130650/s1306508.png ; $\Phi _ { n } ^ { * } ( z ) = \sum _ { k = 0 } ^ { n } \overline { b } _ { n k } z ^ { n - k }$ ; confidence 0.267
  
266. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130040/z13004013.png ; $[ m / 2 ]$ ; confidence 0.593
+
266. https://www.encyclopediaofmath.org/legacyimages/n/n120/n120120/n12012015.png ; $x \in \Sigma ^ { \gamma }$ ; confidence 0.267
  
267. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130040/z1300405.png ; $c r ( G )$ ; confidence 0.471
+
267. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120210/m1202108.png ; $K ^ { \gamma }$ ; confidence 0.267
  
268. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130040/z1300409.png ; $[ n + 2 ]$ ; confidence 0.523
+
268. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110020/l11002015.png ; $x ( y \wedge z ) t = x y t / | x z t$ ; confidence 0.267
  
269. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130040/z13004030.png ; $c = 1 / 4$ ; confidence 0.996
+
269. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b13029047.png ; $\mathfrak { p } \in \operatorname { Spec } R$ ; confidence 0.267
  
270. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130050/z13005042.png ; $R _ { p }$ ; confidence 0.455
+
270. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085400/s085400209.png ; $x \in K _ { y }$ ; confidence 0.267
  
271. https://www.encyclopediaofmath.org/legacyimages/z/z120/z120010/z12001011.png ; $GF ( m )$ ; confidence 0.663
+
271. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z130110138.png ; $i = 1 , \dots , 2 ^ { q }$ ; confidence 0.267
  
272. https://www.encyclopediaofmath.org/legacyimages/z/z120/z120010/z12001077.png ; $0 < k < m$ ; confidence 0.999
+
272. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120270/m12027035.png ; $z _ { 1 } , \dots , z _ { x } , 1 / z _ { 1 } , \dots , 1 / z _ { x }$ ; confidence 0.267
  
273. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020540/c02054039.png ; $( p - 1 )$ ; confidence 1.000
+
273. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025830/c02583038.png ; $COO$ ; confidence 0.267
  
274. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130070/z13007027.png ; $Z G = Z H$ ; confidence 0.618
+
274. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130400/s13040028.png ; $\sum _ { l = 0 } \operatorname { dim } H ^ { i } ( X , Z / p ) \geq \sum _ { i = 0 } \operatorname { dim } H ^ { i } ( X ^ { P } , Z / p )$ ; confidence 0.266
  
275. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074690/p07469017.png ; $g \in G$ ; confidence 0.979
+
275. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l12012042.png ; $\hat { K } _ { p } = C$ ; confidence 0.266
  
276. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077490/r07749035.png ; $[ n / 2 ]$ ; confidence 0.964
+
276. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110660/b11066083.png ; $g 1 , \ldots , g _ { x }$ ; confidence 0.266
  
277. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110050/b11005040.png ; $F _ { 1 }$ ; confidence 0.407
+
277. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120100/l12010075.png ; $K _ { N } : = n ( 2 / L _ { 1 , R } ) ^ { 2 / N } ( n + 2 ) ^ { - 1 - 2 / n }$ ; confidence 0.266
  
278. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110090/b11009049.png ; $F _ { 2 }$ ; confidence 0.164
+
278. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200121.png ; $( \alpha _ { i } | \alpha _ { j } ) = d _ { i } a _ { j }$ ; confidence 0.266
  
279. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130080/z13008030.png ; $n = k + l$ ; confidence 0.895
+
279. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040573.png ; $21$ ; confidence 0.266
  
280. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130080/z13008031.png ; $m = k - 1$ ; confidence 0.820
+
280. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120260/e12026021.png ; $P ( \theta , \mu ) ( d x ) = \frac { 1 } { L _ { \mu } ( \theta ) } \operatorname { exp } \langle \theta , x \rangle \mu ( d x )$ ; confidence 0.266
  
281. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130080/z13008013.png ; $V _ { Y }$ ; confidence 0.302
+
281. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120260/a12026082.png ; $( a _ { i } ) _ { i \in N }$ ; confidence 0.266
  
282. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z130110111.png ; $m p ( z )$ ; confidence 0.973
+
282. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130020/j1300205.png ; $\dot { i } \in \Gamma$ ; confidence 0.266
  
283. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z13011047.png ; $10 / 11$ ; confidence 0.902
+
283. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040583.png ; $1$ ; confidence 0.266
  
284. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z130110149.png ; $d N ( s )$ ; confidence 0.994
+
284. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a11030038.png ; $( T ( a _ { 1 } , \dots , a _ { n } ) , d )$ ; confidence 0.266
  
285. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130120/z13012010.png ; $\xi > 1$ ; confidence 1.000
+
285. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120120/b1201206.png ; $\alpha ( n ) = \text { Vol } ( S ^ { x } )$ ; confidence 0.266
  
286. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010159.png ; $4 n$ ; confidence 0.999
+
286. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030270/d03027019.png ; $O ( E [ ( 1 - c ) n ] ( f ) )$ ; confidence 0.266
  
287. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010115.png ; $11$ ; confidence 1.000
+
287. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120230/a12023033.png ; $p _ { 1 } , \dots , p _ { \gamma }$ ; confidence 0.265
  
288. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010129.png ; $15$ ; confidence 1.000
+
288. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c120210100.png ; $X _ { 0 } , \dots , X _ { N }$ ; confidence 0.265
  
289. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a130130103.png ; $K P$ ; confidence 0.846
+
289. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t1200105.png ; $( C ( S ) , \overline { g } ) = ( R _ { + } \times S , d \nu ^ { 2 } + r ^ { 2 } g )$ ; confidence 0.265
  
290. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013095.png ; $12$ ; confidence 0.590
+
290. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130060/b13006089.png ; $\Rightarrow ( \mu I - A ) ^ { - 1 } \cdot E x = x \Rightarrow \| ( \mu I - A ) ^ { - 1 } \cdot E \| \cdot \| x \| \geq \| x \|$ ; confidence 0.265
  
291. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240204.png ; $74$ ; confidence 0.550
+
291. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120170/c120170169.png ; $f , g \in P _ { X } - k$ ; confidence 0.265
  
292. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042079.png ; $25$ ; confidence 0.396
+
292. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110220/b110220187.png ; $x / Q$ ; confidence 0.265
  
293. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240527.png ; $( n$ ; confidence 0.239
+
293. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i130030178.png ; $h ( [ a ] )$ ; confidence 0.265
  
294. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240362.png ; $22$ ; confidence 0.710
+
294. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130040/z13004026.png ; $c = \operatorname { lim } _ { n \rightarrow \infty } \operatorname { cr } ( K _ { \alpha , n } ) \left( \begin{array} { l } { n } \\ { 2 } \end{array} \right) ^ { - 2 }$ ; confidence 0.265
  
295. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240332.png ; $Z = Y X$ ; confidence 0.548
+
295. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010670/a0106705.png ; $Y$ ; confidence 0.265
  
296. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024073.png ; $n = I K$ ; confidence 0.542
+
296. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040635.png ; $F _ { S _ { P } } \mathfrak { M }$ ; confidence 0.264
  
297. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240335.png ; $F = E X$ ; confidence 0.904
+
297. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120240/f1202407.png ; $S , y$ ; confidence 0.264
  
298. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a12031049.png ; $B ( K )$ ; confidence 0.967
+
298. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c130070208.png ; $\sum _ { \text { ord } T } ( u d v )$ ; confidence 0.264
  
299. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a12031058.png ; $C ( S )$ ; confidence 0.996
+
299. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030290/d03029015.png ; $P _ { N } ( x ) = \sum _ { k = 0 } ^ { N } c _ { k } s _ { k } ( x )$ ; confidence 0.264
  
300. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a12031036.png ; $C ( E )$ ; confidence 0.998
+
300. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120510/b12051084.png ; $H _ { x } - 1 _ { d } d$ ; confidence 0.264

Revision as of 00:10, 13 February 2020

List

1. p13007048.png ; $u ( z _ { 1 } , z _ { 2 } ) = \left\{ \begin{array} { c l } { 0 } & { \text { if } | z _ { 1 } | ^ { 2 } , | z _ { 2 } | ^ { 2 } < \frac { 1 } { 2 } } \\ { \operatorname { max } \{ ( | z _ { 1 } | ^ { 2 } - \frac { 1 } { 2 } ) ^ { 2 } , } & { ( | z _ { 2 } | ^ { 2 } - \frac { 1 } { 2 } ) ^ { 2 } \} } \\ { \text { elsewhere on } D } \end{array} \right.$ ; confidence 0.287

2. d03055021.png ; $I$ ; confidence 0.287

3. c02289095.png ; $B _ { m }$ ; confidence 0.287

4. c120180377.png ; $\mathfrak { g } | _ { M } = g$ ; confidence 0.287

5. a13023034.png ; $\| f _ { 1 } - P _ { U \cap V ^ { J } } f \| \leq c ^ { 2 l - 1 } \| f \|$ ; confidence 0.287

6. a120260120.png ; $A ( X _ { 1 } , \dots , X _ { N } )$ ; confidence 0.287

7. j13002045.png ; $P ( X = 0 ) \leq e ^ { - \Omega ( 1 / ( n p ^ { 2 } ) ) }$ ; confidence 0.287

8. a130180116.png ; $\operatorname { co } ( R ) = U \times \operatorname { Rng } ( R )$ ; confidence 0.287

9. h120120166.png ; $F \Psi ^ { q }$ ; confidence 0.287

10. b1303007.png ; $F _ { m } ^ { N }$ ; confidence 0.286

11. s12023094.png ; $X _ { i } = B U \Rightarrow A _ { i } = B$ ; confidence 0.286

12. b13006027.png ; $v _ { 1 } , \dots , v _ { N }$ ; confidence 0.286

13. e12014015.png ; $\langle A , \tilde { f } \} _ { f \in \Phi }$ ; confidence 0.286

14. w12009097.png ; $G$ ; confidence 0.286

15. s13063022.png ; $m _ { 1 } , \dots , m _ { r }$ ; confidence 0.286

16. a13022063.png ; $\square _ { R } \text { Mod } ( ? , C ) \rightarrow S _ { C } \rightarrow 0$ ; confidence 0.286

17. s13049063.png ; $| N _ { k } | ^ { 2 } \geq | N _ { k } - 1 | | N _ { k } + 1$ ; confidence 0.285

18. b1302908.png ; $l _ { A } ( M / qM ) - e _ { q } ^ { 0 } ( M )$ ; confidence 0.285

19. f12024062.png ; $f ( t , \psi ) \in R ^ { x }$ ; confidence 0.285

20. b12032062.png ; $\leq s 1$ ; confidence 0.285

21. s13058031.png ; $\varepsilon _ { l } - \varepsilon _ { l }$ ; confidence 0.285

22. p12017098.png ; $A x = a x - x c$ ; confidence 0.285

23. t12007062.png ; $Q _ { m , j }$ ; confidence 0.285

24. a13018094.png ; $Alg _ { 1 } ( L )$ ; confidence 0.285

25. w12011044.png ; $\alpha ^ { w } = \int _ { R ^ { 2 n } } \alpha ( X ) 2 ^ { n } \sigma _ { X } d X =$ ; confidence 0.285

26. a130040386.png ; $F \subseteq Fi _ { D } A$ ; confidence 0.285

27. d13006059.png ; $A = B ^ { \uparrow X _ { 1 } , \ldots , X _ { n } }$ ; confidence 0.284

28. l12020012.png ; $z / 2$ ; confidence 0.284

29. a11004048.png ; $d _ { 2 }$ ; confidence 0.284

30. t13009017.png ; $\alpha \in T _ { X } \cap T _ { Y }$ ; confidence 0.284

31. w12005058.png ; $h ^ { \alpha } = h _ { 1 } ^ { \alpha _ { 1 } } \ldots h _ { m } ^ { \alpha _ { m } }$ ; confidence 0.284

32. a13013031.png ; $( \partial / \partial t _ { x } ) - Q _ { 0 } z ^ { x }$ ; confidence 0.284

33. p12015022.png ; $C$ ; confidence 0.284

34. j120020204.png ; $\int _ { I } | \varphi - \varphi _ { I } | ^ { 2 } \frac { d \vartheta } { 2 \pi } \leq c _ { 1 } ^ { 2 } | I |$ ; confidence 0.284

35. k12011014.png ; $\theta$ ; confidence 0.284

36. q12008084.png ; $E [ f ( x ) ] _ { P S }$ ; confidence 0.284

37. a12008056.png ; $\alpha ( t , u , v ) = \langle A ( t ) u , v \rangle _ { \langle H ^ { 1 } \rangle } ^ { \prime } \times H ^ { 1 }$ ; confidence 0.284

38. c120180419.png ; $\mathfrak { g } | _ { N } = g$ ; confidence 0.284

39. c120300125.png ; $O _ { y }$ ; confidence 0.284

40. l12004057.png ; $u _ { t } + 1 / 2 ( x , ( 1 / 2 ) \Delta t )$ ; confidence 0.283

41. f13028017.png ; $7$ ; confidence 0.283

42. a13022029.png ; $\tilde { y } f = j$ ; confidence 0.283

43. l12004040.png ; $c = \alpha \frac { \Delta t } { \Delta x }$ ; confidence 0.283

44. w12007029.png ; $\xi _ { \alpha }$ ; confidence 0.283

45. c13016087.png ; $NSPACE [ s ( n ) ] = \text { co } NSPACE [ s ( n ) ]$ ; confidence 0.283

46. a130040745.png ; $\Sigma ( P , R ) \subseteq Fm P L$ ; confidence 0.283

47. a13004059.png ; $F m$ ; confidence 0.283

48. i1300804.png ; $L _ { 1 } ^ { \prime }$ ; confidence 0.283

49. o13003045.png ; $X = \sum _ { j = 1 } ^ { S } X _ { j } e$ ; confidence 0.283

50. k055840177.png ; $E ^ { \prime \prime }$ ; confidence 0.283

51. s12032090.png ; $\langle t ^ { * } ( n ^ { * } ) , m \} = ( - 1 ) ^ { p ( t ) p ( n ^ { * } ) } | n ^ { * } , t ( m ) \}$ ; confidence 0.283

52. z13001038.png ; $x ( n ) = \sum ( \text { residues of } z ^ { n - 1 } _ { \Re ( z ) } )$ ; confidence 0.283

53. b01697020.png ; $i = 1 , \dots , s$ ; confidence 0.282

54. l12001050.png ; $\left\{ \begin{array} { c } { m } \\ { \lceil \frac { m + 1 } { 2 } \rceil } \end{array} \right\}$ ; confidence 0.282

55. c12028019.png ; $\pi X ^ { * }$ ; confidence 0.282

56. s12032052.png ; $U ( L ) = T ( L ) / \{ x \otimes y - ( - 1 ) ^ { p ( x ) p ( y ) } y \otimes x - [ x , y ] \}$ ; confidence 0.282

57. c120170107.png ; $C [ z , z ] / N$ ; confidence 0.282

58. t13013084.png ; $Ext ^ { 2 } ( . . )$ ; confidence 0.282

59. l11001071.png ; $P ^ { + } . P _ { \subseteq } P$ ; confidence 0.282

60. m12013061.png ; $\delta ( 2 ) > K _ { ( 2 ) } / K _ { ( 1 ) }$ ; confidence 0.282

61. a01138088.png ; $u$ ; confidence 0.282

62. a130040723.png ; $P ^ { \prime }$ ; confidence 0.282

63. a12028076.png ; $L _ { w } ( X , Y ) *$ ; confidence 0.282

64. m13025097.png ; $T _ { V }$ ; confidence 0.282

65. c120010172.png ; $a \in C ^ { n } \backslash \{ 0 \}$ ; confidence 0.282

66. z13012044.png ; $W ^ { \prime \prime } H ^ { \omega } [ 0,1 ]$ ; confidence 0.282

67. t120200160.png ; $\kappa \leq | \operatorname { arc } z _ { j } | \leq \pi$ ; confidence 0.282

68. a130040450.png ; $D ( K ) = \langle F m , \vDash _ { K } \rangle$ ; confidence 0.282

69. p13013075.png ; $\operatorname { dim } T _ { \lambda } = 2 ^ { [ ( n - r ( \lambda ) ) / 2 ] } \frac { n ! } { \prod _ { ( i , j ) } b _ { i j } }$ ; confidence 0.281

70. p12011035.png ; $\vec { C }$ ; confidence 0.281

71. p12015015.png ; $P f ( g ) = ( \int _ { g K } f d \mu ) _ { K \in K } , g \in G$ ; confidence 0.281

72. a13018014.png ; $C$ ; confidence 0.281

73. p12015060.png ; $E$ ; confidence 0.281

74. m06222021.png ; $F = 0 , d F = 0 , \dots , d ^ { m } F = 0$ ; confidence 0.281

75. n12003028.png ; $L A$ ; confidence 0.281

76. a130240196.png ; $\sqrt { 3 }$ ; confidence 0.281

77. g12005010.png ; $\psi = \psi _ { 0 } + f ( y ) e ^ { i \langle \langle k , x \rangle + \mu t }$ ; confidence 0.281

78. i13007024.png ; $q \in Q _ { m } : = \left\{ \begin{array} { c } { q = \overline { q } } \\ { q : | q ( x ) | + | \nabla ^ { m } q | \leq c ( 1 + | x | ) ^ { - b } } \\ { b > 3 } \end{array} \right.$ ; confidence 0.281

79. v13011018.png ; $\Gamma = \Delta \vec { U } .$ ; confidence 0.281

80. m12021028.png ; $t \in E ^ { x }$ ; confidence 0.281

81. c022850102.png ; $4 \sqrt { 3 }$ ; confidence 0.281

82. a130050185.png ; $\zeta _ { A } ( z ) = \prod _ { r \geq 1 } \quad ( 1 - p ^ { - r z } ) ^ { - 1 } = \prod _ { r = 1 } ^ { \infty } \zeta ( r z )$ ; confidence 0.281

83. d03167011.png ; $\sigma | _ { A }$ ; confidence 0.281

84. a13030065.png ; $\{ \alpha \in A : \alpha . \Im ( T ) = \Im ( T ) , \alpha = \{ 0 \} \}$ ; confidence 0.281

85. m130250104.png ; $u v - ( T _ { d } v + T _ { v } u ) \in H ^ { r } ( R ^ { n } )$ ; confidence 0.281

86. o13008015.png ; $\{ 1,1,2 \}$ ; confidence 0.280

87. r13008070.png ; $\{ h ( t , p _ { j } ) \} _ { 1 } \leq j \leq x$ ; confidence 0.280

88. b1300901.png ; $u _ { t } + u _ { \lambda } + u u _ { X } - u _ { X x t } = 0$ ; confidence 0.280

89. h13005018.png ; $\{ \lambda _ { n } = - \kappa _ { n } ^ { 2 } \} _ { n = 1 } ^ { N }$ ; confidence 0.280

90. j120020113.png ; $P [ \operatorname { sup } _ { t \geq T } | X _ { t } - X _ { T } | > \lambda ] \leq C _ { e } ^ { - \lambda / e } P [ T < \infty ]$ ; confidence 0.280

91. w12005037.png ; $A = R [ x _ { 1 } , \dots , x _ { N } ] / A$ ; confidence 0.280

92. b11084037.png ; $z ^ { x }$ ; confidence 0.280

93. l12017064.png ; $Q = \langle a _ { 1 } , \dots , a _ { g } | S _ { 1 } , \dots , S _ { n } \rangle$ ; confidence 0.280

94. b12040086.png ; $p \in \mathfrak { h } ^ { * }$ ; confidence 0.280

95. j1300101.png ; $Q _ { D } ( v , z ) = z ^ { \operatorname { com } ( D ) - 1 } v ^ { - \operatorname { Tait } ( D ) } ( v ^ { - 1 } - v ) P _ { D } ( v , z )$ ; confidence 0.280

96. h0480703.png ; $p ( x ) = \frac { \Gamma ( ( n + 1 ) / 2 ) x ^ { k / 2 - 1 } ( 1 + x / n ) - ( n + 1 ) / 2 } { \Gamma ( ( n - k + 1 ) / 2 ) \Gamma ( k / 2 ) n ^ { k / 2 } }$ ; confidence 0.280

97. c02211020.png ; $x \in R ^ { 1 }$ ; confidence 0.280

98. r13008045.png ; $| f ( z _ { 0 } ) | ^ { 2 } \leq \frac { 1 } { \pi r ^ { 2 } } \int _ { D _ { z _ { 0 } , r } } | f ( \zeta ) | ^ { 2 } d x d y \leq \frac { 1 } { \pi r ^ { 2 } } ( f , f ) _ { L } 2 _ { ( D ) }$ ; confidence 0.280

99. c120080105.png ; $x _ { i j } \in R ^ { x }$ ; confidence 0.279

100. b120430115.png ; $\Delta \left( \begin{array} { c c } { \alpha } & { \beta } \\ { \gamma } & { \delta } \end{array} \right) = \left( \begin{array} { c c } { \alpha } & { \beta } \\ { \gamma } & { \delta } \end{array} \right) \otimes \left( \begin{array} { c c } { \alpha } & { \beta } \\ { \gamma } & { \delta } \end{array} \right)$ ; confidence 0.279

101. b13012097.png ; $\omega ( g , )$ ; confidence 0.279

102. e120230116.png ; $\omega ^ { i k }$ ; confidence 0.279

103. c023530161.png ; $X$ ; confidence 0.279

104. e12021046.png ; $p _ { m } + 1 ( x ) = ( m x + 1 ) p _ { m } ( x ) - x ( x - 1 ) p _ { m } ^ { \prime } ( x ) , \quad m \geq 1$ ; confidence 0.279

105. m13014089.png ; $D _ { j , k } ( \alpha ) = \{ z : b _ { j } ^ { 1 } | z _ { 1 } - \alpha _ { 1 } | ^ { 2 } + \ldots + b _ { j } ^ { n } | z _ { \lambda } - a _ { \lambda } | ^ { 2 } < r _ { j , k } ^ { 2 } \}$ ; confidence 0.279

106. c022030101.png ; $\gamma _ { i }$ ; confidence 0.279

107. e1300205.png ; $( u ; ) j \in N$ ; confidence 0.279

108. c02313032.png ; $d x$ ; confidence 0.279

109. s13065020.png ; $\Phi _ { y } ^ { x }$ ; confidence 0.279

110. q12001072.png ; $c ^ { 0 } \neq 0$ ; confidence 0.279

111. l05700089.png ; $\equiv \lambda \text { pqf } x \cdot p f ( q f x )$ ; confidence 0.279

112. w12006047.png ; $J ^ { \prime \prime } 0 ( R ^ { N } , M )$ ; confidence 0.279

113. b12046047.png ; $\chi _ { f }$ ; confidence 0.279

114. l120170120.png ; $K ^ { \prime 2 } \times I \searrow p t$ ; confidence 0.278

115. c13021012.png ; $( \alpha | b ) ^ { * } \dot { b } = a$ ; confidence 0.278

116. i12004050.png ; $K ( s ) = \frac { ( n - 1 ) ! } { ( 2 \pi i ) ^ { N } } \frac { 1 } { \{ s , \zeta - z \} ^ { n } } \times$ ; confidence 0.278

117. q12007037.png ; $k \langle E , F , g , g ^ { - 1 } \rangle$ ; confidence 0.278

118. b11022099.png ; $H _ { P } ^ { 2 } ( X _ { / R } , A ( j ) )$ ; confidence 0.278

119. c12002019.png ; $0 \neq \mathfrak { c } _ { \lambda , } , v < \infty$ ; confidence 0.278

120. a130040685.png ; $X \in X$ ; confidence 0.278

121. f12023057.png ; $[ . . ] ^ { \wedge }$ ; confidence 0.278

122. d120230135.png ; $F = Z \gg Z$ ; confidence 0.278

123. q1200202.png ; $A = \operatorname { Fun } _ { q } ( SL ( n , C ) )$ ; confidence 0.278

124. e12001073.png ; $S = M \circ e$ ; confidence 0.278

125. l120120139.png ; $G ( K ) ^ { 6 }$ ; confidence 0.278

126. s13058029.png ; $\xi _ { i } ^ { 0 }$ ; confidence 0.278

127. q120070136.png ; $R ( t ^ { i } \square j \otimes t ^ { k } \square l ) = R ^ { i } \square j \square ^ { k } \square l$ ; confidence 0.278

128. b12003013.png ; $A \| f \| _ { 2 } ^ { 2 } \leq \sum _ { n \in Z } \sum _ { m \in Z } \| f , g _ { n } , m \} | ^ { 2 } \leq B \| f \| _ { 2 } ^ { 2 }$ ; confidence 0.277

129. a12018029.png ; $T _ { n }$ ; confidence 0.277

130. f0410009.png ; $c _ { n }$ ; confidence 0.277

131. p07534060.png ; $A _ { 2 }$ ; confidence 0.277

132. s12005050.png ; $A = P T | _ { \mathfrak { h } }$ ; confidence 0.277

133. r13007066.png ; $f ( x ) : = \sum _ { j = 1 } ^ { J } K ( x , y ; ) c j , c j =$ ; confidence 0.277

134. n067520226.png ; $C \in GL _ { N } ( K )$ ; confidence 0.277

135. a0104203.png ; $n = 1,2 , . .$ ; confidence 0.277

136. w120110206.png ; $G _ { X } ^ { g } = \sum _ { 1 \leq j \leq n } h _ { j } ^ { - 1 } ( | \alpha q _ { j } | ^ { 2 } + | \alpha p _ { j } | ^ { 2 } )$ ; confidence 0.277

137. l120170306.png ; $X ^ { 2 } \times I$ ; confidence 0.277

138. a130240191.png ; $X ^ { \prime } X \hat { \beta } = X ^ { \prime } y$ ; confidence 0.277

139. l12004058.png ; $( u _ { q } ^ { n } , u _ { t } ^ { n } + 1 )$ ; confidence 0.277

140. p074160167.png ; $T _ { 0 }$ ; confidence 0.277

141. c120010173.png ; $( a , 0 )$ ; confidence 0.277

142. b120210143.png ; $k = 1 , \dots , r = \operatorname { dim } n ^ { - }$ ; confidence 0.277

143. p07285027.png ; $H \times$ ; confidence 0.277

144. b1302601.png ; $f _ { 0 } , \dots , f _ { N }$ ; confidence 0.277

145. m13001052.png ; $\{ \langle x _ { 1 } , y _ { 1 } \rangle , \dots , \langle x _ { m } , y _ { m } \rangle \}$ ; confidence 0.277

146. b13020031.png ; $d i j > 0$ ; confidence 0.277

147. r13009021.png ; $w \in R ^ { x } \backslash \{ 0 \}$ ; confidence 0.277

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

149. d0302702.png ; $p = 0 , \ldots , n ; \quad n = 0,1 , \ldots$ ; confidence 0.277

150. h12002032.png ; $\operatorname { lim } _ { | | \rightarrow 0 } \frac { 1 } { | T | } \int _ { I } | f - f _ { I } | d m = 0$ ; confidence 0.276

151. d1200209.png ; $( L ) v ^ { * } = \left\{ \begin{array} { l l } { \operatorname { max } } & { g ( u _ { 1 } ) } \\ { s.t. } & { u _ { 1 } \in U _ { 1 } } \end{array} \right.$ ; confidence 0.276

152. d1201309.png ; $GL ( V ) = \operatorname { Aut } _ { F _ { q } } ( V )$ ; confidence 0.276

153. s08336010.png ; $J _ { x } ( z )$ ; confidence 0.276

154. r13010090.png ; $A _ { Y }$ ; confidence 0.276

155. f13029090.png ; $I ^ { Y }$ ; confidence 0.276

156. t120200149.png ; $| g ( k ) | \geq ( \frac { \delta } { 2 + 2 \delta } ) ^ { n - 1 } | b _ { \gamma } z _ { i } ^ { k } |$ ; confidence 0.276

157. f120230116.png ; $- ( - 1 ) ^ { ( q + 1 _ { 1 } - 1 ) ( l _ { 2 } - 1 ) } i ( L _ { 2 } ) \omega \wedge L _ { 1 } , [ \omega \wedge K _ { 1 } , K _ { 2 } ] = \omega \wedge [ K _ { 1 } , K _ { 2 } ] +$ ; confidence 0.276

158. l12013064.png ; $f ( x _ { p } )$ ; confidence 0.276

159. b11022060.png ; $H _ { M } ^ { * } ( X , Q ( * ) ) _ { Z } =$ ; confidence 0.276

160. m12023074.png ; $( 0 , T ) \times R ^ { N }$ ; confidence 0.276

161. a12015079.png ; $a ^ { x }$ ; confidence 0.276

162. l06003053.png ; $\alpha \| c$ ; confidence 0.275

163. s12005096.png ; $50 ( S )$ ; confidence 0.275

164. l120130106.png ; $g _ { 1 } ( \alpha ) , \ldots , g _ { m } ( \alpha )$ ; confidence 0.275

165. e12010044.png ; $t ^ { em } = t ^ { em } + ( P \otimes E ^ { \prime } - B \otimes M ^ { \prime } + 2 ( M ^ { \prime } B ) 1 )$ ; confidence 0.275

166. a12027072.png ; $a \in K ^ { * }$ ; confidence 0.275

167. e13003012.png ; $\vec { M }$ ; confidence 0.275

168. r08232032.png ; $J ( \rho ) = J ( \rho ; x _ { 0 } , u ) = \frac { 1 } { \sigma _ { N } ( \rho ) } \int _ { S _ { R } ( x _ { 0 } , \rho ) } u ( y ) d \sigma _ { N } ( y )$ ; confidence 0.275

169. k1300507.png ; $Ma = \frac { u } { c } , Re = \frac { u l } { \nu } , Pr = \frac { \nu } { \kappa }$ ; confidence 0.275

170. a130240430.png ; $a ^ { \prime } \Theta$ ; confidence 0.275

171. b12010039.png ; $= F _ { N } ( X _ { 1 } ( - t , x _ { 1 } , \ldots , x _ { N } ) , \ldots , X _ { N } ( - t , x _ { 1 } , \ldots , x _ { N } ) )$ ; confidence 0.275

172. l05700091.png ; $Q \equiv \lambda p f x \cdot p ( \lambda a b \cdot b ( a f ) ) ( \lambda q \cdot x ) I$ ; confidence 0.275

173. a01099045.png ; $g$ ; confidence 0.275

174. v096900227.png ; $I _ { N }$ ; confidence 0.275

175. s130510135.png ; $\gamma ( v ) = \infty ( K )$ ; confidence 0.275

176. a130040516.png ; $c \in FFI _ { D } A$ ; confidence 0.275

177. p1201107.png ; $Y$ ; confidence 0.275

178. a130040322.png ; $Q = \operatorname { Alg } \operatorname { Mod } ^ { * S } D$ ; confidence 0.274

179. a13031080.png ; $\sum _ { X } \mu ( X ) \frac { ( \operatorname { tim } e _ { A } ( X ) ) ^ { 1 / k } } { | X | } < \infty$ ; confidence 0.274

180. w1201908.png ; $f _ { W } = ( 2 \pi \hbar ) ^ { - 3 N } \psi _ { W }$ ; confidence 0.274

181. a13027043.png ; $( T ( x _ { x } ) , \psi _ { j } ) = ( f , \psi _ { j } ) , j = 1 , \ldots , n$ ; confidence 0.274

182. e120260138.png ; $\pi _ { v ^ { \prime } , p ^ { \prime } }$ ; confidence 0.274

183. a130050271.png ; $\pi _ { C } ^ { \# } ( x ) \sim C x ^ { \kappa } ( \operatorname { log } x ) ^ { \nu } \text { as } x \rightarrow \infty$ ; confidence 0.274

184. s13001020.png ; $\rho ^ { v }$ ; confidence 0.274

185. s120150133.png ; $\pi _ { G \times G _ { x } } s : G \times _ { G _ { X } } S \rightarrow ( G \times _ { G _ { X } } S ) / / G$ ; confidence 0.274

186. s12035027.png ; $P = \operatorname { lim } _ { N \rightarrow \infty } N \cdot \operatorname { Cov } ( \hat { \theta } N ) =$ ; confidence 0.274

187. c1200106.png ; $I \subset C ^ { x }$ ; confidence 0.274

188. i12006045.png ; $\{ \operatorname { Pred } ( x ) , x \in X _ { P } \} \cup \{ \operatorname { Pred } \operatorname { Succ } ( x ) , x \in X _ { P } \}$ ; confidence 0.274

189. l120120126.png ; $\phi ( x ) \in O$ ; confidence 0.274

190. s12017093.png ; $S = ( S _ { 1 } , \ldots , S _ { m } )$ ; confidence 0.274

191. a013010143.png ; $n 1$ ; confidence 0.274

192. a12008028.png ; $a ( u , v ) = ( f , v ) _ { L } ^ { 2 }$ ; confidence 0.273

193. t120200154.png ; $z _ { 1 } \dots z _ { x } \neq 0$ ; confidence 0.273

194. b13019012.png ; $a + 7$ ; confidence 0.273

195. c13014010.png ; $I \in V$ ; confidence 0.273

196. m12009034.png ; $x e ^ { x }$ ; confidence 0.273

197. s13048055.png ; $E _ { 2 } ^ { p A } = H ^ { p } ( B ) \otimes H _ { S } ^ { q } ( D _ { \pi } )$ ; confidence 0.273

198. n12010017.png ; $\operatorname { Re } \langle f ( x , y ) - f ( x , z ) , y - z \rangle \leq 0 , y , z \in C ^ { n }$ ; confidence 0.273

199. a13027051.png ; $\{ x _ { n j } ^ { \prime } \}$ ; confidence 0.273

200. w12010011.png ; $25$ ; confidence 0.273

201. z13008036.png ; $= \frac { ( \alpha + 1 ) _ { k + l } } { ( \alpha + 1 ) _ { k } ( \alpha + 1 ) _ { l } } z ^ { k } z ^ { l } F ( - k , - l ; - k - l - \alpha ; \frac { 1 } { 2 z } )$ ; confidence 0.273

202. b12006023.png ; $w ( z ) = \sum _ { k = 0 } ^ { n } a _ { k } ( z ) \cdot f ^ { ( k ) } ( z ) + \sum _ { k = 0 } ^ { n } b _ { k } ( z ) \overline { g ^ { ( k ) } ( z ) }$ ; confidence 0.273

203. b110220133.png ; $_ { S = m } L ( h ^ { i } ( X ) , s ) = \operatorname { dim } H _ { D } ^ { i + 1 } ( X / R , R ( i + 1 - m ) )$ ; confidence 0.273

204. v13006021.png ; $5 \longdiv { ( n ) }$ ; confidence 0.272

205. s090670103.png ; $W = GL ^ { k } ( n ) \nmid G$ ; confidence 0.272

206. i13005037.png ; $| a ( k ) | ^ { 2 } = 1 + | b ( k ) | ^ { 2 } , r _ { - } ( k ) = \frac { b ( k ) } { a ( k ) } , r _ { + } ( k ) = - \frac { b ( - k ) } { a ( k ) }$ ; confidence 0.272

207. e120260132.png ; $\pi _ { v , p } ( d \theta ) = A ( m , p ) ( L _ { \mu } ( \theta ) ) ^ { - p } \operatorname { exp } \langle \theta , v \rangle \alpha ( d \theta )$ ; confidence 0.272

208. b110220205.png ; $\operatorname { ord } _ { s = m } L ( h ^ { i } ( X ) , s ) = \operatorname { dim } _ { Q } H _ { M } ^ { i + 1 } ( X , Q ( m ) ) _ { Z } ^ { 0 }$ ; confidence 0.272

209. c120180388.png ; $M \subset \hat { M }$ ; confidence 0.272

210. n06663025.png ; $f _ { X _ { i } } ^ { ( r _ { i } ^ { * } ) } = \frac { \partial _ { i } ^ { r _ { i } ^ { * } } f } { \partial x _ { i } ^ { r _ { i } ^ { * } } }$ ; confidence 0.272

211. d13018018.png ; $15$ ; confidence 0.272

212. b12027069.png ; $\alpha ( t ) = b ( t ) + \int _ { \langle 0 , t ] } a ( t - u ) d F ( u ) \text { for } t \geq 0$ ; confidence 0.272

213. m130140104.png ; $D _ { 1 } \subset C ^ { N }$ ; confidence 0.272

214. c12017064.png ; $pp \mu \subseteq K$ ; confidence 0.271

215. s12002012.png ; $\partial _ { x } \alpha L = L _ { x _ { 1 } } \alpha _ { 1 \ldots x _ { D } } ^ { \alpha _ { D } }$ ; confidence 0.271

216. b12055027.png ; $\hat { b } _ { n }$ ; confidence 0.271

217. l12007045.png ; $v _ { i } , 0$ ; confidence 0.271

218. a1202207.png ; $| e | | < 1$ ; confidence 0.271

219. a1302301.png ; $P _ { L I \cap V }$ ; confidence 0.271

220. h12011019.png ; $a \in C$ ; confidence 0.271

221. b13019062.png ; $\overline { a } + q$ ; confidence 0.271

222. v1300504.png ; $\sum _ { n \geq - 1 } ( \operatorname { dim } V _ { n } ^ { n } ) q ^ { n }$ ; confidence 0.271

223. w13009040.png ; $\theta _ { n } ( h _ { 1 } \otimes \ldots \otimes h _ { n } ) = \theta _ { n } ( h _ { 1 } \otimes \cdots \otimes \sim h _ { n } )$ ; confidence 0.271

224. s12028035.png ; $E * ( | \overline { S } ( X ) | )$ ; confidence 0.270

225. j12002079.png ; $\sum _ { x \in N }$ ; confidence 0.270

226. n067520380.png ; $Y ^ { Q } \equiv y _ { 1 } ^ { q _ { 1 } } \dots y _ { n } ^ { q _ { n } }$ ; confidence 0.270

227. r13005031.png ; $\alpha \mapsto a ^ { g }$ ; confidence 0.270

228. a12010032.png ; $i$ ; confidence 0.270

229. s12032022.png ; $B _ { V } \otimes _ { W } ( x \otimes y ) = ( - 1 ) ^ { p ( x ) p ( y ) } ( y \otimes x )$ ; confidence 0.270

230. l120120161.png ; $p \in S _ { \| }$ ; confidence 0.270

231. e13006059.png ; $\beta$ ; confidence 0.270

232. f12021071.png ; $i = 0 , \dots , n _ { 2 } - 1$ ; confidence 0.270

233. w120110252.png ; $\mathfrak { g } _ { X } = H ( X ) ^ { - 1 } \tilde { h } ( X ) G _ { X } ( T )$ ; confidence 0.270

234. j12001031.png ; $C ( F ) \subset C ( X )$ ; confidence 0.270

235. c12007019.png ; $C ^ { \gamma } ( C , M ) \rightarrow M$ ; confidence 0.270

236. s13040037.png ; $X _ { G } E G = ( X \times E G ) / G$ ; confidence 0.270

237. s13041010.png ; $\| p \| _ { s } ^ { 2 } = \sum _ { i = 0 } ^ { N } \lambda _ { i } \int _ { R } | p ^ { ( i ) } ( t ) | ^ { 2 } d \mu _ { i } = \sum _ { i = 0 } ^ { N } \lambda _ { i } \| p ^ { ( i ) } ( t ) \| _ { \mu _ { i } } ^ { 2 }$ ; confidence 0.270

238. d120280140.png ; $g _ { \lambda } = \sum _ { k = 1 } ^ { n } ( - 1 ) ^ { k - 1 } \frac { \partial u } { \partial z _ { k } } d z [ k ] / d z$ ; confidence 0.270

239. a120270111.png ; $\{ a _ { j } ^ { g } : j = 1 , \dots , [ K : Q ] , g \in G \}$ ; confidence 0.270

240. f1300509.png ; $\sum _ { l = 1 } ^ { m } \| p _ { l } - x \| = c ( a \text { constant } )$ ; confidence 0.270

241. l12015010.png ; $ad _ { \alpha } = [ \alpha , ]$ ; confidence 0.270

242. m13014036.png ; $r _ { 1 } / r _ { 2 } \notin H _ { r }$ ; confidence 0.269

243. c13019061.png ; $S ^ { j - 1 }$ ; confidence 0.269

244. a13006059.png ; $G _ { R } ^ { \# } ( n ) = A _ { R } q ^ { n } + O ( 1 ) \text { as } n \rightarrow \infty$ ; confidence 0.269

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

246. f12019010.png ; $N = \{ G \backslash ( \cup _ { x \in G } x ^ { - 1 } H x ) \} \cup \{ 1 \}$ ; confidence 0.269

247. s12027021.png ; $y _ { 1 } , m , < \ldots < y _ { m , m }$ ; confidence 0.269

248. m06262078.png ; $2 \times 2$ ; confidence 0.269

249. c02211035.png ; $X ^ { 2 } ( \theta ) = \sum _ { l = 1 } ^ { k } \frac { [ \nu _ { l } - n p _ { l } ( \theta ) ] ^ { 2 } } { n p _ { l } ( \theta ) }$ ; confidence 0.269

250. e12010030.png ; $75$ ; confidence 0.268

251. c12017024.png ; $K _ { R } \equiv \{ x \in R ^ { n } : r ; ( x ) \geq 0 , j = 1 , \ldots , m \}$ ; confidence 0.268

252. k05584054.png ; $( H , ( , \ldots ) )$ ; confidence 0.268

253. w120110177.png ; $b = b _ { m } + b _ { m } - 1 + \ldots$ ; confidence 0.268

254. m13014018.png ; $J _ { t r }$ ; confidence 0.268

255. b0154509.png ; $\{ x _ { 1 } , x \}$ ; confidence 0.268

256. h13013012.png ; $T ^ { \gamma }$ ; confidence 0.268

257. t13014046.png ; $R$ ; confidence 0.268

258. o11001035.png ; $e \notin S ( a _ { 1 } , \dots , a _ { n } )$ ; confidence 0.268

259. l12012079.png ; $K _ { tot S } = \cap _ { p \in S } \prod _ { \sigma \in G ( K ) } K _ { p } ^ { \sigma }$ ; confidence 0.268

260. b120430146.png ; $B \in \square _ { H } ^ { H } M$ ; confidence 0.268

261. b110220158.png ; $H _ { M } ^ { i } ( X , Q ( j ) )$ ; confidence 0.268

262. a01245047.png ; $b - 1$ ; confidence 0.267

263. m13007037.png ; $A ^ { \text { in/out } } ( f )$ ; confidence 0.267

264. w12005033.png ; $N \nmid N ^ { 2 }$ ; confidence 0.267

265. s1306508.png ; $\Phi _ { n } ^ { * } ( z ) = \sum _ { k = 0 } ^ { n } \overline { b } _ { n k } z ^ { n - k }$ ; confidence 0.267

266. n12012015.png ; $x \in \Sigma ^ { \gamma }$ ; confidence 0.267

267. m1202108.png ; $K ^ { \gamma }$ ; confidence 0.267

268. l11002015.png ; $x ( y \wedge z ) t = x y t / | x z t$ ; confidence 0.267

269. b13029047.png ; $\mathfrak { p } \in \operatorname { Spec } R$ ; confidence 0.267

270. s085400209.png ; $x \in K _ { y }$ ; confidence 0.267

271. z130110138.png ; $i = 1 , \dots , 2 ^ { q }$ ; confidence 0.267

272. m12027035.png ; $z _ { 1 } , \dots , z _ { x } , 1 / z _ { 1 } , \dots , 1 / z _ { x }$ ; confidence 0.267

273. c02583038.png ; $COO$ ; confidence 0.267

274. s13040028.png ; $\sum _ { l = 0 } \operatorname { dim } H ^ { i } ( X , Z / p ) \geq \sum _ { i = 0 } \operatorname { dim } H ^ { i } ( X ^ { P } , Z / p )$ ; confidence 0.266

275. l12012042.png ; $\hat { K } _ { p } = C$ ; confidence 0.266

276. b11066083.png ; $g 1 , \ldots , g _ { x }$ ; confidence 0.266

277. l12010075.png ; $K _ { N } : = n ( 2 / L _ { 1 , R } ) ^ { 2 / N } ( n + 2 ) ^ { - 1 - 2 / n }$ ; confidence 0.266

278. b130200121.png ; $( \alpha _ { i } | \alpha _ { j } ) = d _ { i } a _ { j }$ ; confidence 0.266

279. a130040573.png ; $21$ ; confidence 0.266

280. e12026021.png ; $P ( \theta , \mu ) ( d x ) = \frac { 1 } { L _ { \mu } ( \theta ) } \operatorname { exp } \langle \theta , x \rangle \mu ( d x )$ ; confidence 0.266

281. a12026082.png ; $( a _ { i } ) _ { i \in N }$ ; confidence 0.266

282. j1300205.png ; $\dot { i } \in \Gamma$ ; confidence 0.266

283. a130040583.png ; $1$ ; confidence 0.266

284. a11030038.png ; $( T ( a _ { 1 } , \dots , a _ { n } ) , d )$ ; confidence 0.266

285. b1201206.png ; $\alpha ( n ) = \text { Vol } ( S ^ { x } )$ ; confidence 0.266

286. d03027019.png ; $O ( E [ ( 1 - c ) n ] ( f ) )$ ; confidence 0.266

287. a12023033.png ; $p _ { 1 } , \dots , p _ { \gamma }$ ; confidence 0.265

288. c120210100.png ; $X _ { 0 } , \dots , X _ { N }$ ; confidence 0.265

289. t1200105.png ; $( C ( S ) , \overline { g } ) = ( R _ { + } \times S , d \nu ^ { 2 } + r ^ { 2 } g )$ ; confidence 0.265

290. b13006089.png ; $\Rightarrow ( \mu I - A ) ^ { - 1 } \cdot E x = x \Rightarrow \| ( \mu I - A ) ^ { - 1 } \cdot E \| \cdot \| x \| \geq \| x \|$ ; confidence 0.265

291. c120170169.png ; $f , g \in P _ { X } - k$ ; confidence 0.265

292. b110220187.png ; $x / Q$ ; confidence 0.265

293. i130030178.png ; $h ( [ a ] )$ ; confidence 0.265

294. z13004026.png ; $c = \operatorname { lim } _ { n \rightarrow \infty } \operatorname { cr } ( K _ { \alpha , n } ) \left( \begin{array} { l } { n } \\ { 2 } \end{array} \right) ^ { - 2 }$ ; confidence 0.265

295. a0106705.png ; $Y$ ; confidence 0.265

296. a130040635.png ; $F _ { S _ { P } } \mathfrak { M }$ ; confidence 0.264

297. f1202407.png ; $S , y$ ; confidence 0.264

298. c130070208.png ; $\sum _ { \text { ord } T } ( u d v )$ ; confidence 0.264

299. d03029015.png ; $P _ { N } ( x ) = \sum _ { k = 0 } ^ { N } c _ { k } s _ { k } ( x )$ ; confidence 0.264

300. b12051084.png ; $H _ { x } - 1 _ { d } d$ ; confidence 0.264

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/NoNroff/69. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/NoNroff/69&oldid=44479