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(AUTOMATIC EDIT of page 6 out of 11 with 300 lines: Updated image/latex database (currently 3083 images latexified; order by Confidence, ascending: False.)
(AUTOMATIC EDIT of page 6 out of 13 with 300 lines: Updated image/latex database (currently 3630 images latexified; order by Confidence, ascending: False.)
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== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420109.png ; $x , y \in A$ ; confidence 0.906
+
1. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539052.png ; $L _ { 22 } < L _ { 21 }$ ; confidence 0.945
  
2. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001097.png ; $SO ( 4 n + 3 )$ ; confidence 0.906
+
2. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b130300112.png ; $F _ { m }$ ; confidence 0.945
  
3. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a01406028.png ; $20$ ; confidence 0.906
+
3. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110500/c11050032.png ; $H C ^ { 0 } ( A )$ ; confidence 0.945
  
4. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030020/d03002094.png ; $f ^ { * } N = O _ { X } \otimes _ { f } - 1 _ { O _ { Y } } f ^ { - 1 } N$ ; confidence 0.906
+
4. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032890/d03289066.png ; $s = - 2 \nu - \delta$ ; confidence 0.945
  
5. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023063.png ; $R = \sum _ { i = 0 } ^ { n - 1 } Z ^ { i } G J G ^ { * } Z ^ { * i } =$ ; confidence 0.906
+
5. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064430/m064430225.png ; $\operatorname { lm } A ( \tau )$ ; confidence 0.945
  
6. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041270/f04127050.png ; $x \in D ( A )$ ; confidence 0.906
+
6. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066480/n06648031.png ; $\phi _ { \alpha } ( f ) = w _ { \alpha }$ ; confidence 0.945
  
7. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043330/g04333080.png ; $\omega = 1 / c ^ { 2 }$ ; confidence 0.906
+
7. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073090/p07309060.png ; $R \times D$ ; confidence 0.945
  
8. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058360/l058360172.png ; $\mathfrak { A } ^ { - }$ ; confidence 0.906
+
8. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010163.png ; $( A ) = n < m$ ; confidence 0.944
  
9. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075650/p07565068.png ; $X \cap U = \{ x \in U : \phi ( x ) > 0 \}$ ; confidence 0.906
+
9. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010167.png ; $\operatorname { rank } ( A ) = m = n$ ; confidence 0.944
  
10. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081130/r08113085.png ; $c t ^ { \prime } = x ^ { \prime } \operatorname { sinh } \psi + c t \operatorname { cosh } \psi$ ; confidence 0.906
+
10. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010248.png ; $x ^ { ( i ) } \rightarrow x$ ; confidence 0.944
  
11. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120080/w12008025.png ; $W ( f \times g ) = W ( f ) . W ( g )$ ; confidence 0.906
+
11. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120010/b12001032.png ; $\frac { \partial v } { \partial t } - 6 v ^ { 2 } \frac { \partial v } { \partial x } + \frac { \partial ^ { 3 } v } { \partial x ^ { 3 } } = 0$ ; confidence 0.944
  
12. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240177.png ; $\alpha$ ; confidence 0.905
+
12. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024850/c02485065.png ; $A . B$ ; confidence 0.944
  
13. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060970/l0609706.png ; $\alpha = R \operatorname { ln } \operatorname { tan } ( \frac { \pi } { 4 } + \frac { u } { 2 R } )$ ; confidence 0.905
+
13. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048420/h048420118.png ; $F _ { j } ( z ) = \sum _ { k = 1 } ^ { N } G _ { j k } ( z )$ ; confidence 0.944
  
14. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066340/n06634043.png ; $\Sigma _ { n - 1 } ( x )$ ; confidence 0.905
+
14. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110070/k11007019.png ; $- w _ { 0 } ( \chi )$ ; confidence 0.944
  
15. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072510/p07251047.png ; $d y _ { 0 } - \sum _ { j = 1 } ^ { p } z _ { j } d y _ { j } = 0$ ; confidence 0.905
+
15. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057150/l05715026.png ; $\ddot { x } \square _ { \nu } = d \dot { x } \square _ { \nu } / d t$ ; confidence 0.944
  
16. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073090/p07309030.png ; $V \cap L$ ; confidence 0.905
+
16. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011033.png ; $S ( R ^ { n } ) \times S ( R ^ { n } )$ ; confidence 0.944
  
17. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081470/r081470221.png ; $\oplus R ( S _ { n } )$ ; confidence 0.905
+
17. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420120.png ; $y \in G ^ { + }$ ; confidence 0.943
  
18. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095290/u09529022.png ; $w = \operatorname { sin }$ ; confidence 0.905
+
18. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035810/e03581038.png ; $\Phi \Psi$ ; confidence 0.943
  
19. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013250/a01325046.png ; $0 \notin f ( \partial D )$ ; confidence 0.904
+
19. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040610/f04061036.png ; $C ^ { b r } ( E ^ { n } )$ ; confidence 0.943
  
20. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e12012065.png ; $\propto \| \Sigma \| ^ { - 1 / 2 } [ \nu + ( y - \mu ) ^ { T } \Sigma ^ { - 1 } ( y - \mu ) ] ^ { - ( \nu + p ) / 2 }$ ; confidence 0.904
+
20. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076430/q07643044.png ; $f \in W _ { 2 } ^ { 1 }$ ; confidence 0.943
  
21. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043290/g0432908.png ; $\alpha _ { k } = \frac { \Gamma ( \gamma + k + 1 ) } { \Gamma ( \gamma + 1 ) } \sqrt { \frac { \Gamma ( \alpha _ { 1 } + 1 ) \Gamma ( \alpha _ { 2 } + 1 ) } { \Gamma ( \alpha _ { 1 } + k + 1 ) \Gamma ( \alpha _ { 2 } + k + 1 ) } }$ ; confidence 0.904
+
21. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042084.png ; $x _ { 1 } , x _ { 2 } , y _ { 1 } , y _ { 2 } \in G$ ; confidence 0.943
  
22. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090760/s09076059.png ; $p ( \alpha )$ ; confidence 0.904
+
22. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240228.png ; $\zeta _ { 1 } = \ldots = \zeta _ { q } = 0$ ; confidence 0.942
  
23. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094600/t0946003.png ; $\alpha \geq A _ { 0 }$ ; confidence 0.904
+
23. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001075.png ; $s ^ { 2 }$ ; confidence 0.942
  
24. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022040/c02204033.png ; $h ^ { * } ( pt )$ ; confidence 0.903
+
24. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040390/f04039064.png ; $y ^ { i } C _ { i j k } = 0$ ; confidence 0.942
  
25. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035250/e035250143.png ; $\Delta \Delta w _ { 0 } = 0$ ; confidence 0.903
+
25. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087450/s087450112.png ; $\xi = \sum b _ { j } x ( t _ { j } )$ ; confidence 0.942
  
26. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050730/i05073087.png ; $\chi _ { \pi } ( g ) = \sum _ { \{ \delta : \delta y \in H \delta \} } \chi _ { \rho } ( \delta g \delta ^ { - 1 } )$ ; confidence 0.903
+
26. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080127.png ; $S _ { n } = s _ { n } + \theta ^ { 2 } F _ { n }$ ; confidence 0.942
  
27. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070040/o07004017.png ; $\operatorname { lim } \alpha / \beta = 0$ ; confidence 0.903
+
27. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031280/d031280173.png ; $R ^ { i } F = H ^ { i } \circ R ^ { * } F$ ; confidence 0.941
  
28. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130070/v13007046.png ; $q e ^ { ( - i \theta ) }$ ; confidence 0.903
+
28. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110220/h1102204.png ; $h : E ^ { m } \rightarrow R$ ; confidence 0.941
  
29. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240301.png ; $\hat { \eta } \Omega$ ; confidence 0.902
+
29. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120120/m120120128.png ; $C = Z ( Q )$ ; confidence 0.941
  
30. https://www.encyclopediaofmath.org/legacyimages/s/s110/s110330/s11033016.png ; $- 5 \rightarrow - 14 \rightarrow - 7 \rightarrow - 20 \rightarrow - 10 \rightarrow - 5$ ; confidence 0.902
+
30. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082500/r08250029.png ; $u _ { 0 } = A ^ { - 1 } f$ ; confidence 0.941
  
31. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010104.png ; $\operatorname { Sp } ( n + 1 ) / \operatorname { Sp } ( n ) , \quad \operatorname { Sp } ( n + 1 ) / \operatorname { Sp } ( n ) \times Z _ { 2 }$ ; confidence 0.901
+
31. https://www.encyclopediaofmath.org/legacyimages/s/s110/s110040/s11004082.png ; $\phi ( T _ { X } N ) \subset T _ { X } N$ ; confidence 0.941
  
32. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011520/a01152028.png ; $G _ { X } = \{ g \in G : g x = x \}$ ; confidence 0.901
+
32. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018048.png ; $A _ { x } = n$ ; confidence 0.941
  
33. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020740/c020740168.png ; $F ( 1 _ { A } ) = 1 _ { F A }$ ; confidence 0.901
+
33. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240546.png ; $7$ ; confidence 0.941
  
34. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067940/n06794014.png ; $N > 5$ ; confidence 0.901
+
34. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001034.png ; $SO ( 3 )$ ; confidence 0.940
  
35. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110130/b11013012.png ; $M _ { d } ^ { * } = M _ { d }$ ; confidence 0.900
+
35. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040080/f04008010.png ; $F ^ { * } ( \theta | x ) = 1 - F ( x | \theta )$ ; confidence 0.940
  
36. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015350/b015350300.png ; $\delta _ { i k } = 0$ ; confidence 0.900
+
36. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067860/n067860258.png ; $V \subset \rho U$ ; confidence 0.940
  
37. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016850/b01685023.png ; $E = \sum _ { i = 1 } ^ { M } \epsilon _ { i } N _ { i }$ ; confidence 0.900
+
37. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240465.png ; $( f ( t _ { 1 } ) , \ldots , f ( t _ { p } ) )$ ; confidence 0.940
  
38. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120060/e12006018.png ; $T p ( A _ { y } ) = A$ ; confidence 0.900
+
38. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024110/c02411026.png ; $d = ( d _ { n } )$ ; confidence 0.939
  
39. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020027.png ; $3$ ; confidence 0.899
+
39. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050770/i05077064.png ; $A = \operatorname { lim } _ { \rightarrow } F ( D )$ ; confidence 0.939
  
40. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011990/a0119906.png ; $\pi _ { k } ( x )$ ; confidence 0.899
+
40. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120260/s12026061.png ; $\partial _ { s }$ ; confidence 0.939
  
41. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033530/d03353048.png ; $\pi ( y ) - \operatorname { li } y > - M y \operatorname { log } ^ { - m } y$ ; confidence 0.899
+
41. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024073.png ; $\omega P _ { i } P _ { j }$ ; confidence 0.938
  
42. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035360/e03536067.png ; $\langle P ^ { ( 2 ) } \rangle$ ; confidence 0.899
+
42. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130220/b13022030.png ; $L _ { p } ( T )$ ; confidence 0.938
  
43. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058360/l058360168.png ; $x$ ; confidence 0.899
+
43. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081770/r08177046.png ; $x ^ { T } ( t _ { 1 } ) \Phi x ( t _ { 1 } ) + \int _ { t _ { 0 } } ^ { t _ { 1 } } [ x ^ { T } ( t ) M ( t ) x ( t ) + u ^ { T } ( t ) N ( t ) u ( t ) ] d t$ ; confidence 0.938
  
44. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w12007015.png ; $q$ ; confidence 0.899
+
44. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001063.png ; $| \delta x | \leq | A ^ { - 1 } \delta A | | x | + | A ^ { - 1 } \delta A | | \delta x | + | A ^ { - 1 } \delta b |$ ; confidence 0.937
  
45. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420160.png ; $K _ { 0 } ( B ) = Z + \theta Z$ ; confidence 0.898
+
45. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b0153903.png ; $( \Theta , B _ { \Theta } )$ ; confidence 0.937
  
46. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120040/c12004049.png ; $f \in H _ { c } ( D )$ ; confidence 0.898
+
46. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010141.png ; $7$ ; confidence 0.937
  
47. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046280/h04628059.png ; $x ^ { ( 1 ) } = x ^ { ( 1 ) } ( t )$ ; confidence 0.898
+
47. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044970/g04497028.png ; $E ^ { n } \times R$ ; confidence 0.937
  
48. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082430/r0824307.png ; $I ( A ) = \operatorname { Ker } ( \epsilon )$ ; confidence 0.898
+
48. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070290/o07029017.png ; $\Delta = \alpha _ { 2 } c ( b ) - \beta _ { 2 } s ( b ) \neq 0$ ; confidence 0.937
  
49. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120140/w12014036.png ; $S \square T$ ; confidence 0.898
+
49. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072950/p07295010.png ; $w ( z ) = \int _ { \gamma } ( t - z ) ^ { \mu + n - 1 } u ( t ) d t$ ; confidence 0.937
  
50. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020550/c02055049.png ; $1$ ; confidence 0.897
+
50. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075800/p07580013.png ; $\square ^ { n - 1 } R _ { n }$ ; confidence 0.937
  
51. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120080/f120080135.png ; $\Lambda _ { G } = 1$ ; confidence 0.897
+
51. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082040/r08204012.png ; $a _ { 0 } ( z ) \neq 0$ ; confidence 0.937
  
52. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o13006047.png ; $\frac { 1 } { i } ( A _ { k } - A _ { k } ^ { * } ) = \Phi ^ { * } \sigma _ { k } \Phi$ ; confidence 0.897
+
52. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024025.png ; $y , \beta , e$ ; confidence 0.936
  
53. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013035.png ; $Q _ { 0 } = P _ { 0 }$ ; confidence 0.896
+
53. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420154.png ; $K _ { 0 }$ ; confidence 0.936
  
54. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051130/i05113068.png ; $\overline { \rho } _ { L }$ ; confidence 0.896
+
54. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040196.png ; $\varphi _ { L } : A \rightarrow P ^ { 4 }$ ; confidence 0.936
  
55. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086940/s086940114.png ; $\operatorname { det } S \neq 0$ ; confidence 0.896
+
55. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020650/c0206506.png ; $1 / \mu = d S / d \sigma$ ; confidence 0.936
  
56. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300106.png ; $B$ ; confidence 0.895
+
56. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120270/c1202706.png ; $t \mapsto \gamma ( t ) = \operatorname { exp } _ { p } ( t v )$ ; confidence 0.936
  
57. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240106.png ; $t$ ; confidence 0.895
+
57. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064990/m06499012.png ; $f : M \rightarrow R$ ; confidence 0.936
  
58. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120160/b12016030.png ; $x _ { i } ^ { \prime \prime } = x _ { i } ^ { \prime }$ ; confidence 0.895
+
58. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o13001044.png ; $F : L ^ { 2 } ( D ^ { \prime } ) \rightarrow L ^ { 2 } ( R ^ { 3 } )$ ; confidence 0.936
  
59. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g043810179.png ; $\alpha f \in D ^ { \prime } ( O )$ ; confidence 0.895
+
59. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070010/o07001011.png ; $G / G _ { X }$ ; confidence 0.936
  
60. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047380/h047380204.png ; $\sum _ { \nu \in A } \| x _ { \nu } \| ^ { 2 } < \infty$ ; confidence 0.895
+
60. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120080/t12008015.png ; $O _ { S } ^ { * }$ ; confidence 0.936
  
61. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051620/i05162045.png ; $\Gamma ( z ) = \frac { 1 } { e ^ { 2 i \pi z } - 1 } \int _ { L _ { 1 } } \zeta ^ { z - 1 } e ^ { - \zeta } d \zeta$ ; confidence 0.895
+
61. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096670/v09667018.png ; $P ^ { 2 r - k }$ ; confidence 0.936
  
62. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085810/s0858103.png ; $\phi : U \rightarrow \sum _ { i \in I } U _ { l }$ ; confidence 0.895
+
62. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010218.png ; $| \delta \lambda _ { i } | / \| \delta A \|$ ; confidence 0.936
  
63. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110192.png ; $X \in \Phi$ ; confidence 0.895
+
63. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240403.png ; $SS _ { e }$ ; confidence 0.936
  
64. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022022.png ; $Y$ ; confidence 0.894
+
64. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001088.png ; $\leq \frac { \| B r \| } { 1 - \| I - B A \| }$ ; confidence 0.935
  
65. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016019.png ; $x _ { k + 1 } = M ^ { - 1 } ( N x _ { k } + b )$ ; confidence 0.894
+
65. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130150/c1301504.png ; $C ^ { \infty } ( D ( \Omega ) )$ ; confidence 0.935
  
66. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014310/a01431027.png ; $\exists x A$ ; confidence 0.894
+
66. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073330/p07333012.png ; $d S _ { n }$ ; confidence 0.935
  
67. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110480/c11048046.png ; $D ^ { \perp }$ ; confidence 0.893
+
67. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024059.png ; $( i , j )$ ; confidence 0.935
  
68. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110070/e110070191.png ; $f ^ { \prime } ( 1 ) = \prod _ { n > 0 } ( \frac { 1 - q ^ { 2 n } } { 1 + q ^ { 2 n } } ) ^ { 2 }$ ; confidence 0.893
+
68. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018021.png ; $20$ ; confidence 0.935
  
69. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780356.png ; $\Omega$ ; confidence 0.892
+
69. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020230/c02023043.png ; $X \backslash K _ { X }$ ; confidence 0.934
  
70. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024900/c02490030.png ; $q = p ^ { r }$ ; confidence 0.892
+
70. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120300/d1203009.png ; $Y ( t ) \in R ^ { m }$ ; confidence 0.934
  
71. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023061.png ; $L \mapsto E ( L )$ ; confidence 0.892
+
71. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040850/f040850122.png ; $A \rightarrow w$ ; confidence 0.934
  
72. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048440/h0484406.png ; $w = z ^ { - \gamma / 2 } ( z - 1 ) ^ { ( \gamma - \alpha - \beta - 1 ) / 2 } u$ ; confidence 0.892
+
72. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044350/g04435074.png ; $d ( \Lambda ) = \Delta ( \mathfrak { M } )$ ; confidence 0.934
  
73. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059490/l05949032.png ; $\alpha ^ { ( 0 ) }$ ; confidence 0.892
+
73. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110200/h11020058.png ; $\Psi ( y _ { n } ) \subseteq \Psi ( y _ { 0 } )$ ; confidence 0.934
  
74. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064250/m064250151.png ; $\tau \cup A C \cup B C$ ; confidence 0.892
+
74. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060830/l06083045.png ; $b \in Q$ ; confidence 0.934
  
75. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086160/s0861605.png ; $J _ { m + n + 1 } ( x ) =$ ; confidence 0.892
+
75. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024032.png ; $m \times p$ ; confidence 0.934
  
76. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024051.png ; $3$ ; confidence 0.891
+
76. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013054.png ; $t _ { n }$ ; confidence 0.933
  
77. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017290/b01729042.png ; $\partial M _ { A } \subset X \subset M _ { A }$ ; confidence 0.891
+
77. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026870/c026870129.png ; $( \nabla _ { X } U ) _ { p }$ ; confidence 0.933
  
78. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024780/c024780261.png ; $( x ^ { 2 } / a ^ { 2 } ) + ( y ^ { 2 } / b ^ { 2 } ) = 1$ ; confidence 0.891
+
78. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032060/d03206019.png ; $\sum _ { n = 1 } ^ { \infty } | x _ { n } ( t ) |$ ; confidence 0.933
  
79. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040580/f04058050.png ; $\frac { | \sigma _ { i } | } { ( \operatorname { diam } \sigma _ { i } ) ^ { n } } \geq \eta$ ; confidence 0.891
+
79. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120030/k12003036.png ; $F _ { M } : G \rightarrow C ^ { * }$ ; confidence 0.933
  
80. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120090/k12009012.png ; $= \frac { 2 } { \pi ^ { 2 } x _ { 0 } } \int _ { 0 } ^ { \infty } K _ { i \tau } ( x _ { 0 } ) \tau \operatorname { sinh } ( \pi \tau ) F ( \tau ) d \tau$ ; confidence 0.890
+
80. https://www.encyclopediaofmath.org/legacyimages/o/o120/o120020/o1200204.png ; $\alpha = 1 / 2$ ; confidence 0.933
  
81. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420126.png ; $K _ { 0 } ( \tau ) ( [ p ] _ { 0 } - [ q ] _ { 0 } ) = \tau ( p ) - \tau ( q )$ ; confidence 0.889
+
81. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087780/s08778069.png ; $x [ M ^ { n } ] = \alpha ( x )$ ; confidence 0.933
  
82. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013047.png ; $i$ ; confidence 0.889
+
82. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021061.png ; $\omega ^ { \prime } = \omega - A _ { 1 } \phi _ { 1 } - \ldots - A _ { g } \phi _ { g }$ ; confidence 0.932
  
83. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600128.png ; $f _ { 1 } = \ldots = f _ { m }$ ; confidence 0.889
+
83. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001038.png ; $\eta ^ { \alpha } ( Y ) = g ( \xi ^ { \alpha } , Y )$ ; confidence 0.932
  
84. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085210/s08521071.png ; $\square ^ { 2 } F _ { 4 } ( q ) ^ { \prime }$ ; confidence 0.889
+
84. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013046.png ; $\frac { \partial } { \partial t _ { k } } F _ { i j } = \frac { \partial } { \partial t _ { i } } F _ { j k }$ ; confidence 0.932
  
85. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027240/c02724015.png ; $x ^ { 3 } + y ^ { 3 } - 3 a x y = 0$ ; confidence 0.887
+
85. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020950/c0209509.png ; $u ( x _ { 0 } ) = u _ { 0 }$ ; confidence 0.932
  
86. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063140/m06314012.png ; $- \frac { \partial D } { \partial t } + \operatorname { rot } H = J$ ; confidence 0.887
+
86. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130040/r13004063.png ; $u _ { 1 } = | \frac { \partial u } { \partial n } | = 0$ ; confidence 0.932
  
87. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072370/p07237060.png ; $\overline { \Omega } _ { k } \subset \Omega _ { k + 1 }$ ; confidence 0.887
+
87. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130130/r13013012.png ; $P _ { \sigma } = \frac { 1 } { 2 \pi i } \int _ { \Gamma } ( \lambda - A ) ^ { - 1 } d \lambda$ ; confidence 0.932
  
88. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076820/q076820220.png ; $E \theta ( t ) \theta ( t + u ) = \int _ { 0 } F ( t + u - v ) ( 1 - G ( t - v ) ) d m ( v )$ ; confidence 0.887
+
88. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091390/s0913909.png ; $\frac { x ^ { 2 } } { p } - \frac { y ^ { 2 } } { q } = 2 z$ ; confidence 0.932
  
89. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096870/v09687032.png ; $\tau _ { j } < 0$ ; confidence 0.887
+
89. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t12005046.png ; $d f _ { x } : R ^ { n } \rightarrow R ^ { p }$ ; confidence 0.932
  
90. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011079.png ; $A ^ { * } \sigma A = \sigma$ ; confidence 0.887
+
90. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110160/b11016019.png ; $f ( x ) = a x + b$ ; confidence 0.931
  
91. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b01747034.png ; $( i i + 1 )$ ; confidence 0.886
+
91. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110330/c1103309.png ; $p _ { i } \in S$ ; confidence 0.931
  
92. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120110/m12011054.png ; $\pi _ { 1 } ( M ) \neq Z _ { 2 }$ ; confidence 0.886
+
92. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091100/s0911009.png ; $\lambda _ { n } = 1 / ( n + 1 ) ^ { s }$ ; confidence 0.931
  
93. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075350/p075350108.png ; $P _ { n } ( R )$ ; confidence 0.886
+
93. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150306.png ; $= C$ ; confidence 0.931
  
94. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096650/v0966506.png ; $n \geq 12$ ; confidence 0.886
+
94. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001077.png ; $\delta x = A ^ { - 1 } r$ ; confidence 0.931
  
95. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539036.png ; $\int _ { \Theta } L ( \theta , d ) \frac { p ( x | \theta ) \pi ( \theta ) } { p ( x ) } d \nu ( \theta ) = E [ L ( \theta , d ) | x ]$ ; confidence 0.885
+
95. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010640/a01064020.png ; $d ( m )$ ; confidence 0.930
  
96. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001030.png ; $5$ ; confidence 0.885
+
96. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021720/c02172031.png ; $b _ { k } ^ { \prime } = ( - 1 ) ^ { k + 1 } b _ { k }$ ; confidence 0.930
  
97. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110150/f11015067.png ; $t \subset v$ ; confidence 0.885
+
97. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023890/c02389043.png ; $\{ d F _ { i } \} _ { 1 } ^ { m }$ ; confidence 0.930
  
98. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097910/w09791036.png ; $L _ { - } ( \lambda ) C ( \lambda ) / B ( \lambda )$ ; confidence 0.885
+
98. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047740/h04774059.png ; $0 \rightarrow A ^ { \prime } \rightarrow A \rightarrow A ^ { \prime \prime } \rightarrow 0$ ; confidence 0.930
  
99. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240334.png ; $\Gamma = B X$ ; confidence 0.884
+
99. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110110/m11011038.png ; $\square _ { q } F _ { p - 1 }$ ; confidence 0.930
  
100. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240239.png ; $MS _ { e }$ ; confidence 0.884
+
100. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110130/m11013015.png ; $E S$ ; confidence 0.930
  
101. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110170/c11017044.png ; $C \rho _ { p } C ^ { \prime }$ ; confidence 0.884
+
101. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064190/m064190102.png ; $u | _ { \Gamma } = \psi$ ; confidence 0.930
  
102. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120190/c12019044.png ; $T ( M )$ ; confidence 0.884
+
102. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094530/t094530109.png ; $\sum ( k _ { i } - 1 )$ ; confidence 0.930
  
103. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057610/l05761045.png ; $m < n ^ { ( 1 / 3 ) - \delta }$ ; confidence 0.883
+
103. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130100/z13010033.png ; $\forall y ( \neg y \in x )$ ; confidence 0.930
  
104. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130180/m130180141.png ; $H _ { n - 2 }$ ; confidence 0.883
+
104. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a1202208.png ; $| x | | \leq 1$ ; confidence 0.929
  
105. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780207.png ; $e ^ { x _ { i } } - 1$ ; confidence 0.882
+
105. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008058.png ; $X \leftarrow m + s ( U _ { 1 } + U _ { 2 } - 1 )$ ; confidence 0.929
  
106. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026910/c02691013.png ; $\Gamma ( C ) = V$ ; confidence 0.882
+
106. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081460/r081460129.png ; $V _ { \lambda } ^ { 0 } \subset V _ { \lambda }$ ; confidence 0.929
  
107. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650262.png ; $K ( T M ^ { g } ) \otimes C \rightarrow C$ ; confidence 0.882
+
107. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120190/w12019047.png ; $P = - i \hbar \nabla _ { x }$ ; confidence 0.929
  
108. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110140/l11014038.png ; $\epsilon$ ; confidence 0.882
+
108. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240374.png ; $F = Z _ { 1 } M _ { E } ^ { - 1 } Z _ { 1 } ^ { \prime }$ ; confidence 0.929
  
109. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120040/s120040132.png ; $\lambda ^ { s _ { \mu } } = \sum _ { \nu } c _ { \lambda \mu } ^ { \nu } s _ { \nu }$ ; confidence 0.882
+
109. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021044.png ; $B _ { i j } = \int _ { b _ { j } } \phi _ { i }$ ; confidence 0.928
  
110. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120280/a120280141.png ; $S _ { E } = \{ \omega \in \hat { G } : E + \omega \subseteq E \}$ ; confidence 0.881
+
110. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001015.png ; $x$ ; confidence 0.928
  
111. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048420/h0484203.png ; $F _ { + } ( x + i 0 ) - F _ { - } ( x - i 0 )$ ; confidence 0.881
+
111. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110490/b1104909.png ; $P _ { 1 }$ ; confidence 0.928
  
112. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081600/r08160033.png ; $y _ { 2 } = ( x _ { 1 } + x _ { 3 } ) ( x _ { 2 } + x _ { 4 } )$ ; confidence 0.881
+
112. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080060/r080060177.png ; $\{ r _ { n } + r _ { n } ^ { \prime } \}$ ; confidence 0.928
  
113. https://www.encyclopediaofmath.org/legacyimages/y/y099/y099070/y09907014.png ; $t _ { \lambda } ^ { \prime }$ ; confidence 0.881
+
113. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093230/t09323071.png ; $X \rightarrow P L / O$ ; confidence 0.928
  
114. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539044.png ; $i , j = 1,2$ ; confidence 0.881
+
114. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010284.png ; $C u = \lambda B u$ ; confidence 0.927
  
115. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032600/d032600176.png ; $w _ { N } ( \alpha ) \geq n$ ; confidence 0.879
+
115. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021038.png ; $\delta _ { i i } = 1$ ; confidence 0.927
  
116. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025170/c02517037.png ; $\omega ^ { k } = d x ^ { k }$ ; confidence 0.878
+
116. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065300/m06530022.png ; $\otimes _ { i = 1 } ^ { n } E _ { i } \rightarrow F$ ; confidence 0.927
  
117. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026460/c0264605.png ; $\alpha _ { i } < b _ { i }$ ; confidence 0.878
+
117. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055520/k055520124.png ; $\frac { 1 } { 2 \pi } \{ \text { hyperbolic area of } \Omega \backslash \Gamma \} \leq 2 ( N - 1 )$ ; confidence 0.926
  
118. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120060/l12006098.png ; $H \phi$ ; confidence 0.878
+
118. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130620/s13062062.png ; $m _ { 0 } ( \lambda ) = A + \int _ { - \infty } ^ { \infty } ( \frac { 1 } { t - \lambda } - \frac { t } { t ^ { 2 } + 1 } ) d \rho _ { 0 } ( t )$ ; confidence 0.926
  
119. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093990/t09399044.png ; $Q _ { 1 } \cup \square \ldots \cup Q _ { m }$ ; confidence 0.878
+
119. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067430/n06743015.png ; $\sum _ { k = 1 } ^ { \infty } \| u _ { k } \| = \sum _ { k = 1 } ^ { \infty } 1 / k$ ; confidence 0.925
  
120. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026970/c02697049.png ; $| w | < 1 / 16$ ; confidence 0.877
+
120. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076820/q076820199.png ; $f ( \xi _ { T } ( t ) )$ ; confidence 0.925
  
121. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042210/f04221056.png ; $e _ { \lambda } ^ { 1 } \in X$ ; confidence 0.877
+
121. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010156.png ; $\delta x = [ ( A + \delta A ) ^ { + } - A ^ { + } ] b + ( A + \delta A ) ^ { + } \delta b$ ; confidence 0.924
  
122. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064430/m06443090.png ; $B O$ ; confidence 0.877
+
122. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021037.png ; $A _ { j } = \int _ { \alpha _ { j } } \phi _ { i } = \delta _ { i j }$ ; confidence 0.924
  
123. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520250.png ; $d j \neq 0$ ; confidence 0.877
+
123. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420150.png ; $K _ { 0 } ( \varphi )$ ; confidence 0.924
  
124. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043620/g0436207.png ; $R [ F ( t ) ] = ( 1 - t ^ { 2 } ) F ^ { \prime \prime } - ( 2 \rho - 1 ) t F ^ { \prime \prime }$ ; confidence 0.876
+
124. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022330/c0223301.png ; $a ( r )$ ; confidence 0.924
  
125. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012069.png ; $p ^ { * } y \leq \lambda ^ { * } p ^ { * } x$ ; confidence 0.875
+
125. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043280/g04328069.png ; $H _ { i } ( x ^ { \prime } ) > H _ { i } ( x ^ { \prime \prime } )$ ; confidence 0.924
  
126. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600189.png ; $( K / k )$ ; confidence 0.875
+
126. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062560/m06256075.png ; $K _ { y } ^ { \alpha }$ ; confidence 0.924
  
127. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035250/e03525091.png ; $z _ { k } \in L$ ; confidence 0.875
+
127. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001075.png ; $r = A x - b$ ; confidence 0.924
  
128. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i130090231.png ; $( X ^ { \omega } \chi ^ { - 1 } ) = \pi ^ { \mu _ { \chi } ^ { * } } g _ { \chi } ^ { * } ( T )$ ; confidence 0.875
+
128. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240497.png ; $\beta _ { 11 } = \beta _ { 21 }$ ; confidence 0.923
  
129. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058820/l058820374.png ; $\tau = \{ t _ { i } \} _ { i = 0 } ^ { i = n }$ ; confidence 0.875
+
129. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420134.png ; $K _ { 0 } ( I ) \rightarrow K _ { 0 } ( A )$ ; confidence 0.923
  
130. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060770/l0607706.png ; $\operatorname { inv } ( x )$ ; confidence 0.875
+
130. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046010/h046010125.png ; $M _ { 2 } \times S ^ { N }$ ; confidence 0.923
  
131. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093900/t09390073.png ; $g _ { n } ( \Omega )$ ; confidence 0.875
+
131. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048190/h0481908.png ; $\nu = 0$ ; confidence 0.923
  
132. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013039.png ; $Q = \sum _ { j = 0 } ^ { \infty } Q _ { j } z ^ { - j } , Q _ { j } = \left( \begin{array} { c c } { h _ { j } } & { e _ { j } } \\ { f _ { j } } & { - h _ { j } } \end{array} \right)$ ; confidence 0.875
+
132. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130070/j13007031.png ; $L = \angle \operatorname { lim } _ { z \rightarrow \omega } f ( z )$ ; confidence 0.923
  
133. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064440/m06444056.png ; $c = 0$ ; confidence 0.874
+
133. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017067.png ; $I$ ; confidence 0.923
  
134. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085830/s08583016.png ; $| w | = \rho < 1$ ; confidence 0.874
+
134. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085560/s0855608.png ; $| \sigma ^ { n } |$ ; confidence 0.923
  
135. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240408.png ; $y _ { i j k }$ ; confidence 0.873
+
135. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090170/s09017045.png ; $E$ ; confidence 0.923
  
136. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013000/a01300057.png ; $L _ { p } ( E )$ ; confidence 0.872
+
136. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150395.png ; $A \wedge B$ ; confidence 0.923
  
137. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l058590134.png ; $S \cap R ( G ) = ( e )$ ; confidence 0.872
+
137. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001053.png ; $A = \left( \begin{array} { c c } { 10 ^ { 5 } } & { 0 } \\ { 0 } & { 10 ^ { - 5 } } \end{array} \right)$ ; confidence 0.923
  
138. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t1200107.png ; $m = 2 i + 1$ ; confidence 0.871
+
138. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110420/b11042025.png ; $V _ { k } \varphi ( x ) = \varphi ( x - h )$ ; confidence 0.922
  
139. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110330/b11033038.png ; $P ^ { \prime }$ ; confidence 0.871
+
139. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780128.png ; $\Omega _ { fr } ^ { - i } = \Omega _ { i } ^ { fr } = \pi _ { i + N } ( S ^ { N } )$ ; confidence 0.922
  
140. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051930/i051930181.png ; $Y = C$ ; confidence 0.871
+
140. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110160/f110160161.png ; $\mathfrak { A } \sim _ { l } \mathfrak { B }$ ; confidence 0.922
  
141. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110690/b11069080.png ; $M _ { A g }$ ; confidence 0.870
+
141. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a1100101.png ; $f ( \alpha , x ) = 0$ ; confidence 0.922
  
142. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130180/d13018035.png ; $\| \hat { f } \| = \| f \| _ { 1 }$ ; confidence 0.870
+
142. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240484.png ; $\beta _ { i 0 } + \beta _ { i 1 } t + \ldots + \beta _ { i k } t ^ { k }$ ; confidence 0.922
  
143. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065570/m06557014.png ; $L _ { \cap } \Gamma = 0$ ; confidence 0.870
+
143. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110610/a110610104.png ; $Z = \int _ { A } D A \sqrt { \operatorname { det } ( / \partial _ { A } ^ { * } / \partial _ { A } ) } \operatorname { exp } [ - \| F \| ^ { 2 } ]$ ; confidence 0.921
  
144. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087350/s08735095.png ; $I _ { n } ( \theta ) = n I ( \theta )$ ; confidence 0.870
+
144. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034280/d03428088.png ; $S _ { g } ( w _ { 0 } )$ ; confidence 0.921
  
145. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001011.png ; $\xi = I ( \partial _ { r } )$ ; confidence 0.869
+
145. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051360/i0513609.png ; $\int f _ { 1 } ( x ) d x \quad \text { and } \quad \int f _ { 2 } ( x ) d x$ ; confidence 0.921
  
146. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013076.png ; $P ^ { ( l ) }$ ; confidence 0.869
+
146. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110160/l11016049.png ; $n ^ { O ( n ) } M ^ { O ( 1 ) }$ ; confidence 0.921
  
147. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110570/b11057061.png ; $H _ { m }$ ; confidence 0.869
+
147. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010124.png ; $b _ { 2 } i + 1 ( S ) = 0$ ; confidence 0.920
  
148. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026040/c02604071.png ; $A _ { n } x _ { n } = y _ { n }$ ; confidence 0.869
+
148. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017290/b0172908.png ; $\Gamma \subset M _ { A }$ ; confidence 0.920
  
149. https://www.encyclopediaofmath.org/legacyimages/w/w098/w098160/w09816057.png ; $Y \times X$ ; confidence 0.869
+
149. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035760/e0357604.png ; $f : W \rightarrow R$ ; confidence 0.920
  
150. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240209.png ; $S$ ; confidence 0.868
+
150. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110150/p1101505.png ; $x \preceq y \Rightarrow z x t \preceq x y t$ ; confidence 0.920
  
151. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120160/m12016065.png ; $\Omega _ { p _ { 1 } n _ { 1 } } ( t ^ { \prime } t ^ { \prime } )$ ; confidence 0.868
+
151. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031250/d03125086.png ; $\Omega _ { X / Y } ^ { 1 }$ ; confidence 0.919
  
152. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073700/p073700205.png ; $l _ { n } = \# \{ s \in S : d ( s ) = n \}$ ; confidence 0.868
+
152. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036840/e03684025.png ; $A = \operatorname { lim } _ { n \rightarrow \infty } C _ { n } = ( 1 + \frac { 1 } { 4 } + \frac { 1 } { 16 } + \ldots ) C _ { 1 } = \frac { 4 } { 3 } C _ { 1 }$ ; confidence 0.919
  
153. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650145.png ; $\phi * : H ^ { * } ( B / S ) = H ^ { * } ( T M ) \rightarrow H ^ { * } ( M )$ ; confidence 0.867
+
153. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057150/l05715028.png ; $3 N + k + m$ ; confidence 0.919
  
154. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l05700011.png ; $M N$ ; confidence 0.867
+
154. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110120/p110120428.png ; $P _ { n } ( f )$ ; confidence 0.919
  
155. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059350/l05935013.png ; $x ^ { ( n ) } + \alpha _ { 1 } ( t ) x ^ { ( n - 1 ) } + \ldots + \alpha _ { n } ( t ) x = 0$ ; confidence 0.867
+
155. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006058.png ; $N \geq Z$ ; confidence 0.919
  
156. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042095.png ; $C ^ { * }$ ; confidence 0.866
+
156. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010131.png ; $\epsilon A _ { 1 }$ ; confidence 0.919
  
157. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130130/d1301309.png ; $z = r \operatorname { cos } \theta$ ; confidence 0.866
+
157. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210115.png ; $\alpha$ ; confidence 0.918
  
158. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110230/d11023041.png ; $K = \overline { K } \cap L _ { m } ( G )$ ; confidence 0.866
+
158. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013180/a013180158.png ; $\| T _ { M } \|$ ; confidence 0.918
  
159. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036770/e03677067.png ; $\phi ^ { - 1 } ( b ) \cong P ^ { \prime } ( C )$ ; confidence 0.866
+
159. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110130/c11013026.png ; $f \in C ^ { k }$ ; confidence 0.918
  
160. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e03696065.png ; $y _ { j } \delta \theta$ ; confidence 0.866
+
160. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026480/c0264808.png ; $\alpha _ { i } : A _ { i } \rightarrow X$ ; confidence 0.918
  
161. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075350/p07535088.png ; $P _ { s } ^ { l } ( k )$ ; confidence 0.866
+
161. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031930/d031930232.png ; $= \Phi ( z ) \operatorname { exp } \{ \frac { z - t } { \pi } \int \int _ { S } \frac { A ( \zeta ) w ( \zeta ) + B ( \zeta ) \overline { w ( \zeta ) } } { ( \zeta - z ) ( \zeta - t ) w } d \xi d \eta \}$ ; confidence 0.918
  
162. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s1202309.png ; $O ( r )$ ; confidence 0.866
+
162. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038220/f0382203.png ; $K _ { X } ^ { - 1 }$ ; confidence 0.918
  
163. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063920/m063920116.png ; $\int \int K d S$ ; confidence 0.865
+
163. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080020/r080020171.png ; $P - N \equiv ( \frac { m _ { 1 } } { 2 } ) ^ { 2 } \pm 1 \operatorname { mod } 8$ ; confidence 0.918
  
164. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240240.png ; $\sigma ^ { 2 }$ ; confidence 0.864
+
164. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001026.png ; $\| A ^ { - 1 } \delta A \| < 1$ ; confidence 0.918
  
165. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110380/b11038070.png ; $\Theta f$ ; confidence 0.864
+
165. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240506.png ; $Z _ { 32 } , Z _ { 33 }$ ; confidence 0.917
  
166. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041250/f0412506.png ; $\infty \rightarrow \alpha / c$ ; confidence 0.864
+
166. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240518.png ; $Z _ { 12 }$ ; confidence 0.917
  
167. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063590/m06359074.png ; $F \mapsto F ( P )$ ; confidence 0.864
+
167. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120270/b12027050.png ; $U ( t ) = \sum _ { 1 } ^ { \infty } P ( S _ { k } \leq t ) = \sum _ { 1 } ^ { \infty } F ^ { ( k ) } ( t )$ ; confidence 0.917
  
168. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510139.png ; $L \subset Z ^ { 0 }$ ; confidence 0.864
+
168. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016970/b01697035.png ; $t _ { f } ( n )$ ; confidence 0.917
  
169. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087320/s08732031.png ; $\Pi ^ { * } \in C$ ; confidence 0.864
+
169. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032450/d032450444.png ; $X _ { 1 } \cup X _ { 2 } = X$ ; confidence 0.917
  
170. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093770/t09377039.png ; $g = R ^ { \alpha } f$ ; confidence 0.864
+
170. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020069.png ; $Q : \mathfrak { A } / \mathfrak { A } _ { 1 } \rightarrow \mathfrak { A }$ ; confidence 0.917
  
171. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022013.png ; $T : X \rightarrow Y$ ; confidence 0.863
+
171. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010109.png ; $m > 3$ ; confidence 0.916
  
172. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005085.png ; $0 \leq t _ { 1 } \leq \ldots \leq t _ { k } \leq T$ ; confidence 0.863
+
172. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010133.png ; $S ( p ) = U ( 1 ) _ { p } \backslash U ( n + 2 ) / U ( n )$ ; confidence 0.916
  
173. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c02278058.png ; $O ( X ) = \oplus _ { n = - \infty } ^ { + \infty } O ^ { n } ( X )$ ; confidence 0.863
+
173. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023620/c0236203.png ; $| \alpha ( z ) |$ ; confidence 0.916
  
174. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590370.png ; $x _ { 0 } ^ { 2 } + \ldots + x _ { n } ^ { 2 } = 0$ ; confidence 0.863
+
174. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054070/j05407010.png ; $w _ { 1 } = w _ { 1 } ( z _ { 1 } )$ ; confidence 0.916
  
175. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013250/a01325015.png ; $\operatorname { arg } f$ ; confidence 0.862
+
175. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110960/b11096026.png ; $\nu : Z ( K ) \rightarrow V \subset \operatorname { Aff } ( A )$ ; confidence 0.915
  
176. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055480/k05548036.png ; $\| g _ { \alpha \beta } \|$ ; confidence 0.862
+
176. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025440/c02544057.png ; $\forall x \in D _ { k } : \mu _ { k } \Delta u + ( \lambda _ { k } + \mu _ { k } ) \text { grad div } u = 0$ ; confidence 0.915
  
177. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072210/p07221037.png ; $F ^ { k }$ ; confidence 0.862
+
177. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046600/h0466006.png ; $\{ x : | x - y | < r \}$ ; confidence 0.915
  
178. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093330/t09333059.png ; $r _ { 2 } \in R$ ; confidence 0.862
+
178. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057780/l057780212.png ; $31$ ; confidence 0.915
  
179. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081430/r08143081.png ; $e X$ ; confidence 0.861
+
179. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021045.png ; $( \operatorname { Im } B _ { i j } )$ ; confidence 0.915
  
180. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026980/c02698053.png ; $E _ { 8 }$ ; confidence 0.860
+
180. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022011.png ; $X = 1 ^ { p }$ ; confidence 0.914
  
181. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066520/n06652019.png ; $\epsilon < \epsilon ^ { \prime } < \ldots$ ; confidence 0.860
+
181. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240328.png ; $H : X _ { 3 } B X _ { 4 } = 0$ ; confidence 0.914
  
182. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097670/w097670169.png ; $\operatorname { gr } ( A _ { 1 } ( K ) )$ ; confidence 0.860
+
182. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120370/b12037030.png ; $h \in \Omega$ ; confidence 0.914
  
183. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040106.png ; $L ] = \lambda$ ; confidence 0.859
+
183. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b01747053.png ; $\Pi ^ { \prime \prime }$ ; confidence 0.914
  
184. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017800/b01780053.png ; $n = p$ ; confidence 0.858
+
184. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120020/e12002045.png ; $T$ ; confidence 0.914
  
185. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025470/c02547063.png ; $\alpha = d t + \sum p _ { i } d q _ { i }$ ; confidence 0.858
+
185. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120150/e12015064.png ; $P _ { 1 } ^ { 1 } = \frac { 1 } { 4 } p ^ { 2 } + \frac { 1 } { 2 } \dot { p } - q = I$ ; confidence 0.914
  
186. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130020/e13002010.png ; $\varphi$ ; confidence 0.858
+
186. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043350/g04335040.png ; $\frac { \pi \psi } { Q } = - \theta - \sum _ { n = 1 } ^ { \infty } \frac { 1 } { n } ( \frac { \tau } { \tau _ { 0 } } ) ^ { n } \frac { y _ { n } ( \tau ) } { y _ { n } ( \tau _ { 0 } ) } \operatorname { sin } 2 n \theta$ ; confidence 0.914
  
187. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063920/m063920117.png ; $\int \int K d S \leq 2 \pi ( \chi - k )$ ; confidence 0.858
+
187. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082110/r0821106.png ; $d s ^ { 2 } = g _ { j } \omega ^ { i } \omega ^ { j }$ ; confidence 0.914
  
188. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082570/r08257030.png ; $j 2 ^ { - k - l }$ ; confidence 0.858
+
188. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210101.png ; $A _ { k } , B _ { k }$ ; confidence 0.914
  
189. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a1301304.png ; $8$ ; confidence 0.857
+
189. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024730/c02473061.png ; $\Omega ^ { \prime } = \| \Omega _ { \alpha } ^ { \prime \beta } \|$ ; confidence 0.913
  
190. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240354.png ; $E ( Z _ { 2 } )$ ; confidence 0.857
+
190. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043470/g04347036.png ; $0 \rightarrow \phi ^ { 1 } / \phi ^ { 2 } \rightarrow \phi ^ { 0 } / \phi ^ { 2 } \rightarrow \phi ^ { 0 } / \phi ^ { 1 } \rightarrow 0$ ; confidence 0.913
  
191. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036910/e03691052.png ; $z = \operatorname { ln } \alpha = \operatorname { ln } | \alpha | + i \operatorname { Arg } \alpha$ ; confidence 0.857
+
191. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001051.png ; $| A |$ ; confidence 0.913
  
192. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058820/l058820245.png ; $\operatorname { lim } _ { x \rightarrow x _ { 0 } } ( f _ { 1 } ( x ) / f _ { 2 } ( x ) )$ ; confidence 0.857
+
192. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060530/l0605309.png ; $h _ { U } = \phi _ { U } ^ { - 1 }$ ; confidence 0.912
  
193. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004020.png ; $a$ ; confidence 0.856
+
193. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007057.png ; $A _ { \alpha } ( x ) = o ( \frac { x } { \operatorname { log } x } )$ ; confidence 0.911
  
194. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021620/c02162087.png ; $\kappa ( \eta ^ { q } ) \in H ^ { 2 q } ( B )$ ; confidence 0.856
+
194. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032130/d032130352.png ; $s ^ { \prime } ( \Omega ^ { r } ( X ) )$ ; confidence 0.911
  
195. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036980/e03698026.png ; $\alpha : G \rightarrow \operatorname { Aut } A$ ; confidence 0.856
+
195. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f12021085.png ; $\lambda = \lambda _ { j }$ ; confidence 0.911
  
196. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016170/b01617013.png ; $F _ { n } ( z )$ ; confidence 0.855
+
196. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082160/r082160280.png ; $\gamma : M ^ { n } \rightarrow M ^ { n }$ ; confidence 0.911
  
197. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041310/f04131029.png ; $\Lambda = \frac { \partial } { \partial x } + i \frac { \partial } { \partial y }$ ; confidence 0.855
+
197. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130070/w13007023.png ; $\beta$ ; confidence 0.911
  
198. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130060/b13006060.png ; $b _ { i }$ ; confidence 0.854
+
198. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013037.png ; $SL _ { 2 } ( C )$ ; confidence 0.910
  
199. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033460/d033460124.png ; $| F _ { 0 } ^ { \prime } ( \zeta _ { 0 } ) | \leq | F ^ { \prime } ( \zeta _ { 0 } ) | \leq | F _ { \pi / 2 } ^ { \prime } ( \zeta _ { 0 } ) |$ ; confidence 0.854
+
199. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008083.png ; $X \leftarrow ( U - 1 / 2 ) / ( \sqrt { ( U - U ^ { 2 } ) } / 2 )$ ; confidence 0.910
  
200. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086960/s08696076.png ; $V < 0$ ; confidence 0.854
+
200. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074710/p074710106.png ; $P \rightarrow e$ ; confidence 0.910
  
201. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539056.png ; $\delta ^ { * } ( x ) = \left\{ \begin{array} { l l } { d _ { 1 } , } & { \text { if } \frac { p ( x | \theta _ { 2 } ) } { p ( x | \theta _ { 1 } ) } \leq \frac { \pi _ { 1 } } { \pi _ { 2 } } \frac { L _ { 12 } - L _ { 11 } } { L _ { 21 } - L _ { 22 } } } \\ { d _ { 2 } , } & { \text { if } \frac { p ( x | \theta _ { 2 } ) } { p ( x | \theta _ { 1 } ) } \geq \frac { \pi _ { 1 } } { \pi _ { 2 } } \frac { L _ { 12 } - L _ { 11 } } { L _ { 21 } - L _ { 22 } } } \end{array} \right.$ ; confidence 0.853
+
201. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b01747067.png ; $\omega ^ { - 1 }$ ; confidence 0.909
  
202. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240302.png ; $\hat { \eta } \omega$ ; confidence 0.852
+
202. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h046420200.png ; $F ( \phi ) \in A ( \hat { G } )$ ; confidence 0.909
  
203. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033980/d03398025.png ; $\sum _ { m = 1 } ^ { \infty } u _ { m n n }$ ; confidence 0.852
+
203. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096770/v0967704.png ; $F : \Omega \times R ^ { n } \times R ^ { n } \times S ^ { n } \rightarrow R$ ; confidence 0.909
  
204. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035110/e03511022.png ; $\Sigma - 1$ ; confidence 0.852
+
204. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w13009053.png ; $\| \varphi \| _ { L ^ { 2 } ( \mu ) } = \sqrt { n ! } | f | _ { H ^ { \otimes n } }$ ; confidence 0.909
  
205. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092600/t092600123.png ; $B = I _ { p }$ ; confidence 0.852
+
205. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130020/b13002056.png ; $x \in J$ ; confidence 0.908
  
206. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023250/c023250173.png ; $\beta _ { 0 }$ ; confidence 0.851
+
206. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026600/c026600121.png ; $\operatorname { lm } z ( x ) = 1$ ; confidence 0.908
  
207. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110050/h11005031.png ; $w _ { 2 } = f ( r _ { 1 } ) \ldots f ( r _ { n } )$ ; confidence 0.851
+
207. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130070/e1300704.png ; $S = o ( \# A )$ ; confidence 0.908
  
208. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059110/l05911087.png ; $l _ { 2 } u = \phi _ { 2 } ( t )$ ; confidence 0.851
+
208. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020080.png ; $6$ ; confidence 0.907
  
209. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l120120133.png ; $( K _ { p } ) _ { i n s }$ ; confidence 0.851
+
209. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120240/e12024025.png ; $K ( L )$ ; confidence 0.907
  
210. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130250/c13025017.png ; $Y _ { j } = i$ ; confidence 0.850
+
210. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047730/h04773077.png ; $\beta ^ { s - k } z ^ { \prime }$ ; confidence 0.907
  
211. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050950/i05095033.png ; $S = \frac { K } { 3 }$ ; confidence 0.850
+
211. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120140/p12014048.png ; $E = E$ ; confidence 0.907
  
212. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c02278052.png ; $N \gg n$ ; confidence 0.849
+
212. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300109.png ; $s = s ( ( A ^ { * } ) ^ { ( B ^ { * } ) } , ( B ^ { * } ) ^ { ( C ^ { * } ) } )$ ; confidence 0.907
  
213. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024890/c0248905.png ; $\alpha ( x ) - b ( x ) = f ( x ) g ( x ) + p h ( x )$ ; confidence 0.849
+
213. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013052.png ; $q ^ { ( l + 1 ) } = - ( q ^ { ( l ) } ) ^ { 2 } r ^ { ( l ) } + q ^ { ( l ) } \operatorname { log } ( q ^ { ( l ) } ) , r ^ { ( l + 1 ) } = \frac { 1 } { q ^ { ( l ) } }$ ; confidence 0.906
  
214. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040230/f040230100.png ; $x _ { n } = n$ ; confidence 0.849
+
214. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010137.png ; $\| A ^ { + } \| _ { 2 } = \frac { 1 } { \sigma _ { r } ( A ) }$ ; confidence 0.906
  
215. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064580/m06458025.png ; $k _ { 1 } + \ldots + k _ { n } = k$ ; confidence 0.849
+
215. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420109.png ; $x , y \in A$ ; confidence 0.906
  
216. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044470/g044470103.png ; $\psi \circ \phi = \phi ^ { \prime } \circ \psi$ ; confidence 0.848
+
216. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001097.png ; $SO ( 4 n + 3 )$ ; confidence 0.906
  
217. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066890/n06689067.png ; $v = 1.1 m / sec$ ; confidence 0.848
+
217. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a01406028.png ; $20$ ; confidence 0.906
  
218. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680179.png ; $\phi _ { x y } a \leq b$ ; confidence 0.847
+
218. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030020/d03002094.png ; $f ^ { * } N = O _ { X } \otimes _ { f } - 1 _ { O _ { Y } } f ^ { - 1 } N$ ; confidence 0.906
  
219. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130080/d13008069.png ; $H = C ^ { n }$ ; confidence 0.847
+
219. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023063.png ; $R = \sum _ { i = 0 } ^ { n - 1 } Z ^ { i } G J G ^ { * } Z ^ { * i } =$ ; confidence 0.906
  
220. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a130130103.png ; $K P$ ; confidence 0.846
+
220. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041270/f04127050.png ; $x \in D ( A )$ ; confidence 0.906
  
221. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110580/a11058047.png ; $= v : q$ ; confidence 0.846
+
221. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043330/g04333080.png ; $\omega = 1 / c ^ { 2 }$ ; confidence 0.906
  
222. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120070/e12007012.png ; $\Gamma _ { q }$ ; confidence 0.846
+
222. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058360/l058360172.png ; $\mathfrak { A } ^ { - }$ ; confidence 0.906
  
223. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120080/f120080162.png ; $L _ { q } ( X )$ ; confidence 0.846
+
223. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075650/p07565068.png ; $X \cap U = \{ x \in U : \phi ( x ) > 0 \}$ ; confidence 0.906
  
224. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a120160130.png ; $W E = R . F . I$ ; confidence 0.845
+
224. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081130/r08113085.png ; $c t ^ { \prime } = x ^ { \prime } \operatorname { sinh } \psi + c t \operatorname { cosh } \psi$ ; confidence 0.906
  
225. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036070/e03607020.png ; $\tau _ { n } ^ { ( B ) }$ ; confidence 0.845
+
225. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120080/w12008025.png ; $W ( f \times g ) = W ( f ) . W ( g )$ ; confidence 0.906
  
226. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058820/l058820138.png ; $\operatorname { lim } _ { x \rightarrow x _ { 0 } } f ( x ) = \alpha$ ; confidence 0.845
+
226. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240177.png ; $\alpha$ ; confidence 0.905
  
227. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064720/m0647206.png ; $f _ { E } ^ { \prime } ( \zeta )$ ; confidence 0.845
+
227. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060970/l0609706.png ; $\alpha = R \operatorname { ln } \operatorname { tan } ( \frac { \pi } { 4 } + \frac { u } { 2 R } )$ ; confidence 0.905
  
228. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070220/o07022036.png ; $E$ ; confidence 0.845
+
228. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066340/n06634043.png ; $\Sigma _ { n - 1 } ( x )$ ; confidence 0.905
  
229. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074690/p07469030.png ; $\pi G ( x ) = b$ ; confidence 0.845
+
229. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072510/p07251047.png ; $d y _ { 0 } - \sum _ { j = 1 } ^ { p } z _ { j } d y _ { j } = 0$ ; confidence 0.905
  
230. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082230/r0822307.png ; $| x _ { i } | \leq 1$ ; confidence 0.845
+
230. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073090/p07309030.png ; $V \cap L$ ; confidence 0.905
  
231. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c120210117.png ; $\Lambda _ { n } ( \theta ) - h ^ { \prime } \Delta _ { n } ( \theta ) \rightarrow - \frac { 1 } { 2 } h ^ { \prime } \Gamma ( \theta ) h$ ; confidence 0.843
+
231. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081470/r081470221.png ; $\oplus R ( S _ { n } )$ ; confidence 0.905
  
232. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120010/j12001037.png ; $\operatorname { log } F \leq 100$ ; confidence 0.843
+
232. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095290/u09529022.png ; $w = \operatorname { sin }$ ; confidence 0.905
  
233. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075350/p07535017.png ; $q IL$ ; confidence 0.843
+
233. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018032.png ; $A _ { n } = B n ^ { s _ { 1 } } ( \operatorname { ln } n ) ^ { \alpha } + O ( n ^ { \beta } )$ ; confidence 0.905
  
234. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042077.png ; $K _ { 0 } ( \varphi ) = K _ { 0 } ( \psi )$ ; confidence 0.842
+
234. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013250/a01325046.png ; $0 \notin f ( \partial D )$ ; confidence 0.904
  
235. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i050230312.png ; $- \infty < r < \infty$ ; confidence 0.842
+
235. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e12012065.png ; $\propto \| \Sigma \| ^ { - 1 / 2 } [ \nu + ( y - \mu ) ^ { T } \Sigma ^ { - 1 } ( y - \mu ) ] ^ { - ( \nu + p ) / 2 }$ ; confidence 0.904
  
236. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051880/i05188051.png ; $\mathfrak { M } \in S _ { 1 }$ ; confidence 0.842
+
236. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043290/g0432908.png ; $\alpha _ { k } = \frac { \Gamma ( \gamma + k + 1 ) } { \Gamma ( \gamma + 1 ) } \sqrt { \frac { \Gamma ( \alpha _ { 1 } + 1 ) \Gamma ( \alpha _ { 2 } + 1 ) } { \Gamma ( \alpha _ { 1 } + k + 1 ) \Gamma ( \alpha _ { 2 } + k + 1 ) } }$ ; confidence 0.904
  
237. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a1202209.png ; $x | < e$ ; confidence 0.841
+
237. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090760/s09076059.png ; $p ( \alpha )$ ; confidence 0.904
  
238. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082290/r08229026.png ; $y _ { n } \leq x _ { n } \leq z _ { n }$ ; confidence 0.841
+
238. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094600/t0946003.png ; $\alpha \geq A _ { 0 }$ ; confidence 0.904
  
239. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031950/d03195033.png ; $L u = \operatorname { div } ( p ( x ) \operatorname { grad } u ) + q ( x ) u$ ; confidence 0.840
+
239. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240335.png ; $F = E X$ ; confidence 0.904
  
240. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037080/e03708073.png ; $x _ { i } ^ { 2 } = 0$ ; confidence 0.840
+
240. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022040/c02204033.png ; $h ^ { * } ( pt )$ ; confidence 0.903
  
241. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f12011010.png ; $| \varphi ( z ) | ^ { 2 } e ^ { \delta | z | }$ ; confidence 0.840
+
241. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035250/e035250143.png ; $\Delta \Delta w _ { 0 } = 0$ ; confidence 0.903
  
242. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120070/g12007022.png ; $m \equiv 4$ ; confidence 0.840
+
242. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050730/i05073087.png ; $\chi _ { \pi } ( g ) = \sum _ { \{ \delta : \delta y \in H \delta \} } \chi _ { \rho } ( \delta g \delta ^ { - 1 } )$ ; confidence 0.903
  
243. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077260/r07726020.png ; $\zeta _ { 2 n } = \sqrt { - 2 \operatorname { ln } \xi _ { 2 n } } \operatorname { sin } 2 \pi \xi _ { 2 n - 1 }$ ; confidence 0.840
+
243. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070040/o07004017.png ; $\operatorname { lim } \alpha / \beta = 0$ ; confidence 0.903
  
244. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020740/c020740328.png ; $e \in E$ ; confidence 0.839
+
244. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130070/v13007046.png ; $q e ^ { ( - i \theta ) }$ ; confidence 0.903
  
245. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300102.png ; $C$ ; confidence 0.838
+
245. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240223.png ; $\zeta _ { i } = E ( z _ { i } )$ ; confidence 0.903
  
246. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022031.png ; $0 \leq S \leq T$ ; confidence 0.838
+
246. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240301.png ; $\hat { \eta } \Omega$ ; confidence 0.902
  
247. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062490/m06249026.png ; $\Lambda \in N ^ { t }$ ; confidence 0.838
+
247. https://www.encyclopediaofmath.org/legacyimages/s/s110/s110330/s11033016.png ; $- 5 \rightarrow - 14 \rightarrow - 7 \rightarrow - 20 \rightarrow - 10 \rightarrow - 5$ ; confidence 0.902
  
248. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055450/k0554502.png ; $u | _ { \Sigma } = 0$ ; confidence 0.837
+
248. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021056.png ; $n = 1$ ; confidence 0.901
  
249. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059250/l05925090.png ; $v \in ( 1 - t ) V$ ; confidence 0.837
+
249. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001071.png ; $k ( A ) = \| A ^ { - 1 } \| A \|$ ; confidence 0.901
  
250. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085620/s085620184.png ; $f _ { t } = h _ { t } \circ f _ { 0 } \circ k _ { t }$ ; confidence 0.837
+
250. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010104.png ; $\operatorname { Sp } ( n + 1 ) / \operatorname { Sp } ( n ) , \quad \operatorname { Sp } ( n + 1 ) / \operatorname { Sp } ( n ) \times Z _ { 2 }$ ; confidence 0.901
  
251. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090450/s09045062.png ; $\zeta ^ { \phi } \in C ^ { d }$ ; confidence 0.837
+
251. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011520/a01152028.png ; $G _ { X } = \{ g \in G : g x = x \}$ ; confidence 0.901
  
252. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032610/d03261012.png ; $y = y _ { 0 } - a n$ ; confidence 0.836
+
252. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020740/c020740168.png ; $F ( 1 _ { A } ) = 1 _ { F A }$ ; confidence 0.901
  
253. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054050/j05405060.png ; $H _ { 2 } = \prod _ { m = 1 } ^ { \infty } ( 1 + e ^ { ( 2 m - 1 ) i \pi \tau } )$ ; confidence 0.836
+
253. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067940/n06794014.png ; $N > 5$ ; confidence 0.901
  
254. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110100/b11010099.png ; $\| T \| T ^ { - 1 } \| \geq c n$ ; confidence 0.835
+
254. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110130/b11013012.png ; $M _ { d } ^ { * } = M _ { d }$ ; confidence 0.900
  
255. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025440/c02544025.png ; $D ^ { + } = \cup _ { k = 1 } ^ { m } D _ { k }$ ; confidence 0.835
+
255. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015350/b015350300.png ; $\delta _ { i k } = 0$ ; confidence 0.900
  
256. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110410/c11041081.png ; $\{ X _ { t } : t \in T \}$ ; confidence 0.835
+
256. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016850/b01685023.png ; $E = \sum _ { i = 1 } ^ { M } \epsilon _ { i } N _ { i }$ ; confidence 0.900
  
257. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240429.png ; $\Theta$ ; confidence 0.834
+
257. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120060/e12006018.png ; $T p ( A _ { y } ) = A$ ; confidence 0.900
  
258. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650252.png ; $\forall x _ { k }$ ; confidence 0.834
+
258. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010185.png ; $\lambda$ ; confidence 0.899
  
259. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110070/e11007046.png ; $C x ^ { - 1 }$ ; confidence 0.834
+
259. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240496.png ; $s = 2$ ; confidence 0.899
  
260. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041250/f0412503.png ; $z \rightarrow w = L ( z ) = \frac { a z + b } { c z + d }$ ; confidence 0.834
+
260. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020027.png ; $3$ ; confidence 0.899
  
261. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a01406076.png ; $\mathfrak { A } _ { s _ { 1 } }$ ; confidence 0.833
+
261. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011990/a0119906.png ; $\pi _ { k } ( x )$ ; confidence 0.899
  
262. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015350/b01535027.png ; $\alpha _ { i } \in \Omega$ ; confidence 0.833
+
262. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033530/d03353048.png ; $\pi ( y ) - \operatorname { li } y > - M y \operatorname { log } ^ { - m } y$ ; confidence 0.899
  
263. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830269.png ; $\operatorname { ord } ( \theta ) = \sum e$ ; confidence 0.833
+
263. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035360/e03536067.png ; $\langle P ^ { ( 2 ) } \rangle$ ; confidence 0.899
  
264. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062590/m06259032.png ; $B = 0$ ; confidence 0.833
+
264. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058360/l058360168.png ; $x$ ; confidence 0.899
  
265. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015580/b0155806.png ; $p _ { i } = \nu ( \alpha _ { i } )$ ; confidence 0.832
+
265. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w12007015.png ; $q$ ; confidence 0.899
  
266. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097030/w09703012.png ; $\overline { \sum _ { g } n ( g ) g } = \sum w ( g ) n ( g ) g ^ { - 1 }$ ; confidence 0.832
+
266. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420160.png ; $K _ { 0 } ( B ) = Z + \theta Z$ ; confidence 0.898
  
267. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013041.png ; $\sum _ { i = 0 } ^ { \infty } X _ { i } z ^ { - i }$ ; confidence 0.831
+
267. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120040/c12004049.png ; $f \in H _ { c } ( D )$ ; confidence 0.898
  
268. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032250/d03225022.png ; $\partial M$ ; confidence 0.831
+
268. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046280/h04628059.png ; $x ^ { ( 1 ) } = x ^ { ( 1 ) } ( t )$ ; confidence 0.898
  
269. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130080/i13008028.png ; $X ^ { \prime \prime } = L _ { 1 } ^ { \prime \prime } \cap L _ { 2 } ^ { \prime \prime } = L _ { 2 } ^ { \prime \prime } \cap L _ { 3 } ^ { \prime \prime } = L _ { 1 } ^ { \prime \prime } \cap L _ { 3 } ^ { \prime \prime }$ ; confidence 0.831
+
269. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082430/r0824307.png ; $I ( A ) = \operatorname { Ker } ( \epsilon )$ ; confidence 0.898
  
270. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s13064057.png ; $L ^ { 1 } ( R ) \cap L ^ { \infty } ( R )$ ; confidence 0.831
+
270. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120140/w12014036.png ; $S \square T$ ; confidence 0.898
  
271. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023140/c023140243.png ; $u \mapsto \rho ( u ) - \operatorname { Tr } ( \text { ad } u ) \in \operatorname { End } _ { K } ( M )$ ; confidence 0.830
+
271. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002046.png ; $GF ( q )$ ; confidence 0.897
  
272. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090770/s090770137.png ; $\lambda _ { 1 } < \lambda _ { 2 } < \ldots$ ; confidence 0.830
+
272. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020550/c02055049.png ; $1$ ; confidence 0.897
  
273. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015720/b01572032.png ; $+ \frac { \alpha } { u } [ \alpha ( \frac { \partial u } { \partial x } ) ^ { 2 } + 2 b \frac { \partial u } { \partial x } \frac { \partial u } { \partial y } + c ( \frac { \partial u } { \partial y } ) ^ { 2 } ] +$ ; confidence 0.828
+
273. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120080/f120080135.png ; $\Lambda _ { G } = 1$ ; confidence 0.897
  
274. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031680/d03168056.png ; $q _ { 2 } \neq q _ { 1 }$ ; confidence 0.828
+
274. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o13006047.png ; $\frac { 1 } { i } ( A _ { k } - A _ { k } ^ { * } ) = \Phi ^ { * } \sigma _ { k } \Phi$ ; confidence 0.897
  
275. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059490/l059490217.png ; $\rho ^ { ( j ) }$ ; confidence 0.828
+
275. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018010.png ; $R \in [ 0 , \infty ]$ ; confidence 0.897
  
276. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083000/s08300044.png ; $D _ { n } X _ { 1 }$ ; confidence 0.828
+
276. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002010.png ; $g \neq 1$ ; confidence 0.896
  
277. https://www.encyclopediaofmath.org/legacyimages/y/y110/y110010/y11001011.png ; $g ^ { \prime } = \phi ^ { 4 / ( n - 2 ) } g$ ; confidence 0.828
+
277. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013035.png ; $Q _ { 0 } = P _ { 0 }$ ; confidence 0.896
  
278. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110050/c11005010.png ; $CW ( 9.63 )$ ; confidence 0.827
+
278. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051130/i05113068.png ; $\overline { \rho } _ { L }$ ; confidence 0.896
  
279. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075480/p0754802.png ; $( p \supset ( q \supset r ) ) \supset ( ( p \supset q ) \supset ( p \supset r ) )$ ; confidence 0.827
+
279. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086940/s086940114.png ; $\operatorname { det } S \neq 0$ ; confidence 0.896
  
280. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075830/p0758301.png ; $a \vee b$ ; confidence 0.827
+
280. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240363.png ; $SS _ { H }$ ; confidence 0.895
  
281. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087360/s087360105.png ; $\operatorname { lim } _ { n \rightarrow \infty } P \{ \frac { \alpha - \alpha } { \sigma _ { n } ( \alpha ) } < x \} = \frac { 1 } { \sqrt { 2 \pi } } \int _ { - \infty } ^ { x } e ^ { - t ^ { 2 } / 2 } d t \equiv \Phi ( x )$ ; confidence 0.827
+
281. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300106.png ; $B$ ; confidence 0.895
  
282. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130090/c13009010.png ; $x _ { j } = \operatorname { cos } ( \pi j / N )$ ; confidence 0.826
+
282. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240106.png ; $t$ ; confidence 0.895
  
283. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070340/o07034097.png ; $y = K _ { n } ( x )$ ; confidence 0.826
+
283. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120160/b12016030.png ; $x _ { i } ^ { \prime \prime } = x _ { i } ^ { \prime }$ ; confidence 0.895
  
284. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590585.png ; $\| x \| = \rho$ ; confidence 0.826
+
284. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g043810179.png ; $\alpha f \in D ^ { \prime } ( O )$ ; confidence 0.895
  
285. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047930/h04793027.png ; $x = [ u ]$ ; confidence 0.825
+
285. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047380/h047380204.png ; $\sum _ { \nu \in A } \| x _ { \nu } \| ^ { 2 } < \infty$ ; confidence 0.895
  
286. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012050.png ; $z | > 1$ ; confidence 0.823
+
286. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051620/i05162045.png ; $\Gamma ( z ) = \frac { 1 } { e ^ { 2 i \pi z } - 1 } \int _ { L _ { 1 } } \zeta ^ { z - 1 } e ^ { - \zeta } d \zeta$ ; confidence 0.895
  
287. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035720/e0357202.png ; $\operatorname { lim } _ { k \rightarrow \infty } | \alpha _ { k } | ^ { 1 / k } = 0$ ; confidence 0.823
+
287. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085810/s0858103.png ; $\phi : U \rightarrow \sum _ { i \in I } U _ { l }$ ; confidence 0.895
  
288. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075560/p075560134.png ; $( P . Q ) ! = ( P \times Q ) ! = ( P ! \times Q ! ) !$ ; confidence 0.823
+
288. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110192.png ; $X \in \Phi$ ; confidence 0.895
  
289. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013056.png ; $A _ { 1 } ^ { ( 1 ) }$ ; confidence 0.822
+
289. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018022.png ; $\phi ( s ) = \sum _ { n = 1 } ^ { \infty } \alpha _ { n } e ^ { - \lambda _ { n } s } , \quad s = \sigma + i t , \quad \lambda _ { n } > 0$ ; confidence 0.894
  
290. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016670/b01667071.png ; $n _ { 1 } = 9$ ; confidence 0.822
+
290. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022022.png ; $Y$ ; confidence 0.894
  
291. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063090/m06309023.png ; $r _ { 0 } ^ { * } + \sum _ { j = 1 } ^ { q } \beta _ { j } r _ { j } ^ { * } = \sigma ^ { 2 }$ ; confidence 0.822
+
291. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016019.png ; $x _ { k + 1 } = M ^ { - 1 } ( N x _ { k } + b )$ ; confidence 0.894
  
292. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110130/m11013041.png ; $\beta + \gamma \simeq \alpha . S ( t )$ ; confidence 0.822
+
292. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014310/a01431027.png ; $\exists x A$ ; confidence 0.894
  
293. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004069.png ; $X ^ { * } = \Gamma \backslash D ^ { * }$ ; confidence 0.822
+
293. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110480/c11048046.png ; $D ^ { \perp }$ ; confidence 0.893
  
294. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043580/g04358023.png ; $f _ { \zeta } ( \lambda )$ ; confidence 0.821
+
294. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110070/e110070191.png ; $f ^ { \prime } ( 1 ) = \prod _ { n > 0 } ( \frac { 1 - q ^ { 2 n } } { 1 + q ^ { 2 n } } ) ^ { 2 }$ ; confidence 0.893
  
295. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059140/l0591406.png ; $T _ { x _ { 1 } } ( M ) \rightarrow T _ { x _ { 0 } } ( M )$ ; confidence 0.821
+
295. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780356.png ; $\Omega$ ; confidence 0.892
  
296. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082050/r08205056.png ; $\partial \overline { R } _ { \nu }$ ; confidence 0.821
+
296. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024900/c02490030.png ; $q = p ^ { r }$ ; confidence 0.892
  
297. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015110/b01511035.png ; $U ( y ) = \int _ { \Gamma } f ( x ) d \beta _ { Y } ( x )$ ; confidence 0.820
+
297. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023061.png ; $L \mapsto E ( L )$ ; confidence 0.892
  
298. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016990/b0169909.png ; $\Omega _ { M } ( \rho ) \in V _ { M } ^ { V ^ { n } }$ ; confidence 0.820
+
298. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048440/h0484406.png ; $w = z ^ { - \gamma / 2 } ( z - 1 ) ^ { ( \gamma - \alpha - \beta - 1 ) / 2 } u$ ; confidence 0.892
  
299. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021620/c02162091.png ; $c _ { q } ( \xi ) = \kappa ( \eta ^ { q } )$ ; confidence 0.820
+
299. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059490/l05949032.png ; $\alpha ^ { ( 0 ) }$ ; confidence 0.892
  
300. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d130060103.png ; $Z \in X$ ; confidence 0.820
+
300. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064250/m064250151.png ; $\tau \cup A C \cup B C$ ; confidence 0.892

Revision as of 10:05, 2 September 2019

List

1. b01539052.png ; $L _ { 22 } < L _ { 21 }$ ; confidence 0.945

2. b130300112.png ; $F _ { m }$ ; confidence 0.945

3. c11050032.png ; $H C ^ { 0 } ( A )$ ; confidence 0.945

4. d03289066.png ; $s = - 2 \nu - \delta$ ; confidence 0.945

5. m064430225.png ; $\operatorname { lm } A ( \tau )$ ; confidence 0.945

6. n06648031.png ; $\phi _ { \alpha } ( f ) = w _ { \alpha }$ ; confidence 0.945

7. p07309060.png ; $R \times D$ ; confidence 0.945

8. a110010163.png ; $( A ) = n < m$ ; confidence 0.944

9. a110010167.png ; $\operatorname { rank } ( A ) = m = n$ ; confidence 0.944

10. a110010248.png ; $x ^ { ( i ) } \rightarrow x$ ; confidence 0.944

11. b12001032.png ; $\frac { \partial v } { \partial t } - 6 v ^ { 2 } \frac { \partial v } { \partial x } + \frac { \partial ^ { 3 } v } { \partial x ^ { 3 } } = 0$ ; confidence 0.944

12. c02485065.png ; $A . B$ ; confidence 0.944

13. h048420118.png ; $F _ { j } ( z ) = \sum _ { k = 1 } ^ { N } G _ { j k } ( z )$ ; confidence 0.944

14. k11007019.png ; $- w _ { 0 } ( \chi )$ ; confidence 0.944

15. l05715026.png ; $\ddot { x } \square _ { \nu } = d \dot { x } \square _ { \nu } / d t$ ; confidence 0.944

16. w12011033.png ; $S ( R ^ { n } ) \times S ( R ^ { n } )$ ; confidence 0.944

17. a110420120.png ; $y \in G ^ { + }$ ; confidence 0.943

18. e03581038.png ; $\Phi \Psi$ ; confidence 0.943

19. f04061036.png ; $C ^ { b r } ( E ^ { n } )$ ; confidence 0.943

20. q07643044.png ; $f \in W _ { 2 } ^ { 1 }$ ; confidence 0.943

21. a11042084.png ; $x _ { 1 } , x _ { 2 } , y _ { 1 } , y _ { 2 } \in G$ ; confidence 0.943

22. a130240228.png ; $\zeta _ { 1 } = \ldots = \zeta _ { q } = 0$ ; confidence 0.942

23. t12001075.png ; $s ^ { 2 }$ ; confidence 0.942

24. f04039064.png ; $y ^ { i } C _ { i j k } = 0$ ; confidence 0.942

25. s087450112.png ; $\xi = \sum b _ { j } x ( t _ { j } )$ ; confidence 0.942

26. w130080127.png ; $S _ { n } = s _ { n } + \theta ^ { 2 } F _ { n }$ ; confidence 0.942

27. d031280173.png ; $R ^ { i } F = H ^ { i } \circ R ^ { * } F$ ; confidence 0.941

28. h1102204.png ; $h : E ^ { m } \rightarrow R$ ; confidence 0.941

29. m120120128.png ; $C = Z ( Q )$ ; confidence 0.941

30. r08250029.png ; $u _ { 0 } = A ^ { - 1 } f$ ; confidence 0.941

31. s11004082.png ; $\phi ( T _ { X } N ) \subset T _ { X } N$ ; confidence 0.941

32. a01018048.png ; $A _ { x } = n$ ; confidence 0.941

33. a130240546.png ; $7$ ; confidence 0.941

34. t12001034.png ; $SO ( 3 )$ ; confidence 0.940

35. f04008010.png ; $F ^ { * } ( \theta | x ) = 1 - F ( x | \theta )$ ; confidence 0.940

36. n067860258.png ; $V \subset \rho U$ ; confidence 0.940

37. a130240465.png ; $( f ( t _ { 1 } ) , \ldots , f ( t _ { p } ) )$ ; confidence 0.940

38. c02411026.png ; $d = ( d _ { n } )$ ; confidence 0.939

39. i05077064.png ; $A = \operatorname { lim } _ { \rightarrow } F ( D )$ ; confidence 0.939

40. s12026061.png ; $\partial _ { s }$ ; confidence 0.939

41. a01024073.png ; $\omega P _ { i } P _ { j }$ ; confidence 0.938

42. b13022030.png ; $L _ { p } ( T )$ ; confidence 0.938

43. r08177046.png ; $x ^ { T } ( t _ { 1 } ) \Phi x ( t _ { 1 } ) + \int _ { t _ { 0 } } ^ { t _ { 1 } } [ x ^ { T } ( t ) M ( t ) x ( t ) + u ^ { T } ( t ) N ( t ) u ( t ) ] d t$ ; confidence 0.938

44. a11001063.png ; $| \delta x | \leq | A ^ { - 1 } \delta A | | x | + | A ^ { - 1 } \delta A | | \delta x | + | A ^ { - 1 } \delta b |$ ; confidence 0.937

45. b0153903.png ; $( \Theta , B _ { \Theta } )$ ; confidence 0.937

46. t120010141.png ; $7$ ; confidence 0.937

47. g04497028.png ; $E ^ { n } \times R$ ; confidence 0.937

48. o07029017.png ; $\Delta = \alpha _ { 2 } c ( b ) - \beta _ { 2 } s ( b ) \neq 0$ ; confidence 0.937

49. p07295010.png ; $w ( z ) = \int _ { \gamma } ( t - z ) ^ { \mu + n - 1 } u ( t ) d t$ ; confidence 0.937

50. p07580013.png ; $\square ^ { n - 1 } R _ { n }$ ; confidence 0.937

51. r08204012.png ; $a _ { 0 } ( z ) \neq 0$ ; confidence 0.937

52. a13024025.png ; $y , \beta , e$ ; confidence 0.936

53. a110420154.png ; $K _ { 0 }$ ; confidence 0.936

54. a110040196.png ; $\varphi _ { L } : A \rightarrow P ^ { 4 }$ ; confidence 0.936

55. c0206506.png ; $1 / \mu = d S / d \sigma$ ; confidence 0.936

56. c1202706.png ; $t \mapsto \gamma ( t ) = \operatorname { exp } _ { p } ( t v )$ ; confidence 0.936

57. m06499012.png ; $f : M \rightarrow R$ ; confidence 0.936

58. o13001044.png ; $F : L ^ { 2 } ( D ^ { \prime } ) \rightarrow L ^ { 2 } ( R ^ { 3 } )$ ; confidence 0.936

59. o07001011.png ; $G / G _ { X }$ ; confidence 0.936

60. t12008015.png ; $O _ { S } ^ { * }$ ; confidence 0.936

61. v09667018.png ; $P ^ { 2 r - k }$ ; confidence 0.936

62. a110010218.png ; $| \delta \lambda _ { i } | / \| \delta A \|$ ; confidence 0.936

63. a130240403.png ; $SS _ { e }$ ; confidence 0.936

64. a11001088.png ; $\leq \frac { \| B r \| } { 1 - \| I - B A \| }$ ; confidence 0.935

65. c1301504.png ; $C ^ { \infty } ( D ( \Omega ) )$ ; confidence 0.935

66. p07333012.png ; $d S _ { n }$ ; confidence 0.935

67. a13024059.png ; $( i , j )$ ; confidence 0.935

68. a01018021.png ; $20$ ; confidence 0.935

69. c02023043.png ; $X \backslash K _ { X }$ ; confidence 0.934

70. d1203009.png ; $Y ( t ) \in R ^ { m }$ ; confidence 0.934

71. f040850122.png ; $A \rightarrow w$ ; confidence 0.934

72. g04435074.png ; $d ( \Lambda ) = \Delta ( \mathfrak { M } )$ ; confidence 0.934

73. h11020058.png ; $\Psi ( y _ { n } ) \subseteq \Psi ( y _ { 0 } )$ ; confidence 0.934

74. l06083045.png ; $b \in Q$ ; confidence 0.934

75. a13024032.png ; $m \times p$ ; confidence 0.934

76. a13013054.png ; $t _ { n }$ ; confidence 0.933

77. c026870129.png ; $( \nabla _ { X } U ) _ { p }$ ; confidence 0.933

78. d03206019.png ; $\sum _ { n = 1 } ^ { \infty } | x _ { n } ( t ) |$ ; confidence 0.933

79. k12003036.png ; $F _ { M } : G \rightarrow C ^ { * }$ ; confidence 0.933

80. o1200204.png ; $\alpha = 1 / 2$ ; confidence 0.933

81. s08778069.png ; $x [ M ^ { n } ] = \alpha ( x )$ ; confidence 0.933

82. a01021061.png ; $\omega ^ { \prime } = \omega - A _ { 1 } \phi _ { 1 } - \ldots - A _ { g } \phi _ { g }$ ; confidence 0.932

83. t12001038.png ; $\eta ^ { \alpha } ( Y ) = g ( \xi ^ { \alpha } , Y )$ ; confidence 0.932

84. a13013046.png ; $\frac { \partial } { \partial t _ { k } } F _ { i j } = \frac { \partial } { \partial t _ { i } } F _ { j k }$ ; confidence 0.932

85. c0209509.png ; $u ( x _ { 0 } ) = u _ { 0 }$ ; confidence 0.932

86. r13004063.png ; $u _ { 1 } = | \frac { \partial u } { \partial n } | = 0$ ; confidence 0.932

87. r13013012.png ; $P _ { \sigma } = \frac { 1 } { 2 \pi i } \int _ { \Gamma } ( \lambda - A ) ^ { - 1 } d \lambda$ ; confidence 0.932

88. s0913909.png ; $\frac { x ^ { 2 } } { p } - \frac { y ^ { 2 } } { q } = 2 z$ ; confidence 0.932

89. t12005046.png ; $d f _ { x } : R ^ { n } \rightarrow R ^ { p }$ ; confidence 0.932

90. b11016019.png ; $f ( x ) = a x + b$ ; confidence 0.931

91. c1103309.png ; $p _ { i } \in S$ ; confidence 0.931

92. s0911009.png ; $\lambda _ { n } = 1 / ( n + 1 ) ^ { s }$ ; confidence 0.931

93. t093150306.png ; $= C$ ; confidence 0.931

94. a11001077.png ; $\delta x = A ^ { - 1 } r$ ; confidence 0.931

95. a01064020.png ; $d ( m )$ ; confidence 0.930

96. c02172031.png ; $b _ { k } ^ { \prime } = ( - 1 ) ^ { k + 1 } b _ { k }$ ; confidence 0.930

97. c02389043.png ; $\{ d F _ { i } \} _ { 1 } ^ { m }$ ; confidence 0.930

98. h04774059.png ; $0 \rightarrow A ^ { \prime } \rightarrow A \rightarrow A ^ { \prime \prime } \rightarrow 0$ ; confidence 0.930

99. m11011038.png ; $\square _ { q } F _ { p - 1 }$ ; confidence 0.930

100. m11013015.png ; $E S$ ; confidence 0.930

101. m064190102.png ; $u | _ { \Gamma } = \psi$ ; confidence 0.930

102. t094530109.png ; $\sum ( k _ { i } - 1 )$ ; confidence 0.930

103. z13010033.png ; $\forall y ( \neg y \in x )$ ; confidence 0.930

104. a1202208.png ; $| x | | \leq 1$ ; confidence 0.929

105. a13008058.png ; $X \leftarrow m + s ( U _ { 1 } + U _ { 2 } - 1 )$ ; confidence 0.929

106. r081460129.png ; $V _ { \lambda } ^ { 0 } \subset V _ { \lambda }$ ; confidence 0.929

107. w12019047.png ; $P = - i \hbar \nabla _ { x }$ ; confidence 0.929

108. a130240374.png ; $F = Z _ { 1 } M _ { E } ^ { - 1 } Z _ { 1 } ^ { \prime }$ ; confidence 0.929

109. a01021044.png ; $B _ { i j } = \int _ { b _ { j } } \phi _ { i }$ ; confidence 0.928

110. a11001015.png ; $x$ ; confidence 0.928

111. b1104909.png ; $P _ { 1 }$ ; confidence 0.928

112. r080060177.png ; $\{ r _ { n } + r _ { n } ^ { \prime } \}$ ; confidence 0.928

113. t09323071.png ; $X \rightarrow P L / O$ ; confidence 0.928

114. a110010284.png ; $C u = \lambda B u$ ; confidence 0.927

115. a01021038.png ; $\delta _ { i i } = 1$ ; confidence 0.927

116. m06530022.png ; $\otimes _ { i = 1 } ^ { n } E _ { i } \rightarrow F$ ; confidence 0.927

117. k055520124.png ; $\frac { 1 } { 2 \pi } \{ \text { hyperbolic area of } \Omega \backslash \Gamma \} \leq 2 ( N - 1 )$ ; confidence 0.926

118. s13062062.png ; $m _ { 0 } ( \lambda ) = A + \int _ { - \infty } ^ { \infty } ( \frac { 1 } { t - \lambda } - \frac { t } { t ^ { 2 } + 1 } ) d \rho _ { 0 } ( t )$ ; confidence 0.926

119. n06743015.png ; $\sum _ { k = 1 } ^ { \infty } \| u _ { k } \| = \sum _ { k = 1 } ^ { \infty } 1 / k$ ; confidence 0.925

120. q076820199.png ; $f ( \xi _ { T } ( t ) )$ ; confidence 0.925

121. a110010156.png ; $\delta x = [ ( A + \delta A ) ^ { + } - A ^ { + } ] b + ( A + \delta A ) ^ { + } \delta b$ ; confidence 0.924

122. a01021037.png ; $A _ { j } = \int _ { \alpha _ { j } } \phi _ { i } = \delta _ { i j }$ ; confidence 0.924

123. a110420150.png ; $K _ { 0 } ( \varphi )$ ; confidence 0.924

124. c0223301.png ; $a ( r )$ ; confidence 0.924

125. g04328069.png ; $H _ { i } ( x ^ { \prime } ) > H _ { i } ( x ^ { \prime \prime } )$ ; confidence 0.924

126. m06256075.png ; $K _ { y } ^ { \alpha }$ ; confidence 0.924

127. a11001075.png ; $r = A x - b$ ; confidence 0.924

128. a130240497.png ; $\beta _ { 11 } = \beta _ { 21 }$ ; confidence 0.923

129. a110420134.png ; $K _ { 0 } ( I ) \rightarrow K _ { 0 } ( A )$ ; confidence 0.923

130. h046010125.png ; $M _ { 2 } \times S ^ { N }$ ; confidence 0.923

131. h0481908.png ; $\nu = 0$ ; confidence 0.923

132. j13007031.png ; $L = \angle \operatorname { lim } _ { z \rightarrow \omega } f ( z )$ ; confidence 0.923

133. p12017067.png ; $I$ ; confidence 0.923

134. s0855608.png ; $| \sigma ^ { n } |$ ; confidence 0.923

135. s09017045.png ; $E$ ; confidence 0.923

136. t093150395.png ; $A \wedge B$ ; confidence 0.923

137. a11001053.png ; $A = \left( \begin{array} { c c } { 10 ^ { 5 } } & { 0 } \\ { 0 } & { 10 ^ { - 5 } } \end{array} \right)$ ; confidence 0.923

138. b11042025.png ; $V _ { k } \varphi ( x ) = \varphi ( x - h )$ ; confidence 0.922

139. c022780128.png ; $\Omega _ { fr } ^ { - i } = \Omega _ { i } ^ { fr } = \pi _ { i + N } ( S ^ { N } )$ ; confidence 0.922

140. f110160161.png ; $\mathfrak { A } \sim _ { l } \mathfrak { B }$ ; confidence 0.922

141. a1100101.png ; $f ( \alpha , x ) = 0$ ; confidence 0.922

142. a130240484.png ; $\beta _ { i 0 } + \beta _ { i 1 } t + \ldots + \beta _ { i k } t ^ { k }$ ; confidence 0.922

143. a110610104.png ; $Z = \int _ { A } D A \sqrt { \operatorname { det } ( / \partial _ { A } ^ { * } / \partial _ { A } ) } \operatorname { exp } [ - \| F \| ^ { 2 } ]$ ; confidence 0.921

144. d03428088.png ; $S _ { g } ( w _ { 0 } )$ ; confidence 0.921

145. i0513609.png ; $\int f _ { 1 } ( x ) d x \quad \text { and } \quad \int f _ { 2 } ( x ) d x$ ; confidence 0.921

146. l11016049.png ; $n ^ { O ( n ) } M ^ { O ( 1 ) }$ ; confidence 0.921

147. t120010124.png ; $b _ { 2 } i + 1 ( S ) = 0$ ; confidence 0.920

148. b0172908.png ; $\Gamma \subset M _ { A }$ ; confidence 0.920

149. e0357604.png ; $f : W \rightarrow R$ ; confidence 0.920

150. p1101505.png ; $x \preceq y \Rightarrow z x t \preceq x y t$ ; confidence 0.920

151. d03125086.png ; $\Omega _ { X / Y } ^ { 1 }$ ; confidence 0.919

152. e03684025.png ; $A = \operatorname { lim } _ { n \rightarrow \infty } C _ { n } = ( 1 + \frac { 1 } { 4 } + \frac { 1 } { 16 } + \ldots ) C _ { 1 } = \frac { 4 } { 3 } C _ { 1 }$ ; confidence 0.919

153. l05715028.png ; $3 N + k + m$ ; confidence 0.919

154. p110120428.png ; $P _ { n } ( f )$ ; confidence 0.919

155. t12006058.png ; $N \geq Z$ ; confidence 0.919

156. a110010131.png ; $\epsilon A _ { 1 }$ ; confidence 0.919

157. a010210115.png ; $\alpha$ ; confidence 0.918

158. a013180158.png ; $\| T _ { M } \|$ ; confidence 0.918

159. c11013026.png ; $f \in C ^ { k }$ ; confidence 0.918

160. c0264808.png ; $\alpha _ { i } : A _ { i } \rightarrow X$ ; confidence 0.918

161. d031930232.png ; $= \Phi ( z ) \operatorname { exp } \{ \frac { z - t } { \pi } \int \int _ { S } \frac { A ( \zeta ) w ( \zeta ) + B ( \zeta ) \overline { w ( \zeta ) } } { ( \zeta - z ) ( \zeta - t ) w } d \xi d \eta \}$ ; confidence 0.918

162. f0382203.png ; $K _ { X } ^ { - 1 }$ ; confidence 0.918

163. r080020171.png ; $P - N \equiv ( \frac { m _ { 1 } } { 2 } ) ^ { 2 } \pm 1 \operatorname { mod } 8$ ; confidence 0.918

164. a11001026.png ; $\| A ^ { - 1 } \delta A \| < 1$ ; confidence 0.918

165. a130240506.png ; $Z _ { 32 } , Z _ { 33 }$ ; confidence 0.917

166. a130240518.png ; $Z _ { 12 }$ ; confidence 0.917

167. b12027050.png ; $U ( t ) = \sum _ { 1 } ^ { \infty } P ( S _ { k } \leq t ) = \sum _ { 1 } ^ { \infty } F ^ { ( k ) } ( t )$ ; confidence 0.917

168. b01697035.png ; $t _ { f } ( n )$ ; confidence 0.917

169. d032450444.png ; $X _ { 1 } \cup X _ { 2 } = X$ ; confidence 0.917

170. a01020069.png ; $Q : \mathfrak { A } / \mathfrak { A } _ { 1 } \rightarrow \mathfrak { A }$ ; confidence 0.917

171. t120010109.png ; $m > 3$ ; confidence 0.916

172. t120010133.png ; $S ( p ) = U ( 1 ) _ { p } \backslash U ( n + 2 ) / U ( n )$ ; confidence 0.916

173. c0236203.png ; $| \alpha ( z ) |$ ; confidence 0.916

174. j05407010.png ; $w _ { 1 } = w _ { 1 } ( z _ { 1 } )$ ; confidence 0.916

175. b11096026.png ; $\nu : Z ( K ) \rightarrow V \subset \operatorname { Aff } ( A )$ ; confidence 0.915

176. c02544057.png ; $\forall x \in D _ { k } : \mu _ { k } \Delta u + ( \lambda _ { k } + \mu _ { k } ) \text { grad div } u = 0$ ; confidence 0.915

177. h0466006.png ; $\{ x : | x - y | < r \}$ ; confidence 0.915

178. l057780212.png ; $31$ ; confidence 0.915

179. a01021045.png ; $( \operatorname { Im } B _ { i j } )$ ; confidence 0.915

180. a12022011.png ; $X = 1 ^ { p }$ ; confidence 0.914

181. a130240328.png ; $H : X _ { 3 } B X _ { 4 } = 0$ ; confidence 0.914

182. b12037030.png ; $h \in \Omega$ ; confidence 0.914

183. b01747053.png ; $\Pi ^ { \prime \prime }$ ; confidence 0.914

184. e12002045.png ; $T$ ; confidence 0.914

185. e12015064.png ; $P _ { 1 } ^ { 1 } = \frac { 1 } { 4 } p ^ { 2 } + \frac { 1 } { 2 } \dot { p } - q = I$ ; confidence 0.914

186. g04335040.png ; $\frac { \pi \psi } { Q } = - \theta - \sum _ { n = 1 } ^ { \infty } \frac { 1 } { n } ( \frac { \tau } { \tau _ { 0 } } ) ^ { n } \frac { y _ { n } ( \tau ) } { y _ { n } ( \tau _ { 0 } ) } \operatorname { sin } 2 n \theta$ ; confidence 0.914

187. r0821106.png ; $d s ^ { 2 } = g _ { j } \omega ^ { i } \omega ^ { j }$ ; confidence 0.914

188. a010210101.png ; $A _ { k } , B _ { k }$ ; confidence 0.914

189. c02473061.png ; $\Omega ^ { \prime } = \| \Omega _ { \alpha } ^ { \prime \beta } \|$ ; confidence 0.913

190. g04347036.png ; $0 \rightarrow \phi ^ { 1 } / \phi ^ { 2 } \rightarrow \phi ^ { 0 } / \phi ^ { 2 } \rightarrow \phi ^ { 0 } / \phi ^ { 1 } \rightarrow 0$ ; confidence 0.913

191. a11001051.png ; $| A |$ ; confidence 0.913

192. l0605309.png ; $h _ { U } = \phi _ { U } ^ { - 1 }$ ; confidence 0.912

193. a13007057.png ; $A _ { \alpha } ( x ) = o ( \frac { x } { \operatorname { log } x } )$ ; confidence 0.911

194. d032130352.png ; $s ^ { \prime } ( \Omega ^ { r } ( X ) )$ ; confidence 0.911

195. f12021085.png ; $\lambda = \lambda _ { j }$ ; confidence 0.911

196. r082160280.png ; $\gamma : M ^ { n } \rightarrow M ^ { n }$ ; confidence 0.911

197. w13007023.png ; $\beta$ ; confidence 0.911

198. a13013037.png ; $SL _ { 2 } ( C )$ ; confidence 0.910

199. a13008083.png ; $X \leftarrow ( U - 1 / 2 ) / ( \sqrt { ( U - U ^ { 2 } ) } / 2 )$ ; confidence 0.910

200. p074710106.png ; $P \rightarrow e$ ; confidence 0.910

201. b01747067.png ; $\omega ^ { - 1 }$ ; confidence 0.909

202. h046420200.png ; $F ( \phi ) \in A ( \hat { G } )$ ; confidence 0.909

203. v0967704.png ; $F : \Omega \times R ^ { n } \times R ^ { n } \times S ^ { n } \rightarrow R$ ; confidence 0.909

204. w13009053.png ; $\| \varphi \| _ { L ^ { 2 } ( \mu ) } = \sqrt { n ! } | f | _ { H ^ { \otimes n } }$ ; confidence 0.909

205. b13002056.png ; $x \in J$ ; confidence 0.908

206. c026600121.png ; $\operatorname { lm } z ( x ) = 1$ ; confidence 0.908

207. e1300704.png ; $S = o ( \# A )$ ; confidence 0.908

208. a01020080.png ; $6$ ; confidence 0.907

209. e12024025.png ; $K ( L )$ ; confidence 0.907

210. h04773077.png ; $\beta ^ { s - k } z ^ { \prime }$ ; confidence 0.907

211. p12014048.png ; $E = E$ ; confidence 0.907

212. a1300109.png ; $s = s ( ( A ^ { * } ) ^ { ( B ^ { * } ) } , ( B ^ { * } ) ^ { ( C ^ { * } ) } )$ ; confidence 0.907

213. a13013052.png ; $q ^ { ( l + 1 ) } = - ( q ^ { ( l ) } ) ^ { 2 } r ^ { ( l ) } + q ^ { ( l ) } \operatorname { log } ( q ^ { ( l ) } ) , r ^ { ( l + 1 ) } = \frac { 1 } { q ^ { ( l ) } }$ ; confidence 0.906

214. a110010137.png ; $\| A ^ { + } \| _ { 2 } = \frac { 1 } { \sigma _ { r } ( A ) }$ ; confidence 0.906

215. a110420109.png ; $x , y \in A$ ; confidence 0.906

216. t12001097.png ; $SO ( 4 n + 3 )$ ; confidence 0.906

217. a01406028.png ; $20$ ; confidence 0.906

218. d03002094.png ; $f ^ { * } N = O _ { X } \otimes _ { f } - 1 _ { O _ { Y } } f ^ { - 1 } N$ ; confidence 0.906

219. d12023063.png ; $R = \sum _ { i = 0 } ^ { n - 1 } Z ^ { i } G J G ^ { * } Z ^ { * i } =$ ; confidence 0.906

220. f04127050.png ; $x \in D ( A )$ ; confidence 0.906

221. g04333080.png ; $\omega = 1 / c ^ { 2 }$ ; confidence 0.906

222. l058360172.png ; $\mathfrak { A } ^ { - }$ ; confidence 0.906

223. p07565068.png ; $X \cap U = \{ x \in U : \phi ( x ) > 0 \}$ ; confidence 0.906

224. r08113085.png ; $c t ^ { \prime } = x ^ { \prime } \operatorname { sinh } \psi + c t \operatorname { cosh } \psi$ ; confidence 0.906

225. w12008025.png ; $W ( f \times g ) = W ( f ) . W ( g )$ ; confidence 0.906

226. a130240177.png ; $\alpha$ ; confidence 0.905

227. l0609706.png ; $\alpha = R \operatorname { ln } \operatorname { tan } ( \frac { \pi } { 4 } + \frac { u } { 2 R } )$ ; confidence 0.905

228. n06634043.png ; $\Sigma _ { n - 1 } ( x )$ ; confidence 0.905

229. p07251047.png ; $d y _ { 0 } - \sum _ { j = 1 } ^ { p } z _ { j } d y _ { j } = 0$ ; confidence 0.905

230. p07309030.png ; $V \cap L$ ; confidence 0.905

231. r081470221.png ; $\oplus R ( S _ { n } )$ ; confidence 0.905

232. u09529022.png ; $w = \operatorname { sin }$ ; confidence 0.905

233. a01018032.png ; $A _ { n } = B n ^ { s _ { 1 } } ( \operatorname { ln } n ) ^ { \alpha } + O ( n ^ { \beta } )$ ; confidence 0.905

234. a01325046.png ; $0 \notin f ( \partial D )$ ; confidence 0.904

235. e12012065.png ; $\propto \| \Sigma \| ^ { - 1 / 2 } [ \nu + ( y - \mu ) ^ { T } \Sigma ^ { - 1 } ( y - \mu ) ] ^ { - ( \nu + p ) / 2 }$ ; confidence 0.904

236. g0432908.png ; $\alpha _ { k } = \frac { \Gamma ( \gamma + k + 1 ) } { \Gamma ( \gamma + 1 ) } \sqrt { \frac { \Gamma ( \alpha _ { 1 } + 1 ) \Gamma ( \alpha _ { 2 } + 1 ) } { \Gamma ( \alpha _ { 1 } + k + 1 ) \Gamma ( \alpha _ { 2 } + k + 1 ) } }$ ; confidence 0.904

237. s09076059.png ; $p ( \alpha )$ ; confidence 0.904

238. t0946003.png ; $\alpha \geq A _ { 0 }$ ; confidence 0.904

239. a130240335.png ; $F = E X$ ; confidence 0.904

240. c02204033.png ; $h ^ { * } ( pt )$ ; confidence 0.903

241. e035250143.png ; $\Delta \Delta w _ { 0 } = 0$ ; confidence 0.903

242. i05073087.png ; $\chi _ { \pi } ( g ) = \sum _ { \{ \delta : \delta y \in H \delta \} } \chi _ { \rho } ( \delta g \delta ^ { - 1 } )$ ; confidence 0.903

243. o07004017.png ; $\operatorname { lim } \alpha / \beta = 0$ ; confidence 0.903

244. v13007046.png ; $q e ^ { ( - i \theta ) }$ ; confidence 0.903

245. a130240223.png ; $\zeta _ { i } = E ( z _ { i } )$ ; confidence 0.903

246. a130240301.png ; $\hat { \eta } \Omega$ ; confidence 0.902

247. s11033016.png ; $- 5 \rightarrow - 14 \rightarrow - 7 \rightarrow - 20 \rightarrow - 10 \rightarrow - 5$ ; confidence 0.902

248. a01021056.png ; $n = 1$ ; confidence 0.901

249. a11001071.png ; $k ( A ) = \| A ^ { - 1 } \| A \|$ ; confidence 0.901

250. t120010104.png ; $\operatorname { Sp } ( n + 1 ) / \operatorname { Sp } ( n ) , \quad \operatorname { Sp } ( n + 1 ) / \operatorname { Sp } ( n ) \times Z _ { 2 }$ ; confidence 0.901

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

252. c020740168.png ; $F ( 1 _ { A } ) = 1 _ { F A }$ ; confidence 0.901

253. n06794014.png ; $N > 5$ ; confidence 0.901

254. b11013012.png ; $M _ { d } ^ { * } = M _ { d }$ ; confidence 0.900

255. b015350300.png ; $\delta _ { i k } = 0$ ; confidence 0.900

256. b01685023.png ; $E = \sum _ { i = 1 } ^ { M } \epsilon _ { i } N _ { i }$ ; confidence 0.900

257. e12006018.png ; $T p ( A _ { y } ) = A$ ; confidence 0.900

258. a110010185.png ; $\lambda$ ; confidence 0.899

259. a130240496.png ; $s = 2$ ; confidence 0.899

260. a01020027.png ; $3$ ; confidence 0.899

261. a0119906.png ; $\pi _ { k } ( x )$ ; confidence 0.899

262. d03353048.png ; $\pi ( y ) - \operatorname { li } y > - M y \operatorname { log } ^ { - m } y$ ; confidence 0.899

263. e03536067.png ; $\langle P ^ { ( 2 ) } \rangle$ ; confidence 0.899

264. l058360168.png ; $x$ ; confidence 0.899

265. w12007015.png ; $q$ ; confidence 0.899

266. a110420160.png ; $K _ { 0 } ( B ) = Z + \theta Z$ ; confidence 0.898

267. c12004049.png ; $f \in H _ { c } ( D )$ ; confidence 0.898

268. h04628059.png ; $x ^ { ( 1 ) } = x ^ { ( 1 ) } ( t )$ ; confidence 0.898

269. r0824307.png ; $I ( A ) = \operatorname { Ker } ( \epsilon )$ ; confidence 0.898

270. w12014036.png ; $S \square T$ ; confidence 0.898

271. a11002046.png ; $GF ( q )$ ; confidence 0.897

272. c02055049.png ; $1$ ; confidence 0.897

273. f120080135.png ; $\Lambda _ { G } = 1$ ; confidence 0.897

274. o13006047.png ; $\frac { 1 } { i } ( A _ { k } - A _ { k } ^ { * } ) = \Phi ^ { * } \sigma _ { k } \Phi$ ; confidence 0.897

275. a01018010.png ; $R \in [ 0 , \infty ]$ ; confidence 0.897

276. a11002010.png ; $g \neq 1$ ; confidence 0.896

277. a13013035.png ; $Q _ { 0 } = P _ { 0 }$ ; confidence 0.896

278. i05113068.png ; $\overline { \rho } _ { L }$ ; confidence 0.896

279. s086940114.png ; $\operatorname { det } S \neq 0$ ; confidence 0.896

280. a130240363.png ; $SS _ { H }$ ; confidence 0.895

281. a1300106.png ; $B$ ; confidence 0.895

282. a130240106.png ; $t$ ; confidence 0.895

283. b12016030.png ; $x _ { i } ^ { \prime \prime } = x _ { i } ^ { \prime }$ ; confidence 0.895

284. g043810179.png ; $\alpha f \in D ^ { \prime } ( O )$ ; confidence 0.895

285. h047380204.png ; $\sum _ { \nu \in A } \| x _ { \nu } \| ^ { 2 } < \infty$ ; confidence 0.895

286. i05162045.png ; $\Gamma ( z ) = \frac { 1 } { e ^ { 2 i \pi z } - 1 } \int _ { L _ { 1 } } \zeta ^ { z - 1 } e ^ { - \zeta } d \zeta$ ; confidence 0.895

287. s0858103.png ; $\phi : U \rightarrow \sum _ { i \in I } U _ { l }$ ; confidence 0.895

288. w120110192.png ; $X \in \Phi$ ; confidence 0.895

289. a01018022.png ; $\phi ( s ) = \sum _ { n = 1 } ^ { \infty } \alpha _ { n } e ^ { - \lambda _ { n } s } , \quad s = \sigma + i t , \quad \lambda _ { n } > 0$ ; confidence 0.894

290. a12022022.png ; $Y$ ; confidence 0.894

291. a11016019.png ; $x _ { k + 1 } = M ^ { - 1 } ( N x _ { k } + b )$ ; confidence 0.894

292. a01431027.png ; $\exists x A$ ; confidence 0.894

293. c11048046.png ; $D ^ { \perp }$ ; confidence 0.893

294. e110070191.png ; $f ^ { \prime } ( 1 ) = \prod _ { n > 0 } ( \frac { 1 - q ^ { 2 n } } { 1 + q ^ { 2 n } } ) ^ { 2 }$ ; confidence 0.893

295. c022780356.png ; $\Omega$ ; confidence 0.892

296. c02490030.png ; $q = p ^ { r }$ ; confidence 0.892

297. e12023061.png ; $L \mapsto E ( L )$ ; confidence 0.892

298. h0484406.png ; $w = z ^ { - \gamma / 2 } ( z - 1 ) ^ { ( \gamma - \alpha - \beta - 1 ) / 2 } u$ ; confidence 0.892

299. l05949032.png ; $\alpha ^ { ( 0 ) }$ ; confidence 0.892

300. m064250151.png ; $\tau \cup A C \cup B C$ ; confidence 0.892

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/6. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/6&oldid=43856