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(AUTOMATIC EDIT of page 8 out of 14 with 300 lines: Updated image/latex database (currently 4097 images latexified; order by Confidence, ascending: False.)
(AUTOMATIC EDIT of page 8 out of 16 with 300 lines: Updated image/latex database (currently 4546 images latexified; order by Confidence, ascending: False.)
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== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/w/w098/w098160/w09816057.png ; $Y \times X$ ; confidence 0.869
+
1. 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
  
2. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240226.png ; $\zeta _ { r + 1 } = \ldots = \zeta _ { n } = 0$ ; confidence 0.868
+
2. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050267.png ; $C > 0$ ; confidence 0.904
  
3. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240209.png ; $S$ ; confidence 0.868
+
3. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013250/a01325046.png ; $0 \notin f ( \partial D )$ ; confidence 0.904
  
4. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120160/m12016065.png ; $\Omega _ { p _ { 1 } n _ { 1 } } ( t ^ { \prime } t ^ { \prime } )$ ; confidence 0.868
+
4. 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
  
5. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073700/p073700205.png ; $l _ { n } = \# \{ s \in S : d ( s ) = n \}$ ; confidence 0.868
+
5. 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
  
6. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650145.png ; $\phi * : H ^ { * } ( B / S ) = H ^ { * } ( T M ) \rightarrow H ^ { * } ( M )$ ; confidence 0.867
+
6. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090760/s09076059.png ; $p ( \alpha )$ ; confidence 0.904
  
7. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l05700011.png ; $M N$ ; confidence 0.867
+
7. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094600/t0946003.png ; $\alpha \geq A _ { 0 }$ ; confidence 0.904
  
8. 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
+
8. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040789.png ; $g \circ h = g ^ { \prime } \circ h$ ; confidence 0.904
  
9. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042095.png ; $C ^ { * }$ ; confidence 0.866
+
9. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240335.png ; $F = E X$ ; confidence 0.904
  
10. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130130/d1301309.png ; $z = r \operatorname { cos } \theta$ ; confidence 0.866
+
10. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022040/c02204033.png ; $h ^ { * } ( pt )$ ; confidence 0.903
  
11. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110230/d11023041.png ; $K = \overline { K } \cap L _ { m } ( G )$ ; confidence 0.866
+
11. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035250/e035250143.png ; $\Delta \Delta w _ { 0 } = 0$ ; confidence 0.903
  
12. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036770/e03677067.png ; $\phi ^ { - 1 } ( b ) \cong P ^ { \prime } ( C )$ ; confidence 0.866
+
12. 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
  
13. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e03696065.png ; $y _ { j } \delta \theta$ ; confidence 0.866
+
13. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070040/o07004017.png ; $\operatorname { lim } \alpha / \beta = 0$ ; confidence 0.903
  
14. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075350/p07535088.png ; $P _ { s } ^ { l } ( k )$ ; confidence 0.866
+
14. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130070/v13007046.png ; $q e ^ { ( - i \theta ) }$ ; confidence 0.903
  
15. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s1202309.png ; $O ( r )$ ; confidence 0.866
+
15. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240223.png ; $\zeta _ { i } = E ( z _ { i } )$ ; confidence 0.903
  
16. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063920/m063920116.png ; $\int \int K d S$ ; confidence 0.865
+
16. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040207.png ; $\sigma \in H ^ { 0 } ( P ^ { 4 } , F )$ ; confidence 0.902
  
17. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240369.png ; $M _ { H } M _ { E } ^ { - 1 }$ ; confidence 0.865
+
17. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240301.png ; $\hat { \eta } \Omega$ ; confidence 0.902
  
18. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240240.png ; $\sigma ^ { 2 }$ ; confidence 0.864
+
18. https://www.encyclopediaofmath.org/legacyimages/s/s110/s110330/s11033016.png ; $- 5 \rightarrow - 14 \rightarrow - 7 \rightarrow - 20 \rightarrow - 10 \rightarrow - 5$ ; confidence 0.902
  
19. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110380/b11038070.png ; $\Theta f$ ; confidence 0.864
+
19. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010420/a0104206.png ; $Y _ { n } = X _ { 1 } + \ldots + X _ { n } + c$ ; confidence 0.902
  
20. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041250/f0412506.png ; $\infty \rightarrow \alpha / c$ ; confidence 0.864
+
20. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021056.png ; $n = 1$ ; confidence 0.901
  
21. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063590/m06359074.png ; $F \mapsto F ( P )$ ; confidence 0.864
+
21. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001071.png ; $k ( A ) = \| A ^ { - 1 } \| A \|$ ; confidence 0.901
  
22. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510139.png ; $L \subset Z ^ { 0 }$ ; confidence 0.864
+
22. 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
  
23. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087320/s08732031.png ; $\Pi ^ { * } \in C$ ; confidence 0.864
+
23. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011520/a01152028.png ; $G _ { X } = \{ g \in G : g x = x \}$ ; confidence 0.901
  
24. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093770/t09377039.png ; $g = R ^ { \alpha } f$ ; confidence 0.864
+
24. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020740/c020740168.png ; $F ( 1 _ { A } ) = 1 _ { F A }$ ; confidence 0.901
  
25. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310161.png ; $A W ^ { * }$ ; confidence 0.863
+
25. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067940/n06794014.png ; $N > 5$ ; confidence 0.901
  
26. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240544.png ; $20$ ; confidence 0.863
+
26. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004037.png ; $\varphi \in T$ ; confidence 0.901
  
27. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022013.png ; $T : X \rightarrow Y$ ; confidence 0.863
+
27. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006032.png ; $\operatorname { lim } _ { s \rightarrow \infty } \beta _ { X } ( s ) = 0$ ; confidence 0.900
  
28. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005085.png ; $0 \leq t _ { 1 } \leq \ldots \leq t _ { k } \leq T$ ; confidence 0.863
+
28. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010330/a01033012.png ; $\beta _ { \gamma } = \int _ { - \infty } ^ { + \infty } | x | ^ { r } p ( x ) d x$ ; confidence 0.900
  
29. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c02278058.png ; $O ( X ) = \oplus _ { n = - \infty } ^ { + \infty } O ^ { n } ( X )$ ; confidence 0.863
+
29. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040132.png ; $IPC$ ; confidence 0.900
  
30. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590370.png ; $x _ { 0 } ^ { 2 } + \ldots + x _ { n } ^ { 2 } = 0$ ; confidence 0.863
+
30. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040581.png ; $S 5 ^ { W }$ ; confidence 0.900
  
31. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012073.png ; $z | < R$ ; confidence 0.863
+
31. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110130/b11013012.png ; $M _ { d } ^ { * } = M _ { d }$ ; confidence 0.900
  
32. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013250/a01325015.png ; $\operatorname { arg } f$ ; confidence 0.862
+
32. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015350/b015350300.png ; $\delta _ { i k } = 0$ ; confidence 0.900
  
33. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055480/k05548036.png ; $\| g _ { \alpha \beta } \|$ ; confidence 0.862
+
33. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016850/b01685023.png ; $E = \sum _ { i = 1 } ^ { M } \epsilon _ { i } N _ { i }$ ; confidence 0.900
  
34. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072210/p07221037.png ; $F ^ { k }$ ; confidence 0.862
+
34. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120060/e12006018.png ; $T p ( A _ { y } ) = A$ ; confidence 0.900
  
35. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093330/t09333059.png ; $r _ { 2 } \in R$ ; confidence 0.862
+
35. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002023.png ; $t \in I$ ; confidence 0.900
  
36. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081430/r08143081.png ; $e X$ ; confidence 0.861
+
36. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010185.png ; $\lambda$ ; confidence 0.899
  
37. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026980/c02698053.png ; $E _ { 8 }$ ; confidence 0.860
+
37. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240496.png ; $s = 2$ ; confidence 0.899
  
38. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066520/n06652019.png ; $\epsilon < \epsilon ^ { \prime } < \ldots$ ; confidence 0.860
+
38. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020027.png ; $3$ ; confidence 0.899
  
39. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097670/w097670169.png ; $\operatorname { gr } ( A _ { 1 } ( K ) )$ ; confidence 0.860
+
39. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011990/a0119906.png ; $\pi _ { k } ( x )$ ; confidence 0.899
  
40. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040106.png ; $L ] = \lambda$ ; confidence 0.859
+
40. 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/a130/a130240/a130240341.png ; $Z , \Gamma , F$ ; confidence 0.859
+
41. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035360/e03536067.png ; $\langle P ^ { ( 2 ) } \rangle$ ; confidence 0.899
  
42. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017800/b01780053.png ; $n = p$ ; confidence 0.858
+
42. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058360/l058360168.png ; $x$ ; confidence 0.899
  
43. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025470/c02547063.png ; $\alpha = d t + \sum p _ { i } d q _ { i }$ ; confidence 0.858
+
43. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w12007015.png ; $q$ ; confidence 0.899
  
44. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130020/e13002010.png ; $\varphi$ ; confidence 0.858
+
44. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120040/a12004016.png ; $x _ { 0 } \in \overline { D ( A ) }$ ; confidence 0.898
  
45. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063920/m063920117.png ; $\int \int K d S \leq 2 \pi ( \chi - k )$ ; confidence 0.858
+
45. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420160.png ; $K _ { 0 } ( B ) = Z + \theta Z$ ; confidence 0.898
  
46. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082570/r08257030.png ; $j 2 ^ { - k - l }$ ; confidence 0.858
+
46. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120040/c12004049.png ; $f \in H _ { c } ( D )$ ; confidence 0.898
  
47. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240391.png ; $( M _ { H } M _ { E } ^ { - 1 } ) >$ ; confidence 0.858
+
47. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046280/h04628059.png ; $x ^ { ( 1 ) } = x ^ { ( 1 ) } ( t )$ ; confidence 0.898
  
48. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240384.png ; $q \geq 2$ ; confidence 0.857
+
48. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082430/r0824307.png ; $I ( A ) = \operatorname { Ker } ( \epsilon )$ ; confidence 0.898
  
49. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a1301304.png ; $8$ ; confidence 0.857
+
49. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120140/w12014036.png ; $S \square T$ ; confidence 0.898
  
50. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240354.png ; $E ( Z _ { 2 } )$ ; confidence 0.857
+
50. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002046.png ; $GF ( q )$ ; confidence 0.897
  
51. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036910/e03691052.png ; $z = \operatorname { ln } \alpha = \operatorname { ln } | \alpha | + i \operatorname { Arg } \alpha$ ; confidence 0.857
+
51. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010330/a0103305.png ; $\beta _ { r } = E | X | ^ { r }$ ; confidence 0.897
  
52. 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
+
52. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040240.png ; $\Gamma \cup \{ \varphi \} \subseteq Fm$ ; confidence 0.897
  
53. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040206.png ; $\{ \sigma = 0 \} \subset P ^ { 4 }$ ; confidence 0.856
+
53. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046014.png ; $\delta f ( \alpha , h )$ ; confidence 0.897
  
54. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004020.png ; $a$ ; confidence 0.856
+
54. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020550/c02055049.png ; $1$ ; confidence 0.897
  
55. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021620/c02162087.png ; $\kappa ( \eta ^ { q } ) \in H ^ { 2 q } ( B )$ ; confidence 0.856
+
55. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120080/f120080135.png ; $\Lambda _ { G } = 1$ ; confidence 0.897
  
56. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036980/e03698026.png ; $\alpha : G \rightarrow \operatorname { Aut } A$ ; confidence 0.856
+
56. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o13006047.png ; $\frac { 1 } { i } ( A _ { k } - A _ { k } ^ { * } ) = \Phi ^ { * } \sigma _ { k } \Phi$ ; confidence 0.897
  
57. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240513.png ; $T _ { 2 }$ ; confidence 0.856
+
57. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018010.png ; $R \in [ 0 , \infty ]$ ; confidence 0.897
  
58. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016170/b01617013.png ; $F _ { n } ( z )$ ; confidence 0.855
+
58. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002010.png ; $g \neq 1$ ; confidence 0.896
  
59. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041310/f04131029.png ; $\Lambda = \frac { \partial } { \partial x } + i \frac { \partial } { \partial y }$ ; confidence 0.855
+
59. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013035.png ; $Q _ { 0 } = P _ { 0 }$ ; confidence 0.896
  
60. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130060/b13006060.png ; $b _ { i }$ ; confidence 0.854
+
60. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051130/i05113068.png ; $\overline { \rho } _ { L }$ ; confidence 0.896
  
61. 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
+
61. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086940/s086940114.png ; $\operatorname { det } S \neq 0$ ; confidence 0.896
  
62. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086960/s08696076.png ; $V < 0$ ; confidence 0.854
+
62. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240363.png ; $SS _ { H }$ ; confidence 0.895
  
63. 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
+
63. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300106.png ; $B$ ; confidence 0.895
  
64. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012068.png ; $\{ \nu _ { k } \} \cap \{ \mu _ { n } \} = \emptyset$ ; confidence 0.853
+
64. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240106.png ; $t$ ; confidence 0.895
  
65. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001017.png ; $x = A ^ { - 1 } b$ ; confidence 0.852
+
65. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120160/b12016030.png ; $x _ { i } ^ { \prime \prime } = x _ { i } ^ { \prime }$ ; confidence 0.895
  
66. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240302.png ; $\hat { \eta } \omega$ ; confidence 0.852
+
66. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g043810179.png ; $\alpha f \in D ^ { \prime } ( O )$ ; confidence 0.895
  
67. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033980/d03398025.png ; $\sum _ { m = 1 } ^ { \infty } u _ { m n n }$ ; confidence 0.852
+
67. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047380/h047380204.png ; $\sum _ { \nu \in A } \| x _ { \nu } \| ^ { 2 } < \infty$ ; confidence 0.895
  
68. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035110/e03511022.png ; $\Sigma - 1$ ; confidence 0.852
+
68. 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
  
69. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092600/t092600123.png ; $B = I _ { p }$ ; confidence 0.852
+
69. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085810/s0858103.png ; $\phi : U \rightarrow \sum _ { i \in I } U _ { l }$ ; confidence 0.895
  
70. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023250/c023250173.png ; $\beta _ { 0 }$ ; confidence 0.851
+
70. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110192.png ; $X \in \Phi$ ; confidence 0.895
  
71. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110050/h11005031.png ; $w _ { 2 } = f ( r _ { 1 } ) \ldots f ( r _ { n } )$ ; confidence 0.851
+
71. 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
  
72. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059110/l05911087.png ; $l _ { 2 } u = \phi _ { 2 } ( t )$ ; confidence 0.851
+
72. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022022.png ; $Y$ ; confidence 0.894
  
73. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l120120133.png ; $( K _ { p } ) _ { i n s }$ ; confidence 0.851
+
73. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016019.png ; $x _ { k + 1 } = M ^ { - 1 } ( N x _ { k } + b )$ ; confidence 0.894
  
74. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001029.png ; $| b | \leq \| A |$ ; confidence 0.850
+
74. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014310/a01431027.png ; $\exists x A$ ; confidence 0.894
  
75. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040143.png ; $S 5$ ; confidence 0.850
+
75. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110480/c11048046.png ; $D ^ { \perp }$ ; confidence 0.893
  
76. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130250/c13025017.png ; $Y _ { j } = i$ ; confidence 0.850
+
76. 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
  
77. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050950/i05095033.png ; $S = \frac { K } { 3 }$ ; confidence 0.850
+
77. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780356.png ; $\Omega$ ; confidence 0.892
  
78. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c02278052.png ; $N \gg n$ ; confidence 0.849
+
78. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024900/c02490030.png ; $q = p ^ { r }$ ; confidence 0.892
  
79. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024890/c0248905.png ; $\alpha ( x ) - b ( x ) = f ( x ) g ( x ) + p h ( x )$ ; confidence 0.849
+
79. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023061.png ; $L \mapsto E ( L )$ ; confidence 0.892
  
80. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040230/f040230100.png ; $x _ { n } = n$ ; confidence 0.849
+
80. 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
  
81. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064580/m06458025.png ; $k _ { 1 } + \ldots + k _ { n } = k$ ; confidence 0.849
+
81. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059490/l05949032.png ; $\alpha ^ { ( 0 ) }$ ; confidence 0.892
  
82. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004044.png ; $( Z / d _ { 1 } Z ) ^ { 2 } \times ( Z / d _ { 2 } Z ) ^ { 2 }$ ; confidence 0.848
+
82. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064250/m064250151.png ; $\tau \cup A C \cup B C$ ; confidence 0.892
  
83. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044470/g044470103.png ; $\psi \circ \phi = \phi ^ { \prime } \circ \psi$ ; confidence 0.848
+
83. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086160/s0861605.png ; $J _ { m + n + 1 } ( x ) =$ ; confidence 0.892
  
84. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066890/n06689067.png ; $v = 1.1 m / sec$ ; confidence 0.848
+
84. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050182.png ; $a ( n )$ ; confidence 0.892
  
85. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680179.png ; $\phi _ { x y } a \leq b$ ; confidence 0.847
+
85. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024051.png ; $3$ ; confidence 0.891
  
86. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130080/d13008069.png ; $H = C ^ { n }$ ; confidence 0.847
+
86. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017290/b01729042.png ; $\partial M _ { A } \subset X \subset M _ { A }$ ; confidence 0.891
  
87. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040468.png ; $CPC$ ; confidence 0.846
+
87. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024780/c024780261.png ; $( x ^ { 2 } / a ^ { 2 } ) + ( y ^ { 2 } / b ^ { 2 } ) = 1$ ; confidence 0.891
  
88. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a130130103.png ; $K P$ ; confidence 0.846
+
88. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040580/f04058050.png ; $\frac { | \sigma _ { i } | } { ( \operatorname { diam } \sigma _ { i } ) ^ { n } } \geq \eta$ ; confidence 0.891
  
89. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110580/a11058047.png ; $= v : q$ ; confidence 0.846
+
89. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a1100208.png ; $n = k - \lambda$ ; confidence 0.891
  
90. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120070/e12007012.png ; $\Gamma _ { q }$ ; confidence 0.846
+
90. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040127.png ; $A$ ; confidence 0.891
  
91. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120080/f120080162.png ; $L _ { q } ( X )$ ; confidence 0.846
+
91. 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
  
92. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a120160130.png ; $W E = R . F . I$ ; confidence 0.845
+
92. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420126.png ; $K _ { 0 } ( \tau ) ( [ p ] _ { 0 } - [ q ] _ { 0 } ) = \tau ( p ) - \tau ( q )$ ; confidence 0.889
  
93. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036070/e03607020.png ; $\tau _ { n } ^ { ( B ) }$ ; confidence 0.845
+
93. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013047.png ; $i$ ; confidence 0.889
  
94. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058820/l058820138.png ; $\operatorname { lim } _ { x \rightarrow x _ { 0 } } f ( x ) = \alpha$ ; confidence 0.845
+
94. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600128.png ; $f _ { 1 } = \ldots = f _ { m }$ ; confidence 0.889
  
95. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064720/m0647206.png ; $f _ { E } ^ { \prime } ( \zeta )$ ; confidence 0.845
+
95. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085210/s08521071.png ; $\square ^ { 2 } F _ { 4 } ( q ) ^ { \prime }$ ; confidence 0.889
  
96. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070220/o07022036.png ; $E$ ; confidence 0.845
+
96. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021022.png ; $\omega ^ { * } \overline { \pi }$ ; confidence 0.888
  
97. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074690/p07469030.png ; $\pi G ( x ) = b$ ; confidence 0.845
+
97. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001054.png ; $\| A \| = 10 ^ { 5 }$ ; confidence 0.887
  
98. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082230/r0822307.png ; $| x _ { i } | \leq 1$ ; confidence 0.845
+
98. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020066.png ; $A \oplus B$ ; confidence 0.887
  
99. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022026.png ; $C ^ { p } / \Gamma$ ; confidence 0.843
+
99. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027240/c02724015.png ; $x ^ { 3 } + y ^ { 3 } - 3 a x y = 0$ ; confidence 0.887
  
100. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a12031093.png ; $I _ { 1 }$ ; confidence 0.843
+
100. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063140/m06314012.png ; $- \frac { \partial D } { \partial t } + \operatorname { rot } H = J$ ; confidence 0.887
  
101. 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
+
101. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072370/p07237060.png ; $\overline { \Omega } _ { k } \subset \Omega _ { k + 1 }$ ; confidence 0.887
  
102. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120010/j12001037.png ; $\operatorname { log } F \leq 100$ ; confidence 0.843
+
102. 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
  
103. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075350/p07535017.png ; $q IL$ ; confidence 0.843
+
103. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096870/v09687032.png ; $\tau _ { j } < 0$ ; confidence 0.887
  
104. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001087.png ; $= \| ( I - ( I - B A ) ) ^ { - 1 } B r \| \leq$ ; confidence 0.843
+
104. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011079.png ; $A ^ { * } \sigma A = \sigma$ ; confidence 0.887
  
105. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240357.png ; $n - r \geq p$ ; confidence 0.843
+
105. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120060/a1200603.png ; $\Omega \subset R ^ { m }$ ; confidence 0.887
  
106. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042077.png ; $K _ { 0 } ( \varphi ) = K _ { 0 } ( \psi )$ ; confidence 0.842
+
106. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b01747034.png ; $( i i + 1 )$ ; confidence 0.886
  
107. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i050230312.png ; $- \infty < r < \infty$ ; confidence 0.842
+
107. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120110/m12011054.png ; $\pi _ { 1 } ( M ) \neq Z _ { 2 }$ ; confidence 0.886
  
108. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051880/i05188051.png ; $\mathfrak { M } \in S _ { 1 }$ ; confidence 0.842
+
108. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075350/p075350108.png ; $P _ { n } ( R )$ ; confidence 0.886
  
109. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a1202209.png ; $x | < e$ ; confidence 0.841
+
109. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096650/v0966506.png ; $n \geq 12$ ; confidence 0.886
  
110. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082290/r08229026.png ; $y _ { n } \leq x _ { n } \leq z _ { n }$ ; confidence 0.841
+
110. 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
  
111. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001044.png ; $k ( A ) = 10 ^ { p }$ ; confidence 0.841
+
111. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001030.png ; $5$ ; confidence 0.885
  
112. 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
+
112. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110150/f11015067.png ; $t \subset v$ ; confidence 0.885
  
113. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037080/e03708073.png ; $x _ { i } ^ { 2 } = 0$ ; confidence 0.840
+
113. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097910/w09791036.png ; $L _ { - } ( \lambda ) C ( \lambda ) / B ( \lambda )$ ; confidence 0.885
  
114. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f12011010.png ; $| \varphi ( z ) | ^ { 2 } e ^ { \delta | z | }$ ; confidence 0.840
+
114. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005024.png ; $u ( 0 ) = u _ { 0 }$ ; confidence 0.885
  
115. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120070/g12007022.png ; $m \equiv 4$ ; confidence 0.840
+
115. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024085.png ; $\gamma _ { i j }$ ; confidence 0.884
  
116. 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
+
116. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240334.png ; $\Gamma = B X$ ; confidence 0.884
  
117. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022039.png ; $A l ( z ) = A l ( z _ { 1 } , \dots , z _ { p } ) =$ ; confidence 0.840
+
117. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240239.png ; $MS _ { e }$ ; confidence 0.884
  
118. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010188.png ; $M _ { i } = \{ z : | z - \lambda _ { i } | \leq \| T ^ { - 1 } \| \| T \| \delta A \| \}$ ; confidence 0.839
+
118. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110170/c11017044.png ; $C \rho _ { p } C ^ { \prime }$ ; confidence 0.884
  
119. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020740/c020740328.png ; $e \in E$ ; confidence 0.839
+
119. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120190/c12019044.png ; $T ( M )$ ; confidence 0.884
  
120. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300102.png ; $C$ ; confidence 0.838
+
120. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057610/l05761045.png ; $m < n ^ { ( 1 / 3 ) - \delta }$ ; confidence 0.883
  
121. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022031.png ; $0 \leq S \leq T$ ; confidence 0.838
+
121. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130180/m130180141.png ; $H _ { n - 2 }$ ; confidence 0.883
  
122. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062490/m06249026.png ; $\Lambda \in N ^ { t }$ ; confidence 0.838
+
122. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010293.png ; $\leq k ( T ) _ { 1 \leq r \leq m - 1,1 \leq i \leq p } \frac { | f ^ { ( r ) } ( \lambda _ { i } ) - g ^ { ( r ) } ( \lambda _ { i } ) | } { r ! } m _ { i }$ ; confidence 0.883
  
123. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024069.png ; $y _ { i j k }$ ; confidence 0.838
+
123. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780207.png ; $e ^ { x _ { i } } - 1$ ; confidence 0.882
  
124. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110080/a11008026.png ; $s = \eta c / \omega$ ; confidence 0.837
+
124. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026910/c02691013.png ; $\Gamma ( C ) = V$ ; confidence 0.882
  
125. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055450/k0554502.png ; $u | _ { \Sigma } = 0$ ; confidence 0.837
+
125. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650262.png ; $K ( T M ^ { g } ) \otimes C \rightarrow C$ ; confidence 0.882
  
126. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059250/l05925090.png ; $v \in ( 1 - t ) V$ ; confidence 0.837
+
126. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110140/l11014038.png ; $\epsilon$ ; confidence 0.882
  
127. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085620/s085620184.png ; $f _ { t } = h _ { t } \circ f _ { 0 } \circ k _ { t }$ ; confidence 0.837
+
127. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120040/s120040132.png ; $\lambda ^ { s _ { \mu } } = \sum _ { \nu } c _ { \lambda \mu } ^ { \nu } s _ { \nu }$ ; confidence 0.882
  
128. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090450/s09045062.png ; $\zeta ^ { \phi } \in C ^ { d }$ ; confidence 0.837
+
128. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040786.png ; $A , B \in K$ ; confidence 0.882
  
129. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010301.png ; $f ^ { ( r ) } ( \lambda )$ ; confidence 0.837
+
129. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040126.png ; $4$ ; confidence 0.882
  
130. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240168.png ; $\alpha , = 0$ ; confidence 0.837
+
130. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120280/a120280141.png ; $S _ { E } = \{ \omega \in \hat { G } : E + \omega \subseteq E \}$ ; confidence 0.881
  
131. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012045.png ; $S _ { \alpha } = W _ { 1 } , \quad W _ { \alpha } = W _ { 1 } , \quad 0 \leq \alpha < \infty$ ; confidence 0.837
+
131. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048420/h0484203.png ; $F _ { + } ( x + i 0 ) - F _ { - } ( x - i 0 )$ ; confidence 0.881
  
132. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010330/a01033019.png ; $\operatorname { log } \beta _ { \gamma }$ ; confidence 0.836
+
132. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081600/r08160033.png ; $y _ { 2 } = ( x _ { 1 } + x _ { 3 } ) ( x _ { 2 } + x _ { 4 } )$ ; confidence 0.881
  
133. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032610/d03261012.png ; $y = y _ { 0 } - a n$ ; confidence 0.836
+
133. https://www.encyclopediaofmath.org/legacyimages/y/y099/y099070/y09907014.png ; $t _ { \lambda } ^ { \prime }$ ; confidence 0.881
  
134. 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
+
134. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539044.png ; $i , j = 1,2$ ; confidence 0.881
  
135. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040284.png ; $\square x \rightarrow y$ ; confidence 0.836
+
135. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050176.png ; $F _ { q }$ ; confidence 0.880
  
136. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110100/b11010099.png ; $\| T \| T ^ { - 1 } \| \geq c n$ ; confidence 0.835
+
136. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040403.png ; $P K$ ; confidence 0.879
  
137. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025440/c02544025.png ; $D ^ { + } = \cup _ { k = 1 } ^ { m } D _ { k }$ ; confidence 0.835
+
137. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032600/d032600176.png ; $w _ { N } ( \alpha ) \geq n$ ; confidence 0.879
  
138. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110410/c11041081.png ; $\{ X _ { t } : t \in T \}$ ; confidence 0.835
+
138. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240222.png ; $r$ ; confidence 0.879
  
139. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240429.png ; $\Theta$ ; confidence 0.834
+
139. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029079.png ; $X _ { \delta }$ ; confidence 0.879
  
140. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650252.png ; $\forall x _ { k }$ ; confidence 0.834
+
140. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025170/c02517037.png ; $\omega ^ { k } = d x ^ { k }$ ; confidence 0.878
  
141. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110070/e11007046.png ; $C x ^ { - 1 }$ ; confidence 0.834
+
141. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026460/c0264605.png ; $\alpha _ { i } < b _ { i }$ ; confidence 0.878
  
142. 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
+
142. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120060/l12006098.png ; $H \phi$ ; confidence 0.878
  
143. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a01406076.png ; $\mathfrak { A } _ { s _ { 1 } }$ ; confidence 0.833
+
143. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093990/t09399044.png ; $Q _ { 1 } \cup \square \ldots \cup Q _ { m }$ ; confidence 0.878
  
144. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015350/b01535027.png ; $\alpha _ { i } \in \Omega$ ; confidence 0.833
+
144. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040153.png ; $C ^ { 2 } : 1 E$ ; confidence 0.878
  
145. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830269.png ; $\operatorname { ord } ( \theta ) = \sum e$ ; confidence 0.833
+
145. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050177.png ; $Z _ { q } ( y ) = \sum _ { n = 0 } ^ { \infty } q ^ { n } y ^ { n } = ( 1 - q y ) ^ { - 1 }$ ; confidence 0.877
  
146. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062590/m06259032.png ; $B = 0$ ; confidence 0.833
+
146. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026970/c02697049.png ; $| w | < 1 / 16$ ; confidence 0.877
  
147. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024082.png ; $\partial L = a$ ; confidence 0.832
+
147. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042210/f04221056.png ; $e _ { \lambda } ^ { 1 } \in X$ ; confidence 0.877
  
148. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015580/b0155806.png ; $p _ { i } = \nu ( \alpha _ { i } )$ ; confidence 0.832
+
148. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064430/m06443090.png ; $B O$ ; confidence 0.877
  
149. 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
+
149. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520250.png ; $d j \neq 0$ ; confidence 0.877
  
150. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013041.png ; $\sum _ { i = 0 } ^ { \infty } X _ { i } z ^ { - i }$ ; confidence 0.831
+
150. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002062.png ; $3$ ; confidence 0.876
  
151. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032250/d03225022.png ; $\partial M$ ; confidence 0.831
+
151. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110070/a11007023.png ; $: C ( K ) \rightarrow L _ { p } ( K , \mu )$ ; confidence 0.876
  
152. 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
+
152. 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
  
153. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s13064057.png ; $L ^ { 1 } ( R ) \cap L ^ { \infty } ( R )$ ; confidence 0.831
+
153. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a0101806.png ; $z = z 0$ ; confidence 0.876
  
154. 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
+
154. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120040/a12004024.png ; $| x ( t ) \| \leq c \| x _ { 0 } \| \text { for all } t \in [ 0 , \tau ]$ ; confidence 0.875
  
155. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090770/s090770137.png ; $\lambda _ { 1 } < \lambda _ { 2 } < \ldots$ ; confidence 0.830
+
155. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a1302403.png ; $n \times 1$ ; confidence 0.875
  
156. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010264.png ; $1 / m$ ; confidence 0.829
+
156. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012069.png ; $p ^ { * } y \leq \lambda ^ { * } p ^ { * } x$ ; confidence 0.875
  
157. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006027.png ; $A ; \in A$ ; confidence 0.829
+
157. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600189.png ; $( K / k )$ ; confidence 0.875
  
158. 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
+
158. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035250/e03525091.png ; $z _ { k } \in L$ ; confidence 0.875
  
159. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031680/d03168056.png ; $q _ { 2 } \neq q _ { 1 }$ ; confidence 0.828
+
159. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i130090231.png ; $( X ^ { \omega } \chi ^ { - 1 } ) = \pi ^ { \mu _ { \chi } ^ { * } } g _ { \chi } ^ { * } ( T )$ ; confidence 0.875
  
160. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059490/l059490217.png ; $\rho ^ { ( j ) }$ ; confidence 0.828
+
160. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058820/l058820374.png ; $\tau = \{ t _ { i } \} _ { i = 0 } ^ { i = n }$ ; confidence 0.875
  
161. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083000/s08300044.png ; $D _ { n } X _ { 1 }$ ; confidence 0.828
+
161. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060770/l0607706.png ; $\operatorname { inv } ( x )$ ; confidence 0.875
  
162. https://www.encyclopediaofmath.org/legacyimages/y/y110/y110010/y11001011.png ; $g ^ { \prime } = \phi ^ { 4 / ( n - 2 ) } g$ ; confidence 0.828
+
162. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093900/t09390073.png ; $g _ { n } ( \Omega )$ ; confidence 0.875
  
163. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002036.png ; $g \mapsto g ^ { t }$ ; confidence 0.827
+
163. 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
  
164. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021031.png ; $\| \omega \| ^ { 2 } = i \sum _ { j = 1 } ^ { g } ( A _ { j } \overline { B } _ { j } - B _ { j } \overline { A } _ { j } ) \geq 0$ ; confidence 0.827
+
164. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050132.png ; $R ^ { N }$ ; confidence 0.875
  
165. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110050/c11005010.png ; $CW ( 9.63 )$ ; confidence 0.827
+
165. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010299.png ; $m$ ; confidence 0.874
  
166. 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
+
166. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064440/m06444056.png ; $c = 0$ ; confidence 0.874
  
167. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075830/p0758301.png ; $a \vee b$ ; confidence 0.827
+
167. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085830/s08583016.png ; $| w | = \rho < 1$ ; confidence 0.874
  
168. 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
+
168. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046086.png ; $f ( \alpha + h ) = \sum _ { n = 0 } ^ { \infty } P _ { n } ( h )$ ; confidence 0.873
  
169. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130090/c13009010.png ; $x _ { j } = \operatorname { cos } ( \pi j / N )$ ; confidence 0.826
+
169. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040741.png ; $R ^ { \prime }$ ; confidence 0.873
  
170. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070340/o07034097.png ; $y = K _ { n } ( x )$ ; confidence 0.826
+
170. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240408.png ; $y _ { i j k }$ ; confidence 0.873
  
171. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590585.png ; $\| x \| = \rho$ ; confidence 0.826
+
171. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013000/a01300057.png ; $L _ { p } ( E )$ ; confidence 0.872
  
172. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047930/h04793027.png ; $x = [ u ]$ ; confidence 0.825
+
172. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l058590134.png ; $S \cap R ( G ) = ( e )$ ; confidence 0.872
  
173. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010252.png ; $\delta A = - r x ^ { * } / \| x \| _ { 2 } ^ { 2 }$ ; confidence 0.825
+
173. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a0101209.png ; $P _ { n } ^ { ( k ) } ( \lambda _ { k } ) = 0 , \quad k = 0 , \ldots , n - 1 ; \quad P _ { n } ^ { ( n ) } ( z ) \equiv 1$ ; confidence 0.872
  
174. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012050.png ; $z | > 1$ ; confidence 0.823
+
174. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024049.png ; $\int _ { L } * \phi _ { i }$ ; confidence 0.871
  
175. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035720/e0357202.png ; $\operatorname { lim } _ { k \rightarrow \infty } | \alpha _ { k } | ^ { 1 / k } = 0$ ; confidence 0.823
+
175. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046071.png ; $P _ { m } ( x , h ) \neq 0$ ; confidence 0.871
  
176. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075560/p075560134.png ; $( P . Q ) ! = ( P \times Q ) ! = ( P ! \times Q ! ) !$ ; confidence 0.823
+
176. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240230.png ; $\psi = \sum _ { i = 1 } ^ { r } d _ { i } \zeta _ { i }$ ; confidence 0.871
  
177. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013056.png ; $A _ { 1 } ^ { ( 1 ) }$ ; confidence 0.822
+
177. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010013.png ; $p _ { U } ( x ) = \operatorname { sup } \{ \mu ( x ) : \mu \in U ^ { \circ } \}$ ; confidence 0.871
  
178. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016670/b01667071.png ; $n _ { 1 } = 9$ ; confidence 0.822
+
178. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022062.png ; $R ^ { 2 p }$ ; confidence 0.871
  
179. 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
+
179. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t1200107.png ; $m = 2 i + 1$ ; confidence 0.871
  
180. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110130/m11013041.png ; $\beta + \gamma \simeq \alpha . S ( t )$ ; confidence 0.822
+
180. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110330/b11033038.png ; $P ^ { \prime }$ ; confidence 0.871
  
181. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004069.png ; $X ^ { * } = \Gamma \backslash D ^ { * }$ ; confidence 0.822
+
181. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051930/i051930181.png ; $Y = C$ ; confidence 0.871
  
182. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018017.png ; $20,21,22$ ; confidence 0.822
+
182. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a1302405.png ; $( n \times m )$ ; confidence 0.870
  
183. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022052.png ; $W ^ { T }$ ; confidence 0.822
+
183. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240510.png ; $\Theta = E ( Z _ { 12 } )$ ; confidence 0.870
  
184. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210116.png ; $d [ ( \omega ) ] = \alpha _ { 1 } + \ldots + \alpha _ { n }$ ; confidence 0.821
+
184. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110690/b11069080.png ; $M _ { A g }$ ; confidence 0.870
  
185. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043580/g04358023.png ; $f _ { \zeta } ( \lambda )$ ; confidence 0.821
+
185. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130180/d13018035.png ; $\| \hat { f } \| = \| f \| _ { 1 }$ ; confidence 0.870
  
186. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059140/l0591406.png ; $T _ { x _ { 1 } } ( M ) \rightarrow T _ { x _ { 0 } } ( M )$ ; confidence 0.821
+
186. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065570/m06557014.png ; $L _ { \cap } \Gamma = 0$ ; confidence 0.870
  
187. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082050/r08205056.png ; $\partial \overline { R } _ { \nu }$ ; confidence 0.821
+
187. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087350/s08735095.png ; $I _ { n } ( \theta ) = n I ( \theta )$ ; confidence 0.870
  
188. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015110/b01511035.png ; $U ( y ) = \int _ { \Gamma } f ( x ) d \beta _ { Y } ( x )$ ; confidence 0.820
+
188. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040725.png ; $S _ { P }$ ; confidence 0.869
  
189. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016990/b0169909.png ; $\Omega _ { M } ( \rho ) \in V _ { M } ^ { V ^ { n } }$ ; confidence 0.820
+
189. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001011.png ; $\xi = I ( \partial _ { r } )$ ; confidence 0.869
  
190. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021620/c02162091.png ; $c _ { q } ( \xi ) = \kappa ( \eta ^ { q } )$ ; confidence 0.820
+
190. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013076.png ; $P ^ { ( l ) }$ ; confidence 0.869
  
191. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d130060103.png ; $Z \in X$ ; confidence 0.820
+
191. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110570/b11057061.png ; $H _ { m }$ ; confidence 0.869
  
192. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035790/e03579057.png ; $\sum _ { n } ^ { - 1 }$ ; confidence 0.820
+
192. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026040/c02604071.png ; $A _ { n } x _ { n } = y _ { n }$ ; confidence 0.869
  
193. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026460/c02646028.png ; $x _ { k + 1 } = x _ { k } - \alpha _ { k } p _ { k }$ ; confidence 0.819
+
193. https://www.encyclopediaofmath.org/legacyimages/w/w098/w098160/w09816057.png ; $Y \times X$ ; confidence 0.869
  
194. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076810/q07681026.png ; $\alpha = \operatorname { lim } _ { t \rightarrow 0 } \frac { P ( e ( t ) \geq 1 ) } { t }$ ; confidence 0.819
+
194. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005061.png ; $A u \in C ( ( 0 , T ] ; X )$ ; confidence 0.869
  
195. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022110/c02211060.png ; $\xi _ { 1 } ^ { 2 } + \ldots + \xi _ { k - m - 1 } ^ { 2 } + \mu _ { 1 } \xi _ { k - m } ^ { 2 } + \ldots + \mu _ { m } \xi _ { k - 1 } ^ { 2 }$ ; confidence 0.818
+
195. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240226.png ; $\zeta _ { r + 1 } = \ldots = \zeta _ { n } = 0$ ; confidence 0.868
  
196. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026430/c02643058.png ; $F [ f ^ { * } g ] = \sqrt { 2 \pi } F [ f ] F [ g ]$ ; confidence 0.818
+
196. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240209.png ; $S$ ; confidence 0.868
  
197. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033850/d0338502.png ; $x \square ^ { j }$ ; confidence 0.818
+
197. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120160/m12016065.png ; $\Omega _ { p _ { 1 } n _ { 1 } } ( t ^ { \prime } t ^ { \prime } )$ ; confidence 0.868
  
198. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051150/i051150191.png ; $p ^ { t } ( . )$ ; confidence 0.817
+
198. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073700/p073700205.png ; $l _ { n } = \# \{ s \in S : d ( s ) = n \}$ ; confidence 0.868
  
199. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057110/l0571105.png ; $\{ \phi _ { n } \} _ { n = 1 } ^ { \infty }$ ; confidence 0.817
+
199. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650145.png ; $\phi * : H ^ { * } ( B / S ) = H ^ { * } ( T M ) \rightarrow H ^ { * } ( M )$ ; confidence 0.867
  
200. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081940/r08194033.png ; $G ( K ) \rightarrow G ( Q )$ ; confidence 0.817
+
200. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l05700011.png ; $M N$ ; confidence 0.867
  
201. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240312.png ; $SS _ { e } = \sum _ { i j k } ( y _ { i j k } - y _ { i j } ) ^ { 2 }$ ; confidence 0.817
+
201. 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
  
202. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012430/a01243088.png ; $f$ ; confidence 0.816
+
202. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042095.png ; $C ^ { * }$ ; confidence 0.866
  
203. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017340/b01734046.png ; $t _ { 0 } \in \partial S$ ; confidence 0.816
+
203. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130130/d1301309.png ; $z = r \operatorname { cos } \theta$ ; confidence 0.866
  
204. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021034.png ; $i ( \omega , \overline { \pi } ) = \sum _ { j = 1 } ^ { g } ( A _ { j } B _ { j } ^ { \prime } - B _ { j } A _ { j } ^ { \prime } ) = 0$ ; confidence 0.815
+
204. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110230/d11023041.png ; $K = \overline { K } \cap L _ { m } ( G )$ ; confidence 0.866
  
205. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087400/s087400105.png ; $\in \Theta _ { 0 } \beta _ { n } ( \theta ) \leq \alpha$ ; confidence 0.815
+
205. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036770/e03677067.png ; $\phi ^ { - 1 } ( b ) \cong P ^ { \prime } ( C )$ ; confidence 0.866
  
206. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022038.png ; $S , T \in L ( X )$ ; confidence 0.814
+
206. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e03696065.png ; $y _ { j } \delta \theta$ ; confidence 0.866
  
207. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021089.png ; $A _ { k } = \int _ { a _ { k } } \omega _ { 1 } , \quad B _ { k } = \int _ { b _ { k } } \omega _ { 1 }$ ; confidence 0.814
+
207. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075350/p07535088.png ; $P _ { s } ^ { l } ( k )$ ; confidence 0.866
  
208. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067850/n067850200.png ; $\operatorname { tr } _ { \sigma } A$ ; confidence 0.814
+
208. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s1202309.png ; $O ( r )$ ; confidence 0.866
  
209. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085210/s08521047.png ; $q ^ { 6 } ( q ^ { 2 } - 1 ) ( q ^ { 6 } - 1 )$ ; confidence 0.814
+
209. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063920/m063920116.png ; $\int \int K d S$ ; confidence 0.865
  
210. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120090/f12009069.png ; $F \mu$ ; confidence 0.813
+
210. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240369.png ; $M _ { H } M _ { E } ^ { - 1 }$ ; confidence 0.865
  
211. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050910/i05091079.png ; $Y _ { n k }$ ; confidence 0.813
+
211. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240240.png ; $\sigma ^ { 2 }$ ; confidence 0.864
  
212. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072370/p07237025.png ; $\underline { H } \square _ { f }$ ; confidence 0.812
+
212. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110380/b11038070.png ; $\Theta f$ ; confidence 0.864
  
213. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077380/r07738071.png ; $P \{ | \frac { K _ { n } } { n } - \frac { 1 } { 2 } | < \frac { 1 } { 4 } \} = 1 - 2 P \{ \frac { K _ { n } } { n } < \frac { 1 } { 4 } \} \approx 1 - \frac { 4 } { \pi } \frac { \pi } { 6 } = \frac { 1 } { 3 }$ ; confidence 0.812
+
213. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041250/f0412506.png ; $\infty \rightarrow \alpha / c$ ; confidence 0.864
  
214. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001028.png ; $k ( A ) = \| A ^ { - 1 } \| A \|$ ; confidence 0.811
+
214. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063590/m06359074.png ; $F \mapsto F ( P )$ ; confidence 0.864
  
215. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001035.png ; $SU ( 2 )$ ; confidence 0.811
+
215. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510139.png ; $L \subset Z ^ { 0 }$ ; confidence 0.864
  
216. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064540/m0645406.png ; $m _ { G } = D ( u ) / 2 \pi$ ; confidence 0.811
+
216. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087320/s08732031.png ; $\Pi ^ { * } \in C$ ; confidence 0.864
  
217. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120070/q12007060.png ; $R _ { q ^ { 2 } }$ ; confidence 0.811
+
217. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093770/t09377039.png ; $g = R ^ { \alpha } f$ ; confidence 0.864
  
218. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081160/r08116074.png ; $t + \tau$ ; confidence 0.811
+
218. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310161.png ; $A W ^ { * }$ ; confidence 0.863
  
219. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010195.png ; $\| ( \hat { \lambda } I - A ) ^ { - 1 } \delta A \| > 1$ ; confidence 0.810
+
219. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240544.png ; $20$ ; confidence 0.863
  
220. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001024.png ; $\delta x = A ^ { - 1 } ( - \delta A x - \delta A \delta x + \delta b )$ ; confidence 0.810
+
220. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022013.png ; $T : X \rightarrow Y$ ; confidence 0.863
  
221. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011620/a01162010.png ; $f ( x ) - P _ { n } ^ { 0 } ( x )$ ; confidence 0.810
+
221. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005085.png ; $0 \leq t _ { 1 } \leq \ldots \leq t _ { k } \leq T$ ; confidence 0.863
  
222. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051430/i05143039.png ; $\hat { \phi } ( x ) = \lambda \sum _ { i = 1 } ^ { n } C _ { i } \alpha _ { i } ( x ) + f ( x )$ ; confidence 0.810
+
222. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c02278058.png ; $O ( X ) = \oplus _ { n = - \infty } ^ { + \infty } O ^ { n } ( X )$ ; confidence 0.863
  
223. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010430/a01043018.png ; $= P \{ \tau ( H ) \leq t , \xi ( \tau ( H ) ) = h | \xi ( 0 ) = i \}$ ; confidence 0.810
+
223. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590370.png ; $x _ { 0 } ^ { 2 } + \ldots + x _ { n } ^ { 2 } = 0$ ; confidence 0.863
  
224. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130020/a1300202.png ; $T ; X \rightarrow X$ ; confidence 0.809
+
224. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012073.png ; $z | < R$ ; confidence 0.863
  
225. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029015.png ; $f _ { \alpha } : \alpha X \rightarrow \alpha Y$ ; confidence 0.809
+
225. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013250/a01325015.png ; $\operatorname { arg } f$ ; confidence 0.862
  
226. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024061.png ; $k = 1 , \ldots , K$ ; confidence 0.809
+
226. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055480/k05548036.png ; $\| g _ { \alpha \beta } \|$ ; confidence 0.862
  
227. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130030/b1300303.png ; $V ^ { \pm } \times V ^ { - } \times V ^ { \pm } \rightarrow V ^ { \pm }$ ; confidence 0.809
+
227. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072210/p07221037.png ; $F ^ { k }$ ; confidence 0.862
  
228. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110040/d1100407.png ; $S _ { p } ^ { n + p } ( c ) = \{ x \in R _ { p } ^ { n + p + 1 }$ ; confidence 0.809
+
228. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093330/t09333059.png ; $r _ { 2 } \in R$ ; confidence 0.862
  
229. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031540/d03154015.png ; $G r$ ; confidence 0.809
+
229. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010017.png ; $x - x 0 \in K$ ; confidence 0.861
  
230. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076320/q07632017.png ; $j _ { X } : F ^ { \prime } \rightarrow F$ ; confidence 0.809
+
230. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081430/r08143081.png ; $e X$ ; confidence 0.861
  
231. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001069.png ; $b$ ; confidence 0.809
+
231. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026980/c02698053.png ; $E _ { 8 }$ ; confidence 0.860
  
232. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012066.png ; $\{ \mu _ { n } \}$ ; confidence 0.808
+
232. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066520/n06652019.png ; $\epsilon < \epsilon ^ { \prime } < \ldots$ ; confidence 0.860
  
233. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047930/h047930299.png ; $Z / p$ ; confidence 0.808
+
233. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097670/w097670169.png ; $\operatorname { gr } ( A _ { 1 } ( K ) )$ ; confidence 0.860
  
234. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087280/s087280193.png ; $m = E X ( s )$ ; confidence 0.808
+
234. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040106.png ; $L ] = \lambda$ ; confidence 0.859
  
235. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110040/r11004022.png ; $k ^ { 2 } = k _ { c } ^ { 2 } + \frac { 3 } { 8 } \frac { \rho 2 g } { T \lambda _ { 0 } ^ { 2 } } ( 1 - \frac { \rho _ { 1 } } { \rho _ { 2 } } ) \epsilon ^ { 2 } + O ( \epsilon ^ { 3 } )$ ; confidence 0.807
+
235. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240341.png ; $Z , \Gamma , F$ ; confidence 0.859
  
236. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081430/r08143031.png ; $E / E ^ { \prime }$ ; confidence 0.807
+
236. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017800/b01780053.png ; $n = p$ ; confidence 0.858
  
237. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024027.png ; $Y = X B + E$ ; confidence 0.807
+
237. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025470/c02547063.png ; $\alpha = d t + \sum p _ { i } d q _ { i }$ ; confidence 0.858
  
238. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066490/n06649018.png ; $f ^ { - 1 } ( \alpha ) \cap \{ z : | z | \leq t \}$ ; confidence 0.806
+
238. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130020/e13002010.png ; $\varphi$ ; confidence 0.858
  
239. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680200.png ; $r$ ; confidence 0.805
+
239. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063920/m063920117.png ; $\int \int K d S \leq 2 \pi ( \chi - k )$ ; confidence 0.858
  
240. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014140/a014140121.png ; $\sigma ( 1 ) = s$ ; confidence 0.805
+
240. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082570/r08257030.png ; $j 2 ^ { - k - l }$ ; confidence 0.858
  
241. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130080/d130080108.png ; $F \in Hol ( D )$ ; confidence 0.805
+
241. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240391.png ; $( M _ { H } M _ { E } ^ { - 1 } ) >$ ; confidence 0.858
  
242. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076800/q07680012.png ; $T ^ { S }$ ; confidence 0.805
+
242. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240384.png ; $q \geq 2$ ; confidence 0.857
  
243. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076860/q07686069.png ; $f _ { X } : V _ { X } \rightarrow V _ { X } ^ { \prime }$ ; confidence 0.805
+
243. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a1301304.png ; $8$ ; confidence 0.857
  
244. https://www.encyclopediaofmath.org/legacyimages/r/r110/r110150/r11015028.png ; $M \dot { y } = f ( y )$ ; confidence 0.805
+
244. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240354.png ; $E ( Z _ { 2 } )$ ; confidence 0.857
  
245. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013016.png ; $8$ ; confidence 0.804
+
245. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036910/e03691052.png ; $z = \operatorname { ln } \alpha = \operatorname { ln } | \alpha | + i \operatorname { Arg } \alpha$ ; confidence 0.857
  
246. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030280/d0302808.png ; $\tau _ { n } ( t ) = \frac { 1 } { 2 \pi } \frac { 2 ^ { 2 n } ( n ! ) ^ { 2 } } { ( 2 n ) ! } \operatorname { cos } ^ { 2 n } \frac { t } { 2 }$ ; confidence 0.804
+
246. 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
  
247. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001089.png ; $| I - B A \| < 1$ ; confidence 0.804
+
247. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040206.png ; $\{ \sigma = 0 \} \subset P ^ { 4 }$ ; confidence 0.856
  
248. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021040/c02104057.png ; $- u _ { 3 }$ ; confidence 0.803
+
248. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004020.png ; $a$ ; confidence 0.856
  
249. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210103.png ; $2 \pi i c$ ; confidence 0.802
+
249. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021620/c02162087.png ; $\kappa ( \eta ^ { q } ) \in H ^ { 2 q } ( B )$ ; confidence 0.856
  
250. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036770/e03677058.png ; $P ^ { \prime } ( C )$ ; confidence 0.802
+
250. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036980/e03698026.png ; $\alpha : G \rightarrow \operatorname { Aut } A$ ; confidence 0.856
  
251. https://www.encyclopediaofmath.org/legacyimages/l/l061/l061160/l061160114.png ; $x _ { 0 } ( . ) : t _ { 0 } + R ^ { + } \rightarrow U$ ; confidence 0.802
+
251. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240513.png ; $T _ { 2 }$ ; confidence 0.856
  
252. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072670/p07267050.png ; $f ^ { \prime } ( O _ { X ^ { \prime } } ) = O _ { S ^ { \prime } }$ ; confidence 0.802
+
252. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016170/b01617013.png ; $F _ { n } ( z )$ ; confidence 0.855
  
253. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076040/q07604075.png ; $\operatorname { arg } \operatorname { lim } _ { q \rightarrow r } Q _ { z } ( z ( q ) ) z ( q ) ^ { 2 }$ ; confidence 0.802
+
253. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041310/f04131029.png ; $\Lambda = \frac { \partial } { \partial x } + i \frac { \partial } { \partial y }$ ; confidence 0.855
  
254. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076800/q07680048.png ; $\leq \nu _ { i } ^ { s }$ ; confidence 0.802
+
254. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130060/b13006060.png ; $b _ { i }$ ; confidence 0.854
  
255. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l120120208.png ; $G ( K _ { p ^ { \prime } } )$ ; confidence 0.801
+
255. 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
  
256. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072530/p072530183.png ; $I ( G _ { p } )$ ; confidence 0.801
+
256. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086960/s08696076.png ; $V < 0$ ; confidence 0.854
  
257. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010270.png ; $\operatorname { min } _ { i } | \hat { \lambda } - \lambda _ { i } | \leq \operatorname { max } \{ r \psi , r ^ { 1 / r } \psi ^ { 1 / r } \}$ ; confidence 0.800
+
257. 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
  
258. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020160/c02016022.png ; $K _ { X } K _ { X }$ ; confidence 0.800
+
258. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012068.png ; $\{ \nu _ { k } \} \cap \{ \mu _ { n } \} = \emptyset$ ; confidence 0.853
  
259. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780429.png ; $\phi ^ { h } ( pt )$ ; confidence 0.800
+
259. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001017.png ; $x = A ^ { - 1 } b$ ; confidence 0.852
  
260. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038380/f03838022.png ; $C _ { 0 }$ ; confidence 0.800
+
260. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240302.png ; $\hat { \eta } \omega$ ; confidence 0.852
  
261. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087820/s087820182.png ; $\| y \| = \operatorname { max } _ { i } | y _ { i } |$ ; confidence 0.800
+
261. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033980/d03398025.png ; $\sum _ { m = 1 } ^ { \infty } u _ { m n n }$ ; confidence 0.852
  
262. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010114.png ; $\operatorname { im } ( S ) = 7$ ; confidence 0.799
+
262. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035110/e03511022.png ; $\Sigma - 1$ ; confidence 0.852
  
263. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026010/c02601042.png ; $N = N _ { 0 }$ ; confidence 0.799
+
263. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092600/t092600123.png ; $B = I _ { p }$ ; confidence 0.852
  
264. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058360/l058360142.png ; $P _ { 8 }$ ; confidence 0.799
+
264. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023250/c023250173.png ; $\beta _ { 0 }$ ; confidence 0.851
  
265. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067310/n06731043.png ; $B O$ ; confidence 0.799
+
265. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110050/h11005031.png ; $w _ { 2 } = f ( r _ { 1 } ) \ldots f ( r _ { n } )$ ; confidence 0.851
  
266. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097450/w09745039.png ; $j = g ^ { 3 } / g ^ { 2 }$ ; confidence 0.799
+
266. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059110/l05911087.png ; $l _ { 2 } u = \phi _ { 2 } ( t )$ ; confidence 0.851
  
267. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040799.png ; $D \in K$ ; confidence 0.799
+
267. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l120120133.png ; $( K _ { p } ) _ { i n s }$ ; confidence 0.851
  
268. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001039.png ; $\Phi ^ { \alpha } ( Y ) = \nabla _ { Y } \xi ^ { \alpha }$ ; confidence 0.798
+
268. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001029.png ; $| b | \leq \| A |$ ; confidence 0.850
  
269. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021610/c02161069.png ; $\alpha _ { \nu } ( x ) \rightarrow b _ { \nu } ( x ^ { \prime } )$ ; confidence 0.798
+
269. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040143.png ; $S 5$ ; confidence 0.850
  
270. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003022.png ; $w \mapsto ( w ^ { * } \varphi _ { \lambda } ) _ { \lambda \in \Lambda }$ ; confidence 0.798
+
270. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130250/c13025017.png ; $Y _ { j } = i$ ; confidence 0.850
  
271. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046300/h04630075.png ; $M _ { 0 } \times I$ ; confidence 0.798
+
271. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050950/i05095033.png ; $S = \frac { K } { 3 }$ ; confidence 0.850
  
272. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012970/a012970176.png ; $d _ { 2 n - 1 } = d _ { 2 n }$ ; confidence 0.797
+
272. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040433.png ; $h : A \rightarrow B$ ; confidence 0.850
  
273. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020048.png ; $\alpha _ { i j } \neq 0$ ; confidence 0.797
+
273. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c02278052.png ; $N \gg n$ ; confidence 0.849
  
274. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032490/d03249026.png ; $G$ ; confidence 0.797
+
274. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024890/c0248905.png ; $\alpha ( x ) - b ( x ) = f ( x ) g ( x ) + p h ( x )$ ; confidence 0.849
  
275. https://www.encyclopediaofmath.org/legacyimages/y/y110/y110010/y11001038.png ; $\| \phi _ { q } \| _ { q } = 1$ ; confidence 0.797
+
275. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040230/f040230100.png ; $x _ { n } = n$ ; confidence 0.849
  
276. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240535.png ; $k ( X _ { 2 } ) = p$ ; confidence 0.797
+
276. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064580/m06458025.png ; $k _ { 1 } + \ldots + k _ { n } = k$ ; confidence 0.849
  
277. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130270/b13027070.png ; $B \otimes K ( H )$ ; confidence 0.796
+
277. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004044.png ; $( Z / d _ { 1 } Z ) ^ { 2 } \times ( Z / d _ { 2 } Z ) ^ { 2 }$ ; confidence 0.848
  
278. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130030/m1300307.png ; $f ( z ^ { d } ) = f ( z ) - z$ ; confidence 0.796
+
278. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044470/g044470103.png ; $\psi \circ \phi = \phi ^ { \prime } \circ \psi$ ; confidence 0.848
  
279. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240414.png ; $f ( Z _ { 1 } )$ ; confidence 0.795
+
279. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066890/n06689067.png ; $v = 1.1 m / sec$ ; confidence 0.848
  
280. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057450/l05745021.png ; $v \in C ( \overline { G } )$ ; confidence 0.795
+
280. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680179.png ; $\phi _ { x y } a \leq b$ ; confidence 0.847
  
281. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065580/m0655809.png ; $P ( x ) = \sum _ { k = 1 } ^ { n } \alpha _ { k } x ^ { \lambda _ { k } }$ ; confidence 0.795
+
281. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130080/d13008069.png ; $H = C ^ { n }$ ; confidence 0.847
  
282. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110230/p11023076.png ; $x \in R ^ { + }$ ; confidence 0.795
+
282. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040737.png ; $= 0$ ; confidence 0.847
  
283. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091080/s09108054.png ; $\sum _ { n < x } f ( n ) = R ( x ) + O ( x ^ { \{ ( \alpha + 1 ) ( 2 \eta - 1 ) / ( 2 \eta + 1 ) \} + \epsilon } )$ ; confidence 0.795
+
283. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040468.png ; $CPC$ ; confidence 0.846
  
284. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001099.png ; $\delta b$ ; confidence 0.794
+
284. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a130130103.png ; $K P$ ; confidence 0.846
  
285. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a110220112.png ; $\int _ { H } f d m = \int _ { \Omega } R _ { 1 } f d P _ { 1 } = \int _ { \Omega } R _ { 2 } f d P _ { 2 }$ ; confidence 0.794
+
285. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110580/a11058047.png ; $= v : q$ ; confidence 0.846
  
286. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830278.png ; $u \leq \theta u$ ; confidence 0.794
+
286. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120070/e12007012.png ; $\Gamma _ { q }$ ; confidence 0.846
  
287. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068190/o0681907.png ; $T ( t ) x$ ; confidence 0.794
+
287. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120080/f120080162.png ; $L _ { q } ( X )$ ; confidence 0.846
  
288. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130040/q13004026.png ; $J _ { f } ( x ) \leq K l ( f ^ { \prime } ( x ) ) ^ { n }$ ; confidence 0.794
+
288. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a120160130.png ; $W E = R . F . I$ ; confidence 0.845
  
289. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080620/r08062044.png ; $X = \| x _ { i } \|$ ; confidence 0.794
+
289. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036070/e03607020.png ; $\tau _ { n } ^ { ( B ) }$ ; confidence 0.845
  
290. https://www.encyclopediaofmath.org/legacyimages/y/y120/y120010/y120010139.png ; $R : X \times X \rightarrow \operatorname { End } _ { k } ( V \otimes _ { k } V )$ ; confidence 0.794
+
290. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058820/l058820138.png ; $\operatorname { lim } _ { x \rightarrow x _ { 0 } } f ( x ) = \alpha$ ; confidence 0.845
  
291. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240474.png ; $X _ { 1 }$ ; confidence 0.793
+
291. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064720/m0647206.png ; $f _ { E } ^ { \prime } ( \zeta )$ ; confidence 0.845
  
292. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240238.png ; $MS _ { e } = SS _ { e } / ( n - r )$ ; confidence 0.793
+
292. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070220/o07022036.png ; $E$ ; confidence 0.845
  
293. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014190/a01419047.png ; $t _ { + } < + \infty$ ; confidence 0.793
+
293. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074690/p07469030.png ; $\pi G ( x ) = b$ ; confidence 0.845
  
294. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130070/c13007063.png ; $g = 0 \Rightarrow c$ ; confidence 0.793
+
294. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082230/r0822307.png ; $| x _ { i } | \leq 1$ ; confidence 0.845
  
295. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047940/h04794088.png ; $e _ { i } : O ( \Delta _ { q - 1 } ) \rightarrow O ( \Delta _ { q } )$ ; confidence 0.793
+
295. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046082.png ; $P _ { n } ( x ) = \delta ^ { n } f ( 0 , x ) / n !$ ; confidence 0.844
  
296. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240310.png ; $\eta i$ ; confidence 0.793
+
296. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110110/a11011013.png ; $\cap$ ; confidence 0.844
  
297. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044350/g044350116.png ; $V ( \Re ) > 2 ^ { n } d ( \Lambda )$ ; confidence 0.792
+
297. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022026.png ; $C ^ { p } / \Gamma$ ; confidence 0.843
  
298. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093890/t09389045.png ; $o ( N ) / N \rightarrow 0$ ; confidence 0.792
+
298. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040623.png ; $\Gamma \vDash S _ { P } \varphi$ ; confidence 0.843
  
299. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028064.png ; $\chi ( G ) < \operatorname { girth } ( G )$ ; confidence 0.791
+
299. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a12031093.png ; $I _ { 1 }$ ; confidence 0.843
  
300. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120020/h1200207.png ; $\hat { \phi } ( j ) = \alpha$ ; confidence 0.791
+
300. 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

Revision as of 17:47, 2 September 2019

List

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

2. a130050267.png ; $C > 0$ ; confidence 0.904

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

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

5. 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

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

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

8. a130040789.png ; $g \circ h = g ^ { \prime } \circ h$ ; confidence 0.904

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

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

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

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

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

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

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

16. a110040207.png ; $\sigma \in H ^ { 0 } ( P ^ { 4 } , F )$ ; confidence 0.902

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

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

19. a0104206.png ; $Y _ { n } = X _ { 1 } + \ldots + X _ { n } + c$ ; confidence 0.902

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

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

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

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

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

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

26. a13004037.png ; $\varphi \in T$ ; confidence 0.901

27. a11006032.png ; $\operatorname { lim } _ { s \rightarrow \infty } \beta _ { X } ( s ) = 0$ ; confidence 0.900

28. a01033012.png ; $\beta _ { \gamma } = \int _ { - \infty } ^ { + \infty } | x | ^ { r } p ( x ) d x$ ; confidence 0.900

29. a130040132.png ; $IPC$ ; confidence 0.900

30. a130040581.png ; $S 5 ^ { W }$ ; confidence 0.900

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

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

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

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

35. a12002023.png ; $t \in I$ ; confidence 0.900

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

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

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

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

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

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

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

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

44. a12004016.png ; $x _ { 0 } \in \overline { D ( A ) }$ ; confidence 0.898

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

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

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

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

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

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

51. a0103305.png ; $\beta _ { r } = E | X | ^ { r }$ ; confidence 0.897

52. a130040240.png ; $\Gamma \cup \{ \varphi \} \subseteq Fm$ ; confidence 0.897

53. a01046014.png ; $\delta f ( \alpha , h )$ ; confidence 0.897

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

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

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

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

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

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

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

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

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

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

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

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

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

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

68. 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

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

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

71. 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

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

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

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

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

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

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

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

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

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

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

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

83. s0861605.png ; $J _ { m + n + 1 } ( x ) =$ ; confidence 0.892

84. a130050182.png ; $a ( n )$ ; confidence 0.892

85. a13024051.png ; $3$ ; confidence 0.891

86. b01729042.png ; $\partial M _ { A } \subset X \subset M _ { A }$ ; confidence 0.891

87. c024780261.png ; $( x ^ { 2 } / a ^ { 2 } ) + ( y ^ { 2 } / b ^ { 2 } ) = 1$ ; confidence 0.891

88. f04058050.png ; $\frac { | \sigma _ { i } | } { ( \operatorname { diam } \sigma _ { i } ) ^ { n } } \geq \eta$ ; confidence 0.891

89. a1100208.png ; $n = k - \lambda$ ; confidence 0.891

90. a110040127.png ; $A$ ; confidence 0.891

91. 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

92. a110420126.png ; $K _ { 0 } ( \tau ) ( [ p ] _ { 0 } - [ q ] _ { 0 } ) = \tau ( p ) - \tau ( q )$ ; confidence 0.889

93. a13013047.png ; $i$ ; confidence 0.889

94. a011600128.png ; $f _ { 1 } = \ldots = f _ { m }$ ; confidence 0.889

95. s08521071.png ; $\square ^ { 2 } F _ { 4 } ( q ) ^ { \prime }$ ; confidence 0.889

96. a01021022.png ; $\omega ^ { * } \overline { \pi }$ ; confidence 0.888

97. a11001054.png ; $\| A \| = 10 ^ { 5 }$ ; confidence 0.887

98. a01020066.png ; $A \oplus B$ ; confidence 0.887

99. c02724015.png ; $x ^ { 3 } + y ^ { 3 } - 3 a x y = 0$ ; confidence 0.887

100. m06314012.png ; $- \frac { \partial D } { \partial t } + \operatorname { rot } H = J$ ; confidence 0.887

101. p07237060.png ; $\overline { \Omega } _ { k } \subset \Omega _ { k + 1 }$ ; confidence 0.887

102. q076820220.png ; $E \theta ( t ) \theta ( t + u ) = \int _ { 0 } F ( t + u - v ) ( 1 - G ( t - v ) ) d m ( v )$ ; confidence 0.887

103. v09687032.png ; $\tau _ { j } < 0$ ; confidence 0.887

104. w12011079.png ; $A ^ { * } \sigma A = \sigma$ ; confidence 0.887

105. a1200603.png ; $\Omega \subset R ^ { m }$ ; confidence 0.887

106. b01747034.png ; $( i i + 1 )$ ; confidence 0.886

107. m12011054.png ; $\pi _ { 1 } ( M ) \neq Z _ { 2 }$ ; confidence 0.886

108. p075350108.png ; $P _ { n } ( R )$ ; confidence 0.886

109. v0966506.png ; $n \geq 12$ ; confidence 0.886

110. 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

111. t12001030.png ; $5$ ; confidence 0.885

112. f11015067.png ; $t \subset v$ ; confidence 0.885

113. w09791036.png ; $L _ { - } ( \lambda ) C ( \lambda ) / B ( \lambda )$ ; confidence 0.885

114. a12005024.png ; $u ( 0 ) = u _ { 0 }$ ; confidence 0.885

115. a13024085.png ; $\gamma _ { i j }$ ; confidence 0.884

116. a130240334.png ; $\Gamma = B X$ ; confidence 0.884

117. a130240239.png ; $MS _ { e }$ ; confidence 0.884

118. c11017044.png ; $C \rho _ { p } C ^ { \prime }$ ; confidence 0.884

119. c12019044.png ; $T ( M )$ ; confidence 0.884

120. l05761045.png ; $m < n ^ { ( 1 / 3 ) - \delta }$ ; confidence 0.883

121. m130180141.png ; $H _ { n - 2 }$ ; confidence 0.883

122. a110010293.png ; $\leq k ( T ) _ { 1 \leq r \leq m - 1,1 \leq i \leq p } \frac { | f ^ { ( r ) } ( \lambda _ { i } ) - g ^ { ( r ) } ( \lambda _ { i } ) | } { r ! } m _ { i }$ ; confidence 0.883

123. c022780207.png ; $e ^ { x _ { i } } - 1$ ; confidence 0.882

124. c02691013.png ; $\Gamma ( C ) = V$ ; confidence 0.882

125. i050650262.png ; $K ( T M ^ { g } ) \otimes C \rightarrow C$ ; confidence 0.882

126. l11014038.png ; $\epsilon$ ; confidence 0.882

127. s120040132.png ; $\lambda ^ { s _ { \mu } } = \sum _ { \nu } c _ { \lambda \mu } ^ { \nu } s _ { \nu }$ ; confidence 0.882

128. a130040786.png ; $A , B \in K$ ; confidence 0.882

129. a110040126.png ; $4$ ; confidence 0.882

130. a120280141.png ; $S _ { E } = \{ \omega \in \hat { G } : E + \omega \subseteq E \}$ ; confidence 0.881

131. h0484203.png ; $F _ { + } ( x + i 0 ) - F _ { - } ( x - i 0 )$ ; confidence 0.881

132. r08160033.png ; $y _ { 2 } = ( x _ { 1 } + x _ { 3 } ) ( x _ { 2 } + x _ { 4 } )$ ; confidence 0.881

133. y09907014.png ; $t _ { \lambda } ^ { \prime }$ ; confidence 0.881

134. b01539044.png ; $i , j = 1,2$ ; confidence 0.881

135. a130050176.png ; $F _ { q }$ ; confidence 0.880

136. a130040403.png ; $P K$ ; confidence 0.879

137. d032600176.png ; $w _ { N } ( \alpha ) \geq n$ ; confidence 0.879

138. a130240222.png ; $r$ ; confidence 0.879

139. a01029079.png ; $X _ { \delta }$ ; confidence 0.879

140. c02517037.png ; $\omega ^ { k } = d x ^ { k }$ ; confidence 0.878

141. c0264605.png ; $\alpha _ { i } < b _ { i }$ ; confidence 0.878

142. l12006098.png ; $H \phi$ ; confidence 0.878

143. t09399044.png ; $Q _ { 1 } \cup \square \ldots \cup Q _ { m }$ ; confidence 0.878

144. a110040153.png ; $C ^ { 2 } : 1 E$ ; confidence 0.878

145. a130050177.png ; $Z _ { q } ( y ) = \sum _ { n = 0 } ^ { \infty } q ^ { n } y ^ { n } = ( 1 - q y ) ^ { - 1 }$ ; confidence 0.877

146. c02697049.png ; $| w | < 1 / 16$ ; confidence 0.877

147. f04221056.png ; $e _ { \lambda } ^ { 1 } \in X$ ; confidence 0.877

148. m06443090.png ; $B O$ ; confidence 0.877

149. n067520250.png ; $d j \neq 0$ ; confidence 0.877

150. a11002062.png ; $3$ ; confidence 0.876

151. a11007023.png ; $: C ( K ) \rightarrow L _ { p } ( K , \mu )$ ; confidence 0.876

152. g0436207.png ; $R [ F ( t ) ] = ( 1 - t ^ { 2 } ) F ^ { \prime \prime } - ( 2 \rho - 1 ) t F ^ { \prime \prime }$ ; confidence 0.876

153. a0101806.png ; $z = z 0$ ; confidence 0.876

154. a12004024.png ; $| x ( t ) \| \leq c \| x _ { 0 } \| \text { for all } t \in [ 0 , \tau ]$ ; confidence 0.875

155. a1302403.png ; $n \times 1$ ; confidence 0.875

156. a12012069.png ; $p ^ { * } y \leq \lambda ^ { * } p ^ { * } x$ ; confidence 0.875

157. a011600189.png ; $( K / k )$ ; confidence 0.875

158. e03525091.png ; $z _ { k } \in L$ ; confidence 0.875

159. i130090231.png ; $( X ^ { \omega } \chi ^ { - 1 } ) = \pi ^ { \mu _ { \chi } ^ { * } } g _ { \chi } ^ { * } ( T )$ ; confidence 0.875

160. l058820374.png ; $\tau = \{ t _ { i } \} _ { i = 0 } ^ { i = n }$ ; confidence 0.875

161. l0607706.png ; $\operatorname { inv } ( x )$ ; confidence 0.875

162. t09390073.png ; $g _ { n } ( \Omega )$ ; confidence 0.875

163. 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

164. a120050132.png ; $R ^ { N }$ ; confidence 0.875

165. a110010299.png ; $m$ ; confidence 0.874

166. m06444056.png ; $c = 0$ ; confidence 0.874

167. s08583016.png ; $| w | = \rho < 1$ ; confidence 0.874

168. a01046086.png ; $f ( \alpha + h ) = \sum _ { n = 0 } ^ { \infty } P _ { n } ( h )$ ; confidence 0.873

169. a130040741.png ; $R ^ { \prime }$ ; confidence 0.873

170. a130240408.png ; $y _ { i j k }$ ; confidence 0.873

171. a01300057.png ; $L _ { p } ( E )$ ; confidence 0.872

172. l058590134.png ; $S \cap R ( G ) = ( e )$ ; confidence 0.872

173. a0101209.png ; $P _ { n } ^ { ( k ) } ( \lambda _ { k } ) = 0 , \quad k = 0 , \ldots , n - 1 ; \quad P _ { n } ^ { ( n ) } ( z ) \equiv 1$ ; confidence 0.872

174. a01024049.png ; $\int _ { L } * \phi _ { i }$ ; confidence 0.871

175. a01046071.png ; $P _ { m } ( x , h ) \neq 0$ ; confidence 0.871

176. a130240230.png ; $\psi = \sum _ { i = 1 } ^ { r } d _ { i } \zeta _ { i }$ ; confidence 0.871

177. a11010013.png ; $p _ { U } ( x ) = \operatorname { sup } \{ \mu ( x ) : \mu \in U ^ { \circ } \}$ ; confidence 0.871

178. a01022062.png ; $R ^ { 2 p }$ ; confidence 0.871

179. t1200107.png ; $m = 2 i + 1$ ; confidence 0.871

180. b11033038.png ; $P ^ { \prime }$ ; confidence 0.871

181. i051930181.png ; $Y = C$ ; confidence 0.871

182. a1302405.png ; $( n \times m )$ ; confidence 0.870

183. a130240510.png ; $\Theta = E ( Z _ { 12 } )$ ; confidence 0.870

184. b11069080.png ; $M _ { A g }$ ; confidence 0.870

185. d13018035.png ; $\| \hat { f } \| = \| f \| _ { 1 }$ ; confidence 0.870

186. m06557014.png ; $L _ { \cap } \Gamma = 0$ ; confidence 0.870

187. s08735095.png ; $I _ { n } ( \theta ) = n I ( \theta )$ ; confidence 0.870

188. a130040725.png ; $S _ { P }$ ; confidence 0.869

189. t12001011.png ; $\xi = I ( \partial _ { r } )$ ; confidence 0.869

190. a13013076.png ; $P ^ { ( l ) }$ ; confidence 0.869

191. b11057061.png ; $H _ { m }$ ; confidence 0.869

192. c02604071.png ; $A _ { n } x _ { n } = y _ { n }$ ; confidence 0.869

193. w09816057.png ; $Y \times X$ ; confidence 0.869

194. a12005061.png ; $A u \in C ( ( 0 , T ] ; X )$ ; confidence 0.869

195. a130240226.png ; $\zeta _ { r + 1 } = \ldots = \zeta _ { n } = 0$ ; confidence 0.868

196. a130240209.png ; $S$ ; confidence 0.868

197. m12016065.png ; $\Omega _ { p _ { 1 } n _ { 1 } } ( t ^ { \prime } t ^ { \prime } )$ ; confidence 0.868

198. p073700205.png ; $l _ { n } = \# \{ s \in S : d ( s ) = n \}$ ; confidence 0.868

199. i050650145.png ; $\phi * : H ^ { * } ( B / S ) = H ^ { * } ( T M ) \rightarrow H ^ { * } ( M )$ ; confidence 0.867

200. l05700011.png ; $M N$ ; confidence 0.867

201. l05935013.png ; $x ^ { ( n ) } + \alpha _ { 1 } ( t ) x ^ { ( n - 1 ) } + \ldots + \alpha _ { n } ( t ) x = 0$ ; confidence 0.867

202. a11042095.png ; $C ^ { * }$ ; confidence 0.866

203. d1301309.png ; $z = r \operatorname { cos } \theta$ ; confidence 0.866

204. d11023041.png ; $K = \overline { K } \cap L _ { m } ( G )$ ; confidence 0.866

205. e03677067.png ; $\phi ^ { - 1 } ( b ) \cong P ^ { \prime } ( C )$ ; confidence 0.866

206. e03696065.png ; $y _ { j } \delta \theta$ ; confidence 0.866

207. p07535088.png ; $P _ { s } ^ { l } ( k )$ ; confidence 0.866

208. s1202309.png ; $O ( r )$ ; confidence 0.866

209. m063920116.png ; $\int \int K d S$ ; confidence 0.865

210. a130240369.png ; $M _ { H } M _ { E } ^ { - 1 }$ ; confidence 0.865

211. a130240240.png ; $\sigma ^ { 2 }$ ; confidence 0.864

212. b11038070.png ; $\Theta f$ ; confidence 0.864

213. f0412506.png ; $\infty \rightarrow \alpha / c$ ; confidence 0.864

214. m06359074.png ; $F \mapsto F ( P )$ ; confidence 0.864

215. s130510139.png ; $L \subset Z ^ { 0 }$ ; confidence 0.864

216. s08732031.png ; $\Pi ^ { * } \in C$ ; confidence 0.864

217. t09377039.png ; $g = R ^ { \alpha } f$ ; confidence 0.864

218. a120310161.png ; $A W ^ { * }$ ; confidence 0.863

219. a130240544.png ; $20$ ; confidence 0.863

220. a12022013.png ; $T : X \rightarrow Y$ ; confidence 0.863

221. a12005085.png ; $0 \leq t _ { 1 } \leq \ldots \leq t _ { k } \leq T$ ; confidence 0.863

222. c02278058.png ; $O ( X ) = \oplus _ { n = - \infty } ^ { + \infty } O ^ { n } ( X )$ ; confidence 0.863

223. s085590370.png ; $x _ { 0 } ^ { 2 } + \ldots + x _ { n } ^ { 2 } = 0$ ; confidence 0.863

224. a01012073.png ; $z | < R$ ; confidence 0.863

225. a01325015.png ; $\operatorname { arg } f$ ; confidence 0.862

226. k05548036.png ; $\| g _ { \alpha \beta } \|$ ; confidence 0.862

227. p07221037.png ; $F ^ { k }$ ; confidence 0.862

228. t09333059.png ; $r _ { 2 } \in R$ ; confidence 0.862

229. a11010017.png ; $x - x 0 \in K$ ; confidence 0.861

230. r08143081.png ; $e X$ ; confidence 0.861

231. c02698053.png ; $E _ { 8 }$ ; confidence 0.860

232. n06652019.png ; $\epsilon < \epsilon ^ { \prime } < \ldots$ ; confidence 0.860

233. w097670169.png ; $\operatorname { gr } ( A _ { 1 } ( K ) )$ ; confidence 0.860

234. a110040106.png ; $L ] = \lambda$ ; confidence 0.859

235. a130240341.png ; $Z , \Gamma , F$ ; confidence 0.859

236. b01780053.png ; $n = p$ ; confidence 0.858

237. c02547063.png ; $\alpha = d t + \sum p _ { i } d q _ { i }$ ; confidence 0.858

238. e13002010.png ; $\varphi$ ; confidence 0.858

239. m063920117.png ; $\int \int K d S \leq 2 \pi ( \chi - k )$ ; confidence 0.858

240. r08257030.png ; $j 2 ^ { - k - l }$ ; confidence 0.858

241. a130240391.png ; $( M _ { H } M _ { E } ^ { - 1 } ) >$ ; confidence 0.858

242. a130240384.png ; $q \geq 2$ ; confidence 0.857

243. a1301304.png ; $8$ ; confidence 0.857

244. a130240354.png ; $E ( Z _ { 2 } )$ ; confidence 0.857

245. e03691052.png ; $z = \operatorname { ln } \alpha = \operatorname { ln } | \alpha | + i \operatorname { Arg } \alpha$ ; confidence 0.857

246. l058820245.png ; $\operatorname { lim } _ { x \rightarrow x _ { 0 } } ( f _ { 1 } ( x ) / f _ { 2 } ( x ) )$ ; confidence 0.857

247. a110040206.png ; $\{ \sigma = 0 \} \subset P ^ { 4 }$ ; confidence 0.856

248. a11004020.png ; $a$ ; confidence 0.856

249. c02162087.png ; $\kappa ( \eta ^ { q } ) \in H ^ { 2 q } ( B )$ ; confidence 0.856

250. e03698026.png ; $\alpha : G \rightarrow \operatorname { Aut } A$ ; confidence 0.856

251. a130240513.png ; $T _ { 2 }$ ; confidence 0.856

252. b01617013.png ; $F _ { n } ( z )$ ; confidence 0.855

253. f04131029.png ; $\Lambda = \frac { \partial } { \partial x } + i \frac { \partial } { \partial y }$ ; confidence 0.855

254. b13006060.png ; $b _ { i }$ ; confidence 0.854

255. d033460124.png ; $| F _ { 0 } ^ { \prime } ( \zeta _ { 0 } ) | \leq | F ^ { \prime } ( \zeta _ { 0 } ) | \leq | F _ { \pi / 2 } ^ { \prime } ( \zeta _ { 0 } ) |$ ; confidence 0.854

256. s08696076.png ; $V < 0$ ; confidence 0.854

257. 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

258. a01012068.png ; $\{ \nu _ { k } \} \cap \{ \mu _ { n } \} = \emptyset$ ; confidence 0.853

259. a11001017.png ; $x = A ^ { - 1 } b$ ; confidence 0.852

260. a130240302.png ; $\hat { \eta } \omega$ ; confidence 0.852

261. d03398025.png ; $\sum _ { m = 1 } ^ { \infty } u _ { m n n }$ ; confidence 0.852

262. e03511022.png ; $\Sigma - 1$ ; confidence 0.852

263. t092600123.png ; $B = I _ { p }$ ; confidence 0.852

264. c023250173.png ; $\beta _ { 0 }$ ; confidence 0.851

265. h11005031.png ; $w _ { 2 } = f ( r _ { 1 } ) \ldots f ( r _ { n } )$ ; confidence 0.851

266. l05911087.png ; $l _ { 2 } u = \phi _ { 2 } ( t )$ ; confidence 0.851

267. l120120133.png ; $( K _ { p } ) _ { i n s }$ ; confidence 0.851

268. a11001029.png ; $| b | \leq \| A |$ ; confidence 0.850

269. a130040143.png ; $S 5$ ; confidence 0.850

270. c13025017.png ; $Y _ { j } = i$ ; confidence 0.850

271. i05095033.png ; $S = \frac { K } { 3 }$ ; confidence 0.850

272. a130040433.png ; $h : A \rightarrow B$ ; confidence 0.850

273. c02278052.png ; $N \gg n$ ; confidence 0.849

274. c0248905.png ; $\alpha ( x ) - b ( x ) = f ( x ) g ( x ) + p h ( x )$ ; confidence 0.849

275. f040230100.png ; $x _ { n } = n$ ; confidence 0.849

276. m06458025.png ; $k _ { 1 } + \ldots + k _ { n } = k$ ; confidence 0.849

277. a11004044.png ; $( Z / d _ { 1 } Z ) ^ { 2 } \times ( Z / d _ { 2 } Z ) ^ { 2 }$ ; confidence 0.848

278. g044470103.png ; $\psi \circ \phi = \phi ^ { \prime } \circ \psi$ ; confidence 0.848

279. n06689067.png ; $v = 1.1 m / sec$ ; confidence 0.848

280. a110680179.png ; $\phi _ { x y } a \leq b$ ; confidence 0.847

281. d13008069.png ; $H = C ^ { n }$ ; confidence 0.847

282. a130040737.png ; $= 0$ ; confidence 0.847

283. a130040468.png ; $CPC$ ; confidence 0.846

284. a130130103.png ; $K P$ ; confidence 0.846

285. a11058047.png ; $= v : q$ ; confidence 0.846

286. e12007012.png ; $\Gamma _ { q }$ ; confidence 0.846

287. f120080162.png ; $L _ { q } ( X )$ ; confidence 0.846

288. a120160130.png ; $W E = R . F . I$ ; confidence 0.845

289. e03607020.png ; $\tau _ { n } ^ { ( B ) }$ ; confidence 0.845

290. l058820138.png ; $\operatorname { lim } _ { x \rightarrow x _ { 0 } } f ( x ) = \alpha$ ; confidence 0.845

291. m0647206.png ; $f _ { E } ^ { \prime } ( \zeta )$ ; confidence 0.845

292. o07022036.png ; $E$ ; confidence 0.845

293. p07469030.png ; $\pi G ( x ) = b$ ; confidence 0.845

294. r0822307.png ; $| x _ { i } | \leq 1$ ; confidence 0.845

295. a01046082.png ; $P _ { n } ( x ) = \delta ^ { n } f ( 0 , x ) / n !$ ; confidence 0.844

296. a11011013.png ; $\cap$ ; confidence 0.844

297. a01022026.png ; $C ^ { p } / \Gamma$ ; confidence 0.843

298. a130040623.png ; $\Gamma \vDash S _ { P } \varphi$ ; confidence 0.843

299. a12031093.png ; $I _ { 1 }$ ; confidence 0.843

300. c120210117.png ; $\Lambda _ { n } ( \theta ) - h ^ { \prime } \Delta _ { n } ( \theta ) \rightarrow - \frac { 1 } { 2 } h ^ { \prime } \Gamma ( \theta ) h$ ; confidence 0.843

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/8. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/8&oldid=43883