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(AUTOMATIC EDIT of page 6 out of 11 with 300 lines: Updated image/latex database (currently 3083 images latexified; order by Confidence, ascending: False.)
(AUTOMATIC EDIT of page 6 out of 11 with 300 lines: Updated image/latex database (currently 3083 images latexified; order by Confidence, ascending: False.)
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== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820110.png ; $f _ { i } ( X ) = X _ { i } + \ldots$ ; confidence 0.733
+
1. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420109.png ; $x , y \in A$ ; confidence 0.906
  
2. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820173.png ; $F ( \overline { m } )$ ; confidence 0.760
+
2. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a01406028.png ; $20$ ; confidence 0.906
  
3. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040830/f0408302.png ; $\omega = \alpha _ { 1 } \ldots \alpha _ { k }$ ; confidence 0.633
+
3. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030020/d03002094.png ; $f ^ { * } N = O _ { X } \otimes _ { f } - 1 _ { O _ { Y } } f ^ { - 1 } N$ ; confidence 0.906
  
4. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040850/f040850279.png ; $V _ { 1 } ^ { * }$ ; confidence 0.750
+
4. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023063.png ; $R = \sum _ { i = 0 } ^ { n - 1 } Z ^ { i } G J G ^ { * } Z ^ { * i } =$ ; confidence 0.906
  
5. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040850/f040850143.png ; $\{ \lambda \}$ ; confidence 1.000
+
5. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041270/f04127050.png ; $x \in D ( A )$ ; confidence 0.906
  
6. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040850/f040850122.png ; $A \rightarrow w$ ; confidence 0.934
+
6. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043330/g04333080.png ; $\omega = 1 / c ^ { 2 }$ ; confidence 0.906
  
7. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040850/f04085058.png ; $\sigma ( \alpha ) = \{ w \}$ ; confidence 0.997
+
7. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058360/l058360172.png ; $\mathfrak { A } ^ { - }$ ; confidence 0.906
  
8. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040960/f04096043.png ; $I V _ { 2 }$ ; confidence 0.996
+
8. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075650/p07565068.png ; $X \cap U = \{ x \in U : \phi ( x ) > 0 \}$ ; confidence 0.906
  
9. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040960/f04096055.png ; $x ^ { i } \in R$ ; confidence 0.987
+
9. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081130/r08113085.png ; $c t ^ { \prime } = x ^ { \prime } \operatorname { sinh } \psi + c t \operatorname { cosh } \psi$ ; confidence 0.906
  
10. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041000/f0410005.png ; $J _ { \nu }$ ; confidence 0.556
+
10. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120080/w12008025.png ; $W ( f \times g ) = W ( f ) . W ( g )$ ; confidence 0.906
  
11. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120090/f12009069.png ; $F \mu$ ; confidence 0.813
+
11. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001097.png ; $SO ( 4 n + 3 )$ ; confidence 0.906
  
12. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041140/f04114018.png ; $P ( x ) = \frac { 1 } { \sqrt { 2 \pi } } F ( x )$ ; confidence 1.000
+
12. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240177.png ; $\alpha$ ; confidence 0.905
  
13. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120080/f120080162.png ; $L _ { q } ( X )$ ; confidence 0.846
+
13. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060970/l0609706.png ; $\alpha = R \operatorname { ln } \operatorname { tan } ( \frac { \pi } { 4 } + \frac { u } { 2 R } )$ ; confidence 0.905
  
14. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120080/f120080135.png ; $\Lambda _ { G } = 1$ ; confidence 0.897
+
14. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066340/n06634043.png ; $\Sigma _ { n - 1 } ( x )$ ; confidence 0.905
  
15. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120100/f12010041.png ; $( 8 \times 8 )$ ; confidence 1.000
+
15. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072510/p07251047.png ; $d y _ { 0 } - \sum _ { j = 1 } ^ { p } z _ { j } d y _ { j } = 0$ ; confidence 0.905
  
16. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f12011010.png ; $| \varphi ( z ) | ^ { 2 } e ^ { \delta | z | }$ ; confidence 0.840
+
16. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073090/p07309030.png ; $V \cap L$ ; confidence 0.905
  
17. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f120110126.png ; $F ( z ) = - \frac { 1 } { 2 \pi i } \int \frac { \operatorname { exp } e ^ { \zeta ^ { 2 } } } { \zeta - z } d \zeta$ ; confidence 0.622
+
17. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081470/r081470221.png ; $\oplus R ( S _ { n } )$ ; confidence 0.905
  
18. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041050/f04105039.png ; $f \in L _ { 1 }$ ; confidence 0.991
+
18. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095290/u09529022.png ; $w = \operatorname { sin }$ ; confidence 0.905
  
19. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041060/f04106025.png ; $\phi \in C _ { 0 } ^ { \infty } ( \Omega )$ ; confidence 0.997
+
19. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013250/a01325046.png ; $0 \notin f ( \partial D )$ ; confidence 0.904
  
20. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041060/f041060172.png ; $X ^ { \prime } \subset X$ ; confidence 0.988
+
20. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e12012065.png ; $\propto \| \Sigma \| ^ { - 1 / 2 } [ \nu + ( y - \mu ) ^ { T } \Sigma ^ { - 1 } ( y - \mu ) ] ^ { - ( \nu + p ) / 2 }$ ; confidence 0.904
  
21. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041060/f041060187.png ; $K _ { j } \times R ^ { N j }$ ; confidence 0.562
+
21. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043290/g0432908.png ; $\alpha _ { k } = \frac { \Gamma ( \gamma + k + 1 ) } { \Gamma ( \gamma + 1 ) } \sqrt { \frac { \Gamma ( \alpha _ { 1 } + 1 ) \Gamma ( \alpha _ { 2 } + 1 ) } { \Gamma ( \alpha _ { 1 } + k + 1 ) \Gamma ( \alpha _ { 2 } + k + 1 ) } }$ ; confidence 0.904
  
22. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041060/f041060205.png ; $d _ { C } ^ { - 1 } = \operatorname { det } \left\| \begin{array} { c c } { \phi _ { \theta } \theta } & { \phi _ { \theta x } } \\ { \phi _ { y } \theta } & { \phi _ { y x } } \end{array} \right\|$ ; confidence 0.370
+
22. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090760/s09076059.png ; $p ( \alpha )$ ; confidence 0.904
  
23. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041160/f04116031.png ; $\alpha = - b$ ; confidence 0.947
+
23. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094600/t0946003.png ; $\alpha \geq A _ { 0 }$ ; confidence 0.904
  
24. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041170/f04117079.png ; $f * g$ ; confidence 0.637
+
24. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022040/c02204033.png ; $h ^ { * } ( pt )$ ; confidence 0.903
  
25. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041170/f04117026.png ; $K = D$ ; confidence 0.998
+
25. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035250/e035250143.png ; $\Delta \Delta w _ { 0 } = 0$ ; confidence 0.903
  
26. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041170/f04117046.png ; $F [ \delta ] = 1$ ; confidence 0.999
+
26. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050730/i05073087.png ; $\chi _ { \pi } ( g ) = \sum _ { \{ \delta : \delta y \in H \delta \} } \chi _ { \rho } ( \delta g \delta ^ { - 1 } )$ ; confidence 0.903
  
27. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041170/f041170108.png ; $\eta \in \operatorname { ln } t \Gamma ^ { \prime }$ ; confidence 0.642
+
27. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070040/o07004017.png ; $\operatorname { lim } \alpha / \beta = 0$ ; confidence 0.903
  
28. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041250/f04125082.png ; $\xi _ { 1 } \neq \infty$ ; confidence 0.999
+
28. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130070/v13007046.png ; $q e ^ { ( - i \theta ) }$ ; confidence 0.903
  
29. 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
+
29. https://www.encyclopediaofmath.org/legacyimages/s/s110/s110330/s11033016.png ; $- 5 \rightarrow - 14 \rightarrow - 7 \rightarrow - 20 \rightarrow - 10 \rightarrow - 5$ ; confidence 0.902
  
30. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041250/f041250105.png ; $L _ { k } ( z _ { k } )$ ; confidence 0.991
+
30. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240301.png ; $\hat { \eta } \Omega$ ; confidence 0.902
  
31. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041250/f0412506.png ; $\infty \rightarrow \alpha / c$ ; confidence 0.864
+
31. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010104.png ; $\operatorname { Sp } ( n + 1 ) / \operatorname { Sp } ( n ) , \quad \operatorname { Sp } ( n + 1 ) / \operatorname { Sp } ( n ) \times Z _ { 2 }$ ; confidence 0.901
  
32. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041210/f0412109.png ; $A / \eta$ ; confidence 0.702
+
32. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011520/a01152028.png ; $G _ { X } = \{ g \in G : g x = x \}$ ; confidence 0.901
  
33. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041270/f04127048.png ; $D ( B ) \supset D ( A )$ ; confidence 0.993
+
33. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020740/c020740168.png ; $F ( 1 _ { A } ) = 1 _ { F A }$ ; confidence 0.901
  
34. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041270/f04127030.png ; $\alpha < \beta < \gamma$ ; confidence 0.991
+
34. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067940/n06794014.png ; $N > 5$ ; confidence 0.901
  
35. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041270/f04127050.png ; $x \in D ( A )$ ; confidence 0.906
+
35. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110130/b11013012.png ; $M _ { d } ^ { * } = M _ { d }$ ; confidence 0.900
  
36. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041310/f04131029.png ; $\Lambda = \frac { \partial } { \partial x } + i \frac { \partial } { \partial y }$ ; confidence 0.855
+
36. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015350/b015350300.png ; $\delta _ { i k } = 0$ ; confidence 0.900
  
37. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041310/f04131016.png ; $\eta = \frac { ( \alpha ^ { 2 } - \rho ^ { 2 } ) ^ { 1 / 2 } ( \alpha ^ { 2 } - \rho _ { 0 } ^ { 2 } ) ^ { 1 / 2 } } { \alpha }$ ; confidence 0.628
+
37. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016850/b01685023.png ; $E = \sum _ { i = 1 } ^ { M } \epsilon _ { i } N _ { i }$ ; confidence 0.900
  
38. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041320/f04132023.png ; $v _ { 0 } ^ { k }$ ; confidence 0.384
+
38. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120060/e12006018.png ; $T p ( A _ { y } ) = A$ ; confidence 0.900
  
39. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120130/f12013083.png ; $| \Phi ( G )$ ; confidence 0.956
+
39. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020027.png ; $3$ ; confidence 0.899
  
40. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110160/f110160161.png ; $\mathfrak { A } \sim _ { l } \mathfrak { B }$ ; confidence 0.922
+
40. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011990/a0119906.png ; $\pi _ { k } ( x )$ ; confidence 0.899
  
41. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041420/f04142082.png ; $D ( \lambda ) \neq 0$ ; confidence 0.997
+
41. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033530/d03353048.png ; $\pi ( y ) - \operatorname { li } y > - M y \operatorname { log } ^ { - m } y$ ; confidence 0.899
  
42. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041420/f041420175.png ; $| \lambda | < B ^ { - 1 }$ ; confidence 0.997
+
42. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035360/e03536067.png ; $\langle P ^ { ( 2 ) } \rangle$ ; confidence 0.899
  
43. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f12015043.png ; $\beta ( A ) < \infty$ ; confidence 0.997
+
43. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058360/l058360168.png ; $x$ ; confidence 0.899
  
44. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f12015010.png ; $R ( A )$ ; confidence 1.000
+
44. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w12007015.png ; $q$ ; confidence 0.899
  
45. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f120150156.png ; $\beta ( A - K ) < \infty$ ; confidence 0.999
+
45. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120040/c12004049.png ; $f \in H _ { c } ( D )$ ; confidence 0.898
  
46. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f120150202.png ; $n \| < C$ ; confidence 0.368
+
46. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046280/h04628059.png ; $x ^ { ( 1 ) } = x ^ { ( 1 ) } ( t )$ ; confidence 0.898
  
47. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f12015012.png ; $\beta ( A ) : = \operatorname { codim } R ( A ) < \infty$ ; confidence 0.981
+
47. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082430/r0824307.png ; $I ( A ) = \operatorname { Ker } ( \epsilon )$ ; confidence 0.898
  
48. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041510/f04151086.png ; $( r \geq 1 )$ ; confidence 1.000
+
48. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120140/w12014036.png ; $S \square T$ ; confidence 0.898
  
49. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041570/f04157048.png ; $x _ { 1 } ( t ) + x _ { 2 } ( t ) = A ( t ) \operatorname { cos } ( \omega _ { 1 } t + \phi ( t ) )$ ; confidence 0.965
+
49. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420160.png ; $K _ { 0 } ( B ) = Z + \theta Z$ ; confidence 0.898
  
50. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041580/f04158014.png ; $( x M ) ( M ^ { - 1 } y )$ ; confidence 0.999
+
50. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020550/c02055049.png ; $1$ ; confidence 0.897
  
51. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041620/f04162020.png ; $X _ { i } \cap X _ { j } =$ ; confidence 0.322
+
51. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120080/f120080135.png ; $\Lambda _ { G } = 1$ ; confidence 0.897
  
52. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120190/f12019028.png ; $C _ { G } ( n ) \leq N$ ; confidence 0.972
+
52. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130060/o13006047.png ; $\frac { 1 } { i } ( A _ { k } - A _ { k } ^ { * } ) = \Phi ^ { * } \sigma _ { k } \Phi$ ; confidence 0.897
  
53. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120190/f12019010.png ; $N = \{ G \backslash ( \cup _ { x \in G } x ^ { - 1 } H x ) \} \cup \{ 1 \}$ ; confidence 0.269
+
53. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051130/i05113068.png ; $\overline { \rho } _ { L }$ ; confidence 0.896
  
54. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f12021089.png ; $\pi ( \lambda ) = ( \lambda + 2 ) ( \lambda + 1 ) \alpha ^ { 2 } 0 + ( \lambda + 1 ) \alpha ^ { 1 } 0 + a ^ { 0 } =$ ; confidence 0.071
+
54. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086940/s086940114.png ; $\operatorname { det } S \neq 0$ ; confidence 0.896
  
55. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f1202105.png ; $| z | < r$ ; confidence 0.957
+
55. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013035.png ; $Q _ { 0 } = P _ { 0 }$ ; confidence 0.896
  
56. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f12021069.png ; $= \frac { ( n _ { 1 } + l ) ! } { ! ! } ( \operatorname { log } z ) ^ { l } z ^ { \lambda _ { 2 } } + \ldots$ ; confidence 0.665
+
56. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300106.png ; $B$ ; confidence 0.895
  
57. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f12021085.png ; $\lambda = \lambda _ { j }$ ; confidence 0.911
+
57. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120160/b12016030.png ; $x _ { i } ^ { \prime \prime } = x _ { i } ^ { \prime }$ ; confidence 0.895
  
58. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041790/f04179028.png ; $( n ! ) ^ { - 1 } n _ { D }$ ; confidence 0.991
+
58. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g043810179.png ; $\alpha f \in D ^ { \prime } ( O )$ ; confidence 0.895
  
59. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110180/f11018097.png ; $\| x \| _ { p } = \int _ { 0 } ^ { 1 } | x ( t ) | ^ { p } d t$ ; confidence 0.742
+
59. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047380/h047380204.png ; $\sum _ { \nu \in A } \| x _ { \nu } \| ^ { 2 } < \infty$ ; confidence 0.895
  
60. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110180/f110180102.png ; $0 < p _ { n } \rightarrow 0$ ; confidence 0.998
+
60. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051620/i05162045.png ; $\Gamma ( z ) = \frac { 1 } { e ^ { 2 i \pi z } - 1 } \int _ { L _ { 1 } } \zeta ^ { z - 1 } e ^ { - \zeta } d \zeta$ ; confidence 0.895
  
61. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f120230136.png ; $J : T M \rightarrow T M$ ; confidence 0.972
+
61. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085810/s0858103.png ; $\phi : U \rightarrow \sum _ { i \in I } U _ { l }$ ; confidence 0.895
  
62. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041880/f04188062.png ; $V _ { 0 } ( z )$ ; confidence 0.971
+
62. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110192.png ; $X \in \Phi$ ; confidence 0.895
  
63. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041890/f041890119.png ; $x \in R \cup \{ \infty \}$ ; confidence 0.764
+
63. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240106.png ; $t$ ; confidence 0.895
  
64. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041890/f0418904.png ; $D = \{ z \in C : | z | < 1 \}$ ; confidence 0.972
+
64. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022022.png ; $Y$ ; confidence 0.894
  
65. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041890/f04189063.png ; $\chi ( \Delta ) = \chi ( \Gamma ) [ \Gamma : \Delta ]$ ; confidence 0.999
+
65. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110160/a11016019.png ; $x _ { k + 1 } = M ^ { - 1 } ( N x _ { k } + b )$ ; confidence 0.894
  
66. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041940/f041940314.png ; $L _ { p } ( X )$ ; confidence 0.970
+
66. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014310/a01431027.png ; $\exists x A$ ; confidence 0.894
  
67. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041940/f041940175.png ; $S \subset T$ ; confidence 0.743
+
67. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110480/c11048046.png ; $D ^ { \perp }$ ; confidence 0.893
  
68. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041940/f041940310.png ; $A \in \mathfrak { S }$ ; confidence 0.285
+
68. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110070/e110070191.png ; $f ^ { \prime } ( 1 ) = \prod _ { n > 0 } ( \frac { 1 - q ^ { 2 n } } { 1 + q ^ { 2 n } } ) ^ { 2 }$ ; confidence 0.893
  
69. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041950/f041950110.png ; $f \in N ( \Delta )$ ; confidence 0.997
+
69. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780356.png ; $\Omega$ ; confidence 0.892
  
70. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120240/f1202409.png ; $t \mapsto t + T$ ; confidence 0.520
+
70. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024900/c02490030.png ; $q = p ^ { r }$ ; confidence 0.892
  
71. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042030/f04203082.png ; $T _ { \rightarrow } V ^ { - 1 } T V$ ; confidence 0.437
+
71. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023061.png ; $L \mapsto E ( L )$ ; confidence 0.892
  
72. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042060/f04206038.png ; $P ( C A )$ ; confidence 0.999
+
72. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048440/h0484406.png ; $w = z ^ { - \gamma / 2 } ( z - 1 ) ^ { ( \gamma - \alpha - \beta - 1 ) / 2 } u$ ; confidence 0.892
  
73. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042060/f04206074.png ; $f ( - x ) = - f ( x )$ ; confidence 1.000
+
73. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059490/l05949032.png ; $\alpha ^ { ( 0 ) }$ ; confidence 0.892
  
74. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042060/f042060121.png ; $\mathfrak { g } \otimes \mathfrak { g } \rightarrow U \mathfrak { g } \otimes U \mathfrak { g } \otimes U _ { \mathfrak { g } }$ ; confidence 0.207
+
74. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064250/m064250151.png ; $\tau \cup A C \cup B C$ ; confidence 0.892
  
75. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042070/f04207074.png ; $T _ { N } ( t )$ ; confidence 0.993
+
75. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086160/s0861605.png ; $J _ { m + n + 1 } ( x ) =$ ; confidence 0.892
  
76. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042120/f04212073.png ; $\frac { \partial w } { \partial z } + A ( z ) w + B ( z ) \overline { w } = F ( z )$ ; confidence 0.777
+
76. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024051.png ; $3$ ; confidence 0.891
  
77. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042150/f04215011.png ; $\left. \begin{array} { l l } { F _ { 1 } ( A ) } & { \frac { F _ { 1 } ( \alpha ) } { \rightarrow } } & { F _ { 1 } ( B ) } \\ { \phi _ { A } \downarrow } & { \square } & { \downarrow \phi _ { B } } \\ { F _ { 2 } ( A ) } & { \vec { F _ { 2 } ( \alpha ) } } & { F _ { 2 } ( B ) } \end{array} \right.$ ; confidence 0.308
+
77. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017290/b01729042.png ; $\partial M _ { A } \subset X \subset M _ { A }$ ; confidence 0.891
  
78. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042210/f04221073.png ; $\tilde { f } : Y \rightarrow X$ ; confidence 0.494
+
78. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024780/c024780261.png ; $( x ^ { 2 } / a ^ { 2 } ) + ( y ^ { 2 } / b ^ { 2 } ) = 1$ ; confidence 0.891
  
79. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042210/f04221056.png ; $e _ { \lambda } ^ { 1 } \in X$ ; confidence 0.877
+
79. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040580/f04058050.png ; $\frac { | \sigma _ { i } | } { ( \operatorname { diam } \sigma _ { i } ) ^ { n } } \geq \eta$ ; confidence 0.891
  
80. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110220/f11022029.png ; $A ^ { p } \geq ( A ^ { p / 2 } B ^ { p } A ^ { p / 2 } ) ^ { 1 / 2 }$ ; confidence 0.997
+
80. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120090/k12009012.png ; $= \frac { 2 } { \pi ^ { 2 } x _ { 0 } } \int _ { 0 } ^ { \infty } K _ { i \tau } ( x _ { 0 } ) \tau \operatorname { sinh } ( \pi \tau ) F ( \tau ) d \tau$ ; confidence 0.890
  
81. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f130290181.png ; $LOC$ ; confidence 0.417
+
81. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420126.png ; $K _ { 0 } ( \tau ) ( [ p ] _ { 0 } - [ q ] _ { 0 } ) = \tau ( p ) - \tau ( q )$ ; confidence 0.889
  
82. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043010/g04301029.png ; $X \times F$ ; confidence 0.480
+
82. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600128.png ; $f _ { 1 } = \ldots = f _ { m }$ ; confidence 0.889
  
83. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020138.png ; $\pi : P \rightarrow G \backslash P$ ; confidence 0.994
+
83. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085210/s08521071.png ; $\square ^ { 2 } F _ { 4 } ( q ) ^ { \prime }$ ; confidence 0.889
  
84. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020283.png ; $S ( M ^ { \prime } ) \subset M ^ { \prime }$ ; confidence 0.989
+
84. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013047.png ; $i$ ; confidence 0.889
  
85. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020169.png ; $H \mapsto C _ { A } ^ { \prime }$ ; confidence 0.465
+
85. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027240/c02724015.png ; $x ^ { 3 } + y ^ { 3 } - 3 a x y = 0$ ; confidence 0.887
  
86. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020155.png ; $V \oplus \mathfrak { g }$ ; confidence 0.476
+
86. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063140/m06314012.png ; $- \frac { \partial D } { \partial t } + \operatorname { rot } H = J$ ; confidence 0.887
  
87. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020256.png ; $C ^ { ( 0 ) }$ ; confidence 0.988
+
87. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072370/p07237060.png ; $\overline { \Omega } _ { k } \subset \Omega _ { k + 1 }$ ; confidence 0.887
  
88. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020187.png ; $\delta : G ^ { \prime } \rightarrow W$ ; confidence 0.965
+
88. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076820/q076820220.png ; $E \theta ( t ) \theta ( t + u ) = \int _ { 0 } F ( t + u - v ) ( 1 - G ( t - v ) ) d m ( v )$ ; confidence 0.887
  
89. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043280/g0432806.png ; $\mathfrak { x } \times x$ ; confidence 0.416
+
89. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096870/v09687032.png ; $\tau _ { j } < 0$ ; confidence 0.887
  
90. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043280/g04328069.png ; $H _ { i } ( x ^ { \prime } ) > H _ { i } ( x ^ { \prime \prime } )$ ; confidence 0.924
+
90. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011079.png ; $A ^ { * } \sigma A = \sigma$ ; confidence 0.887
  
91. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043280/g0432804.png ; $\hat { K } _ { i }$ ; confidence 0.180
+
91. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b01747034.png ; $( i i + 1 )$ ; confidence 0.886
  
92. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043280/g0432802.png ; $x$ ; confidence 0.485
+
92. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120110/m12011054.png ; $\pi _ { 1 } ( M ) \neq Z _ { 2 }$ ; confidence 0.886
  
93. 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
+
93. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075350/p075350108.png ; $P _ { n } ( R )$ ; confidence 0.886
  
94. https://www.encyclopediaofmath.org/legacyimages/g/g110/g110050/g11005015.png ; $\nu < \kappa$ ; confidence 0.992
+
94. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096650/v0966506.png ; $n \geq 12$ ; confidence 0.886
  
95. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043330/g04333080.png ; $\omega = 1 / c ^ { 2 }$ ; confidence 0.906
+
95. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001030.png ; $5$ ; confidence 0.885
  
96. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043340/g04334048.png ; $\sum _ { \Sigma } ^ { 3 } \square ^ { i \alpha } \neq 0$ ; confidence 0.180
+
96. 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
  
97. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043340/g04334058.png ; $( \partial w / \partial t ) + ( \partial f / \partial x ) = ( h ^ { 2 } / 2 \tau ) ( \partial ^ { 2 } w / \partial x ^ { 2 } )$ ; confidence 0.582
+
97. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110150/f11015067.png ; $t \subset v$ ; confidence 0.885
  
98. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043350/g04335040.png ; $\frac { \pi \psi } { Q } = - \theta - \sum _ { n = 1 } ^ { \infty } \frac { 1 } { n } ( \frac { \tau } { \tau _ { 0 } } ) ^ { n } \frac { y _ { n } ( \tau ) } { y _ { n } ( \tau _ { 0 } ) } \operatorname { sin } 2 n \theta$ ; confidence 0.914
+
98. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097910/w09791036.png ; $L _ { - } ( \lambda ) C ( \lambda ) / B ( \lambda )$ ; confidence 0.885
  
99. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043350/g04335015.png ; $\beta = \frac { 1 } { \gamma - 1 }$ ; confidence 0.992
+
99. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240239.png ; $MS _ { e }$ ; confidence 0.884
  
100. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043350/g04335037.png ; $+ \beta n ( 2 n + 1 ) y _ { n } = 0$ ; confidence 0.975
+
100. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110170/c11017044.png ; $C \rho _ { p } C ^ { \prime }$ ; confidence 0.884
  
101. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120030/g12003011.png ; $3 n + 2$ ; confidence 1.000
+
101. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120190/c12019044.png ; $T ( M )$ ; confidence 0.884
  
102. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120030/g1200302.png ; $= \sum _ { \nu = 1 } ^ { n } \alpha _ { \nu } f ( x _ { \nu } ) + \sum _ { \mu = 1 } ^ { n + 1 } \beta _ { \mu } f ( \xi _ { \mu } )$ ; confidence 0.992
+
102. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240334.png ; $\Gamma = B X$ ; confidence 0.884
  
103. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043470/g0434707.png ; $\nabla _ { \theta } : H _ { \delta R } ^ { 1 } ( X / K ) \rightarrow H _ { \partial R } ^ { 1 } ( X / K )$ ; confidence 0.221
+
103. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057610/l05761045.png ; $m < n ^ { ( 1 / 3 ) - \delta }$ ; confidence 0.883
  
104. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043470/g04347036.png ; $0 \rightarrow \phi ^ { 1 } / \phi ^ { 2 } \rightarrow \phi ^ { 0 } / \phi ^ { 2 } \rightarrow \phi ^ { 0 } / \phi ^ { 1 } \rightarrow 0$ ; confidence 0.913
+
104. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130180/m130180141.png ; $H _ { n - 2 }$ ; confidence 0.883
  
105. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043480/g0434807.png ; $\alpha _ { 31 } / \alpha _ { 11 }$ ; confidence 0.405
+
105. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780207.png ; $e ^ { x _ { i } } - 1$ ; confidence 0.882
  
106. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043480/g0434801.png ; $\quad f j ( x ) - \alpha j = \alpha _ { j 1 } x _ { 1 } + \ldots + \alpha _ { j n } x _ { n } - \alpha _ { j } = 0$ ; confidence 0.057
+
106. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026910/c02691013.png ; $\Gamma ( C ) = V$ ; confidence 0.882
  
107. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043580/g04358023.png ; $f _ { \zeta } ( \lambda )$ ; confidence 0.821
+
107. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650262.png ; $K ( T M ^ { g } ) \otimes C \rightarrow C$ ; confidence 0.882
  
108. 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
+
108. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110140/l11014038.png ; $\epsilon$ ; confidence 0.882
  
109. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043640/g04364030.png ; $K ( y ) = \operatorname { sgn } y . | y | ^ { \alpha }$ ; confidence 0.655
+
109. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120040/s120040132.png ; $\lambda ^ { s _ { \mu } } = \sum _ { \nu } c _ { \lambda \mu } ^ { \nu } s _ { \nu }$ ; confidence 0.882
  
110. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g043780250.png ; $\hbar \square ^ { * } ( M )$ ; confidence 0.620
+
110. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120280/a120280141.png ; $S _ { E } = \{ \omega \in \hat { G } : E + \omega \subseteq E \}$ ; confidence 0.881
  
111. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g043780168.png ; $T _ { \nu }$ ; confidence 0.336
+
111. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048420/h0484203.png ; $F _ { + } ( x + i 0 ) - F _ { - } ( x - i 0 )$ ; confidence 0.881
  
112. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g04378073.png ; $i : A \rightarrow X$ ; confidence 0.995
+
112. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081600/r08160033.png ; $y _ { 2 } = ( x _ { 1 } + x _ { 3 } ) ( x _ { 2 } + x _ { 4 } )$ ; confidence 0.881
  
113. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g043780134.png ; $F = p t$ ; confidence 0.143
+
113. https://www.encyclopediaofmath.org/legacyimages/y/y099/y099070/y09907014.png ; $t _ { \lambda } ^ { \prime }$ ; confidence 0.881
  
114. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g043780157.png ; $T \xi$ ; confidence 0.994
+
114. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539044.png ; $i , j = 1,2$ ; confidence 0.881
  
115. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043780/g043780231.png ; $\overline { h } ( X ) = \operatorname { lim } _ { h } h ^ { * } ( X _ { \alpha } )$ ; confidence 0.185
+
115. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032600/d032600176.png ; $w _ { N } ( \alpha ) \geq n$ ; confidence 0.879
  
116. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g043810381.png ; $C = \text { int } \Gamma$ ; confidence 0.630
+
116. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025170/c02517037.png ; $\omega ^ { k } = d x ^ { k }$ ; confidence 0.878
  
117. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g04381012.png ; $\overline { O } _ { k }$ ; confidence 0.968
+
117. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026460/c0264605.png ; $\alpha _ { i } < b _ { i }$ ; confidence 0.878
  
118. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g043810261.png ; $\delta ( x ) = \delta ( x _ { 1 } ) \times \ldots \times \delta ( x _ { N } )$ ; confidence 0.411
+
118. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120060/l12006098.png ; $H \phi$ ; confidence 0.878
  
119. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g043810179.png ; $\alpha f \in D ^ { \prime } ( O )$ ; confidence 0.895
+
119. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093990/t09399044.png ; $Q _ { 1 } \cup \square \ldots \cup Q _ { m }$ ; confidence 0.878
  
120. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g043810238.png ; $x u = 0$ ; confidence 0.979
+
120. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026970/c02697049.png ; $| w | < 1 / 16$ ; confidence 0.877
  
121. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003048.png ; $I _ { U } = \{ ( u _ { \lambda } ) _ { \lambda \in \Lambda }$ ; confidence 0.956
+
121. https://www.encyclopediaofmath.org/legacyimages/f/f042/f042210/f04221056.png ; $e _ { \lambda } ^ { 1 } \in X$ ; confidence 0.877
  
122. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003082.png ; $\Gamma \subset \Omega$ ; confidence 0.987
+
122. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064430/m06443090.png ; $B O$ ; confidence 0.877
  
123. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003022.png ; $w \mapsto ( w ^ { * } \varphi _ { \lambda } ) _ { \lambda \in \Lambda }$ ; confidence 0.798
+
123. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520250.png ; $d j \neq 0$ ; confidence 0.877
  
124. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043930/g0439304.png ; $m : A ^ { \prime } \rightarrow A$ ; confidence 0.997
+
124. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043620/g0436207.png ; $R [ F ( t ) ] = ( 1 - t ^ { 2 } ) F ^ { \prime \prime } - ( 2 \rho - 1 ) t F ^ { \prime \prime }$ ; confidence 0.876
  
125. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130040/g130040116.png ; $v \wedge \wedge \ldots \wedge v _ { m }$ ; confidence 0.124
+
125. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012069.png ; $p ^ { * } y \leq \lambda ^ { * } p ^ { * } x$ ; confidence 0.875
  
126. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044340/g044340202.png ; $\xi _ { p } \in ( \nu F ^ { m } ) p$ ; confidence 0.212
+
126. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600189.png ; $( K / k )$ ; confidence 0.875
  
127. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044340/g04434018.png ; $d f ( X )$ ; confidence 0.998
+
127. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035250/e03525091.png ; $z _ { k } \in L$ ; confidence 0.875
  
128. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044340/g044340228.png ; $\xi \in ( \nu F ^ { m } ) _ { p }$ ; confidence 0.549
+
128. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i130090231.png ; $( X ^ { \omega } \chi ^ { - 1 } ) = \pi ^ { \mu _ { \chi } ^ { * } } g _ { \chi } ^ { * } ( T )$ ; confidence 0.875
  
129. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044350/g044350167.png ; $\alpha ( F ) = 1$ ; confidence 1.000
+
129. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058820/l058820374.png ; $\tau = \{ t _ { i } \} _ { i = 0 } ^ { i = n }$ ; confidence 0.875
  
130. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044350/g044350101.png ; $D \Re \subset M$ ; confidence 0.255
+
130. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060770/l0607706.png ; $\operatorname { inv } ( x )$ ; confidence 0.875
  
131. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044350/g044350116.png ; $V ( \Re ) > 2 ^ { n } d ( \Lambda )$ ; confidence 0.792
+
131. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093900/t09390073.png ; $g _ { n } ( \Omega )$ ; confidence 0.875
  
132. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044350/g04435074.png ; $d ( \Lambda ) = \Delta ( \mathfrak { M } )$ ; confidence 0.934
+
132. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013039.png ; $Q = \sum _ { j = 0 } ^ { \infty } Q _ { j } z ^ { - j } , Q _ { j } = \left( \begin{array} { c c } { h _ { j } } & { e _ { j } } \\ { f _ { j } } & { - h _ { j } } \end{array} \right)$ ; confidence 0.875
  
133. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g1300606.png ; $p _ { n } ( z ) : = \operatorname { det } \{ z I - A \}$ ; confidence 0.968
+
133. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064440/m06444056.png ; $c = 0$ ; confidence 0.874
  
134. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g12004053.png ; $| \tilde { \varphi } \mathfrak { u } ( \xi ) | \leq c ^ { - 1 } e ^ { - c | \xi | ^ { 1 / s } }$ ; confidence 0.103
+
134. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085830/s08583016.png ; $| w | = \rho < 1$ ; confidence 0.874
  
135. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g12004074.png ; $D _ { x _ { k } } = - i \partial _ { x _ { k } }$ ; confidence 0.982
+
135. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240408.png ; $y _ { i j k }$ ; confidence 0.873
  
136. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044400/g04440061.png ; $z$ ; confidence 0.578
+
136. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013000/a01300057.png ; $L _ { p } ( E )$ ; confidence 0.872
  
137. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044400/g04440029.png ; $\delta \varepsilon$ ; confidence 0.600
+
137. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l058590134.png ; $S \cap R ( G ) = ( e )$ ; confidence 0.872
  
138. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044400/g04440032.png ; $d E$ ; confidence 0.607
+
138. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t1200107.png ; $m = 2 i + 1$ ; confidence 0.871
  
139. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044410/g0444106.png ; $\alpha \equiv f ( x _ { 0 } - ) \leq f ( x _ { 0 } + ) \equiv b$ ; confidence 0.692
+
139. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110330/b11033038.png ; $P ^ { \prime }$ ; confidence 0.871
  
140. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044410/g0444109.png ; $A < \alpha < b < B$ ; confidence 0.686
+
140. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051930/i051930181.png ; $Y = C$ ; confidence 0.871
  
141. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044410/g04441010.png ; $A = \underbrace { \operatorname { lim } _ { n } \frac { \operatorname { lim } } { x \nmid x _ { 0 } } } s _ { n } ( x )$ ; confidence 0.055
+
141. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110690/b11069080.png ; $M _ { A g }$ ; confidence 0.870
  
142. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044470/g044470103.png ; $\psi \circ \phi = \phi ^ { \prime } \circ \psi$ ; confidence 0.848
+
142. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130180/d13018035.png ; $\| \hat { f } \| = \| f \| _ { 1 }$ ; confidence 0.870
  
143. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044470/g04447072.png ; $q ^ { \prime } \in A ^ { \prime }$ ; confidence 0.966
+
143. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065570/m06557014.png ; $L _ { \cap } \Gamma = 0$ ; confidence 0.870
  
144. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044650/g04465025.png ; $a _ { y }$ ; confidence 0.519
+
144. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087350/s08735095.png ; $I _ { n } ( \theta ) = n I ( \theta )$ ; confidence 0.870
  
145. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044660/g04466023.png ; $A _ { 0 } = \mathfrak { A } _ { 0 }$ ; confidence 0.968
+
145. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001011.png ; $\xi = I ( \partial _ { r } )$ ; confidence 0.869
  
146. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044660/g04466018.png ; $A = \sum _ { i \geq 0 } A$ ; confidence 0.975
+
146. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110570/b11057061.png ; $H _ { m }$ ; confidence 0.869
  
147. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044680/g04468042.png ; $\operatorname { grad } ( f g ) = g \operatorname { grad } f + f \operatorname { grad } g$ ; confidence 0.981
+
147. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026040/c02604071.png ; $A _ { n } x _ { n } = y _ { n }$ ; confidence 0.869
  
148. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044680/g04468049.png ; $t \circ \in E$ ; confidence 0.290
+
148. https://www.encyclopediaofmath.org/legacyimages/w/w098/w098160/w09816057.png ; $Y \times X$ ; confidence 0.869
  
149. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044730/g04473023.png ; $f _ { B } ( x ) = \frac { \lambda ^ { x } } { x ! } e ^ { - \lambda } \{ 1 + \frac { \mu _ { 2 } - \lambda } { \lambda ^ { 2 } } [ \frac { x ^ { [ 2 ] } } { 2 } - \lambda x ^ { [ 1 ] } + \frac { \lambda ^ { 2 } } { 2 } ] +$ ; confidence 0.569
+
149. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013076.png ; $P ^ { ( l ) }$ ; confidence 0.869
  
150. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044770/g04477022.png ; $[ \Psi / \Phi ] \Phi$ ; confidence 0.955
+
150. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240209.png ; $S$ ; confidence 0.868
  
151. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044780/g04478033.png ; $\mu ( \alpha )$ ; confidence 0.999
+
151. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120160/m12016065.png ; $\Omega _ { p _ { 1 } n _ { 1 } } ( t ^ { \prime } t ^ { \prime } )$ ; confidence 0.868
  
152. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044820/g04482057.png ; $x \in L ( \Gamma )$ ; confidence 0.995
+
152. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073700/p073700205.png ; $l _ { n } = \# \{ s \in S : d ( s ) = n \}$ ; confidence 0.868
  
153. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044840/g04484023.png ; $B \rightarrow b B$ ; confidence 0.994
+
153. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650145.png ; $\phi * : H ^ { * } ( B / S ) = H ^ { * } ( T M ) \rightarrow H ^ { * } ( M )$ ; confidence 0.867
  
154. https://www.encyclopediaofmath.org/legacyimages/g/g110/g110180/g11018025.png ; $V _ { T } ^ { \prime } = \mu ( V _ { T } )$ ; confidence 0.997
+
154. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l05700011.png ; $M N$ ; confidence 0.867
  
155. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044910/g04491070.png ; $\sum _ { d ( e ) = Q } f _ { e }$ ; confidence 0.651
+
155. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059350/l05935013.png ; $x ^ { ( n ) } + \alpha _ { 1 } ( t ) x ^ { ( n - 1 ) } + \ldots + \alpha _ { n } ( t ) x = 0$ ; confidence 0.867
  
156. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045000/g04500031.png ; $( n \operatorname { ln } n ) / 2$ ; confidence 0.978
+
156. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130130/d1301309.png ; $z = r \operatorname { cos } \theta$ ; confidence 0.866
  
157. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044970/g04497028.png ; $E ^ { n } \times R$ ; confidence 0.937
+
157. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110230/d11023041.png ; $K = \overline { K } \cap L _ { m } ( G )$ ; confidence 0.866
  
158. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045040/g0450402.png ; $f _ { 12 }$ ; confidence 0.974
+
158. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036770/e03677067.png ; $\phi ^ { - 1 } ( b ) \cong P ^ { \prime } ( C )$ ; confidence 0.866
  
159. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g045090279.png ; $G _ { A B } ^ { ( c ) } ( t - t ^ { \prime } ) = \ll A ( t ) | B ( t ^ { \prime } ) \gg ( c ) \equiv \langle T _ { \eta } A ( t ) B ( t ^ { \prime } ) \rangle$ ; confidence 0.272
+
159. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e03696065.png ; $y _ { j } \delta \theta$ ; confidence 0.866
  
160. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g045090122.png ; $\psi _ { k } ( \xi )$ ; confidence 0.998
+
160. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075350/p07535088.png ; $P _ { s } ^ { l } ( k )$ ; confidence 0.866
  
161. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g04509046.png ; $y ( \alpha ) = 0$ ; confidence 0.954
+
161. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120230/s1202309.png ; $O ( r )$ ; confidence 0.866
  
162. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g04509054.png ; $C = [ p ( \xi ) W ( \xi ) ] ^ { - 1 }$ ; confidence 0.997
+
162. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042095.png ; $C ^ { * }$ ; confidence 0.866
  
163. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g045090287.png ; $G _ { A B } ^ { ( n ) } ( E )$ ; confidence 0.976
+
163. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063920/m063920116.png ; $\int \int K d S$ ; confidence 0.865
  
164. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120070/g12007022.png ; $m \equiv 4$ ; confidence 0.840
+
164. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110380/b11038070.png ; $\Theta f$ ; confidence 0.864
  
165. https://www.encyclopediaofmath.org/legacyimages/g/g110/g110260/g1102602.png ; $B M$ ; confidence 0.973
+
165. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041250/f0412506.png ; $\infty \rightarrow \alpha / c$ ; confidence 0.864
  
166. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045370/g0453708.png ; $f ( z ) = e ^ { ( \alpha - i b ) z ^ { \rho } }$ ; confidence 0.743
+
166. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063590/m06359074.png ; $F \mapsto F ( P )$ ; confidence 0.864
  
167. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046010/h046010125.png ; $M _ { 2 } \times S ^ { N }$ ; confidence 0.923
+
167. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510139.png ; $L \subset Z ^ { 0 }$ ; confidence 0.864
  
168. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046010/h046010104.png ; $m \geq 3$ ; confidence 0.668
+
168. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087320/s08732031.png ; $\Pi ^ { * } \in C$ ; confidence 0.864
  
169. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120010/h12001013.png ; $X ^ { ( r ) } \rightarrow V$ ; confidence 0.950
+
169. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093770/t09377039.png ; $g = R ^ { \alpha } f$ ; confidence 0.864
  
170. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130090/h13009043.png ; $g _ { i } \in A$ ; confidence 0.960
+
170. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240240.png ; $\sigma ^ { 2 }$ ; confidence 0.864
  
171. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130090/h13009035.png ; $g \rightarrow g$ ; confidence 0.987
+
171. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022013.png ; $T : X \rightarrow Y$ ; confidence 0.863
  
172. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046080/h04608018.png ; $| x _ { \mathfrak { j } } | \leq M$ ; confidence 0.106
+
172. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005085.png ; $0 \leq t _ { 1 } \leq \ldots \leq t _ { k } \leq T$ ; confidence 0.863
  
173. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110050/h11005031.png ; $w _ { 2 } = f ( r _ { 1 } ) \ldots f ( r _ { n } )$ ; confidence 0.851
+
173. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c02278058.png ; $O ( X ) = \oplus _ { n = - \infty } ^ { + \infty } O ^ { n } ( X )$ ; confidence 0.863
  
174. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110050/h1100503.png ; $\alpha _ { 1 } \ldots \alpha _ { m }$ ; confidence 0.435
+
174. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590370.png ; $x _ { 0 } ^ { 2 } + \ldots + x _ { n } ^ { 2 } = 0$ ; confidence 0.863
  
175. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046280/h04628046.png ; $\frac { d ^ { 2 } y } { d t ^ { 2 } } + P ( t ) y = 0$ ; confidence 1.000
+
175. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013250/a01325015.png ; $\operatorname { arg } f$ ; confidence 0.862
  
176. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046280/h04628059.png ; $x ^ { ( 1 ) } = x ^ { ( 1 ) } ( t )$ ; confidence 0.898
+
176. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055480/k05548036.png ; $\| g _ { \alpha \beta } \|$ ; confidence 0.862
  
177. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046280/h046280124.png ; $X = \| \left. \begin{array} { l l } { U _ { 1 } } & { U _ { 2 } } \\ { V _ { 1 } } & { V _ { 2 } } \end{array} \right. |$ ; confidence 0.501
+
177. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072210/p07221037.png ; $F ^ { k }$ ; confidence 0.862
  
178. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046300/h04630075.png ; $M _ { 0 } \times I$ ; confidence 0.798
+
178. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093330/t09333059.png ; $r _ { 2 } \in R$ ; confidence 0.862
  
179. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046300/h046300124.png ; $P _ { n - k }$ ; confidence 0.990
+
179. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081430/r08143081.png ; $e X$ ; confidence 0.861
  
180. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120020/h120020104.png ; $P _ { - } \phi \in B _ { p } ^ { 1 / p }$ ; confidence 0.963
+
180. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026980/c02698053.png ; $E _ { 8 }$ ; confidence 0.860
  
181. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120020/h1200207.png ; $\hat { \phi } ( j ) = \alpha$ ; confidence 0.791
+
181. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066520/n06652019.png ; $\epsilon < \epsilon ^ { \prime } < \ldots$ ; confidence 0.860
  
182. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046370/h04637024.png ; $M ( x ) = M _ { f } ( x ) = \operatorname { sup } _ { 0 < k | \leq \pi } \frac { 1 } { t } \int _ { x } ^ { x + t } | f ( u ) | d u$ ; confidence 0.412
+
182. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097670/w097670169.png ; $\operatorname { gr } ( A _ { 1 } ( K ) )$ ; confidence 0.860
  
183. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046370/h04637012.png ; $\int _ { \alpha } ^ { b } \theta ^ { p } ( x ) d x \leq 2 ( \frac { p } { p - 1 } ) ^ { p } \int _ { a } ^ { b } f ^ { p } ( x ) d x$ ; confidence 0.187
+
183. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040106.png ; $L ] = \lambda$ ; confidence 0.859
  
184. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046320/h046320114.png ; $H ^ { p } ( G )$ ; confidence 0.998
+
184. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017800/b01780053.png ; $n = p$ ; confidence 0.858
  
185. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046320/h046320200.png ; $M _ { \delta } ( \phi ) \rightarrow 0$ ; confidence 0.996
+
185. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025470/c02547063.png ; $\alpha = d t + \sum p _ { i } d q _ { i }$ ; confidence 0.858
  
186. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h046420330.png ; $B = B _ { E }$ ; confidence 0.754
+
186. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130020/e13002010.png ; $\varphi$ ; confidence 0.858
  
187. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h04642087.png ; $L _ { \infty } ( \hat { G } )$ ; confidence 0.973
+
187. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063920/m063920117.png ; $\int \int K d S \leq 2 \pi ( \chi - k )$ ; confidence 0.858
  
188. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h046420200.png ; $F ( \phi ) \in A ( \hat { G } )$ ; confidence 0.909
+
188. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082570/r08257030.png ; $j 2 ^ { - k - l }$ ; confidence 0.858
  
189. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h046420189.png ; $f = f _ { 1 } * f _ { 2 }$ ; confidence 0.989
+
189. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240354.png ; $E ( Z _ { 2 } )$ ; confidence 0.857
  
190. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h046420157.png ; $d g = d h d k$ ; confidence 0.955
+
190. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036910/e03691052.png ; $z = \operatorname { ln } \alpha = \operatorname { ln } | \alpha | + i \operatorname { Arg } \alpha$ ; confidence 0.857
  
191. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046460/h04646046.png ; $p + q \leq \operatorname { dim } _ { C } M$ ; confidence 0.688
+
191. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058820/l058820245.png ; $\operatorname { lim } _ { x \rightarrow x _ { 0 } } ( f _ { 1 } ( x ) / f _ { 2 } ( x ) )$ ; confidence 0.857
  
192. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046470/h046470224.png ; $d \sigma ( y )$ ; confidence 0.992
+
192. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a1301304.png ; $8$ ; confidence 0.857
  
193. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120030/h12003026.png ; $\operatorname { dim } M = 2$ ; confidence 0.993
+
193. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021620/c02162087.png ; $\kappa ( \eta ^ { q } ) \in H ^ { 2 q } ( B )$ ; confidence 0.856
  
194. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046600/h0466006.png ; $\{ x : | x - y | < r \}$ ; confidence 0.915
+
194. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036980/e03698026.png ; $\alpha : G \rightarrow \operatorname { Aut } A$ ; confidence 0.856
  
195. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047020/h04702011.png ; $F _ { n } ( x ) = ( x _ { 1 } ^ { 2 } + \ldots + x _ { y } ^ { 2 } ) ^ { 1 / 2 }$ ; confidence 0.316
+
195. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004020.png ; $a$ ; confidence 0.856
  
196. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047070/h0470704.png ; $\alpha _ { i k } = \overline { a _ { k i } }$ ; confidence 0.235
+
196. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016170/b01617013.png ; $F _ { n } ( z )$ ; confidence 0.855
  
197. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047160/h04716013.png ; $H ( z )$ ; confidence 0.999
+
197. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041310/f04131029.png ; $\Lambda = \frac { \partial } { \partial x } + i \frac { \partial } { \partial y }$ ; confidence 0.855
  
198. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047160/h0471603.png ; $H ( z ) = \sum _ { i = 1 } ^ { n } \sum _ { j = 1 } ^ { n } a _ { i j } z _ { i } z _ { j }$ ; confidence 0.374
+
198. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130060/b13006060.png ; $b _ { i }$ ; confidence 0.854
  
199. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047210/h0472103.png ; $C$ ; confidence 0.952
+
199. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033460/d033460124.png ; $| F _ { 0 } ^ { \prime } ( \zeta _ { 0 } ) | \leq | F ^ { \prime } ( \zeta _ { 0 } ) | \leq | F _ { \pi / 2 } ^ { \prime } ( \zeta _ { 0 } ) |$ ; confidence 0.854
  
200. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047210/h04721080.png ; $X _ { 1 } \cap Y _ { 1 } = \emptyset$ ; confidence 0.988
+
200. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086960/s08696076.png ; $V < 0$ ; confidence 0.854
  
201. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047210/h04721043.png ; $\Sigma _ { n } ^ { 0 }$ ; confidence 0.998
+
201. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539056.png ; $\delta ^ { * } ( x ) = \left\{ \begin{array} { l l } { d _ { 1 } , } & { \text { if } \frac { p ( x | \theta _ { 2 } ) } { p ( x | \theta _ { 1 } ) } \leq \frac { \pi _ { 1 } } { \pi _ { 2 } } \frac { L _ { 12 } - L _ { 11 } } { L _ { 21 } - L _ { 22 } } } \\ { d _ { 2 } , } & { \text { if } \frac { p ( x | \theta _ { 2 } ) } { p ( x | \theta _ { 1 } ) } \geq \frac { \pi _ { 1 } } { \pi _ { 2 } } \frac { L _ { 12 } - L _ { 11 } } { L _ { 21 } - L _ { 22 } } } \end{array} \right.$ ; confidence 0.853
  
202. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047270/h04727012.png ; $\lambda = p ^ { - 1 } + r ^ { - 1 } \leq 1$ ; confidence 0.999
+
202. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033980/d03398025.png ; $\sum _ { m = 1 } ^ { \infty } u _ { m n n }$ ; confidence 0.852
  
203. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047380/h047380203.png ; $\nu \in A$ ; confidence 0.971
+
203. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035110/e03511022.png ; $\Sigma - 1$ ; confidence 0.852
  
204. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047380/h047380120.png ; $\sum _ { i } | \alpha _ { i } | ^ { 2 } < \infty$ ; confidence 0.995
+
204. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092600/t092600123.png ; $B = I _ { p }$ ; confidence 0.852
  
205. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047380/h047380204.png ; $\sum _ { \nu \in A } \| x _ { \nu } \| ^ { 2 } < \infty$ ; confidence 0.895
+
205. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240302.png ; $\hat { \eta } \omega$ ; confidence 0.852
  
206. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047390/h047390181.png ; $V = V ^ { + } \oplus V ^ { - }$ ; confidence 0.953
+
206. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023250/c023250173.png ; $\beta _ { 0 }$ ; confidence 0.851
  
207. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047440/h04744011.png ; $\lambda _ { 4 n }$ ; confidence 0.681
+
207. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110050/h11005031.png ; $w _ { 2 } = f ( r _ { 1 } ) \ldots f ( r _ { n } )$ ; confidence 0.851
  
208. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047440/h04744030.png ; $f ( 0 ) = f ( 1 ) = 0$ ; confidence 1.000
+
208. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059110/l05911087.png ; $l _ { 2 } u = \phi _ { 2 } ( t )$ ; confidence 0.851
  
209. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110200/h11020058.png ; $\Psi ( y _ { n } ) \subseteq \Psi ( y _ { 0 } )$ ; confidence 0.934
+
209. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120120/l120120133.png ; $( K _ { p } ) _ { i n s }$ ; confidence 0.851
  
210. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047470/h04747031.png ; $F ^ { p }$ ; confidence 0.768
+
210. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130250/c13025017.png ; $Y _ { j } = i$ ; confidence 0.850
  
211. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110220/h1102204.png ; $h : E ^ { m } \rightarrow R$ ; confidence 0.941
+
211. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050950/i05095033.png ; $S = \frac { K } { 3 }$ ; confidence 0.850
  
212. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047540/h04754045.png ; $\Omega \frac { p } { x }$ ; confidence 0.447
+
212. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c02278052.png ; $N \gg n$ ; confidence 0.849
  
213. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047560/h04756028.png ; $f ^ { - 1 } \circ f ( z ) = z$ ; confidence 0.986
+
213. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024890/c0248905.png ; $\alpha ( x ) - b ( x ) = f ( x ) g ( x ) + p h ( x )$ ; confidence 0.849
  
214. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047610/h04761062.png ; $\mathfrak { M } ( M )$ ; confidence 0.763
+
214. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040230/f040230100.png ; $x _ { n } = n$ ; confidence 0.849
  
215. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110240/h11024037.png ; $\mu _ { 1 } < 0 < \lambda _ { 1 }$ ; confidence 0.999
+
215. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064580/m06458025.png ; $k _ { 1 } + \ldots + k _ { n } = k$ ; confidence 0.849
  
216. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110240/h11024025.png ; $n _ { s } + n _ { u } = n$ ; confidence 0.172
+
216. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044470/g044470103.png ; $\psi \circ \phi = \phi ^ { \prime } \circ \psi$ ; confidence 0.848
  
217. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h04769040.png ; $g x = y$ ; confidence 0.997
+
217. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066890/n06689067.png ; $v = 1.1 m / sec$ ; confidence 0.848
  
218. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h047690116.png ; $G = SU ( k )$ ; confidence 0.645
+
218. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680179.png ; $\phi _ { x y } a \leq b$ ; confidence 0.847
  
219. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047730/h04773077.png ; $\beta ^ { s - k } z ^ { \prime }$ ; confidence 0.907
+
219. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130080/d13008069.png ; $H = C ^ { n }$ ; confidence 0.847
  
220. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047740/h047740112.png ; $R ) = r . g \operatorname { lowdim } ( R ) = \operatorname { glowdim } ( R )$ ; confidence 0.142
+
220. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a130130103.png ; $K P$ ; confidence 0.846
  
221. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047740/h04774059.png ; $0 \rightarrow A ^ { \prime } \rightarrow A \rightarrow A ^ { \prime \prime } \rightarrow 0$ ; confidence 0.930
+
221. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110580/a11058047.png ; $= v : q$ ; confidence 0.846
  
222. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h12012026.png ; $f \phi = 0$ ; confidence 0.993
+
222. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120070/e12007012.png ; $\Gamma _ { q }$ ; confidence 0.846
  
223. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h120120117.png ; $T ( H ( A ) )$ ; confidence 0.997
+
223. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120080/f120080162.png ; $L _ { q } ( X )$ ; confidence 0.846
  
224. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047860/h047860136.png ; $n = r \neq 0$ ; confidence 0.966
+
224. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a120160130.png ; $W E = R . F . I$ ; confidence 0.845
  
225. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047930/h047930317.png ; $S X \rightarrow S X$ ; confidence 0.972
+
225. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036070/e03607020.png ; $\tau _ { n } ^ { ( B ) }$ ; confidence 0.845
  
226. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047930/h047930299.png ; $Z / p$ ; confidence 0.808
+
226. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058820/l058820138.png ; $\operatorname { lim } _ { x \rightarrow x _ { 0 } } f ( x ) = \alpha$ ; confidence 0.845
  
227. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047930/h04793027.png ; $x = [ u ]$ ; confidence 0.825
+
227. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064720/m0647206.png ; $f _ { E } ^ { \prime } ( \zeta )$ ; confidence 0.845
  
228. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047940/h04794088.png ; $e _ { i } : O ( \Delta _ { q - 1 } ) \rightarrow O ( \Delta _ { q } )$ ; confidence 0.793
+
228. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070220/o07022036.png ; $E$ ; confidence 0.845
  
229. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047940/h047940245.png ; $\Delta _ { q }$ ; confidence 0.971
+
229. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074690/p07469030.png ; $\pi G ( x ) = b$ ; confidence 0.845
  
230. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047940/h047940319.png ; $\eta : \pi _ { N } \otimes \pi _ { N } \rightarrow \pi _ { N } + 1$ ; confidence 0.085
+
230. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082230/r0822307.png ; $| x _ { i } | \leq 1$ ; confidence 0.845
  
231. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797023.png ; $\mu ^ { * } : A ^ { * } \rightarrow A ^ { * } \otimes A ^ { * }$ ; confidence 0.991
+
231. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c120210117.png ; $\Lambda _ { n } ( \theta ) - h ^ { \prime } \Delta _ { n } ( \theta ) \rightarrow - \frac { 1 } { 2 } h ^ { \prime } \Gamma ( \theta ) h$ ; confidence 0.843
  
232. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110250/h11025012.png ; $T ^ { \aleph } x \in A$ ; confidence 0.469
+
232. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120010/j12001037.png ; $\operatorname { log } F \leq 100$ ; confidence 0.843
  
233. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048000/h04800018.png ; $\Omega \in \Delta ^ { n } S$ ; confidence 0.506
+
233. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075350/p07535017.png ; $q IL$ ; confidence 0.843
  
234. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110300/h1103003.png ; $\psi ( x ) = \sum x ^ { \prime } \otimes x ^ { \prime \prime }$ ; confidence 0.991
+
234. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i050230312.png ; $- \infty < r < \infty$ ; confidence 0.842
  
235. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048080/h04808011.png ; $n - 1 \geq p$ ; confidence 0.999
+
235. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051880/i05188051.png ; $\mathfrak { M } \in S _ { 1 }$ ; confidence 0.842
  
236. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110330/h11033039.png ; $n \leq s \leq 2 n - 2$ ; confidence 0.997
+
236. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042077.png ; $K _ { 0 } ( \varphi ) = K _ { 0 } ( \psi )$ ; confidence 0.842
  
237. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110370/h11037062.png ; $n \neq 0$ ; confidence 0.999
+
237. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a1202209.png ; $x | < e$ ; confidence 0.841
  
238. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048190/h0481908.png ; $\nu = 0$ ; confidence 0.923
+
238. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082290/r08229026.png ; $y _ { n } \leq x _ { n } \leq z _ { n }$ ; confidence 0.841
  
239. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048200/h0482005.png ; $Z = 1$ ; confidence 0.980
+
239. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031950/d03195033.png ; $L u = \operatorname { div } ( p ( x ) \operatorname { grad } u ) + q ( x ) u$ ; confidence 0.840
  
240. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130120/h13012038.png ; $| f ( x + y ) - f ( x ) f ( y ) | \leq \varepsilon$ ; confidence 0.999
+
240. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037080/e03708073.png ; $x _ { i } ^ { 2 } = 0$ ; confidence 0.840
  
241. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130130/h13013015.png ; $e ^ { i k x }$ ; confidence 0.648
+
241. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120110/f12011010.png ; $| \varphi ( z ) | ^ { 2 } e ^ { \delta | z | }$ ; confidence 0.840
  
242. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048250/h04825025.png ; $O A M$ ; confidence 0.981
+
242. https://www.encyclopediaofmath.org/legacyimages/g/g120/g120070/g12007022.png ; $m \equiv 4$ ; confidence 0.840
  
243. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048270/h04827072.png ; $f : \Omega \rightarrow B$ ; confidence 0.997
+
243. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077260/r07726020.png ; $\zeta _ { 2 n } = \sqrt { - 2 \operatorname { ln } \xi _ { 2 n } } \operatorname { sin } 2 \pi \xi _ { 2 n - 1 }$ ; confidence 0.840
  
244. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048300/h04830032.png ; $P _ { m } ( \xi + \tau N )$ ; confidence 0.978
+
244. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020740/c020740328.png ; $e \in E$ ; confidence 0.839
  
245. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048310/h0483101.png ; $\frac { \partial w } { \partial t } = A \frac { \partial w } { \partial x }$ ; confidence 0.980
+
245. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062490/m06249026.png ; $\Lambda \in N ^ { t }$ ; confidence 0.838
  
246. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048310/h04831085.png ; $\alpha = a ( x )$ ; confidence 0.757
+
246. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022031.png ; $0 \leq S \leq T$ ; confidence 0.838
  
247. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048330/h04833042.png ; $W _ { X } ^ { S }$ ; confidence 0.678
+
247. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300102.png ; $C$ ; confidence 0.838
  
248. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048330/h04833033.png ; $E _ { X } ^ { N }$ ; confidence 0.539
+
248. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055450/k0554502.png ; $u | _ { \Sigma } = 0$ ; confidence 0.837
  
249. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048390/h04839015.png ; $U ^ { ( 2 ) }$ ; confidence 0.956
+
249. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059250/l05925090.png ; $v \in ( 1 - t ) V$ ; confidence 0.837
  
250. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110400/h11040046.png ; $\int _ { X } | f ( x ) | ^ { 2 } \operatorname { ln } | f ( x ) | d \mu ( x ) \leq$ ; confidence 0.990
+
250. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085620/s085620184.png ; $f _ { t } = h _ { t } \circ f _ { 0 } \circ k _ { t }$ ; confidence 0.837
  
251. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110400/h11040065.png ; $H _ { 1 } \otimes I + I \otimes H _ { 2 }$ ; confidence 0.996
+
251. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090450/s09045062.png ; $\zeta ^ { \phi } \in C ^ { d }$ ; confidence 0.837
  
252. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048420/h048420118.png ; $F _ { j } ( z ) = \sum _ { k = 1 } ^ { N } G _ { j k } ( z )$ ; confidence 0.944
+
252. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032610/d03261012.png ; $y = y _ { 0 } - a n$ ; confidence 0.836
  
253. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048420/h0484203.png ; $F _ { + } ( x + i 0 ) - F _ { - } ( x - i 0 )$ ; confidence 0.881
+
253. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054050/j05405060.png ; $H _ { 2 } = \prod _ { m = 1 } ^ { \infty } ( 1 + e ^ { ( 2 m - 1 ) i \pi \tau } )$ ; confidence 0.836
  
254. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048440/h04844022.png ; $\alpha - \beta$ ; confidence 1.000
+
254. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110100/b11010099.png ; $\| T \| T ^ { - 1 } \| \geq c n$ ; confidence 0.835
  
255. 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
+
255. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025440/c02544025.png ; $D ^ { + } = \cup _ { k = 1 } ^ { m } D _ { k }$ ; confidence 0.835
  
256. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048450/h0484501.png ; $z ( 1 - z ) w ^ { \prime \prime } + [ \gamma - ( \alpha + \beta + 1 ) z ] w ^ { \prime } - \alpha \beta w = 0$ ; confidence 0.996
+
256. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110410/c11041081.png ; $\{ X _ { t } : t \in T \}$ ; confidence 0.835
  
257. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048520/h04852064.png ; $| f | = 1$ ; confidence 0.989
+
257. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650252.png ; $\forall x _ { k }$ ; confidence 0.834
  
258. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120150/h12015024.png ; $\operatorname { log } | \phi ( h ) | = \int \operatorname { log } | h | d$ ; confidence 0.751
+
258. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110070/e11007046.png ; $C x ^ { - 1 }$ ; confidence 0.834
  
259. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110430/h1104304.png ; $H _ { 1 } ( x ) < H _ { 2 } ( x )$ ; confidence 0.999
+
259. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041250/f0412503.png ; $z \rightarrow w = L ( z ) = \frac { a z + b } { c z + d }$ ; confidence 0.834
  
260. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047512/h04751218.png ; $A = \operatorname { sup } _ { y \in E } A ( y ) < \infty$ ; confidence 0.997
+
260. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240429.png ; $\Theta$ ; confidence 0.834
  
261. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050030/i05003048.png ; $I _ { X }$ ; confidence 0.507
+
261. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014060/a01406076.png ; $\mathfrak { A } _ { s _ { 1 } }$ ; confidence 0.833
  
262. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050030/i050030120.png ; $A \backslash I$ ; confidence 0.946
+
262. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015350/b01535027.png ; $\alpha _ { i } \in \Omega$ ; confidence 0.833
  
263. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110020/i11002022.png ; $0 = + \infty$ ; confidence 0.667
+
263. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830269.png ; $\operatorname { ord } ( \theta ) = \sum e$ ; confidence 0.833
  
264. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110020/i11002068.png ; $( \lambda \odot \mu ) \odot v = \lambda \odot ( \mu \odot v )$ ; confidence 0.955
+
264. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062590/m06259032.png ; $B = 0$ ; confidence 0.833
  
265. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110020/i11002080.png ; $( A )$ ; confidence 1.000
+
265. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015580/b0155806.png ; $p _ { i } = \nu ( \alpha _ { i } )$ ; confidence 0.832
  
266. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110060/i11006080.png ; $T$ ; confidence 0.652
+
266. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097030/w09703012.png ; $\overline { \sum _ { g } n ( g ) g } = \sum w ( g ) n ( g ) g ^ { - 1 }$ ; confidence 0.832
  
267. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110060/i11006083.png ; $H \equiv L \circ K$ ; confidence 0.769
+
267. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013041.png ; $\sum _ { i = 0 } ^ { \infty } X _ { i } z ^ { - i }$ ; confidence 0.831
  
268. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i050230319.png ; $f \in S _ { y } ^ { \prime }$ ; confidence 0.307
+
268. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032250/d03225022.png ; $\partial M$ ; confidence 0.831
  
269. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i050230164.png ; $H _ { p } ^ { r } ( R ^ { n } ) \rightarrow H _ { p ^ { \prime } } ^ { \rho ^ { \prime } } ( R ^ { m } ) \rightarrow H _ { p l ^ { \prime \prime } } ^ { \rho ^ { \prime \prime } } ( R ^ { m ^ { \prime \prime } } )$ ; confidence 0.143
+
269. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130080/i13008028.png ; $X ^ { \prime \prime } = L _ { 1 } ^ { \prime \prime } \cap L _ { 2 } ^ { \prime \prime } = L _ { 2 } ^ { \prime \prime } \cap L _ { 3 } ^ { \prime \prime } = L _ { 1 } ^ { \prime \prime } \cap L _ { 3 } ^ { \prime \prime }$ ; confidence 0.831
  
270. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i05023059.png ; $1 < m \leq n$ ; confidence 0.737
+
270. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130640/s13064057.png ; $L ^ { 1 } ( R ) \cap L ^ { \infty } ( R )$ ; confidence 0.831
  
271. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i050230379.png ; $\| f \| _ { \Lambda _ { p } ^ { r } ( R ^ { n } ) } \leq K$ ; confidence 0.335
+
271. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023140/c023140243.png ; $u \mapsto \rho ( u ) - \operatorname { Tr } ( \text { ad } u ) \in \operatorname { End } _ { K } ( M )$ ; confidence 0.830
  
272. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i050230228.png ; $D _ { j } ^ { l } f \in L _ { p } ( R ^ { n } )$ ; confidence 0.948
+
272. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090770/s090770137.png ; $\lambda _ { 1 } < \lambda _ { 2 } < \ldots$ ; confidence 0.830
  
273. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i050230312.png ; $- \infty < r < \infty$ ; confidence 0.842
+
273. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015720/b01572032.png ; $+ \frac { \alpha } { u } [ \alpha ( \frac { \partial u } { \partial x } ) ^ { 2 } + 2 b \frac { \partial u } { \partial x } \frac { \partial u } { \partial y } + c ( \frac { \partial u } { \partial y } ) ^ { 2 } ] +$ ; confidence 0.828
  
274. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050310/i05031036.png ; $\delta _ { 0 } > 0$ ; confidence 1.000
+
274. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031680/d03168056.png ; $q _ { 2 } \neq q _ { 1 }$ ; confidence 0.828
  
275. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050400/i05040021.png ; $[ t ^ { n } : t ^ { n - 1 } ] = 0$ ; confidence 0.989
+
275. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059490/l059490217.png ; $\rho ^ { ( j ) }$ ; confidence 0.828
  
276. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130020/i13002074.png ; $+ \frac { n } { p _ { 1 } p _ { 2 } } + \ldots + \frac { n } { p _ { k - 1 } p _ { k } } + - \frac { n } { p _ { 1 } p _ { 2 } p _ { 3 } } - \ldots + ( - 1 ) ^ { k } \frac { n } { p _ { 1 } \ldots p _ { k } }$ ; confidence 0.552
+
276. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083000/s08300044.png ; $D _ { n } X _ { 1 }$ ; confidence 0.828
  
277. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050640/i05064012.png ; $\gamma = \operatorname { ind } _ { g } a$ ; confidence 0.608
+
277. https://www.encyclopediaofmath.org/legacyimages/y/y110/y110010/y11001011.png ; $g ^ { \prime } = \phi ^ { 4 / ( n - 2 ) } g$ ; confidence 0.828
  
278. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i0506506.png ; $D = L _ { 1 } / D ( L _ { 0 } )$ ; confidence 0.998
+
278. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110050/c11005010.png ; $CW ( 9.63 )$ ; confidence 0.827
  
279. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650145.png ; $\phi * : H ^ { * } ( B / S ) = H ^ { * } ( T M ) \rightarrow H ^ { * } ( M )$ ; confidence 0.867
+
279. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075480/p0754802.png ; $( p \supset ( q \supset r ) ) \supset ( ( p \supset q ) \supset ( p \supset r ) )$ ; confidence 0.827
  
280. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650302.png ; $D$ ; confidence 0.996
+
280. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075830/p0758301.png ; $a \vee b$ ; confidence 0.827
  
281. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i05065016.png ; $B ( M )$ ; confidence 1.000
+
281. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087360/s087360105.png ; $\operatorname { lim } _ { n \rightarrow \infty } P \{ \frac { \alpha - \alpha } { \sigma _ { n } ( \alpha ) } < x \} = \frac { 1 } { \sqrt { 2 \pi } } \int _ { - \infty } ^ { x } e ^ { - t ^ { 2 } / 2 } d t \equiv \Phi ( x )$ ; confidence 0.827
  
282. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650148.png ; $\therefore M \rightarrow E$ ; confidence 0.524
+
282. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130090/c13009010.png ; $x _ { j } = \operatorname { cos } ( \pi j / N )$ ; confidence 0.826
  
283. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650137.png ; $K ( B / S )$ ; confidence 0.995
+
283. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070340/o07034097.png ; $y = K _ { n } ( x )$ ; confidence 0.826
  
284. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650262.png ; $K ( T M ^ { g } ) \otimes C \rightarrow C$ ; confidence 0.882
+
284. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590585.png ; $\| x \| = \rho$ ; confidence 0.826
  
285. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650350.png ; $i _ { \alpha } ( D ) \in K ( Y )$ ; confidence 0.971
+
285. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047930/h04793027.png ; $x = [ u ]$ ; confidence 0.825
  
286. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650103.png ; $\Sigma ( M ) = B ^ { + } \cup _ { S ( M ) } B ^ { - }$ ; confidence 0.500
+
286. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012050.png ; $z | > 1$ ; confidence 0.823
  
287. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i130030178.png ; $h ( [ a ] )$ ; confidence 0.265
+
287. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035720/e0357202.png ; $\operatorname { lim } _ { k \rightarrow \infty } | \alpha _ { k } | ^ { 1 / k } = 0$ ; confidence 0.823
  
288. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i130030142.png ; $\pi$ ; confidence 0.507
+
288. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075560/p075560134.png ; $( P . Q ) ! = ( P \times Q ) ! = ( P ! \times Q ! ) !$ ; confidence 0.823
  
289. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i13003026.png ; $[ T ^ { * } M ]$ ; confidence 0.990
+
289. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013056.png ; $A _ { 1 } ^ { ( 1 ) }$ ; confidence 0.822
  
290. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050720/i05072015.png ; $\eta : Y \rightarrow B$ ; confidence 0.984
+
290. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016670/b01667071.png ; $n _ { 1 } = 9$ ; confidence 0.822
  
291. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050730/i050730155.png ; $\nu _ { S }$ ; confidence 0.758
+
291. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063090/m06309023.png ; $r _ { 0 } ^ { * } + \sum _ { j = 1 } ^ { q } \beta _ { j } r _ { j } ^ { * } = \sigma ^ { 2 }$ ; confidence 0.822
  
292. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050730/i05073063.png ; $K \subset H$ ; confidence 0.959
+
292. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110130/m11013041.png ; $\beta + \gamma \simeq \alpha . S ( t )$ ; confidence 0.822
  
293. 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
+
293. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004069.png ; $X ^ { * } = \Gamma \backslash D ^ { * }$ ; confidence 0.822
  
294. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050770/i05077013.png ; $\phi _ { \alpha \alpha } = 1 _ { A _ { \alpha } }$ ; confidence 0.624
+
294. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043580/g04358023.png ; $f _ { \zeta } ( \lambda )$ ; confidence 0.821
  
295. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050770/i05077064.png ; $A = \operatorname { lim } _ { \rightarrow } F ( D )$ ; confidence 0.939
+
295. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059140/l0591406.png ; $T _ { x _ { 1 } } ( M ) \rightarrow T _ { x _ { 0 } } ( M )$ ; confidence 0.821
  
296. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050790/i05079039.png ; $| \alpha _ { 1 } + \ldots + \alpha _ { n } | \leq | \alpha _ { 1 } | + \ldots + | \alpha _ { n } |$ ; confidence 0.160
+
296. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082050/r08205056.png ; $\partial \overline { R } _ { \nu }$ ; confidence 0.821
  
297. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050850/i05085060.png ; $A < \operatorname { ln } d X$ ; confidence 0.106
+
297. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015110/b01511035.png ; $U ( y ) = \int _ { \Gamma } f ( x ) d \beta _ { Y } ( x )$ ; confidence 0.820
  
298. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050850/i05085011.png ; $1 ^ { \circ }$ ; confidence 0.592
+
298. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016990/b0169909.png ; $\Omega _ { M } ( \rho ) \in V _ { M } ^ { V ^ { n } }$ ; confidence 0.820
  
299. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050910/i05091079.png ; $Y _ { n k }$ ; confidence 0.813
+
299. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021620/c02162091.png ; $c _ { q } ( \xi ) = \kappa ( \eta ^ { q } )$ ; confidence 0.820
  
300. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050950/i05095025.png ; $= 2 \pi ^ { 3 } a ^ { 2 } \frac { ( n + 1 ) ( 2 n + 1 ) } { 3 n ^ { 2 } }$ ; confidence 0.781
+
300. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d130060103.png ; $Z \in X$ ; confidence 0.820

Revision as of 11:45, 1 September 2019

List

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

21. 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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

80. 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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

96. 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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

132. 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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

201. 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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

232. j12001037.png ; $\operatorname { log } F \leq 100$ ; confidence 0.843

233. p07535017.png ; $q IL$ ; confidence 0.843

234. i050230312.png ; $- \infty < r < \infty$ ; confidence 0.842

235. i05188051.png ; $\mathfrak { M } \in S _ { 1 }$ ; confidence 0.842

236. a11042077.png ; $K _ { 0 } ( \varphi ) = K _ { 0 } ( \psi )$ ; confidence 0.842

237. a1202209.png ; $x | < e$ ; confidence 0.841

238. r08229026.png ; $y _ { n } \leq x _ { n } \leq z _ { n }$ ; confidence 0.841

239. d03195033.png ; $L u = \operatorname { div } ( p ( x ) \operatorname { grad } u ) + q ( x ) u$ ; confidence 0.840

240. e03708073.png ; $x _ { i } ^ { 2 } = 0$ ; confidence 0.840

241. f12011010.png ; $| \varphi ( z ) | ^ { 2 } e ^ { \delta | z | }$ ; confidence 0.840

242. g12007022.png ; $m \equiv 4$ ; confidence 0.840

243. r07726020.png ; $\zeta _ { 2 n } = \sqrt { - 2 \operatorname { ln } \xi _ { 2 n } } \operatorname { sin } 2 \pi \xi _ { 2 n - 1 }$ ; confidence 0.840

244. c020740328.png ; $e \in E$ ; confidence 0.839

245. m06249026.png ; $\Lambda \in N ^ { t }$ ; confidence 0.838

246. a12022031.png ; $0 \leq S \leq T$ ; confidence 0.838

247. a1300102.png ; $C$ ; confidence 0.838

248. k0554502.png ; $u | _ { \Sigma } = 0$ ; confidence 0.837

249. l05925090.png ; $v \in ( 1 - t ) V$ ; confidence 0.837

250. s085620184.png ; $f _ { t } = h _ { t } \circ f _ { 0 } \circ k _ { t }$ ; confidence 0.837

251. s09045062.png ; $\zeta ^ { \phi } \in C ^ { d }$ ; confidence 0.837

252. d03261012.png ; $y = y _ { 0 } - a n$ ; confidence 0.836

253. j05405060.png ; $H _ { 2 } = \prod _ { m = 1 } ^ { \infty } ( 1 + e ^ { ( 2 m - 1 ) i \pi \tau } )$ ; confidence 0.836

254. b11010099.png ; $\| T \| T ^ { - 1 } \| \geq c n$ ; confidence 0.835

255. c02544025.png ; $D ^ { + } = \cup _ { k = 1 } ^ { m } D _ { k }$ ; confidence 0.835

256. c11041081.png ; $\{ X _ { t } : t \in T \}$ ; confidence 0.835

257. a011650252.png ; $\forall x _ { k }$ ; confidence 0.834

258. e11007046.png ; $C x ^ { - 1 }$ ; confidence 0.834

259. f0412503.png ; $z \rightarrow w = L ( z ) = \frac { a z + b } { c z + d }$ ; confidence 0.834

260. a130240429.png ; $\Theta$ ; confidence 0.834

261. a01406076.png ; $\mathfrak { A } _ { s _ { 1 } }$ ; confidence 0.833

262. b01535027.png ; $\alpha _ { i } \in \Omega$ ; confidence 0.833

263. d031830269.png ; $\operatorname { ord } ( \theta ) = \sum e$ ; confidence 0.833

264. m06259032.png ; $B = 0$ ; confidence 0.833

265. b0155806.png ; $p _ { i } = \nu ( \alpha _ { i } )$ ; confidence 0.832

266. w09703012.png ; $\overline { \sum _ { g } n ( g ) g } = \sum w ( g ) n ( g ) g ^ { - 1 }$ ; confidence 0.832

267. a13013041.png ; $\sum _ { i = 0 } ^ { \infty } X _ { i } z ^ { - i }$ ; confidence 0.831

268. d03225022.png ; $\partial M$ ; confidence 0.831

269. 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

270. s13064057.png ; $L ^ { 1 } ( R ) \cap L ^ { \infty } ( R )$ ; confidence 0.831

271. c023140243.png ; $u \mapsto \rho ( u ) - \operatorname { Tr } ( \text { ad } u ) \in \operatorname { End } _ { K } ( M )$ ; confidence 0.830

272. s090770137.png ; $\lambda _ { 1 } < \lambda _ { 2 } < \ldots$ ; confidence 0.830

273. 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

274. d03168056.png ; $q _ { 2 } \neq q _ { 1 }$ ; confidence 0.828

275. l059490217.png ; $\rho ^ { ( j ) }$ ; confidence 0.828

276. s08300044.png ; $D _ { n } X _ { 1 }$ ; confidence 0.828

277. y11001011.png ; $g ^ { \prime } = \phi ^ { 4 / ( n - 2 ) } g$ ; confidence 0.828

278. c11005010.png ; $CW ( 9.63 )$ ; confidence 0.827

279. p0754802.png ; $( p \supset ( q \supset r ) ) \supset ( ( p \supset q ) \supset ( p \supset r ) )$ ; confidence 0.827

280. p0758301.png ; $a \vee b$ ; confidence 0.827

281. 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

282. c13009010.png ; $x _ { j } = \operatorname { cos } ( \pi j / N )$ ; confidence 0.826

283. o07034097.png ; $y = K _ { n } ( x )$ ; confidence 0.826

284. s085590585.png ; $\| x \| = \rho$ ; confidence 0.826

285. h04793027.png ; $x = [ u ]$ ; confidence 0.825

286. a01012050.png ; $z | > 1$ ; confidence 0.823

287. e0357202.png ; $\operatorname { lim } _ { k \rightarrow \infty } | \alpha _ { k } | ^ { 1 / k } = 0$ ; confidence 0.823

288. p075560134.png ; $( P . Q ) ! = ( P \times Q ) ! = ( P ! \times Q ! ) !$ ; confidence 0.823

289. a13013056.png ; $A _ { 1 } ^ { ( 1 ) }$ ; confidence 0.822

290. b01667071.png ; $n _ { 1 } = 9$ ; confidence 0.822

291. m06309023.png ; $r _ { 0 } ^ { * } + \sum _ { j = 1 } ^ { q } \beta _ { j } r _ { j } ^ { * } = \sigma ^ { 2 }$ ; confidence 0.822

292. m11013041.png ; $\beta + \gamma \simeq \alpha . S ( t )$ ; confidence 0.822

293. s13004069.png ; $X ^ { * } = \Gamma \backslash D ^ { * }$ ; confidence 0.822

294. g04358023.png ; $f _ { \zeta } ( \lambda )$ ; confidence 0.821

295. l0591406.png ; $T _ { x _ { 1 } } ( M ) \rightarrow T _ { x _ { 0 } } ( M )$ ; confidence 0.821

296. r08205056.png ; $\partial \overline { R } _ { \nu }$ ; confidence 0.821

297. b01511035.png ; $U ( y ) = \int _ { \Gamma } f ( x ) d \beta _ { Y } ( x )$ ; confidence 0.820

298. b0169909.png ; $\Omega _ { M } ( \rho ) \in V _ { M } ^ { V ^ { n } }$ ; confidence 0.820

299. c02162091.png ; $c _ { q } ( \xi ) = \kappa ( \eta ^ { q } )$ ; confidence 0.820

300. d130060103.png ; $Z \in X$ ; confidence 0.820

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/6. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/6&oldid=43824