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(AUTOMATIC EDIT of page 5 out of 13 with 300 lines: Updated image/latex database (currently 3630 images latexified; order by Confidence, ascending: False.)
(AUTOMATIC EDIT of page 5 out of 14 with 300 lines: Updated image/latex database (currently 4097 images latexified; order by Confidence, ascending: False.)
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== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110190/b11019030.png ; $( x ^ { * } y ) ^ { * } z = ( x ^ { * } z ) ^ { * } ( y ^ { * } z )$ ; confidence 0.974
+
1. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010117.png ; $A x = b$ ; confidence 0.981
  
2. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130050/c13005021.png ; $\Gamma$ ; confidence 0.974
+
2. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130060/b13006022.png ; $\| A \| _ { \infty }$ ; confidence 0.981
  
3. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021650/c02165039.png ; $E X ^ { 2 n } < \infty$ ; confidence 0.974
+
3. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539011.png ; $\delta = \delta ( x )$ ; confidence 0.981
  
4. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024520/c02452065.png ; $x _ { 0 } \in V ^ { n }$ ; confidence 0.974
+
4. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017350/b01735065.png ; $K$ ; confidence 0.981
  
5. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110080/e11008048.png ; $B \circ F$ ; confidence 0.974
+
5. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120440/b120440103.png ; $R [ H \times H$ ; confidence 0.981
  
6. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110130/e11013060.png ; $p _ { x } ^ { * } = \lambda \operatorname { exp } ( - \lambda x )$ ; confidence 0.974
+
6. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026040/c02604027.png ; $P Q$ ; confidence 0.981
  
7. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036840/e03684024.png ; $C _ { n } = C _ { 1 } + \frac { 1 } { 4 } C _ { 1 } + \ldots + \frac { 1 } { 4 ^ { n - 1 } } C _ { 1 }$ ; confidence 0.974
+
7. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031890/d03189028.png ; $\Delta \rightarrow 0$ ; confidence 0.981
  
8. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045040/g0450402.png ; $f _ { 12 }$ ; confidence 0.974
+
8. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033210/d03321058.png ; $R _ { 2 } : x ^ { \prime } \Sigma ^ { - 1 } ( \mu ^ { ( 1 ) } - \mu ^ { ( 2 ) } ) +$ ; confidence 0.981
  
9. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081460/r08146017.png ; $g \mapsto ( \operatorname { det } g ) ^ { k } R ( g )$ ; confidence 0.974
+
9. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033930/d0339309.png ; $p _ { 1 } / p _ { 2 }$ ; confidence 0.981
  
10. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001076.png ; $r = A ( x + \delta x ) - b = A \delta x$ ; confidence 0.974
+
10. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120280/d120280152.png ; $A ( D ) ^ { * } \simeq A / B$ ; confidence 0.981
  
11. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001097.png ; $( A + \delta A ) x = b + \delta b$ ; confidence 0.973
+
11. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036620/e03662025.png ; $Q _ { n - j } ( z ) \equiv 0$ ; confidence 0.981
  
12. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001050.png ; $\epsilon \| A$ ; confidence 0.973
+
12. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f12015012.png ; $\beta ( A ) : = \operatorname { codim } R ( A ) < \infty$ ; confidence 0.981
  
13. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013074.png ; $T$ ; confidence 0.973
+
13. 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
  
14. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017550/b0175508.png ; $t _ { 1 } + t$ ; confidence 0.973
+
14. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048250/h04825025.png ; $O A M$ ; confidence 0.981
  
15. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021130/c02113024.png ; $\partial I ^ { p }$ ; confidence 0.973
+
15. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051770/i05177061.png ; $\psi = \sum \psi _ { i } \partial / \partial x _ { i }$ ; confidence 0.981
  
16. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130060/e13006023.png ; $z \in Z$ ; confidence 0.973
+
16. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051950/i051950193.png ; $\{ \psi _ { i } ( x ) \} _ { i = 0 } ^ { n }$ ; confidence 0.981
  
17. https://www.encyclopediaofmath.org/legacyimages/g/g110/g110260/g1102602.png ; $B M$ ; confidence 0.973
+
17. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120060/l12006027.png ; $\phi \in H$ ; confidence 0.981
  
18. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h04642087.png ; $L _ { \infty } ( \hat { G } )$ ; confidence 0.973
+
18. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063240/m063240428.png ; $S _ { 1 } \times S _ { 2 }$ ; confidence 0.981
  
19. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j120020240.png ; $B M O$ ; confidence 0.973
+
19. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065440/m06544030.png ; $E = \{ e \}$ ; confidence 0.981
  
20. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055480/k05548012.png ; $\partial / \partial x ^ { \alpha } \rightarrow ( \partial / \partial x ^ { \alpha } ) - i e A _ { \alpha } / \hbar$ ; confidence 0.973
+
20. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081550/r08155085.png ; $\psi d z$ ; confidence 0.981
  
21. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062690/m06269073.png ; $k \frac { \partial u } { \partial n } + h u | _ { S } = v ( x )$ ; confidence 0.973
+
21. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092980/t09298063.png ; $f \in S ( R ^ { n } )$ ; confidence 0.981
  
22. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064990/m06499028.png ; $\sum _ { j = 0 } ^ { i } ( - 1 ) ^ { j } m _ { i - j } \geq \sum _ { j = 0 } ^ { i } ( - 1 ) ^ { j } b _ { i - j }$ ; confidence 0.973
+
22. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018012.png ; $z - b | > R$ ; confidence 0.981
  
23. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075450/p07545043.png ; $U _ { i j } = \operatorname { Spec } ( A _ { i j } )$ ; confidence 0.973
+
23. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042075.png ; $\varphi , \psi : A \rightarrow B$ ; confidence 0.980
  
24. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086330/s08633098.png ; $A \Phi \subset \Phi$ ; confidence 0.973
+
24. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018030.png ; $\lambda _ { n } = \operatorname { ln } n$ ; confidence 0.980
  
25. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087130/s08713053.png ; $m < \infty$ ; confidence 0.973
+
25. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010214.png ; $x ^ { i }$ ; confidence 0.980
  
26. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539061.png ; $\rho ( \pi , \delta _ { \epsilon } ^ { * } ) \leq \operatorname { inf } _ { \delta } \rho ( \pi , \delta ) + \epsilon$ ; confidence 0.972
+
26. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240443.png ; $H _ { j } : X _ { 3 } \beta _ { j } = 0$ ; confidence 0.980
  
27. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539035.png ; $p ( x ) = \int _ { \Theta } p ( x | \theta ) \pi ( \theta ) d \nu ( \theta )$ ; confidence 0.972
+
27. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024015.png ; $n > m$ ; confidence 0.980
  
28. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016900/b0169001.png ; $d s ^ { 2 } = \frac { d u ^ { 2 } + d v ^ { 2 } } { ( U + V ) ^ { 2 } }$ ; confidence 0.972
+
28. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240220.png ; $n \times n$ ; confidence 0.980
  
29. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016960/b016960126.png ; $\omega _ { i } = 1$ ; confidence 0.972
+
29. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120160/c12016016.png ; $j = 1 : n$ ; confidence 0.980
  
30. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120200/c12020014.png ; $W ^ { m + 1 }$ ; confidence 0.972
+
30. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022930/c0229306.png ; $\{ x _ { n } > 0 \}$ ; confidence 0.980
  
31. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038390/f038390152.png ; $\alpha ^ { \lambda } = 1$ ; confidence 0.972
+
31. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023380/c023380197.png ; $F \subset U$ ; confidence 0.980
  
32. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120190/f12019028.png ; $C _ { G } ( n ) \leq N$ ; confidence 0.972
+
32. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120020/d120020174.png ; $( US )$ ; confidence 0.980
  
33. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f120230136.png ; $J : T M \rightarrow T M$ ; confidence 0.972
+
33. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030870/d03087020.png ; $C ^ { \infty } ( G )$ ; confidence 0.980
  
34. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041890/f0418904.png ; $D = \{ z \in C : | z | < 1 \}$ ; confidence 0.972
+
34. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032010/d03201064.png ; $( x - x _ { 0 } ) / ( t - t _ { 0 } ) = u _ { 0 }$ ; confidence 0.980
  
35. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047930/h047930317.png ; $S X \rightarrow S X$ ; confidence 0.972
+
35. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048200/h0482005.png ; $Z = 1$ ; confidence 0.980
  
36. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j13004075.png ; $( n _ { + } - n _ { - } ) - ( s ( D _ { L } ) - 1 ) \leq e \leq E \leq ( n _ { + } - n _ { - } ) + ( s ( D _ { L } ) - 1 )$ ; confidence 0.972
+
36. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048310/h0483101.png ; $\frac { \partial w } { \partial t } = A \frac { \partial w } { \partial x }$ ; confidence 0.980
  
37. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110190/k11019034.png ; $\mu _ { n } ( P \| Q ) =$ ; confidence 0.972
+
37. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058360/l05836089.png ; $S ^ { i j } = \Omega ^ { i j } + T ^ { i j }$ ; confidence 0.980
  
38. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060600/l06060030.png ; $\pi < \operatorname { arg } z \leq \pi$ ; confidence 0.972
+
38. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062620/m06262012.png ; $b \in R ^ { l - 1 }$ ; confidence 0.980
  
39. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058310/l05831065.png ; $F _ { n } ( - \infty ) \rightarrow F ( - \infty )$ ; confidence 0.972
+
39. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075660/p075660207.png ; $\kappa : \Omega \rightarrow \Omega _ { 1 }$ ; confidence 0.980
  
40. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065560/m06556075.png ; $\frac { | z | ^ { p } } { ( 1 + | z | ) ^ { 2 p } } \leq | f ( z ) | \leq \frac { | z | ^ { p } } { ( 1 - | z | ) ^ { 2 p } }$ ; confidence 0.972
+
40. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130130/r13013019.png ; $P _ { \sigma } ^ { 2 } = P _ { \sigma }$ ; confidence 0.980
  
41. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072980/p07298015.png ; $\beta \in L _ { q }$ ; confidence 0.972
+
41. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086550/s0865507.png ; $B _ { N } A ( B _ { N } ( \lambda - \lambda _ { 0 } ) )$ ; confidence 0.980
  
42. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073460/p07346048.png ; $W = M + U$ ; confidence 0.972
+
42. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090190/s090190160.png ; $X ( t _ { 1 } ) = x$ ; confidence 0.980
  
43. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080940/r08094028.png ; $\{ \alpha _ { n } ^ { ( e ) } \}$ ; confidence 0.972
+
43. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120320/s12032058.png ; $S ( L )$ ; confidence 0.980
  
44. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018065.png ; $1 + m x / 2 + m ( m - 1 ) x ^ { 2 } / ( 2.1 ) +$ ; confidence 0.972
+
44. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150728.png ; $A ^ { * } = A \cup \{ \infty _ { A } \}$ ; confidence 0.980
  
45. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001014.png ; $\operatorname { det } ( A ) \neq 0$ ; confidence 0.972
+
45. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097150/w0971508.png ; $\lambda = 2 \pi / | k |$ ; confidence 0.980
  
46. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240439.png ; $( N ) \leq 1$ ; confidence 0.971
+
46. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097470/w09747012.png ; $x ( t _ { i } ) = x _ { 0 } ( t _ { i } )$ ; confidence 0.980
  
47. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a1301302.png ; $\frac { \partial } { \partial t } P _ { 1 } - \frac { \partial } { \partial x } Q _ { 2 } + [ P _ { 1 } , Q _ { 2 } ] = 0$ ; confidence 0.971
+
47. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012014.png ; $( h \neq 0 )$ ; confidence 0.980
  
48. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010105.png ; $\Delta A = \epsilon | A$ ; confidence 0.971
+
48. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022022.png ; $\| w _ { p } \| = \sqrt { \sum _ { k = 1 } ^ { p } | \omega _ { k p } | ^ { 2 } } < \epsilon$ ; confidence 0.980
  
49. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a130130100.png ; $A K N S$ ; confidence 0.971
+
49. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018036.png ; $\sigma _ { 1 } = \operatorname { Re } s _ { 1 }$ ; confidence 0.980
  
50. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110690/b11069063.png ; $P T ( C ) \in G$ ; confidence 0.971
+
50. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310113.png ; $M ( C ( S ) , \alpha _ { 2 } , G _ { 2 } )$ ; confidence 0.980
  
51. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020920/c02092013.png ; $\Omega _ { 0 } \times \{ x _ { 0 }$ ; confidence 0.971
+
51. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010146.png ; $( A )$ ; confidence 0.979
  
52. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041880/f04188062.png ; $V _ { 0 } ( z )$ ; confidence 0.971
+
52. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002022.png ; $F _ { 0 } = f$ ; confidence 0.979
  
53. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047380/h047380203.png ; $\nu \in A$ ; confidence 0.971
+
53. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539015.png ; $\pi = \pi ( d \theta )$ ; confidence 0.979
  
54. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047940/h047940245.png ; $\Delta _ { q }$ ; confidence 0.971
+
54. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016160/b01616036.png ; $0 < c < 1$ ; confidence 0.979
  
55. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650350.png ; $i _ { \alpha } ( D ) \in K ( Y )$ ; confidence 0.971
+
55. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033790/d03379012.png ; $D \backslash K$ ; confidence 0.979
  
56. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051410/i05141058.png ; $0 < \alpha < a$ ; confidence 0.971
+
56. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g043810238.png ; $x u = 0$ ; confidence 0.979
  
57. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051430/i05143036.png ; $\{ \alpha _ { i } ( x ) \}$ ; confidence 0.971
+
57. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058660/l05866027.png ; $G \subset N ( F )$ ; confidence 0.979
  
58. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064000/m0640004.png ; $\epsilon > 0$ ; confidence 0.971
+
58. https://www.encyclopediaofmath.org/legacyimages/l/l061/l061160/l06116099.png ; $V _ { 0 } \subset E$ ; confidence 0.979
  
59. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120230/m12023042.png ; $( ( \partial f ) ^ { - 1 } + t l ) ^ { - 1 }$ ; confidence 0.971
+
59. https://www.encyclopediaofmath.org/legacyimages/n/n110/n110010/n11001011.png ; $L _ { \infty } ( T )$ ; confidence 0.979
  
60. https://www.encyclopediaofmath.org/legacyimages/n/n110/n110010/n1100102.png ; $f \in L _ { \infty } ( T )$ ; confidence 0.971
+
60. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067280/n06728084.png ; $y ^ { \prime \prime \prime } = \lambda y$ ; confidence 0.979
  
61. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076830/q07683018.png ; $Q _ { 0 } ^ { 0 } = Q ^ { 0 }$ ; confidence 0.971
+
61. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074860/p07486040.png ; $0 \leq s _ { 0 } \leq l$ ; confidence 0.979
  
62. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090190/s09019043.png ; $t = Z$ ; confidence 0.971
+
62. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080640/r08064034.png ; $y _ { t } = A x _ { t } + \epsilon _ { t }$ ; confidence 0.979
  
63. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042060.png ; $K _ { 1 }$ ; confidence 0.970
+
63. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082200/r082200143.png ; $V ^ { \prime } \subset R ^ { \prime }$ ; confidence 0.979
  
64. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028017.png ; $l ( D ) \geq \chi ( G ) - 1$ ; confidence 0.970
+
64. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087260/s08726044.png ; $\eta _ { 0 } ( i )$ ; confidence 0.979
  
65. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009082.png ; $L ( r ) = \int _ { 0 } ^ { 2 \pi } | z f ^ { \prime } ( z ) | d \theta = O ( \operatorname { log } \frac { 1 } { 1 - r } )$ ; confidence 0.970
+
65. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090760/s09076071.png ; $l [ f ] = 0$ ; confidence 0.979
  
66. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020088.png ; $\Delta _ { - } = - \Delta _ { + }$ ; confidence 0.970
+
66. https://www.encyclopediaofmath.org/legacyimages/t/t130/t130100/t1301005.png ; $\square _ { H } T$ ; confidence 0.979
  
67. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021760/c0217608.png ; $p ( x ) = \frac { 1 } { ( 2 \pi ) ^ { 3 / 2 } \sigma ^ { 2 } } \operatorname { exp } \{ - \frac { 1 } { 2 \sigma ^ { 2 } } ( x _ { 1 } ^ { 2 } + x _ { 2 } ^ { 2 } + x _ { 3 } ^ { 2 } ) \}$ ; confidence 0.970
+
67. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040202.png ; $\varphi _ { L } ( A )$ ; confidence 0.979
  
68. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023050/c023050103.png ; $\operatorname { cd } _ { p } ( X ) \leq \operatorname { cohcd } ( X ) + 1$ ; confidence 0.970
+
68. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240520.png ; $\Sigma _ { 33 } ^ { - 1 } \Sigma _ { 32 }$ ; confidence 0.979
  
69. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025350/c025350101.png ; $E _ { 1 } \rightarrow E _ { 1 }$ ; confidence 0.970
+
69. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210121.png ; $\Omega ( a )$ ; confidence 0.979
  
70. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110090/d11009089.png ; $D \subseteq g H g ^ { - 1 }$ ; confidence 0.970
+
70. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210133.png ; $g = 1$ ; confidence 0.978
  
71. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035320/e0353202.png ; $\tau _ { i + 1 } - \tau _ { i }$ ; confidence 0.970
+
71. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001048.png ; $( S , g )$ ; confidence 0.978
  
72. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041940/f041940314.png ; $L _ { p } ( X )$ ; confidence 0.970
+
72. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004098.png ; $\theta = [ \Theta$ ; confidence 0.978
  
73. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072760/p0727608.png ; $f ( x ) \mapsto \hat { f } ( y )$ ; confidence 0.970
+
73. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042078.png ; $4$ ; confidence 0.978
  
74. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073700/p073700202.png ; $d ( s ) = \operatorname { sup } \{ n : s \in F _ { n } \}$ ; confidence 0.970
+
74. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042072.png ; $\alpha ( \Sigma ( A ) ) \subseteq \Sigma ( B )$ ; confidence 0.978
  
75. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076430/q076430127.png ; $f : R _ { + } ^ { n } \rightarrow R _ { + } ^ { n }$ ; confidence 0.970
+
75. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a1201008.png ; $y ( 0 ) = x$ ; confidence 0.978
  
76. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077130/r077130114.png ; $\phi < \beta < L < K < J < T < \tau < F$ ; confidence 0.970
+
76. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a11068076.png ; $\alpha \geq b$ ; confidence 0.978
  
77. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083000/s08300055.png ; $D _ { n } D _ { n } \theta = \theta$ ; confidence 0.970
+
77. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120040/b12004080.png ; $T : L _ { \infty } \rightarrow L _ { \infty }$ ; confidence 0.978
  
78. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120180/s12018056.png ; $M = M ^ { \perp \perp }$ ; confidence 0.970
+
78. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539038.png ; $\delta ^ { * } ( x )$ ; confidence 0.978
  
79. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087640/s08764057.png ; $I \subset O ( X )$ ; confidence 0.970
+
79. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023150/c023150259.png ; $\beta \circ \beta = 0$ ; confidence 0.978
  
80. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097670/w097670153.png ; $\oplus V _ { k } ( M ) / V _ { k - 1 } ( M )$ ; confidence 0.970
+
80. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025470/c02547031.png ; $\alpha \wedge ( d \alpha ) ^ { s } ( x ) \neq 0$ ; confidence 0.978
  
81. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097710/w0977109.png ; $N _ { G } ( T )$ ; confidence 0.970
+
81. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030870/d03087032.png ; $\pi ( \chi )$ ; confidence 0.978
  
82. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018014.png ; $z - b | < R$ ; confidence 0.970
+
82. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045000/g04500031.png ; $( n \operatorname { ln } n ) / 2$ ; confidence 0.978
  
83. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240156.png ; $c ^ { \prime }$ ; confidence 0.970
+
83. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048300/h04830032.png ; $P _ { m } ( \xi + \tau N )$ ; confidence 0.978
  
84. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240478.png ; $0$ ; confidence 0.969
+
84. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063080/m06308045.png ; $f ^ { ( m ) } ( x _ { 0 } ) < 0$ ; confidence 0.978
  
85. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023380/c02338039.png ; $f \in L _ { 1 } ( G )$ ; confidence 0.969
+
85. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063350/m0633503.png ; $\int _ { - 1 } ^ { 1 } \frac { 1 } { \sqrt { 1 - x ^ { 2 } } } f ( x ) d x \approx \frac { \pi } { N } \sum _ { k = 1 } ^ { N } f ( \operatorname { cos } \frac { 2 k - 1 } { 2 N } \pi )$ ; confidence 0.978
  
86. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026230/c02623013.png ; $\int _ { - \pi } ^ { \pi } d \mu ( \theta ) = 1$ ; confidence 0.969
+
86. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075400/p07540018.png ; $F \subset G$ ; confidence 0.978
  
87. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i13009026.png ; $\mu _ { m }$ ; confidence 0.969
+
87. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004056.png ; $\overline { D } = \overline { D } _ { S }$ ; confidence 0.978
  
88. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080020/r08002019.png ; $\operatorname { dim } A = n = q - s$ ; confidence 0.969
+
88. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083470/s08347010.png ; $D ^ { - 1 } \in \pi$ ; confidence 0.978
  
89. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240350.png ; $( n - r ) \times p$ ; confidence 0.969
+
89. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095410/u09541052.png ; $g ^ { p } = e$ ; confidence 0.978
  
90. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020053.png ; $\pi 1 , \pi 2$ ; confidence 0.968
+
90. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018059.png ; $\sigma _ { k } - 1 < \beta < \sigma _ { k } < \ldots < \sigma _ { 1 }$ ; confidence 0.978
  
91. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001059.png ; $\delta x$ ; confidence 0.968
+
91. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240140.png ; $\psi = c ^ { \prime } \beta$ ; confidence 0.978
  
92. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240110.png ; $x$ ; confidence 0.968
+
92. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010155.png ; $x + \delta x = ( A + \delta A ) ^ { + } ( b + \delta b )$ ; confidence 0.977
  
93. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012410/a012410135.png ; $f ( S )$ ; confidence 0.968
+
93. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120020/a12002021.png ; $F : X \times I \rightarrow Z$ ; confidence 0.977
  
94. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013170/a01317026.png ; $y _ { t } = t - S _ { \eta _ { t } }$ ; confidence 0.968
+
94. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420149.png ; $K _ { 0 } ( \varphi ) : K _ { 0 } ( A ) \rightarrow K _ { 0 } ( B )$ ; confidence 0.977
  
95. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006091.png ; $m _ { B } ( A ) = 0$ ; confidence 0.968
+
95. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120160/a12016079.png ; $1 / ( 1 - \lambda )$ ; confidence 0.977
  
96. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g04381012.png ; $\overline { O } _ { k }$ ; confidence 0.968
+
96. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164040.png ; $q ( V )$ ; confidence 0.977
  
97. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g1300606.png ; $p _ { n } ( z ) : = \operatorname { det } \{ z I - A \}$ ; confidence 0.968
+
97. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a110680125.png ; $p / p$ ; confidence 0.977
  
98. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044660/g04466023.png ; $A _ { 0 } = \mathfrak { A } _ { 0 }$ ; confidence 0.968
+
98. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110680/a11068053.png ; $r ^ { \prime } < r$ ; confidence 0.977
  
99. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051930/i051930154.png ; $\{ f _ { \alpha } : \alpha \in \mathfrak { A } \}$ ; confidence 0.968
+
99. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120030/k12003040.png ; $E = \emptyset$ ; confidence 0.977
  
100. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n06663069.png ; $\Delta _ { k } ^ { k } f ^ { ( s ) }$ ; confidence 0.968
+
100. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059350/l059350101.png ; $X ( t ) = \operatorname { exp } ( \int _ { t _ { 0 } } ^ { t } A ( \tau ) d \tau )$ ; confidence 0.977
  
101. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096020/v096020108.png ; $\lambda \leq 0.5$ ; confidence 0.968
+
101. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062590/m06259044.png ; $V _ { [ r ] }$ ; confidence 0.977
  
102. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120050/w12005029.png ; $D = R [ x ] / D$ ; confidence 0.968
+
102. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062620/m062620207.png ; $R _ { + } ^ { l }$ ; confidence 0.977
  
103. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010165.png ; $( A ) = m < n$ ; confidence 0.967
+
103. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120040/s12004026.png ; $x ^ { T } = x _ { 1 } ^ { 3 } x _ { 2 } x _ { 3 } ^ { 2 } x _ { 4 }$ ; confidence 0.977
  
104. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a12031049.png ; $B ( K )$ ; confidence 0.967
+
104. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092530/t09253011.png ; $( \pi | \tau _ { 1 } | \tau _ { 2 } )$ ; confidence 0.977
  
105. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001022.png ; $n \geq 1$ ; confidence 0.967
+
105. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095210/u0952109.png ; $f _ { \alpha } ( x ) \geq - c$ ; confidence 0.977
  
106. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042087.png ; $x _ { i } \leq z \leq y _ { j }$ ; confidence 0.967
+
106. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900122.png ; $Q = U U ^ { * }$ ; confidence 0.977
  
107. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002020.png ; $D _ { 2 }$ ; confidence 0.967
+
107. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097510/w097510202.png ; $q \in T _ { n } ( k )$ ; confidence 0.977
  
108. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050230.png ; $A ^ { \# }$ ; confidence 0.967
+
108. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130130/z1301303.png ; $x _ { 2 } = r \operatorname { sin } \theta$ ; confidence 0.977
  
109. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110250/b11025093.png ; $L ( t )$ ; confidence 0.967
+
109. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539053.png ; $\rho ( \pi , \delta ) = \int _ { X } [ \pi _ { 1 } p ( x | \theta _ { 1 } ) L ( \theta _ { 1 } , \delta ( x ) ) +$ ; confidence 0.977
  
110. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024780/c02478054.png ; $f ^ { \prime } ( z _ { 0 } )$ ; confidence 0.967
+
110. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018052.png ; $\beta > 0$ ; confidence 0.976
  
111. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032010/d03201062.png ; $\partial x / u = \partial t / 1$ ; confidence 0.967
+
111. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040213.png ; $\varphi _ { L } : A \rightarrow K _ { A } \subset P ^ { 3 }$ ; confidence 0.976
  
112. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055180/k05518015.png ; $z ^ { 2 } y ^ { \prime \prime } + z y ^ { \prime } - ( i z ^ { 2 } + \nu ^ { 2 } ) y = 0$ ; confidence 0.967
+
112. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004070.png ; $d _ { 1 } = 2$ ; confidence 0.976
  
113. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057780/l05778086.png ; $4.60$ ; confidence 0.967
+
113. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013051.png ; $F _ { j k } = \frac { \partial } { \partial t _ { j } } \frac { \partial } { \partial t _ { k } } \operatorname { log } ( \tau )$ ; confidence 0.976
  
114. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058240/l0582408.png ; $\operatorname { grad } \phi ( \zeta ) \neq 0$ ; confidence 0.967
+
114. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110410/c11041079.png ; $A ^ { * } B$ ; confidence 0.976
  
115. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059340/l059340213.png ; $A -$ ; confidence 0.967
+
115. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130090/d13009024.png ; $1 \leq u \leq 2$ ; confidence 0.976
  
116. https://www.encyclopediaofmath.org/legacyimages/o/o110/o110070/o11007062.png ; $K$ ; confidence 0.967
+
116. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032110/d03211024.png ; $z = \phi _ { i }$ ; confidence 0.976
  
117. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081400/r08140012.png ; $s < s ^ { \prime }$ ; confidence 0.967
+
117. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130040/f13004017.png ; $d _ { k } = \operatorname { det } ( 1 - f _ { t } ^ { \prime } ( x _ { k } ) ) ^ { 1 / 2 }$ ; confidence 0.976
  
118. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240170.png ; $\gamma _ { i } = 0$ ; confidence 0.966
+
118. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040230/f040230157.png ; $\Delta ^ { n } f ( x )$ ; confidence 0.976
  
119. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110560/b11056013.png ; $w _ { 2 } ( F )$ ; confidence 0.966
+
119. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g045090287.png ; $G _ { A B } ^ { ( n ) } ( E )$ ; confidence 0.976
  
120. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044470/g04447072.png ; $q ^ { \prime } \in A ^ { \prime }$ ; confidence 0.966
+
120. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110080/i11008077.png ; $T f _ { n } \rightarrow 0$ ; confidence 0.976
  
121. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047860/h047860136.png ; $n = r \neq 0$ ; confidence 0.966
+
121. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110060/l1100603.png ; $x ^ { ( 0 ) } = 1$ ; confidence 0.976
  
122. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055940/k05594016.png ; $\frac { d \xi } { d t } = \epsilon X _ { 0 } ( \xi ) + \epsilon ^ { 2 } P _ { 2 } ( \xi ) + \ldots + \epsilon ^ { m } P _ { m } ( \xi )$ ; confidence 0.966
+
122. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059340/l059340144.png ; $C _ { 0 } ( R )$ ; confidence 0.976
  
123. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062160/m06216027.png ; $p < q$ ; confidence 0.966
+
123. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067640/n06764043.png ; $\Omega _ { X }$ ; confidence 0.976
  
124. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m13026036.png ; $x \lambda ( y ) = \rho ( x ) y$ ; confidence 0.966
+
124. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110120/p110120376.png ; $E _ { i } ( x )$ ; confidence 0.976
  
125. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070240/o07024025.png ; $- \beta V$ ; confidence 0.966
+
125. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087820/s087820210.png ; $y _ { n + 1 } = y _ { n } + \int _ { 0 } ^ { H / 2 } e ^ { A \tau } d \tau \times$ ; confidence 0.976
  
126. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077130/r07713084.png ; $r _ { 1 } > r _ { 2 }$ ; confidence 0.966
+
126. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093900/t093900146.png ; $Q _ { n } W ^ { k } = P _ { n } c ( W ^ { k } + \Phi _ { 0 } ^ { k } - \phi _ { 0 } ^ { k } )$ ; confidence 0.976
  
127. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s13051063.png ; $\Gamma = \Gamma _ { 1 } + \ldots + \Gamma _ { m }$ ; confidence 0.966
+
127. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094420/t09442025.png ; $\overline { U } / \partial \overline { U }$ ; confidence 0.976
  
128. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086960/s08696030.png ; $\| x _ { 0 } \| \leq \delta$ ; confidence 0.966
+
128. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095070/u09507044.png ; $T ( X ) = \left\{ \begin{array} { l l } { 1 } & { \text { if } X = 1 } \\ { 0 } & { \text { if } X \geq 2 } \end{array} \right.$ ; confidence 0.976
  
129. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097720/w0977202.png ; $f ( x ) = \alpha _ { n } x ^ { n } + \ldots + \alpha _ { 1 } x$ ; confidence 0.966
+
129. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097060/w09706017.png ; $2 ^ { m } \leq n \leq 2 ^ { m + 1 } - 1$ ; confidence 0.976
  
130. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010215.png ; $y ^ { i }$ ; confidence 0.965
+
130. https://www.encyclopediaofmath.org/legacyimages/y/y110/y110010/y11001021.png ; $J ( \phi )$ ; confidence 0.976
  
131. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130010/b13001099.png ; $\left( \begin{array} { l l } { A } & { B } \\ { C } & { D } \end{array} \right)$ ; confidence 0.965
+
131. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240186.png ; $b$ ; confidence 0.975
  
132. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016850/b01685022.png ; $N = \sum _ { i = 1 } ^ { M } N$ ; confidence 0.965
+
132. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310115.png ; $G$ ; confidence 0.975
  
133. 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
+
133. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240167.png ; $\sum \alpha _ { i } = 0$ ; confidence 0.975
  
134. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020187.png ; $\delta : G ^ { \prime } \rightarrow W$ ; confidence 0.965
+
134. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001039.png ; $k ( A ) = \operatorname { lim } _ { \epsilon \rightarrow 0 } \frac { 1 } { \epsilon } \frac { \| \delta x \| } { \| x \| }$ ; confidence 0.975
  
135. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m13025061.png ; $\int | \rho _ { \varepsilon } ( x ) | d x$ ; confidence 0.965
+
135. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110080/a11008019.png ; $\omega ^ { 2 } = c ^ { 2 } ( \xi ^ { 2 } + \eta ^ { 2 } )$ ; confidence 0.975
  
136. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085400/s085400446.png ; $X \rightarrow \Delta [ 0 ]$ ; confidence 0.965
+
136. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010120/a01012049.png ; $A _ { 1 } ^ { * }$ ; confidence 0.975
  
137. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021024.png ; $\pi$ ; confidence 0.965
+
137. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130190/c13019046.png ; $X = R ^ { n }$ ; confidence 0.975
  
138. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310133.png ; $A ^ { \infty } / M$ ; confidence 0.964
+
138. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043350/g04335037.png ; $+ \beta n ( 2 n + 1 ) y _ { n } = 0$ ; confidence 0.975
  
139. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012100/a01210023.png ; $| \alpha | = \sqrt { \overline { \alpha } \alpha }$ ; confidence 0.964
+
139. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044660/g04466018.png ; $A = \sum _ { i \geq 0 } A$ ; confidence 0.975
  
140. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024120/c02412065.png ; $J ( s ) = \operatorname { lim } J _ { N } ( s ) = 2 ( 2 \pi ) ^ { s - 1 } \zeta ( 1 - s ) \operatorname { sin } \frac { \pi s } { 2 }$ ; confidence 0.964
+
140. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062160/m062160173.png ; $E$ ; confidence 0.975
  
141. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026460/c02646017.png ; $i _ { k } = k - n [ k / n ] + 1$ ; confidence 0.964
+
141. https://www.encyclopediaofmath.org/legacyimages/q/q120/q120050/q12005015.png ; $D ^ { 2 } f ( x ^ { * } ) = D ( D ^ { T } f ( x ^ { * } ) )$ ; confidence 0.975
  
142. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062590/m06259061.png ; $\alpha = \beta _ { 1 } \vee \ldots \vee \beta _ { r }$ ; confidence 0.964
+
142. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091910/s09191051.png ; $\sim \frac { 2 ^ { n } } { \operatorname { log } _ { 2 } n }$ ; confidence 0.975
  
143. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082320/r08232050.png ; $\operatorname { lim } _ { r \rightarrow 1 } \int _ { E } | f ( r e ^ { i \theta } ) | ^ { \delta } d \theta = \int _ { E } | f ( e ^ { i \theta } ) | ^ { \delta } d \theta$ ; confidence 0.964
+
143. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010290.png ; $F ( A )$ ; confidence 0.975
  
144. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097040/w0970409.png ; $\int _ { 0 } ^ { \pi / 2 } \operatorname { sin } ^ { 2 m + 1 } x d x$ ; confidence 0.964
+
144. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021021.png ; $( \omega , \pi ) = \int \int _ { S } \omega ^ { * } \overline { \pi }$ ; confidence 0.974
  
145. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013000/a01300068.png ; $P _ { 0 } ( z )$ ; confidence 0.963
+
145. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001071.png ; $\tau _ { 1 } ^ { 2 } + \tau _ { 3 } ^ { 2 } + \tau _ { 3 } ^ { 2 } = 1$ ; confidence 0.974
  
146. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020280/c020280177.png ; $\underline { C } ( E ) = \operatorname { sup } C ( K )$ ; confidence 0.963
+
146. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013043.png ; $F _ { j k }$ ; confidence 0.974
  
147. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025720/c02572035.png ; $B \circ A$ ; confidence 0.963
+
147. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110190/b11019030.png ; $( x ^ { * } y ) ^ { * } z = ( x ^ { * } z ) ^ { * } ( y ^ { * } z )$ ; confidence 0.974
  
148. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026460/c02646046.png ; $\{ x _ { k } \}$ ; confidence 0.963
+
148. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130050/c13005021.png ; $\Gamma$ ; confidence 0.974
  
149. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038390/f038390108.png ; $q ( m ) = ( m ^ { p - 1 } - 1 ) / p$ ; confidence 0.963
+
149. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021650/c02165039.png ; $E X ^ { 2 n } < \infty$ ; confidence 0.974
  
150. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120020/h120020104.png ; $P _ { - } \phi \in B _ { p } ^ { 1 / p }$ ; confidence 0.963
+
150. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024520/c02452065.png ; $x _ { 0 } \in V ^ { n }$ ; confidence 0.974
  
151. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065140/m06514041.png ; $S _ { n }$ ; confidence 0.963
+
151. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110080/e11008048.png ; $B \circ F$ ; confidence 0.974
  
152. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091070/s09107089.png ; $P _ { \theta } ( A | B )$ ; confidence 0.963
+
152. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110130/e11013060.png ; $p _ { x } ^ { * } = \lambda \operatorname { exp } ( - \lambda x )$ ; confidence 0.974
  
153. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013028.png ; $\phi _ { - } ( x , t , z ) = \operatorname { exp } ( \sum _ { i = 1 } ^ { \infty } \chi _ { i } ( x , t ) z ^ { - i } )$ ; confidence 0.963
+
153. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036840/e03684024.png ; $C _ { n } = C _ { 1 } + \frac { 1 } { 4 } C _ { 1 } + \ldots + \frac { 1 } { 4 ^ { n - 1 } } C _ { 1 }$ ; confidence 0.974
  
154. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240529.png ; $R$ ; confidence 0.962
+
154. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045040/g0450402.png ; $f _ { 12 }$ ; confidence 0.974
  
155. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010278.png ; $X$ ; confidence 0.962
+
155. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081460/r08146017.png ; $g \mapsto ( \operatorname { det } g ) ^ { k } R ( g )$ ; confidence 0.974
  
156. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110660/b11066023.png ; $L _ { p } ( R )$ ; confidence 0.962
+
156. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001076.png ; $r = A ( x + \delta x ) - b = A \delta x$ ; confidence 0.974
  
157. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130040/c1300407.png ; $\operatorname { log } \Gamma ( z ) = \int _ { 1 } ^ { z } \psi ( t ) d t$ ; confidence 0.962
+
157. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001097.png ; $( A + \delta A ) x = b + \delta b$ ; confidence 0.973
  
158. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035550/e03555028.png ; $y ^ { 2 } = x ^ { 3 } - g x - g$ ; confidence 0.962
+
158. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001050.png ; $\epsilon \| A$ ; confidence 0.973
  
159. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040690/f04069072.png ; $\alpha _ { \alpha } ^ { * } ( f ) \Omega = f$ ; confidence 0.962
+
159. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010430/a01043012.png ; $\xi ^ { * } ( t )$ ; confidence 0.973
  
160. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059410/l05941048.png ; $Q _ { 3 } ( b )$ ; confidence 0.962
+
160. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013074.png ; $T$ ; confidence 0.973
  
161. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081390/r08139031.png ; $v _ { 2 } \in V _ { 2 }$ ; confidence 0.962
+
161. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017550/b0175508.png ; $t _ { 1 } + t$ ; confidence 0.973
  
162. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090830/s0908308.png ; $m : B \rightarrow A$ ; confidence 0.962
+
162. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021130/c02113024.png ; $\partial I ^ { p }$ ; confidence 0.973
  
163. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t120060116.png ; $E ^ { Q } ( N )$ ; confidence 0.962
+
163. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130060/e13006023.png ; $z \in Z$ ; confidence 0.973
  
164. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120150/t1201505.png ; $\eta \in A \mapsto \xi \eta \in A$ ; confidence 0.962
+
164. https://www.encyclopediaofmath.org/legacyimages/g/g110/g110260/g1102602.png ; $B M$ ; confidence 0.973
  
165. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240200.png ; $H : X _ { 3 } \beta = 0$ ; confidence 0.961
+
165. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h04642087.png ; $L _ { \infty } ( \hat { G } )$ ; confidence 0.973
  
166. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240261.png ; $\psi = \sum _ { i = 1 } ^ { q } d _ { i } \zeta _ { i }$ ; confidence 0.961
+
166. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j120020240.png ; $B M O$ ; confidence 0.973
  
167. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027620/c0276205.png ; $F \in L ^ { * }$ ; confidence 0.961
+
167. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055480/k05548012.png ; $\partial / \partial x ^ { \alpha } \rightarrow ( \partial / \partial x ^ { \alpha } ) - i e A _ { \alpha } / \hbar$ ; confidence 0.973
  
168. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120050/k1200504.png ; $B = \sum _ { j = 1 } ^ { t } b _ { j } B _ { j }$ ; confidence 0.961
+
168. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062690/m06269073.png ; $k \frac { \partial u } { \partial n } + h u | _ { S } = v ( x )$ ; confidence 0.973
  
169. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058140/l0581405.png ; $s = \int _ { a } ^ { b } \sqrt { 1 + [ f ^ { \prime } ( x ) ] ^ { 2 } } d x$ ; confidence 0.961
+
169. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064990/m06499028.png ; $\sum _ { j = 0 } ^ { i } ( - 1 ) ^ { j } m _ { i - j } \geq \sum _ { j = 0 } ^ { i } ( - 1 ) ^ { j } b _ { i - j }$ ; confidence 0.973
  
170. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064700/m0647004.png ; $\alpha = \gamma ( 0 )$ ; confidence 0.961
+
170. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075450/p07545043.png ; $U _ { i j } = \operatorname { Spec } ( A _ { i j } )$ ; confidence 0.973
  
171. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240105.png ; $y$ ; confidence 0.961
+
171. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086330/s08633098.png ; $A \Phi \subset \Phi$ ; confidence 0.973
  
172. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021010.png ; $\omega = p d z = p ( z ) d z$ ; confidence 0.960
+
172. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087130/s08713053.png ; $m < \infty$ ; confidence 0.973
  
173. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026830/c02683020.png ; $\sum _ { 2 } = \sum _ { \nu \in \langle \nu \rangle } U _ { 2 } ( n - D \nu )$ ; confidence 0.960
+
173. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006016.png ; $\omega \mapsto ( \omega , \omega )$ ; confidence 0.973
  
174. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230111.png ; $E ( L )$ ; confidence 0.960
+
174. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539061.png ; $\rho ( \pi , \delta _ { \epsilon } ^ { * } ) \leq \operatorname { inf } _ { \delta } \rho ( \pi , \delta ) + \epsilon$ ; confidence 0.972
  
175. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130090/h13009043.png ; $g _ { i } \in A$ ; confidence 0.960
+
175. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040223.png ; $K _ { A } = A / ( - 1 ) _ { A }$ ; confidence 0.972
  
176. https://www.encyclopediaofmath.org/legacyimages/x/x120/x120020/x12002033.png ; $D ( R )$ ; confidence 0.960
+
176. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539035.png ; $p ( x ) = \int _ { \Theta } p ( x | \theta ) \pi ( \theta ) d \nu ( \theta )$ ; confidence 0.972
  
177. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010161.png ; $k ^ { 2 } ( A )$ ; confidence 0.959
+
177. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016900/b0169001.png ; $d s ^ { 2 } = \frac { d u ^ { 2 } + d v ^ { 2 } } { ( U + V ) ^ { 2 } }$ ; confidence 0.972
  
178. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040052.png ; $\mathfrak { h } \subset \mathfrak { g }$ ; confidence 0.959
+
178. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016960/b016960126.png ; $\omega _ { i } = 1$ ; confidence 0.972
  
179. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130270/b1302706.png ; $Q ( H ) = B ( H ) / K ( H )$ ; confidence 0.959
+
179. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120200/c12020014.png ; $W ^ { m + 1 }$ ; confidence 0.972
  
180. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050730/i05073063.png ; $K \subset H$ ; confidence 0.959
+
180. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038390/f038390152.png ; $\alpha ^ { \lambda } = 1$ ; confidence 0.972
  
181. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051000/i05100028.png ; $- \infty < a < + \infty$ ; confidence 0.959
+
181. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120190/f12019028.png ; $C _ { G } ( n ) \leq N$ ; confidence 0.972
  
182. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010221.png ; $\delta A \leq \frac { 1 } { n } \operatorname { min } _ { k \neq i } \frac { | \lambda _ { i } - \lambda _ { k } | } { \| E _ { i } \| + \| E _ { k } \| }$ ; confidence 0.958
+
182. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f120230136.png ; $J : T M \rightarrow T M$ ; confidence 0.972
  
183. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001095.png ; $\operatorname { dim } ( S ) = 4 n + 3$ ; confidence 0.958
+
183. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041890/f0418904.png ; $D = \{ z \in C : | z | < 1 \}$ ; confidence 0.972
  
184. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240330.png ; $( p \times p _ { 1 } )$ ; confidence 0.958
+
184. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047930/h047930317.png ; $S X \rightarrow S X$ ; confidence 0.972
  
185. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011780/a01178066.png ; $p \in C$ ; confidence 0.958
+
185. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j13004075.png ; $( n _ { + } - n _ { - } ) - ( s ( D _ { L } ) - 1 ) \leq e \leq E \leq ( n _ { + } - n _ { - } ) + ( s ( D _ { L } ) - 1 )$ ; confidence 0.972
  
186. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031850/d031850109.png ; $( \frac { u } { v } ) ^ { \prime } = \frac { u ^ { \prime } v - u v ^ { \prime } } { v ^ { 2 } }$ ; confidence 0.958
+
186. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110190/k11019034.png ; $\mu _ { n } ( P \| Q ) =$ ; confidence 0.972
  
187. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023094.png ; $\sigma ^ { k } : M \rightarrow E ^ { k }$ ; confidence 0.958
+
187. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060600/l06060030.png ; $\pi < \operatorname { arg } z \leq \pi$ ; confidence 0.972
  
188. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062550/m06255050.png ; $0 \leq w \leq v$ ; confidence 0.958
+
188. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058310/l05831065.png ; $F _ { n } ( - \infty ) \rightarrow F ( - \infty )$ ; confidence 0.972
  
189. https://www.encyclopediaofmath.org/legacyimages/o/o110/o110030/o11003037.png ; $K _ { \omega }$ ; confidence 0.958
+
189. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065560/m06556075.png ; $\frac { | z | ^ { p } } { ( 1 + | z | ) ^ { 2 p } } \leq | f ( z ) | \leq \frac { | z | ^ { p } } { ( 1 - | z | ) ^ { 2 p } }$ ; confidence 0.972
  
190. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073270/p07327037.png ; $q ^ { ( n ) } = d ^ { n } q / d x ^ { n }$ ; confidence 0.958
+
190. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072980/p07298015.png ; $\beta \in L _ { q }$ ; confidence 0.972
  
191. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074160/p07416055.png ; $\rho = | y |$ ; confidence 0.958
+
191. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073460/p07346048.png ; $W = M + U$ ; confidence 0.972
  
192. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086810/s086810108.png ; $W _ { p } ^ { m } ( I ^ { d } )$ ; confidence 0.958
+
192. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080940/r08094028.png ; $\{ \alpha _ { n } ^ { ( e ) } \}$ ; confidence 0.972
  
193. https://www.encyclopediaofmath.org/legacyimages/x/x120/x120010/x12001022.png ; $\sigma \in \operatorname { Aut } ( R )$ ; confidence 0.958
+
193. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018065.png ; $1 + m x / 2 + m ( m - 1 ) x ^ { 2 } / ( 2.1 ) +$ ; confidence 0.972
  
194. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240365.png ; $( p \times p )$ ; confidence 0.958
+
194. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001014.png ; $\operatorname { det } ( A ) \neq 0$ ; confidence 0.972
  
195. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a01165079.png ; $H$ ; confidence 0.957
+
195. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022089.png ; $( p - 2 ) ( p - 3 ) / 2$ ; confidence 0.971
  
196. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020960/c02096032.png ; $y _ { n + 1 } = y _ { n } + \frac { h } { 2 } ( f _ { n + 1 } + f _ { n } )$ ; confidence 0.957
+
196. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240439.png ; $( N ) \leq 1$ ; confidence 0.971
  
197. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023110/c023110101.png ; $Z G$ ; confidence 0.957
+
197. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024092.png ; $g = 2$ ; confidence 0.971
  
198. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026250/c0262508.png ; $( f _ { 1 } + f _ { 2 } ) ( x ) = f _ { 1 } ( x ) + f _ { 2 } ( x )$ ; confidence 0.957
+
198. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a1301302.png ; $\frac { \partial } { \partial t } P _ { 1 } - \frac { \partial } { \partial x } Q _ { 2 } + [ P _ { 1 } , Q _ { 2 } ] = 0$ ; confidence 0.971
  
199. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033530/d033530372.png ; $d _ { n } \ll p _ { n } ^ { \theta }$ ; confidence 0.957
+
199. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010105.png ; $\Delta A = \epsilon | A$ ; confidence 0.971
  
200. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f1202105.png ; $| z | < r$ ; confidence 0.957
+
200. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a130130100.png ; $A K N S$ ; confidence 0.971
  
201. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110220/m11022016.png ; $\lambda ^ { * } \in R ^ { m }$ ; confidence 0.957
+
201. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110690/b11069063.png ; $P T ( C ) \in G$ ; confidence 0.971
  
202. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072430/p0724307.png ; $\epsilon \ll 1$ ; confidence 0.957
+
202. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020920/c02092013.png ; $\Omega _ { 0 } \times \{ x _ { 0 }$ ; confidence 0.971
  
203. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090760/s09076026.png ; $L _ { 0 } ^ { * } = L _ { 1 }$ ; confidence 0.957
+
203. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041880/f04188062.png ; $V _ { 0 } ( z )$ ; confidence 0.971
  
204. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130050/v130050114.png ; $1 _ { n } ( w ) = 0$ ; confidence 0.957
+
204. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047380/h047380203.png ; $\nu \in A$ ; confidence 0.971
  
205. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009092.png ; $f \in B ( m / n )$ ; confidence 0.956
+
205. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047940/h047940245.png ; $\Delta _ { q }$ ; confidence 0.971
  
206. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017800/b01780036.png ; $d \geq n$ ; confidence 0.956
+
206. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650350.png ; $i _ { \alpha } ( D ) \in K ( Y )$ ; confidence 0.971
  
207. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031850/d03185095.png ; $x \neq \pm 1$ ; confidence 0.956
+
207. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051410/i05141058.png ; $0 < \alpha < a$ ; confidence 0.971
  
208. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120130/f12013083.png ; $| \Phi ( G )$ ; confidence 0.956
+
208. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051430/i05143036.png ; $\{ \alpha _ { i } ( x ) \}$ ; confidence 0.971
  
209. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003048.png ; $I _ { U } = \{ ( u _ { \lambda } ) _ { \lambda \in \Lambda }$ ; confidence 0.956
+
209. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064000/m0640004.png ; $\epsilon > 0$ ; confidence 0.971
  
210. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048390/h04839015.png ; $U ^ { ( 2 ) }$ ; confidence 0.956
+
210. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120230/m12023042.png ; $( ( \partial f ) ^ { - 1 } + t l ) ^ { - 1 }$ ; confidence 0.971
  
211. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110020/l11002085.png ; $x \preceq y$ ; confidence 0.956
+
211. https://www.encyclopediaofmath.org/legacyimages/n/n110/n110010/n1100102.png ; $f \in L _ { \infty } ( T )$ ; confidence 0.971
  
212. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130100/r13010034.png ; $D _ { n }$ ; confidence 0.956
+
212. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076830/q07683018.png ; $Q _ { 0 } ^ { 0 } = Q ^ { 0 }$ ; confidence 0.971
  
213. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087110/s08711028.png ; $\delta < \alpha$ ; confidence 0.956
+
213. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090190/s09019043.png ; $t = Z$ ; confidence 0.971
  
214. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110210.png ; $G = G ^ { \sigma }$ ; confidence 0.956
+
214. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042060.png ; $K _ { 1 }$ ; confidence 0.970
  
215. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010297.png ; $F ( A ) = e ^ { A }$ ; confidence 0.956
+
215. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028017.png ; $l ( D ) \geq \chi ( G ) - 1$ ; confidence 0.970
  
216. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030790/d0307909.png ; $\lambda ^ { m }$ ; confidence 0.955
+
216. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009082.png ; $L ( r ) = \int _ { 0 } ^ { 2 \pi } | z f ^ { \prime } ( z ) | d \theta = O ( \operatorname { log } \frac { 1 } { 1 - r } )$ ; confidence 0.970
  
217. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038470/f03847048.png ; $\tau _ { 0 } = 0$ ; confidence 0.955
+
217. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020088.png ; $\Delta _ { - } = - \Delta _ { + }$ ; confidence 0.970
  
218. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044770/g04477022.png ; $[ \Psi / \Phi ] \Phi$ ; confidence 0.955
+
218. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021760/c0217608.png ; $p ( x ) = \frac { 1 } { ( 2 \pi ) ^ { 3 / 2 } \sigma ^ { 2 } } \operatorname { exp } \{ - \frac { 1 } { 2 \sigma ^ { 2 } } ( x _ { 1 } ^ { 2 } + x _ { 2 } ^ { 2 } + x _ { 3 } ^ { 2 } ) \}$ ; confidence 0.970
  
219. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h046420157.png ; $d g = d h d k$ ; confidence 0.955
+
219. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023050/c023050103.png ; $\operatorname { cd } _ { p } ( X ) \leq \operatorname { cohcd } ( X ) + 1$ ; confidence 0.970
  
220. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110020/i11002068.png ; $( \lambda \odot \mu ) \odot v = \lambda \odot ( \mu \odot v )$ ; confidence 0.955
+
220. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025350/c025350101.png ; $E _ { 1 } \rightarrow E _ { 1 }$ ; confidence 0.970
  
221. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q07631081.png ; $H _ { i } \in \mathfrak { g }$ ; confidence 0.955
+
221. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110090/d11009089.png ; $D \subseteq g H g ^ { - 1 }$ ; confidence 0.970
  
222. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010192.png ; $T ^ { - 1 } A T = \Lambda$ ; confidence 0.955
+
222. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035320/e0353202.png ; $\tau _ { i + 1 } - \tau _ { i }$ ; confidence 0.970
  
223. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018024.png ; $\sigma > \sigma 0$ ; confidence 0.954
+
223. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041940/f041940314.png ; $L _ { p } ( X )$ ; confidence 0.970
  
224. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110490/a1104901.png ; $D = d / d t$ ; confidence 0.954
+
224. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072760/p0727608.png ; $f ( x ) \mapsto \hat { f } ( y )$ ; confidence 0.970
  
225. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110200/c11020072.png ; $\lambda \in \Lambda$ ; confidence 0.954
+
225. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073700/p073700202.png ; $d ( s ) = \operatorname { sup } \{ n : s \in F _ { n } \}$ ; confidence 0.970
  
226. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032240/d03224071.png ; $d \omega = d \square ^ { * } \omega = 0$ ; confidence 0.954
+
226. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076430/q076430127.png ; $f : R _ { + } ^ { n } \rightarrow R _ { + } ^ { n }$ ; confidence 0.970
  
227. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e036960205.png ; $\nu - 1 / 2 \in Z$ ; confidence 0.954
+
227. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077130/r077130114.png ; $\phi < \beta < L < K < J < T < \tau < F$ ; confidence 0.970
  
228. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g04509046.png ; $y ( \alpha ) = 0$ ; confidence 0.954
+
228. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083000/s08300055.png ; $D _ { n } D _ { n } \theta = \theta$ ; confidence 0.970
  
229. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051620/i051620138.png ; $\Gamma = \partial D _ { 1 } \times \square \ldots \times \partial D _ { n }$ ; confidence 0.954
+
229. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120180/s12018056.png ; $M = M ^ { \perp \perp }$ ; confidence 0.970
  
230. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092730/t09273032.png ; $M = M _ { 1 } \# M _ { 2 }$ ; confidence 0.954
+
230. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087640/s08764057.png ; $I \subset O ( X )$ ; confidence 0.970
  
231. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095230/u09523081.png ; $\{ d f _ { n } / d x \}$ ; confidence 0.954
+
231. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097670/w097670153.png ; $\oplus V _ { k } ( M ) / V _ { k - 1 } ( M )$ ; confidence 0.970
  
232. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b120150110.png ; $d : N \cup \{ 0 \} \rightarrow R$ ; confidence 0.953
+
232. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097710/w0977109.png ; $N _ { G } ( T )$ ; confidence 0.970
  
233. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031280/d03128063.png ; $s ^ { \prime } : Y ^ { \prime } \rightarrow X ^ { \prime }$ ; confidence 0.953
+
233. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018014.png ; $z - b | < R$ ; confidence 0.970
  
234. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037080/e03708021.png ; $r > n$ ; confidence 0.953
+
234. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240156.png ; $c ^ { \prime }$ ; confidence 0.970
  
235. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047390/h047390181.png ; $V = V ^ { + } \oplus V ^ { - }$ ; confidence 0.953
+
235. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110060/a11006020.png ; $8$ ; confidence 0.970
  
236. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130070/i13007010.png ; $q ( x ) \in L ^ { 2 } \operatorname { loc } ( R ^ { 3 } )$ ; confidence 0.953
+
236. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240478.png ; $0$ ; confidence 0.969
  
237. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060220/l0602207.png ; $\in \Theta$ ; confidence 0.953
+
237. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023380/c02338039.png ; $f \in L _ { 1 } ( G )$ ; confidence 0.969
  
238. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120190/l12019039.png ; $x = - \sum _ { k = 0 } ^ { \infty } ( A ^ { * } ) ^ { k } C ( A ) ^ { k }$ ; confidence 0.953
+
238. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026230/c02623013.png ; $\int _ { - \pi } ^ { \pi } d \mu ( \theta ) = 1$ ; confidence 0.969
  
239. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093900/t093900154.png ; $g _ { k } = ( 1 + y _ { k } ) / 2$ ; confidence 0.953
+
239. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i13009026.png ; $\mu _ { m }$ ; confidence 0.969
  
240. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010151.png ; $k ( A ) = \| A \| _ { 2 } \| A ^ { + } \| _ { 2 }$ ; confidence 0.953
+
240. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080020/r08002019.png ; $\operatorname { dim } A = n = q - s$ ; confidence 0.969
  
241. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240135.png ; $A$ ; confidence 0.952
+
241. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240350.png ; $( n - r ) \times p$ ; confidence 0.969
  
242. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010282.png ; $A _ { i } \in R ^ { n \times n }$ ; confidence 0.952
+
242. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120040/a12004012.png ; $( d / d t ) x ( t ) = A x ( t )$ ; confidence 0.969
  
243. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d03070037.png ; $\pi ^ { \prime } : X ^ { \prime } \rightarrow S ^ { \prime }$ ; confidence 0.952
+
243. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020053.png ; $\pi 1 , \pi 2$ ; confidence 0.968
  
244. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047210/h0472103.png ; $C$ ; confidence 0.952
+
244. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001059.png ; $\delta x$ ; confidence 0.968
  
245. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051090/i05109035.png ; $\Theta$ ; confidence 0.952
+
245. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240110.png ; $x$ ; confidence 0.968
  
246. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051430/i05143058.png ; $| \lambda | < 1 / M ( b - \alpha )$ ; confidence 0.952
+
246. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012410/a012410135.png ; $f ( S )$ ; confidence 0.968
  
247. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j13004079.png ; $s ( L ) \geq ( E - e ) / 2$ ; confidence 0.952
+
247. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013170/a01317026.png ; $y _ { t } = t - S _ { \eta _ { t } }$ ; confidence 0.968
  
248. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064870/m06487010.png ; $\xi = x _ { m }$ ; confidence 0.952
+
248. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006091.png ; $m _ { B } ( A ) = 0$ ; confidence 0.968
  
249. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420125.png ; $( K _ { 0 } ( A ) , K _ { 0 } ( A ) ^ { + } )$ ; confidence 0.951
+
249. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g04381012.png ; $\overline { O } _ { k }$ ; confidence 0.968
  
250. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310112.png ; $M ( C ( S ) , \alpha _ { 1 } , G _ { 1 } )$ ; confidence 0.951
+
250. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g1300606.png ; $p _ { n } ( z ) : = \operatorname { det } \{ z I - A \}$ ; confidence 0.968
  
251. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001061.png ; $\Gamma \subset SU ( 2 )$ ; confidence 0.951
+
251. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044660/g04466023.png ; $A _ { 0 } = \mathfrak { A } _ { 0 }$ ; confidence 0.968
  
252. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015110/b01511064.png ; $\mu = \delta _ { X }$ ; confidence 0.951
+
252. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051930/i051930154.png ; $\{ f _ { \alpha } : \alpha \in \mathfrak { A } \}$ ; confidence 0.968
  
253. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015870/b01587024.png ; $( 1 - \Delta ) ^ { m } P _ { \alpha } ( x ) = P _ { \alpha - 2 m } ( x )$ ; confidence 0.951
+
253. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n06663069.png ; $\Delta _ { k } ^ { k } f ^ { ( s ) }$ ; confidence 0.968
  
254. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022700/c02270026.png ; $g : Y \rightarrow Z$ ; confidence 0.951
+
254. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096020/v096020108.png ; $\lambda \leq 0.5$ ; confidence 0.968
  
255. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130230/m130230127.png ; $\phi : X ^ { \prime } \rightarrow Y$ ; confidence 0.951
+
255. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120050/w12005029.png ; $D = R [ x ] / D$ ; confidence 0.968
  
256. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074010/p07401072.png ; $F _ { 5 } ^ { \mu } = C _ { 4 } \cap F _ { 8 } ^ { \mu }$ ; confidence 0.951
+
256. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024028.png ; $g = ( \nu / 2 ) - n + 1$ ; confidence 0.968
  
257. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006083.png ; $\overline { H }$ ; confidence 0.950
+
257. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010165.png ; $( A ) = m < n$ ; confidence 0.967
  
258. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120300/b12030013.png ; $q \in Z ^ { N }$ ; confidence 0.950
+
258. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a12031049.png ; $B ( K )$ ; confidence 0.967
  
259. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031010/d03101088.png ; $S ^ { 4 k - 1 }$ ; confidence 0.950
+
259. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001022.png ; $n \geq 1$ ; confidence 0.967
  
260. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120010/h12001013.png ; $X ^ { ( r ) } \rightarrow V$ ; confidence 0.950
+
260. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042087.png ; $x _ { i } \leq z \leq y _ { j }$ ; confidence 0.967
  
261. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055820/k0558203.png ; $\square ^ { 1 } S _ { 2 } ( i )$ ; confidence 0.950
+
261. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002020.png ; $D _ { 2 }$ ; confidence 0.967
  
262. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067080/n06708018.png ; $y ^ { * } = \alpha ( g ^ { * } )$ ; confidence 0.950
+
262. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050230.png ; $A ^ { \# }$ ; confidence 0.967
  
263. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091960/s0919603.png ; $R = \{ \pi ( i ) : \square i \in I \}$ ; confidence 0.950
+
263. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110250/b11025093.png ; $L ( t )$ ; confidence 0.967
  
264. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096380/v09638042.png ; $G ^ { k } ( V ) \times V$ ; confidence 0.950
+
264. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024780/c02478054.png ; $f ^ { \prime } ( z _ { 0 } )$ ; confidence 0.967
  
265. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110790/a11079027.png ; $M \subset G$ ; confidence 0.949
+
265. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032010/d03201062.png ; $\partial x / u = \partial t / 1$ ; confidence 0.967
  
266. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539050.png ; $\theta = \theta _ { i }$ ; confidence 0.949
+
266. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055180/k05518015.png ; $z ^ { 2 } y ^ { \prime \prime } + z y ^ { \prime } - ( i z ^ { 2 } + \nu ^ { 2 } ) y = 0$ ; confidence 0.967
  
267. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110050/c11005025.png ; $X _ { t } = 2.632 + 1.492 X _ { t - 1 } - 1.324 X _ { t - 2 } + \epsilon _ { t } ^ { ( 2 ) }$ ; confidence 0.949
+
267. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057780/l05778086.png ; $4.60$ ; confidence 0.967
  
268. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110170/c1101705.png ; $D _ { p }$ ; confidence 0.949
+
268. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058240/l0582408.png ; $\operatorname { grad } \phi ( \zeta ) \neq 0$ ; confidence 0.967
  
269. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035550/e035550128.png ; $\alpha ( X ) = \operatorname { tr } \operatorname { deg } M ( X )$ ; confidence 0.949
+
269. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059340/l059340213.png ; $A -$ ; confidence 0.967
  
270. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094540/t09454051.png ; $\{ \omega _ { n } ^ { + } ( V ) \}$ ; confidence 0.949
+
270. https://www.encyclopediaofmath.org/legacyimages/o/o110/o110070/o11007062.png ; $K$ ; confidence 0.967
  
271. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018056.png ; $A _ { n } = \sum _ { j = 1 } ^ { k } B _ { j } n ^ { s _ { j } } ( \operatorname { ln } n ) ^ { \alpha _ { j } } + O ( n ^ { \beta } )$ ; confidence 0.948
+
271. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081400/r08140012.png ; $s < s ^ { \prime }$ ; confidence 0.967
  
272. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010101.png ; $Z = G / U ( 1 ) . K$ ; confidence 0.948
+
272. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010290/a01029095.png ; $F : X _ { \delta } \rightarrow Y _ { \delta }$ ; confidence 0.967
  
273. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001064.png ; $s ^ { 3 }$ ; confidence 0.948
+
273. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040143.png ; $\varphi _ { L } : A \rightarrow P ^ { 2 }$ ; confidence 0.966
  
274. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120140/b12014039.png ; $a ( z )$ ; confidence 0.948
+
274. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240170.png ; $\gamma _ { i } = 0$ ; confidence 0.966
  
275. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016970/b0169702.png ; $x ^ { \sigma } = x$ ; confidence 0.948
+
275. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110560/b11056013.png ; $w _ { 2 } ( F )$ ; confidence 0.966
  
276. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032130/d032130311.png ; $\omega \in \Omega ^ { d } [ X ]$ ; confidence 0.948
+
276. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044470/g04447072.png ; $q ^ { \prime } \in A ^ { \prime }$ ; confidence 0.966
  
277. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i050230228.png ; $D _ { j } ^ { l } f \in L _ { p } ( R ^ { n } )$ ; confidence 0.948
+
277. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047860/h047860136.png ; $n = r \neq 0$ ; confidence 0.966
  
278. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064420/m06442050.png ; $k = m / 2$ ; confidence 0.948
+
278. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055940/k05594016.png ; $\frac { d \xi } { d t } = \epsilon X _ { 0 } ( \xi ) + \epsilon ^ { 2 } P _ { 2 } ( \xi ) + \ldots + \epsilon ^ { m } P _ { m } ( \xi )$ ; confidence 0.966
  
279. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013014.png ; $\Leftrightarrow [ \frac { \partial } { \partial x } - P , \frac { \partial } { \partial t _ { n } } - Q ^ { ( n ) } ] = 0$ ; confidence 0.947
+
279. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062160/m06216027.png ; $p < q$ ; confidence 0.966
  
280. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013030.png ; $( \partial / \partial x ) - P _ { 0 } z$ ; confidence 0.947
+
280. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m13026036.png ; $x \lambda ( y ) = \rho ( x ) y$ ; confidence 0.966
  
281. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013093.png ; $P _ { n + 1 } = \sum _ { i = 0 } ^ { n + 1 } u _ { i } ( \frac { d } { d x } ) ^ { i }$ ; confidence 0.947
+
281. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070240/o07024025.png ; $- \beta V$ ; confidence 0.966
  
282. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012090/a0120907.png ; $\alpha \neq 0$ ; confidence 0.947
+
282. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077130/r07713084.png ; $r _ { 1 } > r _ { 2 }$ ; confidence 0.966
  
283. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022450/c0224501.png ; $x ( t ) : R \rightarrow R ^ { n }$ ; confidence 0.947
+
283. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s13051063.png ; $\Gamma = \Gamma _ { 1 } + \ldots + \Gamma _ { m }$ ; confidence 0.966
  
284. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780210.png ; $x _ { i } / ( e ^ { x _ { i } } - 1 )$ ; confidence 0.947
+
284. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086960/s08696030.png ; $\| x _ { 0 } \| \leq \delta$ ; confidence 0.966
  
285. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024730/c024730113.png ; $P _ { i j } = \frac { 1 } { n - 2 } R _ { j } - \delta _ { j } ^ { i } \frac { R } { 2 ( n - 1 ) ( n - 2 ) }$ ; confidence 0.947
+
285. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097720/w0977202.png ; $f ( x ) = \alpha _ { n } x ^ { n } + \ldots + \alpha _ { 1 } x$ ; confidence 0.966
  
286. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130090/f1300908.png ; $U _ { n } ( x ) = \frac { \alpha ^ { n } ( x ) - \beta ^ { n } ( x ) } { \alpha ( x ) - \beta ( x ) }$ ; confidence 0.947
+
286. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010215.png ; $y ^ { i }$ ; confidence 0.965
  
287. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041160/f04116031.png ; $\alpha = - b$ ; confidence 0.947
+
287. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130010/b13001099.png ; $\left( \begin{array} { l l } { A } & { B } \\ { C } & { D } \end{array} \right)$ ; confidence 0.965
  
288. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840272.png ; $E ( \Delta ) K \subset D ( A )$ ; confidence 0.947
+
288. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016850/b01685022.png ; $N = \sum _ { i = 1 } ^ { M } N$ ; confidence 0.965
  
289. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068500/o06850051.png ; $\sigma \leq t \leq \theta$ ; confidence 0.947
+
289. 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
  
290. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080180/r0801808.png ; $t _ { k } \in R$ ; confidence 0.947
+
290. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020187.png ; $\delta : G ^ { \prime } \rightarrow W$ ; confidence 0.965
  
291. https://www.encyclopediaofmath.org/legacyimages/s/s110/s110280/s11028060.png ; $\sum _ { i = 1 } ^ { r } \alpha _ { i } \theta ( b _ { i } ) \in Z [ G ]$ ; confidence 0.947
+
291. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m13025061.png ; $\int | \rho _ { \varepsilon } ( x ) | d x$ ; confidence 0.965
  
292. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001029.png ; $C ( S )$ ; confidence 0.946
+
292. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085400/s085400446.png ; $X \rightarrow \Delta [ 0 ]$ ; confidence 0.965
  
293. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240218.png ; $z = \Gamma y$ ; confidence 0.946
+
293. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021024.png ; $\pi$ ; confidence 0.965
  
294. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015380/b0153803.png ; $A _ { i } \Gamma \cap A _ { j } = \emptyset$ ; confidence 0.946
+
294. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310133.png ; $A ^ { \infty } / M$ ; confidence 0.964
  
295. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050030/i050030120.png ; $A \backslash I$ ; confidence 0.946
+
295. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012100/a01210023.png ; $| \alpha | = \sqrt { \overline { \alpha } \alpha }$ ; confidence 0.964
  
296. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130040/i1300404.png ; $\sum _ { k = 1 } ^ { \infty } b _ { k } \operatorname { sin } k x$ ; confidence 0.946
+
296. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024120/c02412065.png ; $J ( s ) = \operatorname { lim } J _ { N } ( s ) = 2 ( 2 \pi ) ^ { s - 1 } \zeta ( 1 - s ) \operatorname { sin } \frac { \pi s } { 2 }$ ; confidence 0.964
  
297. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093900/t093900196.png ; $T _ { 23 } n ( \operatorname { cos } \pi \omega )$ ; confidence 0.946
+
297. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026460/c02646017.png ; $i _ { k } = k - n [ k / n ] + 1$ ; confidence 0.964
  
298. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096350/v0963509.png ; $( a + b ) + c = a + ( b + c )$ ; confidence 0.946
+
298. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062590/m06259061.png ; $\alpha = \beta _ { 1 } \vee \ldots \vee \beta _ { r }$ ; confidence 0.964
  
299. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240417.png ; $( n - r ) ^ { - 1 } M _ { E }$ ; confidence 0.945
+
299. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082320/r08232050.png ; $\operatorname { lim } _ { r \rightarrow 1 } \int _ { E } | f ( r e ^ { i \theta } ) | ^ { \delta } d \theta = \int _ { E } | f ( e ^ { i \theta } ) | ^ { \delta } d \theta$ ; confidence 0.964
  
300. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240213.png ; $7$ ; confidence 0.945
+
300. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097040/w0970409.png ; $\int _ { 0 } ^ { \pi / 2 } \operatorname { sin } ^ { 2 m + 1 } x d x$ ; confidence 0.964

Revision as of 10:27, 2 September 2019

List

1. a110010117.png ; $A x = b$ ; confidence 0.981

2. b13006022.png ; $\| A \| _ { \infty }$ ; confidence 0.981

3. b01539011.png ; $\delta = \delta ( x )$ ; confidence 0.981

4. b01735065.png ; $K$ ; confidence 0.981

5. b120440103.png ; $R [ H \times H$ ; confidence 0.981

6. c02604027.png ; $P Q$ ; confidence 0.981

7. d03189028.png ; $\Delta \rightarrow 0$ ; confidence 0.981

8. d03321058.png ; $R _ { 2 } : x ^ { \prime } \Sigma ^ { - 1 } ( \mu ^ { ( 1 ) } - \mu ^ { ( 2 ) } ) +$ ; confidence 0.981

9. d0339309.png ; $p _ { 1 } / p _ { 2 }$ ; confidence 0.981

10. d120280152.png ; $A ( D ) ^ { * } \simeq A / B$ ; confidence 0.981

11. e03662025.png ; $Q _ { n - j } ( z ) \equiv 0$ ; confidence 0.981

12. f12015012.png ; $\beta ( A ) : = \operatorname { codim } R ( A ) < \infty$ ; confidence 0.981

13. g04468042.png ; $\operatorname { grad } ( f g ) = g \operatorname { grad } f + f \operatorname { grad } g$ ; confidence 0.981

14. h04825025.png ; $O A M$ ; confidence 0.981

15. i05177061.png ; $\psi = \sum \psi _ { i } \partial / \partial x _ { i }$ ; confidence 0.981

16. i051950193.png ; $\{ \psi _ { i } ( x ) \} _ { i = 0 } ^ { n }$ ; confidence 0.981

17. l12006027.png ; $\phi \in H$ ; confidence 0.981

18. m063240428.png ; $S _ { 1 } \times S _ { 2 }$ ; confidence 0.981

19. m06544030.png ; $E = \{ e \}$ ; confidence 0.981

20. r08155085.png ; $\psi d z$ ; confidence 0.981

21. t09298063.png ; $f \in S ( R ^ { n } )$ ; confidence 0.981

22. a01018012.png ; $z - b | > R$ ; confidence 0.981

23. a11042075.png ; $\varphi , \psi : A \rightarrow B$ ; confidence 0.980

24. a01018030.png ; $\lambda _ { n } = \operatorname { ln } n$ ; confidence 0.980

25. a110010214.png ; $x ^ { i }$ ; confidence 0.980

26. a130240443.png ; $H _ { j } : X _ { 3 } \beta _ { j } = 0$ ; confidence 0.980

27. a13024015.png ; $n > m$ ; confidence 0.980

28. a130240220.png ; $n \times n$ ; confidence 0.980

29. c12016016.png ; $j = 1 : n$ ; confidence 0.980

30. c0229306.png ; $\{ x _ { n } > 0 \}$ ; confidence 0.980

31. c023380197.png ; $F \subset U$ ; confidence 0.980

32. d120020174.png ; $( US )$ ; confidence 0.980

33. d03087020.png ; $C ^ { \infty } ( G )$ ; confidence 0.980

34. d03201064.png ; $( x - x _ { 0 } ) / ( t - t _ { 0 } ) = u _ { 0 }$ ; confidence 0.980

35. h0482005.png ; $Z = 1$ ; confidence 0.980

36. h0483101.png ; $\frac { \partial w } { \partial t } = A \frac { \partial w } { \partial x }$ ; confidence 0.980

37. l05836089.png ; $S ^ { i j } = \Omega ^ { i j } + T ^ { i j }$ ; confidence 0.980

38. m06262012.png ; $b \in R ^ { l - 1 }$ ; confidence 0.980

39. p075660207.png ; $\kappa : \Omega \rightarrow \Omega _ { 1 }$ ; confidence 0.980

40. r13013019.png ; $P _ { \sigma } ^ { 2 } = P _ { \sigma }$ ; confidence 0.980

41. s0865507.png ; $B _ { N } A ( B _ { N } ( \lambda - \lambda _ { 0 } ) )$ ; confidence 0.980

42. s090190160.png ; $X ( t _ { 1 } ) = x$ ; confidence 0.980

43. s12032058.png ; $S ( L )$ ; confidence 0.980

44. t093150728.png ; $A ^ { * } = A \cup \{ \infty _ { A } \}$ ; confidence 0.980

45. w0971508.png ; $\lambda = 2 \pi / | k |$ ; confidence 0.980

46. w09747012.png ; $x ( t _ { i } ) = x _ { 0 } ( t _ { i } )$ ; confidence 0.980

47. a01012014.png ; $( h \neq 0 )$ ; confidence 0.980

48. a01022022.png ; $\| w _ { p } \| = \sqrt { \sum _ { k = 1 } ^ { p } | \omega _ { k p } | ^ { 2 } } < \epsilon$ ; confidence 0.980

49. a01018036.png ; $\sigma _ { 1 } = \operatorname { Re } s _ { 1 }$ ; confidence 0.980

50. a120310113.png ; $M ( C ( S ) , \alpha _ { 2 } , G _ { 2 } )$ ; confidence 0.980

51. a110010146.png ; $( A )$ ; confidence 0.979

52. a12002022.png ; $F _ { 0 } = f$ ; confidence 0.979

53. b01539015.png ; $\pi = \pi ( d \theta )$ ; confidence 0.979

54. b01616036.png ; $0 < c < 1$ ; confidence 0.979

55. d03379012.png ; $D \backslash K$ ; confidence 0.979

56. g043810238.png ; $x u = 0$ ; confidence 0.979

57. l05866027.png ; $G \subset N ( F )$ ; confidence 0.979

58. l06116099.png ; $V _ { 0 } \subset E$ ; confidence 0.979

59. n11001011.png ; $L _ { \infty } ( T )$ ; confidence 0.979

60. n06728084.png ; $y ^ { \prime \prime \prime } = \lambda y$ ; confidence 0.979

61. p07486040.png ; $0 \leq s _ { 0 } \leq l$ ; confidence 0.979

62. r08064034.png ; $y _ { t } = A x _ { t } + \epsilon _ { t }$ ; confidence 0.979

63. r082200143.png ; $V ^ { \prime } \subset R ^ { \prime }$ ; confidence 0.979

64. s08726044.png ; $\eta _ { 0 } ( i )$ ; confidence 0.979

65. s09076071.png ; $l [ f ] = 0$ ; confidence 0.979

66. t1301005.png ; $\square _ { H } T$ ; confidence 0.979

67. a110040202.png ; $\varphi _ { L } ( A )$ ; confidence 0.979

68. a130240520.png ; $\Sigma _ { 33 } ^ { - 1 } \Sigma _ { 32 }$ ; confidence 0.979

69. a010210121.png ; $\Omega ( a )$ ; confidence 0.979

70. a010210133.png ; $g = 1$ ; confidence 0.978

71. t12001048.png ; $( S , g )$ ; confidence 0.978

72. a11004098.png ; $\theta = [ \Theta$ ; confidence 0.978

73. a11042078.png ; $4$ ; confidence 0.978

74. a11042072.png ; $\alpha ( \Sigma ( A ) ) \subseteq \Sigma ( B )$ ; confidence 0.978

75. a1201008.png ; $y ( 0 ) = x$ ; confidence 0.978

76. a11068076.png ; $\alpha \geq b$ ; confidence 0.978

77. b12004080.png ; $T : L _ { \infty } \rightarrow L _ { \infty }$ ; confidence 0.978

78. b01539038.png ; $\delta ^ { * } ( x )$ ; confidence 0.978

79. c023150259.png ; $\beta \circ \beta = 0$ ; confidence 0.978

80. c02547031.png ; $\alpha \wedge ( d \alpha ) ^ { s } ( x ) \neq 0$ ; confidence 0.978

81. d03087032.png ; $\pi ( \chi )$ ; confidence 0.978

82. g04500031.png ; $( n \operatorname { ln } n ) / 2$ ; confidence 0.978

83. h04830032.png ; $P _ { m } ( \xi + \tau N )$ ; confidence 0.978

84. m06308045.png ; $f ^ { ( m ) } ( x _ { 0 } ) < 0$ ; confidence 0.978

85. m0633503.png ; $\int _ { - 1 } ^ { 1 } \frac { 1 } { \sqrt { 1 - x ^ { 2 } } } f ( x ) d x \approx \frac { \pi } { N } \sum _ { k = 1 } ^ { N } f ( \operatorname { cos } \frac { 2 k - 1 } { 2 N } \pi )$ ; confidence 0.978

86. p07540018.png ; $F \subset G$ ; confidence 0.978

87. s13004056.png ; $\overline { D } = \overline { D } _ { S }$ ; confidence 0.978

88. s08347010.png ; $D ^ { - 1 } \in \pi$ ; confidence 0.978

89. u09541052.png ; $g ^ { p } = e$ ; confidence 0.978

90. a01018059.png ; $\sigma _ { k } - 1 < \beta < \sigma _ { k } < \ldots < \sigma _ { 1 }$ ; confidence 0.978

91. a130240140.png ; $\psi = c ^ { \prime } \beta$ ; confidence 0.978

92. a110010155.png ; $x + \delta x = ( A + \delta A ) ^ { + } ( b + \delta b )$ ; confidence 0.977

93. a12002021.png ; $F : X \times I \rightarrow Z$ ; confidence 0.977

94. a110420149.png ; $K _ { 0 } ( \varphi ) : K _ { 0 } ( A ) \rightarrow K _ { 0 } ( B )$ ; confidence 0.977

95. a12016079.png ; $1 / ( 1 - \lambda )$ ; confidence 0.977

96. a01164040.png ; $q ( V )$ ; confidence 0.977

97. a110680125.png ; $p / p$ ; confidence 0.977

98. a11068053.png ; $r ^ { \prime } < r$ ; confidence 0.977

99. k12003040.png ; $E = \emptyset$ ; confidence 0.977

100. l059350101.png ; $X ( t ) = \operatorname { exp } ( \int _ { t _ { 0 } } ^ { t } A ( \tau ) d \tau )$ ; confidence 0.977

101. m06259044.png ; $V _ { [ r ] }$ ; confidence 0.977

102. m062620207.png ; $R _ { + } ^ { l }$ ; confidence 0.977

103. s12004026.png ; $x ^ { T } = x _ { 1 } ^ { 3 } x _ { 2 } x _ { 3 } ^ { 2 } x _ { 4 }$ ; confidence 0.977

104. t09253011.png ; $( \pi | \tau _ { 1 } | \tau _ { 2 } )$ ; confidence 0.977

105. u0952109.png ; $f _ { \alpha } ( x ) \geq - c$ ; confidence 0.977

106. v096900122.png ; $Q = U U ^ { * }$ ; confidence 0.977

107. w097510202.png ; $q \in T _ { n } ( k )$ ; confidence 0.977

108. z1301303.png ; $x _ { 2 } = r \operatorname { sin } \theta$ ; confidence 0.977

109. b01539053.png ; $\rho ( \pi , \delta ) = \int _ { X } [ \pi _ { 1 } p ( x | \theta _ { 1 } ) L ( \theta _ { 1 } , \delta ( x ) ) +$ ; confidence 0.977

110. a01018052.png ; $\beta > 0$ ; confidence 0.976

111. a110040213.png ; $\varphi _ { L } : A \rightarrow K _ { A } \subset P ^ { 3 }$ ; confidence 0.976

112. a11004070.png ; $d _ { 1 } = 2$ ; confidence 0.976

113. a13013051.png ; $F _ { j k } = \frac { \partial } { \partial t _ { j } } \frac { \partial } { \partial t _ { k } } \operatorname { log } ( \tau )$ ; confidence 0.976

114. c11041079.png ; $A ^ { * } B$ ; confidence 0.976

115. d13009024.png ; $1 \leq u \leq 2$ ; confidence 0.976

116. d03211024.png ; $z = \phi _ { i }$ ; confidence 0.976

117. f13004017.png ; $d _ { k } = \operatorname { det } ( 1 - f _ { t } ^ { \prime } ( x _ { k } ) ) ^ { 1 / 2 }$ ; confidence 0.976

118. f040230157.png ; $\Delta ^ { n } f ( x )$ ; confidence 0.976

119. g045090287.png ; $G _ { A B } ^ { ( n ) } ( E )$ ; confidence 0.976

120. i11008077.png ; $T f _ { n } \rightarrow 0$ ; confidence 0.976

121. l1100603.png ; $x ^ { ( 0 ) } = 1$ ; confidence 0.976

122. l059340144.png ; $C _ { 0 } ( R )$ ; confidence 0.976

123. n06764043.png ; $\Omega _ { X }$ ; confidence 0.976

124. p110120376.png ; $E _ { i } ( x )$ ; confidence 0.976

125. s087820210.png ; $y _ { n + 1 } = y _ { n } + \int _ { 0 } ^ { H / 2 } e ^ { A \tau } d \tau \times$ ; confidence 0.976

126. t093900146.png ; $Q _ { n } W ^ { k } = P _ { n } c ( W ^ { k } + \Phi _ { 0 } ^ { k } - \phi _ { 0 } ^ { k } )$ ; confidence 0.976

127. t09442025.png ; $\overline { U } / \partial \overline { U }$ ; confidence 0.976

128. u09507044.png ; $T ( X ) = \left\{ \begin{array} { l l } { 1 } & { \text { if } X = 1 } \\ { 0 } & { \text { if } X \geq 2 } \end{array} \right.$ ; confidence 0.976

129. w09706017.png ; $2 ^ { m } \leq n \leq 2 ^ { m + 1 } - 1$ ; confidence 0.976

130. y11001021.png ; $J ( \phi )$ ; confidence 0.976

131. a130240186.png ; $b$ ; confidence 0.975

132. a120310115.png ; $G$ ; confidence 0.975

133. a130240167.png ; $\sum \alpha _ { i } = 0$ ; confidence 0.975

134. a11001039.png ; $k ( A ) = \operatorname { lim } _ { \epsilon \rightarrow 0 } \frac { 1 } { \epsilon } \frac { \| \delta x \| } { \| x \| }$ ; confidence 0.975

135. a11008019.png ; $\omega ^ { 2 } = c ^ { 2 } ( \xi ^ { 2 } + \eta ^ { 2 } )$ ; confidence 0.975

136. a01012049.png ; $A _ { 1 } ^ { * }$ ; confidence 0.975

137. c13019046.png ; $X = R ^ { n }$ ; confidence 0.975

138. g04335037.png ; $+ \beta n ( 2 n + 1 ) y _ { n } = 0$ ; confidence 0.975

139. g04466018.png ; $A = \sum _ { i \geq 0 } A$ ; confidence 0.975

140. m062160173.png ; $E$ ; confidence 0.975

141. q12005015.png ; $D ^ { 2 } f ( x ^ { * } ) = D ( D ^ { T } f ( x ^ { * } ) )$ ; confidence 0.975

142. s09191051.png ; $\sim \frac { 2 ^ { n } } { \operatorname { log } _ { 2 } n }$ ; confidence 0.975

143. a110010290.png ; $F ( A )$ ; confidence 0.975

144. a01021021.png ; $( \omega , \pi ) = \int \int _ { S } \omega ^ { * } \overline { \pi }$ ; confidence 0.974

145. t12001071.png ; $\tau _ { 1 } ^ { 2 } + \tau _ { 3 } ^ { 2 } + \tau _ { 3 } ^ { 2 } = 1$ ; confidence 0.974

146. a13013043.png ; $F _ { j k }$ ; confidence 0.974

147. b11019030.png ; $( x ^ { * } y ) ^ { * } z = ( x ^ { * } z ) ^ { * } ( y ^ { * } z )$ ; confidence 0.974

148. c13005021.png ; $\Gamma$ ; confidence 0.974

149. c02165039.png ; $E X ^ { 2 n } < \infty$ ; confidence 0.974

150. c02452065.png ; $x _ { 0 } \in V ^ { n }$ ; confidence 0.974

151. e11008048.png ; $B \circ F$ ; confidence 0.974

152. e11013060.png ; $p _ { x } ^ { * } = \lambda \operatorname { exp } ( - \lambda x )$ ; confidence 0.974

153. e03684024.png ; $C _ { n } = C _ { 1 } + \frac { 1 } { 4 } C _ { 1 } + \ldots + \frac { 1 } { 4 ^ { n - 1 } } C _ { 1 }$ ; confidence 0.974

154. g0450402.png ; $f _ { 12 }$ ; confidence 0.974

155. r08146017.png ; $g \mapsto ( \operatorname { det } g ) ^ { k } R ( g )$ ; confidence 0.974

156. a11001076.png ; $r = A ( x + \delta x ) - b = A \delta x$ ; confidence 0.974

157. a11001097.png ; $( A + \delta A ) x = b + \delta b$ ; confidence 0.973

158. a11001050.png ; $\epsilon \| A$ ; confidence 0.973

159. a01043012.png ; $\xi ^ { * } ( t )$ ; confidence 0.973

160. a13013074.png ; $T$ ; confidence 0.973

161. b0175508.png ; $t _ { 1 } + t$ ; confidence 0.973

162. c02113024.png ; $\partial I ^ { p }$ ; confidence 0.973

163. e13006023.png ; $z \in Z$ ; confidence 0.973

164. g1102602.png ; $B M$ ; confidence 0.973

165. h04642087.png ; $L _ { \infty } ( \hat { G } )$ ; confidence 0.973

166. j120020240.png ; $B M O$ ; confidence 0.973

167. k05548012.png ; $\partial / \partial x ^ { \alpha } \rightarrow ( \partial / \partial x ^ { \alpha } ) - i e A _ { \alpha } / \hbar$ ; confidence 0.973

168. m06269073.png ; $k \frac { \partial u } { \partial n } + h u | _ { S } = v ( x )$ ; confidence 0.973

169. m06499028.png ; $\sum _ { j = 0 } ^ { i } ( - 1 ) ^ { j } m _ { i - j } \geq \sum _ { j = 0 } ^ { i } ( - 1 ) ^ { j } b _ { i - j }$ ; confidence 0.973

170. p07545043.png ; $U _ { i j } = \operatorname { Spec } ( A _ { i j } )$ ; confidence 0.973

171. s08633098.png ; $A \Phi \subset \Phi$ ; confidence 0.973

172. s08713053.png ; $m < \infty$ ; confidence 0.973

173. a11006016.png ; $\omega \mapsto ( \omega , \omega )$ ; confidence 0.973

174. b01539061.png ; $\rho ( \pi , \delta _ { \epsilon } ^ { * } ) \leq \operatorname { inf } _ { \delta } \rho ( \pi , \delta ) + \epsilon$ ; confidence 0.972

175. a110040223.png ; $K _ { A } = A / ( - 1 ) _ { A }$ ; confidence 0.972

176. b01539035.png ; $p ( x ) = \int _ { \Theta } p ( x | \theta ) \pi ( \theta ) d \nu ( \theta )$ ; confidence 0.972

177. b0169001.png ; $d s ^ { 2 } = \frac { d u ^ { 2 } + d v ^ { 2 } } { ( U + V ) ^ { 2 } }$ ; confidence 0.972

178. b016960126.png ; $\omega _ { i } = 1$ ; confidence 0.972

179. c12020014.png ; $W ^ { m + 1 }$ ; confidence 0.972

180. f038390152.png ; $\alpha ^ { \lambda } = 1$ ; confidence 0.972

181. f12019028.png ; $C _ { G } ( n ) \leq N$ ; confidence 0.972

182. f120230136.png ; $J : T M \rightarrow T M$ ; confidence 0.972

183. f0418904.png ; $D = \{ z \in C : | z | < 1 \}$ ; confidence 0.972

184. h047930317.png ; $S X \rightarrow S X$ ; confidence 0.972

185. j13004075.png ; $( n _ { + } - n _ { - } ) - ( s ( D _ { L } ) - 1 ) \leq e \leq E \leq ( n _ { + } - n _ { - } ) + ( s ( D _ { L } ) - 1 )$ ; confidence 0.972

186. k11019034.png ; $\mu _ { n } ( P \| Q ) =$ ; confidence 0.972

187. l06060030.png ; $\pi < \operatorname { arg } z \leq \pi$ ; confidence 0.972

188. l05831065.png ; $F _ { n } ( - \infty ) \rightarrow F ( - \infty )$ ; confidence 0.972

189. m06556075.png ; $\frac { | z | ^ { p } } { ( 1 + | z | ) ^ { 2 p } } \leq | f ( z ) | \leq \frac { | z | ^ { p } } { ( 1 - | z | ) ^ { 2 p } }$ ; confidence 0.972

190. p07298015.png ; $\beta \in L _ { q }$ ; confidence 0.972

191. p07346048.png ; $W = M + U$ ; confidence 0.972

192. r08094028.png ; $\{ \alpha _ { n } ^ { ( e ) } \}$ ; confidence 0.972

193. a01018065.png ; $1 + m x / 2 + m ( m - 1 ) x ^ { 2 } / ( 2.1 ) +$ ; confidence 0.972

194. a11001014.png ; $\operatorname { det } ( A ) \neq 0$ ; confidence 0.972

195. a01022089.png ; $( p - 2 ) ( p - 3 ) / 2$ ; confidence 0.971

196. a130240439.png ; $( N ) \leq 1$ ; confidence 0.971

197. a01024092.png ; $g = 2$ ; confidence 0.971

198. a1301302.png ; $\frac { \partial } { \partial t } P _ { 1 } - \frac { \partial } { \partial x } Q _ { 2 } + [ P _ { 1 } , Q _ { 2 } ] = 0$ ; confidence 0.971

199. a110010105.png ; $\Delta A = \epsilon | A$ ; confidence 0.971

200. a130130100.png ; $A K N S$ ; confidence 0.971

201. b11069063.png ; $P T ( C ) \in G$ ; confidence 0.971

202. c02092013.png ; $\Omega _ { 0 } \times \{ x _ { 0 }$ ; confidence 0.971

203. f04188062.png ; $V _ { 0 } ( z )$ ; confidence 0.971

204. h047380203.png ; $\nu \in A$ ; confidence 0.971

205. h047940245.png ; $\Delta _ { q }$ ; confidence 0.971

206. i050650350.png ; $i _ { \alpha } ( D ) \in K ( Y )$ ; confidence 0.971

207. i05141058.png ; $0 < \alpha < a$ ; confidence 0.971

208. i05143036.png ; $\{ \alpha _ { i } ( x ) \}$ ; confidence 0.971

209. m0640004.png ; $\epsilon > 0$ ; confidence 0.971

210. m12023042.png ; $( ( \partial f ) ^ { - 1 } + t l ) ^ { - 1 }$ ; confidence 0.971

211. n1100102.png ; $f \in L _ { \infty } ( T )$ ; confidence 0.971

212. q07683018.png ; $Q _ { 0 } ^ { 0 } = Q ^ { 0 }$ ; confidence 0.971

213. s09019043.png ; $t = Z$ ; confidence 0.971

214. a11042060.png ; $K _ { 1 }$ ; confidence 0.970

215. a11028017.png ; $l ( D ) \geq \chi ( G ) - 1$ ; confidence 0.970

216. b12009082.png ; $L ( r ) = \int _ { 0 } ^ { 2 \pi } | z f ^ { \prime } ( z ) | d \theta = O ( \operatorname { log } \frac { 1 } { 1 - r } )$ ; confidence 0.970

217. b13020088.png ; $\Delta _ { - } = - \Delta _ { + }$ ; confidence 0.970

218. c0217608.png ; $p ( x ) = \frac { 1 } { ( 2 \pi ) ^ { 3 / 2 } \sigma ^ { 2 } } \operatorname { exp } \{ - \frac { 1 } { 2 \sigma ^ { 2 } } ( x _ { 1 } ^ { 2 } + x _ { 2 } ^ { 2 } + x _ { 3 } ^ { 2 } ) \}$ ; confidence 0.970

219. c023050103.png ; $\operatorname { cd } _ { p } ( X ) \leq \operatorname { cohcd } ( X ) + 1$ ; confidence 0.970

220. c025350101.png ; $E _ { 1 } \rightarrow E _ { 1 }$ ; confidence 0.970

221. d11009089.png ; $D \subseteq g H g ^ { - 1 }$ ; confidence 0.970

222. e0353202.png ; $\tau _ { i + 1 } - \tau _ { i }$ ; confidence 0.970

223. f041940314.png ; $L _ { p } ( X )$ ; confidence 0.970

224. p0727608.png ; $f ( x ) \mapsto \hat { f } ( y )$ ; confidence 0.970

225. p073700202.png ; $d ( s ) = \operatorname { sup } \{ n : s \in F _ { n } \}$ ; confidence 0.970

226. q076430127.png ; $f : R _ { + } ^ { n } \rightarrow R _ { + } ^ { n }$ ; confidence 0.970

227. r077130114.png ; $\phi < \beta < L < K < J < T < \tau < F$ ; confidence 0.970

228. s08300055.png ; $D _ { n } D _ { n } \theta = \theta$ ; confidence 0.970

229. s12018056.png ; $M = M ^ { \perp \perp }$ ; confidence 0.970

230. s08764057.png ; $I \subset O ( X )$ ; confidence 0.970

231. w097670153.png ; $\oplus V _ { k } ( M ) / V _ { k - 1 } ( M )$ ; confidence 0.970

232. w0977109.png ; $N _ { G } ( T )$ ; confidence 0.970

233. a01018014.png ; $z - b | < R$ ; confidence 0.970

234. a130240156.png ; $c ^ { \prime }$ ; confidence 0.970

235. a11006020.png ; $8$ ; confidence 0.970

236. a130240478.png ; $0$ ; confidence 0.969

237. c02338039.png ; $f \in L _ { 1 } ( G )$ ; confidence 0.969

238. c02623013.png ; $\int _ { - \pi } ^ { \pi } d \mu ( \theta ) = 1$ ; confidence 0.969

239. i13009026.png ; $\mu _ { m }$ ; confidence 0.969

240. r08002019.png ; $\operatorname { dim } A = n = q - s$ ; confidence 0.969

241. a130240350.png ; $( n - r ) \times p$ ; confidence 0.969

242. a12004012.png ; $( d / d t ) x ( t ) = A x ( t )$ ; confidence 0.969

243. a01020053.png ; $\pi 1 , \pi 2$ ; confidence 0.968

244. a11001059.png ; $\delta x$ ; confidence 0.968

245. a130240110.png ; $x$ ; confidence 0.968

246. a012410135.png ; $f ( S )$ ; confidence 0.968

247. a01317026.png ; $y _ { t } = t - S _ { \eta _ { t } }$ ; confidence 0.968

248. d13006091.png ; $m _ { B } ( A ) = 0$ ; confidence 0.968

249. g04381012.png ; $\overline { O } _ { k }$ ; confidence 0.968

250. g1300606.png ; $p _ { n } ( z ) : = \operatorname { det } \{ z I - A \}$ ; confidence 0.968

251. g04466023.png ; $A _ { 0 } = \mathfrak { A } _ { 0 }$ ; confidence 0.968

252. i051930154.png ; $\{ f _ { \alpha } : \alpha \in \mathfrak { A } \}$ ; confidence 0.968

253. n06663069.png ; $\Delta _ { k } ^ { k } f ^ { ( s ) }$ ; confidence 0.968

254. v096020108.png ; $\lambda \leq 0.5$ ; confidence 0.968

255. w12005029.png ; $D = R [ x ] / D$ ; confidence 0.968

256. a01024028.png ; $g = ( \nu / 2 ) - n + 1$ ; confidence 0.968

257. a110010165.png ; $( A ) = m < n$ ; confidence 0.967

258. a12031049.png ; $B ( K )$ ; confidence 0.967

259. t12001022.png ; $n \geq 1$ ; confidence 0.967

260. a11042087.png ; $x _ { i } \leq z \leq y _ { j }$ ; confidence 0.967

261. a11002020.png ; $D _ { 2 }$ ; confidence 0.967

262. a130050230.png ; $A ^ { \# }$ ; confidence 0.967

263. b11025093.png ; $L ( t )$ ; confidence 0.967

264. c02478054.png ; $f ^ { \prime } ( z _ { 0 } )$ ; confidence 0.967

265. d03201062.png ; $\partial x / u = \partial t / 1$ ; confidence 0.967

266. k05518015.png ; $z ^ { 2 } y ^ { \prime \prime } + z y ^ { \prime } - ( i z ^ { 2 } + \nu ^ { 2 } ) y = 0$ ; confidence 0.967

267. l05778086.png ; $4.60$ ; confidence 0.967

268. l0582408.png ; $\operatorname { grad } \phi ( \zeta ) \neq 0$ ; confidence 0.967

269. l059340213.png ; $A -$ ; confidence 0.967

270. o11007062.png ; $K$ ; confidence 0.967

271. r08140012.png ; $s < s ^ { \prime }$ ; confidence 0.967

272. a01029095.png ; $F : X _ { \delta } \rightarrow Y _ { \delta }$ ; confidence 0.967

273. a110040143.png ; $\varphi _ { L } : A \rightarrow P ^ { 2 }$ ; confidence 0.966

274. a130240170.png ; $\gamma _ { i } = 0$ ; confidence 0.966

275. b11056013.png ; $w _ { 2 } ( F )$ ; confidence 0.966

276. g04447072.png ; $q ^ { \prime } \in A ^ { \prime }$ ; confidence 0.966

277. h047860136.png ; $n = r \neq 0$ ; confidence 0.966

278. k05594016.png ; $\frac { d \xi } { d t } = \epsilon X _ { 0 } ( \xi ) + \epsilon ^ { 2 } P _ { 2 } ( \xi ) + \ldots + \epsilon ^ { m } P _ { m } ( \xi )$ ; confidence 0.966

279. m06216027.png ; $p < q$ ; confidence 0.966

280. m13026036.png ; $x \lambda ( y ) = \rho ( x ) y$ ; confidence 0.966

281. o07024025.png ; $- \beta V$ ; confidence 0.966

282. r07713084.png ; $r _ { 1 } > r _ { 2 }$ ; confidence 0.966

283. s13051063.png ; $\Gamma = \Gamma _ { 1 } + \ldots + \Gamma _ { m }$ ; confidence 0.966

284. s08696030.png ; $\| x _ { 0 } \| \leq \delta$ ; confidence 0.966

285. w0977202.png ; $f ( x ) = \alpha _ { n } x ^ { n } + \ldots + \alpha _ { 1 } x$ ; confidence 0.966

286. a110010215.png ; $y ^ { i }$ ; confidence 0.965

287. b13001099.png ; $\left( \begin{array} { l l } { A } & { B } \\ { C } & { D } \end{array} \right)$ ; confidence 0.965

288. b01685022.png ; $N = \sum _ { i = 1 } ^ { M } N$ ; confidence 0.965

289. f04157048.png ; $x _ { 1 } ( t ) + x _ { 2 } ( t ) = A ( t ) \operatorname { cos } ( \omega _ { 1 } t + \phi ( t ) )$ ; confidence 0.965

290. g043020187.png ; $\delta : G ^ { \prime } \rightarrow W$ ; confidence 0.965

291. m13025061.png ; $\int | \rho _ { \varepsilon } ( x ) | d x$ ; confidence 0.965

292. s085400446.png ; $X \rightarrow \Delta [ 0 ]$ ; confidence 0.965

293. a01021024.png ; $\pi$ ; confidence 0.965

294. a120310133.png ; $A ^ { \infty } / M$ ; confidence 0.964

295. a01210023.png ; $| \alpha | = \sqrt { \overline { \alpha } \alpha }$ ; confidence 0.964

296. c02412065.png ; $J ( s ) = \operatorname { lim } J _ { N } ( s ) = 2 ( 2 \pi ) ^ { s - 1 } \zeta ( 1 - s ) \operatorname { sin } \frac { \pi s } { 2 }$ ; confidence 0.964

297. c02646017.png ; $i _ { k } = k - n [ k / n ] + 1$ ; confidence 0.964

298. m06259061.png ; $\alpha = \beta _ { 1 } \vee \ldots \vee \beta _ { r }$ ; confidence 0.964

299. r08232050.png ; $\operatorname { lim } _ { r \rightarrow 1 } \int _ { E } | f ( r e ^ { i \theta } ) | ^ { \delta } d \theta = \int _ { E } | f ( e ^ { i \theta } ) | ^ { \delta } d \theta$ ; confidence 0.964

300. w0970409.png ; $\int _ { 0 } ^ { \pi / 2 } \operatorname { sin } ^ { 2 m + 1 } x d x$ ; confidence 0.964

How to Cite This Entry:
Maximilian Janisch/latexlist/latex/5. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex/5&oldid=43866