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(AUTOMATIC EDIT of page 5 out of 11 with 300 lines: Updated image/latex database (currently 3083 images latexified; order by Confidence, ascending: False.)
(AUTOMATIC EDIT of page 5 out of 13 with 300 lines: Updated image/latex database (currently 3630 images latexified; order by Confidence, ascending: False.)
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== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120050/k1200504.png ; $B = \sum _ { j = 1 } ^ { t } b _ { j } B _ { j }$ ; confidence 0.961
+
1. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110190/b11019030.png ; $( x ^ { * } y ) ^ { * } z = ( x ^ { * } z ) ^ { * } ( y ^ { * } z )$ ; confidence 0.974
  
2. 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
+
2. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130050/c13005021.png ; $\Gamma$ ; confidence 0.974
  
3. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064700/m0647004.png ; $\alpha = \gamma ( 0 )$ ; confidence 0.961
+
3. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021650/c02165039.png ; $E X ^ { 2 n } < \infty$ ; confidence 0.974
  
4. 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
+
4. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024520/c02452065.png ; $x _ { 0 } \in V ^ { n }$ ; confidence 0.974
  
5. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230111.png ; $E ( L )$ ; confidence 0.960
+
5. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110080/e11008048.png ; $B \circ F$ ; confidence 0.974
  
6. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130090/h13009043.png ; $g _ { i } \in A$ ; confidence 0.960
+
6. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110130/e11013060.png ; $p _ { x } ^ { * } = \lambda \operatorname { exp } ( - \lambda x )$ ; confidence 0.974
  
7. https://www.encyclopediaofmath.org/legacyimages/x/x120/x120020/x12002033.png ; $D ( R )$ ; confidence 0.960
+
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
  
8. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040052.png ; $\mathfrak { h } \subset \mathfrak { g }$ ; confidence 0.959
+
8. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045040/g0450402.png ; $f _ { 12 }$ ; confidence 0.974
  
9. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130270/b1302706.png ; $Q ( H ) = B ( H ) / K ( H )$ ; confidence 0.959
+
9. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081460/r08146017.png ; $g \mapsto ( \operatorname { det } g ) ^ { k } R ( g )$ ; confidence 0.974
  
10. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050730/i05073063.png ; $K \subset H$ ; confidence 0.959
+
10. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001076.png ; $r = A ( x + \delta x ) - b = A \delta x$ ; confidence 0.974
  
11. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051000/i05100028.png ; $- \infty < a < + \infty$ ; confidence 0.959
+
11. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001097.png ; $( A + \delta A ) x = b + \delta b$ ; confidence 0.973
  
12. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001095.png ; $\operatorname { dim } ( S ) = 4 n + 3$ ; confidence 0.958
+
12. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001050.png ; $\epsilon \| A$ ; confidence 0.973
  
13. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240330.png ; $( p \times p _ { 1 } )$ ; confidence 0.958
+
13. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013074.png ; $T$ ; confidence 0.973
  
14. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011780/a01178066.png ; $p \in C$ ; confidence 0.958
+
14. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017550/b0175508.png ; $t _ { 1 } + t$ ; confidence 0.973
  
15. 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
+
15. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021130/c02113024.png ; $\partial I ^ { p }$ ; confidence 0.973
  
16. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023094.png ; $\sigma ^ { k } : M \rightarrow E ^ { k }$ ; confidence 0.958
+
16. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130060/e13006023.png ; $z \in Z$ ; confidence 0.973
  
17. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062550/m06255050.png ; $0 \leq w \leq v$ ; confidence 0.958
+
17. https://www.encyclopediaofmath.org/legacyimages/g/g110/g110260/g1102602.png ; $B M$ ; confidence 0.973
  
18. https://www.encyclopediaofmath.org/legacyimages/o/o110/o110030/o11003037.png ; $K _ { \omega }$ ; confidence 0.958
+
18. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h04642087.png ; $L _ { \infty } ( \hat { G } )$ ; confidence 0.973
  
19. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073270/p07327037.png ; $q ^ { ( n ) } = d ^ { n } q / d x ^ { n }$ ; confidence 0.958
+
19. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j120020240.png ; $B M O$ ; confidence 0.973
  
20. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074160/p07416055.png ; $\rho = | y |$ ; confidence 0.958
+
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
  
21. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086810/s086810108.png ; $W _ { p } ^ { m } ( I ^ { d } )$ ; confidence 0.958
+
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
  
22. https://www.encyclopediaofmath.org/legacyimages/x/x120/x120010/x12001022.png ; $\sigma \in \operatorname { Aut } ( R )$ ; confidence 0.958
+
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
  
23. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a01165079.png ; $H$ ; confidence 0.957
+
23. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075450/p07545043.png ; $U _ { i j } = \operatorname { Spec } ( A _ { i j } )$ ; confidence 0.973
  
24. 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
+
24. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086330/s08633098.png ; $A \Phi \subset \Phi$ ; confidence 0.973
  
25. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023110/c023110101.png ; $Z G$ ; confidence 0.957
+
25. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087130/s08713053.png ; $m < \infty$ ; confidence 0.973
  
26. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026250/c0262508.png ; $( f _ { 1 } + f _ { 2 } ) ( x ) = f _ { 1 } ( x ) + f _ { 2 } ( x )$ ; confidence 0.957
+
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
  
27. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033530/d033530372.png ; $d _ { n } \ll p _ { n } ^ { \theta }$ ; confidence 0.957
+
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
  
28. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f1202105.png ; $| z | < r$ ; confidence 0.957
+
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
  
29. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110220/m11022016.png ; $\lambda ^ { * } \in R ^ { m }$ ; confidence 0.957
+
29. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016960/b016960126.png ; $\omega _ { i } = 1$ ; confidence 0.972
  
30. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072430/p0724307.png ; $\epsilon \ll 1$ ; confidence 0.957
+
30. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120200/c12020014.png ; $W ^ { m + 1 }$ ; confidence 0.972
  
31. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090760/s09076026.png ; $L _ { 0 } ^ { * } = L _ { 1 }$ ; confidence 0.957
+
31. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038390/f038390152.png ; $\alpha ^ { \lambda } = 1$ ; confidence 0.972
  
32. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130050/v130050114.png ; $1 _ { n } ( w ) = 0$ ; confidence 0.957
+
32. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120190/f12019028.png ; $C _ { G } ( n ) \leq N$ ; confidence 0.972
  
33. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009092.png ; $f \in B ( m / n )$ ; confidence 0.956
+
33. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f120230136.png ; $J : T M \rightarrow T M$ ; confidence 0.972
  
34. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017800/b01780036.png ; $d \geq n$ ; confidence 0.956
+
34. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041890/f0418904.png ; $D = \{ z \in C : | z | < 1 \}$ ; confidence 0.972
  
35. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031850/d03185095.png ; $x \neq \pm 1$ ; confidence 0.956
+
35. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047930/h047930317.png ; $S X \rightarrow S X$ ; confidence 0.972
  
36. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120130/f12013083.png ; $| \Phi ( G )$ ; confidence 0.956
+
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
  
37. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003048.png ; $I _ { U } = \{ ( u _ { \lambda } ) _ { \lambda \in \Lambda }$ ; confidence 0.956
+
37. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110190/k11019034.png ; $\mu _ { n } ( P \| Q ) =$ ; confidence 0.972
  
38. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048390/h04839015.png ; $U ^ { ( 2 ) }$ ; confidence 0.956
+
38. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060600/l06060030.png ; $\pi < \operatorname { arg } z \leq \pi$ ; confidence 0.972
  
39. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110020/l11002085.png ; $x \preceq y$ ; confidence 0.956
+
39. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058310/l05831065.png ; $F _ { n } ( - \infty ) \rightarrow F ( - \infty )$ ; confidence 0.972
  
40. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130100/r13010034.png ; $D _ { n }$ ; confidence 0.956
+
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
  
41. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087110/s08711028.png ; $\delta < \alpha$ ; confidence 0.956
+
41. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072980/p07298015.png ; $\beta \in L _ { q }$ ; confidence 0.972
  
42. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110210.png ; $G = G ^ { \sigma }$ ; confidence 0.956
+
42. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073460/p07346048.png ; $W = M + U$ ; confidence 0.972
  
43. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030790/d0307909.png ; $\lambda ^ { m }$ ; confidence 0.955
+
43. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080940/r08094028.png ; $\{ \alpha _ { n } ^ { ( e ) } \}$ ; confidence 0.972
  
44. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038470/f03847048.png ; $\tau _ { 0 } = 0$ ; confidence 0.955
+
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
  
45. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044770/g04477022.png ; $[ \Psi / \Phi ] \Phi$ ; confidence 0.955
+
45. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001014.png ; $\operatorname { det } ( A ) \neq 0$ ; confidence 0.972
  
46. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h046420157.png ; $d g = d h d k$ ; confidence 0.955
+
46. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240439.png ; $( N ) \leq 1$ ; confidence 0.971
  
47. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110020/i11002068.png ; $( \lambda \odot \mu ) \odot v = \lambda \odot ( \mu \odot v )$ ; confidence 0.955
+
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
  
48. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q07631081.png ; $H _ { i } \in \mathfrak { g }$ ; confidence 0.955
+
48. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010105.png ; $\Delta A = \epsilon | A$ ; confidence 0.971
  
49. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110490/a1104901.png ; $D = d / d t$ ; confidence 0.954
+
49. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a130130100.png ; $A K N S$ ; confidence 0.971
  
50. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110200/c11020072.png ; $\lambda \in \Lambda$ ; confidence 0.954
+
50. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110690/b11069063.png ; $P T ( C ) \in G$ ; confidence 0.971
  
51. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032240/d03224071.png ; $d \omega = d \square ^ { * } \omega = 0$ ; confidence 0.954
+
51. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020920/c02092013.png ; $\Omega _ { 0 } \times \{ x _ { 0 }$ ; confidence 0.971
  
52. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e036960205.png ; $\nu - 1 / 2 \in Z$ ; confidence 0.954
+
52. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041880/f04188062.png ; $V _ { 0 } ( z )$ ; confidence 0.971
  
53. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g04509046.png ; $y ( \alpha ) = 0$ ; confidence 0.954
+
53. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047380/h047380203.png ; $\nu \in A$ ; confidence 0.971
  
54. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051620/i051620138.png ; $\Gamma = \partial D _ { 1 } \times \square \ldots \times \partial D _ { n }$ ; confidence 0.954
+
54. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047940/h047940245.png ; $\Delta _ { q }$ ; confidence 0.971
  
55. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092730/t09273032.png ; $M = M _ { 1 } \# M _ { 2 }$ ; confidence 0.954
+
55. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650350.png ; $i _ { \alpha } ( D ) \in K ( Y )$ ; confidence 0.971
  
56. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095230/u09523081.png ; $\{ d f _ { n } / d x \}$ ; confidence 0.954
+
56. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051410/i05141058.png ; $0 < \alpha < a$ ; confidence 0.971
  
57. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b120150110.png ; $d : N \cup \{ 0 \} \rightarrow R$ ; confidence 0.953
+
57. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051430/i05143036.png ; $\{ \alpha _ { i } ( x ) \}$ ; confidence 0.971
  
58. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031280/d03128063.png ; $s ^ { \prime } : Y ^ { \prime } \rightarrow X ^ { \prime }$ ; confidence 0.953
+
58. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064000/m0640004.png ; $\epsilon > 0$ ; confidence 0.971
  
59. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037080/e03708021.png ; $r > n$ ; confidence 0.953
+
59. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120230/m12023042.png ; $( ( \partial f ) ^ { - 1 } + t l ) ^ { - 1 }$ ; confidence 0.971
  
60. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047390/h047390181.png ; $V = V ^ { + } \oplus V ^ { - }$ ; confidence 0.953
+
60. https://www.encyclopediaofmath.org/legacyimages/n/n110/n110010/n1100102.png ; $f \in L _ { \infty } ( T )$ ; confidence 0.971
  
61. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130070/i13007010.png ; $q ( x ) \in L ^ { 2 } \operatorname { loc } ( R ^ { 3 } )$ ; confidence 0.953
+
61. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076830/q07683018.png ; $Q _ { 0 } ^ { 0 } = Q ^ { 0 }$ ; confidence 0.971
  
62. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060220/l0602207.png ; $\in \Theta$ ; confidence 0.953
+
62. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090190/s09019043.png ; $t = Z$ ; confidence 0.971
  
63. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120190/l12019039.png ; $x = - \sum _ { k = 0 } ^ { \infty } ( A ^ { * } ) ^ { k } C ( A ) ^ { k }$ ; confidence 0.953
+
63. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042060.png ; $K _ { 1 }$ ; confidence 0.970
  
64. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093900/t093900154.png ; $g _ { k } = ( 1 + y _ { k } ) / 2$ ; confidence 0.953
+
64. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028017.png ; $l ( D ) \geq \chi ( G ) - 1$ ; confidence 0.970
  
65. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240135.png ; $A$ ; confidence 0.952
+
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
  
66. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010282.png ; $A _ { i } \in R ^ { n \times n }$ ; confidence 0.952
+
66. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020088.png ; $\Delta _ { - } = - \Delta _ { + }$ ; confidence 0.970
  
67. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d03070037.png ; $\pi ^ { \prime } : X ^ { \prime } \rightarrow S ^ { \prime }$ ; confidence 0.952
+
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
  
68. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047210/h0472103.png ; $C$ ; confidence 0.952
+
68. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023050/c023050103.png ; $\operatorname { cd } _ { p } ( X ) \leq \operatorname { cohcd } ( X ) + 1$ ; confidence 0.970
  
69. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051090/i05109035.png ; $\Theta$ ; confidence 0.952
+
69. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025350/c025350101.png ; $E _ { 1 } \rightarrow E _ { 1 }$ ; confidence 0.970
  
70. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051430/i05143058.png ; $| \lambda | < 1 / M ( b - \alpha )$ ; confidence 0.952
+
70. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110090/d11009089.png ; $D \subseteq g H g ^ { - 1 }$ ; confidence 0.970
  
71. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j13004079.png ; $s ( L ) \geq ( E - e ) / 2$ ; confidence 0.952
+
71. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035320/e0353202.png ; $\tau _ { i + 1 } - \tau _ { i }$ ; confidence 0.970
  
72. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064870/m06487010.png ; $\xi = x _ { m }$ ; confidence 0.952
+
72. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041940/f041940314.png ; $L _ { p } ( X )$ ; confidence 0.970
  
73. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420125.png ; $( K _ { 0 } ( A ) , K _ { 0 } ( A ) ^ { + } )$ ; confidence 0.951
+
73. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072760/p0727608.png ; $f ( x ) \mapsto \hat { f } ( y )$ ; confidence 0.970
  
74. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001061.png ; $\Gamma \subset SU ( 2 )$ ; confidence 0.951
+
74. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073700/p073700202.png ; $d ( s ) = \operatorname { sup } \{ n : s \in F _ { n } \}$ ; confidence 0.970
  
75. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015110/b01511064.png ; $\mu = \delta _ { X }$ ; confidence 0.951
+
75. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076430/q076430127.png ; $f : R _ { + } ^ { n } \rightarrow R _ { + } ^ { n }$ ; confidence 0.970
  
76. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015870/b01587024.png ; $( 1 - \Delta ) ^ { m } P _ { \alpha } ( x ) = P _ { \alpha - 2 m } ( x )$ ; confidence 0.951
+
76. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077130/r077130114.png ; $\phi < \beta < L < K < J < T < \tau < F$ ; confidence 0.970
  
77. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022700/c02270026.png ; $g : Y \rightarrow Z$ ; confidence 0.951
+
77. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083000/s08300055.png ; $D _ { n } D _ { n } \theta = \theta$ ; confidence 0.970
  
78. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130230/m130230127.png ; $\phi : X ^ { \prime } \rightarrow Y$ ; confidence 0.951
+
78. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120180/s12018056.png ; $M = M ^ { \perp \perp }$ ; confidence 0.970
  
79. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074010/p07401072.png ; $F _ { 5 } ^ { \mu } = C _ { 4 } \cap F _ { 8 } ^ { \mu }$ ; confidence 0.951
+
79. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087640/s08764057.png ; $I \subset O ( X )$ ; confidence 0.970
  
80. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006083.png ; $\overline { H }$ ; confidence 0.950
+
80. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097670/w097670153.png ; $\oplus V _ { k } ( M ) / V _ { k - 1 } ( M )$ ; confidence 0.970
  
81. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120300/b12030013.png ; $q \in Z ^ { N }$ ; confidence 0.950
+
81. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097710/w0977109.png ; $N _ { G } ( T )$ ; confidence 0.970
  
82. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031010/d03101088.png ; $S ^ { 4 k - 1 }$ ; confidence 0.950
+
82. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018014.png ; $z - b | < R$ ; confidence 0.970
  
83. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120010/h12001013.png ; $X ^ { ( r ) } \rightarrow V$ ; confidence 0.950
+
83. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240156.png ; $c ^ { \prime }$ ; confidence 0.970
  
84. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055820/k0558203.png ; $\square ^ { 1 } S _ { 2 } ( i )$ ; confidence 0.950
+
84. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240478.png ; $0$ ; confidence 0.969
  
85. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067080/n06708018.png ; $y ^ { * } = \alpha ( g ^ { * } )$ ; confidence 0.950
+
85. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023380/c02338039.png ; $f \in L _ { 1 } ( G )$ ; confidence 0.969
  
86. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091960/s0919603.png ; $R = \{ \pi ( i ) : \square i \in I \}$ ; confidence 0.950
+
86. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026230/c02623013.png ; $\int _ { - \pi } ^ { \pi } d \mu ( \theta ) = 1$ ; confidence 0.969
  
87. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096380/v09638042.png ; $G ^ { k } ( V ) \times V$ ; confidence 0.950
+
87. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i13009026.png ; $\mu _ { m }$ ; confidence 0.969
  
88. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110790/a11079027.png ; $M \subset G$ ; confidence 0.949
+
88. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080020/r08002019.png ; $\operatorname { dim } A = n = q - s$ ; confidence 0.969
  
89. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539050.png ; $\theta = \theta _ { i }$ ; confidence 0.949
+
89. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240350.png ; $( n - r ) \times p$ ; confidence 0.969
  
90. 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
+
90. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020053.png ; $\pi 1 , \pi 2$ ; confidence 0.968
  
91. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110170/c1101705.png ; $D _ { p }$ ; confidence 0.949
+
91. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001059.png ; $\delta x$ ; confidence 0.968
  
92. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035550/e035550128.png ; $\alpha ( X ) = \operatorname { tr } \operatorname { deg } M ( X )$ ; confidence 0.949
+
92. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240110.png ; $x$ ; confidence 0.968
  
93. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094540/t09454051.png ; $\{ \omega _ { n } ^ { + } ( V ) \}$ ; confidence 0.949
+
93. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012410/a012410135.png ; $f ( S )$ ; confidence 0.968
  
94. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010101.png ; $Z = G / U ( 1 ) . K$ ; confidence 0.948
+
94. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013170/a01317026.png ; $y _ { t } = t - S _ { \eta _ { t } }$ ; confidence 0.968
  
95. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001064.png ; $s ^ { 3 }$ ; confidence 0.948
+
95. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006091.png ; $m _ { B } ( A ) = 0$ ; confidence 0.968
  
96. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120140/b12014039.png ; $a ( z )$ ; confidence 0.948
+
96. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g04381012.png ; $\overline { O } _ { k }$ ; confidence 0.968
  
97. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016970/b0169702.png ; $x ^ { \sigma } = x$ ; confidence 0.948
+
97. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g1300606.png ; $p _ { n } ( z ) : = \operatorname { det } \{ z I - A \}$ ; confidence 0.968
  
98. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032130/d032130311.png ; $\omega \in \Omega ^ { d } [ X ]$ ; confidence 0.948
+
98. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044660/g04466023.png ; $A _ { 0 } = \mathfrak { A } _ { 0 }$ ; confidence 0.968
  
99. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i050230228.png ; $D _ { j } ^ { l } f \in L _ { p } ( R ^ { n } )$ ; confidence 0.948
+
99. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051930/i051930154.png ; $\{ f _ { \alpha } : \alpha \in \mathfrak { A } \}$ ; confidence 0.968
  
100. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064420/m06442050.png ; $k = m / 2$ ; confidence 0.948
+
100. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n06663069.png ; $\Delta _ { k } ^ { k } f ^ { ( s ) }$ ; confidence 0.968
  
101. 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
+
101. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096020/v096020108.png ; $\lambda \leq 0.5$ ; confidence 0.968
  
102. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013030.png ; $( \partial / \partial x ) - P _ { 0 } z$ ; confidence 0.947
+
102. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120050/w12005029.png ; $D = R [ x ] / D$ ; confidence 0.968
  
103. 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
+
103. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010165.png ; $( A ) = m < n$ ; confidence 0.967
  
104. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012090/a0120907.png ; $\alpha \neq 0$ ; confidence 0.947
+
104. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a12031049.png ; $B ( K )$ ; confidence 0.967
  
105. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022450/c0224501.png ; $x ( t ) : R \rightarrow R ^ { n }$ ; confidence 0.947
+
105. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001022.png ; $n \geq 1$ ; confidence 0.967
  
106. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780210.png ; $x _ { i } / ( e ^ { x _ { i } } - 1 )$ ; confidence 0.947
+
106. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042087.png ; $x _ { i } \leq z \leq y _ { j }$ ; confidence 0.967
  
107. 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
+
107. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002020.png ; $D _ { 2 }$ ; confidence 0.967
  
108. 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
+
108. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050230.png ; $A ^ { \# }$ ; confidence 0.967
  
109. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041160/f04116031.png ; $\alpha = - b$ ; confidence 0.947
+
109. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110250/b11025093.png ; $L ( t )$ ; confidence 0.967
  
110. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840272.png ; $E ( \Delta ) K \subset D ( A )$ ; confidence 0.947
+
110. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024780/c02478054.png ; $f ^ { \prime } ( z _ { 0 } )$ ; confidence 0.967
  
111. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068500/o06850051.png ; $\sigma \leq t \leq \theta$ ; confidence 0.947
+
111. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032010/d03201062.png ; $\partial x / u = \partial t / 1$ ; confidence 0.967
  
112. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080180/r0801808.png ; $t _ { k } \in R$ ; confidence 0.947
+
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
  
113. 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
+
113. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057780/l05778086.png ; $4.60$ ; confidence 0.967
  
114. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001029.png ; $C ( S )$ ; confidence 0.946
+
114. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058240/l0582408.png ; $\operatorname { grad } \phi ( \zeta ) \neq 0$ ; confidence 0.967
  
115. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240218.png ; $z = \Gamma y$ ; confidence 0.946
+
115. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059340/l059340213.png ; $A -$ ; confidence 0.967
  
116. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015380/b0153803.png ; $A _ { i } \Gamma \cap A _ { j } = \emptyset$ ; confidence 0.946
+
116. https://www.encyclopediaofmath.org/legacyimages/o/o110/o110070/o11007062.png ; $K$ ; confidence 0.967
  
117. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050030/i050030120.png ; $A \backslash I$ ; confidence 0.946
+
117. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081400/r08140012.png ; $s < s ^ { \prime }$ ; confidence 0.967
  
118. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130040/i1300404.png ; $\sum _ { k = 1 } ^ { \infty } b _ { k } \operatorname { sin } k x$ ; confidence 0.946
+
118. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240170.png ; $\gamma _ { i } = 0$ ; confidence 0.966
  
119. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093900/t093900196.png ; $T _ { 23 } n ( \operatorname { cos } \pi \omega )$ ; confidence 0.946
+
119. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110560/b11056013.png ; $w _ { 2 } ( F )$ ; confidence 0.966
  
120. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096350/v0963509.png ; $( a + b ) + c = a + ( b + c )$ ; confidence 0.946
+
120. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044470/g04447072.png ; $q ^ { \prime } \in A ^ { \prime }$ ; confidence 0.966
  
121. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240213.png ; $7$ ; confidence 0.945
+
121. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047860/h047860136.png ; $n = r \neq 0$ ; confidence 0.966
  
122. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539052.png ; $L _ { 22 } < L _ { 21 }$ ; confidence 0.945
+
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
  
123. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b130300112.png ; $F _ { m }$ ; confidence 0.945
+
123. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062160/m06216027.png ; $p < q$ ; confidence 0.966
  
124. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110500/c11050032.png ; $H C ^ { 0 } ( A )$ ; confidence 0.945
+
124. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m13026036.png ; $x \lambda ( y ) = \rho ( x ) y$ ; confidence 0.966
  
125. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032890/d03289066.png ; $s = - 2 \nu - \delta$ ; confidence 0.945
+
125. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070240/o07024025.png ; $- \beta V$ ; confidence 0.966
  
126. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064430/m064430225.png ; $\operatorname { lm } A ( \tau )$ ; confidence 0.945
+
126. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077130/r07713084.png ; $r _ { 1 } > r _ { 2 }$ ; confidence 0.966
  
127. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066480/n06648031.png ; $\phi _ { \alpha } ( f ) = w _ { \alpha }$ ; confidence 0.945
+
127. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s13051063.png ; $\Gamma = \Gamma _ { 1 } + \ldots + \Gamma _ { m }$ ; confidence 0.966
  
128. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073090/p07309060.png ; $R \times D$ ; confidence 0.945
+
128. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086960/s08696030.png ; $\| x _ { 0 } \| \leq \delta$ ; confidence 0.966
  
129. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120010/b12001032.png ; $\frac { \partial v } { \partial t } - 6 v ^ { 2 } \frac { \partial v } { \partial x } + \frac { \partial ^ { 3 } v } { \partial x ^ { 3 } } = 0$ ; confidence 0.944
+
129. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097720/w0977202.png ; $f ( x ) = \alpha _ { n } x ^ { n } + \ldots + \alpha _ { 1 } x$ ; confidence 0.966
  
130. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024850/c02485065.png ; $A . B$ ; confidence 0.944
+
130. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010215.png ; $y ^ { i }$ ; confidence 0.965
  
131. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048420/h048420118.png ; $F _ { j } ( z ) = \sum _ { k = 1 } ^ { N } G _ { j k } ( z )$ ; confidence 0.944
+
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
  
132. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110070/k11007019.png ; $- w _ { 0 } ( \chi )$ ; confidence 0.944
+
132. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016850/b01685022.png ; $N = \sum _ { i = 1 } ^ { M } N$ ; confidence 0.965
  
133. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057150/l05715026.png ; $\ddot { x } \square _ { \nu } = d \dot { x } \square _ { \nu } / d t$ ; confidence 0.944
+
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
  
134. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w12011033.png ; $S ( R ^ { n } ) \times S ( R ^ { n } )$ ; confidence 0.944
+
134. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020187.png ; $\delta : G ^ { \prime } \rightarrow W$ ; confidence 0.965
  
135. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420120.png ; $y \in G ^ { + }$ ; confidence 0.943
+
135. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m13025061.png ; $\int | \rho _ { \varepsilon } ( x ) | d x$ ; confidence 0.965
  
136. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035810/e03581038.png ; $\Phi \Psi$ ; confidence 0.943
+
136. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085400/s085400446.png ; $X \rightarrow \Delta [ 0 ]$ ; confidence 0.965
  
137. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040610/f04061036.png ; $C ^ { b r } ( E ^ { n } )$ ; confidence 0.943
+
137. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021024.png ; $\pi$ ; confidence 0.965
  
138. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076430/q07643044.png ; $f \in W _ { 2 } ^ { 1 }$ ; confidence 0.943
+
138. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310133.png ; $A ^ { \infty } / M$ ; confidence 0.964
  
139. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042084.png ; $x _ { 1 } , x _ { 2 } , y _ { 1 } , y _ { 2 } \in G$ ; confidence 0.943
+
139. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012100/a01210023.png ; $| \alpha | = \sqrt { \overline { \alpha } \alpha }$ ; confidence 0.964
  
140. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001075.png ; $s ^ { 2 }$ ; confidence 0.942
+
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
  
141. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040390/f04039064.png ; $y ^ { i } C _ { i j k } = 0$ ; confidence 0.942
+
141. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026460/c02646017.png ; $i _ { k } = k - n [ k / n ] + 1$ ; confidence 0.964
  
142. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087450/s087450112.png ; $\xi = \sum b _ { j } x ( t _ { j } )$ ; confidence 0.942
+
142. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062590/m06259061.png ; $\alpha = \beta _ { 1 } \vee \ldots \vee \beta _ { r }$ ; confidence 0.964
  
143. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130080/w130080127.png ; $S _ { n } = s _ { n } + \theta ^ { 2 } F _ { n }$ ; confidence 0.942
+
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
  
144. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031280/d031280173.png ; $R ^ { i } F = H ^ { i } \circ R ^ { * } F$ ; confidence 0.941
+
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
  
145. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110220/h1102204.png ; $h : E ^ { m } \rightarrow R$ ; confidence 0.941
+
145. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013000/a01300068.png ; $P _ { 0 } ( z )$ ; confidence 0.963
  
146. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120120/m120120128.png ; $C = Z ( Q )$ ; confidence 0.941
+
146. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020280/c020280177.png ; $\underline { C } ( E ) = \operatorname { sup } C ( K )$ ; confidence 0.963
  
147. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082500/r08250029.png ; $u _ { 0 } = A ^ { - 1 } f$ ; confidence 0.941
+
147. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025720/c02572035.png ; $B \circ A$ ; confidence 0.963
  
148. https://www.encyclopediaofmath.org/legacyimages/s/s110/s110040/s11004082.png ; $\phi ( T _ { X } N ) \subset T _ { X } N$ ; confidence 0.941
+
148. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026460/c02646046.png ; $\{ x _ { k } \}$ ; confidence 0.963
  
149. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001034.png ; $SO ( 3 )$ ; confidence 0.940
+
149. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038390/f038390108.png ; $q ( m ) = ( m ^ { p - 1 } - 1 ) / p$ ; confidence 0.963
  
150. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040080/f04008010.png ; $F ^ { * } ( \theta | x ) = 1 - F ( x | \theta )$ ; confidence 0.940
+
150. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120020/h120020104.png ; $P _ { - } \phi \in B _ { p } ^ { 1 / p }$ ; confidence 0.963
  
151. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067860/n067860258.png ; $V \subset \rho U$ ; confidence 0.940
+
151. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065140/m06514041.png ; $S _ { n }$ ; confidence 0.963
  
152. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024110/c02411026.png ; $d = ( d _ { n } )$ ; confidence 0.939
+
152. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091070/s09107089.png ; $P _ { \theta } ( A | B )$ ; confidence 0.963
  
153. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050770/i05077064.png ; $A = \operatorname { lim } _ { \rightarrow } F ( D )$ ; confidence 0.939
+
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
  
154. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120260/s12026061.png ; $\partial _ { s }$ ; confidence 0.939
+
154. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240529.png ; $R$ ; confidence 0.962
  
155. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a01024073.png ; $\omega P _ { i } P _ { j }$ ; confidence 0.938
+
155. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010278.png ; $X$ ; confidence 0.962
  
156. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130220/b13022030.png ; $L _ { p } ( T )$ ; confidence 0.938
+
156. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110660/b11066023.png ; $L _ { p } ( R )$ ; confidence 0.962
  
157. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081770/r08177046.png ; $x ^ { T } ( t _ { 1 } ) \Phi x ( t _ { 1 } ) + \int _ { t _ { 0 } } ^ { t _ { 1 } } [ x ^ { T } ( t ) M ( t ) x ( t ) + u ^ { T } ( t ) N ( t ) u ( t ) ] d t$ ; confidence 0.938
+
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
  
158. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b0153903.png ; $( \Theta , B _ { \Theta } )$ ; confidence 0.937
+
158. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035550/e03555028.png ; $y ^ { 2 } = x ^ { 3 } - g x - g$ ; confidence 0.962
  
159. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010141.png ; $7$ ; confidence 0.937
+
159. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040690/f04069072.png ; $\alpha _ { \alpha } ^ { * } ( f ) \Omega = f$ ; confidence 0.962
  
160. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044970/g04497028.png ; $E ^ { n } \times R$ ; confidence 0.937
+
160. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059410/l05941048.png ; $Q _ { 3 } ( b )$ ; confidence 0.962
  
161. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070290/o07029017.png ; $\Delta = \alpha _ { 2 } c ( b ) - \beta _ { 2 } s ( b ) \neq 0$ ; confidence 0.937
+
161. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081390/r08139031.png ; $v _ { 2 } \in V _ { 2 }$ ; confidence 0.962
  
162. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072950/p07295010.png ; $w ( z ) = \int _ { \gamma } ( t - z ) ^ { \mu + n - 1 } u ( t ) d t$ ; confidence 0.937
+
162. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090830/s0908308.png ; $m : B \rightarrow A$ ; confidence 0.962
  
163. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075800/p07580013.png ; $\square ^ { n - 1 } R _ { n }$ ; confidence 0.937
+
163. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t120060116.png ; $E ^ { Q } ( N )$ ; confidence 0.962
  
164. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082040/r08204012.png ; $a _ { 0 } ( z ) \neq 0$ ; confidence 0.937
+
164. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120150/t1201505.png ; $\eta \in A \mapsto \xi \eta \in A$ ; confidence 0.962
  
165. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024025.png ; $y , \beta , e$ ; confidence 0.936
+
165. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240200.png ; $H : X _ { 3 } \beta = 0$ ; confidence 0.961
  
166. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420154.png ; $K _ { 0 }$ ; confidence 0.936
+
166. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240261.png ; $\psi = \sum _ { i = 1 } ^ { q } d _ { i } \zeta _ { i }$ ; confidence 0.961
  
167. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040196.png ; $\varphi _ { L } : A \rightarrow P ^ { 4 }$ ; confidence 0.936
+
167. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027620/c0276205.png ; $F \in L ^ { * }$ ; confidence 0.961
  
168. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020650/c0206506.png ; $1 / \mu = d S / d \sigma$ ; confidence 0.936
+
168. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120050/k1200504.png ; $B = \sum _ { j = 1 } ^ { t } b _ { j } B _ { j }$ ; confidence 0.961
  
169. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120270/c1202706.png ; $t \mapsto \gamma ( t ) = \operatorname { exp } _ { p } ( t v )$ ; confidence 0.936
+
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
  
170. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064990/m06499012.png ; $f : M \rightarrow R$ ; confidence 0.936
+
170. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064700/m0647004.png ; $\alpha = \gamma ( 0 )$ ; confidence 0.961
  
171. https://www.encyclopediaofmath.org/legacyimages/o/o130/o130010/o13001044.png ; $F : L ^ { 2 } ( D ^ { \prime } ) \rightarrow L ^ { 2 } ( R ^ { 3 } )$ ; confidence 0.936
+
171. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240105.png ; $y$ ; confidence 0.961
  
172. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070010/o07001011.png ; $G / G _ { X }$ ; confidence 0.936
+
172. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021010.png ; $\omega = p d z = p ( z ) d z$ ; confidence 0.960
  
173. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120080/t12008015.png ; $O _ { S } ^ { * }$ ; confidence 0.936
+
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
  
174. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096670/v09667018.png ; $P ^ { 2 r - k }$ ; confidence 0.936
+
174. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230111.png ; $E ( L )$ ; confidence 0.960
  
175. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130150/c1301504.png ; $C ^ { \infty } ( D ( \Omega ) )$ ; confidence 0.935
+
175. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130090/h13009043.png ; $g _ { i } \in A$ ; confidence 0.960
  
176. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073330/p07333012.png ; $d S _ { n }$ ; confidence 0.935
+
176. https://www.encyclopediaofmath.org/legacyimages/x/x120/x120020/x12002033.png ; $D ( R )$ ; confidence 0.960
  
177. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a13024059.png ; $( i , j )$ ; confidence 0.935
+
177. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010161.png ; $k ^ { 2 } ( A )$ ; confidence 0.959
  
178. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020230/c02023043.png ; $X \backslash K _ { X }$ ; confidence 0.934
+
178. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040052.png ; $\mathfrak { h } \subset \mathfrak { g }$ ; confidence 0.959
  
179. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120300/d1203009.png ; $Y ( t ) \in R ^ { m }$ ; confidence 0.934
+
179. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130270/b1302706.png ; $Q ( H ) = B ( H ) / K ( H )$ ; confidence 0.959
  
180. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040850/f040850122.png ; $A \rightarrow w$ ; confidence 0.934
+
180. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050730/i05073063.png ; $K \subset H$ ; confidence 0.959
  
181. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044350/g04435074.png ; $d ( \Lambda ) = \Delta ( \mathfrak { M } )$ ; confidence 0.934
+
181. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051000/i05100028.png ; $- \infty < a < + \infty$ ; confidence 0.959
  
182. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110200/h11020058.png ; $\Psi ( y _ { n } ) \subseteq \Psi ( y _ { 0 } )$ ; confidence 0.934
+
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
  
183. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060830/l06083045.png ; $b \in Q$ ; confidence 0.934
+
183. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001095.png ; $\operatorname { dim } ( S ) = 4 n + 3$ ; confidence 0.958
  
184. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013054.png ; $t _ { n }$ ; confidence 0.933
+
184. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240330.png ; $( p \times p _ { 1 } )$ ; confidence 0.958
  
185. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026870/c026870129.png ; $( \nabla _ { X } U ) _ { p }$ ; confidence 0.933
+
185. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011780/a01178066.png ; $p \in C$ ; confidence 0.958
  
186. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032060/d03206019.png ; $\sum _ { n = 1 } ^ { \infty } | x _ { n } ( t ) |$ ; confidence 0.933
+
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
  
187. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120030/k12003036.png ; $F _ { M } : G \rightarrow C ^ { * }$ ; confidence 0.933
+
187. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023094.png ; $\sigma ^ { k } : M \rightarrow E ^ { k }$ ; confidence 0.958
  
188. https://www.encyclopediaofmath.org/legacyimages/o/o120/o120020/o1200204.png ; $\alpha = 1 / 2$ ; confidence 0.933
+
188. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062550/m06255050.png ; $0 \leq w \leq v$ ; confidence 0.958
  
189. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087780/s08778069.png ; $x [ M ^ { n } ] = \alpha ( x )$ ; confidence 0.933
+
189. https://www.encyclopediaofmath.org/legacyimages/o/o110/o110030/o11003037.png ; $K _ { \omega }$ ; confidence 0.958
  
190. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001038.png ; $\eta ^ { \alpha } ( Y ) = g ( \xi ^ { \alpha } , Y )$ ; confidence 0.932
+
190. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073270/p07327037.png ; $q ^ { ( n ) } = d ^ { n } q / d x ^ { n }$ ; confidence 0.958
  
191. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013046.png ; $\frac { \partial } { \partial t _ { k } } F _ { i j } = \frac { \partial } { \partial t _ { i } } F _ { j k }$ ; confidence 0.932
+
191. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074160/p07416055.png ; $\rho = | y |$ ; confidence 0.958
  
192. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020950/c0209509.png ; $u ( x _ { 0 } ) = u _ { 0 }$ ; confidence 0.932
+
192. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086810/s086810108.png ; $W _ { p } ^ { m } ( I ^ { d } )$ ; confidence 0.958
  
193. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130040/r13004063.png ; $u _ { 1 } = | \frac { \partial u } { \partial n } | = 0$ ; confidence 0.932
+
193. https://www.encyclopediaofmath.org/legacyimages/x/x120/x120010/x12001022.png ; $\sigma \in \operatorname { Aut } ( R )$ ; confidence 0.958
  
194. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130130/r13013012.png ; $P _ { \sigma } = \frac { 1 } { 2 \pi i } \int _ { \Gamma } ( \lambda - A ) ^ { - 1 } d \lambda$ ; confidence 0.932
+
194. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240365.png ; $( p \times p )$ ; confidence 0.958
  
195. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091390/s0913909.png ; $\frac { x ^ { 2 } } { p } - \frac { y ^ { 2 } } { q } = 2 z$ ; confidence 0.932
+
195. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a01165079.png ; $H$ ; confidence 0.957
  
196. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t12005046.png ; $d f _ { x } : R ^ { n } \rightarrow R ^ { p }$ ; confidence 0.932
+
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
  
197. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110160/b11016019.png ; $f ( x ) = a x + b$ ; confidence 0.931
+
197. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023110/c023110101.png ; $Z G$ ; confidence 0.957
  
198. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110330/c1103309.png ; $p _ { i } \in S$ ; confidence 0.931
+
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
  
199. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091100/s0911009.png ; $\lambda _ { n } = 1 / ( n + 1 ) ^ { s }$ ; confidence 0.931
+
199. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033530/d033530372.png ; $d _ { n } \ll p _ { n } ^ { \theta }$ ; confidence 0.957
  
200. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150306.png ; $= C$ ; confidence 0.931
+
200. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f1202105.png ; $| z | < r$ ; confidence 0.957
  
201. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010640/a01064020.png ; $d ( m )$ ; confidence 0.930
+
201. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110220/m11022016.png ; $\lambda ^ { * } \in R ^ { m }$ ; confidence 0.957
  
202. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021720/c02172031.png ; $b _ { k } ^ { \prime } = ( - 1 ) ^ { k + 1 } b _ { k }$ ; confidence 0.930
+
202. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072430/p0724307.png ; $\epsilon \ll 1$ ; confidence 0.957
  
203. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023890/c02389043.png ; $\{ d F _ { i } \} _ { 1 } ^ { m }$ ; confidence 0.930
+
203. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090760/s09076026.png ; $L _ { 0 } ^ { * } = L _ { 1 }$ ; confidence 0.957
  
204. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047740/h04774059.png ; $0 \rightarrow A ^ { \prime } \rightarrow A \rightarrow A ^ { \prime \prime } \rightarrow 0$ ; confidence 0.930
+
204. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130050/v130050114.png ; $1 _ { n } ( w ) = 0$ ; confidence 0.957
  
205. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110110/m11011038.png ; $\square _ { q } F _ { p - 1 }$ ; confidence 0.930
+
205. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009092.png ; $f \in B ( m / n )$ ; confidence 0.956
  
206. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110130/m11013015.png ; $E S$ ; confidence 0.930
+
206. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017800/b01780036.png ; $d \geq n$ ; confidence 0.956
  
207. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064190/m064190102.png ; $u | _ { \Gamma } = \psi$ ; confidence 0.930
+
207. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031850/d03185095.png ; $x \neq \pm 1$ ; confidence 0.956
  
208. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094530/t094530109.png ; $\sum ( k _ { i } - 1 )$ ; confidence 0.930
+
208. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120130/f12013083.png ; $| \Phi ( G )$ ; confidence 0.956
  
209. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130100/z13010033.png ; $\forall y ( \neg y \in x )$ ; confidence 0.930
+
209. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003048.png ; $I _ { U } = \{ ( u _ { \lambda } ) _ { \lambda \in \Lambda }$ ; confidence 0.956
  
210. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a1202208.png ; $| x | | \leq 1$ ; confidence 0.929
+
210. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048390/h04839015.png ; $U ^ { ( 2 ) }$ ; confidence 0.956
  
211. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008058.png ; $X \leftarrow m + s ( U _ { 1 } + U _ { 2 } - 1 )$ ; confidence 0.929
+
211. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110020/l11002085.png ; $x \preceq y$ ; confidence 0.956
  
212. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081460/r081460129.png ; $V _ { \lambda } ^ { 0 } \subset V _ { \lambda }$ ; confidence 0.929
+
212. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130100/r13010034.png ; $D _ { n }$ ; confidence 0.956
  
213. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120190/w12019047.png ; $P = - i \hbar \nabla _ { x }$ ; confidence 0.929
+
213. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087110/s08711028.png ; $\delta < \alpha$ ; confidence 0.956
  
214. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110490/b1104909.png ; $P _ { 1 }$ ; confidence 0.928
+
214. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110210.png ; $G = G ^ { \sigma }$ ; confidence 0.956
  
215. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080060/r080060177.png ; $\{ r _ { n } + r _ { n } ^ { \prime } \}$ ; confidence 0.928
+
215. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010297.png ; $F ( A ) = e ^ { A }$ ; confidence 0.956
  
216. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093230/t09323071.png ; $X \rightarrow P L / O$ ; confidence 0.928
+
216. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030790/d0307909.png ; $\lambda ^ { m }$ ; confidence 0.955
  
217. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065300/m06530022.png ; $\otimes _ { i = 1 } ^ { n } E _ { i } \rightarrow F$ ; confidence 0.927
+
217. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038470/f03847048.png ; $\tau _ { 0 } = 0$ ; confidence 0.955
  
218. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055520/k055520124.png ; $\frac { 1 } { 2 \pi } \{ \text { hyperbolic area of } \Omega \backslash \Gamma \} \leq 2 ( N - 1 )$ ; confidence 0.926
+
218. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044770/g04477022.png ; $[ \Psi / \Phi ] \Phi$ ; confidence 0.955
  
219. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130620/s13062062.png ; $m _ { 0 } ( \lambda ) = A + \int _ { - \infty } ^ { \infty } ( \frac { 1 } { t - \lambda } - \frac { t } { t ^ { 2 } + 1 } ) d \rho _ { 0 } ( t )$ ; confidence 0.926
+
219. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h046420157.png ; $d g = d h d k$ ; confidence 0.955
  
220. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067430/n06743015.png ; $\sum _ { k = 1 } ^ { \infty } \| u _ { k } \| = \sum _ { k = 1 } ^ { \infty } 1 / k$ ; confidence 0.925
+
220. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110020/i11002068.png ; $( \lambda \odot \mu ) \odot v = \lambda \odot ( \mu \odot v )$ ; confidence 0.955
  
221. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076820/q076820199.png ; $f ( \xi _ { T } ( t ) )$ ; confidence 0.925
+
221. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q07631081.png ; $H _ { i } \in \mathfrak { g }$ ; confidence 0.955
  
222. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420150.png ; $K _ { 0 } ( \varphi )$ ; confidence 0.924
+
222. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010192.png ; $T ^ { - 1 } A T = \Lambda$ ; confidence 0.955
  
223. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022330/c0223301.png ; $a ( r )$ ; confidence 0.924
+
223. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018024.png ; $\sigma > \sigma 0$ ; confidence 0.954
  
224. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043280/g04328069.png ; $H _ { i } ( x ^ { \prime } ) > H _ { i } ( x ^ { \prime \prime } )$ ; confidence 0.924
+
224. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110490/a1104901.png ; $D = d / d t$ ; confidence 0.954
  
225. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062560/m06256075.png ; $K _ { y } ^ { \alpha }$ ; confidence 0.924
+
225. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110200/c11020072.png ; $\lambda \in \Lambda$ ; confidence 0.954
  
226. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420134.png ; $K _ { 0 } ( I ) \rightarrow K _ { 0 } ( A )$ ; confidence 0.923
+
226. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032240/d03224071.png ; $d \omega = d \square ^ { * } \omega = 0$ ; confidence 0.954
  
227. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046010/h046010125.png ; $M _ { 2 } \times S ^ { N }$ ; confidence 0.923
+
227. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e036960205.png ; $\nu - 1 / 2 \in Z$ ; confidence 0.954
  
228. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048190/h0481908.png ; $\nu = 0$ ; confidence 0.923
+
228. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g04509046.png ; $y ( \alpha ) = 0$ ; confidence 0.954
  
229. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130070/j13007031.png ; $L = \angle \operatorname { lim } _ { z \rightarrow \omega } f ( z )$ ; confidence 0.923
+
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
  
230. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120170/p12017067.png ; $I$ ; confidence 0.923
+
230. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092730/t09273032.png ; $M = M _ { 1 } \# M _ { 2 }$ ; confidence 0.954
  
231. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085560/s0855608.png ; $| \sigma ^ { n } |$ ; confidence 0.923
+
231. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095230/u09523081.png ; $\{ d f _ { n } / d x \}$ ; confidence 0.954
  
232. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090170/s09017045.png ; $E$ ; confidence 0.923
+
232. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b120150110.png ; $d : N \cup \{ 0 \} \rightarrow R$ ; confidence 0.953
  
233. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150395.png ; $A \wedge B$ ; confidence 0.923
+
233. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031280/d03128063.png ; $s ^ { \prime } : Y ^ { \prime } \rightarrow X ^ { \prime }$ ; confidence 0.953
  
234. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110420/b11042025.png ; $V _ { k } \varphi ( x ) = \varphi ( x - h )$ ; confidence 0.922
+
234. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037080/e03708021.png ; $r > n$ ; confidence 0.953
  
235. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780128.png ; $\Omega _ { fr } ^ { - i } = \Omega _ { i } ^ { fr } = \pi _ { i + N } ( S ^ { N } )$ ; confidence 0.922
+
235. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047390/h047390181.png ; $V = V ^ { + } \oplus V ^ { - }$ ; confidence 0.953
  
236. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110160/f110160161.png ; $\mathfrak { A } \sim _ { l } \mathfrak { B }$ ; confidence 0.922
+
236. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130070/i13007010.png ; $q ( x ) \in L ^ { 2 } \operatorname { loc } ( R ^ { 3 } )$ ; confidence 0.953
  
237. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110610/a110610104.png ; $Z = \int _ { A } D A \sqrt { \operatorname { det } ( / \partial _ { A } ^ { * } / \partial _ { A } ) } \operatorname { exp } [ - \| F \| ^ { 2 } ]$ ; confidence 0.921
+
237. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060220/l0602207.png ; $\in \Theta$ ; confidence 0.953
  
238. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034280/d03428088.png ; $S _ { g } ( w _ { 0 } )$ ; confidence 0.921
+
238. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120190/l12019039.png ; $x = - \sum _ { k = 0 } ^ { \infty } ( A ^ { * } ) ^ { k } C ( A ) ^ { k }$ ; confidence 0.953
  
239. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051360/i0513609.png ; $\int f _ { 1 } ( x ) d x \quad \text { and } \quad \int f _ { 2 } ( x ) d x$ ; confidence 0.921
+
239. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093900/t093900154.png ; $g _ { k } = ( 1 + y _ { k } ) / 2$ ; confidence 0.953
  
240. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110160/l11016049.png ; $n ^ { O ( n ) } M ^ { O ( 1 ) }$ ; confidence 0.921
+
240. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010151.png ; $k ( A ) = \| A \| _ { 2 } \| A ^ { + } \| _ { 2 }$ ; confidence 0.953
  
241. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010124.png ; $b _ { 2 } i + 1 ( S ) = 0$ ; confidence 0.920
+
241. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240135.png ; $A$ ; confidence 0.952
  
242. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017290/b0172908.png ; $\Gamma \subset M _ { A }$ ; confidence 0.920
+
242. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010282.png ; $A _ { i } \in R ^ { n \times n }$ ; confidence 0.952
  
243. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035760/e0357604.png ; $f : W \rightarrow R$ ; confidence 0.920
+
243. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d03070037.png ; $\pi ^ { \prime } : X ^ { \prime } \rightarrow S ^ { \prime }$ ; confidence 0.952
  
244. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110150/p1101505.png ; $x \preceq y \Rightarrow z x t \preceq x y t$ ; confidence 0.920
+
244. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047210/h0472103.png ; $C$ ; confidence 0.952
  
245. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031250/d03125086.png ; $\Omega _ { X / Y } ^ { 1 }$ ; confidence 0.919
+
245. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051090/i05109035.png ; $\Theta$ ; confidence 0.952
  
246. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036840/e03684025.png ; $A = \operatorname { lim } _ { n \rightarrow \infty } C _ { n } = ( 1 + \frac { 1 } { 4 } + \frac { 1 } { 16 } + \ldots ) C _ { 1 } = \frac { 4 } { 3 } C _ { 1 }$ ; confidence 0.919
+
246. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051430/i05143058.png ; $| \lambda | < 1 / M ( b - \alpha )$ ; confidence 0.952
  
247. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057150/l05715028.png ; $3 N + k + m$ ; confidence 0.919
+
247. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j13004079.png ; $s ( L ) \geq ( E - e ) / 2$ ; confidence 0.952
  
248. https://www.encyclopediaofmath.org/legacyimages/p/p110/p110120/p110120428.png ; $P _ { n } ( f )$ ; confidence 0.919
+
248. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064870/m06487010.png ; $\xi = x _ { m }$ ; confidence 0.952
  
249. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t12006058.png ; $N \geq Z$ ; confidence 0.919
+
249. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420125.png ; $( K _ { 0 } ( A ) , K _ { 0 } ( A ) ^ { + } )$ ; confidence 0.951
  
250. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013180/a013180158.png ; $\| T _ { M } \|$ ; confidence 0.918
+
250. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310112.png ; $M ( C ( S ) , \alpha _ { 1 } , G _ { 1 } )$ ; confidence 0.951
  
251. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110130/c11013026.png ; $f \in C ^ { k }$ ; confidence 0.918
+
251. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001061.png ; $\Gamma \subset SU ( 2 )$ ; confidence 0.951
  
252. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026480/c0264808.png ; $\alpha _ { i } : A _ { i } \rightarrow X$ ; confidence 0.918
+
252. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015110/b01511064.png ; $\mu = \delta _ { X }$ ; confidence 0.951
  
253. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031930/d031930232.png ; $= \Phi ( z ) \operatorname { exp } \{ \frac { z - t } { \pi } \int \int _ { S } \frac { A ( \zeta ) w ( \zeta ) + B ( \zeta ) \overline { w ( \zeta ) } } { ( \zeta - z ) ( \zeta - t ) w } d \xi d \eta \}$ ; confidence 0.918
+
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
  
254. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038220/f0382203.png ; $K _ { X } ^ { - 1 }$ ; confidence 0.918
+
254. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022700/c02270026.png ; $g : Y \rightarrow Z$ ; confidence 0.951
  
255. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080020/r080020171.png ; $P - N \equiv ( \frac { m _ { 1 } } { 2 } ) ^ { 2 } \pm 1 \operatorname { mod } 8$ ; confidence 0.918
+
255. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130230/m130230127.png ; $\phi : X ^ { \prime } \rightarrow Y$ ; confidence 0.951
  
256. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240506.png ; $Z _ { 32 } , Z _ { 33 }$ ; confidence 0.917
+
256. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074010/p07401072.png ; $F _ { 5 } ^ { \mu } = C _ { 4 } \cap F _ { 8 } ^ { \mu }$ ; confidence 0.951
  
257. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240518.png ; $Z _ { 12 }$ ; confidence 0.917
+
257. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006083.png ; $\overline { H }$ ; confidence 0.950
  
258. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120270/b12027050.png ; $U ( t ) = \sum _ { 1 } ^ { \infty } P ( S _ { k } \leq t ) = \sum _ { 1 } ^ { \infty } F ^ { ( k ) } ( t )$ ; confidence 0.917
+
258. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120300/b12030013.png ; $q \in Z ^ { N }$ ; confidence 0.950
  
259. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016970/b01697035.png ; $t _ { f } ( n )$ ; confidence 0.917
+
259. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031010/d03101088.png ; $S ^ { 4 k - 1 }$ ; confidence 0.950
  
260. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032450/d032450444.png ; $X _ { 1 } \cup X _ { 2 } = X$ ; confidence 0.917
+
260. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120010/h12001013.png ; $X ^ { ( r ) } \rightarrow V$ ; confidence 0.950
  
261. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010109.png ; $m > 3$ ; confidence 0.916
+
261. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055820/k0558203.png ; $\square ^ { 1 } S _ { 2 } ( i )$ ; confidence 0.950
  
262. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010133.png ; $S ( p ) = U ( 1 ) _ { p } \backslash U ( n + 2 ) / U ( n )$ ; confidence 0.916
+
262. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067080/n06708018.png ; $y ^ { * } = \alpha ( g ^ { * } )$ ; confidence 0.950
  
263. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023620/c0236203.png ; $| \alpha ( z ) |$ ; confidence 0.916
+
263. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091960/s0919603.png ; $R = \{ \pi ( i ) : \square i \in I \}$ ; confidence 0.950
  
264. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054070/j05407010.png ; $w _ { 1 } = w _ { 1 } ( z _ { 1 } )$ ; confidence 0.916
+
264. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096380/v09638042.png ; $G ^ { k } ( V ) \times V$ ; confidence 0.950
  
265. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110960/b11096026.png ; $\nu : Z ( K ) \rightarrow V \subset \operatorname { Aff } ( A )$ ; confidence 0.915
+
265. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110790/a11079027.png ; $M \subset G$ ; confidence 0.949
  
266. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025440/c02544057.png ; $\forall x \in D _ { k } : \mu _ { k } \Delta u + ( \lambda _ { k } + \mu _ { k } ) \text { grad div } u = 0$ ; confidence 0.915
+
266. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539050.png ; $\theta = \theta _ { i }$ ; confidence 0.949
  
267. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046600/h0466006.png ; $\{ x : | x - y | < r \}$ ; confidence 0.915
+
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
  
268. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057780/l057780212.png ; $31$ ; confidence 0.915
+
268. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110170/c1101705.png ; $D _ { p }$ ; confidence 0.949
  
269. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120220/a12022011.png ; $X = 1 ^ { p }$ ; confidence 0.914
+
269. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035550/e035550128.png ; $\alpha ( X ) = \operatorname { tr } \operatorname { deg } M ( X )$ ; confidence 0.949
  
270. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240328.png ; $H : X _ { 3 } B X _ { 4 } = 0$ ; confidence 0.914
+
270. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094540/t09454051.png ; $\{ \omega _ { n } ^ { + } ( V ) \}$ ; confidence 0.949
  
271. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120370/b12037030.png ; $h \in \Omega$ ; confidence 0.914
+
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
  
272. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b01747053.png ; $\Pi ^ { \prime \prime }$ ; confidence 0.914
+
272. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010101.png ; $Z = G / U ( 1 ) . K$ ; confidence 0.948
  
273. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120020/e12002045.png ; $T$ ; confidence 0.914
+
273. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001064.png ; $s ^ { 3 }$ ; confidence 0.948
  
274. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120150/e12015064.png ; $P _ { 1 } ^ { 1 } = \frac { 1 } { 4 } p ^ { 2 } + \frac { 1 } { 2 } \dot { p } - q = I$ ; confidence 0.914
+
274. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120140/b12014039.png ; $a ( z )$ ; confidence 0.948
  
275. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043350/g04335040.png ; $\frac { \pi \psi } { Q } = - \theta - \sum _ { n = 1 } ^ { \infty } \frac { 1 } { n } ( \frac { \tau } { \tau _ { 0 } } ) ^ { n } \frac { y _ { n } ( \tau ) } { y _ { n } ( \tau _ { 0 } ) } \operatorname { sin } 2 n \theta$ ; confidence 0.914
+
275. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016970/b0169702.png ; $x ^ { \sigma } = x$ ; confidence 0.948
  
276. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082110/r0821106.png ; $d s ^ { 2 } = g _ { j } \omega ^ { i } \omega ^ { j }$ ; confidence 0.914
+
276. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032130/d032130311.png ; $\omega \in \Omega ^ { d } [ X ]$ ; confidence 0.948
  
277. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024730/c02473061.png ; $\Omega ^ { \prime } = \| \Omega _ { \alpha } ^ { \prime \beta } \|$ ; confidence 0.913
+
277. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i050230228.png ; $D _ { j } ^ { l } f \in L _ { p } ( R ^ { n } )$ ; confidence 0.948
  
278. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043470/g04347036.png ; $0 \rightarrow \phi ^ { 1 } / \phi ^ { 2 } \rightarrow \phi ^ { 0 } / \phi ^ { 2 } \rightarrow \phi ^ { 0 } / \phi ^ { 1 } \rightarrow 0$ ; confidence 0.913
+
278. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064420/m06442050.png ; $k = m / 2$ ; confidence 0.948
  
279. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060530/l0605309.png ; $h _ { U } = \phi _ { U } ^ { - 1 }$ ; confidence 0.912
+
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
  
280. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007057.png ; $A _ { \alpha } ( x ) = o ( \frac { x } { \operatorname { log } x } )$ ; confidence 0.911
+
280. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013030.png ; $( \partial / \partial x ) - P _ { 0 } z$ ; confidence 0.947
  
281. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032130/d032130352.png ; $s ^ { \prime } ( \Omega ^ { r } ( X ) )$ ; confidence 0.911
+
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
  
282. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f12021085.png ; $\lambda = \lambda _ { j }$ ; confidence 0.911
+
282. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012090/a0120907.png ; $\alpha \neq 0$ ; confidence 0.947
  
283. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082160/r082160280.png ; $\gamma : M ^ { n } \rightarrow M ^ { n }$ ; confidence 0.911
+
283. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022450/c0224501.png ; $x ( t ) : R \rightarrow R ^ { n }$ ; confidence 0.947
  
284. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130070/w13007023.png ; $\beta$ ; confidence 0.911
+
284. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780210.png ; $x _ { i } / ( e ^ { x _ { i } } - 1 )$ ; confidence 0.947
  
285. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013037.png ; $SL _ { 2 } ( C )$ ; confidence 0.910
+
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
  
286. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008083.png ; $X \leftarrow ( U - 1 / 2 ) / ( \sqrt { ( U - U ^ { 2 } ) } / 2 )$ ; confidence 0.910
+
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
  
287. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074710/p074710106.png ; $P \rightarrow e$ ; confidence 0.910
+
287. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041160/f04116031.png ; $\alpha = - b$ ; confidence 0.947
  
288. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b01747067.png ; $\omega ^ { - 1 }$ ; confidence 0.909
+
288. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840272.png ; $E ( \Delta ) K \subset D ( A )$ ; confidence 0.947
  
289. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h046420200.png ; $F ( \phi ) \in A ( \hat { G } )$ ; confidence 0.909
+
289. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068500/o06850051.png ; $\sigma \leq t \leq \theta$ ; confidence 0.947
  
290. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096770/v0967704.png ; $F : \Omega \times R ^ { n } \times R ^ { n } \times S ^ { n } \rightarrow R$ ; confidence 0.909
+
290. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080180/r0801808.png ; $t _ { k } \in R$ ; confidence 0.947
  
291. https://www.encyclopediaofmath.org/legacyimages/w/w130/w130090/w13009053.png ; $\| \varphi \| _ { L ^ { 2 } ( \mu ) } = \sqrt { n ! } | f | _ { H ^ { \otimes n } }$ ; confidence 0.909
+
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
  
292. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130020/b13002056.png ; $x \in J$ ; confidence 0.908
+
292. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001029.png ; $C ( S )$ ; confidence 0.946
  
293. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026600/c026600121.png ; $\operatorname { lm } z ( x ) = 1$ ; confidence 0.908
+
293. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240218.png ; $z = \Gamma y$ ; confidence 0.946
  
294. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130070/e1300704.png ; $S = o ( \# A )$ ; confidence 0.908
+
294. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015380/b0153803.png ; $A _ { i } \Gamma \cap A _ { j } = \emptyset$ ; confidence 0.946
  
295. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020080.png ; $6$ ; confidence 0.907
+
295. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050030/i050030120.png ; $A \backslash I$ ; confidence 0.946
  
296. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120240/e12024025.png ; $K ( L )$ ; confidence 0.907
+
296. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130040/i1300404.png ; $\sum _ { k = 1 } ^ { \infty } b _ { k } \operatorname { sin } k x$ ; confidence 0.946
  
297. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047730/h04773077.png ; $\beta ^ { s - k } z ^ { \prime }$ ; confidence 0.907
+
297. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093900/t093900196.png ; $T _ { 23 } n ( \operatorname { cos } \pi \omega )$ ; confidence 0.946
  
298. https://www.encyclopediaofmath.org/legacyimages/p/p120/p120140/p12014048.png ; $E = E$ ; confidence 0.907
+
298. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096350/v0963509.png ; $( a + b ) + c = a + ( b + c )$ ; confidence 0.946
  
299. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130010/a1300109.png ; $s = s ( ( A ^ { * } ) ^ { ( B ^ { * } ) } , ( B ^ { * } ) ^ { ( C ^ { * } ) } )$ ; confidence 0.907
+
299. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240417.png ; $( n - r ) ^ { - 1 } M _ { E }$ ; confidence 0.945
  
300. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013052.png ; $q ^ { ( l + 1 ) } = - ( q ^ { ( l ) } ) ^ { 2 } r ^ { ( l ) } + q ^ { ( l ) } \operatorname { log } ( q ^ { ( l ) } ) , r ^ { ( l + 1 ) } = \frac { 1 } { q ^ { ( l ) } }$ ; confidence 0.906
+
300. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240213.png ; $7$ ; confidence 0.945

Revision as of 10:05, 2 September 2019

List

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

67. 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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

122. 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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

140. 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

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

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

143. 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

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

145. a01300068.png ; $P _ { 0 } ( z )$ ; confidence 0.963

146. c020280177.png ; $\underline { C } ( E ) = \operatorname { sup } C ( K )$ ; confidence 0.963

147. c02572035.png ; $B \circ A$ ; confidence 0.963

148. c02646046.png ; $\{ x _ { k } \}$ ; confidence 0.963

149. f038390108.png ; $q ( m ) = ( m ^ { p - 1 } - 1 ) / p$ ; confidence 0.963

150. h120020104.png ; $P _ { - } \phi \in B _ { p } ^ { 1 / p }$ ; confidence 0.963

151. m06514041.png ; $S _ { n }$ ; confidence 0.963

152. s09107089.png ; $P _ { \theta } ( A | B )$ ; confidence 0.963

153. a13013028.png ; $\phi _ { - } ( x , t , z ) = \operatorname { exp } ( \sum _ { i = 1 } ^ { \infty } \chi _ { i } ( x , t ) z ^ { - i } )$ ; confidence 0.963

154. a130240529.png ; $R$ ; confidence 0.962

155. a110010278.png ; $X$ ; confidence 0.962

156. b11066023.png ; $L _ { p } ( R )$ ; confidence 0.962

157. c1300407.png ; $\operatorname { log } \Gamma ( z ) = \int _ { 1 } ^ { z } \psi ( t ) d t$ ; confidence 0.962

158. e03555028.png ; $y ^ { 2 } = x ^ { 3 } - g x - g$ ; confidence 0.962

159. f04069072.png ; $\alpha _ { \alpha } ^ { * } ( f ) \Omega = f$ ; confidence 0.962

160. l05941048.png ; $Q _ { 3 } ( b )$ ; confidence 0.962

161. r08139031.png ; $v _ { 2 } \in V _ { 2 }$ ; confidence 0.962

162. s0908308.png ; $m : B \rightarrow A$ ; confidence 0.962

163. t120060116.png ; $E ^ { Q } ( N )$ ; confidence 0.962

164. t1201505.png ; $\eta \in A \mapsto \xi \eta \in A$ ; confidence 0.962

165. a130240200.png ; $H : X _ { 3 } \beta = 0$ ; confidence 0.961

166. a130240261.png ; $\psi = \sum _ { i = 1 } ^ { q } d _ { i } \zeta _ { i }$ ; confidence 0.961

167. c0276205.png ; $F \in L ^ { * }$ ; confidence 0.961

168. k1200504.png ; $B = \sum _ { j = 1 } ^ { t } b _ { j } B _ { j }$ ; confidence 0.961

169. l0581405.png ; $s = \int _ { a } ^ { b } \sqrt { 1 + [ f ^ { \prime } ( x ) ] ^ { 2 } } d x$ ; confidence 0.961

170. m0647004.png ; $\alpha = \gamma ( 0 )$ ; confidence 0.961

171. a130240105.png ; $y$ ; confidence 0.961

172. a01021010.png ; $\omega = p d z = p ( z ) d z$ ; confidence 0.960

173. c02683020.png ; $\sum _ { 2 } = \sum _ { \nu \in \langle \nu \rangle } U _ { 2 } ( n - D \nu )$ ; confidence 0.960

174. e120230111.png ; $E ( L )$ ; confidence 0.960

175. h13009043.png ; $g _ { i } \in A$ ; confidence 0.960

176. x12002033.png ; $D ( R )$ ; confidence 0.960

177. a110010161.png ; $k ^ { 2 } ( A )$ ; confidence 0.959

178. b12040052.png ; $\mathfrak { h } \subset \mathfrak { g }$ ; confidence 0.959

179. b1302706.png ; $Q ( H ) = B ( H ) / K ( H )$ ; confidence 0.959

180. i05073063.png ; $K \subset H$ ; confidence 0.959

181. i05100028.png ; $- \infty < a < + \infty$ ; confidence 0.959

182. 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

183. t12001095.png ; $\operatorname { dim } ( S ) = 4 n + 3$ ; confidence 0.958

184. a130240330.png ; $( p \times p _ { 1 } )$ ; confidence 0.958

185. a01178066.png ; $p \in C$ ; confidence 0.958

186. d031850109.png ; $( \frac { u } { v } ) ^ { \prime } = \frac { u ^ { \prime } v - u v ^ { \prime } } { v ^ { 2 } }$ ; confidence 0.958

187. e12023094.png ; $\sigma ^ { k } : M \rightarrow E ^ { k }$ ; confidence 0.958

188. m06255050.png ; $0 \leq w \leq v$ ; confidence 0.958

189. o11003037.png ; $K _ { \omega }$ ; confidence 0.958

190. p07327037.png ; $q ^ { ( n ) } = d ^ { n } q / d x ^ { n }$ ; confidence 0.958

191. p07416055.png ; $\rho = | y |$ ; confidence 0.958

192. s086810108.png ; $W _ { p } ^ { m } ( I ^ { d } )$ ; confidence 0.958

193. x12001022.png ; $\sigma \in \operatorname { Aut } ( R )$ ; confidence 0.958

194. a130240365.png ; $( p \times p )$ ; confidence 0.958

195. a01165079.png ; $H$ ; confidence 0.957

196. c02096032.png ; $y _ { n + 1 } = y _ { n } + \frac { h } { 2 } ( f _ { n + 1 } + f _ { n } )$ ; confidence 0.957

197. c023110101.png ; $Z G$ ; confidence 0.957

198. c0262508.png ; $( f _ { 1 } + f _ { 2 } ) ( x ) = f _ { 1 } ( x ) + f _ { 2 } ( x )$ ; confidence 0.957

199. d033530372.png ; $d _ { n } \ll p _ { n } ^ { \theta }$ ; confidence 0.957

200. f1202105.png ; $| z | < r$ ; confidence 0.957

201. m11022016.png ; $\lambda ^ { * } \in R ^ { m }$ ; confidence 0.957

202. p0724307.png ; $\epsilon \ll 1$ ; confidence 0.957

203. s09076026.png ; $L _ { 0 } ^ { * } = L _ { 1 }$ ; confidence 0.957

204. v130050114.png ; $1 _ { n } ( w ) = 0$ ; confidence 0.957

205. b12009092.png ; $f \in B ( m / n )$ ; confidence 0.956

206. b01780036.png ; $d \geq n$ ; confidence 0.956

207. d03185095.png ; $x \neq \pm 1$ ; confidence 0.956

208. f12013083.png ; $| \Phi ( G )$ ; confidence 0.956

209. g13003048.png ; $I _ { U } = \{ ( u _ { \lambda } ) _ { \lambda \in \Lambda }$ ; confidence 0.956

210. h04839015.png ; $U ^ { ( 2 ) }$ ; confidence 0.956

211. l11002085.png ; $x \preceq y$ ; confidence 0.956

212. r13010034.png ; $D _ { n }$ ; confidence 0.956

213. s08711028.png ; $\delta < \alpha$ ; confidence 0.956

214. w120110210.png ; $G = G ^ { \sigma }$ ; confidence 0.956

215. a110010297.png ; $F ( A ) = e ^ { A }$ ; confidence 0.956

216. d0307909.png ; $\lambda ^ { m }$ ; confidence 0.955

217. f03847048.png ; $\tau _ { 0 } = 0$ ; confidence 0.955

218. g04477022.png ; $[ \Psi / \Phi ] \Phi$ ; confidence 0.955

219. h046420157.png ; $d g = d h d k$ ; confidence 0.955

220. i11002068.png ; $( \lambda \odot \mu ) \odot v = \lambda \odot ( \mu \odot v )$ ; confidence 0.955

221. q07631081.png ; $H _ { i } \in \mathfrak { g }$ ; confidence 0.955

222. a110010192.png ; $T ^ { - 1 } A T = \Lambda$ ; confidence 0.955

223. a01018024.png ; $\sigma > \sigma 0$ ; confidence 0.954

224. a1104901.png ; $D = d / d t$ ; confidence 0.954

225. c11020072.png ; $\lambda \in \Lambda$ ; confidence 0.954

226. d03224071.png ; $d \omega = d \square ^ { * } \omega = 0$ ; confidence 0.954

227. e036960205.png ; $\nu - 1 / 2 \in Z$ ; confidence 0.954

228. g04509046.png ; $y ( \alpha ) = 0$ ; confidence 0.954

229. i051620138.png ; $\Gamma = \partial D _ { 1 } \times \square \ldots \times \partial D _ { n }$ ; confidence 0.954

230. t09273032.png ; $M = M _ { 1 } \# M _ { 2 }$ ; confidence 0.954

231. u09523081.png ; $\{ d f _ { n } / d x \}$ ; confidence 0.954

232. b120150110.png ; $d : N \cup \{ 0 \} \rightarrow R$ ; confidence 0.953

233. d03128063.png ; $s ^ { \prime } : Y ^ { \prime } \rightarrow X ^ { \prime }$ ; confidence 0.953

234. e03708021.png ; $r > n$ ; confidence 0.953

235. h047390181.png ; $V = V ^ { + } \oplus V ^ { - }$ ; confidence 0.953

236. i13007010.png ; $q ( x ) \in L ^ { 2 } \operatorname { loc } ( R ^ { 3 } )$ ; confidence 0.953

237. l0602207.png ; $\in \Theta$ ; confidence 0.953

238. l12019039.png ; $x = - \sum _ { k = 0 } ^ { \infty } ( A ^ { * } ) ^ { k } C ( A ) ^ { k }$ ; confidence 0.953

239. t093900154.png ; $g _ { k } = ( 1 + y _ { k } ) / 2$ ; confidence 0.953

240. a110010151.png ; $k ( A ) = \| A \| _ { 2 } \| A ^ { + } \| _ { 2 }$ ; confidence 0.953

241. a130240135.png ; $A$ ; confidence 0.952

242. a110010282.png ; $A _ { i } \in R ^ { n \times n }$ ; confidence 0.952

243. d03070037.png ; $\pi ^ { \prime } : X ^ { \prime } \rightarrow S ^ { \prime }$ ; confidence 0.952

244. h0472103.png ; $C$ ; confidence 0.952

245. i05109035.png ; $\Theta$ ; confidence 0.952

246. i05143058.png ; $| \lambda | < 1 / M ( b - \alpha )$ ; confidence 0.952

247. j13004079.png ; $s ( L ) \geq ( E - e ) / 2$ ; confidence 0.952

248. m06487010.png ; $\xi = x _ { m }$ ; confidence 0.952

249. a110420125.png ; $( K _ { 0 } ( A ) , K _ { 0 } ( A ) ^ { + } )$ ; confidence 0.951

250. a120310112.png ; $M ( C ( S ) , \alpha _ { 1 } , G _ { 1 } )$ ; confidence 0.951

251. t12001061.png ; $\Gamma \subset SU ( 2 )$ ; confidence 0.951

252. b01511064.png ; $\mu = \delta _ { X }$ ; confidence 0.951

253. b01587024.png ; $( 1 - \Delta ) ^ { m } P _ { \alpha } ( x ) = P _ { \alpha - 2 m } ( x )$ ; confidence 0.951

254. c02270026.png ; $g : Y \rightarrow Z$ ; confidence 0.951

255. m130230127.png ; $\phi : X ^ { \prime } \rightarrow Y$ ; confidence 0.951

256. p07401072.png ; $F _ { 5 } ^ { \mu } = C _ { 4 } \cap F _ { 8 } ^ { \mu }$ ; confidence 0.951

257. a13006083.png ; $\overline { H }$ ; confidence 0.950

258. b12030013.png ; $q \in Z ^ { N }$ ; confidence 0.950

259. d03101088.png ; $S ^ { 4 k - 1 }$ ; confidence 0.950

260. h12001013.png ; $X ^ { ( r ) } \rightarrow V$ ; confidence 0.950

261. k0558203.png ; $\square ^ { 1 } S _ { 2 } ( i )$ ; confidence 0.950

262. n06708018.png ; $y ^ { * } = \alpha ( g ^ { * } )$ ; confidence 0.950

263. s0919603.png ; $R = \{ \pi ( i ) : \square i \in I \}$ ; confidence 0.950

264. v09638042.png ; $G ^ { k } ( V ) \times V$ ; confidence 0.950

265. a11079027.png ; $M \subset G$ ; confidence 0.949

266. b01539050.png ; $\theta = \theta _ { i }$ ; confidence 0.949

267. c11005025.png ; $X _ { t } = 2.632 + 1.492 X _ { t - 1 } - 1.324 X _ { t - 2 } + \epsilon _ { t } ^ { ( 2 ) }$ ; confidence 0.949

268. c1101705.png ; $D _ { p }$ ; confidence 0.949

269. e035550128.png ; $\alpha ( X ) = \operatorname { tr } \operatorname { deg } M ( X )$ ; confidence 0.949

270. t09454051.png ; $\{ \omega _ { n } ^ { + } ( V ) \}$ ; confidence 0.949

271. a01018056.png ; $A _ { n } = \sum _ { j = 1 } ^ { k } B _ { j } n ^ { s _ { j } } ( \operatorname { ln } n ) ^ { \alpha _ { j } } + O ( n ^ { \beta } )$ ; confidence 0.948

272. t120010101.png ; $Z = G / U ( 1 ) . K$ ; confidence 0.948

273. t12001064.png ; $s ^ { 3 }$ ; confidence 0.948

274. b12014039.png ; $a ( z )$ ; confidence 0.948

275. b0169702.png ; $x ^ { \sigma } = x$ ; confidence 0.948

276. d032130311.png ; $\omega \in \Omega ^ { d } [ X ]$ ; confidence 0.948

277. i050230228.png ; $D _ { j } ^ { l } f \in L _ { p } ( R ^ { n } )$ ; confidence 0.948

278. m06442050.png ; $k = m / 2$ ; confidence 0.948

279. a13013014.png ; $\Leftrightarrow [ \frac { \partial } { \partial x } - P , \frac { \partial } { \partial t _ { n } } - Q ^ { ( n ) } ] = 0$ ; confidence 0.947

280. a13013030.png ; $( \partial / \partial x ) - P _ { 0 } z$ ; confidence 0.947

281. a13013093.png ; $P _ { n + 1 } = \sum _ { i = 0 } ^ { n + 1 } u _ { i } ( \frac { d } { d x } ) ^ { i }$ ; confidence 0.947

282. a0120907.png ; $\alpha \neq 0$ ; confidence 0.947

283. c0224501.png ; $x ( t ) : R \rightarrow R ^ { n }$ ; confidence 0.947

284. c022780210.png ; $x _ { i } / ( e ^ { x _ { i } } - 1 )$ ; confidence 0.947

285. c024730113.png ; $P _ { i j } = \frac { 1 } { n - 2 } R _ { j } - \delta _ { j } ^ { i } \frac { R } { 2 ( n - 1 ) ( n - 2 ) }$ ; confidence 0.947

286. f1300908.png ; $U _ { n } ( x ) = \frac { \alpha ^ { n } ( x ) - \beta ^ { n } ( x ) } { \alpha ( x ) - \beta ( x ) }$ ; confidence 0.947

287. f04116031.png ; $\alpha = - b$ ; confidence 0.947

288. k055840272.png ; $E ( \Delta ) K \subset D ( A )$ ; confidence 0.947

289. o06850051.png ; $\sigma \leq t \leq \theta$ ; confidence 0.947

290. r0801808.png ; $t _ { k } \in R$ ; confidence 0.947

291. s11028060.png ; $\sum _ { i = 1 } ^ { r } \alpha _ { i } \theta ( b _ { i } ) \in Z [ G ]$ ; confidence 0.947

292. t12001029.png ; $C ( S )$ ; confidence 0.946

293. a130240218.png ; $z = \Gamma y$ ; confidence 0.946

294. b0153803.png ; $A _ { i } \Gamma \cap A _ { j } = \emptyset$ ; confidence 0.946

295. i050030120.png ; $A \backslash I$ ; confidence 0.946

296. i1300404.png ; $\sum _ { k = 1 } ^ { \infty } b _ { k } \operatorname { sin } k x$ ; confidence 0.946

297. t093900196.png ; $T _ { 23 } n ( \operatorname { cos } \pi \omega )$ ; confidence 0.946

298. v0963509.png ; $( a + b ) + c = a + ( b + c )$ ; confidence 0.946

299. a130240417.png ; $( n - r ) ^ { - 1 } M _ { E }$ ; confidence 0.945

300. a130240213.png ; $7$ ; confidence 0.945

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