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(AUTOMATIC EDIT of page 5 out of 13 with 300 lines: Updated image/latex database (currently 3630 images latexified; order by Confidence, ascending: False.)
(AUTOMATIC EDIT of page 5 out of 35 with 300 lines: Updated image/latex database (currently 10225 images latexified; order by Confidence, ascending: False.)
 
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== List ==
 
== List ==
1. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110190/b11019030.png ; $( x ^ { * } y ) ^ { * } z = ( x ^ { * } z ) ^ { * } ( y ^ { * } z )$ ; confidence 0.974
+
1. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450171.png ; $84 ( g - 1 )$ ; confidence 0.998
  
2. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130050/c13005021.png ; $\Gamma$ ; confidence 0.974
+
2. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011100/a01110056.png ; $\phi : L _ { 1 } \rightarrow L _ { 2 }$ ; confidence 0.998
  
3. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021650/c02165039.png ; $E X ^ { 2 n } < \infty$ ; confidence 0.974
+
3. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002056.png ; $m = q ^ { 2 }$ ; confidence 0.998
  
4. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024520/c02452065.png ; $x _ { 0 } \in V ^ { n }$ ; confidence 0.974
+
4. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a011460113.png ; $A ^ { p } ( X )$ ; confidence 0.998
  
5. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110080/e11008048.png ; $B \circ F$ ; confidence 0.974
+
5. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008031.png ; $\frac { f ^ { \prime } ( L ) } { f ( L ) } = \frac { g ^ { \prime } ( L ; m , s ) } { g ( L ; m , s ) }$ ; confidence 0.997
  
6. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110130/e11013060.png ; $p _ { x } ^ { * } = \lambda \operatorname { exp } ( - \lambda x )$ ; confidence 0.974
+
6. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110080/a11008031.png ; $R ( s ) = | \frac { r ( s ) - \sqrt { 1 - s ^ { 2 } } } { r ( s ) + \sqrt { 1 - s ^ { 2 } } } | , \quad s \in [ - 1,1 ]$ ; confidence 0.997
  
7. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036840/e03684024.png ; $C _ { n } = C _ { 1 } + \frac { 1 } { 4 } C _ { 1 } + \ldots + \frac { 1 } { 4 ^ { n - 1 } } C _ { 1 }$ ; confidence 0.974
+
7. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145081.png ; $( f ) + D \geq 0$ ; confidence 0.997
  
8. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045040/g0450402.png ; $f _ { 12 }$ ; confidence 0.974
+
8. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690020.png ; $H ^ { 1 } ( C ^ { * } ) = Z ^ { 1 } / \rho$ ; confidence 0.997
  
9. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081460/r08146017.png ; $g \mapsto ( \operatorname { det } g ) ^ { k } R ( g )$ ; confidence 0.974
+
9. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072670/p07267047.png ; $H ^ { 2 } ( F , O _ { F } ) = 0$ ; confidence 0.997
  
10. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001076.png ; $r = A ( x + \delta x ) - b = A \delta x$ ; confidence 0.974
+
10. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110440/a11044012.png ; $f _ { 1 }$ ; confidence 0.997
  
11. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001097.png ; $( A + \delta A ) x = b + \delta b$ ; confidence 0.973
+
11. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210144.png ; $\int R ( z , w ) d z = \int \omega$ ; confidence 0.997
  
12. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001050.png ; $\epsilon \| A$ ; confidence 0.973
+
12. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a110040156.png ; $0 \rightarrow E \times E \rightarrow J ( C ) \rightarrow A \rightarrow 0$ ; confidence 0.997
  
13. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013074.png ; $T$ ; confidence 0.973
+
13. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054340/j05434023.png ; $C ^ { - 1 } A C$ ; confidence 0.997
  
14. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017550/b0175508.png ; $t _ { 1 } + t$ ; confidence 0.973
+
14. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a011600100.png ; $O _ { k }$ ; confidence 0.997
  
15. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021130/c02113024.png ; $\partial I ^ { p }$ ; confidence 0.973
+
15. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110250/a11025024.png ; $\beta \rightarrow \infty$ ; confidence 0.997
  
16. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130060/e13006023.png ; $z \in Z$ ; confidence 0.973
+
16. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028084.png ; $c ( G ) = \Theta ( n \operatorname { log } n )$ ; confidence 0.997
  
17. https://www.encyclopediaofmath.org/legacyimages/g/g110/g110260/g1102602.png ; $B M$ ; confidence 0.973
+
17. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130180/a130180149.png ; $n > 2$ ; confidence 0.997
  
18. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h04642087.png ; $L _ { \infty } ( \hat { G } )$ ; confidence 0.973
+
18. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010700/a01070022.png ; $r ^ { 0 } = \beta$ ; confidence 0.997
  
19. https://www.encyclopediaofmath.org/legacyimages/j/j120/j120020/j120020240.png ; $B M O$ ; confidence 0.973
+
19. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a01417057.png ; $K ( \Gamma )$ ; confidence 0.997
  
20. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055480/k05548012.png ; $\partial / \partial x ^ { \alpha } \rightarrow ( \partial / \partial x ^ { \alpha } ) - i e A _ { \alpha } / \hbar$ ; confidence 0.973
+
20. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058520/l05852020.png ; $0 \leq i < m$ ; confidence 0.997
  
21. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062690/m06269073.png ; $k \frac { \partial u } { \partial n } + h u | _ { S } = v ( x )$ ; confidence 0.973
+
21. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a011460120.png ; $H ^ { * } ( X )$ ; confidence 0.997
  
22. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064990/m06499028.png ; $\sum _ { j = 0 } ^ { i } ( - 1 ) ^ { j } m _ { i - j } \geq \sum _ { j = 0 } ^ { i } ( - 1 ) ^ { j } b _ { i - j }$ ; confidence 0.973
+
22. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081030/r08103021.png ; $W _ { k } ( S , G ) = N ( S ) / Z ( S )$ ; confidence 0.997
  
23. https://www.encyclopediaofmath.org/legacyimages/p/p075/p075450/p07545043.png ; $U _ { i j } = \operatorname { Spec } ( A _ { i j } )$ ; confidence 0.973
+
23. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022660/c02266044.png ; $0 \leq t < 1$ ; confidence 0.997
  
24. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086330/s08633098.png ; $A \Phi \subset \Phi$ ; confidence 0.973
+
24. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095240/u09524045.png ; $X = F ^ { - 1 } Y$ ; confidence 0.997
  
25. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087130/s08713053.png ; $m < \infty$ ; confidence 0.973
+
25. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830193.png ; $p + q - n$ ; confidence 0.997
  
26. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539061.png ; $\rho ( \pi , \delta _ { \epsilon } ^ { * } ) \leq \operatorname { inf } _ { \delta } \rho ( \pi , \delta ) + \epsilon$ ; confidence 0.972
+
26. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010820/a01082059.png ; $\alpha : X \rightarrow G ( Y ^ { \prime } )$ ; confidence 0.997
  
27. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539035.png ; $p ( x ) = \int _ { \Theta } p ( x | \theta ) \pi ( \theta ) d \nu ( \theta )$ ; confidence 0.972
+
27. https://www.encyclopediaofmath.org/legacyimages/e/e110/e110070/e110070172.png ; $\alpha = - 1$ ; confidence 0.997
  
28. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016900/b0169001.png ; $d s ^ { 2 } = \frac { d u ^ { 2 } + d v ^ { 2 } } { ( U + V ) ^ { 2 } }$ ; confidence 0.972
+
28. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110330/a11033018.png ; $b = 100$ ; confidence 0.997
  
29. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016960/b016960126.png ; $\omega _ { i } = 1$ ; confidence 0.972
+
29. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011480/a01148024.png ; $( x - c ) ^ { k }$ ; confidence 0.997
  
30. https://www.encyclopediaofmath.org/legacyimages/c/c120/c120200/c12020014.png ; $W ^ { m + 1 }$ ; confidence 0.972
+
30. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010240/a0102401.png ; $\int _ { z _ { 0 } } ^ { z _ { 1 } } R ( z , w ) d z$ ; confidence 0.997
  
31. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038390/f038390152.png ; $\alpha ^ { \lambda } = 1$ ; confidence 0.972
+
31. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007090.png ; $- 1 \leq \alpha _ { i } < \beta _ { i } \leq 1$ ; confidence 0.997
  
32. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120190/f12019028.png ; $C _ { G } ( n ) \leq N$ ; confidence 0.972
+
32. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110270/a1102705.png ; $K ( \pi , 1 )$ ; confidence 0.997
  
33. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f120230136.png ; $J : T M \rightarrow T M$ ; confidence 0.972
+
33. https://www.encyclopediaofmath.org/legacyimages/b/b111/b111040/b11104014.png ; $p = 3$ ; confidence 0.997
  
34. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041890/f0418904.png ; $D = \{ z \in C : | z | < 1 \}$ ; confidence 0.972
+
34. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010063.png ; $C _ { W } ( X ) = C _ { 0 } ( X )$ ; confidence 0.997
  
35. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047930/h047930317.png ; $S X \rightarrow S X$ ; confidence 0.972
+
35. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121036.png ; $\operatorname { arg } ( z + \frac { \pi } { 3 } ) | \leq \pi - \epsilon$ ; confidence 0.997
  
36. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j13004075.png ; $( n _ { + } - n _ { - } ) - ( s ( D _ { L } ) - 1 ) \leq e \leq E \leq ( n _ { + } - n _ { - } ) + ( s ( D _ { L } ) - 1 )$ ; confidence 0.972
+
36. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640105.png ; $p _ { 12 } = 0$ ; confidence 0.997
  
37. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110190/k11019034.png ; $\mu _ { n } ( P \| Q ) =$ ; confidence 0.972
+
37. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010550/a01055058.png ; $( X , \phi ) \sim ( X ^ { \prime } , \phi ^ { \prime } )$ ; confidence 0.997
  
38. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060600/l06060030.png ; $\pi < \operatorname { arg } z \leq \pi$ ; confidence 0.972
+
38. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010950/a010950129.png ; $\dot { x } ( t )$ ; confidence 0.997
  
39. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058310/l05831065.png ; $F _ { n } ( - \infty ) \rightarrow F ( - \infty )$ ; confidence 0.972
+
39. https://www.encyclopediaofmath.org/legacyimages/k/k110/k110070/k11007014.png ; $U \subseteq G / B$ ; confidence 0.997
  
40. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065560/m06556075.png ; $\frac { | z | ^ { p } } { ( 1 + | z | ) ^ { 2 p } } \leq | f ( z ) | \leq \frac { | z | ^ { p } } { ( 1 - | z | ) ^ { 2 p } }$ ; confidence 0.972
+
40. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120180/a12018083.png ; $t = 1$ ; confidence 0.997
  
41. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072980/p07298015.png ; $\beta \in L _ { q }$ ; confidence 0.972
+
41. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011380/a011380159.png ; $x + y = y + x$ ; confidence 0.997
  
42. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073460/p07346048.png ; $W = M + U$ ; confidence 0.972
+
42. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a1200808.png ; $c ( x ) > 0$ ; confidence 0.997
  
43. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080940/r08094028.png ; $\{ \alpha _ { n } ^ { ( e ) } \}$ ; confidence 0.972
+
43. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050150.png ; $= \prod _ { p \in P } ( 1 - | p | ^ { - z } ) ^ { - 1 } =$ ; confidence 0.997
  
44. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018065.png ; $1 + m x / 2 + m ( m - 1 ) x ^ { 2 } / ( 2.1 ) +$ ; confidence 0.972
+
44. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130220/a1302203.png ; $Z ( R )$ ; confidence 0.997
  
45. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001014.png ; $\operatorname { det } ( A ) \neq 0$ ; confidence 0.972
+
45. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013000/a013000105.png ; $A ( E )$ ; confidence 0.997
  
46. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240439.png ; $( N ) \leq 1$ ; confidence 0.971
+
46. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h04797035.png ; $A _ { 0 } = K$ ; confidence 0.997
  
47. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a1301302.png ; $\frac { \partial } { \partial t } P _ { 1 } - \frac { \partial } { \partial x } Q _ { 2 } + [ P _ { 1 } , Q _ { 2 } ] = 0$ ; confidence 0.971
+
47. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590479.png ; $F ( x , y , \lambda )$ ; confidence 0.997
  
48. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010105.png ; $\Delta A = \epsilon | A$ ; confidence 0.971
+
48. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110350/a11035022.png ; $\phi _ { \lambda } ^ { 0 } = \phi _ { \lambda }$ ; confidence 0.997
  
49. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a130130100.png ; $A K N S$ ; confidence 0.971
+
49. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110070/a11007027.png ; $L _ { 1 } ( K , \mu )$ ; confidence 0.997
  
50. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110690/b11069063.png ; $P T ( C ) \in G$ ; confidence 0.971
+
50. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010298.png ; $f ( \lambda ) = e ^ { \lambda }$ ; confidence 0.997
  
51. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020920/c02092013.png ; $\Omega _ { 0 } \times \{ x _ { 0 }$ ; confidence 0.971
+
51. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010680/a01068031.png ; $k = 3$ ; confidence 0.997
  
52. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041880/f04188062.png ; $V _ { 0 } ( z )$ ; confidence 0.971
+
52. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872014.png ; $\Lambda _ { p } ( x , y )$ ; confidence 0.997
  
53. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047380/h047380203.png ; $\nu \in A$ ; confidence 0.971
+
53. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l05859028.png ; $f : G _ { 1 } \rightarrow G _ { 2 }$ ; confidence 0.997
  
54. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047940/h047940245.png ; $\Delta _ { q }$ ; confidence 0.971
+
54. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a01160033.png ; $6 = 2.3$ ; confidence 0.997
  
55. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050650/i050650350.png ; $i _ { \alpha } ( D ) \in K ( Y )$ ; confidence 0.971
+
55. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a01160026.png ; $( x + y \sqrt { D } ) ( x - y \sqrt { D } ) = 1$ ; confidence 0.997
  
56. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051410/i05141058.png ; $0 < \alpha < a$ ; confidence 0.971
+
56. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120100/a12010066.png ; $- \Delta$ ; confidence 0.997
  
57. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051430/i05143036.png ; $\{ \alpha _ { i } ( x ) \}$ ; confidence 0.971
+
57. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590457.png ; $\Phi _ { \mu } ( x , \lambda ) =$ ; confidence 0.997
  
58. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064000/m0640004.png ; $\epsilon > 0$ ; confidence 0.971
+
58. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120255.png ; $h ( \phi ) = k ( - \phi ) , \quad \sigma \leq \phi \leq 2 \pi$ ; confidence 0.997
  
59. https://www.encyclopediaofmath.org/legacyimages/m/m120/m120230/m12023042.png ; $( ( \partial f ) ^ { - 1 } + t l ) ^ { - 1 }$ ; confidence 0.971
+
59. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090153.png ; $\Lambda ^ { + } ( n )$ ; confidence 0.997
  
60. https://www.encyclopediaofmath.org/legacyimages/n/n110/n110010/n1100102.png ; $f \in L _ { \infty } ( T )$ ; confidence 0.971
+
60. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010460/a01046067.png ; $P _ { \nu } ( x , h )$ ; confidence 0.997
  
61. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076830/q07683018.png ; $Q _ { 0 } ^ { 0 } = Q ^ { 0 }$ ; confidence 0.971
+
61. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007069.png ; $t \mapsto A ( t ) ^ { - 1 }$ ; confidence 0.997
  
62. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090190/s09019043.png ; $t = Z$ ; confidence 0.971
+
62. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010680/a01068045.png ; $\{ 2 n - m \}$ ; confidence 0.997
  
63. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042060.png ; $K _ { 1 }$ ; confidence 0.970
+
63. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240344.png ; $1 \times p$ ; confidence 0.997
  
64. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110280/a11028017.png ; $l ( D ) \geq \chi ( G ) - 1$ ; confidence 0.970
+
64. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110070/a11007031.png ; $\Pi _ { p } ( H , H )$ ; confidence 0.997
  
65. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009082.png ; $L ( r ) = \int _ { 0 } ^ { 2 \pi } | z f ^ { \prime } ( z ) | d \theta = O ( \operatorname { log } \frac { 1 } { 1 - r } )$ ; confidence 0.970
+
65. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011480/a011480119.png ; $p - m q$ ; confidence 0.997
  
66. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020088.png ; $\Delta _ { - } = - \Delta _ { + }$ ; confidence 0.970
+
66. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120040/a12004010.png ; $x ( t ) \in D ( A )$ ; confidence 0.997
  
67. https://www.encyclopediaofmath.org/legacyimages/c/c021/c021760/c0217608.png ; $p ( x ) = \frac { 1 } { ( 2 \pi ) ^ { 3 / 2 } \sigma ^ { 2 } } \operatorname { exp } \{ - \frac { 1 } { 2 \sigma ^ { 2 } } ( x _ { 1 } ^ { 2 } + x _ { 2 } ^ { 2 } + x _ { 3 } ^ { 2 } ) \}$ ; confidence 0.970
+
67. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700253.png ; $H ^ { 2 } ( G , V ) = 0$ ; confidence 0.997
  
68. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023050/c023050103.png ; $\operatorname { cd } _ { p } ( X ) \leq \operatorname { cohcd } ( X ) + 1$ ; confidence 0.970
+
68. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590429.png ; $p ( Z ) = 1 - \operatorname { dim } H ^ { 0 } ( Z , O _ { Z } ) + \operatorname { dim } H ^ { 1 } ( Z , O _ { Z } )$ ; confidence 0.997
  
69. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025350/c025350101.png ; $E _ { 1 } \rightarrow E _ { 1 }$ ; confidence 0.970
+
69. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005059.png ; $u ( t ) \in D ( A ( t ) )$ ; confidence 0.997
  
70. https://www.encyclopediaofmath.org/legacyimages/d/d110/d110090/d11009089.png ; $D \subseteq g H g ^ { - 1 }$ ; confidence 0.970
+
70. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050120.png ; $t \mapsto A ( t )$ ; confidence 0.997
  
71. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035320/e0353202.png ; $\tau _ { i + 1 } - \tau _ { i }$ ; confidence 0.970
+
71. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082021.png ; $B _ { 1 } \rightarrow B _ { 2 }$ ; confidence 0.997
  
72. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041940/f041940314.png ; $L _ { p } ( X )$ ; confidence 0.970
+
72. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010910/a0109108.png ; $\operatorname { lim } _ { t \rightarrow \infty } u ( t ) = u$ ; confidence 0.997
  
73. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072760/p0727608.png ; $f ( x ) \mapsto \hat { f } ( y )$ ; confidence 0.970
+
73. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058590/l058590188.png ; $f : U _ { 1 } \rightarrow U _ { 2 }$ ; confidence 0.997
  
74. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073700/p073700202.png ; $d ( s ) = \operatorname { sup } \{ n : s \in F _ { n } \}$ ; confidence 0.970
+
74. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240489.png ; $s = k + 1$ ; confidence 0.997
  
75. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076430/q076430127.png ; $f : R _ { + } ^ { n } \rightarrow R _ { + } ^ { n }$ ; confidence 0.970
+
75. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120291.png ; $\forall G \in O ^ { F }$ ; confidence 0.997
  
76. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077130/r077130114.png ; $\phi < \beta < L < K < J < T < \tau < F$ ; confidence 0.970
+
76. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a1302407.png ; $( m \times 1 )$ ; confidence 0.997
  
77. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083000/s08300055.png ; $D _ { n } D _ { n } \theta = \theta$ ; confidence 0.970
+
77. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110370/a11037055.png ; $k > 1$ ; confidence 0.997
  
78. https://www.encyclopediaofmath.org/legacyimages/s/s120/s120180/s12018056.png ; $M = M ^ { \perp \perp }$ ; confidence 0.970
+
78. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011600/a01160094.png ; $K = k ( \theta )$ ; confidence 0.997
  
79. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087640/s08764057.png ; $I \subset O ( X )$ ; confidence 0.970
+
79. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011820/a011820106.png ; $A \leq B$ ; confidence 0.997
  
80. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097670/w097670153.png ; $\oplus V _ { k } ( M ) / V _ { k - 1 } ( M )$ ; confidence 0.970
+
80. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011100/a01110077.png ; $f : A \rightarrow A$ ; confidence 0.997
  
81. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097710/w0977109.png ; $N _ { G } ( T )$ ; confidence 0.970
+
81. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007031.png ; $\| f ( t ) - f ( s ) \| \leq C _ { 1 } | t - s | ^ { \alpha } , \quad 0 \leq s \leq t \leq T$ ; confidence 0.997
  
82. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018014.png ; $z - b | < R$ ; confidence 0.970
+
82. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872075.png ; $( L , \pi )$ ; confidence 0.997
  
83. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240156.png ; $c ^ { \prime }$ ; confidence 0.970
+
83. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058610/l05861013.png ; $\square ^ { t }$ ; confidence 0.997
  
84. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240478.png ; $0$ ; confidence 0.969
+
84. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007098.png ; $n ^ { 0 }$ ; confidence 0.997
  
85. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023380/c02338039.png ; $f \in L _ { 1 } ( G )$ ; confidence 0.969
+
85. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016540/b0165403.png ; $U ( G )$ ; confidence 0.997
  
86. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026230/c02623013.png ; $\int _ { - \pi } ^ { \pi } d \mu ( \theta ) = 1$ ; confidence 0.969
+
86. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074720/p07472095.png ; $y = \gamma x$ ; confidence 0.997
  
87. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i13009026.png ; $\mu _ { m }$ ; confidence 0.969
+
87. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a130070127.png ; $2 < \frac { \sigma ( n ) } { n } < 2 + \frac { 2 } { 10 ^ { 10 } }$ ; confidence 0.997
  
88. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080020/r08002019.png ; $\operatorname { dim } A = n = q - s$ ; confidence 0.969
+
88. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110300/a11030044.png ; $\phi : ( T V , d ) \rightarrow ( T W , d )$ ; confidence 0.997
  
89. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240350.png ; $( n - r ) \times p$ ; confidence 0.969
+
89. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a01145063.png ; $g = \frac { ( m - 1 ) ( m - 2 ) } { 2 }$ ; confidence 0.997
  
90. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010200/a01020053.png ; $\pi 1 , \pi 2$ ; confidence 0.968
+
90. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130120/a13012018.png ; $r \leq ( s ^ { 2 } \mu - 1 ) / ( \mu - 1 )$ ; confidence 0.997
  
91. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001059.png ; $\delta x$ ; confidence 0.968
+
91. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010129.png ; $x = A ^ { + } b$ ; confidence 0.997
  
92. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240110.png ; $x$ ; confidence 0.968
+
92. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110370/a11037047.png ; $X ( 0 ) = 0$ ; confidence 0.997
  
93. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012410/a012410135.png ; $f ( S )$ ; confidence 0.968
+
93. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s08559027.png ; $\phi _ { 1 } ( 0 ) = \zeta$ ; confidence 0.997
  
94. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013170/a01317026.png ; $y _ { t } = t - S _ { \eta _ { t } }$ ; confidence 0.968
+
94. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001021.png ; $m = 4 n + 3$ ; confidence 0.997
  
95. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130060/d13006091.png ; $m _ { B } ( A ) = 0$ ; confidence 0.968
+
95. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t1200106.png ; $U ( ( m + 1 ) / 2 )$ ; confidence 0.997
  
96. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g04381012.png ; $\overline { O } _ { k }$ ; confidence 0.968
+
96. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010110.png ; $k > 7$ ; confidence 0.997
  
97. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130060/g1300606.png ; $p _ { n } ( z ) : = \operatorname { det } \{ z I - A \}$ ; confidence 0.968
+
97. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042067.png ; $\alpha ( K _ { 0 } ( A ) ^ { + } ) = K _ { 0 } ( B ) ^ { + }$ ; confidence 0.997
  
98. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044660/g04466023.png ; $A _ { 0 } = \mathfrak { A } _ { 0 }$ ; confidence 0.968
+
98. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042098.png ; $K _ { 1 } ( A ) = 0$ ; confidence 0.997
  
99. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051930/i051930154.png ; $\{ f _ { \alpha } : \alpha \in \mathfrak { A } \}$ ; confidence 0.968
+
99. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001016.png ; $x + \delta x$ ; confidence 0.997
  
100. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066630/n06663069.png ; $\Delta _ { k } ^ { k } f ^ { ( s ) }$ ; confidence 0.968
+
100. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007083.png ; $H ( x ) > ( 1 - \varepsilon ) ( \operatorname { log } x ) ^ { 2 }$ ; confidence 0.997
  
101. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096020/v096020108.png ; $\lambda \leq 0.5$ ; confidence 0.968
+
101. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081095.png ; $\lambda \neq \mu$ ; confidence 0.997
  
102. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120050/w12005029.png ; $D = R [ x ] / D$ ; confidence 0.968
+
102. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011690/a01169071.png ; $L _ { \Omega }$ ; confidence 0.997
  
103. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010165.png ; $( A ) = m < n$ ; confidence 0.967
+
103. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012090/a01209091.png ; $N ( R ) \neq 0$ ; confidence 0.997
  
104. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a12031049.png ; $B ( K )$ ; confidence 0.967
+
104. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013570/a01357020.png ; $g ( u ) d u$ ; confidence 0.997
  
105. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001022.png ; $n \geq 1$ ; confidence 0.967
+
105. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539013.png ; $\delta ( x ) \in D$ ; confidence 0.997
  
106. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042087.png ; $x _ { i } \leq z \leq y _ { j }$ ; confidence 0.967
+
106. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015540/b01554027.png ; $\phi = \Pi ^ { \prime } \Pi ^ { - 1 }$ ; confidence 0.997
  
107. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002020.png ; $D _ { 2 }$ ; confidence 0.967
+
107. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016550/b01655040.png ; $\lambda _ { n } ( t ) = v$ ; confidence 0.997
  
108. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130050/a130050230.png ; $A ^ { \# }$ ; confidence 0.967
+
108. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023150/c023150291.png ; $\pi _ { n } ( E ) = \pi$ ; confidence 0.997
  
109. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110250/b11025093.png ; $L ( t )$ ; confidence 0.967
+
109. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023150/c023150156.png ; $i ^ { * } ( \phi ) = 0$ ; confidence 0.997
  
110. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024780/c02478054.png ; $f ^ { \prime } ( z _ { 0 } )$ ; confidence 0.967
+
110. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024100/c024100241.png ; $f : K \rightarrow K$ ; confidence 0.997
  
111. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032010/d03201062.png ; $\partial x / u = \partial t / 1$ ; confidence 0.967
+
111. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024540/c0245407.png ; $\dot { \phi } = \omega$ ; confidence 0.997
  
112. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055180/k05518015.png ; $z ^ { 2 } y ^ { \prime \prime } + z y ^ { \prime } - ( i z ^ { 2 } + \nu ^ { 2 } ) y = 0$ ; confidence 0.967
+
112. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024780/c024780240.png ; $0 < \beta \leq 2 \pi$ ; confidence 0.997
  
113. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057780/l05778086.png ; $4.60$ ; confidence 0.967
+
113. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025130/c02513010.png ; $f _ { 2 } \circ f _ { 1 } ^ { - 1 }$ ; confidence 0.997
  
114. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058240/l0582408.png ; $\operatorname { grad } \phi ( \zeta ) \neq 0$ ; confidence 0.967
+
114. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025720/c02572060.png ; $x - y \in U$ ; confidence 0.997
  
115. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059340/l059340213.png ; $A -$ ; confidence 0.967
+
115. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026430/c02643025.png ; $F [ f ] = \frac { F [ g ] } { 1 - \sqrt { 2 \pi } F [ K ] }$ ; confidence 0.997
  
116. https://www.encyclopediaofmath.org/legacyimages/o/o110/o110070/o11007062.png ; $K$ ; confidence 0.967
+
116. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027180/c027180172.png ; $M _ { k } = C _ { k }$ ; confidence 0.997
  
117. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081400/r08140012.png ; $s < s ^ { \prime }$ ; confidence 0.967
+
117. https://www.encyclopediaofmath.org/legacyimages/d/d130/d130020/d13002017.png ; $0 \leq k < 1$ ; confidence 0.997
  
118. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240170.png ; $\gamma _ { i } = 0$ ; confidence 0.966
+
118. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031280/d03128077.png ; $f t = g t$ ; confidence 0.997
  
119. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110560/b11056013.png ; $w _ { 2 } ( F )$ ; confidence 0.966
+
119. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032320/d03232034.png ; $u ( x _ { i } )$ ; confidence 0.997
  
120. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044470/g04447072.png ; $q ^ { \prime } \in A ^ { \prime }$ ; confidence 0.966
+
120. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d120230125.png ; $T _ { 1 } T _ { 2 } ^ { - 1 } T _ { 3 }$ ; confidence 0.997
  
121. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047860/h047860136.png ; $n = r \neq 0$ ; confidence 0.966
+
121. https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d12023093.png ; $| f _ { i } | < 1$ ; confidence 0.997
  
122. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055940/k05594016.png ; $\frac { d \xi } { d t } = \epsilon X _ { 0 } ( \xi ) + \epsilon ^ { 2 } P _ { 2 } ( \xi ) + \ldots + \epsilon ^ { m } P _ { m } ( \xi )$ ; confidence 0.966
+
122. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033460/d03346020.png ; $| w - \beta _ { 0 } | = | \zeta _ { 0 } |$ ; confidence 0.997
  
123. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062160/m06216027.png ; $p < q$ ; confidence 0.966
+
123. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033680/d03368022.png ; $[ A : F ] = [ L : F ] ^ { 2 }$ ; confidence 0.997
  
124. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130260/m13026036.png ; $x \lambda ( y ) = \rho ( x ) y$ ; confidence 0.966
+
124. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035500/e03550031.png ; $T ^ { * } X \backslash 0$ ; confidence 0.997
  
125. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070240/o07024025.png ; $- \beta V$ ; confidence 0.966
+
125. https://www.encyclopediaofmath.org/legacyimages/e/e130/e130040/e13004035.png ; $( \Omega _ { + } - 1 ) \psi ( t ) = ( \Omega _ { + } - 1 ) g \psi ( t ) =$ ; confidence 0.997
  
126. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077130/r07713084.png ; $r _ { 1 } > r _ { 2 }$ ; confidence 0.966
+
126. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036770/e03677085.png ; $A + 2$ ; confidence 0.997
  
127. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s13051063.png ; $\Gamma = \Gamma _ { 1 } + \ldots + \Gamma _ { m }$ ; confidence 0.966
+
127. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110050/f11005019.png ; $q ( 0 ) \neq 0$ ; confidence 0.997
  
128. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086960/s08696030.png ; $\| x _ { 0 } \| \leq \delta$ ; confidence 0.966
+
128. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040850/f04085058.png ; $\sigma ( \alpha ) = \{ w \}$ ; confidence 0.997
  
129. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097720/w0977202.png ; $f ( x ) = \alpha _ { n } x ^ { n } + \ldots + \alpha _ { 1 } x$ ; confidence 0.966
+
129. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041060/f04106025.png ; $\phi \in C _ { 0 } ^ { \infty } ( \Omega )$ ; confidence 0.997
  
130. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010215.png ; $y ^ { i }$ ; confidence 0.965
+
130. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041420/f04142082.png ; $D ( \lambda ) \neq 0$ ; confidence 0.997
  
131. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130010/b13001099.png ; $\left( \begin{array} { l l } { A } & { B } \\ { C } & { D } \end{array} \right)$ ; confidence 0.965
+
131. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041420/f041420175.png ; $| \lambda | < B ^ { - 1 }$ ; confidence 0.997
  
132. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016850/b01685022.png ; $N = \sum _ { i = 1 } ^ { M } N$ ; confidence 0.965
+
132. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120150/f12015043.png ; $\beta ( A ) < \infty$ ; confidence 0.997
  
133. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041570/f04157048.png ; $x _ { 1 } ( t ) + x _ { 2 } ( t ) = A ( t ) \operatorname { cos } ( \omega _ { 1 } t + \phi ( t ) )$ ; confidence 0.965
+
133. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041950/f041950110.png ; $f \in N ( \Delta )$ ; confidence 0.997
  
134. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020187.png ; $\delta : G ^ { \prime } \rightarrow W$ ; confidence 0.965
+
134. https://www.encyclopediaofmath.org/legacyimages/f/f110/f110220/f11022029.png ; $A ^ { p } \geq ( A ^ { p / 2 } B ^ { p } A ^ { p / 2 } ) ^ { 1 / 2 }$ ; confidence 0.997
  
135. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m13025061.png ; $\int | \rho _ { \varepsilon } ( x ) | d x$ ; confidence 0.965
+
135. https://www.encyclopediaofmath.org/legacyimages/g/g043/g043930/g0439304.png ; $m : A ^ { \prime } \rightarrow A$ ; confidence 0.997
  
136. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085400/s085400446.png ; $X \rightarrow \Delta [ 0 ]$ ; confidence 0.965
+
136. https://www.encyclopediaofmath.org/legacyimages/g/g110/g110180/g11018025.png ; $V _ { T } ^ { \prime } = \mu ( V _ { T } )$ ; confidence 0.997
  
137. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021024.png ; $\pi$ ; confidence 0.965
+
137. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g04509054.png ; $C = [ p ( \xi ) W ( \xi ) ] ^ { - 1 }$ ; confidence 0.997
  
138. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310133.png ; $A ^ { \infty } / M$ ; confidence 0.964
+
138. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h04769040.png ; $g x = y$ ; confidence 0.997
  
139. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012100/a01210023.png ; $| \alpha | = \sqrt { \overline { \alpha } \alpha }$ ; confidence 0.964
+
139. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h120120117.png ; $T ( H ( A ) )$ ; confidence 0.997
  
140. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024120/c02412065.png ; $J ( s ) = \operatorname { lim } J _ { N } ( s ) = 2 ( 2 \pi ) ^ { s - 1 } \zeta ( 1 - s ) \operatorname { sin } \frac { \pi s } { 2 }$ ; confidence 0.964
+
140. https://www.encyclopediaofmath.org/legacyimages/h/h110/h110330/h11033039.png ; $n \leq s \leq 2 n - 2$ ; confidence 0.997
  
141. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026460/c02646017.png ; $i _ { k } = k - n [ k / n ] + 1$ ; confidence 0.964
+
141. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048270/h04827072.png ; $f : \Omega \rightarrow B$ ; confidence 0.997
  
142. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062590/m06259061.png ; $\alpha = \beta _ { 1 } \vee \ldots \vee \beta _ { r }$ ; confidence 0.964
+
142. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047512/h04751218.png ; $A = \operatorname { sup } _ { y \in E } A ( y ) < \infty$ ; confidence 0.997
  
143. https://www.encyclopediaofmath.org/legacyimages/r/r082/r082320/r08232050.png ; $\operatorname { lim } _ { r \rightarrow 1 } \int _ { E } | f ( r e ^ { i \theta } ) | ^ { \delta } d \theta = \int _ { E } | f ( e ^ { i \theta } ) | ^ { \delta } d \theta$ ; confidence 0.964
+
143. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051620/i05162064.png ; $\frac { \partial } { \partial z } = \frac { 1 } { 2 } ( \frac { \partial } { \partial x } + i \frac { \partial } { \partial y } )$ ; confidence 0.997
  
144. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097040/w0970409.png ; $\int _ { 0 } ^ { \pi / 2 } \operatorname { sin } ^ { 2 m + 1 } x d x$ ; confidence 0.964
+
144. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i130090126.png ; $\lambda _ { p } ( K / k ) = \lambda ( X )$ ; confidence 0.997
  
145. https://www.encyclopediaofmath.org/legacyimages/a/a013/a013000/a01300068.png ; $P _ { 0 } ( z )$ ; confidence 0.963
+
145. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055100/k05510011.png ; $h = K \eta \leq 1 / 2$ ; confidence 0.997
  
146. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020280/c020280177.png ; $\underline { C } ( E ) = \operatorname { sup } C ( K )$ ; confidence 0.963
+
146. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120050/k12005074.png ; $m \geq m _ { 0 }$ ; confidence 0.997
  
147. https://www.encyclopediaofmath.org/legacyimages/c/c025/c025720/c02572035.png ; $B \circ A$ ; confidence 0.963
+
147. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055340/k0553405.png ; $K _ { \mu }$ ; confidence 0.997
  
148. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026460/c02646046.png ; $\{ x _ { k } \}$ ; confidence 0.963
+
148. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057610/l05761040.png ; $U _ { 0 } = 1$ ; confidence 0.997
  
149. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038390/f038390108.png ; $q ( m ) = ( m ^ { p - 1 } - 1 ) / p$ ; confidence 0.963
+
149. https://www.encyclopediaofmath.org/legacyimages/l/l057/l057780/l057780113.png ; $\mu \approx 18.431$ ; confidence 0.997
  
150. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120020/h120020104.png ; $P _ { - } \phi \in B _ { p } ^ { 1 / p }$ ; confidence 0.963
+
150. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062550/m06255040.png ; $u ( y ) \geq 0$ ; confidence 0.997
  
151. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065140/m06514041.png ; $S _ { n }$ ; confidence 0.963
+
151. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062610/m06261090.png ; $F ^ { \prime } = f$ ; confidence 0.997
  
152. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091070/s09107089.png ; $P _ { \theta } ( A | B )$ ; confidence 0.963
+
152. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063460/m063460143.png ; $p \in P \backslash N$ ; confidence 0.997
  
153. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013028.png ; $\phi _ { - } ( x , t , z ) = \operatorname { exp } ( \sum _ { i = 1 } ^ { \infty } \chi _ { i } ( x , t ) z ^ { - i } )$ ; confidence 0.963
+
153. https://www.encyclopediaofmath.org/legacyimages/m/m063/m063800/m06380038.png ; $\theta _ { n } ( \partial \pi )$ ; confidence 0.997
  
154. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240529.png ; $R$ ; confidence 0.962
+
154. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064250/m064250142.png ; $d y / d s \geq 0$ ; confidence 0.997
  
155. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010278.png ; $X$ ; confidence 0.962
+
155. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064660/m06466019.png ; $C _ { \gamma } = C _ { \gamma _ { 1 } } C _ { \gamma _ { 2 } }$ ; confidence 0.997
  
156. https://www.encyclopediaofmath.org/legacyimages/b/b110/b110660/b11066023.png ; $L _ { p } ( R )$ ; confidence 0.962
+
156. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073750/p073750105.png ; $e ( \xi \otimes C )$ ; confidence 0.997
  
157. https://www.encyclopediaofmath.org/legacyimages/c/c130/c130040/c1300407.png ; $\operatorname { log } \Gamma ( z ) = \int _ { 1 } ^ { z } \psi ( t ) d t$ ; confidence 0.962
+
157. https://www.encyclopediaofmath.org/legacyimages/q/q130/q130040/q13004038.png ; $K > 1$ ; confidence 0.997
  
158. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035550/e03555028.png ; $y ^ { 2 } = x ^ { 3 } - g x - g$ ; confidence 0.962
+
158. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081170/r08117020.png ; $B = B _ { 1 } \cup B _ { 2 }$ ; confidence 0.997
  
159. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040690/f04069072.png ; $\alpha _ { \alpha } ^ { * } ( f ) \Omega = f$ ; confidence 0.962
+
159. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081990/r08199034.png ; $D \cup \gamma$ ; confidence 0.997
  
160. https://www.encyclopediaofmath.org/legacyimages/l/l059/l059410/l05941048.png ; $Q _ { 3 } ( b )$ ; confidence 0.962
+
160. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130140/r1301406.png ; $\sigma ( R ) \backslash \lambda$ ; confidence 0.997
  
161. https://www.encyclopediaofmath.org/legacyimages/r/r081/r081390/r08139031.png ; $v _ { 2 } \in V _ { 2 }$ ; confidence 0.962
+
161. https://www.encyclopediaofmath.org/legacyimages/s/s083/s083170/s08317053.png ; $m _ { i } = 0$ ; confidence 0.997
  
162. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090830/s0908308.png ; $m : B \rightarrow A$ ; confidence 0.962
+
162. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086450/s08645013.png ; $A _ { \delta }$ ; confidence 0.997
  
163. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120060/t120060116.png ; $E ^ { Q } ( N )$ ; confidence 0.962
+
163. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s130510126.png ; $\gamma ( u ) < \infty$ ; confidence 0.997
  
164. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120150/t1201505.png ; $\eta \in A \mapsto \xi \eta \in A$ ; confidence 0.962
+
164. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087820/s08782077.png ; $| \frac { 1 } { 1 - H \lambda _ { i } } | < 1$ ; confidence 0.997
  
165. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240200.png ; $H : X _ { 3 } \beta = 0$ ; confidence 0.961
+
165. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090780/s09078074.png ; $\Phi ^ { \prime \prime } ( + 0 ) = - h$ ; confidence 0.997
  
166. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240261.png ; $\psi = \sum _ { i = 1 } ^ { q } d _ { i } \zeta _ { i }$ ; confidence 0.961
+
166. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091390/s09139063.png ; $x _ { 1 } ^ { 2 } = 0$ ; confidence 0.997
  
167. https://www.encyclopediaofmath.org/legacyimages/c/c027/c027620/c0276205.png ; $F \in L ^ { * }$ ; confidence 0.961
+
167. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092470/t09247071.png ; $E _ { 1 } E _ { 2 } E _ { 3 }$ ; confidence 0.997
  
168. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120050/k1200504.png ; $B = \sum _ { j = 1 } ^ { t } b _ { j } B _ { j }$ ; confidence 0.961
+
168. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094600/t09460022.png ; $f _ { 0 } \neq 0$ ; confidence 0.997
  
169. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058140/l0581405.png ; $s = \int _ { a } ^ { b } \sqrt { 1 + [ f ^ { \prime } ( x ) ] ^ { 2 } } d x$ ; confidence 0.961
+
169. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094650/t09465036.png ; $( \phi \& \psi )$ ; confidence 0.997
  
170. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064700/m0647004.png ; $\alpha = \gamma ( 0 )$ ; confidence 0.961
+
170. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096040/v0960408.png ; $s ( r )$ ; confidence 0.997
  
171. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240105.png ; $y$ ; confidence 0.961
+
171. https://www.encyclopediaofmath.org/legacyimages/v/v120/v120020/v1200207.png ; $f ^ { * } : H ^ { * } ( Y ) \rightarrow H ^ { * } ( X )$ ; confidence 0.997
  
172. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021010.png ; $\omega = p d z = p ( z ) d z$ ; confidence 0.960
+
172. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097310/w09731010.png ; $\partial ^ { 2 } u / \partial x ^ { 2 } + \partial ^ { 2 } u / \partial y ^ { 2 } + k ^ { 2 } u = 0$ ; confidence 0.997
  
173. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026830/c02683020.png ; $\sum _ { 2 } = \sum _ { \nu \in \langle \nu \rangle } U _ { 2 } ( n - D \nu )$ ; confidence 0.960
+
173. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120170/w12017064.png ; $l \equiv 2 ( \operatorname { mod } 3 )$ ; confidence 0.997
  
174. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230111.png ; $E ( L )$ ; confidence 0.960
+
174. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120180/w12018046.png ; $t _ { 1 } \in D ^ { - }$ ; confidence 0.997
  
175. https://www.encyclopediaofmath.org/legacyimages/h/h130/h130090/h13009043.png ; $g _ { i } \in A$ ; confidence 0.960
+
175. https://www.encyclopediaofmath.org/legacyimages/w/w098/w098040/w09804013.png ; $p ( n + 1 ) / 2$ ; confidence 0.997
  
176. https://www.encyclopediaofmath.org/legacyimages/x/x120/x120020/x12002033.png ; $D ( R )$ ; confidence 0.960
+
176. https://www.encyclopediaofmath.org/legacyimages/z/z130/z130050/z13005046.png ; $I = ( f )$ ; confidence 0.997
  
177. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010161.png ; $k ^ { 2 } ( A )$ ; confidence 0.959
+
177. https://www.encyclopediaofmath.org/legacyimages/z/z120/z120020/z12002043.png ; $1.609$ ; confidence 0.997
  
178. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120400/b12040052.png ; $\mathfrak { h } \subset \mathfrak { g }$ ; confidence 0.959
+
178. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087080/s08708088.png ; $I ( T , \lambda )$ ; confidence 0.997
  
179. https://www.encyclopediaofmath.org/legacyimages/b/b130/b130270/b1302706.png ; $Q ( H ) = B ( H ) / K ( H )$ ; confidence 0.959
+
179. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110150/a11015023.png ; $\alpha ( S )$ ; confidence 0.997
  
180. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050730/i05073063.png ; $K \subset H$ ; confidence 0.959
+
180. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120313.png ; $E = G$ ; confidence 0.997
  
181. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051000/i05100028.png ; $- \infty < a < + \infty$ ; confidence 0.959
+
181. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058470/l0584708.png ; $0 \leq i < n$ ; confidence 0.997
  
182. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010221.png ; $\delta A \leq \frac { 1 } { n } \operatorname { min } _ { k \neq i } \frac { | \lambda _ { i } - \lambda _ { k } | } { \| E _ { i } \| + \| E _ { k } \| }$ ; confidence 0.958
+
182. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010800/a01080026.png ; $= 2 \{ \omega ( [ U , Z ] ) - U \omega ( Z ) + Z \omega ( U ) \} B ( X , Y )$ ; confidence 0.997
  
183. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001095.png ; $\operatorname { dim } ( S ) = 4 n + 3$ ; confidence 0.958
+
183. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120382.png ; $\phi ^ { * } ( z ) \in E ^ { 1 }$ ; confidence 0.997
  
184. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240330.png ; $( p \times p _ { 1 } )$ ; confidence 0.958
+
184. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121082.png ; $q = q ( x , \lambda )$ ; confidence 0.997
  
185. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011780/a01178066.png ; $p \in C$ ; confidence 0.958
+
185. https://www.encyclopediaofmath.org/legacyimages/i/i052/i052350/i052350102.png ; $\pi : X \rightarrow W$ ; confidence 0.997
  
186. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031850/d031850109.png ; $( \frac { u } { v } ) ^ { \prime } = \frac { u ^ { \prime } v - u v ^ { \prime } } { v ^ { 2 } }$ ; confidence 0.958
+
186. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110070/a11007038.png ; $( X ) < \infty$ ; confidence 0.997
  
187. https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023094.png ; $\sigma ^ { k } : M \rightarrow E ^ { k }$ ; confidence 0.958
+
187. https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690082.png ; $H ^ { 1 } ( R _ { G } ( X ) )$ ; confidence 0.997
  
188. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062550/m06255050.png ; $0 \leq w \leq v$ ; confidence 0.958
+
188. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120040/a1200403.png ; $D ( A )$ ; confidence 0.997
  
189. https://www.encyclopediaofmath.org/legacyimages/o/o110/o110030/o11003037.png ; $K _ { \omega }$ ; confidence 0.958
+
189. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077630/r07763022.png ; $X ( T ) \otimes R$ ; confidence 0.997
  
190. https://www.encyclopediaofmath.org/legacyimages/p/p073/p073270/p07327037.png ; $q ^ { ( n ) } = d ^ { n } q / d x ^ { n }$ ; confidence 0.958
+
190. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130120/a1301203.png ; $t - ( v , k , \lambda )$ ; confidence 0.997
  
191. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074160/p07416055.png ; $\rho = | y |$ ; confidence 0.958
+
191. https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004016.png ; $\Gamma \backslash H ^ { * }$ ; confidence 0.997
  
192. https://www.encyclopediaofmath.org/legacyimages/s/s086/s086810/s086810108.png ; $W _ { p } ^ { m } ( I ^ { d } )$ ; confidence 0.958
+
192. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010710/a01071032.png ; $1 \leq i \leq n$ ; confidence 0.997
  
193. https://www.encyclopediaofmath.org/legacyimages/x/x120/x120010/x12001022.png ; $\sigma \in \operatorname { Aut } ( R )$ ; confidence 0.958
+
193. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120080/a12008054.png ; $A ( t )$ ; confidence 0.997
  
194. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240365.png ; $( p \times p )$ ; confidence 0.958
+
194. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120461.png ; $( F ^ { \prime } , F )$ ; confidence 0.997
  
195. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a01165079.png ; $H$ ; confidence 0.957
+
195. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010291.png ; $G ( A )$ ; confidence 0.997
  
196. https://www.encyclopediaofmath.org/legacyimages/c/c020/c020960/c02096032.png ; $y _ { n + 1 } = y _ { n } + \frac { h } { 2 } ( f _ { n + 1 } + f _ { n } )$ ; confidence 0.957
+
196. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150014.png ; $\theta = \int _ { 0 } ^ { \lambda } \frac { d x } { \sqrt { ( 1 - c ^ { 2 } x ^ { 2 } ) ( 1 - e ^ { 2 } x ^ { 2 } ) } }$ ; confidence 0.997
  
197. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023110/c023110101.png ; $Z G$ ; confidence 0.957
+
197. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240503.png ; $j = 1,2,3$ ; confidence 0.997
  
198. https://www.encyclopediaofmath.org/legacyimages/c/c026/c026250/c0262508.png ; $( f _ { 1 } + f _ { 2 } ) ( x ) = f _ { 1 } ( x ) + f _ { 2 } ( x )$ ; confidence 0.957
+
198. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110100/a11010082.png ; $\int w f d \mu = f ( x )$ ; confidence 0.997
  
199. https://www.encyclopediaofmath.org/legacyimages/d/d033/d033530/d033530372.png ; $d _ { n } \ll p _ { n } ^ { \theta }$ ; confidence 0.957
+
199. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010272.png ; $B = A ^ { T }$ ; confidence 0.997
  
200. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120210/f1202105.png ; $| z | < r$ ; confidence 0.957
+
200. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110370/a11037050.png ; $c ( t - s ) X ( 1 ) + d ( t - s )$ ; confidence 0.997
  
201. https://www.encyclopediaofmath.org/legacyimages/m/m110/m110220/m11022016.png ; $\lambda ^ { * } \in R ^ { m }$ ; confidence 0.957
+
201. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d030700185.png ; $H ^ { 1 } ( X _ { 0 } , T _ { X _ { 0 } } )$ ; confidence 0.997
  
202. https://www.encyclopediaofmath.org/legacyimages/p/p072/p072430/p0724307.png ; $\epsilon \ll 1$ ; confidence 0.957
+
202. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010174.png ; $R = A ^ { T } - A ^ { T } A B$ ; confidence 0.997
  
203. https://www.encyclopediaofmath.org/legacyimages/s/s090/s090760/s09076026.png ; $L _ { 0 } ^ { * } = L _ { 1 }$ ; confidence 0.957
+
203. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l05872023.png ; $( x , y ) \rightarrow [ x , y ] = x y - y x$ ; confidence 0.997
  
204. https://www.encyclopediaofmath.org/legacyimages/v/v130/v130050/v130050114.png ; $1 _ { n } ( w ) = 0$ ; confidence 0.957
+
204. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047700/h04770011.png ; $\phi : G \rightarrow X$ ; confidence 0.997
  
205. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009092.png ; $f \in B ( m / n )$ ; confidence 0.956
+
205. https://www.encyclopediaofmath.org/legacyimages/w/w097/w097710/w0977105.png ; $W ( T , G ) = N _ { G } ( T ) / Z _ { G } ( T )$ ; confidence 0.997
  
206. https://www.encyclopediaofmath.org/legacyimages/b/b017/b017800/b01780036.png ; $d \geq n$ ; confidence 0.956
+
206. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h04769094.png ; $\Gamma \subset G$ ; confidence 0.997
  
207. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031850/d03185095.png ; $x \neq \pm 1$ ; confidence 0.956
+
207. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110020/a11002058.png ; $m = 3 ^ { t }$ ; confidence 0.997
  
208. https://www.encyclopediaofmath.org/legacyimages/f/f120/f120130/f12013083.png ; $| \Phi ( G )$ ; confidence 0.956
+
208. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830346.png ; $( A _ { k } ) < \operatorname { rank } ( B _ { k } )$ ; confidence 0.997
  
209. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003048.png ; $I _ { U } = \{ ( u _ { \lambda } ) _ { \lambda \in \Lambda }$ ; confidence 0.956
+
209. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014190/a01419020.png ; $\phi ( t )$ ; confidence 0.997
  
210. https://www.encyclopediaofmath.org/legacyimages/h/h048/h048390/h04839015.png ; $U ^ { ( 2 ) }$ ; confidence 0.956
+
210. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l058510181.png ; $0 \leq p \leq ( n + 1 ) / 2$ ; confidence 0.997
  
211. https://www.encyclopediaofmath.org/legacyimages/l/l110/l110020/l11002085.png ; $x \preceq y$ ; confidence 0.956
+
211. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011460/a01146072.png ; $\gamma ( Z ) = \gamma ( Z ^ { \prime } )$ ; confidence 0.997
  
212. https://www.encyclopediaofmath.org/legacyimages/r/r130/r130100/r13010034.png ; $D _ { n }$ ; confidence 0.956
+
212. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120120/a12012050.png ; $0 \leq y ^ { \prime } \leq y$ ; confidence 0.997
  
213. https://www.encyclopediaofmath.org/legacyimages/s/s087/s087110/s08711028.png ; $\delta < \alpha$ ; confidence 0.956
+
213. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018050.png ; $s _ { 1 } = 1$ ; confidence 0.997
  
214. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110210.png ; $G = G ^ { \sigma }$ ; confidence 0.956
+
214. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120030/k12003011.png ; $\operatorname { Ric } ( \omega ) = 0$ ; confidence 0.997
  
215. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010297.png ; $F ( A ) = e ^ { A }$ ; confidence 0.956
+
215. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004078.png ; $h ( \varphi ) \in F$ ; confidence 0.997
  
216. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030790/d0307909.png ; $\lambda ^ { m }$ ; confidence 0.955
+
216. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a01164058.png ; $\pi = \{ ( D ^ { 2 } ) + ( D K _ { V } ) \} / 2 + 1$ ; confidence 0.997
  
217. https://www.encyclopediaofmath.org/legacyimages/f/f038/f038470/f03847048.png ; $\tau _ { 0 } = 0$ ; confidence 0.955
+
217. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a011300124.png ; $\Delta _ { 1 } ( t )$ ; confidence 0.997
  
218. https://www.encyclopediaofmath.org/legacyimages/g/g044/g044770/g04477022.png ; $[ \Psi / \Phi ] \Phi$ ; confidence 0.955
+
218. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120170/a12017018.png ; $K ( t ) = \beta ( t ) \Pi ( t )$ ; confidence 0.997
  
219. https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h046420157.png ; $d g = d h d k$ ; confidence 0.955
+
219. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l058720136.png ; $m = n , n + 1,2 n$ ; confidence 0.997
  
220. https://www.encyclopediaofmath.org/legacyimages/i/i110/i110020/i11002068.png ; $( \lambda \odot \mu ) \odot v = \lambda \odot ( \mu \odot v )$ ; confidence 0.955
+
220. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450158.png ; $g < 11$ ; confidence 0.997
  
221. https://www.encyclopediaofmath.org/legacyimages/q/q076/q076310/q07631081.png ; $H _ { i } \in \mathfrak { g }$ ; confidence 0.955
+
221. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110380/a11038042.png ; $\approx 0$ ; confidence 0.997
  
222. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010192.png ; $T ^ { - 1 } A T = \Lambda$ ; confidence 0.955
+
222. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120200/a12020090.png ; $P ( T ) \in J$ ; confidence 0.997
  
223. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018024.png ; $\sigma > \sigma 0$ ; confidence 0.954
+
223. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110080/a11008015.png ; $x = 0$ ; confidence 0.997
  
224. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110490/a1104901.png ; $D = d / d t$ ; confidence 0.954
+
224. https://www.encyclopediaofmath.org/legacyimages/j/j054/j054270/j05427034.png ; $F _ { n } ^ { ( + ) }$ ; confidence 0.997
  
225. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110200/c11020072.png ; $\lambda \in \Lambda$ ; confidence 0.954
+
225. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070010/o07001029.png ; $U \subset X / G$ ; confidence 0.997
  
226. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032240/d03224071.png ; $d \omega = d \square ^ { * } \omega = 0$ ; confidence 0.954
+
226. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110330/a11033039.png ; $0.78 / \sqrt { b }$ ; confidence 0.997
  
227. https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e036960205.png ; $\nu - 1 / 2 \in Z$ ; confidence 0.954
+
227. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f040820210.png ; $F ( X , Y )$ ; confidence 0.997
  
228. https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g04509046.png ; $y ( \alpha ) = 0$ ; confidence 0.954
+
228. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110040/a11004027.png ; $\operatorname { deg } \lambda$ ; confidence 0.997
  
229. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051620/i051620138.png ; $\Gamma = \partial D _ { 1 } \times \square \ldots \times \partial D _ { n }$ ; confidence 0.954
+
229. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120180/a12018074.png ; $\Delta ^ { 2 }$ ; confidence 0.997
  
230. https://www.encyclopediaofmath.org/legacyimages/t/t092/t092730/t09273032.png ; $M = M _ { 1 } \# M _ { 2 }$ ; confidence 0.954
+
230. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040820/f04082022.png ; $H ( B _ { 1 } ) \rightarrow H ( B _ { 2 } )$ ; confidence 0.997
  
231. https://www.encyclopediaofmath.org/legacyimages/u/u095/u095230/u09523081.png ; $\{ d f _ { n } / d x \}$ ; confidence 0.954
+
231. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121049.png ; $\lambda > 0 , \lambda \rightarrow \infty$ ; confidence 0.997
  
232. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b120150110.png ; $d : N \cup \{ 0 \} \rightarrow R$ ; confidence 0.953
+
232. https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090248.png ; $\Phi = \Phi ^ { + } \cup \Phi ^ { - }$ ; confidence 0.997
  
233. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031280/d03128063.png ; $s ^ { \prime } : Y ^ { \prime } \rightarrow X ^ { \prime }$ ; confidence 0.953
+
233. https://www.encyclopediaofmath.org/legacyimages/c/c023/c023470/c02347040.png ; $\{ R ^ { \alpha } : \alpha \in I \}$ ; confidence 0.997
  
234. https://www.encyclopediaofmath.org/legacyimages/e/e037/e037080/e03708021.png ; $r > n$ ; confidence 0.953
+
234. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120030/k1200301.png ; $\operatorname { Ric } ( \omega )$ ; confidence 0.997
  
235. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047390/h047390181.png ; $V = V ^ { + } \oplus V ^ { - }$ ; confidence 0.953
+
235. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a11001019.png ; $\delta A$ ; confidence 0.997
  
236. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130070/i13007010.png ; $q ( x ) \in L ^ { 2 } \operatorname { loc } ( R ^ { 3 } )$ ; confidence 0.953
+
236. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120150/b120150101.png ; $N \cup \{ 0 \}$ ; confidence 0.997
  
237. https://www.encyclopediaofmath.org/legacyimages/l/l060/l060220/l0602207.png ; $\in \Theta$ ; confidence 0.953
+
237. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012540/a0125406.png ; $D = [ Z _ { G } ( S ) , Z _ { G } ( S ) ]$ ; confidence 0.997
  
238. https://www.encyclopediaofmath.org/legacyimages/l/l120/l120190/l12019039.png ; $x = - \sum _ { k = 0 } ^ { \infty } ( A ^ { * } ) ^ { k } C ( A ) ^ { k }$ ; confidence 0.953
+
238. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005057.png ; $\| f ( t ) - f ( s ) \| \leq C _ { 1 } | t - s | ^ { \alpha } , \quad s , t \in [ 0 , T ]$ ; confidence 0.997
  
239. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093900/t093900154.png ; $g _ { k } = ( 1 + y _ { k } ) / 2$ ; confidence 0.953
+
239. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120304.png ; $A ( f ) = \int _ { \gamma } f ( z ) g ( z ) d z$ ; confidence 0.997
  
240. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010151.png ; $k ( A ) = \| A \| _ { 2 } \| A ^ { + } \| _ { 2 }$ ; confidence 0.953
+
240. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120486.png ; $( F , \tau )$ ; confidence 0.997
  
241. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240135.png ; $A$ ; confidence 0.952
+
241. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074640/p0746401.png ; $( P , B , G , \pi )$ ; confidence 0.997
  
242. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110010/a110010282.png ; $A _ { i } \in R ^ { n \times n }$ ; confidence 0.952
+
242. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a11042065.png ; $( K _ { 0 } ( B ) , K _ { 0 } ( B ) ^ { + } , \Sigma ( B ) )$ ; confidence 0.997
  
243. https://www.encyclopediaofmath.org/legacyimages/d/d030/d030700/d03070037.png ; $\pi ^ { \prime } : X ^ { \prime } \rightarrow S ^ { \prime }$ ; confidence 0.952
+
243. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a011370115.png ; $f , \overline { f } \in A$ ; confidence 0.997
  
244. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047210/h0472103.png ; $C$ ; confidence 0.952
+
244. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d034120269.png ; $f _ { n } ( z ) \rightarrow f ( z )$ ; confidence 0.997
  
245. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051090/i05109035.png ; $\Theta$ ; confidence 0.952
+
245. https://www.encyclopediaofmath.org/legacyimages/a/a014/a014170/a014170113.png ; $f : X \rightarrow V$ ; confidence 0.997
  
246. https://www.encyclopediaofmath.org/legacyimages/i/i051/i051430/i05143058.png ; $| \lambda | < 1 / M ( b - \alpha )$ ; confidence 0.952
+
246. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031830/d031830393.png ; $A = 0$ ; confidence 0.997
  
247. https://www.encyclopediaofmath.org/legacyimages/j/j130/j130040/j13004079.png ; $s ( L ) \geq ( E - e ) / 2$ ; confidence 0.952
+
247. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120210/b1202103.png ; $U ( \mathfrak { g } )$ ; confidence 0.997
  
248. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064870/m06487010.png ; $\xi = x _ { m }$ ; confidence 0.952
+
248. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058510/l05851051.png ; $\beta ( H _ { \alpha } ) = \frac { 2 ( \alpha , \beta ) } { ( \alpha , \alpha ) } , \quad \alpha , \beta \in \Sigma$ ; confidence 0.997
  
249. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420125.png ; $( K _ { 0 } ( A ) , K _ { 0 } ( A ) ^ { + } )$ ; confidence 0.951
+
249. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640137.png ; $M = \operatorname { dim } \operatorname { Im } ( H ^ { 1 } ( V , E _ { \alpha } ) \rightarrow H ^ { 1 } ( V , T _ { V } ) )$ ; confidence 0.997
  
250. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120310/a120310112.png ; $M ( C ( S ) , \alpha _ { 1 } , G _ { 1 } )$ ; confidence 0.951
+
250. https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r07764092.png ; $\operatorname { dim } X = 2$ ; confidence 0.997
  
251. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001061.png ; $\Gamma \subset SU ( 2 )$ ; confidence 0.951
+
251. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010220/a01022091.png ; $p = 4$ ; confidence 0.997
  
252. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015110/b01511064.png ; $\mu = \delta _ { X }$ ; confidence 0.951
+
252. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040576.png ; $\frac { \varphi } { \square \varphi }$ ; confidence 0.997
  
253. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015870/b01587024.png ; $( 1 - \Delta ) ^ { m } P _ { \alpha } ( x ) = P _ { \alpha - 2 m } ( x )$ ; confidence 0.951
+
253. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040270/f04027014.png ; $| G | = m n$ ; confidence 0.997
  
254. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022700/c02270026.png ; $g : Y \rightarrow Z$ ; confidence 0.951
+
254. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018035.png ; $\sigma _ { 1 } - 1 < \beta < \sigma _ { 1 }$ ; confidence 0.997
  
255. https://www.encyclopediaofmath.org/legacyimages/m/m130/m130230/m130230127.png ; $\phi : X ^ { \prime } \rightarrow Y$ ; confidence 0.951
+
255. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130080/a13008086.png ; $s ^ { 2 } = ( R - m ) ( m - L )$ ; confidence 0.997
  
256. https://www.encyclopediaofmath.org/legacyimages/p/p074/p074010/p07401072.png ; $F _ { 5 } ^ { \mu } = C _ { 4 } \cap F _ { 8 } ^ { \mu }$ ; confidence 0.951
+
256. https://www.encyclopediaofmath.org/legacyimages/m/m065/m065570/m06557032.png ; $h ( X _ { 1 } ) = 0$ ; confidence 0.997
  
257. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130060/a13006083.png ; $\overline { H }$ ; confidence 0.950
+
257. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121059.png ; $S ( x , \alpha ) = \alpha x - x ^ { 3 } + O ( x ^ { 4 } ) \quad \text { as } x \rightarrow 0$ ; confidence 0.997
  
258. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120300/b12030013.png ; $q \in Z ^ { N }$ ; confidence 0.950
+
258. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110490/a11049015.png ; $R , R ^ { \prime } \in R _ { D }$ ; confidence 0.997
  
259. https://www.encyclopediaofmath.org/legacyimages/d/d031/d031010/d03101088.png ; $S ^ { 4 k - 1 }$ ; confidence 0.950
+
259. https://www.encyclopediaofmath.org/legacyimages/d/d034/d034120/d03412091.png ; $H _ { r } ( R , X )$ ; confidence 0.997
  
260. https://www.encyclopediaofmath.org/legacyimages/h/h120/h120010/h12001013.png ; $X ^ { ( r ) } \rightarrow V$ ; confidence 0.950
+
260. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a01021041.png ; $( B _ { i j } )$ ; confidence 0.997
  
261. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055820/k0558203.png ; $\square ^ { 1 } S _ { 2 } ( i )$ ; confidence 0.950
+
261. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a01137054.png ; $| f ( x ) | < | f ( x _ { 0 } ) |$ ; confidence 0.997
  
262. https://www.encyclopediaofmath.org/legacyimages/n/n067/n067080/n06708018.png ; $y ^ { * } = \alpha ( g ^ { * } )$ ; confidence 0.950
+
262. https://www.encyclopediaofmath.org/legacyimages/g/g130/g130020/g13002048.png ; $\geq [ ( d + 1 ) / 2 ]$ ; confidence 0.997
  
263. https://www.encyclopediaofmath.org/legacyimages/s/s091/s091960/s0919603.png ; $R = \{ \pi ( i ) : \square i \in I \}$ ; confidence 0.950
+
263. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590453.png ; $f _ { \lambda } ( z ) = F ( z , \lambda )$ ; confidence 0.997
  
264. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096380/v09638042.png ; $G ^ { k } ( V ) \times V$ ; confidence 0.950
+
264. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a1300706.png ; $\sigma ( n ) = 2 n$ ; confidence 0.997
  
265. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110790/a11079027.png ; $M \subset G$ ; confidence 0.949
+
265. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058680/l05868035.png ; $\Gamma _ { 0 } \subset M \subset \Gamma _ { 1 }$ ; confidence 0.997
  
266. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015390/b01539050.png ; $\theta = \theta _ { i }$ ; confidence 0.949
+
266. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011300/a01130061.png ; $\gamma _ { \sigma } : G ( k ) \rightarrow J$ ; confidence 0.997
  
267. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110050/c11005025.png ; $X _ { t } = 2.632 + 1.492 X _ { t - 1 } - 1.324 X _ { t - 2 } + \epsilon _ { t } ^ { ( 2 ) }$ ; confidence 0.949
+
267. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011450/a011450251.png ; $g > 2$ ; confidence 0.997
  
268. https://www.encyclopediaofmath.org/legacyimages/c/c110/c110170/c1101705.png ; $D _ { p }$ ; confidence 0.949
+
268. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120200/a12020077.png ; $T \in L _ { 0 } ( X )$ ; confidence 0.997
  
269. https://www.encyclopediaofmath.org/legacyimages/e/e035/e035550/e035550128.png ; $\alpha ( X ) = \operatorname { tr } \operatorname { deg } M ( X )$ ; confidence 0.949
+
269. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a011210108.png ; $j = 1,2,3$ ; confidence 0.997
  
270. https://www.encyclopediaofmath.org/legacyimages/t/t094/t094540/t09454051.png ; $\{ \omega _ { n } ^ { + } ( V ) \}$ ; confidence 0.949
+
270. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047690/h0476904.png ; $G \times M$ ; confidence 0.996
  
271. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010180/a01018056.png ; $A _ { n } = \sum _ { j = 1 } ^ { k } B _ { j } n ^ { s _ { j } } ( \operatorname { ln } n ) ^ { \alpha _ { j } } + O ( n ^ { \beta } )$ ; confidence 0.948
+
271. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011100/a01110047.png ; $A ^ { \prime } \subset A$ ; confidence 0.996
  
272. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t120010101.png ; $Z = G / U ( 1 ) . K$ ; confidence 0.948
+
272. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110380/a110380142.png ; $K ( P , 3 = 3 )$ ; confidence 0.996
  
273. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001064.png ; $s ^ { 3 }$ ; confidence 0.948
+
273. https://www.encyclopediaofmath.org/legacyimages/k/k120/k120030/k12003029.png ; $\operatorname { Ric } ( \omega ) = \omega$ ; confidence 0.996
  
274. https://www.encyclopediaofmath.org/legacyimages/b/b120/b120140/b12014039.png ; $a ( z )$ ; confidence 0.948
+
274. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a12005046.png ; $0 \leq \beta _ { i } < \alpha _ { i } \leq 2$ ; confidence 0.996
  
275. https://www.encyclopediaofmath.org/legacyimages/b/b016/b016970/b0169702.png ; $x ^ { \sigma } = x$ ; confidence 0.948
+
275. https://www.encyclopediaofmath.org/legacyimages/f/f040/f040550/f04055046.png ; $F _ { \nu } ( V )$ ; confidence 0.996
  
276. https://www.encyclopediaofmath.org/legacyimages/d/d032/d032130/d032130311.png ; $\omega \in \Omega ^ { d } [ X ]$ ; confidence 0.948
+
276. https://www.encyclopediaofmath.org/legacyimages/m/m062/m062170/m06217010.png ; $Z ( A )$ ; confidence 0.996
  
277. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i050230228.png ; $D _ { j } ^ { l } f \in L _ { p } ( R ^ { n } )$ ; confidence 0.948
+
277. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010520/a01052058.png ; $A ( h ) h ^ { - q }$ ; confidence 0.996
  
278. https://www.encyclopediaofmath.org/legacyimages/m/m064/m064420/m06442050.png ; $k = m / 2$ ; confidence 0.948
+
278. https://www.encyclopediaofmath.org/legacyimages/o/o070/o070010/o07001082.png ; $Y \mapsto A Y A ^ { - 1 }$ ; confidence 0.996
  
279. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013014.png ; $\Leftrightarrow [ \frac { \partial } { \partial x } - P , \frac { \partial } { \partial t _ { n } } - Q ^ { ( n ) } ] = 0$ ; confidence 0.947
+
279. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a01121014.png ; $v ( z ) = \frac { w _ { 1 } ( z ) - w _ { 2 } ( z ) } { 2 i } , \quad \overline { w _ { 1 } ( z ) } = w _ { 2 } ( z )$ ; confidence 0.996
  
280. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013030.png ; $( \partial / \partial x ) - P _ { 0 } z$ ; confidence 0.947
+
280. https://www.encyclopediaofmath.org/legacyimages/h/h047/h047700/h04770013.png ; $\psi \pi = \phi$ ; confidence 0.996
  
281. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130130/a13013093.png ; $P _ { n + 1 } = \sum _ { i = 0 } ^ { n + 1 } u _ { i } ( \frac { d } { d x } ) ^ { i }$ ; confidence 0.947
+
281. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010810/a01081072.png ; $y ( 0 ) + \alpha y ( 1 ) + \beta \dot { y } ( 1 ) = 0$ ; confidence 0.996
  
282. https://www.encyclopediaofmath.org/legacyimages/a/a012/a012090/a0120907.png ; $\alpha \neq 0$ ; confidence 0.947
+
282. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058720/l058720130.png ; $+ 1 \equiv 0$ ; confidence 0.996
  
283. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022450/c0224501.png ; $x ( t ) : R \rightarrow R ^ { n }$ ; confidence 0.947
+
283. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040577.png ; $\frac { \varphi , \varphi \rightarrow \psi } { \psi }$ ; confidence 0.996
  
284. https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780210.png ; $x _ { i } / ( e ^ { x _ { i } } - 1 )$ ; confidence 0.947
+
284. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650433.png ; $B _ { \alpha } \subseteq B$ ; confidence 0.996
  
285. https://www.encyclopediaofmath.org/legacyimages/c/c024/c024730/c024730113.png ; $P _ { i j } = \frac { 1 } { n - 2 } R _ { j } - \delta _ { j } ^ { i } \frac { R } { 2 ( n - 1 ) ( n - 2 ) }$ ; confidence 0.947
+
285. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011500/a01150024.png ; $y ^ { 2 } = ( 1 - c ^ { 2 } x ^ { 2 } ) ( 1 - e ^ { 2 } x ^ { 2 } )$ ; confidence 0.996
  
286. https://www.encyclopediaofmath.org/legacyimages/f/f130/f130090/f1300908.png ; $U _ { n } ( x ) = \frac { \alpha ^ { n } ( x ) - \beta ^ { n } ( x ) } { \alpha ( x ) - \beta ( x ) }$ ; confidence 0.947
+
286. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110490/a11049039.png ; $y \in \operatorname { dom } D$ ; confidence 0.996
  
287. https://www.encyclopediaofmath.org/legacyimages/f/f041/f041160/f04116031.png ; $\alpha = - b$ ; confidence 0.947
+
287. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010210/a010210137.png ; $F ( z , w ) = 0$ ; confidence 0.996
  
288. https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840272.png ; $E ( \Delta ) K \subset D ( A )$ ; confidence 0.947
+
288. https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590279.png ; $z \in D \backslash P$ ; confidence 0.996
  
289. https://www.encyclopediaofmath.org/legacyimages/o/o068/o068500/o06850051.png ; $\sigma \leq t \leq \theta$ ; confidence 0.947
+
289. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011520/a0115207.png ; $g ( h x ) = ( g h ) x$ ; confidence 0.996
  
290. https://www.encyclopediaofmath.org/legacyimages/r/r080/r080180/r0801808.png ; $t _ { k } \in R$ ; confidence 0.947
+
290. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120150/a12015060.png ; $G = U ( n )$ ; confidence 0.996
  
291. https://www.encyclopediaofmath.org/legacyimages/s/s110/s110280/s11028060.png ; $\sum _ { i = 1 } ^ { r } \alpha _ { i } \theta ( b _ { i } ) \in Z [ G ]$ ; confidence 0.947
+
291. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011640/a011640139.png ; $\operatorname { dim } _ { k } H ^ { 2 } ( V , E _ { \alpha } ) + \operatorname { dim } _ { k } H ^ { 2 } ( V , T _ { V } )$ ; confidence 0.996
  
292. https://www.encyclopediaofmath.org/legacyimages/t/t120/t120010/t12001029.png ; $C ( S )$ ; confidence 0.946
+
292. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010640/a01064014.png ; $k _ { 1 } = k _ { 2 } = 2$ ; confidence 0.996
  
293. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240218.png ; $z = \Gamma y$ ; confidence 0.946
+
293. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110220/a11022070.png ; $\Omega = C _ { 0 } [ 0 , \infty )$ ; confidence 0.996
  
294. https://www.encyclopediaofmath.org/legacyimages/b/b015/b015380/b0153803.png ; $A _ { i } \Gamma \cap A _ { j } = \emptyset$ ; confidence 0.946
+
294. https://www.encyclopediaofmath.org/legacyimages/a/a110/a110460/a11046031.png ; $A , \chi , \eta$ ; confidence 0.996
  
295. https://www.encyclopediaofmath.org/legacyimages/i/i050/i050030/i050030120.png ; $A \backslash I$ ; confidence 0.946
+
295. https://www.encyclopediaofmath.org/legacyimages/a/a011/a011100/a0111006.png ; $A \times A$ ; confidence 0.996
  
296. https://www.encyclopediaofmath.org/legacyimages/i/i130/i130040/i1300404.png ; $\sum _ { k = 1 } ^ { \infty } b _ { k } \operatorname { sin } k x$ ; confidence 0.946
+
296. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130120/a13012028.png ; $k = s \mu , v = s ^ { 2 } \mu , \lambda = \frac { s \mu - 1 } { \mu - 1 } , r = \frac { s ^ { 2 } \mu - 1 } { \mu - 1 }$ ; confidence 0.996
  
297. https://www.encyclopediaofmath.org/legacyimages/t/t093/t093900/t093900196.png ; $T _ { 23 } n ( \operatorname { cos } \pi \omega )$ ; confidence 0.946
+
297. https://www.encyclopediaofmath.org/legacyimages/l/l058/l058480/l05848051.png ; $A _ { k } \subset A$ ; confidence 0.996
  
298. https://www.encyclopediaofmath.org/legacyimages/v/v096/v096350/v0963509.png ; $( a + b ) + c = a + ( b + c )$ ; confidence 0.946
+
298. https://www.encyclopediaofmath.org/legacyimages/a/a010/a010840/a01084022.png ; $\phi ^ { * } : M ^ { * } \rightarrow L ^ { * }$ ; confidence 0.996
  
299. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240417.png ; $( n - r ) ^ { - 1 } M _ { E }$ ; confidence 0.945
+
299. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120070/a12007085.png ; $\delta \in ( 0 , \eta ) \cap ( 0 , \rho ]$ ; confidence 0.996
  
300. https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240213.png ; $7$ ; confidence 0.945
+
300. https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050104.png ; $( t , s ) \in \Delta = \{ ( t , s ) : 0 \leq s \leq t \leq T \}$ ; confidence 0.996

Latest revision as of 09:58, 17 October 2019

List

1. a011450171.png ; $84 ( g - 1 )$ ; confidence 0.998

2. a01110056.png ; $\phi : L _ { 1 } \rightarrow L _ { 2 }$ ; confidence 0.998

3. a11002056.png ; $m = q ^ { 2 }$ ; confidence 0.998

4. a011460113.png ; $A ^ { p } ( X )$ ; confidence 0.998

5. a13008031.png ; $\frac { f ^ { \prime } ( L ) } { f ( L ) } = \frac { g ^ { \prime } ( L ; m , s ) } { g ( L ; m , s ) }$ ; confidence 0.997

6. a11008031.png ; $R ( s ) = | \frac { r ( s ) - \sqrt { 1 - s ^ { 2 } } } { r ( s ) + \sqrt { 1 - s ^ { 2 } } } | , \quad s \in [ - 1,1 ]$ ; confidence 0.997

7. a01145081.png ; $( f ) + D \geq 0$ ; confidence 0.997

8. n06690020.png ; $H ^ { 1 } ( C ^ { * } ) = Z ^ { 1 } / \rho$ ; confidence 0.997

9. p07267047.png ; $H ^ { 2 } ( F , O _ { F } ) = 0$ ; confidence 0.997

10. a11044012.png ; $f _ { 1 }$ ; confidence 0.997

11. a010210144.png ; $\int R ( z , w ) d z = \int \omega$ ; confidence 0.997

12. a110040156.png ; $0 \rightarrow E \times E \rightarrow J ( C ) \rightarrow A \rightarrow 0$ ; confidence 0.997

13. j05434023.png ; $C ^ { - 1 } A C$ ; confidence 0.997

14. a011600100.png ; $O _ { k }$ ; confidence 0.997

15. a11025024.png ; $\beta \rightarrow \infty$ ; confidence 0.997

16. a11028084.png ; $c ( G ) = \Theta ( n \operatorname { log } n )$ ; confidence 0.997

17. a130180149.png ; $n > 2$ ; confidence 0.997

18. a01070022.png ; $r ^ { 0 } = \beta$ ; confidence 0.997

19. a01417057.png ; $K ( \Gamma )$ ; confidence 0.997

20. l05852020.png ; $0 \leq i < m$ ; confidence 0.997

21. a011460120.png ; $H ^ { * } ( X )$ ; confidence 0.997

22. r08103021.png ; $W _ { k } ( S , G ) = N ( S ) / Z ( S )$ ; confidence 0.997

23. c02266044.png ; $0 \leq t < 1$ ; confidence 0.997

24. u09524045.png ; $X = F ^ { - 1 } Y$ ; confidence 0.997

25. d031830193.png ; $p + q - n$ ; confidence 0.997

26. a01082059.png ; $\alpha : X \rightarrow G ( Y ^ { \prime } )$ ; confidence 0.997

27. e110070172.png ; $\alpha = - 1$ ; confidence 0.997

28. a11033018.png ; $b = 100$ ; confidence 0.997

29. a01148024.png ; $( x - c ) ^ { k }$ ; confidence 0.997

30. a0102401.png ; $\int _ { z _ { 0 } } ^ { z _ { 1 } } R ( z , w ) d z$ ; confidence 0.997

31. a12007090.png ; $- 1 \leq \alpha _ { i } < \beta _ { i } \leq 1$ ; confidence 0.997

32. a1102705.png ; $K ( \pi , 1 )$ ; confidence 0.997

33. b11104014.png ; $p = 3$ ; confidence 0.997

34. a11010063.png ; $C _ { W } ( X ) = C _ { 0 } ( X )$ ; confidence 0.997

35. a01121036.png ; $\operatorname { arg } ( z + \frac { \pi } { 3 } ) | \leq \pi - \epsilon$ ; confidence 0.997

36. a011640105.png ; $p _ { 12 } = 0$ ; confidence 0.997

37. a01055058.png ; $( X , \phi ) \sim ( X ^ { \prime } , \phi ^ { \prime } )$ ; confidence 0.997

38. a010950129.png ; $\dot { x } ( t )$ ; confidence 0.997

39. k11007014.png ; $U \subseteq G / B$ ; confidence 0.997

40. a12018083.png ; $t = 1$ ; confidence 0.997

41. a011380159.png ; $x + y = y + x$ ; confidence 0.997

42. a1200808.png ; $c ( x ) > 0$ ; confidence 0.997

43. a130050150.png ; $= \prod _ { p \in P } ( 1 - | p | ^ { - z } ) ^ { - 1 } =$ ; confidence 0.997

44. a1302203.png ; $Z ( R )$ ; confidence 0.997

45. a013000105.png ; $A ( E )$ ; confidence 0.997

46. h04797035.png ; $A _ { 0 } = K$ ; confidence 0.997

47. s085590479.png ; $F ( x , y , \lambda )$ ; confidence 0.997

48. a11035022.png ; $\phi _ { \lambda } ^ { 0 } = \phi _ { \lambda }$ ; confidence 0.997

49. a11007027.png ; $L _ { 1 } ( K , \mu )$ ; confidence 0.997

50. a110010298.png ; $f ( \lambda ) = e ^ { \lambda }$ ; confidence 0.997

51. a01068031.png ; $k = 3$ ; confidence 0.997

52. l05872014.png ; $\Lambda _ { p } ( x , y )$ ; confidence 0.997

53. l05859028.png ; $f : G _ { 1 } \rightarrow G _ { 2 }$ ; confidence 0.997

54. a01160033.png ; $6 = 2.3$ ; confidence 0.997

55. a01160026.png ; $( x + y \sqrt { D } ) ( x - y \sqrt { D } ) = 1$ ; confidence 0.997

56. a12010066.png ; $- \Delta$ ; confidence 0.997

57. s085590457.png ; $\Phi _ { \mu } ( x , \lambda ) =$ ; confidence 0.997

58. d034120255.png ; $h ( \phi ) = k ( - \phi ) , \quad \sigma \leq \phi \leq 2 \pi$ ; confidence 0.997

59. w120090153.png ; $\Lambda ^ { + } ( n )$ ; confidence 0.997

60. a01046067.png ; $P _ { \nu } ( x , h )$ ; confidence 0.997

61. a12007069.png ; $t \mapsto A ( t ) ^ { - 1 }$ ; confidence 0.997

62. a01068045.png ; $\{ 2 n - m \}$ ; confidence 0.997

63. a130240344.png ; $1 \times p$ ; confidence 0.997

64. a11007031.png ; $\Pi _ { p } ( H , H )$ ; confidence 0.997

65. a011480119.png ; $p - m q$ ; confidence 0.997

66. a12004010.png ; $x ( t ) \in D ( A )$ ; confidence 0.997

67. d030700253.png ; $H ^ { 2 } ( G , V ) = 0$ ; confidence 0.997

68. s085590429.png ; $p ( Z ) = 1 - \operatorname { dim } H ^ { 0 } ( Z , O _ { Z } ) + \operatorname { dim } H ^ { 1 } ( Z , O _ { Z } )$ ; confidence 0.997

69. a12005059.png ; $u ( t ) \in D ( A ( t ) )$ ; confidence 0.997

70. a120050120.png ; $t \mapsto A ( t )$ ; confidence 0.997

71. f04082021.png ; $B _ { 1 } \rightarrow B _ { 2 }$ ; confidence 0.997

72. a0109108.png ; $\operatorname { lim } _ { t \rightarrow \infty } u ( t ) = u$ ; confidence 0.997

73. l058590188.png ; $f : U _ { 1 } \rightarrow U _ { 2 }$ ; confidence 0.997

74. a130240489.png ; $s = k + 1$ ; confidence 0.997

75. d034120291.png ; $\forall G \in O ^ { F }$ ; confidence 0.997

76. a1302407.png ; $( m \times 1 )$ ; confidence 0.997

77. a11037055.png ; $k > 1$ ; confidence 0.997

78. a01160094.png ; $K = k ( \theta )$ ; confidence 0.997

79. a011820106.png ; $A \leq B$ ; confidence 0.997

80. a01110077.png ; $f : A \rightarrow A$ ; confidence 0.997

81. a12007031.png ; $\| f ( t ) - f ( s ) \| \leq C _ { 1 } | t - s | ^ { \alpha } , \quad 0 \leq s \leq t \leq T$ ; confidence 0.997

82. l05872075.png ; $( L , \pi )$ ; confidence 0.997

83. l05861013.png ; $\square ^ { t }$ ; confidence 0.997

84. a13007098.png ; $n ^ { 0 }$ ; confidence 0.997

85. b0165403.png ; $U ( G )$ ; confidence 0.997

86. p07472095.png ; $y = \gamma x$ ; confidence 0.997

87. a130070127.png ; $2 < \frac { \sigma ( n ) } { n } < 2 + \frac { 2 } { 10 ^ { 10 } }$ ; confidence 0.997

88. a11030044.png ; $\phi : ( T V , d ) \rightarrow ( T W , d )$ ; confidence 0.997

89. a01145063.png ; $g = \frac { ( m - 1 ) ( m - 2 ) } { 2 }$ ; confidence 0.997

90. a13012018.png ; $r \leq ( s ^ { 2 } \mu - 1 ) / ( \mu - 1 )$ ; confidence 0.997

91. a110010129.png ; $x = A ^ { + } b$ ; confidence 0.997

92. a11037047.png ; $X ( 0 ) = 0$ ; confidence 0.997

93. s08559027.png ; $\phi _ { 1 } ( 0 ) = \zeta$ ; confidence 0.997

94. t12001021.png ; $m = 4 n + 3$ ; confidence 0.997

95. t1200106.png ; $U ( ( m + 1 ) / 2 )$ ; confidence 0.997

96. t120010110.png ; $k > 7$ ; confidence 0.997

97. a11042067.png ; $\alpha ( K _ { 0 } ( A ) ^ { + } ) = K _ { 0 } ( B ) ^ { + }$ ; confidence 0.997

98. a11042098.png ; $K _ { 1 } ( A ) = 0$ ; confidence 0.997

99. a11001016.png ; $x + \delta x$ ; confidence 0.997

100. a13007083.png ; $H ( x ) > ( 1 - \varepsilon ) ( \operatorname { log } x ) ^ { 2 }$ ; confidence 0.997

101. a01081095.png ; $\lambda \neq \mu$ ; confidence 0.997

102. a01169071.png ; $L _ { \Omega }$ ; confidence 0.997

103. a01209091.png ; $N ( R ) \neq 0$ ; confidence 0.997

104. a01357020.png ; $g ( u ) d u$ ; confidence 0.997

105. b01539013.png ; $\delta ( x ) \in D$ ; confidence 0.997

106. b01554027.png ; $\phi = \Pi ^ { \prime } \Pi ^ { - 1 }$ ; confidence 0.997

107. b01655040.png ; $\lambda _ { n } ( t ) = v$ ; confidence 0.997

108. c023150291.png ; $\pi _ { n } ( E ) = \pi$ ; confidence 0.997

109. c023150156.png ; $i ^ { * } ( \phi ) = 0$ ; confidence 0.997

110. c024100241.png ; $f : K \rightarrow K$ ; confidence 0.997

111. c0245407.png ; $\dot { \phi } = \omega$ ; confidence 0.997

112. c024780240.png ; $0 < \beta \leq 2 \pi$ ; confidence 0.997

113. c02513010.png ; $f _ { 2 } \circ f _ { 1 } ^ { - 1 }$ ; confidence 0.997

114. c02572060.png ; $x - y \in U$ ; confidence 0.997

115. c02643025.png ; $F [ f ] = \frac { F [ g ] } { 1 - \sqrt { 2 \pi } F [ K ] }$ ; confidence 0.997

116. c027180172.png ; $M _ { k } = C _ { k }$ ; confidence 0.997

117. d13002017.png ; $0 \leq k < 1$ ; confidence 0.997

118. d03128077.png ; $f t = g t$ ; confidence 0.997

119. d03232034.png ; $u ( x _ { i } )$ ; confidence 0.997

120. d120230125.png ; $T _ { 1 } T _ { 2 } ^ { - 1 } T _ { 3 }$ ; confidence 0.997

121. d12023093.png ; $| f _ { i } | < 1$ ; confidence 0.997

122. d03346020.png ; $| w - \beta _ { 0 } | = | \zeta _ { 0 } |$ ; confidence 0.997

123. d03368022.png ; $[ A : F ] = [ L : F ] ^ { 2 }$ ; confidence 0.997

124. e03550031.png ; $T ^ { * } X \backslash 0$ ; confidence 0.997

125. e13004035.png ; $( \Omega _ { + } - 1 ) \psi ( t ) = ( \Omega _ { + } - 1 ) g \psi ( t ) =$ ; confidence 0.997

126. e03677085.png ; $A + 2$ ; confidence 0.997

127. f11005019.png ; $q ( 0 ) \neq 0$ ; confidence 0.997

128. f04085058.png ; $\sigma ( \alpha ) = \{ w \}$ ; confidence 0.997

129. f04106025.png ; $\phi \in C _ { 0 } ^ { \infty } ( \Omega )$ ; confidence 0.997

130. f04142082.png ; $D ( \lambda ) \neq 0$ ; confidence 0.997

131. f041420175.png ; $| \lambda | < B ^ { - 1 }$ ; confidence 0.997

132. f12015043.png ; $\beta ( A ) < \infty$ ; confidence 0.997

133. f041950110.png ; $f \in N ( \Delta )$ ; confidence 0.997

134. f11022029.png ; $A ^ { p } \geq ( A ^ { p / 2 } B ^ { p } A ^ { p / 2 } ) ^ { 1 / 2 }$ ; confidence 0.997

135. g0439304.png ; $m : A ^ { \prime } \rightarrow A$ ; confidence 0.997

136. g11018025.png ; $V _ { T } ^ { \prime } = \mu ( V _ { T } )$ ; confidence 0.997

137. g04509054.png ; $C = [ p ( \xi ) W ( \xi ) ] ^ { - 1 }$ ; confidence 0.997

138. h04769040.png ; $g x = y$ ; confidence 0.997

139. h120120117.png ; $T ( H ( A ) )$ ; confidence 0.997

140. h11033039.png ; $n \leq s \leq 2 n - 2$ ; confidence 0.997

141. h04827072.png ; $f : \Omega \rightarrow B$ ; confidence 0.997

142. h04751218.png ; $A = \operatorname { sup } _ { y \in E } A ( y ) < \infty$ ; confidence 0.997

143. i05162064.png ; $\frac { \partial } { \partial z } = \frac { 1 } { 2 } ( \frac { \partial } { \partial x } + i \frac { \partial } { \partial y } )$ ; confidence 0.997

144. i130090126.png ; $\lambda _ { p } ( K / k ) = \lambda ( X )$ ; confidence 0.997

145. k05510011.png ; $h = K \eta \leq 1 / 2$ ; confidence 0.997

146. k12005074.png ; $m \geq m _ { 0 }$ ; confidence 0.997

147. k0553405.png ; $K _ { \mu }$ ; confidence 0.997

148. l05761040.png ; $U _ { 0 } = 1$ ; confidence 0.997

149. l057780113.png ; $\mu \approx 18.431$ ; confidence 0.997

150. m06255040.png ; $u ( y ) \geq 0$ ; confidence 0.997

151. m06261090.png ; $F ^ { \prime } = f$ ; confidence 0.997

152. m063460143.png ; $p \in P \backslash N$ ; confidence 0.997

153. m06380038.png ; $\theta _ { n } ( \partial \pi )$ ; confidence 0.997

154. m064250142.png ; $d y / d s \geq 0$ ; confidence 0.997

155. m06466019.png ; $C _ { \gamma } = C _ { \gamma _ { 1 } } C _ { \gamma _ { 2 } }$ ; confidence 0.997

156. p073750105.png ; $e ( \xi \otimes C )$ ; confidence 0.997

157. q13004038.png ; $K > 1$ ; confidence 0.997

158. r08117020.png ; $B = B _ { 1 } \cup B _ { 2 }$ ; confidence 0.997

159. r08199034.png ; $D \cup \gamma$ ; confidence 0.997

160. r1301406.png ; $\sigma ( R ) \backslash \lambda$ ; confidence 0.997

161. s08317053.png ; $m _ { i } = 0$ ; confidence 0.997

162. s08645013.png ; $A _ { \delta }$ ; confidence 0.997

163. s130510126.png ; $\gamma ( u ) < \infty$ ; confidence 0.997

164. s08782077.png ; $| \frac { 1 } { 1 - H \lambda _ { i } } | < 1$ ; confidence 0.997

165. s09078074.png ; $\Phi ^ { \prime \prime } ( + 0 ) = - h$ ; confidence 0.997

166. s09139063.png ; $x _ { 1 } ^ { 2 } = 0$ ; confidence 0.997

167. t09247071.png ; $E _ { 1 } E _ { 2 } E _ { 3 }$ ; confidence 0.997

168. t09460022.png ; $f _ { 0 } \neq 0$ ; confidence 0.997

169. t09465036.png ; $( \phi \& \psi )$ ; confidence 0.997

170. v0960408.png ; $s ( r )$ ; confidence 0.997

171. v1200207.png ; $f ^ { * } : H ^ { * } ( Y ) \rightarrow H ^ { * } ( X )$ ; confidence 0.997

172. w09731010.png ; $\partial ^ { 2 } u / \partial x ^ { 2 } + \partial ^ { 2 } u / \partial y ^ { 2 } + k ^ { 2 } u = 0$ ; confidence 0.997

173. w12017064.png ; $l \equiv 2 ( \operatorname { mod } 3 )$ ; confidence 0.997

174. w12018046.png ; $t _ { 1 } \in D ^ { - }$ ; confidence 0.997

175. w09804013.png ; $p ( n + 1 ) / 2$ ; confidence 0.997

176. z13005046.png ; $I = ( f )$ ; confidence 0.997

177. z12002043.png ; $1.609$ ; confidence 0.997

178. s08708088.png ; $I ( T , \lambda )$ ; confidence 0.997

179. a11015023.png ; $\alpha ( S )$ ; confidence 0.997

180. d034120313.png ; $E = G$ ; confidence 0.997

181. l0584708.png ; $0 \leq i < n$ ; confidence 0.997

182. a01080026.png ; $= 2 \{ \omega ( [ U , Z ] ) - U \omega ( Z ) + Z \omega ( U ) \} B ( X , Y )$ ; confidence 0.997

183. d034120382.png ; $\phi ^ { * } ( z ) \in E ^ { 1 }$ ; confidence 0.997

184. a01121082.png ; $q = q ( x , \lambda )$ ; confidence 0.997

185. i052350102.png ; $\pi : X \rightarrow W$ ; confidence 0.997

186. a11007038.png ; $( X ) < \infty$ ; confidence 0.997

187. n06690082.png ; $H ^ { 1 } ( R _ { G } ( X ) )$ ; confidence 0.997

188. a1200403.png ; $D ( A )$ ; confidence 0.997

189. r07763022.png ; $X ( T ) \otimes R$ ; confidence 0.997

190. a1301203.png ; $t - ( v , k , \lambda )$ ; confidence 0.997

191. s13004016.png ; $\Gamma \backslash H ^ { * }$ ; confidence 0.997

192. a01071032.png ; $1 \leq i \leq n$ ; confidence 0.997

193. a12008054.png ; $A ( t )$ ; confidence 0.997

194. d034120461.png ; $( F ^ { \prime } , F )$ ; confidence 0.997

195. a110010291.png ; $G ( A )$ ; confidence 0.997

196. a01150014.png ; $\theta = \int _ { 0 } ^ { \lambda } \frac { d x } { \sqrt { ( 1 - c ^ { 2 } x ^ { 2 } ) ( 1 - e ^ { 2 } x ^ { 2 } ) } }$ ; confidence 0.997

197. a130240503.png ; $j = 1,2,3$ ; confidence 0.997

198. a11010082.png ; $\int w f d \mu = f ( x )$ ; confidence 0.997

199. a110010272.png ; $B = A ^ { T }$ ; confidence 0.997

200. a11037050.png ; $c ( t - s ) X ( 1 ) + d ( t - s )$ ; confidence 0.997

201. d030700185.png ; $H ^ { 1 } ( X _ { 0 } , T _ { X _ { 0 } } )$ ; confidence 0.997

202. a110010174.png ; $R = A ^ { T } - A ^ { T } A B$ ; confidence 0.997

203. l05872023.png ; $( x , y ) \rightarrow [ x , y ] = x y - y x$ ; confidence 0.997

204. h04770011.png ; $\phi : G \rightarrow X$ ; confidence 0.997

205. w0977105.png ; $W ( T , G ) = N _ { G } ( T ) / Z _ { G } ( T )$ ; confidence 0.997

206. h04769094.png ; $\Gamma \subset G$ ; confidence 0.997

207. a11002058.png ; $m = 3 ^ { t }$ ; confidence 0.997

208. d031830346.png ; $( A _ { k } ) < \operatorname { rank } ( B _ { k } )$ ; confidence 0.997

209. a01419020.png ; $\phi ( t )$ ; confidence 0.997

210. l058510181.png ; $0 \leq p \leq ( n + 1 ) / 2$ ; confidence 0.997

211. a01146072.png ; $\gamma ( Z ) = \gamma ( Z ^ { \prime } )$ ; confidence 0.997

212. a12012050.png ; $0 \leq y ^ { \prime } \leq y$ ; confidence 0.997

213. a01018050.png ; $s _ { 1 } = 1$ ; confidence 0.997

214. k12003011.png ; $\operatorname { Ric } ( \omega ) = 0$ ; confidence 0.997

215. a13004078.png ; $h ( \varphi ) \in F$ ; confidence 0.997

216. a01164058.png ; $\pi = \{ ( D ^ { 2 } ) + ( D K _ { V } ) \} / 2 + 1$ ; confidence 0.997

217. a011300124.png ; $\Delta _ { 1 } ( t )$ ; confidence 0.997

218. a12017018.png ; $K ( t ) = \beta ( t ) \Pi ( t )$ ; confidence 0.997

219. l058720136.png ; $m = n , n + 1,2 n$ ; confidence 0.997

220. a011450158.png ; $g < 11$ ; confidence 0.997

221. a11038042.png ; $\approx 0$ ; confidence 0.997

222. a12020090.png ; $P ( T ) \in J$ ; confidence 0.997

223. a11008015.png ; $x = 0$ ; confidence 0.997

224. j05427034.png ; $F _ { n } ^ { ( + ) }$ ; confidence 0.997

225. o07001029.png ; $U \subset X / G$ ; confidence 0.997

226. a11033039.png ; $0.78 / \sqrt { b }$ ; confidence 0.997

227. f040820210.png ; $F ( X , Y )$ ; confidence 0.997

228. a11004027.png ; $\operatorname { deg } \lambda$ ; confidence 0.997

229. a12018074.png ; $\Delta ^ { 2 }$ ; confidence 0.997

230. f04082022.png ; $H ( B _ { 1 } ) \rightarrow H ( B _ { 2 } )$ ; confidence 0.997

231. a01121049.png ; $\lambda > 0 , \lambda \rightarrow \infty$ ; confidence 0.997

232. w120090248.png ; $\Phi = \Phi ^ { + } \cup \Phi ^ { - }$ ; confidence 0.997

233. c02347040.png ; $\{ R ^ { \alpha } : \alpha \in I \}$ ; confidence 0.997

234. k1200301.png ; $\operatorname { Ric } ( \omega )$ ; confidence 0.997

235. a11001019.png ; $\delta A$ ; confidence 0.997

236. b120150101.png ; $N \cup \{ 0 \}$ ; confidence 0.997

237. a0125406.png ; $D = [ Z _ { G } ( S ) , Z _ { G } ( S ) ]$ ; confidence 0.997

238. a12005057.png ; $\| f ( t ) - f ( s ) \| \leq C _ { 1 } | t - s | ^ { \alpha } , \quad s , t \in [ 0 , T ]$ ; confidence 0.997

239. d034120304.png ; $A ( f ) = \int _ { \gamma } f ( z ) g ( z ) d z$ ; confidence 0.997

240. d034120486.png ; $( F , \tau )$ ; confidence 0.997

241. p0746401.png ; $( P , B , G , \pi )$ ; confidence 0.997

242. a11042065.png ; $( K _ { 0 } ( B ) , K _ { 0 } ( B ) ^ { + } , \Sigma ( B ) )$ ; confidence 0.997

243. a011370115.png ; $f , \overline { f } \in A$ ; confidence 0.997

244. d034120269.png ; $f _ { n } ( z ) \rightarrow f ( z )$ ; confidence 0.997

245. a014170113.png ; $f : X \rightarrow V$ ; confidence 0.997

246. d031830393.png ; $A = 0$ ; confidence 0.997

247. b1202103.png ; $U ( \mathfrak { g } )$ ; confidence 0.997

248. l05851051.png ; $\beta ( H _ { \alpha } ) = \frac { 2 ( \alpha , \beta ) } { ( \alpha , \alpha ) } , \quad \alpha , \beta \in \Sigma$ ; confidence 0.997

249. a011640137.png ; $M = \operatorname { dim } \operatorname { Im } ( H ^ { 1 } ( V , E _ { \alpha } ) \rightarrow H ^ { 1 } ( V , T _ { V } ) )$ ; confidence 0.997

250. r07764092.png ; $\operatorname { dim } X = 2$ ; confidence 0.997

251. a01022091.png ; $p = 4$ ; confidence 0.997

252. a130040576.png ; $\frac { \varphi } { \square \varphi }$ ; confidence 0.997

253. f04027014.png ; $| G | = m n$ ; confidence 0.997

254. a01018035.png ; $\sigma _ { 1 } - 1 < \beta < \sigma _ { 1 }$ ; confidence 0.997

255. a13008086.png ; $s ^ { 2 } = ( R - m ) ( m - L )$ ; confidence 0.997

256. m06557032.png ; $h ( X _ { 1 } ) = 0$ ; confidence 0.997

257. a01121059.png ; $S ( x , \alpha ) = \alpha x - x ^ { 3 } + O ( x ^ { 4 } ) \quad \text { as } x \rightarrow 0$ ; confidence 0.997

258. a11049015.png ; $R , R ^ { \prime } \in R _ { D }$ ; confidence 0.997

259. d03412091.png ; $H _ { r } ( R , X )$ ; confidence 0.997

260. a01021041.png ; $( B _ { i j } )$ ; confidence 0.997

261. a01137054.png ; $| f ( x ) | < | f ( x _ { 0 } ) |$ ; confidence 0.997

262. g13002048.png ; $\geq [ ( d + 1 ) / 2 ]$ ; confidence 0.997

263. s085590453.png ; $f _ { \lambda } ( z ) = F ( z , \lambda )$ ; confidence 0.997

264. a1300706.png ; $\sigma ( n ) = 2 n$ ; confidence 0.997

265. l05868035.png ; $\Gamma _ { 0 } \subset M \subset \Gamma _ { 1 }$ ; confidence 0.997

266. a01130061.png ; $\gamma _ { \sigma } : G ( k ) \rightarrow J$ ; confidence 0.997

267. a011450251.png ; $g > 2$ ; confidence 0.997

268. a12020077.png ; $T \in L _ { 0 } ( X )$ ; confidence 0.997

269. a011210108.png ; $j = 1,2,3$ ; confidence 0.997

270. h0476904.png ; $G \times M$ ; confidence 0.996

271. a01110047.png ; $A ^ { \prime } \subset A$ ; confidence 0.996

272. a110380142.png ; $K ( P , 3 = 3 )$ ; confidence 0.996

273. k12003029.png ; $\operatorname { Ric } ( \omega ) = \omega$ ; confidence 0.996

274. a12005046.png ; $0 \leq \beta _ { i } < \alpha _ { i } \leq 2$ ; confidence 0.996

275. f04055046.png ; $F _ { \nu } ( V )$ ; confidence 0.996

276. m06217010.png ; $Z ( A )$ ; confidence 0.996

277. a01052058.png ; $A ( h ) h ^ { - q }$ ; confidence 0.996

278. o07001082.png ; $Y \mapsto A Y A ^ { - 1 }$ ; confidence 0.996

279. a01121014.png ; $v ( z ) = \frac { w _ { 1 } ( z ) - w _ { 2 } ( z ) } { 2 i } , \quad \overline { w _ { 1 } ( z ) } = w _ { 2 } ( z )$ ; confidence 0.996

280. h04770013.png ; $\psi \pi = \phi$ ; confidence 0.996

281. a01081072.png ; $y ( 0 ) + \alpha y ( 1 ) + \beta \dot { y } ( 1 ) = 0$ ; confidence 0.996

282. l058720130.png ; $+ 1 \equiv 0$ ; confidence 0.996

283. a130040577.png ; $\frac { \varphi , \varphi \rightarrow \psi } { \psi }$ ; confidence 0.996

284. a011650433.png ; $B _ { \alpha } \subseteq B$ ; confidence 0.996

285. a01150024.png ; $y ^ { 2 } = ( 1 - c ^ { 2 } x ^ { 2 } ) ( 1 - e ^ { 2 } x ^ { 2 } )$ ; confidence 0.996

286. a11049039.png ; $y \in \operatorname { dom } D$ ; confidence 0.996

287. a010210137.png ; $F ( z , w ) = 0$ ; confidence 0.996

288. s085590279.png ; $z \in D \backslash P$ ; confidence 0.996

289. a0115207.png ; $g ( h x ) = ( g h ) x$ ; confidence 0.996

290. a12015060.png ; $G = U ( n )$ ; confidence 0.996

291. a011640139.png ; $\operatorname { dim } _ { k } H ^ { 2 } ( V , E _ { \alpha } ) + \operatorname { dim } _ { k } H ^ { 2 } ( V , T _ { V } )$ ; confidence 0.996

292. a01064014.png ; $k _ { 1 } = k _ { 2 } = 2$ ; confidence 0.996

293. a11022070.png ; $\Omega = C _ { 0 } [ 0 , \infty )$ ; confidence 0.996

294. a11046031.png ; $A , \chi , \eta$ ; confidence 0.996

295. a0111006.png ; $A \times A$ ; confidence 0.996

296. a13012028.png ; $k = s \mu , v = s ^ { 2 } \mu , \lambda = \frac { s \mu - 1 } { \mu - 1 } , r = \frac { s ^ { 2 } \mu - 1 } { \mu - 1 }$ ; confidence 0.996

297. l05848051.png ; $A _ { k } \subset A$ ; confidence 0.996

298. a01084022.png ; $\phi ^ { * } : M ^ { * } \rightarrow L ^ { * }$ ; confidence 0.996

299. a12007085.png ; $\delta \in ( 0 , \eta ) \cap ( 0 , \rho ]$ ; confidence 0.996

300. a120050104.png ; $( t , s ) \in \Delta = \{ ( t , s ) : 0 \leq s \leq t \leq T \}$ ; confidence 0.996

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