Naamloze grafiek

Uitdrukking 13: "K" equals left bracket, 0...1 7 , right bracket

equals

18 elementenlijst

Uitdrukking 14: "f" left parenthesis, "x" , right parenthesis equals hyperbolic secant left parenthesis, "x" , right parenthesis left parenthesis, 1 quarter plus 1 half sin left parenthesis, 3 pi tanh left parenthesis, StartFraction, "x" Over 4 , EndFraction , right parenthesis , right parenthesis , right parenthesis

Uitdrukking 15: "C" Subscript, "T" , Baseline equals StartFraction, left parenthesis, Start integral from negative infinity to infinity , end integral, StartNestedFraction, "T" left parenthesis, "K" , "x" , right parenthesis "f" left parenthesis, "x" , right parenthesis NestedOver left parenthesis, 1 plus "x" squared , right parenthesis , EndNestedFraction "d" "x" , right parenthesis Over left parenthesis, Start integral from negative infinity to infinity , end integral, StartNestedFraction, "T" left parenthesis, "K" , "x" , right parenthesis squared NestedOver left parenthesis, 1 plus "x" squared , right parenthesis , EndNestedFraction "d" "x" , right parenthesis , EndFraction

equals

0.1 3 9 9 4 8 2 3 7 2 0 5

0.1 1 9 8 7 5 4 8 7 1 2 2

negative 0.1 2 9 0 8 7 8 6 8 4 6 9

negative 0.2 6 3 3 9 2 7 5 3 9 2 5

negative 0.0 2 0 0 0 8 2 8 9 1 0 7 6

0.1 3 2 4 9 1 8 6 5 8 5 2

0.0 0 0 7 4 0 0 1 9 3 7 9 4 9 5

0.0 6 1 7 1 7 8 5 2 0 6 7 2

0.0 0 3 2 0 8 5 3 0 2 4 8 2

negative 0.0 1 4 4 6 3 3 6 6 9 1 5 2

0.0 0 2 4 5 4 2 8 7 3 3 5 0 7

negative 0.0 2 9 9 1 0 1 7 1 9 7 1 4

0.0 0 1 5 0 5 1 8 4 2 1 0 6

negative 0.0 1 7 5 7 9 8 6 8 9 1 7 3

0.0 0 0 8 3 4 2 9 0 2 8 8 9 6 1

18 elementenlijst

Uitdrukking 16: "C" Subscript, "U" , Baseline equals StartFraction, left parenthesis, Start integral from negative infinity to infinity , end integral, StartNestedFraction, "U" left parenthesis, "K" , "x" , right parenthesis "f" left parenthesis, "x" , right parenthesis NestedOver left parenthesis, 1 plus "x" squared , right parenthesis , EndNestedFraction "d" "x" , right parenthesis Over left parenthesis, Start integral from negative infinity to infinity , end integral, StartNestedFraction, "U" left parenthesis, "K" , "x" , right parenthesis squared NestedOver left parenthesis, 1 plus "x" squared , right parenthesis , EndNestedFraction "d" "x" , right parenthesis , EndFraction

equals

0.2 3 4 5 2 7 8 0 0 2 3 6

0.2 1 7 6 6 7 6 7 4 5 0 7

negative 0.0 2 8 8 0 0 2 1 1 5 0 2 8

negative 0.2 3 2 4 1 3 9 2 6 3 7 1

negative 0.0 1 8 9 3 5 0 3 4 2 2 0 9

0.0 1 3 3 0 7 2 1 7 1 0 1 9

negative 0.0 0 7 5 5 7 8 2 5 1 1 9 9 6

0.0 6 2 5 0 4 1 3 8 6 7 6

negative 0.0 0 2 4 5 9 6 8 3 8 1 6 9 7

0.0 2 7 7 1 7 6 0 3 3 6 7 1

negative 0.0 0 0 5 0 1 6 5 0 0 1 8 8 9 1

negative 0.0 0 3 2 0 4 2 1 0 3 4 9 1 9

0.0 0 0 1 6 7 4 2 4 8 5 8 5 8 6

negative 0.0 1 3 5 7 6 4 1 9 6 2 3 6

0.0 0 0 3 3 7 5 4 3 4 6 5 4 6 4

18 elementenlijst

Uitdrukking 17: Start sum from "n" equals 0 to "N" , end sum, left parenthesis, "C" Subscript, "T" , Baseline left bracket, "n" plus 1 , right bracket "T" left parenthesis, "n" , "x" , right parenthesis , right parenthesis

Uitdrukking 18: Start sum from "n" equals 0 to "N" , end sum, left parenthesis, "C" Subscript, "U" , Baseline left bracket, "n" plus 1 , right bracket "U" left parenthesis, "n" , "x" , right parenthesis , right parenthesis

You can tweak the weight function in the numerator and then apply the reciprocal of the modified version to change asymptotic behavior or tradeoff error in different intervals (so long as it doesn't break convergence)

Uitdrukking 20: "C" Subscript, "T" 2 , Baseline equals StartFraction, left parenthesis, Start integral from negative infinity to infinity , end integral, StartNestedFraction, "T" left parenthesis, "K" , "x" , right parenthesis "f" left parenthesis, "x" , right parenthesis NestedOver left parenthesis, 1 plus "x" squared , right parenthesis Superscript, left parenthesis, 1 plus "a" , right parenthesis , Baseline , EndNestedFraction "d" "x" , right parenthesis Over left parenthesis, Start integral from negative infinity to infinity , end integral, StartNestedFraction, "T" left parenthesis, "K" , "x" , right parenthesis squared NestedOver left parenthesis, 1 plus "x" squared , right parenthesis , EndNestedFraction "d" "x" , right parenthesis , EndFraction

equals

0.1 6 2 4 3 3 1 3 3 3 0 7

0.1 2 3 2 7 5 3 3 3 1 3 2

negative 0.1 2 1 2 0 1 9 1 2 0 1 6

negative 0.2 9 4 4 9 8 8 7 0 5 1 1

negative 0.0 4 2 2 6 9 3 4 5 7 8 3 8

0.1 4 3 6 1 7 9 9 4 3 8 7

negative 0.0 0 9 3 0 9 8 1 7 7 5 0 9

0.0 9 9 5 8 3 6 1 4 1 6 6 2

0.0 0 0 6 4 2 4 6 6 4 4 4 2 4 3

negative 0.0 0 6 5 7 8 5 3 6 1 6 4 8 5

0.0 0 2 7 9 2 3 4 6 1 6 0 0 7

negative 0.0 4 4 7 0 7 5 4 7 4 7 8

0.0 0 2 6 3 2 2 9 7 5 4 4 1 4

negative 0.0 3 4 6 7 0 6 2 3 2 1 6 4

0.0 0 1 9 5 1 5 8 2 6 8 1 0 5

18 elementenlijst

Uitdrukking 21: "C" Subscript, "U" 2 , Baseline equals StartFraction, left parenthesis, Start integral from negative infinity to infinity , end integral, StartNestedFraction, "U" left parenthesis, "K" , "x" , right parenthesis "f" left parenthesis, "x" , right parenthesis NestedOver left parenthesis, 1 plus "x" squared , right parenthesis Superscript, left parenthesis, 1 plus "a" , right parenthesis , Baseline , EndNestedFraction "d" "x" , right parenthesis Over left parenthesis, Start integral from negative infinity to infinity , end integral, StartNestedFraction, "U" left parenthesis, "K" , "x" , right parenthesis squared NestedOver left parenthesis, 1 plus "x" squared , right parenthesis , EndNestedFraction "d" "x" , right parenthesis , EndFraction

equals

0.2 6 2 0 8 6 4 6 3 4 2 6

0.2 3 3 2 6 1 3 7 2 7 3 7

0.0 0 0 4 1 9 4 0 5 5 7 8 9 6 4

negative 0.2 6 5 2 8 9 5 3 1 3 1 8

negative 0.0 2 0 5 0 6 5 4 2 1 1 5 6

negative 0.0 0 8 1 6 9 8 6 4 2 9 5 0 1

negative 0.0 1 3 5 8 7 0 6 2 6 4 2 8

0.0 8 5 7 3 0 9 9 4 4 9 7 8

negative 0.0 0 6 9 4 3 4 8 5 0 1 8 5 5

0.0 5 3 0 2 0 0 7 5 5 0 0 8

negative 0.0 0 3 0 3 9 1 0 6 3 0 3 9 9

0.0 0 4 7 7 1 7 3 2 3 9 6 6 2

negative 0.0 0 1 0 2 8 3 0 3 6 8 2 2 3

negative 0.0 1 9 3 1 8 1 7 8 5 9 0 4

negative 0.0 0 0 0 8 2 0 9 9 9 4 1 8 9 5 7

18 elementenlijst

Uitdrukking 22: "a" equals negative 0.3 3

negative 1

Uitdrukking 23: Start sum from "n" equals 0 to "N" , end sum, left parenthesis, "C" Subscript, "T" 2 , Baseline left bracket, "n" plus 1 , right bracket "T" left parenthesis, "n" , "x" , right parenthesis , right parenthesis left parenthesis, 1 plus "x" squared , right parenthesis Superscript, left parenthesis, "a" , right parenthesis , Baseline

Uitdrukking 24: Start sum from "n" equals 0 to "N" , end sum, left parenthesis, "C" Subscript, "U" 2 , Baseline left bracket, "n" plus 1 , right bracket "U" left parenthesis, "n" , "x" , right parenthesis , right parenthesis left parenthesis, 1 plus "x" squared , right parenthesis Superscript, left parenthesis, "a" , right parenthesis , Baseline

Coefficients can also using a truncated fourier transform of f(tan(pi/2*x)) on (-1,1)

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