Başlıksız Grafik

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

equals

eleman listesi 18

İfade 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

İfade 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

eleman listesi 18

İfade 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

eleman listesi 18

İfade 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

İfade 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)

İfade 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

eleman listesi 18

İfade 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

eleman listesi 18

İfade 22: "a" equals negative 0.3 3

negative 1

İfade 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

İfade 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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