Namnlös graf | Desmos

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

equals

Lista med 18 element

Uttryck 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

Uttryck 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

Lista med 18 element

Uttryck 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

Lista med 18 element

Uttryck 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

Uttryck 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)

Uttryck 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

Lista med 18 element

Uttryck 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

Lista med 18 element

Uttryck 22: "a" equals negative 0.3 3

negative 1

Uttryck 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

Uttryck 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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