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8 Boundary Length 1 - poly len(p, s, e) Now that you have the approximate fractal boundary, you'll have to find its length. 8.1 Curve
8 Boundary Length 1 - poly len(p, s, e) Now that you have the approximate fractal boundary, you'll have to find its length. 8.1 Curve Length The curve length of a function is given by the formula for s, the path length df dx dx Polynomials of the form have a very easy derivate7 eal to so, the curve length derivative is df dx which can be directly used in 8.2 Numerical Integration Numerical integration is a well established branch of mathematics and it's typically a bad idea to try and reimple- ment well established algorithms. 8.3 Implementation Write a function that uses MATLAB's integral or Octave's quad to compute the curve length of a polynomial. Apply it to the fractal boundary. You'll need to write an anonymous function ds with only x as its arguments Name 1-poly len(p, s, e) Inputs p fitted polynomial coefficients . s left bound on . e right bound on x Outputs: l the curve length of the polynomial 8 Boundary Length 1 - poly len(p, s, e) Now that you have the approximate fractal boundary, you'll have to find its length. 8.1 Curve Length The curve length of a function is given by the formula for s, the path length df dx dx Polynomials of the form have a very easy derivate7 eal to so, the curve length derivative is df dx which can be directly used in 8.2 Numerical Integration Numerical integration is a well established branch of mathematics and it's typically a bad idea to try and reimple- ment well established algorithms. 8.3 Implementation Write a function that uses MATLAB's integral or Octave's quad to compute the curve length of a polynomial. Apply it to the fractal boundary. You'll need to write an anonymous function ds with only x as its arguments Name 1-poly len(p, s, e) Inputs p fitted polynomial coefficients . s left bound on . e right bound on x Outputs: l the curve length of the polynomial
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