1
$\begingroup$

I have two functions $f$ and $g$ defined as:

$f := \operatorname{Spline}(\operatorname{pointsBW}, t)$

$g:=x \rightarrow \frac{1}{x}\int_0^x f\;dt$

where $f$ is a functional form for a set of data points. I am trying to find the intersection of these using Maple 15. How would I do this?

1 Answers 1

2

Of course, you will have obtained pointsBW in your own way.

The two curves f and g will be equal at the points where f-g is zero.

restart: randomize(): wx:=LinearAlgebra:-RandomVector(7,generator=0..1.0): wy:=LinearAlgebra:-RandomVector(7,generator=0..1.0) + Vector(7,5): pointsBW := Matrix([wx,wy]):  f:=unapply(CurveFitting:-Spline(pointsBW,t),t): g:=x->1/x*int(f(s),s=0..x):  plot([f,g],0.0..1.0,view=5.0..6.0); plot(f-g,0.0..1.0,view=-1.0..1.0,color=blue);  map(fnormal,Student:-Calculus1:-Roots(f(x)-g(x),x=-0.0..1.0));