## 145 Reputation

15 years, 114 days

## Numerical evaluation of Zeta function...

Maple 2015

Hi!

Somebody know how Maple computes (numerically) the values of the Z function? That is, if we run the command evalf(Z(3)), How compute Maple this number?

## The Haar system...

Maple 2015

Hi!

The so called Haar system is given as the follwoing sequence of functions:

Someboy know how to code the above functions? For a given n, I think that the rpoblem is to find the numbre k in the above definition.

## The Chaos Game and Generation of IFS...

Maple 17

Hi!

I have created a procedure for the so-called "Chaos Game" for the generation of Fractals. The file is the following:

Fractals_ChaosGame.mw

On the other hand, for a given day set D:={(x0,y0,(x1,y1),...., (xN,yN)}, for simplicity we assume D is contained in [0,1]x[0,1], one can to construct an "Iterated Functions System" such that its attractor set contains the set D. A detailed exposition of this topic can be found in the famous Barnsley's book "Fractals Everywhere". Also, in the following paper (sections 2.5 and 4-A):

https://arxiv.org/pdf/2102.09855.pdf

I have tried to implement in Maple 17 a procedure to create such Iterated Function System:

IFF_v2.mw

But, I feel that there is something wrong...After plot (with the Chaos Game procedure) a lot of points of the Iterated Functions System (i.e., an approximation of its attractor set), I have a "set of points", instead of a figure similar to a curve (which I feel that must be the correct).

Please, Somebody can have a look to the attached files?

## Code for Radial Basis Function Interpol...

Maple 2015

Hi!

I see that from Maple 2018 there is a command to compute the so called Radial Basis Function Interpolation:

I am trying to implement that code in Maple 2015, but it returns the error

Error, (in h) bad index into Vector

Displaying the vectors computed with the procedure, they seem correct, but the function that I want to return seems to fail (it is a summatory).

Attached the maple file

RBF_Interpolation.mw

BR,

GGM

## Composition of mappimngs...

Maple 17

Hi!

Assume we have the following mappings:

f[1] := proc (x) options operator, arrow; piecewise(0 <= t and t <= 1/2, (1/2)*x(2*t), 1/2 < t and t <= 1, (1/2)*x(2*t-1)+1/2) end proc

f[2] := proc (x) options operator, arrow; t*x(t) end proc

Note that the argument are mappings (i.e, x(t) is a continuous function defined on [0,1]). Given an array with values in {1,2}, for instance [1,1,2],and a function h (say, h:=t->t) How can we define the composition mapping f[1]f[1]f[2](h)?

In general, I want to plot the composition mapping f[i1]f[i2]...f[iN](h), i1,i2,...,iN being 1 or 2 and h a given continuous function defined on [0,1]