Yet another Fourier series package? This package provides new data structure for the representation of trigonometric series and few procedures to work with trigonometric series and to compute Fourier series. Some procedures and data structure are similar to OrthogonalSeries package (but not the same).

I begun to implement Huzita's aorigami axioms in Maple... It's long and I'm not sure that I use the best path... View 744_huzita-01.mw on MapleNet or Download 744_huzita-01.mw
View file details

How simple divisions or multiplications of angles can generate usefull ratio of length

> restart:

> with(geometry): _EnvHorizontalName := 'x': _EnvVerticalName := 'y':

Let's start with a square sheet of paper which vertex are named A,B,C,D.

E is any point on the segment CD and alpha is let angle of AD with AE :

> point(A,0,0); point(B,0,1); point(C,1,1); point(D,1,0);
segment(AB, A,B); segment(BC, B,C); segment(CD, C,D); segment(DA, D, A);

I'm currently a student at the University of Bolton. I'm on the Computer Games Software Development course, and as part of our first year we do some basic mathematics, followed by basic physics in the next semester. Now most of this - all right, all of it - is old hat to me, but it's still interesting, particularly when Maple gets involved, which I'd never used before starting the course. We recently had to complete a coursework assessment using Maple, and one of the requirements was to create a 'scene' using Maple - so it was lots of transformations, seq() and such. I don't know what the majority of the others did, but seeing as I'm on a games course... well, there was only one thing it could be! It's at the end of the sheet below.

And Google strikes again. They now have a Curriculum search that is just perfect for hunting down Maple-related resources. Looks like it needs a littel fine-tuning, but it definitely shows promise!

Hello If we have an integral of say two functions f(x) & g(x) and we know one function and the solution for the integral. Can we find out the other function using Maple. Could anyone guide me on this. Regards S

Hi, I am Sripad from INDIA. Here is a query on Maple. If I give Integration of log(cotx)+log(tanx), then Maple is giving me an answer in terms of dilog and I. But actually it should be a constant. Could someone help me, how it can be done in Maple. Regards Sripad

Hello all, I hope someone could help me with my problem, assume: Y:= X + sin(theta1 - theta2) where X, theta1, and theta2 are function of time. I know how I could calculate partial defferention of Y for each variable by maple (such as diff(Y,theta2); But how could I obtain the derivative of Y in respect to time? Roozbeh

http://maplesoft.com/applications/app_center_view.aspx?AID=2017

I wrote a procedure for drawing a 1d phase portrait of an equation

                        `x′`=f(x)

in Classic Maple,

phase:=proc(f,r)
local a,b,bn,bs,U;
a:=op([1,1],plot(args));
bn:=-`-`(op([2,1..2],r));
bs:=[a[1,1],seq(`if`(
(a[i-1,2]-0.0001*bn*signum(a[i-1,2]))*(a[i,2]-0.0001*bn*signum(a[i,2]))<0,
`if`(a[i-1,2]*a[i,2]<0, (a[i-1,1]*a[i,2]-a[i-1,2]*a[i,1])/(a[i,2]-a[i-1,2]),
fsolve(f,subsop([2,1]=a[i,2]-0.02*bn,[2,2]=a[i,2]+0.02*bn,r))),NULL),
i=2..nops(a)),a[-1,1]];
b:=bs/bn;
U:=remove(x->abs(x[2,1])<0.04,
[seq([[b[i]+0.01,0],[b[i+1]-b[i]-0.02,0]],i=`if`(a[1,2]<0,2,1)..nops(b)-1,2),
seq([[b[i+1]-0.01,0],[b[i]-b[i+1]+0.02,0]],i=`if`(a[1,2]<0,1,2)..nops(b)-1,2)]);
plots[display](plots[arrow](
U,width=0.02,head_length=0.04,view=[b[1]..b[-1],-1..1],color=blue),
plots[pointplot](map(x->[x,0],b[2..-2]),symbol=circle,symbolsize=19),
plots[textplot](map(x->[x/bn,-0.07,sprintf("%.2f",x)],bs[2..-2])),
axes=none)
end:

It works as in the following example for f(x)=sin(x),

phase(sin(x),x=-8..8);

I try to solve a large class of origami folds using Maple, this is the mw file (at this stage, only one step missing, I'm not very good with trigonometry using Maple).

At this end I only have to express the angle alpha in function if the anlgle theta and the lengths y_a and y_b.

More explainations soon.

Charles

Convolution of Finite Discrete Signals Tutorial Convolution of two finite discrete signals is a topic discussed in the Signals and Systems course offered by any electrical engineering faculty. This tutorial was created using Maple 10 using Maple components and can be use as part of computer aided teaching material or as a guided interactive tutorial. This worksheet can also be deployed on the web by using MapleNet. [New Maple Applications]

Hi to All! This is a true top secret story from Ph Dr S.Arlou When I was a callow youth at my first year at the university I was very proud of my high rate in general course of physics. Besides I was rather good at mathematics as I was able to add fractions and find derivative of functions. I had only one thing lift to study – mechanics of materials. To my greatest disappointment I couldn’t manage with my test work on mechanics of materials after twenty attempts! The only consolation I found in the team of the same unfortunate students. It seemed to me that a student with an excellent knowledge of physics had to understand mechanics of materials. Its roots according to my brilliant conjecture™ are hidden exceptionally in physics. What’s the matter? Years passed… More years passed… Some more time passed. All the time I tried to find the answer to my question, how mechanics of materials should be taught so that a child would be able to understand it, at least in general. During these hard meditations I had to be involved into absolutely useless things: post graduation studies, presentation of Ph.D. thesis, teaching at technical university, marriage at last. But Maple with its analytical potential burst into my life as a tornado. The answer came with a lightning speed. Mechanics of materials is short of the power of the power of analytical computing. We need as much of it as our head or laptop can contain. In one word I invented Mechanics of Materials™ only to converge teaching of mechanics of materials to discussions about weather, magazine Forbes ratings and so on… or discussing scientific problems which are far beyond from our standard mechanics of materials curriculum. My congratulations to all students on the occasion of a new academic year! Details
maplesoft.com mechofmat.com

by Karel Srot, Department of mathematics at Masaryk University, Czech Republic,

karels@mail.muni.cz, © 2005 Karel Srot

NOTE: This worksheet solves some examples using the package Fourier. This package provides procedures for computing Fourier series of real functions, drawing plots and animations. Especially animations illustrates the convergence of Fourier series in a comprehensive form. The usage of procedures from package Fourier is described in its help file.

The recent czech/english version of the package Fourier (as well as some exported examples) can be found at www.math.muni.cz/~xsrot/frady. Unfortunately, this website is only in czech at the present.

"Dios creo al mundo con el lenguaje de la matemática" Galileo