There are the complexes (C), quaternions (H or Q), octionions (O), sedenions (S) and the pathions (P). I have found the multiplication tables of them, although according to signs (+ or -) there differents at pathions. The important question is that How can I multiply two bases, i_n and i_m of higher dimensions, like in the routions or in the voudions?

Should I xor the indexes of the bases? Like this way: i_1 * i_2 = i_(1^2) = i_3

What is about the signs?

Hello,

I would like to plot an non linear oscillator.

The equations are the following:

r:=sqrt((x(t)/a)^2+(z(t)/b)^2);
eqx:=diff(x(t),t)=alpha*(1-r^2)*x+wa/b*z(t);
eqz:=diff(z(t),t)=beta*(1-r^2)*y+wb/a*x(t);
EqSys:=[eqx,eqz];

The constants are the following :

alpha:=1:
beta:=1:
a=0.4:
b=0.2:
w=1:

I didn't manage with Deplots. May you help me to plot this oscillator?

Thank a lot for your help and ideas

I'm trying to solve the differential equation.

Eq := diff(y(x), x, x) = -(x^2+1)*y(x)+K;

dsolve({Eq, y(-1) = 0, y(1) = 0}, y(x));

But this not work very well.

Best Regards,

I am using Maple 15, and before that Maple 8 and Maple 13. While using the versions 13 and 15, 

I come across with this problem; I cannot copy an output and use it as input. In Maple 8, I was able to do this but in 

these improved versions, it seems that it is not possible. Is there a way to solve this problem? I saw some answers about this

problem suggesting to change launch.ini file. But I could not apply this suggestion, since it is not permitted by the system. 

hello dear
how can i solve this three couplde pde?please help me

The word command for square root is sqrt.  What is the word command for square?  How to square all the values in a list?

Hi everyone, I'd like to know if it's possible to use the startup code editor as a general editor when writing large programs. It nicely recognizes keywords such as "if" and "proc" and you can indent code using TAB. However I'm not sure whether you can/should use it as a general editor to run code. I've read something about user-profiles related to the startup code but I just don't understand how it works.

I related two Text Area Components by using the codes "Do(%text_beta_radian=evalf(%text_beta_degress/180*Pi))".

I wanna know what codes can refresh the display of the text area component with name%text_beta_radian

after I change the input value of that%text_beta_degress?

Hey, I need to answer this question, not sure where to start..Any help/tips would be much appreciated....

Bob wants to explore the effect of changes in a, b and c on the function h, where h(x, y) = ∂ 2 /∂x∂y (ay sin(bx + c)). How should Bob do this so that if he redefines the variables a, b, or c later in the Maple session, subsequently computed function values h(x) use the new values of a, b, c?

that can run without maple using my own maple code?

And how about Maplesim? I heard that Maplesim can generate executable file

Hi all,

I'm new to Maple. Probably this is trivial, but how can I solve an inequality as e.g., the following

-2 <=  a/x <= 0

knowing that x > 0?

Thanks

S.

Dear hope you will fine. I am try to make a program of square free factorization over a finite field whose alogrithm is below:

Algorithm: SFF (Square-Free Factorization)
  Input: A monic polynomial f in Fq[x]

Output: Square-free factorization of f

i←1; R ← 1; g ← f′;
  if g ≠ 0 then {
     c ← gcd(f, g);
     w ← f/c;
     while w ≠ 1 do {
           y ← gcd(w, c); z ← w/y;
           R ← R·zi; i ← i+1; 

           w ← y; c ← c/y }
     if c ≠ 1 then {
           c ← c1/p;

           Output(R·SFF(c)p) }

     else  Output(R)
  else {
           f ← f1/p;

           Output(SFF(f)p) }

  end.

The attached file my try to make this, please find and help me to complete this. I am waiting your kind response.

Help.mw

With my best regards and sincerely.

I want convert the integro differential equation to volterra integral equation by integration both side of integro-diff then subs in  initial condition 

intE := diff(u(x), x) = 1+x-x^2+int((x-t)*u(t), t = 0 .. x), u(0) = 3

How do it?