I have a nasty expression that solves for eigenvalues of pressure & shear waves propagating along an interface between 2 elastic media.  There are many roots to this expression for eta, but many of them can be excluded because the material properties are both REAL & POSITIVE.  I am very new to MAPLE & I am attempting to get it to solve for the roots where all of the other parameters meet the conditions of REAL & POSITIVE but I am not sure I am doing this correctly because MAPLE runs off to evaluation mode & takes so much memory my computer slows to a crawl &

I put the following into Maple (12) A := 2*x*z+2*z*y+x*y V := x*y*z sys := {A= S, diff(V, x) = lambda*(diff(A, x)), diff(V, y) = lambda*(diff(A, y)), diff(V, z) = lambda*(diff(A, z))} S being a constant solve(sys, [x, y, z, lambda]); and got: [[x = RootOf(3*_Z^2-S, label = _L1), y = RootOf(3*_Z^2-S, label = _L1), z = (1/2)*RootOf(3*_Z^2-S, label = _L1), lambda = (1/4)*RootOf(3*_Z^2-S, label = _L1)]] which makes no sense to me... How can I enter this system into maple and get an answer? (the system is gradA=gradV and A=S, S being a constant, which is shown above) Thanks!

Hi,

 

> restart;
> read "D:/Data/Data7/Advisor/csum.m";
> a :=n ->  (5/n)^(1/n);
> csum(a(n), n);

                                    false

But

 

ok,

my first quations is: How can I get  V(F(x), G(x)) in the last expression in the below picture evaluated at the end point t and T. 

The solution should be a vertical line to the right-hand side of the expression

 

My second quation is: Is there any way I can sequentialy solve the problem without having to manually rewrite the equations

 

 

Is it possible to easily use a procedure that I create in one worksheet in other worksheets (i.e. make it into a loadable package) without having to cut and paste the whole procedure text into each worksheet that I want to use it in?  It is a bit of a pain to have to do manual version management of my particular procedure in each sheet when I use it in a number of different files.

Hi everybody,

I have to solve a symbolic equation.

Therefore I use the convenient solve command.

The problem is, that the result I get is not the one I need. It is a correct soultion though. The equation has two solutions.

So how can I get more results out of the solve command.

I found "_EnvAllSolutions:= true;"

Unfortunately this made only disappear the Warning: Warning, solutions may have been lost" without producing any more solutions.

Regards

Kalle

Hello I was wondering how to generate bitstrings of length n that do not contain two consecutives ones. So far i have the following bitstring := x[i]; for i to 5 do bitstring := [op(bitstring), rand(2)()]; if x[i] = 1 then x[i+1] = 0 else x[i+1] = rand(2)() end if end do; bitstring there are two problems with this: (1) this is not from 1 to n (and i don't know how to specify this) (2) It produces strings which do have consecutive ones. Thank you in advance any help, Herman

Hi folks, I have been trying to solve that problem for the last 2 days, but I dont get it:

 

Lets say I have a velecity vector which is dependent from t:

v:=t->Vector(3,{1=t^2,2=3t,3=t^3})

Hello humble forum readers

I haven't used Maple in over 10 years and am therefor a bit rusty when it comes to runtime optimizations; on top of that, I'm not a mathematician, so bear with my limited knowledge in this field. A risk analysis problem of a rather complex system resulted in roughly following integral, which I seem to be unable to compute with Maple (Version 12, in case this matters):

binom[1]:=(a1+b1*exp(-(a1+b1)*t))^k[1];

binom[2]:=(a2+b2*exp(-(a2+b2)*t))^k[2];

The curve y= (224755712/(x^2+369664) is called a Witch of Agneesi.  You wish to place a rectangle between the Witch of Agneesi and the x-axis, and you want your rectangle centered on the y-axis.  Assign to area the maximum area of such a rectangle.  Use exact arithmetic (i.e. do not use evalf).  Can someone please tell me how you would go about solving a problem like this?  I have no idea!

Over on the usenet newsgroup comp.math.soft-sys.maple, someone asked about using Maple's overload facility to redefine the operators such as `*`, `+`, etc.

The difficulty for the submitter is that while overload (and option overload for procedures) can provide enhanced operators for new routines, it doesn't affect routines saved in the Maple Library which already have their bindings. Overloading does not subsequently change the bindings of the operators when used in (most all) Library routines.

One way to try and get around this is to actually redefine the global operators. And since overload is on topic, one can still use it in the replacements that one writes.

In order to redefine global operators one must first unprotect them. They are protected for a very good reason. If the replacements are not adequate then Maple can fail in a multitude of ways. It's a case of caveat emptor.

hello, now i confront a problem of a maple function---msolve.
I want to sovle the problem like this: i have a matrix with all entries only one or zero. and i have known the sum of unknows in each row and column. i want to get the entries in the matrix.
For example i have 3 by 3 matrix.
[x1 x2 x3
x4 x5 x6
x7 x8 x9]
i have known the sum of unknows in each row and column. for example,
x1+x2+x3=1; x4+x5+x6=1; x7+x8+x9=1; x1+x4+x7=1; x2+x5+x8=1; x3+x6+x9=1;
another constraint is x1 to x9 are only one or zero.

hello.

I have calculated an integral equation (general goursat problem) with an iteration method. I want to know how could I use MAPLE to derive a function for.

I found the first 4 iteration for function f.

the exact problem is U_xy=2.U.U_x .

U(x,y)=2x on y=x^2+x and U(x,y)=3x^2 on y=0.

I want to find the U function.

y=t^2+t

U₀=2t-3t^2+3x^2

U_n=U₀+int(2*U_n*(U_n)_x)

HI all,

I know that :

alias(delta=Dirac):

`δ*g` = int(delta(x)*g(t-x), x = 0 .. t) and int(delta(x)*g(t-x), x = 0 .. t) = g(t);

 

But look what happen.  Can someone justify this behavior

The attached worksheet starts off with two quick videos that show you how to write square roots, fractions and exponents. Feel free to create and attach a worksheet with all of your questions and math expressions. I'll go thought it and help out !