How to plot x versus theta of the following implicit function

sin(theta)-2*sin(2*x-theta+(1/3)*Pi)/sin(x+(1/3)*Pi-theta)=0

where x is the implicit function of theta

now how can I plot the relationship between x and theta(condition:-Pi<theta<Pi,-Pi<x<Pi)

How to simplify the following trigonometric expression

sin(w t-theta)+sin(w t-theta-2pi/3)-sin(w t-theta+2pi/3)

to

-2cos(w t-theta+pi/6)

My question is a bit vague, but I hope someone can point me in the correct direction for a solution anyway. A Maple Package was been defined and placed in the Lib folder in Maple 16. The package does contain a number of custom defined functions, say Cos(v) and Sin(v) - with a capital letter to distinguish them from the usual built-in functions in Maple. After having called the package using the with statement, the new function works well in the worksheet. It also works...

Dear Maple Users

I am mainly in favor of the new rules concerning subscripts. Using Ctrl+-- (double underscore) it is pretty straight forward to get a literal subscript and it displays much better in the palette Variables than was the case i Maple 16. Also the purple coloring of a variable containing a literal subscript makes sense, because it can be distinguished from the usual subscript (now Ctrl+shift+-). Good that you can remove the coloring in the View Menu (Atomic Variables...

Hi,

I am trying to find a better way calculating the result of an integral ===>

restart; with(linalg); with(LinearAlgebra);

 E := int(1/(1+A*cos(2*Pi*x))^3, x = 0 .. 1);

u := 1; 

F := Vector(10); 

for A from 0.1e-2 by .1 to 1 do 

F[u] := E; 

u := u+1

 end do;

now I am doing only for 10 points but normally...

Consider the following 2 sets of vectors in R^4: A = {v1, v2, v3}, B = {w1, w2, v3}. You are given that A is a set of linearly independent vectors and that B is a set of linearly independent vectors.

a) The intersection of 2 sets is the set of elements that are common to both sets. Suppose u is in the intersection of span A and span B. Determine a system of equations that could be used to determine all such

Please give specific instructions line per line, and all commands necessary to solve and plot on the same graph the inequality (x+3)^2>(-2)*(x+10).Thank you in advance for your help

The simplification of 1/sqrt(2) is always simplified or unsimplified as the case may be to sqrt(2)/2.  It is a matter of opinion which is simpler I suppose, but throughout mathematics teachings I've always learned cos(45) as 1/sqrt(2) as I'm sure the rest of you all have as well. Yes it is merely aesthetic, but a quirk to see it as sqrt(2)/2

Is the simplification process to get radicals in the numerator rather than the denominator?  I think yes if the answer...

Hi,

What is the command to have a programming loop record a piece of data everytime the loop runs?  I want to record the components of a vector each time.

Thanks for any help.

I would like to be able to modify the Fundiff procedure from the Physics package to generalise it for my application by relaxing some of the constraints and changing to arbitrary direction rather than just a Dirac delta function.

In order to view the code, I write:

interface(verboseproc = 2);
print(Fundiff);

I then copied the code in order to modify it. However, there appear to be some functions that I do not have access to, including Tensor and TensorSort....

I was working with the computation of the eigenvectors of a 3X3 symmetric matrix with algebraic entries and Maple 17 doesn´t give me an answer after a long time, even with CUDA activated. You can see this by the commands below:

Hi,

I am working on a instability problem where I  pose my probkem as a generalized eigenvalue problem. My matrices can reach size 3000x3000. However, even this one 

with(RandomTools); with(LinearAlgebra);
interface(rtablesize = 20);

Digits := 25;
A := RandomMatrix(200, 200);
EigVal := evalf(Eigenvalues(A));

right now running for an hour but still no result. Is there a way to speed up this process? 

Hi

i want to minimizez the "Eq1(h[1],h[2],...h[n])" for all the h[i] in the ranges of -1<h[i]<1.  "n" (number of unknown variables) can be determined during the code and was not know before. how can i do this?

It must be stated that when i have Eq1 and two unknown variables such as h[1] and h[2], i wrote the following code and it works good, but i dont know how can i write mentioned command for unknown number of variables.

NLPSolve(Eq1,h[1]=-1..1,h[2]=-1..1);

thanks for your attention in advance

I'm pleased to announce that Maplesoft is working with the team at DigiArea, Inc. to further develop and enhance their Integrated Development Environment (IDE) for Maple. When we're done, the IDE will be distributed under the Maplesoft brand, and available for purchase through our Web Store.

The IDE doesn't replace Maple's current user interface, but is instead a separate, specialized environment for developing medium- to large-scale Maple libraries. It includes tools...

my function is:

f := proc (x) if 0 < x and x < evalf(Pi) then 1 elif evalf(Pi) < x and x < evalf(2*Pi) then -1 end if end proc

now it tried:

f1 := add((-1)^n*f(x-evalf(2*n*Pi)), n = 0 .. 10)

to get a periodic function.

but unfortunately it says:

Error, (in f) cannot determine if this expression is true or false: 0 < x and x < 3.141592654

already when trying to calc the sum.