Maple Questions and Posts

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A created an overly complicated worksheet thaI can no longer open.  It's about 17 Mb, has several interactive plots and equations in it.  Is there a way to force Maple to open a worksheet without executing it?

(Lesson learned:  split this up into separate worksheets next time.)

I wish to use closed Newton-Cotes with n=2, also known as Simpson's Rule to numerically integrate an improper integral.

 

If it matters the integrand is (cos(2x))/(x^1/3), integrating between x=0..1

I've tried a few different (but similar) code but to no avail. Here is some stuff I've tried:

 

1.

 

with(Student[NumericalAnalysis]):

with(Student[Calculus 1]):

Simp1 := ApproximateInt(cos(2*x)/x^(1/3), x = 0 .. 1, method = newtoncotes[2]);

 

This gives me an output message that says "Float(infinity)".

 

2.

with(Student[NumericalAnalysis]):

with(Student[Calculus 1]):

Simp2 := int(exp(-x)/sqrt(1-x), x = 0 .. 1);

 

This doesn't have Simpson's rule as an option.

 

I think I'm on the right track with my first try, since I guess it wasn't tecnically an error message, but I'm not sure how to alter the code accordingly to get a numerical value instead. Thanks for any help.

 

 

 

 

 

 

 

restart

with(ODETools):

eqn1 := ((diff(f4(r), r))*r-f4(r)*f1(r)+f4(r))/(f4(r)*r^2) = 0

((diff(f4(r), r))*r-f4(r)*f1(r)+f4(r))/(f4(r)*r^2) = 0

(1)

eqn4 := f4(r)*(r*(diff(f1(r), r))+f1(r)^2-f1(r))/(f1(r)^2*r^2) = 2*m*Dirac(r)*f4(r)/r^2

f4(r)*(r*(diff(f1(r), r))+f1(r)^2-f1(r))/(f1(r)^2*r^2) = 2*m*Dirac(r)*f4(r)/r^2

(2)

dsolve({eqn1, eqn4})

[{-(2*Dirac(r)*(diff(f4(r), r))^2*m*r^2+4*Dirac(r)*(diff(f4(r), r))*f4(r)*m*r+2*Dirac(r)*f4(r)^2*m-f4(r)*(diff(diff(f4(r), r), r))*r^2-2*(diff(f4(r), r))*r*f4(r))/f4(r) = 0}, {f1(r) = ((diff(f4(r), r))*r+f4(r))/f4(r)}]

(3)

``

When I try to solve this system of ODE, Maple does not factor out f4(r) in eqn4.  How do I get Maple to solve eqn4? So that I can get the correct result for f1(r) below:

 

dsolve((r*(diff(f1(r), r))+f1(r)^2-f1(r))/(f1(r)^2*r^2) = 2*m*Dirac(r)/r^2)

f1(r) = -r/(2*m*Heaviside(r)-_C1-r)

(4)

``

Thanks.

Download dsolve_question.mw

Hi,

I got the Real and Imaginary of an expression J1 

assume(d,real):

Gamma:=0.04:tau:=10*Pi:j:=0:

J1:=(exp((1-I*d)*Gamma*tau)-1)/((1-I*d));

J1mod:=simplify((Re(J1))^2+(Im(J1))^2): (I works here this amont is real)

################

but when I change the expression  for J1 to be

J1:=((2*e^(-2^(-j-1)*(1-I*d))-e^(-2^(-j)*(1-I*d))-1)*exp((1-I*d)*Gamma*tau)-1)/((1-I*d)):

J1mod:=simplify((Re(J1))^2+(Im(J1))^2): 

J1mod here is complex(I dont know why? it doesnt separate the real and the im )

Any comments will help

Thanks

Hello everybody,

 

can somebody tell me how to use subscripts in textmode? 

 

Thanks for your help!

 

Picard

OK, what am I doing wrong here?

This polynomial can be factored by almost anyone who knows algebra:

factor(x^2+y^2+2*xy);

but Maple refuses:

 x2  + y2  + 2 xy

but if I pose the question this way:

ans := expand((x+y)^2);

factor(ans);

(x + y)2

I get the expected result.  What is wrong with how I am using the factor?

Hi,

I am new to maple. I want to write the following codes in Maple in a file and execute it. I am writing the code in matlab. thanks

 

for i =1:1:5

for j=1:1:5

M(i,j)=i+j;

end

end

 

thanks

I am trying to take a list of prime numbers that I already generated with the following:

L4:=NULL:

for i from 2 to 50 do

if nops(ifactor(i))=1 then L4:=L4,i end if:

end do;

[L4]

This gives me the primes bewteen 2-50, [2,3,5,7,11,13,17,23,29,31,37,43,47].  I want to write something that takes the products of my list like this

2*3=6

2*3*5=30

2*3*5*7=210

and so on through the whole list.  Any ideas?  I figured out how to take the product of 2*3, 2*5, 2*7 and so on, but I cant figure how to make it do 2*3, 2*3*7 and so on.

I am doing a presentation on Euclids infinite prime proof and thought it would be cool to write a maple program that will show his proof for a certain amount of prime numbers.

 

Thanks,  Matt

 

 

 

Hi,

When I show the context menu on maple 18 (CTRL click on mac or right click with a mouse) on an equation the system doesn't show the tutor or series options as written in the example I use.   (after having loaded the multivariate calculus as asked)

Is that an issue in my installation ?  Where do I have to place the cursor ?  Is the multivariate calculus module well loaded ?

Thanks for your help

 

Stéphane

Dear friends,

I would like to know the agorithm of isovle for solving 2 order equations for more than 3 variables.

I see that not all the solutions are shown for example for:

x^2+y^2=z^2+t^2

 Could you please help me with this?

 

hi,

I have bought maple18 student edition. I want to learn GPU programming through Maple. Please suggest how to do this. I have a notebook with i7 processor and NVIDIA geforce 750m graphics. I want to solve system of algebraic equations, integral equations etc in parallel using GPUs.

thanks

I am trying to simplify sums of a few LaguerreL polinomials of different n using the identities in the function advisor such as recurrsion relations. How does one go about in using the FunctionAdvisor identities when trying to simplify expressions containing orthogonal polynomials? 

 

 

I want to generate all 4x4 matrices of rank-1 over the field with two elements, F_2. I don't want to use actual arrays though, I just want to use symbols representing the unit matrices. So for example Eij represents the 4x4 matrix with a 1 in row i & column j, and 0's elsewhere. 

We have 16 unit matrices: E11, E12, ..., E14, ... E41, E42, E43, E44. Then we have to look at all possible linear combinations that result in a rank-1 matrix. So for example: E11+E12,  E11+E21,  E11+E12+E13,  E33+E43, etc. The total number of rank-1 4x4 matrices over F_2 is 225. How can I find all of these quickly?

Hi number of officials,

As I enter the command defined 'int' I get an error message.

What can I do. Can you help me.

 

Commands Entered:

int(x^2+3*x, x);

 

ansvers:

Error, (in int) wrong number (or type) of arguments: invalid option value passed to indefinite integration: {}

I'm wondering why the fit routine gives weird results, when telling him to fit

with(Statistics):

X:=Vector[column](3, {1 = 616.3096, 2 = 616.3248, 3 = 616.3342}, datatype = sfloat, storage = rectangular, order = Fortran_order, shape = []);

Y:=Vector[column](3, {1 = 99590., 2 = 127564., 3 = 144223.}, datatype = sfloat, storage = rectangular, order = Fortran_order, shape = []);

g:=Fit(a+b*x+c*x^2,X,Y,x)

It's telling me: Warning, model is not of full rank

If I calculate the coefficients the direct way (well the fit should be exact,because we only have 3 values and 3 parameters) I get:

M:=Matrix(3, 3, {(1, 1) = 1, (1, 2) = 616.3096, (1, 3) = 379837.52305216, (2, 1) = 1, (2, 2) = 616.3248, (2, 3) = 379856.25909504, (3, 1) = 1, (3, 2) = 616.3342, (3, 3) = 379867.84608964}, datatype = anything, storage = rectangular, order = Fortran_order, shape = []);
V:=Vector[column](3, {1 = 99590, 2 = 127564, 3 = 144223}, datatype = anything, storage = rectangular, order = Fortran_order, shape = []);
with(LinearAlgebra):
C:=MatrixVectorMultiply(M^-1,V)

 

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