With the package VectorCalculus we can study the speed and acceleration to their respective components. Considering the visualizaccion and algebraic calculations and to check with their respective commands. Both 2D and 3D.

Velocidad-Aceleració.mw     (in spanish)

Lenin Araujo Castillo

Physics Pure

Computer Science

Hello,

I have to simplify a piecewise function and Maple gets a more complicated solution than needed.




I don't know how to handle this kind of problems with Maple?
I don't understand why Maple doesn't see this?
Am I doing something wrong?

Thanks in advance for your help / advice.


# the code of my example
restart:
Mf(x):=piecewise(x<=L/2,1/2*x*F,x>1/2*L,1/2*x*F-F*(x-1/2*L));
# Make a dimensionless function:
# -    Mf(x):= Mf(xi)*F*L
# -    variable ξ  ( xi:=x/L )
eq[1]:=Mf(xi)*F*L=Mf(x);
Mf(xi):=solve(eq[1],Mf(xi));
Mf(xi):=subs(x=xi*L,Mf(xi));
# F is the Force and L is the Length of the beam:
Mf(xi):=simplify(Mf(xi)) assuming F>0,L>0;
print("When I simplify this function by hand it will be");
Mf(xi):=piecewise(xi<=1/2,1/2*xi,xi>1/2,-1/2*xi+1/2);

Hello, everyone. I faced some promblems on maple. Hope you can help me.

I want to set up the commutation rules like Pauli sigma matrix in Physics Packages,

but failed to get the correct one.

Here is my maple code:

restart;
with(Physics);
Setup(mathematicalnotation = true);

Setup(quantumop = {Q}, algebrarule = {%AntiCommutator(Q[j], Q[k]) = 2*KroneckerDelta[j, k], %Commutator(Q[j], Q[k]) = 2*I*(Sum(LeviCivita[i, k, l]*Q[l], l = 1 .. 3))});

Commutator(Q[1], Q[2]);
                              
AntiCommutator(Q[1], Q[2]);
                              
AntiCommutator(Q[1], Q[1]);
                              
Commutator(Q[1], Q[1]);

In fact, Commutator(Q[1], Q[2]) give a incorrect result 0 while the correct answer is  2*I*Q[3].

Do anyone know how to resolve this?

Hello,

can I remove tick marks from axis in plots ?

Hi Everybody.

Doing some calculation in quantum mechanics, I stuble on that integral:

I see immediately that the answer is 1/2.  But Maple 18 cannot give an answer other than a limit that he cannot evaluate.  I even try assumption that p and hbar are realcons.  I get infinity.

Any idea?

Thank you in advance for your help.

--------------------------------------
Mario Lemelin

Maple 18 Ubuntu 13.10 - 64 bits
Maple 18 Win 7 -  64 bits
messagerie : mario.lemelin@cgocable.ca
téléphone :  (819) 376-0987

Hello,

Can anyone explain to me why there is a difference between:

f := int((A*sin(omega*t+phi)-B*sin(omega*t))^2, t);

and the expanded version:

f := int((A*sin(omega*t)*cos(phi)+A*cos(omega*t)*sin(phi)-B*sin(omega*t))^2, t);

Thanks

Hi,

Is there any difference between

Matrix(4,5,(K,C)->K+C);

and

Array(1..4,1..5,(K,C)->K+C);

Say if I have a very 'complicated' procedure myfunc(K,C) that takes two options, but it runs all dependently.

Matrix(4,5,(K,C)->myfunc(K,C));

and

Array(1..4,1..5,(K,C)->myfunc(K,C));

Which one is more efficient? The final ouput of each run from myfunc is just a integer value.

The reason I am asking it that i think both runs on a 'single' thread (core) as CPU usage is always very low, around 15-20%.

If I look at the task manager, some cores (threads) arent doing anything.

Is there anyway to speed things up?

Thanks,

I am trying to get a Fourier transform of a Gaussian:

so I say

and get

The Fouriertransform of a Gaussian is well known and the result I expect is something like

exp(1/2*sigma^2*omega^2)

ignoring normalizations & other factors. I know that I can add functions to inttrans, but I kind-of expected inttrans[fourier] to know how to transform a Gaussian, it is a commonly used transformation. Even if I set phi0 to 0 it does not produce anything useful.

???

Mac Dude

Hi

coeff dosn't work correctly in maple 17

Here is the code

restart;

E := m1*(diff(x1(t), t, t))+3*k*x1(t)-k*x3(t)-k*x2(t);
coeff(E, x1(t));
Error, unable

the coeff of diff(x1(t),t,t) and x2(t) and x3(t) can be determined and are true, but the coeff of x1(t) can not be determined??!!!!!!!!!!!!

ex := taylor(exp(x), x = 0, 5);

it can not use with subs(x=1,ex);

how to remove O(x^5) part

How can I use maple and separation of variables ,solve the wave equation u_tt=u_xx for a string of lengh 4 with u(x,0)=sin (Pi/2 x) e^-x . u_t(x,0)=0.u(0,t)=0 and u(4,t)=0.

Funciones.mw ...............................................................

Hello everybody,

While doing a document about quantum mechanics, I stumble on this strange behaviour.

>with(ScientificConstants);
>GetConstant();
>GetValue()

Error message:

Error, (in ScientificConstants:-GetValue) `a[0]` is not a scientific constant object

But in the Assistant Scientific Constant, the value is there: 5.291772e-11m

Why is it not directly available like I did the first time?

Thank you in advance for your help.

--------------------------------------
Mario Lemelin

Maple 18 Ubuntu 13.10 - 64 bits
Maple 18 Win 7 -  64 bits
messagerie : mario.lemelin@cgocable.ca
téléphone :  (819) 376-0987

Hello,

I would like to ask if one can divide the maple worksheet (mw) to multiple files like series of command. It could be simillar to include in C++. I have found only save and read command but they can be use only for variables or they can be use in other way ? 

Thank you for any possible solution,

vidocq