Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

I would like to declare spin states; spin up (alpha) and spin down (beta)

such that they form an orthogonal basis not necessarily using Dirac Ket notaion.  I am using the Physics package and Linear Algebra


When I try to use the Dirac Ket notation, I have noncommuting issues with the Cartesian basis

Cart := Vector[column](3, [Ket(X), Ket(Y), Ket(Z)]);

Spin := Vector[column](2, [Ket(alpha), Ket(beta)]);

Hi pro, I have some problem with Maple.

Now I use Maple 12.

First

I want transfer this mathematical formula

> sin(q[1])*(sin(q[2])*cos(q[3])+cos(q[2])*sin(q[3]))

to

> sin(q[1])*sin(q[2]+q[3]);

how to do that. Can i use any command ?

Second

When I type this command

> A:=diff(sin(q[1](t)+q[2](t)),t);

and now I want derive with variable dq[1](t)/dt then how do i ?

 

I have done a lot of research and simulation when it comes to trailing stop losses.

I have managed to get very nice results but only through theoretical reasoning

and simulation. However simulation is not as "pure" as manipulating equations.

What I have not managed to do so far is to manipulate the PDF to get an probability

that the trail stop is going to be triggered for a specified normal distribution (mean, volatility)

and trailing distance.

 

I have a rather simple equation describing a predator prey model  p=900+c*e^(t/2)

I want to plot the equation for various values of c.  How do I set maple to plot it? 

am try to integrat the following
 

int((z-x)f(x), x=L...z-1)
 

where f(x) is an undefined PDF, L is the lower bound H is the upper
bound.  The results should look like this
 

(z-1)F(z-1)+int(F(x), x=L..(z-1))  using integration by parts
 

Similarly  I want to integrat
 

int(xf(x), x=z..H) again, using integration by parts the result I am
lookig for should be
 

xF(x) - int(1-F(x), x=z..H).
 

Computers with multiple processors have been around for a long time and people have been studying parallel programming techniques for just as along. However only in the last few years have multi-core processors and parallel programming become truly mainstream. What changed?

Here are some definitions for terms used in this post:

  • core: the part of a processor responsible for executing a single series of instructions at a time.
  • processor: the physical chip that plugs into a motherboard. A computer can have multiple processors, and each processor can have multiple cores
  • process: a running instance of a program. A process's memory is usually protected from access by other processes.
  • thread: a running instance of a process's code. A single process can have multiple threads, and multiple threads can be executing at the same on multiple cores
  • parallel: the ability to utilize more than one processor at a time to solve problems more quickly, usually by being multi-threaded.

For years, processors designers had been able to increase the performance of processors by increasing their clock speeds. However a few years ago they ran into a few serious problems. RAM access speeds were not able to keep up with the increased speed of processors, causing processors to waste clock cycles waiting for data. The speed at which electrons can flow through wires is limited, leading to delays within the chip itself. Finally, increasing a processor's clock speed also increases its power requirements. Increased power requirements leads to the processor generating more heat (which is why overclockers come up with such ridiculous cooling solutions). All of these issues meant that is was getting harder and harder to continue to increase clock speeds.  The designers realized that instead of increasing the core's clock speed, they could keep the clock speed fairly constant, but put more cores on the chip. Thus was born the multi-core revolution.

Could any one see what maybe the problems pls?

 

Could any one have a look at my results pls, don't know why I couldn't get the right results!?

I have several plots need to be dislayed together. They are not assigned color property before hand. I knew that I can use display command to plot them together. But I wondered if I can plot them in different colors.

So I'm new to Maple and I have a homework problem that says:

"Write x^3+x^2+x+1 in terms of powers of x-1 using the taylor command."

Honestly I have no idea where to even start, any help would be awesome.

Thanks,

Andrew

Newbie question, please help.  I'm getting a little frustrated with Maple 13; read on-line help but don't seem to find the pattern for my problem.

Symptoms:

Type: exp(-t) + t

Highlight on the expression, right click on Plot. I got a plot.

Type: plot ([exp(-t)+ t, t=-2..2]);

Maple 13 gives me back the expression, but no plot. 

Please help.  Thanks in adance.

 

I stumbled upon some maple:isms when trying to rewrite some rather simple but tedious (and long) expressions in some filter design I'm working on that it is easy enough (but error prone..)  to do by hand.

Let's illustrate with a trivial example. How can I force maple to do roughly the following simplification

I'm using maple 11. I found today a wield thing happened when I assigning values to a list.

When Maple was just started, everything is working well. But after several operations, error messages shown bellow appeared. If restart the Maple, everything went well again.

Hi,

I'm a newbie with Maple 13, Student edition. 

 

Typed:

plot ( [ 1 + sqrt(t)] );

Maple 13 gives me a graph. 

<p>sys := [diff(v(s, n), n)+diff(u(s, n), s)+diff(xi(s, n), s)+A*n*(diff(c(s), s)) = 0, A1*(diff(xi(s, n), n))+diff(v(s, n), s)-c(s)+A2*v(s, n)+A3*c(s) = 0, diff(u(s, n), s)+2*A2*u(s, n) = A2*(xi(s, n)+A*n*c(s))-A1*(diff(xi(s, n), s))-A2*n*c(s)] The dependent variables are v,u and xi and the boundary conditions are: bc := {u(0, n) = 0, v(s, -1) = 0, v(s, 1)} other things: -1<=n<=1. I tried ans := pdsolve(sys, bc, xi(s, n), u(s, n), v(s, n)) i also tried ans := pdsolve(sys, bc) I keep getting error messages about the dependent variables.
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