Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

Dear Mapleprimes,

I have been struggling with a problem in the last couple of days. I wish to export a Maple plot to LaTeX while ensuring font consistency. While searching for solutions online, I found the psfrag package in LaTeX. So far, however, I have been unsuccesful in making this work. As as test, I attempted to export plot(x^2) to LaTeX. I used the following code to convert to .eps which worked fine:

plotsetup(ps, plotoutput = `plot1.eps`, plotoptions = `portrait, noborder,height=5in,width=5in`);plot(x^2);

Then in LaTeX, I have:

\documentclass{article}

\usepackage{graphicx}

\usepackage{psfrag}

\begin{document}

\begin{figure}[!h]
\centering
\psfrag{x}{$ \alpha $}
\includegraphics[scale=0.5]{plot1.eps}
\end{figure}
\end{document}

However, no replacements are made. After intense Google searching I found the following post http://www.mapleprimes.com/posts/43255-Trouble-Replacing-Maple-Axes-Labels which to sum up argues that this was only possible with earlier versions of Maple.

Does anyone know if the problem has been resolved?

Does anyone know any other ways to ensure font consistency for plots imported from Maple to LaTeX?

Thank you very much in advance!

C

Is it possible to solve (numerically or symbolically) the system of PDEs
sys:={diff(Y(x, t), x$2) = exp(-2*x*b)*(A(x, t)-Y(x, t)), diff(A(x, t), t) = exp(-2*x*b)*(Y(x, t)-A(x, t)) }
under the conditions
ibc:={A(x, 0) = 0, Y(0, t) = 0.1, D[1](Y)(0, t) = 0},
 where the parameter b takes the values 0,0.05,0.1, in Maple? The ranges are t=0..7, x=0..20.

my codes list below.note the last line of the codes.evalf is not effective? the output is a long expression. how to force the maple to evaluate the long expression into a numeric value?

--------------------codes---------------------

restart:
 with(Tolerances):
 ALL := [`$`(1 .. 3)]:
 solution_k := simplify(solve(map(proc (i) options operator, arrow:
 1/k[i] = (cos(Phi)*(x[i]-Tx)+sin(Phi)*(y[i]-Ty))/(-sin(Phi)*(x[i]-Tx)+cos(Phi)*(y[i]-Ty)) end proc, ALL), [Tx, Ty, Phi]), size):
 assign(solution_k):
 k := map(proc (i) options operator, arrow:
 tan(phi[i]) end proc, ALL):
 deg2rad := Tolerances:-`*`(Pi, Tolerances:-`^`(180, Tolerances:-`-`(1))):
 phi0[1] := Tolerances:-`*`(Pi, Tolerances:-`^`(3, Tolerances:-`-`(1))):
 phi0[2] := Pi:
 phi0[3] := Tolerances:-`-`(Tolerances:-`*`(Pi, Tolerances:-`^`(3, Tolerances:-`-`(1)))):
 alpha := Tolerances:-`*`(Pi, Tolerances:-`^`(10, Tolerances:-`-`(1))):
 L := 1:
 phi := phi0:
 x := map(proc (i) options operator, arrow:
 cos(phi0[i]+alpha)*L end proc, ALL):
 y := map(proc (i) options operator, arrow:
 sin(phi0[i]+alpha)*L end proc, ALL):
 angleError := Tolerances:-`&+-`(0, Tolerances:-`^`(10, -4)):
 locError := Tolerances:-`&+-`(0, Tolerances:-`^`(10, -4)):
 phi := map(proc (i) options operator, arrow:
 phi[i]+angleError end proc, ALL):
 x := map(proc (i) options operator, arrow:
 x[i]+locError end proc, ALL):
 y := map(proc (i) options operator, arrow:
 y[i]+locError end proc, ALL):
 evalf(Phi)

-----------------------------outputs--------------------

 

  1. How can I represent the following in Maple?

 

(1) B(t+1) = B(t)+X (t,t+1)–D(t,t+1)

(2) T(t+1) =(m +1)/m(X(t,t+1)+X(t–1,t)+…+X (t–m+1,t–m+2))

restart:assume(M>0);

Eq1 := diff(psi(y), y, y, y, y)-M*(diff(psi(y), y, y))-Gr*b*y = 0;

bcs1:=psi(0)=0,(D@@2)(psi)(0)=0,psi(h)=-F/2,D(psi)(h)=A;

res1:=(dsolve(Eq1));

res2:=(dsolve({Eq1,bcs1},psi(y)));

match(rhs(res2)=rhs(res1),y,s);

s:

C3:=eval(_C3, s);

I am unable to find the constants. Anyway around this?

Addition, subtraction, scalar product, vector, projections and graphs with physics packages and plots. With this you can begin to start the physics course for engineering.

Operaciones_con_Vect.mw   (in spanish)

 

Lenin Araujo Castillo

Physics Pure

Computer Science

i am solving 4 ODE with boundary condition..

> restart;
> with*plots;

 

then i got this error..

Error, (in dsolve/numeric/bvp/convertsys) unable to convert to an explicit first-order system

 

i dont know where i need to change.. could you help me..

 

 

 

Hello, I'm new here, I hope there is someone willing to give me a hand with my problem. I've been trying to solve a problem with a for loop and I have errors in my code, could you please tell me what's wrong with the  bold part?

 

restart;

with(plots);

g := proc (F, A, B, X0, g::evaln) local f, a, b, E, x0, erreur, N, n, x1, ps, pp, pic; f := F; a := A; b := B; x0 := X0; E :=

evalf(abs(f(x0)));

erreur := 0.1e-3;

N := 100;

n := 0;

for i to N do x1 := evalf(x0-f(x0)/(D(f))(x0));

E := abs(f(x1));

n := n+1; ps[n] := plot([[x0, 0.], [x0, f(x0)], [x1, 0.]], color = green, thickness = 2);

x0 := x1 end do; g := evalf(x1); pp := plot(f(x), x = a .. b, color = red); pic := seq(ps[i], i = 1 .. n); display(pp, pic) end proc;
Warning, `i` is implicitly declared local to procedure `g`
f := proc (x) options operator, arrow; sin(x)-cos(2*x)+.2 end proc;
x -> sin(x) - cos(2 x) + 0.2
a := 0; b := 6;

 

 

 

Thank you very much!

What is the weak solution integral equation for 

du(x)/dx2 -(1+x2 ) u(x)-1=0

This has been buggin me all day, but if i define a variable with an expresion say "a:=3 x+5" and i then want to assign this expression to a function like so "f:=x->a". if i then call f(7), maple return with "3 x+5" so just returning the value of a without substituting x with 7.

Is there any way in which i can define a function this way?

Hello everybody,

Since I am geting older, I need to fix the font size form 12 to 14.  I have been tryong to find where to do that permanent change.  But without success.  Could someone help to to resolve this problem.  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

I have a function. It's calculating coefficients of a polynomial.

So when it's done, I have the variables a0, a1, a2,a3 ... aN

where N is an input value and could be any positive integer.

 

Now, I just want to show them on the screen. So if I have, say , a0=1.3 and a1=5.76, I want this to appear:

1.3x + 5.76x2

 

That's all. I just want a loop that does this:

for term from 1 to N do:

    print( a0 ); print (x^N); print ("+");

od:

so all the terms come out on the same line, as in my example above. I've tried so many ways, but each time it ignores the numerical values of a0 and just writes "a0" on the screen, or breaks it up into a set, or puts || marks everywhere, or does it on sequential lines, or something or something or something.

I have Maple 16 for Windows 64-bit. How to get a printable Maple 16 Quick Reference Card? Also, how to save the Maple 16 Quick Reference Card as a separate file? (When I try to copy the Card I get en error message "selection too large").

 

How can I use separation of variable to solve heat equation ut=uxx on a rod of length pi/4 with u(0,t)=0, u(pi/4)=0 and u(x,0)=x(pi/4-x) 

then solve heat equation by laplace transform

Dear Maple experts,

I would like to generate population data that is the best possible approximation of a multivariate normal distribution with a specified covariance matrix and vector of means. I do not want to draw a sample from a multivariate distribution, but I want the population values itself which are approximately multivariate normal distributed. The size of the datamatrix should be limited, otherwise I could draw a huge sample from a multivariate normal distribution. For instance, I would like to generate a 200 by 6 data matrix that is the best (or at least good enough) approximation of a MVN distribution. For a bivariate normal distribution one could calculate the probalities of a grid by integrating the density, but for six variables that seems undoable. 

Before trying the invent the wheel again, I think I will ask this question to experts, because it is unlikely that there is no already existing algorithm that does the job pretty well.

Thanks in advance,

Harry Garst

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