Maple Questions and Posts

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Hello, Does anybody know if there's any way to display a 2-D plot & a 3-D plot on the same axes? I tried using display and I got the message: Error, (in plots:-display) cannot display 2-D and 3-D plots together Regards, Drew
In the example below, I find integers that solve the equation. That solution happens to be nonnegative. But in general, just plugging in zeros may not give me a nonnegative solution. What is a good way to find a *nonnegative* integer solution, if one exists?

> aa := x^(-4)*exp(-2*x);

> pmu:=product(muval[j]^a[j],j=1..kmax);

Hello, This is related to my recent posts at http://www.mapleprimes.com/forum/integral-equations#comment-8339 I have a function of three variables one of which is inside a (difficult) integral. I want to calculate & store the array of points which satisfy the function, then use transform to change those points and then plot them. The function looks like this: P:=(x,m)->sqrt(x)/(sqrt((x+m)^2-1)*(x+m+sqrt((x+m)^2-1))); IntegralP:=(m)->Int(P(x,m),x=0..infinity); f4A:=(beta,Omega,m)->beta^2+(3*(beta*Omega)^(3/2)*evalf(IntegralP(m)))/(4*2^(3/4))-1; In my earlier case, m=1 (and there was another variable, but it wasn't under the integral) so the integral was not a problem. I tried the same method;
Hello, I hope someone can help me with this. 1) In Worksheet mode, if I type a:=b+c; and press Enter, Maple echoes a:=b+c 2) In Document mode, if I type a:=b+c; and press Enter, Maple echoes b+c I actually want Document mode to give me the same form of output as Worksheet mode (i.e. I want Document mode to give me a:=b+c as the output). Can this be done? Thank you for any assistance. Ty
Still being a newbie to Maple, I am stuck on this one. I am trying to create a general system of changing my equations in an [x,y] coordinate system to a [u,v] system. As a specific example: I have two substitution equations, u=2x-3y and v=-x+y. I have four equations: x=0, x=-3, y=x, y=x+1. I have tried MapToBasis with both static and procedure statements and I am not having any luck. The equations do not completely change to [u,v]. Here is one example: > proc (u, v) u = 2*x-3*y end proc; > proc (u, v) v = -x+y end proc; > with*VectorCalculus; > SetCoordinates('cartesian', [u, v]);
I am trying to plot the equations shown in Figures 5 and 6, which are solutions to Equations (14), (15), and (16). These equations are developed in the Lo paper (attached). I am working through the symbolic solution by hand and would greatly appreciate any suggestions on how to set these equations and the graphs of the same in a worksheet. Thank you for the assistance anyone may offer. Wayne Bell Download 4865_Lo_p691.pdf
View file details Download 4865_Lo_p692.pdf
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Question: How do I generate tickmarks in multiples of Pi? The answer has been posted before but this question comes up often enough that it is worth repeating. In Maple 10 and earlier versions, you had to build a custom list of tickmarks, and the only way you could get the Greek pi symbol was to use the Symbol font. In Maple 11, you can use the new 'spacing' structure with the 'tickmarks' option. To get tickmarks in multiples of Pi, use: > plot(sin(x), x=0..8*Pi, tickmarks=[spacing(Pi), default]); To get tickmarks spaced by 2*Pi, replace spacing(Pi) with spacing(2*Pi). To get the tickmarks occuring on the odd multiples of Pi, use spacing(2*Pi, Pi). The second argument is a fixed value from which the other tickmarks are determined.
I'm having a problem to run this Maple. Thank you for your help. > solve({e1⊢e1=e1,e2⊢e2=e2, e1⊣e1=alpha1*e1+alpha2*e2,e1⊣e2=alpha3*e1+alpha4*e2,e2⊣e1=alpha5*e1+alpha6*e2,e2⊣e2=alpha7*e1+alpha8*e2, (e1⊣e1)⊣e1=e1⊣(e1⊣e1),(e1⊣e1)⊣e1=e1⊣(e1⊢e1),(e1⊢e1)⊣e1=e1⊢(e1⊣e1),(e1⊣e1)⊢e1=e1⊢(e1⊢e1),(e1⊢e1)⊢e1=e1⊢(e1⊢e1), (e1⊣e1)⊣e2=e1⊣(e1⊣e2),(e1⊣e1)⊣e2=e1⊣(e1⊢e2),(e1⊢e1)⊣e2=e1⊢(e1⊣e2),(e1⊣e1)⊢e2=e1⊢(e1⊢e2),(e1⊢e1)⊢e2=e1⊢(e1⊢e2), (e1⊣e2)⊣e1=e1⊣(e2⊣e1),(e1⊣e2)⊣e1=e1⊣(e2⊢e1),(e1⊢e2)⊣e1=e1⊢(e2⊣e1),(e1⊣e2)⊢e1=e1⊢(e2⊢e1),(e1⊢e2)⊢e1=e1⊢(e2⊢e1), (e1⊣e2)⊣e2=e1⊣(e2⊣e2),(e1⊣e2)⊣e2=e1⊣(e2⊢e2),(e1⊢e2)⊣e2=e1⊢(e2⊣e2),(e1⊣e2)⊢e2=e1⊢(e2⊢e2),(e1⊢e2)⊢e2=e1⊢(e2⊢e2), (e2⊣e1)⊣e1=e2⊣(e1⊣e1),(e2⊣e1)⊣e1=e2⊣(e1⊢e1),(e2⊢e1)⊣e1=e2⊢(e1⊣e1),(e2⊣e1)⊢e1=e2⊢(e1⊢e1),(e2⊢e1)⊢e1=e2⊢(e1⊢e1), (e2⊣e1)⊣e2=e2⊣(e1⊣e2),(e2⊣e1)⊣e2=e2⊣(e1⊢e2),(e2⊢e1)⊣e2=e2⊢(e1⊣e2),(e2⊣e1)⊢e2=e2⊢(e1⊢e2),(e2⊢e1)⊢e2=e2⊢(e1⊢e2), (e2⊣e2)⊣e1=e2⊣(e2⊣e1),(e2⊣e2)⊣e1=e2⊣(e2⊢e1),(e2⊢e2)⊣e1=e2⊢(e2⊣e1),(e2⊣e2)⊢e1=e2⊢(e2⊢e1),(e2⊢e2)⊢e1=e2⊢(e2⊢e1), (e2⊣e2)⊣e2=e2⊣(e2⊣e2),(e2⊣e2)⊣e2=e2⊣(e2⊢e2),(e2⊢e2)⊣e2=e2⊢(e2⊣e2),(e2⊣e2)⊢e2=e2⊢(e2⊢e2),(e2⊢e2)⊢e2=e2⊢(e2⊢e2)},{alpha1,alpha2,alpha3,alpha4,alpha5,alpha6,alpha7,alpha8});
I wonder if this is the right way to plot following function. > restart: > huur:=t->400*(1.01)^ceil(t); floor(t) huur := t -> 400 1.01 > plot(huur(t),t=0..50,discont=true); As you can see I have a the function huur(t) with t a positive integer. I can't find another way to plot this function except by making use of the floor function. Isn't there a better way? Asumming that t is a positive integer didn't worked.
Hello, in a differential equation (in Maple 10) a variable should be replaced by a constant K so that all differentiations of this variable should evaluate to zero. This is my code: constants:= constants, K: myDG1:= u(t) + diff(u(t),t)^2 + v(t)=0: subs(u(t)=K,myDG1); K+(diff(K, t))^2+v(t) = 0 Although I have already assigned K to be constant, Maple doesn't replace d/dt K by 0. Any help would be appreciated.
Consider a sum: Sum((-1)^(i+1)*Sum(1/j,j=1..i)*x^i,i=1..infinity); value(%); The result given by Maple 11 is: sum((-1)^(i+1)*(Psi(i+1)+gamma)*x^i, i = 1 .. infinity) However, from an calculus book I know the answer is: log(1+x)/(1+x). How can I get this result from Maple? Whether should I give some assumptions? Best wishes.
Here I difine a subfunction:

mandelbrot := proc(x, y)
local c, z, m;
c := evalf(x+y*I);
z := c;
for m to 30 while abs(z) < 2 do
z := z^2+c
od;
abs(z);
end:

Then I want to plot this function using densityplot command:

plots[densityplot](mandelbrot, -2 .. 0.7, -1.2 .. 1.2, grid=[50, 50], style=patchnogrid, scaling=constrained);#This command is right.

But...

plots[densityplot](mandelbrot(x,y), x=-2 .. 0.7, y=-1.2 .. 1.2, grid=[50, 50], style=patchnogrid, scaling=constrained);#Error, the proc I defined could not determine whether abs(x+1.*I*y) < 2.
To Maplet enthusiast: I uploaded a functional shortened code from a 35-page code. See ShortVersion.mw under Recent Files. Although the file is compiled/interpreted successfully by Maple 11, the maplet plotter did not plot. I will appreciate it very much if someone can offer an explanation why the element failed and a possible suggestion on how to correct the problem. Many thanks Pat Velez
Here is a derivative that I'm trying to take that I get a different answer from Mathcad. This would normally be ok I guess except when trying to figure arclength in Maple I don't get an answer and in Mathcad it works fine. diff((3+4*y^4)/12*y,y); The original equation is: 12xy - 4y^4 = 3 Thanks, glenn
Hello, I am a brand new Maple user. I'm strictly an amateur hobbyist (at mathematics and mathematical software) in every sense, so I hope other members will understand why my questions will be so basic. I look forward to learning Maple, and will be very grateful for any assistance in the future from the Maple users community.
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