## How to Extract Real Solutions?...

for having just the real solutions in the output of the solve command is it enough to use the RealDomain Package?Is there any other way for extracting only the real solutions?

## isolate a subexpression...

Hello, I bought Maple 11 for its algebraic manipulation capabilities, but I can't figure out how to do this: Given, for example, Vs/R1 = (Vs - Vo)/R2 I want Maple to solve for Vo/Vs = ??? I can isolate a single variable (either Vs or Vo), but that is not what I want. Thanks!

## Get the real and imaginary part of a complex expre...

Hi, I am new in maple, and I would like to get out the real and imaginary part of an expression. My function is as followed: eps*(f)=epsinf+Deltaeps/(1+(i*2*Pi*tau*f)^(1-alpha))^beta where eps* is my complex function with parameters: epsinf, Deltaeps, tau, alpha and beta. f is my variable. This function is known as havriliak Negami function in Physics, which describe the behavior of the dielectric susceptibility for a relaxation. In litteratur, I can find the real and imaginary part of this function, but first I would like to verify it... How is it possible to get the real and imaginary part of this function?

## Distance between two parallel planes...

So I am taking multi variable calculus this semester and we have been asked to use maple to complete an assignment. I have never used maple before so I tried to read the tutorial we were given. Anyway, it was written by some incompetent fool as I am now more confused than when I started. The concepts are appallingly illustrated and I have no idea what to do. I have attempted to do most questions and I will probably get part marks for most, but I am completely clueless regarding this one. The Question is as follows: "Determine the distance from the plane 2x + y - z = 1 to the plane 2x + y - z = 6"

## Multivariable Calc, distance between planes......

So I am taking multi variable calculus this semester and we have been asked to use maple to complete an assignment. I have never used maple before so I tried to read the tutorial we were given. Anyway, it was written by some incompetent fool as I am now more confused than when I started. The concepts are appallingly illustrated and I have no idea what to do. I have attempted to do most questions and I will probably get part marks for most, but I am completely clueless regarding this one. The Question is as follows: "Determine the distance from the plane 2x + y - z = 1 to the plane 2x + y - z = 6"

## choosing tickmarks in logplot...

Hello everyone, I have a problem with Maple 11's choice of tickmark spacing in a logplot, >pdata := logplot(points, style=point, symbol=circle, thickness=2, color=red): The resulting plot has the y-axis tickmarks located only at [1 x 10^n, 5 x 10^n, 1 x 10^(n+1), 5 x 10^(n+1), ...] How do I make Maple show the more conventional log-scale tickmarks at [1 x 10^n, 2 x 10^n, 3 x 10^n, ..., 1 x 10^(n+1), 2 x 10^(n+1), ...] Thanks much for your help! -Dan

## Integration constants help...

Hello, I appreciate this forum because NOT one of my questions has been answered by the Maple help, which I think is very poor. The question I am working with has to do with the arbitrary constants that maple puts into the solution to differential equations. I have two differential equations which, when solved, will be set equal to each other. Now the equations are second degree so they both have two constants associated with their respective solutions. The problem is that when I set the solutions equal to each other, the constants will be different, but I can't seem to rename them from the standard _C1 etc. Here is what I tried:

## Quadric Surfaces and Space Curves...

Can someone help me with parameterizing equations and plot it into maple to show the graph For example x^2 + y^2 + z^2=1 How do i parameterize it for each of the traces and turn the equation into a space curve in R^3? Also, how do i plot the surface and the curves together on the same plot, using a grey wire frame for the surface, a black line for the x=k trace, a blue line for the y=k trace and a red line for the z=k trace? Thx

## Odd results plotting a procedure with a varying pa...

I am getting such odd results from plotting a procedure that I call Q_opt1. When I plot the procedure at a specified set of points, the values produced and shown by plot look correct, i.e. my procedure Q_opt is *decreasing* in the parameter s.

This can be seen in the link below to the plot Q_opt1_Diagnostic1, in which I plotted the following:

>plot([Q_opt(0.4,0.01,0.5),Q_opt(0.3,0.01,0.5),Q_opt(0.2,0.01,0.5),Q_opt(0.1,0.01,0.5)],s=0..0.5,legend=["Actual value s=0.4","Actual value s=0.3","Actual value s=0.2","Actual value s=0.1"]);

HOWEVER, when I plot the procedure with s as the input variable in plot, i.e.

## How do I get maple to output the results in the ce...

I am using a maple document to solve some equations. All of the results are displayed centered on the page, except one. This result is all the way on the left side. Does anyone know why? http://www.mapleprimes.com/viewfile/1828'>View file details When I uploaded the file it is in the center! Why is the last result on the left in my screen?

## how do I really unassume a variable in Maple?...

Hello everyone, thanks for your help in advance! To perform the integral of this function over rho: >f1 := alpha*(3*lambda^3*rho*d/(rho^2 + d^2)^(5/2)); I need to assume the variable (d > 0): so, >assume(d > 0); >I1 := int(f1,rho=a..b); >I1; 3 2 2 (3/2) 2 2 (3/2) alpha lambda d~ (-(b + d~ ) + (a + d~ ) ) - ----------------------------------------------------- 2 2 3/2 2 2 3/2 (a + d~ ) (b + d~ ) but I cannot now plug in real numbers for d in I1 (e.q. d := 3.0). I get the same I1 expression as above, with d~. I tried unassume(d > 0), but it did not help. Anyway, thanks for your help.

## typesetting rule assistant...

On most of the documents I have worked with this does not happen. On one of them, every time I execute the whole document (!!!) the typesetting rule assistant pops up. What is causing this and how can I turn it off! It is very annoying...

## Extract the argument of a trig function...

I have an expression of the form A*arctan(B) where A and B are any expressions. How do I assign the B to a variable. I can do this with nops and op but it seem so clumsy. There must be an elegant way to do this.

## Strange result using Groebner[Basis], why?...

Hi! I'm using Maple 10 on my Laptop. OS is Fedora 7. I want to compute a Groebnerbasis for the following ideal. the_ideal:=[x3, x2, x1, x0, -1274687*x0^2-890931*x1^2-1178748*x2^2-986870*x3^2+1740*y2*x0-1740*y0*x2-4104*y1*x3+4104*y3*x1-580*sqrt(3)*y3*x0+580*sqrt(3)*y0*x3+1368*sqrt(3)*y2*x1-1368*sqrt(3)*y1*x2+191878*x3*x2*sqrt(3)+12*y2^2+12*y3^2+12*y0^2+12*y1^2, -1740*y2*x0+1740*y0*x2+4104*y1*x3-4104*y3*x1-580*sqrt(3)*y3*x0+580*sqrt(3)*y0*x3+1368*sqrt(3)*y2*x1-1368*sqrt(3)*y1*x2-191878*x3*x2*sqrt(3)-6656903*x0^2-6273147*x1^2-6560964*x2^2-6369086*x3^2+12*y2^2+12*y3^2+12*y0^2+12*y1^2, 1160*sqrt(3)*y3*x0-1160*sqrt(3)*y0*x3-2736*sqrt(3)*y2*x1+2736*sqrt(3)*y1*x2-7282367*x0^2-6898611*x1^2-6898611*x2^2-7282367*x3^2+12*y0^2+12*y1^2+12*y2^2+12*y3^2, k*(x0^2+x1^2+x2^2+x3^2)-1];

## Bug in Maple 9 plot?...

Has anyone encountered a bug (or bugs) in Maple 9's plot functionality? I am using Maple 9 (probably need to upgrade!) and getting odd plots.

For example, I have a procedure called T_opt(x,y,z) that fines the optimal T given parameters (x,y,z), and I have checked the values for X_opt directly. For instance, below we see that T_opt is decreasing in x:

> T_opt(0.2,0,0.5);
0.917116057083333324
> T_opt(0.3,0,0.5);
0.854603175416666638
> T_opt(0.4,0,0.5);
0.812654453124999954

But when I plot T_opt as follows:

> plot([T_opt(x,0,0.5),T_opt(0.4,0,0.5)],x=0..0.5);

the plot shows T_opt increasing in x! Basically, totally wrong values for T_opt are shown in the plot, i.e. not the values above!!

See attached plot.

Note, I have also seen some similar bugginess when using plot3d. Is anyone aware of this problem? Or am I plotting T_opt incorrectly somehow? Thanks. ﻿