## simplify cosine expressions...

Why does maple not simplify this expression any further:

-4*cos((1/5)*Pi)*m^3-4*cos((1/5)*Pi)*n^3-4*cos((1/5)*Pi)*p^3-4*cos((1/5)*Pi)*q^3+4*cos((2/5)*Pi)*m^3+4*cos((2/5)*Pi)*n^3+4*cos((2/5)*Pi)*p^3+4*cos((2/5)*Pi)*q^3-10*cos((1/5)*Pi)*p*q^2+10*cos((2/5)*Pi)*m^2*n+12*cos((2/5)*Pi)*m^2*p+12*cos((2/5)*Pi)*m^2*q+12*cos((2/5)*Pi)*m*n^2+10*cos((2/5)*Pi)*m*p^2+12*cos((2/5)*Pi)*m*q^2+12*cos((2/5)*Pi)*n^2*p+10*cos((2/5)*Pi)*n^2*q+12*cos((2/5)*Pi)*n*p^2+12*cos((2/5)*Pi)*n*q^2+12*cos((2/5...

## Slow in eval when substituting numerical values in...

Hi,

Say for a 126 by 18 symbolic matrix, substituting numerical values into the matrix DD1 takes about 10 seconds (using time() );

for a 62 by 16 matrix, take just about 1/5 second.

By when the matrix is about 254 by 20, it take much longer! More than a minute!

I never actually waited how long, but I am wondering if there is something wrong? Am I using the right command?

Say the matrix is DD1 with numpar:=[x=0.3,y=0.2,z=0.98,....]

## "How do i solve this PDE ?...

How do i solve this PDE with initial and boundary condition

1. δθ/δζ = δ^2θ/δy^2

At y=0, δθ/δy=0

At y=1, δθ/δy=-µ

At ζ=0, θ=1

## Decimal Places......

Sorry to bother you again. I want my computations(results) to carry/have more decimal places so that I can choose how many decimal places to show myself. This is because, my result is always displayed in 9 d.p but I want more decimal places to be displayed. Just like the way we change the way maple display matrix in-line with command interface(rtablesize= N), is there a similar way i can do the decimal place thing?

Secondly, how can i suppress the value A amd B from...

## implicitplot3d real and imaginary part...

How do I plot the imaginary or real part of a complex valued function

e.g.

E:=y^2+x^2=1

I tried:

E1:=eval(E,{y=y1+I*y2,x=x1+I*x2})

implicitplot3d(E1,x1=-3..3,x2=-3..3,y1=-3..3)

but which does not work

## Random Card In Deck - Procedure...

Hi

I want to simulate taking a card from to decks at the same time, and by doing it sufficiently many times, show that the probability is 1-(1/e).

I've implemented this in Python, but i'm new to maple. Here is what I've done so far.

randomDeck:=proc(n::integer)

local deck:= [seq(1..52)];
local randomDeck:=[];

## How to model the MapleSim ground as a hard ground ...

Hi,

I need to model the MapleSim ground as a hard ground. For example when the robot swing leg hits the ground, it should not have negative vertical position. Basically, the robot will move on a surface.

Thanks...

## plotting area between functions...

Hi

In earligere versions of maple (14 and 15) I yoused this code (program) to plot the area between functions, but it does not work in maple 17 (or 16).

integralplot2:=proc(f1,f2,a,b,{[color, colour] := blue,transparency := 0.5,numpoints:=500})

local mingr,maxgr,variable,p,c,n,pts1,pts2,polys,i,xkoor,ytop,ybottom,yvals,plotf1,plotf2;

if evalf(a)<evalf(b) then

## Solve System of 2 variables...

Hello I have the following system of equations and I want to solve for rho1 and z1

E := (1/2)*(1/rho1^2+1/rho1^2)-1/sqrt(z1^2+rho1^2)-1/sqrt((R-z1)^2+rho1^2)-1/sqrt(z1^2+rho1^2)-1/sqrt((R-z1)^2+rho1^2)+1/R+1/sqrt((2*rho1)^2+(R-2*z1)^2);

Er1 := diff(E, rho1);

Ez1 := diff(E, z1);

solve([Er1, Ez1], {z1, rho1});

The system is a function of R.

The solve command spits out Kernel lost after some time. So my question is how can I solve it ?

## Why doesn't the following simple code work with im...

I'm not sure why I get an error in the following simple maple code:

test:=s->fsolve(t^3=s,t);     % Simplified implicit expression for illustration.

test(8);  % (this yields the answer 2 - good)

plot(test(s),s=0..8);

Error, (in fsolve) s is in the equation, and is not solved for

Why do I receive this error?

Same error occurs with:

fdiff(test(s),s=1);

I'm a casual user of Maple...

## What symbol can't be used as a parameter?...

Here's a Maple trivia question: There is a Maple symbol that cannot be used as a procedure parameter. As far as I can tell it is the only one. What is it?

## PNG not listed in plotting devices help for Maple ...

Does anyone know why png is not listed in the help on plot/devices?  The png device exists and works.

Also, are there any other unlisted plot devices?

## sum of complex roots real ?...

I have reason to believe that the expression below is a real number:

(1/6)*(-108+(12*I)*sqrt(1419))^(1/3)+10/(-108+(12*I)*sqrt(1419))^(1/3)+1;

A numerical approximation supports that. How can Maple help here to get a simplified expression?

## Graph X-axis labels...

Hi there,

i would like to know, how can i change the x-axis labels of an graph?

Currently i read data from text file in format like this:

0 10

1 11

2 14

3 15

This values i plot in a graph with this commands:

averagedValues := readdata("mytextfile.txt", [integer, float]);
plot({averagedValues}, x = 0 .. averagedRowCount)

My problem is, that each x value has a date label....

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