I am currently conducting some research using Maple and was wondering if anyone knows whether it is possible to get Maple to identify the non-differentiable points of a function? Also, if I convert a function so that it is piecewise defined how can I extract the separate pieces of the function to work with them individually? Many thanks.

A while back, someone asked me for a good way to plot a Klein Bottle in Maple. I didn't have a good answer at the time, but I recently stumbled upon the following, which does a pretty good job if you don't mind the use of Heaviside in the parameterization.

plot3d(
   [4*(1-1/2*cos(u))*sin(v),
    6*cos(u)*(1+sin(u))+4*(1-1/2*cos(u))*(cos(u)*(1-Heaviside(u-Pi))+Heaviside(u-Pi))*cos(v+Pi*Heaviside(u-Pi)),

hola

I need define a same equation with different parametric settings

gracias

Hi

I want to find the optimum of

G*(.7500000000*B*sqrt((1.-2.*a+a^2)*B^2/(a^2+B^2-2.*B^2*a+B^2*a^2))-.7500000000*B*sqrt((1.-2.*a+a^2)*B^2/(a^2+B^2-2.*B^2*a+B^2*a^2))*a+.7500000000*a*sqrt(a^2/(a^2+B^2-2.*B^2*a+B^2*a^2)))

+

(1-G)*(-6.250000000*10^(-12)*sqrt(a^2/(a^2+B^2-2.*B^2*a+B^2*a^2))*(5.833333333*10^9*B*sqrt((1.-2.*a+a^2)*B^2/(a^2+B^2-2.*B^2*a+B^2*a^2))-7.500000000*10^9)*(4.*a-3.*B*sqrt((1.-2.*a+a^2)*B^2/(a^2+B^2-2.*B^2*a+B^2*a^2))+3.*B*sqrt((1.-2.*a+a^2...

In a previous post, I promised to write about testing the quality of pseudo-random number sequences.  I'll post later about some of the statistical tests often used, but I first wanted to mention a sort of practical test one can do. One of the many things you might want to do with pseudorandomly generated numbers is Monte Carlo integration/simulatation/etc.  As mentioned by acer in this comment, Monte Carlo integration can be shown to work better with some of the pseudorandom number generators (PRNGs) which are considered inferior in a statistical sense.  In this post, we will play with a simple Monte Carlo approximation of π.

I am performing reliability analysis.  I have two types of data:

1.  Suspended data (data that has not failed)

2.  Failed data

I require to calcaulte how many ways the data can fail for example:

1. F1   Time = 10

2. S1  Time = 100

3. F2  Time = 200

4. S2  Time = 250

The number of combinations for this data is 3:

F1, S1, F2, S2

F1, F2, S1, S2

F1, F2, S2, S1

There are two pieces of extended functionality that I quite often want from the Maple Compiler. The first (task A) is to be able to link in and use an arbitrary function from some other external ("3rd party") shared library, within my Compile'd Maple procedure. The second (task B) is to directly call the compiled Maple procedure from within some computational routine in a 3rd party shared library (which I would then access using define_external). This post is about the first of those, task A.

Hello all,

I'm working through an optimization problem, and I'm running into a problem adding constraints on the variables I am trying to optimize. I'll attempt to ask the question in a general sense, but if it's not clear, I'll be more specific.

I have a procedure called EIG that calculates the sum of the squared residuals of a model compared to experimental data by inputting 6 variables. I'm trying to minimize this function by using the Optimization...

If you work with Maple on a daily basis sometimes you come across
things that seem impossible to do. Yesterday I tried to have two colors
in a histogram ie -3..-1 = red and -1..3 =blue but I could not figure
out how to do it...hummm.....any suggestions?

restart:
with(Statistics):
with(plots):

n:=5000:
A:=Sample(RandomVariable(Normal(0,1)),n):

Histogram(A,bincount=100, color=blue);

help_for_maple_quest.docplease give a explain how to work for operations.

 I would like to select the color of the arrow for T,N and B.

Thank you for any suggestions.

Ralph Wallace

restart;
with(VectorCalculus):with(plots):
Display the tangent, principal normal and binormal vectors on a curve.
c:=sqrt(a^2+b^2);
                               ...

Hello all,

I have a little problem with an expression I have to develop in taylor/series.

Here it is:

I want to develop it in "nu", giving that "nu" is a small parameter, and it says that it doesn't exist a series expansion.

But when I can obtain the series expansion of the "sqrt" part only of the expression, which yields:

E.g. I want to modify the Binomial distribution in a way, that k is not the number of successes, but the outcome.

Let's assume each success wins $100, while a failure results in $0.

My thought was to substitute k for k/100, but that produces an error message.

Can anyone tell me, how to implement that in Maple?

Thanks a lot.

Hi,

i use fsolve to find appraxmaite solution. there are some parameter in my equastion wher i do loop in this pramater form 0.. 1000,000,00

i have other problem with "fsolve and digits". when Digits =12;  i cannot find  approx solution using "fsolve"

when i decrease or increase  the digit "Digits:=11 , Digits:=13",  i find the  approx solution using "fsolve".

i donot know what is wrong!!!