Maple 14 Questions and Posts

These are Posts and Questions associated with the product, Maple 14

I tried to carry out an advanced plotting task and I am not even sure, if Maple is able to do that.

In a Cartesian coordinate system with axis x=1..100 and y=0..1, I wanted to plot three graphs at once and have the parameters n, p and rho to be interactive.

Here are the graphs:

(1) y=1-exp(-rho*x);  #depending on x and rho

(2) y=-(1-p)^n+(p/(1-p)+1)^n*(1-p)^n+(1-p)^(n-1)*((exp(rho)*(-1+p)-p)*((exp(rho)*(-1+p)-p)/(exp(rho)*(-1+p)))^(n-1)-exp(rho...

Maple14 has an "explore" option by right-ckliking on an expression.

I did so with the following one:

-(1-p)^n+(p/(1-p)+1)^n*(1-p)^n+(1-p)^(n-1)*((exp(rho)*(-1+p)-p)*((exp(rho)*(-1+p)-p)/(exp(rho)*(-1+p)))^(n-1)-exp(rho)*(-1+p))/exp(rho)

and wanted to determine the frequency of the intermediate steps for the parameters.

E.g. p ranges...

I use the interactive plot builder (at least Maple14) and want to define a parameter to be an integer.

How do I carry this into execution?

The following commands:

with(Statistics):

DensityPlot(Binomial(100,0.5)); #with parameters n=100 and p=0.5

create a density plot of a binomial distributed random variable.

Now I want to create that plot, but have dials for the parameters n and p to interact with the plot through those dials.

How may I accomplish that?

Is it possible to change the font size of the Maple output?

And if yes, how?

When I simplify the following two (to my mind identical) expressions, I get different outputs. But why?

s1:=exp(ln(((mu)^(2))/(sqrt(((sigma^(2)))+(mu)^(2))))+(1-phi)*ln((sqrt((((sigma^(2))))+((mu)^(2))))/(mu)));

simplify(s1);

and now just replacing sigma^2 by sigma2 gives:

s2:=exp(ln(((mu)^(2))/(sqrt(((sigma2)))+(mu)^(2))))+(1-phi)*ln((sqrt((((sigma2))))+((mu)^(2))))/(mu)));

simplify(s2);

I tried to solve the following nonlinear equation system:

with(Statistics):

Y9 := RandomVariable(LogNormal(a, b)):

solve({mu=Mean(Y9),(sigma)^(2)=Variance(Y9)},{a,b}, UseAssumptions) assuming a::real, mu::real, sigma>0, b>0;

 

The problem is that the conditions, which discriminate between the cases of the piecewise solution are puzzling, not to say impossible to meet.

E.g. at the end of the first row it says:

Points and lines, and the relationships between them, are essential ingredients of so many problems in, for example, calculus. In particular, obtaining the equation of the perpendicular bisector of a line segment, dropping a perpendicular from a point to a given line, and calculating the distance from a point to a line are three tasks treated in elementary analytic geometry that recur in the applications....

I spend much of my time traveling for business. These trips often last a week, and we try to visit as many potential customers as possible, and in the most efficient order. This involves matching our hosts' calendars with our own, booking the most cost effective travel options, and coping with last-minute cancellations and changes. It isn’t easy!

This has become so much easier with the advent of shareable calendars and mapping services, like Google Maps. ...

Back in July of 2005, one of the early Tips & Techniques articles (since updated) in the Maple Reporter was a comparison of two different approaches to fitting a circle to 3D data points. The impetus for the comparison was Carl Cowen's article on the subject. His approach was algebraic - he used the singular value decomposition to obtain a basis for the...

Our previous article described the design of fast algorithms for multiplying and dividing sparse polynomials. We have integrated these algorithms into the expand and divide commands of Maple 14. In this post I want to talk a bit about what you might see when you try Maple 14. Keep in mind that the product isn't released yet and I don't work for Maplesoft, so general disclaimers apply. Nevertheless, one of the first things you may notice is this.

task manager with maple 14

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