## zcoloring in colorscheme...

Hello everyone!

I'm interesting in "zcoloring" funciton in colorscheme option.

I wrote simple programm which compares two results: spectrogram of signal drawn with "colormap" list and spectrogram which was plotted with zcoloring function. I use red, green, blue functions to construct JET-colormap: list and expressions in "zcoloring".

My result:

As I understand, when I use:

`colorscheme = ["zcoloring", [z-> Red color function(z), z-> Green color function(z), z-> Blue color function(z)], colorspace = "RGB"]`

Maple plots z-value with color RGB color coordinates defined from "zcoloring". For example, if "zcoloring" is

`colorscheme = ["zcoloring", [z-> 5*z, z-> 3*z, z-> 2*z], colorspace = "RGB"]`

and z value is 10, then 10 value will correspond [50,30,20]-RGB color.

My test program:

Spectrogram_zcoloring.mw

Spectrogram of my test signal:

list_test.txt

## How to find nonclassical symmetries ...

The routines for finding nonclassical symmetries of PDE, mentioned in the research articles are not currently available. The routines like GENDEFNC may have been changed to other one. Please tell how to find nonclassical symmetries of a PDE or a system of PDE. I am using Maple 2016.

## Solving a system of nonlinear equations...

Hello!

How can I make MAPLE to put out the numerical solution of the following system?
(a =0.12, c = 47.04)  Neither solve nor fsolve does the job!

>restart:
>S:=t->c*exp(-a*t)+18;

S := t -> c*exp(-a*t)+18

> sys:={S(2)=55,S(8)=36};

sys := {c*exp(-8*a)+18 = 36, c*exp(-2*a)+18 = 55}

> solve(sys);

{a = -1/2*ln(18/37*RootOf(18*_Z^3-37)^2), c = 37*RootOf(18*_Z^3-37)}

> fsolve(sys);

fsolve({c*exp(-8*a)+18 = 36, c*exp(-2*a)+18 = 55},{a, c})

## Bug in my Division by Zero Calculator...

Basically it spits out the subset of values for which a division by zero error will occur for the function you specify on  range you specify for each of it's arguments, but I get an ambigous error when ever exponentiation features in the function I specify, which of course dramatically reduces the application of the calculator. Division,addition,substraction and multiplication are currently the only available arithmetic operators availble for the function window that I know the error will not occur.

If some one can help it is much appriciated

DIVISION_BY_ZERO_CALCULATOR.mw

## Simplify command on Binomial expressions...

Is there something I should be doing whenever I use simplify to avoid things like this, or should I stop using the "is" function all together?

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## Exponentiation by Squaring Issue...

My problem is explained with sufficient detail in the below worksheet:

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So I know I have obviously done something wrong, but it has proven very difficult to establish where given how little i know about the solve function

## Document Tools package "Generate Component" comman...

As useful as the SetProperty and GetProperty commands are in this package, I am seeking a command that is called by the action of a user input prompt, for example, the prompt window question is something like:

"How many parameters of silly do you want to specifiy for this analysis? (maximum is 10)"

And once the user has entered a natural number between 1 and 10, that number of components of a specified type is generated  in the worksheet.

Is this a real thing already and I can't find it or is there a round about way to do it without an actual command existing?

## modp has bugs and it's disgusting...

All of his should work very readily

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## Sieving failures...

I recieved the following error:

But when I review the procedure ifactor, it doesnt tell me anything about A Quadratic Sieve algorithm, and it's really long and looks dodgey and suspicious, like line 24 for example, why is it computing the greatest integer divisor of a local variable and a random enormous square free number? and then another with an additional factor a few lines later?

## DocumentTools Component Actions...

I need the final line of the uploaded worksheet to be the "Select Action", preprogrammed prior to the execution of the insert xml command, how do i do this?

Maple Worksheet - Error

## How can I extract DE coefficients to form a system...

Hi,

How can I extract the coefficients of uij in Eq.(3) to form a system of PDEs in F, P and Q?

coeff_of_DE.mw

## Analytical integration bug...

Hi

I use Maple 2016.

The following command calculates semicircle perimeter, but it returns infinity.

`assuming`([int(sqrt(1+(diff(sqrt(R^2-(x-R)^2), x))^2), x = 0 .. 2*R)], [R > 0])

## Sockets package Command entanglement phenomena ...

I was trying to learn more about the commands in this package and found it to be someone non satisfying: