Maple 2015 Questions and Posts

These are Posts and Questions associated with the product, Maple 2015

Hello,

On a plot, how do I change the size of the probe info text box ? I cannot read the very small text displayed when the probe info is active. My laptop screen size is only 13 inches.

Thank you

I have a piecewise that exists on a large intervals, say [-5..15], however, I know need the function to represent [1..9].

There are two approaches I know of: using convert(f,pwlist) or using op(n,f), see attachments. PiecewiseTruncate.mw    and  PiecewiseTruncate.pdf

However, these two methods are not elegant enough, I have to reassemble the pieces in the new function.

How to make the solution neat?

Thanks,

I really want to use if condition inside of eval and sum, example as below:

sum(eval(y=x^(j),(if j=1 then x=2 else x=3 fi)),j=1..2)

The reason is: the value of x to be evaluated depends on the value of j which differs inside of the sum (in the context of B-spline functions).

Any lights? Thanks,

I have many integrals which I would like to calculate the value. The one in attachment is the simpliest example.

It shows 'too many level of recursion',

I know that it has something to do with the piecewise, however, it shouldn't, right? Any insights?

evalfandintPerformance.mw

evalfandintPerformance.pdf

When using maximize on a relatively complicated function (see attached Maple file and PDF), it runs extremely slow. No return after 3 minutes.

My hardward: i7 2.3G, 8G DDR3 MEM, 500G SSD.

Maybe someone is interested to try the Maple code if your workstation is more powerful? :)

MaximizePerformance.mw

MaximizePerformance.pdf

I hope to dynamically generate the function name via for loop, see enclosed Maple file and PDF file.

Any lights are appreciated.

CatOrCombineFunctionName.mw

CatOrCombineFunctionName.pdf

I am trying to do fsolve in a range (-7..14), however, it gives no solution.

But when I solve the same equations with solve (after removing all the Imaginary solutions), I get two results, one of them is in the range (-7..14). 

I even expanded the range of fsolve, say (-10..20), but still got no solution...

This is just getting weirder and weirder. Attached kindly find the Maple file, note that the first solve takes about 1 minute (on my laptop: CPU i7 + MEM 8G + SSD).

fsolve_In_Range.mw

I have a program:

Running abb(1,3) gives error: Error, (in abb) illegal use of a formal parameter

Might be a silly question: Is it not allowed? Do I have to define a local variable for b in order to change it?

Dears,

I have a question and I hope someone will be able to answer it.

I would like to create a matrix of functions depending on the number of the line or the arrow. I think the best is to show with a very basic example:

I have the following program

n:=4:

R:=Matrix(1,n):

for i from 1 to n do: R(1,i):=x->i*x:end do:

So, I have a matrix, one row, n columns. At the ith column, I want to have the function f(x)=i*x.

Unfortutanely, with my program, I obtain for example for the first column the function f(x)=11*x. At the second column, I get the same result. It seems that I can define matrices of functions but it is impossible in the definition of the function to use the number of the column. Do you have any idea about how to write a program?

Any help would be very appreciated. 

 

 

I wonder if there is a way to represent each piece of a piecewise function in Maple.

For example, for a piecewise function: f:=x->piecewise(1<=x<=2,c[1]*x+c[2],2<=x<=3,c[3]*x+c[4],3<=x<=4,c[5]*x+c[6]);

I want to have a way to retrieve each piece, e.g.: c[3]*x+c[4], but f(x)[2] doesn't work.

Is it archievable?

Hi,

I'm struggling to solve a problem with the Maple 2015 worksheet interface. I have a very dense 2D plot, with lots of oscillations, that was generated using Maple 2015 on Windows 10. Substantial parts of the plot are missing; it looks like the tips of the oscillations being clipped out. If I load the same worksheet into Maple 18 on Windows 7 then the plot looks fine (i.e. nothing is clipped). I've dug through the options in Maple 2015 and nothing I try seems to fix the problem. Any advice would be greatly appreciated.

Many thanks,
David

 

I need a mathematical system that finds the value of k that gives the z value bigger (for loop inside the slider). Moving the slider would seem  k=0.80621762 that give z: 2517.701824

k.mw


The for Statement calculates this mathematical sequence:

a=100 
b=10  

1)c=a-b  
2)d=c*2-k2; k2=(b*2)  
3)e=d*2-k3;k3=k2*2  
4)f=e*2-k4;k4=k3*2  
30) (...)
z=c+d+e+f+(...)
z=?

The paramiter 2 is k (i have to find the value that give me the maximum of z).

 

I have a list of coefficients each assigned a triple of indices. E.g. CF_{x,y,z}. These indicies are also able to take other values between +-2. E.g. CF_{x+2,y-1,z} or CF_{x,y-2,z+1} as examples. I have a working loop that cycles through the list of these coefficients and I am able to call a particular one by specifying the triple of indicies. This script has been attached:

triple_index_script.mw

I would like to modify this script to have more control over single indexes. As an example, say I want to add up all the coefficients which have z as a subscript (so not z+1,z-2 etc...) and I don't care what the x and y subscripts are; I want to be able to call that sum using the same notation in the script but with a single index. e.g. (using a new example function called RR_MapZ):

RR_MapZ[0]; ## This would return the sum of all coefficients that had z in their subscript

and this would return the sum of all the coefficients which have subscript Z. If I wanted to add up all the coefficients which had index Z+1 I would do:

RR_MapN[1]; ## This would return the sum of all coefficients that had z+1 in their subscript

What would be the most efficient way to do this?

-Yeti

a=100 
b=10  

1)c=a-b  
2)d=c*2-k2; k2=(b*2)  
3)e=d*2-k3;k3=k2*2  
4)f=e*2-k4;k4=k3*2  
30) (...)
z=c+d+e+f+(...)
z=?

I need a for Statement that calculates this mathematical sequence.

Thanks

I am solving a matrix eigenvalue problem, and have found a way to make the matrices very sparse by a set of conditions x=x', y=y' and z=z'. If these are satisfied then the matrix element will be >0. If any one of them is not satisfied, then the matrix element becomes zero; hence a sparse matrix is formed. Mathematically in Maple this can be represented as such:

ME*KroneckerDelta[x,xp]*KroneckerDelta[y,yp]*KroneckerDelta[z,zp];

Where ME represents the matrix element and xp, yp, zp represent the prime notation . I apply this form within a C++ routine which I am extracting the matrices from into Maple where I am looking to modify them to experiment with an extension of the program.

The matrices I read into Maple have had the Kronecker delta functions applied, however Is there a simple way to reverse the effect of the Kronecker delta functions with the Matrix in Maple and return the Matrix equivalent to just ME without the product of kronecker delta functions?

-Yeti

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