9 years, 19 days

## Inverse List !!...

Maple

Let us consider S := [x^2 = A1, x*y = A2, z^2 = A3] as a list. Is there any command to obtain  SS = [A1=x^2 , A2=x*y , A3=z^2] from S?

## Can someone help me for understanding F...

Maple

Hi dears,

I hope that my request (question) is appropriate for Mapleprimes.

I know Gröbner bases and Buchberger's algorithm and I want to understand  the F4-algorithm. However, I know that  the corresponding paper can be found:

https://www.sciencedirect.com/science/article/pii/S0022404999000055

Could you please state the sketch and main parts of the algorithm s.t. I can understand it?
Is there any primary Maple implementation of F4-algorithm?

## Why PolyhedralSets package could not wo...

Maple 18

Hi Dears,

I installed Maple 15 and 18 on my PC. But, when I want to use the PolyhedralSets package the following error is appeared. Is this package only on Maple 2015?

With the bests.

## How can remove the redundant inequalitie...

Maple 15

Hi Dears,

Let us consider the following polyhedral cone which is defined by 8 inequalities (also, x,y,z ≥0):

1. y-z ≥0

2. 3y-2z ≥0

3. 2y-2z ≥0

4. x-2y+z ≥0

5. x-y ≥0

6. 2x-y ≥0

7. x-z ≥0

8. x+y-z ≥0.

How can we deduce that the inequalities 3 and 4 may be define this polyhedral cone and the others are redundant?

How can remove the redundant inequalities for defining this polyhedral cone?

Is there any Maple command or function that recive these 8 inequalities and return inequalities 3 and 4? In fact, inequalities 3 and 4 are facets of this polyhedral cone.

Sincerely yours

## generating random polynomials with param...

Maple

Hi Dears,

I know "randpoly" command of Maple and I need to generate some random polynomials with parametric coefficients. For this I used this command for input set {a,b,c,d,x,y,z,w} which {a,b,c,d} are parameters and {x,y,z,w} are variables. But, the generated polynomials were not interestting. For example, some polynomials such as \$(a-b)xy+(c^2-a)x*y*z-a*b+(d-1)z^2w\$ are interested for me. In fact, difference parametric coefficients is important.