## 337 Reputation

9 years, 118 days

## Ho do I substitute special variables in ...

Maple

Let us consider the following list:

A := [x[1, 1]*(a*x[1, 1] + E[1, 1]) + x[2, 1]*(a*x[1, 2] + E[1, 2]) + x[3, 1]*(a*x[1, 3] + E[1, 3]), x[1, 2]*(a*x[1, 1] + E[1, 1]) + x[2, 2]*(a*x[1, 2] + E[1, 2]) + x[3, 2]*(a*x[1, 3] + E[1, 3]), x[1, 3]*(a*x[1, 1] + E[1, 1]) + x[2, 3]*(a*x[1, 2] + E[1, 2]) + x[3, 3]*(a*x[1, 3] + E[1, 3]), x[1, 1]*(a*x[2, 1] + E[2, 1]) + x[2, 1]*(a*x[2, 2] + E[2, 2]) + x[3, 1]*(a*x[2, 3] + E[2, 3]), x[1, 2]*(a*x[2, 1] + E[2, 1]) + x[2, 2]*(a*x[2, 2] + E[2, 2]) + x[3, 2]*(a*x[2, 3] + E[2, 3]), x[1, 3]*(a*x[2, 1] + E[2, 1]) + x[2, 3]*(a*x[2, 2] + E[2, 2]) + x[3, 3]*(a*x[2, 3] + E[2, 3]), x[1, 1]*(a*x[3, 1] + E[3, 1]) + x[2, 1]*(a*x[3, 2] + E[3, 2]) + x[3, 1]*(a*x[3, 3] + E[3, 3]), x[1, 2]*(a*x[3, 1] + E[3, 1]) + x[2, 2]*(a*x[3, 2] + E[3, 2]) + x[3, 2]*(a*x[3, 3] + E[3, 3]), x[1, 3]*(a*x[3, 1] + E[3, 1]) + x[2, 3]*(a*x[3, 2] + E[3, 2]) + x[3, 3]*(a*x[3, 3] + E[3, 3])]

I want to subs E[k,k]=1 when there is "a*x[k,k]+E[k,k]" as a part of polynomial in the above list.

Thank you so much in advance

## How decide that two monomials are distin...

Maple

Let m, n be two monomials with parametric coefficients. How to decide that two monomials are distinct in the variables?

For example, if m= (a-1)x^2y and b= (a-b)z^2 (where a,b are parameters and x,y,z are variables) then m and n are distinct. Is there any command?

## How can decide that a product of variabl...

Maple

Dear all,

How can I decide that the product a*n appears on the list [1-a*n*xy, x+y]? I used from the following function but the result is false.

I am looking forward to hearing from you.

Sincerely yours

## How decide that a polynomial set contain...

Maple

Dear ...

Let us consider \$F\$ be a parametric polynomial set. How can decide that \$F\$ contains a constant or parameters, automatically? For example, if \$F=/{a*x^3-1, b*y+x, -1, c/}\$ where \$a, b\$ and \$c\$ are parameters and \$x\$ and \$y\$ are variables then the output of procedure is true since of \$F\$ contains \$c\$ and also \$-1\$ and the outputs for \$G=\{\a*x^3-1, b*y+x, x+y}\$ is false. Is there any command or simple procedure for this conclusion?

I am looking forward to hearing from you

Sincerely yours.

## Is there any Maple command to detect whe...

Maple

Is there any Maple command to detect whether the degree of a polynomial w.r.t. all variables is less or equal 1?

For example, if \$f=ax+by-1\$ when \$x\$ and \$y\$ are variables then the output is true and if \$g=a*x^2+b*y-c\$ then it returns false.

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