9 years, 42 days

## Social Networks and Content at Maplesoft.com

Seldom to ask question after retired math hobby Just waiting for beauty who born in 1994 And waited for her email to mavio@protonmail.com What is the difference in ownership among different universe?

## How to calculate this Groebner basis for...

Maple
`when calculate the intersection of I2 and J2, i exactly follow this picturehttps://skydrive.live.com/redir?resid=E0ED7271C68BE47C!311however, it is G list which is not the stated in this picturerestart;with(Groebner):I2 := {x^2+y^3-1, x-y*x+3};J2 := {y*x^2-1};G1 := Basis({expand(w*I2[1]),expand(w*I2[2]), expand((1-w)*J2[1])}, 'tord', deglex(x,y));G2 := Basis({expand(w*I2[1]),expand(w*I2[2]), expand((1-w)*J2[1])}, 'tord', deglex(w,x,y));`

## How to not further convert to list when ...

Maple

the goal is write a for loop to iterate and get the power of a variable with degree function

i use nops and convert(F, list) can access each terms and variables

however y^2 can be convert to list [y,2]

hope to add if condition to stop convert this.

how to do better?

i just guess...

## how to calculate the kernel of polynomia...

Maple
`r-x^4u-(x^3)*yv-x*y^3w-y^4Step 1with(Groebner):K := {r-x^4,u-(x^3)*y,v-x*y^3,w-y^4};G := Basis(K, 'tord', degrevlex(r,u,v,w));Step 2G intersect k[r,u,v,w]G2 := Basis({w*G[1],w*G[2],w*G[3],w*G[4],w*G[5],w*G[6],w*G[7],w*G[8],w*G[9],w*G[10],w*G[11],w*G[12],w*G[13],w*G[14], (1-w)*K[1], (1-w)*K[2], (1-w)*K[3], (1-w)*K[4]}, 'tord', degrevlex(r,u,v,w));G2 has too much though include the correct solutioncorrect solution...`

## how to solve without free variable t...

Maple
`g1 := x^2-w*y;g2 := x*y-w*z;g3 := y^2-x*z;S12 := SPolynomial(g1, g2, plex(x, y, z, w));eq1:= S12 = u1*g1 + u2*g2 + u3*g3;with(LinearAlgebra):T:=GenerateMatrix([eq1],[u1,u2, u3],augmented);S:=LinearSolve(T,free=t);(u1,u2,u3) should be (0,0,-w);`
` `
`the goal is find a u1,u2,u3 to make eq1 equal S12, where u1,u2,u3 should be in terms of x y z w`

## Which command can output lead power of p...

Maple
`g3 := y^2-x*z;X3 := LeadingPowerOfProduct(g3, plex(x,y,z,w));X3 should be y^2`
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