sliceEquations(Matrix,Ring) -- slicing linear functions

Synopsis

• Function: sliceEquations

• Usage:

  S = sliceEquations(M,R)

  S = projectiveSliceEquations(M,R)

• Inputs:
  • M, a matrix, contains the coefficients of the slicing linear polynomials
  • R, a ring, where the output polynomials belong
• Outputs:
  • S, a list, contains linear polynomials

Description

A service function used in NumericalAlgebraicGeometry.

i1 : R = CC[x,y]	

o1 = R

o1 : PolynomialRing

i2 : sliceEquations(matrix{{1,2,3},{4,5,6*ii}}, R)

o2 = {x + 2y + 3, 4x + 5y + 6*ii}

o2 : List

i3 : projectiveSliceEquations(matrix{{1,2,3},{4,5,6*ii}}, CC[x,y,z])

o3 = {x + 2y + 3z, 4x + 5y + 6*ii*z}

o3 : List