Equations - Maple Help

RegularChains

 Equations
 list of equations of the regular chain

 Calling Sequence Equations(rc, R)

Parameters

 rc - regular chain of R R - polynomial ring

Description

 • The command Equations(rc,R) returns the list of the polynomials of rc by decreasing order of main variable.
 • This command is part of the RegularChains package, so it can be used in the form Equations(..) only after executing the command with(RegularChains).  However, it can always be accessed through the long form of the command by using RegularChains[Equations](..).

Examples

 > $\mathrm{with}\left(\mathrm{RegularChains}\right):$$\mathrm{with}\left(\mathrm{ChainTools}\right):$
 > $R≔\mathrm{PolynomialRing}\left(\left[x,y,z\right]\right)$
 ${R}{≔}{\mathrm{polynomial_ring}}$ (1)

In the polynomial ring the variables are ordered as follows: $x>y>z$.

 > $\mathrm{rc}≔\mathrm{Empty}\left(R\right)$
 ${\mathrm{rc}}{≔}{\mathrm{regular_chain}}$ (2)
 > $\mathrm{rc}≔\mathrm{Chain}\left(\left[{z}^{2}+1,{y}^{2}-z,x+y+z\right],\mathrm{rc},R\right)$
 ${\mathrm{rc}}{≔}{\mathrm{regular_chain}}$ (3)
 > $\mathrm{Equations}\left(\mathrm{rc},R\right)$
 $\left[{x}{+}{y}{+}{z}{,}{{y}}^{{2}}{-}{z}{,}{{z}}^{{2}}{+}{1}\right]$ (4)