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diffalg[delta_leader] - return the difference between the derivation operators of the leaders of two differential polynomials

Calling Sequence

delta_leader (p, q, R)

Parameters

p, q

-

differential polynomials

R

-

differential polynomial ring

Description

• 

Important: The diffalg package has been deprecated. Use the superseding package DifferentialAlgebra instead.

• 

Let fp and fq denote the leaders of p and q. The function delta_leader returns a sequence, if it exists, of derivations s such that fp = differentiate (fq, s, R).

• 

The function returns FAIL if p or q belongs to the ground field of R or if fp and fq are derivatives of different differential indeterminates.

• 

The command with(diffalg,delta_leader) allows the use of the abbreviated form of this command.

Examples

Important: The diffalg package has been deprecated. Use the superseding package DifferentialAlgebra instead.

withdiffalg:

R:=differential_ringderivations=x,y,ranking=u

R:=PDE_ring

(1)

p:=ux,x,y24u[]

p:=ux,x,y24u[]

(2)

q:=ux

q:=ux

(3)

delta_leaderp,q,R

x,y

(4)

See Also

diffalg(deprecated), diffalg(deprecated)/differential_ring, diffalg(deprecated)[differentiate], diffalg(deprecated)[leader], DifferentialAlgebra[Tools][FactorDerivative], DifferentialAlgebra[Tools][LeadingDerivative]


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