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diffalg

  

derivatives

  

return the derivatives occurring in a differential polynomial

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

derivatives (p, R, code)

Parameters

p

-

differential polynomial in R

R

-

differential polynomial ring

code

-

(optional) name; 'increasingly' or 'decreasingly'

Description

• 

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

• 

The function derivatives returns the set of the derivatives occurring in the differential polynomial p.

• 

If the third parameter is present, the function returns the list of the derivatives, sorted increasingly or decreasingly, with respect to the ranking of R.

• 

The command with(diffalg,derivatives) 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:

Kfield_extensiontranscendental_elements=ut:

Rdifferential_ringfield_of_constants=K,derivations=x,y,ranking=lexu

R:=PDE_ring

(1)

puxut+ux,x+ux,x2+xux,y,y2+1

p:=xux,y,y2+utux+ux,x2+ux,x+1

(2)

derivativesp,R,'increasingly'

ux,ux,y,y,ux,x

(3)

See Also

diffalg(deprecated)

diffalg(deprecated)/differential_ring

diffalg(deprecated)/field_extension

diffalg(deprecated)[greater]

DifferentialAlgebra[Get]

 


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