differentiates a differential rational fraction
Differentiate(p, theta, R, opts)
Differentiate(L, theta, R, opts)
Differentiate(ideal, theta, opts)
a differential rational fraction
a list or a set of differential polynomials or rational fractions
a sequence of derivation operators
a differential polynomial ring or ideal
a differential ideal
a sequence of options
The opts arguments may contain one or more of the options below.
fullset = boolean. In the case of the function call Differentiate(ideal,theta), applies the function also over the differential polynomials which state that the derivatives of the parameters are zero. Default value is false.
notation = jet, tjet, diff or Diff. Specifies the notation used for the result of the function call. If not specified, the notation of p is used.
memout = nonnegative. Specifies a memory limit, in MB, for the computation. Default is zero (no memory out).
The function call Differentiate(p, theta, R) returns the derivative of p with respect to theta. The parameter p is regarded as a differential polynomial or a differential rational fraction of R, or of its embedding ring if R is an ideal.
The parameter theta is a possibly empty sequence of differential operators. See DifferentialAlgebra for more details.
The function call Differentiate(L, theta, R) returns the list or the set of the derivatives of the elements of L with respect to theta.
If ideal is a regular differential chain, the function call Differentiate(ideal, theta) returns the list of the derivatives of the chain elements. If ideal is a list of regular differential chains, the function call returns a list of lists of derivatives.
This command is part of the DifferentialAlgebra:-Tools package. It can be called using the form Differentiate(...) after executing the command with(DifferentialAlgebra:-Tools). It can also be directly called using the form DifferentialAlgebra[Tools][Differentiate](...).
R ≔ DifferentialRing⁡derivations=t,blocks=u
R ≔ differential_ring
No differential operator is provided. The function acts as the identity.
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