diffalg[leader] - return the leader of a differential polynomial
diffalg[rank] - return the rank of a differential polynomial
diffalg[initial] - return the initial of a differential polynomial
diffalg[separant] - return the separant of a differential polynomial
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Calling Sequence
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leader (q, R)
rank (q, R)
initial (q, R)
separant (q, R)
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Parameters
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q
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differential polynomial
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R
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differential polynomial ring
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Description
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The leader of a differential polynomial q is the greatest derivative occurring in q with respect to the ranking of R.
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The rank of q is the leader of q raised to the degree of q with respect to its leader.
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The initial of q is the leading coefficient of q with respect to its leader.
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The separant of q is the partial derivative of q with respect to its leader. It is also the initial of any proper derivative of q.
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If q belongs to the ground field R, then leader, rank, initial and separant return an error message.
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The command with(diffalg,leader) allows the use of the abbreviated form of this command.
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The command with(diffalg,rank) allows the use of the abbreviated form of this command.
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The command with(diffalg,initial) allows the use of the abbreviated form of this command.
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The command with(diffalg,separant) allows the use of the abbreviated form of this command.
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Examples
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Important: The diffalg package has been deprecated. Use the superseding package DifferentialAlgebra instead.
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See Also
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diffalg(deprecated), diffalg(deprecated)/differential_algebra, diffalg(deprecated)/differential_ring, diffalg(deprecated)/field_extension, diffalg(deprecated)[differentiate], DifferentialAlgebra[Tools][Get], DifferentialAlgebra[Tools][Initial], DifferentialAlgebra[Tools][LeadingCoefficient], DifferentialAlgebra[Tools][LeadingDerivative], DifferentialAlgebra[Tools][LeadingRank], DifferentialAlgebra[Tools][Separant]
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