DifferentialAlgebra[Tools][Initial] - returns the initial of a differential polynomial
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Calling Sequence
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Initial(ideal, opts)
Initial(p, R, opts)
Initial(L, R, opts)
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Parameters
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ideal
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a differential ideal
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p
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a differential polynomial
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L
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a list or a set of differential polynomials
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R
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a differential polynomial ring or ideal
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opts (optional)
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a sequence of options
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Description
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The function call Initial(p,R) returns the initial of p with respect to the ranking of R, or of its embedding polynomial ring, if R is an ideal. It is assumed that p is non-numeric.
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The function call Initial(L,R) returns the list or the set of the initials of the elements of L with respect to the ranking of R.
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If ideal is a regular differential chain, the function call Initial(ideal) returns the list of the initials of the chain elements. If ideal is a list of regular differential chains, the function call Initial(ideal) returns a list of lists of initials.
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This command is part of the DifferentialAlgebra:-Tools package. It can be called using the form Initial(...) after executing the command with(DifferentialAlgebra:-Tools). It can also be directly called using the form DifferentialAlgebra[Tools][Initial](...).
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Options
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The opts arguments may contain one or more of the options below.
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fullset = boolean. In the case of the function call Initial(ideal), applies the function also over the differential polynomials which state that the derivatives of the parameters are zero. Default value is false.
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notation = jet, tjet, diff or Diff. Specifies the notation used for the result of the function call. If not specified, the notation of the first argument is used.
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memout = nonnegative. Specifies a memory limit, in MB, for the computation. Default is zero (no memory out).
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Examples
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