SequentialDifferentialVariable SΒΆ

dpolcat.spad line 142 [edit on github]

OrderlyDifferentialVariable adds a commonly used sequential ranking to the set of derivatives of an ordered list of differential indeterminates. A sequential ranking is a ranking < of the derivatives with the property that for any derivative v, there are only a finite number of derivatives u with u < v. This domain belongs to DifferentialVariableCategory. It defines weight to be just order, and it defines a sequential ranking < on derivatives u by the lexicographic order on the pair (variable(u), order(u)).

<=: (%, %) -> Boolean

from PartialOrder

<: (%, %) -> Boolean

from PartialOrder

=: (%, %) -> Boolean

from BasicType

>=: (%, %) -> Boolean

from PartialOrder

>: (%, %) -> Boolean

from PartialOrder

~=: (%, %) -> Boolean

from BasicType

coerce: % -> OutputForm

from CoercibleTo OutputForm

coerce: S -> %

from DifferentialVariableCategory S

differentiate: % -> %

from DifferentialVariableCategory S

differentiate: (%, NonNegativeInteger) -> %

from DifferentialVariableCategory S

latex: % -> String

from SetCategory

makeVariable: (S, NonNegativeInteger) -> %

from DifferentialVariableCategory S

max: (%, %) -> %

from OrderedSet

min: (%, %) -> %

from OrderedSet

order: % -> NonNegativeInteger

from DifferentialVariableCategory S

retract: % -> S

from RetractableTo S

retractIfCan: % -> Union(S, failed)

from RetractableTo S

smaller?: (%, %) -> Boolean

from Comparable

variable: % -> S

from DifferentialVariableCategory S

weight: % -> NonNegativeInteger

from DifferentialVariableCategory S

BasicType

CoercibleFrom S

CoercibleTo OutputForm

Comparable

DifferentialVariableCategory S

OrderedSet

PartialOrder

RetractableTo S

SetCategory