OrderlyDifferentialVariable SΒΆ

dpolcat.spad line 112 [edit on github]

OrderlyDifferentialVariable adds a commonly used orderly ranking to the set of derivatives of an ordered list of differential indeterminates. An orderly ranking is a ranking < of the derivatives with the property that for two derivatives u and v, u < v if the order of u is less than that of v. This domain belongs to DifferentialVariableCategory. It defines weight to be just order, and it defines an orderly ranking < on derivatives u via the lexicographic order on the pair (order(u), variable(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

hash: % -> SingleInteger

from SetCategory

hashUpdate!: (HashState, %) -> HashState

from SetCategory

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