OrderlyDifferentialVariable SΒΆ
dpolcat.spad line 112 [edit on github]
S: OrderedSet
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 PartialOrder
- >: (%, %) -> Boolean
from PartialOrder
- 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