PositiveIntegerΒΆ

integer.spad line 232

PositiveInteger provides functions for positive integers.

1: %
from MagmaWithUnit
*: (%, %) -> %
from Magma
*: (PositiveInteger, %) -> %
from AbelianSemiGroup
+: (%, %) -> %
from AbelianSemiGroup
<: (%, %) -> Boolean
from PartialOrder
<=: (%, %) -> Boolean
from PartialOrder
=: (%, %) -> Boolean
from BasicType
>: (%, %) -> Boolean
from PartialOrder
>=: (%, %) -> Boolean
from PartialOrder
^: (%, NonNegativeInteger) -> %
from MagmaWithUnit
^: (%, PositiveInteger) -> %
from Magma
~=: (%, %) -> Boolean
from BasicType
coerce: % -> OutputForm
from CoercibleTo OutputForm
convert: % -> InputForm
from ConvertibleTo InputForm
gcd: (%, %) -> %
gcd(a, b) computes the greatest common divisor of two positive integers a and b.
hash: % -> SingleInteger
from SetCategory
hashUpdate!: (HashState, %) -> HashState
from SetCategory
latex: % -> String
from SetCategory
leftPower: (%, NonNegativeInteger) -> %
from MagmaWithUnit
leftPower: (%, PositiveInteger) -> %
from Magma
leftRecip: % -> Union(%, failed)
from MagmaWithUnit
max: (%, %) -> %
from OrderedSet
min: (%, %) -> %
from OrderedSet
one?: % -> Boolean
from MagmaWithUnit
qcoerce: Integer -> %
qcoerce(n) coerces n to \% trusting that n is positive
recip: % -> Union(%, failed)
from MagmaWithUnit
rightPower: (%, NonNegativeInteger) -> %
from MagmaWithUnit
rightPower: (%, PositiveInteger) -> %
from Magma
rightRecip: % -> Union(%, failed)
from MagmaWithUnit
sample: %
from MagmaWithUnit
smaller?: (%, %) -> Boolean
from Comparable

AbelianSemiGroup

BasicType

CoercibleTo OutputForm

CommutativeStar

Comparable

ConvertibleTo InputForm

Magma

MagmaWithUnit

Monoid

OrderedAbelianSemiGroup

OrderedSet

PartialOrder

SemiGroup

SetCategory