algebra
.
ring
EuclideanRing
Related Docs:
trait EuclideanRing
|
package ring
object
EuclideanRing
extends
EuclideanRingFunctions
with
Serializable
Linear Supertypes
Serializable
,
Serializable
,
EuclideanRingFunctions
,
MultiplicativeMonoidFunctions
,
MultiplicativeSemigroupFunctions
,
AdditiveGroupFunctions
,
AdditiveMonoidFunctions
,
AdditiveSemigroupFunctions
,
AnyRef
,
Any
Ordering
Alphabetic
By inheritance
Inherited
EuclideanRing
Serializable
Serializable
EuclideanRingFunctions
MultiplicativeMonoidFunctions
MultiplicativeSemigroupFunctions
AdditiveGroupFunctions
AdditiveMonoidFunctions
AdditiveSemigroupFunctions
AnyRef
Any
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Visibility
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Value Members
final
def
!=
(
arg0:
Any
)
:
Boolean
Definition Classes
AnyRef → Any
final
def
##
()
:
Int
Definition Classes
AnyRef → Any
final
def
==
(
arg0:
Any
)
:
Boolean
Definition Classes
AnyRef → Any
final
def
apply
[
A
]
(
implicit
ev:
EuclideanRing
[
A
]
)
:
EuclideanRing
[
A
]
Annotations
@inline
()
final
def
asInstanceOf
[
T0
]
:
T0
Definition Classes
Any
def
clone
()
:
AnyRef
Attributes
protected[
java.lang
]
Definition Classes
AnyRef
Annotations
@throws
(
...
)
final
def
eq
(
arg0:
AnyRef
)
:
Boolean
Definition Classes
AnyRef
def
equals
(
arg0:
Any
)
:
Boolean
Definition Classes
AnyRef → Any
def
finalize
()
:
Unit
Attributes
protected[
java.lang
]
Definition Classes
AnyRef
Annotations
@throws
(
classOf[java.lang.Throwable]
)
final
def
getClass
()
:
Class
[_]
Definition Classes
AnyRef → Any
def
hashCode
()
:
Int
Definition Classes
AnyRef → Any
def
isCommutative
[
A
]
(
implicit
ev:
MultiplicativeSemigroup
[
A
]
)
:
Boolean
Definition Classes
MultiplicativeSemigroupFunctions
def
isCommutative
[
A
]
(
implicit
ev:
AdditiveSemigroup
[
A
]
)
:
Boolean
Definition Classes
AdditiveSemigroupFunctions
final
def
isInstanceOf
[
T0
]
:
Boolean
Definition Classes
Any
def
isOne
[
A
]
(
a:
A
)
(
implicit
ev0:
MultiplicativeMonoid
[
A
]
,
ev1:
Eq
[
A
]
)
:
Boolean
Definition Classes
MultiplicativeMonoidFunctions
def
isZero
[
A
]
(
a:
A
)
(
implicit
ev0:
AdditiveMonoid
[
A
]
,
ev1:
Eq
[
A
]
)
:
Boolean
Definition Classes
AdditiveMonoidFunctions
def
minus
[
A
]
(
x:
A
,
y:
A
)
(
implicit
ev:
AdditiveGroup
[
A
]
)
:
A
Definition Classes
AdditiveGroupFunctions
def
mod
[
A
]
(
x:
A
,
y:
A
)
(
implicit
ev:
EuclideanRing
[
A
]
)
:
A
Definition Classes
EuclideanRingFunctions
final
def
ne
(
arg0:
AnyRef
)
:
Boolean
Definition Classes
AnyRef
def
negate
[
A
]
(
x:
A
)
(
implicit
ev:
AdditiveGroup
[
A
]
)
:
A
Definition Classes
AdditiveGroupFunctions
final
def
notify
()
:
Unit
Definition Classes
AnyRef
final
def
notifyAll
()
:
Unit
Definition Classes
AnyRef
def
one
[
A
]
(
implicit
ev:
MultiplicativeMonoid
[
A
]
)
:
A
Definition Classes
MultiplicativeMonoidFunctions
def
plus
[
A
]
(
x:
A
,
y:
A
)
(
implicit
ev:
AdditiveSemigroup
[
A
]
)
:
A
Definition Classes
AdditiveSemigroupFunctions
def
pow
[
A
]
(
a:
A
,
n:
Int
)
(
implicit
ev:
MultiplicativeSemigroup
[
A
]
)
:
A
Definition Classes
MultiplicativeSemigroupFunctions
def
product
[
A
]
(
as:
TraversableOnce
[
A
]
)
(
implicit
ev:
MultiplicativeMonoid
[
A
]
)
:
A
Definition Classes
MultiplicativeMonoidFunctions
def
quot
[
A
]
(
x:
A
,
y:
A
)
(
implicit
ev:
EuclideanRing
[
A
]
)
:
A
Definition Classes
EuclideanRingFunctions
def
quotmod
[
A
]
(
x:
A
,
y:
A
)
(
implicit
ev:
EuclideanRing
[
A
]
)
: (
A
,
A
)
Definition Classes
EuclideanRingFunctions
def
sum
[
A
]
(
as:
TraversableOnce
[
A
]
)
(
implicit
ev:
AdditiveMonoid
[
A
]
)
:
A
Definition Classes
AdditiveMonoidFunctions
def
sumN
[
A
]
(
a:
A
,
n:
Int
)
(
implicit
ev:
AdditiveSemigroup
[
A
]
)
:
A
Definition Classes
AdditiveSemigroupFunctions
final
def
synchronized
[
T0
]
(
arg0: ⇒
T0
)
:
T0
Definition Classes
AnyRef
def
times
[
A
]
(
x:
A
,
y:
A
)
(
implicit
ev:
MultiplicativeSemigroup
[
A
]
)
:
A
Definition Classes
MultiplicativeSemigroupFunctions
def
toString
()
:
String
Definition Classes
AnyRef → Any
def
tryProduct
[
A
]
(
as:
TraversableOnce
[
A
]
)
(
implicit
ev:
MultiplicativeSemigroup
[
A
]
)
:
Option
[
A
]
Definition Classes
MultiplicativeSemigroupFunctions
def
trySum
[
A
]
(
as:
TraversableOnce
[
A
]
)
(
implicit
ev:
AdditiveSemigroup
[
A
]
)
:
Option
[
A
]
Definition Classes
AdditiveSemigroupFunctions
final
def
wait
()
:
Unit
Definition Classes
AnyRef
Annotations
@throws
(
...
)
final
def
wait
(
arg0:
Long
,
arg1:
Int
)
:
Unit
Definition Classes
AnyRef
Annotations
@throws
(
...
)
final
def
wait
(
arg0:
Long
)
:
Unit
Definition Classes
AnyRef
Annotations
@throws
(
...
)
def
zero
[
A
]
(
implicit
ev:
AdditiveMonoid
[
A
]
)
:
A
Definition Classes
AdditiveMonoidFunctions
Inherited from
Serializable
Inherited from
Serializable
Inherited from
EuclideanRingFunctions
Inherited from
MultiplicativeMonoidFunctions
Inherited from
MultiplicativeSemigroupFunctions
Inherited from
AdditiveGroupFunctions
Inherited from
AdditiveMonoidFunctions
Inherited from
AdditiveSemigroupFunctions
Inherited from
AnyRef
Inherited from
Any
Ungrouped
