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# UnitAlgebra 

#### class UnitAlgebra extends BoundedSemilattice[Unit] with CommutativeGroup[Unit]

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Inherited
1. UnitAlgebra
2. CommutativeGroup
3. Group
4. BoundedSemilattice
5. CommutativeMonoid
6. Monoid
7. Semilattice
8. CommutativeSemigroup
9. Band
10. Semigroup
11. Serializable
12. Serializable
13. AnyRef
14. Any
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Visibility
1. Public
2. All

### Instance Constructors

1. new UnitAlgebra()

### Value Members

1. final def !=(arg0: Any)
Definition Classes
AnyRef → Any
2. final def ##(): Int
Definition Classes
AnyRef → Any
3. final def ==(arg0: Any)
Definition Classes
AnyRef → Any
4. final def asInstanceOf[T0]: T0
Definition Classes
Any
5. def asJoinPartialOrder(implicit ev: Eq[Unit])

Given Eq[A], return a PartialOrder[A] using the `combine` operator to determine the partial ordering.

Given Eq[A], return a PartialOrder[A] using the `combine` operator to determine the partial ordering. This method assumes `combine` functions as `join` (that is, as an upper bound).

This method returns:

0.0 if x = y -1.0 if y = combine(x, y) 1.0 if x = combine(x, y) NaN otherwise

Definition Classes
Semilattice
6. def asMeetPartialOrder(implicit ev: Eq[Unit])

Given Eq[A], return a PartialOrder[A] using the `combine` operator to determine the partial ordering.

Given Eq[A], return a PartialOrder[A] using the `combine` operator to determine the partial ordering. This method assumes `combine` functions as `meet` (that is, as a lower bound).

This method returns:

0.0 if x = y -1.0 if x = combine(x, y) 1.0 if y = combine(x, y) NaN otherwise

Definition Classes
Semilattice
7. def clone()
Attributes
protected[lang]
Definition Classes
AnyRef
Annotations
@throws( ... ) @native() @IntrinsicCandidate()
8. def combine(x: Unit, y: Unit): Unit

Associative operation which combines two values.

Associative operation which combines two values.

Example:

```scala> import cats.kernel.instances.string._
scala> import cats.kernel.instances.int._
scala> import cats.kernel.instances.option._

scala> Semigroup[String].combine("Hello ", "World!")
res0: String = Hello World!

scala> Semigroup[Option[Int]].combine(None, Some(1))
res1: Option[Int] = Some(1)```
Definition Classes
UnitAlgebraSemigroup
9. def combineAll(as: IterableOnce[Unit]): Unit

Given a sequence of `as`, sum them using the monoid and return the total.

Given a sequence of `as`, sum them using the monoid and return the total.

Example:

```scala> import cats.kernel.instances.string._

scala> Monoid[String].combineAll(List("One ", "Two ", "Three"))
res0: String = One Two Three

scala> Monoid[String].combineAll(List.empty)
res1: String = ""```
Definition Classes
Monoid
10. def combineAllOption(as: IterableOnce[Unit]): Option[Unit]

Given a sequence of `as`, combine them and return the total.

Given a sequence of `as`, combine them and return the total.

If the sequence is empty, returns None. Otherwise, returns Some(total).

Example:

```scala> import cats.kernel.instances.string._

scala> Semigroup[String].combineAllOption(List("One ", "Two ", "Three"))
res0: Option[String] = Some(One Two Three)

scala> Semigroup[String].combineAllOption(List.empty)
res1: Option[String] = None```
Definition Classes
UnitAlgebraMonoidSemigroup
11. def combineN(a: Unit, n: Int): Unit

Return `a` appended to itself `n` times.

Return `a` appended to itself `n` times. If `n` is negative, then this returns `inverse(a)` appended to itself `n` times.

Definition Classes
GroupMonoidSemigroup
12. def empty: Unit

Return the identity element for this monoid.

Return the identity element for this monoid.

Example:

```scala> import cats.kernel.instances.int._
scala> import cats.kernel.instances.string._

scala> Monoid[String].empty
res0: String = ""

scala> Monoid[Int].empty
res1: Int = 0```
Definition Classes
UnitAlgebraMonoid
13. final def eq(arg0: AnyRef)
Definition Classes
AnyRef
14. def equals(arg0: Any)
Definition Classes
AnyRef → Any
15. final def getClass(): Class[_]
Definition Classes
AnyRef → Any
Annotations
@native() @IntrinsicCandidate()
16. def hashCode(): Int
Definition Classes
AnyRef → Any
Annotations
@native() @IntrinsicCandidate()
17. def intercalate(middle: Unit)

Between each pair of elements insert middle This name matches the term used in Foldable and Reducible and a similar Haskell function.

Between each pair of elements insert middle This name matches the term used in Foldable and Reducible and a similar Haskell function.

Definition Classes
CommutativeSemigroupSemigroup
18. def inverse(x: Unit): Unit

Find the inverse of `a`.

Find the inverse of `a`.

`combine(a, inverse(a))` = `combine(inverse(a), a)` = `empty`.

Example:

```scala> import cats.kernel.instances.int._

scala> Group[Int].inverse(5)
res0: Int = -5```
Definition Classes
UnitAlgebraGroup
19. def isEmpty(a: Unit)(implicit ev: Eq[Unit])

Tests if `a` is the identity.

Tests if `a` is the identity.

Example:

```scala> import cats.kernel.instances.string._

scala> Monoid[String].isEmpty("")
res0: Boolean = true

scala> Monoid[String].isEmpty("something")
res1: Boolean = false```
Definition Classes
Monoid
20. final def isInstanceOf[T0]
Definition Classes
Any
21. final def ne(arg0: AnyRef)
Definition Classes
AnyRef
22. final def notify(): Unit
Definition Classes
AnyRef
Annotations
@native() @IntrinsicCandidate()
23. final def notifyAll(): Unit
Definition Classes
AnyRef
Annotations
@native() @IntrinsicCandidate()
24. def remove(x: Unit, y: Unit): Unit

Remove the element `b` from `a`.

Remove the element `b` from `a`.

Equivalent to `combine(a, inverse(b))`

Example:

```scala> import cats.kernel.instances.int._

scala> Group[Int].remove(5, 2)
res0: Int = 3```
Definition Classes
UnitAlgebraGroup
25. def repeatedCombineN(a: Unit, n: Int): Unit

Return `a` combined with itself more than once.

Return `a` combined with itself more than once.

Attributes
protected[this]
Definition Classes
UnitAlgebraBandSemigroup
26. def reverse

return a semigroup that reverses the order so combine(a, b) == reverse.combine(b, a)

return a semigroup that reverses the order so combine(a, b) == reverse.combine(b, a)

Definition Classes
CommutativeMonoidCommutativeSemigroupMonoidSemigroup
27. final def synchronized[T0](arg0: ⇒ T0): T0
Definition Classes
AnyRef
28. def toString(): String
Definition Classes
AnyRef → Any
29. final def wait(arg0: Long, arg1: Int): Unit
Definition Classes
AnyRef
Annotations
@throws( ... )
30. final def wait(arg0: Long): Unit
Definition Classes
AnyRef
Annotations
@throws( ... ) @native()
31. final def wait(): Unit
Definition Classes
AnyRef
Annotations
@throws( ... )

### Deprecated Value Members

1. def finalize(): Unit
Attributes
protected[lang]
Definition Classes
AnyRef
Annotations
@throws( classOf[java.lang.Throwable] ) @Deprecated
Deprecated