Group

abstract def id: A

Return the identity element for this monoid.

abstract def inverse(a: A): A

Return the inverse of a.

abstract def op(x: A, y: A): A

final def !=(arg0: Any): Boolean

final def ##(): Int

final def ==(arg0: Any): Boolean

final def asInstanceOf[T0]: T0

def clone(): AnyRef

final def eq(arg0: AnyRef): Boolean

def equals(arg0: Any): Boolean

def finalize(): Unit

final def getClass(): Class[_]

def hashCode(): Int

final def isInstanceOf[T0]: Boolean

final def ne(arg0: AnyRef): Boolean

final def notify(): Unit

final def notifyAll(): Unit

def opInverse(a: A, b: A): A

Combine a with the inverse of b.

def sum(as: TraversableOnce[A]): A

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

def sumOption(as: TraversableOnce[A]): Option[A]

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

def sumn(a: A, n: Int): A

Return a combined with itself n times.

def sumnAboveOne(a: A, n: Int): A

final def synchronized[T0](arg0: ⇒ T0): T0

def toString(): String

final def wait(): Unit

final def wait(arg0: Long, arg1: Int): Unit

final def wait(arg0: Long): Unit