# LengthSpace

### Related Docs: object LengthSpace | package algebra

#### trait LengthSpace[V, R, P] extends MetricSpace[V, R]

http://en.wikipedia.org/wiki/Intrinsic_metric

Annotations
@implicitNotFound( ... )
Linear Supertypes
MetricSpace[V, R], AnyRef, Any
Ordering
1. Alphabetic
2. By Inheritance
Inherited
1. LengthSpace
2. MetricSpace
3. AnyRef
4. Any
1. Hide All
2. Show All
Visibility
1. Public
2. All

### Abstract Value Members

1. #### abstract def distance(v: V, w: V): R

Definition Classes
MetricSpace
2. #### abstract def onPath(left: V, right: V, p: P): V

also known as γ

also known as γ

p is in [0, 1]

3. #### abstract def portion(left: V, v: V, right: V): P

the inverse of onPath

the inverse of onPath

returns a number between 0 and 1 of type P

### Concrete Value Members

1. #### final def !=(arg0: Any): Boolean

Definition Classes
AnyRef → Any
2. #### final def ##(): Int

Definition Classes
AnyRef → Any
3. #### final def ==(arg0: Any): Boolean

Definition Classes
AnyRef → Any
4. #### final def asInstanceOf[T0]: T0

Definition Classes
Any
5. #### def clone(): AnyRef

Attributes
protected[java.lang]
Definition Classes
AnyRef
Annotations
@throws( ... )
6. #### final def eq(arg0: AnyRef): Boolean

Definition Classes
AnyRef
7. #### def equals(arg0: Any): Boolean

Definition Classes
AnyRef → Any
8. #### def finalize(): Unit

Attributes
protected[java.lang]
Definition Classes
AnyRef
Annotations
@throws( classOf[java.lang.Throwable] )
9. #### final def getClass(): Class[_]

Definition Classes
AnyRef → Any
10. #### def hashCode(): Int

Definition Classes
AnyRef → Any
11. #### final def isInstanceOf[T0]: Boolean

Definition Classes
Any
12. #### final def ne(arg0: AnyRef): Boolean

Definition Classes
AnyRef
13. #### final def notify(): Unit

Definition Classes
AnyRef
14. #### final def notifyAll(): Unit

Definition Classes
AnyRef
15. #### final def synchronized[T0](arg0: ⇒ T0): T0

Definition Classes
AnyRef
16. #### def toString(): String

Definition Classes
AnyRef → Any
17. #### final def wait(): Unit

Definition Classes
AnyRef
Annotations
@throws( ... )
18. #### final def wait(arg0: Long, arg1: Int): Unit

Definition Classes
AnyRef
Annotations
@throws( ... )
19. #### final def wait(arg0: Long): Unit

Definition Classes
AnyRef
Annotations
@throws( ... )