org.drip.spaces.tensor

Class R1ContinuousVector

java.lang.Object

org.drip.spaces.tensor.R1ContinuousVector

All Implemented Interfaces:

GeneralizedVector, R1GeneralizedVector

Direct Known Subclasses:

R1Continuous

public class R1ContinuousVector
extends java.lang.Object
implements R1GeneralizedVector

R1ContinuousVector exposes the Normed/non-normed, Bounded/Unbounded Continuous R^1 Vector Spaces with Real-valued Elements. The Reference we've used is: - Carl, B., and I. Stephani (1990): Entropy, Compactness, and Approximation of Operators, Cambridge University Press, Cambridge UK.

Author:

Lakshmi Krishnamurthy

Constructor Summary

Constructors

Constructor and Description
R1ContinuousVector(double dblLeftEdge, double dblRightEdge) R1ContinuousVector Constructor

Method Summary

Modifier and Type	Method and Description
Cardinality	cardinality() Retrieve the Cardinality of the Vector Space
double	hyperVolume() Retrieve the "Hyper" Volume of the Vector Space
boolean	isPredictorBounded() Indicate if the Predictor Variate Space is bounded from the Left and the Right
double	leftEdge() Retrieve the Left Edge
boolean	match(GeneralizedVector gvOther) Compare against the "Other" Generalized Vector Space
double	rightEdge() Retrieve the Right Edge
static R1ContinuousVector	Standard() Create the Standard R^1 Continuous Vector Space
boolean	subset(GeneralizedVector gvOther) Indicate if the "Other" Generalized Vector Space is a Subset of "this"
boolean	validateInstance(double dblInstance) Validate the Input Instance Ordinate

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

R1ContinuousVector

public R1ContinuousVector(double dblLeftEdge,
                          double dblRightEdge)
                   throws java.lang.Exception

R1ContinuousVector Constructor

Parameters:

dblLeftEdge - The Left Edge

dblRightEdge - The Right Edge

Throws:

java.lang.Exception - Thrown if the Inputs are invalid

Method Detail

Standard

public static final R1ContinuousVector Standard()

Create the Standard R^1 Continuous Vector Space

Returns:

The Standard R^1 Continuous Vector Space

leftEdge

public double leftEdge()

Description copied from interface: GeneralizedVector

Retrieve the Left Edge

Specified by:

leftEdge in interface GeneralizedVector

Returns:

The Left Edge

rightEdge

public double rightEdge()

Description copied from interface: GeneralizedVector

Retrieve the Right Edge

Specified by:

rightEdge in interface GeneralizedVector

Returns:

The Right Edge

validateInstance

public boolean validateInstance(double dblInstance)

Description copied from interface: R1GeneralizedVector

Validate the Input Instance Ordinate

Specified by:

validateInstance in interface R1GeneralizedVector

Parameters:

dblInstance - The Input Instance Ordinate

Returns:

TRUE - Instance Ordinate is a Valid Entry in the Space

cardinality

public Cardinality cardinality()

Description copied from interface: GeneralizedVector

Retrieve the Cardinality of the Vector Space

Specified by:

cardinality in interface GeneralizedVector

Returns:

Cardinality of the Vector Space

match

public boolean match(GeneralizedVector gvOther)

Description copied from interface: GeneralizedVector

Compare against the "Other" Generalized Vector Space

Specified by:

match in interface GeneralizedVector

Parameters:

gvOther - The "Other" Generalized Vector Space

Returns:

TRUE - The "Other" Generalized Vector Space matches this

subset

public boolean subset(GeneralizedVector gvOther)

Description copied from interface: GeneralizedVector

Indicate if the "Other" Generalized Vector Space is a Subset of "this"

Specified by:

subset in interface GeneralizedVector

Parameters:

gvOther - The "Other" Generalized Vector Space

Returns:

TRUE - The "Other" Generalized Vector Space is a Subset of this

isPredictorBounded

public boolean isPredictorBounded()

Description copied from interface: GeneralizedVector

Indicate if the Predictor Variate Space is bounded from the Left and the Right

Specified by:

isPredictorBounded in interface GeneralizedVector

Returns:

The Predictor Variate Space is bounded from the Left and the Right

hyperVolume

public double hyperVolume()
                   throws java.lang.Exception

Description copied from interface: GeneralizedVector

Retrieve the "Hyper" Volume of the Vector Space

Specified by:

hyperVolume in interface GeneralizedVector

Returns:

The "Hyper" Volume of the Vector Space

Throws:

java.lang.Exception - Thrown if the Hyper Volume cannot be computed