Package org.drip.spaces.tensor

Class RdContinuousVector

java.lang.Object

org.drip.spaces.tensor.RdAggregate

org.drip.spaces.tensor.RdContinuousVector

All Implemented Interfaces:

GeneralizedVector, RdGeneralizedVector

Direct Known Subclasses:

RdContinuousBanach

public class RdContinuousVector
extends RdAggregate

RdContinuousVector implements the Normed/non-normed, Bounded/Unbounded Continuous R^d Vector Spaces. The Reference we've used is:

• Carl, B., and I. Stephani (1990): Entropy, Compactness, and the Approximation of Operators Cambridge University Press Cambridge UK

• Construct the RdContinuousVector Instance
• RdContinuousVector Constructor
• Retrieve the Array of the Variate Left Edges
• Retrieve the Array of the Variate Right Edges
• Retrieve the Cardinality of the Vector Space
• Retrieve the Left Edge
• Retrieve the Right Edge
• Retrieve the "Hyper" Volume of the Vector Space

Module	Computational Core Module
Library	Statistical Learning Library
Project	R1 and Rd Vector/Tensor Spaces (Validated and/or Normed), and Function Classes
Package	Rx Continuous/Combinatorial Tensor Spaces

Author:

Lakshmi Krishnamurthy

Constructor Summary

Constructors

Constructor	Description
RdContinuousVector(R1ContinuousVector[] r1ContinuousVectorArray)	RdContinuousVector Constructor

Method Summary

Modifier and Type	Method	Description
Cardinality	cardinality()	Retrieve the Cardinality of the Vector Space
double	hyperVolume()	Retrieve the "Hyper" Volume of the Vector Space
double[]	leftDimensionEdge()	Retrieve the Array of the Variate Left Edges
double	leftEdge()	Retrieve the Left Edge
double[]	rightDimensionEdge()	Retrieve the Array of the Variate Right Edges
double	rightEdge()	Retrieve the Right Edge
static RdContinuousVector	Standard(int dimension)	Construct the RdContinuousVector Instance

Methods inherited from class org.drip.spaces.tensor.RdAggregate

dimension, isPredictorBounded, match, subset, validateInstance, vectorSpaces

Methods inherited from class java.lang.Object

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

Constructor Details

RdContinuousVector

public RdContinuousVector(R1ContinuousVector[] r1ContinuousVectorArray)
                   throws java.lang.Exception

RdContinuousVector Constructor

Parameters:

r1ContinuousVectorArray - Array of the Continuous R¹ Vector Spaces

Throws:

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

Method Details

Standard

public static final RdContinuousVector Standard(int dimension)

Construct the RdContinuousVector Instance

Parameters:

dimension - The Space Dimension

Returns:

The RdContinuousVector Instance

leftDimensionEdge

public double[] leftDimensionEdge()

Retrieve the Array of the Variate Left Edges

Returns:

The Array of the Variate Left Edges

rightDimensionEdge

public double[] rightDimensionEdge()

Retrieve the Array of the Variate Right Edges

Returns:

The Array of the Variate Right Edges

cardinality

public Cardinality cardinality()

Retrieve the Cardinality of the Vector Space

Returns:

Cardinality of the Vector Space

leftEdge

public double leftEdge()

Retrieve the Left Edge

Returns:

The Left Edge

rightEdge

public double rightEdge()

Retrieve the Right Edge

Returns:

The Right Edge

hyperVolume

public double hyperVolume()
                   throws java.lang.Exception

Retrieve the "Hyper" Volume of the Vector Space

Returns:

The "Hyper" Volume of the Vector Space

Throws:

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