org.drip.spaces.metric

Class R1CombinatorialBall

java.lang.Object

org.drip.spaces.tensor.R1CombinatorialVector

org.drip.spaces.metric.R1Combinatorial

org.drip.spaces.metric.R1CombinatorialBall

All Implemented Interfaces:

GeneralizedMetricVectorSpace, R1Normed, GeneralizedVector, R1GeneralizedVector

public class R1CombinatorialBall
extends R1Combinatorial

R1CombinatorialBall extends the Combinatorial R^1 Banach Space by enforcing the Closed Bounded Metric. 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
R1CombinatorialBall(java.util.List<java.lang.Double> lsElementSpace, R1 distR1, int iPNorm, double dblNormRadius) R1CombinatorialBall Constructor

Method Summary

Modifier and Type	Method and Description
static R1CombinatorialBall	ClosedUnit(java.util.List<java.lang.Double> lsElementSpace, R1 distR1, int iPNorm) Construct a R1CombinatorialBall Instance of Unit Radius
double	normRadius() Retrieve the Radius Norm
boolean	validateInstance(double dblInstance) Validate the Input Instance Ordinate

Methods inherited from class org.drip.spaces.metric.R1Combinatorial

borelMeasureSpaceExpectation, borelSigmaMeasure, pNorm, populationMetricNorm, populationMode, sampleMetricNorm, Standard, Supremum

Methods inherited from class org.drip.spaces.tensor.R1CombinatorialVector

cardinality, elementSpace, hyperVolume, isPredictorBounded, leftEdge, match, rightEdge, subset

Methods inherited from class java.lang.Object

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

Methods inherited from interface org.drip.spaces.tensor.GeneralizedVector

cardinality, hyperVolume, isPredictorBounded, leftEdge, match, rightEdge, subset

Constructor Detail

R1CombinatorialBall

public R1CombinatorialBall(java.util.List<java.lang.Double> lsElementSpace,
                           R1 distR1,
                           int iPNorm,
                           double dblNormRadius)
                    throws java.lang.Exception

R1CombinatorialBall Constructor

Parameters:

lsElementSpace - The List Space of Elements

distR1 - The R^1 Borel Sigma Measure

iPNorm - The p-norm of the Space

dblNormRadius - Radius Norm of the Unit Ball

Throws:

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

Method Detail

ClosedUnit

public static final R1CombinatorialBall ClosedUnit(java.util.List<java.lang.Double> lsElementSpace,
                                                   R1 distR1,
                                                   int iPNorm)

Construct a R1CombinatorialBall Instance of Unit Radius

Parameters:

lsElementSpace - The List Space of Elements

distR1 - The R^1 Borel Sigma Measure

iPNorm - The p-norm of the Space

Returns:

ContinuousRealUnidimensionalBall Instance of Unit Radius

normRadius

public double normRadius()

Retrieve the Radius Norm

Returns:

The Radius Norm

validateInstance

public boolean validateInstance(double dblInstance)

Description copied from interface: R1GeneralizedVector

Validate the Input Instance Ordinate

Specified by:

validateInstance in interface R1GeneralizedVector

Overrides:

validateInstance in class R1CombinatorialVector

Parameters:

dblInstance - The Input Instance Ordinate

Returns:

TRUE - Instance Ordinate is a Valid Entry in the Space