Package org.drip.spaces.rxtord
Class NormedRdToNormedRd
java.lang.Object
org.drip.spaces.rxtord.NormedRxToNormedRd
org.drip.spaces.rxtord.NormedRdToNormedRd
- Direct Known Subclasses:
NormedRdCombinatorialToRdContinuous
,NormedRdContinuousToRdContinuous
public abstract class NormedRdToNormedRd extends NormedRxToNormedRd
NormedRdToNormedRd is the Abstract Class underlying the f : Validated Normed Rd To
Validated Normed Rd Function 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
- Module = Computational Core Module
- Library = Statistical Learning Library
- Project = R1 and Rd Vector/Tensor Spaces (Validated and/or Normed), and Function Classes
- Package = Rx To Rd Normed Function Spaces
- Author:
- Lakshmi Krishnamurthy
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Method Summary
Modifier and Type Method Description RdToRd
function()
Retrieve the Underlying RdToRd FunctionRdNormed
inputMetricVectorSpace()
Retrieve the Input Metric Vector SpaceRdNormed
outputMetricVectorSpace()
Retrieve the Output Metric Vector Spacedouble[]
populationESS()
Retrieve the Population ESS (Essential Spectrum) Arraydouble[]
populationRdESS()
Retrieve the Population R^d ESS (Essential Spectrum) Arraydouble[]
populationRdSupremumNorm()
Retrieve the Population R^d Supremum Normdouble[]
populationSupremumNorm()
Retrieve the Population Supremum Norm Arraydouble[]
sampleMetricNorm(GeneralizedValidatedVector gvvi)
Retrieve the Sample Metric Norm Arraydouble[]
sampleSupremumNorm(GeneralizedValidatedVector gvvi)
Retrieve the Sample Supremum Norm ArrayMethods inherited from class org.drip.spaces.rxtord.NormedRxToNormedRd
populationCoveringNumber, populationMetricNorm, populationSupremumCoveringNumber, sampleCoveringNumber, sampleSupremumCoveringNumber
Methods inherited from class java.lang.Object
equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
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Method Details
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function
Retrieve the Underlying RdToRd Function- Returns:
- The Underlying RdToRd Function
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populationRdESS
public double[] populationRdESS()Retrieve the Population R^d ESS (Essential Spectrum) Array- Returns:
- The Population R^d ESS (Essential Spectrum) Array
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populationRdSupremumNorm
public double[] populationRdSupremumNorm()Retrieve the Population R^d Supremum Norm- Returns:
- The Population R^d Supremum Norm
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inputMetricVectorSpace
Description copied from class:NormedRxToNormedRd
Retrieve the Input Metric Vector Space- Specified by:
inputMetricVectorSpace
in classNormedRxToNormedRd
- Returns:
- The Input Metric Vector Space
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outputMetricVectorSpace
Description copied from class:NormedRxToNormedRd
Retrieve the Output Metric Vector Space- Specified by:
outputMetricVectorSpace
in classNormedRxToNormedRd
- Returns:
- The Output Metric Vector Space
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sampleSupremumNorm
Description copied from class:NormedRxToNormedRd
Retrieve the Sample Supremum Norm Array- Specified by:
sampleSupremumNorm
in classNormedRxToNormedRd
- Parameters:
gvvi
- The Validated Vector Space Instance- Returns:
- The Sample Supremum Norm Array
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sampleMetricNorm
Description copied from class:NormedRxToNormedRd
Retrieve the Sample Metric Norm Array- Specified by:
sampleMetricNorm
in classNormedRxToNormedRd
- Parameters:
gvvi
- The Validated Vector Space Instance- Returns:
- The Sample Metric Norm Array
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populationESS
public double[] populationESS()Description copied from class:NormedRxToNormedRd
Retrieve the Population ESS (Essential Spectrum) Array- Specified by:
populationESS
in classNormedRxToNormedRd
- Returns:
- The Population ESS (Essential Spectrum) Array
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populationSupremumNorm
public double[] populationSupremumNorm()Description copied from class:NormedRxToNormedRd
Retrieve the Population Supremum Norm Array- Overrides:
populationSupremumNorm
in classNormedRxToNormedRd
- Returns:
- The Population Supremum Norm Array
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