Class ChebyshevMetric

java.lang.Object

org.episteme.core.mathematics.topology.metrics.ChebyshevMetric

All Implemented Interfaces:

Metric<Vector<Real>>

public class ChebyshevMetric
extends Object
implements Metric<Vector<Real>>

Chebyshev metric (L∞ norm, maximum metric).

d(x,y) = max|xáµ¢ - yáµ¢|

Also known as: - L∞ metric - Maximum metric - Supremum metric - Chessboard distance (in 2D)

*

Reference:
Fréchet, M. (1906). Sur quelques points du calcul fonctionnel. Rendiconti del Circolo Matematico di Palermo.

Since:

1.0

Author:

Silvere Martin-Michiellot, Gemini AI (Google DeepMind)

Constructor Summary

Constructors

Constructor	Description
ChebyshevMetric()

Method Summary

Modifier and Type	Method	Description
Real	distance(Vector<Real> a, Vector<Real> b)	Computes the distance between two objects.

Methods inherited from class Object

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

Constructor Details

ChebyshevMetric

public ChebyshevMetric()

Method Details

distance

public Real distance(Vector<Real> a,
 Vector<Real> b)

Description copied from interface: Metric

Computes the distance between two objects.

Specified by:

distance in interface Metric<Vector<Real>>

Parameters:

a - the first object

b - the second object

Returns:

the distance between a and b (always non-negative)