Class EuclideanMetric

java.lang.Object

org.episteme.core.mathematics.topology.metrics.EuclideanMetric

All Implemented Interfaces:

Metric<Vector<Real>>

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

Euclidean metric (L2 norm).

d(x,y) = √(Σ(xi - yi)²)

*

Reference:
Euclid. (c. 300 BC). Elements.

Since:

1.0

Author:

Silvere Martin-Michiellot, Gemini AI (Google DeepMind)

Constructor Summary

Constructors

Constructor	Description
EuclideanMetric()

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

EuclideanMetric

public EuclideanMetric()

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)