Class ManhattanMetric

java.lang.Object

org.episteme.core.mathematics.topology.metrics.ManhattanMetric

All Implemented Interfaces:

Metric<Vector<Real>>

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

Manhattan metric (L1 norm, taxicab metric).

d(x,y) = Σ|xi - yi|

*

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
ManhattanMetric()

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

ManhattanMetric

public ManhattanMetric()

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)