Class MinkowskiMetric

java.lang.Object

org.episteme.core.mathematics.topology.metrics.MinkowskiMetric

All Implemented Interfaces:

Metric<Vector<Real>>

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

Minkowski metric (Lp norm).

d(x,y) = (Σ|xᵢ - yᵢ|ᵖ)^(1/p)

Special cases: - p = 1: Manhattan metric - p = 2: Euclidean metric - p = ∞: Chebyshev metric

*

Reference:
Minkowski, H. (1908). Raum und Zeit. Physikalische Zeitschrift, 10, 104-111.

Since:

1.0

Author:

Silvere Martin-Michiellot, Gemini AI (Google DeepMind)

Constructor Summary

Constructors

Constructor	Description
MinkowskiMetric(double p)	Creates a Minkowski metric with the given p value.
MinkowskiMetric(Real p)	Creates a Minkowski metric with the given p value.

Method Summary

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

Methods inherited from class Object

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

Constructor Details

MinkowskiMetric

public MinkowskiMetric(Real p)

Creates a Minkowski metric with the given p value.

Parameters:

p - the power (must be >= 1)

MinkowskiMetric

public MinkowskiMetric(double p)

Creates a Minkowski metric with the given p value.

Parameters:

p - the power (must be >= 1)

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)

getP

public Real getP()

Returns the p value.

Returns:

the power