Interface MetricSpace<T>

All Superinterfaces:

Set<T>, TopologicalSpace<T>

All Known Subinterfaces:

SpacetimeMetric

All Known Implementing Classes:

KerrMetric, Point2D, Point3D, PointND, SchwarzschildMetric, Vector2D, Vector3D, Vector4D, VectorND

public interface MetricSpace<T>
extends TopologicalSpace<T>

Represents a metric space.

A metric space is a topological space equipped with a distance function (metric) that satisfies the metric axioms.

*

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)

Method Summary

Modifier and Type	Method	Description
Real	distance(T a, T b)	Computes the distance between two points.

Methods inherited from interface Set

contains, description, isEmpty

Methods inherited from interface TopologicalSpace

containsPoint, isClosed, isOpen

Method Details

distance

Real distance(T a,
 T b)

Computes the distance between two points.

Parameters:

a - the first point

b - the second point

Returns:

the distance between a and b