Interval (mathematics) and Metric space

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Interval (mathematics) and Metric space

Interval (mathematics) vs. Metric space

In mathematics, a (real) interval is a set of real numbers with the property that any number that lies between two numbers in the set is also included in the set. In mathematics, a metric space is a set for which distances between all members of the set are defined.

Absolute difference

The absolute difference of two real numbers x, y is given by |x − y|, the absolute value of their difference.

Absolute difference and Interval (mathematics) · Absolute difference and Metric space · See more »

Ball (mathematics)

In mathematics, a ball is the space bounded by a sphere.

Ball (mathematics) and Interval (mathematics) · Ball (mathematics) and Metric space · See more »

Bounded set

In mathematical analysis and related areas of mathematics, a set is called bounded, if it is, in a certain sense, of finite size.

Bounded set and Interval (mathematics) · Bounded set and Metric space · See more »

Closed set

In geometry, topology, and related branches of mathematics, a closed set is a set whose complement is an open set.

Closed set and Interval (mathematics) · Closed set and Metric space · See more »

Connectedness

In mathematics, connectedness is used to refer to various properties meaning, in some sense, "all one piece".

Connectedness and Interval (mathematics) · Connectedness and Metric space · See more »

Continuous function

In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.

Continuous function and Interval (mathematics) · Continuous function and Metric space · See more »

Diameter

In geometry, a diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle.

Diameter and Interval (mathematics) · Diameter and Metric space · See more »

Extended real number line

In mathematics, the affinely extended real number system is obtained from the real number system by adding two elements: and (read as positive infinity and negative infinity respectively).

Extended real number line and Interval (mathematics) · Extended real number line and Metric space · See more »

Identity element

In mathematics, an identity element or neutral element is a special type of element of a set with respect to a binary operation on that set, which leaves other elements unchanged when combined with them.

Identity element and Interval (mathematics) · Identity element and Metric space · See more »

Lebesgue measure

In measure theory, the Lebesgue measure, named after French mathematician Henri Lebesgue, is the standard way of assigning a measure to subsets of n-dimensional Euclidean space.

Interval (mathematics) and Lebesgue measure · Lebesgue measure and Metric space · See more »

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

Interval (mathematics) and Mathematics · Mathematics and Metric space · See more »

Open set

In topology, an open set is an abstract concept generalizing the idea of an open interval in the real line.

Interval (mathematics) and Open set · Metric space and Open set · See more »

Positive real numbers

In mathematics, the set of positive real numbers, \mathbb_.

Interval (mathematics) and Positive real numbers · Metric space and Positive real numbers · See more »

Rational number

In mathematics, a rational number is any number that can be expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator.

Interval (mathematics) and Rational number · Metric space and Rational number · See more »

Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

Interval (mathematics) and Real number · Metric space and Real number · See more »

Set (mathematics)

In mathematics, a set is a collection of distinct objects, considered as an object in its own right.

Interval (mathematics) and Set (mathematics) · Metric space and Set (mathematics) · See more »