Reals

Denotes the set of all real numbers in mathematical notation, representing the complete number line including both rational and irrational numbers.

Overview

Essential in mathematical writing across numerous fields, particularly in analysis, algebra, and applied mathematics. This fundamental symbol appears whenever working with continuous quantities or discussing number systems.

Used in domain and range specifications for functions
Common in constraint definitions and theorem statements
Appears frequently in topology and measure theory
Critical for describing intervals and mathematical properties on the real line

Examples

Denoting the set of real numbers in a function domain.

f: \Reals \to \Reals

f: \Reals \to \Reals

Specifying a real-valued matrix.

A \in \Reals^{n \times n}

A \in \Reals^{n \times n}

Defining a real vector space.

V = \Reals^3

V = \Reals^3