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reals

Denotes the set of all real numbers in mathematical notation, commonly used in algebra and analysis.

Overview

Essential in mathematical writing across numerous fields, particularly in analysis, topology, and advanced algebra. This fundamental symbol represents the complete set of numbers that can be expressed on a continuous number line.

  • Frequently used in defining function domains and ranges
  • Common in constraint specifications and theorem statements
  • Appears extensively in mathematical proofs and set theory
  • Critical in describing continuous mathematical spaces and intervals

Examples

Denoting the set of real numbers in a function domain.

f:R→Rf: \reals \to \reals 
f: \reals \to \reals

Specifying a real-valued vector space.

V=RnV = \reals^n 
V = \reals^n

Expressing a real interval in set notation.

(a,b)={x∈R:a<x<b}(a,b) = \{x \in \reals : a < x < b\} 
(a,b) = \{x \in \reals : a < x < b\}