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R

Represents the set of all real numbers in mathematics, forming a fundamental number system.

Overview

Essential in mathematical notation across algebra, calculus, and analysis, serving as the foundation for continuous mathematics and numerical computations.

  • Used to specify domains and ranges of functions
  • Critical in defining continuous intervals and mathematical constraints
  • Appears frequently in optimization problems and mathematical proofs
  • Common in linear algebra when describing vector spaces
  • Fundamental in analytical geometry for coordinate systems

Examples

Denoting the set of real numbers in a function domain.

f:R→Rf: \R \to \R 
f: \R \to \R

Specifying a vector space over the real numbers.

V=R3V = \R^3 
V = \R^3

Expressing a real-valued interval.

x∈(−∞,0)⊂Rx \in (-\infty, 0) \subset \R 
x \in (-\infty, 0) \subset \R