TeXipedia

mathbb

Produces blackboard bold characters, commonly used for denoting standard number sets and mathematical constants.

Overview

Essential notation in advanced mathematics for representing fundamental number systems and mathematical structures with distinctive double-struck lettering.

  • Most frequently used to denote standard number sets (ℝ for real numbers, ℤ for integers, ℕ for natural numbers)
  • Common in abstract algebra, real analysis, and theoretical mathematics
  • Helps distinguish special sets and structures from regular variables
  • Professional standard in academic papers and mathematical publications
  • Particularly valuable when discussing number theory or set theory concepts

Examples

Denoting the set of real numbers in mathematical notation.

x∈Rx \in \mathbb{R} 
x \in \mathbb{R}

Using multiple blackboard bold letters to represent common number sets in set theory.

N⊂Z⊂Q⊂R⊂C\mathbb{N} \subset \mathbb{Z} \subset \mathbb{Q} \subset \mathbb{R} \subset \mathbb{C} 
\mathbb{N} \subset \mathbb{Z} \subset \mathbb{Q} \subset \mathbb{R} \subset \mathbb{C}

Representing a probability space in measure theory.

P:(Ω,F)→RP: (\mathbb{\Omega}, \mathcal{F}) \to \mathbb{R} 
P: (\mathbb{\Omega}, \mathcal{F}) \to \mathbb{R}