A letter of the alphabet drawn with doubled vertical strokes is called doublestruck, or sometimes blackboard bold (because doublestruck characters provide a means of
indicating bold font weight when writing on a blackboard). For example, ,
,
,
,
, .... Important sets in mathematics
are commonly denoted using doublestruck characters, e.g., C
for the set of complex numbers, Q for the rational numbers,
R for the real numbers,
for Euclidean n-space,
and Z for the integers.
The use of doublestruck characters is a relatively recent typesetting convention, with older book and manuscripts using either an unadorned capital letter (e.g., and
in Peressini et al. 1998, pp. 1 and 5) or a
bold capital letter (e.g.,
,
, and
in O'Neill 1966, pp. 3-5).
Doublestruck characters can be encoded using the AMSFonts extended fonts for LaTeX using the syntax \mathbb{C}, and typed in the Wolfram Language using the syntax \[DoubleStruckCapitalC], where C denotes any letter.
Many classes of sets are denoted using doublestruck characters. The table below gives symbols for some common sets in mathematics.
| symbol | set |
| algebraics | |
| Booleans | |
| complex numbers | |
| any field | |
| Gaussian integer | |
| quaternions, upper half-plane | |
| hyperbolic plane | |
| integers | |
| natural numbers | |
| octonions | |
| primes | |
| rational numbers | |
| reals | |
| real numbers
in | |
| real | |
| integers | |
| integers (mod
| |
| negative integers | |
| positive integers | |
| nonnegative integers |