Set of Quaternions Symbol

Symbol Format Data
Code Point
U+210D
TeX
\mathbb{H}
SVG
All symbols

Usage

The set of quaternions symbol (ℍ) is used in math to represent the set of quaternions. Typically, the symbol appears in an expression like this:

In plain language, this expression means the variable represents a quaternion number that is contained within the set of quaternions.

Quaternions are a four-dimensional extension of the complex numbers, where each quaternion can be expressed as , where are real numbers and are the fundamental quaternion units.

Related

capital h

The capital Latin letter H.

set of complex numbers

The set of complex numbers is represented by the Latin capital letter C. The symbol is often presented with a double-struck font face just as with other number sets. The set of complex numbers extends the real numbers.

set of real numbers

The set of real numbers symbol is a Latin capital R presented in double-struck typeface.