- In mathematics, the
quaternion number system extends the
complex numbers.
Quaternions were
first described by the
Irish mathematician William Rowan Hamilton...
- Unit
quaternions,
known as versors,
provide a
convenient mathematical notation for
representing spatial orientations and
rotations of
elements in three...
-
angles and unit
quaternions. This
article explains how to
convert between the two representations.
Actually this
simple use of "
quaternions" was
first presented...
- In
group theory, the
quaternion group Q8 (sometimes just
denoted by Q) is a non-abelian
group of
order eight,
isomorphic to the eight-element
subset {1...
- The
Quaternion Eagle (German: Quaternionenadler; Italian:
Aquila Quaternione), also
known as the
Imperial Quaternion Eagle (German: Quaternionen-Reichsadler)...
-
quaternion in Wiktionary, the free dictionary. The
quaternions form a
number system that
extends the
complex numbers.
Quaternion rotation Quaternion group...
- In mathematics,
quaternions are a non-commutative
number system that
extends the
complex numbers.
Quaternions and
their applications to
rotations were...
- In mathematics, a
Hurwitz quaternion (or
Hurwitz integer) is a
quaternion whose components are
either all
integers or all half-integers (halves of odd...
-
spherical linear interpolation,
introduced by Ken
Shoemake in the
context of
quaternion interpolation for the
purpose of
animating 3D rotation. It
refers to constant-speed...
- In mathematics, the dual
quaternions are an 8-dimensional real
algebra isomorphic to the
tensor product of the
quaternions and the dual numbers. Thus...