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Additional
quaternion
English Wikipedia - The Free Encyclopedia
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Quaternion
In
mathematics
, the
quaternions
are a
number system
that extends the
complex numbers
. They were first described by Irish mathematician
William Rowan Hamilton
in 1843 and applied to
mechanics
in
three-dimensional space
. A feature of quaternions is that multiplication of two quaternions is
noncommutative
. Hamilton defined a quaternion as the
quotient
of two directed lines in a three-dimensional space or equivalently as the quotient of two
vector
s.
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