Search results
Results from the WOW.Com Content Network
In mathematics, quaternions are a non-commutative number system that extends the complex numbers.Quaternions and their applications to rotations were first described in print by Olinde Rodrigues in all but name in 1840, [1] but independently discovered by Irish mathematician Sir William Rowan Hamilton in 1843 and applied to mechanics in three-dimensional space.
It has been argued that the discovery of the quaternions, by revealing deep mathematical structures that did not obey the commutative law, allowed mathematicians to create new systems unbound by the rules of ordinary arithmetic. It follows that the climax of the Hamilton walk at Broom Bridge marks the exact spot where modern algebra was born. [5]
A plaque under the Broom Bridge, associated with the discovery of quaternions, was unveiled by Éamon de Valera on 13 November 1958. [ 52 ] [ 53 ] Since 1989, the National University of Ireland, Maynooth , has organised a pilgrimage called the Hamilton Walk , in which mathematicians take a walk from Dunsink Observatory to the bridge, where no ...
A quaternion of the form a + 0 i + 0 j + 0 k, where a is a real number, is called scalar, and a quaternion of the form 0 + b i + c j + d k, where b, c, and d are real numbers, and at least one of b, c, or d is nonzero, is called a vector quaternion. If a + b i + c j + d k is any quaternion, then a is called its scalar part and b i + c j + d k ...
Plaque on Broome Bridge It is famous for being the location where Sir William Rowan Hamilton first wrote down the fundamental formula for quaternions on 16 October 1843, which is to this day commemorated by a stone plaque on the northwest corner of the underside of the bridge.
A quaternion is by definition the quotient of two vectors and the tensor of a quaternion is by definition the quotient of the tensors of these two vectors. In symbols: q = α β . {\displaystyle q={\frac {\alpha }{\beta }}.}
A plaque commemorating the Black family who owned a patch of California beach that was seized in 1924 by segregationist government officials has been stolen, authorities in Manhattan Beach said ...
Quaternion Eagle, hand-coloured woodcut by Hans Burgkmair, c. 1510. Over its long history, the Holy Roman Empire used many different heraldic forms, representing its numerous internal divisions. One rendition of the coat of the empire was the Quaternion Eagle, printed by David de Negker of Augsburg after a 1510 woodcut by Hans Burgkmair. [2]