The story of William Rowan Hamilton’s discovery of new four-dimensional numbers called quaternions is familiar. The solution of a problem that had bothered him for years occurred to him in a flash of ...
If you have data gathered in one coordinate system and want to express them in terms of a different coordinate system, you probably would use a translation vector and a rotation matrix. You can, ...
Over the past 11 years, our national Maths Week has promoted awareness and appreciation of mathematics in the world around us, with hundreds of events held around the country to demonstrate the ...
THE year 1844 is memorable in the annals of mathematics on account of the first appearance on the printed page of Hamilton's “Quaternions” and Grassmann's “Ausdehnungslehre.” The former appeared in ...
HAVING a vivid recollection of the pleasure I derived born Prof. Gibbs's attacks upon the quaternionic system in the rather one-sided discussion that took place about two years ago in this journal, I ...
La représentation d'une rotation sous la forme d'un quaternion (4 nombres) est plus compacte que la représentation en tant que matrice orthogonale (9 nombres). De plus, pour un axe et un angle donné, ...
Imagine winding the hour hand of a clock back from 3 o’clock to noon. Mathematicians have long known how to describe this rotation as a simple multiplication: A number representing the initial ...
Irish physicist, astronomer, and mathematician Sir William Rowan Hamilton introduced quaternions, a non-commutative extension of complex numbers, on October 16, 1843. Benjamin Olinde Rodrigues had ...
La multiplication des quaternions est non commutative. Comme multiplier des quaternions unitaires revient à composer les rotations dans l'espace à trois dimensions, on peut rendre cette propriété ...
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