Hamilton carved his quaternion formula on Broombridge, where the answer had come to him.

Each quaternion has four parts, like the co-ordinates of a point in four-dimensional space.

An early link with Ireland was his use in his doctoral dissertation of quaternion calculus.

During this search, the RMSD values for all chemically relevant pairings are calculated by quaternion algebra.

A quaternion is a certain type of four-dimensional number and was a totally new concept in mathematics.

Outside the quaternion were the dancing Pauppukkeewis, the Whirlwind, and the fierce and shifty hero, Monobozho, the North-West Wind.

There is no fear of the quaternion of soldiers waking, or of there not being time to do all.

The multitudinous philosophies may thus be reduced to a single quaternion, and the reputed inaugurator of a new philosophy is like to be a charlatan.

Quaternions are four-dimensional numbers useful for solving problems in mechanics and optics.

Quaternions had been invented by Irish mathematician William Rowan Hamilton in 1843.

There was at least one other, 11 years after Hamilton's discovery of quaternions.

These use some exotically named methods such as affine transformations, spline interpolation and quaternions.

In 1843, Hamilton defied convention and developed a new system of four-dimensional numbers called quaternions.

The story of William Rowan Hamilton's discovery of new four-dimensional numbers called quaternions is familiar.

Quaternions can be added, subtracted, multiplied and divided like ordinary numbers, but there is a catch.

The annual Hamilton Quaternion Walk along the Royal Canal takes place this year on Sunday October 16th.