quaternion

However, controversy about the use of quaternions grew in the late 19th century.

He has also done work in algebra, particularly with quaternions.

In mathematics, he is perhaps best known as the inventor of quaternions.

A third approach, which only works in four dimensions, is to use a pair of unit quaternions.

Right quaternions may be put in what was called the standard trinomial form.

Only negative real quaternions have an infinite number of square roots.

The product of two right quaternions is generally a quaternion.

He was also an expert in mathematical chemistry and quaternions.

In mathematics, the quaternions are a number system that extends the complex numbers.

The 1867 exposition on complex numbers and quaternions is particularly memorable.

This can be seen in its relation to quaternions.

Hamilton had great hopes for quaternions but they were not quite what the physicists wanted.

Because it is possible to divide quaternions, they form a division algebra.

This is due to the existence of quaternions and octonions.

These coordinates have an elegant description in terms of quaternions.

This article describes the original invention and subsequent development of quaternions.

Mathematically, quaternions discussed here are those used in almost all modern applications.

The result is a skew field called the quaternions.

Unlike quaternions they do not form a division ring.

Quaternions can be represented as pairs of complex numbers.

The other great contribution Hamilton made to mathematical science was his discovery of quaternions in 1843.

At this time, quaternions were a mandatory examination topic in Dublin.

The set H of all quaternions is a vector space over the real numbers with dimension 4.

This article describes Hamilton's original treatment of quaternions, using his notation and terms.

Note the negative sign is introduced to simplify the correspondence with quaternions.