quaternion in English

noun
1
a complex number of the form w + xi + yj + zk , where w , x , y , z are real numbers and i , j , k are imaginary units that satisfy certain conditions.
Recall that when Hamilton passed from complex numbers to quaternions , multiplication lost one of its normal properties: commutativity.
2
a set of four people or things.
And when he had apprehended him, he put him in prison, and delivered him to four quaternions of soldiers to keep him; intending after Easter to bring him forth to the people.
noun

Use "quaternion" in a sentence

Below are sample sentences containing the word "quaternion" from the English Dictionary. We can refer to these sentence patterns for sentences in case of finding sample sentences with the word "quaternion", or refer to the context using the word "quaternion" in the English Dictionary.

1. Biped uses Quaternion rotation to control an animation in the Curve Editor by default

2. Only the functions 'sqr ' and 'cube ' are defined in the quaternion algebra

3. The generalized quaternion groups have the property that every abelian subgroup is cyclic.

4. Quaternion Algebras encompasses a vast wealth of knowledge at the intersection of many fields

5. Unlike the quaternion algebra, the split-quaternions contain nontrivial zero divisors, nilpotent elements, and idempotents.

6. The 'Complex projective contact manifolds' (Contact manifolds) project is working to classify complex projective contact Fano manifolds and quaternion-Kähler manifolds with positive scalar curvature.

7. Considered with the operations of component-wise addition, and multiplication according to the quaternion group, this collection forms a 4-dimensional algebra over the complex numbers C.