| 释义 |
Definition of quaternion in English: quaternionnoun kwəˈtəːnɪən 1Mathematics
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. 〔数〕四元数 Example sentencesExamples - Two other papers which he published in the same year in publications of the Royal Society of Edinburgh were on the scalar functions of a vector and on an application of quaternions to differential equations.
- His work in algebraic number theory led him to study the quaternions and generalisations such as Clifford algebras.
- Later on, in 1858, Bellavitis included the system of quaternions into his geometric calculus.
- Hurwitz published a paper on a factorisation theory for integer quaternions in 1896 and applied it to the problem of representing an integer as the sum of four squares.
- Recall that when Hamilton passed from complex numbers to quaternions, multiplication lost one of its normal properties: commutativity.
2rare A set of four people or things. 〈罕〉四人组；四件套 Example sentencesExamples - The two figural miniatures and all the canon tables are contained on a separate gathering, a quaternion, physically joined together.
- 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.
- I am not likely to attempt your quaternion of colour very soon.
OriginMid 19th century: from late Latin quaternio(n-), from Latin quarterni (see quaternary). Definition of quaternion in US English: quaternionnoun 1Mathematics
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. 〔数〕四元数 Example sentencesExamples - Hurwitz published a paper on a factorisation theory for integer quaternions in 1896 and applied it to the problem of representing an integer as the sum of four squares.
- Later on, in 1858, Bellavitis included the system of quaternions into his geometric calculus.
- Two other papers which he published in the same year in publications of the Royal Society of Edinburgh were on the scalar functions of a vector and on an application of quaternions to differential equations.
- His work in algebraic number theory led him to study the quaternions and generalisations such as Clifford algebras.
- Recall that when Hamilton passed from complex numbers to quaternions, multiplication lost one of its normal properties: commutativity.
2rare A set of four people or things. 〈罕〉四人组；四件套 Example sentencesExamples - The two figural miniatures and all the canon tables are contained on a separate gathering, a quaternion, physically joined together.
- 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.
- I am not likely to attempt your quaternion of colour very soon.
OriginMid 19th century: from late Latin quaternio(n-), from Latin quarterni (see quaternary). |