Arthur Cayley and Cayley–Dickson construction

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Arthur Cayley and Cayley–Dickson construction

Arthur Cayley vs. Cayley–Dickson construction

Arthur Cayley F.R.S. (16 August 1821 – 26 January 1895) was a British mathematician. In mathematics, the Cayley–Dickson construction, named after Arthur Cayley and Leonard Eugene Dickson, produces a sequence of algebras over the field of real numbers, each with twice the dimension of the previous one.

Similarities between Arthur Cayley and Cayley–Dickson construction

Arthur Cayley and Cayley–Dickson construction have 4 things in common (in Unionpedia): Mathematics, Octonion, Quaternion, William Rowan Hamilton.

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Octonion

In mathematics, the octonions are a normed division algebra over the real numbers, usually represented by the capital letter O, using boldface O or blackboard bold \mathbb O. There are three lower-dimensional normed division algebras over the reals: the real numbers R themselves, the complex numbers C, and the quaternions H. The octonions have eight dimensions; twice the number of dimensions of the quaternions, of which they are an extension.

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Quaternion

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

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William Rowan Hamilton

Sir William Rowan Hamilton MRIA (4 August 1805 – 2 September 1865) was an Irish mathematician who made important contributions to classical mechanics, optics, and algebra.

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The list above answers the following questions

What Arthur Cayley and Cayley–Dickson construction have in common
What are the similarities between Arthur Cayley and Cayley–Dickson construction

Arthur Cayley and Cayley–Dickson construction Comparison

Arthur Cayley has 116 relations, while Cayley–Dickson construction has 48. As they have in common 4, the Jaccard index is 2.44% = 4 / (116 + 48).

References

This article shows the relationship between Arthur Cayley and Cayley–Dickson construction. To access each article from which the information was extracted, please visit:

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