Name: Split-biquaternion
SKU: 67016068
Price: 5450.00 TWD
Availability: InStock
ISBN: 9786131227301

Select your country

Americas

Europe

Rest of the world

Type

Physical Book

Publisher

Betascript Publishing

Language

English

Format

Paperback

ISBN13

9786131227301

Split-biquaternion

New Book Imported to Taiwan

Delivery: 06 Nov - 16 Nov

NT$ 5,450

NT$ 5,450

Add to Wishlist

Synopsis "Split-biquaternion"

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a split-biquaternion is a member of the Clifford algebra C 0,3(R). This is the geometric algebra generated by three orthogonal imaginary unit basis directions, {e1, e2, e3} under the combination rule e_i e_j = Bigg{ begin{matrix} -1 & i=j, - e_j e_i & i not = j end{matrix} giving an algebra spanned by the 8 basis elements {1, e1, e2, e3, e1e2, e2e3, e3e1, e1e2e3}, with (e1e2)2 = (e2e3)2 = (e3e1)2 = 1 and ( = e1e2e3)2 = +1. The sub-algebra spanned by the 4 elements {1, i = e1, j = e2, k = e1e2} is the division ring of Hamilton''s quaternions, H = C 0,2(R) One can therefore see that Cl_{0,3}(mathbb{R}) = mathbb{H} otimes mathbb{D} where D = C 1,0(R) is the algebra spanned by {1, }, the algebra of the split-complex numbers. Equivalently, Cl_{0,3}(mathbb{R}) = mathbb{H} oplus mathbb{H}. Because of this isomorphism, the term "split biquaternion" is archaic and no longer used much by mathematicians.

Customers reviews

Have you read this book? Login to add your review.

More customer reviews

0% (0)
0% (0)
0% (0)
0% (0)
0% (0)

Questions and Answers about the Book

Do you have a question about the book? Login to be able to add your own question.

Opinions about Bookdelivery

More customer reviews

Synopsis "Split-biquaternion"

Customers reviews

Frequently Asked Questions about the Book

Is the book original?

In what language is the book written?

What is the format of this book?

Questions and Answers about the Book

Opinions about Bookdelivery