例句與造句

1. Unlike the ordinary quaternions, the hyperbolic quaternions are not associative.
2. In fact, this example shows that the hyperbolic quaternions are not even an alternative algebra.
3. The concepts of quasigroup and algebra over a field are examples of mathematical structures describing hyperbolic quaternions.
4. Note however, that non-associative systems like octonions and hyperbolic quaternions represent another type of hypercomplex number.
5. As for mathematics, the hyperbolic quaternion is another hypercomplex number, as such structures were called at the time.
6. It's difficult to find hyperbolic quaternions in a sentence. 用hyperbolic quaternions造句挺難的
7. Among the peculiarities of this approach to relativistic kinematic is the anisotropic profile, say as compared to hyperbolic quaternions.
8. The four-dimensional algebra of hyperbolic quaternions incorporates some of the features of the older and larger algebra of biquaternions.
9. So the appearance of Macfarlane's hyperbolic quaternions had some motivation, but the disagreeable non-associativity precipitated a reaction.
10. In 1899 Charles Jasper Joly noted the hyperbolic quaternion and the non-associativity property while ascribing its origin to Oliver Heaviside.
11. The hyperbolic quaternions, as the " Algebra of Physics ", undercut the claim that ordinary quaternions made on physics.
12. At the time structures such as Lie algebras and hyperbolic quaternions drew attention to the need to expand algebraic structures beyond the associatively multiplicative class.
13. In 1900 Alexander published " Hyperbolic Quaternions " with the Royal Society in Edinburgh, and included a sheet of nine figures, two of which display conjugate hyperbolas.
14. Michael J . Crowe devotes chapter six of his book " A History of Vector Analysis " to the various published views, and notes the hyperbolic quaternion: