Hypercomplex Number - Catalogue

Catalogue

A definition of hypercomplex number is given by Kantor & Solodovnikov (1989) as finite dimensional algebras over the reals that are unital and distributive (but not necessarily associative). Elements are generated with real number coefficients for a basis . It is conventional to normalize the basis so that . A technical approach to hypercomplex numbers directs attention first to those of dimension two. Higher dimensions are configured as Cliffordian or algebraic sums of other algebras.

Read more about this topic:  Hypercomplex Number

Famous quotes containing the word catalogue:

    Ay, in the catalogue ye go for men,
    As hounds and greyhounds, mongrels, spaniels, curs,
    Shoughs, water-rugs, and demi-wolves, are clept
    All by the name of dogs.
    William Shakespeare (1564–1616)

    A universal and perpetual peace, it is to be feared, is in the catalogue of events which will never exist but in the imaginations of visionary philosophers, or in the breasts of benevolent enthusiasts.
    James Madison (1751–1836)

    To a person uninstructed in natural history, his country or sea-side stroll is a walk through a gallery filled with wonderful works of art, nine-tenths of which have their faces turned to the wall. Teach him something of natural history, and you place in his hands a catalogue of those which are worth turning round.
    Thomas Henry Huxley (1825–95)