cross product

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cross product

[′krȯs ‚prä·dəkt]

(mathematics)

An anticommutative multiplication on the vectors of euclidean three-dimensional space. Also known as vector product.

The product of the two mean terms of a proportion, or the product of the two extreme terms; in the proportion a/b = c/d, it is ad or bc.

References in periodicals archive ?

In this paper, we will give another construction of such semigroups by using right cross product of semigroups.

Then, a right cross product M [[??].sub.[theta]] [LAMBDA] of M and [LAMBDA] is a right C-rpp semigroup.

We now begin to show how a right C-rpp semigroup S become a right cross product of M and [LAMBDA], where M is a strongly semilattice of left cancellative monoids and [LAMBDA] is a right regular band.

(II) Now we consider a construction for structure mapping [[theta].sub.[alpha],[beta]] of a right cross product M [[??].sub.[theta] [LAMBDA].

(III) We will verify that the conditions (ii) and (iii) in the right cross product of M and [LAMBDA] are satisfied by the mapping [[theta].sub.[alpha],[beta]].

A structure theorem of right C-rpp semigroups (1)

and by our construction it is easy to see that the edge homomorphism [Mathematical Expression Omitted] is induced by the cross product.

On Morava K-theories of Chevalley groups

This is done for computational efficiency, as well as stability: cross products of the form [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] with potentially a high condition number are avoided.