primitive element


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primitive element

[′prim·əd·iv ′el·ə·mənt]
(mathematics)
A member of a finite number field from which all the other members can be generated by repeated multiplication.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in classic literature ?
Who ever saw his old clothes -- his old coat, actually worn out, resolved into its primitive elements, so that it was not a deed of charity to bestow it on some poor boy, by him perchance to be bestowed on some poorer still, or shall we say richer, who could do with less?
Note that all primitive BCH codes have a root of primitive element in GF([2.sup.m]).
Let p be an odd prime and let m be a positive integer and n is a primitive element of [F.sub.q].
After the nascent cosmos cooled a little, electrons and protons teamed up to form hydrogen, the most primitive element, and for hundreds of millions of years, this gas filled the universe.
The root a is known as a primitive element. To generate the non-zero elements of a finite field, we perform repeated exponentiations on the primitive element a until all the non-zero elements are generated.
By analogy with the twelve-tone system, 11 is the "generalized fifth" and 9 the "generalized fourth." From this point of view, the diatonic scale in the twenty-tone system is based on the automorphism generated by the primitive element 11, the "circle of sevenths," it turns out, and it has eleven elements.
If A is a Hopf algebra with comultiplication [gamma], then an element [rho] of A is called a primitive element if [gamma]([rho]) = [rho] [cross product] 1 + 1 [cross product] [rho].
I could see the efforts the people of the tribe put into maintaining the primitive elements surrounding the village.
Most inspiration ideas come from primitive elements, such as pets, fashion brands or origins.
Whatever they mean to Lee, the artist is clearly in touch with the most primitive elements of the psyche.
This trend has been marked in the case of imagery flowing from tribal and lower-caste practices into the classical tradition of Hinduism, whereas that of primitive elements amalgamating themselves into the Christian tradition was so far practically uncharted and unresearched territory.
Two artists in particular were axiomatic in promoting interest in the primitive: Paul Gauguin (1848-1903), who introduced Europeans to the culture of far-off peoples, and Pablo Picasso (1881-1973), who from around 1906 began to incorporate so-called primitive elements in his work.