- primitive field element
- 本原域[原始域]元素
English-Chinese dictionary. 2013.
primitive field element
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Primitive polynomial — In field theory, a branch of mathematics, a primitive polynomial is the minimal polynomial of a primitive element of the finite extension field GF( p m ). In other words, a polynomial F(X) with coefficients in GF( p ) = Z/ p Z is a primitive… … Wikipedia
Primitive — is a subjective label used to imply that one thing is less sophisticated or less advanced than some other thing. Being a comparative word it is also relative in nature.Indigenous peoples and their beliefs and practices are sometimes described as… … Wikipedia
Primitive element theorem — In mathematics, more specifically in field theory, the primitive element theorem provides a characterization of the finite field extensions which are simple and thus can be generated by the adjunction of a single primitive element. Primitive… … Wikipedia
Field extension — In abstract algebra, field extensions are the main object of study in field theory. The general idea is to start with a base field and construct in some manner a larger field which contains the base field and satisfies additional properties. For… … Wikipedia
Field (mathematics) — This article is about fields in algebra. For fields in geometry, see Vector field. For other uses, see Field (disambiguation). In abstract algebra, a field is a commutative ring whose nonzero elements form a group under multiplication. As such it … Wikipedia
Primitive element — In mathematics, the term primitive element can mean: * Primitive root modulo n , in number theory * Primitive element (field theory), an element that generates a given field extension * Primitive element (finite field), an element that generates… … Wikipedia
Primitive element (finite field) — In field theory, a branch of mathematics, a primitive element of a finite field GF ( q ) is a generator of the multiplicative group of the field, which is necessarily cyclic. The minimal polynomial of a primitive element is a primitive polynomial … Wikipedia
Primitive Methodism — methodismPrimitive Methodism was a major movement in English Methodism from about 1810 until the Methodist Union in 1932. The Primitive Methodist Church still exists in the United States. OriginsPrimitive Methodism was born in Staffordshire in… … Wikipedia
Primitive recursive function — The primitive recursive functions are defined using primitive recursion and composition as central operations and are a strict subset of the recursive functions (recursive functions are also known as computable functions). The term was coined by… … Wikipedia
Primitive permutation group — In mathematics, a permutation group G acting on a set X is called primitive if G preserves no nontrivial partition of X . In the other case, G is imprimitive. An imprimitive permutation group is an example of an induced representation; examples… … Wikipedia
Primitive root — In mathematics, a primitive root may mean either* a primitive root modulo n in modular arithmetic, or * a primitive n th root of unity amongst the solutions of xn = 1 in a field.See also: primitive element … Wikipedia
