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How to pronounce “primitive element

Hear “primitive element” in real YouTube speech, then study definitions and example sentence snippets.

Pronunciation guide for primitive element

Learning goal
Practice the English pronunciation of primitive element with real speech in context.
Available examples
8 YouTube examples
Real speech example
The Meta-Problem of Consciousnessis taken to be somehow irreducible and primitive.
Definition summary
(algebra, field theory) An element that generates a simple extension.

Example 1 of 8

How to pronounce primitive element

The Meta-Problem of Consciousness

is taken to be somehow irreducible and primitive.

Example Sentences

A Deep Dive Into “primitive element

Meaning

  • [Noun]
  • (algebra, field theory) An element that generates a simple extension.
  • (algebra, field theory, of a finite field) An element that generates the multiplicative group of a given Galois field (finite field).
  • (number theory) Given a modulus n, a number g such that every number coprime to n is congruent (modulo n) to some power of g; equivalently, a generator of the multiplicative field of integers modulo n.
  • (algebra, lattice theory, of a lattice) An element that is not a positive integer multiple of another element of the lattice.
  • (algebra, of a coalgebra over an element g) An element x ∈ C such that μ(x) = x ⊗ g + g ⊗ x, where μ is the comultiplication and g is an element that maps to the multiplicative identity 1 of the base field under the counit (in particular, if C is a bialgebra, g = 1).
  • (group theory, of a free group) An element of a free generating set of a given free group.

Practice Nearby Words

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Similar Sounds

personal development, primitivism, predicament, primitively, prevailment, bedevilment, belittlement, bimetallism, self development, song of solomon