Find link

language:

Find link is a tool written by Edward Betts.

searching for Minimal polynomial (field theory) 10 found (40 total)

alternate case: minimal polynomial (field theory)

Glossary of field theory (2,063 words) [view diff] no match in snippet view article find links to article

Field theory is the branch of mathematics in which fields are studied. This is a glossary of some terms of the subject. (See field theory (physics) for

Primitive element theorem (1,911 words) [view diff] no match in snippet view article find links to article

_{i}({\sqrt {3}})=\pm {\sqrt {3}}} for each choice of signs. The minimal polynomial f ( X ) ∈ Q [ X ] {\displaystyle f(X)\in \mathbb {Q} [X]} of α = 2

Algebraic number field (8,506 words) [view diff] no match in snippet view article find links to article

{\displaystyle x} be a primitive element of K {\displaystyle K} , with minimal polynomial f {\displaystyle f} (over Q {\displaystyle \mathbb {Q} } ). Over R

Cayley–Hamilton theorem (11,251 words) [view diff] no match in snippet view article find links to article

the Cayley–Hamilton theorem is equivalent to the statement that the minimal polynomial of a square matrix divides its characteristic polynomial. A special

Algebra (13,739 words) [view diff] no match in snippet view article find links to article

Retrieved 2023-01-11. Barrera-Mora, Fernando (2023). Linear Algebra: A Minimal Polynomial Approach to Eigen Theory. Walter de Gruyter GmbH & Co KG. ISBN 978-3-11-113591-5

Hilbert's Theorem 90 (1,917 words) [view diff] no match in snippet view article find links to article

some α {\displaystyle \alpha } . Since α {\displaystyle \alpha } has minimal polynomial f ( t ) = ( t − α ) ( t − σ ( α ) ) ⋯ ( t − σ n − 1 ( α ) ) ∈ K [

Glossary of arithmetic and diophantine geometry (4,753 words) [view diff] no match in snippet view article find links to article

of coefficients, or of an algebraic number, from the height of its minimal polynomial. Néron symbol The Néron symbol is a bimultiplicative pairing between

Fundamental theorem of Galois theory (3,001 words) [view diff] no match in snippet view article find links to article

{\displaystyle \omega =-{\tfrac {1}{2}}+i{\tfrac {\sqrt {3}}{2}}.} Since ω has minimal polynomial x 2 + x + 1 {\displaystyle x^{2}+x+1} , the extension Q ⊂ K {\displaystyle

List of named matrices (1,336 words) [view diff] no match in snippet view article find links to article

machine learning processes. Gamma matrices — 4 × 4 matrices in quantum field theory. Gell-Mann matrices — a generalization of the Pauli matrices; these matrices

Ring (mathematics) (13,697 words) [view diff] no match in snippet view article

finite-dimensional vector space over a field k and f : V → V a linear map with minimal polynomial q. Then, since k[t] is a unique factorization domain, q factors into