💡 Words with a Similar Meaning to "Minimal polynomial"
Found via reverse dictionary — words that share a conceptual meaning.
| Word | Definition |
|---|---|
| primitive polynomialnoun | (algebra, field theory) A polynomial over a given finite field whose roots are primitive elements; especially, the minimal polynomial of a primitive element of said finite field. |
| splitting fieldnoun | (algebra, Galois theory) (of a polynomial) Given a polynomial p over a field K, the smallest extension field L of K such that p, as a polynomial over L, decomposes into linear factors (polynomials of degree 1); (of a set of polynomials) given a set P of polynomials over K, the smallest extension field of K over which every polynomial in P decomposes into linear factors. |
| separable polynomialnoun | (algebra, field theory) A polynomial over a given field that has distinct roots in the algebraic closure of said field (the number of roots being equal to the degree of the polynomial). |
| characteristic polynomialnoun | (linear algebra) The polynomial produced from a given square matrix by first subtracting the appropriate identity matrix multiplied by an indeterminant and then calculating the determinant. |
| null matrixnoun | (linear algebra) A zero matrix. |
| multilinear formnoun | (linear algebra, multilinear algebra) Given a vector space V over a field K of scalars, a mapping Vᵏ → K that is linear in each of its arguments; |
| perfect fieldnoun | (algebra, field theory) A field K such that every irreducible polynomial over K has distinct roots. |
| conjugatenoun | (algebra, of a complex number) A complex conjugate. |
| kernelnoun | The core, center, or essence of an object or system. |
| polynomial functionnoun | (mathematics) Any function whose value is the solution of a polynomial; an element of a subring of the ring of all functions over an integral domain, which subring is the smallest to contain all the constant functions and also the identity function. (If the polynomial is multivariate then there is a different identity function corresponding to each variable.) |
| minornoun | (law) A child, a person who has not reached the age of majority, consent, etc. and is legally subject to fewer responsibilities and less accountability and entitled to fewer legal rights and privileges. |
| lagrange polynomialnoun | (mathematics) For a given set of points (x_j,y_j) with no two x_j values equal, the polynomial of lowest degree that assumes at each value x_j the corresponding value y_j, so that the functions coincide at each point. |
| composition algebranoun | (algebra) A non-associative (not necessarily associative) algebra, A, over some field, together with a nondegenerate quadratic form, N, such that N(xy) = N(x)N(y) for all x, y ∈ A. |
| symplectic matrixnoun | (linear algebra) For given field F (especially the real numbers), even order 2n and nonsingular skew-symmetric matrix Ω, any 2n×2n matrix M with elements in F such that MᵀΩM = Ω (where Mᵀ denotes the transpose of M). |
| vanishing idealnoun | (algebraic geometry) An ideal consisting of all polynomials (belonging to a certain polynomial ring) which zero out within a given algebraic variety. |
| elementary matrixnoun | (linear algebra) A square matrix which is obtained from the identity matrix by a single elementary row (or column) operation. |
| algebraic integernoun | (algebra, number theory) A real or complex number (more generally, an element of a number field) which is a root of a monic polynomial whose coefficients are integers; equivalently, an algebraic number whose minimal polynomial (lowest-degree polynomial of which it is a root and whose leading coefficient is 1) has integer coefficients. |
| monicnoun | A monic polynomial. |
| zero matrixnoun | (mathematics) A matrix whose entries are all zero. |
| minorizernoun | (mathematics) A minorization function. |
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