monic polynomial


Also found in: Thesaurus, Medical, Encyclopedia, Wikipedia.
Related to monic polynomial: monic equation, Irreducible polynomial
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.monic polynomial - a polynomial in one variable
multinomial, polynomial - a mathematical function that is the sum of a number of terms
Mentioned in ?
References in periodicals archive ?
The sender first extracts features F from the ECG signals to form a session key Thand F is used as the root to build an ECG monic polynomial. Only the receiver with similar features set to F can reconstruct the polynomial and then regenerate K.
Let [mu](x) be a monic polynomial over Z of least degree such that [mu]([theta]) [member of] P.
(i) g(x) is the unique monic polynomial of minimum degree in C, and it is called the generating polynomial for C.
However, there is one special case which is amenable to solution for any value of n, namely the one in which all the coefficients equal zero except [a.sub.n] = 1 and [a.sub.0] = -1; then, the following reduced monic polynomial results:
Then q(z) is a monic polynomial of degree m such that, by the Cayley-Hamilton theorem, q(T) = 0.
Then every monic polynomial f(X) in R[X] of degree relatively prime to p has OA.
where [B.sup.+] is a monic polynomial whose zeros are stable and so well damped that they can be canceled by the controller and [B.sup.-] corresponds to the unstable or poorly damped factors that cannot be canceled.
This can be further processed to obtain the monic polynomial (9) and the non-null solutions (8).
[alpha](s) is a monic polynomial of unknown coefficients, while [beta](s) is a monic polynomial of known coefficients that are determined by poles [[lambda].sub.1], [[lambda].sub.2], ..., [[lambda].sub.n-m]}.
Since [c.sub.m](z) is arbitrary monic polynomial of degree [v.sub.m], the linear space V over R spanned by the rows of polynomial vector [a(z)-d(z)], consists of all polynomials [lambda](z) over R[z] with
Let [a.sup.n] (z) be a monic polynomial of degree n with real coefficients [a.sub.i] [member of] R, i = 0, ..., n - 1