On the moments of a polynomial in one variableMoments of polynomialsComplex analysisGenerating functionLet f be a non-zero polynomial with complex coefficients and define Mn(f)=∫01f(x)ndx. We use ideas of Duistermaat and van der Kallen to prove lim supn→∞ |Mn(f)|1∕n>0. In particular, Mn(f)≠0 for infinitely many...
The lemma on b-functions is a result due to I.N.Bernstein about the existence of certain differential operators with polynomial coefficients.In this paper we give an elementary and constructive proof of this result that works well in one variable.Our method results in a simple formula for the...
When is a polynomial in one variable in standard form - A polynomial in one variable is in standard form when all the terms are arranged from the highest exponent to the lowest exponent
Also an nth degree polynomial in one variable has at most n-1 relative extrema (relative maximums or relative minimums). Since a relative extremum is a turn in the graph, you could also say there are at most n-1 turns (turning points)...
Introduction || Polynomials In One Variable || Types Of Polynomial || Degree Of Polynomial || Examples
A polynomial in one variable can be viewed as a formal sum anxn + an-1xn-1 + . . . + a1x + a0 , where x is the formal variable and a i are the coefficients of the polynomial. The greatest i such that ai != 0 is called the degree of the polynomial. If ai = 0 for all...
英语解释 a polynomial in one variable 相似短语 monic polynomial首项系数为一的多项式,首一多项式 Monic method随机搜索法 monic equation首一方程, 首项系数为一的方程 piecewise polynomial sectioned polynomial分段多项式 bivariate polynomial双变量多项式
A polynomial is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients. A polynomial in one variable (i.e., a univariate polynomial) with constant coefficients is given by (1) The individual summands with the coefficients (usually) included ...
Let F be a field, F[λ] the algebra of polynomials in one variable λ with coefficients in F. Matrices with entries in F[λ] are called matrix polynomials, or polynomial matrices. 4.1 The Smith form We start with the Smith canonical form which plays an important role in the analysis of...
Factorization of monomorphisms of a polynomial algebra in one variable V. V. Bavula Full-Text Cite this paper Add to My Lib Abstract: Let $K[x]$ be a polynomial algebra in a variable $x$ over a commutative $\Q$-algebra $K$, and $\G'$ be the monoid of $K$-algebra monomorp...