M. Avendan˜o, The number of real roots of a bivariate polynomial on a line, ac- cepted for presentation at MEGA 2007, also available as Math ArXiV preprint arXiv:math/0702891.Avendan˜o, Martin, "The Number of Real Roots of a Bivariate Polynomial on a Line," submitted for ...
Local universality for real roots of random trigonometric polynomials Consider a random trigonometric polynomial $X_n: \\mathbb R \\to \\mathbb R$ ofthe form $$ X_n(t) = \\sum_{k=1}^n \\left( \\xi_k \\sin (kt) + \\eta_k \\cos... A Iksanov,Z Kabluchko,A Marynych - ...
I investigate on the number t of real eigenvectors of a real symmetric tensor. In particular, given a homogeneous polynomial f of degree d in 3 variables, i prove that t is greater or equal than 2c+1, if d is odd and t is greater or equal than max(3,2c+1), is d is even, ...
The expected number of real projective roots of orthogonally invariant random homogeneous real polynomial systems is known to be equal to the square root of the Bézout number. A similar result is known for random multi-homogeneous systems, invariant through a product of orthogonal groups. In this...
On the Variance of the Number of Real Roots of Random Polynomials 来自 Semantic Scholar 喜欢 0 阅读量: 42 作者: NB Maslova 摘要: Let be a sequence of independent identically distributed random variables, be the number of real roots of the polynomial . The main result is {em If , ,...
doi:10.1080/07362998308809013In this paper we obtain an estimate of the variance of the number of real roots of a random algebraic polynomial whose coefficients are dependent standard Gaussian random variables.M. SambandhamSchool of MathematicsV. Thangaraj & A.T. Bharucha-Reid...
We say that the real number system is a continuum. 我们讲,实数系是一个连续集. 辞典例句 Methods of exploring the real number roots of a real coefficient polynomial function are procedurally given. 摘要较程序化地给出了实系数多项式函数实数根的求法. 期刊摘选 Governs the format of the character ...
The degree of a polynomial function identifies the number of roots that it will have. However, not all of the roots of the function have to be real roots. It is possible that some of the roots will be imaginary.Consider the two functions that follow to answer the given questions. Answer...
In: From topology to computation: proceedings of the smalefest (Berkeley., CA, 1990), Springer, New York, pp 419–431 Kostlan E (2002) On the expected number of real roots of a system of random polynomial equations. In: Foundations of computational mathematics (Hong Kong, 2000). World ...
We give a new short clear proof of the asymptotics for the number c n of real roots of the Bernoulli polynomials B n ( x ), as well as for the maximal root y n : 2000 Mathematics Subject Classification: 11B68, 11B83.