Standard

Random polynomials and geometric probability. / Zaporozhets, D. N.; Kurkina, A. V.

In: Doklady Akademii Nauk, Vol. 400, No. 3, 25.10.2005, p. 299-303.

Research output: Contribution to journal › Article › peer-review

Harvard

Zaporozhets, DN & Kurkina, AV 2005, 'Random polynomials and geometric probability', Doklady Akademii Nauk, vol. 400, no. 3, pp. 299-303.

APA

Zaporozhets, D. N., & Kurkina, A. V. (2005). Random polynomials and geometric probability. Doklady Akademii Nauk, 400(3), 299-303.

Vancouver

Zaporozhets DN, Kurkina AV. Random polynomials and geometric probability. Doklady Akademii Nauk. 2005 Oct 25;400(3):299-303.

Author

Zaporozhets, D. N. ; Kurkina, A. V. / Random polynomials and geometric probability. In: Doklady Akademii Nauk. 2005 ; Vol. 400, No. 3. pp. 299-303.

BibTeX

@article{cb0b28b57a994996a2bb446f34244eba,
title = "Random polynomials and geometric probability",
abstract = "The approach previously used for analyzing density for the set of straight lines on a plane is applied to a set of polynomials instead of lines. As result, a formula for the average number of substantial roots for random polynomial, whose coefficients possess arbitrary compatible density, is obtained. The formula can be generalized for polynomials of several variables as well as on random point and vector fields.",
author = "Zaporozhets, {D. N.} and Kurkina, {A. V.}",
year = "2005",
month = oct,
day = "25",
language = "English",
volume = "400",
pages = "299--303",
journal = "ДОКЛАДЫ АКАДЕМИИ НАУК",
issn = "0869-5652",
publisher = "Издательство {"}Наука{"}",
number = "3",

}

RIS

TY - JOUR

T1 - Random polynomials and geometric probability

AU - Zaporozhets, D. N.

AU - Kurkina, A. V.

PY - 2005/10/25

Y1 - 2005/10/25

N2 - The approach previously used for analyzing density for the set of straight lines on a plane is applied to a set of polynomials instead of lines. As result, a formula for the average number of substantial roots for random polynomial, whose coefficients possess arbitrary compatible density, is obtained. The formula can be generalized for polynomials of several variables as well as on random point and vector fields.

AB - The approach previously used for analyzing density for the set of straight lines on a plane is applied to a set of polynomials instead of lines. As result, a formula for the average number of substantial roots for random polynomial, whose coefficients possess arbitrary compatible density, is obtained. The formula can be generalized for polynomials of several variables as well as on random point and vector fields.

UR - http://www.scopus.com/inward/record.url?scp=26844516163&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:26844516163

VL - 400

SP - 299

EP - 303

JO - ДОКЛАДЫ АКАДЕМИИ НАУК

JF - ДОКЛАДЫ АКАДЕМИИ НАУК

SN - 0869-5652

IS - 3

ER -

ID: 126290673