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Metric Problems for Quadrics in Multidimensional Space. / Uteshev, Alexei Yu.; Yashina, Marina V.

2012. (arXiv).

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@misc{effca51169654ab1affb3768cf6295f9,
title = "Metric Problems for Quadrics in Multidimensional Space",
abstract = "Given the equations of the first and the second order surfaces in multidimensional space, our goal is to construct a univariate polynomial one of the zeros of which coincides with the square of the distance between these surfaces. To achieve this goal we employ Elimination Theory methods. The proposed approach is also extended for the case of parameter dependent surfaces.",
keywords = "Computer Science - Symbolic Computation, Mathematics - Algebraic Geometry, 68W30, 13P15, I.3.5, I.1.2, G.1.6",
author = "Uteshev, {Alexei Yu.} and Yashina, {Marina V.}",
year = "2012",
language = "English",
series = "arXiv",
type = "Other",

}

RIS

TY - GEN

T1 - Metric Problems for Quadrics in Multidimensional Space

AU - Uteshev, Alexei Yu.

AU - Yashina, Marina V.

PY - 2012

Y1 - 2012

N2 - Given the equations of the first and the second order surfaces in multidimensional space, our goal is to construct a univariate polynomial one of the zeros of which coincides with the square of the distance between these surfaces. To achieve this goal we employ Elimination Theory methods. The proposed approach is also extended for the case of parameter dependent surfaces.

AB - Given the equations of the first and the second order surfaces in multidimensional space, our goal is to construct a univariate polynomial one of the zeros of which coincides with the square of the distance between these surfaces. To achieve this goal we employ Elimination Theory methods. The proposed approach is also extended for the case of parameter dependent surfaces.

KW - Computer Science - Symbolic Computation

KW - Mathematics - Algebraic Geometry

KW - 68W30

KW - 13P15

KW - I.3.5

KW - I.1.2

KW - G.1.6

M3 - Other contribution

T3 - arXiv

ER -

ID: 28873133