Evaluation of pairwise distances among orthogonal grid points in hypercube

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F17%3APU125073" target="_blank" >RIV/00216305:26110/17:PU125073 - isvavai.cz</a>

Result on the web

<a href="http://aip.scitation.org/doi/abs/10.1063/1.4992284?journalCode=apc" target="_blank" >http://aip.scitation.org/doi/abs/10.1063/1.4992284?journalCode=apc</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1063/1.4992284" target="_blank" >10.1063/1.4992284</a>

Result language

angličtina

Original language name

Evaluation of pairwise distances among orthogonal grid points in hypercube

Original language description

This article describes an effective evaluation of pairwise distances among points that form a regular orthogonal grid inside a unit hypercube. Such an regular arrangement of points have many applications one of which is the Design of Experiments – the arrangement is known as the Full Factorial Design. The proposed process of calculation exploits the repeated point projections. Using combinatorial rules, the paper presents a closed-form exact formula that enables faster evaluation of pairwise distances and their counts compared to naive approach that enumerates the list of all possible pairs of points.

Czech name

—

Czech description

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Type

D - Article in proceedings

CEP classification

—

OECD FORD branch

20102 - Construction engineering, Municipal and structural engineering

Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2017

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection

Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2016 (icnaam-2016)

ISBN

978-0-7354-1538-6

ISSN

—

e-ISSN

—

Number of pages

4

Pages from-to

1-4

Publisher name

AMER INST PHYSICS

Place of publication

Melville

Event location

Rhodos

Event date

Sep 19, 2016

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

000410159800132