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Pairs of simple balanced ternary designs with prescribed numbers of triples in common

Australas. J Comb., 1992
Summary: A balanced ternary design of order \(v\) with block size three, index 2 and \(\rho_ 2=1\) is a collection of multi-subsets of size 3 (of type \(\{x,y,z\}\) or \(\{x,x,y\})\) called blocks, in which each unordered pair of distinct elements occurs twice---possibly in one block---and in which each element is repeated in just one block.
Elizabeth J. Billington, D. G. Hoffman
openaire   +2 more sources

Measure of Rotatability for a Class of Balanced Ternary Design

Communications in Mathematics and Applications, 2022
K. Rajyalakshmi, M. Varalakshmi
openaire   +1 more source

MODIFIED ROTATABILITY FOR SECOND ORDER RESPONSE SURFACE DESIGNS USING BALANCED TERNARY DESIGNS

ShodhKosh: Journal of Visual and Performing Arts
In this article, following the methods constructions of Kanna et al. (2018) Varalakshmi and Rajyalakshmi (2020, 22), a new method of modified second order response surface designs using balanced ternary designs (BTD) is suggested. A few explanatory illustrations are also presented.
P Chiranjeevi   +4 more
openaire   +1 more source

Optimum Chemical Balance Weighing Designs Constructed from the Incidence Matrices of the Ternary Balanced Block Designs

2015
Zadanie pt. Digitalizacja i udostępnienie w Cyfrowym Repozytorium Uniwersytetu Łódzkiego kolekcji czasopism naukowych wydawanych przez Uniwersytet Łódzki nr 885/P-DUN/2014 zostało dofinansowane ze środków MNiSW w ramach działalności upowszechniającej naukę.
Ceranka, Bronisław   +1 more
openaire   +1 more source

The fine structure of balanced ternary designs with block size three, index three and \(\rho _2 = 1,2\)

Ars Comb., 2000
A \((v,\rho _2,k,l)\) balanced ternary design (BTD) is a \(v\)-set with multi-set blocks of size \(k\), where each element occurs at most two times in a block, each \(\{x,x\}\) is in \(\rho _2\) blocks and each \(\{x,y\}\), \(x \neq y\), is in \(\lambda \) blocks. By the fine structure of a BTD one understands a sequence \((c_1,c_2,\dots ,c_k)\), where
Peter Adams 0001   +2 more
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On the number of repeated triples in balanced ternary designs with index two

1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adams, P, Bryant, DE, Khodkar, A
openaire   +3 more sources

Optimum Chemical Balance Weighing Design with Correlated Errors Based on Bipartite and Ternary Designs

2015
The paper is studying the estimation problem of individual weights of objects using the chemical balance weighing design under the restriction on the number times in which each object is weighed. It is assumed that the errors have the same variances and they are equal correlated.
Ceranka, Bronisław   +1 more
openaire   +1 more source

The line structure of balanced ternary designs with block size three, index three and rho(2) = 1, 2

2000
In this paper necessary and sufficient conditions for a vector to be the fine structure of a balanced ternary design with block size 3, index 3 and rho(2) = 1 and 2 are determined with one unresolved case.
Adams, P., Bryant, D. E., Khodkar, A.
openaire   +2 more sources

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