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More balanced ternary designs with block size four
Journal of Statistical Planning and Inference, 1987This paper gives necessary and sufficient conditions for the existence of balanced ternary designs with block size four and \(\Lambda =2\) in the cases \(\rho_ 2=3,4,5\) and 6; the cases \(\rho_ 2=1\) and 2 have appeared earlier.
Diane Donovan
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Construction of Balanced Incomplete Block Designs with Binary and Ternary Variance
2023Rajarathinam A
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Balanced ternary designs with block size three
Lecture Notes in Mathematics, 1980openaire +3 more sources
Discussiones Mathematicae Probability and Statistics, 2001
Summary: The paper studied the problem of estimation of the weights of \(p\) objects in \(n\) weighings using a chemical balance weighing design under restrictions on the number of objects which can be placed on the right and left pans, respectively. Conditions under which the estimated weights are uncorrelated are given.
Ambroży, Katarzyna, Ceranka, Bronisław
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Summary: The paper studied the problem of estimation of the weights of \(p\) objects in \(n\) weighings using a chemical balance weighing design under restrictions on the number of objects which can be placed on the right and left pans, respectively. Conditions under which the estimated weights are uncorrelated are given.
Ambroży, Katarzyna, Ceranka, Bronisław
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One and two-block configurations in balanced ternary designs
Ars Comb., 1998The paper concerns balanced ternary designs on \(v\) elements with blocks of size 3, where each pair of distinct elements is in two blocks. Furthermore, each element occurs singly in \(\rho _1\) blocks and doubly in \(\rho _2\) blocks. Every possible 2-block configuration corresponds to one of 11 templates, and the paper contains formulae that express ...
Margaret Ann Francel, Dinesh G. Sarvate
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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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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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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
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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
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The line structure of balanced ternary designs with block size three, index three and rho(2) = 1, 2
2000In 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.
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Design and Application of Memristive Balanced Ternary Univariate Logic Circuit
Micromachines, 2023Xiaoyuan Wang +2 more
exaly