Results 181 to 190 of about 10,504,820 (201)

Balanced ternary designs with block size four

Journal of Statistical Planning and Inference, 1993
A \(\text{BTD}(v,\rho_ 2,4,\lambda)\) is a balanced ternary design such that \(k=4\) and each element occurs two times in \(\rho_ 2\) blocks (and, of course, each pair of distinct elements occurs \(\lambda\) times in a block). A necessary existence condition for such a BTD is: if \(\lambda=2\) then \(v \geq 5 \rho_ 2+1\), if \(\lambda=3\) then \(v \geq
Billington, Elizabeth J., Khodkar, A., Mahmoodian, E. S.   +2 more
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A note on the relations between two ternary balanced block designs and chemical balance weighing designs [PDF]

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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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   +3 more sources

Design and Application of Memristive Balanced Ternary Univariate Logic Circuit

Micromachines, 2023
This paper proposes a unique memristor-based design scheme for a balanced ternary digital logic circuit. First, a design method of a single-variable logic function circuit is proposed.
Shimul Kanti Nath, Xiaoyuan Wang
exaly   +2 more sources

Construction of Balanced Incomplete Block Designs with Binary and Ternary Variance

2023
openaire   +3 more sources

Balanced ternary designs with block size three

Lecture Notes in Mathematics, 1980
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Enumeration of balanced ternary designs [PDF]

Discrete Applied Mathematics, 2004
A (V,B;ρ1,ρ2,R;K,Λ) balanced ternary design is a pair (V,B), where V is a V-set of points and B is a collection of B K-multisubsets of V called blocks, such that each point appears R times in the blocks and no block contains a point with ...
Petteri Kaski
exaly   +2 more sources

One and two-block configurations in balanced ternary designs

Ars Comb., 1998
The 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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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, Darryn E. Bryant, Abdollah Khodkar   +2 more
openaire   +2 more sources

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, Graczyk, Małgorzata   +1 more
openaire   +1 more source