Results 201 to 210 of about 5,985 (229)

Counting balanced ternary designs

Ars Comb., 1998
The paper concerns balanced incomplete block 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 3-block configuration corresponds to one of 65 templates, and the paper contains formulae that
Margaret Ann Francel, David J. John
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A note on the relations between two ternary balanced block designs and chemical balance weighing designs

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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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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A new class of partially balanced ternary designs

1988
Construction of partially balanced ternary designs have been considered by \textit{S. Mehta, S. K. Agarwal} and \textit{A. K. Nigam}, Sankhya, Ser. B 37, 211-219 (1975; Zbl 0382.05013) and \textit{K. Sinha} and \textit{G. M. Saha}, Biom. J. 21, 767-772 (1979; Zbl 0424.62053). Here, a method of construction of these designs has been described.
PATWARDHAN, GA, SHARMA, S
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Note on parameters of balanced ternary designs

Australas. J Comb., 1995
In a balanced (binary) block design with constant block size (with the usual parameters \(v,k, \lambda\) fixed) the replication number \((r)\) must be constant. However, if \(v,r\) and \(\lambda\) are fixed, the block size does not have to be constant. \textit{W. D. Wallis} [Australas. J. Comb.
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Design of Memristor‐Based Balanced Ternary Full Adder

International Journal of Circuit Theory and Applications
ABSTRACT Balanced ternary digital logic circuits are designed based on memristors and applied to realize adder circuits, which can alleviate the Von Neumann architecture bottleneck and help extend Moore's Law. Four design methods are presented: decoder‐based method, multiplexer‐based method, method of combining multiplexers with ...
Xiao‐Yuan Wang, Chuan‐Tao Dong, Jiang‐Tao Huang, Hang Li, Herbert Ho‐Ching Iu, Sung‐Mo Kang   +5 more
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More balanced ternary designs with block size four

Journal of Statistical Planning and Inference, 1987
This 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.
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Balanced ternary designs from any \((v, b, r, k)\) design

Ars Comb., 1999
For a block of a \((v,b,r,k)\)-design consider sets of size \(v-1\) that contain the block. There are \(v-k\) such sets, and for each of them consider \(v-1\) multisets in which one point is counted twice. In this way one gets \(b(v-1)(v-k)=v(b-r)(v-1)\) multisets, and it turns out that when these multisets are regarded as blocks, they form a \((V,B,R ...
G. Ram Kherwa, Jagdish Prasad, Bhagwandas   +2 more
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Numbers of common triples in simple balanced ternary designs

Ars Comb., 1995
A balanced ternary design (BTD) with block size three is a collection of triples (called blocks) which are multisets chosen from a \(v\)-set, so that each triple contains either three distinct elements \(x\), \(y\), \(z\), or else contains two distinct elements, one of them repeated, such as \(\{x, x, y\}\), and such that each pair \(\{x, x\}\) occurs \
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Balanced ternary designs with holes and numbers of common triples

Australas. J Comb., 1993
A \((w;\rho_ 2;k,\lambda)\) balanced ternary design (BTD) on a \(w\)-set \(W\) with a hole of size \(v\) consists of a \(v\)-subset \(V\) of \(W\) (called the hole) together with a collection of \(k\)-submultisets of \(W\) (called blocks) such that each element in \(W\backslash V\) appears 0, 1, or 2 times in each block (precisely 2 times in \(\rho_ 2\)
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