Results 201 to 210 of about 5,289 (226)

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
openaire   +1 more source

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
openaire   +1 more source

Balanced ternary designs with holes and numbers of common triples [PDF]

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 \(\rho_ 2\)
openaire   +1 more source

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

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   +1 more source

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.
openaire   +3 more sources

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
openaire   +1 more source

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
openaire   +1 more source

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 \
openaire   +1 more source

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, P Jyostna, Sd Jilani, B Sulochana, K. N. R. Lakshmi   +4 more
openaire   +1 more source