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Design and construction of a balanced ternary ALU with potential future cybernetic intelligent systems applications

2012 IEEE 11th International Conference on Cybernetic Intelligent Systems (CIS), 2012
Central to the operation of any future cybernetic intelligent system based on digital principles is the method of representation of individual states in the system, together with the fundamental operations for moving from one state to the next. All modern computer systems on which these cybernetic systems are based have the binary representational ...
exaly   +2 more sources

CONSTRUCTION OF BALANCED TERNARY DESIGNS

Australian Journal of Statistics, 1986
SummaryIn this paper variance balanced ternary designs are constructed in unequal block sizes for situations when suitable BIB designs do not exist for a given number of treatments because of the constraints bk=vr,and λ(v ‐ 1) =r(k‐ 1).
Agarwal, G. G., Kumar, Sanjay
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Topics in balanced ternary designs [PDF]

open access: possible, 2015
In this thesis, we investigate the properties of balanced ternary designs.We begin with a survey of the literature on balanced n-ary designs, of which balanced ternary designs are a special case. This provides a setting for our research as well as the necessary background information.Our main objective is to establish new existence and enumeration ...
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Some Constructions of Partially Balanced Ternary Design *

Calcutta Statistical Association Bulletin, 1990
This paper gives some constructions of Partially Balanced Ternary (PBT) designs, starting from a given linked block design.
Bhagwandas, Meitei, Singh, K. K.
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Topics in balanced ternary designs

Bulletin of the Australian Mathematical Society, 1988
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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.   +2 more
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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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Note on parameters of balanced ternary designs [PDF]

open access: possibleAustralas. 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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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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