Results 191 to 200 of about 5,289 (226)
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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 ...
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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 ...
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Construction of Balanced Incomplete Block Designs with Binary and Ternary Variance
2023Rajarathinam A
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CONSTRUCTION OF BALANCED TERNARY DESIGNS
Australian Journal of Statistics, 1986SummaryIn 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]
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, 1990This 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, 1988zbMATH 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, 1993A \(\text{BTD}(v,\rho_ 2,4,\lambda)\) 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., 1998The 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]
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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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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