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Numbers of common triples in simple balanced ternary designs
Ars Comb., 1995A 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., 1993A \((w;\rho_ 2;k,\lambda)\) 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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Design of optical reconfigurable balanced ternary arithmetic logic unit using MEMS based design
Optics Communications, 2015Abstract A new and novel design of microelectromechanical system (MEMS) based optical reconfigurable balanced ternary arithmetic logic unit (radix=3) has been proposed and described in this paper. We can get any logical and arithmetical function from the proposed design without changing the circuit design.
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Pairs of simple balanced ternary designs with prescribed numbers of triples in common
Australas. J Comb., 1992Summary: 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
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Measure of Rotatability for a Class of Balanced Ternary Design
Communications in Mathematics and Applications, 2022K. Rajyalakshmi, M. Varalakshmi
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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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MODIFIED ROTATABILITY FOR SECOND ORDER RESPONSE SURFACE DESIGNS USING BALANCED TERNARY DESIGNS
ShodhKosh: Journal of Visual and Performing ArtsIn 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 +4 more
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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 +1 more
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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 +1 more
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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 +2 more
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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 +2 more
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On the number of repeated triples in balanced ternary designs with index two
1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adams, P, Bryant, DE, Khodkar, A
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