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Design theory

1989 Discrete Mathematics  
Tables Block designs Symmetric designs Abelian difference sets Small Steiner systems Series of Steinter systems Remark on t-designs with t 3 3 Orthogonal Latin squares APPLIED LINEAR ALGEBRA  ...  Asymptotic existence theory Preliminaries The existence of Steiner systems with t) in given residue classes The main theorem for Steiner systems S(2, k; u) The eventual periodic&y of closed sets  ... 
doi:10.1016/0012-365x(89)90278-1 fatcat:7q2q7kduingu7omzvsv6jgzv2a

Functional explanation in mathematics

Matthew Inglis, Juan Pablo Mejía-Ramos
2019 Synthese  
We therefore argue that the explanatory criteria offered by earlier accounts can all be thought of as features that make it more likely that a mathematical proof will generate understanding.  ...  On the functional account, features such as characterising properties, unification, and salience correlate with explanatoriness, but they do not define explanatoriness.  ...  Acknowledgements We are grateful to Brendan Larvor, Fenner Tanswell, and three anonymous reviewers for helpful comments on earlier drafts of this paper.  ... 
doi:10.1007/s11229-019-02234-5 fatcat:g56nvcaczfeshoai6cfytmwriu

Characterisation Results for Steiner Triple Systems and Their Application to Edge-Colourings of Cubic Graphs

Daniel Král', Edita Máčajová, Attila Pór, Jean-Sébastien Sereni
2009 Canadian Journal of Mathematics - Journal Canadien de Mathematiques  
To be more precise, a configuration C is formed by points and triples such that each pair of points is in at most one of the triples, and a Steiner triple system S contains C if hal-00487085, version 1  ...  The amount of results on Steiner triple systems is enormous and a separate monograph [2] on the topic has recently appeared. There are several prominent classes of Steiner triple systems.  ...  of Steiner triple systems, in particular, for pointing out the counting argument that C 14 is a forbidden configuration for projective Steiner triple systems.  ... 
doi:10.4153/cjm-2010-021-9 fatcat:oakejzqqwfgwnd243c2ajucox4

The Gilbert arborescence problem

M. G. Volz, M. Brazil, C. J. Ras, K. J. Swanepoel, D. A. Thomas
2012 Networks  
We characterise the local topological structure of Steiner points in MGAs, showing, in particular, that for a wide range of metrics, and for some typical real-world cost-functions, the degree of each Steiner  ...  The network may contain any finite number of additional unprescribed nodes from the space; these are known as the Steiner points.  ...  degree of Steiner points in Euclidean spaces (of arbitrary dimension) for a more general class of weight functions. given topology.  ... 
doi:10.1002/net.21475 fatcat:tgg3e35f2bexjcxuc6cdvimq2i

A viral system massive infection algorithm to solve the Steiner tree problem in graphs with medium terminal density

Pablo Cortes, Jose M. Garcia, Jesus Munuzuri, Jose Guadix
2010 International Journal of Bio-Inspired Computation (IJBIC)  
Here we present a new bio-inspired approach based on a biological virus infection called viral system (VS) that emulates a massive infection in an organism (representing a massive exploration of the feasibility  ...  The Steiner tree problem in graphs presents highest difficulties in case of graphs with a medium density of terminals.  ...  problem in a more general fashion.  ... 
doi:10.1504/ijbic.2010.032123 fatcat:mgnwbqyp4bhptlu5ftb65s2xqu

Page 1619 of Mathematical Reviews Vol. , Issue 90C [page]

1990 Mathematical Reviews  
Theorem: Every Steiner triple system S of order v, constructed according to the polygonal method, contains exactly one subsystem S; of order r (and hence exactly one hyperoval).” 90c:51014 51E20 51A40  ...  and a system of six planar ternary operations 7;.  ... 

A spectral characterisation of t-designs and its applications [article]

Eun-Kyung Cho, Cunsheng Ding, Jong Yoon Hyun
2018 arXiv   pre-print
The spectra of the characteristic functions of (n-2)/2-(n, n/2, 1) Steiner systems are determined and properties of such designs are proved.  ...  Another characterisation of t-designs by Delsarte and Seidel is also extended into a spectral one.  ...  Yan Zhu for providing the reference for Theorem 44 and helpful comments on T -designs and relative t-designs.  ... 
arXiv:1706.00180v3 fatcat:ju4czmw44rbc7mdh4oisrdh7ja

History and Diagnostic Significance of C-Peptide

Dietrich Brandenburg
2008 Experimental Diabetes Research  
Evidence for its active role in physiology and pathophysiology is more recent and is subject of the following contributions.  ...  After the first detection of C-peptide in human serum, it quickly became a most useful independent indicator of insulin biosynthesis and secretion, finding application in a rapidly growing number of clinical  ...  Biochemical investigations on the synthesis in in vitro systems, and isolation/characterisation from available sources.  ... 
doi:10.1155/2008/576862 pmid:18509495 pmcid:PMC2396242 fatcat:wcmcjunwsvaybauh34ffho3veq

Countable homogeneous Steiner triple systems avoiding specified subsystems [article]

Daniel Horsley, Bridget S. Webb
2020 arXiv   pre-print
The construction relies on a new embedding result: any finite partial Steiner triple system has an embedding into a finite Steiner triple system that contains no nontrivial proper subsystems that are not  ...  In this article we construct uncountably many new homogeneous locally finite Steiner triple systems of countably infinite order as Fraïssé limits of classes of finite Steiner triple systems avoiding certain  ...  Webb wishes to acknowledge the support of a 2014 Ethel Raybould Visiting Fellowship from the School of Physical Sciences, The University of Queensland.  ... 
arXiv:2006.04605v1 fatcat:wtyf7rs3uva53pqftdta6boaiu

Page 4108 of Mathematical Reviews Vol. , Issue 98G [page]

1998 Mathematical Reviews  
A number of constructions for generalized Steiner systems are given. The final section ends with eleven open problems for further research.  ...  An H(m,q,w,t) design which corresponds to a constant weight code with minimum Hamming distance at least | + 2(w — r) is called a generalized Steiner system GS(t,w,m,q).  ... 

How much evidence is in evidence-based policymaking: a case study of an expert group of the European Commission

Jean Philippe Pierre Décieux
2018 Evidence & Policy: A Journal of Research, Debate and Practice  
results, while the second group is considered more strategic and will generate legitimation.  ...  This is reflected by the use of expressions such as "black box" to characterise the expert groups' perspective on the decision-making process regarding modifications of the indicator system.  ... 
doi:10.1332/174426418x15337551315717 fatcat:djuhwe4nivh3jjppvy34mpgchi

Page 913 of Mathematical Reviews Vol. 45, Issue 4 [page]

1973 Mathematical Reviews  
generally, On the construction and characterisation of a class of | an automorphism similar to P. designs.  ...  Z. 125 (1972), 298-316. (| n—-1 n—-2 --- @ 41) © the indices in the = system, one obtains a Steiner triple system, in other words Mavron, Vassili C. a 4993b | the system admits the automorphism P or, more  ... 

A spectral characterisation of \begin{document}$ t $\end{document}-designs and its applications

Eun-Kyung Cho, Cunsheng Ding, Jong Yoon Hyun
2019 Advances in Mathematics of Communications  
The spectra of the characteristic functions of (n − 2)/2-(n, n/2, 1) Steiner systems are determined and properties of such designs are proved.  ...  Another characterisation of t-designs by Delsarte and Seidel is also extended into a spectral one.  ...  Yan Zhu for providing the reference for Theorem A.7 and helpful comments on T -designs and relative t-designs. The authors are grateful to the reviewers and Prof.  ... 
doi:10.3934/amc.2019030 fatcat:57q4rjouq5dbjgrm4mqcou6l5a

The influence of air pollution on moss-dwelling animals: 1. Aquatic fauna with emphasis on Nematoda and Tardigrada

W A Steiner
1994 Revue suisse de zoologie  
The influence of air pollution on moss-dwelling animals: 2. Aquatic fauna with emphasis on Nematoda and Tardigrada.  ...  -The effects of gaseous air pollutants on the moss-dwelling aquatic fauna were studied along an urban-rural gradient in the region of Zurich (Switzerland).  ...  Acknowledgements The present paper was part of a doctoral thesis. Realisation of this work was made possible by the support of Prof. V. Delucchi and the following taxonomists: Dr. E.  ... 
doi:10.5962/bhl.part.79925 fatcat:dlpbafnppffgjik6yaoqp5aiuu

Page 1767 of Mathematical Reviews Vol. 51, Issue 6 [page]

1976 Mathematical Reviews  
Turan, the author shows that in a Steiner triple system on 19 elements each disjoint pair of blocks is contained in at least 43 quadruples of disjoint blocks and in a Steiner triple system on 25 elements  ...  These counts of disjoint blocks in Steiner triple systems are the best yet obtained and represent a new application of a very early theorem of Connor [Ann. Math.  ... 
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