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Page 2259 of Mathematical Reviews Vol. , Issue 85f [page]

1985 Mathematical Reviews  
Williams (Brisbane) Apter, Arthur W. (1-RTG2) Some results on consecutive large cardinals. Ann. Pure Appl. Logic 25 (1983), no. 1, 1-17.  ...  Some other results in the article extend facts proved in the last paper mentioned above.  ... 

Page 2117 of Mathematical Reviews Vol. , Issue 80F [page]

1980 Mathematical Reviews  
large cardinal hypothesis.  ...  In Sec- tion 3 we discuss compactness for regular cardinals and show some independence results; one of them, a part of which is due to A.  ... 

Consecutive Singular Cardinals and the Continuum Function

Arthur W. Apter, Brent Cody
2013 Notre Dame Journal of Formal Logic  
Some open questions concerning the continuum function in models of ZF with consecutive singular cardinals are posed.  ...  Additionally, we discuss a result in which we separate the lengths of sequences of distinct subsets of consecutive singular cardinals κ and κ^+ in a model of ZF.  ...  The results in this paper suggest the question as to whether one can prove an Easton theorem-like result, but for models of ZF with consecutive singular cardinals.  ... 
doi:10.1215/00294527-1960434 fatcat:43pnhzp3zzeejfrrbfsvlmh6li

Modeling and solving staff scheduling with partial weighted maxSAT

Emir Demirović, Nysret Musliu, Felix Winter
2017 Annals of Operations Research  
Using our formulation we conduct a comparison of four different cardinality constraint encodings and analyze their applicability on this problem.  ...  Additionally, we measure the performance of two leading solvers from the maxSAT evaluation 2015 in a series of benchmark experiments and compare their results to state of the art solutions.  ...  Some employees might for example be only allowed to work in certain shifts and patterns of consecutive working shifts might be prohibited or requested.  ... 
doi:10.1007/s10479-017-2693-y pmid:30880860 pmcid:PMC6394591 fatcat:ofmfpghs7bgexpsvjy74elv4ea

Subtle cardinals and linear orderings

Harvey M. Friedman
2001 Annals of Pure and Applied Logic  
A Í [x+2,y) for some C-interval [x,y). Define g(A) = F(x,y)(A).  ...  (A,<) has the following properties: i) |A| = l ³ w; ii) Every proper initial segment of A has cardinality < l and is not k-large; iii) Some tail of (A,<) is k-large.  ...  We say that l is k-RP if and only if for all f:S 2 (l) ® {0,1}, f is constant on some subset of l of cardinality l.  ... 
doi:10.1016/s0168-0072(00)00019-1 fatcat:ktu44hme25ezbpsbt64kwtx5qu

Page 5417 of Mathematical Reviews Vol. , Issue 87j [page]

1987 Mathematical Reviews  
A. da Costa (Sao Paulo) Apter, Arthur W. (1-RTG2) 87j:03073 Some results on consecutive large cardinals. II. Applications of Radin forcing. Israel J. Math. 52 (1985), no. 4, 273-292.  ...  It is devoted to exploring some large cardinal properties introduced by W.  ... 


D. van Dalen
1986 Annals of Pure and Applied Logic  
Ziegler, Quasi finitely axiomatizable totally categorical theories Ajtai, M., Isomorphism and higher order equivalence Ajtai, M., Xi-formulae on finite structures Apter, A.W., Some results on consecutive  ...  large cardinals Ash, C.J. and J.W.  ... 
doi:10.1016/0168-0072(86)90027-8 fatcat:r7qblmmvnzdvjfg534p2d7jfqi

On quadruples of consecutive $k$th power residues

R. L. Graham
1964 Proceedings of the American Mathematical Society  
Now consider any four consecutive positive integers all less than pn. It is clear that exactly one of these integers must equal 2(2¿ + l) for some integer d.  ...  The proof makes use of the following proposition which is a special case of a result of Kummer [l] (see also [3] ). Proposition.  ... 
doi:10.1090/s0002-9939-1964-0158855-2 fatcat:g4n4kqojprfnpni3kq4mih67fe

Matching Dominating Sets of Direct Product Graphs of Cayley Graphs with Arithmetic Graphs

S. UmaMaheswari, B. Maheswari, M. Manjuri
2012 International Journal of Computer Applications  
Hence . …………. (1) We know that (by Theorem 1.3.1) and let be a dominating set of with minimum cardinality, where are consecutive integers.  ...  This is one of many examples of the dichotomy between the structure of products and that of their subgraphs. For a detailed description on product graphs refer [3, 4] .  ... 
doi:10.5120/9735-3818 fatcat:fknpv2mqzbb4vpsz4qdwa5et3i

Patterns of quadratic residues and nonresidues for infinitely many primes

Steve Wright
2007 Journal of Number Theory  
For sets S of (essentially) small cardinality, we solve problem (2). Related results and some associated enumerative combinatorics are also discussed.  ...  On a different note, we also mention in passing a recent paper of Jiménez Calvo [7] that exhibits and analyzes some interesting geometric patterns that occur in certain graphical plots of large numbers  ...  Buell and Hudson [1] proved that for each ∈ Z + , runs of consecutive quadratic residues and consecutive quadratic nonresidues exist for all primes sufficiently large.  ... 
doi:10.1016/j.jnt.2006.06.003 fatcat:jrcfykf3una2ho2rhcdhwcmmoe

An Unified Transition Detection Based on Bipartite Graph Matching Approach [chapter]

Zenilton Kleber Gonçalves do Patrocínio, Silvio Jamil F. Guimarães, Henrique Batista da Silva, Kleber Jacques Ferreira de Souza
2010 Lecture Notes in Computer Science  
In this work, we propose an approach to cope with transition detection in which we define and use a new dissimilarity measure based on the size of the maximum cardinality matching calculated using a bipartite  ...  This paper addresses transition detection which consists in identifying the boundary between consecutive shots.  ...  Also, as one reexamines TRECVID 2006 groundtruth, he might have some doubts about some false positives detected by our method.  ... 
doi:10.1007/978-3-642-16687-7_28 fatcat:mhxo43a26ncplhk6xll2ibwi64

On the interpolation of integer-valued polynomials [article]

Fedor Petrov, Vladislav Volkov
2011 arXiv   pre-print
We show that answer is negative for the ring of Gaussian integers Z[i] when n is large enough.  ...  Let |M| be the cardinality of finite set M. For M ⊂ Z[i], α ∈ Z[i] \ 0, r ∈ Z[i] let us denote M(r mod α) := M ∩ (r + αZ[i]) . The main results are following: Theorem 1.  ...  There are no n-universal sets of cardinality n + 1 in Z[i] provided n is large enough. Let C = {c 1 , c 2 , . . . , c n+1 } be an n-universal set. Definition 1.  ... 
arXiv:1108.3212v1 fatcat:3ebu6wxj6raszehjbirbo6zgny

Consecutive expansions of -out-of- systems

Josep Freixas, María Albina Puente
2009 Operations Research Letters  
We propose some formulae to easily compute these measures and study the hierarchies induced for them for large systems.  ...  We introduce consecutive expansions of k-out-of-n systems, which have the property that components are totally ordered by the node criticality relation and with respect to well-known structural importance  ...  In this paper we study in depth the behavior of some basic structural importance measures for consecutive expansions of determined k-out-of-n systems.  ... 
doi:10.1016/j.orl.2009.09.004 fatcat:fuz7bl5awjey3bfzcgmj336ktq

From cardinal spline wavelet bases to highly coherent dictionaries

Miroslav Andrle, Laura Rebollo-Neira
2008 Journal of Physics A: Mathematical and Theoretical  
The construction of wavelet bases for cardinal spline spaces is generally carried out within the multi-resolution analysis scheme.  ...  We show here that, when working on a compact interval, the identical effect can be achieved without changing the wavelet scale but reducing the translation parameter.  ...  This result can be used for building a large variety of wavelet dictionaries for the identical space.  ... 
doi:10.1088/1751-8113/41/17/172001 fatcat:cxwh2c7lm5c5das2cnaa6qcw3m

To the question of restoring symbol sequences encoding noisy periodic functions

Galina Zhukova, Mikhail Ulyanov
2021 Business Informatics  
In business informatics, one of the research subjects is the analysis of data on processes in applied subject areas; here problems of qualitative analysis arise.  ...  To encode trigonometric functions, alphabets of various cardinalities are used.  ...  on the results.  ... 
doi:10.17323/2587-814x.2021.4.22.35 fatcat:w2qaazcxzvbr5hrf634pwiemdi
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