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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. ...

##
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Consecutive Singular Cardinals and the Continuum Function

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*. ...

##
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Modeling and solving staff scheduling with partial weighted maxSAT

2017
*
Annals of Operations Research
*

Using our formulation we conduct a comparison of four different

doi:10.1007/s10479-017-2693-y
pmid:30880860
pmcid:PMC6394591
fatcat:ofmfpghs7bgexpsvjy74elv4ea
*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. ...##
###
Subtle cardinals and linear orderings

2001
*
Annals of Pure and Applied Logic
*

A Í [x+2,y) for

doi:10.1016/s0168-0072(00)00019-1
fatcat:ktu44hme25ezbpsbt64kwtx5qu
*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. ...##
###
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. ...##
###
Announcement

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

doi:10.1016/0168-0072(86)90027-8
fatcat:r7qblmmvnzdvjfg534p2d7jfqi
*on*finite structures Apter, A.W.,*Some**results**on**consecutive*...*large**cardinals*Ash, C.J. and J.W. ...##
###
On quadruples of consecutive $k$th power residues

1964
*
Proceedings of the American Mathematical Society
*

Now consider any four

doi:10.1090/s0002-9939-1964-0158855-2
fatcat:g4n4kqojprfnpni3kq4mih67fe
*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. ...##
###
Matching Dominating Sets of Direct Product Graphs of Cayley Graphs with Arithmetic Graphs

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

doi:10.5120/9735-3818
fatcat:fknpv2mqzbb4vpsz4qdwa5et3i
*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] . ...##
###
Patterns of quadratic residues and nonresidues for infinitely many primes

2007
*
Journal of Number Theory
*

For sets S of (essentially) small

doi:10.1016/j.jnt.2006.06.003
fatcat:jrcfykf3una2ho2rhcdhwcmmoe
*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*. ...##
###
An Unified Transition Detection Based on Bipartite Graph Matching Approach
[chapter]

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

doi:10.1007/978-3-642-16687-7_28
fatcat:mhxo43a26ncplhk6xll2ibwi64
*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. ...##
###
On the interpolation of integer-valued polynomials
[article]

2011
*
arXiv
*
pre-print

We show that answer is negative for the ring of Gaussian integers Z[i] when n is

arXiv:1108.3212v1
fatcat:3ebu6wxj6raszehjbirbo6zgny
*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. ...##
###
Consecutive expansions of -out-of- systems

2009
*
Operations Research Letters
*

We propose

doi:10.1016/j.orl.2009.09.004
fatcat:fuz7bl5awjey3bfzcgmj336ktq
*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. ...##
###
From cardinal spline wavelet bases to highly coherent dictionaries

2008
*
Journal of Physics A: Mathematical and Theoretical
*

The construction of wavelet bases for

doi:10.1088/1751-8113/41/17/172001
fatcat:cxwh2c7lm5c5das2cnaa6qcw3m
*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. ...##
###
To the question of restoring symbol sequences encoding noisy periodic functions

2021
*
Business Informatics
*

In business informatics,

doi:10.17323/2587-814x.2021.4.22.35
fatcat:w2qaazcxzvbr5hrf634pwiemdi
*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*. ...
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