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Page 6978 of Mathematical Reviews Vol. , Issue 96k
[page]
1996
Mathematical Reviews
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Additivity is the prop- erty of the equivalence of the satisfaction of a set of functional dependencies (FDs), F, with the individual satisfaction of each member of F in an incomplete relation. ...
in incomplete relations. ...
Remarks on Lattice Gauge Fixing
[article]
1999
arXiv
pre-print
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In this talk I briefly comment on the conventional lattice gauge fixing adopting a critical, even though constructive, numerical point of view. ...
A µ (x) . . . = C(g 0 ) . (10) This relation has been checked numerically on the lattice by measuring a set of Green functions related to the gluon propagator for SU(3) in the Landau gauge with periodic ...
From a numerical point of a view the values of a gauge dependent operators strongly fluctuate around zero if the gauge has not been fixed. ...
arXiv:hep-lat/9912037v1
fatcat:q7rchi3x2zdddothlnkbsj2eg4
Incomplete Information: Structure, Inference, Complexity
2006
Studia Logica: An International Journal for Symbolic Logic
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With respect to indiscernibility relations dependency relations resembling functional dependencies in relational databases and implications in formal concept analysis may be defined. ...
The idea is that in many situations our knowledge of objects is incomplete, and it can be viewed as being restricted by some indiscernibility relations. ...
With respect to indiscernibility relations dependency relations resembling functional dependencies in relational databases and implications in formal concept analysis may be defined. ...
doi:10.1007/s11225-006-9018-5
fatcat:et7azj3uhrfhjm6vacixqamfne
Page 3192 of Mathematical Reviews Vol. , Issue 98E
[page]
1998
Mathematical Reviews
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A func- tional dependency (FD) is weakly satisfied in an incomplete rela- tion if there exists a possible world of this relation in which the FD is satisfied in the standard way. ...
for either of the two measures.”
98e:68047 68P15
Levene, Mark (4-LNDUC-C; London);
Loizou, George (4-LNDBK-C; London)
The additivity problem for functional dependencies in incomplete relations. ...
Remarks on Lattice Gauge Fixing
[chapter]
2000
Lattice Fermions and Structure of the Vacuum
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In this talk I briefly comment on the conventional lattice gauge fixing adopting a critical, even though constructive, numerical point of view. ...
A µ (x) . . . = C(g 0 ) . (10) This relation has been checked numerically on the lattice by measuring a set of Green functions related to the gluon propagator for SU (3) in the Landau gauge with periodic ...
From a numerical point of a view the values of a gauge dependent operators strongly fluctuate around zero if the gauge has not been fixed. ...
doi:10.1007/978-94-011-4124-6_23
fatcat:whxv7ryvyjhqvj4etievlzsnfq
Concept lattices and conceptual knowledge systems
1992
Computers and Mathematics with Applications
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First, basics on concept lattices are explained startin8 from simple data contexts which consist of a binary relation between objects and attrlbutet indicating which object has which attribute. ...
Abstracts"Concept Lattice" is the central notion of aFormal Concept Analysis," a new area of research which is ba~ed on a set-theoreticed model for concepts and conceptual hierarchies. ...
The small concept lattice in Figure 12 indicates that there is a large number of functional dependencies in the many-valued context of Figure 7 . ...
doi:10.1016/0898-1221(92)90120-7
fatcat:2zig5fo3zrgytbuihhzvs44iry
Supporting Software Variability by Reusing Generic Incomplete Models at the Requirements Specification Stage
[chapter]
2004
Lecture Notes in Computer Science
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Selecting components that satisfy a given set of requirements is a key problem in software reuse, especially in reusing between different domains of functionality. ...
In this paper, we define generic incomplete specifications, to introduce an explicit source of variability that allows reusing models across different domains, accommodating them to operate in multiple ...
AE ½ Å Ì ½ Ì ½ (1) Our proposal in this paper is to organize the repository in a single lattice of generic components, using the Å Ì ½ relations. ...
doi:10.1007/978-3-540-27799-6_1
fatcat:ma2sxfsnhvabbhhzdde6ucp37i
Page 235 of Mathematical Reviews Vol. 6, Issue 9
[page]
1945
Mathematical Reviews
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The elimination of the effects of acci-
235
‘Cornish, E. A. The recovery of inter-block information in quasi-factorial designs with incomplete data. I. Square, triple, and cubic lattices. ...
The view taken is that the problem of rational behavior cannot be regarded as a simple maximum problem, but is of a type that arises in the theory of games of strategy. ...
Concept analysis for product line requirements
2009
Proceedings of the 8th ACM international conference on Aspect-oriented software development - AOSD '09
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We take advantage of both symmetric and asymmetric views of aspects, and perform formal concept analysis to examine the functional and quality requirements of an evolving product line. ...
The resulting concept lattice provides a rich notion which allows remarkable insights into the modularity and interactions of requirements. ...
We also thank John Mylopoulos and Krzysztof Czarnecki for careful comments on earlier drafts of this paper. Funding was provided by NSERC. ...
doi:10.1145/1509239.1509259
dblp:conf/aosd/NiuE09
fatcat:nmbx563kxvawzfgl7txvy5lx5m
Gravitational and Quantum Effects in Neuron Function
2016
Journal of Life Sciences
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Such a density-matrix description can be viewed as a probability mixture of different wave-functions. ...
But for a more precise equation in relation to the stress-energy tensor, we know that in a non-zero temperature, the wave-function is not enough to describe the physical reality. ...
Penrose, in 2014 argued that some conscious features such as understanding are not algorithmic computable and this incompleteness relates to the incomplete laws of physics at the scale of the brain which ...
doi:10.17265/1934-7391/2016.06.002
fatcat:4l4cag7g5vchzhns42trfs2jxq
Page 1404 of Mathematical Reviews Vol. , Issue 99b
[page]
1991
Mathematical Reviews
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Summary: “Given a preference relation defined on a subset of a Banach lattice, satisfying the usual properties and an additional assumption of no-discrimination, we construct a smooth function that can ...
of view. ...
Mimicking Complexity of Structured Data Matrix's Information Content: Categorical Exploratory Data Analysis
2021
Entropy
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For the social justice of Artificial Intelligence (AI) products, it checks whether a data matrix incompletely prescribes the targeted system. ...
Higher-order structural dependency of k(≥3) features is exhibited through block patterns within heatmaps that are constructed by permuting contingency-kD-lattices of counts. ...
Conflicts of Interest: The authors declare no conflict of interest. ...
doi:10.3390/e23050594
pmid:34064857
pmcid:PMC8151017
fatcat:7bjdbbjemnhq5jb7noajsxxehm
Stationary-state electronic distribution in quantum dots
2005
Physica. E, Low-Dimensional systems and nanostructures
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2005 pre-print arXiv:cond-mat/0502579v1 fatcat:xbplrftxyjejhb4skceeg5t5bm
We wish to draw an attention to a non-gibbsian behavior of zero-dimensional semiconductor nanostructures, which appears to be manifested in experiments by an effect of incomplete depopulation from electronic ...
In the present work the effect is interpreted with help of electron-LO-phonon interaction, which is supposed to play a role in these structures in the form of multiple-scattering of electron on the optical ...
lattice of the nanostructure, making the environment, in which a charge-carrier moves, to be a system with non-conservative property from energy point of view. ...
doi:10.1016/j.physe.2005.05.032
fatcat:k34izdedy5gehee7sa2etqtt7e
Towards declarative comparabilities: application to functional dependencies
[article]
2021
arXiv
pre-print
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This function maps each pair of the attribute's domain to a truth value in a truth lattice. Then, we associate a lattice of comparabilities to every relation, comparing pairwise its tuples. ...
Thus, we introduce a lattice-based declarative framework to cope with this issue. First, we assign a comparability function to each attribute of the relation scheme. ...
It offers a new point of view on FDs in presence of incomplete information. ...
arXiv:1909.12656v3
fatcat:l2r7fujcgbbehkuvsg7cuijqby
Memoir on the Theory of the Partitions of Numbers. Part V: Partitions in Two-Dimensional Space
1912
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
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(mn) in order to establish relations between the functions GF (l, 71) and the sub-lattice functions Ls( 00, m, n).The relation, as it stands, exhibits GF ( , , n) as a l function of the sub-lattice functions ...
I seek a representation of the lattice function that shall be a constant reminder of this enumerating function, and with this object in view I write the latter in the form where the algebraic fraction ...
j8 \ which have s dividing lines, is the coefficient of X*o in the expansion of the product (a + \fi)p (a + /3)?. ...
doi:10.1098/rsta.1912.0003
fatcat:3pzyxi5a7vbtngyl3rrjpjvsmu
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