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Page 6978 of Mathematical Reviews Vol. , Issue 96k
[page]

1996
*
Mathematical Reviews
*

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

*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. ...

##
###
Incomplete Information: Structure, Inference, Complexity

2006
*
Studia Logica: An International Journal for Symbolic Logic
*

With respect to indiscernibility

doi:10.1007/s11225-006-9018-5
fatcat:et7azj3uhrfhjm6vacixqamfne
*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. ...##
###
Page 3192 of Mathematical Reviews Vol. , Issue 98E
[page]

1998
*
Mathematical Reviews
*

*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
*

*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. ...

##
###
Concept lattices and conceptual knowledge systems

1992
*
Computers and Mathematics with Applications
*

First, basics on concept

doi:10.1016/0898-1221(92)90120-7
fatcat:2zig5fo3zrgytbuihhzvs44iry
*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 . ...##
###
Supporting Software Variability by Reusing Generic Incomplete Models at the Requirements Specification Stage
[chapter]

2004
*
Lecture Notes in Computer Science
*

Selecting components that satisfy

doi:10.1007/978-3-540-27799-6_1
fatcat:ma2sxfsnhvabbhhzdde6ucp37i
*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*. ...##
###
Page 235 of Mathematical Reviews Vol. 6, Issue 9
[page]

1945
*
Mathematical Reviews
*

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
*

We take advantage

doi:10.1145/1509239.1509259
dblp:conf/aosd/NiuE09
fatcat:nmbx563kxvawzfgl7txvy5lx5m
*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. ...##
###
Gravitational and Quantum Effects in Neuron Function

2016
*
Journal of Life Sciences
*

Such

doi:10.17265/1934-7391/2016.06.002
fatcat:4l4cag7g5vchzhns42trfs2jxq
*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 ...##
###
Page 1404 of Mathematical Reviews Vol. , Issue 99b
[page]

1991
*
Mathematical Reviews
*

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
*

For the social justice

doi:10.3390/e23050594
pmid:34064857
pmcid:PMC8151017
fatcat:7bjdbbjemnhq5jb7noajsxxehm
*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. ...##
###
Stationary-state electronic distribution in quantum dots

2005
*
Physica. E, Low-Dimensional systems and nanostructures
*

We wish to draw an attention to

doi:10.1016/j.physe.2005.05.032
fatcat:k34izdedy5gehee7sa2etqtt7e
*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*. ...##
###
Towards declarative comparabilities: application to functional dependencies
[article]

2021
*
arXiv
*
pre-print

This

arXiv:1909.12656v3
fatcat:l2r7fujcgbbehkuvsg7cuijqby
*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. ...##
###
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
*

(mn)

doi:10.1098/rsta.1912.0003
fatcat:3pzyxi5a7vbtngyl3rrjpjvsmu
*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)?. ...
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