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Binary vectors partially determined by linear equation systems

1997
*
Discrete Mathematics
*

We address problems of the general form: given a J-dimensional

doi:10.1016/s0012-365x(96)00068-4
fatcat:t5fbt2vnonavvmwpexu5kltxga
*binary*(0-or 1-valued)*vector*a, a*system*of E of*linear**equations*which a satisfies and a domain 3 C ~J which contains a, when is a the unique ... We investigate two particular choices for 3: the set of*binary**vectors*of length J (integral invariance) and the set of*vectors*in ~g whose components lie between 0 and 1 (fractional invariance). ... are not really concepts restricted to that topic, but in fact are just special instances of concepts associated with general*binary**vectors*satisfying*linear**equation**systems*. ...##
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Page 488 of Mathematical Reviews Vol. , Issue 85b
[page]

1985
*
Mathematical Reviews
*

A generalized

*partial*-normal solution of a*system*of*linear*alge- braic*equations*is introduced in the paper as a generalization of the normal solution of a*system*. ... Lee (Budapest) Purdy, George B. (1-TXAM) 85b: 15004 A*binary*algorithm for solving n*by*n*systems*of integer*equations*. Comput. Math. Appl. 9 (1983), no. 6, 715-719. ...##
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Discrete KP equation with self-consistent sources

2014
*
Physics Letters A
*

We show that the discrete Kadomtsev-Petviashvili (KP)

doi:10.1016/j.physleta.2014.04.021
fatcat:w3hzvhwjrzbffmbcswuqofnogi
*equation*with sources obtained recently*by*the "source generalization" method can be incorporated into the squared eigenfunction symmetry extension ... In this way we uncover the origin of the source terms as coming from multidimensional consistency of the Hirota*system*itself. ... R.L. was supported in part*by*National Natural Science Foundation of China (11171175, 11201477). ...##
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Optimal retrofit design for improving process flexibility in linear systems

1988
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Computers and Chemical Engineering
*

In this paper the problem of optimally redesigning an existing process to increase its flexibility is addressed A general strategy which first

doi:10.1016/0098-1354(88)80010-3
fatcat:kp3wpohkybabvbksyotsbbxvjm
*determines*the optimal parametric changes and then identifies ... For*linear*models basic analytical properties of flexibility are presented with which very efficient reduced LP and MILP formulations can be developed for parametric and structural modifications. ... Calculate X k*by*solving the*linear**system*of*equations*in (10h define p* as in (13). b. ...##
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Page 8502 of Mathematical Reviews Vol. , Issue 2002K
[page]

2002
*
Mathematical Reviews
*

Two other problems are investigated: Given a set of

*vectors*C,*determine*if C is the Hilbert basis for S, or if C is the Hilbert basis for any (unknown)*system*of homogeneous*linear**equations*. ... Let S be a homogeneous*linear**system*of Diophantine*equations*Ax = 0, where A is an integer matrix and solution*vectors*x are sought over nonnegative integers. ...##
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Symmetry properties of confined convective states

1992
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Zeitschrift für Angewandte Mathematik und Physik
*

Acknowledgments: This research was

doi:10.1007/bf00946238
fatcat:myiuljzylrcxpfgkoi6oxr7g5a
*partially*supported*by*the National Science Foundation and the Air Force Office of Scientific Research. ... Comments*by*Alain Pumir and Paul Kolodner are gratefully acknowledged. ... The reduction of a*system*of*partial*differential*equation*to a*system*of ordinary differential*equations**by*the use of center manifolds, Lyapunov-Schmidt techniques, etc. discards important aspects of ...##
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Page 2165 of Mathematical Reviews Vol. , Issue 98D
[page]

1998
*
Mathematical Reviews
*

(H-SZEG-AC; Szeged)

*Binary**vectors**partially**determined**by**linear**equation**systems*. (English summary) Discrete Math. 171 (1997), no. 1-3, 1-16. ... Summary: “We address problems of the general form: given a J-dimensional*binary*(0- or |-valued)*vector*a, a*system*E of*linear**equations*which a satisfies and a domain 9 C R’ which contains a, when is ...##
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The Uncertainty in Neutron Diffraction Results Caused by Solving Systems of Linear Equations to Compute the Partial Structural Features

2013
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Zeitschrift fur Naturforschung A-A Journal of Physical Sciences
*

The extraction of parameters from the series of measurements thus reduces to solving a

doi:10.5560/zna.2012-0103
fatcat:ksetoqs355e6lpjff2xqqvv5di
*system*of*linear**equations*that is affected*by*experimental errors. ... In order to reveal the solution structure, the*partial*radial distribution functions have to be*determined**by*using isotope substitution technique yielding different diffraction pattern while the structural ... Acknowledgements This work was supported*by*the Hungarian OTKA grant K83889. The authors thank Philipe A. Bopp for helpful discussion. ...##
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Self-Consistent Effective Binary Diffusion in Multicomponent Gas Mixtures

1990
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Journal of Non-Equilibrium Thermodynamics
*

The correct treatment of diffusion in multicomponent gas mixtures requires solution of a

doi:10.1515/jnet.1990.15.3.295
fatcat:4uagnocg45enbby7l77fy4ur4q
*linear**system*of*equations*for the diffusive mass fluxes relative to the mass-averaged velocity of the mixture. ... Multicomponent diffusion in gases Multicomponent diffusion in gases is governed*by*the*equations*[1] * ... This work was supported*by*the U.S. Department of Energy. Bibliography ...##
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On the resolution of bipolar max-min equations

2016
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Kybernetika (Praha)
*

max-min

doi:10.14736/kyb-2016-4-0514
fatcat:3fpglrr6jbh7pgjg2kpichutvy
*equations*can be characterized*by*a*system*of integer*linear*inequalities. ... Consequently, the*linear*optimization problem subject to a*system*of bipolar max-min*equations*can be solved*by*evaluating all those maximal and minimal solutions. ...##
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A connection between network coding and convolutional codes

2004
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2004 IEEE International Conference on Communications (IEEE Cat. No.04CH37577)
*

Multicast at rate can be achieved

doi:10.1109/icc.2004.1312584
dblp:conf/icc/FragouliS04
fatcat:atioow4w3zdp5d6w62ajfzcauu
*by**linear*coding, as was shown constructively*by*Li, Yueng, and Cai in [7] . ... An algebraic framework for network coding was developed*by*Koetter and Medard in [5] , who translated the network code design to an algebraic problem*by*deriving transfer matrices of size*determined**by*... Strict equivalence minimality coincides with the definition of minimality in control theory [8] , for*systems*described*by*discrete state-space*equations*. ...##
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Understanding the Relationship Between Observations and Stellar Parameters in an Eclipsing Binary System
[article]

2006
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arXiv
*
pre-print

We intend to apply an extension of this technique to asteroseismic measurements of Delta~Scuti stars that are members of eclipsing

arXiv:astro-ph/0605177v1
fatcat:uketpwt445dt5iovhrahrktr4q
*binary**systems*. ... To do this, we present a study involving the technique of Singular Value Decomposition using as a simple example a detached eclipsing*binary**system*. ... If the*system*or model were*linear*, this would be achieved relatively easy*by*solving a*system*of M*linear**equations*in N variables. ...##
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PARAMETRIC SYNTHESIS OF MODELS FOR MULTICRITERIAL ESTIMATION OF TECHNOLOGICAL SYSTEMS

2017
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Сучасний стан наукових досліджень та технологій в промисловості
*

parametric synthesis of models of TS multicriteria estimation enables covering all practically important situations of selection described

doi:10.30837/2522-9818.2017.2.005
fatcat:gosaxbzyqzbevpcehk336rizcy
*by**binary*relations of equivalence, strict, and nonstrict preferences ... not only*linear*, convex or concave, but also S (Z)-like dependencies on their values. ... In this case, for the*system*of preferences, which is described*by*the*binary*relation S R ( X ) , there is not a single*vector*of weight coefficients of*partial*criteria that meet the requirements of ...##
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Combinatorial Optimization of Matrix-Vector Multiplication in Finite Element Assembly

2009
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SIAM Journal on Scientific Computing
*

We improve the graph model

doi:10.1137/070704289
fatcat:brm4hf3xr5gqbiup2thoehwx2y
*by*extending the set of*binary*row relationships and solve this combinatorial optimization problem optimally for the*binary*row relationships implemented, yielding significantly ... It has been shown that combinatorial optimization of matrix-*vector*multiplication can lead to faster evaluation of finite element stiffness matrices. ... This research was made possible*by*DOE CSGF fellowship support, DE-FG02-97ER25308. ...##
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Revealing information with partial period correlations (extended abstract)
[chapter]

1993
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Lecture Notes in Computer Science
*

1 I n t r o d u c t i o n In several applications in modern communication

doi:10.1007/3-540-57332-1_23
fatcat:lpkexunfbvaobbiudqaq75d4aq
*systems*periodic*binary*sequences are employed that must be difficult for an adversary to*determine*when a short subsequence is ... This is true both in stream cypher*systems*, in which the*binary*sequence is used as a pseudo-one-time-pad [11] , and in secure spread spectrum*systems*, in which the sequence is used to spread a signal ... If dim{A, AC, B, BC} is less than four, then {AC, A, BC, B} satisfy a*linear**equation*. The quadratic*equation*satisfied*by*C can then be used to produce a second, independent*linear**equation*. ...
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