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Binary vectors partially determined by linear equation systems

R. Aharoni, G.T. Herman, A. Kuba
1997 Discrete Mathematics  
We address problems of the general form: given a J-dimensional 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.  ... 
doi:10.1016/s0012-365x(96)00068-4 fatcat:t5fbt2vnonavvmwpexu5kltxga

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.  ... 

Discrete KP equation with self-consistent sources

Adam Doliwa, Runliang Lin
2014 Physics Letters A  
We show that the discrete Kadomtsev-Petviashvili (KP) 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).  ... 
doi:10.1016/j.physleta.2014.04.021 fatcat:w3hzvhwjrzbffmbcswuqofnogi

Optimal retrofit design for improving process flexibility in linear systems

E.N. Pistikopoulos, I.E. Grossmann
1988 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 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.  ... 
doi:10.1016/0098-1354(88)80010-3 fatcat:kp3wpohkybabvbksyotsbbxvjm

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.  ... 

Symmetry properties of confined convective states

John Guckenheimer
1992 Zeitschrift für Angewandte Mathematik und Physik  
Acknowledgments: This research was 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  ... 
doi:10.1007/bf00946238 fatcat:myiuljzylrcxpfgkoi6oxr7g5a

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  ... 

The Uncertainty in Neutron Diffraction Results Caused by Solving Systems of Linear Equations to Compute the Partial Structural Features

Imre Bakó, Tamás Grósz, Szabolcs Bálint, Gábor Pálinkásc
2013 Zeitschrift fur Naturforschung A-A Journal of Physical Sciences  
The extraction of parameters from the series of measurements thus reduces to solving a 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.  ... 
doi:10.5560/zna.2012-0103 fatcat:ksetoqs355e6lpjff2xqqvv5di

Self-Consistent Effective Binary Diffusion in Multicomponent Gas Mixtures

J. D. Ramshaw
1990 Journal of Non-Equilibrium Thermodynamics  
The correct treatment of diffusion in multicomponent gas mixtures requires solution of a 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  ... 
doi:10.1515/jnet.1990.15.3.295 fatcat:4uagnocg45enbby7l77fy4ur4q

On the resolution of bipolar max-min equations

Pingke Li, Qingwei Jin
2016 Kybernetika (Praha)  
max-min 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.  ... 
doi:10.14736/kyb-2016-4-0514 fatcat:3fpglrr6jbh7pgjg2kpichutvy

A connection between network coding and convolutional codes

C. Fragouli, E. Soljanin
2004 2004 IEEE International Conference on Communications (IEEE Cat. No.04CH37577)  
Multicast at rate can be achieved 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.  ... 
doi:10.1109/icc.2004.1312584 dblp:conf/icc/FragouliS04 fatcat:atioow4w3zdp5d6w62ajfzcauu

Understanding the Relationship Between Observations and Stellar Parameters in an Eclipsing Binary System [article]

O.L Creevey, T.M. Brown, S. Jiménez-Reyes, J.A. Belmonte
2006 arXiv   pre-print
We intend to apply an extension of this technique to asteroseismic measurements of Delta~Scuti stars that are members of eclipsing 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.  ... 
arXiv:astro-ph/0605177v1 fatcat:uketpwt445dt5iovhrahrktr4q


Vladimir Beskorovainyi
2017 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 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  ... 
doi:10.30837/2522-9818.2017.2.005 fatcat:gosaxbzyqzbevpcehk336rizcy

Combinatorial Optimization of Matrix-Vector Multiplication in Finite Element Assembly

Michael M. Wolf, Michael T. Heath
2009 SIAM Journal on Scientific Computing  
We improve the graph model 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.  ... 
doi:10.1137/070704289 fatcat:brm4hf3xr5gqbiup2thoehwx2y

Revealing information with partial period correlations (extended abstract) [chapter]

Andrew Klapper, Mark Goresky
1993 Lecture Notes in Computer Science  
1 I n t r o d u c t i o n In several applications in modern communication 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.  ... 
doi:10.1007/3-540-57332-1_23 fatcat:lpkexunfbvaobbiudqaq75d4aq
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