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LINEAR LAYOUT OF GENERALIZED HYPERCUBES
International Journal of Foundations of Computer Science, 1994This paper deals with two kinds of generalized hypercubes: a d-dimensional c-ary clique [Formula: see text] and a d-dimensional c-ary array [Formula: see text]. A d-dimensional c-ary clique [Formula: see text] has nodes labeled by cdintegers from 0 to cd- 1 and two nodes are connected by an edge if and only if the c-ary representations of their labels ...
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Generating Linear Extensions Fast
SIAM Journal on Computing, 1994Summary: One of the most important sets associated with a poset \(\mathcal P\) is its set of linear extensions, \(E({\mathcal P})\). This paper presents an algorithm to generate all of the linear extensions of a poset in constant amortized time, that is, in time \(O(e({\mathcal P}))\), where \(e({\mathcal P})= | E({\mathcal P})|\).
Gara Pruesse, Frank Ruskey
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On the Linear Complexity of the Power Generator
Designs, Codes and Cryptography, 2001Let \(\vartheta, m\) and \(e\) be integers such that \(\text{gcd}(\vartheta,m) = 1\). Then one can define the sequence \((u_n)\) by \[ u_n \equiv u_{n-1}^e (\bmod m), \quad 0 \leq u_n \leq m-1, n = 1,2,\dots,\tag{pg} \] with the initial value \(u_0 = \vartheta\). This sequence is known as the power generator, and in the two special cases \(\text{gcd}(e,
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Linear Equality Constraints in the General Linear Mixed Model
Biometrics, 2001Scientists may wish to analyze correlated outcome data with constraints among the responses. For example, piecewise linear regression in a longitudinal data analysis can require use of a general linear mixed model combined with linear parameter constraints.
Edwards, Lloyd J. +3 more
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On Linear and Linearized Generalized Semi-Infinite Optimization Problems
Annals of Operations Research, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jan-J. Rückmann, Oliver Stein
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1978
In the two preceding chapters we have set forth, in some detail, the estimation of parameters and the properties of the resulting estimators in the context of the standard GLM. We recall that rather stringent assumptions were made relative to the error process and the explanatory variables.
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In the two preceding chapters we have set forth, in some detail, the estimation of parameters and the properties of the resulting estimators in the context of the standard GLM. We recall that rather stringent assumptions were made relative to the error process and the explanatory variables.
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Linear models for keystream generators
IEEE Transactions on Computers, 1996Consider a keystream generator (KSG) with \(M\) bits of memory. For dimensional reasons, there exists at least one linear function \(L\) of any \(M+1\) consecutive output bits that is not balanced. Under reasonable hypotheses, \(L\) is independent of time, so \(L\) (essentially an \(| M+1| \times 1\) matrix) is a function of the initial state vector ...
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Generalized Linear Complementarity Problems
Mathematics of Operations Research, 1995We introduce the concept of the generalized (monotone) linear complementarity problem (GLCP) in order to unify LP, convex QP, monotone LCP, and mixed monotone LCP. We establish the basic properties of GLCP and develop canonical forms for its representation. We show that the GLCP reduces to a monotone LCP in the same variables.
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JACKKNIFING THE GENERAL LINEAR MODEL
Australian Journal of Statistics, 1983SummaryThe aim of this paper is to investigate the problems of estimating a smooth function of the parameters in a general linear model and to clarify some of the points raised by Hinkley (1977) in connection with this problem. An example of the type of problem at hand is that of estimating the maximum (or minimum) mean value in a quadratic regression ...
Weber, N. C., Welsh, A. H.
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American Journal of Orthodontics and Dentofacial Orthopedics, 2023
Tomasz Burzykowski +3 more
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Tomasz Burzykowski +3 more
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