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Probabilistic Analysis of the Multidimensional Knapsack Problem
Mathematics of Operations Research, 1989We analyse the multi-constraint zero-one knapsack problem, under the assumption that all coefficients are drawn from a uniform [0, 1] distribution and there are m = 0(1) constraints as the number of variables grows. We show that results on the single-constraint problem can be extended to this situation. Chiefly, we generalise a result of Lueker on the
Martin E. Dyer, Alan M. Frieze
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On a Multidimensional Boundary Value Problem
Differential Equations, 2005The author considers the existence of a solution for a nonlinear boundary value problem of the form \[ \ddot z_j+ \sum^m_{i=1} b_{ij}(z)\dot z_i\dot z_j= 0,\quad z_j(0)= 0,\quad z_j(1)= 1,\quad j= 1,\dots, m, \] with the additional condition \(0\leq z_j(s)\leq 1\), \(0\leq s\leq 1\), \(j= 1,\dots, m\), where the \(b_{ij}(z)\) are smooth scalar ...
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Privacy and securityA multidimensional problem
Communications of the ACM, 2008It's not just science or engineering that will be needed to address security concerns, but law, economics, anthropology, and more.
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Multidimensional investment problem
Mathematics and Financial Economics, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Christensen, Sören, Salminen, Paavo
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The Bitsadze Problem for a Multidimensional Hyperbolic Equation
Journal of Mathematical Sciences, 2019Summary: We prove the unique solvability of the Bitsadze problem for multidimensional hyperbolic equation.
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2011
As previously noted, the goal of the Holy Sites Project is to help facilitate and support the development of a legal regime to protect the sites separable from – though complementary to – the peace process as a whole. Our object is not to impose a solution to the problem of the holy sites. History amply demonstrates the futility of such an effort.
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As previously noted, the goal of the Holy Sites Project is to help facilitate and support the development of a legal regime to protect the sites separable from – though complementary to – the peace process as a whole. Our object is not to impose a solution to the problem of the holy sites. History amply demonstrates the futility of such an effort.
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MULTIDIMENSIONAL ASSIGNMENT PROBLEMS
Decision Sciences, 1988ABSTRACTEach of the many two‐dimensional variations of the classical assignment problem has at least one counterpart in higher dimensions. This paper is a tutorial on these higher dimensional assignment models and their applications. It is a synthesis of a vast literature scattered throughout a great variety of journal articles and other miscellaneous ...
Kenneth C. Gilbert, Ruth B. Hofstra
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Hele-Shaw Problems in Multidimensional Spaces
Journal of Nonlinear Science, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Multidimensional phase problems
Journal of the Optical Society of America A, 1996Uniqueness properties of phase problems in three or more dimensions are investigated. It is shown that an N-dimensional image is overdetermined by its continuous Fourier amplitude. A sampling of the Fourier amplitude, with a density approximately 22−N times the Nyquist density, is derived that is sufficient to uniquely determine an N-dimensional image.
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Ordinal classification in multidimensional problems
2009Experimental data with a specific and complicated experimental protocol are taken into account and elaborated. A critical review of the most important steps in the synthesis of multivariate responses and their main properties is considered.
ARBORETTI GIANCRISTOFARO, ROSA +2 more
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