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We introduce numerical characteristics of Sylvester and Hadamard matrices and give their estimates and some of their applications.
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    •   4  
      MathematicsPure MathematicsLyapunov-Sylvester equationHadamard Transform
This research investigates the problem of robust resource allocation for a large class of systems operating on periodically updated data sets under an imposed quality of service (QoS) constraint. Such systems are expected to function in... more
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    •   17  
      Computer ScienceHeuristicsResource AllocationDistributed System
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In this lecture we give a self-contained introduction to the theory of lattices in Euclidean vector spaces. We reinterpret a large class of lattice basis reduction algorithms by using the concept of a "flag". In our reformulation, lattice... more
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      MathematicsLarge classesVector Space
This article develops a framework that combines the economics behind the structural modeling of sovereign credit risk, corporate capital structure, and the equilibrium modeling of international asset pricing. The default decisions of the... more
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    •   9  
      MathematicsPhysicsQuantum PhysicsQuantum Cosmology
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      MathematicsMathematical PhysicsPhysicsQuantum Mechanics
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    •   18  
      MathematicsApplied MathematicsEconomicsEconometrics
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    •   5  
      MathematicsPapersDiffusionNonlinear system
The paper presents a method, called the method of verification by invisible invariants, for the automatic verification of a large class of parameterized systems. The method is based on the automatic calculation of candidate inductive... more
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    •   7  
      Computer ScienceModel CheckingParameterized ComplexityLarge classes
A unified approach to analyzing search algorithms is presented. Each algorithm is characterized by the types of random problems that it can solve rapidly. The results are displayed in a way that clearly indicabes the strengths and... more
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    •   4  
      Computer ScienceSearch AlgorithmAsymptotic BehaviorStrengths and Weaknesses
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    •   10  
      Mechanical EngineeringMathematicsApplied MathematicsComputer Science
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      MathematicsInequality
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    •   10  
      Computer ScienceXMLQuery OptimizationRewriting
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    •   9  
      EngineeringMathematicsPhysicsMathematical Analysis
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    •   15  
      MathematicsPhysicsStatistical MechanicsStatistical Physics
This article presents a proposal for a didactic unit designed for young mid-lower class and lower-class adults, who live in a vulnerable community located in Porto Alegre. The didactic unit is part of a dissertation project, that aims at... more
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      HumanitiesDesenredo
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    •   12  
      Applied MathematicsCondensed Matter PhysicsCarbon NanotubeBoron Nitride
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      MathematicsAnalysis
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      Computer SciencePareto principle
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    •   20  
      MathematicsApplied MathematicsPhysicsGeneral Relativity
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    •   5  
      MathematicsGeneralizationConvex AnalysisConvexity
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      MathematicsBoundary Value Problem
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    •   15  
      MathematicsComputer ScienceTheoretical Computer SciencePure Mathematics
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      MathematicsApplied MathematicsPure MathematicsKinetic Theory
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    •   20  
      MathematicsApplied MathematicsPhysicsEnergy Conservation
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      MathematicsCurvature
Hindman and Leader first introduced the notion of Central sets near zero for dense subsemigroups of ((0,∞),+) and proved a powerful combinatorial theorem about such sets. Using the algebraic structure of the Stone-C̆ech compactification,... more
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    •   14  
      PsychologyCognitive PsychologyCognitive ScienceGame Theory
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      MathematicsBifurcations
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    •   18  
      MathematicsMathematical PhysicsPhysicsQuantum Physics
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      MathematicsMathematical PhysicsQuantum PhysicsPure Mathematics
A generalization of Arıkan's polar code construction using transformations of the form G ⊗n where G is an ℓ × ℓ matrix is considered. It is shown that a large class of such transformations polarize symmetric binary-input memoryless... more
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      MathematicsComputer ScienceBinary CodeGeneralization
Let D(n) be the maximal determinant for n × n {±1}-matrices, and R(n) = D(n)/n n/2 be the ratio of D(n) to the Hadamard upper bound. Using the probabilistic method, we prove new lower bounds on D(n) and R(n) in terms of d = nh, where h is... more
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      MathematicsComputer ScienceCombinatoricsHadamard Transform
This paper focuses on the relation between the fixed point property for continuous mappings and a discrete lion and man game played in a strongly convex domain. Our main result states that in locally compact geodesic spaces, the... more
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      MathematicsIsometric Exercise
Inclusion of negation into logic programs is considered traditionally to be painful as the incorporation of full logic negation tends to super-exponen tial time complexity of the prover. Therefore the alternative approaches to negation in... more
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      Logic ProgrammingPrologTime ComplexityConstraints
We study the rational homotopy types of classifying spaces of automorphism groups of smooth simply connected manifolds of dimension at least five. We give dg Lie algebra models for the homotopy automorphisms and the block diffeomorphisms... more
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      MathematicsLie AlgebraPure MathematicsCohomology
In this paper, we will start the discussion with the refinable generators of the shift invariant (SI) spaces in L 2 (R) that possess the largest possible regularities and required vanishing moments. For the pseudo-scaling generators, the... more
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      MathematicsApplied MathematicsPure MathematicsWavelet
We present here a wide class of generalized zeta function in terms of the generalized Möbius functions and its properties.
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    • Mathematics
The compactification from the 11-dimensional Horava-Witten orbifold to 5dimensional heterotic M-theory on a Schoen Calabi-Yau threefold is reviewed, as is the specific SU (4) vector bundle leading to the "heterotic standard model" in the... more
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Recent developments in macroeconomic theory emphasize that transient economic fluctuations can arise as responses to changes in long run factors-in particular, technological improvements-rather than short run factors. This contrasts with... more
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      EconomicsEconometricsProductivityLatin American Economic History
Income convergence across countries turns on whether technological knowledge spillovers are global or local. I estimate the amount of spillovers from R&D expenditures on a geographic basis, using a new data set which encompasses most of... more
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      EconomicsEconomic GeographyInternational TradeConvergence
A general formulation for the spectral noise S& of random linear resistor networks of arbitrary topology is given. General calculational methods based on Tellegen's theorem are illustrated for oneand two-probe configurations. For... more
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      PhysicsStatistical PhysicsMedicineMathematical Sciences
Darcy’s law is a spatial equation expressing the first-order theory of fluid filtration within a porous medium, stating that the filtration velocity w w is linearly related, through the permeability tensor k (function of fluid viscosity... more
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      MathematicsPressure Gradient
This article appeared in a journal published by Elsevier. The attached copy is furnished to the author for internal non-commercial research and education use, including for instruction at the authors institution and sharing with... more
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      EngineeringComputer ScienceGenetic AlgorithmsEngineering Applications
We investigate microlocal properties of partial differential operators with generalized functions as coefficients. The main result is an extension of a corresponding (microlocalized) distribution theoretic result on operators with smooth... more
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      MathematicsMicrolocal AnalysisMathematical AnalysisDifference and differential operators
Feedback problems consist of removing a minimal number ofvertices of a directed or undirected graph in order to make it acyclic. The problem is known to be NPcomplete. In this paper we consider the variant on undirected graphs. The... more
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      MathematicsApplied MathematicsComputer ScienceCombinatorics
As institutions of higher education turn more to online and remote learning, the ability of faculty to provide actionable feedback to students remains a critical responsibility of effective instructors. Based on a review of research on... more
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      Higher EducationOnline and Distance EducationFeedbackRemote Learning
We prove existence of finitely many ergodic equilibrium states for a large class of non-uniformly expanding local homeomorphisms on compact manifolds and Hölder continuous potentials with not very large oscillation. No Markov structure is... more
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      MathematicsApplied MathematicsMathematical PhysicsPure Mathematics