21 Result(s)
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Chapter and Conference Paper
Non-geometric Convergence of the Classical Alternating Schwarz Method
In error form, the alternating Schwarz method for the solution to (1) is
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Chapter and Conference Paper
V.N. Sudakov’s Work on Expected Suprema of Gaussian Processes
It is noted that the late Volodya N. Sudakov (1934–2016) first published a statement in 1973 and proof in 1976 that the expected supremum of a centered Gaussian process is bounded above by a constant times a m...
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Chapter and Conference Paper
A Parametric Study of Mixing in a Granular Flow a Biaxial Spherical Tumbler
We report on a computational parameter space study of mixing protocols for a half-full biaxial spherical granular tumbler. The quality of mixing is quantified via the intensity of segregation (concentration va...
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Chapter and Conference Paper
Computation Versus Formulae for Norms of Elementary Operators
A long-standing problem was to find a formula for the norm of an elementary operator acting on a C*-algebra (or a matrix algebra). As with the best problems, the problem was quick to explain, although there was n...
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Chapter and Conference Paper
Numerical Simulation of Electric Field Gradient Focusing and Separation of Analytes in Microchannels with Embedded Bipolar Electrode
A new method for simultaneously concentrating and separating analytes in a microfluidic channel with embedded floating electrode is proposed. The complex interplay of electrophoretic, electroosmotic, bulk conv...
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Chapter and Conference Paper
Context-Sensitive Decision Problems in Groups
There already exist classifications of those groups which have regular, context-free or recursively enumerable word problem. The only remaining step in the Chomsky hierarchy is to consider those groups with a ...
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Chapter and Conference Paper
The Role of Experimental Algorithms in Genomics
Biology has become a computational science. In their efforts to understand the functioning of cells at a molecular level, biologists make use of a growing array of databases that codify knowledge about genomes...
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Chapter and Conference Paper
Flat systems: open problems, infinite dimensional extension, symmetries and catalog
This chapter is devoted to open problems and new perspectives on flat systems, including developments on symmetries and distributed parameters systems based on examples of physical interest. It contains a repr...
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Chapter and Conference Paper
Flat systems, equivalence and feedback
Flat systems, an important subclass of nonlinear control systems introduced via differential-algebraic methods, are defined in a differential geometric framework. We utilize the infinite dimensional geometry deve...
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Chapter and Conference Paper
Consistency of M-Estimators and One-Sided Bracketing
Some facts in empirical process theory are based on brackets of functions, defined by [f, h] := g : f ≤ g ≤ h. For minimization problems arising in M-estimation it is shown that one can use one-sided brackets [f,...
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Chapter and Conference Paper
The Sensitivity Analysis of “Inexact” Multicriteria Decisions
We elaborate a view of sensitivity analysis as a decision analysis activity. Our two main results concern: 1) a formal concept of “inexact” riskless preference; and 2) illustrative mathematical optimization pr...
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Chapter and Conference Paper
Variational theory for the total scalar curvature functional for riemannian metrics and related topics
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Chapter and Conference Paper
Geometer: A theorem prover for algebraic geometry
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Chapter and Conference Paper
Brownian motion on hypersurfaces and computer simulation
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Chapter and Conference Paper
Slepian's inequality and commuting semigroups
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Chapter and Conference Paper
An Algorithm for Reconstruction of Count Rate Curves from Total Counts
Dynamic studies with radioactive tracers require measurements of instantaneous tracer activity X(t) as a function of time; this is usually done either with a counter set for a sequence of short intervals of ti...
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Chapter and Conference Paper
Analytic Aspects of the Harmonic Map Problem
A fundamental nonlinear object in differential geometry is a map between manifolds. If the manifolds have Riemannian metrics, then it is natural to choose representaives for maps which respect the metric struc...
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Chapter and Conference Paper
Mathematical Methods in The Formulation of Pharmacokinetic Models
The first quantitative analysis in pharmacokinetics was made by Widmark (1), who studied both theoretically and experimentally the kinetics of distribution of several narcotics, in particlar acetone. He studie...
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Chapter and Conference Paper
Two examples concerning uniform convergence of measures w.r.t. balls in Banach spaces
Two examples show that certain uniform convergence properties related to the Glivenko-Cantelli theorem — properties which are known to hold in Euclidean spaces — need not hold in general Banach spaces.
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Chapter and Conference Paper
Compact polynomials and compact differentiable map**s between Banach spaces
