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A remark on the convergence of Betti numbers in the thermodynamic regime
Tập 9 - Trang 1-7 - 2017
The convergence of the expectations of Betti numbers of Čech complexes built on binomial point processes in the thermodynamic regime is established.
Non-separability of the Lipschitz distance
Tập 7 - Trang 1-7 - 2015
Let X be a compact metric space and
$\mathcal {M}_{X}$
be the set of isometry classes of compact metric spaces Y such that the Lipschitz distance d
L
(X,Y) is finite. We show that
......
An algorithm for general infinite horizon lot sizing with deterministic demand
Tập 9 - Trang 1-8 - 2017
We present an algorithm for solving an infinite horizon discrete time lot sizing problem with deterministic non-stationary demand and discounting of future cost. Besides non-negativity and finite supremum over infinite horizon, no restrictions are placed on single period demands. (In particular, they need not follow any cyclical pattern). Variable procurement cost, fixed ordering cost, and holding......
Thermodynamics of the binary symmetric channel
Tập 8 - Trang 1-9 - 2016
We study a hidden Markov process which is the result of a transmission of the binary symmetric Markov source over the memoryless binary symmetric channel. This process has been studied extensively in Information Theory and is often used as a benchmark case for the so-called denoising algorithms. Exploiting the link between this process and the 1D Random Field Ising Model (RFIM), we are able to ide......
Principle of ultrasonic tomography for concrete structures and non-destructive inspection of concrete cover for reinforcement
Tập 10 - Trang 1-10 - 2018
The authors are trying to develop an ultrasonic CT technique for concrete structures. As the first step of its development, we study how the ultrasonic waves propagate in concrete structures and pose a problem to develop ultrasonic CT, applying which we give a non-destructive inspection technique for concrete cover by application of the idea of the ultrasonic CT. The authors claim that this study ......