Results 81 to 90 of about 1,589,926 (279)
Cauchy sequences in semimetric spaces [PDF]
Proceedings of the American Mathematical Society, 1972 As the main result we prove that every semimetrizable space has a semimetric for which every convergent sequence has a Cauchy subsequence. This result is used to show that a T
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Asian Journal of Control, EarlyView.ABSTRACT The synchronization accuracy between the wafer stage and reticle stage in lithography is critical to overlay and critical dimension uniformity. Existing iterative learning control (ILC) methods indirectly optimize synchronization via time‐domain errors, failing to balance low‐frequency tracking accuracy and high‐frequency noise suppression ...
Xin Zhou +4 more
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Carbon Energy, EarlyView.ABSTRACT Silicon anodes, with a theoretical capacity of ~ $\unicode{x0007E}$3860 mAh g−1, offer more than ten times the lithium storage of graphite but suffer from large volume expansion during lithiation, leading to particle fracture, electrical disconnection, and unstable solid–electrolyte interphases (SEIs).
Yangyul Ju +6 more
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Optimization of 3D‐Printed Structured Packings—Current State and Future Developments
Chemie Ingenieur Technik, EarlyView.This paper gives an overview about structured packing development for distillation, surveying heuristic development cycles, computational fluid dynamics simulations, and additive manufacturing techniques. The emerging application of shape optimization to improve packings is emphasized, and its benefits, impact, and limitations are discussed.
Dennis Stucke +3 more
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$delta$-Quasi Cauchy Sequences
, 2010 I withdraw my paper due to the acceptance in the journal "Mathematical and Computer Modelling"
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Mappings that preserve Cauchy sequences [PDF]
Časopis pro pěstování matematiky, 1988 Given metric spaces X and Y, denote by C(X,Y), U(X,Y) and F(X,Y) the set of all continuous, uniformly continuous and Cauchy-sequence-preserving maps from X to Y, respectively. It is known that U(X,Y)\(\subseteq F(X,Y)\subset C(X,Y)\) and the author studies the question, when equality holds. For the following assume that Y is a non-trivial normed space:
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On the stability of Bravais lattices and their Cauchy–Born approximations [PDF]
, 2011 We investigate the stability of Bravais lattices and their Cauchy–Born approximations under periodic perturbations. We formulate a general interaction law and derive its Cauchy–Born continuum limit. We then analyze the atomistic and Cauchy–Born stability
Hudson, Thomas +3 more
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Power spectral density and the brain
Canadian Journal of Statistics, EarlyView.Abstract Time series from M/EEG (magneto/electroencephalography) and ECoG (electrocorticography) recordings are common sources of information about brain function. The power spectral density (PSD) preserves much of this information, up to second order. In the current decade, a burst of brain diagnostics using the slope of log(PSD) has appeared.
Priscilla E. Greenwood +2 more
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λ-quasi Cauchy sequence of fuzzy numbers
, 2021 In this paper we introduce the λ -quasi Cauchy sequence of fuzzy numbers. We obtain the relation between strongly λ-quasi Cauchy convergence and statistically λ -quasi Cauchy convergence for fuzzy ...
Hazarika, Bipan, Baruah, Achyutananda
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Front Propagation Through a Perforated Wall
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki +2 more
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