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Modal reduction of mathematical models of biological molecules

Journal of Computational Physics, 2005
This paper reports a detailed study of modal reduction based on either linear normal mode(LNM) analysis or proper orthogonal decomposition(POD) for modeling a single α-D glucopyranose monomer as well as a chain of monomers. Also a modal reduction method combining POD and component modal synthesis(CMS) is developed.
Li, Aiqin, Dowell, Earl H.
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Impulse Noise Reduction Using Mathematical Morphology

2011
This paper introduces a new class of filter for the removal of impulse noise in images using mathematical morphology. Basic mathematical morphological theory and operations are introduced at first, and then the self adaptive median morphological filter is proposed for the removal of impulse noise.
null J.Harikiran   +4 more
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Reduction principle of the mathematical model

2017 2nd International Conference on Advanced Information and Communication Technologies (AICT), 2017
The detection and elimination principle of redundant elements in the mathematical model is proposed in this paper. The efficiency of the proposed approach has been analyzed based on the neural network model of economic system and differential equations model. Results prove the 16 times increasing in the model accuracy.
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Reduction of a Mathematical Model for Polymer Crystallization

2004
A reduction of a recent model of crystallization is presented. After adimensionalization, we solve it numerically. The temperature field exhibits oscillations and the crystallization process exhibits jumps. In fact, there is an advancing front of crystallization outside which the degree of crystallinity is constant.
V. Capasso, R. Escobedo
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Microscopic Image Noise Reduction Using Mathematical Morphology

2020
In image processing to enhance the region of an image, mathematical morphological (MM) operations are taken an important role. Mainly application of basic morphological techniques are useful in improving the quality of an image. In the collection and delivery process, the image will be polluted by salt-and-pepper noise, which would lead directly to ...
Mangala Shetty, R. Balasubramani
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Mathematical Modelling of Toxicity Associated with Intracellular Chromium Reduction

Bulletin of Mathematical Biology, 2013
Chromium is a known allergen and carcinogen, but the mechanisms by which damage is caused are not clearly understood. Based on experimental literature, we devise a conceptual model examining the intracellular reduction of chromium through reductants such as glutathione and ascorbic acid.
A, Lamb, G, Evans, J R, King
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Canonical Reduction Systems in Symbolic Mathematics

2009
Many algorithmic methods in mathematics can be seen as constructing canonical reduction systems for deciding membership problems. Important examples are the Gauss elimination method for linear systems, Euclid's algorithm for computing greatest common divisors, Buchberger's algorithm for constructing Grobner bases, or the Knuth-Bendix procedure for ...
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Appendix: The Mathematics of Model Reduction

2002
In this Chapter, we do not intend to present new algorithms for model reduction but to throw some light on the mathematics behind projection techniques which are currently used for that purpose. In this respect, what follows can be considered as a continuation of [14, 15, 17] and the literature quoted in these papers.
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Mathematical model for post combustion in smelting reduction

Steel Research, 1996
Post combustion in the top space of iron bath smelting reduction furnaces is analysed with three‐dimensional mathematical modelling. Momentum transport and continuity equations in combination with a k‐ɛ model of turbulence are numerically solved for the gas flow field.
Ullrich Becker‐Lemgau   +1 more
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Over-Tenured Universities: The Mathematics of Reduction

Management Science, 1981
Most universities anticipate an era of retrenchment over the next decade or two. The heady period of expansion fueled by the baby boom and by the jump in the percentage of high school graduates enrolling in college is now yielding to the lean years of the baby bust.
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