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Showing 1 to 9 of 9 for “"Gaussian Functions"”.
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Analysis of solitary waves in inhomogeneous systems
… stability via a variational method. Using a Gaussian ansatz and comparing the results with numerical computations, we report a novel observation of false instabilities. Comparing with established results and using the Vakhitov-Kolokolov criterion, we deduce that the instabilities are due to …
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Zur Approximation elektronischer Wellenfunktionen durch anisotrope Gauß-Funktionen
… solutions of the eigenvalue problem - the wave functions - describe the state of the modelled quantum mechanic system and can be computed analytically in only a few simple cases. The high dimensionality of the problem is one of the difficulties in the approximation of a solution. Therefore a …
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Generation time statistics of Escherichia coli using synchronous culture techniques
… is expressed as the sum of a series of functions with properties related to the generation time distribution of the cells and the correlations between the generation times of related cells. Smoothing of the cell number data by digital filtering and subsequent numerical differentiation …
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Simulation studies of slow dynamics of hydration water in lysozyme : hydration level dependence and comparison with experiment using new time domain analysis
… is introduced in the experiment part. We use the Gaussian functions to convert the Intermediate Scattering Functions (ISF) from Quasi-Elastic Neutron Scattering (QENS) experiments from frequency domain to time domain. Then, the Relaxing-Cage Model (RCM) fitting is performed on the converted ISF in …
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Microphase Separation Studies in Styrene-Diene Block Copolymer-based Hot-Melt Pressure- Sensitive Adhesives
… A modified Percus — Yevick model combined with Gaussian functions was used fit the liquid like disordered and bcc — ordered peaks of the SAXS intensity profiles. The morphological parameters derived from SAXS analysis corresponded to features such as the size and extent of ordering of the …
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On the exact simulation of (skew) Brownian diffusions with discontinuous drift
… as an infinite series involving, in particular, Gaussian functions and their tails. Then we propose a new useful application of a generalization of the known rejection sampling method. Recall that this basic algorithm allows to sample from a density as soon as one finds an - easy to sample - …
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WAVEPACKET APPROACHES TO DISSIPATIVE QUANTUM DYNAMICS
… treats part of the MCTDH wavefunction as Gaussian functions, which are analytically known; the LCSA approach, on the other hand, can be viewed as a GMCTDH approach with selected configurations. In our project we have studied the effect of the environment on quantum systems. In particular, …
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Structure and Glass Transition Behavior of As-Rich As-Se Glasses: Modeling and Experiment
… units. A model of the spectrum made by fitting Gaussian functions to the MCR components was then used for structural analysis. The population of As4Se3 units was derived, which shows a maximum at x = 60% and a decoupling from the population of As-rich units, consistent with a local minimum in …
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Fast Algorithm for Modeling of Rain Events in Weather Radar Imagery
… can be modeled as a combination of localized functions using Radial Basis Function Neural Networks (RBFNNs). Tracking of rain events can be performed by tracking the parameters of these localized functions. The RBFNN-based techniques used in forecasting are not only computationally expensive, …