It is shown that the apparently singular zero-term of the Fourier series expansion of the electrostatic potential in a crystal is in fact finite and well defined. Analytical expressions for this term are given
On a measurable space (T, Σ, μ) we choose an additive measureν: Σ→ Z (Z is a Banach space) with the following property: for alle
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Top row: Blue line indicates results from numerical integration of the analytically derived SDE Eq. (23), whereas the orange line shows Gillespie simulations of the model. Bottom row: Steady-state distribution of the order parameter m obtained by numerical integration of SDE (blue hyphenated lines...
As construction technology and project management develop, structural monitoring systems become increasingly important for ensuring large-span spatial structure safety during construction and operation. However, most of the sensors and monitoring equipme
In vitro models incorporating the complexity and function of adult human tissues are highly desired for translational research. Whilst vital slices of human myocardium approach these demands, their rapid degeneration in tissue culture precludes long-term
Prior to signal integration, a linear baseline correction was applied between 2 and 12 ppm. We respected the same construction of the baseline for all spectra; so the choice of the baseline did not influence the obtained 1H NMR results. 3. Results 3.1. Scanning Electron Microscopy The ...
In particular, we may now inquire as to the range of x for which a series converges; we may ask whether a series represents the expansion of a known function or we may wish to find series expansions of given functions; and we may ask what operations (including integration or ...
By comparing the performance of several DL models with and without the integration of the optimized VMD, the study underlines the importance of incorporating VMD into the model architecture. These findings collectively emphasized the significant role of advanced feature extraction techniques in heightening...
In this article, the relation between covergence region of power series and the new covergence region of power series resulted from termuise integration and termwise differentiation is briefly discussed. 本文主要讨论了幂级数的收敛域与将幂级数逐项积分、逐项微分后所得的新的幂级数的收敛域之间的关系。