For the iterative solution of saddle point problems, a nonsymmetric preconditioner is studied which, with respect to the upper-left block of the system matrix, can be seen as a variant of SSOR. An idealized situation ...
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We address the problem of GPS navigation in the presence of spoofing, and propose a dynamical model in which an estimate-dependent term is integrated into the state dynamics. This term represents a control input used ...
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In this paper, we ascertain the global λ-structure of the set of positive and negative solutions bifurcating from u=0 for the semilinear elliptic BVP −dΔu=λ〈a,∇u〉+u+λu2−uqinΩ,u=0on∂Ω,according to the values of d...
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A Stieltjes integral representation for the effective diffusivity in turbulent transport is developed. This formula is valid for all Peclet numbers and yields a rigorous resummation of the divergent perturbation serie...
A Stieltjes integral representation for the effective diffusivity in turbulent transport is developed. This formula is valid for all Peclet numbers and yields a rigorous resummation of the divergent perturbation series in Peclet number provided that all diagrams are computed exactly. Another consequence of the integral representation is convergent upper and lower bounds on effective diffusivity for all Peclet numbers utilizing a prescribed finite number of terms in their perturbation series.
This article discusses the mathematical model of changes in the number of cancer cells as a result of the intervention. Here the effect of combination treatment, in the form of virus injection and chemotherapy on tumo...
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This research introduces a biodegradable smart packaging film designed for real-time freshness monitoring of shrimp, incorporating zinc oxide nanoparticles (ZnO NPs) and anthocyanin extracted from Hibiscus rosa-sinens...
This research introduces a biodegradable smart packaging film designed for real-time freshness monitoring of shrimp, incorporating zinc oxide nanoparticles (ZnO NPs) and anthocyanin extracted from Hibiscus rosa-sinensis L. as a pH-responsive indicator. The film matrix, composed of cassava starch, chitosan, and glycerin, was reinforced with varying concentrations of ZnO (0%, 6%, and 10%). Structural characterization via X-ray diffraction (XRD) and Fourier-transform infrared spectroscopy (FTIR) confirmed the successful incorporation of ZnO into the biopolymer matrix. Notably, the film containing 6% ZnO exhibited the highest crystallinity index (12.23%) compared to the control (10.29%) and the 10% ZnO variant (10.81%). Mechanical property assessments indicated that the 6% ZnO film demonstrated superior tensile strength (0.78 MPa) and Young's modulus (2.84 MPa). However, increasing the ZnO content resulted in a decrease in elongation at break, from 41.52% in the control to 27.65% in the 10% ZnO film. Water interaction analyses revealed improved water resistance with ZnO incorporation, as evidenced by a reduction in water solubility from 38.12% (control) to 28.45% (10% ZnO). Biodegradation assays showed a slower degradation rate in ZnO-reinforced films (56.42% for 6% ZnO and 49.87% for 10% ZnO) compared to the control (68.15%) over 15 days, likely attributable to the hydrophobic nature of ZnO nanoparticles. Functionally, the film demonstrated effective spoilage detection through visible colorimetric transitions, shifting from reddish-purple to bluish-green within 24 hours of shrimp storage, corresponding to pH changes associated with degradation. Overall, the findings underscore the potential of ZnO-reinforced, starch-based films as eco-friendly and smart packaging materials for enhancing food safety and quality monitoring.
This paper presents a diffusion based probabilistic interpretation of spectral clustering and dimensionality reduction algorithms that use the eigenvectors of the normalized graph Laplacian. Given the pairwise adjacen...
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ISBN:
(纸本)9780262232531
This paper presents a diffusion based probabilistic interpretation of spectral clustering and dimensionality reduction algorithms that use the eigenvectors of the normalized graph Laplacian. Given the pairwise adjacencymatrix of all points, we define a diffusion distance between any two data points and show that the low dimensional representation of the data by the first few eigenvectors of the corresponding Markov matrix is optimal under a certain mean squared error criterion. Furthermore, assuming that data points are random samples from a density p(x) = e-U(x) we identify these eigenvectors as discrete approximations of eigenfunctions of a Fokker-Planck operator in a potential 2U(x) with reflecting boundary conditions. Finally, applying known results regarding the eigenvalues and eigenfunctions of the continuous Fokker-Planck operator, we provide a mathematical justification for the success of spectral clustering and dimensional reduction algorithms based on these first few eigenvectors. This analysis elucidates, in terms of the characteristics of diffusion processes, many empirical findings regarding spectral clustering algorithms.
In this paper, we introduce a new algorithm based on total variation for denoising speckle noise images. Total variation was introduced by Rudin, Osher, and Fatemi in 1992 for regularizing images. Chambolle proposed a...
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This paper considers the problem of controlling a von Kármán vortex street (periodic shedding) behind a circular cylinder using cylinder rotation as the actuation. The approach is to linearize the Navier-Sto...
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The discussion about how to put together Gentzen’s systems for classical and intuitionistic logic in a single unified system is back in fashion. Indeed, recently Prawitz and others have been discussing the so called ...
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