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Analytic Solution of Integral Equation Involving Spheroidal Wave Functions of Three Variables. [PDF]
In this paper Laplace transform and convolution theorem are used to solve integral equation involving spheroidal wave functions(S.W.F.) of 3-variables of the form where are the spheroidal wave function:- which represents the function ...
Qumri H. Hamko, Talhat I. Hassan
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Deep Convolutional Sum-Product Networks
We give conditions under which convolutional neural networks (CNNs) define valid sum-product networks (SPNs). One subclass, called convolutional SPNs (CSPNs), can be implemented using tensors, but also can suffer from being too shallow. Fortunately, tensors can be augmented while maintaining valid SPNs.
Cory J. Butz +3 more
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Representation of spectra of algebras of block-symmetric analytic functions of bounded type
The paper contains a description of symmetric convolution of the algebra of block-symmetric analytic functions of bounded type on $\ell_{1}$-sum of the space $\mathbb{C}^{2}.$ We show that the specrum of such algebra does not coincide of point evaluation
V.V. Kravtsiv, A.V. Zagorodnyuk
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CONVOLUTION SUM OF RAMANUJAN'S SUM
This article is the result of calculating the convolution of Ramanujan's sum and natural number multiplied. Among these results, special values are expressed by Euler and Bernoulli functions.
Hwan Jo, Gye +2 more
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Deconvolved Fractional Fourier Domain Beamforming for Linear Frequency Modulation Signals
To estimate the direction of arrival (DOA) of a linear frequency modulation (LFM) signal in a low signal-to-noise ratio (SNR) hydroacoustic environment by a small aperture array, a novel deconvolved beamforming method based on fractional Fourier domain ...
Zhuoran Liu +3 more
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A Characterization of Symmetric Stable Distributions
Characterization problems in probability are studied here. Using the characteristic function of an additive convolution we generalize some known characterizations of the normal distribution to stable distributions.
Wiktor Ejsmont
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Hyperosmotic stress induces PARP1‐mediated HPF1‐dependent mono(ADP‐ribosyl)ation
Sorbitol‐induced hyperosmotic stress rapidly induces reversible mono(ADP‐ribosyl)ation (MARylation) on PARP1 without the signs of genotoxic signaling. We show that PARP1 autoMARylation is HPF1 dependent and forms hydroxylamine‐resistant O‐glycosidic linkages.
Anna Georgina Kopasz +11 more
wiley +1 more source
Direct and Hierarchical Models for Aggregating Spatially Dependent Catastrophe Risks
We present several fast algorithms for computing the distribution of a sum of spatially dependent, discrete random variables to aggregate catastrophe risk. The algorithms are based on direct and hierarchical copula trees.
Rafał Wójcik +2 more
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A surface graph based deep learning framework for large-scale urban mesh semantic segmentation
The acquisition of large-scale 3D urban scene by photogrammetry and remote sensing is becoming faster and easier in recent years. As one of the important steps to help machines understand scenarios, mesh semantic segmentation has received extensive ...
Yetao Yang +3 more
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We present robust protocols for the preparation of supported lipid bilayers (SLBs) incorporating either Salmonella smooth LPS or outer membrane vesicles (OMVs). We use a combination of quartz crystal microbalance with dissipation (QCM‐D) and fluorescence microscopy to both characterize the SLBs of various compositions and to probe their interactions ...
Hudson P. Pace +6 more
wiley +1 more source

