Fast multidimensional convolution can be performed naively in quadratic time and can often be performed more efficiently via the Fourier transform; however, when the dimensionality is large, these algorithms become more challenging. A method is proposed for performing exact hypercube convolution in sub-quadratic time. The method outperforms FFTPACK, called via numpy, and FFTW, called via pyfftw...

Let $F$ be a non-Archimedean locally compact field‎. ‎Let $sigma$ and $tau$ be finite-dimensional representations of the Weil-Deligne group of $F$‎. ‎We give strong upper and lower bounds for the Artin and Swan exponents of $sigmaotimestau$ in terms of those of $sigma$ and $tau$‎. ‎We give a different lower bound in terms of $sigmaotimeschecksigma$ and $tauotimeschecktau$‎. ‎Using the Langlands...

Alzheimer's disease (AD) and a subset of frontotemporal dementia termed FTLD-Tau are characterized by a massive, yet incompletely characterized and understood redistribution of Tau. To establish a framework for understanding this pathology, we used the genome-editing tool TALEN and generated Tau-mEOS2 knock-in mice to determine the mobility and subcellular localization of endogenous Tau in hipp...

Time resolved photometry of the long-period intermediate polar V1062 Tau confirmed the presence of the previously reported orbital and spin periods, and revealed the presence of a third one, corresponding to the beat of the two. While the orbital periodicity was present throughout our data, only one of the shorter periods was detectable at any given time. On a time-scale of ∼90 days, the short-...

In this paper we considered some new classes of multivalent functions by using Aouf-Silverman-Srivastava operator and derived some important results using convolution and subordination technique. This new class is an extension of a class which introduced before.

(Cell 142, 320–332; July 23, 2010) As a result of an error during figure preparation, the model in Figure 6D was omitted. Additionally, in Figure S1B, Tau-pSer399 was incorrectly typed. This has been corrected to Tau-pSer396 both in the figure and in the text. Corrected versions of both figures are shown below. These errors in no way affect the conclusions of the paper, and the authors apologiz...

We have utilized tau-assembled and tau-stabilized microtubules (MTs), in the absence of taxol, to investigate the effects of tau isoforms with three and four MT binding repeats upon kinesin-driven MT gliding. MTs were assembled in the presence of either 3-repeat tau (3R tau) or 4-repeat tau (4R tau) at tau:tubulin dimer molar ratios that approximate those found in neurons. MTs assembled with 3R...

This experiment is deigned for the appearance search of ν μ − >ντ oscillation in the parameter region indicated by Super-Kamiokande, as the explanation of the zenith dependence of the atmospheric neutrino deficit. The detection is mainly based on the nuclear emulsion technology for the direct observation of the decay of tau leptons produced in ντ charged current interactions. The performance of...

Nowadays, air pollution is one of the major problems in developed and developing countries. In recent years, effects of air pollution on neuroinflammatory diseases such as Alzheimer disease and Parkinson disease have been studied. Researches on polluted cities citizens indicate increasing in central nervous system (CNS) inflammatory factors in comparison with clean cities; also air pollution ex...