We consider the Brauer group BM(k, G) of a group G (finite or infinite) over a commutative ring k with identity. A split exact sequence 1 −→ Br′(k) −→ BM′(k, G) −→ Gal(k, G) −→ 1 is obtained. This generalizes the Fröhlich-Wall exact sequence ([7, 8])from the case of a field to the case of a commutative ring, and generalizes the PiccoPlatzeck exact sequence ([13]) from the finite case of G to th...

We study the entropy rate of a hidden Markov process, defined by observing the output of a symmetric channel whose input is a first order Markov process. Although this definition is very simple, obtaining the exact amount of entropy rate in calculation is an open problem. We introduce some probability matrices based on Markov chain's and channel's parameters. Then, we try to obtain an estimate ...

this paper reports the results of using three empirical methods (makkink, priestley-taylor and hargreaves) for estimating the reference evapotranspiration (et0) in the semi-arid region of tensift al haouz, marrakech (center of morocco). the penman-monteith equation, standardized by the food and agriculture organization (fao-pm), is used to evaluate the three empirical methods. the obtained et0 ...

Video prediction is a challenging task with wide application prospects in meteorology and robot systems. Existing works fail to trade off short-term long-term performances extract robust latent dynamics laws video frames. We propose two-branch seq-to-seq deep model disentangle the Taylor feature residual frames by novel recurrent module (TaylorCell) module, based on principle for separation. Ta...

In this paper, the theory of ε-constants associated to tame finite group actions on arithmetic surfaces is used to define a Brauer group invariant μ(X , G, V ) associated to certain symplectic motives of weight one. The relationship between this invariant and w2(π) (the Galois-theoretic invariant associated to tame covers of surfaces defined by Cassou-Noguès, Erez and Taylor) is also discussed.

in this paper , numerical solotion of abel's integral equationby using the taylor expanssion of the unknown functionvia collection method based on sinc is considered...

The known proofs for universal Taylor series do not determine a specific universal Taylor series. In the present paper, we isolate a specific universal Taylor series by modifying the proof in [30]. Thus we determine all Taylor coefficients of a specific universal Taylor series on the disc or on a polygonal domain. Furthermore in non simply connected domains, when universal Taylor series exist, ...

The human chromosome complement at metaphase of mitosis may be divided into 10-I2 sets. The chromosomes are conventionally assigned to the various groups according to the criteria of length and arm ratio. It has not yet proved possible, using these criteria, to separate the whole of the chromosome complement into 23 pairs of homologous chromosomes. The chromosomes of the X-6-I2 group are partic...