Local P-shtukas and their relation to global G-shtukas

This is the first in a sequence of two articles investigating moduli stacks of global G-shtukas, which are function field analogs for Shimura varieties. Here G is a flat affine group scheme of finite type over a smooth projective curve, and global G-shtukas are generalizations of Drinfeld shtukas and analogs of abelian varieties with additional structure. Our moduli stacks generalize various moduli spaces used by different authors to prove instances of the Langlands program over function fields. In the present article we explain the relation between global G-shtukas and local P-shtukas, which are the function field analogs of p-divisible groups with additional structure. We prove the analog of a theorem of Serre and Tate stating the equivalence between the deformations of a global G-shtuka and its associated local P-shtukas. We also investigate local P-shtukas alone and explain their relation with Galois representations through their Tate modules. And if P is a smooth affine group scheme with connected reductive generic fiber we prove the existence of Rapoport--Zink spaces for bounded local P-shtukas as formal schemes locally formally of finite type. In the sequel to this article we use these Rapoport--Zink spaces to uniformize the moduli stacks of global G-shtukas.Comment: 37 pages, v3: generalization to flat affine group schemes of finite type, v3: final version which appears in Muenster J. of Mathematic

Effects of mistuning on dynamic behavior of nonlinear cyclic systems with lump masses and cubic nonlinearity

Mistuning in cyclic symmetric systems increases severely the forced response of system and splits the modes. This paper concerns with nonlinear behavior of mistuned cyclic systems. A nonlinear, mistuned model based on the method of multiple scales is proposed and formulated in which nonlinearity and mistuning parameter is assumed to be in of low order. Next, two mistuned systems were considered and solved by the multiple scale technique. Numerical results demonstrate that mistuning can lead to repeating and scattering of jump phenomena during the excitation frequency whereas in tuned cyclic system it occurs simultaneously (synchronously).Peer ReviewedPostprint (published version

A new operational matrix based on Bernoulli polynomials

In this research, the Bernoulli polynomials are introduced. The properties of these polynomials are employed to construct the operational matrices of integration together with the derivative and product. These properties are then utilized to transform the differential equation to a matrix equation which corresponds to a system of algebraic equations with unknown Bernoulli coefficients. This method can be used for many problems such as differential equations, integral equations and so on. Numerical examples show the method is computationally simple and also illustrate the efficiency and accuracy of the method

Application of extreme environmental conditions to resuscitation of viable but non culturable E. coli DH5α

The resuscitation of Viable But Non-Culturable (VBNC) state in Escherichia coli DH5α as one of the most usable expression host was investigated. The VBNC state in bacteria is defined as while the cells are alive but unable to grow visibly on nonselective growth medium. After collecting several samples, Non-culturable E. coli DH5α (that has undertaken on various recombinant manipulations) were divided into different groups in order to carry-out different experiments. They were treated to heat shock at 42ºC in different periods of time, different concentration of Bile-salts and NaCl and combinational of these methods. The results showed that the almost of resuscitation treatment had positive effect on reactivation of VBNC E. coli DH5α. The combination of these parameters (various NaCl and bile salts concentration and heat shock method at 42 °C in different time) in a binary manner, also inferred to suitable results. Furthermore, by applying the three stresses simultaneously we achieved optical density up to 0.58 and 9×108 CFU/ml which had presented the best results. The results show that by applying some alterations in the condition of such recombinant E. coli DH5α, the growth path of these bacteria which remain to a VBNC phase can be changed to the normal status

Veronica persica Poir. extract - antibacterial, antifungal and scolicidal activities, and inhibitory potential on acetylcholinesterase, tyrosinase, lipoxygenase and xanthine oxidase

Veronica persica (Persian speedwell) is a flowering plant local to Eurasia. In this study, several analyses were done to discover the antimicrobial and scolicidal activities and acetyl cholinesterase (AChE), tyrosinase (TYR), lipoxygenase (LOX), and xanthine oxidase (XO) inhibitory activities of V. persica extract. The results presented that B. subtilis was the most susceptible to the extract (MIC = 40.3 \u3bcg/mL), while P. aeruginosa was the most resistant strain (MIC = 250.9 \u3bcg/mL) among all bacteria evaluated. The extracts demonstrated significant activity versus E. granulosus (P < 0.5) with dose-dependent inhibitions of the protoscolices. The analyzed plant extract exhibited a high AChE and TYR inhibitory activity 55.3% and 52.7% (at the highest utilized dose - 3 mg/mL), respectively. The extract also showed high anti-inflammatory activities in analyses tested. Our research proposed that extract of this plant could be promising to the human health, markedly in the infectious, neurodegenerative and inflammatory disorders