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Stable equilibrium study cascaded one bit sigma-delta modulator In the paper defines a boundary of stability zone for sigma-delta modulator. The boundary depends from inner sigma-delta modulator coefficients. For designing purposes such result could use to find or compare some appropriate schemes with each other. It's proved some statements and showed that boundary could be found theoretically ...

We define a nonassociative generalization of cyclic Azumaya algebras employing skew polynomial rings $D[t;\sigma]$, where $D$ is an algebra constant rank with center $C$ and $\sigma$ automorphism $D$, such that $\sigma|_{C}$ has finite order. The automorphisms these are canonically induced by ring the $D[t;\sigma]$ used in their construction. achieve description inner automorphisms. Results on ...

Extracytoplasmic function (ECF) sigma factors constitute a diverse family of proteins, within the class of the sigma 70 subunit of RNA polymerase. Most members of the family studied to date are known to regulate gene expression in response to stress conditions. The Bacillus subtilis genome encodes at least 17 distinct sigma factors, seven of which are members of the ECF subfamily. Among these, ...

This article concerns the blow up behavior for Henon type parabolic equation withexponential nonlinearity, $$ u_t=\Delta u+|x|^{\sigma}e^u\quad \text{in } B_R\times \mathbb{R}_+, where \(\sigma\geq 0\) and \(B_R=\{x\in\mathbb{R}^N: |x|<R\}\).We consider all cases in which blowup of solutions occurs, i.e. \(N\geq 10+4\sigma\).Grow rates are established by a certain matching different asymptot...

Heat is the enemy of stability, and nowhere is this more true than in living cells, whose delicately folded proteins fall apart as temperatures rise. To combat this crisis, cells mount a ‘‘heat shock response,’’ a central feature of which is the coordinated production of chaperone proteins, to refold proteins that can be salvaged, and proteases, to degrade those that can’t. In the Escherichia c...

Introduction: Bacteria have at least one sigma factor (σ-factor) that transcribes the genes required for cell viability. Usually, transcription of σ-factors occurs and changes in response to a variety of environmental stresses. Expression of σ-factors is one of the strategies which is used in response to different stress conditions. This study was aimed to evaluate the effects...