The relaxation in the calculus of variation motivates numerical analysis a class degenerate convex minimization problems with non-strictly energy densities some convexity control and two-sided $p$-growth. minimizers may be non-unique primal variable but lead to unique stress $\sigma \in H(\operatorname{div},\Omega;\mathbb{M})$. Examples include p-Laplacian, an optimal design problem topology op...

DRAFT OF A PAPER PUBLISHED IN EA’2005 : Anne Auger, Mohamed Jebalia, Olivier Teytaud. (X,sigma,eta) : quasi-random mutations for Evolution Strategies. Proceedings of Evolutionary Algorihtms’2005, 12 pages. Randomization is an efficient tool for global optimization. We here define a method which keeps : – the order 0 of evolutionary algorithms (no gradient) ; – the stochastic aspect of evolution...

The Bacillus subtilis gene pgsA, which codes for the phosphatidylglycerophosphate synthase that catalyzes the committed step for the synthesis of phosphatidylglycerol (PG), is essential since Pspac-pgsA cells require IPTG for growth. Removal of the inducer caused a dramatic decrease of PG content in the membranes of cells and retarded growth. At 60 min and 120 min after removal, it was reduced ...

abstract background: today, the rate of surgeries is increasing, but surgeries are canceled due to various reasons. unexpected cancellation of surgeries not only results in disorder in the operating room schedule, but also causes stress for patients and their family and increases costs. we determined the number and causes of surgery cancellations and areas for improvement. materials and methods...

We introduce and develop a pathwise description of the dissipation of general convex entropies for continuous time Markov processes, based on simple backward martingales and convergence theorems with respect to the tail sigma field. The entropy is in this setting the expected value of a backward submartingale. In the case of (non necessarily reversible) Markov diffusion processes, we use Girsan...

Alternative sigma factors allow bacteria to reprogram global transcription rapidly and to adapt to changes in the environment. Here we report on growth- and cell division-dependent sigma(32) regulon activity in Escherichia coli in batch culture. By analyzing sigma(32) expression in growing cells, an increase in sigma(32) protein levels is observed during the first round of cell division after e...

Let a(x) be a real function with a regular growth as x --> infinity. [The precise technical assumption is that a(x) belongs to a Hardy field.] We establish sufficient growth conditions on a(x) so that the sequence ([a(n)])(infinity)(n=1) is a good averaging sequence in L2 for the pointwise ergodic theorem. A sequence (an) of positive integers is a good averaging sequence in L2 for the pointwise...

in this note we characterize the compact weighted frobenius-perron operator $p$ on $l^1(sigma)$ and determine their spectra. we also show that every weakly compact weighted frobenius-perron operator on $l^1(sigma)$ is compact.

Achieving high valley degeneracy (i.e. "band convergence") in a material usually results considerably enhanced thermoelectric properties. However, it is still unclear why this strategy of designing efficient materials so successful, since the benefit increased density states may be severely degraded by intervalley scattering. Using first-principles calculations, we investigate these effects $p$...

In the present paper a solution of the generalizedquadratic functional equation$$f(kx+ y)+f(kx+sigma(y))=2k^{2}f(x)+2f(y),phantom{+} x,yin{E}$$ isgiven where $sigma$ is an involution of the normed space $E$ and$k$ is a fixed positive integer. Furthermore we investigate theHyers-Ulam-Rassias stability of the functional equation. TheHyers-Ulam stability on unbounded domains is also studied.Applic...