Abstract We show that any normal irreducible affine n -dimensional SL -variety X is determined by its automorphism group seen as an ind-group in the category of varieties. In other words, if Y algebraic variety such Aut( ) ≃ ind-group, then a variety. If we drop condition normality on , this statement fails. case ≥ 3, result above holds true replace

Graphene has emerged as an ultrafast optoelectronic material for on-chip photodetector applications. The 2D nature of graphene enables its facile integration with complementary metal–oxide semiconductor (CMOS) microelectronics and silicon photonics, yet absorbs only ∼<...

We consider n-dimensional convex Euclidean hypersurfaces moving with normal velocity proportional to a positive power α of the Gauss curvature. We prove that hypersurfaces contract to points in finite time, and for α ∈ (1/(n + 2], 1/n] we also prove that in the limit the solutions evolve purely by homothetic contraction to the final point. We prove existence and uniqueness of solutions for non-...

The antioxidant activities of Ulva faciata, Nizimuddinia zanardinii and Gracilaria corticata were investigated in Chabahar, Iran. Methanol extract and n-hexane, dichloromethane and ethylacetate fractions used for antioxidative properties test by the total antioxidative activity, 2,2-diphenyl-1-picryl-hydrazylhydrate (DPPH) &nbsp;free radical scavenging activity, reduction power, metal chelating...

background: normal pregnancy is thought to be dependent on th2 deviation, while recurrent pregnancy loss (rpl) and pre-eclampsia (pe) appear to be biased toward the th1 immune response. it is believed that the soluble form of cd30 (scd30) is an index of th2 immune response or modulator of th1/th2 responses. objective: the aim of this study was determination of the scd30 level in rpl and pe pati...

For matrix power series with coefficients over a field, the notion of a matrix power series remainder sequence and its corresponding cofactor sequence are introduced and developed. An algorithm for constructing these sequences is presented. It is shown that the cofactor sequence yields directly a sequence of Pad6 fractions for a matrix power series represented as a quotient B(z)-lA(z). When B(z...