The representations of dimension vector α of the quiver Q can be parametrised by a vector space R(Q,α) on which an algebraic group Gl(α) acts so that the set of orbits is bijective with the set of isomorphism classes of representations of the quiver. We describe the semi–invariant polynomial functions on this vector space in terms of the category of representations. More precisely, we associate...

We report first principles calculations of the melting curve and principal Hugoniot (P − V curve) of body centered cubic (bcc) tantalum in the pressure range 0-300 GPa. A description of lattice dynamics and thermal properties of bcc Ta using finite temperature density functional theory (DFT) is presented. The approach works within the projector augmented wave (PAW) implementation of DFT and exp...

This work considers the Real Leja Points Method (ReLPM), [J. Comput. Appl. Math., 172 (2004), pp. 79–99], for the exponential integration of large-scale sparse systems of ODEs, generated by Finite Element or Finite Difference discretizations of 3-D advectiondiffusion models. We present an efficient parallel implementation of ReLPM for polynomial interpolation of the matrix exponential propagato...

Toxin-antitoxin (TA) systems are small genetic modules usually composed of a toxin and an antitoxin counteracting the activity of the toxic protein. These systems are widely spread in bacterial and archaeal genomes. TA systems have been assigned many functions, ranging from persistence to DNA stabilization or protection against mobile genetic elements. They are classified in five types, dependi...

Ta-doped hematite (α-Fe2O3) nanorod array films were successfully prepared on fluorine-doped tin dioxide (FTO) coated glass substrates via a facile solution growth process with TaCl5 as a Ta doping precursor. Under 1 sun illumination and at an applied potential of 1.0 V vs. Ag/AgCl, the Ta-doped α-Fe2O3 photoanode with optimized dopant concentration showed a photocurrent density as high as 0.53...

Bioactive compounds are of considerable interest due to their antioxidant properties and potential beneficial health effects. Thus, this study aimed optimize model the ultrasound-assisted extraction process (UAE) response variables total anthocyanins (TA) phenolic content (TPC) from raspberries, compare optimized with conventional one. The used were time (5 75 min), temperature (30 70 °C), soli...

The au tonomic nervous sys tem i s v i ta l for homeostasis and its potency is gradually reduced wi th increas ing age (1 ) . Because ANS faci l i ta tes adaptat ion to physiological s t ress , au tonomic insuf f ic iency in e lder ly may not manifest itself under normal resting condi t ions , ye t may occur in response to changes in homeostasis (2). In old age though both sympathetic and paras...