Motivated by recent works in Levi degenerate CR geometry, this article endeavors to study the wider and more flexible para-CR structures for which constraint of invariancy under complex conjugation is relaxed. We consider 5-dimensional whose forms are constant rank 1 that 2-nondegenerate both with respect parameters variables. Eliminating parameters, such may be represented modulo point transfo...

We consider a second order damped-vibration equation Mẍ + D(ε)ẋ + Kx = 0, where M, D(ε), K are real, symmetric matrices of order n. The damping matrix D(ε) is defined by D(ε) = Cu + C(ε), where Cu presents internal damping and rank(C(ε)) = r, where ε is dampers’ viscosity. We present an algorithm which derives a formula for the trace of the solution X of the Lyapunov equation AX + XA = −B, as a...

Statement of problem Stereolithography (SLA) ceramic crown frameworks are suitable for clinical use, but the impact SLA build orientation has not been identified. Purpose The purpose this in vitro study was to investigate effect 3 orientations on physical and mechanical properties microstructure alumina dental ceramics. Material methods microstructures different oriented ceramics (ZX, ZY, XY) w...

Nonphotochemical quenching (NPQ) of Photosystem II fluorescence is one of the most important photoprotection responses of phototropic organisms. NPQ in Macrocystis pyrifera is unique since the fast induction of this response, the energy dependent quenching (qE), is not present in this alga. In contrast to higher plants, NPQ in this organism is much more strongly related to xanthophyll cycle (XC...

11 IJ (zx)xe+l exp [1/2t(1 -x2)] dx = E t" z-'-' J +x÷i (z). ,./ n~~~~~~~-O In the first two expressions the Bessel functions of the first kind (J,'s) may be replaced throughout by functions of the second kind (Y,'s); and further, if the factor (-)" in the summation involving J,,-x(z) be omitted the functions of the first kind may be replaced throughout by modified functions of the second kind ...

Three ascomycetous yeast strains, H-6(T), ZX-15 and ZX-20, isolated from the bark of two tree species of the family Fagaceae collected from different regions of China, formed unconjugated and persistent asci containing two to four globose ascospores. 26S rDNA D1/D2 domain and internal transcribed spacer (ITS) region (including 5.8S rDNA) sequence analysis showed that they were closely related t...

We consider a zero sum, stochastic differential game which involves two players, the controller and the stopper. The stopper selects the stopping rule which halts the game. The controller chooses the diffusion coefficient of the corresponding state process which is allowed to degenerate. At the end of the game, the controller pays the stopper, the amount E ∫ τ 0 eC(Zx(t))dt, where Zx(·) represe...