Epicuticular waxes, which are found on the outer surface of plant cuticles, are difficult to study in vivo. To monitor the growth, development, and structural alterations of epicuticular wax layers, coherent anti-Stokes Raman scattering (CARS) might be used. CARS, as a Raman-based technique, not only provides structural insight but also chemical information by imaging the spatial distribution o...

We derive a worst upper bound on the number of models for exact satisfiability (XSAT) of arbitrary CNF formulas F. The bound can be calculated solely from the distribution of positive and negated literals in the formula. For certain subsets of CNF instances the new bound can be computed in subexponential time, namely in at most ( ) n O n , where n is the number of variables of F. A wider class ...

Let Lα = − 12 ∑n j=1 ( ZjZj + ZjZj ) + iαT be the sub-Laplacian on the nonisotropic Heisenberg group Hn where Zj , Z̄j for j = 1, 2, · · · , n and T are a basis of the Lie algebra hn. We apply the Laguerre calculus to obtain the fundamental solution of the heat kernel exp{−sLα}, the Schrödinger operator exp{−isLα} and the operator ∆λ,α = − 12 ∑n j=1 λj(ZjZ̄j + Z̄jZj) + iαT. We also discuss some ba...

We describe some connections, via composition, between two functional spaces: the space of (sub)critical branching mechanisms and the space of Bernstein functions. The functions eα : x → xα where x ≥ 0 and 0 < α ≤ 1/2, and in particular the critical parameter α = 1/2, play a distinguished role.

The effect of exogenously applied auxins on oxidative stress was studied in six rootstock selections of Prunus cerasus, P. mahaleb and P. fruticosa aiming at the effect of phytohormones on the level of the lipid peroxidation (LP). Standard rootstock PHL-A was used as a control. Leaves were collected on 0, 1, 3 and 7 day of inserting cuttings into the rooting substrate. Auxin mixture consisted o...