S(u) denotes the interfacial area associated with the surfaces upon which u jumps, and G(x, y) denotes the Green’s function for − on QL with Neumann boundary conditions. The variational problem consists of competing short-range (S(u)) and long-range (the nonlocal Green’s function term) contributions. The former term is attractive, favoring large domains of pure phases with boundaries of minimal...

Water flow in the Polish Carpathians was exemplified by long-term (1988‑2017) analysis of two foothill catchments (of Skawinka and Stobnica) Beskidy Mountains Soła Osława). The work allowed for determination duration low flows outflow deficits relation to changes thermal precipitation conditions, as well land use cover. In selected catchments, 30-year period brought a decrease area arable an in...

The existence of bounded degree networks which can emulate the computation of any bounded degree network of the same size with logarithmic slowdown is well-known. The butterfly is an example of such a universal network. Leiserson was the first to introduce the concept of an area-universal network: a network with VLSI layout area A which can emulate any network of the same size and layout area w...

ABSTRACT We examine archival XMM-Newton data on the extremely variable narrow-line Seyfert 1 active galactic nucleus (AGN) 1H 0707-495. construct fractional excess variance (Fvar) spectra for each epoch, including recent 2019 observation taken simultaneously with eROSITA. explore both intrinsic and environmental absorption origins variability in different epochs, effect of photoionized emission...

‎we determine the‎ ‎form of polynomially bounded solutions to the loewner differential ‎equation that is satisfied by univalent subordination chains of the‎ ‎form $f(z,t)=e^{int_0^t a(tau){rm d}tau}z+cdots$‎, ‎where‎ ‎$a:[0,infty]rightarrow l(mathbb{c}^n,mathbb{c}^n)$ is a locally‎ ‎lebesgue integrable mapping and satisfying the condition‎ ‎$$sup_{sgeq0}int_0^inftyleft|expleft{int_s^t‎ ‎[a(tau)...