The persistence of a spatially structured population is determined by the rate of dispersal among habitat patches. If the local dynamic at the subpopulation level is extinction-prone, the system viability is maximal at intermediate connectivity where recolonization is allowed, but full synchronization that enables correlated extinction is forbidden. Here we developed and used an algorithm for a...

It is known that the area of all Catalan paths of length n is equal to 4− ` 2n+1

This note derives the characteristic polynomial of a graph that represents nonjump moves in a generalized game of checkers. The number of spanning trees is also determined.

Context. We present the results of the first laboratory experiment of checkerboard shaped pupil binary mask coronagraphs using visible light, in the context of the R&D activities for future mid-infrared space missions such as the 3.5 m SPICA telescope. Aims. The primary aim of this work is to demonstrate the coronagraphic performance of checkerboard masks down to a 10 −6 peak-to-peak contrast, ...

Thermodynamic quantities and correlation functions (CFs) of the classical antiferromagnet on the checkerboard lattice are studied for the exactly solvable infinite-component spin-vector model, D → ∞. In contrast to conventional two-dimensional magnets with continuous symmetry showing extended short-range order at distances smaller than the correlation length, r ∼ ξc ∝ exp(T /T ), correlations i...

Abstract Dynamic inversion of the planar-chiral responses a metasurface is experimentally demonstrated in terahertz regime. To realize this inversion, critical transition checkerboard-like metallic structures used. Resonant with planar chirality and their complementary enantiomeric patterns are embedded checkerboard. Using vanadium dioxide as variable resistance, implemented The to circularly p...

Recent scanning tunneling microscopy measurements which indicate the formation of two-dimensional density modulations at some doping levels in cuprates were reviewed. A model of hard-core bosons which represent bound hole pairs in the two-dimensional doped antiferromagnet was discussed in the context of these experimental results. By means of an exact numerical diagonalization it was shown that...

A regular circuit structure called a Checkerboard (CB) is proposed. In some CB configurations, all mask layers except the via layers are pre-designed, which is attractive for high manufacturability and performance predictability and for lowering mask costs. The synthesis algorithms developed for the CB makes use of their structural regularity and flexibility. No technology mapping is needed; pl...

In this paper, we consider the family of rational maps Fλ(z) = z n + λ zd , where n ≥ 2, d ≥ 1, and λ ∈ C. We consider the case where λ lies in the main cardioid of one of the n − 1 principal Mandelbrot sets in these families. We show that the Julia sets of these maps are always homeomorphic. However, two such maps Fλ and Fμ are conjugate on these Julia sets only if the parameters at the center...

Heterochromatic brightness matches with checkerboard patterns made up of a white reference and a chromatic test element for various element sizes from 3' to 2 degrees 30' square and with a 5 degrees bipartite field were carried out with a color cathode-ray tube. The brightness-to-luminance (B/L) ratios of six chromatic stimuli were obtained, and the brightness additivity for the mixture of red ...