We look at invariance of a.e. boundary condition spectral behavior under perturbations, W ; of half-line, continuum or discrete Schrödinger operators. We extend the results of del Rio, Simon, Stolz from compactly supported W ’s to suitable short-range W : We also discuss invariance of the local Hausdorff dimension of spectral measures under such perturbations. r 2002 Elsevier Science (USA). All...

An experiment was conducted to study the effects of carbon tetrachloride (CCl4) on post-peak performance and serum enzymes of Hy-Line W-36 laying hens from 32-36 weeks of age. The experiment was carried out with a total of 192 laying hens in a completely randomized block design. During the experiment laying hens were allocated to 4 groups consisted of T1) no CCl4 as control diet, T2, T3 and T4)...

Let G be a graph. The Wiener index of G, W (G), is defined as the sum of distances between all pairs of vertices of G. Denote by L i (G) its i-iterated line graph. In the talk, we will consider the equation W (L i (T)) = W (T) where T is a tree and i ≥ 1.

The line graph L(G) of a graph G is defined to have as its vertices the edges of G, with two being adjacent if the corresponding edges share a vertex in G. Line graphs have a rich history. The name line graph was first used by Harary and Norman in 1960. But line graphs were the subject of investigation as far back as 1932 in a paper by H. Whitney in which he showed that for connected graphs, ed...

The Kanizsa illusion1 (Kanizsa, 1955), one of typical subtypes of the illusory contour, is a particularly intriguing phenomenon for considering the dynamics of our visual object perception (Fig.1). It has been stimulating interests of many researchers in this field for the last several decades. As Kanizsa (1955) originally discussed, this illusion is characterized by three distinct phenomenal p...

The Allen-Bradley ControlLogix [1] line of programmable logic controllers (PLCs) offers several interfaces: Ethernet, ControlNet, DeviceNet, RS-232 and others. The ControlLogix Ethernet interface module 1756-ENET uses EtherNet/IP, the ControlNet protocol [2], encapsulated in Ethernet packages, with specific service codes [3]. A driver for the Experimental Physics and Industrial Control System (...

The suffix tree of string w represents all suffixes of w, and thus it supports full indexing of w for exact pattern matching. On the other hand, a sparse suffix tree of w represents only a subset of the suffixes of w, and therefore it supports sparse indexing of w. There has been a wide range of applications of sparse suffix trees, e.g., natural language processing and biological sequence analy...

For a graph H, let Forb(H) be the class of graphs that do not induce H, and let P5 be the path on five vertices. In this article, we answer two questions of Gyrfs and Lehel. First, we show that there exists a function f(w) such that for any graph G E Forb(Ph), the on-line coloring algorithm First-Fit uses at most f(w(G)) colors on G, where w(G) is the clique size of G. Second, we show that ther...

GaAs/InGaAs far-infrared quantum well photodetectors based on a bound-to-continuum intersubband transition with a ~zero response! cutoff wavelength of 35 mm are reported. A peak responsivity of 0.45 A/W and detectivity of 6.0310 cmAHz/W at a wavelength of 31 mm and a temperature of 4.2 K have been experimentally achieved. Infrared response was observed at temperatures up to 18 K. A calculated r...

Let Δ = ABC be a reference triangle and Δ′ = A′B′C′ an inscribed triangle of Δ. We define the cevian projection of Δ′ as the cevian triangle ΔP of a certain point P . Given a point P not on a sideline, all inscribed triangles with common cevian projection ΔP form a family DP = {Δ(t) = AtBtCt, t ∈ R}. The parallels of the lines AAt, BBt, CCt through any point of a certain circumconic CP intersec...