One may produce the qth harmonic of a string of length π by applying the ‘correct touch’ at the node π/q during a simultaneous pluck or bow. This notion was made precise by a model of Bamberger, Rauch and Taylor. Their ‘touch’ is a damper of magnitude b concentrated at π/q. The ‘correct touch’ is that b for which the modes, that do not vanish at π/q, are maximally damped. We here examine the as...

This study investigated the effect of the oxygen-inhibited layer on the degree of conversion (DC) of three dental adhesives, comparing two different protocols. Quartz-tungsten-halogen (QTH) light curing and light-emitting diode (LED) were used to cure three adhesives: OptiBond All in One (OAIO), Adper Easy Bond (AEB) and ExciteF (EXF). The DC was calculated utilizing Fourier Transform infrared ...

Let Gn be the complete graph on the vertex set [n] = {1, 2, . . . , n} and ω an orientation of Gn , i.e., ω is an assignment of a direction i → j of each edge {i, j} of Gn . Let eq denote the qth unit coordinate vector of Rn . Write P(Gn ;ω) ⊂ R n for the convex hull of the (n 2 ) points ei − e j , where i → j is the direction of the edge {i, j} in the orientation ω. It will be proved that, for...

PRINCETON UNIVERSITY Communicated by S. Lefschetz, June 23, 1952 In this work it is proved that the Steenrod squares on cohomology classes satisfy certain identities. These identities are applied to solve particular homotopy problems. Full details will appear elsewhere. 1. Let W(K) be the qth cohomology group of a complex K with the integers mod 2 as coefficient group. The Steenrod squares,' de...

The spatial scaling law and intermittency of the V2O5 surface roughness has been investigated by atomic force microscopy. The intermittency of the height fluctuations has been checked by two different methods, first, by measuring the scaling exponent of the qth moment of height-difference fluctuations i.e. Cq = 〈|h(x1)− h(x2)|q〉, and second, by defining the generating function Z(q, N) and gener...

In a deregulated electricity market, Ancillary Services are essential for the adequate operation of the bulk power system. In order to procure reactive power support, it is necessary to quantify the value of the VAr’s available sources within the system. This paper focuses on reactive power supply and voltage control on transmission networks. An optimization approach is proposed to determine th...

We propose a root n consistent estimator for β0 when the qth conditional quantile of Y given X=x and Z=z takes the semi linear form g(x)+z′β0 where g(.) is an unknown real valued function,β0 a finite dimensional parameter and (X,Z)a couple of explanatory variables.Importantly, our estimator attains,under homoscedasticity,the semi parametric efficiency bound.This estimation is conducted in two s...

The qth moment M(q) of the growth probability of diffusion-limited aggregates is studied for q<0 in terms of the value [M(q,N)]av obtained by averaging M(q) over the ensemble of all aggregates of a given number of particles N. For a range of structures that are susceptible to precise analysis, we verify that all moments, even those for q<0, obey asymptotic power-law scaling in N. Since we canno...

We study the quadratic residue weight enumerators of the dual projective Reed-Solomon codes of dimensions 5 and q − 4 over the finite field Fq. Our main results are formulas for the coefficients of the the quadratic residue weight enumerators for such codes. If q = p and we fix v and vary p then our formulas for the coefficients of the dimension q− 4 code involve only polynomials in p and the t...