The total number of noncrossing partitions of type Ψ is the nth Catalan number 1 n+1 (

We evaluate the impact of three auction mechanisms—the Becker-DeGroot-Marschak (BDM) mechanism, the second-price auction (SPA), and the random nth-price auction (NPA)—in the measurement of private willingness-to-pay and willingness-to-accept for a pure public good. Our results show that the endowment effect is lower with the BDM mechanism. In this market mechanism, the effect disappears after a...

Let A be an abelian variety over an algebraically closed field. The Chow group CH0(A) of zero-dimensional cycles modulo rational equivalence forms a ring under the Pontryagin product operation with respect to which the subset I of degree zero cycles is an ideal. The nth power of I is shown to agree with the nth power of the algebraic equivalence relation as defined by H. Saito. A result is also...

Let pn denote the nth prime. Goldston, Pintz, and Yıldırım recently proved that lim inf n→∞ (pn+1 − pn) log pn = 0. We give an alternative proof of this result. We also prove some corresponding results for numbers with two prime factors. Let qn denote the nth number that is a product of exactly two distinct primes. We prove that lim inf n→∞ (qn+1 − qn) ≤ 26. If an appropriate generalization of ...

This work proposes a high efficiency PRNG suitable for use in stream ciphers. It is based on hybrid cellular automata with nonlinear feedback to improve its resistance to attacks. It is shown that it can be designed with an arbitrary number N of cells as long as N>Nth with no need for designing a new polynomial like in traditional feedback shift registers (it is easily scalable). The space of t...

We investigate the second-harmonic generation of the nth-order Bessel beam in the nonlinear medium. The analysis is based on the Khokhlov-Zabolotskaya-Kuznetsov wave equation under the second-order approximation in nonlinear acoustics. The theory indicates that for an nth-order Bessel beam, the second-harmonic beam is nearly diffraction-free in the radial direction and behaves as a Bessel beam ...

The Norwegian Experimental Remotely Operated Vehicle (NEROV) is described. The vehicle is designed and built at the Department of Engineering Cybernetics , The Norwegian Institute of Technology (NTH). The NEROV vehicle is an unmanned autonomous underwater vehicle (AUV) especially designed for testing advanced intelligent and conventional control algorithms. The vehicle is autonomous with respec...

Survival data are presented for a fecal strain of Escherichia coli exposed to three concentrations of chlorine dioxide at four temperatures. Chick's first-order reaction equation is generalized to a pseudo nth-order model. Nonlinear least squares curve-fitting of the survival data to the nth order model was performed on an analogue computer. The data were observed to follow fractional order kin...

This notation is slightly confusing, since L is not a matrix: we use it to denote this \a ne linear" operation. To solve this system of ODEs, we choose a time step k, de ne time levels tn = nk for n = 0, 1, . . . , and introduce u n ∈ RN−1. The vector un will be determined by a discrete dynamical system and it is our hope that this can be done in such a way that uj ≈ Uj(tn) ≈ u(xj, tn). Recall ...

TOPIC: Procedures TYPE: Original Investigations PURPOSE: Postprocedural pneumothorax (iatrogenic) is a patient safety indicator resulting from invasive procedures such as insertion of subclavian central line, pacemaker/ implantable cardiac defibrillator (ICD) placement, transbronchial lung biopsy and transthoracic pulmonary biopsy. This study examines if any these have higher predisposition to ...