On integers of the forms k−2 and k2+1

In this paper we prove that if (r,12)?3, then the set of positive odd integers k such that k^r−2ⁿ has at least two distinct prime factors for all positive integers n contains an infinite arithmetic progression. The same result corresponding to k^r2ⁿ+1 is also true.     

Crack path instabilities in DCDC experiments in the low speed regime

We studied the low speed fracture regime (10⁻⁴-10⁻⁹ m s⁻¹) in different glassy materials (soda-lime glass, glass ceramics) with variable but controlled length scale of heterogeneity. The chosen mechanical system enabled us to work in pure mode I (tensile) and at a fixed load on double cleavage drilled compression specimen. The internal residual stresses of studied samples were carefully relaxed by appropriate thermal treatment. By means of optical and atomic force microscopy techniques fracture surfaces have been examined. We have shown for the first time that the crack front line underwent an out-of-plane oscillating behavior as a result of a reproducible sequence of instabilities. The wavelength of such a phenomenon is in the micrometer range and its amplitude in the nanometer range. These features were observed for different glassy materials providing that a typical length scale characterizing internal heterogeneities was lower than a threshold limit estimated to few nanometers. This effect is the first clear experimental evidence of crack path instabilities in the low speed regime in a uniaxial loading experiment. This phenomenon has been interpreted by referring to the stability criterion for a straight crack propagation as presented by Adda-Bedia et al. [Phys. Rev. Lett. 76 (1996) 1497].     

基于PCI总线和DSP技术的生物芯片测控与采集系统

本文在介绍激光共聚焦生物芯片扫描仪结构原理基础上，论述了基于DSP的PC测控采集技术、基于PCI总线的PC与DSP通信技术等关键技术。     

根据过采样和求均值理论提高ADC 测量分辨率

8bit嵌入式单片机系统A／D变换的两个关键指标是有效分辨率和信噪比(SNR)。通过对过采样(Over sample)和求均值(Average)理论的分析，得出“对噪声源的特性为白噪声的信号，每增加一位分辨率可以通过用4倍的过采样频率进行采样来达到。而分辨率每增加一位将使SNR增加6dB”的结论。进而采用8bit徽处理器内嵌12bit ADC成功实现了16bit ADC的精度,即小数点后两位(25．99℃)的温度测量，和小数点后四位(2．4299 V)的直流电压测量．     

微区电阻测试方法及新测试仪研制

文章对国内外开展微区薄层电阻测试的方法进行了综述，特别对改进范德堡四探针技术方法的测试原理、测试过程与测试结果进行了论述与分析，对微区电阻测试方法的进一步发展提出了一种可操作的方法，并研制出新型四探针测试样机。     

一种简单的S参数去嵌入技术

介绍了在低成本夹具上，任意微带结构二端口网络S参数去嵌入的方法；该方法用于获取放大器模块的S参数，根据这些参数设计的C波段的放大器实测结果与仿真一致。     

New Branch-and-Cut Algorithm for Bilevel Linear Programming

Linear mixed 0–1 integer programming problems may be reformulated as equivalent continuous bilevel linear programming (BLP) problems. We exploit these equivalences to transpose the concept of mixed 0–1 Gomory cuts to BLP. The first phase of our new algorithm generates Gomory-like cuts. The second phase consists of a branch-and-bound procedure to ensure finite termination with a global optimal solution. Different features of the algorithm, in particular, the cut selection and branching criteria are studied in details. We propose also a set of algorithmic tests and procedures to improve the method. Finally, we illustrate the performance through numerical experiments. Our algorithm outperforms pure branch-and-bound when tested on a series of randomly generated problems. Work of the authors was partially supported by FCAR, MITACS and NSERC grants.     

A second-order accurate numerical method for a fractional wave equation

We study a generalized Crank–Nicolson scheme for the time discretization of a fractional wave equation, in combination with a space discretization by linear finite elements. The scheme uses a non-uniform grid in time to compensate for the singular behaviour of the exact solution at t = 0. With appropriate assumptions on the data and assuming that the spatial domain is convex or smooth, we show that the error is of order k ² + h ², where k and h are the parameters for the time and space meshes, respectively.     

The q-numerical radius of weighted shift operators with periodic weights

We deal with the q-numerical radius of weighted unilateral and bilateral shift operators. In particular, the q-numerical radius of weighted shift operators with periodic weights is discussed and computed.