0真的应该成为自然数吗

1关于0是否为自然数的争议在全球范围内,0是否可以作为自然数,目前争论依旧存在:一种观点认为0不是自然数(即自然数为1,2,3,4,…),另一种观点认为0可以作为自然数(即自然数为0,1,2,3,4,…).中国大陆遵循1993年颁布的《中华人民共和国国家标准》(GB3100-3102-93)中的《量和单位》,规定自然数包括0.根据这一国家标准,在     

反式聚乙炔链色散关系的维度效应

利用经典力学方法研究了二维反式聚乙炔链的光学模和声学模的维度效应.链的二聚化引起系统的对称性降低,从而导致光频支格波和声频支格波的宽度(ω2+(k=0)-ω2-(k=0))明显变窄,而对BZ边界面上两支格波的间隙(ω2+(k=π/a)-ω2-(k=π/a))几乎没有影响.     

YBa2Cu3O7-x的金属-绝缘体转变

借助于局域化的标度理论,我们对层状结构系统引进一个由电导各向异性或层间耦合决定的有效维度,认为电导的减小和有效维度的降低是YBa₂Cu₃O_7-x和其它氧化物金属-绝缘体转变的原因,同时也讨论了有限温度的标度理论以解释正常态电阻率的温度行为。 关键词：     

Painlevé Analysis and Determinant Solutions of a （3＋1）-Dimensional Variable-Coefficient Kadomtsev-Petviashvili Equation in Wronskian and Grammian Form

In this paper, the investigation is focused on a （3＋1）-dimensional variable-coefficient Kadomtsev- Petviashvili （vcKP） equation, which can describe the realistic nonlinear phenomena in the fluid dynamics and plasma in three spatial dimensions. In order to study the integrability property of such an equation, the Painlevé analysis is performed on it. And then, based on the truncated Painlevé expansion, the bilinear form of the （3＋1）-dimensionaJ vcKP equation is obtained under certain coefficients constraint, and its solution in the Wronskian determinant form is constructed and verified by virtue of the Wronskian technique. Besides the Wronskian determinant solution, it is shown that the （3＋1）-dimensional vcKP equation also possesses a solution in the form of the Grammian determinant.     

高维辅助的普适量子线路优化

受到Lanyon等(Lanyon B P et al 2008 Nature Physics. 5 134)利用高维Hilbert空间成功简化Toffoli门的启发, 本文将辅助维度应用到普适量子线路中, 结合Cosine-Sine Decomposition(CSD), Quantum Shannon Decomposition(QSD)等矩阵分解方法, 优化了两比特和三比特普适幺正量子线路, 给出了计算n比特普适量子线路复杂度的公式, 并利用线性光学和腔QED系统设计了实验方案. 结果表明, 两比特和三比特量子线路的复杂度已分别接近和优于目前最优结果, 且随着比特数的增加, 本方案的优势愈加明显.     

汉语语境下的车辆噪声听觉属性评价与分析

研究了等响度车辆噪声听觉属性的空间维度及其汉语表述。首先通过问卷调查确定评价车辆噪声听觉属性的汉语描述词,然后完成基于成对比较法和语义细分法的主观评价实验,获得听觉属性的不相似度矩阵及描述词的等级顺序。最后,利用多维尺度分析和主成分分析法得到独立的用中文表达的车辆噪声听觉属性,结果表明:对于等响度的车辆噪声,其听觉属性可以用三个维度表示,分别用“粗糙”、“刺耳”和“起伏”描述。     

On the exact Hausdorff measure of a class of self-similar sets satisfying open set condition

In this paper,we provide a new effective method for computing the exact value of Hausdorff measures of a class of self-similar sets satisfying the open set condition(OSC).As applications,we discuss a self-similar Cantor set satisfying OSC and give a simple method for computing its exact Hausdorff measure.     

DECIMAL SET WITH ZERO MEASURE AND FULL HAUSDORFF DIMENSION

Let Fκ = {χ ε (0,1)｜{2^nχ} ≥ 1/2^κ,n ε Z }, Z = {0,1,2,3}, κ ε N;F = Uκ^∞=1Fκ be a decimal set in (0, 1), where {2^nχ} is the fractional part of a number 2^nχ. In this note, we prove that dimHF = 1 and H^1(F) =0, where dimH is Hausdr off dimension, and H^1(F) is the Hausdorff measure of F.     

基于结构方程的城市轨道交通建设项目后评价研究

随着我国城市轨道交通建设项目的快速发展,其在效益、影响、成功度等各方面的项目后评价越来越受到重视.但目前国内在这方面的研究不多,根据建设项目后评价的目的和内容,结合城市轨道交通的特点,通过文献调研与专家访谈等方法建立了城市轨道交通建设项目后评价指标体系,并通过实地调研与统计分析对指标体系的科学性进行了客观检验,在此基础上利用结构方程对后评价模型进行了实证研究.     

Multilinear Hausdorff operators and their best constants

In this paper, we study two different extensions of the Hausdorff operator to the multilinear case. Boundedness on Lebesgue spaces and Herz spaces is obtained. The bound on the Lebesgue space is optimal. Our results are substantial extensions of some known results on Multilinear high dimensional Hardy operator.