Model and empirical study on some collaboration networks

In this paper we present an empirical study of a few practical systems described by cooperation networks, and propose a model to understand the results obtained. We study four non-social systems, which are the Bus Route Networks of Beijing and Yangzhou, the Travel Route Network of China, Huai-Yang recipes of Chinese cooked food, and a social system, which is the Collaboration Network of Hollywood Actors. In order to explain the results related to the degree distribution, act-degree distribution and act-size distribution (especially about the degree distribution, which may be better fitted using a stretched exponential distribution (SED)), we suggest a simple model to show a possible evolutionary mechanism for the emergence of such networks. The analytic and numerical results obtained from the model are in good agreement with the empirical results.     

300 MW直接空冷机组启动冲洗工艺探讨

以华泽铝电空冷机组为例，对300MW直接空冷机组的启动冲洗工艺进行了探讨，并对其冲洗方法和冲洗原则进行了较为详细的介绍。     

Kerr介质中级联三能级原子与压缩相干态相互作用的光子统计演化

本文研究了存在Kerr介质的高Q腔中压缩相干态与级联三能级原子相互作用的光子统计演化规律,讨论了光场参数、Kerr介质及相干振幅对平均光子数的影响.     

胶束液相色谱／安培电化学检测尿样中的扑热息痛及4－氨基苯酚

用胶束液相色谱／安培检测器检测尿样中的扑热息痛及其主要水解产物４－氨基苯酚。采用１４．５μｍ的碳纤维电极作为工作电极，以高于临界胶束浓度的阴离子表面活性剂十二烷基磺酸钠（ＳＤＳ）作为液相色谱的流动相，尿样直接进样分析，扑热息痛和４－氨基苯酚的检测限分别为０．１３ｎｍｏｌ／Ｌ及０．７３ｎｍｏｌ／Ｌ（Ｓ／Ｎ＝２）。     

气相法制备N－乙基苯胺催化剂的研究进展

对苯胺、乙醇气相Ｎ－乙基化反应催化剂的制备及其活性进行了评述，特别是对近十年来的发展作出了较详细而深入的论述，指出研制这类反应催化剂的重要性和今后的发展方向。     

A study of a possible unified potential model

The various properties of quarkonium systems have been studies in the framework of a recently proposed potential model, which combines the asymptotic freedom at the largeQ ₂ and the multigluon effect at the lowerQ ₂ regions with the confinement at the large distance. Good agreements with experiments are found, including \(c\bar c\) and \(b\bar b\) energy levels, leptonic decay widths, and in particular the fine and hyperfine splittings. We also analyze the Lorentz structure of the confinement potential with reference to the charmonium and bottomium fine and hyperfine splittings. Our analyses conclude that almost pure scalar confinement is favored. The properties of \(t\bar t\) spectroscopies are studied over a wide range of \(M_{t\bar t}\) values (from 80 GeV to 200 GeV).     

Bombieri's theorem in short intervals

The well-known Bombieri-A. I. Vinogradov theorem states that (1) $$\sum\limits_{q \leqslant x^{\tfrac{1}{2}} (\log x)^{ - s} } {\mathop {\max }\limits_{(a,q) = 1} \mathop {\max }\limits_{y \leqslant x} } \left| {\psi (y,q;a) - \frac{y}{{\varphi (q)}}} \right| \ll \frac{x}{{(\log x)^A }},$$ whereA is an arbitrary positive constant,B=B(A)>0, and as usual, $$\psi (x,q;a) = \sum\limits_{\mathop {n \leqslant x}\limits_{n = a(q)} } {\Lambda (n),}$$ Λ being the Von Mangoldt's function. The problem of finding a result analogous to (1) for short intervals was investigated by many authors. Using Heath-Brown's identity and the approximate functional equation for DirichletL-functions, A. Perelli, J. Pintz and S. Salerno in 1985 established the following extension of Bombieri's theorem: Theorem 1. (2) $$\sum\limits_{q \leqslant Q} {\mathop {\max }\limits_{(a,q) = 1} \mathop {\max }\limits_{h \leqslant y} \mathop {\max }\limits_{\frac{x}{2}< \approx \leqslant x} } \left| {\psi (z + h,q;a) - \psi (z,q;a) - \frac{h}{{\varphi (q)}}} \right| \ll \frac{y}{{(\log x)^A }}$$ where A>0 is an arbitrary constant,y=x ^θ $$\frac{7}{{12}}< \theta \leqslant 1, Q = x^{\frac{1}{{40}}} .$$ ,Q=x ^1/40. By improving the basic lemma which A. Perelli, J. Pintz and S. Salerno used as the main tool to prove Theorem 1, we obtain Theorem 2.Under the same condition as in Theorem 1,for Q=x ^1/38.5, (2)still holds.     

冠状动脉粥样硬化病变中微量元素的X射线显微分析

本文应用EDAX-9100能谱仪,对家兔冠状动脉粥样硬化病变部位的微量元素进行显微分析,发现Zn/Cu比值大于1,提供了冠心病病因中“Zn/Cu假说”的实验论证。     

模糊集合论在矿山控制网布设和图纸质量评定中的应用

应用模糊数学方法研究和处理矿山测量中存在的具有“模糊性”的问题。例如控制网布设方案及矿山测量图纸质量的综合评判。它能更准确地描述用精确数学模型难以描述的问题。