MFRG-DPIR FOR THE DISORDERED TRANSVERSE ISING MODEL

A new approximate scheme which is combined by the mean-field renormalization group theory (MFRG) with the discretized path-integral renormalization (DPIR) is employed in the study of the disordered tranverse Ising model (TIM). The critical properties of random-bonds Ising systems on a d-dimensional lattice are calculated with this new approximate scheme.     

特定最大功率传输问题探讨

本文通过理论计算给出几种特定情况下的功率传输问题。     

碳酸钕对AZ91合金组织的细化和腐蚀性能的影响

通过介绍实验条件实验方法及结果,并对其进行讨论,研究碳酸钕对A291合金组织的细化和腐蚀性能的影响。     

从科学哲学视角论经济学研究范式的二重性

基于对西方经济学研究范式变更的历史背景的考察，从科学哲学的视角剖析了实证经济学研究范式与规范经济学研究范式在哲学基础与方法论意义上的区别与联系，提出了经济学研究范式的二重性概念。     

关于对高速公路养护管理的探讨

通过对高速公路养护管理特点、原则、主要内容的阐述,分析并指出现阶段我国高速公路养护管理存在的问题,并对高速公路养护管理的发展提出了的几点建议。     

Detecting myocardial ischemia with 2-D CVIB imaging method--an in vivo animal experiment study

A 2-D cyclic variation of integrated backscatter (CVIB) imaging method was established for detecting myocardial ischemia. To demonstrate the feasibility and validity of this method, animal experiments were conducted. Acute myocardial ischemia was induced by occluding left anterior descending coronary artery in 10 anesthetized open-chest dogs. While scanning the normal hearts and the ischemic hearts with a B scanner, digital radiofrequency data were acquired by a real-time acquisition system in synchronism. The offline analysis to the radio-frequency signal with the 2-D CVIB imaging method was performed to verify the consistency between the imaging result and the design of the experiment. In addition, 4 dogs in experiment were treated with the heart pacemaker in order to investigate the influence of changing in heart rate on the detection of ischemic myocardium with the proposed method. The experimental result showed that the 2-D CVIB imaging method succeeded in detecting the ischemic myocardium and is a new non-invasive way for the cardiologists to both quantitatively and visually evaluate the contractile performance of the myocardium.     

Ruin Probability with Variable Premium Rate and Disturbed by Diffusion in a Markovian Environment

We consider a risk model with a premium rate which varies with the level of free reserves. In this model, the occurrence of claims is described by a Cox process with Markov intensity process, and the influence of stochastic factors is considered by adding a diffusion process. The integro-differential equation for the ruin probability is derived by a infinitesimal method.     

轧制法生产高复基比不锈复合钢板和钢带的开发应用

不锈钢复合板既具有不锈钢的耐腐蚀性、耐磨性、抗磁性、豪华性和装饰性;又具碳钢良好的可焊性、成型性、拉延性和导热性,还可节约镍铬合金、降低成本,因而具有广阔的发展前景,值得大力推广应用.     

马房沟提水工程首部引水枢纽优化设计

为使工程布置和建筑物设计更趋经济实用、安全合理，文章从引水工程布局、运行调度、工程投资、管理维护等方面对马房沟提水工程首部引水枢纽的设计方案进行了优化比选。     

Newton's Easy Quadratures ``Omitted for the Sake of Brevity'

In the 1687 Principia, Newton gave a solution to the direct problem (given the orbit and center of force, find the central force) for a conic-section with a focal center of force (answer: a reciprocal square force) and for a spiral orbit with a polar center of force (answer: a reciprocal cube force). He did not, however, give solutions for the two corresponding inverse problems (given the force and center of force, find the orbit). He gave a cryptic solution to the inverse problem of a reciprocal cube force, but offered no solution for the reciprocal square force. Some take this omission as an indication that Newton could not solve the reciprocal square, for, they ask, why else would he not select this important problem? Others claim that ``it is child's play' for him, as evidenced by his 1671 catalogue of quadratures (tables of integrals). The answer to that question is obscured for all who attempt to work through Newton's published solution of the reciprocal cube force because it is done in the synthetic geometric style of the 1687 Principia rather than in the analytic algebraic style that Newton employed until 1671. In response to a request from David Gregory in 1694, however, Newton produced an analytic version of the body of the proof, but one which still had a geometric conclusion. Newton's charge is to find both ``the orbit' and ``the time in orbit.' In the determination of the dependence of the time on orbital position, t(r), Newton evaluated an integral of the form ∫dx/x <sup>n</sup> to calculate a finite algebraic equation for the area swept out as a function of the radius, but he did not write out the analytic expression for time t = t(r), even though he knew that the time t is proportional to that area. In the determination of the orbit, θ (r), Newton obtained an integral of the form ∫dx/√(1−x<sup>2</sup>) for the area that is proportional to the angle θ, an integral he had shown in his 1669 On Analysis by Infinite Equations to be equal to the arcsin(x). Since the solution must therefore contain a transcendental function, he knew that a finite algebraic solution for θ=θ(r) did not exist for ``the orbit' as it had for ``the time in orbit.' In contrast to these two solutions for the inverse cube force, however, it is not possible in the inverse square solution to generate a finite algebraic expression for either ``the orbit' or ``the time in orbit.' In fact, in Lemma 28, Newton offers a demonstration that the area of an ellipse cannot be given by a finite equation. I claim that the limitation of Lemma 28 forces Newton to reject the inverse square force as an example and to choose instead the reciprocal cube force as his example in Proposition 41. (Received August 14, 2002) Published online March 26, 2003 Communicated by G. Smith