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31.
结合边连通度,本文探讨了3-边连通简单网的独立数与上可嵌人性的关系,我们得到了下列结果:设G是一个3-边连通简单图,α(G)是G的独立数,若α/(G)≤5,则G是上可嵌入的,同时我们又得到了两个在3-边连通意义下最小的非上可嵌入图例. 相似文献
32.
LIUYan HUYi-jun 《武汉大学学报:自然科学英文版》2004,9(4):399-403
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. 相似文献
33.
J. Bruce Brackenridge 《Archive for History of Exact Sciences》2003,57(4):313-336
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
n
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−x2) 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 相似文献
34.
沿海城市以海水为工业用水,其废水经处理后,用标准方法测定COD 时,产生了几十倍甚至于上百倍的正误差,当改用研究的“高氯废水COD 测定方法”测定时,有效地消除了 Cl~-离子对 COD 测定的影响,测定结果的准确度及精密度均符合我国“环境监测技术规范”的规定。 相似文献
35.
Zhongsheng WANG Zhigang ZENG Xiaoxin LIAODepartment of Control Science Engineering Huazhong University of Science Technology Wuhan Hubei P. R. China 《系统科学与系统工程学报(英文版)》2003,12(2):204-209
Some stability criteria are obtained for a class of uncertain systems with time-delay usingLyapunov functional and analytic techniques. It is easy to check the criteria by making use of theboundedness of the uncertainties. 相似文献
36.
Ju-liang ZHANG Jian CHENDepartment of Management Science EngineeringSchool of Economics Management Tsinghua University Beijing China. 《系统科学与系统工程学报(英文版)》2003,12(3):360-371
This paper investigates the impact of a secondary market, where retailers can buy and sell excessinventories, on the supply chain. We develop a two-period model with a single manufacturer and tworetailers. At the beginning of the first period the retailers order and receive products from themanufacturer, but at the beginning of the second period, they can trade surplus products betweenthemselves in the secondary market. We investigate the impact of the correlated dependence ofretailers' demand on both the quantity effect and the allocation effect under the secondary market.Lastly,we study potential strategies for the manufacturer to increase sales with the existence of thesecondary market. 相似文献
37.
FROM MANUFACTURING SCHEDULING TO SUPPLY CHAIN COORDINATION:THE CONTROL OF COMPLEXITY AND UNCERTAINTY
Peter B.LUH 《系统科学与系统工程学报(英文版)》2003,12(3):279-297
With time-based competition and rapid technology advancements, effective manufacturingscheduling and supply chain coordination are critical to quickly respond to changing marketconditions. These problems, however, are difficult in view of inherent complexity and variousuncertainties involved. Based on a series of results by the authors, decomposition and coordination byusing Lagrangian relaxation is identified in this paper as an effective way to control complexity anduncertainty.A manufacturing scheduling problem is first formulated within the job shop context withuncertain order arrivals, processing times, due dates, and part priorities as a separable optimizationproblem. A solution methodology that combines Lagrangian relaxation, stochastic dynamicprogramming, and heuristics is developed. Method improvements to effectively solve large problemsare also highlighted. To extend manufacturing scheduling within a factory to coordinate autonomicmembers across chains of suppliers, a decentralized supply chai 相似文献
38.
萃取浮选光度法测定微量钼的研究及应用 总被引:2,自引:0,他引:2
研究了用甲苯萃取浮选Mo(Ⅴ)—SCN~-—Kφ三元络合物的各种条件。在硫酸介质中,紫红色络合物最大吸收波长位于585nm,摩尔吸光系数为2.8×10~5l·mol~(-1)·cm~(-1),钼量在0—10μg/25ml范围内符合比耳定律。大量常见元素均不干扰,40倍的钨(Ⅵ)亦不干扰钼的测定,方法已应用于钨矿中微量钼的测定,其结果令人满意。 相似文献
39.
40.
根据山西省现有公路和桥梁状况,为恢复和提高旧桥的承载能力及通过能力,延长桥梁使用寿命,迫切需要进行评价和加固改造。 相似文献