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41.
王勤 《东华大学学报(英文版)》2002,19(1)
We study in this paper a Hilbert space HV associated with the coarse geometry of an infinite connected graph X(V,E) with vertex set V and edge set E. We show that X( V, E) is uniformly expanding if and only if l2( V) can be continuously included in HV as a closed subspace, and that the inner product structure of HV is topologically invariant under uniform coarsening of the graph. We also discuss the functorial properties of these Hilbert spaces. 相似文献
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通过加土的方法得到不同泥土含量的集料,进行砂当量试验,并用不同砂当量值的集料制成成心性稀浆封层混合料进行湿轮磨耗试验,试验结果表明,砂当量与集料中的泥土含量存在良好的线性关系,是评价细集料洁净程度的有效方法,试验中集料级配和取样均匀程度会对试验结果产生一定影响,砂当量低的集料会使改性剂无法发 对心性稀浆封层混合料的改性效果,建议用于心性稀浆封层的的细集料砂当量不低于60%。 相似文献
44.
对老式油压材料试验机进行技术改造的方案是利用原试验机结构框架和加载系统。改进落后的测试系统使其达到现代科技水平。本文论述了进行改造的项目、工作原理、实施方法。方案一经买施.对拥有大量老式油压材料试验机的我国.其社会效益和经济效益都将是十分可观的。 相似文献
45.
近终形连铸技术是当今冶金科技领域的一门前沿学科。本文介绍目前近终形连铸技术的发展及趋势。在世界各国的研究中,美国比较注重单辊法,日本侧重于双辊法,西欧则侧重于改进结晶器的结构和功能,开发新型铸机 相似文献
46.
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
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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
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