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杨世洲 《纯粹数学与应用数学》2002,(4)
作为 C1 1 -模和 C1 2 -模的推广 ,本文定义了 1型χ- C1 1 模和 1型χ- C1 2 模 ,证明了 1型χ- C1 1 模都是 1型χ- C1 2 模 ,并研究了这些模的相关性质 . 相似文献
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具有白指数律重合性的GM(1,1)模型 总被引:18,自引:2,他引:16
穆勇 《数学的实践与认识》2002,32(1):15-19
通过分析 GM( 1 ,1 )建模机理 ,找出了 GM( 1 ,1 )模型不具有白指数律重合性的原因 ,并在此基础上 ,提出了建立 GM( 1 ,1 )模型的新方法 .新方法克服了原方法不具有白指数律重合性的缺陷 ,突破了 | a|较大时GM( 1 ,1 )模型不能应用的禁区 ,提高了建模的精度 . 相似文献
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在三角形中,[1]提出了一个有关角平分线的猜想 1/t_a 1/t_b 1/t_c>1/a 1/b 1/c 文[1]首先给出了一个并不复杂的证明,但用到一些三角函数的变换,文[2]对此作了很好的简化。但都离不开借助三角 相似文献
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探讨了极限limn→∞(1+(2+…+(n-1+n~(1/2))~(1/2))~(1/2))~(1/2)的存在性,给出了极限值的估计方法,并将该数列极限问题进行了推广. 相似文献
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本文部分解决了 Kac[1]提出的问题,即计算了 C_2~((1)),C_4~((1)),C_6~((1)),C_7~((1))的所有水平1的弦函数. 相似文献
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笔者在数学活动课上讲了一道求值题:(2+1)(22+1)(24+1)(28+1)(216+1)=(2-1)(2+1)(22+1)(24+1)(26+1)(216+1)=(22-1)(22+1)(24+1)(28+1)(216+1)=(24-1)(24+1)(28+1)(216+1)=(28-1)(28+1)(216+1)=(216-1)(216+1)=232-1.班上的数学迷小军把这种方法称为“放鞭炮”,还真有点形象,利用结合律“点着”第一个“鞭炮”后,一串“鞭炮”便一个接着一个放开了.一提“放鞭炮”,同学们兴致来了,课下,同学们“制造并燃放”了许多“数学鞭炮”: 相似文献
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本文部分解决了 Kac[1]提出的问题,即计算了 C_2~((1)),C_4~((1)),C_6~((1)),C_7~((1))的所有水平1的弦函数. 相似文献
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《中学生数学》2002,(20)
初一年级1.1*(2*3)一…磊) 1一(一百1)吾 -×c一÷,一÷一1*(一÷) Oz.设s一志 纛 斋 ..· 裟.则2S=(志 篇) (志 淼) .“ (型2002 上2002) { 、 l , 一!±!土:::±!。。。。1_ 200l十I.·.s=T2001=1000.5.3.第一次截去专,第二次截去(1一T1,/、了1一西i巧, 第三次截去(1一T1)(1一了1)x T1=了1 x T1… 第20。2次截去(1一丁1)(1一了1)(1一T1)…(1一 志,×志一志×志. 所以连续截2002次,共截去 丁1十虿1^了1十了1×T1 … 志×志 一土 上一土 土一上 … —L一—l_ 2’2 3。3 4’ ‘2002 2003—1一志一丽2002(米).或考虑剩余,连续截2002次后… 相似文献
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ZHENG ShiJun 《分析论及其应用》2004,20(3)
Schr(o)dinger operator is a central subject in the mathematical study of quantum mechanics.Consider the Schrodinger operator H = -△ V on R, where △ = d2/dx2 and the potential function V is real valued. In Fourier analysis, it is well-known that a square integrable function admits an expansion with exponentials as eigenfunctions of -△. A natural conjecture is that an L2 function admits a similar expansion in terms of "eigenfunctions" of H, a perturbation of the Laplacian (see [7], Ch. Ⅺ and the notes), under certain condition on V. 相似文献
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We study a class of self-similar processes with stationary increments belonging to higher order Wiener chaoses which are similar to Hermite processes. We obtain an almost sure wavelet-like expansion of these processes. This allows us to compute the pointwise and local Hölder regularity of sample paths and to analyse their behaviour at infinity. We also provide some results on the Hausdorff dimension of the range and graphs of multidimensional anisotropic self-similar processes with stationary increments defined by multiple Wiener–Itô integrals. 相似文献
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It is considered the class of Riemann surfaces with dimT1 = 0, where T1 is a subclass of exact harmonic forms which is one of the factors in the orthogonal decomposition of the spaceΩH of harmonic forms of the surface, namely The surfaces in the class OHD and the class of planar surfaces satisfy dimT1 = 0. A.Pfluger posed the question whether there might exist other surfaces outside those two classes. Here it is shown that in the case of finite genus g, we should look for a surface S with dimT1 = 0 among the surfaces of the form Sg\K , where Sg is a closed surface of genus g and K a compact set of positive harmonic measure with perfect components and very irregular boundary. 相似文献
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《高校应用数学学报(英文版)》2014,29(4)
正Applied Mathematics-A Journal of Chinese Universities,Series B(Appl.Math.J.Chinese Univ.,Ser.B)is a comprehensive applied mathematics journal jointly sponsored by Zhejiang University,China Society for Industrial and Applied Mathematics,and Springer-Verlag.It is a quarterly journal with 相似文献
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《数学研究及应用》2014,(6)
正Journal overview:Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,one of the transactions of China Society for Industrial and Applied Mathematics,is a home for original research papers of the highest quality in all areas of mathematics with applications.The target audience comprises:pure and applied mathematicians,graduate students in broad fields of sciences and technology,scientists and engineers interested in mathematics. 相似文献
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A cumulative-capacitated transportation problem is studied. The supply nodes and demand nodes are each chains. Shipments from a supply node to a demand node are possible only if the pair lies in a sublattice, or equivalently, in a staircase disjoint union of rectangles, of the product of the two chains. There are (lattice) superadditive upper bounds on the cumulative flows in all leading subrectangles of each rectangle. It is shown that there is a greatest cumulative flow formed by the natural generalization of the South-West Corner Rule that respects cumulative-flow capacities; it has maximum reward when the rewards are (lattice) superadditive; it is integer if the supplies, demands and capacities are integer; and it can be calculated myopically in linear time. The result is specialized to earlier work of Hoeffding (1940), Fréchet (1951), Lorentz (1953), Hoffman (1963) and Barnes and Hoffman (1985). Applications are given to extreme constrained bivariate distributions, optimal distribution with limited one-way product substitution and, generalizing results of Derman and Klein (1958), optimal sales with age-dependent rewards and capacities.To our friend, Philip Wolfe, with admiration and affection, on the occasion of his 65th birthday.Research was supported respectively by the IBM T.J. Watson and IBM Almaden Research Centers and is a minor revision of the IBM Research Report [6]. 相似文献
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