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在中学,图形的相似和位似是两个教学内容.
定义1 如果两个多边形满足对应角相等,对应边成比例,那么这两个多边形相似.
定义2 两个多边形相似,而且对应顶点的连线相交于一点,对应边平行或共线,这样的两个图形叫做位似图形,这个点叫做位似中心. 相似文献
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Qi Zhang 《数学学报(英文版)》2014,30(3):517-524
A one-dimensional continuous function of unbounded variation on [0,1] has been constructed.The length of its graph is infnite,while part of this function displays fractal features.The Box dimension of its Riemann–Liouville fractional integral has been calculated. 相似文献
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Let a and b be fixed positive integers.In this paper,using some elementary methods,we study the diophantine equation(a~m-1)(b~n-1)= x~2.For example,we prove that if a ≡ 2(mod 6),b ≡ 3(mod 12),then(a~n-1)(b~m-1)= x~2 has no solutions in positive integers n,m and x. 相似文献
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This note considers parameter estimation for panel vector autoregressive models with intercorrelation. Conditional least squares estimators are derived and the asymptotic normality is established. A simulation is carried out for illustration. 相似文献
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本文对[1]中关于一类HJ方程的Godunov通量的命题作出改进,并给出新的证明. 相似文献
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In [6],it is proved that Erceg's pseudo-metric and pointwise pseudo-metric presented by Shi are equivalent.In this paper,it is proved that Theorem 1 in[6] is wrong.Further it is proved that Erceg's pseudo-metric and pointwise pseudo-metric are not equivalent in the sense of topology. 相似文献
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本文研究了一类整数序列(2n)2n 1的某些性质,利用费玛数和数论函数的某些性质,获得了验证此类整数是否是亲和数和完全数的方法,既不与其他正整数构成亲和数对也不是完全数. 相似文献
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Ling Liu Zhengming Huang 《Acta Mechanica Solida Sinica》2014,27(3):234-244
Explicit expressions of Mori-Tanaka's tensor for a transversely isotropic fiber rein- forced UD composite are presented. Closed-form formulae for the effective elastic properties of the composite are obtained. In a 3D sense, the resulting compliance tensor of the composite is symmetric. Nevertheless, the 2D compliance tensor based on a deteriorated Mori-Tanaka's tensor is not symmetric. Nor is the compliance tensor defined upon a deteriorated 2D Eshelby's tensor. The in-plane effective elastic properties given by those three approaches are different. A detailed comparison between the predicted results obtained from those approaches with experimental data available for a number of UD composites is made. 相似文献