ON THE ERROR-SUM FUNCTION OF ALTERNATING L(U)ROTH SERIES

The error-sum function of alternating Lüroth series is introduced, which, to some extent, discerns the superior or not of an expansion comparing to other expansions. Some elementary properties of this function are studied. Also, the Hausdorff dimension of graph of such function is determined.     

一种单摄像机虚拟鼠标的标定方法

建立单摄像机虚拟鼠标的数学模型,提出一种虚拟鼠标的现场标定方法.以二维实体靶标为中介.利用计算机屏幕生成的虚拟靶标,确定摄像机坐标系到屏幕坐标系的变换.建立空间三维控制点图像坐标到鼠标指针的映射,实现了单摄像机虚拟鼠标的现场标定.提出的方法无需高成本的辅助设备,现场操作简单.在30 cm作用距离内采用640 pixel×480 pixel图像中50个特征点,当图像噪声方差达到1 pixel时,试验中控制点映射为屏幕坐标的均方根(RMS)误差小于3 pixel.该方法应用于研发的虚拟鼠标演示程序.表明切实可行,适用于虚拟鼻尖鼠标的现场标定.     

The solving problem and the difference solving process for the shear of a bounded elastic bodies

ＩｎｔｒｏｄｕｃｔｉｏｎＡｎｅｌａｓｔｏｍｅｒ(ｃｏｍｐｒｅｓｓｉｂｌｅｏｒｉｎｃｏｍｐｒｅｓｓｉｂｌｅ)ｂｅｔｗｅｅｎｔｗｏｐａｒａｌｌｅｌｒｉｇｉｄｓｕｒｆａｃｅｓｉｓａｋｉｎｄｏｆｏｆｔｅｎｗｏｒｋｉｎｅｎｇｉｎｅｅｒｉｎｇａｎｄｔｅｃｈｎｏｌｏｇｙ.Ｔｈｅｓｔｕｄｙｆｏｒｉｔｓｄｅｆｏｒｍａｔｉｏｎｕｎｄｅｒｔｈｅｒｏｌｅｏｆｆｏｒｃｅｂｅｇａｎｍａｎｙｙｅａｒｓａｇｏ.Ｔａｒｇｅｔｓｔｕｄｉｅｄ—ｂｏｎｄｅｄｅｌａｓｔｉｃｂｏｄｙｉｓｄｉｖｉｄｅｄｉｎｔｏａｃｉｒｃｕｌａｒｃｙｌｉｎｄｒｉ…     

ON THE ERROR-SUM FUNCTION OF ALTERNATING LüROTH SERIES

The error-sum function of alternating Luroth series is introduced, which, to some extent, discerns the superior or not of an expansion comparing to other expansions. Some elementary properties of this function are studied. Also, the Hausdorff dimension of graph of such function is determined.     

ON THE ERROR-SUM FUNCTION OF ALTERNATING LǖIROTH SERIES

The error-sum function of alternating Lǖroth series is introduced, which, to some extent, discerns the superior or not of an expansion comparing to other expansions. Some elementary properties of this function are studied. Also, the Hausdorff dimension of graph of such function is determined.     

New Conservative Schemes for Regularized Long Wave Equation

In this paper, two finite difference schemes are presented for initial-boundary value problems of Regularized Long-Wave(RLW) equation. They all have the advantages that there are discrete energies which are conserved. Convergence and stability of difference solutions with order O(h2 τ2) are proved in the energy norm. Numerical experiment results demonstrate the effectiveness of the proposed schemes.     

阿硅正传

Silicon is the second most abundant element in the earth's crust, and its compounds are indispensable in our production and life. The application and prospect of Silicon and its compounds are described in this paper from the perspective of Silicon's past life, present life and future.     

The finite element method for the coupled Schrödinger-KdV equations

In this Letter, we employ finite element method to study a periodic initial value problem for the coupled Schrödinger-KdV equations. For the case of one dimension, this problem is reduced to a system of ordinary differential equations by using a semi-discrete scheme. The conservation properties of this scheme, the existence and uniqueness of the discrete solutions, and error estimates are presented. In numerical experiments, the resulting system of ordinary differential equations are solved by Runge-Kutta method at each time level. The superior accuracy of this scheme is shown by comparing the numerical solutions with the exact solutions.     

量子信息讲座 第五讲 量子克隆与量子复制

量子态不可克隆体现了量子力学的固有特性,它是量子信息科学的重要基础之一．文章简要介绍了量子不可克隆定理的物理内容以及量子复制机的基本原理,通过幺正坍缩过程我们构造了一种概率量子克隆机,并论证所有线性无关的量子态都可以被概率量子克隆机克隆     

Sol-gel preparation and photoluminescence property of YBO3:Eu/Tb nanocrystalline thin films

YBO₃:Eu³⁺/Tb³⁺ nanocrystalline thin films were successfully deposited onto quartz glass substrates by Pechini sol-gel dip-coating method, using rare-earth nitrates and boric acid as starting materials. The crystal structure, morphology, chemical composition and photoluminescence property of the films were investigated by X-ray diffraction (XRD), atomic force microscopy (AFM), X-ray photoelectron spectroscopy (XPS), Fourier transform infrared (FTIR) spectroscopy and fluorescence spectrophotometer. The results of XRD, AFM, XPS and FTIR revealed that the films were composed of spherical YBO₃:Eu³⁺/Tb³⁺ nanocrystals with average grain size of 80 nm. The YBO₃:Eu³⁺ film exhibited strong orange emission at 595 nm and red emission at 615 nm, which were, respectively ascribed to the (⁵D₀→⁷F₁) and (⁵D₀→⁷F₂) transitions of Eu³⁺. The YBO₃:Tb³⁺ film showed dominant green emission at 545 nm due to the ⁵D₄-⁷F₅ transition of Tb³⁺.