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X-ray Powder Diffraction Pattern of Bi_4(SiO_4)_3

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Journal of Materials Science & Technology 1997年第2期13卷 145-148页

作者： Hongchao LIU changlin kuo (Shanghai Institute of Ceramics, Chinese Academy of Sciences, Shanghai 200050, China) Shanghai Institute of Ceramics Chinese Academy of Sciences Shanghai 200050 China

In cooperation with figure-of-merits the Rietveld analysis can appraise both angular and intensity data of powder diffraction. In this work, X-ray diffraction pattern of Bi4(SiO4)3 was redetermined with intensity figure-of-merits, which qualify agreement between observed and calculated relative intensities. F30 is 158.90 (0.0059, 32), intensity figure of merit Rint is 8.7, I20(17), 8.0. The values of figure-of-merits show that the data of JCPDS cards are distorted. Both the experimental and calculated peak positions and heights are listed in detail.

关键词： SiO4 X-ray Powder Diffraction Pattern of Bi4 Bi

General solution model and its new progress

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International Journal of Minerals,Metallurgy and Materials 2022年第4期29卷 577-585页

作者： kuo-Chih Chou University of Science and Technology Beijing Beijing 100083China

The physicochemical properties of multicomponent systems are involved in all fields of chemistry and have received attention from various related areas such as minerals,metallurgy,material science,environment,biology,and *** present,the relevant data can be obtained by using two major calculation methods,namely,the first principle method and the empirical *** the former has achieved recent great progress,it is still a long way to offer practical data;while the latter has not received progress for almost half a ***,a new method that is theoretically reasonable and accurate in practical application is necessary to obtain practical and precise physicochemical data for ternary and multicomponent *** this paper,a new theoretical model is suggested based on its corresponding binary *** feasibility of this theoretical model is discussed in terms of both theoretical analysis and practical performance.

关键词： multicomponent system physicochemical properties solution model phenomenological theory

Green's Function for Periodic Solutions in Alternately Advanced and Delayed Differential Systems

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Acta Mathematicae Applicatae Sinica 2020年第4期36卷 936-951页

作者： kuo-Shou CHIU Departamento de Matematica Facultad de Ciencias BasicasUniversidad Metropolitana de Ciencias de la EducacionSantiagoChile

In this paper we investigate the existence of the periodic solutions of a nonlinear differential equation with a general piecewise constant argument,in short DEPCAG,that is,the argument is a general step *** consider the critical case,when associated linear homogeneous system admits nontrivial periodic *** of existence of periodic solutions of such equations are *** the process we use the Green?s function for periodic solntions and convert the given DEPCAG into an equivalent integral *** we construct appropriate mappings and employ Krasnoselskii's fixed point theorem to show the existence of a periodic solution of this type of nonlinear differential *** also use the contraction mapping principle to show the existence of a unique periodic *** examples are given to show the feasibility of our results.

关键词： piecewise constant arguments Green's function periodic solutions hybrid equations fixed point theorems

ON ACTION-MINIMIZING SOLUTIONS OF THE TWO-CENTER PROBLEM

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Acta Mathematica Scientia 2022年第6期42卷 2450-2458页

作者： kuo-Chang CHEN Department of Mathematics National Tsing Hua UniversityHsinchuTaiwanChina

The two-center problem,also known as Euler's three-body problem,is a classic example of integrable *** its periodic solutions,planetary type solutions are periodic solutions which enclose both *** by advances on n-body and n-center problems via variational techniques developed during the past two decades,a recent paper(***.2022)shows the minimizing property of planetary type solutions for any given masses of centers at fixed positions,as long as the period is above a mass-dependent threshold *** this paper,we provide further discussions regarding this minimizing *** particular,we improve the above-mentioned mass-dependent threshold value by refining estimates for action values.

关键词： two-center problem n-body problem variational method collision singularity

A new model for evaluating the electrical conductivity of nonferrous slag

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International Journal of Minerals,Metallurgy and Materials 2009年第5期16卷 500-504页

作者： kuo-Chih Chou School of Metallurgical and Ecological Engineering University of Science and Technology Beijing

Electrical conductivity of molten slag is an important physicochemical property for designing the refming process in electric smelting furnaces. Though conductivities of many slag systems have been measured, the quantitative relationships of conductivity with slag composition and temperature are still very limited. In this article, the Arrhenius law was used to describe the experimental data of conductivities for CaO-MgO-Al2O3-SiO2, CaO-Al2O3-SiO2, CaO-MnO-AlEO3-SiO2, as well as CaO-MgO-MnO- Al2O3-SiO： systems, and it is found that activation energy can be expressed as a linear function of the content of components, where the optical basicity of slag must be within the range of 0.58 to 0.68.

关键词： electrical conductivity Arrhenius law activation energy optical basicity

TAUBERIAN THEOREMS FOR WEAK ALMOST CONVERGENT FUNCTIONS

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Acta Mathematica Scientia 2011年第3期31卷 1203-1212页

作者： Meng-Kuang kuo Center for General Education Jen- Teh Junior College of Medicine Nursing and Management NO 79-9 Sha-Luen Hu Xi-Zhou Li Hou-Loung Town Miaoli County Taiwan China

The almost convergent function which was introduced by Raimi [6] and discussed by Ho [4], Das and Nanda [2, 3], is the continuous analogue of almost convergent sequences （see [5]）. In this paper, we establish the Ta... 详细信息

关键词： almost convergent functions weak almost convergent functions Tauberian theorems Cauchy criterions

A Three-Point Method for Separating Incident and Reflected Waves over A Sloping Bed

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China Ocean Engineering 2002年第4期17卷 499-511页

作者： CHANG Hsien-kuo Department of Civil Engineering National Chiao Tung UniversityHsinchu 300China

This study presents a three-point method for separating incident and reflected waves to explain normally incident waves' propagating over a sloping bed. linear wave shoaling is used to determine changes in wave amplitude and phase in response to variations of bathymetry. The wave reflection coefficient and incident amplitude are estimated from wave heights measured at three fixed wave gauges with unequal spacing. Sensitivity analysis demonstrates that the proposed method can predict the reflection and amplitude of waves over a sloping bed more accurately than the two-point method.

关键词： reflected wave wave shoaling sloping bed

ASYMPTOTIC EQUIVALENCE OF ALTERNATELY ADVANCED AND DELAYED DIFFERENTIAL SYSTEMS WITH PIECEWISE CONSTANT GENERALIZED ARGUMENTS

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Acta Mathematica Scientia 2018年第1期38卷 220-236页

作者： kuo-Shou CHIU departamento de matemática facultad de ciencias básicas universidad metropolitana de ciencias de la educación Jose Pedro Alessandri 774 Santiago Chile

In this paper, we investigate the existence, uniqueness and the asymptotic equiv- alence of a linear system and a perturbed system of differential equations with piecewise alternately advanced and retarded argument of generalized type （DEPCAG）. This is based in the study of an equivalent integral equation with Cauchy and Green matrices type and in a solution of a DEPCAG integral inequality of Gronwall type. Several examples are also given to show the feasibility of results.

关键词： piecewise constant argument of generalized type hybrid equations equivalence asymptotic behavior Gronwall's inequality

Product of Toeplitz Operators on the Harmonic Dirichlet Space

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Acta Mathematica Sinica,English Series 2012年第5期28卷 1033-1040页

作者： Lian kuo ZHAO School of Mathematics and Computer Science Shanxi Normal University

In this paper, we study Toeplitz operators with harmonic symbols on the harmonic Dirichlet space, and show that the product of two Toeplitz operators is another Toeplitz operator only if one factor is constant.

关键词： Harmonic Dirichlet space Toeplitz operator zero product