Location: Home > Basic Sciences >
-
Some Problems of the Sumsets in Abelian Groups
Many classical problems in additive additive group theory andadditive number theory are direct problems, in which one starts with twosubsets A and B of a group, and tries to describe the structure of thesumset A+B consisting of all sums of e....
-
Theorems of Duality and Characterization of Some Spaces on HEISENBERG Group
It is well known that the duallities and characterizations of function spacesplay an important role in harmonic analysis. In this thesis, the tent spaces onthe Siegel upper half space, which are defined in terms of Choquet integralswith resp....
-
Structures and Properties of Some Infinite-dimensional Lie Algebras
Infinite-dimensional Lie algebras over a field of characteristic 0 have been intensively studied recently([27],[29-35]). In my thesis four classes of infinite dimensional Lie algebras over a field of characteristic 0(centerless Virasoro Lie....
-
Research on Ground Penetrating Radar Technique Applied to the Concealment Engineering Quality Detecti
Concealed engineering works mean all constructions that are hidden underground, under water or buried by certain covering. Larger concrete concealment works include groundsill, pile foundation, dam foundation, roadbed, pipe line, culvert, un....
-
Research on Mineral Resources Evaluation by Weights of Evidence Model Based on Spatial Information Gr
Mineral resources evaluation is an important research item in the field of geology and mineral resources. It is a significant subject that improving the credibility, reliability of evaluation results and prospecting efficiency with computer....
-
Research on MWD Surveying Method and Locating Technique of Horizontal Directional Drilling
With the development of trenchless technology, horizontal directional drilling (HDD) processes have gotten wide applications during the last decades. In order to realize orientation monitoring and accurate steering, the spatial attitude and....
-
Study on Quantitative Retrieval of Soil Organic Matter and Related Elements in the Black Soil in Song
The contradiction among population, resources, environment in the world is more and more serious. In the system of natural resources and eco-environment, the land resource is an important element, which concentrates and reflects many problem....
-
The Study of Elastic Wave Propagation Properties of Rocks with Distributed Fractures
In this paper, we have developed a two-dimensional boundary element method (BEM) program which can compute the wave field in heterogeneous media containing arbitary number of cracks. The program is written in FORTRAN and the numerical test r....
-
Study on the Geothermal Information System of Tibetan Plateau Based on GIS
Resources and environment are the basic conditions with which human beingcan survival, multiply and develop, and at the same time, which are big problemswe must to be faced with. The population of the world grows 2 times in almostone century....
-
Study on Attitude Measurement System for Augmented Reality and Its Calibration Method
Augmented Reality (AR) is an important branch of the Virtual Reality (VR) and is attracting much attention of the researchers all over the world in recent years. Its application is expanding from indoor environments to outdoor systems. One o....
-
Study on Flood Routing of Distributed Hydrologic Models
Distributed hydrologic model is a kind of developing method of hydrologic modeling, so its ability of describing the spatio-temporal distributing of runoff is not enough now. This study is about increasing the precision of spatial describing....
-
Watershed Non-Point Sources Pollution Simulation
The research is funded by Department of Science and Technology fund project titled Ecological Environment Subject Studying for National Major Engineering. Supported by GIS(Geographical Information System) and remote sensing technology, it ha....
-
Study on Environmental Geochemistry of the Sediments in Modaomen Estuary of the Pearl River
Modaomen Estuary is a complex ecosystem influenced both by natural factors and human activities. It's the typical area that we do the research. The following major element ions(K+、Na+、Ca2+、Mg2+、Cl-、HCO3-、SO42-)and heavy metal(Cu、....
-
Study on Bayesian Forecasting System of Deteministic Hydrologic Models
The hydrologic process is thought as a complex phenomena influenced by both deterministic and stochastic factors. Some stochastic characters exist in the input and the parameters of hydrologic model. So the output of hydrologic model is unce....
-
Some Iterative Methods for Solving Partial Differential Equations
This thesis consists of three chapters. In chapter one, we give survey of the numerical methods for solving the diffusion equation subject to the specification of mass, numerical methods combining the numerical solutions of the equivalent in....
-
On Landau-Lifshitz Equations
The Landau-Lifshitz equation bears a fundamental and important role in the understanding of magnetization dynamics, just as the Navier-Stokes equation does in that of fluid dynamics. As a nonlinear partial differential equation, it is an int....
-
Modelling and Reshaping Spline Curves and Surfaces
In this paper, we have made a systemic theoretic research on modelling and reshaping several types of spline curves/surfaces in CAGD. And some creative productions are given as follows.At first, the uniform C-B-spline basis is proved to be a....
-
A Study of Lie Color Algebra and Correlative Problem
The present thesis is devoted to studying Lie color algebras and correlative problems(that is,Lie color algebras,Lie color triple systems,finite-dimensional simple Lie superalgebra over fields of prime characteristic).As is well known,the th....
-
Applications of Representation Theory of Algebras to Hopf Algebras
In this paper we study Hopf algebra by using representation theory of asso-ciative algebras in several ways.LetΛbe an artin ring. Let P be an indecomposable projective leftΛ-module. If we viewΛas a leftΛ-module, then the multiplicity of....
-
Some Constructions on Multiplier Hopf Algebras
The goal of this thesis is to generalize the theory of Ore extensions andL-R smash products on Hopf algebras to multiplier Hopf algebras. We focuson constructing structures of multiplier Hopf algebras for Ore extensions andL-R smash products....
-
Congruences of Modulo Prime Powers
Fu XudanFermat's Last Theorem states that x~n+y~n=z~nhas no positive integer solutions for x, y and z when n＞2. In order to prove Fermat's LastTheorem one need only show that no fourth power is a sum of two fourth powers, and for allodd pr....
-
Applications of the Theorem about the Existence of Primitive Divisors of Lucas and Lehmer Numbers to
This thesis is to study the integer solutions and the number of theinteger solutions of some exponential diophantine equations by applyingthe deep theorem of Bilu, Hanrot and Voutier about the existence ofprimitive divisors of Lucas and Lehm....
-
Some Investigations on Numerical Integration
In this paper, the following problems in numerical integration are studied, best quadrature, best quadrature formulas with weight functions and numerical evaluation of integral defined by Hadamard finite part.For any natural number r and any....
-
Composition Operator Theory on Analytic Function Spaces
In this research report, we mainly study the boundedness, compactness, weak compactness and other properties of composition operators on some analytic function spaces. The report consists of four chapters.Chapter 1 is an introduction of this....
-
Bivariate Spline Method for Numerical Solution of Partial Differential Equations
Spline is an excellent tool for numerical approximation, which is a perfect result of the combination of approximation theory and computer theory. In modern computational work, spline is the major tool for engineers and CAD software since it....
-
Asymptotic Behavior for Euler-Poisson Equations and Euler Equations
In this thesis, we first summarize the hierarchy and recent development of semi-conductor device modeling, and study the perturbation problem near equilibrium for themulti-dimensional Euler-Poisson equations (the classical hydrodynamic model....
-
Strichartz Estimates and Well-Posed Problems for Nonlinear Wave Equation
This thesis is devoted to the study of the Strichartz estimate and it's angular improve-ment for the linear homogeneous wave equation, the well-posed problems in the Sobolevspace H~s with almost optimal s for derivative semilinear wave equat....
-
The Life Span of the Classical Solution for Nonlinear Wave Equations in 3 Space Dimensions
The present Ph.D. dissertation deals with the Cauchy problem for nonlinear wave equations with different propagation speeds and the initial boundary value problem to nonlinear wave equation outside of star-shaped obstacle with small initial....
-
Global Weakly Discontinuous Solutions for First Order Quasilinear Hyperbolic Systems
In this Ph.D. thesis, we study systematically the weakly discontinuous solutions for first order quasilinear hyperbolic systems. The existence and uniqueness of global weakly discontinuous solution are obtained for Cauchy problem and mixed i....
-
Existence and Properties of Solutions for Differential Inclusions in Banach Spaces
Differential inclusions also called multivalued functional differential equa-tions is an important branch in the theory of nonlinear analysis, the theory ofwhich has developed fast because of its extensive practical applications in manyfield....