A Geometric Approach to Global Stability for a Class of Predator—Prey Model

Ｗｅｃｏｎｓｉｄｅｒｔｈｅｍｏｄｅｌｉｎｎｏｎｄｉｍｅｎｓｉｏｎａｌｆｏｒｍａｓｆｏｌｌｏｗｉｎｇ ,ｗｈｉｃｈｉｓｃｏｎｃｅｒｎｅｄｉｎ [1] ｘ =ｘ(1-ｘ) - ｐ(ｘ) ｙ+ｂ∫+∞0 ｆ(ｓ) ｙ(ｔ-ｓ)ｄｓ ｙ =ｙ(δ- βｙｘ)ｘ(0 ) >0 ,ｙ(0 ) >0　　Ｗｅａｐｐｌｙａｎｏｖｅｌｍｅｔｈｏｄｆｏｒｐｒｏｖｉｎｇｔｈｅｇｌｏｂａｌｓｔａｂｉｌｉｔｙ .ＬｅｔＸ→ ｆ(Ｘ) ∈ＲｎｂｅａＣ1ｆｕｎｃｔｉｏｎｆｏｒＸｉｎａｎｏｐｅｎｓｅｔＤ Ｒｎ.Ｃｏｎｓｉｄｅｒｔｈｅｄｉｆｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎ Ｘ =ｆ(Ｘ) (1.1…     

On Fixed Points of Linguistic Dynamic Systems

1 Introduction1 Humans employ mostly words in computing and reasoning arriving at conclusions expressed as words from premises expressed in a natural language. When we deal with a special type of dynamic system that modeled by 搘ords? we use the theory of linguistic dynamic systems (LDS) by Wang[17, 18]. This is true especially when we deal with social or economic, rather than engineering or physical systems. For many large complex systems, however, due to the complexity involved and the in…     

The Immersive Cockpit System for Capturing Natural Heritage

1 Introduction1 Preserving natural heritage has been identified as an important task in many countries. However, if damage to such heritage is unavoidable during the development, we may want to record the natural heritage before damaging it. One way is to acquire the 3D geometric information of the natural heritage. So that we can render it later. However, if the natural heritage is very large in scale and very complex in geometry, acquisition of such large-scale environment is infeasible an…     

An Improved Distortion Operator for Insurance Risks

1　IntroductionRecently Wang ( 1995 ,1996 ,2 0 0 0 ) has proposed an approach to insurance pricing using theproportional hazards ( PH) transform.This approach to insurance risks is related to thedual theory of choice under uncertainty of Yaari( 1987) .The distortion pricing continuesto be a subjectfordebate.We do notcover all of the properties of the distortion pricing inthis paper.Instead we concentrate on the distortion function approach,and derive an ex-tensive distortion operatormodel ba…     

QCD,Axial—Vector Current and Quark Spin Content of the Proton

The relationship between the helicities carried by quark and gluon ofthe proton and the triangle anomaly is discussed in terms of theperturbative QCD. A new flavorindependent axial-vector current is derivedin terms of the background field theory. Using this current the quark spincontents are computed and are consistent with data. The order of magnitudeof the quark spin content is determined to be O(1)in large N(?) expansion     

关于Bi可膨胀性(Ⅰ)

作为可膨胀性、几乎可膨胀性和几乎θ可膨胀的自然推广，引入了Ｂｉ可膨胀性的定义，ｉ＝０，１，２．初次研究了Ｂｉ可膨胀性的特性．     

原子的冷却和束缚技术的发展

本文介绍了原子的激光冷却和减速技术;中性原子的磁场和激光束缚法;以及用辐射力控制原子方面的新进展。     

On Software Development of Characteristic Set Method

1　IntroductionIn mathematics,there are two distinctsystem ofthoughts and methods:axiomatic methodand mechanical method. As consequences,there are two kinds of major activities,one istheorem proving and another is equation solving.In contrast to the Eucli…     

A Game Theory Approach of Deposit Insurance

1　IntroductionIn the European and American developed countries,there is an effective method to dealwith the deposit risk of the commerical bank— deposit insurance system ,which plays ansignificant role to protect the depositors′ interests,strengthens the supervision to thecommerical bank,keeps away and eliminates the deposit risk.Nowadays,China has notdistinctly founded such a system of deposit insurance.Generally speaking,eachcommerical bank,which is subordinated by the national central b…     

Value of Commonality in Multiple Stage Assembly Products

This paper presents a systematic approach to estimate the value of commonality in products that involve multiple stage assemblies. In particular, the inventory savings are quantified with a mathematical model. The purpose is to assist product deisgn teams to make rational decisions in assigning unique parts or pursuing component standardization. In order to enhance the usability of the model, approximations are made to simplify the model and calculations.