Considered in this paper are the two-person zerosumlinear quadratic differential games. It is shown that thevalue of the game exists if and only if both the upper value andlower value exist. As an consequence, we prove that anothernecessary and sufficient condition for the existence of the valueof the game is the existence of an open loop-open loop saddlepoint. An example is also given where lower value exists butupper value does not exist.

In this paper, a technique based on body features is employed to develop a system for sports training, healthcare and medical diagnosis through reusing huge amount of video resources, and extracting useful information from them. This technique realizes the motion capture by using existing video of human motion. The predefined human model is matched and identified with a sequence of videos. The interested feature points are tracked and calculated using relevant features of the human body. During the tracking, the human model is used for the conditional constraint and corrections. The approach is easy and quick. The efficiency of capture, stability and accuracy of the tracking are improved greatly with a low requirement for hardware specification. The 2D motion data can be generated easily and conveniently for 3D motion reconstruction in this system.

A molecular-dynamics study has been made of the influence of solute content on low-energy displacement cascade processes in copper containing up to 15 at. % Au in solid solution. This alloy system was chosen to illustrate the effects of heavy, oversized solute atoms in a fcc matrix. Cascades of up to 2ke Vin energy were considered. The presence of the solute was found to have a significant impact on all phases of cascade development, but not on the final defect number. The ballistic phase is increased in duration, and the number of temporarily displaced atoms is increased by the solute, and the thermal spike that follows is also increased in intensity and duration. As a consequence, the atomic mixing associated with these two phases was highest in the Cu–15% Au alloy that contained the most solute. However, as a result of self-healing in the thermal spike, the final number of Frenkel defects is independent of alloy composition. To test the influence of solute atomic mass, simulations were carried out on copper containing solute atoms with the same size as Au, but a lighter mass than copper. The alloys with this fictitious element did not show the ballistic-and thermal-spike effects exhibited by those containing "normal" gold. The results are discussed in terms of the likely roles of solutes in damage evolution in alloys under cascade-producing irradiation.

A soluble, but nontrivial, model of a dilute Ising ferromagnet is studied, with infinite-range in- teractions but finite average connectivity c. The density of (Yang-Lee) zeros of the partition func- tion in the complex z=exp(-2H) plane (where H is the external magnetic field in units of the tem- perature) is calculated explicitly in the high-temperature phase for large but finite c and small ]H]. The density of zeros on the unit circle H=iO has the form p(θ)～exp{-[cf(K)/]θ]ln( 1/[θ]for [01 >0. The function f(K) (K=J/73 vanishes at the critical coupling Kc(c). Heuristic arguments are given for the form of p(θ) expected for systems with short-range interactions.

On the basis of a new physical picture universally valid for all condensed matter of the infrared-divergence theory and starting from a non-Markovian process, the author investigates electronic excited-state or exciton transfer in disordered systems. The obtained results indicate that the present picture, which differs from the traditional Markovian-transport picture, is more reasonable and more universal than other existing theories. The theoretical predictions are in good agreement with the experimental investigation.