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TREE ENUMERATION AND TREE ALGORITHM COMPLEXITY COMPUTATION

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Chinese Science Bulletin 1992年第23期37卷 2004-2009页

作者：王振宇 Wuhan Digital Engineering Institute Wuhan 430074 PRC

Algorithm complexity analysis over tree structures has drawn much attention in recent years. Ph. Flajolet made the complexity analysis for recursive descent algorithm over trees by establishing a complexity measure table for constructions in a formal tree algorithm description language. The so-called concept 'additive complexity algorithm over tree structures' was also introduced, which is parallel to the concept 'additive enumeration problems over trees', and some results that could only be used to recursive algorithms were obtained.

关键词： tree enumeration algorithm complexity analysis simply generated tree family

ON A CONJECTURE FOR THE NUMBER OF MULTIPLICATIVE PARTITIONS OF A NATURAL NUMBER

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Chinese Science Bulletin 1991年第6期36卷 517-518页

作者：陈小夏 Department of Mathematics Hangzhou Normal College Hangzhou 310012 PRC

Let f（n）denote the number of factorizations of the natural number n into factors larger than 1, not considering the order of the factors. We call each of these factorizations a multiplicative partition of n, or simply, partition. Also let f（1）=1. On the upper bound of f（n）, J. F. Hughes and J. O. Shallit proved that f（n）≤2n21/2 and mentioned two conjectures:

关键词： partition simply multiplicative considering mentioned Hughes independently letter 左尹

Investigation of the Stability Problems of Elastic Bodies Using the Method of Mathematical Theory of Elasticity

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Applied Mathematics and Mechanics(English Edition) 1981年第1期2卷 51-78页

作者：王震鸣 Institute of Mechanics Academia Sinica

In this paper,using the equilibrium equations and boundary conditionsof elastic stability problem of Новожилов and the method of mathematicaltheory of elasticity,we solve some elastic stability problems,which... 详细信息

关键词： coordinates buckling simply elasticity rotation symmetrical quantities adopt compressed walled

The Synthesis of Sarcophinone

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Chinese Science Bulletin 1993年第9期38卷 790-791页

作者：郑其煌黄起鹏王植材高碧刘璿苏镜娱曾陇梅 Department of Chemistry Zhongshan University Guangzhou 510275 PRC

Sarcophinone (1) and Sarcophine (2), isolated from the soft coral Sarcophyton decaryi collected from the South China Sea, are cembranolides natural products. They have distinct cytotoxity and antitumor activity. This discovery is important to the study on the ecology of soft coral. Thinking of 1 and 2 isolated from the same organism and according to the

关键词： ecology antitumor letter isola carbonyl minutes reality simply

LOW-HANGING FRUIT:THE KEY TO SUCCESSFUL WATER EFFICIENCY PROGRAMS

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Journal of Green Building 2008年第4期3卷 32-36页

作者： Bill Gauley Veritec Consulting Inc.MississaugaOntario

INTRODUCTION People are becoming more aware of the impact their actions can have on the environment and there is a growing movement to try to use our natural resources as efficiently as *** efficiency,which only a few years ago was considered by many water agencies as simply a“feel good”measure,is now considered a legitimate new“source”of *** efficiency is not only good for the environment,it is good for the bottom line as ***,not all water efficiency measures or programs are equally *** measures have the potential to save large volumes of water but are difficult or not cost-effective to implement;other measures are well received but may result in very little actual water savings(e.g.,we have all heard about school presentations touted as a success simply because children are taught to turn off the tap when they brush their teeth).

关键词： becoming simply measures

Distance-controllable and direction-steerable opto-conveyor for targeting delivery

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Photonics Research 2020年第7期8卷 1124-1133页

作者： Zhen Che Wenguo Zhu Yaoming Huang Yu Zhang Linqing Zhuo Pengpeng Fan Zhibin Li Huadan Zheng Wenjin Long Wentao Qiu Yunhan Luo Jun Zhang Jinghua Ge Jianhui Yu Zhe Chen Key Laboratory of Optoelectronic Information and Sensing Technologies of Guangdong Higher Education Institutes Guangdong Provincial Key Laboratory of Optical Fiber Sensing and CommunicationsJinan UniversityGuangzhou 510632China Department of Optoelectronic Engineering Jinan UniversityGuangzhou 510632China Department of Cell Biology Yale University School of MedicineNew HavenConnecticut 06510USA

Opto-conveyors have attracted widespread interest in various fields because of their non-invasive and non-contact delivery of micro/***,the flexible control of the delivery distance and the dynamic steering of the delivery direction,although very desirable in all-optical manipulation,have not yet been achieved by ***,using a simple and cost-effective scheme of an elliptically focused laser beam obliquely irradiated on a substrate,a direction-steerable and distance-controllable opto-conveyor for the targeting delivery of microparticles is ***,in the proposed scheme of the opto-conveyor,the transverse and longitudinal resultant forces of the optical gradient force and the optical scattering force result in the transverse confinement and the longitudinal transportation of microparticles,*** this study,it is experimentally shown that the proposed opto-conveyor is capable of realizing the targeting delivery for ***,the delivery distance of microparticles can be flexibly and precisely controlled by simply adjusting the irradiation *** simply rotating the cylindrical lens,the proposed opto-conveyor is capable of steering the delivery direction flexibly within a large range of azimuthal angles,from-75°to 75°.This study also successfully demonstrated the real-time dynamic steering of the delivery direction from-45°to 45°with the dynamical rotation of the cylindrical *** to its simplicity,flexibility,and controllability,the proposed method is capable of creating new opportunities in bioassays as well as in drug delivery.

关键词： simply cylindrical simplicity

Study on Cloud-Radiation Effect on Climate in Eastern Asia

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Advances in Atmospheric Sciences 1992年第3期9卷 257-268页

作者：赵柏林张晓黎朱元竞Department of Geophysics Peking University Beijing 100871 Department of Geophysics Peking University Beijing 100871

In this paper, the decade data of meteorological satellite and surface meteorological observation of China have been analysed. The relationship between cloud and radiation has been studied. A set of empirical formulae of the ralationships between the albedo and cloud amount, the outgoing longwave radiation and cloud amount in Chinese different districts and different seasons has been deduced. They express simply the response of both planet reflectivity and earth-atmosphere outgoing longwave radiation to the change of cloud amount. So that the sensitivity of net radiation of the earth-atmosphere system to the change of cloud amount and the ratio of cloud reflective effect to greenhouse effect can be estimated. In this paper, the radiative process of the earth-atmosphere system, cloud and radiative balance and its effect on climate have been synthetically studied.

关键词： cloud greenhouse meteorological formulae reflective simply deduced radiative empirical absolute

Beam wavefront retrieval by convoluted spatial spectral benchmark

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Matter and Radiation at Extremes 2021年第4期6卷 24-30页

作者： Xuewei Deng Xiaoxia Huang Deen Wang Ying Yang Xin Zhang Dongxia Hu Laser Fusion Research Center China Academy of Engineering PhysicsP.O.Box 919Mianyang 621900China

We propose a method for retrieving a beam wavefront from its near-field intensity distribution after a 4f system by simply inserting a benchmark at the Fourier *** a convolution of the mark-blocked spatial frequency component and the original optical field with the 4f system,the separation between the focus of any sub-aperture and the benchmark can be determined to reconstruct the beam *** and experimental studies demonstrate the validity of this method,which has potential applications in real-time wavefront sensing.

关键词： system beam simply

ON THE VISCOSITY SPLITT NG METHOD FOR INITIAL BOUNDARY VALUE PROBLEMS OF THE NAVIAR-STOKES EQUATIONS

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Chinese Annals of Mathematics,Series B 1989年第4期10卷 487-512页

作者：应隆安 Department of Mathematics Beijing University Beijing China.

The viscosily splitting method for the Navier-Stokes equations on two dimensional multi-connected domains is considered. The equation is split into an Euler equation and a non-stationary Stekes equation within each time step. The author proves the convergence theorem as he has done for the problem on simply connected domains, and the rate of convergence is improved from loss than 1/4 to 1.

关键词： connected split simply stationary Stokes Navier Polyno 云一 verified assume