实现目标函数几何化的几种形式

线性规划问题是高中数学的重要内容,是"沟通"代数与几何的重要桥梁,以其直观性地解决问题而"一枝独秀".在有关的线性规划问题中,由于目标函数的形式的多样化与隐蔽性,所以我们要充分研究与挖掘目标函数的几何意义,将其由"数"向"形"转化,使目标函数具体化、明朗化,是我们解决这类问题的关键所在.本文通过几个例题罗列了实现目标函数几何化的几种常见形式.……     

驻波光场中的二能级原子

原子与光场相互作用系统是很难求解的，本文对二能级原子与驻波光场相互作用系统进行了求解，在光场较弱的情况下，得出了二能级原子与驻波光场相互作用系统的波函数、系统能量的可能取值、二能级原子质心动量的可能取值。     

A Novel Rule Induction Algorithm

1　Ｉｎｔｒｏｄｕｃｔｉｏｎ　　Ｋｎｏｗｌｅｄｇｅｄｉｓｃｏｖｅｒｙｉｎｄａｔａｂａｓｅｓ (ＫＤＤ)ｉｓｃｏｎｃｅｒｎｅｄｗｉｔｈｅｘｔｒａｃｔｉｎｇｕｓｅｆｕｌｉｎｆｏｒｍａｔｉｏｎｆｒｏｍｄａｔａｂａｓｅｓ.Ｔｈｅｔｅｒｍｄａｔａｍｉｎｉｎｇｈａｓｈｉｓｔｏｒｉｃａｌｌｙｂｅｅｎｕｓｅｄｉｎｔｈｅｄａｔａｂａｓｅｃｏｍｍｕｎｉｔｙａｎｄｉｎｓｔａｔｉｓｔｉｃｓ (ｏｆｔｅｎｉｎｔｈｅｌａｔｔｅｒｗｉｔｈｎｅｇａｔｉｖｅｃｏｎｎｏｔａｔｉｏｎｓｔｏｉｎｄｉｃａｔｅｉｍｐｒｏｐｅｒｄａｔａａｎａｌｙ…     

思维在"再创造"的过程中发展——有感于一节二次函数的衔接课

1 背景介绍 　　上学期,笔者与数学教育实习生一起随堂听了武昌名师张鸿志老师在高一年级上的<二次函数的图象及其性质的应用>的一节课,我们都被张老师那平和、幽默、机智的讲课风格所陶醉,更为张老师的教学设计喝彩!现将此课的教学实录展现出来,并谈谈我们的听课感受.……     

二项展开式系数的求法

对于(a b)^n展开式中特定项的系数，常常从通项公式人手，学生容易掌握，而对于较复杂的展开式，如(a b)^m(c d)^n、(a b c)^n等，多有畏难情绪，这里介绍三种行之有效的方法，供大家学习时参考。     

Number Theoretic Methods in Applied Statistics

This paper gives some applications of number-theoretic method (or quasi Monte Carlo method) for numerical evaluation of probabilities and moments of a continuous multivariate distribution over a special domain such as cube, ball, sphere, simplex, etc., where the uniformly distributed sets of points in such domains, which are useful in experimental design, simulation, geometry probability, etc., are suggested. Some applications of number-theoretic method in optimization are discussed also.     

C_l~(1)的某些水平1的弦函数

本文部分解决了 Kac[1]提出的问题,即计算了 C_2~((1)),C_4~((1)),C_6~((1)),C_7~((1))的所有水平1的弦函数.     

High speed pseudorandom modulation fiber laser ranging system

A laser ranging system using all fiber high speed pseudorandom （PN） coded laser at 1550 nm and photon counting is proposed to realize high spatial resolution. Different lengths of PN code are employed in the optical fiber delay ranging test, the results show the improvement in both ranging accuracy and signal-tonoise ratio （SNR） as PN code trains increase. A ranging accuracy of 3 cm is acquired when transmitting pulses propagate to a target of 1.77 km away and received by an InGaAs/InP avalanche photodiode （APD）. Simulation is also carried out under space borne condition based on current system. The system is demonstrated to have a potential for remote ranging and imaging.     

Experimental characterization and correction of non-equivalence of Solar Irradiance Absolute Radiometer

We experimentally evaluate and correct the non-equivalence between electrical and radiative heating of solar irradiance absolute radiometer to compensate the systematic error of radiant power measurement at ambient pressure. A relative difference of the order of 0.08%-0.27% between electrical and radiative heating sensitivities is shown, and the resulting non-equivalence correction factor is calculated. The radiant power measurement equation is modified using the non-equivalence correction factor, a systematic deviation of 0.19% of radiant power measurement is hence eliminated.     

高精度时差提取技术在薄互层中的应用

声波测井中,对于砂一泥岩薄互层井段,由于地层声速变化及仪器分辨率低等原因导致不同接收器接收到的波形相关性差,用传统的时差-时间相关法往往不能得到稳定可靠的时差结果。对于数字声波测井而言,单个接收器的波形质量良好,针对这一现象,本文通过利用改进的探测首波波至的方法获得高精度的时差。将该方法应用到现场实例数据中,结果表明该方法有效的提高了地层首波时差的精度,清晰的刻画了薄互层特性。并且该方法基本不需要人工干预,在大部分情况下可以得到稳定可靠的结果。