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The article first theoretically analyzes the principle that microcavity reduces threshold 、changes resonant modes of output light and enhances unidirection of the random laser.Then study the structure parameters of different microcavity by transfer matrix.Based on the theory of Maxwell equations and the rate equations, analyze the principle that microcavity reduces the threshold by FDTD method: Changing the confined position,reducing relaxation time and increasing reversing particles, also simultaneously study the influences of the threshold and output light modes by different microcavities and random intensity of random medium.

首先从理论上分析了利用微腔降低随机激光器阈值、改变出射光振荡模式、提高出射光准直性的原理,然后利用传输矩阵法模拟研究了不同的微腔应具有的结构参数,最后以麦克斯韦方程和速率方程理论为基础,利用时域有限差分法分析了利用微腔降低阈值的原理:改变局域化位置、缩短弛豫时间及增大粒子数反转,同时也模拟研究了微腔、随机介质的随机强度对阈值及出射光波模式的影响。

Based on recursive stochastic finite element method, a random damage identification method for frame and infilled frame structures was developed. The control equations of random damage index were set up after random damage index was defined.

提出了一种基于递推随机有限元方法的随机结构损伤识别方法来识别框架与框架填充墙结构的损伤。

This paper put forward two methods of constructing randomizer in the Fractal applications:(1) The randomizer satisfing the Gauss normal distribution N(0,1) is constructed basing on central limit theorem of the probability theory;(2) The random sequence is created basing on the Chaos principle. There is not only randomness inside the random sequence but also in random sequence itself.

提出分形理论应用中构建随机数发生器的两种方法:根据概率论的中心极值定理,产生服从高斯正态分布N(0,1)的随机数;基于混沌学原理产生随机数,不仅随机数序列内部有随机性,而且随机数序列本身也具有随机性。

Random paintings ten random colors random length of the straight line of s...

可以随机的画10条随机颜色的随机长度的直线的小程序。

Random paintings ten random colors random length of the straight line of small procedures.

详细说明:可以随机的画10条随机颜色的随机长度的直线的小程序。

The data such as current time, memory total amount, available memory, memory swap file size, available memory swap file size, virtual memory size, available virtual memory size, last random seed and random seed provided by application program have been adopted as random number seed. Thus the problem has been solved efficiently. 2. Solve the self-security integrality problem of common data security architecture.

采用软件方式来实现其随机种子的采集,并采用当前时间、内存总数、可用内存、内存交换文件大小、可用内存交换文件大小、虚拟内存大小、可用虚拟内存大小、上次的随机种子、应用程序提供的随机种子等数据作为随机数种子,有效地解决了这一问题。

Topics include: sample spaces, axioms of probability, conditional probability and independence, discrete and continuous random variables, jointly distributed random variables, characteristics of random variables, law of large numbers and central limit theorem, basic experimental design, elementary probability, binomial and normal distributions, estimation and test of hypotheses, and analysis of variance.

概率论部分作为基础知识,是全部内容的重点之一,为读者提供必要的理论基础;数理统计部分,主要介绍常用的统计推断方法:参数估计、假设检验、方差分析、回归和相关分析等内容。

The results show that the theory of classical conjugate spaces is universally invalid for random normed modules, and furthermore, expose the fundamental importance of the theory of random conjugate spaces in the development of random normed modules.

该结果表明经典的共轭空间理论对随机赋范模是普遍失效的,进一步揭示了随机共轭空间理论对随机赋范模发展的突出重要性。

This represents a fundamental mathematical limit on the best possible lossless data compression of any communication: considering a certain message as a series of realisations of a certain random variable (where the random variable can be "the next letter", or "the next word", or any other subdivision of text), the shortest number of bits necessary to transmit one message is the Shannon entropy of the corresponding random variable, multiplied by the number of realisations in the original text.

当然如果各个队夺冠的几率不等的话,那么熵则不会是5。因为如果从强队开始问问题,则不需要5个问题一般就可以得到答案。而根据哈夫曼编码的启发,我们表示这32个队,不需要平均长度为5的二进制位。从另外一个角度来看,熵作为信息量的大小也是表达能力的衡量,或者是不确定度的衡量和混乱程度的表现。为什么选择log来表示熵呢?如果X的表达能力为H,Y的表达能力为H,那么X+Y的表达能力应该是二者的乘积,所以H = H + H。

In chapter 10, we propose the random weighting approximation method for distribution of sample mean under simple random sampling in one-dimensional finite population.

第十章 将随机加权法首次应用到简单随机抽样方案下的样本均值分布逼近问题中,从数字特征角度说明了随机加权方法在抽样理论中的可用性,从而拓广了随机加权法的应用范围。

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Diabetes is a social disease that affects several million people worldwide.

糖尿病是一个社会性疾病,全世界有数百万人罹患此病。

I'll call you on Friday to see if we can reschedule our luncheon meeting at your convenience.

我星期五会给您打电话在您方便的时候我们重新安排我们的午餐约会。

Not only because there was a power off, but also because he cooked a muskrat.

不仅因为停电了,而且因为他做了麝鼠肉。