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Random matrices; empirical spectral distribution function; Stieltjes transform; convergence rate; factor model; time series

基础科学，数学，概率论、数理统计随机矩阵；经验谱分布； Stieltjes变换；收敛速度；因子模型；时间序列

First, a Message-Digest Algorithm (MD5) is implemented to encipher transmit user login password with random number strengthened, which completes authentication mechanism under cryptic environment.

第一，身份认证。设计了一种采用MD5信息摘要算法来实现用户登录口令的有随机数加强的加密传输，从而实现加密条件下的身份验证机制。

Since the enciphered OTP, being transmitted, is known, one might, however, consider the following arrangement, which involves sending only one message, to be equivalent: take a fixed random sequence of letters (perhaps derived from the digits of pi; since we're using Playfair, we need a 25-letter alphabet anyways), then encipher (or, to be strictly equivalent, decipher) it using the current key by simple columnar transposition, apply the result by Vigenere to the plaintext, then encipher the result with Playfair.

由于加密检察官办公室，传送，是众所周知的，其中一个可能是，但是，考虑下列措施，其中包括派遣只有一个讯息，以相等于：以一个固定的随机序列的信（或许来自两位数丕；以来，我们再利用playfair ，我们需要一个有25个字母组成的字母anyways ），然后加密（或者，必须严格当量，破译），它利用当前的重点由简单的柱状换位，申请结果vigenere向明文，然后加密结果与playfair 。

It is she collects a website, 17 old great master know, not may little center feel dizzy, so random Baidu nature was regarded as chicken, the country wants those who fizzle out to seal, most propbably should undertake rectifying to its, it is Baidu itself likelihood additionally received work is too much and the body too overworked, brought about endocrinopathy, menstruation is not moved!

是个网站她就收录，17大大家都知道，可能不少站长都发晕了，这么随便的baidu自然被看成了鸡，国家要封"黄"的，想必要对其进行整顿，另外就是baidu本身可能接的活太多而身体过于劳累，导致了内分泌失调，月经不调！

On production runs, random batches of batteries are tested for temperature, efficiency, energy density and output.

在产品流动线上。成批的电池被随机抽查，分析其温度，效率，能量密度和输出率。

It was concluded that the stemma equimultiple random select cross method could constrain the increments of inbreeding coefficient.

采用家系等量随机选配法保存鸡种，可有效地控制保种群近交系数的增长。

In this paper,a random wave model based on PM spectrum is established by using energy equipartition theory,and sea wave is simulated by using linear superposition method.

提出基于PM海浪谱的随机海浪模型，该模型应用能量等分理论，并利用线性叠加法进行了海浪的仿真。

Ordinary students as the supplement control group were selected at random. 9g pyruvate calcium capsules were taken twice a day in supplement control and supplement and training group. At the same time, equipollent glucose capsules were compensated to training control group. The trail lasted for 21 days, during which athletes'training was normal.

根据体重将男子散手运动员均衡地分为两组：运动对照组(training control，简称tc组)和补充丙酮酸运动组(supplement control，简称sc组)，两组研究对象的运动等级及训练情况基本相同，每周训练20小时以上；将体院大学生作为补充丙酮酸对照组(supplement and training，简称st组)。sc组和st组每天分两次补充9克丙酮酸钙；tc组补充等量葡萄糖，实验持续21天。

Then, the solving method about the above dynamic robust location model is discussed in order to indicate two feasible approaches that are the transform of determinate equivalence class and the random simulation.

其次对该模型的分析和处理进行了深入的讨论，为模型的求解指出了两种可行的途径－确定等价类的转化和随机模拟。

Secondly,the deterministic equivalence problem of theprobabilistic inequality is discussed,and the expression formula of thedeterministic equivalences for several commonly used probabilitydistributions,such as normal,exponent,uniform,β and Γ distributions etc.,are given for the linear function with respect to random variables,which solvesthe problem of the deterministic equivalence for the linear-function-class.

其次，本章讨论了概率不等式的确定性等价问题，就随机变量的线性函数类，给出了与几种常用的概率分布，如正态分布、指数分布、均匀分布、β分布、Γ分布等等，相关的确定性等价问题。

We have something to do in the new stage.

在这段崭新的时期中，我们有一些要做的。

The difference between tourism decision-making under uncertainty and risky tourism decision-making is indistinctive.

其中不确定性旅游决策和风险旅游决策的界线比较模糊，两者的区分是相对的。