A fast pseudorandom number generator with BLAKE hash function

This paper presents a fast pseudorandom generation algorithm, which is based on the BLAKE hash function and can pass the random test of the NIST (National Institute of Standards and Technology) Statistical Test Suite. Through theoretical analysis and experimental imitation, our new algorithm is proven to be more secure and efficient than G-SHA1. Simultaneously, we introduce and discuss the BLAKE in detail. Its security shows that can be utilized to generate pseudorandom bit sequences, which the experimental results show the BLAKE hash function has excellent pseudorandomness. Therefore, we believe the BLAKE is one of the most potential candidate algorithms of SHA-3 program.     

NECESSARY AND SUFFICIENT CONDITION FOR GLOBAL CONTROLLABILITY OF A CLASS OF AFFINE NONLINEAR SYSTEMS

In this paper, we investigate the global controllability of a class of n-dimensional affine nonlinear systems with n- 1 controls and constant control matrix. A necessary and sufficient condition for its global controllability has been obtained by using the methods recently developed. Furthermore, we generalize the above result to a class of affine nonlinear systems with a block-triangular-like structure. Finally, we will give three examples to show the applications of our results.     

数学课堂教学中培养学生自学能力的尝试

本文介绍了在中师数学课堂教学中培养学生自学能力、减轻学生的课业负担、提高课堂教学效率方面所做的探索性尝试。     

On functional decomposition of multivariate polynomials with differentiation and homogenization

This paper gives a theoretical analysis for the algorithms to compute functional decomposition for multivariate polynomials based on differentiation and homogenization which were proposed by Ye,Dai,and Lam(1999) and were developed by Faugere,Perret(2006,2008,2009).The authors show that a degree proper functional decomposition for a set of randomly decomposable quartic homogenous polynomials can be computed using the algorithm with high probability.This solves a conjecture proposed by Ye,Dai,and Lam(1999).The authors also propose a conjecture which asserts that the decomposition for a set of polynomials can be computed from that of its homogenization and show that the conjecture is valid with high probability for quartic polynomials.Finally,the authors prove that the right decomposition factors for a set of polynomials can be computed from its right decomposition factor space.     

多进出口空间混合对流传热的数值分析

采用原始变量，等间距的交错网格等方法对多进出口空间混合对流传热问题进行数值分析。通过对不同几何模型和边界条件在较宽的参数范围内进行计算，从而总结出混合对流传热的一般规律。     

MULTIPLE CRITERIA DECISION MAKING： DISCORDANT PREFERENCES AND PROBLEM DESCRIPTION

There are many practical decision problems where decision makers＇ preferences may be inconsistent and contradictory. In this paper, new methods for ordering and classifying multi-attribute objects by discordant collective preferences are suggested. These methods are based on the theory of multiset metric spaces. The proposed techniques are applied to ranking companies and a competitive selection of projects, which are estimated by several experts upon multiple qualitative criteria.     

论英语课文教学中阅读能力的培养

阅读是掌握语言知识、打好语言基础、获取信息的重要渠道。阅读能力是大部分大学生今后工作所需的主要语言技能，在大学英语教学中要始终注重阅读能力的培养。从语言学习的规律来看，英语应用能力的提高是建立在大量的语言输入，尤其是大量阅读的基础之上的。近年来，随着考试命题要求的不断提高，考查学生阅读能力的试题比重越来越大，阅读难度有所增加。因此，如何培养和提高肇生阅读能力，显得尤为重要。     

海南岛西北岸礁坪堆积物的粒度参数与分布特征

松散堆积物的粒度成分及分布规律与沉积环境息息相关,于潮间带以平台地形出现的现代礁坪对其上的松散堆积物的沉积过程施于深刻的影响.本文就海南岛西北岸邻昌、大铲离岸礁和小铲近岸滩礁礁坪上的松散堆积物的粒度参数和粒度分布的若干特征,探讨它们与沉积环境的关系.     

An approximate analytical solution to the ultrafiltration profile in a hemodialysis process between parallel porous plates

In a hemodialysis process, the blood that runs through straight channels exchanges substances with the dialysate through a semi-permeable membrane. The waste products, such as urea and creatinine, are therefore removed from the plasma by the membrane. In the analysis of this process, determination of the ultra-filtration profile along the porous membrane surface remains a difficult problem. In this work, an analytical solution to the derivation of such a profile was detailed, and the feasibility of this solution was discussed. The ultra-filtration profile was found to be in a cosine shape.     

透明电解槽研究铝在冰晶石—氧化铝熔液中的溶解

本文用透明电解槽对金属铝在冰晶石一氧化铝熔液中的溶解及阳极效应进行了直接的观察,铝溶解时先放出大量细小的气泡,然后泛起蓝褐色的金属雾,一定时间后铝为一黑褐色结壳,所包裹熔液重新变清,电解后,金属雾很快消失,一旦停止电解,金属雾便重新从铝液上泛起,阳极效应时阳极上产生一股气流喷向阴极,认为铝的溶解形式主要是电化学溶解,阴极极化(电解)可以使铝的溶解得到抑制,阳极喷射则是由于阳极气体膜电离所致,使得电流效率降低。