一种基于维数缩减的单变元Coppersmith算法

RSA是最为经典的公钥密码体制之一,在实际使用中,RSA系统有明文被截获的可能.针对部分RSA明文信息泄露的情况,Coppersmith算法被广泛应用于RSA分析中,其主要思想是利用LLL算法求解一个单变元模方程,如果成功求解方程,那么全部明文将会被恢复.本文主要从三个方面对基于小根问题的单变元Coppersmith算法进行了改进.首先根据Nguyen等人的工作,我们可以获得随机格的LLL约减基首向量模长的较为精确的估计.本文利用上述估计获得了一个平均意义上的可能成功求解方程所需的较低维数,并以此维数为起点,逐次增加e维进行约化,直至成功求解方程.其次,考虑到Coppersmith格严格意义上不是随机格,如果将Nguyen等人工作直接应用到Coppersmith格上,结果可能会有误差.因此,本文通过引入概率统计的方法获得了LLL算法在Coppersmith格上约化效果的新估计,优化了起始维数.最后,本文采取了利用已知的未知明文比特位数对原来的未知量进行变量代换的技巧,降低了算法的求解复杂度.实验表明,本文提出的I-Coppersmith算法能较大幅度地提高小根问题的求解效率,算法的运行时间减少约50%.

双列杂交育种法配合力统计分析(单变元)的SAS实施

论述了如何应用SAS过程解决格里芬双列杂交育种法4的配合力计算问题,其中应用了transpose过程、merge语句及统计代换Z=Y+X,并以实例示明具体计算法。此法具有国际普遍适用的价值。

单变元多项式方程的高效区间牛顿算法

为了解决当前存在的区间运算复杂性高、普通区间迭代程序运算量大、花费机器时间长等问题,提高区间迭代的运算效率,针对单变元多项式方程的求解展示了一个高效的区间Newton迭代算法。该算法利用1维问题多维化的思想加快迭代的收敛速度,改进了多维化过程中出现的性能拖累,极大地提高了算法在实际应用中的执行效率。算法已经被实现为M ap le程序,实验数据表明,与现有的算法相比,这个算法的迭代次数和运行时间都大幅减少,充分显示了它的高效性。

基于均值点展开的单变元降维法在EIT不确定性量化研究中的应用

在电阻抗成像(EIT)技术中,介质参数的不确定性会对正问题计算产生影响,进而影响图像重构,因而,对EIT介质参数不确定性量化的研究具有重要的意义。采用四层同心圆模型和二维圆模型作为仿真算例对EIT正问题进行研究,将电导率分布参数作为无相互作用的随机输入变量,使其服从随机均匀分布,基于均值点展开的单变元降维法(UDRM)计算得到边界电极电压的均值、标准差和概率分布等相关统计信息,分析电导率的不确定性对模型输出边界测量电压的影响,并与蒙特卡罗模拟(MCS)法、混沌多项式展开(PCE)法仿真结果进行比较。结果表明,UDRM能够准确高效地处理低维不确定性问题,且在处理高维不确定性问题时能有效缓解“维数灾难”问题。

子结式的两个新性质的证明

利用已有的结式性质得到了单变元多项式子结式的两个新性质,证明了一种乘积的子结式与两个子结式的乘积的等量关系式,并且给出了两个子结式互素的充要条件。

国际通用统计软件开发应用的研究报告

本文介绍了国际通用统计软件SAS、SPSS及BMDP的基本功能及其在农林试验中的应用；此外，对世界性普及软件MINITAB也作了扼要的介绍．

皇冠明珠敢摘取 毕生奋斗育新人

１９６０年，我毕业于厦门大学数学专业，同年服从国家统一分配，来到当时刚创办不久、地处偏僻的华南热带农业大学从事教育工作。当时我校各种条件都极困难，住茅房、吃木薯、蛇蝎经常出没，然而我们却一直坚持教学工作，从来没有动摇过。从事教育工作３８年来，我开出过...

CMOS Quadrature Modulator and Up-Conversion Mixer for 802.11a Wireless LAN Systems

A quadrature modulator and an up-conversion mixer for an 802. lla wireless LAN system are designed and fabricated in 0.18μm gate length standard CMOS technology. A current feedback loop with a transconductor is used to improve the linearity of the quadrature modulator;An LC resonant tank is used as the load of the upconversion mixer to improve its gain and increase the voltage swing. The measurement results show that the input P1dB achieves -3.6dBm, the transducer power gain of the circuit is -3.6dB,and the current consumes about 45.8mA with a 1.8V power supply.

多元函数的值域及其应用

在中学数学中,也常常遇到多元问题,而这些问题经过恰当转化,可化为多元函数问题。因此,如何用中学阶段所及的数学方法研究多元函数的值域或最值问题,将是我们必须探讨的课题。本文将提出几种常见的解法及其应用。

THE BOUNDARY ELEMENT ANALYSIS PROGRAM FOR 3-D TRANSIENT DYNAMIC FIELD

The matrix expression for the 3 D transient dynamic boundary integral equation in Laplace transform space is obtained and the degenerative element method has been implemented to treat the kernel function over the singular element. In the computer program BEMTDY the Koizumi′s numerical inversion method is used and three examples of the 3 D vibrated foundation under harmonic forces and the influence with both adjacent foundations are studied.

The influence of intensity and properties of tectonic stress on the process of coalification

Through the research on stress metamorphism character of the II1 coal seam in Ludian gliding structure, the stress effecting factors of metamorphism and hydrocarbon generation process of tectonic coal were studied. It is shown that different tectonic stress has different coal evolution effects. Compared with tensional stress, compressive stress, which has apparent anisotropic characteristics, has greater stimulative effect against the increase of coal metamorphic degree, the abscission of functional group and side chains of basic structural unit, and the formation of gas primarily composed of methane.

Mechanical behavior and deformation mechanism of ballast bed with various fouling materials

In order to study the interaction between various fouling particles and ballast,a multi-layer and multi-scale discrete element model(DEM)including the sleeper,ballast bed and the surface layer of subgrade was developed.Two typical fouling particles,the hard particles(sand)and soft ones(coal fines),are considered.A support stiffness test of the ballast bed under various fouling conditions was conducted to calibrate the microscopic parameters of the contact model.With the model,the influence of fouling particles on the mechanical behavior and deformation of the ballast bed was analyzed from macro and micro perspectives.The results show that the increase in the strength of the fouling particles enlarges the stiffness of the ballast bed.Hard particles increase the uniformity coefficient of the contact force bondγof ballast by 50.4%.Fouling particles increase the average stress in the subgrade,soft particles by 2 kPa and hard particles by 1 kPa.Hard particles can reduce the elasticity,plastic deformation and energy dissipation in the track structure.As the fouling particle changes from hard to soft,the proportion of the settlement in ballast bed increases to 40.5%and surface layer of swbgrade settlement decreases to 59.5%.Thus,the influence of fouling particles should be considered carefully in railway design and maintenance.

CMOS Automatic Gain Control Circuit with DC Offset Cancellation for FM/cw Ladar

This paper presented an automatic gain control （AGC） circuit suitable for FM/cw ladar. The proposed architecture was based on two-stage variable gain amplifier （VGA） chain with a novel DC offset canceller circuit, which contained an improved Gilbert cell and a Gm-C feedback loop. To keep the VGA with a linearity in dB characteristic, an improved exponential gain control circuit was introduced. The AGC was implemented in 0.18 gm standard CMOS process. Simulation and measurement results verified that its gain ranged from -20 dB to 30 dB, and band- width ranged from 100 kHz to 10 MHz. Its power consumption was 19.8 mW under a voltage supply of 3.3 V.

Metamorphic Algorithm of Self-reconfigurable Modular Robotic System

A self-reconfigurable robot is a non-linear complex system composed of a large number of modules. The complexity caused by non-linearity makes it difficult to solve the problem of module motion planning and shape-changing control with the traditional algorithm. In this paper, a full-discrete metamorphic algorithm is proposed. The modules concurrently process the local sensing information, update their eigenvector, and act by the same predetermined logical rules. Then a reasonable motion sequence for modules and the global metamorphosis can be obtained. Therefore, the complexity of metamorphic algorithm is reduced, the metamorphic procedure is simplified, and the self-organizing metamorphosis can be obtained. The algorithm cases of several typical systems are studied and evaluated through simulation program of 2-D planar homogeneous modular systems.

Some Practical Issues Related to Univariate Regression Analysis Prior to Multivariate Regression Analysis in Randomized Controlled Clinical Trials

Often many variables have to be analyzed for their importance in terms of significant contribution and predictability in medical research. One of the possible analytical tools may be the Multiple Linear Regression Analysis. However, research papers usually report both univariate and multivariate regression analyses of the data. The biostatistician sometimes faces practical difficulties while selecting the independent variables for logical inclusion in the multivariate analysis. The selection criteria for inclusion of a variable in the multivariate regression is that the variable at the univariate level should have a regression coefficient with p 〈 0.20. However, there is a chance that an independent variable with p 〉 0.20 at univariate regression may become significant in the multivariate regression analysis and vice versa, provided the above criteria is not strictly adhered to. We undertook both univariate and multivariate linear regression analyses on data from two multi-centric clinical trials. We recommend that there is no need to restrict the p value of 〈= 0.20. Because of high speed computer and availability of statistical software, the desired results could be achieved by considering all relevant independent variables in multivariate regression analysis.

Design of Control Scheme for Variable Air Volume Air- conditioning System

The air quantity of variable air volume system for the rooms and the total air quantity of the system changes with the change of room load. Combined with the system composition in the laboratory, the paper determines the control scheme of the variable air volume system, that is, indoor temperature-control, indoor positive pressure control, air distribution static pressure control, air-supply temperature control and new air volume control. The dotted lines with arrows mean the output signals from the control unit to actuator, and the solid lines with arrows represent the input signals from the actuator to the control unit.

Structure of different types of coal metamorphism by HTEM

In order to discuss the effect of tectonic stress on the structural evolution of coal, given the importance attached to High-resolution Transmission Electron Microscopy (HTEM), we investigated several aspects of material structures of high-rank Carboniferous period coal, located in the northern foreland basin of the Dabie orogenic belt in eastern China. High powered crystal lattice images of Bright Fields (BF) and Selected Area Diffraction patterns (SAD) of different types of metamorphism in coal were obtained. The results show that the Basic Structural Units (BSU) become increasingly more compact as a function of rising tem-perature and pressure. Under pressure, the local orientation of molecules is strengthened, the arrangement of BSU speeds up and the degree of order is clearly enhanced.

Strains Recorded Using a Seismometer Data Acquisition Unit

A seismometer data acquisition unit has been used in the Changping seismic station to record the output of a strainmeter. The output of a strainmeter was sampled at a rate of l00/sec by seismometer acquisition from the original rate of 1 per minute. Plenty of high frequency sampled data was recorded. The minute value curve calculated from the seismometer acquisition are consistent with that of the original data sampled by the strain acquisition system. More complete waveforms were recorded with a higher sampling rate, and seismic phase parameters calculated by using higher sampling rate strain seismic waves are also in consistency with the results of its predecessors. Spectra of the strain seismic waves are compared with that of seismic waves recorded by a seismometer in the Shisanling seismic station, and their trends are almost the same. Besides, some lower frequency components still exist in strain seismic waves.

Surface settlement caused by twin-parallel shield tunnelling in sandy cobble strata

City metro tunnels are usually constructed as twin-parallel tunnels and their adjacent construction may lead to surface deformation,affecting the surface environment and the safety of the tunnels.Due to its strong dispersion,sandy cobble strata can be easily disturbed by shield tunneling.Based on the project of the Chengdu Metro Line 1,field and model tests were carried out to study the surface settlement caused by shield tunneling in sandy cobble strata by measuring surface settlement curves,ground loss ratios and construction influence zones.The discrete element method(DEM) was used to study the factors affecting the formation of ground arches in sandy cobble strata at the microscopic level.Results show that the shape of the surface settlement curve in sandy cobble strata is different from that in soft soil.The buried depth and clear spacing of the two tunnels had a significant impact on the formation of ground arches.

Research advances in animal distant hybridization

Distant hybridization refers to crosses between two different species or higher-ranking taxa that enables interspecific genome transfer and leads to changes in phenotypes and genotypes of the resulting progeny.If progeny derived from distant hybridization are bisexual and fertile,they can form a hybrid lineage through self-mating,with major implications for evolutionary biology,genetics,and breeding.Here,we review and summarize the published literature,and present our results on fish distant hybridization.Relevant problems involving distant hybridization between orders,families,subfamilies,genera,and species of animals are introduced and discussed,with an additional focus on fish distant hybrid lineages,genetic variation,patterns,and applications.Our review serves as a useful reference for evolutionary biology research and animal genetic breeding.