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Firstly, some basic concepts about ECC are introduced;then the scalar multiplication under affine coordinate is discussed, we make a research and analysis of the side channel attack of scalar multiplication used in portable device, give out a new scalar multiplication algorithm which has the advantage of efficiency over other protected algorithm; and an improvement of the standard scalar multiplication algorithm proposed by IEEE1363 is made with the efficiency increasing by about 10%; at last, we deal with the using of complex multiplication in scalar multiplication algorithm, we generalize the methods and deduce a complete computing procedure, with proposing a new method which used several different fast endomorphism ,we give out an approach to boost the scalar multiplication with fast endomorphism.

本文首先介绍了椭圆曲线密码的有关基本概念;其次介绍了椭圆曲线上点的标量乘法在仿射坐标下的计算,对一般便携设备上的椭圆曲线点的标量乘法的边信道攻击做了研究与分析,给出了一种在效率上优于其它可抵抗边信道攻击的标量乘法的新算法,并对IEEE P1363 标准给出的标量乘法做了改进,使得标量乘法的运算效率提高了近10%;最后介绍了利用复乘计算标量乘法的方法,对已有的方法进行总结归纳,得出完整的计算过程,并针对两类超奇异椭圆曲线给出了一种利用多个可快速计算的复乘的标量乘法,得出一类普遍的结果,并给出了进一步用复乘加快标量乘法的思路。

In accordance with two independent rectangular coordinate systems, this paper discusses the complete coordinate formula of the middle spiral curve, the two groups' basic relation which is different to the general one and the significant intentions for averting chain breaking, which comes from the line parameter selected to compute the right coordinate of the curve points.

从二个独立的直角坐标系出发,分析中插缓和曲线点位坐标计算的完整模式,说明中插缓和曲线有别于一般缓和曲线的两种基本关系,指出有效选用连接参数m值在准确计算中插缓和曲线完整点位坐标避免曲线断链的重要作用,结合实例阐述任意测站坐标变换技术计算中插缓和曲线点位坐标的公式和应用效果

A simplified method was proposed to deal with the boundary condition at the turbine unit for transient calculation. This method is based on the statistical analysis of turbine hill chart and the Eular equation for water turbines. According to the Eular equation, the basic geometry parameters of the turbine, such as guide vane opening a, blade outlet angle β2, the relative blade width of outletb2, the relative height of wicket gateb0 and the relative turbine exit radiusr2 are obtained through curvilinear regression of the water turbine hill charts.

为解决目前水轮机过渡过程计算中确定水轮机边界条件时通常使用的外特性法和内特性法的不足之处,结合这2种方法的优点,提出一种在水轮机过渡过程计算中处理水轮机边界条件的方法,即根据综合特性曲线的数据,利用统计分析方法和水轮机基本理论公式,计算水轮机基于内特性解析方程的基本参教,如出流角α、转轮出口安放角β、转轮出口相对宽度b2、导叶相对高度b0、转轮出口相对半径r2,在特性曲线上的规律。

Next, what have double input and variable of 2 dimension appearance in the light of a kind is nonlinear system, used opposite curvature concept and curve to design controller of contract of appearance of 2 dimension plane by basic theorem, the curve of contrail of appearance be accusinged that controller of contract of this kind of appearance can assure a system and referenced contrail curve have identical figure.

梗概: 针对一般控制系统,利用微分几何中的曲线理论提出了外形变量、被控外形轨迹曲线和外形合同控制等概念。然后,针对一类具有双输入及二维外形变量的非线性系统,利用相对曲率概念和曲线论基本定理设计了二维平面外形合同控制器,这种外形合同控制器能够保证系统的被控外形轨迹曲线和参考轨迹曲线具有完全相同的外形。

This paper presents the basic concept of the production systematic analysis gas well and the basic principle and method in nodal point analysis of the gas well; Give the result of deep going analysis as well as research on the gas flow rule in the wellbore,performance relationships curve of inflow and outflow as well as the curve of pure gas well sand liquid production on gas wells.

本文重点论述了气井生产系统分析的基本概念、基本原理和方法,对天然气在井筒中的流动规律,气井流入与流出动态曲线,纯气井和产液气井的动态曲线,进行了较为深入的系统分析和研究。

The paper discuss about the space curve and plane curve, and introduce the basic concept and the relations of them which we use to solve problem.

介绍了空间曲线和平面曲线的基本概念,空间曲线和平面曲线的关系,利用空间曲线与平面曲线的关系解题。

According to the theory of Sagnac FourierTransform spectrometer, the method which we used to reconstruct the spectrum correctly from the captured interferogram was developed. With the steps of trend term correction, apodisation, phase correction and conjugate symmetrization applied to the interferogram captured and then reconstructed it, the error was avoid.The experiment to reconstruct the spectrum of monochromatic light source such as Helium lamp used in the developed prototype was carried out. The results agree with the nominal spectrum distibutions of the sources with the accuracy of 4nm.

介绍了Sagnac型干涉成像光谱仪基本原理,针对上述问题得到一套对采集得到的干涉图进行光谱重构的方法,通过对所采集干涉图进行消趋势项、切趾、相位校正、共轭对称化等步骤的处理,再进行重构,即可有效避免直接重构所带来的误差,使用所研制的原理样机对氦灯等单色光源进行光谱曲线重构实验,得到的光谱强度分布曲线与标称曲线基本吻合,光谱复原精度达到了4nm,具有较好的重构效果。

Its survival curve could be described by Deevey-Ⅲ.

云南红豆杉的存活曲线属于Deevey—Ⅲ曲线,该种群的死亡率曲线与消失率曲线变化趋势基本一致,均在龄级为110~130a和220~250a阶段出现第一和第二峰值。

This paper establishes cubic spline function, analyzes subsection curve function and curve slope and curvature, at last decides to place the curve especial points which can be obtain easement curve length and other line parameters, such as the ZH point (end of line and beginning of transition curve), the HY point (end of transition curve and beginning of circular curve), the QZ point, the YH point (end of circular curve and beginning of transition curve), the HZ point (end of transition curve and beginning of line).

针对公路平面线形的8种组合类型,其线形元素特征则由最基本的直线、圆曲线、缓和曲线组成的特点,解析三次样条函数模型,得分段曲线函数、曲线斜率、曲率,从而确定曲线特征点(直缓ZH点、缓圆HY点、曲中QZ点、圆缓YH点、缓直HZ点)位置,进而得到曲线缓和曲线长度及其他线形参数。

Improving vertical resolution for density curves is by means of restructuring the response from large and small spacing sondes and borehole effect correction factor and coherence factor are used. Form the principle of GR logging, calculate volumes in investigating areas taken by borehole, formation, up and low shoulder beds, along with distance between center of gravity of the four unit bodies and detector. Based on the above, the weighting function of each unit body to GR signal contributions are established, thus realizing processing of GR logs with high resolution. The resistivity logging model uses "resolution matching" method to improve the resolution of the logs. After the process, PNN model is made to recognize the oil-gas-water bed. Compared with BPNN, the net work is featured swiftness, accuracy and ease of practical application.

提高密度测井曲线垂直分辨率是通过对重新组合长、短源距探测器响应的算法来提高补偿密度曲线的垂直分辨率,并加入井眼影响校正因子和相关性因子;自然伽马测井模型从基本原理出发,扣除井的影响,计算井筒、地层及其上下围岩所占探测球域体积及其重心到探测器的距离,以此建立各单元体对伽马测井信号贡献的权函数,通过权函数逐层计算不同厚度地层条件下各的单元体权因子,实现自然伽马曲线高分辨率处理;电阻率校正模型应用&分配率匹配&模型,应用低分辨率曲线提高为高分辨率曲线:曲线校正后,利用常规测井资料并且结合校正后的密度、伽马、电阻率等三个对判断油水层有利的指标,通过概率神经网络模型识别储层流体性质,较以前的模型,不仅极大的提高识别正确率,同时与普通神经网络相比较,提高了网络的运行速度和实用性。

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