可分多项式

In this research a new mathematical model - cubic polynom with two given derivatives at end points - was proposed which can good match the S-shpae curve.This model has a number of analytical features:describing the geographic phinomena prosesses in three hierarchies (textural fractal,structural fractal and state fractal); the boundary values of the structural fractal can be considered as the boundary values of interval of scaleless.

在研究中提出了扩展分维表达函数：带导数三次多项式，它能很好地表达反S形分布曲线，具有一系列解析特征：可从三个层次（纹理分形、结构分形和态势分形）上描述地理现象或过程；其中结构分形的边界可近似地看作是非扩展分维无标度区的上下界。

In allusion to dynamic nonlinear large-scale industrial processes, to bring up gained the method of decentralized identification for the strong consistency estimates of the divisible steady-state models, it is used that property of polynomial can infinitely approach to the nonlinear function and in optimization processes use step signals as input signals, the divisible steady-state models of dynamic nonlinear large-scale industrial processes, and the cognizable conditions are obtained.

针对动态非线性大工业过程，提出了得到其可分稳态模型强一致性估计的分散辨识方法；利用多项式对非线性函数的无限逼近的性质和优化过程中设定点的阶跃信号作输入激励信号，获得了动态非线性大工业过程的可分稳态模型和可辨识的条件。

The authors studied carefully two numerical differential methods, finite difference method and rational polynomial technique, and pointed that FDM is the special ease of RPT when the limit state function is linear. Accordingly, FDM3 can be used for the continuous linear limit state function and RPT5 for the continuous nonlinear limit state function. For the discontinuous limit state function, RPT should be used because of the large error of FDM.

对于可靠度分析中常用的有限差分法及有理多项式法这两种数值微分方法，本文详细研究了二者间的异同及其求导结果与步长的关系，指出了对于相同的步长控制系数及取样方式，FDM是RPT在线性情况下的特例；对于连续的线性功能函数，可直接用3点FDM求导；对于连续的非线性功能函数，可用5点RPT求导；对于非连续的功能函数，应采用RPT求导。

Asynchronous loading of control parameters · Rapid (25ns per pixel) rotation, warping, panning, and scaling of images · Three-dimensional image addressing capability · General third-order polynomial transformations in two dimensions on-chip · Three-dimensional transformation of up to order 1.5 also supported · Flexible, user-congurable pixel datapath timing structure · Static convolutional ltering of up to 16 x 16 Pixel, 256 x 256 pixel or 256 x 256 x 256 pixel windows · User-selectable source image subpixel resolution of 2-8 to 2-16 · Pin-compatible upgrade to TMC2302 · 24-bit (optional 36-bit) positioning precision within the source image space, 48-bit internal precision · Low power CMOS process · Available in a 120-pin Plastic Pin Grid Array and 120-lead Metric Quad Flat Pack

1第1页，本页显示记录1-11，共11条记录分1页显示·异步控制参数加载·快速（25ns的每个像素）旋转，弯曲，平移，缩放和图像·三维图像处理能力·一般二维三阶多项式变换片·三高达1.5三维变换命令也支持·灵活，用户可配置的数据通道的静态时序结构·高达16 × 16像素滤波卷积像素，256 × 256像素或256 × 256 × 256像素（3通）窗口·用户可选的源图像亚像素分辨率的2-8 2-16·引脚兼容的升级TMC2302·24位（可选36位）的定位源图像的空间内，48位内部高精度·低功耗CMOS精密加工·提供120引脚塑料针栅阵列和120引脚公制四方扁平封装

The discrete velocity ordinate method in the kinetic theory of gases is developed and applied to discretize the correspo

借助非定常时间分裂法和无波动无自由参数的NND耗散格式，建立直接求解微观分子速度分布函数的有限差分数值格式；研究并发展可用于离散速度坐标点选取和离散速度空间宏观取矩的高斯─埃尔米特无穷积分方法、等均间隔的牛顿─柯斯复合积分法、以勒让德多项式的根为积分结点的高斯─勒让德数值积分法，并应用于不同马赫数绕流模拟；通过对不同流域一维激波管问题、二维圆柱绕流问题和三维球体绕流的计算研究，并将计算结果与其他途径得到的研究结果诸如DSMC模拟值、N-S解及有关实验数据进行比较分析，创建了一套能有效模拟稀薄流到连续流不同流域气体流动问题简化的统一数值算法研究框架

This thesis is devoted to study the properties of the solutions of some specialrefinable equations,such as properties of multi-refinable,global linear independence,local linear independence and local polynomial property,etc,by using fractal theory,measure theory and theory of generalized functions.

本文的主要目的是通过用分形几何中的一些想法以及测度论和广义函数中的一些知识来研究一些特殊的细分方程的解的一些性质，如多重可细分性、整体线性无关性、局部线性无关性和局部多项式性质等。

Since the separable element algorithm of the rational univariate representation for solving zerodimensional systems presented by Rouillier makes the size of the coefficients in this representation too long, an improved algorithm for finding separating elements is presented in this paper, which is implemented by confirmingthe separating element of the coordinates step by step.

针对零维多项式系统中Rouillier计算可分元的算法使其相应的有理单变量表示中整系数过长的问题，提出一种改进的可分元选取算法，新算法通过逐步确定坐标可分元得以实现。

Based on Wu's elimination method and "divide-and-conquer" strategy, the undetermined coefficient method for constructing polynomial conservation laws of nonlinear differential-difference equations was improved. Furthermore, a Maple package CLawDDEs was developed to automatically derive conserved densities and associated fluxes of polynomial differential-difference equations.

基于吴消元法和"分治"策略，改进了基于标度不变性构造非线性微分差分方程多项式形式守恒律的待定系数算法，并在计算机代数系统Maple上实现了改进后的算法，其中的软件包CLawDDEs可自动推导出微分差分方程的守恒密度及连带流。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。