查询词典 piecewise smooth

The paper applies algebraic geometry, computational geometry, approximation theory to study the following problems: the Nother type theory and the Riemann-Roch type theory of the piecewise algebraic curve; the number of real intersection points of piecewise algebraic curves; the real piecewise algebraic variety and the B-net resultant of polynomials.

本文应用代数几何，计算几何，函数逼近论等学科的基本理论，分别就分片代数曲线的Nother型与Riemann-Roch型定理；分片代数曲线的实交点数；实分片代数簇以及多项式的B-网结式进行研究。

On the assumption that the unevenness of runway profiles along the direction of taxi - ing is a stationary random function,techniques of piecewise constant-speed taxi ing runs and piecewise linear representation of dynamic properties of airplane landing gears are adopted in this paper to approximately simplify the actual nonlinear and nonstationary random vibration prob-lems to the piecewise linear and stationary ones.

在飞机滑行方向跑道路面不平度为平稳随机函数的假设下，采用滑行过程分段等速化、起落架动态特性分段线性化方法，把原非线性非平稳随机振动问题，简化为分段线性平稳随机振动问题。

Theorem(Stokes's Theorem) Let be a piecewise smooth oriented curve in three-space, be a piecewise smooth oriented surface with boundary curve .The surface and the curve are related by a right-hand relationship, i.e., if the fingers of the right hand are cupped in the direction of ,then the thumbpoints in the direction of orientation of .,, have continuous first partial derivatives on and ,then

定理 设为分段光滑的空间有向闭曲线，是以为边界的分片光滑的有向曲面，的正向与的侧符合右手规则(即如果右手大拇指表示曲面的方向，则弯曲四指表示曲线的方向)，函数，，在曲面上具有一阶连续偏导数，则有下述公式成立

By the detail discussion onthe hardware of the smooth path control system of single-chip microcomputer developed and the system software including new type continuous smooth path software, the analyzing of international standard program languageISO andthe attempt to developmental application in the smooth path control systemand experiment have been done, the description of the smooth path of the non-circular curive such as ellipse, hyperbola, parabola and their realignment has been realized by the way directly to input their parameters. The correctnesson the priciple and the method of the continuous smooth path control and the forthright on programing method hayed been proved by the experiment, new way to realize higher accracy continuous smooth path control has been developed.

通过对所研制成功的单片微机平滑轨迹控制系统硬件和包括新型的连续平滑轨迹生成软件在内的系统软件的详细描述，进行了国际通用标准编程语言△ISO标准编码的分析和在平猾轨迹控制系统中扩展应用的尝试和实验，实现了椭圆、抛物线、双曲线等非圆曲线及其组合的直接参数输入的平滑轨迹轮廓描述，并通过实验证明了连续平滑轨迹控制原理及方法的正确性和程序编制的简捷性，为实现高精度连续平滑轨迹控制开辟了一条新的途径。

The collector in dynatron of smooth Ou photosensitive or blast off extremely direct receive laden resistor to be able to satisfy lesser laden requirement; to be in of dynatron of smooth Ou photosensitive blast off extremely add dynatron enlarge drive, the push-pull type circuit that through two photoelectricity coupler makes and feedbacking through increasing photosensitive dynatron base, reach stronger laden capacity already, increased the interference rejection capacity of power interface, the outputs power inadequacy weakness that overcame smooth Ou, raise the switch rate of smooth Ou again, overcame the distributinging capacitance as a result of existence of smooth Ou oneself, cause an effect to transmitting speed.

在光耦光敏三极管的集电极或发射极直接接负载电阻即可满足较小的负载要求；在光耦光敏三极管的发射极加三极管放大驱动，通过两只光电耦合器构成的推挽式电路以及通过增加光敏三极管基极正反馈，既达到较强的负载能力，提高了功率接口的抗干扰能力，克服了光耦的输出功率不足的缺点，又提高光耦的开关速度，克服了由于光耦自身存在的分布电容，对传输速度造成影响。

According to characteristics of the discontinuous piecewise rigid-body model and the continuous deformable body model, a new model—Arbitrary Mesh Interface Element Model based on piecewise rigid-body displacement pattern and strain accumulated on interfaces is established, which can put both continuous media problems and discontinuous media problems into consideration.

本文根据不连续的分片刚体模型和连续介质变形体模型的特点，建立了统一分析连续介质问题和不连续介质问题的新模型——基于分片刚体位移模式和界面累积变形的任意网络界面元模型。

It's the first time that from the angle of computational mathematics combined with the structure model of parallel machine, the parallel degree of the relevant algorithms in orthopaedics clinic engineering modeling system, such as piecewise cubic Lagrange interpolation formula, piecewise cubic Hermite's interpolation formula, cubic spline, Chebyshev multinomial fitting algorithms, least square method and contour curve multinomial algorithms, were discussed.

论文首次从计算数学的角度并结合并行机的结构模式出发，讨论了在骨科临床工程造型系统中可能涉及的如分段三次拉格郎日插值公式、分段三次埃尔米特插值公式、三次样条函数、切比雪夫多项式拟合算法，最小二乘法以及轮廓曲线多项式求值算法的并行度。

Finally,the concept of the Conley index for piecewise continuous maps is defined, and an example for calculating the Conley index of a 1-d piecewise isometry is given.

最后，本文介绍了间断动力系统的Conley指标的概念，并给出了一个一维分片等距映射的例子，计算了其Conley指标。

In this paper,we give the error expressions of piecewise linear Lagrange polynomial interpolation and piecewise cubic polynomial interpolation using the Taylor expansions.

中文摘要：本文利用Taylor展开得到三角形上线性Lagrange插值和三次Lagrange插值的导数余项公式，对这些余项公式进行分析，给出了两类能以四阶精度逼近被插函数在对称点的导数值的格式，一种是在均匀剖分时其分片线性插值的相邻单元的导数值的后处理格式，一种是在六片强正规剖分时的三次插值在对称点上的导数值的后处理格式，使得在已知原函数在各节点的值后，通过一个简单的线性计算就可得到原函数在对称点的导数的一个超逼近值，将以往提出的平均导数的二阶精度提高到四阶。

Because of the condition of 〓 for two neighbour parametricspline surfaces is too strong,here,instead of it,some simple and practicableconditions of 〓 resulted from the general theorem obtained by Prof.LiuDing Yuan in Chapter 1 were proved,and three 〓 triangular splinesurfaces schemes wre presented:one is piecewise cubic spline surface patcheshaving local 〓 and whole 〓 continuity based on the refined HCTtriangulation,another is the same degree spline surface patches but based onthe refined Powell-Sabin triangulation,the third is piecewise quartic splinesurface patches having local 〓 and whole 〓 continuity based on therefined P-S triangulation.

由于对参数曲面，一阶导数连续的要求较强，我们采用第一章从刘鼎元定理导出的简单实用的几何连续条件，讨论了基于HCT加细三角剖分和P-S加细三角剖分上的两种局部达一阶导数连续而整体有一阶几何连续的分片三次样条曲面构造算法，一种局部达二阶导数连续整体有一阶几何连续的分片四次样条曲面构造方法。

In the days of sailing vessels the crew were afraid they would be becalmed on the ocean.

在使用帆船的时代，船员们担心他们会因为无风而无法在海洋上航行。

As long as foreign donors pay the PA's salary bill, few expect a new intifada.

只要外国继续为巴权力机构的薪水买单，希望发动新暴动的人便寥寥无几。