查询词典 piecewise continuous function

Then, with the assumption that the consumption of an investor is the continuous or piecewise continuous function of time, the corresponding optimal investment decision and the effective frontier are derived by using the stochastic linear-quadratic control.

假设投资者的消费是时间的连续函数或者分段连续函数，应用线性二次随机控制的方法得到了这两种情形下的最优投资决策和有效前沿。

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。

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。

Theoretical analysis and experimental results demonstrate that some well known piecewise linear representation methods are special situations of proposed method. 2 A systemic method of indexing and similarity based querying in time series databases based on Piecewise Polynomial representation is proposed.

这项研究还从理论上证明了分段多项式表示是一种理想的时间序列高级数据表示形式，而著名的分段直线表示法和分段合计表示法只是PPR的特例。

The concise control scheme and particular control algorithms employed are illustrated in detail, which mainly include pressure piecewise control for heat pump group and the low-point selection control for heat pump actuator, the pressure piecewise control for low-temperature dryer of Wet paper sheet, the pressure split control for the secondary steam recovery of oven and the cascade control for paper sheet moisture.

简要介绍纸幅干燥原理和热泵节能机理，设计一套基于S7-300 PLC的五叠网涂布白板纸机蒸汽冷凝水热力控制系统，阐述具体的控制方案和采用的控制算法，其中主要包括热泵组的压力分段控制和热泵开度的低端选择控制、湿端低温段烘缸组压力回路分段控制、热烘箱二次蒸汽回收压力回路的分程控制和成纸水分的串级控制。

The program is divided into five blocks: the main function, contracting keys function, numbers and decimal memory function, processing function, the value function, display function,rest function and positive and negative function.

将程序分为五个模块：主函数、判键函数、数字和小数点存储函数、运算处理函数、求值函数、显示函数、正负和清零处理函数。

Special attributes: func doc or doc is the function's documentation string, or None if unavailable; func name or name is the function's name; module is the name of the module the function was dened in, or None if unavailable; func defaults is a tuple containing default argument values for those arguments that have defaults, or None if no arguments have a default value; func code is the code object representing the compiled function body; func globals is the dictionary that holds the function's global variables — it denes the global namespace of the module in which the function was dened; func dict or dict contains the namespace supporting arbitrary function attributes; func closure is None or a tuple of cells that contain bindings for the function's free variables.

func defaults是一个包括有参数中设有默认值的元组；func name 或 name 是函数名。func code是一个编译后的代码对象；func globals是一个引用，指向保存了函数的全局变量的字典—-如果你在函数所在模块中定义了全局变量的话。func dict或 dict 包括了支持任意函数属性的名字空间；func closure 要么是None，要么是包括有函数自由变量捆绑的单元的元组。

A kind of method to determine boundary conditions of interpolating quadric spline function with halfknots as conjunction points, which is C 1 continuous but its second derivative function is piecewise constant, is obtained by means of least squares.

鉴于此，本文利用最小二乘法，获得了一种半节点二次插值样条边界条件确定方法，该方法可以保证二次插值样条在半节点处二阶导数的变化最小，这相当于保证了曲率的变化最小。

Secondly, based on the piecewise continuous Lyapunov function andconstant Lyapunov function, the problems of robust guaranteed cost control forparametric uncertain sampled-data control systems are investigated by using the jumpsystem model and linear matrix inequality technique.

然后，针对参数不确定采样系统的鲁棒保性能控制问题，利用跳变模型和线性矩阵不等式技术，分别基于分段连续Lyapunov函数方法和定常Lyapunov函数方法研究了采样系统的鲁棒保性能控制器综合问题。

Chinese traditional virtue is humility and wariness,the compliment and praise to the others should be declination

中国人的传统美德是谦虚谨慎，对别人的恭维和夸奖应是推辞。如

We bought this house on the never-never.

我们以分期付款的方式买下这座房子。