查询词典 piecewise monotonic function

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。

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

Finite element methods are analyzed, where the stress is approximated by the discontinuous Raviart-Thomas element of lowestorder,and the velocity by the piecewise constant element,and the Lagranian multiplier by the trace space of the piecewise continuous linear element.

然后发展其有限元方法：对应四变量分别用间断型Raviart-Thomas最低阶元，分片常数元，连续线性元和连续线性元的迹空间，我们获得了稳定性和最优误差界，通过后处理办法，我们得到一个适合于计算的速度-压力格式，该格式可视为"mini"元方法的一个变形（本文格式中引用了局部投影算子）。

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。

There are different types of personal loans available.

有许多不同类型的个人贷款优惠。

The above mentioned teaching model of spiral rising can be used to avoid rigidness in teaching.

上述螺旋式上升的教学模式，可以避免教学形成模式後的僵化现象。