查询词典 piecewise continuous function

We decompose curvature signal with wavelet at first and then use its low frequency coefficients as new smooth curvature signal, which is used to construct a G^2 continuous piecewise rational cubic Bezier curve with (Geometric Hermite Interpolation, GHI) GHI method subsequently.

针对在逆向工程的实践中常见的轮廓线的光顺问题，给出了一种先对曲率图进行小波分解，提取其低频部分作为新的曲率图，并利用几何Hermite插值方法，生成G^2连续的分段三次有理Bézier曲线，从而重建出光顺的产品轮廓曲线的新方法。

A method to analyze the dynamics of piecewise continuous system is presented, based on it, the chaotic oscillation of a harmonically forced spring-mass system with friction is studied. The impact of friction and other parameters on the chaotic oscillation of this system is analyzed.

分析了系统参数和摩擦模型对系统混沌行为的影响；发现了摩擦模型的选取对系统动力学行为分析的重要性；揭示出在一定条件下，系统参数、环境条件或润滑条件的改变都有可能使系统进入无序的混沌运动状态。

As the complete characteristic curves of reversible pump turbine are often used to calculate the instantaneous parameters, this paper studies the characteristic curve and the wicket closure and opening law in pumped storage plants.Chapter 1 presents the importance and the necessity of this study and reviews the previous related research on hydraulic transient process and valve regulation in pumped storage plants.Chapter 2 analyzes the six collected characteristic curves of reversible pumped turbine and studies their diversification from the point of view of specific speed. The six collected discharge and moment curves with maximum efficiency have been fitted to piecewise continuous curves. This curve-fitting procedure is listed.Chapter 3 takes Liyang Pumped storage plant as an example and analyzes the effect of different characteristic curves on regulation guarantee parameters and the variety of its trochoid during the same operation status.Chapter 4 takes three pumped storage plants with different heads as examples and studies the characteristic of coordinated closure with wicket gate and ball valve and its effect on dynamic pressure in the spiral case, inlet pressure in the draft tube and the rise of rotating speed.Chapter 5 summarizes this paper and point out what should be done in the future research.

由于在过渡过程分析计算中，需要频繁利用可逆式机组的全特性曲线推求机组的瞬时参数，所以本文就特性曲线及关闭规律问题进行了研究，其主要内容如下：第1章，指出本文研究的意义和目的，回顾前人对水力过渡过程、抽水蓄能电站及阀调节的研究成果，在此基础上提出本文的研究内容；第2章，针对收集到的六套特性曲线，从比转速的角度出发来研究可逆式机组特性曲线的变化规律；并对六套曲线的最高效率流量和力矩曲线进行分段拟合，得到各分段函数的具体形式，再通过举例说明最高效率曲线的拟合步骤；第3章，以溧阳抽水蓄能电站为实例，分析讨论不同比转速特性曲线对调保参数造成的影响及对于相同工况其轨迹线的变化；第4章，结合高、中、低三水头段抽水蓄能电站，在导叶直线关闭的基础上，研究导叶与球阀协联关闭规律的特点及对蜗壳动水压力、尾水管进口压力及转速上升造成的影响；第5章，总结全文，提出今后研究的重点和方向。

In chapter 2, we introduce a generalized harvesting model, which is belong to piecewise continuous argument delay equations, we present sufficient condition to ensure the global attractivity of unique positive equilibrium and explore the possibility of emerging complex behavior-chaos.

研究了其正平衡解的全局吸引性，和可能出现的复杂动力学行为－－混沌；利用概周期序列的概念研究了分段连续时滞的微分方程的概周期解的存在性。

For the joint density function of 2-D continuous random variables, a new function can be obtained by upper limit-variable integral, and then, by normalization of the new function according to the property of density functions, a general marginal density function was constructed.

对二维连续型随机变量的联合密度函数，在一定要求下变上限积分得到新函数，依据密度函数性质进行规范化，从而构造出一个广义的边缘密度函数。

Address the characteristics of non-uniform speed transmission, position function control and transmission ratio function control were presented to realize electronic gearbox. The differences between position function curve interpolation and general NC interpolation were analyzed. Considering the effect of uncontrollable continuous principal motion, interpolation slope and position function precompensation interpolation were presented. The relationship among interpolation, servo dynamic response and transmission precision was studied. The coordinate linkage relationship and electronic gearbox scheme in noncirclar gear hobbing were studied.

对电子齿轮箱实现非匀速比传动进行了研究，提出了位置函数控制与传动比函数控制两种非匀速比传动关系的实现方法；对位置函数控制方式，分析了位置函数曲线的插补与普通数控插补方法的区别，提出了插补斜率的概念与位置函数曲线的预补偿插补方法；对非匀速比电子齿轮箱传动精度进行研究，得出了插补精度、伺服系统动态性能指标与传动精度之间的关系；研究了非圆滚齿加工坐标联动的非匀速比传动关系，列出了多种可以满足要求的电子齿轮箱传动方案。4。

Theorem 1 constructs a set of universal measure zero using continuous extension; Theorem 2 verifies absolutely continuous function being of good property under some condition; Theorem 3 reveals some relation between real function and meager.

定理1 主要运用了连续延拓构造了一个泛测度零集；定理2 证明绝对连续函数在一定条件下具有良好的性质；定理3 揭示了实函数与第一纲集的某种关系。

Using the equivalent condition under which the limit of a sequence of fuzzy numbers exists in the sense of level convergence, we analyze the structure of the level continuous fuzzy number valued function. On the basis of it, we prove the level continuous fuzzy number valued function on a closed interval exists supremum and infimum and give the precise representation.

利用模糊数序列水平收敛意义下极限存在的充要条件，在分析了水平连续函数结构特点的基础上，证明了闭区间上水平连续的模糊数值函数存在上、下确界，并给出了上、下确界的具体表达式。

In our work, a new continuous thermodynamics method for petroleum fraction phase equilibrium calculation has been proposed, in which true boiling point distillation curves for petroleum fractions were considered to be a continuous distribution function and the distribution variable was TBP temperature, and at the same time, a spline method was used in the distribution function calculation.

在以上工作的基础上，建立了具有普遍实用性的常压塔精馏计算的数学模型，并对多个工业装置进行了实际的模拟，模拟结果与装置的实际情况符合良好，在预测塔的抽出温度，抽出产品的性质，以及各个侧线产品收率等方面都得到满意的结果。

By getting Lebesgue characteristic of integrable function of Riemann from the definition of gather zero measure, it discusses the relation between almost continuous everywhere and existent of limit, and gets that the almost continuous everywhere is equal to the almost limit existence everywhere in the integrable function of Riemann.

通过定义零测度集给出了可积函数的特征，讨论了其几乎处处连续与极限存在的关系，即可积函数中几乎处处连续与极限的几乎处处存在是等价的，得出了比正规函数更加广泛的统一条件，得出了有界变差函数是可积函数的结论。

Tom: You are right, he worked hard all the time.

你是对的。他一直都是努力工作。

Take shortcomings,failures,and mockings of others as commonplace and a drive to complete oneself,hold your own opinion over the evalution and disscution divested from others,afterwards sink into the state of eliminate mistakes if any or encourge oneself being not being influenced by the sayinngs of others or having no ideas to do.

把缺点、失败及别人的耻笑等看成是一种常事，当成完善自己的动力，对别人的评价和议论自己心中有主见，做到&有则改之，无则加勉&，不为人言所左右或无所适从。