查询词典 piecewise differentiable function

We constructed a finite volume scheme of fifth order Hermite type with high accuracy for twopoint boundary value problems, choosing trial and test spaces as the fifthorder finite element space of Hermite type and the piecewise linear function space respectively. We didn't use higher derivatives as interpolation conditions, which is the same as the thirdorder finite element of Hermite type, but the scheme obtained had higher accuracy.

构造求解两点边值问题的一种Hermite型五次元高精度有限体积法，其中试探函数空间取Hermite型五次有限元空间，与Hermite型三次元相同，未引入更高阶导数作为插值条件，检验函数空间取分段线性函数空间，这样构造的格式求解精度更高。

A piecewise linearization data fitting method based on least square principle is used to set the relation function between measuring value and real value,which is then applied to calibrate the channel error in a new multi-calibration method,namely,amplitude calibration,phase calibration and amplitude-phase relation calibration method.

分析了电力线路工频参数测量装置中相差测量对阻抗测量精度的影响，在此基础上提出将基于最小二乘原理的分段线性数据拟合方法应用到装置通道的校准中，实现包括通道幅值、相差及幅值-相差关系的多重校准的新方法。

We shall give some computational results to illustrate the properties of the weighted curvature flow when ω is a nonnegative piecewise smooth weight function.

紧接著，我们将探讨当加权函数是一非全平滑的函数时，该加权的曲度流程对於平面曲线的作用。同时，我们将尝试透过电脑模拟该加权曲度流程对於影像的变化。

The recursion formula was derived based on the assumption that the mass ratio of thedrop breakup is uniformly distributed.We also proposed a piecewise power function to describethe drop size distribution.

由液滴以均匀概率分裂的假设而导出了液滴粒度分布函数的递推公式，并建议分布函数采用分段幂函数的形式。

If we can use suitable method to calculate the derivative at nodes, a new piecewise cubic hermit interpolation function can be proposed, which has C^1 continuity and monotonicity preserving in the subinterval.

如果能够用适当的方法来计算出节点处的导数，则可以构造一种新的分段三次Hermit插值函数，它具有C^1连续性并在子区间保持单调。

A three-phase watt-hour meter with function of piecewise measuring in real time is designed and realized.

设计实现了具有实时分段计量功能的三相电能表。

Piecewise analysis over the period of different tangential motion is used to overcome the energy inconsistence and the sign function is introduced to solve the second problem.

当处理多刚体系统的冲击问题时，经典的分析方法是通过在无限小的时间间隔上直接积分得到冲击前后的广义速度之间的关系。

The method of piecewise Lyapunov function is extended into nonlinear system with time delay.

将分段Lyapunov函数法推广到时滞非线性系统控制中。

For the Riemann boundary value problems for the first order elliptic systems , we translates them to equivalent singular integral equations and proves the existence of the solution to the discussed problems under some assumptions by means of generalized analytic function theory , singular integral equation theory , contract principle or generaliezed contract principle ; For the Riemann-Hilbert boundary value problems for the first order elliptic systems , we proves the problems solvable under some assumptions by means of generalized analytic function theory , Cauchy integral formula , function theoretic approaches and fixed point theorem ; the boundary element method for the Riemann-Hilbert boundary value problems for the generalized analytic function , we obtains the boundary integral equations by means of the generalized Cauchy integral formula of the generalized analytic function , introducing Cauchy principal value integration , dispersing the boundary of the area , and we obtains the solution to the problems using the boundary conditions .

对于一阶椭圆型方程组的Riemann边值问题，是通过把它们转化为与原问题等价的奇异积分方程，利用广义解析函数理论、奇异积分方程理论、压缩原理或广义压缩原理，证明在某些假设条件下所讨论问题的解的存在性；对于一阶椭圆型方程组的Riemann-Hilbert边值问题，利用广义解析函数理论、Cauchy积分公式、函数论方法和不动点原理，证明在某些假设条件下所讨论问题的可解性；广义解析函数的Riemann-Hilbert边值问题的边界元方法是利用广义解析函数的广义Cauchy积分公式，引入Cauchy主值积分，通过对区域边界的离散化，得到边界积分方程，再利用边界条件得到问题的解。

We prove the equivalent conditions of completely monotone function, we also discuss the relationship of positive definite function, semi-positive definite function and completely monotone function when the function take values in a commutitive von Neumann algebras.

我们证明了完全单调函数的几个等价条件，并且讨论了取值于交换von Neumann代数的正定函数，半正定函数及完全单调函数之间的关系。

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。