查询词典 piecewise monotonic function

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。

Properties of efficient portfolios and the efficient frontier to the model are systematically analyzed. Our main results concerning the properties are: every efficient portfolio can be solved by minimizing portfolio risk under a given level of portfolio return or by maximizing portfolio return under a given level of portfolio risk; on the efficient frontier, the risk is a convex and strictly increasing function of the return and the return is a concave and strictly increasing function of the risk; the utility function on the efficient frontier can be expressed as a quasi-concave function of the risk or the return if the investor's utility function is quasi-concave.

从理论上系统地对该模型下的有效投资组合和有效前沿的性质进行了分析，结果表明：每一个有效投资组合可通过在给定期望收益水平的条件下最小化投资组合风险来获得，或者在给定风险水平的条件下最大化期望投资组合收益来获得；在有效前沿上，风险是收益的严格单调递增凸函数，收益是风险的严格单调递增凹函数；当投资者的效用函数是拟凹函数时，则有效前沿上的效用可表达成风险或收益的拟凹函数。

The convex function develeped so many years that convex functionals are now a class of very universal functionals.The kinetic energy in the classical is the most natural convex function.Others like entropy and so on are convex functions.The economic core is closely connected with the convex function.The western economic core question is the optimized question.The optimized theory has something to do with the convex function and the concave function.

凸函数的发展经年已相当完善其应用非常广泛，在古典力学中的动能，就是最自然直接的凸函数，其他如熵……等均是，连经济学的核心都与之有极密切相关，西方经济学的核心问题是最优化问题，最优化理论又与凸函数与凹函数密切相关。

The second is to cut a mere 100 calories from your diet , which is the equivalent of a tablespoon of butter.

第二个就是从你的饮食中减少一百卡路里，只是相当于一大汤匙的黄油。

This is where the Rorschach test comes in.

现在，罗氏测试就出现了。