查询词典 effectively computable function

It means that any computable object in Turing machine can be defined itera tively and computed efficiently with Pure logic.

这就等于证明了，任何图灵可计算的对象都可用纯逻辑迭代地定义和高效地计算。

To explain the computable of correlated noise attenuation by wavelet analysis; to give adaptive wavelet shrinkage algorithm on basis of threshold. We discuss three thresholds'choice; namely eigenvalue, unbiased risk estimator and hitograph method. We give comesponding experiments'analysis and comparison. It shows that our method is reliable.

阐述了小波分析去相关噪声的可行性；给出了基于阀值的自适应小波收缩法，讨论了三种阀值的选取；论述了特征值法，无偏的风险估计与直方图法，给出了相应的实验分析与比较，说明了该方法是可行的。

By using Critical Path Method of network planning technique as the tool,this paper studied the properties of float.Based on the above properties,the super-large type project network is simplified as an equivalent simple network,making the incomputable and complex problem a computable and easy one.What is particular is that the work load of computation of the simplified network is largely reduced whatever agrithorm is used.

本论文用关键路线法(Critical Path Method，简称为CPM)网络计划技术作为工具，在机动时间特性研究的基础上，把超大型工序网络化简为等效的简单网络，从而使不可计算的问题转化为可计算的问题，使很复杂的问题转化为比较简单的问题，尤其是利用化简后的网络求解时间-费用权衡问题，无论使用任何一种算法其计算量都会大大减小。

Though the decay of weighted wavelet coefficient is the same as the common wavelet, the computable complication is observably reduced.

表明了加权小波系数的衰减性与一般正交小波的系数衰减性相同，但计算复杂度更低。

Teachers are problem posers who orient their children toward constructing effective activity patterns that are computable with those traditional methods through phenomenological, psychological, sociological and anthropological problems. Teaching/learning environment are spontaneous constructions of children.

教学者是布题者，透过现象学的、心理学、塺会学的以及人类学的数学问题的提出，教师期望能促使儿童建构不仅有效，而且能与传统典范竞争效率的抽象解题运思。

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 decreasing conditions of an energy function are investigated by the use of convex function. By utilization of the primal convex function, the conditions are analyzed under which its conjugate function minus a quadratic function is also convex.

利用凸函数的定义研究了能量函数下降的条件，根据凸函数的性质分析它的共轭函数减去二次函数之差仍为凸函数的条件。

Fostering the concept of multi-culture firmly and mastering the development of advanced culture correctly are conductive to resisting terrorism, separatism of nationalities and ultraism of religion, which is of great academic theoretical, immediate and profound historical si...

牢固树立多元文化的理念和正确把握先进文化的发展方向，有助于在世界范围内自觉地抵制恐怖主义，民族分裂主义和宗教极端主义。不仅具有重大的学术理论意义，而且也具有重大的现实意义和深远的历史意义。

But if anyone walks in the night, he stumbles, because the light is not in him.

11：10 若在黑夜行走，就必碰跌，因为那光不在他里面。