查询词典 approximate differentiability

Vieille has shown that all two-person stochastic games with finite state and action spaces have approximate Nash equilibria when the total payoff is the limit inferior of the averages of the stage payoffs.

Vieille已经证明具有有限阶段和有限状态的两人随机博弈当中，如果博弈过程的报酬使用各个阶段报酬平均值的下限来计算的话，是具有逼近纳什均衡的。

Secondly, the interphase layer is homogenized as a micropolar material model, and the analytical expressions for the local stress and couple stress and their corresponding average are derived for a coated fiber embedded in an infinite matrix under remote classical loading. This exact relation is compared with that determined through an approximate average equivalent inclusion method , and results show that the AEIM has good accuracy to be applied to evaluate the effective property.

就有效性质而言，对于所考察的硬界面复合材料来说均匀界面层的估计要高于非均匀界面层，但两者相差不大；对局部应力分布的预测，均匀界面层与非均匀界面层有较大差别，这说明对于与局部应力密切相关的损伤现象的预测，考虑非均匀界面层是十分必要的。

Using the infinite product of unevenly distributed probability space with potential of 3, the concept of formula truth degree was introduced into the Gdel 3-valued propositional logic system. Moreover, it was proved that in the 3-value (1/4, 1/2, 1/4), measure the set of truth of degree of propositions was dense in [0, 1], and a general expression of truth degree was obtained, providing a basis for further developing approximate reasoning of 3-valued propositional logic system.

利用势为3的非均匀概率空间的无穷乘积，在Gdel三值命题逻辑系统中引入公式的真度概念，在三值逻辑(四分之一，二分之一，四分之一)测度下证明G3中全体公式的真度值之集在[0， 1]上是稠密的，并给出公式真度的表达通式，为进一步在三值命题逻辑系统中展开近似推理奠定基础。

An inhomogeneous Benjamin-Davis-Ono-Burgers equation including topographic forcing and turbulent dissipation is derived in terms of the quasi-geostrophic vorticity equation, an approximate analytic solution of the BDO-Burgers equation with a small dissipation is obtained, the time variations of mass and energy of the algebraic solitary waves are discussed, and finally, the forced BDO-Burgers equation is integrated numerically and the numerical solutions are given for a given basic flow with a weak shear and a localized topographic forcing.

利用包括地形外源和湍流耗散的准地转涡度方程导出了包含强迫项和湍流耗散项的非齐次强迫BDO-Burgers方程，求出了小耗散存在情况下BDO-Burgers方程的近似解析解，讨论了代数孤立波的质量和能量的守恒关系，最后，对给定的弱切变基本气流和局地地形强迫，数值积分强迫BDO-Burgers方程，求得了不同参数下的数值解。

There were no significant differences in the relative consumption rate and approximate digestibility between the 6 instar larvae reared with two tobacco species.

26龄幼虫对两种烟草的相对取食量和近似消化率无显著差异，但是对黄花烟草的利用率、转化率及其相对生长率显著下降。

Bootstrapping method is such a method that resolves ambiguity integer solution without searching. It is a approximate algorithm of LAMBDA method too.

Bootstrapping 方法是一种不必搜索的模糊度整数解的求解方法，是 LAMBDA 方法的一种近似算法。

Firstly, Wavelet-Galerkin algorithm for solving the first kind of singular integral equation with the Hilbert kernel is proposed, we use the characteristic of periodic wavelet on L~2([0,1]) and Hilbert kernel to solve and make stiff matrix lower dimensions and become sparser through thresholding,thus the cost of computation is reduced. Because of the singularity of Hilbert kernel we use Tikhonov regularization method to solve the system of stiff equation. At last the convergence and numerical result of approximate solution are given. Secondly, an approach of regularization based on Fourier is presented for sideways heat equation; we give the theory proof and error estimate.

首先，提出了含Hilbert核的第一类奇异积分方程的小波伽辽金(Wavelet-Galerkin)数值算法，该算法中利用了L~2([0，1])上的周期小波和Hilbert核的特点进行处理，使得刚性矩阵维数降低并且通过阈值使得它更加稀疏，减少了计算量；由于Hilbert核的奇异性，通过Tikhonov正则化方法求解所得到的刚性方程组，给出了收敛性和数值结果；其次，对标准的一维逆热传导方程给出了一种基于Fourier正则化方法，给出了理论证明及其误差估计，解决了文献中算法与理论误差估计的不相匹配的现象，该正则化方法不仅保留了测量数据的部分高频成份，且与文献中的算法具有同样的计算量和误差估计。

Interlanguage is the approximate language system that the learner constructs for use in communication through the target language.

中介是近似的语言系统，学习者建构用于通信通过目标语言。

Secondly, in view of the identification problem after the change of MRAPC structure, the research has been extended to a kind of continuous system with time delay, and the robust convergence analysis for this model reference adaptive identification algorithm has been given. Using the intermediate value theorem in this analysis, the approximate problem in original analysis has been solved partly.

2针对MRAPC算法结构改变后产生的自适应辨识问题，考虑一种更一般的具有实零极点的时滞连续系统的模型参考自适应辨识算法，作者分析了该算法的鲁棒收敛性，在运用微分中值定理的基础上，解决了原有的收敛性分析中存在的近似问题。

In this paper, a new method is presented to interpolate and approximate the moving frames of moving object by employing B splines.

该文提出一种采用 B样条曲线插值与逼近运动物体活动标架的新方法。

"Second Life is remarkably easy to work with, and is very popular,"

"第二次生命是显着容易的工作，并且很受欢迎，"

For example, we usually assume that materials are homogeneous and isotropic and free of internal defects or flaws.

为了得到适合有限元分析的模型，我们必须经过如图2所示的简化步骤。