应用函数

Some nonexistence results for p-degenerate sub-elliptic first order evolution inequalities associated with the generalized Baouendi-Grushin vector fields are given. The method is an improvement of the admissible function method in Euclidean space. The proof hardly depends on the properties of the generalized Baouendi-Grushin vector fields.

通过改进欧氏的容许函数法，应用广义Baouendi-Grushin向量场的一些性质，选取特殊的容许函数，利用Hlder不等式和Young不等式，证明了由广义Baouendi-Grushin向量场构成的p-退化次椭圆一阶发展不等方程，在适当条件下非平凡弱解的不存在性。

Analytic function is the primary object of complex function theory, which has important properties and widespread applications.

解析函数是复变函数论研究的主要对象，它具有重要的性质和广泛应用。

This paper uses the property of Beta function and studies the origin moment of Markov chain first arrival target function.

应用贝塔函数的性质，研究马尔科夫链的首中目标函数的原点矩，对有关重要结果做了一些必要的改进，并给出了简单证明。

Consider the dependencies between the coefficients and their parents, a non-Gaussian bivariate distribution is given, and corresponding nonlinear threshold function is derived from the model using Bayesian estimation theory. According to non-subsampled Contourlet transform and bivariate threshold function, a novel Non-Subsampled Contourlet Transform based on Bivariate threshold function for image denoising is proposed. This scheme achieves enhanced estimation results for images that are corrupted with additive Gaussian noise over a wide range of noise variance.

该文依据非下采样Contourlet分解系数与其父系数之间的相关性，给出非高斯双变量分布，对该模型应用Bayes估值理论推导得到相应的非线性双变量阈值函数，综合非下采样Contourlet分解和双变量阈值函数，提出一种基于双变量阈值的非下采样Contourlet变换图像去噪方法。

Although, there has a progress in employing the lattice Boltzmann equation for fluid dynamics and modeling complex physics in fluids recently, there are some problems to be solved, such as the negativity of discrete local equilibrium or evolutionary distribution and the limitation of low Mach number.

尽管近年来在应用格子Boltzmann 方程对流体模拟和建模方面取得了重要进展，格子Boltzmann 方法仍有很多问题需要解决，例如离散的平衡态分布函数及分布函数的非负性问题、低Mach 数的限制问题。

The Bent function is very important in the construction of a high nonlinearity Boolean function which is applied in the design of the cipher system.

本文所研究的Bent函数，对于构造一类具有高非线性度的布尔函数在密码体制的应用具有重要意义。

This paper applies Particle Swarm Optimization algorithm in the cryptology area to design Boolean function in cryptography.

将粒子群(Particle Swarm Optimization，PSO)算法应用于密码学领域，设计密码学中的密码函数—布尔函数。

A modefied egg function has been proposed and used in a bounding surface model. This model has potential value of applicaton since it reflects better actual situation of soil mass under loading. That is: when a stress point is still within the yield surface, the unrccovered plastic deformation would occur as stresses change, and using closed smooth function makes stress modification in the FEM much easier.

文中提出了一个改进蛋形函数，并采用这个函数建立了边界面模型，该模型由于机理上更好地反映了土体受荷时的实际情况，即当应力点在屈服面内时，随着应力状态的改变，仍然可以产生不可恢复的塑性变形，而在计算功能上由于使用了封闭光滑的边界面，不存在角点问题使有限元程序计算显得很方便，从这两个方面看，该模型具有潜在的应用价值。

Catenary algorithm is regarded as a theory which is much close to the truth in cableway design. But it's very inconvenient for the application of engineering because it belongs to surpass function, especially in the past when the computer is unpopular.

在架空索道的设计中，悬链线理论是人们公认的最接近真实情况的设计理论，但是由于悬链线函数属超越函数，计算上的困难使其在工程应用中极为不便，尤其在计算机不甚普及的过去。

In fact, it complains if you call a function that could potentially sleep, even if the call in question would not sleep.

事实上，如果你所调用的函数有潜在的休眠可能，即使实际应用中该函数不会休眠，系统也会马上报警。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。