应用函数

In modern physics research, the calculus of variations has a broad application of law. As a solid mechanics, structural mechanics and computational mechanics of the theoretical foundation, it has important value in theory and practice on the mechanics; Variation method ruled out the perturbation of the restrictions can be widely used in many state-level and the state function in the calculation in the optical; Calculus of variations can be calculated with the parameters, we can guarantee the reliability of the results, can effectively reduce the workload of calculation, It can be said that the applications of calculus of variations are very broad.

在现代的物理学研究中，变分法有着广泛的应用：在力学上，变分法作为固体力学、结构力学及计算力学的理论基础，在理论上和实践上都有重要的价值；在光学上，变分法排除了微扰法的限制，可以广泛应用于诸多定态能级和态函数的计算中；在量子力学的应用中，具有可算出系统的参数，既可以保证计算结果的可靠性，又能有效地减少计算的工作量等的优点，可以说变分法的应用领域十分广阔。

Artificial neural networks has been widely used in pattern recognition, signal and information processing, adaptive controlment, and many other fields because of its self-organize ability, self-adapt ability, robustness and fault tolerance, and which are coming from its parallel processing structure and distribute information storage. But at the same time, they also bring some problems such as the difficulty of getting optimized topology structure and the great training time-consuming, which restrict its reality use.

人工神经网络的并行处理结构和分布式信息存储带来的自组织性、自适应性、鲁棒性和容错性，使得它们在实际应用中已表现出了强大的生命力，成为当今研究的热点之一，已经广泛的应用于模式识别、信号与信息处理、函数逼近、系统辨识和自适应控制的诸多领域，但同时带来了的最优拓扑结构难以确定，训练耗时巨大的问题，也限制了神经网络在实际中的应用。

Then it quotes a sufficient condition, the necessary conditions and necessary and sufficient conditions for integration, including the application of mathematical analysis, Real Variable Function-related content which is useful to sum up the necessary and sufficient conditions of the integrability.

然后引述了积分的充分条件、必要条件及充分必要条件，包括应用数学分析、实变函数相关内容总结的可积的充要条件，并作了翔实扼要的论述和证明，且给出针对性极强的应用例题，以便加深对可积条件的理解及加强应用能力。

The multivariate polynomial interpolation problem is a classical mathematical problem that is widely used in many fields, such as multivariate function list, surface design and finite element method. In recent years, multivariate polynomial interpolation has been focused by many people, of which the geometric topological struction of sets of interpolation nodes is also much concerned by us.

多元多项式插值问题是一个十分具有研究意义和实际应用价值的数学问题，它广泛应用于多元函数列表，以及曲面的外形设计和有限元法等诸多领域，近年来多元多项式插值越来越受到人们的广泛关注，其中有关插值结点组的几何拓扑结构问题也是人们十分关注的内容。1998年，梁学章和吕春梅在文献[2]中借助代数几何中的有关理论，进一步讨论了沿无重复分量平面代数曲线上的Lagrange插值问题，并应用Cayley ？

Laplace transform has broad application of space, Laplace transform the complex function addressed in practical applications are very important, LaPlace integral transformation in pure mathematics and applied mathematics are in a powerful tool.

拉普拉斯变换有着广阔的应用空间，拉普拉斯变换在复变函数论及实际应用中都很重要，拉普拉斯积分变换在纯数学以及应用数学中都是一个有力的工具。

This paper discusses some application cases of the error propagation law by the examples of trigonometrical survey, and presents that not only sum function and numeral multipling function in which there is only one independent observed value but also more complex functions which are equal in mathematics are not opposite in the process of error propagation according to the error propagation law.

1引言本文以三角测量为例，对误差传播定律一些应用问题进行了讨论，指出当只有一个独立的观测值时，和函数与倍数函数运用误差传播定律不会出现悖论；如果在测量工作中有多余的直接观测值，就需用平差后的间接观测值按协方差传播律来计算，这样数学中相等的函数关系才能得到同样的函

The equilibrium geometry,force constants and vibronic frequencies of the SiO2 molecule with linear structure have been optimized by using the Gaussian03 with B3P86/cc-PVTZ; The total internal partition sums were calculated for silicon dioxide with the product approximation. For rotational partition sums Qrot, the centrifugal distortion corrections are under consideration.

应用Gaussian03程序，在B3P86/cc-PVTZ水平上，对二氧化硅分子线性结构进行优化计算，得出其平衡几何构型、力常数和谐振频率等性质参数；采用乘积近似法构建模型计算了二氧化硅分子从20-6000K的总配分函数，其中转动配分函数考虑了离心扭曲修正，振动配分函数采用谐振子近似。

For meeting the needs of automated real-time dynamic monitoring of heavy fog events by means of a weather satellite remote-sensing technique for specialized meteorological services like military operations and highway traffic, the paper presents a systematic study of spectral characteristics of visible and infra red light, the textures and dynamic dispersals of fogs on satellite imagery in the context of theory on the transmission of atmospheric radiation, thereby revealing their abruptness, waviness and mass-like features, which, in combination with a synthetic technique for cloud/fog maps of multi-channel remote-sensing spectra are used to set up a model for automatic separation of fogs from clouds based on the integrative application of spectral features and texture structures, for which are constructed corresponding discfiminant functions and criteria, and on this basis prepared is a"system for remotely-sensing monitoring of low cloud and heavy fog"which has been used for tests, with the main conclusions shown as follows.

本文针对军事和高速公路等专业气象服务中应用气象卫星遥感技术对大雾进行自动化实时动态监测的实际需要，从大气辐射传输理论入手，系统地研究了气象卫星遥感图像上云雾的可见光和红外光谱特征、纹理结构特征和大雾的消散动态特征，揭示了雾的突发性、波动性和团状雾特性，通过研究多通道遥感光谱的云雾图像合成技术，建立了综合应用光谱特征和纹理结构特征的云雾自动分离模型，给出了相应的判别函数和判别准则，研制了&低云大雾遥感监测系统&，并进行了实际应用试验。

As the memory management functions self-offered by VxWorks which use first fit algorithm can not satisfy the demands of strict timeliness and efficiency of memory management in the communication applications of software, to solve the problem, a new realizing method of memory management was advanced for the software development platform based on VxWorks using two completely independent memory pool sets—one for process communication, and the other for the applications, with the platform directly managing the ...

因VxWorks自身提供的内存管理函数采用first-fit算法，不能满足通信应用领域软件对内存管理的高实时性和内存利用率的要求，为了解决该问题，基于VxWorks软件开发平台给出新的内存管理实现方法：采用两套完全独立的内存池集——进程通信内存池集和应用内存池集，平台直接管理内存，为整个系统提供高效的动态内存管理机制，使新定义的内存管理模块更适合通信产品应用领域的嵌入式软件开发。

We also study the Husimi distribution of the excited squeezed vacuum state.The theoretical calculation of Husimi function can help experimentalists to judge the quality of the experiment. We solve the problem of the density matrix for two interacting particles with kinetic coupling by using the bipartite entangled state representation.

作为纠缠Husimi算符理论的应用，我们计算并作图研究了单双模组合压缩态的Wigner函数和Husimi函数及其特性；计算并作图研究了激发压缩真空态的Husimi函数及其特性。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了