应用函数

Firstly, we test that the error data are not normal distribution, and even the expectation is not zero. Then we analyze the possible type distribution of these error data. Finally, we use the stepwise method to fit the error data and obtain a function for some parameters of the SAIL model. As prior knowledge, the fitting function will be used to inverse these parameters ofthe SAIL model soon.

首先检验了误差数据不服从正态分布，甚至均值不为零；然后对误差数据可能服从的分布类型给予了解析，得到了指数分布和混合正态分布两种不同类型的可能分布；最后拟合了误差关于SAIL模型部分参数的函数表达式，以作为先验知识应用于反演之中。

By using partial coherence function and correlation analysis, the input contribution to output for multi-input and output liner system is quanticative and qualitative discriminated when the input is correlation cases. The conclusion is extended into automobile ride comfort.

利用偏相干函数和相关分析，针对线性常系数多输入输出系统，研究了在相关输入条件下，识别输入对输出贡献大小的计算方法，并将结论应用到汽车的平顺性分析中。

This method first maps training data into a high dimensional feature space through kernel function concept in Support Vector Machine and constructs orthogonal space in the feature space. Then it maps the data from feature space into the orthogonal space and computes Fisher criterion based global orthogonal discriminants.

首先应用支持向量机中核函数的概念，将样本隐式地映射到特征空间，然后构造特征空间的正交空间，再将特征空间样本映射到特征空间的正交空间，求解基于Fisher的全局正交鉴别矢量集。

Definition of rolled homogeneous armor equivalences for the ability of advanced armor defending kinetic energy projectiles was brought forward.

该文阐述了先进装甲对动能弹防护能力在极限穿透速度和剩余穿深准则下的等效靶定义，结合实例分析了建立等效靶的影响因素，分别分析了基准函数的选取、等效准则、弹丸的材料形状及弹丸速度等因素的影响，阐述了等效靶在实际应用中应注意的问题。

However, some problems of it, such as the expenditure problems in training SVM, the SVM's generalization function, the selection of the kernel function etal, have not been well resolved in the long run.

但是，支持向量机的训练费用、泛化性能以及核函数的选择等关键问题，长期以来都没有得到彻底的解决，这使得支持向量机的理论优越性没能够在更广泛的实际应用中凸现出来。

In order to obtain infrared spectral radiance distribution of some infrared sources, such as spectral radiant flux density, spectral radiant intensity, spectral radiance and spectral irradiance, the instrument response function under different conditions must be known.

在应用红外发射光谱来获得某些红外源的绝对光谱能量数据，如辐射源光谱辐射通量密度、辐射源光谱辐射强度、辐射源光谱辐射亮度及光谱辐射照度等时，需要得知不同条件下的仪器响应函数。

On the basis of the concept of perfect quantum gas, a physical model of extreme relativity is established for perfect quantum gas, and also according to the conclusions of the state density of the extreme theory of relativity, the densities of quantum statistics′ particle numbers and energy, the extreme relativity′s result of the enthalpy、internal energy and heat capacity of the perfect quantum gas is obtained under the high temperature by strict theory inference.

在理想量子气体概念的基础上，首先建立极端相对论理想量子气体的物理模型；再根据极端相对论的态密度和量子统计的粒子数、能量的密度结论，通过严格的理论推导，得出理想量子气体在高温条件下的极端相对论性的焓、内能和热容量的结果，并将其热容量与高温条件下的理想量子气体、经典理想气体的热容量对比，指出极端相对论与非相对论两种模型、理想量子气体与经典理想气体两种模型的热容量之间的差异，同时分析这些差异的物理原因在于各自气体模型的态密度以及对应体系的波函数的对称性；最后阐明高温条件下极端相对论理想量子气体的热容量在量子统计方面的先进性及应用前景。

Finally it clarifies the advance in quantum statistics and the practical prospect of heat capacity of the extreme relativity's perfect quantum gas under high tamperature.

摘 要：在理想量子气体概念的基础上，首先建立极端相对论理想量子气体的物理模型；再根据极端相对论的态密度和量子统计的粒子数、能量的密度结论，通过严格的理论推导，得出理想量子气体在高温条件下的极端相对论性的焓、内能和热容量的结果，并将其热容量与高温条件下的理想量子气体、经典理想气体的热容量对比，指出极端相对论与非相对论两种模型、理想量子气体与经典理想气体两种模型的热容量之间的差异，同时分析这些差异的物理原因在于各自气体模型的态密度以及对应体系的波函数的对称性；最后阐明高温条件下极端相对论理想量子气体的热容量在量子统计方面的先进性及应用前景。

The comparative experimental results show that the proposed algorithm is able to traverse all the extrema of multimodal function adaptively and efficiently,and to be applied in searching local and global multiple optimal solutions for the benchmark test function.

实验结果表明：算法能够自适应、更高效准确地遍历多峰函数的所有极值，可应用于求解局部最优和全局最优问题。

The study of direct and inverse theorems on the approximation of linear operators to functions in normed linear spaces is an important subject in the approximation theory.

线性算子对赋范线性空间中函数逼近正逆定理的研究是逼近论中重要的研究课题之一，在理论和实际应用上都具有重要的意义。

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。