函数

In this paper we introduce the hyperbolic cosine function and construct the new hyperbolic cosine penalty function and algorithms, further more, we construct the new hyperbolic cosine multipier penalty function .

本文在传统形式的罚函数基础上引入双曲余弦函数做罚项，构造了新的对于一般约束优化问题的双曲余弦罚函数和求解迭代公式；进一步地，又提出了求解具有等式约束优化问题的双曲罚函数乘子法。

Considering that the covariance function could not exist in some conditions, we put forward the idea of using the variogram function as a substitute for the covariance function and prove their equivalence.

考虑到在某些情况下协方差函数可能不存在，因此考虑用变异函数来代替协方差函数估计径向基核函数的宽度参数。

The paper studies the form of the result of SVM with covariance function as the kernel function under some conditions, and draws the conclusion that Kriging is equivalent to SVM under those conditions. Based on the conclusion, we put forward the idea of using the covariance function as a substitute for the RBF kernel function of SVM.

摘要研究了支持向量机(support vector machine，SVM)方法在一定假设条件下，核函数取为样本协方差函数时解的具体形式，得出了在该假设情况下SVM方法等价于克立格方法的结论，提出了用协方差函数作为SVM核函数的思想。

The inconsistencies of dimensional reduction and naive dimensional regularization in dealing withChern-Simons-matter theory are analyzed.The consistent dimensional regularization combiningwith higher covariant derivative regularization is adopted to consider Chern-Simons field theorycoupled to complex scalar and spinor field.All the local parts of one-loop two-point functionsand three-point functions are computed.Slavnov-Taylor identity is combined with these explicitcalculation results to give the one-loop local effective action.The finite gauge invariant quantumcorrection is shown and finite wave function renormalization constant for each field is defined.Thelocal part of one-loop three gauge field vertex is especially evaluated and it is verified that thereexists a renormalization choice compatible with BRST symmetry.

然后计算了所有的两点函数和三点函数单圈修正的定域部分，利用S-T恒等式给出了单圈定域有效作用量，定义了场的重正化常数，发现物质场和规范场都存在有限的规范不变的量子修正，并讨论了这些有限的规范不变的量子修正的物理意义，进而通过考察单圈三规范场顶角，表明存在与BRST对称性相容的重正化选择。5、在背景场方法的框架下，选择高阶协变导数正规化与维数正规化的杂化正规化方案计算了背景场两点函数的两圈量子修正，结果表明，标志紫外发散的极点项恰好抵消；进一步利用背景场方法中明显的规范对称性，证明背景场三点函数的两圈图贡献也是有限的。

Information of system auto and cross spectrum, auto and cross correlation. coherent function, signal to noise ratio, frequency response and impulse response was established to help the study and arrangement of the module components.

由力规及加速规两量测之时域讯号，经快速富利叶转换，计算其自频谱及互频谱，再经反富氏转换回时域之自相关及互相关函数、相通函数、讯噪比、频率响应函数、脉冲响应函数。

Closed form expressions of auto and cross correlation functions of the derivatives gaussian and derivatives novel pulses are also given.

推导了改进的阶Hermite脉冲函数和阶高斯脉冲函数的自相关函数和互相关函数并画出了它们的自相关特性曲线。

Probability density function, cumulative distribution function, survival function, hazard function, PP plot, and others.

概率密度函数，累积分布函数，生存函数，危险函数，聚丙烯阴谋，等等。

The research on the improvement for the convergent quality of"the Nodal Green's Function Method For Cylindrical Geometry on Neumann Boundary Condition Based on Green's Functions on slab geometry"is an original work.

在本论文中，"基于贝塞尔函数的第二类边界条件圆柱几何格林函数节块法"在中子扩散方程求解方法研究领域中是首创的，属创新成果；关于改善"基于平板几何格林函数的第二类边界条件圆柱几何格林函数节块法"的收敛性能的研究也属创新成果。

In the context of signal processing it is often referred to as the unit impulse function. Note that the Dirac delta is not strictly a function. While for many purposes it can be manipulated as such, formally it can be defined as a distribution that is also a measure .

在物理上，通常用于代表脉冲函数，或者呈点分布的物理量，例如质点、点电荷等；另外，delta函数常用于表示对物理量在某点的抽样，这一点不仅在数学物理方法这样的理论学科中常用，在实际的工程通信中也很常用，这时delta函数被用作采样函数。

The identity and difference in the expressional patterns between distribution functions of discrete random variables and distribution functions of continuous random variables are elaborated,and the main expressional patterns of distribution functions of continuous random variables are summarized,and the derivability of distribution functions of continuous random variables is discussed.

0引言在概率论中，连续型随机变量分布函数的表达形式及其可导性是一难点。其一，离散型随机变量的分布函数有较明显的性质和统一的表达形式，而连续型随机变量，由于其概率密度函数一般为分段函数，根据其分段区间的差异，表达形式差异较大，不容易总结其规律，本文主要比较连续型随机

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。