函数的积分

In chapter 1, we introduce the definitions of area integral S_β and invariant g-function on unit sphere, and study their boundedness on BMO and non-isotropic Lipschitz spaces.

共分三章，第一章引进了C~n单位球面上的面积积分和不变g函数，研究它们在BMO空间以及non-isotropic Lipschitz空间上的有界性问题。

In addition, when calculating the products of various terms of equations, this paper uses the principle that the integrated function of highest order term meets algebraic precision as the one of determining the number of integral points.

另外，在计算方程各项的内积时，本文以具有最高次项的被积函数满足代数精度为积分点数目的选取原则。

New ideas,methods and improvements are suggested, such as impulse time integral function, surface fit-ting, inverse method and selfrconsistency examination etc.

近年来，Lagrange分析方法得到迅速的发展，提出了不少新的思想、方法和改进，如冲量时间积分函数、曲面拟合，反解法和自治性检验等。

The Green functions of the vertical and horizontal force applied at interior of the saturated half space are established in the paper by using integral transform method.

应用积分变换方法得出了半空间饱和土内部作用垂直和水平载荷时的格林函数，为结构和饱和土动力相互作用的研究提供了工具。

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。

Ifandare continuous functions andis a smooth curve C which runs from a to b asvaries, then the corresponding line integral with respect to coordinate variables or line integral of the second type is expressed as follow

定义 设和是连续函数，是一光滑曲线，从a变到b，则对应的关于坐标的曲线积分或第二类曲线积分为

We studied the renormal-ization effect of the rotational constant. This is a complex many body problem, and cannot be solved with the conventional methods in molecular spectroscopy.

为此，我们采用路径积分的蒙特卡洛方法计算虚时关联函数，然后通过解析延拓的方法求得转动能级。

It describes the heteroskedasticity character of interest rate by projecting the sample data onto the EGARCH (1, 1) auxiliary model, makes making the covariance matrix as moment conditions and uses EMM to estimate the parameters. EMM avoids the disadvantage of infeasible or computationally intensive of maximum likelihood functions.

通过将观测数据映射成EGARCH(1， 1)辅助模型描述利率行为的异方差特征，以协方差矩阵为矩条件，用有效矩估计方法得出模型参数，避免了最大似然估计法似然函数不可知或难以求积分的缺陷。

The proposed procedure yields simple expression in terms of one dimensional integral for determining desired probability characteristics of the system response, such as moments and mean out-crossing rate.

应用本理论易得一维积分表达的系统响应的概率特性，如联合概率密度函数及稳定期望穿阈率。

Here, we will try our best to use the unit-speed outward normal flow to prove this result, and therefore to strengthen Gage's inequality as a more "" isoperimetric-type"" inequality. It will be the main task of the first part of the present thesis.

这是本文第一部分的主要任务，在这里我们还利用Minkowski支撑函数将Gage不等式叙述成一个积分不等式，这可以视为Gage不等式的分析形式。

I can not make it blossom and suits me

我不能让树为我开花

When temperatures are above approximately 80 °C discolouration of the raceways or rolling elements is a frequent feature.

当温度高于 80 °C 左右时，滚道或滚动元件褪色是很常见的特征。