强函数

After a power spectrum is constructed, empirical wavelet coefficients are used to detect the jump points in the function to obtain the strong consistent estimator of the position and number of the frequencies. Numerical simulations show this method is reliable.

根据它们的协方差函数可以表示为一个Fourier级数，而其Fourier系数可通过协方差函数的逆变换得到的特性，我们对于零均值的近周期相关序列构造了类似于周期图的函数，并构造其经验小波系数，利用频率处于此函数的尖点的特性，以及此性质在经验小波系数中的反映，来确定频率的个数和位置，所有的估计量都是强相合的，此外，数值模拟的结果表明，我们的方法是有效的。

For this method, integeral was proceed by triangular Gaussian quadrature method in polygon domain, which can reduce computational time greatly. Neighbor nodes database was create which can reduce neighbor nodes searching time. Rock and soil cutting problem are two complicated problems, so a robust method is needed to treat essential boundary condition.

岩土掘削数值分析要求无网格法拥有高效而适应性强(来源：ABC论文f1网www.abclunwen.com)的本质边界条件处理方法，本文提出一种新的处理方法，该方法通过改变边界节点权函数使试函数通过边界节点，并采用对角元素改1法满足本质边界条件，该方法灵活性强，适用于各种岩土掘削问题。

On the whole, we do as follows: Firstly, we list some conceptions and lemmas for later use. Secondly, we define δ-fine partitions for infinite interval and integral of vector-valued functions on infinite interval, and discuss the properties of integral, and characterize its primitives...

主要包括以下五部分内容：在第一部分中，我们介绍了本文所用到的基本概念和引理；在第二部分中，通过定义无穷区间上δ-精细的分法，我们给出了无穷区间上向量值函数的积分的定义，并讨论其性质，还给出了原函数的刻划；在本文的第三部分中，我们着重讨论了无穷区间上向量值函数积分的收敛定理；在本文的在第四部分中，我们首先应用无穷区间上向量值函数积分的收敛定理给出了常微分方程整体广义解的存在性定理，其次应用强积分对Banach空间常微分方程广义解进行了讨论；最后，在第五部分中，我们将模糊积分推广到无穷区间上并给出了其数值计算方法。

And the sufficient and necessary conditions of the monotone set function which is continuous of the empty set and the full set are given.

李军[6]引入了强序连续性概念，证明了单调测度空间上实值函数的Lebesgue定理成立的充要条件是单调集函数具有强序连续性。

A new method for estimating parameters is proposed due to the characteristics of artificial fish school algorithm such as overcoming the local optimal value and robustness. Firstly, the parameters of production function are constructed into the artificial fish and residual sum of squares is designed into the function of food consistence, secondly, the parameters of production function are estimated by the random behavior, preying behavior, swarming behavior and following behavior.

基于人工鱼群算法能够克服局部极值、鲁棒性强等特点，给出了一种生产函数中参数估计的通用新方法，该方法首先将生产函数模型中的参数构造成人工鱼模型，利用残差平方和设计食物浓度函数，然后通过人工鱼的随机、觅食、聚群、追尾等行为，对生产函数中的参数进行估计。

Using the method of analysis to study strong limit theorem proposed by professor Liu Wen, and a plying Legbesuge theoremon differentiability of monotone function, a new proof of the theorem of strong law of large numbers for the sequence of random variables of the product distribution of Poisson is forwarded.

利用文献[1]刘文教授提出的研究强极限的纯分析方法，通过构造适当的辅助函数，然后利用单调函数异数存在定理，给出具有乘积泊松分布的随机变量序列的一个强大数定理的新证明。

Calculated value of radial dose function, g, is in the rang of 0.1-10.0 cm at transverse axis. Anisotropy function, F, is calculated in 0°-90° of θ with increment of 10° and 0.5-9.0 cm of r with increment of 1 cm. Empiric equations are acquired for radial dose function and anisotropy function by curve fitting.

在源中垂轴0.1~10.0cm距离范围内计算径向剂量函数的数值，在角度0°~90°（10°间隔）、距离0.5~9.0cm（1cm间隔）范围内计算各向异性函数的数值，最后对径向剂量函数和各向异性函数进行拟合，得到实用性较强的经验公式。

When total economic values like total expenditure and total investments are set as independent variables, instead of those uncalculated production elements, the production function will be more suitable and more applicable for the explanation of our economic world.

尤其是第一层次的生产函数，直接用总消费，总投资等经济总量作为自变量，推导出自动满足一阶齐次等条件的生产函数，代替难以计量的生产要素构造的生产函数，就使得函数的适用性更广，解释力更强。

The hologram was obtained by convoluting the FZP intensity-distribution function with the object intensity-distribution function without mechanical motion.

物体的全息图是FZP投影光强分布函数与物体的光强分布函数的卷积，无需机械运动便得到物体的扫描全息图。

The scanning hologram of an object is the convolution of the transmittance of the object with the intensity distribution of the Fresnel zone plate and the reconstruction of the hologram is obtained by correlation operation.

该技术通过将物体的光强分布函数与菲涅耳波带板的光强分布函数进行卷积运算来得到物体的扫描全息图，通过相关解卷积的方法来进行扫描全息图的数字重建。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。