强函数

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。

Sets as its aim to obtain an integral representation of the holomorphic functions on the analytic subvariety of strict pseudoconvex polyhedron in space C n.

通过在Cn空间中强拟凸多面体域的复补维数为m（1≤m＜n）的子流形上构造积分核，得到该复子流上的全纯函数的积分表示公式。

The correlative coefficients of linear regression function for isochronous stress-strain curve are all higher than 0.92, and the ratio of long-term strength to instantaneous strength reaches 94.39%, which indicate that the whole creep of fine sandstone specimen is weak.

应力－应变等时曲线线性回归函数的相关系数均高于0.92，长期强度与瞬时强度之比达94.39%，证明细砂岩试样的整体蠕变特性不强。

In this paper, we start with a new formulation which is proposed based on the K-SVCR method. We then transform it as a complementarity problem and further a strongly convex unconstrained optimization problem by using the implicit Lagrangian function.

在本文中，我们首先在K-SVCR方法的基础上提出了新的模型，然后把新模型转化成一个互补问题，并利用Lagrangian隐函数进一步转化成一个强凸的无约束优化问题。

The strong law of large numbers for functions of one variable of missing data of nonhomogeneous Markov chains is studied.

为研究非齐次马氏链缺失数据一元函数的强大数定律。

The maxima of low-temperature internal friction peaks plot a symmetrical peak-like curve at logarithmic frequency spectrum and the peak-like curve shifts toward high frequencies with the increase of heating rate, indicating that phase transition relaxation time decreases; the maxima of high-temperature internal friction peaks exhibit a linear relation to the reciprocal frequencies, and as the heating rate increases its slope rises, which implies that the heating rate drives the normal movement of phase interface further in low-frequency measurements.

低温内耗峰峰值与对数频率呈现峰形函数关系，随升温速率的增加，频率峰向高频方向移动，相变弛豫时间减小；高温内耗峰峰值与倒数频率成直线关系，随升温速率的增加，直线斜率变大，表明低频测量时升温速率对相界面法向运动的驱动作用更强。

From the perspective of matter wave in quantum mechanics, this paper, by describing the wave function of microcosmic particle and using probability wave, derives the distributive regularity of light intensity of the single slit diffraction and circular aperture diffraction.

光具有波粒二象性，从量子力学的物质波出发，利用描述微观粒子的波函数，采用几率波的方法，导出光的单缝衍射和圆孔衍射的光强分布规律，所得结果与波动光学中用惠更新－菲涅耳原理得到的结果一致。

In this paper, the theory, algorithm, and experiment of automatic object detection and tracking are studied in depth. It is firstly pointed out that the essential of Mean Shift method is a special Newton-Gaussian method. A new method named Fast Mean Shift is established to stretch the conservative step of Mean Shift method. The convergence and validity of this new method are proved in theory. And it is also proved that the convergence speed of Fast Mean Shift is faster than that of Mean Shift. The contrast experiments of searching the maximum possibility density of random of data sets in plane and 3D space are done. The results show that this new method can reduce the iterations greatly. A new object tracking method based on Fast Mean Shift is built to improve the object tracking performance, which is shown in the face tracking experiment with the tennis sequence provided by the Ohio State University, and the car tracking experiment with the car sequence provided by Kalsruhe University. The face trcking experiment with highly noised images show that the object tracking method based on Fast Mean Shift has strong anti-jamming ability. A new fast color object detection technology based on characteristic color is established, which use characteristic color distribution to compute the characteristic color vector of any area in an image quickly. With the high performance search method, the fast object detection is achieved. At last, using object tracker based on Fast Mean Shift and color object detector based on characteristic color with the Kalman filter, PID controller, searial communication and other technologies, automatic object detection and tracking system with control system is built. The availability and anti-jamming ability of this system are verified by some object detection and tracking tests in different scenes.

本文对目标自动识别与跟踪进行了理论、计算、试验三方面的深入研究，主要包括：首次指出了目标跟踪技术中常用的均值迁移方法的本质为一种特殊的高斯-牛顿方法，改进了均值迁移方法步长取值保守的弱点，建立了快速均值迁移方法，证明了该方法的收敛性、有效性以及收敛速度优于均值迁移方法；进行了平面和3维随机分布数据集的最大概率密度搜索对比试验，试验结果表明，快速均值迁移方法大大减少了迭代次数；建立了基于快速均值迁移的目标跟踪方法，利用俄亥俄州立大学提供的乒乓球序列图像和卡斯鲁厄大学的汽车序列图像，对人脸和汽车目标跟踪性能分别进行了对比试验，并进行了高噪声人脸图像目标跟踪试验，结果表明，基于快速均值迁移的目标跟踪方法有效提高了目标跟踪性能，具有很强的抗干扰能力；建立了一种新型彩色目标自动识别方法，采用特征色彩分布函数实现了对任意图像区域特征色彩矢量的快速计算，建立了高效的搜索方法，实现了彩色目标的快速识别；将基于快速均值迁移方法的目标跟踪方法、基于特征色彩的目标识别方法与卡尔曼滤波、PID控制、串行通讯等技术结合，建立了带有控制系统的快速目标自动识别与跟踪系统，并在不同场景下进行了目标自动识别与跟踪试验，验证了快速目标自动识别与跟踪系统的有效性和抗干扰能力。

Then we design a good modularized program. For the flow on variant stream surface, we only need to input the corresponding parameters and functions.

此后编制了模块化结构较好的程序，对于不同流面上的流动问题只需输入流面上的有关参数以及相应的函数即可进行计算，因此程序具有较强的通用性和实用性。

In the proof,the tools of the conditional moment generating function and the differentiation on a net for the study on strong limit theorems in the random selection system are applied.

在证明中采用了一种把网微分法与条件矩母函数相结合应用于随机选择系统强极限定理研究的一种途径。

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。