函数的最小

In this case, the amplitude is the difference between the minimum and maximum values the function could have.

在这种情况下，振幅是这个函数的最大值与最小值的差值。

Numerical examples are studied to demonstrate the accuracy of the proposed method and to investigate the distribution of the optimal stiffness of the elastic restraints, the deformation of the elastic restraints and deflection of the stiffened plate for stiffened plate with different number of stiffeners, different cross section of stiffeners and different thickness of plate.

本研究利用牛顿法提出一个数值程序以求得使目标函数有最小值且满足拘束条件的弹性支承刚度，即求得最佳化的弹性支承刚度。本研究以数值例题探讨不同加劲板之最佳化的弹性支承刚度，弹性支承变形的分布及加劲板的最大挠度。

In this paper, we give a generic condition of differentiable function s on noncompact complete Rie- mannian manifold.

本文给出了比文［4］更好的非紧完备黎曼流形上可微函数的最大值与最小值原理的一般性条件。

In operations research, a procedure for locating the maximum or minimum of a linear function of variables that are subject to linear constraints

在运筹学中，找出受线性约束的变量的线性函数的最大值或最小值的过程。

Research, a procedure for locating the maximum or minimum of a linear function of variables that are subject to linear constraints.

在运筹学中，找出受线性约束的变量的线性函数的最大值或最小值的过程。

The algorithm has following properties: Although the merit function has the form of least squares of a system of overdetermined equations, in the Newton equation of our algorithm, only the coefficient matrix of the system of overdetermined equations is used instead of its product as in Guass-Newton method for solving the least squares problems. That is, our Newton method is more like that for the system of nonlinear equations rather than that for LSPs. The global convergence is obtained for VLCP with vertical block P_0 + R_0 matrix; The local quadratic convergence rate is proved under the condition that the solution is BD-regular; Although there is only a Newton equation in our algorithm, the finite convergence property can be shown if matrix is vertical block P— matrix (without the hypotheses of strict complementarity).

该算法具有下列特点：所构造的价值函数虽然具有超定方程组的最小二乘问题的形式，但在基此建立的Newton算法中，其Newton方程的形式更象非线性方程组的Newton法中的Newton方程，仅利用了超定方程组的系数矩阵本身的信息，避免了一般最小二乘问题的Guass-Newton法中必须计算系数矩阵的乘积的工作量；对竖块P_0+R_0矩阵的垂直线性互补问题，算法具有全局收敛性；在解是BD-正则条件下，证明了算法的局部二次收敛性；虽然算法只含一个Newton方程，但对竖块P-矩阵垂直线性互补问题，算法具有有限步收敛性。

Automatic threshold choice is difficult and important to color images edge detection, First of all, on the base of human visual properties, threshold versus intensity function of human visual system are researched and analyzed, by using method of mathematic modeling and the result of saturation research, function of least color difference that can be perceptible by visual systems in detecting edge is given.

摘要自动阀值选取是彩色图像边缘检测的难点和关键问题，首先从人类的视觉特性出发，分析了人类视觉系统的亮度感知门限函数，利用数学建模方法和色度学方面的研究成果，给出人类视觉系统对彩色图像边缘所能识别的最小彩色差函数。

Call Ceil to obtain the lowest integer greater than or equal to X. The absolute value of X must be less than MaxInt.

调用ceil函数，返回大于或等于x的最小整数值。X的绝对值一定要小于最大整数值。

For 2p〓-periodic binary sequences, a new weight function, according to the above presented vector expression of the linear complexity, is defined. By analyzing the weight of the product of a special kind polynomial in finite field, the upper and lower bounds on minimum error, expressed by the here denned weight of the linear complexity, are given in different cases.

对于2p〓-周期二元序列，利用所给出的线性复杂度的向量表示定义了一种新的重量函数，通过研究有限域上一类特殊多项式乘积的重量，分情况给出了用线性复杂度的重量表示的最小错误minerror的上界和下界，这里的重量是由我们所定义的重量函数确定的。

There are, however, no wide-accepted molecular parameters taken as a reference and no precise γ and A_D obtained simultaneously so far.

本论文报道我们获得的自然丰度下N~(16)O的中红外LMR光谱，并采用最新的联系各同位素分子参数的标度函数将所有已发表的光谱数据和我们测量的实验数据实现统一的标识分析，通过对所有数据的完整一体的最小二乘拟合，得到了迄今为止最完备、最精确的~mN~nO(m=14，15；n=16，17，18)系列分子的结构参数，这些参数的精度与文献结果相比提高了1-2个量级，其中许多参数都是首次获得的。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。