极值函数

The unsaturated and compacted soil triaxial test result under constant suction describes the unsaturated soil critical state surface in p-q-s three dimensional space: in p - q plane, the slope M of critical state line is independent of suction; the cross line of LC yield surface and critical state surface is a curve with extremum in three dimensional stress space, and its projection in p-s plane is located in quadrant 1 in triaxial compression state; its projection in q-s plane has asymptote, and there should also be asymptote in respect of the curve that stands for the function relationship between cohesive and suction.

基于局部变形测量的常吸力非饱和压实土三轴剪切试验结果，全面描述了非饱和土p—g—s三维应力空间中临界状态面的合理形态：在p—q平面，临界状态线斜率M是与吸力无关的物理量；临界状态面与LC屈服面交线在三维应力空间中是一条存在极值的曲线；该交线在p—s平面的投影曲线在三轴压缩应力状态下应位于第一象限；该交线在q—s平面的投影曲线应存在渐近线；反映凝聚力与吸力关系的函数曲线也应存在渐近线。

This article is focused on the use of Mathematica graphics functions to perform some abstract concept of mathematical analysis, the conclusion of the understanding; auxiliary function for the extreme value; and its application in the series.

本文主要讨论的是利用Mathematica的绘图功能来演绎数学分析中某些抽象的概念、结论的理解；辅助求函数的极值；和它在级数中的应用。

Concerning the disadvantage of the original PSO that is easily trapped in the local optimization and the convergence speed is slow in the evolution later, a particle swarm collaborative optimization algorithm based on velocity angle was proposed. The strategy of inertia weight adjustment was adopted based on cumulative distribution function of Gaussian distribution.

针对PSO存在易陷入局部极值、进化后期收敛速度缓慢的缺点，提出一种基于速度夹角的粒子群协同优化算法，并且引入了一种基于高斯分布的累积分布函数的惯性权重调整策略。

The probability density function of climate has a long tail, which can reflect the probability of extreme weather and climate.

气候距平的概率密度分布函数有较长的尾巴，较长的尾巴反映了极值气候所发生的频率。

Theorem 1 If is differentiable at, and is a local extreme value of, then.

定理1 设函数在处可导，且在处取得极值，那么。

Multivariate Function Differential Calculus is widely used, so are the limits of conditions in optimization problems.

多元函数微分学有着极其广泛的应用，其中条件极值在最优化问题中经常用到。

The caloric functions and parabolic maximal principle s in upper spaces are studied.

研究上半空间的热函数及其抛物极值原理，证明了在边界上为 0的热函数恒等于 0 。

After that, analytically using the Taylor formula, it reduces the expansion to one-variable function and makes a specific discussion.

在判别法失效的情况下，从几何方面引入了判别二元函数极值的一些必要条件，然后在分析方面利用Taylor公式，将展式化为一元函数，进行了比较细致的讨论。

Based on the actual conditions of the 5342 fully mechanized caving face of Wulan Coal Mine, the 3-D distribution of gas in the face is tested by measuring points arrangement in the stereo grid. The isograms of gas distribution of the face are drawn. Gas concentration nadir distribution curve along the working face incline direction is drawn by method of seeking function minimum points. The method of calculating gas emission components ratio of the face by means of the curve is brought forward.

针对乌兰煤矿5342综放工作面的实际条件，采用立体网格状的测点布置，对该工作面瓦斯体积分数三维分布进行了测定，绘出了瓦斯分布等值线图，采用求函数极值点的方法，得出了工作面沿倾向瓦斯体积分数最低点分布曲线，提出了基于瓦斯体积分数最低点分布函数的瓦斯涌出分量比例计算方法。

Copula-EVT model is an exploration to risk management using multivariate estreme thory. Copula is a function which links the multivariate distributions to given marginals.

Copula-EVT模型是对利用多维极值理论研究金融风险的一种探讨，Copula函数是把多个随机变量的联合分布与它们各自的边缘分布相连接的一个函数。

Since historical times,England ,where the early inhabitants were Celts, has been conquered three times .

从有历史以来，英国，在此地早期居住的是凯尔特人，已经被征服了三次。

Bluetooth OBEX File Transfer Enables the sending and receiving of files on your phone via Bluetooth.

蓝牙OBEX文件移动允许经过蓝牙传送和接受文件。。。。