查询词典 arc hyperbolic function

Tree's volume; biomass; nonlinear least-squares regression; power function model; hyperbolic function model

材积；生物量；非线性最小二乘回归；幂函数模型；双曲函数模型

The function between stable flow stress and strain rate, temperature can be expressed more suitably by the Arrhenius relationship modified by hyperbolic sine function, which means that the hot compression deformation is controlled by thermal-activation.

双曲正弦函数形式修正的Arrhenius关系可以更好地描述稳态流变应力和应变速率、变形温度的关系，表明该材料的热压缩变形是受热激活控制的。

On the basis of variation characteristics of ship speed error model, a ship speed regulator using the on-line adaptive error model is proposed in this paper. The control scheme is based on back propagation multi-layer perceptrons adaptive neural network in which a modified hyperbolic tangent function is used as the activation function of an auto-tuning neuron and is updated by the steepest descent method.

在分析船舶航速误差模型变化特性的基础上，应用激励函数的自适应神经网络和最陡下降法的非线性优化技术，提出了自适应学习误差模型控制方法，应用于船舶柴油机调速器控制系统。

To overcome the false result with piecewise constant regions produced by the binary zero-crossing decision process, a hyperbolic tangent function is used to substitute the symbol function, governing softly the varieties of gray levels of pixels beside the zero-crossing of edges.

为了克服二值的零交叉决策过程导致的虚假的分片常数图像，利用双曲正切函数代替符号函数，柔和地控制边缘的零交叉点两侧像素的灰度值变化。

Because the weights are determined by the correlation of code sequence and estimation error of channels, which can be nearly determined by system load factor, we determine the sub-optimum weights by system load factor through simulations, and substitute the hard-decision symbol function by soft-decision hyperbolic tangent function to decrease the risk of error decision.

由于加权因子取决于前级符号估计的可靠性。也就是取决于扩频码互相关系数与信道估计精度，在随机扩频系统中，估计精度可近似由系统负荷决定，因此可根据系统负荷决定加权因子，以很小的性能降低代价换取计算量的极大降低。同时，为进一步降低误判风险，使用带有斜率控制因子的双曲正切函数代替常规的符号函数。

The results show that the modified GM (1, 1) has the most satisfactory accuracy, while power function model and exponent function model are moderate in accuracy and hyperbolic model is relatively worse than the aforementioned ones.

结果表明，修正的GM(1， 1)模型模拟的荷载－位移曲线精度最高，幂函数模型和指数函数模型次之，双曲线模型相对较差。

On the basis of the achieved result and the effect of stress such as minor principal stress, intermediate principal stress, hydrostatic pressure, stress Lode degree, a generalized hyperbolic failure function adapted naturally with the envelope form of Mohr-Coulomb criterion is proposed for brittle rocks; and a smooth failure function acquired by Yu Maohong is also presented. Thus, a generalized polyaxial strain energy strength criterion is created.

在分析脆性岩石强度的静水压力、中间主应力、最小主应力以及应力Lode角等4种效应的基础上，提出子午面上与Mohr-Coulomb准则包络线自然衔接的广义双曲线型破坏函数及八面体偏平面上光滑角隅型破坏函数，从而建立非线性广义多轴应变能强度准则。

By means of the undetermined coefficient method ,which is submitted in reference for solving nonlinear wave equations for their peaked soliton solutions ,three kinds of peaked soliton solutions are obtained for two important nonlinear wave equations— Korteweg-de Vries equation and Benjamin-Bona-Mahonyequation,respectively. One kind of peaked compacton solution ,which has the characteristics of both peaked soliton solution and compacton solution ,is obtained for above two equations with the aid of transformation relation between triangle function and hyperbolic function,. By use of above solutions, two kinds of periodic peaked traveling wave solutions are constructed.

摘 要：利用文献中提出的求非线性波方程尖峰孤子解的方法，分别求解了两个重要的非线性波方程—Korteweg-de Vries 方程和Benjamin-Bona-Mahony BBM）方程，得到了3类尖峰孤子解；借助双曲函数与三角函数间的变换关系得到了1类尖峰紧孤子解，该型解兼有尖峰孤子解和紧孤子解的特点；在上述结果的基础上构造了2个周期性的尖峰行波解。

When the modulus m approaches to 1 or 0, then the hyperbolic function solutions (including the solitary wave solutions) and trigonometrical function solutions are also given.

在极限情形，我们也得到所考虑方程的孤立波解和三角函数解。

PSO algorithm and the function of the inertia weight are described. Using the characteristic of the tangent function and the arc tangent function for reference, two new strategies are produced.

首先分析了PSO算法惯性权重的作用，并借鉴正切和反正切函数的变化规律，提出了两种新的惯性权重改进策略。

Many will continue to choose to live in duality and in conflict.

许多人将继续选择活在二元对立性和冲突中。

I find that students of the University of Physical Education all wear sportswear at first sight.

我发现：体育大学的学生乍一看，都是穿运动衣，大家都一样