查询词典 piecewise differentiable function

Combining the definition of CWT and the derivative property of convolution, we constructed a general method to calculate the approximate derivative of signal through CWT by using the first and second derivative of Gaussian function, Haar, and the first derivative of three-order-Spline function as wavelets. As compared with the other approaches of calculating derivative, which include the numerical differentiation, polynomial filters, Fourier transform, and the recently proposed DWT method, fast calculation and simple mathematical operation were remarkable advantages of CWT method. For the signal corrupted by severe noise (Signal-toNoise Ratio=5), the satisfactory results could also obtained via CWT method through appropriately adiusting the dilations.

在此基础上，(1)结合连续小波变换的特点和卷积的微分性质，提出了使用Gaussian函数的一阶和二阶导数，Haar和三次样条函数的一阶导数作为小波函数的连续小波变换计算信号近似导数的一般性方法，与其他导数计算方法(包括数字微分法，多项式滤波法，Fourier变换法和离散小波变换法)相比，本法简单便捷，计算速度快，对于噪声含量较高的信号(S/N为5)，只要适当调节尺度即可获得比较满意的结果。

Based on the Influence factors of location error in clamping apparatus design, this paper has established the relation function between the procedure size s or angles and the location norm parameters, in which the positioning error substituted by the approximate differential value of function.

分析夹具设计中定位误差的影响因素，建立了工序尺寸或角度与定位基准有关量的函数表达式，由函数的微分近似代替定位误差。

The basic idea is to set a continuous solution of the region with a finite number of discrete points instead of a grid consisting of, these discrete points called grid nodes the solution of a continuous area on a given function of continuous variables used in the definition of discrete grid variable function approximation the original equation and boundary conditions in the micro-business operators to approximate differential, integral with the points and to approximate, so the original differential equations and boundary conditions are replaced by algebraic equations near Side, that is, finite difference equations , solve this equation group can get the original problem in discrete points on the approximate solution.

基本思想是把连续的定解区域用有限个离散点构成的网格来代替，这些离散点称作网格的节点；把连续定解区域上的连续变量的函数用在网格上定义的离散变量函数来近似；把原方程和定解条件中的微商用差商来近似，积分用积分和来近似，于是原微分方程和定解条件就近似地代之以代数方程组，即有限差分方程组，解此方程组就可以得到原问题在离散点上的近似解。

It is a program of bp neural network algorithm ,its function is simulating approximation of a function.

详细说明： bp神经网络算法程序，仿真逼近一个函数，内含详细注解，适合初学者。

Taylor theorem use polynomial approximation function to link the known function with its derivative in different orders.

作为一元函数微分学的顶峰，Taylor定理重要的作用之一是在一个给定点的附近，将函数近似地用多项式来代替。

Proposed in the paper are the ordered monotony property of MFNNs when the transfer function is monotone, the continuous mapping theorem, and non approximation theorem to function.

给出了单调传递函数的 MFNNs按序单调特性、连续映射定理以及非函数一致逼近定理。

Suppose is two-dimension random variable, for arbitrary real value ,call distribution function for two-dimension random variable or unity distribution function .

Definition 3.2 设是二维随机变量，对于任意实数，称二元函数为二维随机变量的分布函数，或称为的联合分布函数。

The algorithm is implemented by Fourier transform to obtain the real part and imaginary part of voltage based on digital sampling; and by trigonometric function to gain the sine or cosine dynamically; and then by Taylor series binomial of arc sine function to acquire the actual angle.

通过对数字化采样进行傅立叶变换获得电压的实部和虚部，动态地求取相位角的正弦值或余弦值，然后采用其反函数的泰勒级数二项式得到相位角度。

Key words: artificial intelligence; particle swarm optimization; inertia weight; tangent function; arc tangent function

关键 词：人工智能；粒子群算法；惯性权重；正切函数；反正切函数

It analyzes the development of modern industrial construction from 1970s, and with the modern architectural theory it summarizes the tendency of modern industrial buildings: When practicing the planning and the designing, it follows the theory of urban designing, and combines the factors of the architectonics, the urban planning,and the Landscaping together. While taking architecture techniques into practice, it emphasizes the combination of high-tech skills and industrial aesthetics and it exhibits the new styles of industrial building as well. It cares for the demanding of people and creates comfortable working environment. For protecting ecosystem, it stresses the developable function of industrial architectural designing, the communication with society and the enhancement of the social function of industrial construction.

本论文在大量的资料查阅、现场调研的基础上，分析了19 世纪70 年代以来现代工业建筑的发展状况，并综合现代建筑思想的发展，总结出现代工业建筑的一系列发展趋势：在规划设计中，始终以城市设计理论为主轴，走向建筑学、城市规划学、地景学的结合；在建筑技术运用中，注重高技术与工厂美学的结合，展现工业建筑新形象；将人性化设计引入工业建筑，创造出优美的工作环境，体现对人的关怀；注重对生态环境的保护，坚持工业建筑设计的可持续性；注重与社会的交流，增强工业建筑的社会职能。

The dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。