A bounded constraint prevents the objective function from reaching a better value. 边界约束阻碍了目标函数达到更为优化的值。
Theorem 1 and are equivalent infinitesimals if and only if. Theorem 2 The product of a bounded function and an infinitesimal is an infinitesimal. 定理1与是等阶无穷小的充分必要条件为。
Theorem 2 The product of a bounded function and an infinitesimal is an infinitesimal. 推论1常数与无穷小的乘积是无穷小。
We prove that for an open manifold with curvature bounded from below, it has finite topological type or it is diffeomorphic to R~ n when its excess is bounded by some function of its critical radius. 我们证明了对于一个曲率下有界的开流形,当它的Excess被其临界半径的某个函数所界定时,它就有有限拓扑型或微分同胚于n维z欧氏空间。
Concerning the properties of bounded regular function in the nearly boundary 关于有界全纯函数在边界附近的某些性质
Wavelet analysis can give more "sparse" expression than Fourier analysis in piecewise smooth signal or bounded variance function. New multiscale methods can give better performance in approximating multivariate function in high-dimension space than wavelet analysis. 小波分析比Fourier分析能更稀疏地表示一维分段光滑或者有界变差函数,而新的多尺度分析方法在高维空间中对多变量函数的稀疏表示具有较小波分析更好的逼近性能。
Minimax estimation in scale parameter families as the parameter interval being bounded under squared loss function 平方损失下区间有界的尺度函数极小极大估计
The class of nonlinear systems considered is referred to as a semi-strict feedback system and includes parametric uncertainties, input gain uncertainties and the unknown but bounded nonlinear function and disturbance. 论文所研究的非线性系统是一类广泛的半严格反馈系统,系统的不确定性包括有界的参数不确定性,有界的输入增益的不确定性以及未知但有界的非线性方程和外部干扰。
Pointwise convergence has no completeness in bounded function space B ( I). 有界函数空间B(I)中的点态收敛不具备完备性。
On Two Important Results About Bounded Variation Function and Complete Continuous Function Mapping into Banach Space Banach空间取值的囿变函数与绝对连续函数的两个重要结论
In this paper, we give the relation between the class H~ ω of function and the class of bounded variation function, and generalize the results of Torriani. 给出函数类Hω和有界变差函数类BV之间的关系,推广了Torriani的结果。
Bounded oneway function gives a new insight in the one-way function. 有界单向函数的研究对一般单向函数存在性的研究提供了一个新的途径。
His paper studies the degree of approximation of bounded function with discontinuity of the first kind and functions of bounded variation of order p by Meyer Konig Zeller operators Mn ( f, x). The result of [ 1] is extended and improved. 本文研究MeyerKonigZeller算子Mn(f,x),对有界函数和p阶有界交差函数在第一类间断点的逼近度,推广和改进了文〔1〕的结果。
Some Properties on Bounded Variation Function of Real-valued 实值有界变差函数的一些性质
A property of bounded variation function with its application 有界变差函数的一个性质及应用
The conclusion that bounded variation function and complete continuous function mapping into Banach space arc both Banach space is given in this paper. 本文给出了抽象囿变函数与绝对连续函数在适当的范数意义下均构成Banach空间的结论。
The marginal recursive equations on excess-of-loss reinsurance treaty were investigated, under the assumption that the number of claims belongs to the family consisting of Poisson, binomial and negative binomial, and that the severity distribution had bounded continuous density function. 在索赔数目服从Poisson分布、二项分布或负二项分布,以及索赔额分布的密度函数连续且有界的条件下,研究了溢额损失再保险条款的总体损失分布的条件递推方程。
The local robustness is described by the bounded Influence Function. 以影响函数的有界性来描述估计量的局部稳健性。
The relation between bounded variation function and differentiable function is discussed. 研究了[a,b]上的有界变差函数与[a,b]上的可微函数之间的关系,得出了有界变差函数是准可微函数;
A new decentralized robust control method is discussed for a class of nonlinear interconnected large-scale system with unknown bounded disturbance and unknown nonlinear function term. A decentralized control law is proposed which combines the approximation method of neural network with sliding mode control. 针对一类具有未知界扰动和子系统部分已知的非线性大系统,结合神经网络逼近方法、滑模控制研究了一种新的分散鲁棒自适应控制方法。
This paper introduces the concept of ( E1) bounded variation function with value in a Banach space, and discusses the relations between strong variation functions, weak variations and ( E1) bounded variation functions. 引入取值Banach空间中的(E1)囿变函数的概念,并讨论它与强、弱囿变函数之间的关系。
Some properties of the variation function and the bounded variation function of order 2 关于二级变差函数与二级囿变函数的若干性质
Some Properties of the Bounded Variation Function of Order K on the Sequence Spaces 叙列空间上K级囿变函数的一些性质
A bounded transverse function is firstly constructed, by which a corresponding smooth embedded submanifold is defined. 首先构造有界横截函数,定义出相应的光滑嵌入目标子流形。
By online approximating the uncertain follower dynamics and using a bounded artificial potential function to avoid the collisions between the agents, a neural flocking algorithm is proposed. 采用神经网络对不确定动态进行逼近,并利用有界人工势能函数防止多智能体之间碰撞。
The process of the cart-drum evolution exists variety of control variables of natural environment, social systems, economic conditions, religious culture, these have the promotion and bounded function to the way to the cart-drum evolution. 车鼓演化过程存在自然环境、社会制度、经济状况、宗教文化多种控制变量,对车鼓演化路径产生促进性和约束性作用。
A kernelization is a polynomial time algorithm that computes from a given instance an equivalent instance of the same problem, with the size and parameter of the output bounded by a function of the parameter of the input. 核是一个从输入实例中计算并输出同一个问题的等价实例的多项式算法,而且要求输出实例的大小和参数都是输入实例参数的函数。
It is shown that, for a given open factor map between minimal dynamical systems, the factor map is positively equicontinuous if and only if each open cover has a bounded relative complexity function. 我们证明了:对于极小动力系统间的开因子映射,它为正向等度连续扩充当且仅当每个开覆盖具有有界的相对复杂性函数。
Compared with Fourier analysis, wavelet analysis can give more "sparse" in one-dimensional piecewise smooth function or bounded variance function. In terms of one-dimensional signals, wavelet representation is optimal. 小波分析比傅立叶分析能更稀疏地表示一维分段光滑或者有界变差函数,对一维信号来说,小波表示是最优的。
Using continuous fault model, global fuzzy state feedback controller is designed for the part failures of actuator and the upper bounded of cost function is obtained. 通过引入连续执行器故障模型,对部分失效的执行器设计全局模糊状态反馈控制器,并得到给定二次成本函数的上限。