讨论了有限离散函数的性质。
结果：离散函数的近似函数就是灰色模型的传统函数。
Result: the approximate function of the dispersed function is a traditional function of the gray model.
对多元有限离散函数引入了偏导数及微分新概念，并讨论了其性质。
The partial differentiations and derivatives are introduced for multivariate finite discrete functions, and the properties of which are discussed.
在非标准分析框架下，用离散函数定义新广义函数，用差商定义其导数。
By using nonstandard analysis, we define new generalized functions as discrete functions, and their derivatives are defined as difference quotients.
本文论证了非负光滑离散函数累加生成后具有近似的指数规律，即灰指数律。
It is shown that the grey exponential law can be obtained by means of accumulative generation for non-negative smooth discrete function.
由于离散函数的导数不存在，因此，如何处理导数信号，是建立灰色模型的关键。
The derivative of dispersed function doesn't exist, so that, how to deal with the derivative is the key to set up grey model.
通过对高阶离散函数的一些精致估计，为高次矩形元的最佳超收敛性研究提供了有力的工具。
By fine estimate for high order discrete Green function, it is more convenient to study the optimal super-convergence of high order rectangular finite element.
采用适合离散函数的网格法研究小麦籽粒的长度、宽度、厚度、单粒质量等参数间的分形特性。
Fractional characteristics between length, width, thickness and weight of a single kernel were studied by using net method that adapted to the discrete function.
对于函数优化这个问题，根据目标函数定义域的性质，可以分为离散函数最优化和连续函数最优化。
For function optimization problems, according to the nature of the objective function domain, can be divided into discrete function optimization and continuous function optimization.
本文对正压模式中慢波的离散谱及其特征函数作了数值计算。
In this paper discrete spectra and their characteristic functions of slow waves in barotropic models are calculated.
并利用离散李亚普诺夫函数法导出系统稳定的条件。
The stability conditions are derived using a discrete Lya-punov function.
目前拥有的两个函数可以完成任意离散分布和任意一元连续分布的抽样。
The two functions we have now can sample from any discrete distribution and one -dimensional continuous distribution.
模型中水动力方程和泥沙扩散方程均采用幂函数方案的有限体积法离散。
In the model, the finite volume method discrete of power function is adopted for the hydrodynamic and silt diffusion equations.
在第二个问题中，我们给出了在离散的情形下，指数族势函数严凸的充分必要条件。
In the second we give the necessary and sufficient conditions for strict convexity of power function of exponential family in the discrete case.
采用样条插值函数将均匀介质的边界积分方程离散为代数方程组。
The boundary integral equation in homogeneous media was dispersed into algebraic equations through the use of spline function.
本文针对居民生活用水实施阶梯水价下双误差项的需求函数模型——离散连续选择模型进行了讨论，并给出了R包下的仿真算法和程序。
The paper discusses the two-error model demand function in ladder-like water pricing of residents living water usage—discrete continuous model, and proposes its algorithm and program in R package.
利用差分法可以求出自由扭转截面内各离散点应力函数的数值解。
Using difference method, numerical solutions of stress function of the discrete points can be obtained.
这两种方案分别从不同的角度解决了密钥的更新和复用问题，并通过引入一简单的离散对数函数解决了成员欺骗问题。
These two schemes resolved the problem of key renewal and key reuse of key and resolved participant cheating by a simple discrete logarithm function.
该方法以参数曲线代替单值函数曲线，以序列离散点代替连续曲线。
Using parametric curves, it substitutes the functional curves, replaces the continuous curves with sequential discrete points.
这些函数从JPEG图像离散余弦变换(DCT)域及其解压图像所在空域中提取易变特征。
Variable characteristics were captured in discrete cosine transform (DCT) domain of JPEG images and from their decompressed versions with these functions.
讨论了赋予局部有限拓扑的非空闭子集超空间的连通性，还引入了一个对讨论局部有限超拓扑有用的基数函数，称为离散度。
The connectedness of the non-empty closed subsets hyperspace with locally finite topology is discussed and a cardinal function called discrete degree is introduced.
本文对磨光函数的连续形式及离散形式给出了各阶导数的误差估计。
In this paper, error estimations on the derivatives of finite orders for continuous and discrete forms of smoothing functions, are given.
本文用传递函数方法讨论了离散广义系统正则反馈控制的结构性质和设计方法。
In this paper, for discrete singular systems, the structural properties and design methods of regularity feedback control have been discussed by transfer function.
本文提出将给定函数或离散坐标点定义的曲线，分段用二次曲线拟合的计算方法。
A new calculation is presented, in which the given functions or curves defined by dispersed coordinate points are approximated by quadratic curve in several parts.
体元模型由块体组成，块体之间界面采用连续函数或离散点插值表示。
The volume element model is composed of blocks, in which the interfaces between blocks represent by continuous function or interpolation at discrete points.
函数优化实验研究表明，在算法中采用何种离散重组算子较为合适与算子的组合能力有关，也与优化问题有关。
Function optimization experiments show that which operator works better in an algorithm depends on both the combination capability of the operator and the problem to be optimized.
用优化方法解决离散变量的工程问题，可采用惩罚函数法。
The optimal method-penalty technique can be used to solve discrete variable project problems.
为此先推导离散格林函数的权模估计和有限元解的渐近不等式展开，然后给出公式的证明。
For this, we derive the weighted estimates for discreet Green function and the asymptotic error expansion inequalities, and then the proofs of the formulas are given.
介绍了线性离散系统输出函数的一个解析表达式。
An analytic output expression for linear discrete systems is presented.
利用间断时空有限元方法对方程进行离散，即允许近似函数在时间节点处是间断的。
The equation is discretized by discontinuous Galerkin finite element method, that is approximating functions being discontinuous at the nodes of partition in time.
应用推荐