查询词典 iterated function

The ideas and arithmetic of fractal iterated function system to render virtual scenes are described. The image of art is formed by Julia set.

复分形图可以绘制出各种奇特的形状，进行艺术图案设计，根据不同的常量值绘制了Julia集的分形图。

Iterated function system is one of the main formation ways to generate fractal graphics, and its attractor is good enough to simulate natural objects and scenery, but it is difficult to find the IFS parameters for simulation.

迭代函数系统的吸引子能够很好的模拟传统几何难以描述的各种自然景物。

By this algorithm the search was performed from a certain initial point by use of iterated function system and attractor of inner interval.

接着利用分形的自相似性与标度不变性将内区间的分形特性进行延拓，并由此构造了具有外推功能的分形插值算法，实现交通事故预测。

Fractal image compression, IFS, Partitioned Iterated Function Systems, Remote sensing.

分形图像压缩，IFS，局部迭代函数系统，遥感

This article uses the Fractal and Lyapunov-Bxponent to analyze and discuss the Iterated Function System. Some fractal pictures were drawn using Matlab.

本文利用分形维和李雅普诺夫特征指数对迭代函数系统进行了分析和探讨，并利用Matlab绘制了一些分形图形。

In virtue of the knowledge related to Fractal Theory, all fractals algorithms in the paper have already been realized on computer, such as Mandelbrot sets, Julia sets, L System and Iterated Function System, etc.

这样，不仅为包装设计者提供了一种新的设计手段，而且使设计者有更大的想象和发挥空间，可以更直接的体现设计者的创作意图。

This paper introduces the game theory and sets up, based on it, the choice model for the public transportation priority by identifying the function of the payoff and the muster of attendee and stratagem. In addition, it analyses the existence of NASH equilibrium, and puts forward the arithmetic of Iterated Elimination of Strictly Dominated Strategies in the general condition, the Integrated Strategies in the special condition and the flow chart of the model. At last, it verifies the feasibility of the model with the given example.

本文采用了博弈论的理论，通过对公交优先系统中参与者集合N、战略集合S和收益函数u的确定，建立了一种基于博弈论的公交优先技术方案选择博弈模型来量化方案选择问题；在此基础上分析了NASH均衡的存在性，并且给出了一般情况下的重复剔除劣战略和特殊情况下的混合策略两种模型求解方法以及公交优先技术方案选择博弈模型的流程图；最后通过算例分析，验证了博弈模型应用于公交优先技术方案选择的可行性。

For the Riemann boundary value problems for the first order elliptic systems , we translates them to equivalent singular integral equations and proves the existence of the solution to the discussed problems under some assumptions by means of generalized analytic function theory , singular integral equation theory , contract principle or generaliezed contract principle ; For the Riemann-Hilbert boundary value problems for the first order elliptic systems , we proves the problems solvable under some assumptions by means of generalized analytic function theory , Cauchy integral formula , function theoretic approaches and fixed point theorem ; the boundary element method for the Riemann-Hilbert boundary value problems for the generalized analytic function , we obtains the boundary integral equations by means of the generalized Cauchy integral formula of the generalized analytic function , introducing Cauchy principal value integration , dispersing the boundary of the area , and we obtains the solution to the problems using the boundary conditions .

对于一阶椭圆型方程组的Riemann边值问题，是通过把它们转化为与原问题等价的奇异积分方程，利用广义解析函数理论、奇异积分方程理论、压缩原理或广义压缩原理，证明在某些假设条件下所讨论问题的解的存在性；对于一阶椭圆型方程组的Riemann-Hilbert边值问题，利用广义解析函数理论、Cauchy积分公式、函数论方法和不动点原理，证明在某些假设条件下所讨论问题的可解性；广义解析函数的Riemann-Hilbert边值问题的边界元方法是利用广义解析函数的广义Cauchy积分公式，引入Cauchy主值积分，通过对区域边界的离散化，得到边界积分方程，再利用边界条件得到问题的解。

We prove the equivalent conditions of completely monotone function, we also discuss the relationship of positive definite function, semi-positive definite function and completely monotone function when the function take values in a commutitive von Neumann algebras.

我们证明了完全单调函数的几个等价条件，并且讨论了取值于交换von Neumann代数的正定函数，半正定函数及完全单调函数之间的关系。

Properties of efficient portfolios and the efficient frontier to the model are systematically analyzed. Our main results concerning the properties are: every efficient portfolio can be solved by minimizing portfolio risk under a given level of portfolio return or by maximizing portfolio return under a given level of portfolio risk; on the efficient frontier, the risk is a convex and strictly increasing function of the return and the return is a concave and strictly increasing function of the risk; the utility function on the efficient frontier can be expressed as a quasi-concave function of the risk or the return if the investor's utility function is quasi-concave.

从理论上系统地对该模型下的有效投资组合和有效前沿的性质进行了分析，结果表明：每一个有效投资组合可通过在给定期望收益水平的条件下最小化投资组合风险来获得，或者在给定风险水平的条件下最大化期望投资组合收益来获得；在有效前沿上，风险是收益的严格单调递增凸函数，收益是风险的严格单调递增凹函数；当投资者的效用函数是拟凹函数时，则有效前沿上的效用可表达成风险或收益的拟凹函数。

Continuously improve the production mechanism, to provide customers with better quality products and services.

不断的完善生产机制，给客户提供更优质的产品及服务。

B:Yes, he was the very prize-winner in the court tennis ten years ago?

是的，他是十年前的世界网球冠军。