查询词典 fractional function

In this paper, we firstly make some qualitative analysis to Lorenz critical chaotic system, and then lead it to the corresponding unstable equilibrium point and periodic orbits in terms of the linear state feedback approach. Then we make a lot of simulations which indicate this method to be feasible. Fractional-order system, as well as Lyapunov exponent, has been used as a powerful tool for the quantitative study of chaotic systems.

本文首先对Lorenz临界混沌系统进行基本定性分析，然后利用线性状态反馈方法将其制到相应的不稳定的平衡点与周期轨道上来，并证明了被控制的Lorenz临界系统是全局渐进稳定的，并对取得的结果作了大量的数值模拟，模拟结果证实该控制方法简单有效可行。

In this paper, by discussing the basic hypotheses about the continuous orbit and discrete orbit in two research directions of the background medium theory for celestial body motion, the concrete equation forms and their summary of the theoretic frame of celestial body motion are introduced. Future more, by discussing the general form of Binet's equation of celestial body motion orbit and it's solution of the advance of the perihelion of planets, the relations and differences between the continuous orbit theory and Newton's gravitation theory and Einstein's general relativity are given. And by discussing the fractional-dimension expanded equation for the celestial body motion orbits, the concrete equations and the prophesy data of discrete orbit or stable orbits of celestial bodies which included the planets in the Solar system, satellites in the Uranian system, satellites in the Earth system and satellites obtaining the Moon obtaining from discrete orbit theory are given too.

摘 要：通过讨论天体运行背景介质理论的连续轨道及离散轨道这二个研究方向的基础假设，介绍了天体运行轨道的具体方程形式及理论框架概要；进一步地通过讨论天体运行轨道 Binet 方程的一般形式及其行星近日点进动角的解，给出了连续轨道理论与 Newton 理论及 Einstein 广义相对论的联系与区别；通过讨论天体运行轨道的分维扩展方程，给出了包括太阳系行星、天王星卫星、地球卫星、绕月航天器等在内的离散轨道方程及其预言数据。

By discussing the basic hypotheses about the continuous orbit and discrete orbit in two research directions of the background medium theory for celestial body motion, the concrete equation forms and their summary of the theoretic frame of celestial body motion are introduced. Future more, by discussing the general form of Binet's equation of celestial body motion orbit and it's solution of the advance of the perihelion of planets, the relations and differences between the continuous orbit theory and Newton's gravitation theory and Einstein's general relativity are given. And by discussing the fractional-dimension expanded equation for the celestial body motion orbits, the concrete equations and the prophesy data of discrete orbit or stable orbits of celestial bodies which included the planets in the Solar system, satellites in the Uranian system, satellites in the Earth system and satellites obtaining the Moon obtaining from discrete orbit theory are given too.

在深入研究引力理論及廣義相對論的基礎上，通過討論天體運行背景介質理論的連續軌道及離散軌道這二個研究方向的基礎假設，介紹了天體運行軌道的具體方程形式及理論框架概要；進一步地通過討論天體運行軌道Binet方程的一般形式及其行星近日點進動角的解，給出了連續軌道理論與Newton理論及Einstein廣義相對論的聯繫與區別；通過討論天體運行軌道的分維擴展方程，給出了包括太陽系行星、天王星衛星、地球衛星、繞月航天器等在內的離散軌道方程及其預言資料。

At present,the rate laws and reaction mechanisms of pyrite oxidation,pyrite and chalcopyrite formation,uraninite and magnetite dissolution in aqueous solutions are mainly studied,and it is discovered that (1)oxidation rate of pyrite controlled by surface reaction assume fractional dependence on Fe3+ and O2 molalities in acid solutions;(2)Pyrite cannot nucleate directly from solutions below 300 ℃,it can only form initially through sulfidation of a FeS precursor. The rate equation of reaction between FeS and H2S to form pyrite is of the second order;(3)Chalcopyrite is formed by reactions of pyrrhotite or pyrite with Cu2+,the former proceeds via a series of mediate metastable phases of Cu-Fe sulfide,whereas the rate equation of the latter is apparently of the first order which is controlled by surface reaction;(4)The nonlinear behavior of magnetite dissolution at acid pH can be represented by a shrinking core model coupling with surface reaction and diffusion transport.

目前主要研究了水溶液中黄铁矿氧化、黄铁矿和黄铜矿形成、晶质铀矿和磁铁矿溶解的速率定律和反应机理，发现：(1)酸性溶液中黄铁矿的氧化速率对Fe3+和O2浓度呈分数依赖并受表面反应的控制；(2)低于300 ℃时黄铁矿不能从溶液中直接成核，而需初始地通过FeS先驱物的硫化生成，FeS与H2S反应形成黄铁矿的速率方程为二级；(3)磁黄铁矿或黄铁矿与Cu2+反应均可形成黄铜矿，前者经历了一系列准稳的Cu-Fe硫化物的中间物，后者的速率方程为表观一级并受表面反应的控制；(4)酸性pH时磁铁矿的非线性溶解行为可采用表面反应扩散输运耦合的收缩核模型来描述。

The method is capable of very high frequency resolution if the technique of fractional addressing is used for.

这种方法的特点是连续读取预先存入波形存储器里的数据，然后通过数模转换器重新合成一个波形。

The behaviour of the viscous fluid flo w with a free surface is expressed by the unsteady Navier-Stokes equation.For nu merical integration in time domain the velocity correction fractional step metho d is used.

在任意拉格朗日欧拉坐标系下，用非定常不可压的N avier-Stokes 方程来描述粘性带自由面流体的运动，在时间的数值积分中采用了速度修正分步法。

The Wheatstone bridge is most sensitive to small fractional impedance changes in one of its arms when all the arms are the same impedance.

惠斯通电桥在四个桥臂阻抗相同时而其中的一条桥臂发生哪怕是极小的变化都非常敏感。

The basic laws for the fractional-slot wave windings are introduced in detail.

本文还对分数槽波绕组的基本规律作了详细介绍。

We should notethat AMD athlon 64 X2processors arebased on 65 nm corebrisbane, witch are slower then their 90 nm analogon corewindsor due tothe slower cache and the fractional multiplier.

我们应该注意到， amd的athlon 64 x2处理器都基于65纳米核心布里斯班，巫婆则较慢，其90纳米模拟核心温莎由于慢缓存和分数倍增。

A new optical image encryption method using anamorphic fractional Fourier transform and double random phase encoding is proposed.

提出一种利用变形分数傅里叶变换和双随机相位编码对图像加密的方法。

We were cousins—his grandfather was King of Scots,and his great-grandfather was Henry VII of England.

我们是堂姐弟——他的祖父曾是苏格兰国王，他的曾祖父是英格兰的亨利二世。

I do want to help you, but I am in a quandary now!

我是想帮你，但是我现在左右为难啊！