1) eikonal equation
程函方程
1.
Using the wavefront spreading method to solve the eikonal equation for anisotropic media;
波前扩展法求解各向异性介质的程函方程
2.
Seismic tomography based on new finite difference scheme of eikonal equation;
一种新程函方程差分法层析成像
3.
A method using improved eikonal equation to compute travel time;
一种改进的利用程函方程计算旅行时的方法
2) Eikonal equation
程函方程式
1.
矷n the paper,Eikonal equation was deried at first and then it was used to make research into the light ray equations and Fermat principle and some application examples are given.
首先推导出程函方程式 ,然后应用程函方法研究光线方程式和费马原理 ,并给出了应用实
2.
In the paper, Eikonal equation was delved at first and then it was used to make research into the light ray equations and Fermat principle and some application examples are given.
首先推导出程函方程式，然后应用程函方法研究光线方程式和费马原理，并给出了应用实
3) functional equations
函数方程
1.
The form of the Cauchy difference is generalized, and several characterizations are given for the function F:G×G→H with the difference representation F(x,y)=f(x+y)+f(x-y)-nf(x)-nf(y) , by means of systems of functional equations, wh.
推广了 Cauchy差分的形式并且利用函数方程组给出了函数 F:G× G→ H具有差分表示 F( x,y) =f ( x+ y) + f ( x- y) - nf ( x) - nf ( y)的几种刻画 ,其中 n是一正整数 ,f是 G到 H的函数。
2.
With the two kinds of ducts as an example, the variation of cross sectional area and the functional equations are discussed in detail.
应用微分几何、空间解析几何以及画法几何的原理 ,提出了构成两种典型的直纹渐变曲面管道几何模型的简易方法 ,并以这两种管道为例 ,对其横断面的变化及其函数方程进行了详尽的讨论和分析 ,并为这类管道的计算机辅助设计提供了方便实用的数学模
3.
The basic elementary functions represented by functional equations were obtained by using the methods of solving ordinary differential equations and initial value probe.
用求解常微分方程及其初值问题的方法得到由函数方程表示的基本初等函数。
4) functional equation
泛函方程
1.
Functional network method to solving functional equations;
求解泛函方程的泛函网络方法
2.
This Paper is intended to study the Oscillation of the following higher order nonlinear functional equations with variable coefficients And some new oscillation criteria are obtained, and these criteria improve some of the known results at present.
研究变系数高阶非线性泛函方程X(g(t))=P(t)X(t)+Q(t)■|(X(gki+1(t))| isignX(gki+1(t))的解的振动性,得到了一些新的振动准则,这些准则改进了目前已有的某些结果。
5) function equation
函数方程
1.
A function equation related to the Smarandache function and its positive integer solutions;
一个与Smarandache函数有关的函数方程及其正整数解
2.
According to the experimental research of Kelong four type representative split air conditioner indoor unit of distinctness structure obtains the a variation rule for air flow,noise and motor power with fan motor rotate speed of split air conditioner indoor unit,and fits the function equations,brings forward the simple optimum design method.
通过对科龙4款具有代表性的不同结构挂壁式空调器室内机的试验研究,得出挂壁式空调器室内机的风量、噪声、功率随转速变化的规律,拟合出其所遵循的函数方程,提出一种简单的室内机风量、噪声、功率的优化设计方法。
3.
This paper investigates into the method for determining the times of multiple roots of the nonlinear function equation f(x)=0, revising and supplementing the former conclusions,and obtains some more precise results.
文章对一般非线性函数方程重根次数的确定方法进行了探讨,对原有几个结论作了修改和补充,从而得到了更精确的结果。
6) functional equation
函数方程
1.
Solutions to a class of functional equations;
一类函数方程的整函数解
2.
More notes on a functional equation;
关于一个函数方程的又一注记
3.
On a class of linear functional equations for functions of several variables;
一类多元函数的线性函数方程
补充资料：程函方程
程函方程
tikonal equation
【补注】几何光学理论的一个良好的叙述见【A3」;几何光学和伪徽分算子(p笼以匆一由晚彻坛习。详服幻r)理论在[AZI中论述.程函方程I曰比.1闰.位扣冷‘即.a刀a ypaaae朋eJ 下面形式的偏微分方程: 子了a:VI 间\创万/c一林’，’“，芜J这里m是空间维数，c是恒不为零的光滑函数.在应用中c是波传播的速度.而曲面议xl，…，x用)=常数是波前集‘射线(见R绷口t原理(民nt以t Prindp均)是程函方程的特征线.程函方程有一系列推广和类似.特别地，程函方程的一个推广是方程 __了._日:刁:、 月‘X-…“X--一二，;~.‘”一二，，，=1. 、0万v芜”/_，___、，_刁T刁丁，，，一，_.，、，、一其中H是关于资斗~，…，弓址分的一次齐次函数，并满~’“~z、‘己xl”日x‘“JU、产’夕、一~”’‘，足某些附加的限制.程函方程的非定常类似 切.:_、厂了万刃， 箭+。“，x’，一’)了昏又命)一0有着重要意义.上面的方程是波动现象理论中所出现的弥散方程 日口 一共拼~=。〔t.x，.·…x爪，e_:几·…a__。) 刁t胃、‘，八”几’以x，”vx”的特殊情形.这里田是一个给定的函数. 几何光学的数学理论可以看作程函方程理论.程函方程的所有形式都是一阶偏微分方程.程函方程的解可以有奇性.它们的理论是可橄映射的奇异性(s咖州以U心of由[fe氏泊tiab七仃坦pPI们邵)理论的一部分(亦见H画亩腼团一血戊心理论(Har国lton刁acobit坛泊-ry);几何近似(g”血川CaPPro劝nation)和射线法(myn犯山团)).
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条