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简单方程
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  simple equation
     on the basis of this,the problem of finding out roots of a linearized polynomial is changed into the problem of solving a simple equation in a finite field. Because of this,it is convenient for a computer to find out roots of a linearized polynomial.
     在此基础上,将线性化多项式根的求解问题归结为有限域上简单方程的求解,使得可以方便地用计算机求解线性化多项式的根。
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     According to a quasi-lattice model, a simple equation for predicting the interfacial tensions of binary systems from UNIQUAC parameters and mutual solubility data has been obtained.
     基于准晶榴界面模型,提出用互溶度数据和UNIQUAC参数计算二元体系液液界面张力的简单方程
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     For example, after operated with Fourier transformation, Helmholtz equation becomes a simple equation with a solution to plane wave, which describes propagation of sine wave in the uniform media.
     例如,对Helmholtz方程做傅里叶变换,得到一个具有全局化的平面波解的简单方程,傅氏调谐基函数在均匀介质中的传播即依赖于这个方程。
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     From the model of interface phase and a semi-empirical equation derived to describe the variation of interfacial tension with the thickness of the interface phase, a simple equation has been developed to estimate the interfacial tensions of ternary systems.
     基于厚度变化的界面相模型,结合推导得到的界面张力随界面相厚度变化的半经验关系,提出由二元体系界面张力及互溶度数据估算三元体系界面张力的简单方程
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     By means of some limiting procedures, the solutions of a complex nonlinear equation with many parameters could degenerate into the solutions of a simple equation with less parameters. In this paper, taking KdV equation and high order KdV equations as example, we analyse the possibility of the inverse procedure of the limiting process mentioned above. The results show that deforming a solution of a simple equation into that of the.
     从具有较多参数的复杂非线性方程的解出发,取某些参数的极限,这些解就退化到具有较少参数的简单方程的解,本文以KdV方程的行波解为例说明对于某些特解,上述极限过程的逆过程,即将简单方程的解形变到复杂方程的解是可能的,但一般来说并不一定具有唯一性。
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  “简单方程”译为未确定词的双语例句
     The result of ideal equation, h equation and the new model are similar.
     另外本文模型与简单方程、兄h方程相比,其预测结果与简单方程、兄h方程的精度基本相当。
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     There were 4-7 parameters and 9 - 14 coefficients in the model equation.
     该模型方程式形式简单,方程参数4~7个,系数9~14个,在预测计算中,不用进行复杂的迭代计算和严格模拟计算,计算方便、速度快。
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     A new set of simple equations for analyzing the Fresnel diffraction field distribution of an one- dimensional rectangular grating with the opening ratio 1/M (where M is a positive integer) is derived.
     对一维开口比为 1/M(这里 M为大于 1的正整数 )的矩形光栅 ,建立了一组新的在分数塔尔博特 (Talbot)距离上计算其菲涅耳衍射光场分布的简单方程
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     In ref. 1 simple equations are obtained which express the thermodynamic properties of non-dissociative products of combustion of hydrocarbons with air. In present paper this method is extended to the ease of fuel consisting of C-H-O-N'-S.
     文献[1]给出了表示烃与空气的非离解燃烧产物热力性质的简单方程,本文把这种方法推广到C—H—O—N’—S类型的任意燃料.
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     A simplifing equation, which can give sencond order temperature effects of silicon integration MOSFET from 27 to 300℃, has been presented by this paper.
     本文简化了MOSFET伏安特性的精确公式,得到了一个能反映27℃~300℃硅集成MOSFET=级温度效应的简单方程
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  相似匹配句对
     ( 3 ) The form of equation is simple.
     (3)方程形式简单
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     (c) it is simple.
     (c)简单 ;
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     The equations are simple in form and easy to solve.
     该方程未知数少、简单易解.
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     The simple equation changes into nonlin-ear Schrodinger equation when viscous effect is died away.
     dinger 方程
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     THE EQUATION OF MAGNETIC LINE OF FORCE
     磁力线方程
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  simple equation
It turned out that two-parameter families of the generalized periodic solutions to this simple equation form complicated structures of a new type.
      
On the basis of this investigation a simple equation is derived for determining the fluctuation as a measure of the random coexistence, in a complex process, of both indicated components of resistance.
      
A relatively simple equation was proposed for calculating nitrate concentrations.
      
A simple equation is derived for calculating the energy loss of a relativistic, multiply charged ion moving in an electron plasma in the region where the Born approximation fails.
      
An analytical expression for the velocity of the ionization front is obtained based on a simple equation for the multiplication of background electrons.
      
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In ref. 1 simple equations are obtained which express the thermodynamic properties of non-dissociative products of combustion of hydrocarbons with air. In present paper this method is extended to the ease of fuel consisting of C-H-O-N'-S. Prom an analysis of the composition and thermodynamic properties of combustion products of fuel with air, the approximate formulae for calculation of thermodynamic properties are obtained. These thermodynamic properties depend only on components of fuel and fuel coefficient...

In ref. 1 simple equations are obtained which express the thermodynamic properties of non-dissociative products of combustion of hydrocarbons with air. In present paper this method is extended to the ease of fuel consisting of C-H-O-N'-S. Prom an analysis of the composition and thermodynamic properties of combustion products of fuel with air, the approximate formulae for calculation of thermodynamic properties are obtained. These thermodynamic properties depend only on components of fuel and fuel coefficient and temperature of products. To facilitate their application, necessary data are prepared in Appendix B. For arbitrary fuel consisting of C-H-O-N'-S, the thermodynamic properties of combustion products at fuel coefficient varying from 0 to 1.0 and temperature varying from -50 to + 1500℃ can be obtained. It's accuraey is close to the accuracy of the enthalpy table in ref. 1.

文献[1]给出了表示烃与空气的非离解燃烧产物热力性质的简单方程,本文把这种方法推广到C—H—O—N’—S类型的任意燃料.根据燃气成分及其热力性质的分析,得到了表示燃气热力性质的表达式,它们只是燃料成分、燃料系数和燃气温度的函数.为便于使用,附录B给出了必要的数据.根据这些公式和数据,可在电子计算机上很方便地算出碳、氢、氧、氮、硫类型燃料的、燃料系数不大于1、温度在—50到+1500℃范围内任意燃气的热力性质.其准确度接近按文献[1]中焓值表进行插值计算的准确度.

Under the conditions similar to industrial ammonia synthesis, the intrinsic kinetics of Series "A" Catalysts (A110, A106) made in China for ammonia synthesis has been investigated. After the experiment data have been correlated by corrective expression of simple Temkin-Pyzhev equation, it is found that this equation is also valid for intrinsic kinetics of Series "A" Catalysts in ammonia synthesis.

在近似工业合成氨的实际条件下,研究了我国研制的A系工业催化剂表面上的本征动力学。在用简单的方程的修正表达式对实验数据作电算处理之后,证明了A系催化剂表面的氨合成动力学用方程来描述是基本适用的、有效的。经过电子计算机的优化计算,认为动力学参数a值取0.5较好。所求得的表观活化能与许多学者的研究结果相近。因此,本报告为A系催化剂的工程应用计算,推荐了一个适用的动力学模型以及相应的动力学参数。 通过动力学数据的比较,证实了A110催化剂比A106及国外同类型产品催化剂具有更高的催化活性及较低的活性温区。

In this paper we study the singular Cauchy's problem, the singular third problem and the singular fourth problem for the following Fuchsisan equaton U_(xyz)+a/(x+y+z)U_(yz)+a/(x+y+z)U_(2x)+c/(x+y+z)U_(xy)+d/(x+y+z)~2U_x +e/(x+y+z)~2-U_y+f(x+y+z)~2U_z+g/(x+y+z)~3U=0 (1) (where a, b, c, ......, g are all contants). When the coefficients of the equation satisfy certain conditons, we prove that these problems are "correctly set", and give the explicit expressions of their solutons. When the coefficients of (1) do...

In this paper we study the singular Cauchy's problem, the singular third problem and the singular fourth problem for the following Fuchsisan equaton U_(xyz)+a/(x+y+z)U_(yz)+a/(x+y+z)U_(2x)+c/(x+y+z)U_(xy)+d/(x+y+z)~2U_x +e/(x+y+z)~2-U_y+f(x+y+z)~2U_z+g/(x+y+z)~3U=0 (1) (where a, b, c, ......, g are all contants). When the coefficients of the equation satisfy certain conditons, we prove that these problems are "correctly set", and give the explicit expressions of their solutons. When the coefficients of (1) do not satisfy the above-mentioned conditions, we consider only equation (33) which is a particular case of equation (1). A solution of cauchy's problem for (33) is presented in terms of Riemann's function.

本文研究了下列三阶Fuchs型方程: U_(xyz)+a/(x+y+z)U_(yz)+a/(x+y+z)U_(2x)+c/(x+y+z)U_(xy)+d/(x+y+z)~2U_x +e/(x+y+z)~2-U_y+f(x+y+z)~2U_z+g/(x+y+z)~3U=0 (1)(其中a,b,c……,g均为常数) 的奇柯西问题、奇第三问题及奇第四问题。当方程(1)的系数满足一定关系时,证明这些问题是适定的,并给出了解的表达式。当(1)的系数不满足上述关系时,我们对一个较简单的方程(33),通过Riemann公式建立了其柯西问题解的表达式。

 
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