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解此方程
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  solving this equation
     The relation between intensity and duration of output pulse and wavelengths can be obtained by solving this equation.
     解此方程能够获得输出脉冲强度、宽度和波长的关系。
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  solving the above equation
     By solving the above equation, the famous logarithmic law was obtained again and Karman's constant wastheoretically determined, K = 1/6 = 0.408.
     解此方程再次导出了著名的对数律,并从理论上决定了对数律中的Kármán常数,K=1/6~(1/2)=0.408。
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  “解此方程”译为未确定词的双语例句
     Using the Liapunov-Schmidt method and symmetry-breaking bifurcation theory, wecompute and visualize multiple solutions of Lane-Emden equation on the plane of R2 with ahomogeneous Dirichlet boundary condition, which plays an important role in stellar structureand evolution theory.
     本文运用Liapunov-Schmidt方法和对称破缺分歧的理论计算并画出了平面上带有齐次边界条件的Lane-Emden方程的多个解,此方程在恒星结构和演化理论中有重要的作用。
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     The bound state eigenfunctions of modified Poschl-Teller potential expressed in terms of universal associaced-Legendre polynomials ean be obtained as this equation is solved by using series expansion method.
     用级数法解此方程,得到了用普遍的associated-Legendre多项式表示的修正Poschl-Teller势的束缚态的归一化波函数.
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     Based on the definition of sensitive actual stage a cubic equation was derived and solved for the liquid compositions on the sensitive actual stages for the rectifying and stripping sections.
     从灵敏实际级的定义出发,导出一个立方型方程,解此方程得出精馏段和提馏段的灵敏实际级上的液相组成。
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     Nonlinear equation of variable S/T on the condition of transient flow pumping test of constant discharge or variable discharge is derived from the basis of the Theis fomula. The hydrogeologic parameters, S and T, can be easily evaluated by the method of iteration, which is applicable to evaluating parameters with the data from serial.
     在泰斯公式基础上,推导出定流量和变流量非稳定流抽水条件下关于S/T为变量的非线性方程,用“迭代法”解此方程,可方便地求出S、T等水文地质参数。
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     The equation of sound pressure amplitude at the receive end in the resonance interference method of sound speed experiment and its resolving method with a computer are introduced.
     本文介绍了我们所研究的共振干涉接收端声压振幅方程以及用微机解此方程的数学计算方法
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  相似匹配句对
     The Solution of Inversion Eqation
     逆序方程
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     Exact Solutions for R-L-W Equation
     R-L-W方程的精确
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     The equation can be solved with moment method.
     使用矩量法,可积分方程
短句来源
     Existence and uniqueness of solutions are established,explicit expression of the solution is given,and its strongcontinuity is also proved.
     在基础上,证明了:方程的存在性,唯一性和强连续性.
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     The Ernst equation and its solution are discussed from this point of view.
     并以观点出发,研究了Ernst方程和该方程
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  solving this equation
The continuation method is used for solving this equation; by means of it is found the analytical solution to the Markov risk model.
      
An approximate analytical method of solving this equation, which is in good agreement with the numerical solution, was proposed.
      
An approximate analytical method of solving this equation, which is in good agreement with the numerical solution, was proposed.
      
A numerical method for solving this equation on the basis of a piecewise-linear approximation of the unknown function is proposed.
      
A comparison of the calculation results obtained in solving this equation with experimental data on boiling of highly superheated water and the R-113 refrigerant reveals their good agreement.
      
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  solving the above equation
Figure 6 shows the loop-gain contours as obtained by solving the above equation.
      
In the literature, there are two well-known methods for solving the above equation.
      
In most cases we are given N so solving the above equation for N gives the number of active connections.
      
Solving the above equation, we can obtain the necking stress n for a given strain.
      
These rj values can be deduced by solving the above equation.
      
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本文对于准线性微分方程(?)+k~2x+f(t)=μF(t,x,(?),μ)当其中f(t)及F 均为周期为2π的周期性函数,应用庞加莱的小参数法求第n 级共振而解此方程时,不将出发解写成一般形式,而写成:x_o=(?)(t)+A_o cos(nt+α)应用周期性函数对时间在一周期内的积分与时间轴零点选择无关这一性质,改变庞加莱法中用以求出发振幅的公式成为如下形式:P_2(A_o,α)=integral from n=o to 2πF[τ-α/n,A_o cos nτ+(?)(τ-α/n),-n A_o sin nτ+(?)(τ-α/n),0]sin nτdτ=0Q_2(A_o,α)=integral from n=o to 2πF[τ-α/n,A_o cos nτ+(?)(τ-α/n),-n A_o sin nτ+(?)(τ-α/n),0]cos nτdτ=0对于干扰力f(t)仅包括一项正余弦函数(此时(?)(t)=0),函数F 中与t 有关的项只包括数项正余弦函数时,用上述公式求出发振幅(解的第一级近似)将很方便。本文还推证了存在唯一的周期解的条件为:(?)P_2/(?)A_o -(?)Q_2/...

本文对于准线性微分方程(?)+k~2x+f(t)=μF(t,x,(?),μ)当其中f(t)及F 均为周期为2π的周期性函数,应用庞加莱的小参数法求第n 级共振而解此方程时,不将出发解写成一般形式,而写成:x_o=(?)(t)+A_o cos(nt+α)应用周期性函数对时间在一周期内的积分与时间轴零点选择无关这一性质,改变庞加莱法中用以求出发振幅的公式成为如下形式:P_2(A_o,α)=integral from n=o to 2πF[τ-α/n,A_o cos nτ+(?)(τ-α/n),-n A_o sin nτ+(?)(τ-α/n),0]sin nτdτ=0Q_2(A_o,α)=integral from n=o to 2πF[τ-α/n,A_o cos nτ+(?)(τ-α/n),-n A_o sin nτ+(?)(τ-α/n),0]cos nτdτ=0对于干扰力f(t)仅包括一项正余弦函数(此时(?)(t)=0),函数F 中与t 有关的项只包括数项正余弦函数时,用上述公式求出发振幅(解的第一级近似)将很方便。本文还推证了存在唯一的周期解的条件为:(?)P_2/(?)A_o -(?)Q_2/(?)A_o(?)Q_2/(?)A_o (?)P_2/(?)A_o ≠0又推证了解稳定的条件为:(?)P_2/((?)A_o)+1/A_o (?)Q_2/(?)α>0(?)P_2/(?)A_o 1/A_o (?)P_2/(?)α(?)Q_2/(?)A_o 1/A_o (?)Q_2/(?)α>0最后并举了再生收音机回路的电势方程的例子加以说明。

In this paper, starting from the stochastic motion of small spherical vortexes, the flow feature of fully turbulent region of wall turbulence was studied and the differential equation describing this stochastic process was set up. By solving the above equation, the famous logarithmic law was obtained again and Karman's constant wastheoretically determined, K = 1/6 = 0.408.

本文从小涡球的随机运动出发研究壁湍流的流动特征。建立了这个随机过程所满足的随机微分方程。解此方程再次导出了著名的对数律,并从理论上决定了对数律中的Kármán常数,K=1/6~(1/2)=0.408。

Based on the definition of sensitive actual stage a cubic equation was derived and solved for the liquid compositions on the sensitive actual stages for the rectifying and stripping sections.The locations of the sensitive actual stages were determined by using approximate analytical method previously developed by the author.The results show a relative error of about 1% as compared with those obtained from step-by-step calculations.It is thus suitable for engineering calculations.However,only binary ideal system...

Based on the definition of sensitive actual stage a cubic equation was derived and solved for the liquid compositions on the sensitive actual stages for the rectifying and stripping sections.The locations of the sensitive actual stages were determined by using approximate analytical method previously developed by the author.The results show a relative error of about 1% as compared with those obtained from step-by-step calculations.It is thus suitable for engineering calculations.However,only binary ideal system distillation is considered here.

从灵敏实际级的定义出发,导出一个立方型方程,解此方程得出精馏段和提馏段的灵敏实际级上的液相组成。随之,利用作者曾经建立的近似分析法,确定两段的灵敏实际级的位置。与逐级计算相比,计算结果的误差约为l%,可用于工程计算。本文仅涉及双元理想溶液的精馏。

 
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