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An analog of the kernel of the timeindependent equation is proposed, leading to solvability conditions on the inhomogeneous term.


It will be shown that Newton's law of impact for two colliding point masses can be derived from the concept of energy conservation and the principle of maximum dissipation, and has therefore not to be regarded as an independent equation.


A sixth independent equation can be obtained to permit a complete stress solution by using the doubleexposure hologram technique in conjunction with an immersion tank.


The projection matrixdyads defining all the 16 independent equation solutions are found.


The timeindependent equation that describes this modulated wave is shown to be the stationary Schr?dinger equation (or the KleinGordon equation in the relativistic version).

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 The continuous increase of seismic stations in China has been accompanied by the rapid development of the study of regional earthquakes. The data of a series of minor earthquakes has been accumulated. On the other hand, in every sequence of earthquakes, the number of minor earthquakes has always been much more than that of greater earthquakes. Therefore, the study of the mechanism of minor earthquakes is quite neccessary. It is an intention in this paper to propose a method for studying the mechanism of minor... The continuous increase of seismic stations in China has been accompanied by the rapid development of the study of regional earthquakes. The data of a series of minor earthquakes has been accumulated. On the other hand, in every sequence of earthquakes, the number of minor earthquakes has always been much more than that of greater earthquakes. Therefore, the study of the mechanism of minor earthquakes is quite neccessary. It is an intention in this paper to propose a method for studying the mechanism of minor earthquakes. The method adopts the double couple model and uses three variable angles to determine the orientation of the principal axes of stress. To solute the three variable angles, we use the mutual ratios of first motion amplitude of four stations to establish three independent equations. The method requires at least four stations and only one component good recording at every station. The characteristics of seismometer are required. The effects of ground surface and the limitation for magnitude are discussed.  随着我国地震台网的不断增密,区域地震的研究正在迅速发展,所面对的资料是大量小地震。此外,在任何一个地震序列中,小地震的数量总比大地震多得多。因此研究小地震的机制非常必要。本文试图给出一个研究小地震机制的方法。此方法采用双力偶点源模型,通过三个变角来确定应力主轴的取向。为了求解三个变角,利用四个地震台初动振幅的相互比值建立了三个方程。此方法要求至少有四个地震台,而每个台只要有一个分向的良好记录即可。对地震仪的特性提出了要求,对地面影响和此方法的震级限度作了讨论。  In this paper author investigates a numerical method for the time independent equations of NS type and pressure Poisson equation. A method for handling the self consistent boundary conditions of pressure is proposed. Utilizing these boundary conditions and the selfadjusting difference scheme proposed in paper [6], numerical solution of complicated flow of viscous incompressible fluid can be obtained.  本文研究了定常NS型方程和压力泊松方程的耦合求解。提出了一种处理压力自洽边界条件的方法,结合文[7]中给出的自调差分格式,可以对一些较复杂的粘性不可压缩流进行数值求解。  We derived a method for the calculation of complex chemical equilibria byusing the independent components. The number of unknowns and the numberof independent equations for this method are obviously less than those used inthe method for the minimization of free energy, the method for the mass actionequations and the method based on calculating extents of reactions. By thissimple method a pocket programmable calculator e. g. TI59 is sufficient to calculate a complex chemical equilibrium system containing... We derived a method for the calculation of complex chemical equilibria byusing the independent components. The number of unknowns and the numberof independent equations for this method are obviously less than those used inthe method for the minimization of free energy, the method for the mass actionequations and the method based on calculating extents of reactions. By thissimple method a pocket programmable calculator e. g. TI59 is sufficient to calculate a complex chemical equilibrium system containing three elements whichform 10 chemical components but for the same system a computer must be usedby other methods. The basic principle and concrete procedure of the method are presented inthis paper. The superiority of the method to others according to theoretical consideration and computing practice is also discussed.  本文通过分析独立组元的本质,提出了一个按独立组元来计算复杂化学平衡的方法。这个方法中的未知数和方程数比现有的自由能最小化法、质量作用方程组的方法和反应进度的方法中的未知数和方程数显著减少,因而计算过程大为简化。例如,对于计算一个由3个元素10个组元组成的复杂化学平衡体系来说,若采用其它方法须用电子计算机,而采用独立组元法仅须使用袖珍可编程序计算器即可完成。 本文叙述了独立组元法的基本原理和具体方法,并根据理论分析和计算实践,将独立组元法与其它方法的优劣作了对比。   << 更多相关文摘 
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