查询词典 defining equation

The purpose of this paper is to prove the existence of non-oscillatory solutions to second-order neutral time-lag differential equation with positive/negative coefficient by using contraction-image principle through defining an operator from a bounded,closed,and convex subset into Banach space.

通过定义有界闭凸子集到B anach空间上的一个算子，应用压缩映像原理讨论了带有正负系数的二阶中立型时滞微分方程非振动解的存在性，得到该方程非振动解存在的一个充分条件。

The S-L-E experiment data for the three groups of isomers were treated by using improved UNIFAC equation with new defining of some UNIFAC groups, we got better result.

采用改进的UNIFAC方程，利用新定义基团的方法，对已测定的同分异构体物系的二元固液相平衡数据进行了处理并取得了较好的回归结果。

In this paper, we will discuss the existing condition of the periodic solution of Duffing type equation with damping term. We use homeomorphism and fixed point method to prove the periodic solutions existence. We try to loose its condition, analysis and then get the existing condition of periodic solution according to defining atmospheric dynamics equation.

本文中，我们探讨带阻尼项的Duffing型方程周期解的存在性条件，运用不动点方法和Leray-Schauder度理论来证明其存在周期解，尽可能放宽其约束条件，并针对具体的大气动力学方程，分析并求取其周期解的存在性条件。

The linerarized step contains solving differential equation, defining feedback control and new coordinate.

其精确线性化步骤含：求解微分方程、定义反馈控制及反馈线性化后的新坐标。

Applying energy variation principle, we give equation s defining parameters in flexural function, stability equation , frequency equation , and general formulae of minimum critical force and minimum eigenfrequency as well.

应用能量变分原理，给出了确定挠曲函数中待定参数的方程，以及稳定性方程和频率方程，给出了求最小临界力和最小固有频率的一般公式。

Although the merit function introduced here is the sum of squares of overdetermined equations, by using the special structure of it, we successfully form the Newton equation by avoiding the product of Jacobi matrices and using only the Jacobi matrix of the function defining NCP.

对非线性互补问题，利用所构造价值函数具有的特殊非线性最小二乘结构，成功实现了具有一般意义的构造Newton方程时仅利用价值函数的一阶导数且无须计算相应残量函数Jacobi矩阵乘积的Newton法。

The general electric field integral equation presented can be applied to any wire antenna by defining the appropriate unit vector,?

通过定义适当的单位矢量l？

In the aspect of the study of the application of HHT method, This dissertation has done three part of jobs: first, the Elcentro strong ground motion which is in common use in earhtquake engineering is analyzed by HHT method, getting its amplitude-frequency-time distribution and the comparison between the HHT marginal spectrum and Fourier spectrum is also made; second, the typical nonlinear system defined by the Duffing equation is analyzed by HHT method, getting its numerical value's amplitude-frequency-time distribution and the comparison between the HHT marginal spectrum and Fourier spectrum is also made; third, define the stationary degree of non-stationary signals making use of 3-D time-frequency spectrum and marginal spectrum, the stationary degree curve of Elcentro seismic recording is protracted according to its defining formula, the stationary degree curve of Elcentro seismic recording which change with time is protracted according to similiar definition.

在HHT方法的应用研究方面，本文做了三部分的工作：首先，利用HHT方法分析了地震工程中常用的Elcentro非平稳强震记录，得到了该记录的振幅－频率－时间分布特性，并将得到的边际谱与傅立叶谱做了比较；其次，应用HHT方法分析了典型的非线性系统－Duffing方程，得到了该方程数值解的振幅－频率－时间分布特性，并将得到的边际谱与傅立叶谱做了比较；最后，利用三维时频谱与边际谱定义了非平稳信号的平稳度，并依照其定义式绘制了Elcentro地震波记录的平稳度曲线，依照类似与依赖与频率变化的平稳度定义，初步尝试编程绘制了Elcentro地震波随时间变化的平稳度曲线。

The method of defining pedestal pile foundation deformation modulus is especially discussed in this article, and it takes the Mindlin solution as the starting point using mathematics method to get the Poissons ratio which is the factor influencing foundation soil deformation modulus , and a deformation modulus calculating equation is finally determined.

其中特别论述了扩底桩地基变形模量的确定方法，并从Mindlin解出发利用数学方法得出了影响地基土变形模量大小的因素—泊松比μ，初步确定了比较完善的变形模量计算公式。

The basic thoughts of applying genetic algorithms in pipe network design is: concerning the objectives of pipe diameter, defining the costs of pipe network as objective function, and considering hydraulic situation(continuous equation and cycle equation of the crossover of pipe network), velocity of flow of pipes as restraining elements, this thesis carries out the optimal calculation on the design of pipe network.

运用遗传算法进行管网优化设计的基本思路是：将管网管径作为求解对象，以管网造价为目标函数，以水力条件（管网节点连续方程和环方程）、管段流速作为约束条件进行优化计算。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。