条件方程

In chapter 5, we investigated Hopf bifurcation properties of Daphnia Magna equation. Based on center manifold and normal form, we get the formulas for determining the directions of Hopf bifurcation and the stability of bifurcational periodic solutions.

在第五章中，我们讨论了无量纲Daphnia Magna方程在Neumann边值条件下的Hopf分支，得到了Hopf分支的存在的条件，利用中心流形和规范型理论得到了分支方向，分支周期解的稳定性的计算公式。

The quantumism type of electron out of atomic nucleus is represent at discontiguous energy state,薛定谔equation can find the logical result only at some specifically situations, specifically situations are describe as quantum number.

核外电子的量子化特征表现在其能量状态的不连续性，薛定谔方程只有在某些特定的条件下，才能得到合理的解，表示这些特定条件的物理量就称为量子数。

The energy loss through feces was 0.077C (C: food consumption, KJ/d) and the energy loss through excretion was 0.052C at maximum feeding rate. In that the ratios of F and U to C were low in fish energy budget equation (Cui et al., 1997), the energy loss through feces at optimum feeding rate could be estimated by 0.077C〓(C〓: the optimum feeding rate) and the energy loss through excretion at optimum feeding rate could be estimated by 0.052C〓. The relationship between total energy content for immature gibel carp and body weight was lnE=1. 476+1. 127lnW.

最大摄食率条件下，异育银鲫排粪能损失：F=0.077C，排泄能损失：U=0.052C；由于排粪能及排泄能在能量收支方程中所占比例不大（崔奕波等，1997），最适摄食率条件下的排粪能损失可估计为F〓=0.077C〓（C〓：最适摄食能，KJ/d），排泄能损失可估计为U〓=0.052C〓；性未成熟异育银鲫的能量含量与体重的关系为：lnE=1.476+1.127lnW

We found that CTC in chicken feces were nearly seldom degraded in photophobic condition.After 15 days, the degradntion rate of CTC at three different concentrations was 5.93％, 7.36％, 6.20％,respectively. But under the natural illumination, the degradation of CTC in chicken feces was very fast.After 15 days, the degradation rate of CTC at three different concentrations was 98.62％, 89.53％,95.98％, respectively.

在避光条件下鸡粪中的金霉素都比较稳定，经过15d的降解，三个不同初始浓度的药物降解幅度分别为：5.93％、6.20％和7.36％；而在自然光照条件下，鸡粪中金霉素降解都较快，在15d的试验期内，降幅达到89.53％、95.98％和98.62％，将鸡粪中金霉素浓度随时间的变化趋势进行曲线拟合，可知这种变化趋势符合一级动力学方程Ct=C_0e~。

A sufficient condition ensuring the Gauss-Newton method quadratically convergent exactly is given.

给出了保证Gauss-Newton法恰2阶收敛的条件，在此基础上构造了利用条件预优共轭梯度法求解Gauss-Newton方程的新的有效算法。

We extend L_P space to the multiple or multivariate space, then the expression of the refinement equation and the conditions of its convergence is different. Therefore, the conditions of characterization of smoothness of the refinable function is more complicated.

将L_p空间扩张到多重及多元多重空间，则细分方程的表示形式以及收敛的条件有了变化，相应地，对细分函数光滑性的刻画所需要的条件也变得复杂起来。

From these dynamic solutions, frequency and mode shapes of sectorial plate and sectorial annular plate under boundary conditions of GSS and GRS are derived. The three-dimensional exact solutions of the displacement, electric potential, magnetic potential, stress, electric displacement and magnetic induction of equilibrium problems are also obtained.

由动力学的一般解，导出了扇形板和扇形环板在广义弹性简支和广义刚性滑动边界条件下自由振动的频率方程和振型；并得到了平衡问题的扇形板和扇形环板在两种边界条件下的位移、电势和磁势，应力、电位移和磁感应强度的三维精确解。

The aim of this thesis is to study the existence of positive solutions of boundary value problem for nonlinear second order ordinary differential equations , mainly using the fixed point index theory in a cone. The conditions of the existence of positive solutions of the boundary value problem are given in the thesis. We improve the result of the existence of positive solutions either in the sublinear or in the superlinear conditons.

本文主要利用锥上不动点指数定理，解决非线性二阶常微分方程边值问题的正解的存在性问题，并给出了边值问题正解存在的条件，改进了次线性和超线性条件下正解存在的结论。

In order to understand the mechanism of pollution process around insulator under the wet condition better,based on the principle of computational fluid dynamics CFD, the numerical model,which was used to analyze three-dimensional two-phase uncompressible turbulent flow field around composite insulator in wet weather and convection-diffusion of dust particles,was established.Then,the dynamic simulation of the general approach,which was used to analyze solid dust particles' wet deposition process around composite insulator with application of CFD software-Fluent,was proposed.

为深入了解绝缘子外部在湿润条件下的积污机理，基于计算流体力学原理CFD建立了求解湿润气象条件下复合绝缘子外部三维两相粘性不可压缩湍流流场的基本控制方程组和尘埃颗粒对流扩散的基本方程，提出应用CFD软件Fluent可对复合绝缘子表面固体尘埃颗粒湿沉降过程进行动态模拟的一般方法。

In the condition of 100℃,it could make use of regression equation in order to optimize degumming technology conditions and forecast the content of pectin. It is important to improve the spinning performance of hemp fiber.

利用此回归方程可以在100℃的条件下优化脱胶工艺条件，预测大麻纤维的果胶含量，对提高大麻纤维的可纺性具有重要的意义。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新