精确

The first part presents develops of predator-prey systems and gives the model that is investigated in our paper; Chapter 2 presents the results on boundedness of solutions and permanence of system; In chapter 3, we explicitly derive a domain of attraction for the positive equilibrium of system by using Liapunov method; The local stability and the conditions that Hopf bifurcation occurs are obtained in chapter 4; In chapter 5, some explicit fomulae of the direction of Hopf bifurcation and the stability of bifurcating periodic solutions on the center manifold are determined,using normal form and center manifold introduced by Hassard et al; In chapter 6, some numerical simulations are performed to illustrate the analytical results found; Our paper ends with a brief conclusion.

全文共分七章，第1章对捕食-食饵系统的发展背景做了介绍并给出了本文研究的模型；第2章讨论了系统的保持性和解的有界性；第3章研究正平衡点的全局性质，对正平衡点的吸引域进行了精确估计；第4章研究了系统的正平衡点的局部稳定性和Hopf分支存在的条件；第5章利用规范型和中心流形定理得到了一个决定Hopf分支方向、分支周期解的稳定性及其他性质的精确公式；第6章对一个具体模型进行了数值模拟；第7章对全文进行了总结。

Materialisation mediums have been placed on delicate scales and then asked to produced ectoplasm onto another set of fine scales.

物化灵媒被置于精确的秤上，然后被要求在另一架精确的秤上生成流质。

By using the homogeneous balance principle and Hermite transform, various kinds of exact solutions to a stochastic nonlinear evolution equations can be algebraically obtained in terms of the exact solutions of heat conduction equation with variable coefficients.

利用齐次平衡原则及厄尔米特变换，借助于变系数热传导方程的各种精确解，用代数的方法获得了一随机非线性发展方程组的各种精确解。

The staircase-like increasing of 〓 obeys an exact differential gap equation, which can be solved analytically.

s的阶梯式增长服从一个精确的隙距方程，该方程有精确解。

In this paper,by using the idea of F-expansion method (where F is a known solution of an ordinary differential equation with fourth positive power nonlinearity),the problem of seeking the exact solutions of the generalized BBM equation with any positive power nonlinearity is changed into seeking the exact solutions of an ordinary differential equation with fourth positive power nonlinearity.

利用F-展开法的思想(F是一阶四次常微分方程的一个解)，将求含有任意次正幂项非线性广义BBM方程的精确解转化为求一阶四次常微分方程的精确解。

The solution is exact insofar as the model of the sphere is exact.

只要球的模型是精确的，这种解释就是精确的。

In addition, the algorithm has comprehensive potential application in computer graphics, computational geometry and so on. To fast and precisely select nodes and elements, some transformation functions which are implemented substitute the OpenGL's API functions, then facilitate dynamic interactive query.

为了精确、快速的选择节点和单元，作者通过对OpenGL拾取选择技术内部实现细节的深入分析，开发程序实现了一些变换函数，解决了OpenGL提供的API函数不能对节点单元的精确任意拾取的问题，并实现了节点单元的动态交互查询。

It would take an infinitively large database to capture the real world precisely data must somehow be reduced to a finite and manageable quantity by a process of generalization or abstraction.

为了获得真实世界的精确数据将需要一个无限大的数据库，但由于某种原因，这些精确数据必须通过概括或提取过程减小为有限且可以管理的小数据。

High Quality Components: anti-friction bearings fsmooth operation with lower horsepower; front rear bearings fprecise cranksLSEft alignment long sLSEft life; fully enclosed, all metal fan-blade guard; fly wheel precision-balanced fan-bladed fexcellent cooling capacity; heavy duty, sLSEft-driven, gear-type oil pump fgenerous lubrication to critical wear areas flonger pump life; stainless steel, disc-in-plate valves flong wear excellent heat resistance dissipation; valve housings nickel-plated fcorrosion resistance.

高质量部件：低摩擦轴承提供平滑的运行并降低功耗。前后轴承提供精确的曲轴对中，延长曲轴寿命。全封闭风扇防护罩。飞轮经过精确平衡并带有风扇叶片，提供极好的冷却能力。重载型曲轴驱动齿轮式油泵为磨损区域提供充足的润滑。不锈钢阀片耐磨损，散热性好。阀座采用镀镍处理，耐腐蚀。

Automatic collimation of norm pole was realized by precisely halving norm pole on the method of subpixel on former gray image.

对原图像灰度化，在标杆区域内利用像素细分法最终精确平分标杆，实现标杆的自动精确瞄准。

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性，但我大喊，并在他们的方向扔石头让他们过的线索，远离我，以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。