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According to the Logistic Equation and the impact of stochastic factors, a stochastic nonlinear dynamical model had been presenred. The max Lyapunov exponent was calculated by Oseledec multiplicative ergodic theory, the local stability conditions had been obtained; the global stability conditions had also been obtained by judging the modality of the singular boundary; the stochastic Hopf bifurcation was analyzed using the invariant measure of stable probability density, and the condition of stochastic Hopf bifurcation had been discussed. The key parameter impacting the urban domestic water consumption had been found by numerical emulation.

根据Logistic阻滞增长模型原理，考虑到诸多随机因素的影响，本文建立了一个城市生活用水量的随机非线性模型，运用Oseledec乘性遍历定理计算了模型的最大Lyapunov指数，得到了局部稳定性的条件；通过对扩散边界性态的分析，得到了全局稳定性的条件；通过分析系统平稳状态概率密度的不变测度，得到了模型随机Hopf分岔的条件，结合实际进行了数值仿真，得到了影响用水量的关键参数。

The formation process and numerical simulation study about the fan delta in Baimiao gas field constitutes the second key point of this paper.

白庙气田扇三角洲形成过程的数值模拟研究是本论文的第二个重点。

Since 1950 s, the research of numerical method for hyperbolic conservation laws is one of key research directions in computational mathematics. The finite difference method, specially TVD and ENO schemes, for hyperbolic conservation laws are very successful.

双曲型守恒律方程数值计算方法的研究，是二十世纪五十年代以来，计算数学中的一个重要研究方向。

In order to solve these problems, causes the processing process automation, tries to design one special-purpose numerically-controlled machine tool -- numerical control gear cutter, uses in key piece tooth which the milling locks, locks the factory satisfiedly the production need.

为了解决这些问题，使加工过程自动化，试设计一种专用的数控机床——数控铣齿机，用于铣削锁的钥匙片齿，以满足锁厂的生产需要。

A quick and correct forecast of tidal current when oil spill occurs is a key step in the forecast of oil spill. Based on the harmonic constant of tidal component of M2, S2, O1 and K1 in Lingshan Island, Laoshantou and Chaolian Island, and by using harmonic method, the thesis first conducts a current forecast in a single point, and then builds up a current field forecast in Jiaozhou Bay and its adjacent seas. The computed results match well with the actual situation. The method reduces greatly the time of real time current forecast by not using numerical stimulation, so it fit to the two requirements of quickness and correctness in oil spill forecast system.

迅速准确地预测出溢油发生时的潮流情况是溢油环境预测的根本保证，因此文中根据灵山岛、崂山头和朝连岛三处M2、S2，、O1和K1四个主要分潮的调和常数资料，采用调和的方法进行单点的潮流预报，进而建立了胶州湾及邻近海域的预报潮流场；该方法的潮流预报结果与实际情况吻合良好，且因避开了数值计算过程而大大减少了流场实时预报的机时，符合溢油应急预报系统所要求的准确与快速。

The algorithm for body-fitted coordinate grids generation is one of the key techniques of numerical simulation in hydrokinetics.

贴体坐标网格生成算法是流体动力学等领域中进行数值模拟的关键技术问题。

Among them very multinomial and direct or indirect design reachs relevant industry to sensor, detailed situation is as follows: The computer reachs peripheral equipment: Hold pattern recognition of GPS receiver, graph and processing system; Microelectronics and photoelectron yuan parts of an apparatus: Cadmium of parts of an apparatus of coupling of CCD photoelectricity carry on one's shoulder, tellurium is mercuric , infra-red detector; CMOS image sensor; Communication equipment reachs a product: Smooth communication is metric with the instrument that monitor; Civil spacecraft reachs ground facilities: Spacecraft is lukewarm control a product; Automation machinery reachs device: Industrial robot and intelligent robot; Electromechanical key foundation: Intelligent air cylinder, intelligence changes model carapace breaker (voltage 380V, 660V, voltaic 1000A), prevent adopt device of dead apply the brake , the electron controls vehicle of the automatic gear-box, dynamoelectric steering gear that help strength, car to carry diagnostic system, gasoline engine electronic-controlled engine of device, derv is electronic-controlled car of device, alternative fuel changes device, car; Instrument appearance reachs a system: GPS car fixed position, monitoring calls the police attemper system, colliery installs all inspection to measure general management system, hydroelectric station to monitor control system, automatic cruise automatically to control a system (the car is auxiliary drive system), the electron collects fees administrative system (ceaseless car electron pays cost the system), two-phase; New-style medical apparatus and instruments: Medical sensor; Inorganic metalloid material: Component of the pottery and porcelain that suppress report, lukewarm characteristic thermal resistor ; New-style the sources of energy reachs equipment: The solar battery reachs package; The environment monitors an instrument: Monitor appearance, CO automatically to monitor appearance, automatic acid rain automatically sampler and determine appearance, soot, dust is automatic sampler and determine appearance, flue gas is automatic sampler and determine steam of end of appearance, car determines automatically appearance, portable poisonous and harmful gas determines quality of air of type of appearance, flow; The exploration of the sources of energy and mineral products resource develops device: MWD is followed get oil of logging instrument, numerical control monitor below well of deep well logging instrument, colliery reach calamity to forecast; The project measures and equipment of earthly physics observation: Project acceleration measures system, much general to strap weather radar (use be concerned with or double polarization technology), intelligence atmosphere sensor (contain lukewarm, press, irradiation level of wet, wind, precipitation, dew point, sun), personal computer control is automatic and perpendicular artesian well system , marine atmosphere; 1 2 of on one page issues one page

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Real time and multitask are the key technologies which are used in the Bending Machine numerical control system.

其中，实时多任务技术是在拉弯机数控系统中用到的关键技术，实时多任务性能的优劣直接影响整个系统的运行的稳定性、安全性以及工作效率。

In engineering computation and numerical analysis,it is one of the key problems to obtain the roots of higher degree equation.

1引言一元高次方程的求根问题是工程计算和数值分析经常涉及到的一个重要问题。

Unfortunately, due to lack of time, the numerical error and stability analysis which is the key to developing accurate and robust algorithms are only treated superficially in the MIT undergraduate curriculum.

不幸的是，由于时间不足够，数值误差和稳定性分析是开发准确可靠的算法的关键，而它们只是很浅显地在麻省理工学院的本科课程涉及到。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。