查询词典 difference equation

Based on the research, this dissertation has studied the M/G/1 and GI/GI/1 queueing systems, and drew the following conclusions: Firstly, we present the equation which satisfies the transient distribution of the lengthof L(T,θ1,θ2 for GI/G/1 queueing systems, and proves that the lengthL(t,θ1,θ2 for GI/G/1 queueing systems satisfy two types of equation, and aretheir minimal nonnegative solutions. Furthermore, we give out not only the expression of Laplace transformation, but also the expression of Laplace transformation of busy-idle period, as well as the equation that satisfies the waitingtime of W

第一，首先给出了GI／GI／1排队系统队长L(t，θ_1，θ_2的瞬时分布所满足的方程，证明了GI／GI／1排队系统队长L(t，θ_1，θ_2的概率分布满足二种不同方程，并且是这些方程的最小非负解，进一步给出了其拉氏变换的表达式，还给出了闲忙周期的拉氏变换的表达式，同时对等待时间W(t，θ也作了同样的处理。

Four simultaneous basic equations, i.e., equation of interest rate and amount of circulating fund, equations of purchasing and selling of share, equation of changing rate of share price, and equation of interest rate,share price and its changing rate, have been established.

建立四个基本的联立方程，即利率_流通量方程股票买入、卖出方程股价变化率方程以及利率、股价及股价变化率方程。

The ammonia volatilizing of fertilizer is suit to the dynamic equation as Y=a+bt, thecoefficients in the equation are related to the kind of fertilizer, temperature and water content of soil, and the dynamic equation about ammonia volatilization including water and temperature and the is developed.

肥料氨累积挥发量符合零级反应动力学方程Y=a+bt，方程中系数与肥料种类、温度和土壤含水量有关，碳铵a、b值均比硫酸铵高，土壤含水量增大，a、b值降低，温度升高，a、b值增大，并由此得到含温度或土壤湿度因子的肥料氨挥发动力学方程，并建立了含水、热因子的肥料氨挥发水热耦合效应动力学方程。

In practical work, we can fit the empirical equation of regression according to least square method when we use the old data, and needs to make the Real-time treatment for new acquired data in the light of the equation, namely, we need combine new acquired data with the original data, then infer the new empirical equation of regression.

在实际工作中，当我们用旧数据根据最小二乘法拟合出经验回归方程后，常常获得一些新的数据，需要对新获得的数据进行实时处理，即要把它和原有数据结合在一起算出新的经验回归方程。

From the Maxwells equations in integral form directly, the Maxwell Grid Equations are derived through discretization of the solution space and the equations, and thereout the common equation of arbitary structures. Secondly, the solution uncertainty of a common electro-magnetic equation is proved and a strategy is advised to get the unique solution of the finite integration equation.

直接从积分形式麦克斯韦方程组出发，通过空间离散与方程离散得到麦克斯韦网格方程组，由此得到任意结构的一般方程；深入分析了麦克斯韦网格方程组的代数特性，论证了其解的不确定性，并指出了一种可避免解不确定性的措施。

Finally, the wave equation of the electromagnetic field of this kind damper isderived from the Maxwells equation. The magnetic flux density at the boundary isassumed to be harmonic, so the analytical result of the wave equation is solved. When therotor rotates, eddy currents flowing inside the conducting material field are caused. Thetangential force acting on the rotor because of the action between eddy currents andmagnetic field is produced. The tangential force causes a retardation torque, which leadsto the increase of power and heating effects.

最后，应用Ahrens的电磁轴承简化模型，从Maxwell方程出发推导了应用于本文所述的被动式电磁阻尼器的波动方程，并用傅立叶级数把矩形磁场展开的谐变磁场作为磁场的边界条件，通过求解波动方程得到磁场的解析解，从而计算了阻尼器对转子的电磁力和由涡流引起的切向力产生的阻尼器附加功耗。

The objects of study in this paper are some dissipativeSchrodinger equations,including a third order nonlinear Schrodinger equation with fiberloss term which derives from the propagation of optical soliton in a monomode fiber,theweakly damped Schrodinger equation in dimension three,the nonautonomous Ginzburg-Laudau equation and so on.

本学位论文的研究对象是一些耗散型的非线性〓方程，包括描述单模光纤中光孤立子传播的三阶〓方程，三维弱阻尼〓方程和非自治Ginzburg-Landau方程等，研究内容涉及这些方程的整体解的存在唯一性，整体吸引子的存在性，吸引子的正则性，吸引子的维数估计，吸引子的流形逼近，周期解和全局周期吸引子的存在等等。

The correlation analysis and stepwise regression between physiological characteristics of three species and environmental factors showed that the regression equation of Platycladus orientalis between photosynthetic rate, transpiration rate and the environment factor was P(subscript n=0.006PAR+1.176RH, E=1.120T; the regression equation of Pinus tabulae formis was P(subscript n=0.010PAR, E=1.004T+0.482RH; the regression equation of Tamarix chinensis was P(subscript n=0.015PAR, E=0.757T+0.566RH-8.397G.

对3种树的光合速率和蒸腾速率与影响因子进行相关分析及逐步回归分析表明，各树种光合速率和蒸腾速率的回归方程分别为，侧柏：P=0.006PAR+1.176RH，E=1.120T；油松：P=0.010PAR，E=1.004T+0.482RH；柽柳：P=0.015PAR，E=0.757T+0.566RH-8.397G。

Based on Combination of the MMF equation and the branch current equation, an expanded equation about the winding currents and current-limiting reactances is obtained. According to the feature that the control windings are short-circuited in turn, the current-limiting reactances are calculated for each control winding step by step.

把磁势平衡方程和支路电流方程相结合，推导并得到了关于绕组电流和限流电抗的增广方程，再根据控制绕组顺次短路工作的特点，提出了CRT的各级限流电抗值的一种递推算法。

The problems of the heat transfer equation of cloud drop growth were analyzed from chemical potential and principle of phase equilibrium of multi-component system. It was pointed out that Clapeyron equation was the result gained under the condition of rigid phase equilibrium. It only shows the linear relation between steam press and temperature at saturation state, and does not show that there is any thermodynamic process which can meet this equation.

基于多元体系化学势和相平衡原理，分析了云滴长大热传导方程存在的问题，指出克拉伯龙方程是严格相平衡条件下推导出的结果，仅表示饱和状态下蒸汽压与温度之间的线性关系，并不表示存在满足克拉伯龙方程的热力学过程。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。