查询词典 particular solution

The paper presents a linear transient solution for the solitary wave generated by a piston-type paddle in a finite flume based on the boundary condition derived by Dean and Dalrymple (1991). The wavemaker problem is simplified by decomposing the wave potential into two parts. One is the evanescent wave and the other is progressive wave. The possible solution for the evanescent wave is expressed in form of the Fourier series.

本文根据Dean与Dalrymple（1991）描述造波水槽内部之线性边界条件，将水槽内部之流速势分为振荡波与前进波以简化问题，再以Fourier级数展开，可将问题化为二非齐次常微分方程式，在给定造波初始条件的情况下即可解析有限长度造波水槽自静止开始造波一段时间后停止之线性暂态解。

In order to analyze the influence of filled metal particles on impact force for hydraulic pile hammer, analytical solution of mathematic model for pile hammer filled with metal particles considering effects of metal particles was presented. In the solution, lumped mass were used as metal particles, a spring was used as contact stiffness between metal particles and hammer body, different variable lumped masses were used as pile hammer, the ram and anvil, a spring and a dashpot were used as the anvil cushion and pile respectively.

为分析填充金属颗粒对打桩锤锤击力的影响，考虑填充金属颗粒的作用，用集中质量块表示填充的金属颗粒，用弹簧模拟金属颗粒与锤体相碰处的接触刚度，用不同的集中质量块表示桩锤、砧座和桩帽，用并联的弹簧、阻尼器表示锤垫，用弹簧表示桩垫，用阻尼器表示桩，建立了平衡方程。

The CC solution with 7% mass fraction was exposed to solution spinning in presence of 7% dilute sulfuric acid as coagulation bath after filtration and deaeration.

探索了尿素对纤维素氨基甲酸酯/氢氧化钠溶液的增溶作用，考察了不同浓度CC溶液的流变性能，选择CC质量分数为7%的溶液经过滤、脱泡后，以7%的稀硫酸为凝固浴进行溶液纺丝。

A way of TOPSIS for multiple target decision is applied to space with matrix elements,and we can make comprehensive evaluation of information system according to the relative distance between evaluation index matrix and best solution matrix and worst solution matrix.

再将多目标决策中的逼近理想解法应用到以矩阵为元素的空间中，按照与理想解和负理想解的相对接近度去对信息系统作出综合评价。

TOPSIS for multiple target decision is applied to space with matrix elements, and we can make comprehensive evaluation of enterprise economic benefit according to the relative distance between evaluation index matrix,best solution matrix and worst solution matrix.

将多目标决策中的逼近理想解法应用到以矩阵为元素的空间中，按照评价点与理想解和负理想解的相对接近度对企业经济效益作出综合评价。

The lower optimal solution is also influenced by the upper decision variable, which is feed back to the upper level, furthermore influence the upper programming problems optimal solution.

下层问题的最优解又受上层决策变量的影响，其解反馈到上层而影响上层规划问题的最优解。

According to the characteristic of the inverse problems of ECT, the minimum norm solution was improved using regularization technique , and the stability of the numerical solution was analyzed via singular value decomposition principle.

在分析极小范数解的基础上，针对电容层析成像逆问题的特点，利用正则技巧对其进行改进，并利用奇异值分解定理分析了这种改进的数值稳定作用。

In this paper another deductive proof of the algorithms for the recursive solution of the system of linear equations with a Toeplitz coefficient matrix is considered, and formulas for the specific recursive solution of the various forms of the system of linear equations in accordance with a Toeplitz coefficient matrix are given.

本文给出了具有托布里兹系数矩阵线性方程组递推解法算式的另一推导证明方法，并给出了基于托布里兹系数矩阵的各种线性方程组的具体递推解法公式。

In this study, the vendor production process is assumed to deteriorate during processing and produce a certain number of defective items. Then, a mathematical model is derived and a solution procedure is established to find out the best solution when the vendor is a leader and the buyer is a follower.

本研究假设卖方的生产系统为一个不完美生产的状况，依此进行数学模式之推导，探讨当卖方为领导者、买方为跟随者时的最适决策方法。

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。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48