查询词典 series 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。

Have already perplexed people for morethan 100 years. In order to have solution of quantum mechanics problem, I have spent 43years in these issues. I thought that I have perfectly resolved a series of "hypothetical problem" of the quantummechanics, giving a quite good answers to a series hypothesis like quantum, Planckconstant, De Broglie relation, uncertainlyrelation, electron angular momentum etc. The answer is that Quantum mechanicschange into "Electronphysics". This is a greatleap in the development of physics.

为了解决量子力学问题，我已花了四十三年时间，自认为已经相当完美地解决了量子力学的一系列"假设"问题，对于量子、普朗克常数、德布罗意关系、测不准关系、电子角动量等一系列假设已经给出了相当好的答案，使量子力学转变为"电子物理学"，这应是物理学发展的一次大飞跃。

The optimal and worst solutions of each objective function are obtained, and the solution with the earliest start-time under the fewest number is found. A series of noninferior solutions that have the earliest start-time are obtained after increasing the number of selected depots continually. The original model can be converted to search for a solution that has maximum approximation degree of positive-negative perfect point.

分别求出各个目标函数的最优解和最劣解，寻找使出救点个数为最优情况下使应急开始时间最早的解，在此基础上增加出救点的个数继续寻找，并将备选出救点集合缩小为运输时间小于上一次应急开始时间的出救点；得到一系列非劣方案后，对各目标函数按照具体情况赋予一定的权重，将原问题转化为求解使正负理想点接近度最大的非劣调度方案。

Artificial tree, street lamp pole, bill-board series beautify 1 dustcoat solution of the aerial, design 1.1 aerials of concept to be suitable for polarising the ordinary aerial alternately, electricity transfer aerial 1.2 suitable for honeycomb base station communication system and room cover with system 1.3 swivelling lamp pole then 1.4 direction to regulate sector good visual 1.5 sense extremely The urban road, the highway, suburb street lamp, the solution 2 of environment design that the house is lighted,etc., radiation material choose and design 2.1 material to select for use high purity compound glass fibre reinforced plastic fiber 2.2 steel construction choose zinc-plated stainless steel material 2.3 materials measure by the speciality, radiation losses extremely small

1，设计概念 1.1天线适用于交叉极化普通天线，电调天线 1.2适用于蜂窝基站通讯系统及室内外覆盖系统 1.3可旋转灯柱进而调节扇区的方向 1.4极佳视觉感 1.5为城市道路，公路，郊区路灯，住宅照明等环境设计的解决方案 2，辐射材料选择与设计 2.1材料选用高纯度复合玻璃钢纤维 2.2钢结构选择镀锌不锈钢材料 2.3材料经过专业测量，辐射损耗极小

Thesolutions compose self-contained inner product space (weight function is constant 1),i.e., they are basic series of Hilbert space; hence any internal waves could beexpanded into generalized Fourier series. With difference method, Sturm-Liouvilleequation is transformed to matrix eigenvalue problem. Each eigenvalue is related to ahorizontal wave number, and relevant solution is a certain mode of internal wave.

其解系构成完备的加权(权函数为1)内积空间，即Hilbert空间，从而内波现象可以展成该解系的广义Fourier级数；采用差分方法，将 Sturm-Liouville 方程转化为矩阵特征值问题，每一个特征值对应一个内波波数，该特征值对应的解则是内波的某一模态。

The changes of freezing point and super-cooling point of a series of PM vitrification solutions was investigated in the process of slow freezing at a ratio of 5℃/min. This experiment showed that the vitrification solution over 41% had not freezing point, while the vitrification solution under 40% had freezing point and could ice.

对PM系列玻璃化液在5℃/min慢速降温过程中冰点、过冷点的产生和变化进行研究，发现浓度在41%以上的玻璃化液降温时不产生冰点结晶，而40%以下玻璃化液在慢速降温时在冰点出现了结晶。

Three elements should be calculated in first-order circuit, which can synthesise analytical solution. Second-order series RLC and parallel RLC both can be calculated by the general function, which uses the Matlab to calculate differential equations. Generally, second-order and high-order circuits use Laplace transformation to formulate circuit equation, and get analytical solution by using Laplace inverse transform.

一阶电路先计算3要素，后合成解析结果；RLC串联和并联的二阶电路采用自编的通用函数计算，自编函数采用了Matlab求解微分方程的符号运算方法；一般的二阶电路和高阶电路采用拉氏变换列写电路方程，再用拉氏反变换得到解析结果。

Now by using Dai's exact solution formula and studying the asymptotical behavior controlcondition and using the series expression of the famous Riemann Zeta-function in number theory,after introducing and proving a new representation theory of inverse Laplace transformation wedirectly obtained Chen's solution formulae and their unique existence condition without usingLaplace transformation and〓 inverse formula.

本文从带消发散参数的严格解出发，通过研究渐近行为控制条件，利用数论中著名的Riemann-Zeta函数的级数表示，引入并证明一个逆Laplace变换的新的表示定理，直接导出了陈等发展的级数解，并得到了级数解的存在、唯一性条件。

First of all, this study will be multi-walled carbon nanotubes by chemical oxidation process purified so it can be modified to deal with than the purification of purity before the modified 5 wt%, more than 1.89 times the surface area to increase the surface potential decrease of about 10 ~ 20 mV and the surface functional base (-COOH and-OH) to increase 1.45 times, and then the control technology of electroless preparation parameters include: analysis of plating time, plating analysis of temperature, metal ions in solution than the (Fe2+/ Ni2+), bath pH and the added value of dispersion Agent and other research towards Fe-Ni particles to increase the iron content and Fe-Ni particles spread in the MWCNT upper fixed targets,the results found that when the parameters for the preparation of 50 ℃, pH10, do not add dispersant, metal ions than the solution (Fe2 +/ Ni2 +) 7, the highest iron content can be Fe = 40.55 at%(flat iron content 111.17 mg / g) of nanocomposites Fe-Ni/CNT, then for a series of the nature of its analysis, the final evaluation Fe-Ni/CNT nanocomposites were processed on the effectiveness of the application of mixed pollutants, the results showed that in 120 minutes at the same time when Adsorption of heavy metal ions lead nitrate 10 ppm, selenium heavy metal ion degradation of 1 ppm and orange azo dye AO7 50 ppm standard of effluents, and after a total Fe-Ni nano-particles to SEM / EDS analysis of more than 50% still remaining.

本研究首先将多壁奈米碳管以化学氧化法做纯化改质处理能使其纯度较纯化改质前提高5 wt％、比表面积提高1.89倍、表面电位下降约10~20 mV以及表面官能基提高1.45倍，再控制无电镀技术之制备参数包括：析镀时间、析镀温度，镀液中金属离子比(Fe2+/Ni2+)、镀液pH值及是否添加分散剂等，研究朝提高Fe-Ni粒子的含铁量与Fe-Ni粒子散布固定在MWCNT上等目标进行，研究结果发现当制备参数为50 ℃、pH10、不添加分散剂、镀液金属离子比(Fe2+/Ni2+)7时，可得到最高铁含量Fe = 40.55 at％(单位铁含量111.17 mg/g)之奈米复合材料Fe-Ni/CNT，接著对其作一系列性质分析，最后评估奈米复合材料Fe-Ni/CNT对共处理混合污染物之应用效益，结果显示其在120分钟时能够同时吸附重金属硝酸铅离子10 ppm、重金属硒酸根离子1 ppm及降解偶氮橘色染料AO7 50 ppm达放流水标准，且共处理后奈米Fe-Ni粒子以SEM/EDS分析仍剩余50 %以上。

The detailed comparisons between the higher—order near tip solution and the well—known modified Prandtl field are also given in this paper.For the compressible materials, in order to satisfy the higher-order compatibility equation of the rate of deformation in the centered fan sector, which is a quite difficult problem unresolved in the previous studies, a particular term must be added to the expansions of the stress components in the regular logarithmic power series adopted by many researchers before. A higher-order near tip field with tangential velocity jump ahead of the crack tip is derived first, of which the dominant terms are the solution widely accepted.

对可压缩材料，本文首先采用非规则的对数幂级数渐近展开方法，克服了过去研究中存在的中心扇形区变形率协调方程的高次渐近式不能被满足的困难，并得到了一个切向速度在裂尖前方存在间断的高阶渐近解，该解的主项就是目前被广泛接受的关于可压缩材料的尖端场解。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。