查询词典 solution curve

For the application of Mathematica in the differential geometry,this paper introduces how to processe the curve curvature and the torsion questions,the graphic expression of the curvature and the torsions,and draw curves by the curvature and the torsions. Curvature ; torsion ; solution curve ; osculating plane ; natural parameter ; natural equation

利用Mathematica，只要输入有关系统命令就可以得到期望的结果。1曲率和挠率及其图形意义假设R3上的曲线一般参数表示为r=r它的曲率和挠率计算公式是：κ=‖r′×r&‖‖r′‖3τ=‖r′×r‖我们知道，空间曲线r=r在一点(s=s0)邻近的近似方程为ξ=sη=120κs2ζ=160κ0τs3通过近似方程可以确定曲线在其基本三棱形的三个平面(即密切平面，法平面，从切平面)上的投

The main contents of this course include: introduction, extraction of root from an equation, numerical solution of a system of linear equations, interpolation method, the method of fitting of a curve, numerical integration and differentiation, numerical solution of a differential equation, one-dimensional search method of extreme value problem, etc.

本课程包括以下内容：绪论、方程求根、线性方程组数值解法、插值法、曲线拟合法、数值积分与数值微分、微分方程数值解法、极值问题的一维搜索法。

Table 2 Solution provided through ESA for the example given in Fig. 4 Gaussians parameters Final solution of Gaussian curve fitting Fig.

2表格解决办法通过ESA 给在图给4 Gaussians 参数最后适合图4的Gaussian 曲线的解决办法的例子提供。

Methods: In accordance with conventional reporter gene analysis reagent preparation method, the main component Luciferase, Luciferin and ATP were serial diluted to find the optimal concentration; Reaction solution was prepared according to the optimal concentration of the main component, then ATP were serial diluted to measure their reporter gene. Then standard curve of ATP were drawed. Tumor cell lines H1299 were serial diluted and their ATP were measured by reaction solution prepared to analyse the minimum cell number.

按照常规报告基因分析试剂配制方法，将其中主要成分Luciferase和Luciferin及ATP浓度进行倍比稀释后找到最适合反应的最佳浓度值；按照最佳浓度配制反应液，将ATP浓度倍比稀释测定报告基因数值并绘制标准曲线，分析检测灵敏度；另外选取肿瘤细胞株H1299，倍比稀释后裂解细胞应用配制好的反应液进行ATP检测，分析最低检测细胞数。

Activated carbon fiber ; fixed-bed ; adsorption ; breakthrough curve ; exact solution ; approximate solution

活性炭纤维；填充床；吸附；突破曲线；精确解；近似解

From LS method and singularity theory GS normal form of the circuit bifurcation solution is obtained, and that noly one circuit solution curve exists near bifurcation point is proved.

利用LS约化方法和奇异性理论，导出了非线性电路解分岔的GS范式，证明了电路转折分岔解附近只有唯一一条解曲线。

The error compensation is introduced in the interpolation algorithm to increase the interpolation point's solution precision of the parametric curve, and the reasonable simplification of the compensation expression is carried in the solution process to decrease the calculation load of interpolation.

通过引入误差补偿值以提高参数曲线插补点的求解精度，在求解过程中对误差补偿值进行合理简化以降低插补计算量。

To the separatory funnel in 10 ml acetate buffer and dispensable 1 ml of sodium thiosulfate solution, blending, followed by a second all-Canadian 10.0mL tetrachlorocarbon dithizone-0.01g/L solution, vibrating 2min, standing out carbon tetrachloride layer to 1 cm chromatometry Cup, zero-zero, adjusting to 520nm wavelength measuring the absorbance at, draw a comparison between the quantitative standard curve.

向各分液漏斗内加5mL乙酸盐缓冲液及1mL硫代硫酸钠溶液，混匀后再各加10.0mL二硫腙－四氯化碳溶液(0.01g/L)，振摇2min，静置分层，分出四氯化碳层于1cm比色杯中，以零管调节零点，于520nm波长处测吸光度，绘制标准曲线比较定量。

King-used washing machines Lower absorption law, the use of detergent added to the aqueous solution is in use at the same time fume emission will usually automatically with the aqueous solution of emulsifying oil mist and saponification reaction also been placed material washing down fuel from combustion of hazardous substances and cooking process generated fumes from aqueous solution by the majority and purification.

水帘式净油烟机采用洗涤吸收法，利用添加有洗涤剂的水溶液，在吸排油烟的同时自动将雾化的水溶液与油雾发生乳化和皂化反应，烟尘也同时被润湿洗涤下来，燃料燃烧时产生的有害物质及烹饪过程中产生的油烟绝大部分被水溶液中和净化。

The Frechet derivative of the cost function is determined via the solution of an adjoint partial differential equation, and the boundary shape is then modified in a direction of descent. This process is repeated until an optimum solution is approached. The advantage is that the cost function variation is independent of the flow field variation, with the result that the gradient of cost function with respect to arbitrary number of design variables can be determined without the need for additional flow-field evaluations. So each design cycle requires the numerical solution of both the flow and the adjoint equations leading to a computational cost roughly equal to the cost of two flow solutions.

虽然他们的研究成果大多数都可以在公开性文献上看到，但是其中一些具体的细节问题的处理方法却没有透露，比如：伴随方程如何离散求解才能减小最终梯度计算中的误差，使得设计过程有效地进行；伴随方程与流动方程的边界条件是不同的，如何合理地处理伴随方程的边界条件，才能推动设计过程朝着设计目标而发展；在减阻问题中目标函数如何定义，求解梯度的具体数学公式如何推导，如何通过数值方法来实现它们等。

A historical region of southwest France between the Pyrenees and the Garonne River. The duchy of Aquitaine was joined with France after the marriage of Eleanor of Aquitaine to King Louis VII in1137, but its possession was disputed after her subsequent marriage to Henry II of England.

阿基坦法国西南部一个历史地区，位于比利牛斯山和加隆河之间，在1137年阿基坦的埃莉诺与国王路易斯七世结婚之后阿基坦公国加入法国，但当她再嫁英国亨利二世后，其归属权便受到争议

There are moments when I look at the smiling , happy faces of my expectant staff and wonder how they will cope when confronted by an outraged housemaster along with an unrepentant and recalcitrant bleached blond teenager in 18 years ' time .

有时候，我看着那些满怀期待的员工微笑，幸福的脸，想着当他们遇到一位愤怒的宿舍管理员和一位不知悔改，叛逆，而且将头发染成白色的18岁少年时，他们会如何处理。