三次方程

With SPSS software to simulate the relationship between soil moisture content and soil depth,the correlation was obvious and the equation type was cubic parabola curve.

用SPSS统计软件进一步对土壤水分与土层深度的关系进行拟合，结果表明土壤水分与土层深度的关系具有极强的相关性，其关系方程为拟和三次抛物线型。

Furthermore,a Cubic Curve-fitting equation deduces and set up.In the end,through a group of actual data,the effect of this new method is validated.

建立了三次拟合曲线方程，通过实际数据的检验，验证了该方法的拟合效果。

By the cubic equation fitting based on the data detected in measurement system as math model, the compensation program is compiled to carry out distortion correction in experiment program.

以检测装置测量拟合得到的三次补偿方程作为畸变校正的数学模型编写了测量校正程序，对光电测量系统进行了实验检测。

The stress-strain curve of new-old concrete and HPRRC, are suggested to be modeled by two sections: the ascending section of the stress-strain curve is simulated by cubic parabola equation and the descending section is simulated by rational fraction, where the theoretical value is in good agreement with the test value.

新—老砼及HPRRC应力—应变全曲线建议采用两段式拟合：上升段采用三次抛物线方程模拟，下降段采用有理分式模拟，理论值与试验结果吻合较好。

Prepared by the cubic spline interpolation function, TSS method diagonal matrix equation function, interpolation function point value function.

C#编写的三次样条插值函数，TSS法求解对角矩阵方程函数，插值点函数值计算函数。

Using cubic spline interpolation function, we construct a finite element model to approximate the nonlinear Schr〓dinger equation, and provide a complete discrete scheme with the conservation properties of mass and energy.

本章从应用角度出发，着重讨论孤波形式的解的计算，为此我们利用三次样条函数的插值基函数构造出非线性薛定谔方程的一个有限元离散模型，给出了具有保质量与能量守恒的全离散计算格式。

Based on the obtained the temperature, the electron density of the cloud lightning channel by combined with the method of the spectra diagnose and Saha equation.

论文摘要：用无狭缝光栅摄谱仪在西藏地区获得了云闪放电通道的光谱，在已经获得云闪放电通道温度的基础上，利用光谱诊断方法结合Saha方程得到了云闪放电通道的电子密度；将空气等离子体的输运理论应用于闪电放电通道特性的研究，首次计算了三次云闪放电通道的电导率、电子的热导率和热扩散系数。

A high accuracy finite volume element method was given based on cubic spline interpolation for linear and nonlinear twopoint boundary value problems of ordinary differential equations. The computational scheme was derived and the property of positive type was discussed. Further we presented the convergence analysis and the scheme was proved having fourth order error estimate in discrete energy norm.

针对常微分方程线性和非线性两点边值问题，提出了基于三次样条插值的高精度有限体积元方法，给出了具体计算格式，讨论了格式所具有的优良性质--正型性，并应用能量方法给出了收敛性分析，证明了格式按照离散能量模具有四阶精度。

Firstly, several kinds of schemes were proposed according to the design demand. The best scheme was chosen after analyzing and comparing the schemes. The robot's structure was designed with Pro/Engineer and AutoCAD software. Secondly, the kinematics analysis conducted, coordinate transformation matrix using D-H method was set up, and the kinematics equation direct solution and inverse solution was deduced. The manipulative interface about the kinematics equation direct solution and inverse solution was completed with VC++ and the velocity Jacobian of displacement matrix was constructed using differential transform method. In the process of the trajectory planning based on robot's kinematics analysis, I propone a method by which we can get middle nodal point with normalizing factor in order to simplify our searching for these middle nodal points. In addition, I give these middle nodal points with actual physics signification. For eliminating contradiction between real-time and accuracy, I bring forward separately limit of error and reversal interpolation method. For decreasing calculation quantity, we resort to tri-spline interpolation in the articulation space.We analyse the work range of the robot by resorting to graphic means.

首先，作者针对机器人的设计要求提出了多个方案，对其进行分析比较后，选择其中最优的方案后用Pro/Engineer和AutoCAD软件进行了机器人模型结构设计；其次，进行了运动学分析，用D-H方法建立了坐标变换矩阵，推算了运动方程的正、逆解，运用VC++制作了正、逆运动学求解的求解界面；并且用微分变换法推导了速度雅可比矩阵；在基于机器人的运动学的轨迹规划中，通过在操作空间的规划，提出了归一化因子来求解中间结点，通过它可以使求解中间结点变得更简单，并且赋予这些中间结点实际的物理含义，对于规划中精确性和实时性的矛盾，提出了以误差极限法和反向插值法来解决的方法；为了减少规划过程中计算量，在关节空间进行三次样条插值；然后借助图解法进行工作空间分析，作出了实际工作空间的轴剖图。

Give out the distinguish theorem of multiple root based on maximum value.

根据导函数的极值分析实根的分布情况、迭代区间和迭代初值，利用三次收敛的迭代方法求解方程的实根，给出了根据极值的重根判别定理。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。