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1)  discrete zero curvature equation
离散零曲率方程
1.
Using the discrete zero curvature equations,the discrete differential-difference equation is deduced,and corresponding nonlinear system of discrete and integrable is validated.
基于一个离散等谱问题,构建了一族离散可积耦合,利用离散零曲率方程,导出了相应离散的非线性微分-差分方程,进而确定了其相应的Lax可积的离散非线性系统。
2)  zero-curvature equation
零曲率方程
1.
Two types of isospectral problems were constructed and their corresponding generalized zero-curvature equations were given.
构造两类等谱问题,给出其对应的广义零曲率方程。
3)  zero curvature equation
零曲率方程
1.
Orphans equation {u_t=-3uu_x-2v_x v_t=(1/2)u_(xxx)-2u_xv-uv_x derived from the zero curvature equation;
由零曲率方程推导孤子方程{u_t=-3uu_x-2v_x v_t=(1/2)u_(xxx)-2u_xv-uv_x
2.
zero curvature equation,equivalently derive GI hierarchy.
利用loop代数A1的一个子代数,设计了两个等谱问题,利用其相容性条件,即零曲率方程,等价地导出了GI方程族。
3.
By employing the compatibility of a generalized isospectral problem,a generalized zero curvature equation is obtained.
利用一个广义等谱问题的相容性得到了一个广义零曲率方程。
4)  discrete curvature
离散曲率
1.
A fast arc detection method for scanned line-drawing recognition based on discrete curvature;
基于离散曲率的扫描线条图快速圆弧检测
2.
Based on the improvement of Taubin s discrete curvature estimation method of triangular mesh by the adoption of area and angle weighted triangle vertex normal vector calculation formula and triangle centroid weights, a novel algorithm for triangular mesh regularization is presented.
采用面积夹角加权的三角网格模型顶点法矢及三角片质心权值对Taubin的三角网格模型离散曲率计算方法进行了改进,在此基础上提出了一种新的三角网格模型优化调整方法。
3.
This paper presents a method for morphing planar polygons via discrete curvature interpolation which employs intrinsic discrete curvature shape properties.
对于平面多边形的变形,笔者提出离散曲率插值变形的方法。
5)  null-surface equation
零曲面方程
6)  discrete equation
离散方程
1.
Performance analysis of TDMA and PDMA methods for solution to discrete equation;
求解离散方程的TDMA与PDMA方法性能分析
2.
In solving differential equation by means of discrete equations, the nonnegativity conditions of numerical approximate solution are studied and some types of discrete equations which will satisfy the condition are enumerated.
本文从讨论矩阵A的逆矩阵A~(-1)非负的条件出发,研究用离散方程组求解微分方程数值近似解不出负的条件,并列举出一些类型的离散方程组是能满足这些条件。
补充资料:离散时间周期序列的离散傅里叶级数表示
       (1)
  式中χ((n))N为一离散时间周期序列,其周期为N点,即
  式中r为任意整数。X((k))N为频域周期序列,其周期亦为N点,即X(k)=X(k+lN),式中l为任意整数。
  
  从式(1)可导出已知X((k))N求χ((n))N的关系
   (2)
  式(1)和式(2)称为离散傅里叶级数对。
  
  当离散时间周期序列整体向左移位m时,移位后的序列为χ((n+m))N,如果χ((n))N的离散傅里叶级数(DFS)表示为,则χ((n+m))N的DFS表示为
  

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