对偶的

For this purposewe need to develop some new methods and new techniques.For example we studythe properties of the"centroid curve"and the"auxiliary curve",and identify twoplanes in which these two curves are defined respectively;we also use the relationshipbetween the"centroid curve"and its"dual curve".

为此需要发展一些新技巧和新方法，例如研究由Abel积分之比定义的"质心曲线"和"辅助曲线"的几何性质，并把这两条在不同平面上定义的曲线放在同一个坐标系中考虑，或把"质心曲线"与其"对偶曲线"联系起来考虑。

Since the sub-problem is strict convex and separable, the dual problem is especially effective for large scale problem.

由于我们得到的子问题是严格凸和可分的，从而获得的对偶问题简单易解，因此这一方法尤其适合处理大规模问题。

Furthermore, we discuss the relatioship between the no arbitrage condition and the state prices vector, then characterize the no arbitrage conditions in terms of the dual theorem of optimization.

然后利用优化理论中的对偶问题刻画了摩擦市场下的无套利条件，最后讨论了无套利条件与期限结构之间的关系。

By defining ε-hedging strategy, applying duality principle of linear programming and martingale measure theory, we present a kind of calculation method for the seller's arbitrage price and the buyer's arbitrage price of capital asset in finite security market.

在定义ε-套期保值策略的基础上，采用线性规划对偶原理和鞅测度理论，给出了有限证券市场资本资产的卖方套利价格和买方套利价格的计算方法。

Furthermore, the proof of correctness of CalcCycleTime is also the proof of the existence of cycle time, the existence of generalized eigenvectors, and the duality theorem.

本论文中给出的CalcCycleTime算法的正确性证明同时是周时存在性、广义特征向量存在性和对偶定理的证明。

Based on the duality theorem of linear programming, the directional derivatives of the objective function can be expressed as a linear programming which is very important in the practical calculation for nonmono tone line search subproblems.

基于线性规划的对偶定理，目标函数的方向导数可以表示成线性规划问题，这在实际计算非单调线搜索子问题时是非常重要的。

But it becomes difficult to repeated-root cyclic codes, because X -1 can not factor uniquely over a finite ring when n is not prime to the characteristic of the residue field of the ring.

主要内容分为以下几个方面：第一，给出了环F_2+uF_2上长度为2n的重根循环码及其对偶码的结构，进一步讨论了这类重根循环码与单根循环码二者之间的极小Lee-重量关系。

We analyse and compare the traditional timemarching method, the fixed point iteration method, Chan, Chan and Zhou proposed such an approach using the Newton method combined with continuation and the primal-dual method.

本文对传统的时间依赖方法，不动点迭代法，原始对偶方法，Zhou，Zhou和Chan提出的牛顿法与延拓法相结合的方法进行了比较分析。

in order to simplify a process of getting parameters of daubechies biorthonormal wavelet, according to the fourier cosine transform of scale equation of daubechies biorthonormal wavelet, an algorithm is proposed when the daubechies biorthonormal wavelet has even symmetry double scale parameters.

摘 要：为简化daubechies双正交小波因数的求解，以紧支集daubechies正交小波中尺度关系的fourier变换余弦形式为基础，提出1种当双尺度因数为偶对称时，推导daubechies双正交小波对偶尺度方程因数的方法，并给出构造数值实例。

The infeasibility detection and handling strategy is discussed while the prime-dual interior point method is used.

文中结合原对偶内点法的特点提出了不可行问题的探测和处理方法，并用模型系统和华东电力系统的实际数据进行了验算。

She gently rebuff ed him, but agreed that they could be friends

她婉言拒绝了，但同意作为朋友相处。

If in the penal farm, you were sure to be criticized.

要是在劳改农场，你等着挨绳子吧！