查询词典 kernel of linear mapping

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。

For example,a generalization of linear algebra is developed in which "convex bifunctions" are the analogues of linear transformations,and "inner products" of convex sets and functions are defined in terms of the extremal values in Fenchel's Duality Theorem.

例如，一类线性代数的推广形式在凸双重函数中发展起来，而凸双重函数是线性变换的类似情况，凸集和凸函数的内积是根据 Fenchel 对偶理论的极值定义的。

The main works in this paper are as follows:(1). In this thesis, a new method, continuous linearization model, is constructed for the non-linear dynamic systems. The precision Duhamel integration solution for the linearization equation is also given from the theory of linear differential equation. The calculating results show that the new method can improve the calculation precision greatly. In fact, the truncation error is not limited by this method, it can arrive the precision according to the requirement.

本文的主要工作有以下几个方面：(1)由于非线性项的存在，使得多数情况下难以得到非线性动力方程的解析解表达式，目前常使用数值积分方法来求解非线性动力学方程的解，但常规计算方法的计算精度不很理想，本文提出了含Taylor展开项中高阶余项的非线性动力方程的线性化数值计算方法，构造了瞬态线性化方程，给出了Duhamel积分的表达式。

After discussion of the relation of MR〓 and ALT, an algorithm proposed by Zhongping Qin and Huanguo Zhang, two conclusions are obtained: if a weak key can be successfully attacked by the method of reduced echelon matrix, it can also be successfully attacked by a linear R〓R〓 transformation; meanwhile, there exists such a weak key that can be successfully attacked by the algorithm MR〓 or linear R〓R〓 transformation, but this key can not be successfully attacked by the algorithm ALT. For a NFA, according to the number of solutions for the image equation of its R〓R〓 transformation, there exist two sufficient criteria about its weak invertibility and weak inverse.

通过比较MR〓与覃中平和张焕国提出的攻击FAPKC加密情形的算法ALT，证明了如下结果：凡用约化梯阵方法能攻击成功，用线性R〓R〓变换也能攻击成功；同时，存在着用算法MR〓或线性R〓R〓变换攻击成功的弱密钥，用算法ALT攻击失败。

E - Young's Modulus, the coefficient of elastic stretching is the ratio of the linear stress to the linear strain.

小的系数，弹性拉伸的系数是线形压力和线形张力之比。

This drive mechanism provides power with a linear synchronous motor avoiding friction, elastic distortion, hysteresis and non-linear error, and can realize non-contact support and guidance in the horizontal and vertical directions.

这种驱动方式避免了传统驱动方式造成的摩擦、弹性变形、滞后和非线性误差，实现了平台进给机构在水平和垂直两方向的无接触支撑和导向。

Brain is a very complex non-linear system, and electroencephalograph and electrocorticogram are also non-stationary and nonlinear in nature, signal processing methods based on linear and stationary assumptions, although has obtained important result, can not grasp the entire picture of neuroscience.

人脑是一个高度复杂的非线性非平稳系统，所以脑电图和皮层脑电图也是非线性非平稳信号，基于线性和平稳假设的分析方法尽管取得了一些重要的研究成果，但是无法对神经系统进行更加深入的解释。

While we are having the electrotechnics classes, we usually take it as a linear circuit, and analyse it with the theory of linear circuit.

日光灯电路是一个非线性电路，而我们上电工课做这个实验时，常把它当成线性电路并采用线性理论来分析它。

This paper is devoted to solving linear saddle point problems, Specifically, We consider nonsymmetric systems, written as usual in block form, where the upper left block is an invertible linear operator with positive definite symmetric part. Such saddle point problems arise, for example, in certain finite element and finite difference discretizations of NavierStokes equations, Oseen equations, and mixed finite element discretization of second order convection-diffusion problems.

中文题名求解鞍点问题的迭代方法副题名外文题名论文作者冯丽红导师曹志浩教授学科专业计算数学研究领域\研究方向学位级别博士学位授予单位复旦大学学位授予日期2002 论文页码总数87页关键词鞍点问题迭代方法网格离散线性方程组馆藏号BSLW /2003 /O241 /15 论文针对鞍点问题的求解分析了一些典型的快速算法。

In some sense, the conceptions of "Non-prime time" and "Prime time" only describe the relation of linear transmission of TV and TV embracer s non- linear acceptation state.

从一定意义上说，"黄金时段"与"非黄金时段"表述的仅仅是一种关系，即电视的线性延伸与电视受众的非线性接受状态之间的契合程度。

When this condition occurs, inbound replication with the source partner is stopped on the destination domain controller and event ID 2042 is logged in the Directory Services event log.

计算机密码学是研究计算机信息加密、解密及其变换的科学，是数学和计算机的交义学科，也是一门新兴的学科。

Instructions: click on the thumbnails to see a larger image, then use the left-right arrow keys to scroll through the slideshow.

使用说明：滑鼠点在小图上即可放大观赏。开启后键盘左右键可用来换照片。