查询词典 proper vector

For this reason, the author of the article puts forword a new concept projective vector and coefficient "image" of projective vector. Coefficient of projective vector is put forword by the author for the frist time. It is of high value, both in mathematics and theory.

为此，本文给出了"一个向量在另一个向量方向上的射影向量和射影向量系数"的概念，"射影向量系数"这一概念，为作者本人首次提出，具有重要的教学价值和理论价值。

We define I-quasi-invex vector function ., I-strictly quasi-invex vector function and KT-I-strictly quasi invex vector function, and derive the above equivalent condition for unconstrained or constrained multiobjective programming.

于是，在本文的第三部分，我们定义了Ⅰ类不变拟凸、Ⅰ类严格不变拟凸、KT-Ⅰ类严格不变拟凸的向量值函数，并且在无约束或约束多目标规划中，获得了每个驻点是有效解的等价条件。

The dissertation will study some problems in stream ciphers. The main results that the author obtained are as follows:(1) The concept of fuzzy linear complexity is presented initially. The estimation problem of the fuzzy linear complexity of the random vector is studied, and a lot of upper bounds are given. The limit properties of fuzzy linear complexity of random vector are studied, and the limit theorem and the limit of variance of the fuzzy linear complexity of random vector are given.(2) The concept of fuzzy nonlinear complexity is presented initially.

本文在前人工作的基础上对序列密码中的一些问题进行了研究；所取得的主要研究成果综述如下：（1）首次提出了模糊线性复杂度的概念，对随机向量的模糊线性复杂度的均值进行了估计，给出了几个上界估计公式，并研究了随机向量模糊线性复杂度的极限性质，给出了随机向量模糊线性复杂度的极限定理及其方差的极限。

The estimation problem of the fuzzy nonlinear complexity of the random vector is studied, and some upper bounds are given. The limit properties of fuzzy nonlinear complexity of random vector are studied, and the limit theorem and the upper bound of variance limit of the fuzzy nonlinear complexity of random vector are given.(3) Enumeration of lst-order correlation-immune functions is discussed further.

首次提出了模糊非线性复杂度的概念，对随机向量的模糊非线性复杂度的均值进行了估计，给出了若干上界估计公式，并研究了随机向量模糊非线性复杂度的极限性质，给出了随机向量模糊非线性复杂度的极限定理及其方差极限的上界。

In our design, the main assumption is that the regressor vector satisfies certain Lipschitz condition; the key procedure is that we transform the error system to the traditional form with the parameter estimation error multiplying the"regressor vector"; and the"regressor vector-based"update law comes from the combination of the gradient algorithm with a σ-modified term.

基于回归向量的自适应律是在经典的梯度算法上增加一个σ修正项后得到的。

The induction motor stator-flux-oriented vector control scheme not only reduces the big dependence of its performances on the rotor parameters, such as in the rotor-flux-oriented vector control, but also eliminates the torque ripple produced by Bang-Bang control in Direct Torque Control. So the SFO vector control is a high-performance and robust induction motor control scheme.

异步电机按定子磁场定向的矢量控制克服了按转子磁场定向的矢量控制系统对转子参数的依赖性，又没有直接转矩控制中的砰—砰控制带来的转矩脉动，是一种鲁棒性良好的高性能异步电机控制策略。

A vector multiplied by a scalar quantity is a vector in the same direction as the original vector.

乘以标量的矢量是一个与原矢量同向的矢量。

The multi-dimensional signals measured by sensors with a machine working under normal condition or fault condition, can be used to build Q statistic and T^2 statistic respectively to detect the state of the machine. Meanwhile, the feature vector is constructed by the Q value and the T^2 value, the geometrical distance between the normal feature vector and the feature vector H when the machine goes wrong is used to realize the fault location. The results show that the method is feasible.

利用多个传感器测量的异步电机多维信号参量，构建电机在正常工作和发生故障时的Q统计和T^2统计，以实现电机的状态检测；利用Q统计和T^2统计值构建电机的状态特征向量，通过比较度量当前电机的特征向量与电机发生故障时的特征向量H的几何距离来实现电机故障的定位与分离实验证明，该方法可以有效地实现故障的诊断与分离。

This paper introduces a physical feature-sensitive topological simplification algorithm for planar vector fields to solve the physical feature preserving problem ignored by pre-existing methods. Its central idea is to classify the vector field region under the application-specified physical criterion, and combine the feature detection of a vector field with its topological simplification.

针对现有拓扑简化方法忽略物理特征保持的缺陷，提出一种对物理特征敏感的平面向量场拓扑简化算法，其中心思想是使用为应用定制的物理判据分类向量场区域，将向量场的特征检出与拓扑简化关联起来。

Firstly, based on the generalized function,φ-mapping topological current are rigorously proved to be of delta-function form δ and can be labelled by the nodal indices of the vector field, namely by Hopf indices and Brouwer degrees of this vector field, which reveals the inner relationships between our theory and the topology of vector bundle.

论文首先以广函数为基础严格证明了，φ-映射拓扑流具有δ函数形式，并且可以向量场的零点指标表征，即以其Hopf数和Brouwer度拓扑量子化，从而揭示了它与向量丛的拓扑学之间的内在联系。

Summary In copyright infringement cases,if the alleged infringer uses or even plagiarizes the copyrighted works or parts thereof,which causes no substantially adverse effect on the normal exploitation of the work,nor does it inflict any substantial damages to the right owner,the de minis doctrine should be applied to exempt the liabilities of the defendant and seek the balance of interests between the right owner and the general public embodied by the copyright law.

在侵犯著作权案件中，如果被控侵权行为人虽未经著作权人的同意，使用甚至抄袭了受著作权保护的作品或作品的片段，但若情节轻微，未对该作品的正常使用产生任何实质不利的影响，亦未对权利人的权利造成实质性的损害，则应适用&不计琐细原则&，免除行为人的责任，以寻求在权利人利益与著作权法所体现的社会公共利益之间的平衡。

This new product will become our best seller.

这个新产品会成为我们最畅销的产品。