查询词典 linear relation

The main contributions of the second part of this dissertation are focused on the cryptographic properties of logical functions over finite field, with the help of the properties of trace functions, and that of p-polynomials, as well as the permutation theory over finite field: The new definition of Chrestenson linear spectrum is given and the relation between the new Chrestenson linear spectrum and the Chrestenson cyclic spectrum is presented, followed by the inverse formula of logical function over finite field; The distribution for linear structures of the logical functions over finite field is discussed and the complete construction of logical functions taking on all vectors as linear structures is suggested, which leads to the conception of the extended affine functions over finite field, whose cryptographic properties is similar to that of the affine functions over field GF (2) and prime field F〓; The relationship between the degeneration of logical functions and the linear structures, the degeneration of logical functions and the support of Chrestenson spectrum, as well as the relation between the nonlinearity and the linear structures are discussed; Using the relation of the logical functions over finite field and the vector logical functions over its prime field, we reveal the relationship between the perfect nonlinear functions over finite field and the vector generalized Bent functions over its prime field; The existence or not of the perfect nonlinear functions with any variables over any finite fields is offered, and some methods are proposed to construct the perfect nonlinear functions by using the balanced p-polynomials over finite field.

重新定义了有限域上逻辑函数的Chrestenson线性谱，考察了新定义的Chrestenson线性谱和原来的Chrestenson循环谱的关系，并利用一组对偶基给出了有限域上逻辑函数的反演公式；给出了有限域上随机变量联合分布的分解式，并利用随机变量联合分布的分解式对有限域上逻辑函数的密码性质进行了研究；给出了有限域上逻辑函数与相应素域上向量逻辑函数的关系，探讨了它们之间密码性质的联系，如平衡性，相关免疫性，扩散性，线性结构以及非线性度等；讨论了有限域上逻辑函数各类线性结构之间的关系，并给出了任意点都是线性结构的逻辑函数的全部构造，由此引出了有限域上的"泛仿射函数"的概念；考察了有限域上逻辑函数的退化性与线性结构的关系、退化性与Chrestenson谱支集的关系；给出了有限域逻辑函数非线性度的定义，利用有限域上逻辑函数的非线性度与相应素域上向量逻辑函数非线性度的关系，考察了有限域上逻辑函数的非线性度与线性结构的关系；利用有限域上逻辑函数与相应素域上向量逻辑函数的关系，揭示了有限域上的广义Bent函数与相应素域上的广义Bent函数的关系，以及有限域上的完全非线性函数与相应素域上向量广义Bent函数之间的关系；给出了任意有限域上任意n元完全非线性函数存在性与否的完整证明，并利用有限域上平衡的p-多项式的性质给出了有限域上完全非线性函数的一些基本构造方法。

That is the greatest "trap" that affect fellow countrymen to think of Public relation correctly,so as to bring up a series of very negative social influence,for example many fellow countrymen equal Public relation with "Personal Relation"——— the vular relation as Pulling strings 、 Getting in by the back door and Social unhealthy tendencies,and some scum of Public relation that do personal relation on the false pretenses of public relation;To my embarrassment,the people even link public relation with wild social "three-company" at once.

这是影响国人正确认识公共关系的最大&误区&，由此产生了一系列十分消极的社会负面效应，如不少国人把公关与&私关&———拉关系、走后门的庸俗关系以及社会不正之风等同起来，还出现了为数不少的假公关之名、行&私关&之实的&公关败类&；更令人啼笑皆非的是，人们甚至把社会上猖獗一时的&三陪现象&与公关相提并论。

The linear function applicable scope is broad, when the reservoir turnover water volume and the time, the student leaves the staircase mouth population and the time and the time and the motion communication speech spends the comparison and so on the relational question has the important application;The study linear function, may deepen in the life the linear question understanding and the understanding, is helpful in solves some simple function problem; The linear function some problem solving method has the universality in mathematics, the linear function related theory may use for to solve some other mathematics problem, For instance the dual linear equation group, a Yuan inequality, a Yuan quadratic equation most value question and some complex mathematics question, the light is studies the linear function the theory is insufficient, the key is can utilize actual the linear function goes is our final goal.

一次函数的适用范围广，在蓄水池的进出水量与时间、学生出楼梯口人数与时间与时间和移动通讯的话费比较等的关系问题时均有重要的应用；学习一次函数，可以加深生活中线性问题的认识与理解，有助于解决一些简单的函数问题；一次函数的一些解题方法在数学中具有普遍性，一次函数的有关理论可以用来解决一些其它的数学问题，比如二元一次方程组、一元一次不等式、一元二次方程的最值问题及一些复杂的数学问题，光是学习一次函数的理论是不够的，关键是能把一次函数运用到实际中去才是我们最终的目的。

Modeling and stability analysis problem of linear switched system are emphasized in this part and main results include:(1) Through investigation in the projection of 〓 on x, where x denotes continuous state vector, a series of sufficient conditions for stability, asymptotic stability and unstability of linear switched system's equilibrium in the sense of Lyapunov are achieved. And also, a sufficient and necessary condition for state bounded stability of linear switched system is received.(2) For a class of periodical linear switched system whose switching sets are a group of ordinal lines starting from the original point, it's proved that state bounded stability can be defined by the running characteristic in a single period (3) Based on linear switched system, the concept of linear switched system network is put forward. Linear switched system network is a complex network interconnected by many linear switched systems.

这部分着重研究线性切换系统的建模与稳定性分析问题，主要成果包括：（1）通过考察〓在x上的投影，得到线性切换系统的平衡点在Lyapunov意义下稳定、渐近稳定及不稳定的一系列充分条件，并得到了线性切换系统状态有界稳定的一个充要条件；（2）证明了对于一类切换集为从原点出发的一组射线的周期线性切换系统，其状态有界稳定可根据一个周期内的系统运行特性来判定；（3）在线性切换系统的基础上提出了线性切换系统网络的概念，线性切换系统网络是由多个线性切换系统交互作用而形成的复杂网络。

The representation of sequences is very helpful for the research of their linear complexity,so this paper we first research trace representation of periodic sequences,and the trace representation of a New Generalized Cyclotomic Sequence of order two of length pq is given,then for 2~mp~n period binary sequences,where p is an odd prime and 2 is a primitive root modulo p~2,we present a relation-ship between the linear complexity and the minimum value k for which the k-error linear complexity is strictly less than the linear complexity and have the upper bound and lower bound of the value k, finally we discuss the k-error linear complexity of legendre sequences,also have the upper bound and lower bound of the value k,and discusses the situation where the linear complexity drop again for some Legendre sequences.

序列的表达形式对于其线性复杂度的研究是十分有帮助的，本文我们首先研究的是周期序列的迹表示，给出了2阶pq长度的扩展分圆序列的迹表示，然后讨论了周期为2~mp~n(m≥2)序列的线性复杂度与使得线性复杂度变小的最小的k值的关系，给出了k值的上界和下界，这里p为奇素数，2是模p~2的本原根，并通过例子讨论了其线性复杂度的稳定性，最后对Legendre序列k-错线性复杂度进行了分析，也给出了k值的上界和下界，并对某些Legendre序列讨论了线性复杂度再次下降的情况。

The theoretical orientation is established in its relation with the rele- vant disciplines,such as the relation between sports humanities and sociology and sports study,the relation between sports sociology and sociology,the relation between sports humanities and sociology and sports teaching and training,the relation between the Chinese traditional sports and sports physiology and the relation between sports humanities sociology and sports sociology.

体育人文社会学的理论定位是在与之相关的学科关系中确立的。主要涉及4种关系：体育人文社会学与体育学的关系；体育人文社会学与人文社会科学的关系；体育人文社会学与体育教育训练学、民族传统体育学和运动人体科学的关系；体育人文科学与体育社会科学的关系。

Based on the definition of congruent relation , the algorithm and concept of generalized relation reflective relation were put forward , and statistic linear correlation and gray relation were unified in the reflectional relation .

在全等关联概念的基础上，提出了广义关联和映射关联的概念和算法，将统计线性相关和灰色关联统一在映射关联中，证明灰色关联是一种保比关联，提出了影响的定量概念。

The relation between different openings radius and overbreak as well as underbreak are studied. According to these, the relation between RMR and Q is built. The linear relation and the logarithm linear relation between RMR and Q and overbreak as well as underbreak are gained.

论文对洞室围岩的RMR分类和Q分类与超欠挖之间的关系进行详细的研究，研究不同开挖洞径与洞室超欠挖之间的关系，并由此建立了RMR分类和Q分类之间的关系，得出围岩的RMR分类和Q分类与洞室超欠挖呈线性关系或对数线性关系。

The heat generation curves of seven rubber materials used in tires with the changes of temperature have been obtained by using Dynamic Mechanics Analysis technique on NETZSCH DMA242 instrument, knowing that the heat generation of every other rubber materials except inner liner rubber changes lightly alone with the temperature within 10℃～80℃. According to the Fourier law, the heat transfer coefficients of tire rubber are measured by stable method on self-made experiment instrument. The coefficients changes lineally within 20℃～80℃ and the relation formulas λ=λ〓+bt are given out attached with λ〓 and b. The specific heat of tire rubber are measured on Differential Scanning Calorimeter NETZSCH DSC204 and the relations with temperature are linear and the formula is c=c〓+bT, where c〓 and b gained from experiment result data are presented in the paper. The heat convection coefficients on the surface of rolling tire are measured according to the principle of heat-mass transfer analogy principle after simplifying rolling tire into rotating disk with straight movement on wind channel. The relation with rotation speed of disk is linear as h=5. 399+0.0258n and the relation with straight line speed of tire is linear too, h=

论文采用动态力学分析技术，使用NETZSCH DMA 242型实验仪，获得了轮胎用七种胶料的生热率随温度变化曲线，确知除内衬层胶以外，其它各种胶料在一般胎温范围内（10℃～80℃）的生热率随温度变化不大；轮胎胶料的导热系数根据傅立叶定律的基本原理，采用稳态法在自行搭建的实验台上进行测试，结果表明，材料的导热系数在20℃～80℃的温度范围内随温度呈线性变化，论文给出了各种材料导热系数的线性变化的关系式λ=λ〓+bt及其λ〓和b的值；轮胎胶料的比热运用差式扫描量热原理，在NETZSCH DSC204型DSC实验仪上进行测试，结果表明，胶料的比热随温度的变化呈线性变化，其关系可用c=c〓+bT表示，文中给出了根据实验数据拟合的c〓、b的值；对轮胎表面的对流换热系数的测定，本文先将滚动的轮胎简化为有直线运动的旋转圆盘，而后采用萘升华热质比拟技术，在风洞中测量了滚动轮胎表面的对流换热系数，结果表明，圆盘表面对流换热系数与转速呈线性关系，即h=5.399+0.0258n，轮胎表面对流换热系数与其直线运动的速度呈线性关系，即h=

Linear Algebra is mainly a subject which studies the linear structure of finite dimensional linear space and its linear transformation while linear concept is in itself from the old Euclid Geometry. The concept of "Linear Space" is a kind of algebraic abstract. In many fields of modern engineering project and technology, because of the influence of computer and graph showing, the algebraic disposal of geometric questions, the visual disposal of algebraic questions, algebra and geometry are tightly combined.

线性代数主要是研究有限维线性空间及其线性变换这一代数结构的学科，而线性概念究其根源则是来自古老的Euclid几何，线性空间概念是几何空间的一种代数抽象，在现代工程技术的许多领域里，由于计算机及图形显示的强大威力，几何问题的代数化处理，代数问题的可视化处理，把代数与几何更加紧密地结合在一起。

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。