查询词典 density function

At the beginning of this thesis, the author gives the definition and the equivalent definition of convex function, and then proves the equivalent relationship between them. Secondly the author proposes the decision theorem of convex function which provides a judgment basis of whether a function is a convex function. Thirdly the author summarizes and proves the convex function's operational ,basic , differential and integral property. Finally the author proves several famous convex function inequalities, such as Jensen inequality, Holder inequality, Cauchy inequality and Minkowski inequality. The author also provides the application of these inequalities and illustrates the importance of convex function's basic inequality and integral property in the proving process.

本文开始给出了凸函数的定义及等价定义，并证明了它们之间的等价关系；接着提出了凸函数的判定定理，对一个函数是否是凸函数提供判断依据；然后对凸函数的运算性质、基本性质、微分性质、积分性质四个方面的性质进行了总结，并给予了证明；最后证明了凸函数的几个著名不等式詹森不等式、赫尔德不等式、柯西不等式和闵可夫斯基不等式以及这几个不等式的应用，并举例说明凸函数的基本性质和积分性质在不等式证明过程中的重要作用。

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。

Chapter one is "Introduction". On the basis of summarizing the history of the study of the pictophonetic characters, we suppose some theoretical principle, such as the principle of the correspondence between the form and the meaning of the individual graph of Chinese characters, the principle of the total graphs of Chinese characters being a character-formation system, and the principle of the optimum development of the character -formation system in the history, and som analytic methods, such as the methods of structrue-function analysis, form-position analysis and meaning factor analysis, in the study of the pictophonetic characters. Chapter two is titled"General knwledge of the pictophonetic character." We discuss their origins, nature and some standards of distingnishing them, introduce the knowledge about the editions of SHUO WEN JIE ZI, analyse the functions of the modules of pictophonetic characters in detail, discuss concretely the function of phonetic graphs showing origins and pronunciations, the function of meaning graphs showing meanings and analogies, and the function of distinguishment when the two kinds of graphs are conbined. Chapter three is"The system of meaning graphs of Xiao Zhuan system."After we describe the structure of the meaning graph system, the relations between meaning graphs, the distributions of the function of meaning graphs showing meanings, and the frequency of all this kind of graphs, we get a table of all meaning graphs, a table of the frequency. Chapter four is"The system of phonetic graphs of Xiao Zhuan system."We describe the structure of the phonetic graph system, the relations between phonetic graphs, and between their function showing origins and their function showing pronunciations, and their frequency, then we get ageneral table of phonetic graphs and table of their frequency. Chapter five is "conclusion". We think that systematical methodology is useful in describing and analysing the formation system of Chinese characters. The methodology is adaptable in describing the formation system of modern Chinese characters as well as the historical character systems, adaptable in describing horizontally as well as comparing vertically. Only when we finish the systematical vertical compare on the base of systematical horizontal decription, could we know the true history of the system of Chinese characters, recover the rule of the system's development, and supply the theoretical supports for the scientifical arrangement of modern Chinese characters.

第一部分—绪论，在总结形声字研究历史状况的基础上，提出了研究形声系统的理论原则和分析方法，即汉字个体字符形义统一的思想，汉字字符集合构形系统的思想，汉字构形系统历史演变系统优化的思想等三项理论原则和结构功能分析法，形位分析法，义素分析法等三种分析方法，还扼要地介绍了具体的工作程序和论文的主要内容；第二部分—形声字概述，论述了形声字的来源、性质和鉴别标准，介绍了对《说文解字》正篆形声字说解中的传抄讹误，版本异文，说解错误校勘和考证的经过，详细分析了形声字构件的功能，具体讨论了声符的示源功能与示音功能，义符的示意功能与类化功能以及声符与义符组合中的相互区别功能；第三部分—小篆字系的义符系统，从义符系统的构成、义符间的相互关系，义符示意功能的分布及义符的构字频度等不同侧面，对义符系统进行了全面的描写，产生了义符总表、义符间意义关系总表和义符构字频度总表；第四部分—小篆字系形声字的声符系统，从声符系统的构成、声符间的相互关系，声符的示源功能与示音功能的关系以及声符的构字频度等不同侧面，对声符系统进行了全面描写，产生了声符总表和声符构字频度总表；第五部分—结束语，在全面测查小篆字系形声字的基础上，对研究汉字的方法和现代汉字发展方向的问题提出了一些看法，认为系统论的方法是描写和分析汉字构形系统行之有效的方法，系统论方法，不仅适用于历史上文字系统的描写，也适用于现代汉字构形系统的描写，不仅适用了断代描写，也适用于历史比较，只有在对汉字断代系统描写的基础上进行系统的历史比较，才能认清汉字系统历史演变的真相，揭示汉字系统发展的客观规律，为科学地整理现代汉字提供理论上的依据。

On the basis of extending the concepts of the derived function, primitive function and integration of interval-valued function to complex interval-valued function and using the descomposition theorem of complex fuzzy set, the derived function, primitive function and integration of complex fuzzy set-valued function and some properties of them are proved.

2在国际上最先引入了复模糊集合与复模糊数的基本概念，证明了它们的基本代数运算的封闭性，并且其运算可通过α水平复集合的相应运算来进行

The total of these two sorts of functions is called S-functions The indicial function, sinusoidal function, cosinusoidal function, hyperbolic sinusoidal function, hyperbolic cosinusoidal function, trigonometric function of n-order and hyperbolic function of n-order etch are all belong to S-functions.

指数函数、正弦函数、余弦函数、双曲正弦、双曲余弦、n阶三角函数和n阶双曲函数等。都是S－函数的特殊形式。文中证明了关于S－函数及其各阶导数的性质的三个定理。

Tested results and analysis show: seed condition has a significant effect on bulk density, a comparatively significant effect on drag coefficient, and little effect on particle density and restitution coefficient of rice seed; moisture content significantly affects bulk density, particle density and drag coefficient of coated rice seed; variety of seed has little effect on the properties of coated rice seed.

试验结果和分析表明：稻种状态对容积密度影响显著，对漂浮系数影响比较显著，对籽粒密度和恢复系数影响较小；含水率对包衣稻种的容积密度、业粒密度和漂浮系数影响显著；品种对包衣稻种的物理特性影响较小。

The results were summarized as followings: the density of planktonic crustacea in middle reach was higher than that in the lower reach whereas the species abundance and community diversity index in the lower reach were higher than that in the middle reach; the planktonic crustacea communities presented high density but lower diversity in the upper part of the middle reach, lower density but high diversity in the lower part of the middle reach and estuary, and lower density and diversity in the lower reach except the estuary.

结果表明，汉江中下游江段浮游甲壳动物的密度分布呈现出中游高于下游的特征，而物种丰度和群落多样性指数则是下游高于中游；中游上段的属于密度高但多样性低的群落、中游下段和汉江口属于密度较低但多样性高的群落，下游除汉江口外属于密度和多样性均较低的群落。

2Nd, thorough analysis: The Earth may say is an extremely marvelous thermonuclear reactor, when the earth interior pressure achieved certain critical, in the Earth material may decay the nuclear matter is called as the thermonuclear material, can have the thermonuclear reaction, thus has the huge energy, then the melted partial materials, form the rock magma are the liquid state materials, this response stratification plane is possibly many stratification planes, first possibly is located between the earth's crust and the mantle, upward next two transfers, displays for the light density material diastrophism as well as density upper mantle material phenomena and so on solidification; Under second possibly is located between the mantle and the core, the pressure is more formidable, causes not not easily to have the thermonuclear reaction thermonuclear material to have the response, forms the relative quite stable liquefied material level, simultaneously is upward next two transfers, forms the counter-flow phenomenon which the high density under mantle as well as the high density core material contact liquefies and is far away cools; These material periodicity regular movements and so on convection as well as Earth polar axis rotation are possibly the basic source powers which the terrestrial magnetic field produces.

深入剖析：地球可以说是一个非常奇妙的热核反应堆，当地球内部的压力达到一定的临界，地球物质中可衰变的核物质统称为热核物质，就会发生热核反应，从而产生巨大的能量，进而融化部分物质，形成岩浆即液态物质，这个反应层面可能是多个层面，第一层可能位于地壳与地幔之间，向上下两边对流，表现为轻密度物质的地壳运动以及中密度上地幔物质的固化等现象；第二层可能位于下地幔与地核之间，压力更为强大，引起不易发生热核反应的热核物质发生反应，形成相对比较稳定的液化物质层，同时向上下两边对流，形成中高密度的下地幔以及高密度地核物质的接触液化和远离冷却的对流现象；这些对流以及地球极轴自转等物质周期性规律性运动可能是地球磁场产生的根本源动力。

The main work can be summed up as follows: Firstly, we studied the thermal-field properties of VCSELs, and analyzed the influences of current spreading, material parameters and operating conditions on the temperature distributions. Secondly, we began with the electrode voltage and calculated the equipotential s distributions, compared the distributions of voltages and current densities in different depths of VCSELs, and then studied the influences of the oxide-confining region with different position or thickness, and the different sizes of the gain-guided aperture and emitting window on the distributions of the injected current density, carrier concentration and temperature in the active region. Thirdly, we realized the coupling of electricity, optical and thermal-fields, worked out the threshold voltage, calculated the distributions of the injected current density, carrier concentration and temperature under different offset voltages, and analyzed the impacts of temperature profile and carrier density on the refractive index, Fermi levels and optical-field. Finally, we gave the equipotential line distributions with considering N-DBR and double oxidized-confining regions, and analyzed theinfluences of N-DBR and double oxide-confining regions on the distributions of the current density, carrier concentration, temperature and optical-field.

具体工作可以概括如下：首先，研究了VCSEL的热场特性，分析了电流扩展，材料参数和工作条件对于温度分布的影响；其次，从电极电压入手，计算出激光器中的等势线分布，并对不同深度处的电压和电流分布进行比较，研究了高阻区的不同位置和不同厚度、限制层和出射窗口半径的大小对电流密度、载流子浓度和温度分布的影响；再次，实现了电、光、热耦合，求出了阈值电压，计算了不同偏置电压下的电流密度分布、载流子浓度分布和热场分布，分析了温度和载流子浓度变化对折射率、费米能级和光场的影响；最后，给出了考虑N-DBR和双氧化限制层时激光器中的等势线分布，分析了N-DBR和双氧化限制层对VCSEL电流密度、载流子浓度、温度和光场分布的影响。

The density is Granger of height and breast diameter, and the heightis Granger causality of the diameter too, but the diameter isn't the causality of the height when logging number equates 2. In the intercomparison of effects of the diameter, height and density each other, the effect of the height and density is far-reaching. The height and density should be paid more attention for maintaining its' effect on the diameter in forest management.

当滞后阶数为2时，密度是胸径、树高的Granger原因，树高是胸径的Granger原因，胸径不再是树高的Granger原因，说明胸径、树高、密度3个林分因子中，密度、树高的影响更深远，所以在森林培养时，一方面要更加注意林分密度，优化林木的营养空间，促进林木因子的全面生长，另一方面，也不能忽视对树高的培养，以维持树高对胸径的影响。

More direct, directer ; most direct, directest

径直的，笔直的

Do you know how to use a chain saw?

你知道如何使用链锯吗？