查询词典 number set

It is rich in content, and algebraic number theory, geometry number theory, number theory, etc. have set more closely linked .

不定方程的内容十分丰富，与代数数论、几何数论、集合数论等等都有较为密切的联系。

In this thesis, we will mainly do research on the novel scheme for Digital image Steganography, Digital Image Secret Transmission in network and the development of the information hiding device for application. The main contributions of this thesis are as following: The novel conversion method for mapping image to complex number is proposed, and the plus, minus, multiply and complex conjugate operation of image are defined based on Positional number systems and complex number system. Following new results have been gotten: 1 The suitable complex number basis to be used to express integers is a big set. 2 Any image can be mapping into a one-to-one point. 3 Lots of image processing problem can be considered based on geometric theory.

在本论文中，研究工作集中在数字图像伪装算法的新模型、图像在网络中的加密传输的新方案和信息伪装设备的研发等三个方面，主要包括：基于位值制记数法和复数系理论，提出利用复数作为基底的数字图像新的表示方法，用复数运算定义了图像和图像间的"加"、"减"、"乘"、"共轭"等运算关系；得到理论结果： 1、能表示任何整数的复数基是很大的一个集合。2、任何一幅图像，都能和复平面上的一个点一一对应。3、可以将图像问题化归为平面几何问题处理。4、复数系下的图像表示适合用于信息伪装。

Dimensionless equation of air flow resistance is functional relation of Euler number, Reynolds number and Prandtl number, is set up after experimental data is analyzed Air resistance through cooling coil is conveniently computed , fan of the new cooling tower is correctly selected and suitable distance of among cooling tubes is designed by the dimensionless equation.

建立了空气流动阻力的准则方程，即欧拉数Eu与雷诺数Re、普朗特数Pr之间的函数关系。利用这个准则方程可以方便地计算空气流经冷却盘管的阻力，合理地选配封闭式冷却塔所用风机和设计冷却盘管的管间距。

In chapter two, concepts of integrity, integral set and integral number are introduced firstly, and then some relationships between the integrity and some other parameters of graphs are given, then the upper and lower bounds of the integrity are investigated on the basis of integral number determined. The final result is the upper and lower bounds of integral number if the integrity is known.

第二部分主要讨论了完整度与图的其它参数之间的关系；给出了完整度给定条件下完整数的最大可能值及完整数给定条件下，完整度的最大最小可能值；给出了图的完整度与此图的删点子图的完整度之间的关系。

And several rough set operation algorithms are also offered in this paper,such as upper approximation set,lower approximation set,intersection, cardinal number and so on.

通过讨论二进制与粗糙集之间的内在联系，提出基于二进制的粗糙集运算理论，并借助二进制的位运算操作，给出粗糙集的上近似集和下近似集、等价类的交、集合的基数的运算算法。

According to the existence results of general equilibrium problems and vector equilibrium problems have been studied more and more. Inspired and motivated by these research results, this paper is devoted to study systematically a class of equilibrium problems, which is unify and extension of a large number of known equilibrium problems and variational inequalities problems. The research is carried on from three aspects.Firstly, in finitely continuous topological spaces, we introduce four new types of the system of generalized vector quasi-equilibrium problems, and we derive some existence results of a solution for the system of generalized vector quasi-equilibrium problems via the maximal element theorems in product finitely continuous topological spaces.Secondly, in complete metric spaces, we provide the Ekeland variational principle to equilibrium problems with set-valued maps. And via the Ekeland variational principle, existence results for vector equilibrium problem with set-valued maps and the system of vector equilibrium problem with set-valued maps.

针对一般的均衡问题和向量均衡问题解的存在性，已有许多研究成果，受这些成果的启发，本文主要从理论上较为系统地研究了一类均衡问题，它统一和推广了许多已有的均衡问题和变分不等式问题，研究分有三个方面；首先，在有限连续拓扑空间中，我们提出了四类广义向量拟均衡系，并借助于有限连续拓扑空间中的极大元定理讨论了这四类均衡系问题的解的存在性问题，然后，在完备度量空间中，我们给出了关于集值均衡问题的Ekeland变分原理，并利用Ekeland变分原理分别讨论了集值向量均衡问题和集值向量均衡系问题的解的存在性。

The problem of set partitions in combinatorial mathematics is conside-red, and the following three points are emphasized:(1) the non-recursivealgorithm for computing the number of partitions of an N-Set, P;(2)the algorithm for mapping the partition vector V to the partition sequencenumber D;(3) the algorithm for mapping the partition sequence number Dto the partition vector V.

本文对组合数学中的集合划分问题进行了一些探索，试图回答下面三个问题：①集合划分方法数P的非递归算法，②划分向量V映射到划分序号D的算法，③划分序号D映射到划分向量V的算法。本文以划分的构造树为基础，加以变换，得到数目树和分块树，由此求得P，以及K块划分方法数P_K。

Based on the method of multi-objective fuzzy optimization and the overhead traveling crane design, a mathematical model of fuzzy optimization for main box beam section is established. A fuzzy goal anthology is constructed. The fuzziness of multi-objective function and constraints is defined. The transformation of the fuzzy constraints set to normal constraints set in real number domain is realized by applying optimal level cut set method. The optimal solution and optimal constraint value of sub-objective function in the feasible field are found using the genetic algorithms.

应用多目标模糊优化方法，以工程设计中桥式起重机箱形主梁设计为实例，建立了桥式起重机箱形主梁多目标模糊优化设计的数学模型，构造了模糊目标集，确定了多目标函数的模糊性和约束的模糊性，并应用最优水平截集法实现了模糊约束到实数论域上的集合转换，从而用遗传算法寻求到子目标函数在可行域空间的最优解和约束最优值。

Bob lives together since childhood with Harker is adding the iris town, was the Harker childhood's playmate, the stature is not high, the hair from was born curls the volume, the eye was very big, the skin was very white, always likes putting on the suspenders trousers' his stature not to be high actually has the keen skill, the present is the brave warrior number operates the rudder, raised casually in here, the brave warrior number was their pirate ship, was also their family, in here, had the partner billy always to put on the identical set of western-style clothes, not the big bow tie, he was very actually graceful, high stature, fair skin, beautiful blue color eye, high bridge of the nose, will smile will let the human remember the fine thing, he will have gentleman's quiet and tasteful, also will have free man's profligate being unable to restrain, no matter which young lady let perhaps the woman looks could be infatuated with his -- him to be skilled in the seacraft, could precise draw each sea area the sailing chart, he was the brave warrior number navigation teacher, partner Du duly, the braid has covered entirely on his head, his eye a little looked like a bean, both hands is not big, actually could make compared to imperial palace delicacy food, what was worth mentioning, he was a thin person -- also has the partner to love Milly, he was Bob's younger sister, beautifulLong curl, big and attractive brown eye, long, but curls the eyelash, the beautiful skin, the beautiful beautiful fascinating' winsome's stature dances lightly in the sea!

鲍比从小和哈克一起生活在加芝镇，是哈克小时候的玩伴，个子不高，头发从出生来就卷卷的，眼睛很大，皮肤很白，总是爱穿背带裤的他个子不高却拥有灵敏的身手，现在是勇士号的掌舵者，随便在这里提一下，勇士号是他们的海盗船，也是他们的家，在这里，有伙伴比利总是穿着同一套西服，却不大领结，他很帅，高高的个子，白皙的皮肤，美丽的蓝色眼睛，高高的鼻梁，笑起来就会让人想起美好的东西，他有绅士的幽雅，又有自由者的放荡不禁，不管让哪个小姐或是妇人看了都会迷上他——他精通航海术，能够精确的绘出各个海域的航海图，他是勇士号的航海师，伙伴杜杜利，辫子布满了他的头上，他的眼睛有点像一颗豆，双手不大，却能做出比皇宫更美味的食物，值得一提的是，他是个瘦子——还有伙伴爱米利，他是鲍比的妹妹，美丽的长卷发，大而漂亮棕色的眼睛，长而卷的睫毛，美丽的皮肤，美丽婀娜的身材在大海中翩翩起舞！

For this expert advice, the State departments and the relevant industry associations to actively guide the major manufacturers of advanced study abroad, as well as the management experience of brewing technology, set up high-quality wine grape production base and increasing the investment base of grape, set up a classification system for quality, and strive to enhance capability of independent innovation, to build strong brands, combined with China's geographical characteristics, etc., developed a number of Chinese characteristics and in line with China's vast number of consumers taste varieties, actively respond to the impact of foreign wine industry.

国家部门和有关行业协会要积极引导出国深造的主要制造商，以及酿造技术管理经验，建立了高品质的酿酒葡萄生产基地和增加投资的基础葡萄，建立了质量分级制度，努力提高自主创新能力，建立强有力的品牌，与中国的地理特征相结合等，制定了中国的一些特征，并与中国的广大消费者的口味线品种，积极应对国外葡萄酒行业的影响。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。