复杂性

Fractal dimension is the simple and effective dimensionless index to reveal the complexity of object.

故障的出现增加了信号的复杂性，而分形维数是描述事物复杂性的简单而有效的无量纲指标。

In the fourth chapter, I analyze and contrast many architectural cases in history and modern times which ellipse were applied to, and explore the ellipse"s development in historic sense. The fifth chapter investigates the dynamic relationship between geometry and architecture based on ellipse"s geometric character, and analyzes ellipse architecture"s characters in symbolism, dualism, diversity and unity these four facets. In the sixthchapter, taking ellipse architecture as examples, I try to explore the relationship between the more general geometry"s purity and architecture"s complexity, and build the foundation for future exploration of geometry"s purity.

第四章从历史和现代两个方面展开了大量对椭圆形式在建筑中应用的个案和实例的研究与对比，探讨了椭圆形式在历史上意义的变迁；第五章以椭圆的几何特性为立足点，研究了椭圆几何--建筑之间的动态关系，从标志性，二元对立，多样和统一四个方面分析了椭圆建筑的特点；第六章以椭圆建筑为例，尝试探讨了更一般的几何的纯粹性与建筑的复杂性的关系，对几何纯粹性意义的挖掘为进一步的研究提供基础；第七章采用了类型对比的研究方法，分析了安藤忠雄和库哈斯两位设计哲学截然不同的建筑师对椭圆形式的使用；另外，以位置关系为线索，将椭圆和其他的几何形式结合起来，总结了一般情况下几何的纯粹性对建筑复杂性的作用。

Immune function is a essential activity of white blood cells. It was puzzled for the diversity and complexity of immune response. Polarized immune response of immune cells was discovered 30 years ago, which facilitates the study on differentiation of lymphocyte. Recently recognition on multifunctional polarized immune response of lymphocyte and monocyte/macrophage would promote to elucidate the regulatory network of immune cells, diversity and complexity of immune response as well as the study on hemopoiesis.

免疫功能是白细胞的主要功能，免疫反应的多样性和复杂性令人困惑。30年前发现的免疫细胞的功能性极化促进了对淋巴细胞分化的研究，近年来对淋巴细胞、单核／巨噬细胞功能多极化的研究为阐明免疫细胞的调控网络奠定了基础，为阐明免疫反应的多样性和复杂性提供了线索，也为深入研究造血细胞的分化拓展了思路。

It was found that ApEn can reflect the degree of complexity of ISI data in every model.

结果表明，近似熵可以定量反映多种神经放电序列复杂性的变化，是一种较为有效的复杂性度量方法。

Lippmann declared that the proportion of the electorate that is "absolutely illiterate" is much larger than one would suspect and that these people, who are "mentally children or barbarians", are natural targets of manipulators.

他补充说，这种立场"没有能看到民主的复杂性和复杂性的民主性。""在一个对任何个人或者机构来说都太复杂，太难理解的世界里，如果没有同事、没有顾问、没有委员会，没有妥协，它是无法管理的"。

Three results are received:(1) The population of neurons can synchronize when the strength of gap junction is large enough and the process is chaotic and complex;(2) The nonlinear and complexity of the seriously disorder oscillation are larger than that of slightly disorder oscillation in a 2-D network;(3) The nonlinear and complexity of the oscillations with strong strength of gap junction are larger than that of that with weak strength of gap junction.

结果表明：电突触达到一定强度时神经元群才能同步振荡，这种活动是混沌和复杂的；同一网络中异常节律较严重的神经元活动的非线性和复杂性要强于异常节律较轻微的神经元；突触耦合强度较强时的神经元活动的非线性和复杂性要强于其在突触耦合强度较弱时的。

Ecosystem restorationists such as Packard on the prairie and Wingate on Nonsuch Island seem to find that large systems can be assembled by ratchetting up complexity once a system reaches a level of stability it tends not to easily fall back again , as if the system was " attracted " by the cohesion birthed by the new complexity .

生态恢复主义者如恢复大草原的帕卡德和楠萨奇岛的温盖特，似乎都发现可以通过逐渐提高复杂性来重组大型系统；一旦一个系统达到了稳定水平，它就不会轻易地再趋向后退，仿佛这个系统被新的复杂性带来的凝聚力所"吸引"。

The satisfiability of conjunction normal form is a typical NP-complete problem. To study the complexity of SAT problem, a new concept of saturated clause muster has been introduced with using the characteristic of saturated clause muster. The sufficient condition of SAT problem was approved to be a polynomial and has opened out essential distinction of 2SAT and 3SAT problems.

合取范式可满足性问题是典型的NP完全问题，本文引入了一个饱和子句集的新概念，利用饱和子句集的特性，研究了SAT问题的复杂性，证明了SAT问题复杂性为多项式的一个充分条件，并揭示了二元可满足性问题与三元可满足性问题的本质差别。

The complexity-based theory of pseudorandom number generation, cryptography, and

伪随机数的复杂性理论，密码系统和通讯复杂性等。

In recognition of his fundamental contributions to the theory of computation, including the complexity-based theory of pseudorandom number generation, cryptography, and communication complexity.

授 予姚期智图灵奖以表彰其在计算理论领域的基础性的卓越贡献，其中包括产生伪随机数的复杂性理论，密码系统和通讯复杂性等。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐