代数几何

All these results provide some theoretical foundation and justification for the DAE control system design.

这些工作一定程度上为电力系统基于微分代数模型的几何控制设计提供了理论基础。

In recent years, some new research methods such as mordern geometric method and differential algebra method have been applied to the study of control theory according to the development of nonlinear science, and it is possible for us to solve complicated enginering systems with the development of computer science, which promotes the investigation of complicated control systems.

近年来，非线性科学的发展，特别是现代微分几何，微分代数理论的出现，为非线性控制理论的研究提供了新的工具。

Gauss, Karl Friedrich1777-1855German mathematician and astronomer known for his contributions to algebra, differential geometry, probability theory, and number theory.

高斯，卡尔·弗雷德里希1777-1855德国数学家和天文学家，因其对代数、微积分几何、或然率理论和数字理论的贡献而为人称道

German mathematician and astronomer known for his contributions to algebra, differential geometry, probability theory, and number ''.

高斯，卡尔·弗雷德里''。'希'。''1777－1855德国数学家和天文学家，因其对代数、微积分几何、或然率''。'理论'。''和数字''。

This book is intended to provide a working knowledge of those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles, and Chern forms that are essential for a deeper understanding of both classical and modern physics and engineering.

本书试图提供外微分形式、微分几何、代数拓扑、微分拓扑、李群、向量丛、Chern公式等前沿知识，它们对于深入理解经典物理、现代物理以及工程都是必需的。

However, Diophantus\' solution is strictly algebraic, unlike the quasigeometric Babylonian solution.

但是，丢番图的解是严格代数的，而不像巴比伦人的解是拟几何的。

The final part, suitable for third year students, uses ideas from algebra, analysis, calculus and geometry to study more advanced topics such as Dirichlet series and sums of squares.

最后部分，为三年级学生适用，使用从代数，分析，计算和几何研究诸如Dirichlet级数和平方和更高级的主题思想。

The non-commutativity of two gen-erators in an algebra or a group can usually lead to a certain geometrical phase.whose magnitude is generally an area of a circuit(e.g.a triangle)in a certain space.such as the spherical surface or the Euclidean plane.

通常一个群或且一个代数中两个生成元的不对易性会导致某种几何相位。这种相位可能对应于球面或且欧几里德平面几何中某个闭合回路的面积。

The new results in the study of the Euler characteristic by using the decomposition of gauge fields were described.

对近几年用几何代数方法建立的规范场可分解理论进行了详细的评述，并给出了应用它研究欧拉示性数的新结果。

In this paper, mathematical analysis, linear algebra is more material as the foundation, on the basis of previous studies, will solve a number of the function extreme value methods, such as distribution method, elimination method, the discriminant method, mean inequality method, the geometric method, vector method and derivative method, and so to summarize, and on this basis is given for each method the corresponding examples to illustrate for readers to reference and understanding.

本文以数学分析、线性代数更教材为基础，在前人研究的基础上，将求解函数极值的若干方法，如配方法、消元法、判别式法、均值不等式法、几何法、向量法和导数法等等进行归纳总结，并在此基础上针对每一种方法给出相应的例子加以说明，以便读者参考和理解。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。