查询词典 kernel of linear mapping

A method of the surface combination based on classification or Euler Operation and the computation of the surface boundaries of a surface is offered to finish the geometry mapping of surfaces between half-edge model and the closed_shell branch of manifold surface model. Moreover, the concepts of conformal-shape geometrical mapping and topological mapping are given. The bi-directional conformal-shape topological mapping between half-edge model and the closed_shell branch of manifold surface model is proved.

提出了一种基于等价分类和欧拉操作的面片合成和曲面边界计算方法，完成了半边模型到流形曲面模型closed shell枝的曲面几何映射；给出了保形几何和保形拓扑映射概念，证明了半边模型到流形曲面模型的closed_shell分枝的双向保形拓扑映射。

Considering 0is descendible mapping, using character of descendible mapping and Cartesian product, one-dimensional self-mapping is extended to n -dimensional self-mapping.

考虑是可降映射，本文利用可降映射的特征及笛卡尔积运算，将一维自映射的情形向更为一般地一类n维自映射进行了推广。

Inspired by these results, in this paper, we first give the definition of a new mapping ? uniformly Lipschitz asymptotically nonexpansive mapping on a compact subset of a uniform convex Banach space, then construct three-step iterative sequences of uniformly Lipschitz asymptotically nonexpansive mapping in this subset . We proved the convergence of this three-step iterative sequences for uniformly Lipschitz asymptoticallynonexpansive mapping, Further more, we proved this three-step iterative sequences with an error member converge to fixed points.

从中得到启发，在本文我们首先定义了一致凸Banach空间某非空紧子集上的一种新的映射——一致李普希兹渐进非扩张映射，在该紧子集上构造关于一致李普希兹渐进非扩张映射的三步迭代序列以及具误差的三步迭代序列，先来讨论三步迭代序列的收敛性，进而讨论具误差的三步迭代序列的收敛性。

Project construction is in the national spatial coordinate reference frame, based on the use of high-tech means of Geodesy, in Baotou city, the information on outcomes and quality of the original plane, gravity surveying and mapping information, etc. Based on the results, in accordance with unified planning and overall design principles, laid covering the city's domain sets plane, elevation, gravity field information based on the integrated control network formed by the geodetic datum, elevation and gravity reference base composed of high-precision, three-dimensional center of the earth and practical reference Baotou modern surveying and mapping system for the "Digital Baotou" construction and large-scale mapping projects such as surveying and mapping provides a unified spatial orientation reference.

项目建设是在国家空间坐标基准框架的基础上，利用大地测量的高新技术手段，在包头市原有平面成果资料和水准、重力资料等测绘成果的基础上，按照统一规划、整体设计的原则，布设覆盖全市域集平面、高程、重力场信息于一体的综合性基础控制网，形成由大地基准、高程基准和重力基准等组成的高精度、三维地心、实用的包头市现代测绘基准体系，为&数字包头&建设和大比例尺测图等测绘工程提供了统一的空间定位基准。

State Bureau of Surveying and Mapping part of the old leadership of vice-ministerial level Qing, Jin-wen, deputy secretary of the Party Group, WANG Chun-feng, deputy director, the State Bureau of Surveying and Mapping party members, deputy director Li Weisen, Song Chao-chi, Min Yi-jen, the State Bureau of Surveying and Mapping party members, the discipline inspection team leader Zhang years, the State Bureau of Surveying and Mapping party members, Director of the Office Wuzhao Qi attended the meeting, the Council attended the meeting as chief engineer Xu Yan infants.

国家测绘局部分副部级老领导李青、金祥文，局党组副书记、副局长王春峰，国家测绘局党组成员、副局长李维森、宋超智、闵宜仁，国家测绘局党组成员、纪检组长张荣久，国家测绘局党组成员、办公室主任吴兆琪参加会议，局总工程师胥燕婴列席会议。

Recently, the Shaanxi Provincial Bureau of Surveying and Mapping forwarding "State Bureau of Surveying and Mapping on conscientiously study and implement the CPC Central Committee Political Bureau Standing Committee, Vice Premier Li Keqiang visited the National Geographic Information Fair application of the results and map important speech at the time of notice"(Shan-fat 〔2009 test run 〕 45号), the deployment of the province's industries mapping study and implement the important speech made by Vice Premier Li Keqiang, the spirit and speed up information-based mapping system, effectively improve the security services the ability to better serve economic and social development.

近日，陕西省测绘局转发《国家测绘局关于认真学习贯彻中共中央政治局常委、国务院副总理李克强参观全国地理信息应用成果及地图展览会时的重要讲话精神的通知》（陕测办发〔2009〕45号），部署全省测绘行业学习贯彻李克强副总理重要讲话精神，加快信息化测绘体系建设，切实提高保障服务能力，更好地服务于经济社会发展。

The last century, 60 years to 70 years to complete from the hand plane table mapping to the analog-ray mapping changes, a series of mapping research of key technologies, and promoted the formation of national surveying and mapping technology system.

在服务共和国经济社会发展的进程中，陕西测绘局坚持以科技创新为动力，紧密跟踪测绘科技发展趋势，努力培养测绘人才，积极引领新技术在测绘生产实践中的应用。

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。

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。

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。

Chimborazo and Cotopaxi, took me by the hand.

越过琴博腊索山和科托帕克西山。

This car is in a good condition.

这辆车的状况很好。