查询词典 linear operator

As a result, we have demonstrated that the best approximating operator and the best approximating of bounded linear operator in H10 and H1a,+∞ are consistent and, at the same time, we have generalized the theorem of the best approximating of bounded linear operator to the more universal H1

然后，我们说明了在这样的索伯列夫空间上定义的样条插值算子和最佳逼近算子是一致的，同时把有界线性算子的最佳逼近定理也推广到了一般的索伯列夫空间H~1a，+∞上去。

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。

Juncai Glass Machinery Co., Ltd has 10 product series and more than 30 kinds of machines presently, including Glass Linear Double-edging Machine , High-grade Furniture Series (26-Grinding Head), General Series(22-Grinding head), Construction Series(16-Grinding Head), Sandwich Hollow Glass Series (12-Grinding Head), Automatic Cutting Unit Series, Linear Double-edging Machine Series, Linear Double-round edging Machine Series, Glass Linear Edging Machine for Bevel Edge, Linear Single-edging Machine Series, Linear Single-round Edging Machine Series, Automatic and Manual Special Edging Machine Series, Automatic Vertical and Horizontal Drilling Machine Series, Glass Sandblasting Machine Series and Glass Washing Machine Series

骏彩现有产品十大系列、三十多种机型，包括玻璃双直边磨边机，高档家具系列（26磨头）、通用系列（22磨头）、建筑系列（16磨头）、夹层中空玻璃系列（12磨头）、自动切割机组系列，直线双边机系列，直线双圆边机系列，斜边机系列，直线单边机系列，直线单圆边机系列，自动、手动异形机系列，自动立式、卧式钻孔机系列，喷砂机系列，清洗机系列。

Juncai Glass Machinery Co., Ltd has 10 product series and more than 30 kinds of machines presently, including Glass Linear Double-edging Machine , High-grade Furniture Series (26-Grinding Head), General Series(22-Grinding head), Construction Series(16-Grinding Head), Sandwich Hollow Glass Series (12-Grinding Head), Automatic Cutting Unit Series, Linear Double-edging Machine Series, Linear Double-round edging Machine Series, Glass Linear Edging Machine for Bevel Edge, Linear Single-edging Machine Series, Linear Single-round Edging Machine Series, Automatic and Manual Special Edging Machine Series, Automatic Vertical and Horizontal Drilling Machine Series, Glass Sandblasting Machine Series and Glass Washing Machine Series

骏彩现有产品十大系列、三十多种机型，包括玻璃双直边磨边机，高档家具系列（26磨头）、通用系列（22磨头）、建筑系列（16磨头）、夹层中空玻璃系列（12磨头）、自动切割机组系列，直线双边机系列，直线双圆边机系列，斜边机系列，直线单边机系列，直线单圆边机系列，自动、手动异形机系列，自动立式、卧式钻孔机系列，喷砂机系列，清洗机系列。中国玻璃艺术网|中国艺术玻璃网|中国玻璃书店|中国玻璃耗材网|移门图库大全|翰林轩玻璃图库8sSMlf/ah

Main Products: ABBA linear guide, ABBA ball screw, HIWIN linear guide, HIWIN Ball Screw, THK linear guide / Ball Screw, XINHAN linear optical axis, IKO, THK, KMC linear bearings, NSB stainless steel linear bearings , APEX planetary reducer, a dedicated servo reducer, Japan Miki non-excited brake, clutch gear, special-purpose power / stepless speed regulation device Miki / Miki brakes, clutch and group body Miki dedicated servo coupling / engineering machinery dedicated joint coupling, ATLANTA worm gear reducer and a dedicated connection element, high-precision gear shaft, ATLANTA high-precision gears, ATLANTA rack and the rack and a straight body slide group, HSK screw support blocks, NOK seals, SAKACAMI seals, NAK seals, Taiwan gold cylinder, solenoid valve, gas control valve, mechanical valve, manual valves, pneumatic components, precision implementation of components and accessories, imported bearings such as NSK, SKF, INA; FAG; RHB; TIMKEN, etc..

主营产品：ABBA直线导轨、ABBA滚珠丝杆、HIWIN直线导轨、HIWIN滚珠丝杠、THK直线导轨/滚珠丝杠、XINHAN直线光轴、IKO、THK、KMC直线轴承、NSB不锈钢直线轴承、APEX行星减速机、伺服專用減速机、日本三木无励磁刹车、齿式离合器、专用电源/三木无级调速器/三木刹车、离合器及组体、三木伺服专用联轴器/工程机械专用联轴器、ATLANTA蜗轮蜗杆减速机及专用联接元、高精度齿轮轴、ATLANTA高精度齿轮、ATLANTA齿条及齿条与直线滑轨组体、HSK螺杆支撑座、NOK密封件、SAKACAMI密封件、NAK密封件、台湾金器气缸、电磁阀、气控阀、机械阀、手控阀、气动元件、精密执行元件及附件、进口轴承如NSK，SKF、INA；FAG；RHB；TIMKEN等。

First we prove that 0 is an eigenvalue of the operator with geometric multiplicity one,next we prove that all points on the imaginary axis except for zero belong to the resolvent set of the operator,last we prove that 0 is an eigenvalue of the adjoint operator of the operator.

首先证明0是对应于该排队模型的主算子的几何重数为1的特征值，其次证明在虚轴上除了0以外其他所有点都属于该算子的豫解集，然后证明0是该主算子共轭算子的特征值。

While touchscreen operator terminals remain the fastest growing and most publicized sector of the Chinese operator terminal market, non-touchscreen terminals, including text displays, text operator terminals, and graphic operator terminals, are still displaying a steady growth rate in China, according to a new market report released by IMS research.

根据IMS调查公司发布的市场报告，触摸屏操作终端在中国的操作终端市场保持着最快速的增长，并成为最引人注目的部门，但与此同时非触摸操作终端，包括字符显示、字符操作终端和图形操作终端，也显示了稳定的增长速率。

Thirdly,quasi-normal inequalities of a-variation maximal operator and a-conditional variation maximal operator of scalar predictable tree martingales areidentified by the use of martingale transforms and by the construction of convex or concave function method;on this basis and with the help of previsiblity or regu-larity,Burkholder-Davis-Gundy\'s inequality of a-variation maximal operator and a-conditional variation maximal operator of scalar predictable tree martingales are iden-tified by the application of Hardy-Lorentz interpolation theory.At the same time,bythe use of G.

再次，应用鞅变换和构造凸或凹函数方法证明了标量值可料树鞅的α-方极大算子和α-条件方极大算子的拟范数不等式；然后，在这些拟范数不等式的基础上，应用Hardy-Lorentz空间插值方法证明了当树鞅是可控或正规树鞅时关于标量值可料树鞅α-方极大算子和α-条件方极大算子的Burkholder-Davis-Gundy's不等式成立。

The network space is the typical form of abstract space when it comes to the digital stage.

网络空间是抽象空间数字化阶段的典型形式。

The Notarial System,as the system of judicial certification in our country,is both the constructor and the defender of social credit system,It has its special value and function in the social honesty.

公证制度作为我国司法证明制度，既是社会信用体系的建设者，同时也是社会信用的捍卫者，在诚信中有其特殊的价值和功能。