On the maps preserving the equality of distance

In this paper, in connection with the known result of Baker and Vogt, we get if preserves equality of distance with dimension X?2 and Y is strictly convex, the range of f contains a segment, then f is affine.     

Vector Hulls of Affine Spaces and Affine Bundles

Every affine space A can be canonically immersed as a hyperplane into a vector space  , which is called the vector hull of A. This immersion satisfies a universal property for affine functions defined on A. In the same way, every affine map between affine spaces has a linear prolongation to their vector hulls. Though not much known, this construction is greatly clarifying, both for affine geometry and for its applications. The goal of this paper is to perform a thorough study of the vector hull functor and to describe its counterpart in the framework of affine bundles. With this respect, it is shown that the vector hull of some interesting affine bundles, and more specifically some jet bundles, can be identified with certain vector bundles.      

实验室认可的发展与体会

介绍实验室认可的发展过程与发展趋势。实验室认可的内涵是按章行事、全员参与、服务客户、实施预防、强化技术和不断完善。全面、灵活、文件资料多和要求严格是实验室认可的特点。组织落实、文件编制、人员培训、仪器档案整理、量值溯源、内审及管理评审是实施实验室认可的重要工作。     

非线性等式约束优化问题的仿射信赖域方法

提出非线性等式和有界约束优化问题的结合非单调技术的仿射信赖域方法. 结合信赖域方法和内点回代线搜索技术, 每一步迭代转到由一般信赖域子问题产生的回代步中且满足严格内点可行条件. 在合理的假设条件下, 证明了算法的整体收敛性和局部超线性收敛速率. 最后, 数值结果表明了所提供的算法具有有效性.     

Multiboson Realizations of Lie and Quant urn Algebras

A unified method to construct the (multi-)boson realizations of the Lie and quantum algebras is proposed based on a universal deformation of boson (Heisenberg-Weyl) algebra and its multiboson realization. Some explicit examples, the Lie algebras sl(2) and su (Ill), q-boson algebra, quantum algebras sl(2)_q and su (l,l)_q, along with the q-ladder algebra are studied in detail. In particular, the square boson realizations of su (1,l) and su (l,l)_q are naturally obtained as special cases.     

Two Kinds of Two-Boson Realizations of Generally Deformed Algebras with Three Generators

In this paper two kinds of two-boson realizations of generally deformed algebras with three generators are obtained by generalizing the Jordan-Schwlnger realizations of SU（2） and SU（1,1）. For each kind, a unitary realization and a non-unitary realizatlon, together with the properties of their acting spaces, are discussed. Similarity transformations that relate the non-unitary realizations to the unitary ones are given by solving unitarization equations.     

Fischer Matrices of the Affine Groups

Let GL_n(q) be the general linear group and let H_n ; V_n(q) · GL_n(q) denote the affine group of V_n(q). In [1] and [4], we determined Fischer matrices for the conjugacy classes of GL_n(q) where n = 2, 3, 4 and we obtained the number of conjugacy classes and irreducible characters of H₂, H₃, and H₄. In this paper, we find the Fischer matrices of the affine group H_n for arbitrary n.AMS Subject Classification Primary 20C15 Secondary 20C33     

Double random phase encoding method using a key code generated by affine transformation

We present a 4f optical security scheme by using a key code mask generated by an affine transformation operation. The key encrypting code produced through a pseudo-random pattern generated from a source image depends on the affine transformation parameters and the iteration number that control its random properties. This procedure offers the advantage over the conventional double random phase mask encryption technique that we do not need to send the encrypting mask itself to the authorizer user, but the set of elements that leads to the construction of the key code mask.     

非均匀分形插值函数的光滑性和Hlder指数

In this paper we consider the smoothness of fractal interpolation functions on a general set of nodes, and obtain the estimation of its Hlder exponent.     

Single Boson Realizations of the Higgs Algebra

We obtained for the Higgs algebra three kinds of single boson realizations such as the unitary Holstein-Primakoff-like realization, the non-unitary Dyson-like realization, and the unitary Villain-like realization. The corre-sponding similarity transformations between the Holstein-Primakoff-like realizations and the Dyson-like realizations are given.