交互式多媒体中的艺术形态研究

计算机和人类所构建的交互式环境已经进入了我们的生活,交互形式的艺术性也正逐渐的被人们所重视,真实世界与虚拟世界的界限正在被逐渐淡化,人作为"人机交互"的一个主观能动者存在于交互形式中,而形式本身所隐含着文化、艺术正在逐渐的影响着交互式多媒体的艺术形态。     

论汉字传统图式的继承与再造

汉字是世界上最古老的文字之一,经由图画演变而来,是语言图像化、符号化的典范。随着文明的演进,汉字经历了各种书体的流变,也衍生出许多独特的图式。这些图式范围广泛、形式多样,是传统文化的积淀与体现。本文从阐述汉字传统图式的概念及其产生的文化背景入手,探讨汉字传统图式继承与再造的必然性,并总结归纳出继承与再造的方法。     

Symbolic computation of the Birkhoff normal form in the problem of stability of the triangular libration points

The problem of stability of the triangular libration points in the planar circular restricted three-body problem is considered. A software package, intended for normalization of autonomous Hamiltonian systems by means of computer algebra, is designed so that normalization problems of high analytical complexity could be solved. It is used to obtain the Birkhoff normal form of the Hamiltonian in the given problem. The normalization is carried out up to the 6th order of expansion of the Hamiltonian in the coordinates and momenta. Analytical expressions for the coefficients of the normal form of the 6th order are derived. Though intermediary expressions occupy gigabytes of the computer memory, the obtained coefficients of the normal form are compact enough for presentation in typographic format. The analogue of the Deprit formula for the stability criterion is derived in the 6th order of normalization. The obtained floating-point numerical values for the normal form coefficients and the stability criterion confirm the results by Markeev (1969) and Coppola and Rand (1989), while the obtained analytical and exact numeric expressions confirm the results by Meyer and Schmidt (1986) and Schmidt (1989). The given computational problem is solved without constructing a specialized algebraic processor, i.e., the designed computer algebra package has a broad field of applicability.     

略论平面广告的互动设计形式

数字式信息传播在现代人类生活中发挥着越来越大的作用,网络、手机、互动电视等新兴媒体成为人们信息获取的重要来源,这些结合了视、听等多感官刺激的媒体不仅满足了人们在获取信息时的感官多样性、多层次需要,更预示着现代人类对互动的思维方式的渴望。这种渴求也使得是否互动成为当代广告成功的关键。如何将互动这个"动"的概念融合到"静"的平面广告中,成为平面广告研究的重要课题。     

记忆与延续——浅析苏州博物馆与宁波博物馆建筑设计

博物馆建筑,是一个城市文化的象征,如何使博物馆具有文化感,体现传统的审美文化,又具有新的设计元素,引导人类审美意识,苏州博物馆与宁波博物馆做了比较好的探索。     

Ten commandments for good default expression simplification

This article provides goals for the design and improvement of default computer algebra expression simplification. These goals can also help users recognize and partially circumvent some limitations of their current computer algebra systems. Although motivated by computer algebra, many of the goals are also applicable to manual simplification, indicating what transformations are necessary and sufficient for good simplification when no particular canonical result form is required.After motivating the ten goals, the article then explains how the Altran partially factored form for rational expressions was extended for Derive and for the computer algebra in Texas Instruments products to help fulfill these goals. In contrast to the distributed Altran representation, this recursive partially factored semi-fraction form:

•

does not unnecessarily force common denominators,

•

discovers and preserves significantly more factors,

•

can represent general expressions, and

•

can produce an entire spectrum from fully factored over a common denominator through complete multivariate partial fractions, including a dense subset of all intermediate forms.

     

A local construction of the Smith normal form of a matrix polynomial

We present an algorithm for computing a Smith form with multipliers of a regular matrix polynomial over a field. This algorithm differs from previous ones in that it computes a local Smith form for each irreducible factor in the determinant separately and then combines them into a global Smith form, whereas other algorithms apply a sequence of unimodular row and column operations to the original matrix. The performance of the algorithm in exact arithmetic is reported for several test cases.     

An explicit duality for quasi-homogeneous ideals

Given r≥n$r\ge n$ quasi-homogeneous polynomials in n$n$ variables, the existence of a certain duality is shown and made explicit in terms of generalized Morley forms. This result, that can be seen as a generalization of [Corollary 3.6.14, Jouanolou, J.-P., 1996. Résultant anisotrope, compléments et applications. Electron. J. Combin. 3 (2), Research Paper 2, approx. 91 pp. (electronic), the Foata Festschrift] where this duality is proved in the case r=n$r=n$, was observed by the author at the same time. We will actually closely follow the proof of the above-cited corollary in this paper.     

改进果蝇算法在净化除钴过程锌粉量优化设定中的应用

本文提出一种基于细菌迁徙的自适应果蝇算法(CAFOABM),用于求解净化除钴过程锌粉添加量优化设定问题.首先从净化除钴的反应机理出发,通过引入除钴率建立锌粉添加量与氧化还原电位值、出口钴离子浓度间带约束的非线性优化设定模型;为了避免果蝇算法在迭代寻优过程中出现停滞现象,CAFOABM引入多种群并行搜索策略和改进搜索算子对搜索状态的转移规则进行改进;并采用区分可行解与不可行解法进行约束处理,保留一定比例的不可行解个体,有效避免了有用解信息的丢失.实际生产数据验证结果表明,CAFOABM算法优化设定的锌粉添加量与人工操作的经验数据相比减少7.83%,出口钴离子浓度满足实际生产要求且趋于平稳.     

Time-relevant stability of 2D systems

For many 2D systems, one of the independent variables plays a distinct role in the evolution of the trajectories; since often this special independent variable is time, we call such systems ‘time-relevant’. In this paper, we introduce a stability notion for time-relevant systems described by higher-order difference equations. We give algebraic tests in terms of the location of the zeros of the determinant of a polynomial matrix describing the system. We also give an LMI characterization of time-relevant stability involving only constant matrices.