representation theory

representation theory的基本解释

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表象理论

与representation theory相关的网络例句 [注：此内容来源于网络，仅供参考]

The specifically used learning-theories are Thorndike"s, error-tried learning-theory Pavlov"s conditioning learning-theory, Watson"s learning-theory, Guthrie"s neighboring learning-theory, Estes"s sampling learning-theory, Skinner"s manipulating learning-theory, Wertheimer"s learning-theory, Wulf"s learning-theory, Lewin"s surroundings cognizing learning-theory, Piaget"s constructing learning-theory, Bruner"s cognizing structure learning-theory, Ausubel"s assimilating cognize learning-theory, processing information learning-theory, Tolman"s signal learning-theory, Grgne"s accumulating learning-theory, Bandura"s society learning-theory, Rogers"s learning-theory.

具体所应用的学习理论包括：桑代克试误学习理论；巴甫洛夫条件作用学习理论；华生学习理论；格思里邻近学习理论；埃斯蒂斯抽样学习理论；斯金纳操作学习理论；韦特墨学习理论；沃尔夫学习理论；勒温认知一场学习理论；皮亚杰建构学习理论；布鲁纳认知结构学习理论；奥苏贝尔认知同化学习理论；信息加工学习理论；托尔曼信号学习理论；加涅积累学习理论；班杜拉社会学习理论和罗杰斯学习理论。

That is that information processing of neural networks is viewed as the composition of the two steps: field organization and field action, in which, field organization transformation converts input pattern into relevant structure representation, extracting the underlying architecture features and forms a architecture representation in action transformation space; The field action transformation converts the features representation into expected output. In strategies, we use the dual affine coordinates in dual flat manifold as way of representation of field organization system and field action system, which established a theoretical framework of analysis the coupling mechanism of information processing from the view of point of structure representation and model generation.

在具体人工神经网络结构描述的策略上，利用对偶流形空间上的对偶仿射坐标概念分别表示场组织变换系统和场反应变换系统，建立起从问题的结构表示和模型生成两种观点来分析信息处理的理论框架；分析了有监督和非监督学习人工神经网络模型在神经场变换机理下的形式化描述。

This paper presents an IFMC CAD model that consits of a geometry model and a material model, in which the geometry space acts as a base space and the material space acts as a bundle space. In this CAD model, the geometry model is based on the non-manifold model. In addition, a half-face data sturucture, which is derived from the half-edge data structure with the non-manifold feature of IFMC taken into account, is adopted to represent the geometry and topology information of the component. For the material model of IFMC, this paper focuses on the FGM component representation firstly and present a simplex-subdivision based CAD data exchange format, in which the material information is represented as a (n-1) simplex and material distributing feature is represented by the interpolation on the simplex-subdivision. Based on those, a part-building orientation optimization algorithm and an adaptive slicing algorithm for FGM component are presented in the paper. For the IFMC material model, the IFMC material information representation is divided into a meso-scale and a macro-scale representation. In the meso-scale, a concept named parameterized periodic functional meso-structure is presented as a unique form to represent the FGM (the homogeneous materials are regarded as a special FGM), the composite and the functional meso-structure material. The model of PMS is a three-tuple that contains the space state informatation, the material parameter and the material meso-scale distribution feature. The macro-scale material information representation is similar to the FGM components by interpolation of the control parameter of the periodical functional meso-structure based on the simplex-subdivision. Through an example of manufacturing-oriented IFMC CAD data processing, it is proved that the IFMC CAD model and the material information representation and process method proposed in this paper can provide a reliable data support for IFMC digital concurrent design and manufacturing.

本文将理想材料零件CAD模型建立在以几何空间为底空间、以材料空间为丛空间的结构上，使用非流形几何模型作为理想材料零件几何拓扑模型的基础，并在半边数据结构基础上，针对理想材料零件的非流形特征局限内部边界上的特点，给出了一个半面数据结构来表述零件的几何拓扑信息；对于理想材料零件的材料模型，本文先从功能梯度材料零件的信息表述与CAD数据交换和处理入手，将材料信息表述为（n-1）维单纯形，然后通过对三维几何区域的单纯剖分，以插值的方式表述零件材料分布特征；在此基础上，根据功能梯度材料零件分层制造中对CAD数据处理的要求，给出了综合考虑零件几何特征与材料特征的生长方向优化算法和自适应切片算法；而对于文中所定义的理想材料零件，本文将其材料信息表述分解到细观和宏观两个尺度进行，首先给出了细观尺度上参数化的周期性功能细结构概念，以此来统一表述功能梯度材料（单质材料作为特殊的功能梯度材料看待）、复合材料和功能细结构材料；把周期性功能细结构模型化为一个包含空间状态信息、材料构成参数和材料细观分布特征参数的三元组，以表达零件的细观材料特征；对于零件宏观的材料变化特征，则同样在几何区域单纯剖分的基础上，通过对细观尺度上周期性功能细结构控制参数的插值来完成；通过理想材料零件CAD数据处理的算例，验证了本文中理想材料零件CAD模型及材料信息表述与处理方法完全可以为理想材料零件的数字化制造提供可靠的数据支持。

与representation theory相关的网络解释 [注：此内容来源于网络，仅供参考]

representation theory：表示论

representation space 表示空间 | representation theory 表示论 | representative 代表

representation theory：表示法理论

Reports on Mathematical Physics 数学物理学报告 | Representation Theory 表示法理论 | Robotics and Autonomous Systems 机器人技术和自动系统

representation theory：表现理论

表现空间 representation space | 表现理论 representation theory | 表现;代表;表示式 representative

representation theory：表象理论

representation system 表示系统 | representation theory 表象理论 | representative area 示范区

Discourse Representation Theory：篇章表征理论 [言谈表示理论]

discourse planning 篇章规划 | Discourse Representation Theory 篇章表征理论 [言谈表示理论] | discourse strategy 言谈策略