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区间代数

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In this paper,we propose a concept called interval implicitization of rational bézier surfaces,that is ,finding an interval algebraic surface with lower degree which bounds a given parametric rational bézier surface such that some objective function involving the width and the tention term of the interval algebraic surface is minimized.

本文提出有理Bézier曲面的区间隐式化的概念,即找到一条较低次的区间代数曲面使得给出的有理Bézier曲面落在该区间代数曲面内,并使得一包含区间代数曲面的宽度和张量项的目标函数达到最小。

Interval algebra is a tool of qualitative temporal reasoning. It is widely used in artificial intelligence.

区间代数是一种用来进行定性时态推理的工具,它在人工智能中有着广泛的用途。

Interval Algebra is a temporal theory, which is independent from specific applications.

区间代数是一种独立的与领域无关的时态理论。

Used qualitative model space and interval algebra to depict the solving method combining the quality and quantity.

用定性模空间和区间代数刻划了定性定量相结合的求解方法。

A vector named as relation vector to describe relations existing between intervals presented is used by Allen in his Interval algebra theory.

文中为Allen的区间代数理论中区间的关系表达提出了向量表示法,称之为关系向量。

The article based on temporal knowledge representation theory, used Allen's interval algebra method, studied temporal problem in the continual fault stage.

该文基于时态知识表示理论,通过Allen区间代数方法,研究了相继故障的时序问题。

Established the qualitative algebra space: proposed the symbol algebra and interval algebra space and applied them to the qualitative reasoning; proposed qualitative logic algebra and applied it to the multi-logic problems.

建立了定性代数空间,提出了符号代数和区间代数空间并分析了在定性推理中的应用;提出了定性逻辑代数空间,并应用于物理量之间的多值逻辑问题。

This paper takes advantage of interval algebra and rectangle algebra theories. and brings forward a new reasoning method based on combination of the MBR model's cardinal direction relation and rectangle algebra relation; And provides the composing method based on the direction relation matrix by using the direction relation matrix to denote the direction relations between the objects'MBRs.

本文以物体的MBR为模型,利用区间代数及矩形代数理论,提出了一种基于MBR的主方向关系与矩形代数关系相结合的推理方法;同时利用方向关系矩阵表示物体MBR之间的方向关系,得到了基于方向关系矩阵的组合推理方法。

The paper introduces Allen's interval algebra and the extension-the INDU network, applies the Heisenberg Uncertainty Principle to the INDU network, and deletes the fifteen basic relations of INDU where the intervals have at least one same endpoints or the same durations.

介绍了Allen的区间代数及其扩展-INDU网络,将Heisenberg不确定性原理应用于INDU网络,并将INDU的25种基本关系中两区间有端点相等或区间段相等的15种关系删除。

Uncertain temporal relations can be represented and reasoned by IA. IA has strong expressive ability in tense, and it can represent all natural temporal relations. At the same time, temporal relation represented by IA is highly visual and comprehensive. In additional, IA has been extended from one-dimension temporal area to two-dimension spatial area, that is to say, interval algebra can be developed to rectangle algebra for two-dimension reasoning.

区间代数能表示不确定的时态关系,可以很方便地用于时态推理,表达能力强;时态关系的区间表示比较直观,可理解性强;同时区间代数可以进一步扩展到二维空间领域,即将区间代数拓展为矩阵代数,实现二维空间推理。

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