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Automated Generation of Human-Readable Proofs in Geometry

Automated Generation of Human-Readable Proofs in Geometry
自动生成人类可读的几何证明
批准号:
9420857
负责人:
Shang-Ching Chou
金额:
$20.49万
依托单位:
依托单位国家:
美国
项目类别:
Continuing Grant
财政年份:
1995
资助国家:
美国
项目状态:
已结题
起止时间:
1995-04-15 至 1998-09-30

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中文摘要
翻译
该项目继续调查自动 几何学中定理的证明。 重点是短, 证明。 为此,新发现的面积法和新 基于其他几何概念的方法,如全角和 三角函数正在开发中。 这些技术的推广正在 寻求几何不等式以及非欧几里德和高维几何。 这些技术正在一个具有 复杂的图形显示。
英文摘要
This project continues investigation of automatic generation of proofs of theorems in geometry. The emphasis is on short and proofs. For this, the newly discovered area method and new methods based on other geometrical concepts, such as full angles and trigonometric functions, are being developed. Extension of these techniques are being sought to geometric inequalities as well as to non-Euclidean and higher- dimensional geometries. The techniques are being implemented in a system with a sophisticated graphics display.
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Automated Geometry Reasoning and Methods for Diagram Generation
  • 批准号:
    0201253
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $23.61万
  • 财政年份:
    2002
  • 负责人:
    Shang-Ching Chou
  • 依托单位:
Automated Geometry Reasoning and Diagram Constructing
  • 批准号:
    9901062
  • 项目类别:
    Standard Grant
  • 资助金额:
    $22.26万
  • 财政年份:
    1999
  • 负责人:
    Shang-Ching Chou
  • 依托单位:
Automated Reasoning in Geometry and Mechanics
  • 批准号:
    9117870
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $18.37万
  • 财政年份:
    1992
  • 负责人:
    Shang-Ching Chou
  • 依托单位:
国内基金
海外基金
Next Generation Majorana Nanowire Hybrids