课题基金 / 基金详情

Cylindrical Algebraic Decomposition and Quantifier Elimination

Cylindrical Algebraic Decomposition and Quantifier Elimination
圆柱代数分解与量词消去
批准号:
9712246
负责人:
George Collins
金额:
$9.51万
依托单位:
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
1997
资助国家:
美国
项目状态:
已结题
起止时间:
1997-08-15 至 2001-07-31

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中文摘要
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英文摘要
This project continues investigation of the cylindrical algebraic decomposition (CAD) technique. This technique, developed in 1975 for quantifier elimination in the elementary theory of real- closed fields, has been continually improved in the last twenty years. A vast number of mathematical problems can be expressed in this theory and, potentially, solved via quantifier elimination. CAD has many applications, including control engineering, connectivity and path finding problems. Major improvements are also being made to the algebraic algorithms needed for CAD, including polynomial resultants and greatest common divisors, polynomial factorization, polynomial root isolation and refinement, and computations with algebraic numbers.
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  • 批准号:
    0097061
  • 项目类别:
    Standard Grant
  • 资助金额:
    $21.0万
  • 财政年份:
    2001
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    1997
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  • 依托单位:
U.S.-Japan Cooperative Science: Exploring Electron Beam Assisted ALE and P-Type Conductivity Control of III-V Nitrides
  • 批准号:
    9512857
  • 项目类别:
    Standard Grant
  • 资助金额:
    $2.08万
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    1996
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GOALI/IUCRP: Uniform Grain Size Polysilicon for Thin Film Transistors
  • 批准号:
    9424399
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $33.15万
  • 财政年份:
    1995
  • 负责人:
    George Collins
  • 依托单位:
国内基金
海外基金
同伦和Hodge理论的方法在Algebraic Cycle中的应用
  • 批准号:
    11171234
  • 项目类别:
    面上项目
  • 资助金额:
    40.0万元
  • 批准年份:
    2011
  • 负责人:
    胡文传
  • 依托单位: