REAL PIECEWISE ALGEBRAIC VARIETY

• 来源期刊: 计算数学（英文版）
• 学科: 数学
• 关键词: Dimension Real piecewise algebraic variety Cμ spline ring.
• 年，卷（期）: 2003,（4）
• 页码范围: 473-480
• 页数: 8页
• 分类号: O24
• 语种: 英文

摘要

We give definitions of real piecewise algebraic variety and its dimension. By using the techniques of real radical ideal, P-radical ideal, affine Hilbert polynomial, Bernstein-net form of polynomials on simplex, and decomposition of semi-algebraic set, etc., we deal with the dimension of the real piecewise algebraic variety and real Nullstellensatz in Cμ spline ring.