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单词 Bézout's theorem
释义

Bézout's theorem

Two algebraic curves in the complex projective plane, defined by two coprime polynomials of degrees m and n, have mn intersections counting multiplicities of intersections. For example, two parallel lines still meet in one (1×1) point at infinity, and a parabola and one of its tangent lines meet in a multiplicity two (2×1) intersection.

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更新时间:2025/4/30 4:21:54