论文标题
副数字的Bézout系数近似于二次Bézier曲线
Bézout coefficients of coprime numbers approximate quadratic Bézier curves
论文作者
论文摘要
给定点$（p，q）$带有非负整数坐标和$ p \ not = q $，我们证明，相对于点$ $（p，q）$，$（q）$，$（q）$（q）$（q）$（q，q，p）$的二次bézier曲线大约是终点的居民属于beefients coeffers coeffients coeffers coeffients coeffers coeffers of befients coeffers coeffers coeffers coeffers of befients coeffients coeffients。 $（p，q）$和$（q，p）$。
Given a point $(p,q)$ with nonnegative integer coordinates and $p\not=q$, we prove that the quadratic Bézier curve relative to the points $(p,q)$, $(0,0)$ and $(q,p)$ is approximately the envelope of a family of segments whose endpoints are the Bézout coefficients of coprime numbers belonging to neighborhoods of $(p,q)$ and $(q,p)$, respectively.
