From e1a3cc5e9ebb6495724e11a8a649ca46c0490e37 Mon Sep 17 00:00:00 2001 From: str4d Date: Wed, 17 Feb 2021 06:46:28 +1300 Subject: [PATCH] book: Evaluation points are elements of fields, not groups Polynomials require both addition and multiplication, which fields have, whereas a group only specifies a single operation. --- book/src/background/polynomials.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/book/src/background/polynomials.md b/book/src/background/polynomials.md index afaf826..6ed4a0c 100644 --- a/book/src/background/polynomials.md +++ b/book/src/background/polynomials.md @@ -14,7 +14,7 @@ the formal indeterminate $X$ with some concrete value $x$, which we denote by $A > The word "point" here stems from the geometrical usage of polynomials in the form > $y = A(x)$, where $(x, y)$ is the coordinate of a point in two-dimensional space. > However, the polynomials we deal with are almost always constrained to equal zero, and -> $x$ will be an [element of some group](fields.md#groups). This should not be confused +> $x$ will be an [element of some field](fields.md). This should not be confused > with points on an [elliptic curve](curves.md), which we also make use of, but never in > the context of polynomial evaluation.