# Bounds on Distance to Variety in Terms of Coefficients of Bivariate Polynomials

## TL;DR

This paper discusses bounds on the distance from a point to a variety, expressed in terms of the Taylor coefficients of bivariate polynomials at that point.

## Contribution

It introduces bounds relating the distance to a variety with the Taylor coefficients of bivariate polynomials, providing new insights into polynomial geometry.

## Key findings

- Derived bounds on distance to variety using Taylor coefficients
- Applicable to bivariate polynomial cases
- Offers a theoretical framework for polynomial approximation

## Abstract

A short note on bounds on distance to variety of a point in terms of the Taylor coefficients at the point.