组合无效定理的动机论述

arXiv - MATH - History and Overview Pub Date : 2024-03-23 DOI:arxiv-2404.10778

M. Lozhkin, A. Skopenkov

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引用次数: 0

摘要

在这篇说明性文章中，我们将展示阿隆索（N. Alonnaturally）所著的组合零点定理是如何自然而然地出现在基本问题的解答中的。简单的思想逐渐自然地出现在这些解法中，从而使读者获得概括。非该领域专业数学家和熟悉多项式的学生都可以阅读本说明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Motivated exposition of combinatorial Nullstellensatz

In this expository note we show how combinatorial Nullstellensatz by N. Alon naturally appears in solutions of elementary problems. Simple ideas gradually and naturally appear in such solutions, thus bringing a reader to generalizations. The note is accessible to mathematicians not specialized in the area, and to students familiar with polynomials.

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arXiv - MATH - History and Overview

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