<?xml version="1.0" encoding="utf-8" standalone="yes"?><rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom" xmlns:content="http://purl.org/rss/1.0/modules/content/"><channel><title>Mathematics on Effective Field</title><link>https://effectivefield.com/tags/mathematics/</link><description>Recent content in Mathematics on Effective Field</description><generator>Hugo</generator><language>en-us</language><lastBuildDate>Wed, 30 Jul 2025 00:00:00 +0000</lastBuildDate><atom:link href="https://effectivefield.com/tags/mathematics/index.xml" rel="self" type="application/rss+xml"/><item><title>Classification of Different Analogies in Mathematical Physics</title><link>https://effectivefield.com/posts/classification-of-analogies-in-mathematical-physics/</link><pubDate>Wed, 30 Jul 2025 00:00:00 +0000</pubDate><guid>https://effectivefield.com/posts/classification-of-analogies-in-mathematical-physics/</guid><description>A framework for categorizing analogies between physical systems — from intuitive connections to full mathematical dualities.</description></item><item><title>Group Theory in Physics</title><link>https://effectivefield.com/posts/group-theory-in-physics/</link><pubDate>Fri, 12 May 2023 00:00:00 +0000</pubDate><guid>https://effectivefield.com/posts/group-theory-in-physics/</guid><description>On the role of symmetry and group theory as the mathematical language of modern physics.</description></item><item><title>William Rowan Hamilton — Forgotten Genius</title><link>https://effectivefield.com/posts/william-rowan-hamilton-forgotten-genius/</link><pubDate>Thu, 16 Mar 2023 00:00:00 +0000</pubDate><guid>https://effectivefield.com/posts/william-rowan-hamilton-forgotten-genius/</guid><description>The story of William Rowan Hamilton — an alcoholic poet who invented quaternions on a bridge in Dublin.</description></item><item><title>What is the Most Fundamental Science?</title><link>https://effectivefield.com/posts/what-is-the-most-fundamental-science/</link><pubDate>Sat, 04 Mar 2023 00:00:00 +0000</pubDate><guid>https://effectivefield.com/posts/what-is-the-most-fundamental-science/</guid><description>Which science is the most fundamental — physics, neuroscience, or mathematics?</description></item></channel></rss>