<?xml version="1.0" encoding="UTF-8"?><rss version="2.0"><channel><title>Beyond Any Doubt</title><description>Advanced mathematics, worked through in full.</description><link>https://beyond-any-doubt.org/</link><language>en</language><item><title>Sensitive dependence, and what a solver can promise</title><link>https://beyond-any-doubt.org/posts/_probe/</link><guid isPermaLink="true">https://beyond-any-doubt.org/posts/_probe/</guid><description>Where a differential equation stops being predictable, worked through with numbered proofs, interactive charts and an attractor you can turn by hand.</description><pubDate>Sun, 06 Sep 2026 00:00:00 GMT</pubDate><category>dynamical systems</category><category>numerical analysis</category></item><item><title>The Euler product, and why it is not a coincidence</title><link>https://beyond-any-doubt.org/posts/euler-product/</link><guid isPermaLink="true">https://beyond-any-doubt.org/posts/euler-product/</guid><description>A first post that exercises the whole pipeline: aligned derivations, numbered equations, and cross-references that actually resolve.</description><pubDate>Sat, 05 Sep 2026 00:00:00 GMT</pubDate><category>analytic number theory</category><category>zeta function</category></item></channel></rss>