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<rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom"><channel><title>Tekum: Balanced Ternary Tapered Precision Real Arithmetic · HackerPapers discussions</title><link>https://hackerpaper.kaipfister.de/p/2512.10964/</link><description>Collected HN comments and submissions linking this paper.</description><language>en</language><lastBuildDate>Mon, 02 Nov 2026 11:16:22 GMT</lastBuildDate><atom:link href="https://hackerpaper.kaipfister.de/p/2512.10964/feed.xml" rel="self" type="application/rss+xml" /><item><title>Tekum: Balanced Ternary Tapered Precision Real Arithmetic — mentioned by noosphr</title><link>https://news.ycombinator.com/item?id=48348025</link><guid isPermaLink="false">urn:hackerpapers:mention:2512.10964:48348025</guid><pubDate>Sun, 31 May 2026 18:03:54 GMT</pubDate><description>&lt;p&gt;Balanced ternary fp is not a reduced precision type of binary fp: https://arxiv.org/abs/2512.10964 &amp;gt;Unlike their binary counterparts, posits and takums, tekums simultaneously accommodate both ∞ and NaR, while retaining the simplicity of negation by flipping the underlying trit string. Perhaps most strikingly, tekums enable rounding by truncation, a property that eradicates at a stroke some notorious problems of rounding in binary arithmetic: double rounding errors, cascading carries in hardware, and the attendant inefficiencies.&lt;/p&gt;&lt;p&gt;&lt;a href="https://hackerpaper.kaipfister.de/p/2512.10964/"&gt;Paper and discussion history&lt;/a&gt;. A mention is not an endorsement.&lt;/p&gt;</description><category>cs.ET</category></item></channel></rss>
