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SUMMARY:A. Odrzywołek - All elementary functions from a single binary ope
 rator
DTSTART:20260730T120000Z
DTEND:20260730T140000Z
DTSTAMP:20260811T140500Z
UID:indico-event-53188@agenda.infn.it
CONTACT:info-seminars@lngs.infn.it
DESCRIPTION:Speakers: Izabela Anna Kochanek (Istituto Nazionale di Fisica 
 Nucleare)\, Nicola Rossi (Istituto Nazionale di Fisica Nucleare)\, Dounia 
 Helis (Istituto Nazionale di Fisica Nucleare)\, Valerio D'Andrea (Istituto
  Nazionale di Fisica Nucleare)\n\nBoolean logic in digital hardware reduce
 s to a single two-input gate\, the NAND (or NOR)\, but continuous mathemat
 ics has had no comparable primitive: computing elementary functions such a
 s sin\, sqrt\, or log has always required many distinct operations. I repo
 rt the discovery that a single binary operator\, eml(x\, y) = exp(x) − l
 n(y)\, together with the constant 1\, generates the entire standard repert
 oire of a scientific calculator\, i.e. arithmetic\, exponentials\, logarit
 hms\, trigonometric and hyperbolic functions with their inverses\, and the
  constants e\, pi and i. Every elementary expression becomes a binary tree
  of identical eml nodes\, a grammar as simple as S -> 1 | eml(S\, S). This
  uniform\, differentiable architecture enables gradient-based symbolic reg
 ression: EML trees act as trainable sub-circuits from which closed-form fo
 rmulas are recovered directly from data. The talk will also cover the exha
 ustive search methods behind the discovery\, verification across symbolic 
 and numerical platforms\, and common misconceptions that surfaced after th
 e result went viral on the internet.---------------Andrzej OdrzywołekInst
 itute of Theoretical PhysicsJagiellonian UniversityKraków\, Poland\n \nL
 ink to the presentation\n \n----------IMPORTANT: registration is mandator
 y for people without a valid LNGS badge. Deadline for registration is July
  29\, 2026 at 11:00 pm CEST.\n \n \n\nhttps://agenda.infn.it/event/53188
 /
LOCATION:Room B. Pontecorvo (LNGS)
URL:https://agenda.infn.it/event/53188/
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