Positional Encoding vs Circle Calculator

This is an educational App for readers interested in the sin/cos encoding of the token positions in large language models (LLM). Play with this App to acquire a deeper understanding of the positional encoder as it was described in the famous *Attention is All You Need* paper. In particular the App shows how the correlation between two positional vectors depends only on the distance between the corresponding two integer position.

Enter one value and instantly calculate radius, diameter, circumference and area. The live measured diagram updates with your inputs, while formula explanations help you understand the result. CIRCLE AND GEOMETRY TOOLS • Circle, arc, sector, segment, chord and annulus • Polygon, triangle, sphere and cylinder measurements • Unit, angle and precision controls WORKSHOP PROBLEM SOLVING • Bolt Circle (PCD) with X/Y drill coordinates • Offline DN/NPS pipe schedule dimensions and weights • Metal stock weight before cutting • Cone flat patterns and pipe templates SAVE AND EXPORT Keep calculation history and favourites on your device. Eligible Pro workflows create PDF, CSV and DXF outputs for professional work. OFFLINE-READY CORE Core calculations and bundled pipe charts work without an internet connection. Purchases, advertising, support links and sharing can require a connection. FREE AND PRO Existing free calculators remain available. Pro adds selected workshop exports, advanced workflows, expanded history and an ad-free experience. The App Store shows current plans, trials and local prices before purchase. Terms of Use (EULA): https://www.apple.com/legal/internet-services/itunes/dev/stdeula/