Positional Encoding vs Smith Chart Touch

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.

Smith Chart Touch is the essential Smith chart tool for RF and microwave engineers, students, and hobbyists. Design and analyze impedance matching networks interactively — directly on your device. Build your circuit by adding components one by one and watch the matching path update on the Smith chart in real time. Tap any component to edit its value, drag on the chart to tune it visually, or type exact numbers — the chart and inputs stay in sync at all times. Circuit Components: Series resistor, inductor, and capacitor Parallel resistor, inductor, and capacitor Transmission line (length in wavelengths) Open and short stub (parallel) Smith Chart Modes: Impedance (Z) chart Admittance (Y) chart Immittance (ZY) combined chart Key Features: Fully interactive: drag on the chart or type values — both update each other instantly Multiple projects with custom names and colors per circuit path Example circuits included to get started quickly Clean, dark UI optimized for readability Who is it for? Smith Chart Touch is built for electrical engineers working with RF circuits, antenna design, amplifier matching, and transmission line theory. It is also a great learning companion for students studying microwave engineering.