Positional Encoding vs Supply & Demand Lab by CS

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.

Supply & Demand Lab helps students understand economics through visual, interactive learning. Explore how markets work by shifting supply and demand curves and watching equilibrium price and quantity update in real time. Move from core concepts to real-world scenarios, then reinforce your understanding with quizzes and timed challenge sessions. Now with an expanded progress and achievements system, learners can track improvement, monitor accuracy, and unlock badges as they build economics mastery. What you can do: - Simulate supply and demand changes with interactive graphs - See instant equilibrium changes and explanations - Study with 12 structured lessons - Practice with 16 real-world market scenarios - Take quizzes across beginner, intermediate, and advanced levels - Compete in 60-second challenge mode with streak scoring - Track stats in a dedicated Progress dashboard - Unlock achievements across learning, quiz, scenarios, and challenge milestones Premium unlock: - Access all premium scenarios - Unlock elasticity controls - Remove ads for an uninterrupted experience Built for students, exam prep, and classroom reinforcement.