Learn the math.
Challenge the model.
An interactive companion to the mathematical review of the 45-to-25-state ToR-ORd reduction. Study, derive, explain aloud, and retain the ideas behind T1–T4c.
Core idea
Clinical / manuscript connection
Learn
Derive on paper
Active recall challenge
Explain, then answerSpaced repetition
ReviewRecall the answer before revealing it. Wrong answers return tomorrow; difficult answers in three days; confident answers at progressively wider intervals.
Speak it like a mathematician
Use the oral prompt below. On compatible browsers you can dictate your reasoning; otherwise type it. This local exercise gives a checklist, not AI evaluation. For an actual back-and-forth voice tutor, open your dot's ChatGPT voice conversation.
Microphone permissions depend on browser support. Safari on iPhone may require using native keyboard dictation.
Transfer learning into research
How this site and the dot work together
After a lesson, export your progress JSON or summarize your answers to Lena in ChatGPT. Ask the dot to critique a proof orally, adapt the next lesson to weaknesses, and suggest new review cards. This version is offline-capable as a static webpage but does not synchronize to your ChatGPT account, retrieve live course releases, or place phone calls.