Question
Start with what, why or how.
Pictures and short explanations build the mathematics behind AI, machine learning, statistics and everyday decisions.
The library advances one published picture each day, then gently previews the connected ideas.

Start with design weights, add a scale correction, add a gap correction, learn a relationship, then combine prediction with weighted error repair. Each change targets one identifiable weakness in the current estimate.
Study the full lesson →Begin with Numbers and Number Lines, or return later and continue from this device—no login required.
Every picture belongs to an ordered lesson. Every lesson sits in a clear mathematical path.
Publication dates come from the lesson manifests, never from unreliable file-modification times.
LESSONBellman Optimization: Future Information, Present DecisionsHow can an agent turn uncertain future rewards into a good decision now?
20 pictures · Open →
LESSONByte Pair Encoding: Learning Reusable Text PiecesHow can repeated neighbouring symbols become a reusable vocabulary for new text?
20 pictures · Open →
LESSONNumbers and Number LinesHow can a number show a place?
5 pictures · Open →Each lesson connects the question, the intuition, the example and the mathematical relationship.
Start with what, why or how.
Inspect the picture and symbols.
Join intuition to an example.
Continue through the lesson chain.
These milestones provide context; the lessons show how the ideas work.
Napier's tables made difficult calculations more practical.
Fermat, Pascal and Huygens helped turn chance into mathematics.
Newton and Leibniz shaped powerful languages of change.
Likelihood and mathematical statistics changed how evidence is read.
Historical orientation: MacTutor History of Mathematics. Dates describe documented milestones, not single-person invention claims.
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