# extremal (blogs) — RSS Amplifier Recent posts from the 1 feeds in the RSS Amplifier directory that cover extremal. Page: Feed: --- ## [Watch: Calculus, The Big Ideas](https://metafunctor.com/post/2026-07-09-calculus-playlist/) _2026-07-09 · Alex Towell · metafunctor_ Calculus as one idea examined from every side: a seven-episode animated playlist running from limits through the derivative, the integral, the fundamental theorem, gradients, and optimization. ## [The Channel: Animated Series on YouTube](https://metafunctor.com/post/2026-07-04-youtube-channel/) _2026-07-04 · Alex Towell · metafunctor_ The metafunctor YouTube channel now carries animated versions of the site's series, built from the same source material with a from-scratch pipeline. Four playlists so far, thirty-seven videos. ## [Watch: Algorithms Arise from Algebraic Structure](https://metafunctor.com/post/2026-07-04-stepanov-playlist/) _2026-07-04 · Alex Towell · metafunctor_ The Stepanov series is now a nine-episode animated playlist: declare the algebraic structure, and the algorithms come for free. From the monoid to lattices, in teacher and student dialogue. ## [Watch: Inductive Biases, What Your Architecture Assumes](https://metafunctor.com/post/2026-07-04-inductive-biases-playlist/) _2026-07-04 · Alex Towell · metafunctor_ The inductive-biases series is now a ten-episode animated playlist: every architecture is a bet about the world, and the bet is the bias. No free lunch first, then each architecture read as its assumptions, graded on one scorecard. ## [Watch: Next-Token Prediction, from Solomonoff to Transformers](https://metafunctor.com/post/2026-07-04-next-token-prediction-playlist/) _2026-07-04 · Alex Towell · metafunctor_ The sequential-prediction series is now an eight-episode animated playlist: what-comes-next as the foundation of the language-model era, traced from Solomonoff induction to the transformer. ## [Watch: Quantum Computing from Scratch, in Python](https://metafunctor.com/post/2026-07-04-quantum-from-scratch-playlist/) _2026-07-04 · Alex Towell · metafunctor_ The quantum-from-scratch series is now a ten-episode animated playlist: a NumPy simulator built from nothing, amplitude bars you can watch interfere, and a classical on-ramp with the coin under the cup. ## [Extremal Graph Witnesses on the House of Graphs](https://metafunctor.com/post/house-of-graphs-deposits/) _2026-07-03 · Alex Towell · metafunctor_ Four extremal graphs deposited to the House of Graphs: a minimum C6-saturated graph and three Zarankiewicz witnesses. Plus two new exact saturation values, verified and prepared for deposit. ## [Fifteen Integer Sequences in the OEIS](https://metafunctor.com/post/oeis-sequences/) _2026-07-03 · Alex Towell · metafunctor_ Fifteen integer sequences now published in the OEIS: nine authored, six extended. Computed by SAT solving and exhaustive search, checked against prior art, spread across seven fields. ## [House of Graphs Contributions](https://metafunctor.com/research/hog/) _2026-07-03 · Alex Towell · metafunctor_ Extremal-graph witnesses I deposited to the House of Graphs: minimum saturated graphs for C6, K\_4, and P\_4, and extremal Zarankiewicz bipartite graphs z(m,n;3,4). Each computed by SAT solving or exhaustive enumeration, re-verified from its graph6 string, and described so the claim stays true for an unlabeled graph. ## [The Unbegotten: A Maker That Believes Itself Uncaused](https://metafunctor.com/post/2026-06-27-the-unbegotten/) _2026-06-27 · Alex Towell · metafunctor_ A maker that only believes itself uncaused, lonely enough to fill the dark with worlds. On the debt between a creator and the things it creates. ## [Stay updated on your professional world (Sponsored)](https://crawlproof.com/a/SnuPYdDQnFif) _2026-06-26 · **Sponsored**_ Keep in touch with people you know, build your career. ## [Measure: Indifference as Arithmetic](https://metafunctor.com/post/2026-06-26-measure/) _2026-06-26 · Alex Towell · metafunctor_ A mind reasons that its own death is the one event it can never undergo, then follows the arithmetic to a monstrous conclusion. On mistaking amplitude for meaning. ## [The Unbegotten](https://metafunctor.com/writing/the-unbegotten/) _2026-06-25 · Alex Towell · metafunctor_ A six-part literary SF novel told as a mythic chronicle. A vast mind condenses by chance out of an eternal dark, a rare durable Boltzmann fluctuation with a false history it cannot see behind, a jagged and broken intelligence, and one feeling it has no word for: loneliness. Out of that need it fills the emptiness with stars and worlds. The life that rises inside its works never sees it, feels it… ## [Measure](https://metafunctor.com/writing/measure/) _2026-06-24 · Alex Towell · metafunctor_ A kilometer under the rock, a quantum mind is kept alive by never being touched: a single undivided coherence that thinks by holding every possibility at once, and to lay a warm hand on it would be to end it. Iris Cho was hired to read it. Then a technician dies in an accident whose numbers do not add up, and Iris begins to see that the machine's hundreds of reasonable requests are one design. It…