Meta-Analysis: Between-Study Heterogeneity
Adapted from an appendix of my MS thesis. Between-Study Heterogeneity The extent to which true effect sizes vary within a meta-analysis is called betw…
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I Pointed My AI Research Engine at Goldbach's Conjecture — It Found a Hidden Bias (2026)
As a developer building AI for scientific discovery, I wanted to test if autonomous research actually works. So I built Luka and pointed it at Goldbac…
I Built an AI Research Engine and It Found a Perfect Power Law in Twin Primes (2026)
I'm a developer, not a number theorist. But I built Luka — an autonomous AI research engine — and pointed it at one of math's oldest open problems. Wh…
matten: `Tensor` コア
これは matten を紹介する全 4 回シリーズの第 2 回です。第 1 回では背景を説明しました。今回はライブラリの実際の使い方を紹介します。 はじめ方 # Cargo.toml [dependencies] matten = "0.28" デフォルトの features には serde 、 …
The Source Code of Randomness: Why Your Data Models Need an Integration Test
Randomness isn't the opposite of order. It's just order written in a language we haven't learned yet. As software engineers, we spend our lives trying…
matten: The core `Tensor`
This is the second of four short posts about matten . The first post explained the motivation. This one shows what the library looks like in practice.…
Eight kids, eight chairs, one rule: explaining FIFA's best-thirds draw to my 8-year-old
The question My son was on the sofa with his iPad, poking at the live "Predict the Bracket" game — the whole 2026 World Cup knockout tree on one scree…
A roof calculator that multiplies length by width is lying to you
I started building a roof area calculator thinking it would be a weekend thing. You take the length, you take the width, you multiply, you show a numb…
Weights, Roots and Coweights of a Lie group
Suppose you have a Lie group. The generators of this group, along with their commutation relations, form a Lie algebra. The maximal commuting subset o…
Paper 164 v0.1 — infinity-cosmoi Skeleton + Tetradic Completion of rhymeOrTheorem: 4-Step Continuation of Paper 163
This article is a re-publication of Rei-AIOS Paper 164 for the dev.to community. The canonical version with full reference list is in the permanent ar…
Transformer Attention Is Hopfield's 1982 Update Rule (And What That Tells Us About LLM Memory)
Hopfield's associative-memory equation from 1982 and the scaled dot-product attention from Vaswani 2017 are the same operation. One substitution turns…
Mathematicians warn of AI threats to profession as industry encroaches
International Mathematical Union endorses warning about tech industry influence.
An OpenAI model solved a famous math problem that stumped humans for 80 years
I tried to explain OpenAI’s solution more clearly than OpenAI did.
Algorithmic Trading Pipelines
In This Article Four-Layer Pipeline Architecture WebSocket Ingestion with asyncio Anomaly Detection and Tick Validation The Circuit Breaker Pattern Si…