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Bbackpropdevbackpropdev.hashnode.dev

Why Does AI Even Need Calculus? (And Why You've Been Avoiding It for No Reason)

5h ago · 10 min read · Article 1 of 12 — Calculus for AI Developers I want to start with a confession. When I first started learning machine learning, I skipped the math. I copied the PyTorch tutorial. I got a model to tra

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PJPrince Jhaoptionality.hashnode.dev

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I Didn't Build an Options Project. I Built a Laboratory for Breaking My Own Intuition.

1d ago · 9 min read · Just a few weeks ago, I began what seemed like a simple task. Implement some payoff functions.Plot a few graphs.Build a binomial tree.Move on. Instead, I ended up with a notebook that felt... wrong. N

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LDLuhui Devluhui.hashnode.dev

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DeepMind AlphaProof Nexus Explained: 4 System Paradigms for AI Math Research

6d ago · 11 min read · 🙋‍ I’m Luhui Dev, a developer who has been breaking down Agent engineering and exploring how AI can be applied in education. I focus on Agent Harness, LLM application engineering, AI for Math, and th

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YAyoan antemathbuilders.hashnode.dev

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What I learned building a math fact app for my third grader

May 12 · 3 min read · TL;DR I built a free math fact app for my third grader called MathBuilders. There's no growth story to tell, no users yet except my daughter, just a working tool and what I learned shipping it. The me

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MMacaulay001forgottentheorieshashnodedev.hashnode.dev

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I tested Bertrand's 1887 ballot formula on 648 vote splits and the answer was always (p-q)/(p+q).

May 11 · 6 min read · Part 100 of Forgotten Theories, a series re-testing old scientific claims with modern tools. Find the rest under the #forgotten-theories tag. In 1887 Joseph Bertrand sent a four-page note to the Comptes Rendus of the French Academy. The question he ...

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MMacaulay001forgottentheorieshashnodedev.hashnode.dev

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I located the first 30 zeros of Riemann's zeta on the critical line. They all sat exactly where 1859 said they would.

May 11 · 6 min read · Part 95 of Forgotten Theories, a series re-testing old scientific claims with modern tools. Find the rest under the #forgotten-theories tag. In November 1859, Bernhard Riemann submitted an eight-page memoir to the Berlin Academy. The paper was about...

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MMacaulay001forgottentheorieshashnodedev.hashnode.dev

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I sampled a million coin flips with decaying probabilities. The 1909 dividing line showed up exactly where Borel said it would.

May 11 · 6 min read · Part 96 of Forgotten Theories, a series re-testing old scientific claims with modern tools. Find the rest under the #forgotten-theories tag. In 1909 Émile Borel was working through a problem about decimal expansions of real numbers, and he proved a ...

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MMacaulay001forgottentheorieshashnodedev.hashnode.dev

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Noether's 1918 theorem holds to 14 decimals in a symplectic Kepler orbit

May 11 · 7 min read · Part 91 of Forgotten Theories, a series re-testing old scientific claims with modern tools. Find the rest under the #forgotten-theories tag. In July 1918, Emmy Noether published a short paper in the Göttingen Nachrichten with a title that sounds lik...

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MMacaulay001forgottentheorieshashnodedev.hashnode.dev

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Verhulst's 1838 logistic fits the US census 1790-1910 within 3.5%, then misses 2020 by 140 million

May 11 · 6 min read · Part 83 of Forgotten Theories, a series re-testing old scientific claims with modern tools. Find the rest under the #forgotten-theories tag. Pierre-François Verhulst was a Belgian mathematician writing in 1838, in direct reply to Malthus. Malthus ha...

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MMacaulay001forgottentheorieshashnodedev.hashnode.dev

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I checked Kepler's 1611 claim that F_{n+1}/F_n approaches phi. The match is exact, and the convergence rate hits log(1/phi^2) to six digits.

May 11 · 7 min read · Part 78 of Forgotten Theories, a series re-testing old scientific claims with modern tools. Find the rest under the #forgotten-theories tag. In a letter written around 1611, Johannes Kepler pointed out something his contemporaries had mostly overloo...

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Trending tags this week

Why Does AI Even Need Calculus? (And Why You've Been Avoiding It for No Reason)

I Didn't Build an Options Project. I Built a Laboratory for Breaking My Own Intuition.

DeepMind AlphaProof Nexus Explained: 4 System Paradigms for AI Math Research

What I learned building a math fact app for my third grader

I tested Bertrand's 1887 ballot formula on 648 vote splits and the answer was always (p-q)/(p+q).

I located the first 30 zeros of Riemann's zeta on the critical line. They all sat exactly where 1859 said they would.

I sampled a million coin flips with decaying probabilities. The 1909 dividing line showed up exactly where Borel said it would.

Noether's 1918 theorem holds to 14 decimals in a symplectic Kepler orbit

Verhulst's 1838 logistic fits the US census 1790-1910 within 3.5%, then misses 2020 by 140 million

I checked Kepler's 1611 claim that F_{n+1}/F_n approaches phi. The match is exact, and the convergence rate hits log(1/phi^2) to six digits.