The prime factorization of 999999 allows us to compute repeating decimals for some common fractions. I work through this idea.

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I describe the process of using ChatGPT-3.5 to write a program that uses OpenAI's API. The program generates LLM fortunes a la the Unix command 'fortune'.

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Dimensional analysis is the technique of analyzing relationships through their base quantities. I demonstrate the power of this approach by approximating a Gaussian integral without calculus.

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I explore an ancient algorithm, sometimes called Heron's method, for estimating square roots without a calculator.

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I estimate my probability of serious injury or death from bike commuting to work in New York, using public data from city's Department of Transportation.

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Many phenomena can be modeled as exponential decay. I discuss this model in detail, focusing on natural exponential decay (base $e$) and various useful properties.

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I walk through a simple Python implementation of blockchain technology, commonly used for public ledgers in cryptocurrencies.

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I describe a useful trick for computing geometric series without closed-form solutions.

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In numerical analysis, the Lagrange polynomial is the polynomial of least degree that exactly coincides with a set of data points. I provide the geometric intuition and proof of correctness for this idea.

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