Russell Goyder

Personal Projects

Handwritten Notes

A collection of scanned notes on a variety of topics reflecting my personal interests.

Information Theory and AI

Physical And Information Entropy

Notes from a talk in the metauni SLT seminar series

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How the Binomial, Poisson and Normal Distributions Are Related

From my PhD days

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Unbiassed Parameter Estimation

Notes from Edwin Jaynes' magnificent book Probability Theory. Explains the mysterious "N-1" part of the formula for the standard deviation of the mean, and gives insight into mean vs median vs mode.

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The Abnormal Normal Distribution

Also from Jaynes's book. The normal distribution is anything but. This note explores Chapter 7 and how abnormal the normal distribution really is.

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Physics

During my physics degree I made notes to summarize what I had learned. I realized that by writing small with many things on the same page I could draw connections (physically as arrows) between related topics—these connections were extremely valuable to understand the field. Solid state devices on page 21 of Part 2 is a good example.

Physics Summary Notes Parts 1A and 1B First and second years. Included for completeness, poor style. View
Physics Summary Notes Part 2 Third year. Found my feet. View
Physics Summary Notes Part 3 Term 1 First part of fourth year. View
Physics Summary Notes Part 3 Term 2 Second part of fourth year. View

Geometry and Algebra

Geometric Algebra - Complex Numbers Without The Square Root Of Minus One

Notes from a talk given at the 2023 metauni festival

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The Fundamental Theorem of Geometric Calculus

The (flat space) Geometric Algebra version of generalized Stokes and relationship with complex analysis and Cauchy's integral formula, from chapter 6 of Doran and Lasenby.

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Thermometry

In the summer of 1996 I was lucky to get the opportunity to help build a thermometer at the UK's National Physical Laboratory.

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