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Unfortunately, I fell silent this year, at least on this blog. I feel it's the wrong place here to describe in detail why I think this happened, because I prefer to keep this blog committed to my ideas and not merely what happens in my life. But like all abstractions, it's a leaky one and …

Notes on single-var calculus

Calculus is really cool and rich. NB: This isn't what I've been researching for the past few months -- that's coming soon. I'm sick of having this 2-year-old draft sitting around so I'm finishing it. NB: I read this back and my eyes do the usual thing where all the equations turn into so I …

Big reading list

Very happy to spend the first year of my PhD reducing my ignorance about what has gone before me. Note that I have a duty not merely to read, but to compress (for the interested), focus (for my own research), bring together (common ideas and themes) and synthesise (if I didn't have anything to add, …

Old notes on viewports, GUIs

I'm delighted to have just started my PhD which will, I think, breathe new life and energy into writing for this blog. The next thing I want to do is explore the concept of "Mess" -- the antagonism between the "modernist" compulsion to bulldoze it away and force aesthetically elegant structure, versus "post-modern" embracing of …

Post-tutorial tour of GameMaker

I've been really impressed with "GameMaker Studio 2" after returning to it at long last. Particularly at the streamlining of its user interface and documentation compared to when I last used it. (I am slightly sad that there's no unlimited free trial anymore, but at least "sorry, purchase the Pro edition for the privilege to …

Biting the (obj_)bullet

It's happened. The energy slowly building up over many years has finally overflowed the potential barrier and caused action to occur. I have at long last gritted my teeth, swallowed my ego and completed my long orbit to return to my starting position... I have once again downloaded GameMaker! What is now clear is that …

Kent PhD proposal

I'm delighted to have accepted an offer to study at the University of Kent for a full-time PhD this September. I spent January doing most of the work for this which is why I didn't publish any posts that month. But now I've finally got round to the task of announcing it here. Back in …

Notes on Galois Theory

Or, with apologies to any French readers Réflexions sur la résolution des articles mathématiques incompréhensibles par blog posts. Since the year 2013, seemingly every springtime I become interested in the theory of algebraic equations / polynomials / Galois theory. Ever since I was a teenager I have really really wanted to understand why the general …

Values, Diffs and Functions

We awaken in a world of "things" (e.g. points, states, versions). We call these values. From any ordered pair of values (a, b) we can form a diff from the first to the second. We write this as a→b, pronounced "a to b". (A better terminology could perhaps be simply absolutes and relatives, or abses …

Notes on the Differences Between Things

This series will deal with the following truly widespread concept: the absolute "state", and the relative "change between states". Some examples: Points and Vectors Certain areas of mathematics (e.g. homogenous co-ordinates in computer graphics) distinguish between points -- i.e. multiple origins -- and vectors, the "displacements between points". You can't really do any operations on …