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  • Carroll's "improved" Doublets: allowing permutations

    Nov 7, 2022 programming julia

    Carroll originally invented his Doublets in 1877, they were published in "Vanity Fair" (the magazine, not the Thackeray novel) in 1879. Some years later, in an 1892 letter, Carroll added another rule: that permutations were allowed. This allows very neat chains such as: roses, noses, notes, steno, stent, …

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  • Super Doublets: more word ladders with Julia

    Nov 5, 2022 programming julia

    Apparently there's a version of Doublets (see previous post) which allows you to add or delete a letter each turn. Thus we can go from WHEAT to BREAD as WHEAT, HEAT, HEAD, READ, BREAD which is shorter than the ladder given in that previous post. However, we can easily adjust the material from that post to implement …

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  • Word ladders with Julia

    Nov 3, 2022 programming julia

    Lewis Carroll's game of Doublets Such a long time since my last post! Well, that's the working life for you. Anyway, recently I was reading about Lewis Carroll - always one of my favourite people - and was reminded of his word game "Doublets" in which one word is turned into another by changing one letter at …

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  • Wordle

    Jan 24, 2022 Julia

    Wordle is a pleasant game, basically Mastermind with words. You choose an English word (although it can also be played in other languages), and then you're told if your letters are incorrect, correct but in the wrong place, or correct and in the right place. These are shown by the colours grey, yellow, and green. The …

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  • Voting power (5): The Deegan-Packel and Holler power indices

    Jan 14, 2021 voting algebra python julia

    We have explored the Banzhaf and Shapley-Shubik power indices, which both consider the ways in which any voter can be pivotal, or critical, or necessary, to a winning coalition. A more recent power index, which takes a different approach, was defined by Deegan and Packel in 1976, and considers only minimal winning …

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  • Voting power (4): Speeding up the computation

    Jan 6, 2021 voting algebra julia

    Introduction and recapitulation Recall from previous posts that we have considered two power indices for computing the power of a voter in a weighted system; that is, the ability of a voter to influence the outcome of a vote. Such systems occur when the voting body is made up of a number of "blocs": these may …

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  • Electing a president

    Nov 7, 2020 voting linear-programming julia

    Every four years (barring death or some other catastrophe), the USA goes through the periodic madness of a presidential election. Wild behaviour, inaccuracies, mud-slinging from both sides have been central since George Washington's second term. And the entire business of voting is muddied by the Electoral College, the …

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  • Fitting the SIR model of disease to data in Julia

    Jan 15, 2020 mathematics julia

    A few posts ago I showed how to do this in Python. Now it's Julia's turn. The data is the same: spread of influenza in a British boarding school with a population of 762. This was reported in the British Medical Journal on March 4, 1978, and you can read the original short article here. As before we use the SIR model, …

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  • Speeds of Julia and Python

    Dec 19, 2019 programming python julia

    Introduction Python is of course one of the world's currently most popular languages, and there are plenty of statistics to show it. Of all languages in current use, Python is one of the oldest (in the very quick time-scale of programming languages) dating from 1990 - only C and its variants are older. However, it …

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  • Poles of inaccessibility

    Dec 8, 2019 image-processing julia

    Just recently there was a news item about a solo explorer being the first Australian to reach the Antarctic "Pole of Inaccessibility". Such a Pole is usually defined as that place on a continent that is furthest from the sea. The South Pole is about 1300km from the nearest open sea, and can be reached by …

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Recent Posts

  • Carroll's "improved" Doublets: allowing permutations
  • Super Doublets: more word ladders with Julia
  • Word ladders with Julia
  • Every academic their own text-matcher
  • More mapping "not quite how-to" - Voronoi regions
  • A mapping "not quite how-to"
  • Further mapping: a win and a near miss
  • Post-election mapping
  • Post-election swings
  • Ramanujan's cubes

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