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  • The Pegasus and related methods for solving equations

    Jul 6, 2023 mathematics julia computation

    In the previous post, we saw that a small change to the method of false position provided much faster convergence, while retaining its bracketing. This was the Illinois method which is only one of a whole host of similar methods, some of which converge even faster. And as a reminder, here's its definition, with a very …

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  • The Illinois method for solving equations

    Jul 5, 2023 mathematics julia computation

    Such a long time since a last post! Well, that's academic life for you ... If you look at pretty much any modern textbook on numerical methods, of which there are many, you'll find that the following methods will be given for the solution of a single non-linear equation \(f(x)=0\): direct iteration, also known as …

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  • The Illinois method for solving equations

    Jul 5, 2023 mathematics julia computation

    Such a long time since a last post! Well, that's academic life for you ... If you look at pretty much any modern textbook on numerical methods, of which there are many, you'll find that the following methods will be given for the solution of a single non-linear equation \(f(x)=0\): direct iteration, also known as …

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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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  • Every academic their own text-matcher

    Jun 19, 2022 Python Education

    Plagiarism, text matching, and academic integrity Every modern academic teacher is in thrall to giant text-matching systems such as Ouriginal or Turnitin. These systems are sold as "plagiarism detectors", which they are not - they are text matching systems, and they generally work by providing a report …

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  • More mapping "not quite how-to" - Voronoi regions

    Jun 18, 2022 Python GIS

    What this post is about In the previous post we showed how to set up a simple interactive map using Python and its folium package. As the example, we used a Federal electorate situated within the city of Melbourne, Australia, and the various voting places, or polling places (also known as polling "booths") …

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  • A mapping "not quite how-to"

    Jun 11, 2022 Python GIS

    Message about the underlying software NOTE: much of the material and discussion here uses the Python package "folium", which is a front end to the Javascript package "leaflet.js". The lead developer of leaflet.js is Volodymyr Agafonkin, a Ukrainian up until recently living and working in Kyiv. Leaflet version 1.80 was …

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  • Further mapping: a win and a near miss

    Jun 9, 2022 GIS voting

    In this post we look at two Divisions from the recent Federal election: the inner city seat of Melbourne, and the bayside seat of Macnamara. Up until the recent election, Melbourne was the only Division to have a Greens representative. Macnamara, previously known as "Melbourne Ports" has been a Labor …

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Recent Posts

  • The Pegasus and related methods for solving equations
  • The Illinois method for solving equations
  • The Illinois method for solving equations
  • 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

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