Other articles


  1. Combination tones: Demonstrating the nonlinearity of the human ear

    It is known among musicians that when two high pitch tones are played loudly at the same time, a subtle low pitch tone may appear. This is called a combination tone, or a Tartini tone after 18th-century Italian violinist Giuseppe Tartini, who described the effect.

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  2. Fast computation of integer powers

    Introduction

    How many multiplications are needed to calculate \(x^6\)? The naïve way to do it is \(x^6 = x\cdot x\cdot x\cdot x\cdot x\cdot x\). That is five multiplications. But we can do better: \((x\cdot x\cdot x)^2\) only requires three. Using as …

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  3. LaTeX typesetting in Mathematica

    Mathematica is an excellent and flexible visualization tool, and even supports displaying complex mathematical formulae. However, its typesetting quality is not on par with \(\mathsf{\LaTeX}\). The visual style is not a good match for inclusion in LaTeX documents either. To improve the quality of my figures, I wrote a …

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  4. Displaying debug messages coming from LibraryLink

    When extending Mathematica through C or C++ code using the LibraryLink API, one common annoyance is that it’s not possible to see messages that the C code sends to stdout or stderr when using the graphical interface. While there are ways to send output directly to the active Mathematica notebook, often the C code is not written to be used exclusively with Mathematica and it simply prints debug messages to stderr. Standard C assertion failures also cause messages to be printed to stderr.

    Here I will show how to view the Mathematica kernel’s output in a terminal window, even when using the graphical notebook interface. read more ...

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  5. Pasting tabular data from the web

    Have you ever wanted to quickly import some tabular data for quick-and-dirty analysis, either from the web, rich text document, part of a spreadsheet, etc., but then gave up because it seemed too much trouble? This is something I want to do quite frequently, so I wrote a small utility palette for directly pasting tables into Mathematica. To create the palette, just evaluate this code:

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  6. Memoization in Mathematica

    I wrote this short tutorial on memoization years ago. Since it turned out to be somewhat popular, and my old website is going away, I am reproducing it here.


    Memoization is a very well known programming pattern in Mathematica. Memoization is an optimisation technique: it means making a function “remember …

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  7. A new website with Pelican

    Most people I know in academia have personal websites—it’s expected. And most of those sites haven’t been updated in ages. It’s no wonder; editing HTML or maintaining CMS takes considerable work and requires keeping up to date with the technologies involved. We just can’t realistically …

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