Tag Archives: affine

Posted on May 5, 2012 by isomorphismes

Dmitri Tymoczko — author of The Geometry of Music how to make visual representations of music (in paintings, video games, sculpture) 5 constraints on a composition that are necessary (but not sufficient) for it to sound good global statistical properties of songs … Continue reading →

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What is an eigenvector?

Posted on April 1, 2011 by isomorphismes

The eigenvectors of a matrix summarise what it does. Think about a large, not-sparse matrix. A lot of computations are implied in that block of numbers. Some of those computations might overlap each other—2 steps forward, 1 step back, 3 steps … Continue reading →

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Why Fahrenheit is Better than Celsius

Posted on March 10, 2011 by isomorphismes

Astute reader wargut responded to yesterday’s observation about the Fahrenheit scale being affine-ish with the following incorrect assertion: Seriously, guys, your system is bullsh~t. It’s on. First, the Kelvin scale is indisputably the best of {K,℉,℃} for physics. Given that there … Continue reading →

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What’s half of 100 degrees Fahrenheit?

Posted on March 9, 2011 by isomorphismes

Hint: it’s not 50 degrees Fahrenheit. 100 ℉ = 311 K, half of which is 105.5 K = −180℉ Yup — half of 100℉ is −180℉. The difference between the Kelvin scale ℝ⁺ and the Fahrenheit scale is like the difference between a linear scale and … Continue reading →

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