A math blog post derives a quick approximation for the number of digits in n!, using the formula n·log10(n/e)+2. Applied to 52!, the estimate yields 69 digits versus the actual 68, demonstrating strong accuracy for large factorials. The post also walks through the underlying derivation using the Gamma function and integration by parts.
eli.thegreenplace.net
· 2026-09-15
A newly acquired book titled 'Calculating with Tones: The Logarithmic Logic of Music,' published by the Oughtred Society, features a cover comparing the irregular spacing of guitar frets to the tick marks on a logarithmic slide rule. The book, discussed on page 34, explains how frets are placed along a guitar neck to locate musical notes, drawing a visual parallel to how slide rule scales are constructed using logarithmic principles.
charlespetzold.com
· 2026-09-04
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