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Sang returned to Edinburgh to teach mathematics in 1854. He published many papers on a remarkable range of topics in mathematics and its practical applications and was awarded various prizes by learned bodies.
A latter-day Napier, he is best known for his massive compilations of logarithms and actuarial tables. Over 40 years, intermittently, he calculated the most accurate tables of logarithms, mostly unpublished, and unused, in 47 manuscript volumes.
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