For example, more and more companies now collect, ... the divide and conquer algorithm divides large data sets randomly into sub-data sets and processes them separately on multiple machines.

Karatsuba’s divide-and-conquer multiplication algorithm takes advantage of this saving. ... For example, 12 * 21 gives the multiplications 1 * 2, 1 * 1, 2 * 2, and 2 * 1.

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A rigorous mathematical analysis showed that indeed, this kind of divide-and-conquer strategy can work, at least in theory. They published that result in the journal Chaos .