17:15, 3 марта 2026Мир
Commutativity and associativity might sound the same, and indeed most commutative operations are also associative. But there are a few math operations that are only one or the other. Matrix multiplication, for example, is associative but not commutative Matrix multiplication - Wikipedia en.wikipedia.org/wiki/Matrix_multiplication#Non-commutativity . And surprisingly, floating point arithmetic — i.e. any math operator in JavaScript — is commutative but not associative Associative property - Wikipedia en.wikipedia.org/wiki/Associative_property#Nonassociativity_of_floating_point_calculation ! ↩
，这一点在体育直播中也有详细论述
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Smetters offered one note of caution about how war costs are typically framed. “One problem I have with cost-of-war calculations is that they really do ignore the counterfactual,” he said in a bit of an understatement. “If Iran really did get a nuclear weapon, then we might have spent a lot more on military and even repair of cities later on.”
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