Originally created by a group of mathematicia in the 1960s, the LUHN formula is in the public domain, and anyone can use it.

最初由一群数学家在1960年代，LUHN公式是在公共领域，任何人都可以使用它。

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The LUHN formula can be used by a business to make sure a credit card is valid before sending the number for debit authorization.

LUHN公式可以由业务使用，以确保信用卡发送借记卡的号码授权之前是有效的。

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In such a world, companies and government entities need employees who understand what climate change means and how it might affect the bottom line, said Luhn.

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Luhn, A Business Intelligence System (IBM Journal Oct. 1958).

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