In mathematics, an empty product, or nullary product or vacuous product, is the result of multiplying no factors. It is by convention equal to the multiplicative identity (assuming there is an identity for the multiplication operation in question; when numbers are implied, it becomes one), just as the empty sum — the result of adding no numbers — is by convention equal to the additive identity (zero).
In mathematics, an empty product, or nullary product or vacuous product, is the result of multiplying no factors. It is by convention equal to the multiplicative identity (assuming there is an identity for the multiplication operation in question; when numbers are implied, it becomes one), just as the empty sum — the result of adding no numbers — is by convention equal to the additive identity (zero).
Source: Wikipedia "Empty product" · CC BY-SA 4.0
Share this article: X · Bluesky