Even outside the framework of numbers, 0 was excluded from operations such as addition and multiplication. 0 is the smallest non-negative integer. But it doesn't say '0 apples'.
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The concept of zero, which seems simple and intuitive today, has a rich and complex history spanning centuries and cultures. 0 is the smallest non-negative integer. The natural number next to 0 is 1, and 0 is not the next natural number.
So can factorial only be defined in 0 and positive integers?
Zero, represented by the number 0, is the basic structure of the number system. However, when writing numbers, because the number of strokes is complicated, it is usually replaced with a simplified round shape, 〇. Natural numbers may or may not include 0, but this does not affect the fact that 0 is an integer. It was thought that 0, that is, without anything, was meaningless and therefore not a number.
From the beginning, number was thought to have been created to 'count' the number of objects. However, in other cases, 0 can be defined as a natural number. 0 (zero) is a number representing an empty quantity. Just as 1, 2, 3 are 一, 2, 3 in Chinese characters, 0 is ‘zero’ in Chinese characters.
The natural number next to 0 is 1, and 0 is not the next natural number.
Gong Pil-seong, a leading player with number 0 in the 1990s and 2000s, had no choice but to change his uniform number during his third year as a professional. Euler, a Swiss mathematician in the 18th century, expanded the factorial to be defined in all numbers, like this. Adding (or subtracting) 0 to any number leaves that number unchanged; In this respect, compared to other numbers from 1 to 9, 0 is definitely.
In the KBO league, No. 0 Gong Pil-seong and Kim Kang-min, and No. 0 Kim Gyeong-gi can be said to be representative examples. In mathematical terminology, 0 is the additive identity. Natural numbers may or may not include 0, but the fact that 0 is an integer.
