Zero - Maeckes

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The number 0 may occur in functions and formulas.

In mathematics you often use factorials. There exist the zero factorial

that is applied per definition.

You calculate the number of combinations with a mathematical formula. There can then occur a combination with zero

are therefore valid.

ln 1 = 0 , log 1 = 0 , log₂1 = 0 , log_a1 = 0

This follows from the definition of the logarithm, because

log_a1 = x ⇒ a^x = 1 ⇒ x = 0

The square root of zero is zero, because