NaN is an acronym for Not a Number used in computing and represents a value or a symbol that is usually produced as a result of an invalid operation on the operands. NaNs are close to some undefined or indeterminate expressions in mathematics. The NaN is not really a number, but a symbol that represents a numerical quantity whose absolute value can not be determined by the Operating System.

Examples:

- \(\sqrt {-1}\);

- \(\log(-n)\) and \(\ln(-n)\);

- \(\frac{0}{0}\);

- \(0^0\);

- \(1^\infty\);

- \(\infty^0\);

- \(\frac{\infty}{\infty}\), \(\frac{\infty}{-\infty}\), \(\frac{-\infty}{\infty}\) and \(\frac{-\infty}{-\infty}\);

- \(0 \times \infty\) and \(0 \times (-\infty)\);

- \((-\infty) + \infty\) and \(\infty + (-\infty)\);

- \(\ln |0|\) and \(\frac{\ln |0|}{\ln |\pm \infty|}\);

- \(e^{\pm \infty} \times \log |0|\);

- \(\frac{m}{\pm \infty} \times \frac{n}{0}\) if \(m \neq \pm \infty\) and \(n \neq 0\).

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