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In mathematics, the

**sign function**or signum function (from signum, Latin for "**sign**") is an odd mathematical function that extracts the**sign**of a real number. In mathematical expressions the**sign function**is often represented as sgn. To avoid confusion with the sine function, this function is usually called the signum function.The

**sign**of a permutation can be explicitly expressed as sgn(σ) = (−1) N(σ) where N(σ) is the number of inversions in σ. Alternatively, the**sign**of a permutation σ can be defined from its decomposition into the product of transpositions as sgn(σ) = (−1) m. where m is the number of transpositions in the decomposition.The

**less-than sign**is a mathematical symbol that denotes an inequality between two values. The widely adopted form of two equal-length strokes connecting in an acute angle at the left, <, has been found in documents dated as far back as the 1560s.The currency

**sign**¤ is a character used to denote an unspecified currency.It can be described as a circle the size of a lowercase character with four short radiating arms at 45° (NE), 135° (SE), 225° (SW) and 315° (NW).The

**bow and arrow sign**is an endoscopic**sign**for determining the location of the ileocecal valve during colonoscopy.Identifying the ileocecal valve in a colonoscopy is important, as it indicates that the entire colon has been visualized.**Single sign-on**(SSO) is an authentication scheme that allows a user to log in with a single ID and password to any of several related, yet independent, software systems. True**single sign-on**allows the user to log in once and access services without re-entering authentication factors.

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