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The asterisk has many uses in mathematics. The following list highlights some common uses and is not exhaustive. stand-alone. An arbitrary point in some set. Seen, for example, when computing Riemann sums or when contracting a simply connected group to the singleton set {}. as a unary operator, denoted in prefix notation
For example: "All humans are mortal, and Socrates is a human. ∴ Socrates is mortal." ∵ Abbreviation of "because" or "since". Placed between two assertions, it means that the first one is implied by the second one. For example: "11 is prime ∵ it has no positive integer factors other than itself and one." ∋ 1. Abbreviation of "such that".
Asterisk, Dagger: Footnote ¤ Scarab (non-Unicode name) ('Scarab' is an informal name for the generic currency sign) § Section sign: section symbol, section mark, double-s, 'silcrow' Pilcrow; Semicolon: Colon ℠ Service mark symbol: Trademark symbol / Slash (non-Unicode name) Division sign, Forward Slash: also known as "stroke" / Solidus
The following table lists many common symbols, together with their name, how they should be read out loud, and the related field of mathematics. Additionally, the subsequent columns contains an informal explanation, a short example, the Unicode location, the name for use in HTML documents, [ 1 ] and the LaTeX symbol.
In mathematics and, more often, physics, a dagger denotes the Hermitian adjoint of an operator; for example, A † denotes the adjoint of A. This notation is sometimes replaced with an asterisk, especially in mathematics. An operator is said to be Hermitian if A † = A. [37]
Plain text, programming languages, and calculators also use a single asterisk to represent the multiplication symbol, [6] and it must be explicitly used; for example, 3x is written as 3 * x. Rather than using the ambiguous division sign (÷), [a] division is usually represented with a vinculum, a horizontal line, as in 3 / x + 1 .