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Double factorial: if n is a positive integer, n!! is the product of all positive integers up to n with the same parity as n, and is read as "the double factorial of n". 3. Subfactorial : if n is a positive integer, ! n is the number of derangements of a set of n elements, and is read as "the subfactorial of n".
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 applied fields the word "tight" is often used with the same meaning. [2] smooth Smoothness is a concept which mathematics has endowed with many meanings, from simple differentiability to infinite differentiability to analyticity, and still others which are more complicated. Each such usage attempts to invoke the physically intuitive notion ...
The following table lists many specialized symbols commonly used in modern mathematics, ordered by their introduction date. The table can also be ordered alphabetically by clicking on the relevant header title.
A set C (blue) and its dual cone C * (red).. A duality in geometry is provided by the dual cone construction. Given a set of points in the plane (or more generally points in ), the dual cone is defined as the set consisting of those points (,) satisfying + for all points (,) in , as illustrated in the diagram.
Prime and double prime are used to transliterate Cyrillic yeri (the soft sign, ь) and yer (the hard sign, ъ). [11] However, in ISO 9 , the corresponding modifier letters are used instead. Originally, X-bar theory used a bar over syntactic units to indicate bar-levels in syntactic structure , generally rendered as an overbar .
double vertical line u+2032 ′ prime u+2033 ″ double prime u+2034 ‴ triple prime u+2040 ⁀ character tie u+2044 ⁄ fraction slash u+2052 ⁒ commercial minus sign u+2061: note: function application u+2062: note: invisible times u+2063: note: invisible separator u+2064: note: invisible plus
The double greater-than sign is also used for an approximation of the closing guillemet, ». In Java, C, and C++, the operator >> is the right-shift operator. In C++ it is also used to get input from a stream, similar to the C functions getchar and fgets. In Haskell, the >> function is a monadic operator. It is used for sequentially composing ...