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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".
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 ...
definition: is defined as metalanguage:= means "from now on, is defined to be another name for ." This is a statement in the metalanguage, not the object language. The notation may occasionally be seen in physics, meaning the same as :=.
The prime symbol ′ is commonly used to represent feet (ft), and the double prime ″ is used to represent inches (in). [2] The triple prime ‴, as used in watchmaking, represents a ligne (1 ⁄ 12 of a "French" inch, or pouce, about 2.26 millimetres or 0.089 inches).
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.
def – define or definition. deg – degree of a polynomial, or other recursively-defined objects such as well-formed formulas. (Also written as ∂.) del – del, a differential operator. (Also written as.) det – determinant of a matrix or linear transformation. DFT – discrete Fourier transform.
In most forms of English, percent is usually written as two words (per cent), although percentage and percentile are written as one word. [9] In American English, percent is the most common variant [10] (but per mille is written as two words). In the early 20th century, there was a dotted abbreviation form "per cent.", as opposed to "per cent".
Double, also called a look-alike or doppelgänger, one person or being that resembles another; Polish Enigma double, a machine replicating the function of Nazi Germany's cipher machines; Double, a former fraction of the Guernsey pound; Double, a former rank of liturgical feast in the Roman Rite of the Catholic Church