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Given a set , define = {} (the language consisting only of the empty string), =, and define recursively the set + = {:} for each >. If is a formal language, then , the -th power of the set , is a shorthand for the concatenation of set with itself times.
In combinatorics, stars and bars (also called "sticks and stones", [1] "balls and bars", [2] and "dots and dividers" [3]) is a graphical aid for deriving certain combinatorial theorems. It can be used to solve many simple counting problems , such as how many ways there are to put n indistinguishable balls into k distinguishable bins. [ 4 ]
The star schema is an important special case of the snowflake schema, and is more effective for handling simpler queries. [2] The star schema gets its name from the physical model's [3] resemblance to a star shape with a fact table at its center and the dimension tables surrounding it representing the star's points.
Umbilics can also be characterised by the pattern of the principal direction vector field around the umbilic which typically form one of three configurations: star, lemon, and lemonstar (or monstar). The index of the vector field is either −½ (star) or ½ (lemon, monstar). Elliptical and parabolic umbilics always have the star pattern ...
In his work titled Essays upon the Mathematics of Mordente: One Hundred and Sixty Articles against the Mathematicians and Philosophers of this Age (Prague: 1588), [2] Italian philosopher, cosmological theorist, and Hermetic occultist Giordano Bruno used the unicursal hexagram symbol to represent Figura Amoris ("figure of love") [2] part of the Hermetic trinity in his mathesis.
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In computer programming, the interpreter pattern is a design pattern that specifies how to evaluate sentences in a language. The basic idea is to have a class for each symbol ( terminal or nonterminal ) in a specialized computer language .