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In mathematics, the lexicographic or lexicographical order (also known as lexical order, or dictionary order) is a generalization of the alphabetical order of the dictionaries to sequences of ordered symbols or, more generally, of elements of a totally ordered set . There are several variants and generalizations of the lexicographical ordering.
Sorting algorithm. In computer science, a sorting algorithm is an algorithm that puts elements of a list into an order. The most frequently used orders are numerical order and lexicographical order, and either ascending or descending.
Tuple. In mathematics, a tuple is a finite sequence or ordered list of numbers or, more generally, mathematical objects, which are called the elements of the tuple. An n-tuple is a tuple of n elements, where n is a non-negative integer. There is only one 0-tuple, called the empty tuple. A 1-tuple and a 2-tuple are commonly called a singleton ...
To effectively convert a Lehmer code d n, d n−1, ..., d 2, d 1 into a permutation of an ordered set S, one can start with a list of the elements of S in increasing order, and for i increasing from 1 to n set σ i to the element in the list that is preceded by d n+1−i other ones, and remove that element from the list.
Monty Python's Guide to Albrecht Dürer. Anita Ekberg Sings Albrecht Dürer. "The Merchant of Venice" as performed by a herd of cows. Doctor Breeder. Flashers' Love Story (animated) Little Red Riding Hood. Silly Olympics. Stake Your Claim. The Lumberjack Song with The Austrian Border Police.
List comprehension. A list comprehension is a syntactic construct available in some programming languages for creating a list based on existing lists. It follows the form of the mathematical set-builder notation ( set comprehension) as distinct from the use of map and filter functions.
Python 2.7+ also supports set comprehensions and dictionary comprehensions. First-class functions. In Python, functions are first-class objects that can be created and passed around dynamically. Python's limited support for anonymous functions is the lambda construct. An example is the anonymous function which squares its input, called with the ...
List of mathematical series. This list of mathematical series contains formulae for finite and infinite sums. It can be used in conjunction with other tools for evaluating sums. is a Bernoulli polynomial. is an Euler number. is the Riemann zeta function. is the gamma function. is a polygamma function. is a polylogarithm.