mathematics, the lexicographic or lexicographical order (also known as lexical order, or dictionary order) is a generalization of the alphabetical order of the...

forth ending with x1. The differences between graded lexicographic and graded reverse lexicographic orders are subtle, since they in fact coincide for 1...

methods of collation. In mathematics, a lexicographical order is the generalization of the alphabetical order to other data types, such as sequences of...

order. Each of these orders extends the next in the sense that if we have x ≤ y in the product order, this relation also holds in the lexicographic order...

In economics, lexicographic preferences or lexicographic orderings describe comparative preferences where an agent prefers any amount of one good (X) to...

printed and electronic dictionaries One important goal of lexicography is to keep the lexicographic information costs incurred by dictionary users as low...

Dictionary order may refer to: Alphabetical order § Treatment of multiword strings Other collation systems used to order words in dictionaries Lexicographic order...

instance. Thus the lexicographic successor of the initial state is permuted: [1, 2, 4, 3]. Following this algorithm, the next lexicographic permutation will...

total) order. As a classic example, the lexicographic order of totally ordered sets is a linear extension of their product order. Every partial order can...

to bytes. An OKVS will keep the key-value pairs sorted by the key lexicographic order. OKVS systems provides different set of features and performance...

Sequences (1973, ISBN 0-12-648550-X), containing 2,372 sequences in lexicographic order and assigned numbers from 1 to 2372. The Encyclopedia of Integer...

numbers, which are countable and can be placed in order first by sum of entries, and then by lexicographic order within a given sum (only finitely many sequences...

In general topology, the lexicographic ordering on the unit square (sometimes the dictionary order on the unit square) is a topology on the unit square...

In mathematics, a well-order (or well-ordering or well-order relation) on a set S is a total ordering on S with the property that every non-empty subset...

graphs are order relations, then the edge relation of their lexicographic product is the corresponding lexicographic order. The lexicographic product was...

has lexicographic preferences, ranking the possible solutions according to a lexicographic order of their objective function values. Lexicographic optimization...

An alternative construction involves concatenating together, in lexicographic order, all the Lyndon words whose length divides n. An inverse Burrows–Wheeler...

In the mathematical field of order theory, an order isomorphism is a special kind of monotone function that constitutes a suitable notion of isomorphism...

0)} are incomparable in the product order of the ordering 0 < 1 {\displaystyle 0<1} with itself. The lexicographic combination of two total orders is a...

or reverses the given order. This concept first arose in calculus, and was later generalized to the more abstract setting of order theory. In calculus,...

is an abstract structure studied in the mathematical subdisciplines of order theory and abstract algebra. It consists of a partially ordered set in which...

linear time by the following algorithm: Use lexicographic breadth-first search to find a lexicographic ordering of G For each vertex v: Let w be the neighbor...

Order theory is a branch of mathematics that investigates the intuitive notion of order using binary relations. It provides a formal framework for describing...

are sorted into lexicographical order. Shortlex ordering is also called radix, length-lexicographic, military, or genealogical ordering. In the context...

of a string possessing the lowest lexicographical order of all such rotations. For example, the lexicographically minimal rotation of "bbaaccaadd" would...

numbers correspond to distinct k-combinations, and produce them in lexicographic order. The numbers less than ( n k ) {\displaystyle {\tbinom {n}{k}}} correspond...

ordering on a set of strings. If the alphabet Σ has a total order (cf. alphabetical order) one can define a total order on Σ* called lexicographical order...

based algorithms for lexicographic breadth-first search and lexicographic topological ordering. In these algorithms, a weak ordering on the vertices of...

leximin-equivalent (but both are leximin-larger than (2,4,2)). In the lexicographic order, the first comparison is between x1 and y1, regardless of whether...

is called orderable or linearly orderable if there exists a total order on its elements such that the order topology induced by that order and the given...