mathematics, the lexicographic or lexicographical order (also known as lexical order, or dictionary order) is a generalization of the alphabetical order of the... 23 KB (3,352 words) - 07:24, 16 November 2023 |
forth ending with x1. The differences between graded lexicographic and graded reverse lexicographic orders are subtle, since they in fact coincide for 1... 14 KB (2,070 words) - 18:51, 25 January 2024 |
methods of collation. In mathematics, a lexicographical order is the generalization of the alphabetical order to other data types, such as sequences of... 37 KB (5,305 words) - 08:52, 30 April 2024 |
printed and electronic dictionaries One important goal of lexicography is to keep the lexicographic information costs incurred by dictionary users as low... 19 KB (2,113 words) - 08:13, 5 March 2024 |
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... 21 KB (3,094 words) - 17:19, 9 April 2024 |
Permutation (section Generation in 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... 76 KB (11,374 words) - 04:02, 19 April 2024 |
In economics, lexicographic preferences or lexicographic orderings describe comparative preferences where an agent prefers any amount of one good (X) to... 6 KB (807 words) - 05:02, 6 December 2023 |
Partially ordered set (redirect from Partial order) 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... 41 KB (5,544 words) - 20:42, 1 May 2024 |
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... 45 KB (5,561 words) - 14:24, 3 March 2024 |
Dictionary order may refer to: Alphabetical order § Treatment of multiword strings Other collation systems used to order words in dictionaries Lexicographic order... 269 bytes (56 words) - 14:34, 8 August 2020 |
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... 3 KB (333 words) - 13:59, 20 July 2023 |
Tree traversal (redirect from Pre-order traversal) 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... 25 KB (2,823 words) - 16:39, 10 February 2024 |
graphs are order relations, then the edge relation of their lexicographic product is the corresponding lexicographic order. The lexicographic product was... 4 KB (419 words) - 03:09, 19 August 2023 |
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... 12 KB (1,850 words) - 16:35, 24 January 2024 |
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... 5 KB (644 words) - 00:41, 28 April 2024 |
has lexicographic preferences, ranking the possible solutions according to a lexicographic order of their objective function values. Lexicographic optimization... 10 KB (1,544 words) - 06:07, 1 May 2024 |
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... 13 KB (1,591 words) - 21:28, 9 January 2024 |
Monotonic function (redirect from Order-preserving) 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,... 19 KB (2,400 words) - 19:58, 19 February 2024 |
are sorted into lexicographical order. Shortlex ordering is also called radix, length-lexicographic, military, or genealogical ordering. In the context... 3 KB (296 words) - 13:41, 21 October 2023 |
is an abstract structure studied in the mathematical subdisciplines of order theory and abstract algebra. It consists of a partially ordered set in which... 40 KB (5,663 words) - 11:53, 31 January 2024 |
of a string possessing the lowest lexicographical order of all such rotations. For example, the lexicographically minimal rotation of "bbaaccaadd" would... 6 KB (782 words) - 07:37, 12 October 2023 |
Order theory is a branch of mathematics that investigates the intuitive notion of order using binary relations. It provides a formal framework for describing... 31 KB (4,508 words) - 11:49, 5 March 2024 |
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... 11 KB (1,723 words) - 22:26, 27 February 2023 |
numbers correspond to distinct k-combinations, and produce them in lexicographic order. The numbers less than ( n k ) {\displaystyle {\tbinom {n}{k}}} correspond... 13 KB (1,871 words) - 05:12, 8 April 2024 |
In the mathematical field of order theory, an order isomorphism is a special kind of monotone function that constitutes a suitable notion of isomorphism... 7 KB (997 words) - 20:41, 15 December 2022 |
based algorithms for lexicographic breadth-first search and lexicographic topological ordering. In these algorithms, a weak ordering on the vertices of... 30 KB (4,360 words) - 19:22, 2 February 2024 |
given string, by lexicographic order. Find successor: Locates the smallest string greater than a given string, by lexicographic order. The datastructure... 18 KB (2,339 words) - 01:05, 27 April 2024 |