Definition of Shortlex. Meaning of Shortlex. Synonyms of Shortlex

Here you will find one or more explanations in English for the word Shortlex. Also in the bottom left of the page several parts of wikipedia pages related to the word Shortlex and, of course, Shortlex synonyms and on the right images related to the word Shortlex.

Definition of Shortlex

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Meaning of Shortlex from wikipedia

- formal languages, shortlex is a total ordering for finite sequences of objects that can themselves be totally ordered. In the shortlex ordering, sequences...
- sequence. This variant of the lexicographical order is sometimes called shortlex order. In lexicographical order, the word "Thomas" appears before "Thompson"...
- D 6 ∗ / ∼ {\displaystyle {\mathcal {D}}_{6}^{*}/\sim } equipped with a shortlex order, where the equivalence class ∼ {\displaystyle \sim } is { n ∈ D 6...
- minimal element. See Shortlex for an alternative string ordering that preserves well-foundedness. For the example alphabet, the shortlex order is ε < 0 <...
- some recursive order. For instance, the binary Champernowne sequence in shortlex order is 0 1 00 01 10 11 000 001 ... (sequence A076478 in the OEIS) where...
- 10\ 11\ 000\ 001\ldots } formed by concatenating all binary strings in shortlex order, clearly contains all the binary strings and so is disjunctive. (The...
- numerals, in natural order of the integers represented, is automatically in shortlex order (shortest first, lexicographical within each length). Thus, using...
- setting the n th bit of the sequence to 1 if and only if the n th string (in shortlex order) is in the language. This representation is useful in the diagonalization...
- {\displaystyle <} among the words generated by X {\displaystyle X} (e.g., shortlex order). For each relation P i = Q i {\displaystyle P_{i}=Q_{i}} in R {\displaystyle...
- extra-large type are biautomatic (David Peifer). Artin groups of large type are shortlex automatic with regular geodesics (Derek Holt and Sarah Rees). Many other...