Disjunctive sequence

A disjunctive sequence is an infinite sequence (over a finite alphabet of characters) in which every finite string appears as a substring. For instance, the binary Champernowne sequence

formed by concatenating all binary strings in shortlex order, clearly contains all the binary strings and so is disjunctive. (The spaces above are not significant and are present solely to make clear the boundaries between strings). The complexity function of a disjunctive sequence S over an alphabet of size k is p_S(n) = kⁿ.

Any normal sequence (a sequence in which each string of equal length appears with equal frequency) is disjunctive, but the converse is not true. For example, letting 0ⁿ denote the string of length n consisting of all 0s, consider the sequence

obtained by splicing exponentially long strings of 0s into the shortlex ordering of all binary strings. Most of this sequence consists of long runs of 0s, and so it is not normal, but it is still disjunctive.

A disjunctive sequence is recurrent but never uniformly recurrent/almost periodic.

Lexicon (disambiguation)

The lexicon of a language is its vocabulary.

Lexicon is also a synonym for a dictionary or encyclopedic dictionary, and may also refer to:

See also

Lexicon (game)

Lexicon is a computer-assisted role-playing game invented by Neel Krishnaswami and popularised by the indie role-playing game community. As originally proposed, it is played online using wiki software. Players assume the role of scholars who write the history and background of a particular fictitious time, setting, or incident. As the game goes on, the players collaboratively create an elaborately interwoven account.

Each game is a series of 26 turns, keyed to the letters of the alphabet from A to Z. On the first turn, each player must write an Encyclopedia-style entry beginning with the letter A, citing and linking to two entries that are not yet written. These are called "undefined" entries. Undefined entries must begin with a letter later in the alphabet.

The 25 subsequent turns proceed consecutively through the letters of the alphabet, one letter per turn. In a turn, each player writes one entry that begins with the turn's specified letter. If one or more undefined entries are available that begin with the letter, a player must choose and write an undefined entry before any new entries can be created under that letter. A new entry must create and link to two undefined entries, and must also link to an entry written on a previous turn. Near the endgame, when sufficient undefined entries exist to occupy all players for the remainder of the game, no new undefined entries may be created.

Introduction

Introduction, The Introduction, Intro, or The Intro may refer to:

Intro (R&B group)

Intro is an American R&B trio from Brooklyn, New York City, New York. The trio consisted of members Jeff Sanders, Clinton "Buddy" Wike and lead singer/songwriter Kenny Greene. Intro released two albums (for Atlantic Records): 1993's Intro and their second album, 1995's New Life. The group had a string of US hits in the 1990s. The hits included the singles "Let Me Be The One", the Stevie Wonder cover "Ribbon in the Sky", "Funny How Time Flies" and their highest charting hit, "Come Inside".

Intro's Kenny Greene died from complications of AIDS in 2001. Intro recently emerged as a quintet consisting of Clinton "Buddy" Wike, Jeff Sanders, Ramon Adams and Eric Pruitt. Adams departed in 2014, with the group back down to its lineup as a trio. They are currently recording a new album to be released in 2015. The group released a new single in 2013 called "I Didn't Sleep With Her" and a new single "Lucky" in October 2014.

Discography

Albums

Singles

References

Introduction (music)

In music, the introduction is a passage or section which opens a movement or a separate piece, preceding the theme or lyrics. In popular music this is often abbreviated as intro. The introduction establishes melodic, harmonic, and/or rhythmic material related to the main body of a piece.

Introductions may consist of an ostinato that is used in the following music, an important chord or progression that establishes the tonality and groove for the following music, or they may be important but disguised or out-of-context motivic or thematic material. As such the introduction may be the first statement of primary or other important material, may be related to but different from the primary or other important material, or may bear little relation to any other material.

A common introduction to a rubato ballad is a dominant seventh chord with fermata, Play  an introduction that works for many songs is the last four or eight measures of the song, Play  while a common introduction to the twelve-bar blues is a single chorus. Play