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 pS(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.
The lexicon of a language is its vocabulary.
Lexicon is also a synonym for a dictionary or encyclopedic dictionary, and may also refer to:
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.
Eyes are the organs of vision. They detect light and convert it into electro-chemical impulses in neurons. In higher organisms, the eye is a complex optical system which collects light from the surrounding environment, regulates its intensity through a diaphragm, focuses it through an adjustable assembly of lenses to form an image, converts this image into a set of electrical signals, and transmits these signals to the brain through complex neural pathways that connect the eye via the optic nerve to the visual cortex and other areas of the brain. Eyes with resolving power have come in ten fundamentally different forms, and 96% of animal species possess a complex optical system. Image-resolving eyes are present in molluscs, chordates and arthropods.
The simplest "eyes", such as those in microorganisms, do nothing but detect whether the surroundings are light or dark, which is sufficient for the entrainment of circadian rhythms. From more complex eyes, retinal photosensitive ganglion cells send signals along the retinohypothalamic tract to the suprachiasmatic nuclei to effect circadian adjustment and to the pretectal area to control the pupillary light reflex.
Eyes is an ABC television series starring Tim Daly as Harlan Judd. Eyes follows the firm of Judd Risk Management which uses marginally legal means to investigate individuals and crimes where law enforcement would fall short. With the help of high-tech gadgets, Harlan Judd and his employees recover money for victims as well as investigate individuals for clients but still manage to keep plenty of secrets from one another.
In May 2005, having rescheduled the sixth episode twice, ABC announced that they would not be airing the remaining episodes until June at the earliest. They later announced that it would not be picked up for a second season and that the remaining episodes would remain unaired.
New Zealand television station TV2 picked up this show and aired the complete series, all twelve episodes, in the second half of 2005. These episodes appeared online via BitTorrent soon after. The show was also partially aired on Singapore television station Mediacorp Channel 5, with the pilot episode and episodes #106 to #112 being skipped. Episode #111 ("Burglary") was an exception, and was aired as the fifth episode. The show was also aired in full on France cable television station Canal Jimmy in 2006. In the beginning of 2008 the show was aired in full on Polish television station TVN 7. The series was shown on the Nine Network in Australia in 2007.
Eyes are the organs of vision.
Eyes or The Eyes can also refer to: