Some adaptations of the Latin alphabet are augmented with ligatures, such as æ in Old English and Icelandic and Ȣ in Algonquian ; by borrowings from other alphabets, such as the thorn þ in Old English and Icelandic, which came from the Futhark runes ; and by modifying existing letters, such as the eth ð of Old English and Icelandic, which is a modified d. Other alphabets only use a subset of the Latin alphabet, such as Hawaiian, and Italian, which uses the letters j, k, x, y and w only in foreign words.

: For any set A there is a function f such that for any non-empty subset B of A, f ( B ) lies in B.

For example, suppose that each member of the collection X is a nonempty subset of the natural numbers.

The reason that we are able to choose least elements from subsets of the natural numbers is the fact that the natural numbers are well-ordered: every nonempty subset of the natural numbers has a unique least element under the natural ordering.

Similarly, although a subset of the real numbers that is not Lebesgue measurable can be proven to exist using the axiom of choice, it is consistent that no such set is definable.

** Hausdorff maximal principle: In any partially ordered set, every totally ordered subset is contained in a maximal totally ordered subset.

The restricted principle " Every partially ordered set has a maximal totally ordered subset " is also equivalent to AC over ZF.

** If S is a set of sentences of first-order logic and B is a consistent subset of S, then B is included in a set that is maximal among consistent subsets of S. The special case where S is the set of all first-order sentences in a given signature is weaker, equivalent to the Boolean prime ideal theorem ; see the section " Weaker forms " below.

** Every infinite game in which is a Borel subset of Baire space is determined.

** The Vitali theorem on the existence of non-measurable sets which states that there is a subset of the real numbers that is not Lebesgue measurable.

Some say that literary criticism is a subset of literary theory.

Similarly, the subset order ⊆ on the subsets of any given set is antisymmetric: given two sets A and B, if every element in A also is in B and every element in B is also in A, then A and B must contain all the same elements and therefore be equal:

In analysis, the area of a subset of the plane is defined using Lebesgue measure, though not every subset is measurable.

It is often used for arcade gun games, with early examples including Sega's Sea Devil in 1972, Taito's Attack in 1976 and Cross Fire in 1977, and Nintendo's Battle Shark in 1978.

* The PowerBack enables the Game Gear to have a longer battery life, and is rechargeable with Sega's Genesis 2 power adapter.

Sega's black and white boxing game Heavyweight Champ, which was released in 1976, is considered the first video game to feature fist fighting.

Ryo is a playable character in Sega's mascot racer Sonic & Sega All-Stars Racing.

* In Sega's " The House of the Dead " the fourth and final boss of the first game is named after the Magician tarot card and resembles a demon that can manipulate fire.

* In The House of the Dead 4, part of Sega's The House of the Dead series of light gun games, the Empress is the name of the third boss, a chainsaw wielding giant.

is the first installment in Sega's renowned series of the same name.

On the other hand, in the handheld market, Yokoi's refusal to adopt a color display for the Game Boy in favor of long battery life is cited as the main reason it prevailed against Sega's Game Gear and the Atari Lynx.

In 1979, Sega's Head On was a racing game that played like a maze chase game and is thus considered a precursor to the 1980 hit Pac-Man.

is a 2002 handheld platform video game developed by Sonic Team and Dimps exclusively for the Game Boy Advance as part of Sega's Sonic the Hedgehog series.

VGM ( Video Game Music ) is an audio format for multiple video game platforms, such as Sega's Master System, Game Gear, Mega Drive / Genesis, SG-1000 Mark III, MSX, NeoGeo and many others.

Sega's Phantasy Star series is such a notorious offender in this aspect that some fans decided to redo the translation in strict fidelity to the Japanese version, while others tried to figure out an independent timeline for each version.

While many of their games were clones or remakes of popular arcade games ( e. g. Hopper is a clone of Sega's Frogger, Snapper is Namco's Pac-Man, Arcadians is Namco's Galaxian ), they also published a number of original, innovative titles ( such as Revs and Elite ) that went on to spawn entire genres that live on to this day.

The game is on Sega's B-Club download service.

It is the second installment in Sega's acclaimed Phantasy Star series and serves as a sequel to the original Phantasy Star for the Master System.

Sonic the Hedgehog is an ongoing series of American comic books published by Archie Comics, featuring Sega's mascot video game character of the same name.

Make Trax is a maze game similar to Sega's Head On and Namco's Pac-Man, in which the player controls a paintbrush and must paint the entire layout in order to advance to the next stage.

Sonic the Hedgehog: The Movie (" Sonic The Movie " for short, also known simply as the Sonic Anime or Sonic OVA ) is a two-episode OVA film series based on Sega's best-selling franchise Sonic the Hedgehog.

Sega's 1986 video game Out Run is a good example of this technique, though it was predated by the 1982 Namco game Pole Position, while the first contenders date back to mid-1970s: Interceptor released by Taito in 1975, and Moto-Cross ( re-branded as Fonz that same year ) and Road Race released by Sega in 1976.

The Typing of the Dead is a modification of Sega's 1998 light gun arcade game, The House of the Dead 2, replacing that title's gun with a computer keyboard.

Sega's solo project is known as The Alpha Conspiracy.

It is based on Sega's NAOMI system board ( thus it's common to see the " Sega " logo on its boot up screen ).

A minigame version of Nights into Dreams ... is playable utilizing the Nintendo GameCube-to-Game Boy Advance connectivity with Phantasy Star Online Episode I & II and Billy Hatcher and the Giant Egg.

Phantasy Star is set in Algol, a solar system consisting of three planets.

Phantasy Star is widely regarded as one of the benchmark role-playing video games, and has been well received by players since the time of its release and into the present.

Phantasy is an independent record label estalished in London ( United Kingdom ), founded in 2007 by DJ & Producer Erol Alkan.

Phantasy Star Online ( PSO ) is a series of online multiplayer action RPG video games released by Sega.

Phantasy Star Online 2 was released in Japan for Windows in July 2012, and is due to be released for iOS and Android in late 2012 and for PlayStation Vita in 2013.

In Phantasy Star Online, normal mode is available to play at four different difficulty levels.

It is also used as a time reference on ICQ, and the online role-playing game Phantasy Star Online has used it since its launch on the Dreamcast in 2000 to try to facilitate cross-continent gaming ( as the game allowed Japanese, American and European players to mingle on the same servers ).

Phantasy Star II is set 1000 years after the events of its predecessor and follows the journey of a government agent called Rolf and his friends, who are on a mission to find out why the protector of the planet Mota, Mother Brain, has started malfunctioning.

Gameplay is similar to the original Phantasy Star, the first game in the series.

First is Palm ( formerly " Palma " in the original Phantasy Star ), the home of the government.

Phantasy Star II's top-down style travel is shown as Rolf and Nei move through a town

There are a total of eight playable characters in Phantasy Star II, each with his or her own personality, weapons and abilities ; Rolf uses swords and Rudo uses guns, while Kain is strong against robotic enemies and Hugh is strong against Biomonsters, and the female characters have their own arsenals of such these.

; Rolf: ( Japanese: ユーシス, Yūshisu, Eusis ) Rolf is the primary protagonist of Phantasy Star II, as well as the latest descendant of the main protagonist of the original Phantasy Star, Alis Landale.

He is supposed to be the same Esper who accompanies Alis in Phantasy Star, but due to the English version of Phantasy Star naming the said Esper Noah, this point is lost.

Phantasy Star II is regarded by many as a forerunner for certain aspects of role-playing video games, such as an epic, dramatic, character-driven storyline dealing with serious themes and subject matter, a strategy-based battle system, and the demand for extensive strategy guides for such games ( Phantasy Star II included one with the game itself ).