Set theory has come to play the role of a foundational theory in modern mathematics, in the sense that it interprets propositions about mathematical objects ( for example, numbers and functions ) from all the traditional areas of mathematics ( such as algebra, analysis and topology ) in a single theory, and provides a standard set of axioms to prove or disprove them.

Indians assisted us over the portage with our heavy articles on their horses, the waters is divided into Several narrow chanels which pass through a hard black rock forming Islands of rocks at this Stage of the water, on those Islands of rocks as well as at and about their Lodges I observe great numbers of Stacks of pounded Salmon neetly preserved in the following manner, i e after Suffiently Dried it is pounded between two Stones fine, and put into a species of basket neetly made of grass and rushes of better than two feet long and one foot Diamiter, which basket is lined with the Skin of Salmon Stretched and dried for the purpose, in theis it is pressed down as hard as is possible, when full they Secure the open part with the fish Skins across which they fasten tho the loops of the basket that part very Securely, and then on a Dry Situation they Set those baskets the Corded part up, their common Custom is to Set 7 as close as they can Stand and 5 on the top of them, and secure them with mats which is raped around them and made fast with cords and Covered also with mats, those 12 baskets of from 90 to 100 w. each form a Stack.

Set numbers were often reallocated in the same fashion as for " normal " series.

Set theory is a concept in mathematics that allows an understanding of what numbers belong to a group, or set.

* The category Set of all sets has the subcategory of all cardinal numbers as a skeleton.

Set in the shadows of the Harland and Wolff cranes Samson & Goliath, large numbers of local men worked in the shipyard during its heyday.

Five centuries after the time of Kull, their numbers dwindling even further, a group of Serpent Men ally themselves with some human alchemists from Deviant-dominated pre-cataclysmic Lemuria to create the Serpent Crown, a device which gives them access to some of the enormous mystical power of their " god " Set.

These include Pinball Construction Set ( 1983 ), ASCII's War Game Construction Kit ( 1983 ), Thunder Force Construction ( 1984 ), Adventure Construction Set ( 1984 ), Garry Kitchen's GameMaker ( 1985 ), Wargame Construction Set ( 1986 ), Shoot ' Em-Up Construction Kit ( 1987 ), Arcade Game Construction Kit ( 1988 ), and most popularly ASCII's RPG Maker engines from 1988 onwards.

A few commonly used subroutines can be called quickly by keeping their address in one of the 16 registers ; the SEP instruction is used to call a subroutine pointed to by one of the 16 bit registers and another SEP to return to the caller ( SEP stands for Set Program Counter, and selects which one of the 16 registers is to be used as the program counter from that point onwards ).

Nelson introduced an entirely axiomatic formulation of non-standard analysis that he called Internal Set Theory ( IST ).

Another example of the syntactic approach is the Alternative Set Theory introduced by Vopěnka, trying to find set-theory axioms more compatible with the non-standard analysis than the axioms of ZF.

The term is deemed central to Setian philosophy and practice, having been introduced at the founding of the Temple of Set in 1975, when Aquino made the claim that the Egyptian god Set communicated the word Xeper in the sense of " become " to him during the " North Solstice X Working " aka " The Santa Barbara Working.

Set in a dimly lit museum after hours, the pilot film featured Serling ( as on-camera host ) playing the curator, who introduced three tales of the macabre, unveiling canvases that would appear in the subsequent story segments ( its brief first season rotated as one spoke of a four-series programming wheel titled Four in One ).

Soon after forming The Jet Set, Crosby introduced McGuinn and Clark to his associate Jim Dickson, who became the group's manager.

Set in the Caribbean in the Golden Age of Piracy, the game introduced Guybrush Threepwood, a hapless amateur pirate.

They were introduced from the very beginning of the card game's history, with the Base Set.

Supporter cards were introduced in the Expedition Base Set.

Seven were in the Base Set, Darkness and Metal types appeared when Pokémon Gold and Silver introduced the Dark and Steel types and the Dragon type was finally introduced in the JP " Dragon Selection " set.

In 1963 Corgi introduced the Commer Constructor Set ( GS 24 ), which consisted of two Commer FC van chassis units and four different rear bodies – an ambulance, milk float, panel van and pick-up.

The first to be introduced in February 1960 were Plank Load ( 1485 ) and Cement Load ( 1488 ), and they were incorporated into Gift Set 11 including the ERF Dropside Lorry and Trailer in March 1960.

) BD also introduced a device that offered needle stick protection following blood-drawing procedures — BD Vacutainer Safety-Lok Blood Collection Set.

It is also the second set to have 120 cards, including reprints of cards introduced in the Base Set.

* Isaac Malitz originally introduced Positive Set Theory in his 1976 PhD Thesis at UCLA

An improvement of this scheme is a Partitioned Data Set Extended ( PDSE or PDS / E, sometimes just libraries ) introduced with MVS / XA system.

On February 24, 2003, Ready Set Learn introduced Paz the Penguin, who was seen in the block's official logo.

Set in France during the first half of the 20th century, it concerns a poor and illiterate man Henri Fortin ( Jean-Paul Belmondo ) who is introduced to Victor Hugo's classic novel Les Misérables and begins to see parallels between it and his own life.

Set in 2098, just a year after Wipeout 2097, Wipeout 64 introduced several elements to the Wipeout series: analog control is embraced, thanks to the Nintendo 64's in-built analog stick, to the extent that digital control-familiar to players of the previous games-is disabled, even though the controller has a digital pad.

The term is deemed central to Setian philosophy and practice, having been introduced at the founding of the religion in 1975, when its founder made the claim that the Egyptian god Set " communicated ' the word xeper to him " North Solstice X Working " ( PDF ).

HAM6 mode was introduced with the Original Chip Set and was retained in the later Enhanced Chip Set and Advanced Graphics Architecture.

The Base Modifiers were first introduced by the Club Foglio Set and cannot be found from the original 6 decks.

There were also many popular games officially converted to the Electron from arcade machines ( including Crystal Castles, Tempest, Commando, Paperboy and Yie Ar Kung-Fu ) or other home computer systems ( including Impossible Mission, Jet Set Willy, The Way of the Exploding Fist, Tetris, The Last Ninja, Barbarian and SimCity ).

Set prior to Remembrance of the Daleks in Davros's timeline, but after in the timeline of the Doctor, the latter, accompanied by Bernice Summerfield, together with help from the Sixth Doctor, ensures that Davros will survive the wrath of the Daleks so that he can assume the title of Emperor, allowing history to take its course.

* ICU Converter Explorer Contains more information about EBCDIC derived from IBM's CDRA, including DBCS EBCDIC ( Double Byte Character Set EBCDIC )

General responsibilities include arriving first at the location to allow the Set Dressers into the set for preparation ; maintaining the cleanliness of the location areas during filming ; fielding complaints from neighbors ; and ultimately, at the end of the filming, making sure it seems as though the film crew was never there.

Group actions / representations: Every group G can be considered as a category with a single object whose morphisms are the elements of G. A functor from G to Set is then nothing but a group action of G on a particular set, i. e. a G-set.

His work and essays popularising the new understanding of radioactivity was the main inspiration for H. G. Wells's The World Set Free ( 1914 ), which features atomic bombs dropped from biplanes in a war set many years in the future.

Set in the future, the film featured an all-star cast of monsters from many of Toho's earlier Kaiju films, eleven in all.

There was also a boxed set called variously The Factory Set and One With Everything which contained one of each card from the main set of the limited edition, multiples of the Illuminati cards, and a few cards previously only available in magazines.

Having extended itself on the lengthy jam " Revelation " from Da Capo, Love here composes a more focused mini-suite, the album-ending " You Set the Scene ".

Bruce Westbrook of The Houston Chronicle, in reviewing the re-mastered " Forever Changes " in 2001, called it a " seamless masterpiece, from the fervent acoustic opener ' Alone Again Or ' to the epic seven-minute finale ' You Set the Scene.

Set in a fictional universe in the Universal Century year 0079, the Principality of Zeon has declared independence from the Earth Federation, and subsequently launched a war of independence.

Set in the 24th century from the year 2371 through 2378, the series follows the adventures of the Starfleet vessel USS Voyager, which becomes stranded in the Delta Quadrant 75, 000 light-years from Earth while pursuing a renegade Maquis ship.

* Relational model — Borrows from Set Theory.

Three cards from a Set deck.

Therefore the probability of producing a Set from 3 randomly drawn cards from a complete deck is 1 / 79.

* If 26 Sets are drawn from a collection of 81 cards, the remaining 3 cards form a Set too.

In addition, a limited-edition " Achiever's Edition Gift Set " also included The Big Lebowski Bowling Shammy Towel, four Collectible Coasters that included photographs and quotable lines from the movie, and eight Exclusive Photo Cards from Jeff Bridges ’ personal collection.

Six weeks later the pair broke from the Temple of Set, forming their own Sethian movement, the Sethian Liberation Movement.

Biddulph ( 2010 ) has explained this by applying techniques from deterministic chaos to non-chaotic systems, in particular a computable version of Palmer's Universal Invariant Set proposition ( 2009 ), which allows the apparent weirdness of quantum phenomena to be explained as artefacts of the quantum apparatus not a fundamental property of nature.

Yoneda's lemma concerns functors from a fixed category C to the category of sets, Set.

Let F be an arbitrary functor from C to Set.