Basic theories, such as arithmetic, real analysis and complex analysis are often introduced non-axiomatically, but implicitly or explicitly there is generally an assumption that the axioms being used are the axioms of Zermelo – Fraenkel set theory with choice, abbreviated ZFC, or some very similar system of axiomatic set theory like Von Neumann – Bernays – Gödel set theory, a conservative extension of ZFC.

He was a cultivated patron of literature and art, and it was in his time that the first printing press authorized to use the Arabic or Turkish languages was set up in Constantinople, operated by Ibrahim Muteferrika ( while the printing press had been introduced to Constantinople in 1480, all works published before 1729 were in Greek, Armenian, or Hebrew ).

It appears likely that the Rule of Chrodegang, a continental set of ordinances for the communal life of secular canons, was introduced into England by Ealdred sometime before 1059.

In mathematics, the axiom of regularity ( also known as the axiom of foundation ) is one of the axioms of Zermelo – Fraenkel set theory and was introduced by.

In 1650 the Minuet, originally a peasant dance of Poitou, was introduced into Paris and set to music by Jean-Baptiste Lully and danced by the King Louis XIV in public, and would continue to dominate ballroom from that time until the close of the 18th century.

* The sixth UK series introduced secret missions where housemates would be able to win luxuries if they completed a secret task set by " Big Brother ".

Early in the year 1928 a second Measure ( known as the Prayer Book Measure 1928 ) was introduced in the Church Assembly, proposing to authorise the use of the Deposited Book of the previous year with certain amendments thereto which were set out in a Schedule to Measure.

In 2003, the All Japan Kendo Federation ( AJKF ) introduced a set of basic exercises using a bokuto called Bokuto Ni Yoru Kendo Kihon-waza Keiko-ho.

Improvements were made in nursing accommodation in order to recruit more nurses and reduce labour shortages which were keeping 60, 000 beds out of use, and efforts were made to reduce the imbalance “ between an excess of fever and tuberculosis ( TB ) beds and a shortage of maternity beds .” In addition, BCG vaccinations were introduced for the protection of medical students, midwives, nurses, and contacts of patients with TB, while a pension scheme was set up for employees of the newly-established NHS.

For example, Georg Cantor ( who introduced this concept ) demonstrated that the real numbers cannot be put into one-to-one correspondence with the natural numbers ( non-negative integers ), and therefore that the set of real numbers has a greater cardinality than the set of natural numbers.

In general topological spaces, however, the different notions of compactness are not necessarily equivalent, and the most useful notion, introduced by Pavel Alexandrov and Pavel Urysohn in 1929, involves the existence of certain finite families of open sets that " cover " the space in the sense that each point of the space must lie in some set contained in the family.

In this case the specific name marinus changes to marina in order to conform with the rules of gender agreement as set out by the International Code of Zoological Nomenclature changing the binomial name from Bufo marinus to Rhinella marina ; the binomial Rhinella marinus was subsequently introduced as a synonym through misspelling by Pramuk, Robertson, Sites, and Noonan ( 2008 ).

Another release of the 6x86, the 6x86MX, added MMX compatibility, introduced the EMMI instruction set, and quadrupled the primary cache size to 64 KB.

In 2007, SkyCable introduced the DigiBox, a cable TV set top box that provides a digital television ( Digital television ) ( DTV ) signal for higher video quality and prevents illegal cable TV connections.

* Iris flower data set-multivariate data set introduced by Ronald Fisher ( 1936 ).

The Eclipse family of systems was later introduced with an extended upwardly compatible instruction set, and the MV-series further extended the Eclipse into a 32-bit architecture to compete with the DEC VAX.

The word " forest " comes from Middle English forest, from Old French forest ( also forès ) " forest, vast expanse covered by trees "; first introduced in English as the word for wild land set aside for hunting without the necessity in definition for the existence of trees ( James 1981 ; Muir 2000, 2008 ).

The word was introduced by the Norman rulers of England as a legal term ( appearing in Latin texts like the Magna Carta ) denoting an uncultivated area legally set aside for hunting by feudal nobility ( see Royal Forest ).

When Babrius set down fables from the Aesopica in verse for a Hellenistic Prince " Alexander ," he expressly stated at the head of Book II that this type of " myth " that Aesop had introduced to the " sons of the Hellenes " had been an invention of " Syrians " from the time of " Ninos " ( personifying Nineveh to Greeks ) and Belos (" ruler ").

This paper introduced what is now called the ring of Gaussian integers, the set of all complex numbers a + bi where a and b are integers.

Cantor introduced fundamental constructions in set theory, such as the power set of a set A, which is the set of all possible subsets of A.

Walter Scott's 1822 novel The Pirate is set in " a remote part of Shetland ", and was inspired by his 1814 visit to the islands.

That same year, Rhino Records released the four disc and DVD box set Pirate Radio 1979-2005 which spanned the group's entire career.

Walter Scott set part of his 1821 novel The Pirate in the Old House of Sumburgh during the 17th century, which he named Jarlshof.

In September 2010 Blessed recorded the voiceover to Sheherazade, or The Princess, the Pirate and the Baboon !, an album of children's stories set to the classical music composition Scheherazade by Nikolai Rimsky-Korsakov and also featuring the voices of Rory Bremner, Jess Murphy, Sam Morris and Nigel Garton.

In Story mode, the player chooses one of four careers ( United Earth League military, Mars Consortium militia, Marauder Pirate Clan, mercenary ) and follows Terminuss single-player storyline, set in the year 2197.

The final issue implied that Pirate Lion, piloting the Shocking Shark with first mate Webslinger Spider, was the Sunburst Warrior who would be able to set things aright.

While Ward's brother set up a trading business in Shanghai, Ward himself took up customary employment as the executive officer on the “ Confucius ”; an armed riverboat commanded by an American, employed by the “ Shanghai Pirate Suppression Bureau ”.

It is the only set to lack the Pirate faction.

Westport House also has a Pirate Adventure Park with a Pirate Ship thrill ride, Pirates ' Plunge flume ride, mini Railway, white swan pedal boats, cannon-ball run slippery slide, Pirate's Den indoor soft play area, dungeons, Pirate's Playground, pitch and putt, fishing, Gracy's Bar and Cafe and a large Caravan and Camping Park set in secluded woodland.

Two 1996 Pirate sets, " Red Beard Runner " and " Armada Flagship ", and one 1994 Islanders set, " Enchanted Island ", were re-released for 2001.

Its notoriety arises from an incident in 1894 in which the then owner, an English landlady named Agnes McDonnell, was savagely beaten and the house set alight, allegedly by a local man, James Lynchehaun.

The first known instance of Newton's lines joined to music was in A Companion to the Countess of Huntingdon's Hymns ( London, 1808 ), where it is set to the tune " Hephzibah " by English composer John Jenkins Husband.

American English is a set of dialects of the English language used mostly in the United States.

* Lit as the past tense of light is more common than lighted in the UK ; American English uses lit to mean " set afire " / " kindled " / " made to emit light " but lighted to mean " cast light upon " ( e. g., " The stagehand lighted the set and then lit a cigarette .").

When AA was ported to the English Electric KDF9 computer, the character set was changed to ISO and that compiler has been recovered from an old paper tape by the Edinburgh Computer History Project and is available online, as is a high-quality scan of the original Edinburgh version of the Atlas Autocode manual.

The first was probably the cycle A Shropshire Lad set by Arthur Somervell in 1904, who had begun to develop the concept of the English song-cycle in his version of Tennyson's Maud a little previously.

As nothing cannot be known by any means or method it must mean, in the context of the question, that a specific named object is present or not present in the observer's experience of a set of objects, conditions for which English uses " is " or " is not.

Beowulf (; in Old English or ) is the conventional title of an Old English heroic epic poem consisting of 3182 alliterative long lines, set in Scandinavia, commonly cited as one of the most important works of Anglo-Saxon literature.

The term " bagpipe " is equally correct in the singular or plural, although in the English language, pipers most commonly talk of " the pipes ", " a set of pipes ", or " a stand of pipes ".

This special, set in the English Civil War, was shown as part of Comic Relief's Red Nose Day on Friday 5 February 1988.

Further developed, and fully translated into English, this Communion service was included, one year later, in 1549, in a full prayer book, set out with daily offices, readings for Sundays and Holy Days, the Communion Service, Public Baptism, of Confirmation, of Matrimony, The Visitation of the Sick, At a Burial and the Ordinal ( added in 1550 ).

In the four Atlantic provinces ( Nova Scotia, New Brunswick, Prince Edward Island, and Newfoundland and Labrador ), the reception of English law was automatic, under the principle set out by Blackstone relating to settled colonies.

Upon the transfer of the colony to British control, the British government issued the Royal Proclamation of 1763, which imposed English common law on the colony, under the principle set out in Blackstone relating to captured colonies.

The Province of Manitoba set this date for the reception of English law for matters coming within provincial jurisdiction.

British Columbia was considered to be a settled colony and therefore received English law automatically, under the principle set out by Blackstone.

Catherine's English subjects held her in high esteem, thus her death set off tremendous mourning among the English people.

In English law ( a common law jurisdiction ) the law on contempt is partly set out in case law, and partly specified in the Contempt of Court Act 1981.

The novel, which won the 2009 International Prize for Arabic Fiction and will be published in English under the title Azazeel, is set in 5th-century Egypt and Syria and deals with the early history of Christianity.

The 2011 contemporary classical concept album Troika is composed of new orchestral songs set to Russian, English, and French-language poetry by five multilingual Russian-born writers: Joseph Brodsky, Mikhail Lermontov, Vladimir Nabokov, Aleksandr Pushkin and Fyodor Tyutchev.

Later, Defoe wrote Memoirs of a Cavalier ( 1720 ), set during the Thirty Years ' War and the English Civil War.

While the dative case is no longer a part of modern English usage, it survives in a few set expressions.