Initially a study of systems of polynomial equations in several variables, the subject of algebraic geometry starts where equation solving leaves off, and it becomes even more important to understand the intrinsic properties of the totality of solutions of a system of equations, than to find a specific solution ; this leads into some of the deepest areas in all of mathematics, both conceptually and in terms of technique.

( Initially composed of an infantry division, eventually covering all Brazilian military forces who participated in the conflict.

Initially, Emperor Wilhelm II told the Archduke Franz Ferdinand that Germany was ready to support Austria in all circumstances — even at the risk of a world war, but the Austro-Hungarians hesitated.

Initially such topics cover most, if not all, of the sub-disciplines of electrical engineering.

Initially, the opening sequence included all five characters from the original film, but, in an effort to save time and money, all but Ash and Linda were cut from the final draft.

Initially, their proof was not accepted by all mathematicians because the computer-assisted proof was infeasible for a human to check by hand.

Initially the components required for kernel and development were written: editors, shell, compiler and all the others.

Initially, the Central Junta declared support for Ferdinand VII, and convened a " General and Extraordinary Cortes " for all the kingdoms of the Spanish Monarchy.

Initially confined to the immigrant communities during the mid-19th century, it was gradually assimilated into mainstream society and by the first decade of the 20th century it was being celebrated coast to coast by people of all social, racial and religious backgrounds.

Initially, the issue taken was limited to distilled liquors, but quickly evolved into teetotalism and Methodists were commonly known to abstain from all alcoholic beverages.

Initially, the consuls possessed all of the king ’ s powers in the form of two men, elected for a one-year term, who could veto each others actions.

Initially, Saladin attempted to organize his men into battle order, but as his bodyguards were being killed, he saw that defeat was inevitable and so with a small remnant of his troops mounted a swift camel, riding all the way to the territories of Egypt.

Initially all tape cells are marked with 0.

Initially developed with the theme of equal opportunity access and inclusion of students with learning or physical disabilities, the themes governing universal access to education have now expanded across all forms of ability and diversity.

Initially covering a wide variety of fantasy and science-fiction role-playing and board games, particularly the role playing games ( Advanced ) Dungeons & Dragons, RuneQuest and Traveller ( which were all published by other games companies ), the magazine underwent a major change in style and content in the late 1980s and is now dedicated exclusively to the miniature wargames produced by Games Workshop, mainly the core systems of Warhammer Fantasy Battle, Warhammer 40, 000 and The Lord of the Rings Strategy Battle Game.

Initially the groupe comprised a group of French fighter pilots sent to aid Soviet forces on the Eastern Front at the suggestion of Charles de Gaulle, leader of the Free French Forces, who felt it important that French servicemen serve on all fronts in the war.

Initially, only British riders were allowed to compete ( although women were allowed, despite being banned from riding in the Olympics ), but the competition is now an international open to all riders from around the world who have qualified for this level of competition.

Initially, this format was only to be used in endurance races, but was eventually applied to all races.

Initially, all of the functional structural elements of the building were colour-coded: green pipes are plumbing, blue ducts are for climate control, electrical wires are encased in yellow, and circulation elements and devices for safety ( e. g., fire extinguishers ) are red.

Initially, in the 14th and 15th centuries, the name was used for all kinds of foreign gold coins used in Poland, most notably Venetian and Hungarian ducats.

Initially, all modern linguistics was historical in orientation, even the study of modern dialects involved looking at their origins.

Initially all troubadour verses were called simply vers, yet this soon came to be reserved for only love songs and was later replaced by canso, though the term lived on as an antique expression for the troubadours ' early works and was even employed with a more technically meaning by the last generation of troubadours ( mid-14th century ), when it was thought to derive from the Latin word verus ( truth ) and was thus used to describe moralising or didactic pieces.

Initially all were top loading, usually with cassette on one side, and VU meters and recording level controls on the other side.

Initially, all ERPI-wired theaters were made Vitaphone-compatible ; most were equipped to project Movietone reels as well.

Initially, it was relatively unsuccessful, staying at the charts for only one week, but Haley soon scored a major worldwide hit with a cover version of Big Joe Turner's " Shake, Rattle and Roll ", which went on to sell a million copies and became the first ever rock ' n ' roll song to enter British singles charts in December 1954 and became a Gold Record.

Initially, the October 2010 SDSR outlined a reduction of the Regular British Army by 7, 000 to a trained strength of 95, 000 personnel by 2015.

Initially this meant the construction of three zones of occupation, i. e., American, British, and Soviet.

Initially he worked in repertory before being spotted by the nascent British post-war film industry.

Initially, British subjects from Australia made up the majority, but the establishment of the Caledonian Company of the New Hebrides in 1882 soon tipped the balance in favour of French subjects.

Initially it was claimed by David Cameron that Adams had accepted the title but Downing Street has since apologised for this and Adams has publicly rejected the title stating, " I have had no truck whatsoever with these antiquated and quite bizarre aspects of the British parliamentary system ".

Initially a dispute between formerly Spanish Guatemala and the United Kingdom's colony of British Honduras, Guatemala continued its claim after Belizean independence in 1981 ; it recognized its neighbour's independence one decade later, in 1991.

Initially this unit was to be called Marine Commandos and were to be the counterpart to the British Commandos.

Only Visiting This Planet, which was " Initially coordinated by George Martin ", and was produced by The Triumvirate of British producers Rod Edwards, Roger Hand, and Jon Miller, often ranked as Norman's best album, " mixed his Christian message with strong political themes ", and " was meant to reach the flower children disillusioned by the government and the church " with its " abrasive, urban reality of the gospel ".

Initially the British considered the Dutch allies in their attempt to stamp out the rebellion in their American colonies.

Initially, the Americans, under the command of James Winchester, fought off the British and Indians in what was later dubbed the First Battle of the River Raisin.

Initially sold to American collector Allan Davisson for £ 230, 000 at an auction held by Spink auction house in October of that year, the British Government subsequently put in place an export ban in the hope of saving it for the British public.

Initially lacking sufficient manpower, the British allowed the Hungarians to remain in charge and only commandant Kramer was arrested.

Initially, he served in the King's Own Yorkshire Light Infantry before joining the Parachute Regiment and being assigned to the 7th ( Light Infantry ) Parachute Battalion as part of the British 6th Airborne Division.

Initially expecting a walkover, British XXX Corps planned to reach the British airborne forces within two to three days.

Initially proposed as a British and Polish operation codenamed Comet, the plan was soon expanded to involve most of the First Allied Airborne Army and a set piece ground advance into the Netherlands, codenamed Market Garden.

The first purpose-designed fighter aircraft included the British Vickers F. B. 5-machine gun armament was also fitted to several French types, such as the Morane-Saulnier L and N. Initially the German Air Service lagged behind the Allies in this respect with no purpose built fighting aircraft.

Initially, Britain and Israel collaborated to develop the United Kingdom's Chieftain tank that had entered British Army service in 1966.

Initially colonial poetry had a preoccupation with British themes.

Initially, the British were inclined to accept Kolchak ’ s offer, and there were plans to send Kolchak to Mesopotamia ( modern Iraq ).

Initially an official operating primarily under the auspices of the British East India Company during the 18th century, under the Government of India Act 1858, the office of Viceroy became an official part of the British Government.