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, Gerald Ford and Jimmy Carter tried to operate without a chief of staff but both eventually appointed one.

Initially well regarded because of its speed and flexibility, it was made up of Privy Counsellors, as well as common-law judges, and supplemented the activities of the common-law and equity courts in both civil and criminal matters.

Initially created for Sierra On-Line by Mark Crowe and Scott Murphy ( who called themselves the " Two Guys from Andromeda "), the games parodied both science fiction properties such as Star Wars and Star Trek ( the theme song itself is a parody of the Star Wars theme ), as well as pop-culture phenomena from McDonald's to Microsoft.

Initially, the school served as both a high school and college.

Initially, they disliked the moniker, but eventually grew to like it, thinking it both humble and presumptuous.

Initially, as a result of the interaction of the electromagnetic field with the conducting surface of the mirror, both orthogonal components are effectively shifted by one half of a wavelength.

Initially, Denmark-Norway declared itself neutral in the Napoleonic Wars, established a navy, and traded with both sides.

Initially both Alice and Bob have a copy of the entire matrix A ( assuming the function is known to both ).

Initially his innovation was opposed by both Cherokee traditionalists and white missionaries who sought to encourage the use of English.

Initially, both governments claimed that they represented the entire German nation.

Initially the imperial government ordered both Nestorius and Cyril deposed and exiled.

Initially, Digital Research developed DOS Plus 1. 2 to 2. 1, a stripped-down and modified single-user derivative of Concurrent DOS 4. 1 and 5. 0, which ran applications for both platforms.

Initially, King Sigismund backed Oswald, but when informed by the other side in the dispute, both Sigismund and Friedrich switched sides and reinstated bishop Ulrich.

Initially, the NBA was planning to expand by three teams, with one franchise going to Florida ; however, when both Miami, and Orlando ownership groups made successful pitches, the expansion committee decided to expand by four teams, allowing both to have a franchise.

Initially successful both on the ice and at the gate, the North Stars fell victim to financial problems after several poor seasons in the mid-1970s.

Initially, St. Jerome's and Waterloo Lutheran were both expected to federate with the new UW, but in the end Waterloo Lutheran chose to remain independent.

Initially successful, the revolution proves infeasible on the basis of both a greater-than-expected willingness of the Earth troops to use violence and the extreme vulnerability of life on a planet without a habitable atmosphere.

Initially it had a population of 800 people and 200 families, both white and black.

Initially she draws the attention of a television journalist ( Dirk Bogarde ) and they both leave their spouses to begin an affair.

Initially in support of the Confederacy, soon the community became divided, with the men of Amity leaving to fight in both the Confederate Army and the Union Army.

Initially a small mining town, this town has changed noticeably both in its appearance and economic focus.

Initially his pleas to liberalise legislation on public morals and the rights of paedophiles had been positively received by some, both in the Netherlands and internationally.

Initially the conflict went badly for King Henry, and after the Battle of Lewes in 1264 he was forced to sign the Mise of Lewes, under which his son, Prince Edward, was given over to the rebels as a hostage.

Initially of low standing, Gustav rose to lead the rebel movement following the bloodbath in which his father was executed, and his election as King on June 6, 1523 ( currently recognised as the National holiday of Sweden ) and his triumphant entry into Stockholm eleven days later meant the end of Medieval Sweden's elective monarchy as well as the Kalmar Union, which had united the Nordic kingdoms since 1397, and the commencing of a hereditary monarchy under the House of Vasa which, currently under the House of Bernadotte, continues to date.

Initially the coup d ' état of the duke of Anjou was a success, but Catherine de Medici went out of her way to deprive him from any power in France: she sent him with the royal army to remain in front of La Rochelle and then had him elected King of the Polish-Lithuanian Commonwealth.

Initially, the vocalists consisted of artists such as Frank Sinatra, Nat King Cole, Johnny Mathis, Perry Como, Doris Day, and others.

Initially four locomotives were built, all with the word ' silver ' as part of their names, the first being 2509 Silver Link ; the others being 2510 Quicksilver, 2511 Silver King and 2512 Silver Fox.

Initially, King Manuel I of Portugal tried a power distribution with three governors in different areas of jurisdiction: a government covering the area and possessions in East Africa, Arabian Peninsula and Persian Gulf, overseeing up Cambay ( Gujarat ); a second one ruling the possessions in India ( Hindustan ) and Ceylon, and a third one from Malacca to the Far East .< ref > O Secretário dos despachos e coisas da Índia pero d ´ Alcáçova Carneiro, p. 65, Maria Cecília Costa Veiga de Albuquerque Ramos, Universidade de Lisboa, 2009 ( In Portuguese ) < http :// repositorio. ul. pt / bitstream / 10451 / 3387 / 1 / ulfl080844_tm. pdf ></ ref > However the post was centered by governor Afonso de Albuquerque ( 1509 – 1515 ), who became plenipotentiary, and remained so.

Initially, his son King Ramesuan became ruler of Ayutthaya, but King Ramesuan later abdicated in favor of King Ramathibodi's brother-in-law, King Borommaracha I.

Initially a royal memorandum, it eventually took on the force of law and was recognized as a statute by King Henry VIII and Queen Elizabeth I.

Initially the settlement was called Patersonia ; however, Paterson later changed the name to Launceston in honour of the New South Wales Governor Captain Philip Gidley King, who was born in Launceston, Cornwall.

Initially the King of Shandalle, Hawkwing opposed the False Dragon Guaire Amalasan, proving to be a master tactician and warrior who could move his armies at great speed, thus earning the name Hawkwing.

Initially close to the Girondists, Lindet was very hostile to King Louis XVI, provided a Rapport sur les crimes imputés à Louis Capet ( December 20, 1792 ) – a report of the king's alleged crimes – and voted for the king's execution without appeal.

Initially a static caption, an animated ident was introduced by 1965 in which the lion would spin inside a box, though this later modified as a simple zoom in following, according to some reports, a complaint from The Lord Lyon King of Arms, the man in charge of protecting Scotland's heraldry.

Initially a hamlet in the parish of Chesham, the manor was assessed at 1½ hides in the reign of King Edward the Confessor.

Initially, after working for Ferdinand Strauss, Marx, born in 1894, was a distributor with no products or manufacturing capacity ( King 1986, 188 ).

Initially during the war, Greece followed a course of neutrality, with the Prime Minister Eleftherios Venizelos favoring the Entente and pro-German King Constantine I advocating neutrality.

Initially he had a rival in his cousin, Hakon Magnusson who was the son of Olaf's short-lived brother King Magnus II of Norway.

Initially syndicated by Chronicle Features, it moved to the Universal Press Syndicate and then King Features.

Initially promulgated via the descendants of King Robert I of Scotland ( Robert the Bruce ) ( 1274-1329 ), it has been a Scottish surname since medieval times ; it is now a common given name.

Initially, the team is composed of Mai and King and Yuri Sakazaki from the Art of Fighting series, but it changes constantly.

Initially, He was the best friend of King Louis XV of France, whom he had known since the King was a child.