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, these initiatives were initially not openly opposed by the Prime Minister, but were criticized by the foreign minister Dimitrij Rupel, Drnovšek's former collaborator and close political ally until 2004.

Initially, this did not appear to be a problem: Borden had long called for the transfer of resource control to the prairie provinces, but when Sifton and Scott raised the issue with the new Prime Minister, little action resulted.

Initially, he contested for the Prime minister Secretariat and won the support of his party members when his supporters from the Peoples party and Muslim league defected to Q-Group to support him.

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, this was intended to be his final appearance, but after fan requests continued, " The Return of Optimus Prime ", a two-part episode was produced.

Initially, Sharon refused to resign, and Prime Minister Menachem Begin refused to fire him.

Initially put on trial for war crimes he was freed by Megatron, who argued to Sentinel Prime that Shockwave's mind would be an invaluable asset to them.

Initially serving as the law secretary for Law Minister Jogendra Nath Mandal and Prime minister Liaquat Ali Khan, Cornelius played an integral role setting the court system while advising the law minister and the prime minister.

Initially, Norton demanded £ 10, 000 from Melbourne, but Melbourne refused to be blackmailed, and Norton instead took the Prime Minister to court.

Initially, the Belgian Prime Minister Leterme welcomed the Dutch ( and Luxembourg ) take-over as good news for customers, shareholders and personnel, saying that this provided a solid foundation for the future.

Initially Bain made a considerable sum from his inventions but, due to poor investments, became poor, and in 1873, Sir William Thomson, Sir William Siemens, Latimer Clark and others obtained a Civil List pension for Bain from Prime Minister William Ewart Gladstone of £ 80 per year.

Initially, Waibel was replaced by Brazilian Dario Seixas, who played bass on the band's 2003 critically acclaimed album Prime Time, but Seixas left the band shortly after, so the band announced that they were in need of a bass player.

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 named Government Engineering College ( GEC ) Kottayam, the college was renamed in honour of Rajiv Gandhi, the former Indian Prime Minister, who had been assassinated four months before the college's establishment.

Initially, Jean-Claude Duvalier resisted the dynastic arrangement that had made him Haiti's leader, having preferred that the presidency go to his older sister Marie-Denise Duvalier, and was content to leave substantive and administrative matters in the hands of his mother, Simone Ovide Duvalier, and a committee led by Luckner Cambronne, his father's Interior Minister, while he attended ceremonial functions and lived as a playboy.

Initially, Fianna Fáil's Brian Lenihan had been favourite to win, however after a number of controversies arising from the brief Fianna Fáil administration of 1981 – 82, and Lenihan's dismissal as Minister for Defence mid-way through the campaign, the Labour Party's Mary Robinson emerged victorious.

Initially, the Navy Minister, Mitsumasa Yonai, hoped that Toyoda would be able to exert a moderating influence over Army Chief of Staff Yoshijirō Umezu ( since both came from the same district of Japan ).

Initially, he considered Hore-Belisha for the post of Minister of Information, but decided against this when the Foreign Office raised concerns about the propaganda effect of having a Jewish politician in this position.

Initially, then Minister of Defense Pinhas Lavon refused to release Zichroni, though he was eventually discharged from the army reserves.

Initially he was successful and earned the nickname Iron Hans or Iron Minister because of his ability to exercise strict budget discipline.

Initially, imported oil was taxed much more than British-produced coal, but in 1934 Oliver Stanley, the Minister for Transport, reduced taxes on fuel oils while raising the Road Fund charge on road locomotives to £ 100 per year, provoking protests by engine manufacturers, hauliers, showmen and the coal industry.

Initially, Monti was also Minister of Economy and Finance.

Initially, Alphonse had an influential supporter for his position through his long friendship with statesman Léon Say, a former employee of the Rothschild's Northern Railway Company who became the Minister of Finance in 1872.

Initially Awadhesh Pratap Singh became the Chief Minister of the Baghelkhand Division and Kamta Prasad Saxena became the Chief Minister of the Bundelkhand Division but soon Awadhesh Pratap Singh became the Chief Minister of the whole state.

Initially, German Finance Minister Peer Steinbrück rejected any possibility of expanding the agreement, but subsequently German government spokesman Thomas Steg said that Germany was willing to discuss the possibility of making extra pension payments to Holocaust survivors if the Israeli government makes an official request.

Initially conceived by the Prussian Finance Minister Hans, Count von Bülow, as a Prussian customs union in 1818, the Zollverein linked the many Prussian and Hohenzollern territories.

Initially, his two main roles were Minister of Revenue and Minister of Customs.

Initially the post was called " Minister of War Production " when it was created in February 1942, but the first Minister, Lord Beaverbrook, resigned after only two weeks in office.