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 the RTL description in VHDL or Verilog is simulated by creating test benches to simulate the system and observe results.

Initially, Torvalds wanted to call the kernel he developed Freax ( a combination of " free ", " freak ", and the letter X to indicate that it is a Unix-like system ), but his friend Ari Lemmke, who administered the FTP server where the kernel was first hosted for downloading, named Torvalds ' directory linux.

Initially it is impossible to find any mention of specific bugs on Microsoft's website, but later he notices that Microsoft has instated a system similar to the Debian one, though sugar-coated so as to not ruin the vision demanded by its customers.

Initially, the ( AES ) home system was only available for rent to commercial establishments, such as hotel chains, bars and restaurants, and other venues.

Initially, the system of atoms is at thermal equilibrium, and the majority of the atoms will be in the ground state, i. e., N < sub > 1 </ sub > ≈ N, N < sub > 2 </ sub > ≈ N < sub > 3 </ sub > ≈ 0.

Initially published in 1987 at USENIX, the BRL-CAD ray-tracer is the first known implementation of a parallel network distributed ray-tracing system that achieved several frames per second in rendering performance.

Initially its value was fixed, so that 1 SDR = 1 US dollar, but this was abandoned in favor of a currency basket after the 1973 collapse of the Bretton Woods system of fixed exchange rates.

Initially, the three-age system as it was developed by Thomsen and his contemporaries in Scandinavia, such as Sven Nilsson and J. J. A.

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, in the days of the SS-50 and SS-50C, bus systems such as SWTPC, Gimix, and Smoke Signal Broadcasting, OS-9 was used more as a general purpose microcomputer operating system, and had a large, active hobbyist user population, and industrial and embedded system users.

Initially, the new staff system appeared more ambitious on paper than in practice ; the increase in the size of the staff was quite modest at the start.

Initially installed in 17 U. S. theaters, the Sensurround system used large subwoofers which were driven by racks of 500 watt amplifiers which were triggered by control tones printed on one of the audio tracks on the film.

Initially, Habyarimana abolished the quota system, winning him favour among Tutsi.

Initially, the National Register consisted of the National Historic Landmarks designated before the Register's creation, as well as any other historic sites in the National Park system.

Initially an interconnected fluid system was planned, similar to the one that Alec Issigonis and Alex Moulton were working on in the mid-1950s at Alvis.

Initially, in that system, the Moon had been seen to be the eye of Horus, the sky god, which had been semi-blinded ( thus darker ) in a fight against Set, the other eye being the Sun.

Initially it was intended that the Exemplar would be binary-compatible with HP's HP-UX operating system but eventually it was decided to port HP-UX to the platform and sell the platform as standalone servers.

Initially, Venevisión broadcast live because they hadn't yet installed the videotape system.

Initially trains had to be ferried across the river between Marquette and Prairie du Chien, Wisconsin, in order to continue their journey, but this system came to an end when Prairie du Chien businessman John Lawler had a permanent pontoon bridge built to connect the two cities ' rail lines.

Initially, no system of authority existed in the colony ; there were no courts, jails or police.

Initially developed by Palm, Inc. in January 2009 as the Palm OS, webOS was purchased by HP to be their proprietary operating system running on the Linux kernel.

Initially the owners and some Long Island officials wanted the Motor Parkway integrated into the state parkway system, despite its narrow roadway and steep bridges not meeting new standards.

Initially, before any payments, the present value of the system is just the endowment principal ().

Initially, the royal prerogative in choosing his prime minister remained and contributed to governmental instability, until the introduction of the dedilomeni principle of parliamentary confidence in 1875 by the reformist Charilaos Trikoupis.

Initially under the political and economic alliance with the Phoenician cities, it was colonised and then conquered by Rome during the First Punic War ( 238 BC ) but strong Punic cultural influences remained until the 1st century AD.

Initially, some Hmong groups staged attacks against Pathet Lao and Vietnamese troops while others remained in hiding to avoid military retaliation and persecution.

Initially, two additional levels of representation were introduced ( LF — Logical Form, and PF — Phonetic Form ), and then in the 1990s Chomsky sketched out a new program of research known as Minimalism, in which Deep Structure and Surface Structure no longer featured and PF and LF remained as the only levels of representation.

Initially, CB channels 1 through 3 remained allocated to amateur radio and channel 23 was used by paging services.

Initially, prosperity was reduced due to the fact that the city remained only the capital of a powiat, while the capital of the voivodship was moved to Białystok.

Initially the Parliament met in Belfast's City Hall but moved immediately to the Presbyterian Church's Assembly's College ( later Union Theological College ), where it remained during the period 1921-32.

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 the RNZAF remained a tenant on the land, however all remaining units based there have now relocated to other defence sites.

Initially treated as a robbery, the case remained unsolved until a group of Hope students produced a documentary that uncovered a sex and drugs party atmosphere at the hotel, which had been occupied by dozens of Wackenhut security guards ( assigned to protect the facilities of local manufacturer Chemtron during a bitter strike ).

Initially, Stewart remained loyal to Rutherford, and went so far as to allege in the legislature that insurgent Liberal John R. Boyle had offered two members of the legislative assembly ( MLAs ), who were also hotel keepers, immunity from prosecution for liquor violations if they would support a new government in which Boyle was Attorney-General.

Initially, he remained Liberal leader and appointed an ally, Gordon Daniel Conant as Premier of the province while Hepburn remained Provincial Treasurer leading many to think that Conant was Premier in name only.

Initially, Sky Channel's programming remained much the same ( children's programmes, soaps, music programmes, and old US sitcoms and action series ), except for a number of new game shows and a few international travel documentaries.

Initially, he remained the party's leader in the meantime — however, as he was also standing as a candidate in the leadership process, he eventually stepped down and Erik Nielsen was installed as the party's interim leader.

Initially he remained a backbencher in the Legislative Assembly for the Labour Front ( the largest party in the assembly at the time ), but he left the party in 1957 and founded the Worker's Party of Singapore.

Initially based in Frankfurt, the SAG gradually developed a national structure but remained a relatively small organization.

Initially, as none of the old municipal office buildings was large enough to accommodate the expanded municipal staff of a single city, all three remained in use to house different city departments.

Initially Lentulus remained in Rome but left, with many senators, ahead of Caesar's advancing forces < ref > Cicero, < i > ad Fam .</ i > xvi. 11 ; < i > ad Att .</ i > vii. 12, 15, 21.

Initially, members of the audience reacted with caution and modesty, but as time passed ( and the artist remained impassive ) people began to act more aggressively.

Initially, the new format was not carried over to WBZ's weekend schedule ; while a weekend morning news block was launched, the weekend afternoon schedule remained devoted to specialty talk shows until September 3, 1994, when the station introduced information-oriented sports shows, branded as WBZ Sports Saturday and WBZ Sports Sunday.

Initially, the depression possessed a combination of tropical and subtropical characteristics ; it remained attached to a nearby frontal zone, though the organization of the convection and a warm core within the system resulted in classification as a tropical cyclone.

Initially this was quite shallow with only one section moveable but in 1934 this was replaced by a deeper ventilator with two wide sliding sections which remained almost until the end.

Initially the larger table hills ( Lilienstein ), or those already deeply fissured like Zirkelstein, Kaiserkrone or already forested ( Kohlbornstein ), remained, but these too broke up later as a result of erosive destruction into long ridges ( Schrammsteine ) or even into individual rock pinnacles ( Torwächter ).