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 designed to run on AT & T Hobbit-based hardware, BeOS was later modified to run on PowerPC-based processors: first Be's own systems, later Apple Inc .' s PowerPC Reference Platform and Common Hardware Reference Platform, with the hope that Apple would purchase or license BeOS as a replacement for its then aging Mac OS.

Initially, Stalin directed systems in the Eastern Bloc countries that rejected Western institutional characteristics of market economies, democratic governance ( dubbed " bourgeois democracy " in Soviet parlance ) and the rule of law subduing discretional intervention by the state.

Initially, a number of nationwide systems were set up, such as Interlink, which were limited to participating correspondent banking relationships, not being linked to each other.

Initially, the program focused on large scale systems designed to defeat a Soviet offensive strike.

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, 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 available for broadcast to stationary TV receivers, by 2004 popular mobile direct broadcast applications made their appearance with the arrival of two satellite radio systems in the United States: Sirius and XM Satellite Radio Holdings.

Initially, some of these systems were used as notification systems for services like printing, but quickly were used to facilitate communication with other users logged in to the same machine.

Initially, ten regional reliability councils were created by groups of interconnected power systems, which collectively covered the entire footprints of the major North American interconnections, and NERC was then formed as a more formalized successor to NAPSIC to spearhead reliability efforts and assist the regional councils by developing common operating policies and procedures as well as training resources and requirements.

Initially, Stalin directed systems that rejected Western institutional characteristics of market economies, democratic governance ( dubbed " bourgeois democracy " in Soviet parlance ) and the rule of law subduing discretional intervention by the state.

Initially these systems were unwieldy and development of IR systems continued.

Initially this was not important for large industrial / commercial systems and for home computers, and systems typically operated at full power consumption all the time, with cooling systems also designed to operate at maximum cooling capacity all the time.

Initially used by triathletes in order to facilitate faster " transitions ", Bernard Hinault's victory in Tour de France in 1985 then helped secure the acceptance of quick-release clipless pedal systems by cyclists.

Initially starting work in 1950 at Dow Chemical in Midland, Michigan, he rose to the position of Data Processing manager before leaving in 1960 to join General Electric, where he developed the Integrated Data Store ( IDS ), one of the first database management systems.

Initially, this technology was sought in order to optimize use of a computer system, since time and processing resources were often wasted when a single job waited for human interaction was developed as a feature of operating systems in the late 1950s and came into common use in mainframe computing in the mid-to late 1960s.

Initially, these systems were similar to cable cars and chairlifts designed for people, but fitted with specially designed carriers.

Initially, the aircraft was to feature many United States parts, including Garrett TFE-731 engine and several cockpit displays along with communication and avionics systems, but due to political developments and an embargo from the US at the end of the 1980s following the Tiananmen Square protests of 1989, other vendors had to be used.

Initially released on IBM mainframe systems using DOS / 360, OS / MFT or OS / MVT, ADABAS is now available on a range of other systems including OpenVMS, Unix ( including Linux and Linux on zSeries ), and Microsoft Windows servers.

Initially known appropriately as the Achteck ( Octagon ), on 15 September 1814 it was renamed Leipziger Platz after the site of Prussia's final decisive defeat of Napoleon Bonaparte at the Battle of Leipzig, 16 – 19 October 1813, which brought to an end the Wars of Liberation that had been going on since 1806.

Initially, the series was planned at thirty-nine episodes, with Yasuhiro Imagawa brought on board to direct.

Initially, Davidge was brought in as engineer, but soon became producer.

Initially, this brought huge tourist revenue to the township.

" Initially called Project Sign ( and redesignated Project Grudge in 1949 ), the UFO program brought T-2's successors their greatest public visibility.

Initially, her youthful beauty brought popularity but over time her sophistication and acting skills have made her one of France's most admired actresses.

Initially published from 1970 to 1973 by the magazine Pif gadget, it brought him much popular and critical success.

Initially Floyd Gottfredson besides doing the Mickey comic strip oversaw the Disney comic strip department from 1930 to 1945, then Frank Reilly was brought in to administer the burgeoning department from January 1946 to 1975.

Initially, the Fairy Tale Forest was home to some ten different fairy tales, all of them brought to life using original drawings by Anton Pieck alongside ingenious movements and lighting and sound effects designed by the Dutch film maker Peter Reijnders.

Initially, he was brought up by his grandparents ; his grandfather was a coal-face worker at the local colliery and his grandmother was a housewife.

Initially scored by Christophe Beck, John Debney was brought in to rescore the film ( incorporating Beck's thematic material ).

Initially it had a multi-denominational intake, offered such services as night classes and industry-relevant vocational courses, and was enthusiastically supported by William Brownlow who is thought to have brought the school to the town.

Initially Jonathan was only brought in to investigate because he was asked by Maddie due to her having a professional connection to the crime in her role as a journalist, or because it involved an old friend of theirs ( Such as one case featuring Jonathan being contacted by an old friend of his mother's after her husband was impaled by a sword in a sealed room ).

Initially taking his mother's name, he was brought up until the age of eight by his maternal grandparents in the coal mining town of Commentry in central France.

Initially, fox populations were located on the three northern islands, which were likely easier to access during the last ice age — when lowered sea levels united four of the northernmost islands into a single mega-island ( Santa Rosae ) and the distance between the islands and the mainland was reduced — it is likely that Native Americans brought the foxes to the southern islands of the archipelago, perhaps as pets or hunting dogs.

Initially, the influence of ranching interests brought tremendous progress to CAC's agricultural programs.

Initially sent by editor John Delane to Malta to cover British support for Russia in 1854, Russell despised the term " war correspondent "-though his coverage of the conflict brought him international renown, and Florence Nightingale later credited her entry into wartime nursing to his reports.

Initially V. 32 modems were very expensive, but Rockwell introduced modules and eventually chipsets that brought the prices down.

Initially Cocks switched to bass guitar to cover Rilen's departure, then Chris Turner ( ex-Buffalo ) was brought in.

Initially a side project of Santana's drummer Michael Shrieve, Automatic Man brought together well respected musicians of diverse backgrounds within the rock, funk and jazz communities of the mid-1970s.

Initially it was run in Spring and Autumn sessions in Tokyo, with the pros brought together to play around eight games in each session ( the name means simply " grand meeting ").

Initially brought in to fill Officer Vicky Taylor's shoes, by the end of the season she had progressed to patrolling with Jim Corrigan ( James Darren ), another veteran cop much in the mold of Hooker.

Initially, the facility was meant to serve as " central booking " for the US forces operating in Baghdad and central Iraq, though detainees from northern Iraq were brought there as well.

Initially, Governor Winslow did have a chance, while the fighting was still contained locally, to resolve the situation peacefully by diplomatic means, but did not take needed action and brought about a major conflagration that actually need not have happened.