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, this was caused by the revulsion over the summary executions of 16 leaders — some of whom, such as James Connolly, who was too weak to stand from wounds sustained in the fighting — and of other people thought complicit in the rebellion.

Initially the Polish intelligentsia was targeted by harsh German racial and cultural policies and hundreds of people from the area, most notably priests, teachers and artists, were murdered in mass executions.

Initially widely condemned in view of the heavy Irish war losses on the Western Front and in the disastrous Gallipoli V beach landing at Cape Helles ( the main nationalist newspaper, the Irish Independent, demanded the execution of the rebels ), the British government's mishandling of the aftermath of the Rising, including the protracted executions of the Rising's leaders by General Maxwell, led to the rise of an Irish republican movement in Sinn Féin, a small previously separatist monarchist party taken over by the rebellion's survivors, after it had been wrongly blamed for the rebellion by the British.

Initially he experimented with individual cells in series, each cell being a wine goblet filled with brine into which the two dissimilar electrodes were dipped.

Initially an innovation to aid the recovery of downed pilots, they were sidelined when the front became static.

Initially, balls of wool referred as ball badminton were preferred by the upper classes in windy or wet conditions, but ultimately the shuttlecock stuck.

Initially, there were 25 franchises, but the number of different operating companies is smaller as some firms, including First Group, National Express Group and Stagecoach Group, run more than one franchise.

Initially grateful, Jonah's anger returns the next day, when God sends a worm to eat the plant, withering it, and he tells God that it would be better if he were dead.

Initially, the Cossacks were commanded by Colonel Filon Dzhalalii, but after a few days he was replaced by Ivan Bohun.

Initially, some problems were experienced when it was commanded to track the Sun, but a series of software fixes were made and the problem was corrected.

Initially, it was suspected that the killings were committed by a Satanic cult ; later more killings were reported around the island, and many farms reported loss of animal life.

Initially Barringer's ideas were not widely accepted, and even when the origin of Meteor Crater was finally acknowledged, the wider implications for impact cratering as a significant geological process on Earth were not.

Initially in the production, the ethnic groups were not solidly established.

Initially, on 1 July 1867, there were four provinces in confederation as " One dominion under the name of Canada ": Canada West ( former Upper Canada, now Ontario ), Canada East ( former Lower Canada, now Quebec ), Nova Scotia, and New Brunswick.

Initially however, these groups were small and conducted little active raiding into Nicaragua.

Initially these were uncommon events, but since WWII, these have been made by most presidents.

Initially, the idea of having Ball and the distinctly Latino Arnaz portray a married couple encountered resistance as they were told that Desi's Cuban accent and Latin style would not be agreeable to American viewers.

Initially the owners of AOI were the governments of Egypt, Saudi Arabia, and the United Arab Emirates, before the latter governments gave their shares back to Egypt in 1993, valued at $ 1. 8 billion.

Initially, it was believed that low frequency fields that were too weak to cause significant heating could not possibly have any biological effect.

Initially, Brick and Click companies were skeptical whether or not to add an online e-commerce channel for fear that selling their products might produce channel conflict with their off-line retailers, agents, or their own stores.

Initially, most known exoplanets were massive planets that orbited very close to their parent stars.

Initially registers were limited to an accumulator and a multiplier register.

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 victims ' corpses were buried in mass graves, but later were cremated.