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, 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 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, the President was merely a symbolic figure with the Reichstag dominant ; however, persistent political instability, in which governments often lasted only a few months, led to a change in the power structure of the republic, with the president's emergency powers called increasingly into use to prop up governments challenged by critical or even hostile Reichstag votes.

Initially Bryce resists helping track down the attacker, seeing it as harmless experimentation, even though an innocent man is framed for the crime ( which is punishable by death ).

Initially, this view was adopted even by the early comparative linguists such as Franz Bopp.

Initially, western ballistic missiles could not even reach such targets, which would be located deep within interior of the Sino-Soviet land mass in Asia.

Initially, many of William's soldiers thought that he had been killed, and an even greater rout ensued.

Initially verbal struggles among activist groups became even more violent, especially when activists began to seize weapons from the Army in 1967.

Initially, they developed and introduced the No. 8 box of eight assorted colors ( this famous box is usually depicted on most historical material associated with Crayola ; it was even featured on a postage stamp ) in early 1905 using the side of the medal depicting an Eagle but quickly changed to the other side showing the 1904 date their medal was won.

Initially, people thought this gas to be lethal, even in small doses.

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, Mobutu's government was decidedly apolitical, even anti-political.

Initially when the song was a hit, the town received unwanted publicity as many tourists and daytrippers drove through the town, took pictures, and even rolled their windows down to ask locals questions.

Initially disliked by many Elevators fans, it has found a substantial fan-base today, with some even rating it the band's best LP.

Initially, neither Lenin nor his ideas had widespread support, even among Bolsheviks.

Initially, even the publisher was fooled by the book, but he was let in on the joke before going to press.

Initially Celler had a difficult time acquiring the signatures necessary, as even many congressmen who supported the civil rights bill itself were cautious about violating House procedure with the discharge petition.

Initially only fibrous solids cause difficulty but later the problem can extend to all solids and later even to liquids.

Initially, Tibbets was unfamiliar with even the concept of an atomic bomb, and was quoted in a 1946 article in The New Yorker saying, " I will go only so far as to say that I knew what an atom was.

Initially the new conditionality led to an even greater emphasis on “ civil society ” as a panacea, replacing the state's service provision and social care, Hulme and Edwards suggested that it was now seen as “ the magic bullet .”

Initially, she was reluctant to do so, but at Thomas's convincing persuasion, she agreed and the success of her Point-of-sales business made her an even wealthier woman.

Initially, the city was under Spanish influence, as Spain and Portugal were united in the Iberian Union ( 1580 – 1640 ), and in 1588 the city was even renamed Filipéia de Nossa Senhora das Neves after Philip II of Spain.

Initially known as " Mysterious Yokum " ( there was even an Ideal doll marketed under this name ) due to a debate regarding his gender ( he was stuck in a pants-shaped stovepipe for the first six weeks ), he was renamed " Honest Abe " ( after President Abraham Lincoln ) to thwart his early tendency to steal.

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

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, 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 the company manufactured machine tools, sewing machine parts, gauges and other precision parts, but this changed in 1956 when the company proposed the G3 automatic rifle for the Bundeswehr ( German Federal Army ).

Initially Calvin refused because Farel was not included in the invitation, but relented when Bucer appealed to him.

Initially, Perrin ignored the court when he was summoned, but after receiving a letter from Calvin, he acquiesced and appeared quietly before the Consistory.

Initially, some users of the Kazaa network were users of the Morpheus client program, formerly made available by MusicCity, but once the official Kazaa client became more widespread, Kazaa developers used its automatic update ability to shut out Morpheus clients by changing the protocol in February 2002, when Morpheus developers failed to pay license fees.

Initially he used the name Tadashi Ishihara before changing it when he secured the lead role in Rodan ( 1956 ).

Initially these protests were quelled with force by local police, but when the body of a student was found floating in the harbor of Masan, the whole nation was enraged and protests spread nationwide.

Initially their method was to cruise the coast, conducting quick kidnapping raids when opportunities presented themselves.

Initially when the production staff was talking about who was going to take the composing duties, Chris Carter did not know whom to ask.

Initially extending the offer only to Buckingham, Fleetwood later included Nicks in the offer when Buckingham insisted that he and Nicks were " a package deal ".

Initially named CATI ( Conception Assistée Tridimensionnelle Interactive — French for Interactive Aided Three-dimensional Design ) — it was renamed CATIA in 1981, when Dassault created a subsidiary to develop and sell the software, and signed a non-exclusive distribution agreement with IBM.

Initially the name " Joan Arden " was selected but, when another actress was found to have prior claim to that name, the alternate name " Crawford " became the choice.

Initially, the Zytglogge tower marked the western boundary of the city from 1191 until 1256, when the Käfigturm took over this role until 1345, which, in turn, was then succeeded by the Christoffelturm ( located close to today's train station ) until 1622.

Initially, when Bhutan was opened up for Tourism in 1974, the Government-owned Tourism Corporation was set up in Thimphu to encourage and organise individual and group tours to destinations of cultural importance in Bhutan, concentrating on Buddhism, weaving, birds, nature and trekking, and any special package.

Initially, Curie was taken by her mother to Brittany, but a year later when she turned 18 she was re-united with her mother, running the 20 mobile field hospitals that Marie had established.

Initially the Derby was run on a Thursday in late May or early June depending on when Easter occurred.

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, its expense restricted it to wealthy consumers, but the price gradually dropped, until the 19th century, when tea became as widely consumed as it is today.

Initially, the network ran a mix of college and less watched professional sports similar to ESPN, when they began.