Although the butterfly effect may appear to be an esoteric and unlikely behavior, it is exhibited by very simple systems: for example, a ball placed at the crest of a hill may roll into any of several valleys depending on, among other things, slight differences in initial position.

" Although not expressed as strongly, Glyn Jones believed that he and Thomas ' friendship cooled in the later years as he had not ' rejected enough ' of the elements that Thomas disliked – " Welsh nationalism and a sort of hill farm morality ".

Although recent studies suggest that the Quirinal hill was very important in ancient times, the first hill to be inhabited seems to have been the Palatine ( therefore confirming the legend ), which is also at the center of ancient Rome.

Although Roberts drove the Boers from the hill, the Boer commander, Louis Botha, did not regard it as a defeat, for he inflicted more casualties on the British ( totalling 162 men ) while suffering around 50 casualties.

It is related to the uncertainty principle: Although the ball seems to be on one side of the hill, its position is uncertain so there is a chance of finding it on the other side.

Although isolated and definitely northern, it was an attractive base for its pleasing North Woods location and its proximity to outdoor activities off the base, including hunting, fishing, boating, and winter sports including skiing at Marquette Mountain recreational area, as well as the venues on site ( base lake, ski hill, and others ).

Although Sharples states that developed hill forts such as Maiden Castle are not towns and cannot be considered truly urban because they are so closely related to agriculture and storage, Cunliffe and fellow-archaeologists Mark Corney and Andrew Payne describe developed hill forts as " town-like settlements ", a form of proto-urbanism.

Although this is a city view from the eastern, Wakenitz side of the old inner city hill, the artist has folded out essential parts of the gate ’ s west side, so that they too become visible.

Although the part of town now called Buer was first mentioned by Heribert I in a document as Puira in 1003, there were hunting people on a hill north of the Emscher as early as the Bronze Age – and therefore earlier than 1000 BC.

Although his parents were opposed to the idea, Clark started his racing in local road rally and hill climb events driving his own Sunbeam-Talbot, and proved a fearsome competitor right from the start.

Although Old Oswestry was one of the most strongly defended hill forts in Britain there is no evidence that the Roman Legions ever tried to besiege it.

Although more advanced algorithms such as simulated annealing or tabu search may give better results, in some situations hill climbing works just as well.

Although the large ranch already had a Victorian mansion, the location selected for Hearst Castle was undeveloped, atop a steep hill whose ascent was a dirt path accessible only by foot or on horseback over five miles ( 8 km ) of cutbacks.

Although relatively short, the tunnel was regarded as a major engineering achievement as it was cut " through the same treacherous material, through the hill on which the Crystal Palace stands, and immediately under one of the great water towers, a superincumbent weight of 2, 200 tons which taxed in its execution all the skill and workmanship of the eminent contractors.

Although the hill currently referred to as Mount Zion is indeed south of the traditional site for Golgotha, it has only had that name since the Middle Ages, and previously ' Mount Zion ' referred to the Temple Mount itself.

Although no contemporary sources report this, it has since been speculated that Henry spent much of his time during these three days in the village at the foot of the hill.

Although most of the 865, 000 Khasi speakers are found in Meghalaya state, the language is also spoken by a number of people in the hill districts of Assam bordering with Meghalaya and by a sizable population of people living in Bangladesh, close to the Indian border.

Behind the decision to replace rock with concrete were maintenance issues ; with the coming of the 1960s, UM students exhibited waning enthusiasm for the annual trek up the hill and for annual upkeep of the " M ." Although the annual whitewashing went by the wayside, one tradition that lives on today is the lighting of the " M " during the University's annual Homecoming celebration each fall.

Although before he left, he sought out the anjitsu and old priest on the top of the hill to see if he had been mistaken.

Although the second-tallest hill ( the tallest being Monte Mario ) in the contemporary city of Rome, the Janiculum does not figure among the proverbial Seven Hills of Rome, being west of the Tiber and outside the boundaries of the ancient city.

Although the rally ended with Finland's Carl-Otto Bremer leading home a Saab triple win, the best Finn had been only tenth after the opening Harju hill stage.

Although the residence fell down in 1897, the hill where is was located is still called Castle Hill.

Although it was dark as usual I could see that the hall had only recently contained a great many people.

Although New Orleans was not to learn of it for a spell, she also was a sadist, a nymphomaniac and unobtrusively mad -- the perpetrator of some of the worst crimes against humanity ever committed on American soil.

Although Faulkner was the heir in his own family to this tradition, he did not have Stark Young's inclination to romanticize and sentimentalize the planter society.

Although his tender nights were not the ones I dreamed of, nor was it for yachts, sports cars, tall drinks, and swimming pools, nor yet for money or what money buys that I burned, I too was burning and watching myself burn.

Although after much trouble he did manage to get it back, he discovered there was no trade to be had.

Although he did not attend any celebrated schools or universities, he was a master of Greek and Hebrew and could read the Bible in the original.

Although the fort was evacuated in the face of the force of Cornwallis, Morgan and his men did have a chance to take another swing at the redcoats.

Although because of the important achievements of nineteenth century scholars in the field of textual criticism the advance is not so striking as it was in the case of archaeology and place-names, the editorial principles laid down by Stevenson in his great edition of Asser and in his Crawford Charters were a distinct improvement upon those of his predecessors and remain unimproved upon today.

Although Mr. Brown was not himself its inventor ( it was a French idea ), it is typical that his intuition first conceived the importance of mass producing this basic tool for general use.

Although it was a mere fragment of the victim's remains, it was enough.

Although there were only four fluids tested, it was apparent that there were two distinct types.

Although the tape was run for over 1 hr., a steady state was not reached, and it was concluded that the reason for this was that the back pressure of the manometer was built up from the material fed from between the blocks and this was available at a very slow rate.

-- Although there was some variation in results which must be attributed either to trace impurities or to variation in wall effects, the photochemical exchange in the gas phase was sufficiently reproducible so that it seemed meaningful to compare the reaction rates in different series of reaction tubes for the purpose of obtaining information on the effect of chlorine concentration and of carbon tetrachloride concentration on the reaction rate.

Although the Taylor Scale was designed as a group testing device, in this study it was individually administered by psychologically trained workers who established rapport and assisted the children in reading the items.

Additionally, during the opening scene of the season nine finale, Clark finds a gift from his mother containing his Superman suit ( Although the suit is subsequently taken by Jor-El until Clark is ready for it ).

Although the U. S. Air Force sent fighters such as the F-16 to theater in Desert Shield, they had to carry bombs with them as no stores were in place for sustained operations whereas the carriers arrived on scene with full magazines and had support ships to allow them to conduct strikes indefinitely.

Although Mori is actually a private investigator with his own agency, the police never intentionally consult him as he stumbles from one crime scene to another.

In July 2007, new forensic evidence was presented in the case and a status report jointly issued by the State and the Defense team stated, " Although most of the genetic material recovered from the scene was attributable to the victims of the offenses, some of it cannot be attributed to either the victims or the defendants.

Although some European film-makers picked up the trend towards using dialogue titles, they did not pick up on the move towards cutting them into the scene at the point at which they were actually spoken until a few years later.

Although he was not successful, he was able to extend his involvement in the paramilitary scene in Munich.

Although San Francisco was the centre of American psychedelic music scene, many other American cities contributed significantly to the new genre.

Although Tricky stayed on in a lesser role, and Hooper again produced, the fertile dance music scene of the early ' 90s had informed the record, and it was seen as an even more significant shift away from the Wild Bunch era.

Although Reagan was initially a small-time B-film actor, Warner Bros. was impressed by his performance in the final scene of Knute Rockne, All American, and agreed to pair him with Errol Flynn in their film Santa Fe Trail ( 1940 ).

Although he had begun DJing some years before, it was at this time that he began to develop his skills on the thriving Brighton club scene, known as DJ Quentox, laying the base for Brighton's hip hop scene.

Although he frequently revisits the scene and time of the accident throughout his life, he can never alter the outcome as to do so would remove his desire to be there.

Although no formal script had been completed or leaked, Leone came up with the opening scene and basic plot.

Although William Shakespeare and Ben Jonson were actors, the majority do not seem to have been performers, and no major author who came on to the scene after 1600 is known to have supplemented his income by acting.

Although the name Avar first appeared in the mid-fifth century, the Avars of Europe enter the historical scene in the mid-sixth century AD.

On the way, just outside the monastery of Mont Saint-Michel, the army become mired in quicksand and Harold saves two Norman soldiers .< sup >( scene 17 )</ sup > William's army chases Conan from Dol de Bretagne to Rennes, and Conan finally surrenders at Dinan .< sup >( scene 20 )</ sup > William gives Harold arms and armour ( possibly knighting him ) and Harold takes an oath on saintly relics .< sup >( scene 23 )</ sup > Although the writing on the tapestry explicitly states an oath is taken there is no clue as to what is being promised.

Although Bulloch wore Fett's costume in The Empire Strikes Back and Return of the Jedi, John Fass Morton filled in for Bulloch during one scene in The Empire Strikes Back and Jason Wingreen voiced the character in that film.

Although many artists that have dominated the hip hop scene in France are of African descent, themes dealing with the intimate connection between France and various African countries tend not to get much promotion on mainstream radio and even less consideration in scholarly research on the subject.

Although Paramount executives were concerned that Spock's death would set fans against the movie, the audience actually applauded after Spock's death scene.

Although the scene featuring the three was short, it was one of the most highly anticipated scenes in the film.

Although larger operators made use of commercial copying services, anybody who had access to copying equipment ( such as the portable tape to tape cassette players that first became common around the early 1980s ) could release a tape, and publicize it in the network of fanzines and newsletters that existed around this scene.

Although she appears as one of the series ' major villains, she is frequently a source of comic relief: In Magica's final scene in the series for example, she attempts to send Scrooge's " tin man back to OZ ", but is herself sent elsewhere in a whirlwind when a Quackenyeeken Yeeker bird yeeks in fear, causing her jar of magic dust to break open and carry her away.

Although its appearance in Duck Soup is the best known instance, the concept of the mirror scene did not originate in this film.