All numbers which can be obtained from the integers using a finite number of integer additions, subtractions, multiplications, divisions, and taking nth roots ( where n is a positive integer ) are algebraic.

All including 82nd and 101st Airborne divisions of the United States.

All multiples and divisions of the decimal units are factors of the power of ten, an idea first proposed by the Flemish mathematician Simon Stevin in 1586.

All of the German divisions holding front zones were relieved and an extra division brought forward as the British advances had lengthened the front line.

All of Longstreet's divisions were forced to take a long detour while approaching the enemy position, misled by inadequate reconnaissance that failed to identify a completely concealed route.

All five combatant divisions, as well as the CAOF and CAPF were disbanded by the end of 1946.

All the historical wafer fab lines are now closed but the site hosts the headquarters of many divisions ( marketing, design, industrialization ) and an important R & D center, focused on silicon and software design and fab process development.

All the eight Republican Guard divisions were involved in fighting during the Gulf War and the " Tawakalna " Division was disbanded due to losses.

All the plans relied on his divisions each having previously organised a motorised rapid reaction unit ( Kampfgruppe ) which could move speedily to meet the threat and buy time for the rest of the defenses to get in place.

All three armies would soon be reinforced: the British Secretary of State for War and the Colonies, the Duke of Newcastle, promised Raglan that the 3rd, 62nd, and 90th Regiments, would be despatched to the Crimea with a third battery train ; Canrobert, meanwhile, was promised an additional three divisions of infantry from France.

All products fall under one of these three divisions.

All teams in the league ( and by extension, the divisions of the league ) are at the same competitive level and remain so year after year.

All three divisions are profitable nowadays, although it took the golf course several years to break even.

All football players in all divisions of college football are eligible for the award, though winners usually represent Division I Football Bowl Subdivision schools.

All four divisions lay within the hundred of Salford, an ancient division of the county of Lancashire.

All clubs in the three leagues play in the Challenge Cup with the clubs in the Premier Division given byes to the third round, where they join eleven teams from the lower divisions.

All of the French possessions share the prefix F. Further divisions that are used by amateur stations are:

All the standard ornaments of the time are thoroughly presented: appoggiatura, messa di voce, eight kinds of trills, passaggi ( divisions ), and portamento.

All five of the full army groups ( meaning a group of divisions similar in size to an army, not a group of armies ) were made up of volunteer recruits, which included the famous Pals ' Battalions.

All models also featured a revised " Astro Ventilation " system utilizing vents in the doorjams that replaced the troublesome 1971 version that used vents in the trunklid and turned out to be a major source of complaints to Chevy ( and other GM divisions ) dealers from customers.

All existing divisions were then assigned as appropriate.

All four divisions composed mostly of Indian Sepoys.

All divisions in the top four steps have 22 clubs each, except the Northern Premier League Division One North and Division One South which have 20 or 21 teams each, and Conference National, with 24 teams.

All of the leagues have a Premier Division of 22 teams ( Level 7 ) with two parallel divisions each of 22 teams split by region below ( Level 8 ).

All were carrying guns they had seized up, but they were half-clad or hardly clad at all.

All of her movements were careful and methodical, partaking of the stealth of a criminal who has plotted his felony for months in advance and knows exactly which step to take next in the course of the final execution of his crime.

All through Albany and Laramie counties, other men were doing the same.

All the doors were open at this hour except one, and it was toward this that Stevens made his way with Russ close at his shoulder.

All that time rifle barrels were pointing unwaveringly at his head and body.

All Captain Gibault took back to Salem were a few items for the town's East India Museum.

All areas of history were either favorably or adversely affected by the geographical environment, and no respectable historian could pursue the study of history without a thorough knowledge of geography.

He and other Soviet leaders responsible for the document were proud of having brought forward some new formulas, such as the early replacement of the dictatorship of the proletariat by an `` All People's State '', and also of having laid down the lines for a much greater `` democratization '' of the whole hierarchy of Soviets, starting with the Supreme Soviet itself.

All these emotions were screwed up to new heights when, after acceptance and the first rehearsals, there ensued such a buzz of excitement among Parisian music lovers that Duclos had to come running to Rousseau to inform him that the news had reached the superintendent of the King's amusements, and that he was now demanding that the work be offered first at the royal summer palace of Fontainebleau.

`` All dey know down dere is it were at Manassas Junction and it were a big fight '', the old man told them.

All of them were there in this loosely knit association of diversified ideologies, and each berated the other and beat his breast for his own approaches.

All of the jobs in the mission might be equal in the eyes of the Lord, but they were certainly not equal in the eyes of the Lord's servants.

All the women got up and offered their chairs, and when they were all seated again, the guests made their inquiries and their explanations.

All subsequent measurements were made on material which had been heated to 375-degrees-C for one hour.

All samplers were operated for a period of two hours except one, which was operated for four hours.

All samples were tested by both the saline and albumin methods.

All of the subjects in the Kohnstamm-negative and Kohnstamm-positive groups ( as defined for purposes of the personality studies ) were compared with those subjects who shifted in Conditions 3, or 4.

All applicants were generally familiar with the work of the receptionist.

All `` democratic and anti-Nazi parties '' were to have the right to campaign.

All responses, except comments, were numerically coded to permit use of data-processing equipment.

All the performances of the evening were smooth and assured, and the sizable company, with Mr. Nagrin and Marion Scott as its leading dancers, seemed to be fine shape.

All, of course, except the Donner party who were bent on starving to death.

All the women were beautiful, and the men were equal to them ; ;