Our plan is to keep abreast of these advances, and select for development those fields which seem most promising for our special capabilities.

This list could be expanded to include most fields of mathematics, including measure theory, ergodic theory, probability, representation theory, and differential geometry.

While owning steel works, Carnegie had purchased at low cost the most valuable of the iron ore fields around Lake Superior.

Among his major accomplishments were the 1940 proof, of the Riemann hypothesis for zeta-functions of curves over finite fields, and his subsequent laying of proper foundations for algebraic geometry to support that result ( from 1942 to 1946, most intensively ).

It is, however, in algebraic geometry and related fields where Grothendieck did his most important and influential work.

Analytic geometry is widely used in physics and engineering, and is the foundation of most modern fields of geometry, including algebraic, differential, discrete, and computational geometry.

It is now in its 27th year and is most notable for its marquee on the silver sands playing fields.

The Burgess Shale Formation, located in the Canadian Rockies of British Columbia, is one of the world's most celebrated fossil fields, and the best of its kind.

Regulatory issues are of particular concern to a biomedical engineer ; it is among the most heavily-regulated fields of engineering, and practicing biomedical engineers must routinely consult and cooperate with regulatory law attorneys and other experts.

Though celebrities come from many different working fields, most celebrities are typically associated with individuals that come from the fields of sports and entertainment or a person who is a public figure in that is commonly recognizable in mass media.

In this period also started the penetration of Western culture, but most Chinese thought that the Westerners were maybe more advanced in technology and warfare, but that China had primacy in moral and intellectual fields.

Sometimes referred to as the Princeps mathematicorum ( Latin, " the Prince of Mathematicians " or " the foremost of mathematicians ") and " greatest mathematician since antiquity ", Gauss had a remarkable influence in many fields of mathematics and science and is ranked as one of history's most influential mathematicians.

In most fields its use has been replaced by the SI unit of energy, the joule.

The continued usage of CGS units is most prevalent in magnetism and related fields, as the primary MKS unit, the tesla, is inconvenienently large, leading to the continued common use of the gauss, the CGS equivalent.

The contributors often came from other countries and included the world's most respected authorities in their fields.

Some first-order theories are algorithmically decidable ; examples of this include Presburger arithmetic, real closed fields and static type systems of ( most ) programming languages.

Eugene enhanced his standing during the War of the Spanish Succession where his partnership with the Duke of Marlborough secured victories against the French on the fields of Blenheim ( 1704 ), Oudenarde ( 1708 ), and Malplaquet ( 1709 ); he gained further success in the war as Imperial commander in northern Italy, most notably at the Battle of Turin ( 1706 ).

Exacerbating this is the fact that most of the trees are generally removed from agricultural fields, allowing winds to have long, open runs to travel over at higher speeds.

The most commonly used fields are the field of real numbers, the field of complex numbers, and the field of rational numbers, but there are also finite fields, fields of functions, various algebraic number fields, p-adic fields, and so forth.

The most important difference is that fields allow for division ( though not division by zero ), while a ring need not possess multiplicative inverses ; for example the integers form a ring, but 2x = 1 has no solution in integers.

Gen. Ulysses S. Grant an excuse to take control of the even more important and strategically located town of Paducah, Kentucky without raising the ire of most Kentuckians and the pro-Union majority in the State legislature.

By the early 1960s, most of East and Central Africa, where the majority of the Ismāʿīlī population on the continent resided including Tanganyika, Kenya, Uganda, Malagasy, Rwanda, Burundi and Zaire, had attained their political independence.

Once the game ends, the minority and majority bonuses are paid to the minority and majority holders in each of the remaining chains ; each player sells his or her shares of stock in each of the remaining chains ; and the player with the most money wins.

Artillery is the most lethal form of land-based armament ; in the Napoleonic Wars, World War I and World War II the vast majority of combat deaths were caused by artillery.

Unlike most Common-law jurisdictions, the majority of civil law jurisdictions have specialized courts or sections to deal with administrative cases which, as a rule, will apply procedural rules specifically designed for such cases and different from that applied in private-law proceedings, such as contract or tort claims.

Being a monarchical state, with its roots invested in Colonial England, black letter law is that which is a term used to describe basic principles of law that are accepted by the majority of judges in most provinces and territories.

It provides investment products and services and attracts the majority of the corporate business deals in The Bahamas, most recently acting as financial advisor and placement agent for the largest Initial Public Offering ( IPO ) ever in The Bahamas with the IPO of Commonwealth Brewery, a Heineken subsidiary.

Unlike the communist parties in most other East European states, the BCP ( changing its name to Bulgarian Socialist Party ) retained majority power after the transition in Bulgaria by winning the first free national elections in June 1990.

Some believed that Hague had been unlucky, although most considered him to be a talented orator and an intelligent statesman, he had come up against the charismatic Tony Blair in the pomp of his political career, and it was no surprise that little progress was made in reducing Labour's majority after a relatively smooth parliament.

The majority of Tallard's retreating troops headed for Höchstädt but most did not make the safety of the town, plunging instead into the Danube where upwards of 3, 000 French horsemen drowned ; others were cut down by the pursuing cavalry.

The majority of modern scholars accept one of these two dates, with most accepting the Domitianic one.

Although he presided over a large majority, Sir Henry Campbell-Bannerman was overshadowed by his ministers, most notably Herbert Henry Asquith at the Exchequer, Edward Grey at the Foreign Office, Richard Burdon Haldane at the War Office and David Lloyd George at the Board of Trade.

The cost was high, however, as the government was required by the king to call two general elections in 1910 to validate its position and ended up frittering away most of its large majority, being left once again dependent on the Irish Nationalists.

While early German tanks, Stuka dive-bombers and concentrated forces were used in the Polish campaign, the majority of the battle was conventional infantry and artillery based warfare and most Luftwaffe action was independent of the ground campaign.

Soon, however, the terminology changed to " Bolsheviks " and " Mensheviks ", from the Russian " bolshinstvo " ( majority ) and " menshinstvo " ( minority ), based on the fact that Lenin believed that most of the party stood behind him.

The Kosovo declaration of independence is supported by the majority of EU member states, but disputed by Serbia, which continues to regard Kosovo as its own territory, and most other countries.

For the majority of games, there is no one set of universal rules by which the game is played, and the most common ruleset is no more or less than that.

This is perhaps one of the most practical ways to collect a national currency since probably the majority of coin reference books and coin albums catalogue in the same manner.

The border city of Vukovar underwent a three month siege – the Battle of Vukovar — during which most of the city was destroyed and a majority of the population was forced to flee.

Unlike its predecessor games, CoC assumed that most investigators would not survive, alive or sane, and that the only safe way to deal with the vast majority of nasty things described in the rule books was to run away.

Its decisions are made by qualified majority voting in most areas, unanimity in others.

In most cases, the Council votes on issues by qualified majority voting, meaning that there must be a minimum of 255 votes out of 345 ( 73. 9 %) and a majority of member states ( sometimes a two – third majority ).