Then, following the programme he outlined in his talk at the 1958 International Congress of Mathematicians, he introduced the theory of schemes, developing it in detail in his Éléments de géométrie algébrique ( EGA ) and providing the new more flexible and general foundations for algebraic geometry that has been adopted in the field since that time.

Then, following the battle, the Athenian army marched the 40 ( 25 miles ) or so kilometers back to Athens at a very high pace ( considering the quantity of armour, and the fatigue after the battle ), in order to head off the Persian force sailing around Cape Sounion.

Then after-depolarization this effect leads initially to bigeminy: regular ectopic beats following each ventricular contraction.

Indeed, following, suppose ƒ is a complex function defined in an open set Ω ⊂ C. Then, writing for every z ∈ Ω, one can also regard Ω as an open subset of R < sup > 2 </ sup >, and ƒ as a function of two real variables x and y, which maps Ω ⊂ R < sup > 2 </ sup > to C. We consider the Cauchy – Riemann equations at z = 0 assuming ƒ ( z ) = 0, just for notational simplicity – the proof is identical in general case.

Then, for any given sequence of integers a < sub > 1 </ sub >, a < sub > 2 </ sub >, …, a < sub > k </ sub >, there exists an integer x solving the following system of simultaneous congruences.

Then the following three connected theorems hold:

Then G is a group under composition, meaning that ∀ x ∈ A ∀ g ∈ G ( = ), because G satisfies the following four conditions:

Then the following month, on May 31st 1902, in a letter to William Blackwood, Conrad remarks:

Then the generation following them received it, thus conveying it to those after them and so on.

It is frequently stated in the following equivalent form: Suppose that is continuous and that u is a real number satisfying or Then for some c ∈ b, f ( c ) = u.

This melding of scientific and social speculation is clearly present in the novel Voyage from Yesteryear ( strongly influenced by Eric Frank Russell's famous story " And Then There Were None ") about a high-tech anarchist society in the Alpha Centauri system, a starship sent from Earth by a dictatorial government, and the events following their first contact.

Then the following formula is an axiom:

" Then following multiple protest from Jews in the new world and Holland and after his death they were even granted the right to pray, besides just trade.

Then the following are equivalent.

Then a subset is called a σ-algebra if it satisfies the following three properties:

Let U be a functor from D to C, and let X be an object of C. Then the following statements are equivalent:

Then in March of the same year, following the insurrection of the Paris Commune the French government under Thiers relocated to Versailles, from where the insurrection was militarily quelled.

Then the following dynamical system describes PLL behavior

Then the priest blesses kolyva ( boiled wheat with honey and raisins ) which is distributed to the faithful in commemoration of the following miracle worked by St. Theodore on the First Saturday of Great Lent: Fifty years after the death of St Theodore, the emperor Julian the Apostate ( 361-363 ), as a part of his general policy of persecution of Christians, commanded the governor of Constantinople during the first week of Great Lent to sprinkle all the food provisions in the marketplaces with the blood offered to pagan idols, knowing that the people would be hungry after the strict fasting of the first week.

Then, Cicero had the incriminating letters read before the Senate the following day, and shortly thereafter these five conspirators were condemned to death without a trial despite an eloquent protest by Julius Caesar.

Then, to construct the elements of following rows, add the number above and to the left with the number above and to the right to find the new value.

Then, each person decorates their page following the theme.

Then the following regression equation is postulated as a description of the process that generated the data:

Then write a review without using any of the following words: " Progressive rock ", " Genesis ", " Fish ", " heavy metal ", " dinosaurs ", " predictable ", " concept album ".

Then on September 22, 1862, George McClellan defeated Robert E. Lee at Antietam ; the second draft of the Emancipation Proclamation was issued to the public the following day.

Then there is Samuel Beckett, born in 1906, a writer with roots in the expressionist tradition of modernism, who produced works from the 1930s until the 1980s, including Molloy ( 1951 ), En attendant Godot ( 1953 ), Happy Days ( 1961 ), Rockaby ( 1981 ).

Then, during the 1930s he worked on a series of major translation projects, translating the works of Bahá ' u ' lláh into English.

They Had Faces Then, Annabella to Zorina, the Superstars, Stars and Starlets of the 1930s.

Burgh Island is closely linked to Agatha Christie, as it served as the inspirational setting for both And Then There Were None as well as the Hercule Poirot mystery Evil Under the Sun. The hotel and its eloquent Art Deco styling was also a bolt hole in the 1930s for the likes of London's rich and famous, including Noël Coward.

Then in the late 1920s and 1930s, Thorp experienced a remarkable economic boost despite the Great Depression that had descended upon the nation.

Then, having been in poor health since the 1930s, Kate died on November 21, 1944 at the age of 78, deeply in debt.

Then in the 1930s, the Sacred Heart Catholic Mission set up a settlement containing a primary school nearby.

In 1993, her book The Way We Wore: Styles of the 1930s and ' 40s and Our World Since Then was published by Fallbrook Publishing.

Then, in the 1930s Taylor ’ s signature was put into the design, which is how the shoe became known as the “ Chuck Taylor ” All Star.

Then in the 1930s he became a dance director on film productions.

Then – in the only paid employment he ever had – he took a job as a telegraph operator with the Great Northern Telegraph Company working first in Denmark and then in Newcastle-upon-Tyne, and was soon made a chief operator.

Then a non-nuclear event, The Great Smog of 1952 in London, killed at least 4000 people.

The actors were not told the end result of the Willow – Oz – Tara storyline, not sure what the eventual trajectory of the relationship would be, until Hannigan said, " Then finally it was, ' Great!

Then the Twelve Great Feasts, which commemorate various significant events in the lives of Jesus Christ and of the Theotokos ( Virgin Mary ).

Then, beginning on May 9, 1934, a strong, two-day dust storm removed massive amounts of Great Plains topsoil in one of the worst such storms of the Dust Bowl.

Then, sweeping down on the forces that the Carthaginians and their allies, the Numidians, are trying to muster on the Great Plains near the upper Bagradas River ( in modern Tunisia ), he smashes that army in the Battle of the Great Plains.

Then, taking up arms, he rode to the Great Palace, gathering the support of the citizenry who acclaimed him emperor.

Then, two centuries later in 330 BCE the Macedonian emperor Alexander the Great overthrew the Persians and took control of Mesopotamia itself, bringing Hellenic influence to the region with the Seleucid Empire.

* The Great Northern Empire — Then and Now

Then the Sex Pistols started on their own film, The Great Rock ' n ' Roll Swindle, and for a while, when Russ Meyer was due to direct, Willcox was going to take part in the movie.

Then, after preluding with a Life of Turner in the " Great Artists Series " ( 1879 ), he devoted himself almost exclusively to art criticism.

Then in the 7th century Khan Kubrat ruler of the Unogundurs established Old Great Bolgary there before his heir Batbayan surrendered it to the Khazars.

Then, four years later, she lost her hard-earned home, shop and possessions in the Great Chicago Fire.

Then he moved to Berlin, where he initially was welcomed by the princess Anna Amalia ( the sister of Frederick the Great ), but later fell into disgrace under still opaque circumstances.

F. Scott Fitzgerald's The Great Gatsby opens with a poem entitled " Then Wear the Gold Hat ," purportedly written by Thomas Parke D ' Invilliers.

Highlights include new plays by Cosh Omar: The Battle of Green Lanes and The Great Extension, Jamaica House by Paul Sirett, which had a site specific performance on the top floor of a tower block in Stepney, new musicals Make Some Noise, One Dance Will Do, Sammy, Harder They Come that has transferred to the Barbican and West End, and toured Canada, the US and the UK ; Ray Davies ’ Come Dancing – winner of the What ’ s on Stage Best Musical and the 2010 new production of John Adam's song play I Was Looking At The Ceiling And Then I Saw The Sky.

Then, after she takes on the Parliament Robe of State and Imperial State Crown in the Robing Chamber, the Queen proceeds through the Royal Gallery to the House of Lords, usually accompanied by the Duke of Edinburgh and immediately preceded by the Lord Great Chamberlain and the Earl Marshal, and by one peer ( usually the Leader of the House of Lords ) carrying the Cap of Maintenance on a white rod, and another peer ( generally a retired senior military officer ) carrying the Great Sword of State.

Then from 1821 to 1825, Ferdinand von Wrangel and Fyodor Matyushkin led expeditions along the coast of the East Siberian Sea and explored the Kolyma, Great Anyuy, and Little Anyuy Rivers.

Then, joined by Hugh the Great, Rudolph burned Herbert's fortresses and cornered him in Château-Thierry, where he had first imprisoned Charles, from 933 to 934.