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.

) There are also numerous instances where the killer is not brought to justice in the legal sense but instead dies ( death usually being presented as a more ' sympathetic ' outcome ), for example Death Comes as the End, And Then There Were None, Death on the Nile, Dumb Witness, The Murder of Roger Ackroyd, Crooked House, Appointment with Death, The Hollow, Nemesis, Cat Among the Pigeons, and The Secret Adversary.

Then on July 20, 2007 guitarist Jack Owen ( ex-Cannibal Corpse ) announced that Deicide is " on hiatus " and he has joined Ohio based death / thrash combo Estuary for touring purposes.

Then, after her return to Japanese islands, the boy was born, three years after the death of the father.

Then in 725, upon Donatus ’ death, the Grado patriarchate was usurped by Peter, the Bishop of Pola.

Then in 840, with Louis ’ death and the accession of Lothair as emperor, war again erupted between the sons of Louis.

Then on January 24, eight days before Stephen ’ s death, Afiarta dragged the blinded Sergius from his cell in the Lateran and had him strangled.

Then Donald Woods, a journalist, editor and close friend of Biko's, along with Helen Zille, later leader of the Democratic Alliance political party, exposed the truth behind Biko's death.

Then, when We decreed ( Solomon's ) death, nothing showed them his death except a little worm of the earth, which kept ( slowly ) gnawing away at his staff: so when he fell down, the Jinns saw plainly that if they had known the unseen, they would not have tarried in the humiliating Penalty ( of their Task ).

Then the feast of Saint Joachim on 16 August was moved and the date became available for another celebration, so the feast of Saint Stephen of Hungary was moved to that date, the day immediately after his death.

Then he prophesies about the birth, life, infinite atonement and death of Christ, calling on his people to repent and believe in the Savior.

Then, being unable to get out, they would starve to death.

Then Ricimer besieged the part of Rome where Anthemius was for several months until the lawful Emperor was abandoned by his partisans, captured in a church and put to death by Gundobad, Ricimer's nephew.

Then, a localized Hutu uprising in 1972 was fiercely answered by the Tutsi-dominated Burundi army in the largest Burundi genocide of Hutus, with a death toll nearing 200, 000.

* " Then come, sweet death, and rid me of this grief.

Then in 1842 the death of Fr.

Then, Chang is stabbed to death by Hui Fei.

Then he reached for another, turned it on himself, and fired, dying a reportedly terrible death.

Then on the death of Galerius, in May 311, Licinius entered into an agreement with Maximinus Daia, to share the eastern provinces between them.

Then, Hitu arrives on the island and sees Reri alone, informing her that that she has three days to give herself up or Matahi will be put to death.

Then death carried him into its shadows.