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 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.

* 2002 – 2003 California recall: Then Governor of California Gray Davis announces that the state would face a record budget deficit of $ 35 billion, roughly double the figure reported during his reelection campaign one month earlier.

Then, somewhat later that same month, there was a meeting in Washington where the possible importance of the newly discovered phenomenon of fission was first discussed in semi-jocular earnest as a possible source of nuclear power.

Then Jibril announced that consultations were under way to form an interim government within one month, followed by elections for a constitutional assembly within eight months and parliamentary and presidential elections to be held within a year after that.

Then, on October 2, 2002, Lori Ann Lewis-Rivera became the fifth victim of the snipers who terrorized the Washington area that month, while cleaning her auto at a Kensington gas station.

Then a foot injury to Nelson forced him to sit out over a month.

Then AOL makes a low price that does not pierce the relative low set earlier in the month.

Then it was said that she told the Buddha to make an offering with his clergy on the fifteenth day of the seventh month, a virtuous act that would free seven generations of people from being hungry ghosts in Hell as well as people reborn as lower animals.

Then, the team traveled to Fort Bragg, North Carolina, in February for a month of training with the US Army's Delta Force.

Then, on 3 April 1961, a member of the species was rediscovered by naturalist Eric Wilkinson, and the first specimen in more than 50 years was captured later in the month.

Then after a month, he wanted to send them away, but they answered that the moon waxed and waned for ever and always, and so they said they were allowed to stay.

Then, in the same month Superboy left the Legion in Legion of Super-Heroes No. 259 ( Jan 1980 ), a new series entitled The New Adventures of Superboy debuted, with the first issue depicting Clark Kent celebrating his sixteenth birthday.

Then followed " Lost " in August before the album was released the following month.

Then for one month the expedition examined the Elbrus area, collecting great quantities of scientific material.

Then, after a month, take off the

Then, after taking his family on a vacation to the forest for the rest of the month, John makes a deal with Ava to not make any decisions for the month and promised to turn Archie into someone she will love to provide, hunt and protect for her when she has cubs, though she is already involved with someone else.

Then, on 3 March 2002, one month before the main assault on the refugee camp, his mother was killed during an Israeli raid into Jenin.

Then, in the same month, Liberty contributed ID-FF to OASIS, thereby sowing the seeds for the next major version of SAML.

Then during the week before the month ends, he is administered five drops of Amanza Guapo in his cup of morning coffee.

Then you will spend at least a month wondering why the camera didn't get fixed during localization.

Then she sent Kusala's son Toghan Temur in exile to Korea to secure her son's succession ; but Aratnadara died one month after his designation as heir.

Another description of this story comes from The Major Classes by ibn Sa'd al-Baghdadi, although this work is based on the former source :" Then occurred the " sariyyah " of Salim Ibn Umayr al-Amri against Abu Afak, the Jew, in month of Shawwal in the beginning of the twentieth month from the hijra, of the Apostle of Allah.

Then it is transferred to a cool place ( 50 ° F ) and stored for about a month in order to increase its carbohydrate content.