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, Victor enters the cave and shouts the name of the path he wants her to use to return, either A or B, chosen at random.

: Then the whole public approved, with clash of arms and shouts, the lagman's speech.

Then his mother, late in the night, wakes up her husband and shouts that she is in labor.

After this, the senior priest ( or bishop ) pours pure olive oil and a small amount of wine into the shrine lamp, and says the " Prayer of the Oil ", which calls upon God to "... sanctify this Oil, that it may be effectual for those who shall be anointed therewith, unto healing, and unto relief from every passion, every malady of the flesh and of the spirit, and every ill ..." Then follow seven series of epistles, gospels, long prayers, Ektenias ( litanies ) and anointings.

Then comes her one solo, " Liaisons ", in which her character thinks back on the art of love as a profession in a gilded age, when sex ' was but a pleasurable means to a measurable end.

Then, declaring in disgust that he wished to " fight among brave men and not among cowards ", Eugene went into the attack with the Prussian and Danish infantry, as did the Dessauer, waving a regimental colour to inspire his troops.

Then he announced to the world: " The independence of Austria, for which he has fallen, is a principle that has been defended and will be defended by Italy even more strenuously ", and then replaced in the main square of Bolzano the statue of Walther von der Vogelweide, a Germanic troubadour, with that of Drusus, a Roman general who conquered part of Germany.

Then a title appears, saying " Reversed ", and the action is repeated in reverse, so that the castle re-erects itself under his blows.

Then on Oct 23, 1972, Balliett's student, Dr. Juno Jordan, changed Numerology further and helped it to become the system known today under the title " Pythagorean ", although Pythagoras himself had nothing to do with the system.

Then there is a new race, the " Agamans ", desert nomads, and a scenario involving them, " The Sand Eaters ".

Then, in 1964 the new Chrysler 426 Hemi engine so dominated the series in a Plymouth Belvedere " Sport Fury ", the homologation rules were changed so that 1, 000 of any engine and car had to be sold to the public to qualify as a stock part, instead of just 500.

Then one day, Snow's agent called him, talking about the " pilot episode ", and hinting that he had got the part.

And they discovered "( the bodies ) of Abraham, Isaac and Jacob ", " their shrouds having fallen to pieces, lying propped up against a wall ... Then the King, after providing new shrouds, caused the place to be closed once more ".

", Yossarian replies, " Then I'd certainly be a damned fool to feel any other way.

Then the " opposite ", or ' echo ', of the first stanza, in whatever sense is appropriate to the poem, is composed in the right-hand column of the page.

Then in 1979 it was renamed the " Tsinghua University Department of Applied Mathematics ", and renamed again in 1999 to its current title.

Then, analyze the motion of ears metonymically — we associate " turning ears " with " paying attention ", which is what the speaker wants the listeners to do.

Then, when he heard Jimmy Giuffre playing saxophone on " The Train and The River ", he talked his father into buying him a saxophone, and took lessons in tenor sax and music reading.

Then it is used as: General Strike of a city, i. e., " General Strike in Florence ", or a General Strike in a whole country or province, for the purpose of gaining political rights, i. e., the right to vote ; as in Belgium, or Sweden.

* " Hollywood ", a 1977 song by Boz Scaggs, from the album Down Two Then Left

The Ink Spots had a string of record successes in 1939-40, both in the USA and in Britain, with " My Prayer ", " Bless You " and " Whispering Grass " and The Mills Brothers followed suit in 1943-44 with " Paper Doll ", " You Always Hurt The One You Love " and " Till Then ".