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 in 1985, through the Halls ' connections in Nashville, the reunited lineup of John Hall, Larry Hoppen, Lance Hoppen and Bob Leinbach relocated there and by 1986 Orleans had cut the Grownup Children album, with guest appearances from heavyweights like Chet Atkins, Ricky Skaggs, Steve Wariner and Bela Fleck, under the direction of famed Nashville producer / MCA label chief Tony Brown.

Then in March 2007, a performance of ASSSSCAT was recorded at the LA Theatre with all four original members and also Chad Carter, Sean Conroy, Andrew Daly, Horatio Sanz, as well as guest monologists Will Arnett, Ed Helms, Jen Kirkman, Thomas Lennon, Paul F. Tompkins and Kate Walsh.

Then President of Russia Vladimir Putin is a guest at a sitting of the assembly on 28 February 2001.

Hayley Williams of Paramore made a guest performance on the track " Then Came To Kill " as did Aaron Weiss of mewithoutYou when he played the harmonica on " Forgive Me Nashville "; Scogin had been friends with both artists for many years.

Then in a manner typical of Quinn-Martin productions, Wesson would announce " The guest stars in tonight's story ..." ( including special guest stars ), and finally, the title of tonight's episode.

Then went on to play as Destruction's second guitarist as a guest onstage at Damnation Festival.

Then New York Governor Nathan L. Miller, described as " a big baseball fan " by the New York Times, made plans to attend games as a guest of the National Commission ( the Commissioner of Baseball ).

Then sometimes a brief interview, followed by an in-depth interview with a major guest beginning with a biography segment in similar format to The Hour.

Then he made a guest appearance on Milton Berle's Texaco Star Theater on May 12, 1953 and joined him as a regular the following September, often berating or heckling the big-egoed star for big laughs.

Then came a guest stint on ER as the feisty pediatrician Dr. Anna Del Amico, in which she guest-starred in the final three episodes of the third season.

Then it was later reported that Shawnna was removed from the album and became a solo album by Ludacris with guest appearances.

Then she accepted to take part to a few shows as a guest to testify about her generation ... Nobody had forgotten her, her fans are now in their 20 ’ s and they miss her.

It also appeared in the TV show Dawson's Creek, Party of Five ( with Hawkins performing it as a guest star ), and Now and Then, a 1995 film directed by Lesli Linka Glatter.

Then Argan invites Cleante to stay as a guest as Angelique is introduced to her fiancé, Thomas Diaforious.

In 2008, she at first made a guest appearance in an episode of the long-running BBC comedy series Last of the Summer Wine " Get Out Of That, Then " as Nora Batty's sister Florrie, before joining the cast regularly as Nora's both other sister and replacement Stella following the departure and subsequent death of Kathy Staff from the series in 2008.

Then she went to Denmark to study as a guest student at the University of Copenhagen.

Then they would introduce a white guest who gets routinely insulted by Belma and Tovah until the guest makes a witty comeback, such as Tom Ridge ( Will Sasso ) telling " the two of them to get four chairs and sit down.

Then they would count down from three to one and then take turns berating the guest, then ending the show by telling the guest to " think about what we said " and then say " This is Reality Check and we are through!