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 see that your youngster has a routine checkup once a year ''.

Then in 1702 the French astronomer Philippe de la Hire used a year he labeled at the end of years labeled ante Christum ( BC ), and immediately before years labeled post Christum ( AD ) on the mean motion pages in his Tabulæ Astronomicæ, thus adding the designation 0 to Kepler's Christi.

Then the reservists have to serve up to three weeks a year and can be called up to serve two weeks during a non-military crisis.

Then, in 1974, he appeared as one of many special narrators in the surprise hit of the year That's Entertainment!

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 all the doors and windows are flung open to let in the cold, fresh air of the new year.

Then, in November of that year, Business as Usual began a 15-week run at No. 1 on the US album chart.

Then, last year, two armed African groups began a rebellion against the Khartoum regime.

Then he caught a 23-yard pass from halfback Steve Sewell, becoming the first quarterback ever to catch a pass in the Super Bowl ( Elway had scored a touchdown on that play during opening day the previous year against the Raiders ).

Then, at a New Year's Eve party that year, Sally feels alone without Harry by her side.

Then, by skipping the leap day, the Swedish calendar was introduced, letting February 28 be followed by March 1, giving the entire year the same pattern as a common year starting on Monday.

Then, in the next year, the two fields were reversed.

Then the changes of angle in seconds of arc per year are:

Then it dropped to about $ 350 million a year.

Then, when the clock reaches midnight, there will be firework at Taipei 101 and every year since, the firework has last longer than the year before.

In Canada, anatomical pathology is a five year residency ; Then residents who wish to become forensic pathologists must complete a one year fellowship in forensic pathology.

Then, for the year 460, he choose the Gallic senator Magnus, and for the next year the Italian senator Severinus.

Then, in 1898, a year after introducing it to the world, Rudolf Diesel granted Burmeister & Wain A / S exclusive Danish manufacturing rights for the diesel engine.

Then in the third year, students chose a major in a particular field which they study for one year and a half to two years.