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 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 he could tell them to go home, while the administration continued to wage the battle with the $28 million in extra revenues the sales tax measure would bring in over an eight months period.

Then, he and Beast battle the Maha Yogi.

Then the tough battle for Guadalcanal, which was centred on the capture of the airfield, Henderson field, led to the development of the adjacent town of Honiara as the United States logistics centre.

Then another great battle occurred on land.

Then he sets out for battle, mounting his storm-chariot drawn by four horses with poison in their mouths.

: Then shall the dog Garmr be loosed, which is bound before Gnipahellir: he is the greatest monster ; he shall do battle with Týr, and each become the other's slayer.

Then Marcellus and Hannibal fought a battle at Numistro, where a clear victory could not be decided, although Rome claimed victory.

Then, in 689 king Redbad was defeated by Frankish Duke Pippin of Herstal in the battle of Dorestad and the Franks regained control of the area.

Then it is said that he continued into battle, overwhelming the enemies ' swords and thoroughly beating them down.

Then the Russell and Bellona ran aground on the Middle Ground, severely restricting their role in the battle.

Then on the Sunday, after the morning church service, serfs would assemble in a field and practice their battle techniques and were rewarded with a feast of oxen roasted on a spit.

Then the Korean ships engaged in a free-for-all battle with the Japanese ships, maintaining enough distance to prevent the Japanese from boarding ; Admiral Yi permitted melee combats only against severely damaged Japanese ships.

Then on 4 and 5 March, Uri's troops refused to join the battle and instead withdrew.

Then James IV himself leading a great force came on to Surrey and Lord Darcy's son who " bore all the brunt of the battle.

Then in 310 BC he was again appointed as a legate under Lucius Papirius Cursor, and fought in a major battle at Longulae against the Samnites.

Then his older brother moved south to what is now the Auckland region, Hauraki, and soon after the paramount chief of the area died of wounds received in battle.

But at sight of Jayadratha and of their beloved wife seated on his car, their fury knew no bounds ). Then follows the exciting description of a battle in which the five pandavas routed the Sauviras, Ikshwakus, Sivis, and Saindhavas and their armies.

Then there is an inspection of the troops by one playing General Zaragoza, with a tradition of cutting the hair of a new member of the troops for “ lice .” The last battle occurs in the evening with the French troops climbing on airport side and the Mexican troops on the Río Consulado side.

Then, in October 1454, Thomas Percy and his brother Richard were captured by the Nevilles in a battle at Stamford Bridge.

Then, on command, the platoons of the columns turned left at Lobetinz, the whole Prussian army lay in line of battle at nearly a right angle to the left flank of the Austrian position.

The battle of Beersheba ( Then Birüssebi ) was one critical element of a wider British offensive, known as the Third Battle of Gaza, aimed at breaking the Ottoman defensive line that stretched from Gaza on the Mediterranean shore to Beersheba, an important regional centre some inland.

Then they both sold the judge to President Bush, who wanted above all else to avoid a confirmation battle.

Then in the middle of Godzilla's fights, Gabara appears and Minilla is forced to battle him, and after a short and one-sided battle Minilla runs away in fear.