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 a large group of US dive bombers happened to find Nagumo's four carriers — with air cover absent.

Then from the branches of a near-by tree an Indian underclassman, disdaining both the platform and the English language, harangued the assemblage in his aboriginal tongue.

" Then the area became part of the Delaware and Cooweescoowee districts of the Cherokee Nation, Indian Territory.

Then consider the island only has one street ( Indian Creek Island Drive ) with only 32 waterfront homes spread out over 38 waterfront lots, all with estimated values ranging from $ 7 to $ 30 million ( current listings range from $ 15 to over $ 50 million on this brokerage site ).

Then, in 1529 – 1530, the forces of Nuño de Guzmán entered Michoacán and some parts of Guanajuato with an army of 500 Spanish soldiers and more than 10, 000 Indian warriors.

Then Indian Express came out.

" Then they look at the other side and the hole is in the Indian Ocean.

Then, around 1861, he became an Indian agent at Greenwood, Dakota Territory ( in what is now Tripp County, South Dakota ).

The earliest known use was by French-American writer John Hector St. John de Crevecoeur in rural New York in 1778: " Then a severe frost succeeds which prepares it to receive the voluminous coat of snow which is soon to follow ; though it is often preceded by a short interval of smoke and mildness, called the Indian Summer.

Then, on 4 November, he rebuffed what he said was an NFP overture to exchange preferences in seven safe Indian communal constituencies.

Then in 1953 it crossed the Indian Ocean to serve the communities of Indians in Kenya and Indians in Uganda by establishing a branch each in Mombasa and Kampala.

Then, too, although a champion of the Indian, Morgan was not an advocate of cultural pluralism nor did he work for " cultural survival.

He had been a President and Speaker of the Then India Maunatul Islam Association of Fiji, an organisation representing Muslims of South Indian origin in Fiji.

Agatha Christie's highly influential 1939 novel Ten Little Indians ( originally Ten Little Niggers, later changed to And Then There Were None ) presented the concept of a mysterious killer preying on a group of strangers trapped at an isolated location ( in this case, Indian Island ).

Then biking through Banni grasslands they see Indian Wild Ass there and Chari-Dhand Wetland Conservation Reserve.

Then she played as the 30th seed at the 2012 BNP Paribas Open in Indian Wells where after upsetting 6th seed Samantha Stosur in the 3rd round, lost to fellow Russian Maria Kirilenko in the round of 16 6 – 1, 5 – 7, 6 – 2.

Then on 19 July 1969 the Government of India nationalized 14 top banks, including Indian Bank.

Then, he led the charge against the weakened Indian wing.

Then in April 1657, Blake completely destroyed another Spanish merchant convoy — the West Indian Fleet — that had stopped at Santa Cruz harbour on its return voyage.

Then in 1905 he was involved in the creation of the Imperial Agricultural Research Institute in Pusa, in the Indian state of Bihar, and he was appointed the first Imperial Entomologist.

) Then she traveled on to Martinique and to Trinidad and Tobago for short stays, primarily to do an investigation of Shango, the African god who remained an important presence in West Indian heritage.

Then with the ball, Verity took seven for 49 as the Indian batsmen struggled against his accuracy.

Then, with the Indian independence in 1947, there was a gradual draw down of the military presence in the “ East of Suez ” and marked the collapse of the empire.

Then after freedom Indian government took a long place from the garden and made the college.

Then she lost four straight matches at Indian Wells, Miami, Amelia Island and Charleston.