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 1743 he further alienated his father by marrying Antoinette Champion ( 1710 – 1796 ), a devout Roman Catholic.

Then Sastri brings her to his home where other people insult him as Tulasi is a murderer and daughter of a prostitute while Sastri is a devout Brahmin.

Then, in 1959, Patchen notes in the letter quoted above, that another surgery at the Presbyterian Medical Center of San Francisco ended in disaster.

Then one of Cromwell's officers, Colonel Pride, destroyed the Presbyterian majority in Parliament by driving out of Parliament 143 Presbyterians of the 203 ( leaving behind 60 ).

* Hugh Macmillan ( 1953 ) Then Till Now in Formosa: English and Presbyterian Missions in Formosa.

* Then Till Now in Formosa ; English and Canadian Presbyterian Missions in Formosa ( Taiwan ), 1953, Hugh Macmillan.

Then House Speaker Dennis Hastert appointed a bipartisan search committee made up of 18 congressional members to recommend a new chaplain to him, but when that committee reportedly recommended Catholic priest Timothy O ' Brien ( selected by secret ballot after consideration of more than 50 applicants and nominees for the position ), Hastert chose Presbyterian minister Charles Parker Wright instead.

Then, in some way, this lack of faith in the cavalry became mixed up in his mind with the dragging effect of wagon trains and was hardened into a prejudice.

Then the Lord let me see why there was none upon the earth that could speak to my condition, namely, that I might give Him all the glory ; for all are concluded under sin, and shut up in unbelief as I had been, that Jesus Christ might have the pre-eminence who enlightens, and gives grace, and faith, and power.

: Matthew 9: 29 " Then He touched their eyes, saying, " According to your faith let it be to you.

Then, an unnamed counselor stands up and addresses the king, also seeing the benefit of the new faith.

Then in what was to be his final letter he noted, " In my contacts with these new friends, I also feel a consolation in my own faith in Christ and in his dwelling presence.

Then one thinks one has no faith at all ; indeed, one feels that no faith will come.

Then came the bishops of the idols unto the emperor and said unto him: O thou most holy emperor, sith the time that thou hast received Christian faith the dragon which is in yonder fosse or pit slayeth every day with his breath more than three hundred men.

Then Austrian General came to Drăgăneşti, inviting Costandin-vodă to leave Ruşi and meet him in Drăgăneşti, showing himself a great friend towards Costandin-vodă, asking him, in all good faith, to teach him what he should do next.

Then, they tried to prove to the clergy that the correction of the books in accordance with the Greek standards profaned the pure faith because the Greek Church had deviated from the " ancient piety " and had been printing its divine service books in Catholic print houses and that they had been exposed to Roman Catholic influences.

" Then, through the influence of Léon Bloy, they converted to the Roman Catholic faith in 1906.

Then with my heart I first believed, Believed with faith Divine, Power with the Holy Ghost received To call the Saviour mine .</ p >