Then, gathering a military force of 300 to 400 discontented conquistadors and between 5, 000 and 8, 000 indigenous Nahua allies, Guzmán set out on December 21, 1529, to the west of Mexico City to conquer lands and peoples who until then had resisted the conquest.

Then England won in 1911 – 12 by four matches to one.

Then Chris Broad scored three hundreds in successive Tests and bowling successes from Graham Dilley and Gladstone Small meant England won the series 2 – 1.

Then by Arzelà – Ascoli theorem the space K is compact.

Then followed Woolwich Common ( 1907 – 1908 ), Pound Park ( 1908 – 1913 ), and Angerstein Lane ( 1913 – 1915 ).

Then he returned to Germany – crowned emperor and apparent victor over the papacy.

Then f = u + iv is complex-differentiable at that point if and only if the partial derivatives of u and v satisfy the Cauchy – Riemann equations ( 1a ) and ( 1b ) at that point.

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 the second Cauchy – Riemann equation ( 1b ) asserts that is irrotational:

Then Goursat's theorem asserts that ƒ is analytic in an open complex domain Ω if and only if it satisfies the Cauchy – Riemann equation in the domain.

Then deforestation rates accelerate ( HFHD, high forest cover – high deforestation rate ), and forest cover is reduced ( LFHD.

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

* 2002 – 2003 California recall: Then Governor of California Gray Davis announces that the state would face a record budget deficit of $ 35 billion, roughly double the figure reported during his reelection campaign one month earlier.

Then, in the time of Pope Gregory VII ( 1073 – 1085 ), canonists who in the Investiture Controversy quoted the prohibition in canon 22 of the Council of Constantinople of 869 – 870 against laymen influencing the appointment of prelates elevated this council to the rank of ecumenical council.

Then, not long before the finish, the Automobile Club de l ' Ouest ( ACO ), organizers of the Le Mans event, informed Ford that the geographical difference in starting positions would be taken into account at a close finish – meaning that the McLaren / Amon vehicle, which had started perhaps behind the Hulme-Miles car, would have covered slightly more ground over the 24 hours and would therefore be the winner.

Then, a major opportunity arose when Fox – buoyed by the returns from The Sound of Music ( 1965 ) – commissioned Kelly to direct Hello, Dolly!

Then, by allying with the rulers of Austria and Prussia, she incorporated the territories of the Polish – Lithuanian Commonwealth, where after a century of Russian rule non-Catholic mainly Orthodox population prevailed during the Partitions of Poland, pushing the Russian frontier westward into Central Europe.

Then in 1968 he became Professor of Informatics at ETH Zürich, taking two one-year sabbaticals at Xerox PARC in California ( 1976 – 1977 and 1984 – 1985 ).

Then – in the only paid employment he ever had – he took a job as a telegraph operator with the Great Northern Telegraph Company working first in Denmark and then in Newcastle-upon-Tyne, and was soon made a chief operator.

Then, in order to prevent Polk from dissipating his forces by implementing his proposal to allow some men to join a partisan group, Johnston ordered him to send Pillow and 5, 000 men to Fort Donelson.

Then he began to reorganise the armed forces in line with his foreign policy plans.

Then in 1189 Richard openly joined forces with Philip to drive Henry into abject submission.

Then Congress never gets around to the task of reorganizing and renumbering all the sections in a title, which forces Congressional drafters to resort to awkward methods to shoehorn new laws into the existing section numbering of a title.

Then the AK started a nationwide uprising ( Operation Tempest ) against Nazi forces.

Then the particle is moved around by other forces, and eventually ends up at A again.

Then general Augereau ( he of the Fructidor-coup ), now commander-in-chief of the French forces in the Netherlands, routinely closed the doors of the Assembly ( by previous arrangement with Pijman ) on September 19, and arrested the dissident Directors.

Then, Lysander's forces went to the Bosporus and captured both Byzantium and Chalcedon.

Then, sweeping down on the forces that the Carthaginians and their allies, the Numidians, are trying to muster on the Great Plains near the upper Bagradas River ( in modern Tunisia ), he smashes that army in the Battle of the Great Plains.

Then when Yasser Arafat took on that role in September 1970, al-Yehiyeh became chief-of-staff of all Palestinian forces.

Then, the new positions are used to compute the forces during the next step, and this loop is repeated until the simulation ends.

Then, in the fall of 1918, the Bulgarian army was badly beaten by an attack from the Allied forces in Greece.

Then, York forces a captured German officer ( Charles Esmond ) at gunpoint to order the Germans still fighting to surrender.

Then the forces leveled off at around 2, 700, 000 until the Vietnam military buildup began in 1965, reaching a peak of nearly 3, 550, 000 by mid-1968, just after McNamara left office.

Then in December 2006 Omar reportedly issued a statement expressing confidence that foreign forces will be driven out of Afghanistan.

Then he leads his units to assault some Soviet bases to collect some weapons, ammunition and tanks as the resistance forces have only a limited supply of weapons.

Then Jackson pulled his forces back to the Rodriguez Canal, about south of the city.

Then on January 8, 1863, Confederate forces under Gen. John S. Marmaduke advanced toward the town square and the Second Battle of Springfield ensued.

Then, in 15 days, his forces advanced 300 km and captured 20, 000 Austrians.

Then in 1960 the company became part of the Royal Australian Regiment and was given the responsibility for commando and special forces operations in the Australian Army.

A few days prior to the attack, Lucas wrote in his diary, " They will end up putting me ashore with inadequate forces and get me in a serious jam ... Then, who will get the blame?

Then, according to the Manx Chronicle, he inflicted a heavy defeat on his erstwhile Mac Lochlainn allies, following which he and his chieftains returned to the islands, leaving the city to the invading forces of Diarmait Mac Murchada.

Then he announced that the Galactic Republic would become a Galactic Empire so strong as to never be threatened by outside forces again.

Then in the Battle of Emmaus, Judah proceeded to defeat the Seleucid forces led by generals Nicanor and Gorgias.