Then the Greek army counter-attacked and defeated the Bulgarians at Kilkis-Lahanas ( Kukush ), after which the mostly Bulgarian town was destroyed and its population expelled.

Then the invaders headed south to plunder Nicopolis ad Istrum where Decius defeated them but not decisively.

Then he hastily crossed through the Balkans, taking with him the new cavalry corps ( comitatus ) under the command of Aureolus and defeated the usurper at Mursa or Sirmium.

Then, around 1460 Mai Ali Dunamami defeated his rivals and began the consolidation of Bornu.

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, three weeks later, William of Normandy defeated Harold at the Battle of Hastings, in Sussex, and in December he accepted the submission of Edgar the Ætheling, last in the line of Anglo-Saxon kings, at Berkhamsted.

Then in 1351, he sent 12 ships to help Venice against Genoa, but the fleet was defeated.

Then in 324, Constantine, tempted by the " advanced age and unpopular vices " of his colleague, again declared war against him, and, having defeated his army of 170, 000 men at the Battle of Adrianople ( July 3, 324 ), succeeded in shutting him up within the walls of Byzantium.

Then Ricimer defeated Avitus ' troops near Placentia, taking prisoner the Emperor himself, who was obliged to abdicate.

Then, after Britain was defeated in the American Revolutionary War, West Florida was governed by the British and the Spanish.

Ravana was defeated and was put to humiliation. Then on request of his maternal grandfather Pulastya the great king Kartaviryarjuna released Ravana ( the Lord of Lanka ).

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 with the help of many Castilian rebels and Bertrand du Guesclin's Frenchmen, they defeated Peter at the Battle of Montiel ( 14 March 1369 ).

Then, he defeated South Korean challenger Soon-Hyun Chung, by decision in 15 ; after dropping him in round eight ; also in San Juan.

Then, in A. D. 556 Tikal enacted a ch ’ ak ( axe ) war event, and defeated Caracol ; this caused Lord Water to enact the first know star-war event in 562 ( 9. 6. 8. 4. 2 ), and defeated Tikal's Lord Wak Chan K ’ awiil ( Double Bird ).

Then King Harald turned back, but King Gandalf had come to Vestfold so they defeated him also.

Then the real Chippy Crescent wrapped the defeated team up in bandages, so they couldn't move, making them lose, although only by two points.

Then, he was defeated by Jacques Chirac in the run-off election but, given the PS crisis, his result was judged good and he returned as First Secretary.

Then, in 1032 the Zähringens of Germany defeated the Burgundians, who were then replaced by the counts of Savoy in 1218.

Then more Amorite kings were defeated at the waters of Merom by Joshua ( Josh.

Then joining Christian of Brunswick the count led his army through Lorraine, devastating the country as he went, and in August 1622 was defeated by the Spaniards at Fleurus.

() Then, some twenty years after the breakup of the United Monarchy, Abijah, the second king of Kingdom of Judah, defeated Jeroboam of Israel and took back the towns of Bethel, Jeshanah and Ephron, with their surrounding villages.

Then Lakshamana comes and he was also defeated by Lava.

Then he was attacked and defeated by Theodoric, the king of another Germanic tribe, the Ostrogoths.

Then, on July 2, there occurred another incident which set tongues to wagging at a furious clip.

Then in 2 we show that any line involution with the properties that ( A ) It has no complex of invariant lines, and ( B ) Its singular lines form a complex consisting exclusively of the lines which meet a twisted curve, is necessarily of the type discussed in 1.

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, in 396 BC, Agesilaus crossed into Asia with a force of 2, 000 neodamodes ( freed helots ) and 6, 000 allies ( including 30 spartiates ) to liberate Greek cities from Persian dominion.

Then, p < sup > 2 </ sup > is the fraction of the population homozygous for the first allele, 2pq is the fraction of heterozygotes, and q < sup > 2 </ sup > is the fraction homozygous for the alternative allele.

) Then X < sub > i </ sub > is the value ( or realization ) produced by a given run of the process at time i. Suppose that the process is further known to have defined values for mean μ < sub > i </ sub > and variance σ < sub > i </ sub >< sup > 2 </ sup > for all times i. Then the definition of the autocorrelation between times s and t is

Then I < sub > x </ sub > and I < sub > x </ sub >< sup > 2 </ sup > are real vector spaces and the cotangent space is defined as the quotient space T < sub > x </ sub >< sup >*</ sup > M = I < sub > x </ sub > / I < sub > x </ sub >< sup > 2 </ sup >.

Then Crapsey decided to make the criterion a stanza of five lines of accentual-syllabic verse, in which the lines comprise, in order, 1, 2, 3, 4, and 1 stresses and 2, 4, 6, 8, and 2 syllables.

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 NTPF became the Afloat Prepositioning Force ( AFP ) and eventually Maritime Prepositioning ship Squadron Two ( MPSRON 2 ) consisting of 20 deep-water pre-positioned logistics ships anchored in the lagoon.

Then the overall runtime is O ( n < sup > 2 </ sup >).

Then the Cartesian product set D < sub > 1 </ sub > D < sub > 2 </ sub > can be made into a directed set by defining ( n < sub > 1 </ sub >, n < sub > 2 </ sub >) ≤ ( m < sub > 1 </ sub >, m < sub > 2 </ sub >) if and only if n < sub > 1 </ sub > ≤ m < sub > 1 </ sub > and n < sub > 2 </ sub > ≤ m < sub > 2 </ sub >.

Let t and s ( t > s ) be the sides of the two inscribed squares in a right triangle with hypotenuse c. Then s < sup > 2 </ sup > equals half the harmonic mean of c < sup > 2 </ sup > and t < sup > 2 </ sup >.

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

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.

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.