Then the probe is cooled with NO < sub > 2 </ sub > or CO < sub > 2 </ sub > to a temperature of-85 < sup > o </ sup >.

Then Brigadier General Norman Cota ( assistant CO of the 29th ID ) calmly walked towards Maj. Max Schneider ( CO of the 5th Ranger Battalion ) while under heavy machine gun fire and asked “ What outfit is this ?” Someone yelled " 5th Rangers!

Then there is a " double CO < sub > 2 </ sub > phase " in which the CO < sub > 2 </ sub > content is instantaneously doubled and the model run for a further 15 years, which in some cases is not quite sufficient model time to settle down to a new ( warmer ) equilibrium.

Then the energy of the vacuum is exactly E < sub > 0 </ sub >.

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 X is reflexive if and only if each X < sub > j </ sub > is reflexive.

Then the cotangent space at x is defined as the dual space of T < sub > x </ sub > M:

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 the complex derivative of ƒ at a point z < sub > 0 </ sub > is defined by

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 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 >.

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 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.

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.

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.

Then, in probably the most interesting part of the hymn, Enheduanna herself steps forward in the first person to recite her own past glories, establishing her credibility, and explaining her present plight.

Then they probably headed south to besiege Philippopolis ( now Plovdiv in Bulgaria ).

Then Alamanni broke in, probably through Agri Decumates ( an area between the upper Rhine and the upper Danube ), probably followed by the Juthungi.

Then, it was revealed that the original negative had been shipped back to Berlin ( probably due to the efforts of Frank Hensel ) to be stored in the Reichsfilmarchiv vaults.

Then James VI began fighting with the Catholics, but eventually gave them rights ( after his secretly Catholic wife probably persuaded him to ), exempting the Catholics from having to pay the tithe to the Anglican Church, but this caused a great decrease in Anglican Church revenue, so he quickly took those rights away.

Then Governor-General Fausto Cruzat Y Gongora ( July 25, 1690 to December 8, 1701 ) had most likely spent much of his time in the northern outpost in Carranglan and Pantabangan and, baking in the fiercely hot climate, probably waxed nostalgic about his hometown in Ecija, Andalusia in Spain.

Then he is captured by the Witch of the Waste ( probably as he was checking Wizard Suliman's flowers at the edge of the Waste ) and decapitated.

Then the surface of the columns was sculpted with scenes celebrating a ruler named 13 Rabbit, who probably had this structure built.

Then, at about 6 am, one or more of Hoods magazines exploded, probably as the result of another shell hit from Bismarck.

Then, rereading The Voyage of the Dawn Treader by C. S. Lewis, I realized that I had probably gotten it from the island of Terebinthia in that book.

Then there was a 9. 1 % decrease in 1999, probably due to internet gaming.

Then I started getting a little bit better, and I could probably do a couple of pages a day.

Then on 5 April, John Cawood, the publisher of Mary Magdalen's funeral tears, who probably owned the copyright all along, entered the book in the Stationers ' Register, and brought out a third edition.

Then in August 843, they signed probably the most important treaty in European history, the Treaty of Verdun.

Then you either get a little model of it and simulate, or you can get a real train because that's probably going to be more effective.

Then he went to Sweden and studied medicine and natural history 1761 – 1764 at Uppsala University, where he was probably the only American student of Carolus Linnaeus.

The figures probably represent Saint Ciarán of Clonmacnoise | Ciarán and Diarmait mac Cerbaill founding Clonmacnoise: " Then Ciarán planted the first stake, and Diarmait son of Cerball was along with him.

Then Capt Charles Bonner managed to squeeze the ketch ' Constant ' into a tiny bay near ' Parkeese ' and the town that formed around this new landing spot, Constant Bay, was named Charleston, probably in his honour.

Then, one day, he meets a one-eyed old man ( most probably Odin, although the tale always refers to him merely as ' One-Eyed Old Man ') who tells him that he has foreseen his coming for a thousand years, and that he has been chosen as a champion of the Gods to fight their battle in the shadows beyond his world.

Then the hill probably returned to scrub.

Then the penguins were added, probably by using cel overlay.

Better to let Russia see that there is nothing to be achieved by aggression, but there are advantages in joining: Then the Russian regime ’ s attitude will probably change and they will take part without compulsion.