Then he rebuilds the original manifold by connecting the spheres together with three-dimensional cylinders, morphs them into a round shape and sees that, despite all the initial confusion, the manifold was in fact homeomorphic to a sphere.

Then it was revealed that Livingston — who had been publicly critical of President Bill Clinton's perjury during his sexual harassment-had engaged in an extramarital affair himself, and he opted to resign from the House despite being urged to stay on by House Democratic leader Gephardt.

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 in the late 1920s and 1930s, Thorp experienced a remarkable economic boost despite the Great Depression that had descended upon the nation.

Then, despite Nick's pleas, she fires again and again, finishing the job.

Then came the dramatic moment when Pinel freed an English captain who had lived in chains for forty years and had, despite that, killed a prison attendant with a blow from his manacles.

Then in 1782 he was appointed to the New Hampshire Supreme Court despite not being a lawyer.

Then in the final, despite stumbling at the final hurdle, he won the Olympic gold medal in 51. 7 seconds which would have been a world record but for the fact that he had knocked over the last hurdle, and under the laws prevailing at the time, this ruled out recognition of a world record.

Then Hofmann leaked its existence to the press, after which the church was virtually forced to release the letter to scholars for study, despite previously denying it had it in its possession.

Then came the General Chapter of 1290, in which Munio was re-elected, despite the allegations.

Then he won his first round match against Ali Carter 6 – 3 to progress to the quarter-finals of the event, despite being involved in a traffic accident the day before his match against Carter.

Then, despite a leg injury, he tucked the ball under his arm and dove into the end zone for the winning touchdown.

After more than a year's delay, his next film was I Married a Witch ( 1942 ), followed by It Happened Tomorrow ( 1944 ), both of which did respectably well, and then And Then There Were None ( 1945 ), which turned out to be an exceptional commercial success despite being perhaps the least personal of his Hollywood ventures.

Then, John tells Archie that he will find a way win Ava's heart, despite Archie's doubts of facing Ava's Kodiak Bear boyfriend, Sonny.

Then in the 2003 Assembly election Donaldson was allowed to stand, despite at this point having resigned the UUP whip at Westminster.

Then he read a book about musicians who had failed to understand they were entering a business, despite the phrase " show business ".

Then, despite his shocking state of burns and charred clothing, he returned through the burning fuselage to report to the pilot.

He then decided to try his luck with the men's senior varsity basketball team of the Mapúa Institute of Technology. He was fortunate that he made it to the final roster. Then, he enrolled at the said institution to pursue a degree in Civil Engineering and saw action for the Cardinals in the NCAA from 1983 to 1986. He played the center position. He won the NCAA Most Valuable Player award back-to-back in 1985 and 1986 despite not leading the school to a championship.

Then Pius V. decided to banish the Jews from all his dominions, and, despite the enormous loss which was likely to result from this measure, and the remonstrances of influential and well-meaning cardinals, the Jews ( in all about 1, 000 families ) were actually expelled from all the Papal States excepting Rome and Ancona.

Then, when Labour won the 1964 election, he became permanent secretary of the new Department of Economic Affairs, despite not agreeing with its development.

Then, Ulla ( Uma Thurman ), a beautiful Swedish woman, appears at their office for casting despite there being no auditions.

Then the train accelerated again, despite the signal still showing red.

Then the fact that the lower channel line was pierced had further forecasting significance.

Then and become partially defined operations on G, and will in fact be defined everywhere ; so we define * to be and to be.

Then, using physical arguments, one derives a suitable " fundamental volume " for the particular system to reflect the fact that quantum mechanical microstates are discretely distributed on the phase space.

Then it hit me: He'd been giving me all this bullshit about his wife and his two kids in London, when in fact he was gay, and he was makin ' a move on me!

Then pall-bearers carried the coffin out into a gondola and the ' body ' - which was in fact a mechanical sculpture by Jean Tinguely-was ceremonially slid into the canal.

Then fix some to verify this fact.

Then, applying the triangle inequality to both sides, using ( 5 ) and the fact that as well as are non-negative we obtain

Then, in October 2011, Netflix announced that it would retain its DVD service under the name Netflix and would not, in fact, create Qwikster for that purpose.

Then he revealed to them that he was in fact their brother, Joseph.

We can use this fact to prove part of a famous result: for any prime p such that p ≡ 1 ( mod 4 ) the number (− 1 ) is a square ( quadratic residue ) mod p. For suppose p = 4k + 1 for some integer k. Then we can take m = 2k above, and we conclude that

Then the point O, by the second fact above, is equidistant from A, B, and C. And so O is center of the circumscribing circle, and the hypotenuse of the triangle AC is a diameter of the circle.

" Then, shortened from the original, it is: Ei incumbit probatio qui " the onus of proving a fact rests upon the man ".

Then one checks that these two functions are in fact both ring homomorphisms.

Then, in 1822, shortly before finishing his first book ( The Fossils of South Downs ), his wife found several large teeth ( although some historians contend that they were in fact discovered by himself ), the origin of which he could not identify.

Then he continued developing it due to the challenge and the fact that people appreciated his work.

Then, after Professor X was " outed " as a mutant, Shaw apparently returned to his capitalist roots and converted the NY branch of the Hellfire Club into a strip club, which was in fact a safe haven for mutants regardless of affiliation.

Then Bugs, alerted to the fact that he's dealing with seasoned robbers, decides to nab them.

Then after results become more normal they believe that their action was the cause of the change when in fact it was not causal.

Then comes the revelation: a few days before Dan's planned suicide by lethal injection, Dan reveals that it was in fact he who had arranged to kill Julius, in collusion with Debra, in exchange for the Whuffie that her team could give him.

Some statements can be considered anti-semitic, and Lorber was in fact noted by the anti-semitic proponents of " Ariosophy " racial mysticism during the 1920, e. g. by Lanz von Liebenfels, who in 1926 published on Jakob Lorber as " the greatest ariosophic medium of the modern era " ( das grösste ariosophische Medium der Neuzeit ) Then again it is said in the books of Lorber, that salvation comes to all men from the Jews, and that one should in all truth return to Judaism and that the God of the Jews is the only true, eternal God.

Then, indeed, a French " Terre Napoléon " might well have become a fact.

Then we rely on the fact that the conditional probability