By considering the propagation of the negative energy modes of the electron field backward in time, Ernst Stueckelberg reached a pictorial understanding of the fact that the particle and antiparticle have equal mass m and spin J but opposite charges q.

By considering circumscribed spheres, the notion of Delaunay triangulation extends to three and higher dimensions.

By spring 1942, he was considering involvement in war work.

By contrast, socialism emphasises distributing output among trades as required by each trade, not necessarily considering how trades organise internally.

By selling vast quantities of shrimp and catfish to the U. S., Vietnam triggered antidumping complaints by the U. S., which imposed tariffs in the case of catfish and was considering doing the same for shrimp.

By 1942 Rockefeller had become increasingly impatient that his purchased property might never be added to the park, and wrote to the Secretary of the Interior Harold L. Ickes that he was considering selling the land to another party.

By the mid-1980s, therefore, it had become essential that the PNDC demonstrate that it was actively considering steps towards constitutionalism and civilian rule.

By 1702, Victor Amadeus was considering changing allegiance to the emperor again having entered secret correspondence with the emperor who promised him the Duchy of Montferrat.

By considering the impact of emotions, cognitive errors, irrational preferences, and the dynamics of group behavior, behavioral finance offers succinct explanations of excess market volatility as well as the excess returns earned by stale information strategies .... cognitive errors may also explain the existence of market inefficiencies that spawn the systematic price movements that allow objective TA analysis methods to work.

By 1925 she was considering how to prepare a laboratory guide in that field but " was persuaded by colleagues to write an advanced text " ( quoted in Hutchinson, p. 107 ).

By only considering geodesic distances or other isometric properties as done in spectral shape analysis, it is possible to retrieve all cats in a database of animals independent of the pose.

By trying the killer move before other moves, a game playing program can often produce an early cutoff, saving itself the effort of considering or even generating all legal moves from a position.

By considering bets on more than one event de Finetti could justify additivity.

By considering a coordinate transformation on a manifold as a map from the manifold to itself, the transformation of covariant indices of a tensor are given by a pullback, and the transformation properties of the contravariant indices is given by a pushforward.

By 08: 00 the Russians were occupying redoubts 1, 2 and 3, and, considering it too close to the enemy, had razed redoubt No. 4.

By 1925 he was considering appointing Stewart to the Senate, to remove him from active political involvement, but was handicapped by the absence of any other Alberta representation in his cabinet.

By considering the complex analytic structure induced on this compact surface we are led to the theory of compact Riemann surfaces.

By then considering perturbations by various mass terms they were able to calculate the superpotential in the presence of arbitrary numbers of colors and flavors, valid even when the theory is no longer weakly coupled.

By February, the opposition lords were considering accusing the Duke of York of high treason, which resulted in the king proroguing parliament on 24 February in order to protect his brother.

By 1985, their campaign had acquired sufficient traction for Congress to begin considering passing protectionist laws.

By considering the three possible outcomes ( Red Sox, Yankees, some other team ), you will see that regardless of which of the three outcomes eventuates, you lose.

By considering Riemann surface with boundary, we can couple it to the d = 1 conformal theory instead of coupling d = 2 theory to d = 0.

By not considering whether the person could afford the payments if they were to increase in the future, many of these loans may have put the borrowers at risk for default.

By considering the occurrences of values from, one has an alternate way to refer to, through.

By broadening its political base, the NRM was able to overcome splits from NRM members with other interests ( see above ) including the Rwandan refugees ( led by Kagame ) who abandoned the party to take up their own liberation struggle in Rwanda and the discontented members like Kizza Besigye who broke away to form the Forum for Democratic Change ( FDC ).

By supporting the efforts of the many faculty members who are working to attain ever higher standards, the president can encourage faculty leadership.

By this time Colangelo and the other partners were embroiled in a dispute over the financial health and direction of the Diamondbacks ( and notably including over $ 150 million in deferred compensation to many players who were key members of the 2001 World Series winning team and others ).

By decree of pope Leo X they were created papal nobles, ranking as Comes palatinus (' Count Palatine '), familiars and members of the papal household, so that they might enjoy all the privileges of domestic prelates and of prelates in actual attendance on the Pope, as regards plurality of benefices as well as expectives.

By the end of 1865, almost 100 clubs were members of the NABBP.

By 1867, it ballooned to over 400 members, including some clubs from as far away as San Francisco and Louisiana.

By 1914, there were several hundred members, perhaps as many as 2500.

By 1905, 62 % of the members were industrial workers ( 3 % of the population in 1897 ).

By 1910 both factions together had fewer than 100, 000 members.

By June 23, the situation appeared to have normalised, with members of the House of Ariki accepting to return to their regular duties.

By 1923, the 420 members were represented by 30 delegates.

By the 18th Congress there were only 31 members of the Central Committee, and of these only two were reelected.

By 1933, the party had approximately 3. 5 million members but as a result of the Great Purge party membership was cut down to 1. 9 million by 1939.

By the end of 1972, COG members had distributed approximately 42 million Christian tracts, mostly on God's salvation and America's doom.

By 1978, it was widely practiced by members of the group.

By the time of their break up, Elvira was pregnant, leading her family members to conceal her pregnancy until she gave birth to Diego in 1479.

By 1914 it had 160, 000 members.

By this time, Necker had earned the enmity of many members of the French court for his overt manipulation of public opinion.

By comparison, the other major English domestic cup, the League Cup, involves only the 92 members of the Premier League and Football League.

By 1933, the SS numbered 52, 000 members.

By 1905 membership had dwindled to just three members and the Society was dissolved.

By making wiki links simpler to type for the members of a particular community, these features help bring the different wikis closer together.

By 1937, the members had made the decision to create a new language, to the surprise of the world's interlanguage community.

By July 1994 there were sufficient staff members in the office of the prosecutor to begin field investigations and by November 1994 the first indictment was presented and confirmed.

By March 1957, a full year after the release of " Please, Please, Please ", most members of the Famous Flames had left the group after the group's new manager, Universal Attractions Agency Chief Ben Bart, insisted that the group's billing be " James Brown and The Famous Flames ".

By 1928, he had risen in the party ranks to become one of its most prominent members.