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 considering NRM members innocent " victims " of psychological coercion these theories open the door for psychological treatments.

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 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 using the appropriate version any one of these factors can be determined for any combination of the other three.

Reports Jim Lendrum: `` By studying men on the job, we found that two men -- a carpenter and a helper -- can lay a floor faster than three.

By the time Barco reached the count of three, the situation seemed to Welch almost too good to be true.

By the time the film was released we were three million dollars over-spent, war was imminent and the public apparently had forgotten all about Mother Cabrini.

By rough estimate her Committee, headed by Henry Francis Du Pont, contains three times as many Republicans as Democrats.

By the time he had smoked three cigarettes he had calmed down.

By having three stations, a total of three different cars can be operated on at the same time, each one at a different stage of its assembly.

By age three, however, her mother changed her name to Elizabeth Sewall Alcott, after her own mother.

By his marriage to Euphrosyne Doukaina Kamatera Alexios had three daughters:

By his wife Eurydice, Amyntas had three sons, Alexander II, Perdiccas III and the youngest of whom was the famous Philip II of Macedon.

By his first wife, whose name is not known, he had three children:

By the early 5th century Britain had been Roman for over three hundred and fifty years.

By his advice Benedict became a hermit and for three years, unknown to men, lived in this cave above the lake.

By now Blenheim was under assault from every side by three English generals: Cutts, Churchill, and Orkney.

By 03: 00, after more than three hours of close quarter combat, Majestic had lost its main and mizzen masts while Tonnant was a dismasted hulk.

By 1781 three more societies had been established in Birmingham, with a fourth in the nearby town of Dudley ; and 19 more formed in Birmingham between 1782 and 1795.

Boroughs proliferated in the suburban areas of the larger cities: By the 1980s there were 19 boroughs and three cities in the area that is now the City of Auckland.

By the next day the Doge and the leading Franks were installed in the Great Palace, and the city was given over to pillage for three days.

By the Oligocene, all three subfamilies of canids ( Hesperocyoninae, Borophaginae, and Caninae ) had appeared in the fossil records of North America.

By 1604, Charles was three and a half and was by then able to walk the length of the great hall at Dunfermline Palace unaided.

By 1943 however, large numbers of fleet and light carriers became available, which required larger formations of three or four carriers.

By three years, infants will move further away from their mothers.

By the time of the national assembly elections in December 1992, only three had qualified.

By 1916 the three of them became the center of radical anti-art activities in the United States.