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 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 `` image '' is meant not only a visual presentation, but also remembered sensations of any of the five senses plus the feelings which are immediately conjoined therewith.

By distinguishing superlunary ( celestial ) and sublunary ( terrestrial ) existence, and reinforcing this with the four-element physics of Empedocles, Aristotle came to speak of the stars as perfect bodies, which moved in only a perfect way, viz. in a perfect circle.

By these measures, Congress, so the Court ( in effect ) now decides, gave not only needless but inadequate relief, since it now appears that the federal courts have inherent power to sterilize the Act of 1875 against all proceedings challenging local regulation ''.

By the end of the nineteenth century, in 1893, when the Big Three, Columbia, and Penn were populous centers of learning, Dartmouth graduated only sixty-nine.

By 1926, when the mighty Yanks were at their mightiest, only a few of these were left but they still shone brightest, even beside able and agile rookies like Tony Lazzeri ( who managed never to have one of his epileptic fits on the field ), Mark Koenig, Lou Gehrig, George Pipgras, and gray-thatched Earl Combs.

By 1840 there were still only ten colonial bishops for the Church of England ; but even this small beginning greatly facilitated the growth of Anglicanism around the world.

By preserving the value, only one division operation is needed and the higher-order statistics can thus be calculated for little incremental cost.

By the 2005 series Australia's wins had increased to 115 whereas England's had increased to only 93 ( with 82 draws ).

By the Rule of St Benedict, which, until the Cluniac reforms, was the norm in the West, the abbot has jurisdiction over only one community.

Puttenham, in the time of Elizabeth I of England, wished to start from Elissabet Anglorum Regina ( Elizabeth Queen of the English ), to obtain Multa regnabis ense gloria ( By thy sword shalt thou reign in great renown ); he explains carefully that H is " a note of aspiration only and no letter ", and that Z in Greek or Hebrew is a mere SS.

By 1073 there were only two Englishmen in episcopal sees, and by the time of William's death in 1089, there was only one, Wulfstan II of Worcester.

By 454, the Delian League could be fairly characterized as an Athenian Empire ; at the start of the Peloponnesian War, only Chios and Lesbos were left to contribute ships, and these states were by now far too weak to secede without support.

By 1946, as the growing fellowship quarreled over structure, purpose, and authority, as well as finances and publicity, Wilson began to form and promote what became known as AA's Twelve Traditions, guidelines for an altruistic, unaffiliated, non-coercive, and non-hierarchical structure that limited AA's purpose to only helping alcoholics on a non-professional level while shunning publicity.

By adding a CRTC6845 to the package, a full hardware solution was created that did not reduce CPU performance and only used 1 kB of memory for the display.

By working very hard, one may be able to make this part 5 times faster, but this only reduces the time for the whole computation by a little.

By the end of the 18th century there were no factories or mills and only a few small cottage industries along the border with Zurich.

By a further act of 1541 — which was not repealed until 1845 — artificers, labourers, apprentices, servants and the like were forbidden to play bowls at any time except Christmas, and then only in their master's house and presence.

By 1972, however, with only a minimum of work done on the I-95 right of way and none on the potentially massively disruptive Inner Belt, Governor Francis Sargent put a moratorium on highway construction within the MA-128 corridor, except for a short stretch of Interstate 93.

By the summer of 1912 Heelis had proposed marriage and Beatrix had accepted, although she did not immediately tell her parents who once again disapproved because Heelis was only a country solicitor.

By now the rebel forces were said to have numbered 230, 000, however, this number should be treated with scepticism — Dio's account is known only from a late epitome, and ancient sources commonly exaggerate enemy numbers.

By 24: 00 only Tonnant remained engaged, as Commodore Aristide Aubert Du Petit Thouars continued his fight with Majestic and fired on Swiftsure when the British ship moved within range.

By 1950, there were only 100, 000 monolingual Bretons, and a rapid decline since, with likely no monolingual speakers left today.

By the 1960s, " the Big Apple " was known only as an old name for New York.

By 1943, the Partisan resistance movement had gained the upper hand, against the odds, and in 1945, with help from the Soviet Red Army ( passing only through small parts such as Vojvodina ), expelled the Axis forces and local supporters.