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 abstracting the notion of formulae and focusing of their concrete uses, that is distinct occurrences, it allows to provide an abstract syntax for computer science, as loci can be seen as pointers on memory.

By comparing the form of several yupanas, researchers found that calculations were based using the Fibonacci sequence 1, 1, 2, 3, 5 and powers of 10, 20 and 40 as place values for the different fields in the instrument.

By filling the character pointer memory with values from zero to 1919 this essentially turned the text mode display into a very high resolution graphics mode, with the " font memory ", acting as the high resolution Raster graphics video memory.

By not asking about the horses, Confucius demonstrates that the sage values human beings over property ; readers are led to reflect on whether their response would follow Confucius's and to pursue self-improvement if it would not have.

By contrast, a dynamic web page is a broader concept, covering any web page generated differently for each user, load occurrence, or specific variable values.

By the 1950s American conservatives were emphasizing the Judeo-Christian roots of their values.

By choosing different values for the parameter m, the following types of means are obtained:

: By spectral theory, we can associate a probability measure to the values of A in any state ψ.

By such careful editing, the films compared and contrasted the forces of evil with America and its traditional values.

By unifying its network of funeral homes and cemeteries under one brand name, SCI believed it could establish recognizable and communicable brand values.

By anomie Durkheim means a state when too rapid population growth reduces the amount of interaction between various groups, which in turn leads a breakdown of understanding ( norms, values, and so on ).

By convention, if the most significant digit can be either 0 or 1, it is termed a half-digit ; if it can take higher values without reaching 9 ( often 3 or 5 ), it may be called three-quarters of a digit.

By contrast, non-digital ( or analog ) systems use a continuous range of values to represent information and in these systems the exact informational size of 1 Bd varies.

By comparison, the decibel ( dB ) is a dimensionless unit, used for quantifying the ratio between two values, such as signal-to-noise ratio.

By the Eastern Han period, local elites of unattached scholars, teachers, students, and government officials began to identify themselves as members of a larger, nationwide gentry class with shared values and a commitment to mainstream scholarship.

By the extreme value theorem, a continuous function on a closed interval must attain its minimum and maximum values at least once.

By the time that Zhou returned to China in the spring of 1919, he had become deeply disenchanted with Japanese culture, rejecting the idea that the Japanese political model was relevant to China and disdaining the values of elitism and militarism that he observed.

By guaranteeing only one bit can be changing, Gray codes guarantee that the only possible sampled values are the new or old multi-bit value.

By default, only total delay and minimum bandwidth are considered when EIGRP is started on a router, but an administrator can enable or disable all the K values as needed to consider the other Vector metrics.

By dividing reservation lands into privately-owned parcels, legislators hoped to complete the assimilation process by forcing the deterioration of the communal lifestyle of the Native societies and imposing Western-oriented values of strengthening the nuclear family and values of economic dependency strictly within this small household unit.

By barring candidates associated with corruption and mismanagement of national resources from running for district assembly positions, the PNDC hoped to establish new values to govern political behavior in Ghana.

By 1940, counties that had experienced the most significant levels of erosion saw a greater decline in agricultural land values.

By extrapolating from the other noble gases, it is expected that ununoctium has a boiling point between 320 and 380 K. This is very different from the previously estimated values of 263 K or 247 K. Even given the large uncertainties of the calculations, it seems highly unlikely that ununoctium would be a gas under standard conditions, and as the liquid range of the other gases is very narrow, between 2 and 9 kelvins, this element should be solid at standard conditions.

By definition, the combustion reactions are always particularly exothermic and so enthalpies of combustion are always negative, although the values for individual combustions may vary.

By weighting and integrating individual returns ( such as through likelihood ratio based detectors ), detection can be optimised to place more emphasis on stronger returns obtained from certain monostatic or bistatic radar cross section values, or from favourable propagation paths, when making a decision as to whether a target is present.