By applying this general principle, a great number of complex compounds of osmium, ruthenium, iridium, and rhenium, with triphenylphosphine, triphenylarsine, and triphenylstibine have been obtained in this laboratory during the past few years.

By 30 July the Greek army was outnumbered by the counter-attacking Bulgarian army, which attempted to encircle the Greeks in a Cannae-type battle, by applying pressure on their flanks.

By applying the chain rule, the last expression becomes:

By twice applying the transformation above from the stationary to the rotating frame, the absolute acceleration of the particle can be written as:

By 1912 and 1913, there are beginning to be many films from many American companies that rely on applying novel decoration to the story, rather than supplying any twists to the drama itself to sustain interest.

By applying voltage to G, one can control I < sub > D </ sub >.

By applying his construction to the sequence of real algebraic numbers, Cantor produces a transcendental number.

By placing the molecules in wells in the gel and applying an electric field, the molecules will move through the matrix at different rates, determined largely by their mass when the charge to mass ratio ( Z ) of all species is uniform, toward the ( negatively charged ) cathode if positively charged or toward the ( positively charged ) anode if negatively charged.

By applying the variational principle to the action

By charging the right amount of water and applying heat, the system can be brought to any point in the gas region of the phase diagram.

By using this arrangement, many common operations can be implemented by uniformly applying the same operation to each pixel independently.

By applying Pontryagin duality, one can see that abelian profinite groups are in duality with locally finite discrete abelian groups.

By darkening areas of texture maps corresponding to corners, joints and recesses, and applying them via self-illumination or diffuse mapping, a radiosity-like effect of patch interaction could be created with a standard scanline renderer ( cf.

By an offshore drilling contractor effectively applying HSE Management in its organization, it can optimize risk to achieve levels of residual risk that are tolerable.

By applying such principles in an obvious way ( using repeated applications of modus ponens ), Holmes is able to infer from his observation that " the sides of Watson's shoes are scored by several parallel cuts " that:

" By this, James meant that truth is a quality, the value of which is confirmed by its effectiveness when applying concepts to practice ( thus, " pragmatic ").

By applying sprezzatura to his speech and everything else he does, the courtier appears to have grazia and impresses his audience, thereby achieving excellence and perfection.

By applying a bias voltage to a " gate " terminal, the channel is " pinched ", so that the electric current is impeded or switched off completely.

By applying his operational calculus to the analysis of this network he discovered ( 1887 ) what has become known as the Heaviside condition.

By repeatedly applying the definition of conditional probability:

By applying a single spatial model on an entire domain, one makes the assumption that is a stationary process.

By applying the inverse Fourier transform, we can write:

By applying Mauss's theory to data such as Mead's, Lévi-Strauss proposed what he called alliance theory.

By its standard practices of applying good scientific methods, mainstream is distinguished from pseudoscience as a demarcation problem and specific types of inquiry are debunked as junk science, cargo cult science and scientific misconduct etc.

By applying conventional cost-estimating techniques, he concluded that it would cost more than a billion US Dollars to develop this distribution by conventional proprietary means.

By 1917 Finland had experienced rapid population growth, industrialization, improvements in the economy and standard of living, and the rise of a comprehensive labor movement ; economic, social, and political divisions were deepening while the Finnish political system was in an unstable phase of democratization and modernization.

By 1995, a billion cubic meters of the gas had been collected and the reserve was US $ 1. 4 billion in debt, prompting the Congress of the United States in 1996 to phase out the reserve.

By 1989 there were signs of a revival of the overseas construction market — the Dong Ah Construction Company signed a US $ 5. 3 billion contract with Libya for the second phase of Libya's Great Man-Made River Project, which, when all five phases were completed, was projected to cost US $ 27 billion.

By Liouville's theorem, Hamiltonian flows preserve the volume form on the phase space.

By 1936, the transition phase arguably ends, with Modern Times being the last notable silent film.

* By viewing the phase itself as conveying the information, in which case the demodulator must have a reference signal to compare the received signal's phase against ; or

* By viewing the change in the phase as conveying information — differential schemes, some of which do not need a reference carrier ( to a certain extent ).

By the late autumn of 1944, Soviet forces had ushered in a second phase of Soviet rule on the heels of the German troops withdrawing from Estonia, and followed it up by a new wave of arrests and executions of people considered disloyal to the Soviets.

By altering only the phase control, you can shift the pitch or apply FM synthesis distortions to an existing sound.

By appropriate choice of the relationship between these parameters, it is possible to introduce a controlled phase shift between the two polarization components of a light wave, thereby altering its polarization.

By mid-morning the first phase of the attack was a success with nearly all objectives taken, a gap also being made in the German defences.

By choosing porous graphitic carbon as a stationary phase for liquid chromatography, even non derivatized glycans can be analyzed.

By redefining the phase of the wavefunction in time,, the amplitudes for being at different locations are only rescaled, so that the physical situation is unchanged.

By 1938, Germany " had entered a new radical phase in anti-Semitic activity.

By slowly changing the frequency of the carrier broadcast from the station and comparing this with the phase of the signal being returned, ground control could measure the distance to the vehicle very accurately.

By adjusting the bias with respect to group and phase delay the overall distortion of high frequency signals is also greatly reduced.

By doing so, the Younger may reveal information that would be useful during the trick-taking phase, called the play.

By the end of Ronald Reagan's presidential administration, Christian Right organizations were generally in a phase of decline.

By the early 1960s, C Brewer had decided to phase out all of the camps and move homes and other structures to Pahala.

By the early 1960s, the second phase was completed, this one spanning between Jonathan Drive and Walter Boulevard.

By the " Metaphysical " phase, he referred not to the Metaphysics of Aristotle or other ancient Greek philosophers.

By the last phase of " Commando Hunt " ( October 1970 – April 1972 ), the average daily number of U. S. aircraft flying interdiction missions included 182 attack fighters, 13 fixed-wing gunships, and 21 B-52s.

By comparing the phase of the received signal with the one being broadcast omnidirectionally, the angle can be determined using simple electronics.