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 the time of the Odyssey the island was already famous as the birthplace of the twin gods Apollo and Artemis.

By Asteria or Asterodia, Phocus had twin sons, Crisus and Panopeus.

By the time Theseus returned to Athens, the Dioscuri ( Helen's twin brothers Castor and Pollux ) had taken Helen back to Sparta ; they had taken captive Aethra and Physadeia, the sister of Pirithous, who became handmaidens of Helen and later followed her to Troy.

By his wife Argia, daughter of King Autesion of Thebes, he was the father of twin Kings Eurysthenes and Procles, the ancestors of the two royal houses of Sparta.

By the end of the year, Cassius ' army had reached the twin metropolises of Mesopotamia: Seleucia on the right bank of the Tigris and Ctesiphon on the left.

By using the vessel's twin screws, captains can move the vessels away by using one engine to push the vessel from the stage and the rudders and other engine to point it into the correct direction.

By comparison, a twin screw or roots blower which is nested in the center ( valley ) of the engine, will absorb heat ( heat soak ) during operation due to thermal transfer from the engine block and heads.

By the 1960s, rudderless jetboats powered by twin or triple 280-horsepower engines, began to replace propeller-driven boats.

By year ’ s end, Cassius had travelled to the south and crossed Mesopotamia at its narrowest point and proceeded to attack the twin Parthian cities on the Tigris river, Seleucia on the right bank, and Ctesiphon, the Parthian capital, on the left.

By 1972, the muscle car era was unmistakably in decline due to the twin blows of rising insurance rates and soaring gas prices.

By simultaneously impersonating a duty-bound and an evil twin sister, Rökk was able to act out her entire theatrical talent, accompanied by several dance interludes which were quite revealing at that time.

By 904, he had exerted control over both of the twin Tang Dynasty capitals of Chang ' an and Luoyang.

By sounding the counter-revolutionary alarm, it would be a call to ‘ loyal workers ’ against the twin threats of socialism and republicanism.

By 1942, the German He 177A Greif heavy bomber would feature a Fernbedienbare Drehlafette FDL 131Z remotely operated forward dorsal turret, armed with twin 13mm MG 131 machine guns on the top of the fuselage, which was operated from a rotating " astrodome " just behind the cockpit glazing — a second, manned dorsal turret, further aft on the fuselage was also used on most examples.

By World War II, these had been superseded by twin Rayleigh trumpets.

( A 1903 example can be seen at the Gilmore Car Museum in Hickory Corners, MI ) By 1904 the runabout, a tube chassis 6 hp ( 4. 5 kW ) flat twin buggy runabout victoria, was called the Model L. It had a flat-mounted water-cooled straight twin, situated amidships of the car, four speed gearbox ( three forward, one reverse ), wire wheels, full-elliptic springs, and tiller steering.

By now, a harried Bhavani has developed hatred for twin as well.

By this time he had married Mary Tunstall, an English geographer and in addition to a young daughter Naomi had identical twin sons, Dan and Hugh.

By the end of 2010, the twin sectors of digital activities and high-growth emerging countries represented one-half of Publicis Groupe's total revenue.

By the early Imperial era, they had become paired divinities, probably through the influences of Greek religion – in particular, the heroic twin Dioscuri – and the iconography of Rome's semi-divine founder-twins, Romulus and Remus.

By 1945, MGB 658 carried two power-mounted QF 6-pounders in the A and Y turret positions, a twin 20 mm Oerlikon cannon in the X turret position, a single 20 mm Oerlikon on either side forward of the bridge and two twin. 303 Vickers machine guns on the bridge wings.

By contrast, a building comprising two attached units on two distinct properties is typically considered semi-detached or twin homes but may also be referred to as a duplex.