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 way '', said Mr. Blatz, packing his tools into a battered carrier, `` them power tools needs extra voltage.

By comparing reaction cells sealed from the same manifold temperature dependency corresponding to activation energies ranging from 11 to 18 Af was observed while dependence on the first power of the light intensity seemed to be indicated in most cases.

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 " necessary connection ", Hume means the power or force which necessarily ties one idea to another.

By and large the power exercised by these officials was routine administration and quite limited.

By the late 19th century, improved instruments were designed which could be mounted in any position and allowed accurate measurements in electric power systems.

By eating the meat of the amphisbaena, one could attract many lovers of the opposite sex, and slaying one during the full moon could give power to one who is pure of heart and mind.

By one estimate, it has the fourth highest gross national income at purchasing power parity in Africa, giving it a standard of living around that of Mexico and Turkey.

By promoting integration through organizations like Mercosur and UNASUR, Brazil has been able to solidify its role as a regional power.

By the time Esther was written, the foreign power visible on the horizon as a future threat to Judah was the Macedonians of Alexander the Great, who defeated the Persian empire about 150 years after the time of the story of Esther ; the Septuagint version noticeably calls Haman a " bully " ( βουγαῖον ) where the Hebrew text describes him as an Agagite.

By the summer of 1944 the reversal of fortune was complete and Operation Bagration saw Soviet forces inflict crushing defeats on Germany through the aggressive use of armour, infantry and air power in combined strategic assault, known as deep operations.

By the mid-19th century, Bayonne had declined somewhat with the centralisation of power to Paris and to the new département capital, non-Basque Pau, after the 1789 French Revolution, and with Wellington's bombardment.

By the early 2000s, CPU designers were thwarted from achieving higher performance from ILP techniques due to the growing disparity between CPU operating frequencies and main memory operating frequencies as well as escalating CPU power dissipation owing to more esoteric ILP techniques.

By 1975 when the Khmer Rouge took power, it was estimated at 7. 3 million.

By 1967, when a military junta had seized power in Greece, the political impetus for enosis had faded, partly as a result of the non-aligned foreign policy of Cypriot President Makarios.

By contrast, in ceremonial monarchies, the monarch holds little actual power or direct political influence.

By contrast, Liechtenstein and Monaco are considered democratic states, yet the ruling monarchs in these countries wield significant executive power.

By far the most visible and obvious power of many modern central banks is to influence market interest rates ; contrary to popular belief, they rarely " set " rates to a fixed number.

By the time Confucius was 50 years old, the Ji family had consolidated their power in the Lu state over the ruling ducal house.

By the 1990s, the US had adopted the M4 carbine, a derivative of the M16 family which fired the same 5. 56mm cartridge but was lighter and shorter ( in overall length and barrel length ), resulting in marginally reduced range and power.

By 1970, a calculator could be made using just a few chips of low power consumption, allowing portable models powered from rechargeable batteries.

By all accounts, Mucianus held the real power in Vespasian's absence and he was careful to ensure that Domitian, still only eighteen years old, did not overstep the boundaries of his function.

By contrast, the EM far-field is composed of radiation that is free of the transmitter in the sense that ( unlike the case in an electrical transformer ) the transmitter requires the same power to send these changes in the fields out, whether the signal is immediately picked up, or not.

By a similar token, a fear of experts can arise from fear of an intellectual elite's power.

By this means, power dissipation in the active device is minimised, and efficiency increased.