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 particles, Feynman meant objects which travel along paths, elementary particles in a field theory.

By the middle of the 19th century, industrialisation swept away most of the city's medieval rules of production and commerce, although the entirely corrupt remains of the city's mediæval constitution was kept in place ( compare the famous remarks of Georg Forster in his Ansichten vom Niederrhein ) until 1801, when Aachen became the " chef-lieu du département de la Roer " in Napoléon's First French Empire.

Additional milieu were provided by Chaosium with the release of Dreamlands, a boxed supplement containing additional rules needed for playing within the Lovecraft Dreamlands, a large map and a scenario booklet, and Cthulhu By Gaslight, another boxed set which moved the action from the 1920s to the 1890s.

By rules, place bets are NOT working on the come out roll but can be " turned on " by the player.

By the age of Augustus, poets like Virgil closely adhered to the rules of the meter and approached it in a highly rhetorical way, looking for effects that can be exploited in skilled recitation.

By the completeness theorem of first-order logic, a statement is universally valid if and only if it can be deduced from the axioms, so the can also be viewed as asking for an algorithm to decide whether a given statement is provable from the axioms using the rules of logic.

By sorting formulas according to the number of atoms of each element present in the formula according to these rules, with differences in earlier elements or numbers being treated as more significant than differences in any later element or number — like sorting text strings into lexicographical order — it is possible to collate chemical formulas into what is known as Hill system order.

At the end of the first book, he offers his views on providence, writing, " By his Power God cherishes and guards the World which he made and by his Providence rules its individual Parts.

By the same rules that the Passover was, by the same may ours be termed a sacrifice.

By the 1930s, many revisions of the rules developed that were substantially different from Babcock's classical version ( including some that were considered fundamentals in other variants, such as the notion of a standard hand ).

By traditional rules, women are most often told to occupy the rows behind the men.

By modern pronunciation rules, the phrase could be written " Elinikí Dimokratía ".

By the later 17th century, however, English dramatists ( under the influence of French criticism picked up by those in exile during the English Interregnum ) did begin to assess their own plays according to these rules.

By the late 19th century an elaborate and rigid set of rules detailing the laws of the game, its etiquette and the techniques of play, had been developed that took a large amount of study to master.

By the year 2000, some completely new bidding systems had evolved, including " Precision Club " and " 2 / 1 Game Forcing " which, although still relying on point-count rules for hand evaluation, are otherwise substantial departures from the early Goren system.

By rules of use, it is meant that indexicals can tell you when they are used, but not what they actually mean.

By this analogy, it is suggested, the experience of free will emerges from the interaction of finite rules and deterministic parameters that generate nearly infinite and practically unpredictable behaviourial responses.

By extension, assuming that the labels assigned to subjects are truly representative of their trustworthiness, then the no-read-up and no-write-down rules rigidly enforced by the reference monitor are provably sufficient to constrain Trojan horses, one of the most general classes of attack ( sciz., the popularly reported worms and viruses are specializations of the Trojan horse concept ).

By the above rules of calculus,

By contrast, the BAFTA Award for Best Film Not in the English Language is personally awarded to the producers and director — that award's rules specifically state that the nomination is limited to a maximum of three producers plus the director ( s ).

By the 1930s, similar sports with different rules and names were being played all over the United States and Canada.

By the end of the twentieth century, however, all of these rules had been abolished one by one, so that appointment is now a matter of status and prestige only, with no formal disadvantages.

By 1866 several other clubs had also adopted an updated version of Melbourne's rules ( which were drafted by H. C. A.

By her divorce on 30 May 1996 she retained the style Her Royal Highness with the style of other divorced peeresses, eliminating the preface " The " before " Duchess of York "; however in August 1996, Letters patent were issued with general rules to regulate royal titles after divorce.

By changing the way they paint, apply colour, texture, perspective, or the way they see shapes and ideas, the artist establishes a certain set of " rules ".

By the 1630s, the king was waiving the usual rules to enable promotion to higher ranks on a shorter timescale, and having to pay significantly inflated salaries to get grandees to take up even these appointments.