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 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 27th century BC Egyptian writing had a set of some 24 hieroglyphs which are called uniliterals, to represent syllables that begin with a single consonant of their language, plus a vowel ( or no vowel ) to be supplied by the native speaker.

By classical Greece and Rome, the reduction of words to single letters was still normal, but can default.

By the time of the war, they fielded the SdKfz 10 / 4 and 6 / 2, cargo halftracks mounting single 20 mm or 37 mm AA guns ( respectively ).

By contrast, Judaism sees God as a single entity, and views trinitarianism as both incomprehensible and a violation of the Bible's teaching that God is one.

By contrast, if the same historian had made the same claim five times in five different places ( and no other types of evidence were available ), the claim is much weaker because it originates from a single source.

By March 1963 however, after the visit of Colonel Michael Greene of the United States Army, and the resulting ' Greene Plan ,' the pattern of bilaterally agreed military assistance to various Congolese military components, instead of a single unified effort, was already taking shape.

By contrast, nouns have no distinct nominative and objective forms, the two being merged into a single plain case.

By contrast, for higher frequency radiations at ultraviolet frequencies and above ( i. e., X-rays and gamma rays ) the damage to chemical materials and living cells by EMR is far larger than that done by simple heating, due to the ability of single photons in such high frequency EMR to damage individual molecules chemically.

By the end of 2006 The Egyptian Lover went into the studio with Jamie Jupiter and recorded " UFO " and " Futuristic " for Jupiter's new 12 " single ( never released ).

By definition, it is the amount of energy gained by the charge of a single electron moved across an electric potential difference of one volt.

By substituting these three verbs, even without clarifying morality ( ought, shall, should, must ) or the actor ( s ) who do or did something, becomes / remains / equals makes clear what time frame of relationship is asserted, and disallows assuming one stable past / present / future timeline-known as single scenario planning or blind linearity and considered a grave error in risk analysis.

By joining the single arrows together and the double arrows together, one obtains a torus with seven mutually touching regions ; therefore seven colors are necessary

By 2006, such was the confusion from these multiple Acts, each amending the others ( and not all of which were ever actually commenced and thus were in the public record but not enforced as actual legislation ); and the amendments of Irish firearms legislation by other Acts ranging from the Wildlife Acts ( mostly relating to hunting law ) to the Road Traffic Acts ( relating to how and where firearms could be transported ) and others ; the large amount of secondary legislation ( Statutory Instruments, which set out regulations, the design of application forms for licences and so forth, as well as the details of when various parts of the Acts came into force ); as well as the introduction of EU firearms law into the canon of Irish legislation ; led the Irish Law Reform Commission to recommend that all the extant legislation be restated a legal process by which all the existing primary and secondary legislation would be read as one and a single document produced as the new Firearms Act ( and all prior Acts would be repealed ).

By 64 BC, Julius Caesar's legions had established their occupation, and the Romans had thus unified all three regions of Libya ( Tripolitania, Cyrenaica and northern Fezzan ) in one single new province called Africa proconsularis ( later Cyrenaica was separated administratively ).

By then all German tribes were united in a single kingdom.

By replacing the M1114, M1116, and earlier armored HMMWV types with a single model, the U. S. Army hopes to lower maintenance costs.

By summer 2003, most dual-band 802. 11a / b products became dual-band / tri-mode, supporting a and b / g in a single mobile adapter card or access point.

By 1866 he was " able to command ten to fifteen guineas for the reworking of a single Punch cartoon as a pencil sketch ", alongside his " comfortable " Punch salary " of about £ 800 a year ".

By the release of 1979's The Original Disco Man, Brown wasn't providing much production or writing, leading most of it to producer Brad Shapiro, resulting in the song " It's Too Funky in Here " becoming Brown's most successful single in this period.

By September 6, 1958, Jan & Arnie's third and final single, " The Beat That Can't Be Beat " backed with " I Love Linda " ( Arwin 113 ), again composed by the Berry, Ginsburg, and Altfeld team, was released.

By submitting a single query to KIS, a user can search a set of remote white pages services and see the results of the search in a uniform format.

By the time the final single " Wasting Time " was released the album had sold 7 million albums, Devil Without A Cause was certified 11 times platinum by the RIAA on April 17, 2003.

* 1965 – " It's Alright " / " Stay By Me " ( 7 " single )

" Musicologist Jean-Jacques Nattiez summarizes the relativist, post-modern viewpoint: " The border between music and noise is always culturally defined — which implies that, even within a single society, this border does not always pass through the same place ; in short, there is rarely a consensus ... By all accounts there is no single and intercultural universal concept defining what music might be.