Suggest the following twenty-first-century amendment: By moving the term `` Republic '' to lower case, substituting the modern phrase, `` move ahead '' for the stodgy `` keep '', and by using the Postmaster's name on every envelope ( in caps, of course, with the `` in spite '' as faded as possible ), the slogan cannot fail.

By using the appropriate version any one of these factors can be determined for any combination of the other three.

By using instruments of gradually increasing size, the vagina is gently, and with minimum pain at each stage, taught to yield to an object of the appropriate shape.

By 1827 Laplace was using least

By comparing the form of several yupanas, researchers found that calculations were based using the Fibonacci sequence 1, 1, 2, 3, 5 and powers of 10, 20 and 40 as place values for the different fields in the instrument.

By night, an aardwolf can consume up to 200, 000 harvester termites using its sticky, long tongue.

By using the palette to mask the top area of the display and taking care about when it changes mode it can shift the continuous graphics at the bottom of the display down in two pixel increments because the internal display counter is not incremented on blank scanlines during non-continuous graphics modes.

By using the formula

By the Roman period brass was being deliberately produced from metallic copper and zinc minerals using the cementation process and variations on this method continued until the mid 19th century.

By comparison to biotechnology, bioengineering is generally thought of as a related field with its emphasis more on higher systems approaches ( not necessarily altering or using biological materials directly ) for interfacing with and utilizing living things.

By the late 1920s, New York writers other than Fitz Gerald were starting to use " Big Apple " and were using it outside of a horse-racing context.

By the mid-1980s at least 500 courses in business ethics reached 40, 000 students, using some twenty textbooks and at least ten casebooks along supported by professional societies, centers and journals of business ethics.

By 1000 BC ancient civilizations were using technologies that formed the basis of the various branches of chemistry such as ; extracting metal from their ores, making pottery and glazes, fermenting beer and wine, making pigments for cosmetics and painting, extracting chemicals from plants for medicine and perfume, making cheese, dying cloth, tanning leather, rendering fat into soap, making glass, and making alloys like bronze.

By using custom formatting and load / save routines ( sometimes included in third-party DOSes, see below ), all of the mechanically possible 40 tracks could be used.

By the early 1990s, the performance of microprocessor-based computers reached the point that real-time generation of computer music using more general programs and algorithms became possible.

By using the commutator as a Lie bracket, every associative algebra can be turned into a Lie algebra.

By a strange twist of their respective fates, this foursome ends up partnering together, using their unique talents to become a ragtag team of bounty hunters, although their fortunes as such are at best mixed.

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

By reducing the number of tracks used ( and thus the capacity ), Commodore could further reduce cost-in contrast to the double-density drives used e. g. in IBM PCs of the day which saved 180 KB on one side ( by using a 40-track format ).

By the time of the Vietnam War, IDs spelled out the broad religious choices such as PROTESTANT and CATHOLIC, rather than using initials, and also began to show individual denominations such as " METHODIST " or " BAPTIST.

By 1695 he was back in England, now formally using the name " Defoe ", and serving as a " commissioner of the glass duty ", responsible for collecting taxes on bottles.

By contrast, non-digital ( or analog ) systems represent information using a continuous function.

By using doublespeak in advertisements, aspirin production rose by almost 50 percent from over 23 million pounds in 1960 to over 35 million pounds in 1970.

By the 12th to 13th centuries A. D., monks were preparing illuminated manuscripts on vellum and parchment in monasteries throughout Europe and were using lead styli to draw lines for their writings and for the outlines for their illuminations.

By direct substitution, the solution to this equation can be readily shown to be the scalar Green's function, which in the spherical coordinate system ( and using the physics time convention ) is:

By contrast, the point z < sub > 0 </ sub > is called a logarithmic branch point if it is impossible to return to the original function element by analytic continuation along a curve with nonzero winding number about z < sub > 0 </ sub >.

By applying a negative feedback ( simply joining the base and collector ) the transistor can be " reversed " and it will begin acting as the opposite logarithmic current-to-voltage converter ; now it will adjust the " output " base-emitter voltage so as to pass the applied " input " collector current.

By this formulation, stars with a higher metallicity than the Sun have a positive logarithmic value, while those with a lower metallicity than the Sun have a negative value.

By the European Middle Ages, over a dozen predominant ethnic identities had emerged on the island, typified by rule under a local chieftain.

By applying the divergence theorem in various contexts, other useful identities can be derived ( cf.

By " ideas " constructivists refer to the goals, threats, fears, identities, and other elements of perceived reality that influence states and non-state actors within the international system.

By using some vector calculus identities, these equations can be shown to result in Laplace's equations for the pressure and each of the components of the vorticity vector:

By contrast, other groups have embraced the hyphen, arguing that the American identity is compatible with alternative identities and that the mixture of identities within the United States strengthens the nation rather than weakens it.

By this time, both Chan and Lau are struggling with their double identities – Chan starts losing faith in himself as a cop after being a gangster for ten years ; Lau becomes more accustomed to the life of a police officer and he wants to erase his criminal background.

By imposing additional conditions ( in form of suitable identities ) on these operations, one can then indeed derive the underlying partial order exclusively from such algebraic structures.

By March 1971, NBC shortened the title to simply Somerset and reverted AW to its original title, separating the two shows ' identities and slowly phasing out the crossover characters by February 1972.

By the principle of duality, the closure operator satisfies the identities:

By definition, these maps satisfy the following simplicial identities:

By the periodicity identities we can say if the formula is true for then it is true for all real θ.

By 1910 it was clear that the Home Section and the Foreign Section would seek their own identities, and Kell's department, the Security Service separated from Cummings ' Secret Intelligence Service.

By 1950, French-occupation authorities had let up enough to allow the clubs to reclaim their old identities.

By using blogs and expressing opinions, they define more tacit identities.

By the end of the 1980s, British Rail's various business units were developing their own individual brands and identities with use of Rail Alphabet declining as a consequence.

By posing as Bruce Wayne, Elliot initially believes himself to be untouchable by Wayne's children, as he can now claim control of Wayne Enterprises, as well as knowing the true identities of the Bat-Clan.

By providing a highly secure way to validate, trust, and manage identities of unknown participants in an Internet transaction, the SAFE-BioPharma Bridge Certificate Authority ( SBCA ) is essential to helping achieve the speed, efficiency and cost-savings inherent in use of the Internet for business transactions.

By combining larger classes of modular identities, Webb and others showed that the fraction of n in the interval that can be counterexamples to the conjecture tends to zero in the limit as N goes to infinity.