for revolution around the y-axis ( Using a ≤ y ≤ b ).

Using a shifted line ( in y ) gives the same projection and therefore the same 1D Fourier transform.

Using the convenience that Laplace transforms follow the rules of linearity, one can solve the above example for y by performing a Laplace transform on both sides of the differential equation, substituting in the initial values, solving for the transformed function, and then performing an inverse transform.

Using point plotting, one associates an ordered pair of real numbers ( x, y ) with a point in the plane in a one-to-one manner.

Using rotated versions of this segment, one can measure distances along the x and y axes.

Using their feminine skills of the time, they made homespun cloth and other goods.

Using the identity | u |< sup > 2 </ sup > = uu < sup >*</ sup > we can rewrite this as

Using "-" for a long syllable, " u " for a short and " x " for an " anceps " ( or free syllable ):

Using the ILO Classification system, " s ", " t ", and / or " u " opacities predominate.

Using Bloch's theorem, we only need to find a solution for a single period, make sure it is continuous and smooth, and to make sure the function u ( x ) is also continuous and smooth.

Using elementary properties of the symplectic form ω, one can show that a compatible almost-complex structure J is an almost Kähler structure for the Riemannian metric ω ( u, Jv ).

Using epigraphic evidence Salomon has established that the vowel order is a e i o u, rather than the usual vowel order for Indic scripts a i u e o.

Using Hua-t ' o's methods of treatment, many people were completely cured by Wu P ' u.

Using Descartes ' rule of signs, there can be at most one negative root ; u < sub > 1 </ sub > is negative if and only if b < a.

< u > Connecting Sciences Using Graphonomlc Research </ U >

Using AEM7 locomotives and former Metroliner m. u.

Using this essay as his guideline, Howard began plotting " The Tower of the Elephant ", a new Conan story that would be the first to truly integrate his new conception of the Hyborian world.

* Using the first letter (" SOB ", " What the eff ", " BS ").

* Using a positive context (" Inspired by " instead of " ripped off of " or " plagiarized ", " streamlining the workforce " for " laying off / firing ( workers )").

* Using the word " bleep " ( an onomatopoea for the censored tone ), a common word like " sofa ", or even the word " profane " or " euphemism ", to replace profanity.

Using the name " Edgar A. Perry ", he claimed he was even though he was 18.

* Using solar energy and in-situ resource utilization to avoid or minimize the expensive task of shipping components and fuel up from the Earth's surface, against the Earth's gravity ( see " Using non-terrestrial resources ", below ).

Using an example of " 75 % effective ", an article in American Family Physician explains the effectiveness calculation thus: ... these numbers do not translate into a pregnancy rate of 25 percent.

Using vernacular language that would be understandable to the majority of China's populace, he put forward his socialist political views, calling for revolution against the government ; in one notable article, he proclaimed the need for a " Great Union of the Popular Masses ", but failed to put forward an expressly Marxist analysis of how that revolution should proceed.

Using the nomenclature of " hapticity ", the equivalent bonding of all 5 carbon atoms of a cyclopentadienyl ring is denoted as η < sup > 5 </ sup >, pronounced " pentahapto.

Using the slogan " Independence or Death ", López declared war against Rosas in 1845 to support what was ultimately an unsuccessful rebellion in the Argentine province of Corrientes.

* ( VEW04 ) " Using a Decompiler for Real-World Source Recovery ", M. Van Emmerik and T. Waddington, the Working Conference on Reverse Engineering, Delft, Netherlands, 9 – 12 November 2004.

Using Starsha's blueprints, they equip the new ship with a space warp drive, called the " wave motion engine ", and a new, incredibly powerful weapon at the bow called the " Wave Motion Gun ".

Using a random number c from a uniform distribution as the probability density to " pass by ", we get

Using the eggbeater, swimmers can also perform " boosts ", where they use their legs to momentarily propel themselves out of the water to their hips or higher.

Using a substitution method similar to the Navajo, the Comanche code word for tank was " turtle ", bomber was " pregnant airplane ", machine gun was " sewing machine " and Adolf Hitler became " crazy white man ".

Using the pretext of " receiving the Japanese surrender ", business interests within the KMT government occupied most of the banks, factories and commercial properties, which had previously been seized by the Imperial Japanese Army.

" Remote Physiological Monitoring Using a Microwave Interferometer ", Biomed Sci Instr 3: 291 – 307, 1967.

Using European standards, they condemned the Indians for living in a " wilderness ", for worshipping false gods or no God at all, and for having no written laws, standing armies, forts, or churches.

Using a cheap brush, coat one side of the bottom with the resin and then apply the cloth.

Using a steering system that controlled the modified rocket's tail surfaces and wings equipped with ailerons, Fiedler was to land the missile on a skid especially bolted under the fuselage.

Using a wide stage resourcefully he mingled music and dance with Shakespeare's words in a spirited mixture.

Using kinship terms in political speeches increased audience agreement with the speaker in one study.

Using visual imagery of a soroban, one can arrive at the answer in the same time as, or even faster than, is possible with a physical instrument.

Hence S breaks up into uncountably many orbits under G. Using the axiom of choice, we could pick a single point from each orbit, obtaining an uncountable subset X of S with the property that all of its translates by G are disjoint from X.

Using Bayesian phylogeographic analysis, evolutionary biologists have proposed that the Indo-European language expansion coincided with the migration of Anatolian farmers occurring about 9000 years ago.

Using the once popular vortex theory of gravity, the possibility of matter with negative gravity was discussed by William Hicks in the 1880s.

Using his excellent knowledge of Greek, which was then rare in the West, to his advantage, he studied the Hebrew Bible and Greek authors like Philo, Origen, Athanasius, and Basil of Caesarea, with whom he was also exchanging letters.

Using as a pretext the insulting behavior of a few Tlatelolcan citizens, Axayacatl invaded his neighbor, killed its ruler, Moquihuix, and replaced him with a military governor.

Using modern full capacity firearms, a shooter can fire more shots with greater accuracy using a single gun in a two-handed grip than two guns with one-handed grips.

Using pharmacogenomics, pharmaceutical companies can create drugs based on the proteins, enzymes and RNA molecules that are associated with specific genes and diseases.

Using the techniques of modern biotechnology, one or two genes ( Smartstax from Monsanto in collaboration with Dow AgroSciences will use 8, starting in 2010 ) may be transferred to a highly developed crop variety to impart a new character that would increase its yield.

Using braille translation software, a document can be embossed with relative ease, making braille production much more efficient and cost-effective.

* R. E. Bryant, S. M. German, and M. N. Velev, Microprocessor Verification Using Efficient Decision Procedures for a Logic of Equality with Uninterpreted Functions, in Analytic Tableaux and Related Methods, pp. 1 – 13, 1999.

Using Flynn's taxonomy, these two schemes of dealing with data are generally referred to as SIMD ( single instruction, multiple data ) and SISD ( single instruction, single data ), respectively.

Using numeric references that refer to permanently undefined characters and control characters is forbidden, with the exception of the linefeed, tab, and carriage return characters.

Using this population density as a base for calculation, and allotting 10 % of food towards surplus for trade and assuming that city dwellers do no farming, he calculates that " in order to maintain a city with a population of 1, 000, and without taking the cost of transportation into account, an area of 100, 000 square kilometers would have been required.

Using the same coloring scheme of the traditional Chinese dice, every half-domino with 1 or 4 spots has those spots colored red ( for example, the 4-5 domino has four red spots and five white spots ).

Using the one-point compactification, one can also easily construct compact spaces which are not Hausdorff, by starting with a non-Hausdorff space.

Using these coordinates, the motion along the path is viewed as a succession of circular paths of ever-changing center, and at each position s constitutes non-uniform circular motion at that position with radius ρ.

Using the probabilistic method it is easy to show that extractor graphs with really good parameters exist.

* Using a less harsh term with similar meaning.

* Using an Agile Software Process with Offshore Development – ThoughtWorks ' experiences with implementing XP in large distributed projects