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 this distance and other photographs, more information about the object, including its orbital elements, can be obtained .< ref >

Using this binding mechanism, an antibody can tag a microbe or an infected cell for attack by other parts of the immune system, or can neutralize its target directly ( for example, by blocking a part of a microbe that is essential for its invasion and survival ).

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 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.

" Freedom of contract is a qualified and not an absolute right ...," Hughes declared in upholding an Iowa law that voided contracts limiting the legal rights of railroad workers: The state may " interfere where the parties do not stand upon an equality ...." Using similar reasoning, the associate justice upheld a California law that mandated a forty-eight-hour work-week for women in various industries and allowed a federal statute to override a contract between an interstate railroad and its employees.

Using its authority under Section 5 of the FTC Act, which prohibits unfair or deceptive practices, the FTC has brought a number of cases to enforce the promises in corporate privacy statements, including promises about the security of consumers ’ personal information.

Using the data collected by Vesto Slipher and his ( Hubble's ) assistant Milton Humason ( a former mule-driver and janitor ), Hubble and Humason found a direct relationship between a galaxy's distance and its relative speed away from the solar system.

Using their E-REV ( Extended-Range Electric Vehicle ) powertrain technology, the Hummer plug-in hybrid would run up to 40 miles per day on its battery alone, then a small 4-cylinder internal combustion engine would start to generate more electricity.

Using a telescope, Rømer observed the motions of Jupiter and one of its moons, Io.

Using its divided upper lip, an adult manatee will commonly eat up to 10 % of its body weight ( about 50 kg ) per day.

Using them its simple to send individually controlled copies of your film to various recipients with different expiry dates.

Using its dichromatic color vision, it can detect predators from a great distance and then alert other prairie dogs to the danger with a special, high-pitched call.

Using the explicit continued fraction expansion of e, one can show that e is not a Liouville number ( although the partial quotients in its continued fraction expansion are unbounded ).

Using methods that would not become common in Biblical scholarship until the nineteenth century, Paine tested the Bible for internal consistency and questioned its historical accuracy, concluding that it was not divinely inspired.

) Using the customary international law principle of a nation's right to protect its natural resources, President Truman in 1945 extended United States control to all the natural resources of its continental shelf.

" Using offshore bank accounts, third-party agents and deceptive pricing practices, these companies AG, its subsidiaries and affiliates saw foreign bribery as a way of doing business ," said Mythili Raman, a principal deputy in the Justice Department ’ s criminal division.

Using overhead wires to feed electricity to the trams, this network continued to expand so greatly & profitably that when the MMTB was established in July 1919 Alex Cameron was appointed its full-time chairman.

Using his experience with explorative travel, Dias helped in the construction of the São Gabriel and its sister ship, the São Rafael that were used by Vasco da Gama to circumnavigate the Cape of Good Hope and continue the route to India.

Using its 0. 30 cal light-gas gun and powder gun, the AVGR can launch projectiles to velocities ranging from.

Using these coefficients gives the Taylor polynomial of f. The Taylor polynomial of degree d is the polynomial of degree d which best approximates f, and its coefficients can be found by a generalization of the above formulas.

Using this technique, each user program can be moved (" relocated ") in main memory by the operating system, as long as the RA register reflects its position in memory.

Using a solar roof, solar cells can provide electric power.

Using the thumb as the power finger, the disc is drawn from the thigh area ; rear-wards and up from behind the body ; to over the shoulder ; releasing towards a forward aimpoint.

Using the ratio test it is possible to show that this power series has an infinite radius of convergence, and so defines e < sup > z </ sup > for all complex z.

Using now the power series definition from above we see that for real values of x

Using direct action, Greenpeace has protested several times against coal by occupying coal power plants and blocking coal shipments and mining operations, in places such as New Zealand, Svalbard, Australia, and the United Kingdom.

Using this and the known moment of inertia of the flywheel, the computer is able to calculate speed, power, distance and energy usage.

Using his new power, Luthor draws Superman to him, attempting to drive Superman mad by forcing him to experience the human emotions that he believes the alien merely fakes to blend in.

Using ideas about power and subjectification first broached by Michel Foucault in Discipline and Punish, and the linguistic theories of J. L. Austin, Butler argued that sex was an effect rather than the cause of social gender difference, and that the fiction of a stable core gender identity was maintained through socially coerced performances of gender.

Using this mobile innovation, he was able to practice the tea ceremony wherever he went, powerfully projecting his unrivaled power and status upon his arrival.

Using the formula above, we can calculate the amount of power that needs to be generated, at least given extremely efficient heat transfer: P =

Using the cutback technique, the power transmitted through a fiber of known length is measured and compared with the same measurement for the same fiber cut to a length of approximately.

Using the expression for power, P = V < sup > 2 </ sup >/ R, the power gain is:

" Using a 50 power refracting telescope that he designed himself, Huygens also discovered the first of Saturn's moons, Titan.

" Using this power, she continually undermines Cardinal Wolsey ( Anthony Quayle ), who at first sees Anne as just a passing love interest for the King.

Using their position as outsiders, Turkish youth are able to create a subculture only accessible to those on the ‘ inside .’ By flaunting cultural ‘ otherness ’ Cartel is able to evoke a power and visibility normally not associated with the minority status of Turks in Germany.

Using this power to great advantage, the Mule conquers planets simply by visiting them in force, with his own army, instilling the inhabitants with great fear, then again with great loyalty to himself.

Using that PPP rate, an amount of money thus has the same purchasing power in different countries.

Using sensors and pumps, a relatively small amount of energy ( i. e. that used to power a pump and controller ) can harvest a far larger amount of available thermal energy by switching on as soon as a useful temperature differential becomes present.

Using OOP makes a significant difference in gearing choice as each rider has the full mass of the tandem in their power stroke, so lower gears are preferred.

Using his power of control over the cerebrum ( and thereby actions ) of anyone, he gathered an army of thousands, only to come into conflict with Steve Rogers in his identity of Captain America.

Using his power and wealth, he drove Toki Yorinari out of Mino Province in a coup d ' état in 1542, and claimed the region as his own, becoming a daimyo in his own right.

Using water power from the streams, mills manufactured lumber, barrel staves, shingles, chair parts, bobbins, whip sockets, hosiery, bricks and washboards.

Using power tools without hearing protection over a long period of time can put a person at risk for hearing loss.

Using a figure of 178, 000 TW of solar power hitting the Earth's surface ( see Earth's energy budget ), the total photosynthetic efficiency of the planet is 0. 84 % to 1. 26 %, making nature a 0. 8 Kardashev scale civilization.