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 his hypnotic powers, Tyro returns to Neptune with Maria where he makes her his princess.

Using various modifiers, the activity of the enzyme can be regulated, enabling control of the biochemistry of the cell as a whole.

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 them in combination with other preservative techniques can effectively control spoilage bacteria and other pathogens, and can inhibiting the activities of a wide spectrum of organisms, including inherently resistant Gram-negative bacteria.

Using a control interface similar to the industry standard Steenbeck flatbed controller, Lightworks was designed to be a non-linear editing system.

Using categories, he offers specific examples of both mild and extreme mind control ( both one on one and in groups ), notes the conditions under which each social rule is most easily exploited for false ends, and offers suggestions on how to resist such methods.

Using the castles that remained in English control he gradually began to retake Wales while cutting off trade and the supply of weapons.

Using a general-purpose computer for process control required protecting the computer from the plant floor conditions.

Using vector control and strict vaccination programs, the urban cycle of yellow fever was nearly eradicated from South America.

Using this technology it is possible to control the combustion rate of the waste and therefore reduce the air pollutants produced in the process.

Using wireless sensor networks to monitor water levels inside the tower allows municipalities to automatically monitor and control pumps without installing and maintaining expensive data cables.

Using the German press, which was under Allied control, as well as posters and pamphlets, a program was conducted to acquaint ordinary Germans with what had taken place in the concentration camps.

Using computer-based analytic methods Nigrini's wider goal is the detection of fraud, errors, anomalies, inefficiencies, and biases which refer to people gravitating to certain dollar amounts to get past internal control thresholds.

Using PB GRAPHIC statements, a GRAPHIC ( WINDOW, BITMAP or control ) is first selected as the current GRAPHIC target, then operations are done on it without requiring it to be identified again.

Using control species is often considered as more enivronmentally friendly method with compared with using pesticides.

Using ten orichalcum beads at a time would enable them to control the water with the powers they gained, keeping the sea level down to prevent an impending catastrophe.

Using voter intimidation, white Democrats took control of the state legislature by the end of the century ; they passed state electoral laws and a new constitution that essentially disfranchised most blacks, a situation that lasted until the federal legislation of the 1965 Voting Rights Act.

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 factor analysis on data from 3-12 month old children, three broad factors emerged and were labelled surgency / extraversion, negative affect, and effortful control.

Using his considerable knowledge of hydraulics, he built a sophisticated cultivation system, including channels and locks, to control the tides.

Using these models, ecologists have tested various types of ecological control mechanisms.

Using control points ( automatically or manually entered ), the computer performs transformations on one image to make major features align with a second image.

Using the Control key with either lowercase < tt > c </ tt > or uppercase < tt > C </ tt > will generate the same ASCII code on a teletypewriter because holding down the control key grounds ( zeros the voltage on ) the 2 wires used to carry the leftmost 2 bits from the keyboard.

Using first the multi-national AIA, then the " Committee for Studies of the Upper Congo " (), and finally the International Association of the Congo (), Leopold secured control of most of the Congo basin.

Using Wirewolf and XL, he briefly usurped control of Planet Z from Zurg and attempted to transform everyone in the galaxy into robots for him to feed on, but was defeated and destroyed.