Using newer and more powerful infrared telescope technology, able to detect brown dwarfs as cool as 150 kelvins out to a distance of 10 light-years from the Sun, preliminary results from the Wide-field Infrared Survey Explorer ( WISE survey ) have not, to date, detected Nemesis, although the analysis of the full survey is not yet complete.

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 numerical methods to simulate Solar System behavior, long-term changes in Earth's orbit, and hence its obliquity, have been investigated over a period of several million years.

Using Newton's law of universal gravitation, proving Kepler's Laws for the case of a circular orbit is simple.

Using orbital launchers to provide a reliable boost-phase defense against liquid-fueled ICBMs is not likely, as it was found to require at least 700 large interceptors in orbit.

Using formulae for orbital variations developed by Leverrier ( which had led to the discovery of Neptune ), Croll developed a theory of the effects of variations of the Earth's orbit on climate cycles.

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 with the property that all of its translates by G are disjoint from X and from each other.

Using traditional creationist reasoning, influential LDS leader Apostle Bruce R. McConkie came to a different conclusion, arguing that during the first " day " of creation ( not necessarily a 1000-year " day " in Kolob time ; with a " day " referring to a phase of creation ), the earth was formed and placed in orbit around the sun.

Using telescopes on Earth, the reflectors on the Moon, and accurate timing of laser pulses, by the early 2000s scientists could measure and predict the orbit of the Moon to an accuracy of a few centimeters.

Using this system, a nuclear warhead could be placed in low Earth orbit, and later de-orbited to hit any location on the Earth's surface.

Using its internal engines, the VF-17 can reach satellite orbit without FAST packs or extra booster rockets, much like later VFs including the VF-19 Excalibur and VF-22 Sturmvogel II.

Using classical mechanics, the solution can be expressed as a Kepler orbit using six orbital elements.

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 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 this method, error in the density calculation is less than 0. 2 % in the range of − 10 ° C to 50 ° C.

* Using the Build Up procedure for equity discount rate calculation.

Using manual focus, and on many compacts / bridge cameras, the AF point is not used as part of the exposure calculation, in such instances it is common for the metering to default to a central point in the viewfinder, using a pattern based on that area.

Using the MRT calculation, the fare will be NT $ 55 in the future, and will be support Easycard.

Using the Annuity2000 Merged Gender Mod 1 Life table with ages set back 2 years, a 3. 5 % annual salary increase and a 5. 0 % interest rate for calculation purposes, the current pension costs the employer — the taxpaying public — roughly 25. 4 % of salary per year for someone who starts work at age 30 and retires at age 55.

Using charts and tables that are not based on the same datum can result in incorrect calculation of water depths and should be avoided.

Using such a system still required several steps and mathematical calculation.

Using inputs such as input voltage, output voltage, output current, frequency, ambient temperature, and inductance these calculators can predict the losses of the inductors core and AC / DC based on the operating condition of the circuit being used.

Using periodic trends, the periodic table can help predict the properties of various elements and the relations between properties.

Using Le Chatelier's principle, we can predict that the amount of methanol will increase, decreasing the total change in CO.

Using the laws of mass action, it can predict the future, but only on a large scale ; it is error-prone on a small scale.

Using hydrophobicity analysis to predict transmembrane helices enables a prediction in turn of the " transmembrane topology " of a protein ; i. e. prediction of what parts of it protrude into the cell, what parts protrude out, and how many times the protein chain crosses the membrane.

Using all these information they predict the nature of communication.

Using all these measurements, scientists try to model and predict the exact location of the telescope, and the delays through the atmosphere, so they can compensate for them.

Using simulations to predict mechanical and electrical behavior of these devices can help optimize NEMS device design parameters.

Using this method either actual historical rainfalls or hypothetical " design storms " can be modeled mathematically to confirm characteristics of historical floods, or to predict a stream's reaction to a predited storm.

Using an electromagnetic seismometer for the detection and measurement of ground tremors, Palmieri was able to detect very slight movements in trying to predict volcanic eruptions.

Predicting PPIs: Using experimental data as a starting point, homology transfer is the most straightforward algorithm to predict interactomes.

* Forsythe, Robert ; Frank, Murray ; Krishnamurthy, Vasu ; Ross, Thomas W .: Using market prices to predict election results: the 1993 UBC election stock market.

Using only metallographic techniques, a skilled technician can identify alloys and predict material properties.

" 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 non-cooperation as a technique, Gandhi initiated a signature campaign where peasants pledged non-payment of revenue even under the threat of confiscation of land.

Using their flycycles, they try to reach the rim of the ring, where they hope to find some technology that will help them.

Using this process, investigators can create a profile of places where the serial killer and victim both frequent.

can be calculated from the specific impulse, I < sub > sp </ sub >, where ( when I < sub > sp </ sub > is in seconds and g < sub > n </ sub > is the standard, not local, acceleration of gravity ), Using the J-2 on the S-IVB as a baseline design, we have P = ( 1014 kN )( 414 s )( 9. 81 m / s < sup > 2 </ sup >)/ 2

Using Global Positioning System ( GPS ) technology as a reference, these antennas automatically re-aim to the satellite no matter where or how the vehicle ( on which the antenna is mounted ) is situated.

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 the above definition, it is useful to think of the function as a matrix ( called the input matrix ) where each row of the matrix corresponds to X and each column corresponds to Y.

Using the disintegration theorem we can define a restriction of Lebesgue measure to the-dimensional affine subspace of where the Gaussian distribution is supported, i. e..

Using Fibonacci numbers, he proved that when finding the greatest common divisor of integers a and b, the algorithm runs in no more than 5k steps, where k is the number of ( decimal ) digits of b. He also proved a special case of Fermat's last theorem.

Using Landau symbols, the worst case running time of CYK is, where n is the length of the parsed string and | G | is the size of the CNF grammar G. This makes it one of the most efficient parsing algorithms in terms of worst-case asymptotic complexity, although other algorithms exist with better average running time in many practical scenarios.

Using a specific literary device or technique in a type of work where, historically, it has been uncommon.

where the reference variables may be functions of the number of particles N. Using the definition of the heat capacity at constant volume for the first differential and the appropriate Maxwell relation for the second we have:

where r is the full displacement vector from the wire element to the point at which the field is being computed and r ̂ is the unit vector of r. Using this the equation can be equivalently written

Using the authorization granted to him by Congress, on 13 November 2001, President Bush issued a Presidential Military Order: " Detention, Treatment, and Trial of Certain Non-Citizens in the War Against Terrorism " which allowed " individuals ... to be detained, and, when tried, to be tried for violations of the laws of war and other applicable laws by military tribunals ", where such individuals are a member of the organization known as al Qa ' ida ; or has conspired or committed acts of international terrorism, or have as their aim to cause, injury to or adverse effects on the United States, its citizens, national security, foreign policy, or economy.

Using careful observation, the officers were able to locate where the opposition was hidden in the brush and entrenchments and they were able to target their men properly to overcome them.

Using atomic authorization is an alternative to per-system authorization management, where a trusted third party securely distributes authorization information.

Using the copy-text method, the critic examines the base text and makes corrections ( called emendations ) in places where the base text appears wrong to the critic.

Using v = lω, where ω is the angular velocity, one obtains:

; Mobile Code: Using languages such as Java where code can be streamed / slurped from one location to another via URLClassloaders and Codebases the commands can enable new behavior to be delivered to remote locations ( EJB Command, Master Worker )

Using person-time rather than just time handles situations where the amount of observation time differs between people, or when the population at risk varies with time.

Using, where possible, the functional organs of the diseased surplus body may partially alleviate this concern.

Using the Dirac notation, let the system initially be in the state where

Using modular exponentiation by repeated squaring, the running time of this algorithm is O ( k log < sup > 3 </ sup > n ), where k is the number of different values of a we test ; thus this is an efficient, polynomial-time algorithm.

Using the definition, the solution contained a term of the form ; where the value of making this term singular has come to be known as the Schwarzschild radius.