Applying the above function to the arguments ( 5, 2 ), we have:

Applying Chow's analysis to the case of the unexpected hanging ( again with the week shortened to two days for simplicity ), we start with the observation that the judge's announcement seems to affirm three things:

Applying the rules and customs of prize law, the courts decided whether the Letter of Marque was valid and current, and whether the captured vessel or its cargo in fact belonged to the enemy ( not always easy, when flying false flags was common practice ), and if so the prize and its cargo were " condemned ", to be sold at auction with the proceeds divided among the privateer's owner and crew.

Applying the term to the work of Philip Pullman ( His Dark Materials ), Schweizer clarifies that he does not mean the term to carry the negative connotations of misanthropy: " To me, the word connotes a heroic stance of humanistic affirmation and the courage to defy the powers that rule the universe.

Applying the above formula to the 25-meter-diameter antennas often used in radio telescope arrays and satellite ground antennas at a wavelength of 21 cm ( 1. 42 GHz, a common radio astronomy frequency ), yields an approximate maximum gain of 140, 000 times or about 50 dBi ( decibels above the isotropic level ).

Applying this to a space of dimension 0, which contains exactly one vector ( the zero vector ), the only candidate for a basis is the empty set ( both because 0 elements are required, and because the zero vector cannot be in any basis ).

Applying to the French classics the rigorous method used with regard to the texts of the Middle Ages, he published the Pensées of Pascal, revised with the original manuscript ( 1887 – 1889 ), and the Provinciales ( 1891 ), edited with notes.

He also wrote An Essay on Electricity: Explaining the Theory and Practice of that Useful Science, and the Mode of Applying it to Medical Purposes ( London, 1784 ), which ran to four editions in his lifetime.

) Applying this to the geometric progression 31, 62, 124, 248, 496 ( which results from 1, 2, 4, 8, 16 by multiplying all terms by 31 ), we see that 62 minus 31 is to 31 as 496 minus 31 is to the sum of 31, 62, 124, 248.

* Rustum R., A. J. Adeloye, and M. Scholz ( 2008 ) Applying Kohonen Self-organizing Map as a Software Sensor to Predict the Biochemical Oxygen Demand, Water Environment Research, 80 ( 1 ), 32 – 40.

Applying a flap technique ( first used by Sir Harold Gillies in 1951 ), the spongiform erectile tissue of the penis is removed, and the skin, with its nerves and vascular system ( blood supply ) still attached, is used to create a vestibule area and labia minora, which then are inverted into the neovaginal cavity created in the pelvic tissue.

Applying a result of linear algebra to both orthogonality relations (| C < sub > i </ sub >| is always positive ), we find that the number of conjugacy classes is greater than or equal to the number of inequivalent irreducible representations ; and also at the same time less than or equal to.

Applying the most commonly cited definition of systemic risk, that of the Financial Stability Board ( FSB ), to the core activities of insurers and reinsurers, the report concludes that none are systemically relevant for at least one of the following reasons:

* Moores, T. T. & Gregory, Frank Hutson ( 2000 ), " Cultural Problems in Applying SSM for IS Development ", Journal of Global Information Management, vol.

* The Dutch band " Janse Bagge Bend " covered the song in a Dutch dialect in 1983, naming it " Sollicitere ", meaning " Applying " ( for employment ), and featuring it on their album " Flazjelettentaere ".

Applying the same techniques ( which involved gradual immunization of horses and sheep by administering small doses of venoms, and then extracting, purifying and freeze-drying the antibody portion from the blood of injected animals ), Vital Brazil and his coworkers were able to discover the first sera against two species of scorpions ' ( 1908 ) and spiders ' ( 1925 ) venoms.

The ancient geometers are not done yet, for if the fifth vertex of the pentagon is marked as E and FE and BF are joined ( with FE = BF = z ), then cyclic quadrilateral EFBA will be formed with diagonals length d ( diameter ) and b. Applying the ' Almagest ' theorem yet again:

Applying the laws of the psychology of the individual to the nation and to mankind ( for these he considered as social beings ), Lazarus established a new branch of research which he termed " Völkerpsychologie " ( national psychology ).

Applying this subjective case-by-case approach ( known as selective incorporation ), the Court upheld Palko's conviction on the basis that the Double Jeopardy appeal was not " essential to a fundamental scheme of ordered liberty.

Applying the method hierarchically ( according to the data structure at hand ), optionally in both increasing and decreasing direction, yields highly efficient multidimensional range search which is important in both commercial and technical applications, e. g. as a procedure underlying nearest neighbour searches.

Applying Jewish Values to Help Heal our Imperiled Planet, ( with Rabbi Yonassan Gershom ), Lulu Press, Inc., Raleigh, North Carolina, 2011 ( ISBN 978-1-105-33646-1 )

* Applying or referring to legal procedures not for the sake of obtaining justice ( or so that justice is served ), but mainly with the aim of making money out of it, or promote one ’ s own position, or to place competitors at a disadvantage.

Applying heat to a food usually, though not always, chemically transforms it, thus changing its flavor, texture, consistency, appearance, and nutritional properties.

Applying deconvolution successfully to general-purpose camera images is usually not feasible, because the geometries of the scene are not set.

* Applying fuel directly inside the cup-the cup is then usually put on the skin with the fuel still burning ( the flame will quickly extinguish from want of oxygen ).

The inverse of specific volume is usually confused as the density of the mixture ( see " Applying the Psychrometric Relationships " CIBSE, August 2009 ).

Applying the techniques developed at Harvard for generating a paradigm from a representative form and its classification, we can add all forms of a word to the dictionary at once.

Applying Lagrange's formula with the observation that Ω • r ( t ) = 0 at all times,

Applying higher pressure of the order of hundreds or thousands of kilobars induces a series of phase transformations, in particular with a tetragonal phase appearing at about 900 kbar.

Applying carefully selected rules at the social level and encouraging appropriate motives at the personal level is, so it is argued, likely to lead to a better overall outcome even if on some individual occasions it leads to the wrong action when assessed according to act utilitarian standards.

Applying the two sine waves at frequencies ω < sub > 1 </ sub >

Applying the right amount of inputs in the right place and at the right time benefits crops, soils and groundwater, and thus the entire crop cycle.

Applying a delta-v at the LEO of only 0. 78 km / s more ( 3. 20-2. 42 ) would give the rocket the escape speed, while at the geostationary orbit a delta-v of 1. 46 km / s is needed for reaching the escape speed of this circular orbit.

Applying the principles of comparative negligence, the jury found that McDonald's was 80 % responsible for the incident and Liebeck was 20 % at fault.

Applying both sides to e < sub > j </ sub >, the result on each side is the jth partial derivative of f at p. Since p and j were arbitrary, this proves the formula (*).

Applying the formula at the top shows this to be about 386 cents.

* Free Advice On Applying To Graduate School ( PDF )-Written by a professor of psychology at Portland State University.

Applying Equation ( 1 ) and KCL at the OA's non-inverting input v < sub >+</ sub > gives

Applying many of the PLATO concepts used in the late 1970s, E. Clarke Porter led the Drake Training and Technologies testing business ( today Thomson Prometric ) in partnership with Novell, Inc. away from the mainframe model to a LAN-based client server architecture and changed the business model to deploy proctored testing at thousands of independent training organizations on a global scale.

Applying to him the term " absolute " would, however, give a false impression: he is not free to issue decrees at whim.

Applying symmetry reduced the computational and memory requirements associated with the problem, allowing the researchers to obtain results on the supercomputers available at the time.

Applying the physics of high pressure jets exiting circular apertures, a doubling of velocity and gas concentration at a fixed point in the whistle mouth would require a quadrupling of either aperture area or absolute pressure.