Applying the Nernst Equation above, one may account for these differences by changes in relative K < sup >+</ sup > concentration or differences in temperature.

Applying the Steady Flow Energy Equation

Applying jpeg compression on every frame can reduce the BPP to 8 or even 1 bits / pixel.

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

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 method to hydrogen, they found that the moment of a proton was 2. 785 ± 0. 02 nuclear magnetons, and not 1 as predicted by the current theory, while that of a deuteron was 0. 855 ± 0. 006 nuclear magnetons.

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 the principle of indifference, we assign each of the possible outcomes a probability of 1 / n.

Applying both sides of this matrix equation to the component vector v < sub > 1 </ sub >( φ < sub > 1 </ sub >< sup >− 1 </ sup >( P )) and invoking ( 1 ) and ( 2 ) yields

) 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 any additive functor to a split sequence results in a split sequence, so in particular R < sup > 1 </ sup > F ( A )

Applying this to the function defined by f () = log ( a < sub > 1 </ sub >), we obtain that

Applying the Ampère-Maxwell equation to surface S < sub > 1 </ sub > we find:

By assumption, each entry in the diagonal of P is 1, so the trace of P is n. Applying the inequality of arithmetic and geometric means,

Applying these ladder operators to the eigenstates of the total angular momentum, azimuthal angular momentum and energy operators, the eigenvalues of the first Casimir operator C < sub > 1 </ sub > are n < sup > 2 </ sup > − 1 ; importantly, they are independent of the l and m quantum numbers, making the energy levels degenerate.

Applying reduction of order in case of a multiple root m < sub > 1 </ sub > will yield expressions involving a discrete version of ln,

Applying equation ( 1 ) to a subsystem yields:

:- Applying the aforementioned substitution ratios in the formula: ( of hydrogens * factor )/ hydrogens * 1 ) + ( secondary hydrogens * 3. 8 ) + ( tertiary hydrogens * 5 )

Applying Seifert's algorithm to this diagram, as expected, does produce a Seifert surface ; in this case, it is a punctured torus of genus g = 1, and the Seifert matrix is

Applying the state-transition function to a state may yield two possible results: either an element of together with the next state of the stream, or the element of the singleton set 1 as a separate " final state " indicating that there are no more values in the stream.

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 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 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 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.

* Applying a Doppler ultrasonic scanner, the surgeon identifies the axial pedicle of the tissue-flap ( composed of the supraorbital artery and the supratrochlear artery ), usually at the base, next to the medial brow ; the point usually is between the midline and the supraorbital notch.

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

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 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 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:

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 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.

Applying the filter to an input in this form is equivalent to a Direct Form I or II realization, depending on the exact order of evaluation.

Applying Ohm's Law, the relationship between the input voltage, V < sub > in </ sub >, and the output voltage, V < sub > out </ sub >, can be found: