Applying separation of variables again to the second equation gives way to the pair of differential equations

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.

* Greening The Desert: Applying natural farming techniques in Africa, interview with Masanobu Fukuoka ( retrieved 30 November 2010 )

Applying Six Sigma techniques to ITIL brings the engineering approach to ITIL's framework.

Applying Lean techniques promotes continuous improvement of the ITIL's best practices.

Applying the same techniques to studying the Hudson Gorge that he had used in the Galápagos, Beebe encountered a surprising variety of sea animals, many of which had previously been thought to be exclusive to the tropics.

Applying proper motivational techniques can be much harder than it seems.

Applying these techniques, Arthur Cayley has found a general criterion for determining whether any given quintic is solvable.

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.

# Applying protective / supportive techniques that allow the athlete to regain physically active lifestyle

Applying linearization techniques to the equation of motions for both species, to the equation of continuity, and Poisson's equation, and introducing the spatial and temporal harmonic operators, we can get the following expression:

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

Applying Fubini's theorem and integrating on the fiber, one gets

Applying this objective test, the Court has held Miranda does not apply to roadside questioning of a stopped motorist or to questioning of a person briefly detained on the street — a Terry stop.

Applying the inverse-square law between the charges on the electron and nucleus, one can write:

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 again the matrix operator on both side yields

Applying the transmission line model based on the telegrapher's equations, the general expression for the characteristic impedance of a transmission line is:

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 a conception of such illocutionary acts according to which they are ( roughly ) acts of saying something with the intention of communicating with an audience, he describes indirect speech acts as follows: " In indirect speech acts the speaker communicates to the hearer more than he actually says by way of relying on their mutually shared background information, both linguistic and nonlinguistic, together with the general powers of rationality and inference on the part of the hearer.

Applying the scheme discussed above on a fairly modern Windows based system typically results in the following drive letter assignments:

Applying himself to this problem, Giacconi worked on the instrumentation for X-ray astronomy ; from rocket-borne detectors in the late 1950s and early 1960s, to Uhuru, the first orbiting X-ray astronomy satellite, in the 1970s.

Applying Clausius inequality on this loop,

Applying an operation on a scene graph requires some way of dispatching an operation based on a node's type.

* CLAVIER: Applying case-based reasoning on to composite part fabrication

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 for a commercial pilot's licence on 2 June 1921 ( in which he gave his name as ' Charles Edward Kingsford-Smith '), he became one of Australia's first airline pilots when he was chosen by Norman Brearley to fly for the newly formed West Australian Airways.

Applying a little bit of ghee on cotton and keeping it on the navel overnight is considered a remedy for dry lips.

Applying this estimate to any even power V < sup > k </ sup > of V and using the Künneth formula shows that the eigenvalues of Frobenius on the middle cohomology of a variety V of any dimension d satisfy

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 information extraction on text, is linked to the problem of text simplification in order to create a structured view of the information present in free text.

* Applying for a job in an " essential " civilian occupation and seeking deferment on those grounds-often this required a letter from the potential draftee's employer to be accepted.

Applying a standardized method, the plaque pH is measured at least in four volunteers during and for 30 minutes after consumption of the product with an indwelling, interproximally-placed, plaque-covered electrode.

Applying a standardized method, the plaque pH is measured at least in four volunteers during and for 30 minutes after consumption of the product with an indwelling, interproximally placed, plaque-covered electrode.

Applying the XOR gate's output to a low-pass filter results in an analog voltage that is proportional to the phase difference between the two signals.

Applying these laws results in a set of simultaneous equations that can be solved either algebraically or numerically.

Applying Hubble's law to these redshifts, it can be shown that they are between 600 million and 28 billion light-years away ( in terms of proper distance ).

Applying ionophores like valinomycin can create electrochemic gradients that are comparable to the gradients inside the living cell.

Applying this rule of thumb, one can apply " common sense " when creating the duration of a single activity or group of activities necessary to produce a deliverable defined by the WBS.

Applying this to the Otto cycle the four process equations can be derived:

* Applying the divergence theorem to the product of a scalar function, f, and a non-zero constant vector, the following theorem can be proven:

* Applying the divergence theorem to the cross-product of a vector field F and a non-zero constant vector, the following theorem can be proven:

Applying a skin changes a piece of software's look and feel — some skins merely make the program more aesthetically pleasing, but others can rearrange elements of the interface, potentially making the program easier to use.

Applying the principle of indifference incorrectly can easily lead to nonsensical results, especially in the case of multivariate, continuous variables.

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:

Applying the first equation a second time to each equation can emulate a moving piece of paper ( see the figure below ).

Applying convolution K to pixel group P can be represented in pseudocode as:

Applying an oral anesthetic and consuming beverages before going to bed can be particularly hazardous.

Applying these methods in the workplace, such as Csikszentmihalyi did with Swedish police officers, can improve morale by fostering a sense of greater happiness and accomplishment, and in correlated to increased performance.

Applying this concept to human society, Kropotkin presented mutual aid as one of the dominant factors of evolution, the other being self assertion, and concluded that In the practice of mutual aid, which we can retrace to the earliest beginnings of evolution, we thus find the positive and undoubted origin of our ethical conceptions ; and we can affirm that in the ethical progress of man, mutual support not mutual struggle – has had the leading part.

Applying the chaos theory to the second law of thermodynamics, the paradox of irreversibility can be explained in the errors associated with scaling from microstates to macrostates and the degrees of freedom used when making experimental observations.

Applying mineral oil or lotion before play can make wax removal easier.

Applying the pixel operations associated with multiple filters can be achieved simultaneously and without a significant increase in processing time.

Applying this concept, virtually every part of the target can be hit with this weapon.