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Page "Motivation" ¶ 21
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Applying and proper
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 the phrase structure rules in a neutral manner, it is possible to generate many proper sentences of English.

Applying and techniques
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 source separation techniques on the measured signals can help remove undesired artifacts from the signal.
* 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 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 and can
Applying jpeg compression on every frame can reduce the BPP to 8 or even 1 bits / pixel.
Applying these laws results in a set of simultaneous equations that can be solved either algebraically or numerically.
Applying the inverse-square law between the charges on the electron and nucleus, one can write:
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.

Applying and be
Applying multiple models that are not integrated within and across an organization could be costly in training, appraisals, and improvement activities.
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 this principle leads to taking the more difficult ( unharmonized ) reading as being more likely to be the original.
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 the formula at the top shows this to be about 386 cents.
Applying procedural fairness to an entire society therefore seems certain to create recognizable inefficiencies, and therefore be unfair, and ( by the equivalence of justice with fairness ) unjust.
Applying this method, George concluded that many of the problems that beset society, such as poverty, inequality, and economic booms and busts, could be attributed to the private ownership of the necessary resource, land.
* 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 different sampling methods will lead to different sets of individuals being observed for the same area of interest, and the species diversity of each set may be different.
Applying Birkhoff's theorem, this is sufficient to tell us that the groups form a variety, and so it should be defined by a collection of identities.
Applying specially made Lycra garments may also be beneficial.
Applying these principles, the Payne child was allowed to be taken to New Zealand by the mother since otherwise the effect on her of being forced to stay in England would be " devastating ".

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