The end result is a song that retains familiar phrases and lyrics, but offers something new.

Thus, one nucleus offers a more tightly bound position to an electron than does another nucleus, with the result that one atom may transfer an electron to the other.

As a result of his standout play, Aaron received two offers from MLB teams via telegram ; one offer was from the New York Giants, the other from the then Boston Braves.

But the prosecutor wants to nail someone, so he offers you a deal: if you squeal on your associate – which will result in his getting a five year stretch – the prosecutor will see that six months is taken off of your sentence.

As a result of a pending trade war with the United States of America over violations of intellectual property rights of American corporations in the early 1990s, the People's Republic of China's trademark law has been modified and now offers significant protections to foreign trademark owners.

If naturopathy offers verifiable results for specific conditions, greater scientific knowledge of the mechanisms of those naturopathic protocols could result in improved therapy models.

As a result, the film offers a quintessential cinematic moment of the rarest and most transcendentally pure art.

Heinlein acknowledged that such a long life span should not be expected as a result of a mere three generations of selective breeding, but offers no alternative explanation except by having a character declare, " A mutation, of course — which simply says that we don't know ".

A recent investigation performed at the end of 2007 by the QAA reveal that as a result of its investigations, the audit team's view of Anglia Ruskin University is that confidence can reasonably be placed in the soundness of the institution's present and likely future management of the academic standards of the awards that it offers and the quality of the learning opportunities available to students.

As a result of this plot, Ravana asks for Goddess Parvathi, and Lord Shiva offers him.

Rejecting offers from the new seat of Livingston in Scotland, Benn contested Bristol East, losing to Conservative candidate Jonathan Sayeed in what was perceived to be a shock result.

ICOMOS was founded in 1965 in Warsaw as a result of the Venice Charter of 1964 and offers advice to UNESCO on World Heritage Sites.

The result is a vibrant community that offers travelers an ideal retreat.

The result is an interferometer that is, to first order, completely insensitive to movement of its optical components, and which offers excellent contrast and extreme fringe stability.

As a result Waterloo is a polyglot and multicultural town, the Commune offers services in French, Dutch, and English.

The Boston library offers digitized content, video, a wider range of formats and, as a result, " research documents now have broader accessibility within the community and around the world ," and help communities by offering public access computers, mobile Wi-fi access, and free job search tools.

The extended level offers the possibility of achieving 100 points but carries the risk of gaining a lower result due to the elevated difficulty level.

Direct access trading offers substantial improvements in transaction speed and will usually result in better trade execution prices ( reducing the costs of trading ).

Near the climax of the film, Neo offers a deal with the Machines to get rid of Smith in exchange for Zion's safety, warning them that Smith is beyond their control and will eventually spread to the machine city, which will result in destruction of both mankind and machines.

The result is a lightweight material that offers a seamless installation and there is no limit to the sheet size.

DPL II implements greatly enhanced steering compared to DPL, and as a result, offers an exceptionally stable sound field that simulates 5 channel surround sound.

Ca ’ Foscari also offers 9 Summer Schools including the prestigious Ca ’ Foscari-Harvard Summer School, the result of a bilateral agreement between Ca ’ Foscari and the American University.

As a result, The New Americans offers an unusually personal and comprehensive look at the people it profiles.

The result is that the proof offers little geometric insight into the nature of such a map.

Although we are still far from a complete understanding of these problems, as a first approximation, it is suggested that alterations in the hypothalamic balance with consequent changes in the hypothalamic-cortical discharges account for major changes in behavior seen in various moods and states of emotions in man and beast under physiological circumstances, in experimental and clinical neurosis, and as the result of psychopharmacological agents.

The true time of a full moon may differ from this approximation by up to about 14. 5 hours as a result of the non-circularity of the moon's orbit.

approximation is the result of a higher approximation: this problem is solved only by renormalizing fluctuating hydrodynamics equations.

It is a speculative, non-rigorous argument, that relies on an analogy or in intuition, that allows to achieve a result or approximation to be checked after with more rigor, otherwise the results are of doubt.

This fundamental result enables the inverse square law of gravitation to be applied to the real solar system to a very close degree of approximation.

As a result, a potential flow is characterized by an irrotational velocity field, which is a valid approximation for several applications.

While this reasoning error often can produce a relatively good approximation of the correct hypothesis probability value, it can lead to a completely wrong result and wrong conclusion in case the base rate is very low and the reliability of the test is not perfect.

For example, the identity ⅓ + ⅓ + ⅓ = ( 1 + 1 + 1 )/ 3 appears to fail if the addition is conducted in decimal arithmetic ; however, if many significant digits are used, the calculation will result in a closer approximation to the correct results.

For example, if the arithmetical calculation takes the form: 0. 33333 + 0. 33333 + 0. 33333 = 0. 99999 ≠ 1, this result is a closer approximation than if fewer significant digits had been used.

This contains the explanation of the motion of the apsis which had previously puzzled astronomers, and which Clairaut had at first deemed so inexplicable that he was on the point of publishing a new hypothesis as to the law of attraction when it occurred to him to carry the approximation to the third order, and he thereupon found that the result was in accordance with the observations.

It is desirable to find the length of control points which result in the least approximation error.

Once that change is made, all of the 0. 01 elements will be added, giving 0. 99, and then the 1. 0 element will be added, yielding a rounded result of 2. 0 – a much better approximation of the real result.

Using Stirling's approximation of the factorial one can establish the following asymptotic result:

The accuracy of the approximation of the PSF will dictate the final result.

For the special case of a Schottky-Nordheim barrier, an analytical result exists and ν ( h, F ) is given by ν ( f < sub > h </ sub >), as discussed above ; approximation ( 11 ) for ν ( f < sub > h </ sub >) is more than sufficient for all technological purposes.

However, Gold's learnability result can easily be circumvented, if we either assume the learner learns a near-perfect approximation to the correct language or that the learner learns from typical input rather than arbitrarily devious input.

As a result, in general relativity, the familiar Newtonian equation of gravity ( i. e. gravitation pull between two objects equals the gravitational constant times the product of their masses divided by the square of the distance between them ) is merely an approximation of the gravity-like effects seen in general relativity.

As a result the current border between the countries of Belarus, Ukraine and Poland is an approximation of the Curzon Line.

As a consequence of its definition, the Sobel operator can be implemented by simple means in both hardware and software: only eight image points around a point are needed to compute the corresponding result and only integer arithmetic is needed to compute the gradient vector approximation.

The result is expressed in inches and is usually ( though not always ) rounded to a convenient fraction-hence the approximation.

For some approximation algorithms it is possible to prove certain properties about the approximation of the optimum result.