However, a rotating frame can be treated as if it were an inertial frame so that Newton's laws can be used if so-called fictitious forces ( also known as inertial or pseudo-forces ) are included in the sum of external forces on an object.

However Newton's laws of motion apply only in the stationary frame and describe dynamics in terms of the absolute acceleration d < sup > 2 </ sup > r / dt < sup > 2 </ sup >.

However, the principle of special relativity generalizes the notion of inertial frame to include all physical laws, not simply Newton's first law.

However, a century later, Young and Fresnel revived the wave theory of light when they pointed out that light could be a transverse wave rather than a longitudinal wave — the polarization of a transverse wave ( like Newton's " sides " of light ) could explain birefringence, and in the wake of a series of experiments on diffraction the particle model of Newton was finally abandoned.

However, they were primarily written for immediate and day-to-day use in Newton's ministry of Olney.

However, the theory had difficulties in other matters, and was soon overshadowed by Isaac Newton's corpuscular theory of light.

However, many still favored Isaac Newton's corpuscular theory of light, among them the great theoretician Siméon-Denis Poisson.

However, unlike Archimedes ' method, which was based on Euclidean geometry, Newton's and Leibniz's integral calculus did not have a rigorous foundation.

However, Newton's laws ( combined with universal gravitation and classical electrodynamics ) are inappropriate for use in certain circumstances, most notably at very small scales, very high speeds ( in special relativity, the Lorentz factor must be included in the expression for momentum along with rest mass and velocity ) or very strong gravitational fields.

However, John Newton's heroics are said to be a product of Parson Weems, who also fictionalized the story of George Washington and the cherry tree.

" However, by definition, the validity of Newton's law of cooling requires that the rate of heat loss from convection be a linear function of (" proportional to ") the temperature difference that drives heat transfer, and in convective cooling this is sometimes not the case.

However the tendency of hot bodies to get cold ( see Thermodynamics ) and by Le Chatelier's Principle — the statistical mechanics extension of Newton's Third Law — to oppose this tendency should be noted.

However, Newton's notation is no longer standard ; instead this would be written with a prime or using Leibniz's notation.

However, the method was developed independently of Newton's method, and predated the latter by over 3, 000 years.

However, Newton's method requires the evaluation of both and its derivative at every step, while the secant method only requires the evaluation of.

However, in mathematics Newton's laws of motion can be generalized to multidimensional and curved spaces.

However, if we let r >> n, then we get our usual Newton's law.

However, his assertion that a connection existed between the growth of knowledge and the art of war, and that ballistics played a central part of physics and Newton's world, was viewed with keen interest.

However, in early 1967, an English actor, Simon Prebble, coined the name " Newton's cradle " ( now used generically ) for the wooden version manufactured by his company, Scientific Demonstrations Ltd. After some initial resistance from retailers, they were first sold by Harrods of London, thus creating the start of an enduring market for executive toys.

However, he critically noted that the Relativity Principle, Newton's action and reaction, the Conservation of Mass, and the Conservation of Energy are not fully established and are even threatened by some experiments.

However, experiments and observations show that Einstein's description accounts for several effects that are unexplained by Newton's law, such as minute anomalies in the orbits of Mercury and other planets.

However Clairaut showed shortly afterwards ( 1749 – 50 ) that at least the major cause of the discrepancy lay not in the lunar theory based on Newton's laws, but in excessive approximations that he and others had relied on to evaluate it.

However, just as all the buildings have not fallen and flowed back to their original mud, so the values which wanted them and saw that they were built have not all disappeared.

However, for unknown reasons, the suggestion was not made through the formal process, so nothing came from this original request.

However the original kit version lacked many features that prevented its use as a serious computer system.

However there is a chance that the original stock will fall in value too, so by shorting it one can hedge that risk.

However, the original accounts mention only a light in the sky, without specifying the moon.

However, the arms are the result of an 18th-century restoration, as the original had the arms cut off in order to allow water to flow out.

However, subsequent models removed this and the " Graphics Synthesizer " GPU, thus removing support for PS2 titles, but still able to play most original PS games.

However the resulting braille is not as easily readable as braille that has been freshly embossed, in much the same way that a poor-quality photocopy is not as readable as the original.

However, legal title to all land in the City of Berkeley remains based on the original Peralta land grant.

However, after 1998, it began to describe the drink as Cuba Libre – literally translated as " Free Cuba " which is the original name of the drink and how it's mostly called in Latin America.

However, following bad sales of Dark Void and Bionic Commando, the company's management has decided to limit outsourcing to sequels and newer versions of installments in existing franchises, reserving the development of original titles for its in-house teams.

However, the term is applied to multidimensional data as well as to univariate data and in situations where a transformation of the data values for some or all dimensions would usually be considered necessary: in the latter cases, the notion of a " central location " is retained in converting an " average " computed for the transformed data back to the original units.

However, the details of the story are at best uncertain ( see for discussion of the original Wolfgang Sartorius von Waltershausen source and the changes in other versions ); some authors, such as Joseph Rotman in his book A first course in Abstract Algebra, question whether it ever happened.

However, the Coes write that xicalli referred to the gourd out of which the beverage was consumed and that the use of a frothing stick ( known as a molinollo ) was a product of creolisation between the Spanish and Aztec ; the original frothing method used by the indigenous people was simply pouring the drink from a height into another vessel.

However, the original Counter-Strike is still available and played by many people via Steam, as the two variants are quite different, and players inevitably prefer one variant over the other.

However, this understanding of original sin is what lies behind the Christian emphasis on the need for spiritual salvation from a spiritual Saviour, who can forgive and set aside sin even though humans are not inherently pure and worthy of such salvation.

However, he cannot permanently ' reprogram ' human minds to believe what he might want them to believe even if he wanted to do so, explaining that the mind is an organism that would always recall the steps necessary for it to reach the present and thus ' rewrite ' itself to its original setting if he tried to change it.

However, in the original article on Young from the first edition of the Rolling Stone Illustrated History of Rock and Roll and a subsequent article in the 1983 Rolling Stone Record Guide, critic Dave Marsh used this album to accuse Young of deliberately manufacturing a self-mythology, arguing that while his highlights could be seen to place him on a level with other artists from his generation like Bob Dylan or The Beatles, the particulars of his catalogue did not bear this out.

However the new version of the second Superman film ( known as The Richard Donner Cut ) restores as much of the original director's conception as possible, making it a considerably different picture.

However, it is more questionable if he indeed was carrying the " original " flag.

However, the term dharma can also be transliterated from its original form.

However, the original trial judge, Judge David Burnett, disallowed presentation of this information in his court.

However, a French court ruled, in June 1990, that a special lighting display on the tower in 1989, for the tower's 100th anniversary, was an " original visual creation " protected by copyright.

However, certain conditions must be met before the replication of the experiment is commenced: the original research question has been published in a peer-reviewed journal or widely cited, the researcher is independent of the original experiment, the researcher must first try to replicate the original findings using the original data, and the write-up should state that the study conducted is a replication study that tried to follow the original study as strictly as possible.