So simple, in fact, that it might even work -- although Pamela, now, in her new frame of mind, was careful not to pretend too much assurance.

In fact, although we have dispelled the fear, we have not necessarily assured ourselves that there are no dangers.

In The Law Of Civilization And Decay Brooks Adams traced this evolution, always pointing to the fact that although the forms became more rational, the substance remained unchanged.

What made these new location figures particularly impressive was the fact that although 1960 was a year of mild business recession throughout the nation, Rhode Island scored marked progress in new industry, new plants, and new jobs.

Despite the fact that he was regarded as an outstanding engineer, he seemed to be a very poor administrator, although no one quite knew what was wrong with him.

For example, automobile wheels made of an aluminium alloy are commonly referred to as simply " alloy wheels ", although in point of fact steels and most other metals in practical use are also alloys.

Alan Cameron, however, argues that it should be interpreted as referring to Plato, and that when Proclus writes that " we must bear in mind concerning this whole feat of the Athenians, that it is neither a mere myth nor unadorned history, although some take it as history and others as myth ", he is treating " Crantor's view as mere personal opinion, nothing more ; in fact he first quotes and then dismisses it as representing one of the two unacceptable extremes ".

" In addition to the lack of evidence, scientists cite the fact that Bigfoot is alleged to live in regions unusual for a large, nonhuman primate, i. e., temperate latitudes in the northern hemisphere ; all recognized nonhuman apes are found in the tropics of Africa and Asia ( although some smaller primates, such as Japanese macaques, are found in Asia up to the latitude of Northern California, and can cope with air temperatures to-20 ° C (- 4 ° F )).

Because of his widespread correspondence with others throughout the British Isles, and due to the fact that many of the letters imply that Bede had met his correspondents, it is likely that Bede travelled to some other places, although nothing further about timing or locations can be guessed.

In the UK in 2009 it was estimated that up to 12 million shoppers appeared at the sales ( a rise of almost 20 % compared to 2008, although this was also affected by the fact that the VAT would revert to 17. 5 % from 1 January ).

" A modest man, but then he has so much to be modest about ", is a quote about Attlee that is very commonly ascribed to Churchill ( although Churchill in fact denied saying it, and respected Attlee's service in the War Cabinet ).

Sirius Canada in fact initially chose not to air Stern based on the possibility of a future issue with the CRTC, although the company reversed its decision and began offering Howard Stern in 2006.

" There can be found no fact that is true or existent, or any true proposition ," he wrote, " without there being a sufficient reason for its being so and not otherwise, although we cannot know these reasons in most cases.

Apart from terrestrial mammals, the seas around Crete are rich in large marine mammals, a fact unknown to most Greeks, although reported since ancient times.

Following the development of research techniques in molecular biology in the late 20th century, in particular methods for studying DNA-DNA hybridisation, a great deal of new information has surfaced, much of it suggesting that many birds, although looking very different from one another, are in fact more closely related than was previously thought.

In fact, although the Copernican heliocentric model is often described as " demoting " Earth from its central role it had in the Ptolemaic geocentric model, neither Copernicus nor other 15th-and 16th-century scientists and philosophers viewed it as such.

The reference is to a lounge cover of the song, recorded by the band Nouvelle Vague, played during a scene in the Planet Terror segment of Grindhouse, although no rape takes place, and in fact the would-be rapist is killed by the would-be victim.

In 18th and 19th century Germany, several thousand local languages of the continental west Germanic dialect continuum were reclassified as dialects of modern New High German although the vast majority of them were ( and still are ) mutually incomprehensible, despite the fact that they all existed long before New High German, which had at least in part been shaped as a compromise or mediative language between these local languages.

The episodes are renumbered 1 to 9, although, in fact they are episodes 1-2, 5-6, and 9-13 ( a similar fault was made on the release of At Last the 1948 Show ).

The Director Barras believed that David was " tricked " into signing, although one of David's students recalled that in 1798 his master lamented the fact that masterpieces had been

The European Parliament's Temporary Committee on the ECHELON Interception System stated: " It seems likely, in view of the evidence and the consistent pattern of statements from a very wide range of individuals and organisations, including American sources, that its name is in fact ECHELON, although this is a relatively minor detail.

Inefficiency comes not just from the fact that the device is always conducting to some extent ( that happens even with class AB, yet its efficiency can be close to that of class B ); it is that the standing current is roughly half the maximum output current ( although this can be less with square law output stage ), together with the problem that a large part of the power supply voltage is developed across the output device at low signal levels ( as with classes AB and B, but unlike output stages such as class D ).

In fact, from 1192 to 1867, the shoguns, or their shikken regents in Kamakura ( 1203 – 1333 ), were the de facto rulers of Japan, although they were nominally appointed by the Emperor.

Like Brooke, he is uncritical of the show's journalistic tactics ( although in the episode Judge and Jury, he has reservations about their persecution of a priest accused of rape, mainly because he is a lapsed Catholic ); in fact he is usually the confidante of the executive producers, and the one they can trust to do what is needed to get a good story, or to persuade Mike to present a story.

Again, though, other physicists believe that tunneling experiments in which particles appear to spend anomalously short times inside the barrier are in fact fully compatible with relativity, although there is disagreement about whether the explanation involves reshaping of the wave packet or other effects.

Waldo Dunnington, a biographer of Gauss, argues in Gauss, Titan of Science that Gauss was in fact in full possession of non-Euclidean geometry long before it was published by János Bolyai, but that he refused to publish any of it because of his fear of controversy.

In fact even though Gauss redid this proof 50 years later, the gap remained.

Gauss conjectured that this condition was also necessary, but he offered no proof of this fact, which was provided by Pierre Wantzel in 1837.

For spherical and hyperbolic spatial geometries, the curvature gives a scale ( either by using the radius of curvature or its inverse ), a fact noted by Carl Friedrich Gauss in an 1824 letter to Franz Taurinus.

The other difference formulas, such as those of Stirling, Bessel and Gauss, can be derived from Newton's, using Newton's terms, with data points and x values renamed in keeping with the choice of x zero, and based on the fact that they must add up to the same sum value as Newton's ( With Stirling that is so when polynomial degree is even.

In fact, it was the only prior FFT work cited by them, as they were not then aware of the earlier research by Gauss and others.

His proof generalizes the classical calculation of the absolute value of Gauss sums using the fact that the norm of a Fourier transform has a simple relation to the norm of the original function.

The fact that Gauss had described the same algorithm ( albeit without analyzing its asymptotic cost ) was not realized until several years after Cooley and Tukey's 1965 paper.

In fact, Eisenstein adds in a footnote that the only proof for this irreducibility known to him, other than that of Gauss, is one given by Kronecker in 1845.

From Gauss ' lemma it follows that is reducible in as well, and in fact can be written as the product of two non-constant polynomials, ( in case is not primitive, one applies the lemma to the primitive polynomial ( where the integer is the content of ) to obtain a decomposition for it, and multiplies c into one of the factors to obtain a decomposition for ).

Theorema egregium of Gauss states that the Gaussian curvature of a surface can be expressed solely in terms of the first fundamental form and its derivatives, so that K is in fact an intrinsic invariant of the surface.

He notes that his equation explains the fact that π ( x ) grows more slowly than the logarithmic integral, as had been found by Carl Friedrich Gauss and Carl Wolfgang Benjamin Goldschmidt.

In fact out of the three people that can be credited with discovery of hyperbolic geometry-Gauss, Lobachevsky and Bolyai, Lobachevsky rightfully deserves having his name attached to it, since Gauss never published his ideas and out of the latter two Lobachevsky was the first who duly presented his views to the world mathematical community.

Already Gauss had shown that, in fact, every quadratic field is contained in a larger cyclotomic field.

It was also subtly familiar, for it was the odor of the human body, but multiplied innumerable times because of the fact that the aborigines never bathed.

We are also struck by the fact that this story of a boy's love for his mother does not offend, while the incestuous love of the man, Paul Morel, sometimes repels.

He also disliked Runyon, for no good reason other than the fact that the Demon's talent was so marked as to put him well beyond the Hetman's say-so or his supervision.

This finding is consistent also with the fact that student leaders are more likely to be supporters of the values implicit in civil liberties than the other students.

And it is also a fact of life that there will always ( be youngish half-educated people around, who will be dazzled by the glitter of what looks like a literary movement.

But Schnabel was a great teacher in addition to being a great performer, and the fact that four of the ten versions I listened to are by Schnabel pupils ( Clifford Curzon, Frank Glazer, Adrian Aeschbacher, and Victor Babin ) also sheds light on the master's pedagogical skills.

Perhaps a clue to these and related problems lies in the fact that changes in the intensity of hypothalamic discharges which are associated with changes in its balance lead also to qualitative alterations in reactivity.

The unifying effect of religion is also brought out in the fact that historically peoples have clung together as more or less cohesive cultural units, with religion as the dominant bond, even though spatially dispersed and not politically organized.

We are abstracting from the fact of strikes here, but it should be obvious that the extent to which the public-limit price is raised by a given increase in the basic wage rate is also a function of the show of resistance put up by the industry.

In fact, a cash purchase of a corporation's stock followed by liquidation might also be an effective way to transfer a claim for refund if the Kimbell-Diamond doctrine is not applied to eliminate the intermediate step.

It also overlooks the fact that in a rational lexicon, and quite clearly in More's lexicon, the opposite of serious is not gay but frivolous, and the opposite of gay is not serious but solemn.

The need that we not give unqualified approval to any but a limited use of economic pressure directed against the actual doers of injustice is clear also in light of the fact that White Citizens' Councils seem resolved to maintain segregation mainly by the use of these same means and not ordinarily by physical violence.

A certain vagueness may also be caused by tactical appreciation of the fact that the present council meeting is a semipublic affair, with no fewer than six Soviet correspondents accredited.

There was also the fact that by the time he meets Mr. Khrushchev, the President will have completed conversations with all the other principal Allied leaders.

Although I have emphasized the barriers which an aroused nationalism has raised against relations between Christians and non-Christians in Asia, the fact is that this development has also widened the gulf between certain Afro-Asian religions themselves.

This is usually done on the basis that the lower court judge erred in the application of law, but it may also be possible to appeal on the basis of court misconduct, or that a finding of fact was entirely unreasonable to make on the evidence.

Swift also recognizes the implications of such a fact in making mercantilist philosophy a paradox: the wealth of a country is based on the poverty of the majority of its citizens.

Swift however, Landa argues, is not merely criticizing economic maxims but also addressing the fact that England was denying Irish citizens their natural rights and dehumanizing them by viewing them as a mere commodity.

It has been said that twelve cases related in The Labours of Hercules ( 1947 ) must refer to a different retirement, but the fact that Poirot specifically says that he intends to grow marrows indicates that these stories also take place before Roger Ackroyd, and presumably Poirot closed his agency once he had completed them.

The sum, difference, product and quotient of two algebraic numbers is again algebraic ( this fact can be demonstrated using the resultant ), and the algebraic numbers therefore form a field, sometimes denoted by A ( which may also denote the adele ring ) or < span style =" text-decoration: overline ;"> Q </ span >.

Adventists also point to the fact that the wage of sin is death and God alone is immortal.

However, Robert Rines, who previously made two underwater photographs allegedly showing the monster, countered with the fact that they can also be arranged into " Yes, both pix are monsters, R ."

Rhoticity was further supported by Hiberno-English, West Country English and Scottish English as well as the fact most regions of England at this time also had rhotic accents.

First: it " mandates that whoever is the sovereign of the United Kingdom is also, by virtue of this external fact, sovereign of Australia "; accordingly, changes to British succession laws would have no effect on Australian law, but if the British amendment changed the sovereign, then the new sovereign of the United Kingdom would automatically become the new sovereign of Australia.