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In fact, if we consider files of length N, if all files were equally probable, then for any lossless compression that reduces the size of some file, the expected length of a compressed file ( averaged over all possible files of length N ) must necessarily be greater than N. So if we know nothing about the properties of the data we are compressing, we might as well not compress it at all.
Some Related Sentences
fact and if
Operating as a one man police force in fact if not in name, he is at once more independent and more dedicated than the police themselves.
It was Plummer, in fact, who coined the much quoted remark: `` Mr. Green indeed writes as if he had been present at the landing of the Saxons and had watched every step of their subsequent progress ''.
In fact, if judgments are to be rendered upon the soundness of his historicism, they must be based on scanty evidence.
In fact I cannot imagine myself condemning a man to the noose or the electric chair if I had to take, as an individual, the responsibility for his death.
But if anything can bring home to Mr. Khrushchev the idea that he will not really get much enjoyment from watching this Braddock-against-the-Indians contest, it will probably be the fact that SEATO forces are ready to attempt it -- plus the fact that Moscow has something to lose from closing off disarmament and other bigger negotiations with Washington.
Even apart from the fact that now at the age of 31 my personal life is being totally disrupted for the second time for no very compelling reason -- I cannot help looking around at the black leather jacket brigades standing idly on the street corners and in the taverns of every American city and asking myself if our society has gone mad.
Due to the fact that building codes and regulations vary so much throughout the country, the first thing to do is to find out what, if any, they are.
In fact, they went so far as to caution the writer that if he attempted to design a section exclusively for married students there should be, at the beginning, some `` hindsight '' study ; ;
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.
Added to the argument was the fact that while she might have tasted the coffee if it had been still hot, she might even have drunk some of it, she wouldn't have taken enough to kill her, for she would have been warned by its taste.
He does not mean, in fact he addresses himself specifically to reject the proposition, that `` if we took the risk of surrendering, a new generation in Britain would soon begin to amass its strength in secret in order to reverse the consequences of that surrender ''.
Ramsey ( 2004: 340 ) stated that " the genetic relationship between Korean and Japanese, if it in fact exists, is probably more complex and distant than we can imagine on the basis of our present state of knowledge ", a concept later restated by Lee ( 2011 ).
" It concluded by saying, " in the years to come, in the view of the hundreds of thousands of people who are devoted to baseball, and the millions who will be, Abner Doubleday's fame will rest evenly, if not quite as much, upon the fact that he was its inventor ... as upon his brilliant and distinguished career as an officer in the Federal Army.
Since the time of Catherine II the ranks of Abbot and Archimandrite have been given as honorary titles in the Russian Church, and may be given to any monastic, even if he does not in fact serve as the superior of a monastery.
" Alternate History " looks at " what if " scenarios from some of history's most pivotal turning points and presents a completely different version, sometimes based on science and fact, but often based on conjecture.
In front of the large windows, as if they were pillars that support the complex stone structure, there are six fine columns that seem to simulate the bones of a limb, with an apparent central articulation ; in fact, this is a floral decoration.
Thus throwing a rock at someone for the purpose of hitting him is a battery if the rock in fact strikes the person and is an assault if the rock misses.
But there was no getting over the fact that his father had sworn to pardon him and let him live in peace if he returned to Russia.
Thus, if every historian were to claim that there was a solar eclipse in the year 1600, then though we might at first naively regard that as in violation of natural laws, we'd come to accept it as a fact.
This is a common fact about allomorphy: if the allomorphy conditions are ordered from most restrictive ( in this case, after an alveolar stop ) to least restrictive, then the first matching case usually " wins ".
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.
fact and we
Also, we should not even to-day discount the fact that a region such as the coastal lowlands centering on Charleston had closer ties with England and the West Indies than with the North even after independence.
In fact, although we have dispelled the fear, we have not necessarily assured ourselves that there are no dangers.
Now in the mere fact of the beginning of such displacement we have prima-facie evidence of the ontological weakness of the fading form.
we accord it its place there, and in Lawrence's treatment we are given the innocent fantasy of a child, in fact, the form in which oedipal love is expressed in childhood.
`` We were possessed by visions of a new civilization to come, very pure and elevated '', he has said, `` in fact some ideal form of socialism such as we had dreamed of since the war of 1914-1918 ''.
If our sincerity is granted, and it is granted, the discrepancy can only be explained by the fact that we have come to believe hearsay and legend about ourselves in preference to an understanding gained by earnest self-examination.
Perhaps the mere fact that by plucking on the nerves nature can awaken in the most ordinary of us, temporarily anyway, the sleeping poet, and in poets can discover their immortality, is the most remarkable of all the remarkable phenomena to which we can attest??
In this domain the simple fact of coexistence in the same local, national, and world community is enough to guarantee that we cannot refrain from having some effect, large or small, upon Gentile-Jewish relations.
the mere fact that he was selected, though as a substitute, to act as interlocutor or moderator for it, or perhaps we should say with Buck as ' father of the act ', is in itself a difficult phase of his development to grasp.
In the light of these circumstances, as well as the fact that the issue at trial in this respect centered entirely on the Department's recommendation, which petitioner repudiated but which both the appeal board and the courts below found supported by the record, we find no relevancy in the hearing officer's report and notes.
In spite of the fact that our largest market, the textile industry, was affected substantially by the current decline in business activity, we have been able to produce and deliver our machines throughout the year 1960 at a rate materially higher than during 1959.
Some of them are obvious, such as the fact that we associate recorded and live music with our responses and behavior in different types of environments and social settings.
Important as these differences are, they should not obscure the basic fact that by shifting the hypothalamic balance sufficiently to the parasympathetic side, we produce depressions, whereas a shift in the opposite direction causes excitatory effects and, eventually, maniclike changes.
It is a very interesting fact that these two problems can be handled simultaneously and this is what we shall do in the next chapter.
Above all, we should seek to encourage the leaders of these societies to accept the unpleasant fact that they are responsible for their fates.
In fact, we had one birth before the end of the course, and another student had to take the final examiantion a week early, just to be on the safe side.
And the few must win what the many lose, for the opposite arrangement would not support markets as we know them at all, and is, in fact, unimaginable.
In fact, in the desegregated school system which may have a good many schools with all-Negro population, how can we assure equal opportunity??
Let us suppose that the animal did not in fact fall into the trap and did not suffer at all, but that we mistakenly believe it did, and say as before that its suffering was an evil thing.
As a matter of fact, we prize the diversity among our own people so much that we will not presume to speak for all other American artists.
When a man recognizes a certain experience as the exact pattern of a previous dream, we have an instance of deja vue, except for the fact that he knows just why the experience seems familiar.