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This is similar ( but more categorical ) to concepts in group theory or module theory, where a given decomposition of an object into a direct sum is " not natural ", or rather " not unique ", as automorphisms exist that do not preserve the direct sum decomposition – see Structure theorem for finitely generated modules over a principal ideal domain # Uniqueness for example.
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is and similar
The personal quality of Samuel Beckett is similar to qualities I had found in the plays.
The career of Charles 12, is obviously very similar to that of Napoleon.
A similar amateurish characteristic is revealed in Adams' failure to check the accuracy and authenticity of his informational sources.
But there is, nevertheless, always a subtle difference in the way in which supposedly similar opinions are held.
First of all there is ample area in East Greenwich already zoned in the classification similar to that which petitioner requested.
What was missing in the Governor's argument, as in so many similar arguments, was a premise which would enable one to make the ethical leap from what might be militarily desirable to what is right.
Although a similar situs for tangible property is mentioned in the statute, this is cancelled out by the provision that definite kinds of property `` and all other tangible property '' situated or being in any town is taxable where the property is situated.
The resulting setup, it was declared, `` would be similar to that which is in successful operation in a number of metropolitan counties as large or larger than Rhode Island ''.
Super-Set No. 2 is made up of similar exercises, but this time done with dumbbells, and using both `` moon '' and flat benches.
Chuck a length of 1/8'' '' dia. drill rod into a drill press or some similar turning device and while it is rotating file the end square and then file a slight taper 1/8'' '' long.
There is the free intra-city `` rent it here, leave it there '' service, as an example, the free delivery and collection at the airport, dockside or your hotel, luggage racks, touring documents and information and other similar services.
There is one exception to the above statement as has been pointed out, and that is that fluids can relax by flowing into fields of lower rates of shear, so the statement should be modified by stating that the mechanics are similar.
) This is, of course, a similar type of behavior to that indicated by birefringence studies.
The life history of the alkali bee is similar to that of Andrena, but the first activity of the adults does not take place until summer, and the individuals hibernate in the prepupal stage.
In litters of eight mice from similar parents, the number of mice with straight instead of wavy hair is an integer from 0 to 8.
This theorem is similar to the theorem of Kakutani that there exists a circumscribing cube around any closed, bounded convex set in Af.
In hunger stimulates man too the situation is very similar.
) These general facts are mentioned to make clear that the total situation in the two families is similar enough to warrant comparison.
It will be seen that where the scope is similar, the Athabascan ratios come out somewhat higher ( as indeed they ought to with a total ratio of 2.8 as against 3.5 or 4: 5 ) except for verbs, where alone the Athabascan ratio is lower.
For example, suppose another excess profits tax similar to prior laws is enacted, providing for carryover of excess profits credits.
is and more
The sambur buck, the jungle stag that is even more noble than the Scottish elk.
And if he is so scornful of the rights of states, why not advocate a different sort of constitution that he could more sincerely support??
Since the Supreme Court's decision of that year this is more doubtful ; ;
The long-settled areas of states like Virginia and South Carolina developed the ante-bellum culture to its richest flowering, and there the memory is more precious, and the consciousness of loss the greater.
And there is no section of the nation more ardent than the South in the cold war against Communism.
Whether a concept analogous to the principle of internal responsibility operates in a nation's external relations is less obvious and more difficult to establish.
But it is more than that.
While the pattern is uneven, some having gained more than others, nationalism has in fact served the Western peoples well.
But it is more than irony: one of the main reasons why nationalism is no longer a tenable concept is because it has spread throughout the planet.
Only one rule prevailed in my conversations with these men: The more highly placed they are -- that is, the more they know -- the more concerned they have become.
Only recently new `` holes '' were discovered in our safety measures, and a search is now on for more.
Isfahan became more of a legend than a place, and now it is for many people simply a name to which they attach their notions of old Persia and sometimes of the East.
On Fridays, the day when many Persians relax with poetry, talk, and a samovar, people do not, it is true, stream into Chehel Sotun -- a pavilion and garden built by Shah Abbas 2, in the seventeenth century -- but they do retire into hundreds of pavilions throughout the city and up the river valley, which are smaller, more humble copies of the former.
But more important, and the thing which the casual traveler and the blind sojourner often do not see, is that these places and activities are often the settings in which Persians exercise their extraordinary aesthetic sensibilities.
Poetry in Persian life is far more than a common ground on which -- in a society deeply fissured by antagonisms -- all may stand.
Nostalgic Yankee readers of Erskine Caldwell are today informed by proud Georgians that Tobacco Road is buried beneath a four-lane super highway, over which travel each day suburbanite businessmen more concerned with the Dow-Jones average than with the cotton crop.
Truman Capote is still reveling in Southern Gothicism, exaggerating the old Southern legends into something beautiful and grotesque, but as unreal as -- or even more unreal than -- yesterday.
The resulting picture might appear a maze of restless confusions and contradictions, but it is more true to life than a portrait of an artificially contrived order.
So great a man could not but understand, too, that the thing that moves men to sacrifice their lives is not the error of their thought, which their opponents see and attack, but the truth which the latter do not see -- any more than they see the error which mars the truth they themselves defend.
Even in domains where detailed and predictive understanding is still lacking, but where some explanations are possible, as with lightning and weather and earthquakes, the appropriate kind of human action has been more adequately indicated.
`` What is more true than anything else??
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