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In this case, is the smallest σ-algebra that contains the open intervals of R. While there are many Borel measures μ, the choice of Borel measure which assigns for every interval is sometimes called " the " Borel measure on R. In practice, even " the " Borel measure is not the most useful measure defined on the σ-algebra of Borel sets ; indeed, the Lebesgue measure is an extension of " the " Borel measure which possesses the crucial property that it is a complete measure ( unlike the Borel measure ).
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case and is
This is the only case in modern history of a people of Britannic origin submitting without continued struggle to what they view as foreign domination.
he is very close to being a mental case.
What was only a vague suspicion in the case of Sherlock Holmes now appears as a direct accusation: the private eye is in danger of turning into his opposite.
In the case of social decay, form is displaced simply by the process of dissolution with no form at the terminus of the process.
If many of the characters in contemporary novels appear to be the bloodless relations of characters in a case history it is because the novelist is often forgetful today that those things that we call character manifest themselves in surface behavior, that the ego is still the executive agency of personality, and that all we know of personality must be discerned through the ego.
This text from Dr. Huxley is sometimes used by enthusiasts to indicate that they have the permission of the scientists to press the case for a wonderful unfoldment of psychic powers in human beings.
There may be a case of this sort, but it is not one we wish to argue, here.
In any case but the last, such a course is sure to avenge itself upon the individual ; ;
The first thing to do is get her some money by a temporary but definite adjustment pending a final disposition of the case.
Such, he implies, is the case with his friend, who is not really a new convert himself but merely a favorer of new converts.
Although because of the important achievements of nineteenth century scholars in the field of textual criticism the advance is not so striking as it was in the case of archaeology and place-names, the editorial principles laid down by Stevenson in his great edition of Asser and in his Crawford Charters were a distinct improvement upon those of his predecessors and remain unimproved upon today.
That fact is very clearly illustrated in the case of the many present-day intellectuals who were Communists or near-Communists in their youth and are now so extremely conservative ( or reactionary, as many would say ) that they can define no important political conviction that does not seem so far from even a centrist position as to make the distinction between Mr. Nixon and Mr. Khrushchev for them hardly worth noting.
In any case, who ever thought that New York is typical of anything??
American history should clinch the case when Congress is asked to approve.
Senator Mundt's gross distortion of President Eisenhower's conversation into a denunciation of President Kennedy as too left wing, a statement Mr. Eisenhower declared to be entirely false, is another case in point.
The Connally amendment says that the United States, rather than the court, shall determine whether a matter is essentially within the domestic jurisdiction of the United States in a case before the World Court to which the United States is a party.
If the case is thus determined by us to be domestic, the court has no jurisdiction.
Besides the lack of an adequate ethical dimension to the Governor's case, one can ask seriously whether our lead over the Russians in quality and quantity of nuclear weapons is so slight as to make the tests absolutely necessary.
In my own case, I submit that such reasonable and fair exercise is woefully lacking.
In connection with any claim decided by the Commission pursuant to this Title in which an award is made, the Commission may, upon the written request of the claimant or any attorney heretofore or hereafter employed by such claimant, determine and apportion the just and reasonable attorney's fees for services rendered with respect to such claim, but the total amount of the fees so determined in any case shall not exceed 10 per centum of the total amount paid pursuant to the award.
in the case of a partnership or corporation, the existence of which has been terminated and on behalf of which an award is made, payment shall be made, except as provided in paragraphs ( 3 ) and ( 4 ), to the person or persons found by the Comptroller General of the United States to be entitled thereto ; ;
case and smallest
The units had a robust motherboard in a spacious case, reminiscent of the BBC Micro, and so were more tolerant of home-modification than some of their contemporaries, which often had their components crammed into the smallest possible space.
In 1986, Noam Elkies found a method to construct counterexamples for the k = 4 case .< ref > His smallest counterexample was the following:
In the case of the smallest networks, the signal may be sent to just a dozen or fewer stations.
Non-Gaussian beams also exhibit this effect, but a Gaussian beam is a special case where the product of width and divergence is the smallest possible.
In this case 1. 4 is the maximum aperture ( the largest opening ), and 22 is the minimum aperture ( the smallest opening ).
The smallest nontrivial case, shown below, is of order 3.
Alternating between the smallest and the next-smallest disks, follow the steps for the appropriate case:
For the other disks there is always one possibility, except when all disks are on the same peg, but in that case either it is the smallest disk that must be moved or the objective has already been achieved.
This would be the case if D < sub > 1 </ sub > read " the smallest natural number ".
This would be the case if D < sub > 2 </ sub > read " the smallest natural number ".
The smallest such d is called the diameter of the universe, in which case the universe has a well-defined " volume " or " scale.
They are also totally disconnected ( connected components are points ), scattered ( every non-empty set has an isolated point ; in this case, just take the smallest element ), zero-dimensional ( the topology has a clopen basis: here, write an open interval ( β, γ ) as the union of the clopen intervals ( β, γ '+ 1 )=< nowiki ></ nowiki > for γ '< γ ).
In order to " measure the size " of A, it then seems natural to take the smallest number c such that the above inequality holds for all v in V. In other words, we measure the " size " of A by how much it " lengthens " vectors in the " biggest " case.
In the case of derailleur gears the chain is usually long enough so that it can be shifted onto the largest front chain ring and the largest rear sprocket without jamming, and not so long that, when shifted onto the smallest front chain ring and the smallest rear sprocket, the rear derailleur cannot take up all the slack.
The Besloten Vennootschap met Beperkte Aansprakelijkheid ( BVBA ) in Dutch, or Société privée à responsabilité limitée ( SPRL ) in French, is the smallest, with minimum required startup capital of € 18, 550, and is mostly used by smaller business owners to protect themselves in case of bankruptcy.
In the case of a reflexive algebra of matrices with nonzero entries specified by a given pattern, the problem of finding the distance constant can be rephrased as a matrix-filling problem: if we fill the entries in the complement of the pattern with arbitrary entries, what choice of entries in the pattern gives the smallest operator norm?
In that case, including the smallest singular values in the inversion merely adds numerical noise to the solution.
Although quickselect is linear-time on average, it can require quadratic time with poor pivot choices ( consider the case of pivoting around the smallest element at each step ).
However, basements are considered standard on all but the smallest new buildings in many places with temperate continental climates such as the American Midwest and the Canadian Prairies where a concrete foundation below the frost line is needed in any case, to prevent a building from shifting during the freeze-thaw cycle.
Then H is a clutter, and is the collection of all minimal edge cuts which separate s and t. In this case is the maximum number of edge-disjoint s-t paths, and is the size of the smallest edge-cut separating s and t, so Menger's theorem ( edge-connectivity version ) asserts that.
In this case the best estimate is taken to be the smallest interval consistent with the largest number of sources.
* usually the smallest gear in a gear drive train, although in the case of John Blenkinsop's Salamanca, the pinion was rather large.
The Heilbronn triangle problem involves therefore the extremal case: the maximum of the area of the smallest triangle over all arrangements.
2.709 seconds.