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Page "Limit (category theory)" ¶ 22
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with and limits
so that a line running down the length of the South marking the upper limits of tidewater would roughly divide the Old South from the new, but with, of course, important minority enclaves.
The limits are suggested by an imaginary experiment: contrast the perceptual skill of English professors with that of their colleagues in discriminating among motor cars, political candidates, or female beauty.
the purpose of producing plays at the College is three-fold: to provide the Carleton students with the best possible opportunity for theater-going within the limits set by the maturity and experience of the performers and the theatrical facilities available ; ;
In orchestration, he stretches the limits of instrumentation with good judgment and a fine imagination for color.
It should be possible, however, to put useful limits on the diameters of the radio sources by observing with large reflectors or with interferometers.
With due consideration for the limits of precision in assessing, expected rate of change in ossification of girls age 2 years, and the known variations in rate of ossification of these children as described in our preceding paper in the Supplement, each arrow with a `` shaft length '' of four months or less was selected as indicating `` same schedule '' at Onset and Completion, for this particular epiphysis.
States were free to enact, within broad, though ( perhaps ) determinate limits, their own rules as to the application of foreign law by their courts, to vary the law merchant, and to enact legislation with regard to many claims arising on the high seas.
The tenacity with which present metaphysical attitudes fetishize private intuition offers the strongest evidence that the gulf between scientific and delphic ways of philosophizing is built into the present conflict over the limits and purpose of science, religion and ideology.
That is true at sea level ; those limits increase with elevation above sea level although in mountainous regions, there is often no direct view of the true horizon.
More recently Twitter, a popular social network service, began driving abbreviation use with 140 character message limits.
One concern with this therapeutic strategy is the use of genetically engineered viruses, which limits certain aspects of phage therapy.
As computers increasingly became graphically oriented, successive generations of graphics adapters began to push the limits of PCI, a bus with shared bandwidth.
SAR performance limits mean that the fastest IP router ATM interfaces are STM16-STM64 which actually compares, while POS can operate at OC-192 ( STM64 ) with higher speeds expected in the future.
Because the United States Constitution sets no limits on this tripartite authority of administrative agencies, Congress enacted the APA to establish fair administrative law procedures to comply with the constitutional requirements of due process.
The Gaussian theory, however, is only true so long as the angles made by all rays with the optical axis ( the symmetrical axis of the system ) are infinitely small, i. e. with infinitesimal objects, images and lenses ; in practice these conditions are not realized, and the images projected by uncorrected systems are, in general, ill defined and often completely blurred, if the aperture or field of view exceeds certain limits.
Hipparcos also suggested that Arcturus is a binary star, with the companion about twenty times dimmer than the primary and orbiting close enough to be at the very limits of our current ability to make it out.
Between the limits, the strait is long, with a width of at the northern entrance and at the southern entrance.
In 1949, he erected his first geodesic dome building that could sustain its own weight with no practical limits.
Beit Jala and the latter form an agglomeration with Bethlehem and the Aida and Azza refugee camps are located within the city limits.
Indeed, in the largest biological weapons accident known – the anthrax outbreak in Sverdlovsk ( now Yekaterinburg ) in the Soviet Union in 1979, sheep became ill with anthrax as far as 200 kilometers from the release point of the organism from a military facility in the southeastern portion of the city ( known as Compound 19 and still off limits to visitors today, see Sverdlovsk Anthrax leak ).
Barcelona (,, ) is the capital of Catalonia and the second largest city in Spain, after Madrid, with a population of 1, 621, 537 within its administrative limits on a land area of.
The urban area of Barcelona extends beyond the administrative city limits with a population of between 4, 200, 000 and 4, 500, 000 within an area of, being the sixth-most populous urban area in the European Union after Paris, London, the Ruhr, Madrid and Milan.
For the first time, not only manufacturers, but also importers and distributors share a responsibility to ensure Electrical and Electronic Equipment within the scope of RoHS comply with the hazardous substances limits and have a CE mark on their products.

with and if
As I dug in behind one of the bales we were using as protection, I grudgingly found myself agreeing with Oso's logic, especially when I imagined what would have happened to Missy if Old Knife's large party of screeching warriors had overrun our company.
Besides, 'tain't no more'n right for me to follow with my black oxen, so's I can unhook and pull up fast if either of you get in a pinch ''.
Let me pass over the trip to Sante Fe with something of the same speed which made Mrs. Roebuck `` wonduh if the wahtahm speed limit '' ( 35 m.p.h. ) `` is still in ee-faket ''.
It was as if they could hardly wait to get into their costumes, cover their faces with masks and go adventuring.
The husband points the steps out with his flashlight: `` Its white stare filling her pale eyes To the blind brim with appetite, Bleaching her hands that grazed my thighs And sent us from the table in surprise To let the dishes soak all night, '' ( Mary Jane asked herself if Meredith was blushing at this line, or was it the fire??
The big man with the whitened hair murmured something: his words sounded as if they were in the Manu tongue, which I recognized, having studied the dialect in my Anthropology 6, class at the University of Chicago.
Why, in the first place, call himself a liberal if he is against laissez-faire and favors an authoritarian central government with womb-to-tomb controls over everybody??
Seeking an obscure, dark, relatively quiet corner in the airy room otherwise suffused with afternoon sunshine, he asked if the soft background music could be turned off.
Yet he presents a realm of source material which may well serve other writers if not himself: the problems with which a New South must grapple in groping through a blind adolescence into the maturity of urbanization.
If his dancers are sometimes made to look as if they might be creatures from Mars, this is consistent with his intention of placing them in the orbit of another world, a world in which they are freed of their pedestrian identities.
They look as if they had been sculptured with an unsharpened chisel.
I was having lunch not long ago ( apologies to N. V. Peale ) with three distinguished historians ( one specializing in the European Middle Ages, one in American history, and one in the Far East ), and I asked them if they could name instances where the general mores had been radically changed with `` deliberate speed, majestic instancy '' ( Francis Thompson's words for the Hound Of Heaven's Pursuit ) by judicial fiat.
Thus, if corporations are not to run away with us, they must become quasi-governmental institutions, subject to public control and needs.
That, however, may also bring the police, if the thinking does not meet with social approval.
Yet with a mind less shallow, if less sharp, than some of the fortune-happy syndicates which back him, he feels what he cannot formulate ; ;
Only by means of an intensive preoccupation with the detailed considerations following from any decision can he ensure attention to the practical details to be dealt with if the implications of immorality in the major decision are effectively to be checked.
nor was she moved by a letter from Wright pointing out that if he was not `` compelled to spend money on useless lawyer's bills, useless hotel bills, and useless doctor's bills '', he could more quickly provide Miriam with a suitable home either in Los Angeles or Paris, as she preferred.
New Nations, and others struggling with the problems of development, will progress only -- regardless of any outside help -- if they demonstrate faith in their own destiny and use their own resources to fulfill it.
What policies if adopted and applied in various circumstances will increase the likelihood that future events will coincide with desired events and do so at least cost in terms of all human values??
after all, the large ( and probably unreliable ) Reader's Digest literature on the `` most unforgettable character I ever met '' deals with village grocers, country doctors, favorite if illiterate aunts, and so forth.
William Wimsatt and Cleanth Brooks, it seems to me, have a penetrating insight into the way in which this control is effected: `` For if we say poetry is to talk of beauty and love ( and yet not aim at exciting erotic emotion or even an emotion of Platonic esteem ) and if it is to talk of anger and murder ( and yet not aim at arousing anger and indignation ) -- then it may be that the poetic way of dealing with these emotions will not be any kind of intensification, compounding, or magnification, or any direct assault upon the affections at all.

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