This theorem is similar to the theorem of Kakutani that there exists a circumscribing cube around any closed, bounded convex set in Af.

This is true of all components which have such a bounded support.

The tract is bounded by Island Ave., Dicks Ave., 61st St., and Eastwick Ave..

The Atlantic Ocean is bounded on the west by North and South America.

** A uniform space is compact if and only if it is complete and totally bounded.

The region is bounded by the Black Sea to the north, the Mediterranean Sea to the south and the Aegean Sea to the west.

The Anatolian peninsula, also called Asia Minor, is bounded by the Black Sea to the north, the Mediterranean Sea to the south, the Aegean Sea to the west, and the Sea of Marmara to the northwest, which separates Anatolia from Thrace in Europe.

Under this definition, Anatolia is bounded to the East by the Armenian Highland, and the Euphrates before that river bends to the southeast to enter Mesopotamia.

To the southeast, it is bounded by the ranges that separate it from the Orontes valley in Greater Syria and the Mesopotamian plain.

thus, as T decreases, ΔG and ΔH approach each other ( so long as ΔS is bounded ).

We now consider how the choice of description language affects the value of K, and show that the effect of changing the description language is bounded.

The South African plateau, as far as about 12 ° S, is bounded east, west and south by bands of high ground which fall steeply to the coasts.

It lies on Abadan Island ( long, 3 – 19 km or 2 – 12 miles wide, the island is bounded in the west by the Arvand waterway and to the east by the Bahmanshir outlet of the Karun River ), from the Persian Gulf, near the Iraqi-Iran border.

The ACT is bounded by the Goulburn-Cooma railway line in the east, the watershed of Naas Creek in the south, the watershed of the Cotter River in the west, and the watershed of the Molonglo River in the north-east.

The Arabian Sea ( Persian Sea ) is a region of the Indian Ocean bounded on on the north by Pakistan and Iran, on the south by northeastern Somalia, on the east by India and on the west by the Arabian Peninsula.

However, the recursion is bounded because in each recursive application either m decreases, or m remains the same and n decreases.

It is bounded by the Scandinavian Peninsula, the mainland of Europe, and the Danish islands.

The Black Sea is bounded by Europe, Anatolia and the Caucasus and is ultimately connected to the Atlantic Ocean via the Mediterranean and the Aegean Seas and various straits.

Since Bulgarian lev is anyway bounded to Euro Bulgaria is looking for more positive outcomes of the becoming a member of the Eurozone rather than risks.

In general, a linear mapping on a normed space is continuous if and only if it is bounded on the closed unit ball.

Note that the requirement that the maps be continuous is essential ; if X is infinite-dimensional, there exist linear maps which are not continuous, and therefore not bounded.

It is possible, although highly doubtful, that he killed none at all but merely let his reputation work for him by privately claiming every unsolved murder in the state.

The place is inhabited by several hundred warlike women who are anachronisms of the Twentieth Century -- stone age amazons who live in an all-female, matriarchal society which is self-sufficient ''.

since Bourbon whiskey, though of Kentucky origin, is at least as much favored by liberals in the North as by conservatives in the South.

In fact it has caused us to give serious thought to moving our residence south, because it is not easy for the most objective Southerner to sit calmly by when his host is telling a roomful of people that the only way to deal with Southerners who oppose integration is to send in troops and shoot the bastards down.

But apart from racial problems, the old unreconstructed South -- to use the moderate words favored by Mr. Thomas Griffith -- finds itself unsympathetic to most of what is different about the civilization of the North.

The two main charges levelled against the Bourbons by liberals is that they are racists and social reactionaries.

It became the sole `` subject '' of `` international law '' ( a term which, it is pertinent to remember, was coined by Bentham ), a body of legal principle which by and large was made up of what Western nations could do in the world arena.

Ratified in the Republican Party victory in 1952, the Positive State is now evidenced by political campaigns being waged not on whether but on how much social legislation there should be.

He was, and is, with the RAND Corporation, a nonprofit pool of thinkers financed by the U.S. Air Force.

They are huge areas which have been swept by winds for so many centuries that there is no soil left, but only deep bare ridges fifty or sixty yards apart with ravines between them thirty or forty feet deep and the only thing that moves is a scuttling layer of sand.

It is softened by the saltbush and the bluebush, has a peaceful quality, the hills roll softly.

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.

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.

All but the most rabid of Confederate flag wavers admit that the Old Southern tradition is defunct in actuality and sigh that its passing was accompanied by the disappearance of many genteel and aristocratic traditions of the reputedly languid ante-bellum way of life.

Westbrook further bemoans the Southern writers' creation of an unreal image of their homeland, which is too readily assimilated by both foreign readers and visiting Yankees: `` Our northerner is suspicious of all this crass evidence ( of urbanization ) presented to his senses.

As his disciples boast, even though his emphasis is elsewhere, Faulkner does show his awareness of the changing order of the South quite keenly, as can be proven by a quick recalling of his Sartoris and Snopes families.

The unit of form is determined subjectively: `` the Heart, by the way of the Breath, to the Line ''.

`` This is Mitchell Barton.

Other utilitarian-type views include the claims that the end of action is survival and growth, as in evolutionary ethics ( the 19th-century English philosopher Herbert Spencer ); the experience of power, as in despotism ( the 16th-century Italian political philosopher Niccolò Machiavelli and the 19th-century German Friedrich Nietzsche ); satisfaction and adjustment, as in pragmatism ( 20th-century American philosophers Ralph Barton Perry and John Dewey ); and freedom, as in existentialism ( the 20th-century French philosopher Jean-Paul Sartre ).

The Barton evaporation engine is a heat engine based on a cycle producing power and cooled moist air from the evaporation of water into hot dry air.

* 1881 – The American Red Cross is established by Clara Barton in Washington, D. C ..

* September 24 – Edmund Barton steps down as Prime Minister of Australia and is succeeded by Alfred Deakin.

* May 21 – The American Red Cross is established by Clara Barton.

* The use of street lighting is first recorded in London, when Sir Henry Barton, the mayor, orders lanterns with lights to be hung out on the winter evenings between Hallowtide and Candlemas.

The underlying problem, according to professor of pediatrics Barton D. Schmitt, is " as parents we tend to suspect that our children ’ s brains may melt.

There was also another station in Hereford which is now closed, this was Hereford Barton.

He is the son of Barton Swift, the founder of the Swift Construction Company.

Guest hosts have included Khloé Kardashian Odom, Ryan Lochte, Scott Disick, Jay Manuel, Nicki Minaj, Aubrey O ' Day, Ali Fedotowsky, Nicole " Snooki " Polizzi, Ciara, Melanie Brown, Tori Spelling, Kimora Lee Simmons, Chelsea Kane, Mischa Barton, Kylie Minogue and Joan's daughter Melissa Rivers, who is also executive producer.

The South Austin Jug Band is a young Austin, Texas group that plays newer variations on traditional music but does not include a jug player and is not related to the earlier Austin Jug Band which featured vocalists Danny Barton and Galen Barber.

Reckless test pilot Jim Lane ( Clark Gable ) is forced to land on a Kansas farm in his aircraft, the " Drake Bullet " ( SEV-S2 NR70Y, a modified civilian racer version of the U. S. Army Air Corps P-35 ), where he meets Ann Barton ( Myrna Loy ).

Championing the bad quarto theory, Ann Barton says, A Shrew is " now generally believed to be either a pirated and inaccurate version of Shakespeare's comedy or else a " bad quarto " of a different play, now lost, which also served Shakespeare as a source.

Of the four men whose ideas were adopted, neither Charles Thomson, Pierre Du Simitière nor William Barton were Masons and, while Francis Hopkinson has been alleged to have had Masonic connections, there is no firm evidence to support the claim.

Bud Abbott and Lou Costello Meet Frankenstein-the film's poster title-or Bud Abbott Lou Costello Meet Frankenstein-the onscreen title-( although the film is often referred to as simply Abbott and Costello Meet Frankenstein ) is a 1948 American comedy horror film directed by Charles Barton and starring the comedy team of Abbott and Costello.

Barton is also one of only seven four-time Putnam Fellow ( 2001, 2002, 2003, 2004 ).

Fred Barton, a robot historian, is credited with saving Robby from ruin and completely restoring him to his original state ; Barton used original duplicate replacement parts made for Forbidden Planet by MGM's prop department.

In the Arizona House of Representatives it is represented by Republican Chester Crandall and Republican Brenda Barton.

Barton Turf is a village and civil parish in the English county of Norfolk.

The village is situated some 20 km north-east of the city of Norwich, on the northwestern edge of Barton Broad, the second largest broad of the Norfolk Broads For the purposes of local government, the parish falls within the district of North Norfolk.

Barton Turf church, situated a mile from the village, is noted for containing a very rare surviving example of a medieval rood screen across the chancel arch.