; Algebraically independent elements: Elements of an extension field of F are algebraically independent over F if they don't satisfy any non-zero polynomial equation with coefficients in F.

Then Jennie closed her eyes, stretched forth her arms, and said: `` Take my hand, Louise ; ;

The same argument proves that no subfield of the real field is algebraically closed ; in particular, the field of rational numbers is not algebraically closed.

Land routes through Azerbaijan and Turkey are closed ; routes through Georgia and Iran are adequate and reliable.

* China Coast – closed in 1995 ; owned by General Mills Corp., formerly 52 locations throughout the United States

* there were no " half-open " connections ; once one end initiated a tear-down of the connection, the whole connection would be closed ( i. e., ADSP is full-duplex, not dual simplex ).

Briefly, the first Aeolus was a son of Hellen and eponymous founder of the Aeolian race ; the second was a son of Poseidon, who led a colony to islands in the Tyrrhenian Sea ; and the third Aeolus was a son of Hippotes who is mentioned in Odyssey book 10 as Keeper of the Winds who gives Odysseus a tightly closed bag full of the captured winds so he could sail easily home to Ithaca on the gentle West Wind.

* Mitosis: usually closed with an intranuclear spindle ; in some species it is open at the poles

: The old tunnel, that used to lie there under ground, a passage of Acheron-like solemnity and darkness, now all closed and filled up, and soon to be utterly forgotten, with all its reminiscences ; however, there will, for a few years yet be many dear ones, to not a few Brooklynites, New Yorkers, and promiscuous crowds besides.

The principal ironworks was built by the British Iron Company in 1825 ; it passed to the New British Iron Company in 1843 and to the Ebbw Vale Company in 1852 but closed in 1889.

* 1930: The temporary Manseibashi Subway Station opens ; it is closed in November 1931.

* There are many countable algebraically closed fields within the complex numbers, and strictly containing the field of algebraic numbers ; these are the algebraic closures of transcendental extensions of the rational numbers, e. g. the algebraic closure of Q ( π ).

Generally it is impossible to close two or three transactions at the same instant ; therefore, there is the possibility that when one part of the deal is closed, a quick shift in prices makes it impossible to close the other at a profitable price.

The original Yankee Stadium closed in 2008 to make way for a new Yankee Stadium in which the team started play in 2009 ; it's north-northeast of the 1923 Yankee Stadium, on the former site of Macombs Dam Park.

Compactness generalizes many important properties of closed and bounded intervals in the real line ; that is, intervals of the form for real numbers and.

This is not true for infinite dimensions ; in fact, a normed vector space is finite-dimensional if and only if its closed unit ball is compact.

The output in 2005 was around 4, 000 tonnes of limestone per day, one third of which was supplied to an on-site lime kiln, which closed in 2009 ; the remainder was sold as coated or dusted aggregates.

During diving, a muscular action closes the blowholes ( nostrils ), which remain closed until the cetacean next breaks the surface ; when it surfaces, the muscles open the blowholes and warm air is exhaled.

However the closed interval is complete ; the given sequence does have a limit in this interval and the limit is zero.

Dartmoor Prison was reopened in 1851 as a civilian prison, but was closed again in 1917 to be converted into a Home Office Work Centre for certain conscientious objectors granted release from prison ; cells were unlocked, inmates wore their own clothes, and could visit the village in their off-duty time.

By 1968, the number of dance clubs started to decline ; most American clubs either closed or were transformed into clubs featuring live bands.

Ellipses are closed curves and are the bounded case of the conic sections, the curves that result from the intersection of a circular cone and a plane that does not pass through its apex ; the other two ( open and unbounded ) cases are parabolas and hyperbolas.

Since then, nature and man have closed all but two main outlets: the east branch, Damietta ( also seen as Dumyat ; 240 km long ), and the west branch, Rosetta ( 235 km long ).

The field, then, is ripe for new Southerners to step to the fore and write of this twentieth-century phenomenon, the Southern Yankeefication: the new urban economy, the city-dweller, the pains of transition, the labor problems ; ;

For example, there are persons who are in physical science, in the field of mineralogy, trained in crystallography, who use only X-rays, applying only the powder technique of X-ray diffraction, to clay minerals only, and who have spent the last fifteen years concentrating on the montmorillonites ; ;

In a symposium and general exploration of the field of Personal Perception and Interpersonal Behavior the discussion does not touch upon this aspect of the subject, with one possible exception ; ;

He had come to learn that a reputation for peculiarity allowed mere field officers a certain leeway at Court ; ;

In support of the emphasis placed by the Department of Defense on instruction in emergency medical care, the Medical Illustration Service developed casualty simulation kits and rescue breathing manikins which are being field tested ; ;

Mossberg's latest contribution to the field is the Model 500 ( from $73.50 ) ; ;

Many studies indicate that elementary-school children's interests cover the whole field of science ; ;

he hunts folklore for the very `` field and stream '' reasons that many persons hunt game ; ;

Indeed, it is in the field of transportation that Congress has most frequently granted employers exemption from the anti-trust laws ; ;

In Greece, there was since the 19th century a science of the folklore called laographia ( laography ), in the form of " a science of the interior ", although theoretically weak ; but the connotation of the field deeply changed after World War II, when a wave of Anglo-American anthropologists introduced a science " of the outside ".

The same kind of work that Einstein did, the same kind of work, using the same methods ; but in a much broader field, much more close to human relationships.

If one quantizes a real scalar field, then one finds that there is only one kind of annihilation operator ; therefore, real scalar fields describe neutral bosons.

Louisa May Alcott, who was ten years old at the time, later wrote of the experience in Transcendental Wild Oats ( 1873 ): " The band of brothers began by spading garden and field ; but a few days of it lessened their ardor amazingly.

Alfred's military reorganisation of Wessex consisted of three elements: the building of thirty fortified and garrisoned towns ( burhs ) along the rivers and Roman roads of Wessex ; the creation of a mobile ( horsed ) field force, consisting of his nobles and their warrior retainers, which was divided into two contingents, one of which was always in the field ; and the enhancement of Wessex's seapower through the addition of larger ships to the existing royal fleet.

It is very easy to establish by induction on R that if F is in Af then Af ; ;

When there are only two means to compare, the t-test and the ANOVA F-test are equivalent ; the relation between ANOVA and t is given by F = t < sup > 2 </ sup >.

* Pei Wei Asian Diner – throughout the United States ; a subsidiary of P. F.

* P. F. Chang's China Bistro – throughout the United States ; features California-Chinese fusion cuisine

Smiley later wrote to Johnson, saying he was ready to fight ; a potential duel was prevented by the intervention of Washington Burrow and Benjamin F. Cheatham.

Republic F-105 Thunderchief | F &# 8209 ; 105 Thunderchief with avionics laid out

Aircraft like the F &# 8209 ; 15E and the now retired F &# 8209 ; 14 have roughly 80 percent of their budget spent on avionics.

* Avery Hopwood: His Life and Plays, by Jack F. Sharrar ( McFarland, 1989 ; University of Michigan Press, 1998 )

Thus, all the antiderivatives of x < sup > 2 </ sup > can be obtained by changing the value of C in F ( x ) = ( x < sup > 3 </ sup >/ 3 ) + C ; where C is an arbitrary constant known as the constant of integration.

At both Choate and Harvard, Lerner was a classmate of John F. Kennedy ; at Choate they had worked together on the yearbook staff.

Camelot was a hit nonetheless, with a poignant coda ; immediately following the assassination of John F. Kennedy, his widow told Life magazine that JFK's administration reminded her of the " one brief shining moment " of Lerner and Loewe's Camelot.

J. Diggle and F. R. D. Goodyear ( 1972 ; 3 vols.

* Lanoue, David J. and Craig F. Emmert ; " Voting in the Glare of the Spotlight: Representatives ' Votes on the Impeachment of President Clinton " Polity, Vol.

Current examples: F-15E Strike Eagle, F / A-18 Hornet, Sukhoi Su-34 ' Fullback ', Chengdu J-10, Xian JH-7, Dassault-Breguet Mirage 2000, and the Panavia Tornado ; historical examples: Ilyushin Il-2 Shturmovik, Heinkel He 111, Dornier Do 17, Dornier Do 215, Junkers Ju 88, Junkers Ju 87 Stuka, P-47 Thunderbolt, Hawker Typhoon, and F-4 Phantom II.

The upgrade is being carried out by Embraer and Elbit ; it includes a new avionics suite, a full glass cockpit with three MFDs, HOTAS configuration and a new multimode radar, the Italian Grifo F. The first F-5EM was handed over on September 21, 2005, and it is scheduled at a rate of two aircraft being delivered each month from that date onwards.

" In addition to the lack of evidence, scientists cite the fact that Bigfoot is alleged to live in regions unusual for a large, nonhuman primate, i. e., temperate latitudes in the northern hemisphere ; all recognized nonhuman apes are found in the tropics of Africa and Asia ( although some smaller primates, such as Japanese macaques, are found in Asia up to the latitude of Northern California, and can cope with air temperatures to-20 ° C (- 4 ° F )).

He was also allegedly involved in a CIA plot to assassinate Fidel Castro ; documents uncovered during congressional investigations into John F Kennedy's death bring to light a message outlining how he had plans to assassinate Castro, his brother Raúl Castro, and Che Guevara.

** West Bay-every 15 minutes, Su-Th 6AM-11PM ; F, Sa 6AM-12AM.

** Bodden Town-Every 30 minutes, Su-Th 6AM-11PM ; F, Sa 6AM-12AM.

The 21 consonant letters in the English alphabet are B, C, D, F, G, H, J, K, L, M, N, P, Q, R, S, T, V, X, Z, and usually W and Y: The letter Y stands for the consonant in " yoke ", the vowel in " myth " and the vowel in " funny ", and " yummy " for both consonant and vowel, for examples ; W almost always represents a consonant except in rare words ( mostly loanwords from Welsh ) like " crwth " " cwm ".

Only bromine and mercury are liquids at 0 degrees Celsius ( 32 degrees Fahrenheit ) and normal atmospheric pressure ; caesium and gallium are solids at that temperature, but melt at 28. 4 ° C ( 83. 2 ° F ) and 29. 8 ° C ( 85. 6 ° F ), respectively.