Saying this another way, K is contained in a separably-closed algebraic extension field.

According to Brønsted – Lowry acid-base theory, acids are substances that donate a positive hydrogen ion to another substance in a chemical reaction ; by extension, a base is the substance which receives that hydrogen ion.

Such a function, intuitively, represents a programming language with the property that no valid program can be obtained as a proper extension of another valid program.

Fellini welcomed the assignment as it allowed him " to secure another extension on his draft order ".

Strike-slip faults occur when rock units slide past one another, normal faults occur when rocks are undergoing horizontal extension, and thrust faults occur when rocks are undergoing horizontal shortening.

He concluded that, in the relatively recent past, Switzerland had been another Greenland ; that instead of a few glaciers stretching across the areas referred to, one vast sheet of ice, originating in the higher Alps, had extended over the entire valley of northwestern Switzerland until it reached the southern slopes of the Jura, which, though they checked and deflected its further extension, did not prevent the ice from reaching in many places the summit of the range.

The real and serious android of the ancients was a secret which they kept hidden from all eyes, and Mesmer was the first who dared to divulge it ; it was the extension of the will of the magus into another body, organised and served by an elementary spirit ; in more modern and intelligible terms, it was a magnetic subject.

Though the occasions of experience are atomic, they are not necessarily separate in extension, spatiotemporally, from one another.

alt = Photo of mostly transparent diatoms of varying shapes: one resembles a bagel, another a short length of tape, others look like tiny kayaksThe name plankton is derived from the Greek adjective πλαγκτός-planktos, meaning " errant ", and by extension " wanderer " or " drifter ".

If it is another extension, the operator places the front cord in the associated jack and pulls the front key backwards to ring the called party.

By extension, moving an entire session from one X server to another is generally not possible.

Somewhat later, toward the end of LHIIIB, another extension to the citadel was undertaken.

The loss of talent from dismissed employees is another obstacle to program extension.

Other distinguishing features of the order are the presence of protrusible eyes, another adaptation to living on the seabed ( benthos ), and the extension of the dorsal fin onto the head.

However, the extension of this herd into the Book Cliffs of Central Utah involved mixing the founders with additional bison from another source, so it is not known if the Book Cliff extension of the herd is also free of cattle hybridization.

* The right of U. S. forces to use Diego Garcia in the Chagos Islands as a military base will end, but there will be a provision for an automatic extension for them to remain for another 20 years.

I think that's a very traditional myth which goes back to ... let's say Plato, Rousseau ... And instead of thinking that we are living at the end of writing, I think that in another sense we are living in the extension – the overwhelming extension – of writing.

This extension renewed the Act for another 25 years.

A curious extension of the lex talionis is the death of a creditor's son for his father's having caused the death of a debtor's son as mancipium ; of a builder's son for his father's causing the death of a house owner's son by bad construction ; the death of a man's daughter because her father caused the death of another man's daughter.

By extension, no person may hold a role that exercises audit, control or review authority over another, concurrently held role.

Apple has also created another recent extension to the AIFF format in the form of Apple Loops used by GarageBand and Logic Audio, which allows the inclusion of data for pitch and tempo shifting by an application in the more common variety, and MIDI-sequence data and references to GarageBand playback instruments in another variety.

Two of the principal addresses were delivered by prominent Protestants, and when the speaker was a Catholic, one `` discussant '' on the dais tended to be of another religious persuasion.

Willingness to take the risk of early and direct interpretation ( with the proviso that if the interpretation is too threatening, the worker can withdraw ) is another prominent feature in these efforts.

Located around three-quarters of the way along the length of the body, it varies in shape from one individual to another ; some only have a barely perceptible lump, but others may have prominent and falcate ( sickle-shaped ) dorsals.

These areas are grouped around asterisms ( which themselves are generally referred to in non-technical language as " constellations "), which are patterns formed by prominent stars within apparent proximity to one another on Earth's night sky.

Michelle became an ever-more prominent part of the Street, with Kym Marsh receiving £ 100, 000 for another year on the soap.

Todd Phillips is another prominent bluegrass player.

* Paul Ricoeur was another prominent supporter and interpreter of Derrida's philosophy.

During the 1950s and 1960s, Peter van de Kamp of Swarthmore College made another prominent series of detection claims, this time for planets orbiting Barnard's Star.

One often cited example, though perhaps not Luther's chief concern, is a condemnation of the selling of indulgences ; another prominent point within the 95 Theses is Luther's disagreement both with the way in which the higher clergy, especially the pope, used and abused power, and with the very idea of the pope.

One after another, prominent officials were shot or killed by bombs.

René Thom was another prominent figure in its early history.

The Keswicks have maintained a relationship with another prominent Scottish family, the Flemings, of which the author Ian Fleming was also a member.

The wave feature is another prominent design, which uses a part of the blade that protrudes outward to catch on one's pocket as it is drawn, thus opening the blade ; this was patented by Ernest Emerson and is not only used on many of the Emerson knives, but also on knives produced by Spyderco and Cold Steel as well.

Another prominent tether is Sigma-1R, another chaperone whose stabilization of ER-resident IP3R has been proposed to preserve communication at the MAM during the metabolic stress response.

" It noted, in addition to merchants selling radio sets, " others display mostly accessories ... one shopkeeper last week featured a crystal set small enough to fit into a pocket, and another gave prominent position to a bucket of condensers about an inch in side.

Rolf Nevanlinna's grandfather Edavard Engelbert Neovius ( 1823 – 88 ), a major general in the Czar's army, taught mathematics in the Hamina Cadet School, Nevanlinnas father Otto Neovius-Nevanlinna ( 1867 – 1927 ) was a prominent mathematics teacher while one of his uncles was a mathematics professor and another a mathematics teacher.

At the same time, however, and owing to both the presence of another prominent sociologist at the Institute, Karl Mannheim, as well as the methodological problem posed by treating objects-like " musical material "-as ciphers of social contradictions, Adorno was compelled to abandon any notion of " value-free " sociology in favor of a form of ideology critique which held on to an idea of truth.

* Mariner-like elements are another prominent class of transposons found in multiple species including humans.

Girodet's La Révolte du Caire ( 1810 ) was another large and prominent example.

The poet Virgil was another prominent Epicurean ( see Lucretius for further details ).

Many Rastas do not claim any sect or denomination, and thus encourage one another to find faith and inspiration within themselves, although some do identify strongly with one of the " mansions of Rastafari " — the three most prominent of these being the Nyahbinghi, the Bobo Ashanti and the Twelve Tribes of Israel.

Two of Grace Kelly's uncles were prominent in the arts ; her father's eldest brother, Walter C. Kelly ( 1873 – 1939 ), was a vaudeville star whose nationally known act The Virginia Judge was filmed as a 1930 MGM short and a 1935 Paramount feature, and another older brother, George Kelly ( 1887 – 1974 ), estranged from the family due to his homosexuality, became renowned in the 1920s as a dramatist, screenwriter and director with a hit comedy-drama, The Show Off in 1924 – 25, and was awarded the 1926 Pulitzer Prize for Drama for his next play, Craig's Wife.

The new city was designed by many of the most prominent artists and architects in Italy, but done in a piecemeal fashion so that the parts of the new city bear little relation to one another or to the indigenous architecture of Sicily.

This text sheds light on aspects of Jan van Eyck's production now lost, citing a bathing scene owned by a prominent Italian, but mistakenly attributing to van Eyck a world map painted by another.