Instead of listing every single element, sometimes an ellipsis ("...") is used, if the writer believes that the reader can easily guess what is missing ; for example, presumably denotes the set of integers from 1 to 100.

Instead, the change in energy for a given change in occupation of states contains terms both linear and quadratic in ( for the Fermi gas, it would only be linear,, where denotes the single-particle energies ).

Instead, it denotes ( somewhat circularly ) a judge or judicial officer who is capable of hearing and deciding a particular matter.

Instead, the term " upstage " is used to denote the part of the stage furthest from the audience or to motion away from the audience, while " downstage " denotes the portion of the stage closest to the audience or to motion in that direction.

Instead, a popular theory suggests linguistic updating, which is when " late forms may not in fact have been original to the book but may reflect the updating of vocabulary and grammar by later scribes so their contemporaries could understand the book better.

Instead of the original fattoria, the phonetic adaptation American Italian farma ( Weinreich 1963: 49 ) became the new signifier for " farm "— see " one-to-one correlation between signifiers and referents ".

Instead of returning it to the original owners, he preferred to distribute it amongst his soldiers.

Instead of an internal power supply like the original system had, the Intellivision II would use an external AC adapter.

Instead, it is passively replicated along with the host genome and passed on to the original cell's offspring ; all descendants of the infected cell will also bear proviruses in their genomes.

Instead of conscious planning, the Soviet economy was based on a process whereby the plan was modified by localized agents and the original plans went largely unfulfilled.

Instead the mausoleum, which is open to visitors, now has two sarcophagi: the empty one made of marble and the original wooden one, which holds Saladin.

Instead, McLean modified his original concept into loading just the containers, not the chassis, onto the ships, hence the designation container ship or " box " ship.

Instead of the dry ice stage effect, the group used original military smoke bombs which was as unpleasant for themselves as for the audience.

Instead, a majority of the budget was spent on drugs, alcohol, and food so thus the band was forced to fire their original producer and produce the album themselves.

Instead the developer would get a vague indication along with an error code, without any ability to match it to lines in the original code.

Instead they simply bolted an entirely new set of panels onto the bridge on top of the original set, a technique that later became a standard feature.

Instead of going up in weight, like most boxers throughout history have done after losing the title in their original division, Ortiz went down in weight, and challenged world champion Joe Brown ( also a member of the International Boxing Hall Of Fame ).

Instead of the original SQLCA, error information should now be retrieved by successive executions of a GET DIAGNOSTICS statement.

Instead, a replica weighing ( 1, 000 pounds for each of the original states ) was cast.

Instead they regarded Opabinia ′ s lobe + gill arrangement as an early form of the biramous limbs which are seen in trilobites and crustaceans and which may be the original form in all arthropods.

Instead of following the original ad hoc layout ( seven churches around the central core ), Ivan's architects opted for a more symmetrical floor plan with eight side churches around the core, producing " a thoroughly coherent, logical plan " despite the erroneous latter " notion of a structure devoid of restraint or reason " influenced by the memory of Ivan's irrational atrocities.

Instead of continuing to use the side-scrolling perspective introduced to the series by Zelda II: The Adventure of Link, A Link to the Past reverts to an overhead perspective similar to that of the original.

Instead of creating entirely new opening / closing sequences, NTA replaced the Paramount logos with their own, and on other title cards, all references to Paramount, Technicolor, Cinecolor, and Polacolor were replaced with black bars, including the original copyright notice.

Instead it was made as an independent game, even though it retains most of the original style.

Instead it is a corruption of the original French words meaning " beautiful headland ".

Instead, the original was edited in a " checkerboard " pattern, with each shot synchronized to an equal length of opaque leader on a second roll.

Instead, it was decided that Number 10 ( and Numbers 11 and 12 ) would be rebuilt using as much of the original materials as possible.

Instead of the original Integer BASIC, the Apple II Plus firmware included the newer Applesoft II floating point BASIC.

Instead, in yeast, it has been shown to be dependent on a multiprotein tethering structure termed the ER-mitochondria encounter structure, or ERMES, although it remains unclear whether this structure directly mediates lipid transfer or is required to keep the membranes in sufficiently close proximity to lower the energy barrier for lipid flipping.

Instead, invoking the command object's execute command results in a so called Executed Routed Event which during the event's tunneling or bubbling may encounter a so called binding object that identifies the target and the application code, which is executed at that point.

Instead, he and Albert climb across craggy cliffs and encounter such sights as a swarm of insects that attack people's bodies.

Instead of giving themselves spontaneously to the orgiastic release that jazz can give them, they undergo psychoanalysis or flirt with mysticism or turn to prostitutes for satisfaction.

Instead of radiators you'll have cooling-heating units, each with its own thermostat.

Instead, he constantly became lost in parts and components of them, confused some of their details with those of neighboring objects, and so on, unless he allowed time to `` trace '' the object in question through minute movements of the head and hands and in this way to discover its contours.

Instead of isolating the literal flatness by specifying and circumscribing it, the pasted paper or cloth releases and spreads it, and the artist seems to have nothing left but this undepicted flatness with which to finish as well as start his picture.

Instead he brought with him the names of some people he had never met and of whom the medium knew nothing.

Instead, the audience can sit back at ease and, from the perspective of an enlightened time which no longer believes in such things, enjoy the dead seriousness with which the characters in the play take the witches and devils which are under discussion.

Instead of linking the nine numbers of this diagram with the traditional Nine Provinces, as was usually done, this equated the odd, Yang numbers with mountains ( firm and resistant, hence Yang ) and the even numbers with rivers ( sinuous and yielding, hence Yin ) ; ;

Instead -- and not just to prove my objectivity -- I hasten to report that it's a highly amusing film which probably does a fairly accurate job of reporting on the Easter vacation shenanigans of collegians down in Fort Lauderdale, and that it seems to come to grips quite honestly with the moral problem that most commonly vexes youngsters in this age group -- that is to say, sex.

Instead the cartoons seem to deal with foibles.

Instead of having a pulp cavity, each tooth has a cluster of thin, upright, parallel tubes of vasodentin ( a modified form of dentine ), with individual pulp canals, held together by cementum.

Instead of starting from theory and applying theory to a particular case, casuists start with the particular case itself and then ask what morally significant features ( including both theory and practical considerations ) ought to be considered for that particular case.

Instead, the irrigated agriculture project was headed for completion with apparently no prospects for extension beyond 2011.

Instead, Rufinus attempted to negotiate with Alaric in person, which only aroused suspicions in Constantinople that Rufinius was in league with the Goths.

Instead, that night ( July 17 / 18 ), Alexios III hid in the palace, and finally, with one of his daughters, Eirene, and such treasures ( 1, 000 pounds of gold ) as he could collect, got into a boat and escaped to Debeltos in Thrace, leaving his wife and his other daughters behind.

Instead of just establishing it as a military prison, he provided for a civil administration, with courts of law.

Instead, AMOS BASIC controlled the computer directly, which caused programs written in it to have a non-standard user interface, and also caused compatibility problems with newer versions of the operating system.

Instead of using Vermin's tired characters, Abner inventively peopled the strip with hillbillies.

Since the 2002 edition, the Apostles ' Creed is included in the Roman Missal with the indication, " Instead of the Niceno-Constantinopolitan Creed, especially during Lent and Easter time, the baptismal Symbol of the Roman Church, known as the Apostles ’ Creed, may be used.

Instead of reviewing music videos, they reviewed ( custom-made ) pages from other Marvel Comics — in one with Ghost Rider, Beavis tries to avoid using the word " fire " to describe the character's fiery skull.

Instead, space itself expands with time everywhere and increases the physical distance between two comoving points.

Instead, it is put in parallel with chapter 4 ( C ) where divine judgements are pronounced against the Babylonian kings.

Instead, the Hebrew name Ahasuerus accords with an inscription of the time that notes that Artaxerxes II was named also Arshu, understood as a shortening of Achshiyarshu the Babylonian rendering of the Persian Khshayarsha ( Xerxes ), through which the Hebrew Achashverosh ( Ahasuerus ) is derived.