Instead, much of numerical analysis is concerned with obtaining approximate solutions while maintaining reasonable bounds on errors.

Instead, solutions can be approximated using numerical methods.

Instead, the position of the small board where that player won is marked on a 3x3 grid, and a player wins when they form 3-in-a-row on that grid.

Instead, he decided to use the " geometrical flat floor " grid developed twenty years before by Oxford professor John Wallis.

Instead, the Roman Grid was spread around the Mediterranean and into northern Europe later on during " the late Republic and the early Empire " period that saw dissemination of the grid plan throughout this area.

Instead of the rigid north-south grid of the township and range system, in 1854, Silverton's founder Polly Coon Price, planned the town around a large old Oregon White Oak, locating the town square around it.

Instead of a traditional street grid, their street networks are hierarchical, consisting of winding parkways ( often lacking sidewalks ) that feed into arterial roads or freeway ramps.

Instead grid reference systems are in common usage.

Instead Dolores latches on to a local energy grid and syphons off energy to repair herself.

Instead of being a continuous loop, these tracks have checkpoints at either end of the course, and the starting grid in the center.

Instead of giving the player a specific set of objectives for each mission, Silent Hunter III simply assigns the player a certain patrol grid, and appropriate naval traffic, such as convoys, destroyer escorts, and task forces are automatically generated by the simulation engine.

Instead, during shutdowns the grid is expected to remain operational.

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.

Instead, she respectably attended church for years and continued to keep house for him until his death in 1849, when she was 30.

Instead, he ordered the national budget slashed by 30 percent, dismissed the Italian military advisers, and nationalized Italian-run Roman Catholic schools in the northern part of the country.

Instead he resigned his right of primogeniture and from Pope Innocent XI ( 1676 – 89 ) he purchased, according to the custom of the time, for 30, 000 scudi, a position of prelatial rank and devoted his wealth and leisure to the enlargement of the library bequeathed to him by his uncle.

Instead of a single signal, the VOR transmitter sends out three signals-one is a simple voice channel that sends morse code to identify the station, another is a continuous signal sent in all directions, and the last is a signal that is rotated at 30 RPM.

Instead in summer, especially in sunny days, the temperature can easily exceed 30 ° and sometimes it reaches.

Instead, the Estates declared him a rebel and a fugitive on 30 March.

Instead, he rented it for $ 30, 000 per year from the Fenway Realty Trust.

Instead, there are 30 ( floppy disk version ) or 40 ( CD version ) levels to explore plus 6 more bonus levels.

Instead, the lot was bought at auction by William Eno, one of Amos's sons, for $ 690, 000 – the elder Eno had bought the property for around $ 30, 000 forty years earlier.

Instead of typing " BLDLIBR MYLIB, 100, 30 " to create a user program library, an operator could use menus to find the description " Create a user library " and fill in a form to accomplish the same goal.

Instead of a " pay-as-you-go " structure, the CPP is expected to be 20 % funded by 2014, such funding ratio to constantly increase thereafter towards 30 % by 2075 ( that is, the CPP Reserve Fund will equal 30 % of the " liabilities "-or accrued pension obligations ).

Instead, implantation occurs eight months later ; although gestation lasts 245 to 298 days, embryonic development requires only 25 – 30 days.

Instead, images were flashed on screen and each of the eight finalists were tasked to tell something about it within 30 seconds.

Instead, the city saw became the site of the first great street confrontation between the anti-globalization movement and the World Trade Organization on November 30, 1999.

Instead, the city became the site of the first great street confrontation between the anti-globalization movement and the World Trade Organization on November 30, 1999.

Instead, he sent Colonel James Bowie with 30 men to remove the artillery from the Alamo and destroy the complex.

Instead of taking photographs 30 feet away like Kobriger ( 1965 ), Limb et al.

Instead of accepting a new contract from the Oilers, Jari Kurri opted for a season in Italy and played for HC Devils Milano of the Italian Serie A. Kurri had 27 goals and 48 assists in 30 games while he played in the less competitive Italian league.

Instead of the 30 million lire a month judged sufficient at its beginning, it reached a cost of 80 million a month for a much longer period than was originally estimated.

Instead he won a special election to the Senate for the unfinished term of Frank B. Willis, who had died on March 30.

Instead, the attention was turned to a 30 hour watch, of a design very similar to what ultimately became the standard for an American 18 size watch.

Instead, a new scheme would assign a 10, 20, or 30 for 1 / 2, 3 / 4, and 1-ton models.