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Instead of defining these two rotational quantum numbers for two independent axes, we associate one quantum number () with the total angular momentum of the molecule and the other quantum number () with the angular momentum of the axis that has different moment of inertia ( i. e., axis for oblate symmetric top and axis for prolate symmetric tops ).
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Instead and defining
Instead of using the vertical temperature gradient as the defining variable, the dynamic tropopause surface is expressed in potential vorticity units ( PVU ), with the tropopause layer typically lying within the 1. 5 – 2 PVU surface in the Northern Hemisphere, although no universal values exist.
Instead, Iorga affirmed himself as a promoter of English culture, making noted efforts at promoting awareness of its defining traits among the Romanian public.
Instead, the resolution stipulates withdrawal from occupied territories without defining the extent of withdrawal.
Instead of defining the preferences of those agents, ACE models often jump directly to specifying their strategies.
Instead and these
Instead, all of the total costs are treated as variable costs, although these costs are divided into costs that are deemed to be functions of different variables.
Instead, these substances are discussed in terms of formula units or unit cells as the smallest repeating structure within the substance.
Instead of focusing merely on the individual objects ( e. g., groups ) possessing a given structure, category theory emphasizes the morphisms – the structure-preserving mappings – between these objects ; by studying these morphisms, we are able to learn more about the structure of the objects.
Instead, these efforts, it is argued, were made in order to advance Western development and reinforce Western hegemony.
Instead, European sets contain seven additional dominoes, with six of these representing the values that result from throwing a single die with the other half of the tile left blank, and the seventh domino representing the blank-blank ( 0 – 0 ) combination.
Instead, these parsers just provide to the application the parsed FPI and / or URI associated to the notations found in the parsed SGML or XML document, and with a facility for a dictionary containing all notation names declared in the DTD ; these validating parsers will also check the uniqueness of notation name declarations, and will report a validation error if some notation names are used anywhere in the DTD or in the document body but not declared:
Instead, these depictions gave recognizable forms to the abstract deities by using symbolic imagery to indicate each god's role in nature.
Instead of directly modifying an FFT algorithm for these cases, DCTs / DSTs can also be computed via FFTs of real data combined with O ( N ) pre / post processing.
Instead of having meta-consciousness, these humans were constituted by what Jaynes calls the " bicameral mind ".
Instead they may analyze these phones as belonging to a single archiphoneme, written something like | N |, and state the underlying representations of limp, lint, link to be.
Instead, party members answerable to or controlled by the party held these posts, often as honorific posts as a reward for their long years of service to the party.
Instead, he uses these free limbs to either grab one of the ring ropes ( the bottom one is the most common, as it is nearest the wrestlers ) or drape his foot across, or underneath one.
Instead, these updates can be estimated by sampling methods, without ever having to calculate form factors explicitly.
Instead, it maintained a system of taxation on the production that took place in the territories that they controlled, in exchange for protecting the growers and establishing law and order in these regions by implementing its own rules and regulations.
Instead of precedents and codes, sharia relies on jurists ' manuals and collections of non-binding legal opinions, or hadith, ( ulama, particularly a mufti ); these can be made binding for a particular case at the discretion of a judge.
Instead, Deism holds that religious beliefs must be founded on human reason and observed features of the natural world, and that these sources reveal the existence of a supreme being as creator.
Instead of the frequency, these forks are labeled with the calibration speed and radar band ( e. g. X-Band or K-Band ) for which they are calibrated.
Instead, these private line circuits were connected to network hubs and repeaters configured to provide point to point or point to multipoint service.
Instead they relied on the network of ground stations, also called Command Points to communicate with the spacecraft ; all of these Command Points were located within the Soviet Union.
Instead these devices have a relatively large sensor area at each sample point in order to obtain sufficient amount of light.
Instead and two
Instead, the beam was split into two parts, depending on whether the atomic spin was oriented up or down.
Instead the two court owned theaters would be reopened under new management, and partly subsidized by the Imperial Court, as a new National Theater.
Instead, the ratio of the speed of the wind and that of the cups, the anemometer factor, depends on the dimensions of the cups and arms, and may have a value between two and a little over three.
Instead the runner takes two or three large shuffles off the base when the pitcher goes to the plate.
Instead, space itself expands with time everywhere and increases the physical distance between two comoving points.
Instead of finding himself in serious trouble for acting as though he were joining forces with the Catholics, Elizabeth sent two Gentlemen Pensioners to summon him back within the month.
Instead of choosing a character class, a player must roll a twenty-sided die two times and consult an accompanying character origin table.
Instead, the Ottoman Navy spent the first two months of the war in operations against the Bulgarians in the Black Sea, giving the Greeks valuable time to complete their preparations and allowing them to consolidate their control of the Aegean.
Instead, in August of that year, he married Idelette de Bure, a widow who had two children from her first marriage.
Instead of dividing their traditional stories into myths, legends, and folktales, some cultures divide them into two categories, one that roughly corresponds to folktales, and one that combines myths and legends.
Instead of a one or two step chain of processing, the visual signals pass through perhaps a dozen stages of integration, involving the thalamus, cerebral cortex, basal ganglia, superior colliculus, cerebellum, and several brainstem nuclei.
Instead ' the two shortwave stations were nationalised in 1946 and renamed as Radio Netherlands Worldwide, the Dutch International Service.
Instead, a group led by Charles P. Thacker designed and constructed two PDP-10 clone systems named " MAXC " ( pronounced " Max ", in honour of Max Palevsky, who had sold SDS to Xerox ) for their own use.
Instead, John summoned the two prelates to travel with him to Rome to discuss the matter in person before Honorius.
Instead of dedicating time to fixing the defect, Alcorn decided it gave the game more difficulty and helped limit the time the game could be played ; he imagined two skilled players being able to play forever otherwise.
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, in November the two sides simply exchanged Robert and the king, and Stephen began re-establishing his authority.
Instead, the Varangian ruling classes of the two powerful city-states of Novgorod and Kiev were thoroughly Slavicised by the end of the 10th century.
Instead, she later married Herluin de Conteville, with whom she had two sons – Odo of Bayeux and Robert, Count of Mortain – and a daughter whose name is unknown.