Although this difference is trivial in bulk chemistry calculations, it can result in complete failure in situations where the behavior of individual molecules matters, such as in mass spectrometry and particle physics ( where the mixture of isotopes does not act as an average ).

Although Roosevelt was reluctant to accept the vice-presidency, which he regarded as a relatively trivial and powerless office, his great popularity among most Republican delegates led McKinley to pick him as his new running mate.

Although boredom is often viewed as a trivial and mild irritant, proneness to boredom has been linked to a very diverse range of possible psychological, physical, educational, and social problems.

Although Pope's manual of bad verse offers numerous methods for writing poorly, of all these ways to " sink ," the method that is most remembered now is the act of combining very serious matters with very trivial ones.

" Although Bateman often claims that he is devoid of emotion, he also describes experiencing moments of extreme rage, panic or grief-being on the " verge of tears "-often over trivial inconveniences such as remembering to return videotapes or trying to obtain dinner reservations.

Although the delays are small but not trivial.

Although this example is trivial, there have been cases where heavy equipment incorporated into a plant has been deemed to have become fixtures even though it was sold as chattels.

Although Dürer made no innovations in these areas, he is notable as the first Northern European to treat matters of visual representation in a scientific way, and with understanding of Euclidean principles.

Although conservatives opposed attempts to allow greater representation of the middle class in parliament, in 1834 they conceded that electoral reform could not be reversed and promised to support further reforms so long as they did not erode the institutions of church and state.

Although this movie is not the most accurate representation of a true amnesic patient, it is useful for informing viewers of the detrimental effects of amnesia.

Although it's probably not possible to have weak bosons acting on chiral fermions in this representation.

Although not reaching its 1970s peak in Westminster elections, the SNP had more success in the Scottish Parliamentary elections with their system of mixed member proportional representation.

Although the political discourse had been dominated at this time by Gopal Krishna Gokhale, a moderate who said that it was " madness to think of independence ", Nehru had spoken " openly of the politics of non-cooperation, of the need of resigning from honorary positions under the government and of not continuing the futile politics of representation.

Although populations shifted, representation in the Commons remained the same.

Although symmetric groups can be defined on infinite sets as well, this article discusses only the finite symmetric groups: their applications, their elements, their conjugacy classes, a finite presentation, their subgroups, their automorphism groups, and their representation theory.

Although it is normal to regard the quantity demanded and the quantity supplied as functions of the price of the good, the standard graphical representation, usually attributed to Alfred Marshall, has price on the vertical axis and quantity on the horizontal axis, the opposite of the standard convention for the representation of a mathematical function.

Although this is in fact a shortening of the name Odile, it could also stand for " object " or " orifice ", an O being a symbolic representation of any " hole ".

Although Montevideo was the smallest department in terms of area ( divided into twenty-three geographic zones that generally coincided with the electoral zones ), its departmental board had sixty-five members in 1990 ; all other departments had thirty-one-member boards and a five-member executive council appointed by the departmental board, with proportional representation from the principal political parties.

Although the South African government wanted to incorporate " South-West Africa " into its territory, it never officially did so, although it was administered as the de facto ' fifth province ', with the white minority having representation in the whites-only Parliament of South Africa.

Although this strategy has been criticized for encouraging overwhelming force over strategy and tactics, defenders of the strategy argue that they're simply taking advantage of the strategies utilized, and some argue that it is a realistic representation of warfare.

Although much of the 1965 design has been retained, the arms have been altered by the addition of a representation of the Thames.

Although the n phonogram is a representation of waves on the surface of water, it was never used as an ideogram or determinative for the word water ( mw ), or for anything associated with water.

Although Ripon also sent representatives in 1307 and 1337, it did not have permanent representation.

Although they continued to lavishly spend money on representation, they favoured public appearances, like games and festivals, over the production of portraits.

Although in prose, they were regarded as poems ; in any case they were not intended for stage representation.

Although shapes themselves ( particularly paths ) can be decomposed further into nodes such as spline nodes, it is practical to think of the scene graph as composed of shapes rather than going to a lower level of representation.

Although such a city is a self-governing first-level entity, in many cases it is often presented as part of the province in which it is geographically located, or in the case of Zamboanga City, the province it last formed part the congressional representation of.

Although this theory of political representation has yet to be popularized, rigorously examined or critiqued, there are three broad areas of concern.

Although the ideas on which bicameralism are based can be traced back to the theories developed in Ancient Sumer and later ancient Greece, ancient India, and Rome, recognizable bicameral institutions first arose in medieval Europe where they were associated with separate representation of different estates of the realm.

Although the events of 1836 led to independence for the people of Texas, the Hispanic population of the state was very quickly disenfranchised to the extent that their political representation in the Texas State Legislature disappeared entirely for several decades.

Although the representation must be clear and unambiguous, a representation can be inferred from silence where there is a duty to speak or from negligence where a duty of care has arisen.

Although he is perfectly willing to cooperate with Scotland Yard, Holmes has nothing but contempt for the intelligence and mentality of the police.

Although we continue to pay our conversational devotions to `` free private enterprise '', `` individual initiative '', `` the democratic way '', `` government of the people '', `` competition of the marketplace '', etc., we live rather comfortably in a society in which economic competition is diminishing in large areas, bureaucracy is corroding representative government, technology is weakening the citizen's confidence in his own power to make decisions, and the threat of war is driving him economically and physically into the ground ''.

Although it is constantly made to look foolish ( too simple to come in out of the rain, people say, who have found in the innocent an impediment ), it does not mind looking foolish because it is not concerned with how it looks.

Although open to the general public it is not overcrowded ; ;

Although we have no measures of its strength or intensity, the heritage of the doctrine of inalienable rights is retained.

Although because of the important achievements of nineteenth century scholars in the field of textual criticism the advance is not so striking as it was in the case of archaeology and place-names, the editorial principles laid down by Stevenson in his great edition of Asser and in his Crawford Charters were a distinct improvement upon those of his predecessors and remain unimproved upon today.

Although Patchen has given previous evidence of an interest in jazz, the musical group that he works with, the Chamber Jazz Sextet, is often ignored by jazz critics.

Although the false glamour surrounding bourbon or other whisky commercials is possibly no more fatuous than the pseudo-sophistication with which TV soft-drinks are downed or toothpaste applied, there is a sad difference between enticing a viewer into sipping Oopsie-Cola and gulling him into downing bourbon.

Although the United States and the U.S.S.R. have been arguing whether there shall be four, five or six top assistants, the most important element in the situation is not the number of deputies but the manner in which these deputies are to do their work.

`` Although it is not the best of which he is capable '', said Shelley as he closed the book, `` it is still poetry of a high order ''.

Although Sam Rayburn affects a gruff exterior in many instances, nevertheless he is fundamentally a man of warm heart and gentle disposition.

Although a similar situs for tangible property is mentioned in the statute, this is cancelled out by the provision that definite kinds of property `` and all other tangible property '' situated or being in any town is taxable where the property is situated.

Although much of the Industrial Division's promotional effort is devoted to securing new locations and expansions by major industries, small business is also afforded considerable attention.

Although Mr. Brown was not himself its inventor ( it was a French idea ), it is typical that his intuition first conceived the importance of mass producing this basic tool for general use.