However, a different notion of compactness altogether had also slowly emerged at the end of the 19th century from the study of the continuum, which was seen as fundamental for the rigorous formulation of analysis.

However, the allowed formulation of domain names in the DNS root zone, and most other sub domains, uses a preferred format and character set.

However, some scientists ( called " relativists " by Mach ), even at the time of Newton, felt that absolute space was a defect of the formulation, and should be replaced.

However, the fact that this particular formulation assigns numerical values to levels of satisfaction is the source of criticism ( and even ridicule ).

However, this formulation was never adopted by all churches termed " Nestorian ".

However, the claim has been made that ( though factually accurate ) Woolf's formulation is " a little too dogmatic and definite and contributes to the false view that Bloomsbury was an entity, almost a formal body ", as opposed to " an informal group of friends, and nothing more ".

However, on 10 July 1941, Field Marshal Carl Gustaf Emil Mannerheim issued an Order of the Day that contained a formulation understood internationally as a Finnish territorial interest in Russian Karelia.

However, if included in the same formulation, amodimethicone and phenyltrimethicone interact and dilute each other, making it difficult to achieve both high shine and excellent conditioning in the same product.

" However, most Evolutionary psychologists recognize that this common short-hand formulation is inaccurate ;

However, the English formulation is a corruption of the authentic French expression à double entente.

However, at just the same time, the Flemish mathematician Simon Stevin ( 1548 – 1620 ) wrote an essay containing the correct mathematical formulation of equal temperament for the first time in Western musical theory, though his manuscript remained unpublished until long after the author's death ( Kutter 1975, 167 – 68 ; Stevin 1884 ).

However, Wien's other empirical formulation, called Wien's displacement law, is still very useful, as it relates the peak wavelength emitted by a body ( λ < sub > max </ sub >), to the temperature of the body ( T ).

However, according to the process offered by ISPO, what appears to be new is that citizens who " adopt " the Simultaneous Policy ( Simpol ) take the formulation of global policy into their own hands.

However, Title IV of the constitution vests the administration of the armed forces and formulation of national defense policy with the President of the Government, a civilian authority who is nominated and appointed by the king, confirmed by the elected Congress of Deputies and, as such, is representative of the Spanish people.

However, it is not necessary to ascribe the present formulation of the commandment shall have no other gods before me " to a very early stage of the tradition, nor is it advantageous to interpret the commandment as if it inculcated monotheism.

However, even the talmudic sources reflect such diverse opinions including the one attributing the formulation of the Amidah to the " men of the Great Synagogue " ( Ber. 33a, Meg.

However, null hypotheses can and do have " direction "— in many instances statistical theory allows the formulation of the test procedure to be simplified, thus the test is equivalent to testing for an exact identity.

In the mathematical formulation of quantum mechanics, states are given by non-zero vectors in a Hilbert space V ( where two vectors are considered to specify the same state if, and only if, they are scalar multiples of each other ) and observables are given by self-adjoint operators on V. However, as indicated below, not every self-adjoint operator corresponds to a physically meaningful observable.

However, the FEM formulation requires special care to ensure a conservative solution.

However, although New Age spirituality is more open in its presentation, it continues to rely more or less on a syncretic and esoteric methodology in the formulation of its methods and in the transmission of its wisdom / enlightenment.

However, due to anaphylactic reactions to cremophor, this formulation was withdrawn from the market and subsequently reformulated as an emulsion of a soya oil / propofol mixture in water.

However it was not part of Ronald Fisher's formulation of statistical hypothesis testing, and he violently opposed its use.

However, while Keynes's formulation of a liquidity trap refers to the existence of a horizontal demand curve for money at some positive level of interest rates, the liquidity trap invoked in the 1990s referred merely to the presence of zero interest rates ( ZIRP ), the assertion being that since interest rates could not fall below zero, monetary policy would prove impotent in those conditions, just as it was asserted to be in a proper exposition of a liquidity trap.

However, the compactness restriction in the usual formulation of the Hodge decomposition can be replaced by suitable decay assumptions at infinity on the differential forms involved, giving a proper generalization of the Helmholtz theorem.

However, he turned out to be a complete failure in his new position.

However, even if the latent demand for demythologization is not nearly as widespread as we are claiming, at least among the cultured elements of the population there tends to be an almost complete indifference to the church and its traditional message of sin and grace.

However, the Hotaki dynasty came to a complete end in 1738 after being toppled by the Afsharids who were led by Nader Shah of Khorasan.

He tinformed Olga Carlisle that, at the end of The Blind Beauty, he wished to depict " the birth of an enlightened and affluent middle class, open to occidental influences, progressive, intelligent, artistic ..." However, Pasternak fell ill with terminal lung cancer before he could complete the first play of the trilogy.

However, Goukouni ’ s January 1981 statement that Chad and Libya had agreed to work for the realization of complete unity between the two countries generated intense international pressure and Goukouni's subsequent call for the complete withdrawal of external forces.

However none of these " alternatives " has the same breadth of explanation as inflation, and still require inflation for a more complete fit with observation ; they should therefore be regarded as adjuncts to inflation, rather than as alternatives.

However the closed interval is complete ; the given sequence does have a limit in this interval and the limit is zero.

However, the number of crafts required to obtain, transmit, and maintain a complete Dyson sphere far exceeds our present-day industrial capabilities.

However, in Cyclops ( the only complete satyr-play that survives ) Euripides structured the entertainment more like a tragedy and introduced a note of critical irony typical of his other work.

However it would never come to a complete rest, and we therefore call that response to the impulse ( striking it with a hammer ) " infinite " in duration.

However, unanswered questions remain, the most fundamental being how general relativity can be reconciled with the laws of quantum physics to produce a complete and self-consistent theory of quantum gravity.

However, by 1915 this process was complete, enabling Portuguese colonial rule to progress in a relatively unruffled state-until the emergence of nationalist movements all over Africa in the 1950s.

However, the Central Government has targeted several roads for complete rehabilitation, and already many have been rehabilitated.

However, the compositional style employed in the opera, with few stand-alone arias, was criticized at the time and remains a barrier to the opera's complete acceptance into the standard repertoire.

However, the civil parishes were not a complete third-tier of local government.

However, more than a century before Ebbinghaus, Johann Andreas Segner invented the “ Segner-wheel ” to see the length of after-images by seeing how fast a wheel with a hot coal attached had to move for the red ember circle from the coal to appear complete.

However, later emperors such as Aurangazeb tried to establish complete Muslim dominance, and as a result several historical temples were destroyed during this period and taxes imposed on non-Muslims.

However, the Indonesian Minangkabau people ( from western Sumatra ), despite being Muslim, employ only complete matrilineal succession with property and land passing down from mother to daughter.

However, complete perfection is unattainable in this life, and the believer should expect a continual struggle against sin.

However, it was undertaken on so large a scale as to make it impossible for them to complete it.

However, in the same letter to Vera Zasulich, Marx points out that " at the core of the capitalist system ... lies the complete separation of the producer from the means of production.

However, the rush to complete this rapid expansion scheme resulted in the deaths of 997 personnel and another 700 wounded.

However, on 20 July 2008 he annonced that he would not be able to complete it.

" However within this line of thought " The tension between anti-vanguardism and vanguardism has frequently resolved itself in two diametrically opposed ways: the first involved a drift towards the party ; the second saw a move towards the idea of complete proletarian spontaneity ... The first course is exemplified most clearly in Gramsci and Lukacs ... The second course is illustrated in the tendency, developing from the Dutch and German far-lefts, which inclined towards the complete eradication of the party form.