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, the formulation of a complete theory of quantum gravity is hindered by apparent incompatibilities between general relativity ( the most accurate theory of gravity currently known ) and some of the fundamental assumptions of quantum theory.

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formulation of equal temperament for the first time in Western musical theory, though his manuscript remained unpublished until long after the author's death ( Kutter 1975, 167 – 68 ; Stevin 1884 ).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, it was not of innocence in general that I was speaking, but of perhaps the frailest and surely the least important side of it which is innocence in romantic love.

However, in this case as elsewhere it was necessary to arrive at a single standard to be applied to all situations, representing an averaging of conditions, and thus to fix particular points in time which would be considered the dividing points between daytime and nighttime conditions.

However, the nonspecific staining by the Af in tumor sections was considered bright enough to be confused with the staining of small amounts of WTV antigen.

However, all admitted that the `` hindsight '' was not altogether lost.

However, she was able to relax and yield to the moment.

However, in this case the district manager was led to see the errors of his ways.

However, there was no real question of the justice of creating a strong Poland, both industrially and agriculturally, and one unplagued by large minorities of Germans or Russians.

However, the sovereign was not Hobbes' absolute monarch but rather the parliamentary sovereign of Austin.

However, a similar privilege was not specifically provided in section 168 for a person acquiring emergency facilities.

However, the Attorney General of California, at the request of the Secretary of Labor, sought to have the jurisdiction over the issue removed to the Federal District Court, on grounds that it was predominantly a Federal issue since the validity of the Secretary's Regulation was being challenged.

However, the Federal Court held that since the State had accepted the provisions of the Wagner-Peyser Act into its own Code, and presumably therefore also the regulations, it was now a State matter.

However nothing on four legs was supposed to be faster than a lion over a short distance, unless it was a cheetah.

However, it was virtually impossible to screen the mob outside, even if Bonner had manpower available for the purpose.

However likely it was, Pauling said, he couldn't limit himself to it.

However, Haney knew it was not a dream.

However, the confession, which was the only evidence against him, was retracted before the trial.

However, compared with March 1960 new car sales of 4,441, this March was off 23 per cent.

( However, there is little evidence that the late Lumumba was a Communist.

However, lacking requested reinforcements from McClellan, now commanding the Army of the Potomac, Pope was soundly defeated at the Second Battle of Bull Run in the summer of 1862, forcing the Army of the Potomac to defend Washington for a second time.

However Copperhead rhetoric argued that emancipation was a stumbling block to peace and reunification.

However, Plato reports that syntax was devised before him, by Prodicus of Ceos, who was concerned by the correct use of words.