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However, the complete theory of the Abbe sine condition shows that if a lens is corrected for coma and spherical aberration, as all good photographic objectives must be, the second principal plane becomes a portion of a sphere of radius f centered about the focal point, ..." In this sense, the traditional thin-lens definition and illustration of f-number is misleading, and defining it in terms of numerical aperture may be more meaningful.
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However and complete
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.
However and theory
However, they do demonstrate the presence of large normal pressures in the presence of flat shear fields which were forecast by the theory in the first part of the paper.
However, Montgomery makes little contribution to leadership theory and practice.
However, that particular case is a theorem of Zermelo – Fraenkel set theory without the axiom of choice ( ZF ); it is easily proved by mathematical induction.
However, this theory is undermined by the disproportional fear of spiders in comparison to other, potentially dangerous creatures that were present during Homo sapiens environment of evolutionary adaptiveness.
However, more vital propositions, such as Hume's argument for the role of habit in a theory of knowledge, are retained.
However, invalid formulas ( those that are not entailed by a given theory ), cannot always be recognized.
However, Davy failed to develop a new theory, concluding that " acidity does not depend upon any particular elementary substance, but upon peculiar arrangement of various substances ".
However, the argument concludes that the conceptual challenge of bare particulars leaves a bundle of properties and nothing more as the only possible conception of an object, thus justifying bundle theory.
However, the results of BCS theory do not depend on the origin of the attractive interaction.
However, since piston-engined aircraft rely upon magnetos to provide spark to their cylinders rather than a battery powered ignition coil system, this theory is not strongly convincing.
However, the term naive set theory is also used in some literature to refer to the set theories studied by Frege and Cantor, rather than to the informal counterparts of modern axiomatic set theory ; care is required to tell which sense is intended.
However, one could equally well lay out a consequentialist theory that focuses solely on minimizing bad consequences.
However it is important to note that the objects of a category need not be sets nor the arrows functions ; any way of formalising a mathematical concept such that it meets the basic conditions on the behaviour of objects and arrows is a valid category, and all the results of category theory will apply to it.
However, the later edition in 1959 failed to adequately address the problems that appeared to be better understood by molecular orbital theory.
However, the work of Friedrich Hund, Robert Mulliken, and Gerhard Herzberg showed that molecular orbital theory provided a more appropriate description of the spectroscopic, ionization and magnetic properties of molecules.
" However, in the case of the so-called Nilo-Hamitic languages ( a concept he introduced ), it was based on the typological feature of gender and a " fallacious theory of language mixture.
However, spectropolarimetric observations of SN 2009dc showed it had a polarization smaller than 0. 3, making the large asphericity theory unlikely.
However it was only in 1927 that the shakta theory of seven main chakras, that has become most popular in the West, was introduced, largely through the translation of two Indian texts: the Sat-Cakra-Nirupana, and the Padaka-Pancaka, by Sir John Woodroffe, alias Arthur Avalon, in a book titled The Serpent Power.
However, control theory also saw an increasing use in fields such as economics.
However, this political restriction is less confining than it may first appear in that the Marxist historical framework is surprisingly flexible, and a rather simple matter to modify an alternative historical theory to use language that at least does not challenge the Marxist interpretation of history.
However this theory ignores the fact that the Soviet Union had already suffered several important setbacks during “ reactive and defensive strategy ” of “ containment ”.
However, unlike Johnson, Hodge confined the term to exclude those like Asa Gray who combined Christian faith with support for Darwin's natural selection theory, before answering the question posed in the book's title by concluding: " It is Atheism.
However, Russell's theory analyses proper names into a logical structure which makes sense of this problem.
However, one of the consequences of Einstein's theory is that there is no possible physical test that can distinguish between a beam of light as a model of a geometrical line and any other physical model.
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