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However, in modern expositions of the theory of functions of several complex variables it is preferred to give an equivalent formulation of the concept, by defining pluriharmonic function a complex valued function whose restriction to every complex line is an harmonic function respect to the real and imaginary part of the complex line parameter.
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However and modern
However, its modern one-story layout is designed to increase our production capacity, permit more efficient manufacturing, and substantially reduce current repair and maintenance costs.
However, most modern abjads, such as Arabic, Hebrew, Aramaic and Avestan, are " impure " abjads, that is, they also contain symbols for some of the vowel phonemes.
However, the connection that has derived ambrosia from the Greek prefix a-(" not ") and the word brotos (" mortal "), hence the food or drink of the immortals, has been questioned as coincidental by some modern linguists.
However, this division into two groups is considered by some modern scholars to be too simplistic and often it is practically impossible to know whether a lyric composition was sung or recited, or whether or not it was accompanied by musical instruments and dance.
However, there are also many modern historians who object to this view and point out that such a hostile attitude towards Athanasius is based on an unfair judgment of historical sources.
However, some modern scholars have argued that the demons and temptations that Anthony is reported to have faced may have been related to Athanasius by some of the simpler pilgrims who had visited him, who may have been conveying what they had been told in a manner more dramatic than it had been conveyed to them.
However, with the emergence of dancesport in modern times, the term has become narrower in scope.
However, Conway Morris strongly disagreed with Gould's conclusions, arguing that almost all the Cambrian fauna could be classified into modern day phyla.
However, in the late 1950s and early 1960s, base-stealing was brought back to prominence primarily by Luis Aparicio and Maury Wills, who broke Cobb's modern single-season record by stealing 104 bases in 1962.
However, such a tactic was not recorded as a stolen base, and modern rules forbid going backwards on the basepaths in order to " confuse the defense or make a travesty of the game ".
However, many details have been improved, especially since the advent of modern materials and computer-aided design.
However, since " bronze " is a somewhat imprecise term, and historical pieces have variable compositions, in particular with an unclear boundary with brass, modern museum and scholarly descriptions of older objects increasingly use the more cautious and inclusive term " copper alloy " instead.
However, some modern DJ software can change pitch and tempo independently using time-stretching and pitch-shifting, allowing harmonic mixing.
However, some modern Catholic English Bibles restore the Septuagint order, such as Esther in the NAB.
However, most modern scholars believe the book of Zechariah was written by at least two different people.
However, while increases in crop yield are the most obvious applications of modern biotechnology in agriculture, it is also the most difficult one.
However, in some countries modern breeding practices have introduced a few problems.
However, a more modern approach has since developed, and in Dorchester Finance Co Ltd v Stebbing BCLC 498 the court held that the rule in Equitable Fire related only to skill, and not to diligence.
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, due to the absence of reinforcement, its tensile strength was far lower than modern reinforced concrete, and its mode of application was also different:
However, the first modern studies of magnetism only started with the development of electrodynamics by Faraday, Maxwell and others in the nineteenth century, which included the classification of materials as ferromagnetic, paramagnetic and diamagnetic based on their response to magnetization.
However, the indigenous people have influenced modern Costa Rican culture to a relatively small degree, as most of these died from diseases such as smallpox and mistreatment by the Spaniards.
However, the possibility of actually constructing a conscious machine was probably first discussed by Ada Lovelace, in a set of notes written in 1842 about the Analytical Engine invented by Charles Babbage, a precursor ( never built ) to modern electronic computers.
However, none of these parameters differ significantly from early writings of Howard and Balfour, suggesting that in fact modern composting has not made significant advances over the traditional methods that take a few months to work.
However, some sources point out that this is a modern saying used by the Chinese from other regions in reference to Cantonese culinary habits.
However and expositions
However, bulletin board systems ( BBS ) and computer expositions such as Software Creations BBS were the primary distributors of all early low-cost software.
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, 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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