Factors sentence example

factors
  • You will then look to see what other factors they all have in common.
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  • He just needed to find the right combination of factors that would allow him to withdraw the soul from her head without killing her.
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  • Those factors went together like sulfur and a spark.
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  • I've considered all the factors and I've made my decision.
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  • In the interpretation of these signs the two chief factors were association of ideas and association of words.
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  • There were too many paths and factors, though all seemed to lead to one of two futures.
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  • And of the redheads themselves, are there factors among the clumsy ones that are different than the coordinated ones?
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  • The cura tori or curatoli (factors) receive 40 a year, with a slight interest in the profits; the stockmen hardly earn in money and kind 13; the muleteers and underworkmen get between 5 to 8, plus firewood, bread and oil; irregular workmen have even lower wages, with a daily distribution of bread, salt and oil.
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  • Those two traits had been important factors in her decision to marry him.
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  • The theory underlying hepatoscopy therefore consists of these two factors: the belief (I) that the liver is the seat of life, or, to put it more succinctly, what was currently regarded as the soul of the animal; and (2) that the liver of the sacrificial animal, by virtue of its acceptance on the part of the god, took on the same character as the soul of the god to whom it was offered.
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  • That a criminal was reared among male factors mitigates his fault in our eyes.
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  • the descendants, and constitute the so-called adaptations in which the external factors acting on the plants are reflected.
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  • The pollination, of flowers and the dispersal of seeds by various animals are biological factors; but pollination and dispersal by the wind cannot be so regarded.
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  • The factors of the habitat may be grouped as follows: geographical, physical, and biological.
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  • The factors that contribute to getting gallstones include: Obesity this is a major factor, especially in women.
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  • The difficulty of sharply delimiting edaphic and climatic factors is seen in the case of temperature.
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  • We have looked at factors that increase animosity between the rich and poor and situations in which they can live harmoniously.
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  • Physical FactorsThese are frequently classified as edaphic or soil factors and climatic factors; but there is no sharp line of demarcation between them.
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  • These are called prime factors.
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  • Even here, however, general agreement has not ~en reached; and the questions involved in relating the facts the distribution of plant communities to the factors of the tbitat are very imperfectly understood.
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  • In the present state of knowledge, however, this can only be done in a very meagre fashion; as the effect of habitat factors on plants is but little understood as yet either by physiologists or ecologists.
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  • This is due to a lack of precise knowledge of the various habitat factors and also of the responses made by plants to these factors.
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  • The factors that enable us to solve for and eliminate disease are getting better all the time, like wind at our back, pushing us forward.
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  • Food can be optimized according to three factors, broadly speaking: taste, price, and nutrition.
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  • The glass industry began in Wheeling in 1821, and there a process was discovered by which in 1864 for soda ash bicarbonate of lime was substituted, and a lime glass was made which was as fine as lead glass; other factors contributing to the localization of the manufacture of glass here are the fine glass sand obtained in the state and the plentiful supply of natural gas for fuel Transportation and Commerce.
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  • AMICABLE NUMBERS, two numbers so related that the sum of the factors of the one is equal to the other, unity being considered as a factor.
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  • Two factors combined to give Pali its importance as one of the few great literary languages of the world: the one political, the other religious.
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  • To allow for the first of these two factors, Van der Waals finds that v in equation '04) must be replaced by v - b, where b is four times the aggregate space occupied by all the molecules, while to allow for the second factor, p must be replaced by p +a/v 2 .
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  • But it falls short of idealism as above defined in that it recognizes only one side of the antithesis of subject and object, and so falls short of the doctrine which takes its stand on the complete correlativity of the two factors in experience.
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  • The cenotes or underground reservoirs were the important factors in locating the ruins of northern Yucatan.
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  • And finally, there are a series of variations, amongst which no doubt are the mutations of de Vries and the disintegrations and recombinations of the unit factors with which Mendel and his followers have worked, in which the external or environmental factor is most remote from the actual result.
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  • Factors, Primes and Prime Factors.
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  • gamma ray absorbed doses, quality factors and dose equivalents.
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  • Chronic gastritis can develop as a result of long standing irritation from the factors listed above for acute gastritis.
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  • Manipulation of growth factors and the endothelium holds promise for beneficial intervention in the range of diseases affecting the glomerulus.
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  • Risk factors There are certain factors that can affect your likelihood of getting gout.
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  • The following are a few of the more general works: Bateson, Materials for the Study of Variation; Bunge, Vitalismus and Mechanismus; Cope, Origin of the Fittest, Primary Factors of Organic Evolution, Darwin's Life and Letters; H.
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  • In every case there are chains of causation concerned~and the same factors will be differently grouped in different cases.
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  • Edaphic factors include all those relating to the soil.
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  • Climatic factors include all those relating to atmospheric temperature, rainfall, atmospheric humidity, and light and shade.
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  • We find thus three factors of a nervous mechanism present, a receptive, a conducting, and a responding part.
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  • In modern times two factors have accelerated this process, viz.: (I) the building of railways, which have developed commerce to a very great degree and favoured the large towns at the expense of the small; and (2) the invention of machinery, which has greatly increased the possibility of division of labour and manufactures on a large scale.
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  • In the moral man these factors are duly balanced.
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  • According to his phenomenalism, the external stimulus and the physiological stimulus are both parallels of the same psychical process; the external body, as well as my body, is merely an object abstracted from an idea of my experience; and what is really known in every case is a unitary experience; divisible, but not separable, into body and soul, physical and psychical factors of one and the same unitary experience.
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  • He infers the corollary that universal experience contains the same duality of subjective and objective factors without dualism.
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  • The final problem of Hume's theory of knowledge, the discussion of the real significance of the two factors of cognition, self and external things, is handled in the Treatise with great fulness and dialectical subtlety.
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  • To sum up, it may be said that Hume enunciated the principle that " everything in the world is purchased by labour, and our passions are the only causes of labour "; and further, that, in analysing the complex phenomena of commerce, he is superior sometimes to Adam Smith in that he never forgets that the ultimate causes of economic change are the " customs and manners " of the people, and that the solution of problems is to be sought in the elementary factors of industry.
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  • The explanation is to be found within Israel itself, in factors which succeeded in re-shaping existing material and in imprinting upon it a durable stamp, and these factors, as biblical tradition recognizes, are to be found in the work of the prophets.
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  • & P. Coats) and Anchor mills (Clark & Company) are now the dominant factors in the combination that controls the greater part of the thread trade of the world and together employ 10,000 hands.
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  • The first direct purchase in China was made at Amoy, the teas previously obtained by the Company's factors having bean purchased in Madras and Surat, whither it was brought by Chinese junks after the expulsion of the British from Java.
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  • There seems to be no relationship between the commercial value and the analysis, the arbitrary personal methods of the expert tea-taster being controlled by factors that chemistry does not appear to deal with.
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  • But there were other factors to be considered.
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  • The intelligent professional knowledge of the native officers, taught under British gentlemen, and the constant hard work cheerfully rendered by the fellah soldiers, were the main factors of the success achieved at Omdurman on the 2nd of September 1898.
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  • Many factors helped in the process of assimilation.
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  • The Gramineae offer a prominent example of a dominant self-pollinated or wind :pollinated family, and this may find explanation in a multiplicity of factors.
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  • Nor is the presence of such non-intellectual factors in thinking necessarily deleterious: at any rate they are ineradicable.
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  • Co-operation of the two factors appears to supply a causal theory of the occurrence of evolution; the suggestion of their co-operation and the comparison of the possible results with the actual achievements of breeders in producing varieties were the features of Charles Darwin's theoretical work which made it a new beginning in the science of biology, and which reduced to insignificance all earlier work on the theory of evolution.
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  • He doubted, but did not exclude, the importance of the direct effect of differences of climate and food and of increased use and disuse, except so far as the individual was concerned, but his opinion as to these Lamarckian factors changed from time to time.
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  • Wallace, whilst insisting that the range of observed and measured variation was much larger in proportion to the size of the organisms or parts of organism affected than was generally believed, leaned to the Darwinian view in excluding from the normal factors in the origin of species variations of the extremer ranges of magnitude.
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  • And so the newer school discard acquired characters and all the Lamarckian factors and leave the board clear for "mutations."
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  • Analysis of any acquired character, however, shows that there are two factors involved.
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  • Such cases show in the plainest way the co-operation of external or environmental and internal or constitutional factors.
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  • It is equally impossible to draw an exact line between variation induced by the environment and variation that may be termed intrinsic. Extrinsic and intrinsic factors are involved in every case, although there is a range from instances in which the external factor appears to be extreme to instances where the intrinsic factor is dominant.
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  • The interplay of extrinsic and intrinsic factors also differs with the age of the organism affected: the more nearly adult it may be, the more direct appears to be the influence of the environment; the more nearly embryonic the organism may be, the less direct is the result of a force impressed from without.
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  • A similar kind of segregation may take place in the formation of the repeated parts of an organism, so that symmetrical repetition may be compared with normal heredity, and be due to the presence of similar factors in the divisions of the embryonic cells, whilst the differentiation of repeated parts may be due to the unequal distribution of such factors and be comparable with variation.
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  • It is to be noticed, however, that the Mendelian conceptions are in no sense an alternative to Darwinism; at the most they would serve to assist in explaining the mechanism of variation, and by enlarging our idea of the factors, increase the rate at which we may suppose selection to work.
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  • All these factors, and others besides, are real factors.
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  • He had arrived, however, at the height of his influence, and several factors now contributed to his decline.
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  • According to him we only know these a priori principles through inner or psychical experience; they are not then to be regarded as transcendental factors of all experience, but as the necessary, constant elements discovered by us in our inner experience.
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  • Church and state, law and morality, commerce and art are reduced to factors in the totality of human life, from which the specialists had isolated them.
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  • Thus Hegelianism reduces dogmatism, scepticism and mysticism to factors in philosophy.
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  • This is one of the factors in its value for fattening purposes.
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  • The system represents a harmonious combination of two factors, one of popular origin, the other the outcome of speculation in the schools attached to the temples of Babylonia.
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  • Even in his " logic " Kant speaks of abstraction from all particular objects of thought rather than of a resolution of concrete thinking into thought and its " other " as separable co-operating factors in a joint product.
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  • This is, of course, on the usual assumption that the sign of a product is changed when that of any one of its factors is changed, - which merely means that-1 is commutative with all other quantities.
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  • Its length is, therefore, the product of the lengths of the factors, and its inclination to the real unit is the sum of those of the factors.
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  • If we write the expressions for the two lines in the form A+Bi, A'+B'i, the product is AA' - BB'+i(AB'+BA'); and the fact that the length of the product line is the product of those of the factors is seen in the form (A 2 + B 2) (A'2-{-B'2) = (AA' - BB')2+(AB'+BA')2.
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  • In the modern theory of complex numbers this is expressed by saying that the Norm of a product is equal to the product of the norms of the factors.
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  • This requires merely that y : z :: y' : z'; oryz' - zy'=o; but then the product should be of the same form as the separate factors.
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  • Thus, when the factors 3 It will be easy to see that, instead of the last three of these, we may write the single one ijk = - 1.
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  • For, if the directed part have the same direction as the factors, (b) shows that it will be reversed by reversing either, and therefore will recover its original direction when both are reversed.
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  • But, if we look at the two factors in their new position by the light of (a), we see that the sign must not change.
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  • This variety of soils, a considerable range of moderate altitudes and favourable factors of heat and moisture promote a rich diversity in agriculture.
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  • As in philosophy, so now in theology, the easiest solution of the problem was the denial of one of its factors: and successively these efforts were made, until a solution was found in the doctrine of the Trinity, which satisfied both terms of the equation and became the fundamental creed of the church.
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  • What is the ontological relationship between these three factors?
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  • Thus, according to the canons of the ancient philosophy, justice is done to all the factors of our problem - God remains as Father, the infinitely remote and absolute source of all; as Son, the Word who is.
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  • A completer organization was retarded by two factors, the presence of the apostles and the inspiration of the prophets.
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  • As these rules were often accepted by his successors, the praetor thus acquired an almost legislatorial power, and his edicts, thus continued, corrected and amplified from year to year, became, under the title of the "perpetual" edicts, one of the most important factors in moulding Roman law.
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  • (i6) The factors of ~, i~, ~, X, if, v on the right-hand side are proportional to the constituents of a possible infinitesimal displacement of the solid, and the whole expression is proportional (on, the same scale) to the work done by the given system of impulsive forces in such a displacement, As in 9 this must be equal to the total work done in such a displacement by the several forces, whatever they are, which make up the impulse.
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  • Should B and C be inconveniently large, they are, if possible, to be resolved into factors, and those factors (or if they are too small, multiples of them) used for the number of teeth.
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  • Should B or C, or both, be at once inconveniently large, and orime, then, instead of the exact ratio B/C some ratio anproxlmat:ng to that ratio, and capable of resolution into convenient factors, is to be found by the method of continued fractions.
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  • Then, if possible, B and, C themselves are to be resolved each into rnI factors (counting 1 as a factor), which factors, or multiples of them, shall be not less than t nor greater than 6t; or if B and C contain inconveniently large prime factors, an approximate velocity ratio, found by the method of continued fractions, is to be substituted for B/C as before.
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  • The general results are an excess of females over males throughout western Europe: but though the relative proportions vary from time to time, remaining always in favour of what is conventionally called the weaker sex, it is impossible, owing to disturbing factors like war and migration, to ascertain whether there is any general tendency for the proportion of females to increase or not.
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  • The factors upon which the growth of a population depend are internal, operating within the community, or external, arising out of the relations of the community with other countries.
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  • The general results of the decline of the marriage-rate and the postponement of marriage upon the natural growth of population will be discussed in connection with the birth-rate, though the statistics available do not permit of the accurate measurement of the respective influence of these factors, and there are others, too, which have to be taken into consideration, as will appear below.
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  • It need not be assumed, however, that because these rates cannot be associated with the comparative degree of prosperity attained by the individual community they are altogether independent of the economic factors mainly contributing to that condition, such as trade, employment and prices.
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  • Where, however, the tendency to mortality, not its results, is in question, both the above factors must be taken into account, as they have been above in distinguishing the rate of fertility from that of births.
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  • Migration.-Passing from the internal factors in the movement of population, the influence has to be taken into account of the interchange of population between different countries.
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  • Exact statistics of the membership of the Churches of the Oriental rite are almost impossible to obtain; the numbers of their adherents, moreover, are apt to vary suddenly with the shifting currents of political forces in the East, for political factors have always played a considerable part in these movements towards reunion or the reverse.
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  • Important as the Revival of Learning undoubtedly was, there are essential factors in the complex called the Renaissance with which it can but remotely be connected.
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  • Modern nationalities, defined as separate factors in a common system, were ready to co-operate upon the basis of European federation.
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  • The period of our history between 1536 and 1642 shows how difficult it is to separate these two factors in the re-birth of Europe, both of which contributed so powerfully to the formation of modern English nationality.
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  • Of all these factors, that of the nature of the soil on which the vine is grown is perhaps the most important.
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  • It is not possible, however, by this method to entirely reproduce the character of the wine from which the yeast is derived inasmuch as this depends on other factors as well, particularly the constitution of the grape juice, conditions of climate, &c. The other micro-organisms naturally present in the must which is pitched with the pure culture are not without their influence on the result.
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  • The Ausbruch wines take from three to four years to ripen, and they may contain from 12% to 15% of alcohol and a little or a fair quantity of sugar, these factors varying according to the vintage and the number of " butts " of zibebs employed.
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  • The cyanide process, introduced about 1890, is now one of the most important factors in the utilization of low-grade and refractory gold and silver ores.
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  • It will, of course, be understood that the base mark is subject to variation, the ruling factors being the amount of crop, quality and demand.
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  • A continued fraction may always be found whose n th convergent shall be equal to the sum to n terms of a given series or the product to n factors of a given continued product.
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  • To these factors must be added the degeneration of the royal line-a degeneration inevitable in Oriental states.
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  • Thus the cities became the main factors in the diffusion of Hellenism, the Greek language and the Greek civilization over all Asia as far as the Indus.
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  • 1870), and Die logische Frage in Hegels System (1843), important factors in the reaction against Hegel; Historische Beitrdge zur Philosophic (1846-1867), in three volumes, the first of which contains a history of the doctrine of the Categories; Das Naturrecht auf dem Grunde der Ethik (1860); Liscken im Volkerrecht 0.870), a treatise on the defects of international law, occasioned by the war of 1870.
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  • and the influence of external factors on its growth.
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  • It is important that these two essential factors should be kept clearly in view, since the means of defence against any disease may depend upon the power either of neutralizing toxins or of killing the organisms producing them.
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  • In this process there are two factors concerned, viz.
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  • We may say, however, that there are several factors concerned in natural immunity, of which the most important may be said to be the three following, viz.
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  • A dislocation of the manufacturing factors has therefore been in progress, which with the creation of a " trans Tiberim " (as in ancient Rome) is, in many respects, altering the character and aspect of the metropolis.
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  • Heeren who, at the opening of the 19th century, first laid that emphasis upon the economic factors in history which is to-day slowly replacing the Augustinian explanation of its evolution.
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  • Buckle did not, as is generally believed, make these three factors dominate all history.
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  • Vital Statistics.-" The increase or decrease of population is governed by two factors: (I) the balance between births and deaths, and (2) the balance between immigration and emigration."
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  • But the logical or transcendental conditions are not causes or even factors of knowledge; they are the statement of its idea.
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  • In 1620 one of the Company's factors dates from Patna; in 1624-1636 the Company established itself, by the favour of the emperor, on the ruins of the ancient Portuguese settlement of Pippli, in the north of Orissa; in 1640-1642 an English surgeon, Gabriel Boughton, obtained establishments at Balasore, also in Orissa, and at Hugli, some miles above Calcutta.
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  • In 1685, the Bengal factors, driven to extremity by the oppression of the Mogul governors, threw down the gauntlet; and after various successes and hairbreadth escapes, purchased from the grandson of Aurangzeb, in 1696, the villages which have since grown up into Calcutta, the metropolis of India.
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  • The country could not afford to lose the goodwill of the emperor of the French, at that time one of the most powerful factors in Europe - in July 1869 Bratianu, although immensely popular, found it necessary to resign office, and with him fell the rest of the cabinet.
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  • But to call this the temperature of the sun's surface is a convention, which sets aside some material factors.
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  • We have now to consider what are the necessary factors of safety, and the modes of their application.
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  • In the first place, it is out of of the question to allow the water to rise to the vertex a Factors .
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  • Sheep and cattle are raised extensively on ranches in the semi-arid regions, large herds of cattle are kept on lands too wet for cultivation in the western counties, and stock-raising and dairying have become important factors in the operation of many of the best farms. The acreage of wheat was 810,000 in 1909 and the crop was 16,377,000 bushels.
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  • factors of 6; and 2, 3, 4, 6 and 12 are factors of 12.
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  • Hence, if a number has factors, one at least of these must be a prime.
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  • Thus 12 has 6 for a factor; but 6 is not a prime, one of its factors being 2; and therefore 2 must also be a factor of 12.
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  • Thus any number which is not itself a prime is the product of several factors, each of which is a prime, e.g.
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  • The following are the most important properties of numbers in reference to factors: (i) If a number is a factor of another number, it is a factor of any multiple of that number.
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  • n=o, whatever n may be.) (iii) A number can be resolved into prime factors in one way only, no account being taken of their relative order.
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  • If we resolve two numbers into their prime factors, we can find their Greatest Common Divisor or Highest Common Factor (written G.C.D.
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  • of two numbers, and cannot resolve them into their prime factors, we use a process described in the text-books.
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  • The Least Common Multiple, or L.C.M., of two numbers, is the least number of which they are both factors.
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  • of three or more numbers; if we cannot resolve the numbers into their prime factors, we must find the L.C.M.
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  • The following are the principal rules for testing whether particular numbers are factors of a given number.
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  • The pth root of a number (§43) may, if the number is an integer, be found by expressing it in terms of its prime factors; or, if it is not an integer, by expressing it as a fraction in its lowest terms, and finding the pth roots of the numerator and of the denominator separately.
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  • Division with a remainder has thus a certain air of unreality, which is accentuated when the division is performed by means of factors (§ 42).
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  • If we have to divide 935 by 240, taking 12 and 20 as factors, the result will depend on the fact that, in the notation (20) (12) of § 1 7, 935=3 " 1 7 " 1 1.
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  • If the denominator of the fraction, when it is in its lowest terms, contains any other prime factors than 2 and 5, it cannot be expressed exactly as a decimal; but after a certain point a definite series of figures will constantly recur.
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  • Instead of being expressed as the sum of a series of terms, a number may be expressed as the product of a series of factors, which become successively more and more nearly equal to i.
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  • ., and that if we go up to the factor i ?n4n+1 the product of these factors differs from the true value of the number by less than gngn -{-1 In certain cases two or more factors can be combined so as to produce an expression of the form i where k is an integer.
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  • For instance, 3' 14159 2 7 = 3 (1 +1) ` 122 106) ` I+ 333 1 113) ' ' .; but the last two of these factors may be combined as (I -).
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  • The proximity of such good markets as Chicago, Cincinnati, St Louis and Louisville, in addition to the local markets, and the unusual opportunities afforded by the railways that traverse every portion of the state, have been important factors in the rapid agricultural advance which has enabled Indiana to keep pace with the newly developed states farther west.
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  • On submitting a complex substance of this character to destructive distillation, it will be found that the yield and quality of the products will vary very considerably with the temperature existing in the retorts, with the size of the charge of coal used, with its distribution in the retort, with the length of time the distillation has been going on, and with an infinity of other factors of a more or less complex nature.
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  • Important factors in the use of carburetted water gas for enrichment are that it can be made with enormous rapidity and with a minimum of labour; and not only is the requisite increase in illuminating power secured, but the volume of the enriched gas is increased by the bulk of carburetted water gas added, which in ordinary English practice amounts to from 25 to 50%.
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  • A more detailed investigation of all the characters of the Ferns will be needed before the course of evolution thus broadly indicated can be traced, but the results obtained afford a deeper insight into the general method of progression and the selective factors in the process.
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  • He says, "To account for this increase in the potential yield in our wheat-fields many factors must be taken into consideration.
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  • And the libertarian critic had before him a comparatively easy task when he exhibited the complete interdependence of character and environment, or rather the impossibility of treating either as definite and fixed factors in a process explicable by the use of ordinary scientific categories.
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  • Considering the equations ax +by +cz =d, a'x +b'y +c' z =d', a"x+b"y+cnz=d" and proceeding to solve them by the so-called method of cross multiplication, we multiply the equations by factors selected in such a manner that upon adding the results the whole coefficient of y becomes = o, and the whole coefficient of z becomes = o; the factors in question are b'c" - b"c', b"c - be", bc' - b'c (values which, as at once seen, have the desired property); we thus obtain an equation which contains on the left-hand side only a multiple of x, and on the right-hand side a constant term; the coefficient of x has the value a(b'c" - b"c') +a'(b"c - bc") +a'(bc' - b'c), and this function, represented in the form a, b,c, a' b'c', a" b" c" is said to be a determinant; or, the number of elements being 32, it is called a determinant of the third order.
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  • The products in question may be obtained by permuting in every possible manner the columns (or the lines) of the determinant, and then taking for the factors the n elements in the dexter diagonal.
    1
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  • a, b, c a' b' c', a"b" c", b", that is, every term which does not vanish contains as a factor the abc-determinant last written down; the sum of all other factors a0'y" is the a/37-determinant of the formula; and the final result then is, that the determinant on the left-hand side is equal to the product on the right-hand side of the formula.
    1
    0
  • But it may be doubted if, even so, the elections would have gone against Venizelos, had it not been for two other factors.
    1
    0
  • freeholders, and other factors have combined to form a story which makes painful reading from whatever point of view, social or political, it be regarded.
    1
    0
  • To arrive at any estimate of the national wealth is exceptionally difficult in the case of Ireland, since the largest part of its wealth is derived from agriculture, and many important factors, such as the amount of capital invested in the linen and other industries, cannot be included, owing to their uncertainty.
    1
    0
  • This is especially the case in the lower and moister regions, such as the west coast, where malarial fever is very prevalent and deadly; the most unfavourable factors being humidity with absence of climatic variation (daily or seasonal).
    1
    0
  • After bringing about the success of the Asiatic cults of Mithra and Cybele, these same factors now assured the triumph over exhausted paganism of yet another oriental religionChristianity after a duel which had lasted two centuries.
    1
    0
  • He had looked at the empire from the colonial point of view, in a way only possible in a colonial atmosphere; and at home some of his colleagues had gone a long way, behind the scenes, to destroy one of the very factors on which the question of a practical scheme for imperial commercial federation seemed to hinge.
    1
    0
  • The interpretations themselves were based (as in the case of divination through the liver) chiefly on two factors: - (I) on the recollection or on written records of what in the past had taken place when the phenomenon or phenomena in question had been observed, and (2) association of ideas - involving sometimes merely a play upon words - in connexion with the phenomenon or phenomena observed.
    1
    0
  • Although the factors which determine these phenomena are not clearly understood, it is believed that the appearance of the males is connected with the increasing cold of autumn and the growing scarcity of food, and that the birth of winged females is similarly associated with decrease in the quantity or vitiation of the quality of the nourishment imbibed.
    1
    0
  • Given a certain allowable heat transmission, the principal points to be considered in connexion with insulation are, first cost, durability, weight and space occupied, the two last named being specially important factors on board ship. No exact rules can be laid down, as the conditions vary so greatly; and though experiments have been made to determine the actual heat conduction of various materials per unit of surface, thickness and temperature difference, the experience of actual practice is at present the only accepted guide.
    1
    0
  • As to the nature of the chief factors concerned in the two revolutions in the vegetable kingdom, if it is admissible to use so strong a term, only a guess can be hazarded.
    1
    0
  • In strictness, sense, understanding, imagination and reason ought to have had their functions defined in close relation to the elements of knowledge with which they are severally connected, and as these elements have no existence as separate facts, but only as factors in the complex organic whole, it might have been possible to avoid the error of supposing that each subjective process furnished a distinct, separately cognizable portion of a mechanical whole.
    1
    0
  • There are aesthetic factors to bear in mind and your diamond wedding ring holds also a deeper significance.
    1
    0
  • Where the words are not clear, other factors can be taken into account to resolve the ambiguity.
    1
    0
  • Using hindsight a story can be told with a better understanding of all the contributing factors.
    1
    0
  • The completion was impeded by a number of factors.
    1
    0
  • Searching for risk factors in such groups would require a meticulous follow up of large cohorts.
    1
    0
  • Not only are there aesthetic factors to bear in mind, but your diamond wedding ring will hold a deeper significance to you.
    1
    0
  • abiotic environmental factors now start to become of less importance in controlling what can live where.
    1
    0
  • according to gender, socio-economic factors, or desire for further treatment.
    1
    0
  • acetylated histones is open and accessible to transcription factors, and the genes are potentially active.
    1
    0
  • One of the most common contributing factors is a tight Achilles tendon.
    1
    0
  • Those factors that can be influenced by human activity require very specific expertise.
    1
    0
  • actuarial calculation of risk factors.
    1
    0
  • Factors contributing to this poor outlook include the presence of locally advanced disease and undiagnosed metastases at presentation.
    1
    0
  • The factors which produced comparative advantage in one period can evaporate or move to another location in the next.
    1
    0
  • Precipitating factors usually involve a life event or social adversity.
    1
    0
  • aetiologytube defects have a complex and imperfectly understood etiology in which both genetic and environmental factors appear to be involved.
    1
    0
  • alleles at multiple gene loci plus environmental factors are involved in neural tube defects.
    1
    0
  • These factors also 3) promote mutual altruism, and 4) the will to spend more time together, including outside volunteering.
    1
    0
  • anaemiaosuppressive agents such as chick anemia virus, Gumboro disease or Mareks disease, or more general physiological stress, may all be factors.
    1
    0
  • Determining factors appear to be genetic predisposition coupled with the presence of sufficient circulating androgens.
    1
    0
  • Briefly, risk factors that can be modified and may help to prevent angina from getting worse are: Smoking.
    1
    0
  • Factors of interest The effectiveness of treatment for chronic stable angina.
    1
    0
  • CUTOFF is Fourier cut-off for fitted structure factors in reciprocal angstroms.
    1
    0
  • animate graphics depends on two main factors.
    1
    0
  • Factors of interest Nutritional status was measured using BMI and upper arm anthropometry.
    1
    0
  • However, numerous factors must first be weighed, including the fighting capability of the Iraqi army.
    1
    0
  • In the case of this modern superstition the process is doubly hard because various factors have combined to administer artificial respiration.
    1
    0
  • These factors included exhaustion asphyxia, dehydration, and congestive heart failure.
    1
    0
  • assert that genetic differences in gender account for some anti-social behavior especially in boys with genetic risk factors toward autism and hyperactivity.
    1
    0
  • They can be used very generally to study the angular momentum and spectroscopic factors associated with specific single particle states.
    1
    0
  • It has been documented that environmental factors such as air pollution can provoke or aggravate asthma symptoms in those who are already asthmatic.
    1
    0
  • atherosclerosis risk factors.
    1
    0
  • atopic asthma which is common in childhood has increased partly through trigger factors that encourage dust mites.
    1
    0
  • The influence of child, parent and home environment factors on cognitive attainments at school entry.
    1
    0
  • No known factors in the psychological environment of a child have been shown to cause autism.
    1
    0
  • Factors that induce involuntary automaticity include ambiguity, stress and fatigue, and lack of clear roles and responsibilities.
    1
    0
  • avalanche hazard depends on a number of factors.
    1
    0
  • bandy Yes, I didn't have a word at that time, human factors wasn't a term bandied about per se.
    1
    0
  • barley mildew isolates continue to become more complex, the majority carrying eight or more virulence factors.
    1
    0
  • batman outfit to which you are entitled depends on your educational status, among other esoteric factors.
    1
    0
  • Whether the force is fighting in a linear or a nonlinear battlefield, the factors of METTT will determine location of the FARP.
    1
    0
  • Epoetin alpha (Janssen-Cilag) and epoetin beta (Roche ), two other recombinant red cell growth factors, are also available.
    1
    0
  • There are many factors which influence bioavailability including the compound form of the mineral or trace element.
    1
    0
  • biotic factors exert over a forager's daily routine has remained an open question.
    1
    0
  • bladder cancer is caused by external factors.
    1
    0
  • Risk factors are: heart failure, diabetes, high blood pressure, a previous history of blood clots.
    1
    0
  • The third main observation from this research is the importance of the factors predicting professional burnout for Greek SEN teachers.
    1
    0
  • Fair enough there were other contributing factors as well, but the discarded butts were the ignition sources.
    1
    0
  • All insurers base prices on actuarial calculation of risk factors.
    1
    0
  • Factors associated with Coniothyrium canker of Eucalyptus in South Africa.
    1
    0
  • canonical variates is identical to the manner in which factors are interpreted in factor analysis.
    1
    0
  • There are two factors, which help to show the real outcome of free-market capitalism in Poland.
    1
    0
  • For purposes of developing a working definition, the Committee is considering other factors in addition to total market capitalization.
    1
    0
  • This relationship between VaD and AD is highlighted by their common risk factors especially cardiovascular.
    1
    0
  • carious lesion causes a shift in the balance of factors causing demineralisation.
    1
    0
  • It seems to achieve this by inhibiting those factors which destroy cartilage.
    1
    0
  • cartilage degradation associated with high IL-1 levels far outstrips any attempts at repair by these growth factors.
    1
    0
  • causation factors involved in every accident.
    1
    0
  • A number of factors affect your blood cholesterol levels.
    1
    0
  • Two factors assist the Greeks: the wind makes the water choppy, which reduces maneuverability of the Persian side.
    1
    0
  • clotting factors are proteins made by the liver.
    1
    0
  • combination of risk factors.
    1
    0
  • To better understand why air temperature alone is not a valid indicator of thermal comfort, see the six basic factors.
    1
    0
  • commutation factors.
    1
    0
  • There will no longer be a restriction on cash commutation factors.
    1
    0
  • comparable at baseline for risk factors and treatments.
    1
    0
  • Several prognostic factors and serum rituximab concentrations are useful for predicting the therapeutic efficacy.
    1
    0
  • This is dependent on the reason for input, the complexity of the care required, any complicating factors and patient concordance.
    1
    0
  • However, I did not confide in them the factors bearing on me to produce that decision.
    1
    0
  • A fortunate confluence of factors led to this success.
    1
    0
  • confluence of factors led to this success.
    1
    0
  • confounding factors is, however, their vagueness.
    1
    0
  • confounding factors such as unemployment were eliminated, the relationship between a high malaise score and smoking persisted.
    1
    0
  • The success of the day, in addition to other factors, depends heavily on safety considerations.
    1
    0
  • Weakening demand, rapid consolidation and a greater internationalization of styles are several factors are transforming apparel retailing in Western Europe like never before.
    1
    0
  • consonant duration in cases of missing or hidden linguistic factors.
    1
    0
  • All these ecological factors lead to severe constraints and increase famine vulnerability at alarming rates.
    1
    0
  • contextual factors affects how ICT is used.
    1
    0
  • There should be an active program to promote continence which covers the full range of continence factors.
    1
    0
  • contributory factors were recorded per accident.
    1
    0
  • The recipient's immune system must overcome the factors involved in immune privilege to reject the donor cornea.
    1
    0
  • countervailing factors rather than on simply raising the headline tax rate.
    1
    0
  • Impacts or factors affecting live maerl are generally not known, although damage by anchoring of oil rigs or recreational craft is possible.
    1
    0
  • These factors severely curtailed plans to explore on foot.
    1
    0
  • The combination of all these factors is very demanding on our hands and leads to dry, cracked skin and tough white cuticles.
    1
    0
  • Based on our findings, the results of peritoneal lavage cytology should thus be included in the factors for staging gastric cancer.
    1
    0
  • In advanced OA however, cartilage degradation associated with high IL-1 levels far outstrips any attempts at repair by these growth factors.
    1
    0
  • degree-day factors for ablation on the Greenland ice sheet studied by energy balance modeling.
    1
    0
  • By contrast, these and other factors covered by the study could not explain the difference between boys and girls in serious delinquency.
    1
    0
  • Unlike multi-infarct dementia major stroke risk factors are not present in CADASIL.
    1
    0
  • demography data confirmed that the treatment groups were well balanced for factors such as age, gender and severity of disease.
    1
    0
  • Factors to be considered when selecting an appropriate scanner include optical resolution, optical density, bit depth and scanning time.
    1
    0
  • One of the key positive factors we see is the prospect of a dollar depreciation.
    1
    0
  • A range of economic factors such as neighborhood deprivation and disintegration and high levels of unemployment underpin these psychological, social and family factors.
    1
    0
  • Where higher factors might appear desirable, a more thorough analysis of the problem should be undertaken before deciding on their use.
    1
    0
  • In addition to these tissue specificity determinants a core set of basic pathogenicity factors will be generally required for plant colonization.
    1
    0
  • Up to now, evolutionary developmental biology, in its search for conserved molecular factors, has mainly focussed on this compositional aspect.
    1
    0
  • dialogical pedagogies with a blend of theory and practice and experiential learning were key factors in the course's success.
    1
    0
  • Those with levels between 5.2 mmols/l and 6.5 mmols/l should be given dietary counseling and advice on the other risk factors.
    1
    0
  • Abstract Objective To clarify the role played by endothelial cell production of fibrinolytic factors in normal pregnancy and pre- eclampsia.
    1
    0
  • granulocyte colony-stimulating factors (G-CSF) for diabetic foot infections.
    1
    0
  • This will be achieved by implanting beads containing the relevant growth factors or pharmacological inhibitors of signaling pathways.
    1
    0
  • Skeletal growth factors (e.g. insulin growth factor 1, IGF1) also play a role.
    1
    0
  • hagglever, what the property eventually changes hands for is decided by various factors, not least you own haggling skills.
    1
    0
  • halting progress lie several factors, including bad roads and electricity in the rural areas that hamper rural computer use.
    1
    0
  • All of courses are totally hands-on -- it's one of the most important factors in what we do.
    1
    0
  • hemostatic factors: a prospective study.
    1
    0
  • actual hereditament Where the actual hereditament has been constructed with grant, different factors may influence negotiations.
    1
    0
  • Chromatin containing acetylated histones is open and accessible to transcription factors, and the genes are potentially active.
    1
    0
  • These different forms involve different linker histones, modulation of core histone modification and the binding of remodeling factors.
    1
    0
  • historiography of contemporary art, two factors seem particularly salient.
    1
    0
  • The risk assessment must take into account all factors that may influence the safe use of a hydraulic hoist.
    1
    0
  • homeobox domains are likely to play an important role in development and most are known to be sequence-specific DNA-binding transcription factors.
    1
    0
  • Thus these factors are likely to be centrally involved in the stem cell homing process, post transplantation, in the adult animal.
    1
    0
  • Geological and climactic factors have combined over millions of years to create a hothouse of evolution, a seemingly endless parade of marine life.
    1
    0
  • hypothesized that people (teachers) infer private stimulation based on collateral behavior or attendant contextual factors.
    1
    0
  • These factors drive in the neck auto insurance Springfield Illinois premiums for drivers.
    1
    0
  • Design service illuminance is derived from the standard service illuminance by taking account of the modifying factors contained in the flow chart.
    1
    0
  • importance of economic factors and the professional attitudes of doctors and officials in shaping a popular consensus must not be forgotten.
    1
    0
  • As there are a number of factors which can cause impotence, there is no specific impotence cure but a number of effective treatments.
    1
    0
  • inactivated in an irreversible way, whilst endogenous growth factors are protected simultaneously.
    1
    0
  • These factors may actually increase the incidence of the problem in a highly inbred line.
    1
    0
  • EXECUTE is limited by two factors: The need to compile the string at runtime makes EXECUTE inefficient in terms of speed.
    1
    0
  • Patients who have had a myocardial infarct will benefit most from a reduction in coronary heart disease risk factors.
    1
    0
  • Predisposing factors: H. pylori infection: A gram negative spiral microaerophilic bacillus specific for human gastric mucosa.
    1
    0
  • Biomarkers of exposure to organophosphorous insecticides among farmers ' families in rural El Salvador: Factors associated with exposure.
    1
    0
  • Risk factors for the development of hyperkalaemia include renal insufficiency, potassium sparing diuretics and the concomitant use of agents to treat hypokalaemia.
    1
    0
  • interacting factors.
    1
    0
  • A very complex interplay of factors has to be taken into account in building such a concept.
    1
    0
  • interplay of factors has to be taken into account in building such a concept.
    1
    0
  • interrelated factors.
    1
    0
  • intranet site File server Mail Service DNS service These services can fail due to two factors.
    1
    0
  • intubate the patient will depend on several factors.
    1
    0
  • Absorption of non-haem iron is affected by various factors in food.
    1
    0
  • irrelevant factors.
    1
    0
  • This is thought to have the downstream effect of activating transcription factors such as nuclear factor kappa B (NFkB ).
    1
    0
  • Incidence and risk factors for microbial keratitis in Hong Kong: comparison with Europe and North America.
    1
    0
  • Acanthamoeba keratitis in Scotland: risk factors for contact lens wearers.
    1
    0
  • Moreover, the activity of these transcription factors is regulated by mitogen-activated protein kinase (MAPK) pathways.
    1
    0
  • Also factors which determine the kinetics of drug action are studied.
    1
    0
  • Analysis of 2 mesoscale data sets showed that krill, rather than food or environmental factors, were most strongly implicated in copepod distribution.
    1
    0
  • labile coagulation factors.
    1
    0
  • These factors strengthened the princes, who no longer faced a challenge to their position as great feudal landowners.
    1
    0
  • lavage cytology should thus be included in the factors for staging gastric cancer.
    1
    0
  • It comes in many forms, prompted by various factors, not least fatigue.
    1
    0
  • It is generally accepted that the nature of the T cell response is one of the crucial factors controlling experimental and human leishmaniasis.
    1
    0
  • leucine zipper (bZIP) family of transcription factors.
    1
    0
  • This was then normalized to a value per passenger carried, based on maximum and average load factors.
    1
    0
  • How We Can help This factsheet has concentrated on potentially long-term tax factors to bear in mind.
    1
    0
  • This review examines the roles of the major fibrinolytic factors involved in clot lysis.
    1
    0
  • magnifyn ill informed opinion is that this frustration is being magnified by two factors.
    1
    0
  • All these factors have undermined food crop yields, leaving the local communities malnourished.
    1
    0
  • There are several factors which can increase response rates in Activity Sampling: ABC is now mandatory.
    1
    0
  • marginal for agriculture is one of many factors driving people into poverty.
    1
    0
  • Details of article Assessing what factors affect marmosets breeding success by Sharyn Amos.
    1
    0
  • Without complicating matters at all, it boils down to a couple of basic factors.
    1
    0
  • Follicular factors affecting oocyte maturation and development competence 20.
    1
    0
  • The sample in factors affected Medicaid above is the.
    1
    0
  • Team as well factors may also medical insurance Florida Claims Management coding also allows for the new tables.
    1
    0
  • medium of these factors are helping push journals from paper to electronic media.
    1
    0
  • An example of (2) would be a study of risk factors for uveal melanoma, or corneal ulcers.
    1
    0
  • militatey there are factors militating against a progressive approach to NGO messaging.
    1
    0
  • In the present study of commercially farmed mink, all of these factors have been integrated in one housing system.
    1
    0
  • moderated reactors: Magnox reactors: Factors affecting choice of fuel, cladding and moderator.
    1
    0
  • Together with patient history and potential underlying co morbidity factors this may lead to a provisional diagnosis of PG.
    1
    0
  • Changes in a number of other factors can also influence island morphology (Figure 1 ).
    1
    0
  • DEA measures performance in a way which reflects the multiplicity of resources and environmental factors typically used to secure multiple outcomes.
    1
    0
  • multiplicity of factors makes the " condom solution " of Western countries irrelevant.
    1
    0
  • Factors of interest Unilateral spatial neglect is a commonly occurring disorder following stroke.
    1
    0
  • What are the risk factors for developing post herpetic neuralgia?
    1
    0
  • The central factors are related to the status of the motor neuron.
    1
    0
  • The neutron fluence rate depends upon factors such as target thickness, charged particle beam current, geometry and required neutron fluence rate depends upon factors such as target thickness, charged particle beam current, geometry and required neutron energy resolution.
    1
    0
  • nevusCUSSION: These results are very similar to those published in the literature concerning risk factors for growth of choroidal nevi.
    1
    0
  • It's about a whole nexus of social, scientific and economic factors.
    1
    0
  • Also included are expression data relating to the efficiency of splicing relative to other processes in strains of yeast lacking nonessential splicing factors.
    1
    0
  • It's the most obvious kind of common sense to attempt to rein in the factors which are making us an increasingly obese nation.
    1
    0
  • oestrus detection in cattle and the risk factors for endometritis.
    1
    0
  • Among other things, changes of gene dosage and/or oncogene activation are mentioned as factors possibly influencing the characteristics of this non-random pattern.
    1
    0
  • The buyer must place the onus for these crucial factors with the seller.
    1
    0
  • But other factors mean that they give more oomph in relation to their clock speed.
    1
    0
  • The decision to offer injectable opiates must take all factors into account for each patient.
    1
    0
  • outstrip supportive factors due to removal of organisms from their natural environment.
    1
    0
  • These factors have caused significant overcapacity in the United Kingdom and in Western Europe generally.
    1
    0
  • overeating, smoking and drinking to excess as low self-esteem factors.
    1
    0
  • oxidation of lipids in the blood are important factors leading to heart disease.
    1
    0
  • The revised IPCC Guidelines document [25] was used to give a range of emission factors for nitrous oxide.
    1
    0
  • parentage coefficients are the product of three factors.
    1
    0
  • Research topics include pathogenesis, virulence factors, immune mechanisms, genetic studies and viruses, prokaryotic organisms, and protozoa.
    1
    0
  • In evaluating barriers and enablers, we note the paucity of research about how these factors interact.
    1
    0
  • pedagogyipatory and dialogical pedagogies with a blend of theory and practice and experiential learning were key factors in the course's success.
    1
    0
  • penetrance of the various genotypes and the involvement of environmental factors.
    1
    0
  • The Chinese: and Cretan questions were disturbing factors.
    1
    1
  • The factors s or 0 are observed independently.
    1
    1
  • When the nature and effect of ecological factors have become more fully understood, it will be possible to dispense with the above artificial classification of factors, and to frame one depending on the action of the various factors; but such a classification is not possible in the present state of knowledge.
    1
    3
  • Tiedemann, 2 the Heidelberg anatomist, who has been generally ignored, although he surpassed many a recent zoogeographer by the wide view he took of the problem; in fact he was the first to connect distribution with environmental or bionomic factors; e.g.
    1
    3
  • The relation between the b.h.p. and the torque on the driving-axle is 55 o B.H.P. =Tu., (9) It is usual with steam locomotives to regard the resistance R as including the frictional resistances between the cylinders and the driving-axle, so that the rate at which energy is expended in moving the train is expressed either by the product RV, or by the value of the indicated horse-power, the relation between them being 55 0 I.H.P. =RV (Io) or in terms of the torque 55 0 I.H.P.X€=RVe=TW (II) The individual factors of the product RV may have any value consistent with equation (to) and with certain practical conditions, so that for a given value of the I.H.P. R must decrease if V increases.
    1
    3
  • The system will weigh heavily the choices of people with Italian last names, and people who own restaurants—all these different factors, millions and millions of factors, all from the passively recorded life experiences of a billion people.
    1
    3
  • Fifth: We will understand correlations between lifestyle factors, quality of life, and genome.
    1
    3
  • In addition, how food affects us unquestionably has a lot to do with genetic factors, and because everyone has a different genetic makeup, different foods affect each of us differently.
    1
    3
  • And finally, consider how nutrition affects other relative and subjective factors in our lives such as energy level and mood.
    1
    3
  • The evidence as set out by Darwin has been added to enormously; new knowledge has in many cases altered our conceptions of the mode of the actual process of evolution, and from time to time a varying stress has been laid on what are known as the purely Darwinian factors in the theory.
    1
    4
  • Naturally very many other factors have to be considered, but this alone is a sufficient reason to restrain attempts to place existing forms in linear phylogenetic series.
    1
    4
  • The factors Af (u-v cos i) and Bf (v sin i) give the frictional resistance to sinking, per unit length of the cable, in the direction of the length and transverse to the length respectively.
    1
    5
  • On the other hand, ecological plant geography seeks to ascertain the distribution of plant communities, such as associations and formations, and enquires into the nature of the factors of the habitat which are related to the distribution of plantsplant forms, species, and communities.
    1
    5
  • Only the careful observation of organisms throughout the earlier phases of their life-history can the closely related factors be distinguished with any approach to scientific accuracy.
    0
    0
  • No trustworthy estimate of the rate of the increase of production can, however, be formed, as several uncertain economic factors have to be taken into account.
    0
    0
  • af Expression in Terms of Roots.-Since x+y y =mf, if we take cx any root x 3, y1, ofand substitute in mf we must obtain, y 1 C) zaZ1 �; hence the resultant of and f is, disregarding numerical factors, y,y2...y,,.
    0
    0
  • To obtain the corresponding theorem concerning the general form of even order we multiply throughout by (ab)2' 2c272 and obtain (ab)2m-1(ac)bxc2:^1=(ab)2mc2 Paying attention merely to the determinant factors there is no form with one factor since (ab) vanishes identically.
    0
    0
  • For two factors the standard form is (ab) 2; for three factors (ab) 2 (ac); for four factors (ab) 4 and (ab) 2 (cd) 2; for five factors (ab) 4 (ac) and (ab) 2 (ac)(de) 2; for six factors (ab) 6, (ab) 2 (bc) 2 (ca) 2, and (ab) 2 (cd) 2 (ef) 2 .
    0
    0
  • of the symbolic factors of the form are replaced by IA others in which new variables y1, y2 replace the old variables x1, x 2 .
    0
    0
  • Every symbolic product, involving several sets of cogredient variables, can be exhibited as a sum of terms, each of which is a polar multiplied by a product of powers of the determinant factors (xy), (xz), (yz),...
    0
    0
  • If we have a symbolic product, which contains the symbol a only in determinant factors such as (ab), we may write x 2, -x 1 for a 1, a 2, and thus obtain a product in which (ab) is replaced by b x, (ac) by c x and so on.
    0
    0
  • The second evectant is obtained by similarly operating upon all the symbols remaining which only occur in determinant factors, and so on for the higher evectants.
    0
    0
  • d x the first evectant; and thence 4cxdi the second evectant; in fact the two evectants are to numerical factors pres, the cubic covariant Q, and the square of the original cubic.
    0
    0
  • Calling the discriminate D, the solution of the quadratic as =o is given by the formula a: = o (a0+a12_x2 (a0x+aix2 If the form a 2 be written as the product of its linear factors p.a., the discriminant takes the form -2(pq) 2.
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  • If (f,4) 1 be not a perfect square, and rx, s x be its linear factors, it is possible to express f and 4, in the canonical forms Xi(rx)2+X2(sx)2, 111(rx)2+1.2 (sx) 2 respectively.
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  • we find that Di must be equal to p x g x for then t x (p x) 3 +, u (g x) 3, Hence, if px, qx be the linear factors of the Hessian 64, the cubic can be put into the form A(p x) 3 +�(g x) 3 and immediately solved.
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  • The .sextic covariant t is seen to be factorizable into three quadratic factors 4 = x 1 x 2, =x 2 1 - 1 - 2 2, 4) - x, which are such that the three mutual second transvectants vanish identically; they are for this reason termed conjugate quadratic factors.
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  • It is on a consideration of these factors of t that Cayley bases his solution of the quartic equation.
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  • of f=0, :and notices that they become identical on substituting 0 for k, and -f for X; hence, if k1, k2, k 3 be the roots of the resolvent -21 2 = (o + k if) (A + k 2f)(o + k 3f); and now, if all the roots of f be different, so also are those of the resolvent, since the latter, and f, have practically the same discriminant; consequently each of the three factors, of -21 2, must be perfect squares and taking the square root 1 t = -' (1)�x4; and it can be shown that 0, x, 1P are the three conjugate quadratic factors of t above mentioned.
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  • the quartic to a quadratic. The new variables y1= 0 are the linear factors of 0.
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  • If 4) = rx.sx, the Y2 =1 normal form of a:, can be shown to be given by (rs) 4 .a x 4 = (ar) 4s: 6 (ar) 2 (as) 2rxsy -I- (as) 4rx; 4) is any one of the conjugate quadratic factors of t, so that, in determining rx, sx from J z+k 1 f =o, k 1 is any root of the resolvent.
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  • Certain convariants of the quintic involve the same determinant factors as appeared in the system of the quartic; these are f, H, i, T and j, and are of special importance.
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  • Now, evidently, the third transvectant of f, expressed in this form, with the cubic pxgxrx is zero, and hence from a property of the covariant j we must have j = pxgxrx; showing that the linear forms involved are the linear factors of j.
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  • This canonical form depends upon j having three unequal linear factors.
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  • x x x To form an invariant or covariant we have merely to form a product of factors of two kinds, viz.
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  • Such a symbolic product, if its does not vanish identically, denotes an invariant or a covariant, according as factors az, bz, cz,...
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  • If ai, bx, cx be different forms we obtain, after development of the squared determinant and conversion to the real form (employing single and double dashes to distinguish the real coefficients of bx and cz), a(b'c"+b"c'-2 f'f") +b(c'a"+c"a'-2g'g") +c(a' +a"b'-2h'h")+2f(g'h"+g"h'-a' + 2g (h ' f"+h"f'-b'g"-b"g')+2h(f'g"+f"g'-c'h"-c"h'); a simultaneous invariant of the three forms, and now suppressing the dashes we obtain 6 (abc+2fgh -af t - bg 2 -ch2), the expression in brackets being the S well-known invariant of az, the vanishing of which expresses the condition that the form may break up into two linear factors, or, geometrically, that the conic may represent two right lines.
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  • When a z and the invariants B and C all vanish, either A or j must vanish; in the former case j is a perfect cube, its Hessian vanishing, and further f contains j as a factor; in the latter case, if p x, ax be the linear factors of i, f can be expressed as (pa) 5 f =cip2+c2ay; if both A and j vanish i also vanishes identically, and so also does f.
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  • denominator factors, that the complete system of the quadratic is composed of the form itself of degree order I, 2 shown by az 2, and of the Hessian of degree order 2, o shown by a2.
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  • Again, for the cubic, we can find A3(z) - -a6z6 1 -az 3.1 -a 2 z 2.1 -a 3 z 3.1 -a4 where the ground forms are indicated by the denominator factors, viz.: these are the cubic itself of degree order I, 3; the Hessian of degree order 2, 2; the cubi-covariant G of degree order 3, 3, and the quartic invariant of degree order 4, o.
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  • 1 A2B' Where The Denominator Factors Indicate The Forms Themselves, Their Jacobian, The Invariant Of The Quadratic And Their Resultant; Connected, As Shown By The Numerator, By A Syzygy Of Degreesorder (2, 2; 2).
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  • Since +xZ=x x we have six types of symbolic factors which may be used to form invariants and covariants, viz.
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  • The number of different symbols a, b, c,...denotes the the covariants are homogeneous, but not in general isobaric functions, of the coefficients of the original form or forms. Of the above general form of covariant there are important transformations due to the symbolic identities: - (�b) 2 2)2 = a b - a b; (x� = as a consequence any even power of a determinant factor may be expressed in terms of the other symbolic factors, and any uneven power may be expressed as the product of its first power and a function of the other symbolic factors.
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  • if the determinant factors to be, each of them, either zero or unity.
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  • Or, if we please, we may leave the determinant factors untouched and consider the exponents ji, j2, j3,���11, 12, 1 3, ...
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  • Apart altogether from the facts that this investigation is still in its infancy and that the conditions of experiment are insufficiently understood, its ultimate success is rendered highly problematical by the essential fact that real scientific results can be achieved only by data recorded in connexion with a perfectly nortnal subject; a conscious or interested subject introduces variable factors which are probably incalculable.
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  • du Bois has deduced the corresponding mean demagnetizing factors.
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  • p. 41): Demagnetizing Factors.
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  • The magnetometric method, except when employed in connexion with ellipsoids, for which the demagnetizing factors are [[[Magnetic Measurements]] accurately known, is generally less satisfactory for the exact determination of induction or magnetization than the ballistic method.
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  • In order to save arithmetical labour it is convenient to be provided with conversion factors for reducing variously expressed results to the standard form.
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  • The truth is that the extent to which national honour is involved depends on factors which have nothing to do with the immediate subject of complaint.
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  • It becomes equivalent to economic laisser-faire and "Manchesterism," and as such it must fight its own corner with those who now take into consideration many national factors which had no place in the early utilitarian individualistic regime of Cobden's own day.
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  • Efforts to create a native industry date only from 1867, and, considering the shortness of the time and other adverse factors, such as scarcity of capital, lack of means of communication, the development of industry in the neighbouring state of Austria, &c., the industry of Hungary has made great strides.
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  • His care for the common people was sincere and constant, but his beneficial efforts in this direction were thwarted by the curious interaction of two totally dissimilar social factors, feudalism and Hussitism.
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  • The numerical factor 6 is called the coefficient of a 5 bc 2 (� 20); and, generally, the coefficient of any factor or of the product of any factors is the product of the remaining factors.
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  • The extension to multinomials forms part of the theory of factors (� 51).
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  • Suppose, for instance, that n=5, so that we take five factors (A+a) (B+b) (C+c) (D+d) (E+e) and find their product.
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  • It is usual to write this as a fraction, inverting the order of the factors in the numerator.
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  • (n-r+ I) (r factors) by n (r), then n(r)-n(r)/r!.
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  • are supposed to be obtained successively by introduction of new factors, so that r!=r.
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  • Relation between Roots and Factors.
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  • (iv.) Thus the problems of determining the roots of an equation P = o and of finding the factors of P, when P is a rational integral function of x, are the same.
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  • (a+r+ p - i �b), we divide the product of the p+1 factors which occur either in the nth or in the (n+i)th term by p+ 1, and by the common difference of the factors, and add to a constant, whose value is found by putting n= o.
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  • Another kind of sequence is that which is formed by introducing the successive factors of a continued product; e.g.
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  • the successive factors on the right-hand side of Wallis's theorem it 2.2 4.4 6.6 2 = 1.3.
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  • His principal discovery is concerned with equations, which he showed to be derived from the continued multiplication of as many simple factors as the highest power of the unknown, and he was thus enabled to deduce relations between the coefficients and various functions of the roots.
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  • The second and third factors of (3) being each of the form sin 2u/u2, we have to examine the character of this function.
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  • When a, b, X are regarded as constant, the first factor may be omitted, - as indeed should be done for consistency's sake, inasmuch as other factors of the same nature have been omitted already.
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  • The occurrence of factors such as sin 4), or 2 (1cos 0), in the expression of the secondary wave has no influence upon the result of the integration, the effects of all the elements for which the factors differ appreciably from unity being destroyed by mutual interference.
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  • There are other factors, however, which have kept pathology in the background.
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  • At the present time we are quite uncertain what is the ultimate cause of new growths; in all probability there may be one or more aetiological factors at play disturbing that perfect condition of equilibrium of normal tissues.
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  • Thus Ludwig was of opinion that the lymph-flow is dependent upon two factors, first, difference in pressure of the blood in the capillaries and the liquid in the plasma spaces outside; and, secondly, chemical interchanges setting up osmotic currents through the vessel-walls.
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  • 513; Starling, " Mechanical Factors in Lymph Production," Journ.
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  • If there are more B corners than one, either on xA or x'A', the expression for i is the product of corresponding factors, such as in (5) Restricting the attention to a single corner B, a = n(cos no +i sin 110) _ (b-a'.0-a) +1!
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  • Consider, for example, a submarine boat under water; the inertia is different for axial and broadside motion, and may be represented by (1) c 1 =W+W'a, c2=W+W'/3' where a, R are numerical factors depending on the external shape; and if the C.G is moving with velocity V at an angle 4) with the axis, so that the axial and broadside component of velocity is u = V cos 0, v =V sin 4), the total momentum F of the medium, represented by the vector OF at an angle 0 with the axis, will have components, expressed in sec. Ib, F cos 0 =c 1 - = (W +W'a) V cos 43, F sin 0 = c 2.11 = (W +W'/3) V sin 4) .
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  • Too much stress, however, cannot be laid upon these figures, since the fertility of a soil is very greatly influenced by texture and physical constitution, perhaps more so by these factors than by chemical composition.
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  • The evidence, however, is not sufficiently strong to warrant a universal conclusion, the diffusion of cholera appearing to be largely dependent upon other factors than soil states.
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  • We may consider that, in country districts, constant soil moisture is one of the chief factors; while in the case of urban outbreaks mere soil moisture is subsidiary to other more potent causes.
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  • Whilst, however, the plant adapts itself to a great variety of climatic conditions and will grow on almost all kinds of soil, the flavour and quality of the produce are profoundly affected by variations in these two factors.
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  • Among the factors, economic, geographic, political and social, which combined to bring about the decline of the Hanseatic League, none was probably more influential than the absence of a German political power comparable in unity and energy with those of France and England, which could quell particularism at home, and abroad maintain in its vigour the trade which these towns had developed and defended with their imperfect union.
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  • The success of the operation depends upon two factors: (I) that the heating be careful, slow and steady, and (2) that the column attached to the flask be efficient to sort out, as it were, the most volatile vapour.
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  • Shiloh revealed to Grant the intensity of the struggle, and after that battle, appreciating to the full the material and moral factors with which he had to deal, he gradually trained his military character on those lines which alone could conduce to ultimate success.
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  • 1886, Factors of Organic Evolution.
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  • Two factors contributed to produce this result, the extraordinary political sagacity of Olgierd and the life-long devotion of his brother Kiejstut.
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  • The multiplication is shown in the adjoining diagram; the factors s ands are kept outside, so that the sum uo,o+3uo,1+ ...
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  • are k of the factors (including 1) of m, we take A -IPCp+ Q C 4+ RC, .
    0
    0
  • are le of the factors of m, is A = PC P + QC / + r + ...
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  • Live-stock and dairy products are important factors in the T C t o L %i, aa.
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  • This in part depended on national factors, which became more clearly visible as the situation of the Central Powers became more and more unfavourable, but it was in part due simply to the exhaustion due to economic need.
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  • The Apologists no doubt show us certain fresh factors entering into this development; but on the whole the Apostolic Fathers by themselves go a long way to explain the transition in question, so far as knowledge of this saeculum obscurum is within our reach at all.
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  • Darwin's experiments in reference to the movements of climbing and twining plants, and of leaves in insectivorous plants, have opened up a wide field of inquiry as to the relation between plants and the various external factors, which has attracted numerous workers.
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  • It is true that from the 4th century onwards it expanded beyond the borders of that empire to east and west, north and south; but the infant churches which gradually arose in Persia and Abyssinia, among some of the scattered Teutonic races, and among the Celts of Ireland, were at first not co-operating factors in the development of Christendom: they received without giving in return.
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  • The factors which have brought about this reaction have been, as was already noted, partly economic, partly political: on the one hand, the pressure of competition from distant countries in agricultural products, a consequence chiefly of improved transportation; on the other hand, the revival of national sentiment and prejudice.
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  • The only way of saving the Republic from disintegration was to concentrate all its political factors into a sejm-walny or general diet.
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  • But at all three elections, though money and intrigue were freely employed, they were not the determining factors of the contest.
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  • The resistance R can thus be divided into two factors, one of which is d 2, where d denotes the diameter of the shot in inches, and the other factor is denoted by p, where p is the resistance in pounds at the same velocity to a similar I-in.
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  • These two works, the Logia (or, as some prefer to call it, the Non-Marcan document common to Matthew and Luke) and the Mark-Gospel, were the prime factors in all the subsequent composition of Gospels.
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  • The three component parts or factors of price vary with the circumstances of the society.
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  • Napier's logarithms are not the logarithms now termed Napierian or hyperbolic, that is to say, logarithms to the base e where e= 2.7182818 ...; the relation between N (a sine) and L its logarithm, as defined in the Canonis Descriptio, being N=10 7 e L/Ip7, so that (ignoring the factors re, the effect of which is to render sines and logarithms integral to 7 figures), the base is C".
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  • The principle of the method is to multiply the given prime (supposed to consist of 4, 5 or 6 figures) by such a factor that the product may be a number within the range of the factor tables, and such that, when it is increased by I or 2, the prime factors may all be within the range of the logarithmic tables.
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  • The best general method of calculating logarithms consists, in its simplest form, in resolving the number whose logarithm is required into factors of the form I - i r n, where n is one of the nine digits, and making use of subsidiary tables of logarithms of factors of this form.
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  • Dividing by 10 5 and by 5 the number becomes i 087678, and resolving this number into factors of the form i - irn we find that 543 8 39 = I O 5 X 5 (I - 1 2 8)(i - 06)(I - 163)(i---.173) X(I_.195)(1 - .197)(1 - ilo 9)(I -.
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  • The resolution of a number into factors of the above form is easily performed.
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  • 000003, we obtain 1.000000 35793 2, and it is clear that these last six significant figures represent without any further work the remaining factors required.
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  • In the corresponding antilogarithmic process the number is expressed as a product of factors of the form 1+.i"x.
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  • This method of calculating logarithms by the resolution of numbers into factors of the form i -.
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  • i r n is generally known as Weddle's method, having been published by him in The Mathematician for November 1845, and the corresponding method for antilogarithms by means of factors of the form i+( I) r n is known by the name of Hearn, who published it in the same journal for 1847.
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  • In 1846 Peter Gray constructed a new table to 12 places, in which the factors were of the form I - (oi) r n, so that n had the values I, 2,.
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  • 99; and subsequently he constructed a similar table for factors of the form I +( oi) r n.
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  • of factors of the form I + I r n) to the construction of logarithms, and calculated a table of logarithms of factors of the form i +( ooi) r n to 24 places.
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  • Taking as an example the calculation of the Briggian logarithm of the number 43,867, whose hyperbolic logarithm has been calculated above, we multiply it by 3, giving 131,601, and find by Gray's process that the factors of 1.31601 are (I) 1.316 (5) I.
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  • 1) r n to 2 places; and in his Tables de Logarithmes d 2 7 Decimales (Paris, 1867 Fedor Thoman gives tables of logarithms of factors of the form I t i r n.
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  • In other words, a balance appears to be always sustained between the internal (hereditary and ontogenetic) and the external (environmental and selectional) factors of evolution.
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  • Among American contributions to vertebrate palaeontology, 'the development of Cope's theories is to be found in the volumes of his collected essays, The Origin of the Fittest (New York, 1887), and The Primary Factors of Organic Evolution (Chicago, 1896).
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  • In England the political schemings of Parsons were no small factors in the odium which fell on the Society at large; and his determination to capture the English Catholics as an apanage of the Society, to the exclusion of all else, was an object lesson to the rest of Europe of a restless ambition and lust of domination which were to find many imitators.
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  • Indirectly, however, Gnosticism was certainly one of the most powerful factors in the development of Christianity in the ist century.
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  • The first three of these have become important factors in the development of Mexico.
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  • By his theory of the disputes between the patricians and plebeians arising from original differences of race he drew attention to the immense importance of ethnological distinctions, and contributed to the revival of these divergences as factors in modern history.
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  • If we consider in conclusion that Manichaeism gave a simple, apparently profound, and yet convenient solution of the problem of good and evil, a problem that had become peculiarly oppressive to the human race in the and and 3rd centuries, we shall have named the most important factors which account for the rapid spread of the system.
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  • The physical geography of Canada is so closely bound up with its geology that at least an outline of the geological factors involved in its history is necessary to understand the present physiography.
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  • Despite the increase in railway facilities, the waterways remain important factors in the transportation of the country.
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  • As for his theology, its leading factors were - (i.) the teachings of the apologists; (ii.) the philosophy of the Stoics; (iii.) the rule of faith, interpreted in an anti-Gnostic sense, as he had received it from the Church of Rome; (iv.) the Soteriological theology of Melito and Irenaeus; (v.) the substance of the utterances of the Montanist prophets (in the closing decades of his life).
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  • The Current Grouping of Mankind and Nation-making.- In the consolidation of peace one of the most important factors is unquestionably the grouping of mankind in accordance with the final territorial and racial limitations of their apparent destiny.
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  • We have been dealing hitherto with the elimination of the causes of war; neutralization is a curtailment of the areas of war and of the factors in warfare, of territory on the one hand and states on the other.
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  • of two independent factors (i) an absorption of the incident radiation, and (2) the radiation of the absorbing medium, which takes place equally in' all directions.
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  • The question is: which of these three factors is significant in the explanation of the widening?
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  • His exegesis owes its interest to his subjective resources rather than to breadth of learning; his power lay in spiritual vision rather than balanced judgment, and in the vivid apprehension of the factors which make the Christian personality, rather than in constructive doctrinal statement.
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  • This is, of course, more true of the middle ages than of the times that preceded and followed them; the Church under the Roman empire hardly as yet realized the possibilities of " sermons in stones," and took over, with little change, the model of the secular and religious buildings of pagan Rome; the Renaissance, essentially a neo-pagan movement, introduced disturbing factors from outside, and, though developing a style very characteristic of the age that produced it, started that archaeological movement which has tended in modern times to substitute mere imitations of old models for any attempt to express in church architecture the religious spirit of the age.
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  • According to him, we begin with an experience of ideas, in which object and idea are originally identical (V orstellungsobject); we divide this unitary experience into its subjective and objective factors; and especially in natural science we so far abstract the objects as to believe them at last to be independent things; but it is the office of psychology to warn us against this popular dualism, and to teach us that there is only a duality of psychical and physical, which are divisible, not separable, factors of one and the same content of our immediate experience; and experience is our whole knowledge.
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  • From slow beginnings these factors kept gaining momentum until they compassed the overthrow of the mighty order of the Jesuits, and culminated in the revolutionary spoliation of the Church.
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  • It was the first attempt to recognize psychological factors in historical movements, but otherwise its importance was exaggerated.
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  • A moment's consideration, however, will show that, while an albino may be an individual in which one or more of the complementary bodies of pigmentation are absent, a pigmented animal is something more than an individual which carries all the factors necessary for the development of colour.
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  • There is thus evidence that colour is correlated with other factors which determine pattern.
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  • that these particular albinoes are carrying in the soma the pattern determinants simultaneously with the absence of some of the factors for pigmentation.
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  • It is not only among albino animals that colour factors are carried in a latent condition, but also in white flowers.
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  • Bateson considers that the purple colour is due to the simultaneous existence in the plant of two colour factors which may be designated by C and R.
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  • When they are crossed the two factors for colour production are brought together.
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  • By pigmentation is here meant all those factors which go to its production.
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  • The relative value of any group of animals or plants for the correlation of distant areas must vary greatly with the varying conditions of sedimentation and with the precise definition of the zonal species and with many other factors.
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  • Like these, also, they respire oxygen, and are independent of light; and their various powers of growth, secretion, and general metabolism, irritability, and response to external factors show similar specific variations in both cases.
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  • The land is for the most part let by the proprietors to mercanti di Campagna, who employ a subordinate class of factors (fattori) to manage their affairs on the spot.
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