How to use Factors in a sentence

factors
  • You will then look to see what other factors they all have in common.

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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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  • 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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  • 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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  • 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 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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  • 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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  • 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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  • Many factors helped in the process of assimilation.

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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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  • 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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  • 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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  • 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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  • 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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  • 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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  • 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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  • And of the redheads themselves, are there factors among the clumsy ones that are different than the coordinated ones?

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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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  • 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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  • 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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  • 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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  • Hence, if a number has factors, one at least of these must be a prime.

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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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  • These are called prime factors.

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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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  • 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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  • 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.

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  • But it may be doubted if, even so, the elections would have gone against Venizelos, had it not been for two other factors.

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  • 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.

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  • 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).

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  • 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.

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  • 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.

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  • 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.

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  • 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.

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  • 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.

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  • 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.

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  • There are aesthetic factors to bear in mind and your diamond wedding ring holds also a deeper significance.

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  • Where the words are not clear, other factors can be taken into account to resolve the ambiguity.

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  • Using hindsight a story can be told with a better understanding of all the contributing factors.

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  • The completion was impeded by a number of factors.

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  • Searching for risk factors in such groups would require a meticulous follow up of large cohorts.

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  • Not only are there aesthetic factors to bear in mind, but your diamond wedding ring will hold a deeper significance to you.

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  • One of the most common contributing factors is a tight Achilles tendon.

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  • Those factors that can be influenced by human activity require very specific expertise.

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  • Factors contributing to this poor outlook include the presence of locally advanced disease and undiagnosed metastases at presentation.

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  • The factors which produced comparative advantage in one period can evaporate or move to another location in the next.

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  • Precipitating factors usually involve a life event or social adversity.

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  • Determining factors appear to be genetic predisposition coupled with the presence of sufficient circulating androgens.

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  • Factors of interest Nutritional status was measured using BMI and upper arm anthropometry.

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  • However, numerous factors must first be weighed, including the fighting capability of the Iraqi army.

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  • In the case of this modern superstition the process is doubly hard because various factors have combined to administer artificial respiration.

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  • These factors included exhaustion asphyxia, dehydration, and congestive heart failure.

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  • They can be used very generally to study the angular momentum and spectroscopic factors associated with specific single particle states.

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  • It has been documented that environmental factors such as air pollution can provoke or aggravate asthma symptoms in those who are already asthmatic.

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  • No known factors in the psychological environment of a child have been shown to cause autism.

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  • Factors that induce involuntary automaticity include ambiguity, stress and fatigue, and lack of clear roles and responsibilities.

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  • Whether the force is fighting in a linear or a nonlinear battlefield, the factors of METTT will determine location of the FARP.

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  • Epoetin alpha (Janssen-Cilag) and epoetin beta (Roche ), two other recombinant red cell growth factors, are also available.

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  • There are many factors which influence bioavailability including the compound form of the mineral or trace element.

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  • The third main observation from this research is the importance of the factors predicting professional burnout for Greek SEN teachers.

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  • Fair enough there were other contributing factors as well, but the discarded butts were the ignition sources.

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  • All insurers base prices on actuarial calculation of risk factors.

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  • Factors associated with Coniothyrium canker of Eucalyptus in South Africa.

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  • There are two factors, which help to show the real outcome of free-market capitalism in Poland.

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  • For purposes of developing a working definition, the Committee is considering other factors in addition to total market capitalization.

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  • This relationship between VaD and AD is highlighted by their common risk factors especially cardiovascular.

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  • It seems to achieve this by inhibiting those factors which destroy cartilage.

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  • A number of factors affect your blood cholesterol levels.

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  • To better understand why air temperature alone is not a valid indicator of thermal comfort, see the six basic factors.

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  • There will no longer be a restriction on cash commutation factors.

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  • Several prognostic factors and serum rituximab concentrations are useful for predicting the therapeutic efficacy.

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  • This is dependent on the reason for input, the complexity of the care required, any complicating factors and patient concordance.

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  • However, I did not confide in them the factors bearing on me to produce that decision.

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  • A fortunate confluence of factors led to this success.

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  • The success of the day, in addition to other factors, depends heavily on safety considerations.

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  • Weakening demand, rapid consolidation and a greater internationalization of styles are several factors are transforming apparel retailing in Western Europe like never before.

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  • All these ecological factors lead to severe constraints and increase famine vulnerability at alarming rates.

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  • There should be an active program to promote continence which covers the full range of continence factors.

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  • The recipient's immune system must overcome the factors involved in immune privilege to reject the donor cornea.

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  • Impacts or factors affecting live maerl are generally not known, although damage by anchoring of oil rigs or recreational craft is possible.

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  • These factors severely curtailed plans to explore on foot.

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  • The combination of all these factors is very demanding on our hands and leads to dry, cracked skin and tough white cuticles.

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  • Based on our findings, the results of peritoneal lavage cytology should thus be included in the factors for staging gastric cancer.

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  • In advanced OA however, cartilage degradation associated with high IL-1 levels far outstrips any attempts at repair by these growth factors.

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  • By contrast, these and other factors covered by the study could not explain the difference between boys and girls in serious delinquency.

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  • Unlike multi-infarct dementia major stroke risk factors are not present in CADASIL.

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  • Factors to be considered when selecting an appropriate scanner include optical resolution, optical density, bit depth and scanning time.

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  • One of the key positive factors we see is the prospect of a dollar depreciation.

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  • Where higher factors might appear desirable, a more thorough analysis of the problem should be undertaken before deciding on their use.

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  • In addition to these tissue specificity determinants a core set of basic pathogenicity factors will be generally required for plant colonization.

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  • Up to now, evolutionary developmental biology, in its search for conserved molecular factors, has mainly focussed on this compositional aspect.

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  • 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.

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  • Abstract Objective To clarify the role played by endothelial cell production of fibrinolytic factors in normal pregnancy and pre- eclampsia.

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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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  • This will be achieved by implanting beads containing the relevant growth factors or pharmacological inhibitors of signaling pathways.

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  • Skeletal growth factors (e.g. insulin growth factor 1, IGF1) also play a role.

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  • All of courses are totally hands-on -- it's one of the most important factors in what we do.

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  • Chromatin containing acetylated histones is open and accessible to transcription factors, and the genes are potentially active.

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  • These different forms involve different linker histones, modulation of core histone modification and the binding of remodeling factors.

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  • The risk assessment must take into account all factors that may influence the safe use of a hydraulic hoist.

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  • Thus these factors are likely to be centrally involved in the stem cell homing process, post transplantation, in the adult animal.

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  • Geological and climactic factors have combined over millions of years to create a hothouse of evolution, a seemingly endless parade of marine life.

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  • These factors drive in the neck auto insurance Springfield Illinois premiums for drivers.

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  • Design service illuminance is derived from the standard service illuminance by taking account of the modifying factors contained in the flow chart.

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  • As there are a number of factors which can cause impotence, there is no specific impotence cure but a number of effective treatments.

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  • These factors may actually increase the incidence of the problem in a highly inbred line.

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  • Patients who have had a myocardial infarct will benefit most from a reduction in coronary heart disease risk factors.

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  • Risk factors for the development of hyperkalaemia include renal insufficiency, potassium sparing diuretics and the concomitant use of agents to treat hypokalaemia.

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  • A very complex interplay of factors has to be taken into account in building such a concept.

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  • Absorption of non-haem iron is affected by various factors in food.

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  • This is thought to have the downstream effect of activating transcription factors such as nuclear factor kappa B (NFkB ).

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  • Moreover, the activity of these transcription factors is regulated by mitogen-activated protein kinase (MAPK) pathways.

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  • Also factors which determine the kinetics of drug action are studied.

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  • Analysis of 2 mesoscale data sets showed that krill, rather than food or environmental factors, were most strongly implicated in copepod distribution.

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  • These factors strengthened the princes, who no longer faced a challenge to their position as great feudal landowners.

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  • It comes in many forms, prompted by various factors, not least fatigue.

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  • It is generally accepted that the nature of the T cell response is one of the crucial factors controlling experimental and human leishmaniasis.

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  • This was then normalized to a value per passenger carried, based on maximum and average load factors.

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  • How We Can help This factsheet has concentrated on potentially long-term tax factors to bear in mind.

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  • This review examines the roles of the major fibrinolytic factors involved in clot lysis.

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  • All these factors have undermined food crop yields, leaving the local communities malnourished.

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  • Details of article Assessing what factors affect marmosets breeding success by Sharyn Amos.

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  • Without complicating matters at all, it boils down to a couple of basic factors.

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  • Follicular factors affecting oocyte maturation and development competence 20.

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  • The sample in factors affected Medicaid above is the.

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  • Team as well factors may also medical insurance Florida Claims Management coding also allows for the new tables.

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  • An example of (2) would be a study of risk factors for uveal melanoma, or corneal ulcers.

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  • In the present study of commercially farmed mink, all of these factors have been integrated in one housing system.

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  • Together with patient history and potential underlying co morbidity factors this may lead to a provisional diagnosis of PG.

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  • Changes in a number of other factors can also influence island morphology (Figure 1 ).

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  • Factors of interest Unilateral spatial neglect is a commonly occurring disorder following stroke.

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  • What are the risk factors for developing post herpetic neuralgia?

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  • The central factors are related to the status of the motor neuron.

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  • 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.

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  • It's about a whole nexus of social, scientific and economic factors.

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  • Also included are expression data relating to the efficiency of splicing relative to other processes in strains of yeast lacking nonessential splicing factors.

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  • It's the most obvious kind of common sense to attempt to rein in the factors which are making us an increasingly obese nation.

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  • Among other things, changes of gene dosage and/or oncogene activation are mentioned as factors possibly influencing the characteristics of this non-random pattern.

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  • The buyer must place the onus for these crucial factors with the seller.

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  • But other factors mean that they give more oomph in relation to their clock speed.

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  • The decision to offer injectable opiates must take all factors into account for each patient.

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  • These factors have caused significant overcapacity in the United Kingdom and in Western Europe generally.

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  • The revised IPCC Guidelines document [25] was used to give a range of emission factors for nitrous oxide.

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  • Research topics include pathogenesis, virulence factors, immune mechanisms, genetic studies and viruses, prokaryotic organisms, and protozoa.

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  • In evaluating barriers and enablers, we note the paucity of research about how these factors interact.

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  • At first glance such factors make for a gloomy prognosis Yet there are still plenty of reasons to be cheerful.

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  • Here you must explain ALL the factors that caused the 1995 quake to happen.

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  • Reassess risk factors for serious pathology (see red flags ). Reassess presence of nerve root pain.

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  • That a criminal was reared among male factors mitigates his fault in our eyes.

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  • 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.

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  • 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.

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  • 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 .

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  • 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),...

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  • 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.

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  • 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.

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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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  • It is on a consideration of these factors of t that Cayley bases his solution of the quartic equation.

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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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  • 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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  • 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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  • 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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  • 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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  • 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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  • 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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  • Another kind of sequence is that which is formed by introducing the successive factors of a continued product; e.g.

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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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  • 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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  • 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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  • 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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  • 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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  • 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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  • 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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  • 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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  • 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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  • The resolution of a number into factors of the above form is easily performed.

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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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  • 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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  • 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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  • 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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  • 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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  • 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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  • 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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  • 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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  • A better understanding of the factors that underlie variable penetrance in mutation carriers is needed to augment our ability to counsel individual women.

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  • People with AF over 65, or younger people with AF over 65, or younger people with certain ' risk factors ', have a medium risk.

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  • There are three main factors affecting the number of calculations performed in the Decoder.

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  • These important factors combine to generate a permutation of approximately a million different profiles.

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  • Taken together, these factors have given rise to the conce pt of wide bandwidth fetal phonography.

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  • Interactions between microorganisms and physicochemical factors cause mic of steel pilings in harbors.

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  • Global shifts in transcription pattern due to binding of alternative sigma factors to the core polymerase.

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  • In both cases, we need extensive experimental studies seeking to identify all long-lived polymorphs in order to understand the kinetic factors involved.

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  • Hence, we need to rationalize the kinetic factors that can lead to the observation of metastable polymorphs.

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  • Other factors are the wrist posture and shape while working, table height, the angle of the elbows, and repetitive motion.

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  • Many of these factors seem to be especially potent in small children.

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  • The aging process and hereditary predisposition are risk factors that cannot be altered.

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  • He is fairly prescriptive in his advice in situations where the " right " answer may really depend on balancing a number of factors.

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  • Others factors create pressure gradients that cause water to try to flow from high pressure to low pressure.

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  • A talk which looks at population dynamics, predator prey relationships and factors (biotic and abiotic) affecting animal populations.

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  • These factors would clearly put off the usual ' young prof ' flat buyers.

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  • Factors that affect the ability of woods to naturally regenerate are a cause of concern for the long term.

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  • To our detractors let us simply reiterate a number of factors.

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  • The relationship between psychological factors, paranormal belief, and personal religiosity will also be investigated.

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  • Chapters on HIV-1 replication and the factors that determine cell tropism are included.

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  • It requires both factors in order to be truly representational.

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  • Four factors are key to explaining this surprisingly resilient recovery.

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  • Name 3 PULL factors 4. What do we mean by the term ' managed retreat '?

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  • All of these factors were a great attraction to the Han Chinese who were good at cultivating paddy rice.

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  • In discussing the question of the historiography of contemporary art, two factors seem particularly salient.

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  • This work includes evaluations of foods for their effects on satiety, and studies to increase our understanding of the factors that control satiety.

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  • She took me on a guided tour of gobbledygook which included critical success factors, traffic lights, milestones and a balanced score card.

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  • What factors influence the development of a person's self-concept?

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  • All will depend upon the intensity of review; and the factors which presently point toward ` judicial self-restraint ' continue to remain valid.

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  • Factors such as track record, client base, expertise, unique selling points and media appeal should all be taken into consideration.

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  • Factors that affect the airways and cause bad breath sinusitis.

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  • There are probably many subtle factors to consider beyond sheer size, including neurotransmission and the number of synapses per neuron.

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  • After that the rates skyrocket (think factors of 2 ).

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  • To introduce photo-chemical smog, and the four factors necessary for its formation.

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  • The present social structures tend to reinforce those factors that divide society.

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  • Such factors might include the age at which a patient first develops symptoms and whether the patient had a splenectomy.

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  • Thus job insecurity, job loss and job changes would be contributory factors in increasing workplace stress in employees.

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  • These washes are affected by three factors, presence of formamide (higher% increases stringency ), salt conc.

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  • The critical angles between the blocks subspace and the treatments subspace of the data space give the canonical efficiency factors.

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  • Study 2 - Risk factors for parents ' attempted suicide.

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  • Sunscreen sun protection factors (SPF) are measured by timing how long skin covered with sunscreen sun protection factors (SPF) are measured by timing how long skin covered with sunscreen takes to burn compared to uncovered skin.

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  • Others are studying genetic factors to determine whether some people are genetically susceptible to developing PD.

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  • The problem with warfarin is that it is a drug that prevents blood from clotting by inhibiting the synthesis of clotting factors.

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  • The argument that the polls show a likely democratic takeover is somewhat undermined by these factors.

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  • How often a septic tank needs to be emptied depends upon a number of factors.

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  • Section 3 presents the factors which appear to facilitate multidisciplinary teamwork.

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  • All of these factors can result in frayed tempers from time to time.

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  • A prosecution will usually take place unless " there are public interest factors tending against prosecution which clearly outweigh those tending in favor " .

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  • The strain tensor is a field tensor -- it depends on external factors.

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  • Task in itself factors associated with an extremely thorny.

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  • The seizure threshold may be lowered by external factors.

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  • The anti-coagulant heparin activates the inhibitor antithrombin III, which deactivates several of the plasma clotting factors, including thrombin III, which deactivates several of the plasma clotting factors, including thrombin.

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  • Risk factors Being female - women are 10 times more likely to develop an overactive thyroid than men.

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  • Hence there was an inevitable trade-off between these two factors in choosing our study reef.

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  • Factors such as work experience or vocational training can also be taken into account when considering an entry application.

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  • A number of stable factors can be identified which facilitate a statistically valid transfer of estimated WTP functions over time.

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  • A high carbohydrate intake, particularly from sugar or alcohol, as well as other factors, can raise triglycerides.

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  • Likewise, Calleman believes that the 360-day tun is the key to Mayan sacred time, even tho it factors into 12 x 30.

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  • High staff turnover can be the result of many factors.

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  • Many actually underachieve as their potential is masked by factors such as frustration, low self-esteem or lack of challenge.

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  • This method of interpreting canonical variates is identical to the manner in which factors are interpreted in factor analysis.

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  • Definitive initial treatment depends on a number of factors but includes melphalan, infusional chemotherapy including vincristine and adriamycin plus high dose steroids.

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  • For a game to go truly viral, youâre reliant on two factors, reckons Oli Christie, creative director of Inbox Digital.

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  • Mildew of barley virulence factors corresponding to resistance factors in current barley cultivars were recorded at high levels similar to previous years.

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  • At baseline, plasma and blood viscosity were related to risk factors, CHD measures, and claudication.

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  • What are the factors which help explain the demise and gradual disappearance of the outlaw and the rise and continued vitality of the gangster?

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  • Crown fractures were identified as significant risk factors for pulp vitality.

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  • Factors associated with mortality and morbidity in small intestinal volvulus in the horse.

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  • The degree and rate of rock weathering depends on several factors.

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  • He studies the fishing ground and all other factors likely to enhance his chances of ` landing the whopper ' .

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  • We have cloned two cDNAs which encode the only members of the Myb class of transcription factors found in differentiating pine xylem.

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  • Both viruses contain genes encoding proteins related to the basic leucine zipper (bZIP) family of transcription factors.

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  • Factors influencing the spatial distribution of crustacean zooplankton and pelagic fish in Windermere.

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  • All this is true, but three readings instead of one for each pointing, much more figure-work in computation (especially if corrections have to be applied to the scale readings to reduce them to exact normal screw readings), are factors which involve a far greater expenditure of time than making a few additional turns of a screw in the process of measurement.

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  • The fact, however, appears to be that the prominence given to the heart in popular beliefs dates from the time when in the course of the development of anatomical knowledge the important function of the heart in animal life came to be recognized, whereas the supposition that the liver is the seat of vitality rests upon other factors than anatomical knowledge, and, being independent of such knowledge, also antedates it.

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  • The height or length of the arm of a human being, for instance, is the result of many factors, some inherent, some due to environment, and until these have been sifted out, numerical laws of inheritance or of correlation can have no more than an empirical value.

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  • Wallace's studies of island life, and the work of many different observers on local races of animals and plants, marine, fluviatile and terrestrial, have brought about a conception of segregation as apart from differences of environment as being one of the factors in the differentiation of living forms.

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  • We have in them evidence of two factors, a perception of some features of the environment and following this, after a longer or shorter interval, a response calculated to secure some advantage to the responding organ.

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  • In the first place, the so-called internal causes of disease is probably a mere phrase covering our ignorance of the factors at work, and although a certain convenience attaches to the distinction between those cases where tender breeds of plants apparently exhibit internal predisposition to suffer more readily than others from parasites, low temperatures, excessive growth, &c.as is the case with some grafted plants, cultivated hybrids, &c.the mystery involved in the phrase internal causes only exists until we find what action of the living or nonliving environment of the essential mechanism of the plant has upset its equilibrium.

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  • Tue HabitatThe term habitat, in its widest sense, includes all the factors of the environment which affect a plant or a plant community, though the term is frequently used to signify only some of these factors.

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  • Summary.The general theory of differentiation propounded in this article is an attempt at an analysis of the factors termed by Darwin the nature of the organism and the nature of the conditions.