Relative sentence example

relative
  • Only their relative wealth is different.

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  • Xander remained upstairs, letting her handle the set-up in relative peace.

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  • The relative strength of bodies of troops can never be known to anyone.

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  • It is an interesting question how far men would retain their relative rank if they were divested of their clothes.

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  • Observations on the Sonnblick agree with those at low-level stations in showing a diminution of dissipation with increase of relative humidity.

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  • My relative definition of poverty is "the state of being unable to reliably purchase a bundle of goods that allow one to participate in the economic norms of one's society."

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  • Howie is a mess over what that relative told him about his sister.

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  • She ate a chicken salad in relative peace at the mall's food court.

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  • She had nothing to fear from these people, especially not Mansr, a blood relative of A'Ran and his sisters.

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  • If a second poll is necessary a relative majority is sufficient.

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  • She dropped down to the relative safety of a chair and smiled up at him sweetly.

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  • The number of thunderstorm days is probably a less exact measure of the relative intensity of thunderstorms than statistics as to the number of persons killed annually by lightning per million of the population.

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  • It is a relative necessity.

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  • But the relative definition certainly kicks in here.

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  • She was slower than he expected her to be in identifying them by their relative weight and size.

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  • She keeps the relative position of the keys by an occasional touch of the little finger on the outer edge of the board.

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  • Among these was the governor's wife herself, who welcomed Rostov as a near relative and called him "Nicholas."

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  • He suspected the Council members knew more and that this night of relative peace was the last he would know for a very long time.

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  • They made civilization in times of adversity and want, not in the relative luxury and stability we enjoy today.

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  • Seems she and her sister have been chasing after this long lost relative for years.

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  • She then turned to her son as if to apologize for allowing this relative stranger to kiss her.

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  • In the treatment of the relative motions of a limited system, we may use a confessedly provisional base, though it may be necessary to introduce corrections, either exact or approximate, to take account either of the existence of bodies outside the system, or of the rotation of the base employed relative to a more correct one.

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  • Dust particles interfere with conduction near the ground, so the relative conductivity in the upper layers may be much greater than that calculated.

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  • Burbot, a freshwater relative of cod, are also eligible for spear fishing in certain regions of the province.

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  • The position of the main buildings - ticket offices, waiting and refreshment-rooms, parcels offices, &c. - relative to the direction of the lines of rails may be used as a means of classifying terminal stations.

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  • Holden developed the use of liquid fuel on the Great Eastern railway to a point beyond the experimental stage, and used it instead of coal with the engines running the heavy express traffic of the line, its continued use depending merely upon the relative market price of coal and oil.

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  • The government was administered under this treaty, but with considerable friction, until the end of 1898, when, upon the death of Malietoa, two rival candidates for the throne again appeared, and the chief justice selected by the three powers decided against the claims of Mataafa, and in favour of a boy, Malietoa Tanu, a relative of the deceased Malietoa.

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  • He constructed a map of as many as 576 of these lines, the principal of which he denoted by the letters of the alphabet from A to G; and by ascertaining their refractive indices he determined that their relative positions are constant, whether in spectra produced by the direct rays of the sun, or by the reflected light of the moon and planets.

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  • The relative weights of the sources have been more nicely determined by critical investigation.

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  • But since the elements cannot be converted one into the other, we are absolutely without knowledge of the relative values of their intrinsic energy.

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  • The varied narratives, now due to Judaean editors, preserve distinct points of view, and it is extremely difficult to unravel the threads and to determine their relative position in the history.

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  • The scantiness of political information and the distinctive arrangement of material preclude the attempt to trace the relative position of the two rivals.

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  • Nomadic life is recognized by Arabian writers themselves as possessing a relative superiority, and its characteristic purity of manner and its reaction against corruption and luxury are not incompatible with a warlike spirit.

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  • When 14 years old he ran away from a relative's farm in Oregon and went to Portland where he worked in a realestate office.

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  • The greatest relative advance between 1889 and 1899 in any branch of agriculture was made in the growth of market-garden produce and small fruits; for old pine lands, formerly considered useless, had been found valuable for the purpose.

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  • Under the present constitution they are "fully emancipated from all disability on account of coverture," and are placed on an equality with their husbands in acquiring and disposing of property and in making contracts relative thereto.

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  • This arrangement may be understood by reference to the following diagram, representing the relative position of the stamens in orchids generally and in Cypripedium.

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  • The number of families relative to the area is very small, and the number of genera and species equally restricted, in very many cases a single species being the only representative of an order.

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  • The vegetation of the dry region of central Asia is remarkable for the great relative number of Chenopodiaceae, Salicornia and other Central salt plants being common; Polygonaceae also are abun Asia.

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  • It is remarkable that though the Jews live in relative peace with Asiatics, the great majority of them prefer Europe as a residence.

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  • The competition thus constitutes what is termed a " block test," and it is instructive in affording the opportunity of seeing the quality of the carcases furnished by the several animals, and in particular the relative proportion and distribution of fat and lean meat.

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  • The conception of the standard of life involves also some estimate of the efforts and sacrifices people are prepared to make to obtain it; of their ideals and character; of the relative strength of the different motives which usually determine their conduct.

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  • How shall we determine the relative weight and importance of different kinds of relevant evidence?

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  • The end, however, is only relative, for spirits are continually falling, and God remains through eternity the creator of the world.

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  • They accordingly resolved not to give up Malta unless Lord Whitworth, the British ambassador at Paris, "received a satisfactory explanation" relative to the Sebastiani report.

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  • In the relative development and shape of the various segments of the leg there is almost endless variety, dependent on the order to which the insect belongs, and the special function - walking, running, climbing, digging or swimming - for which the limb is adapted.

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  • The remaining six, when, where, action, passion, position and habit, are relative and subordinate (formae assistentes).

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  • The development of tracery was hindered both by the material and by the relative insignificance of the windows.

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  • The amount and quality of the repairs necessary to fulfil the covenant are always relative to the age, class and condition of the premises at the time of the lease.

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  • Generally, while there is a relative poverty of zoological groups, there is a great wealth of species within the group. Of gammarids, there are as many as 300 species, and those living at great depths (33 o to 380 fathoms) tend to assume abyssal characters similar to those displayed by the deep-sea fauna of the ocean.

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  • There are conflicting accounts of the plots and counterplots and of the court intrigues, the relative truth of which will probably never be known.

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  • The yield of petroleum wells varies within very wide limits, and the relative importance of the different producing districts is also Yield of constantly changing.

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  • It is also necessary to notice that shunt instruments cannot be used for high frequencies, as then the relative inductance of the shunt and wire becomes important and affects the ratio in which the current is divided, whereas for low frequency currents the inductance is unimportant.

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  • The processes of soap manufacture may be classified (a) according to the temperatures employed into (I) cold processes and (2) boiling processes, or (b) according to the nature of the starting material - acid or oil and fat - and the relative amount of alkali, into (1) direct saturation of the fatty acid with alkali, (2) treating the fat with a definite amount of alkali with no removal of unused lye, (3) treating the fat with an indefinite amount of alkali, also with no separation of unused lye, (4) treating the fat with an indefinite amount of alkali with separation of waste lye.

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  • At the same time the relative proximity of three natural harbours, Peiraeus, Zea and Munychia, favoured the development of maritime commerce and of the sea power which formed the basis of Athenian hegemony.

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  • In place of the relative molecular weights, attention was concentrated on relative atomic or equivalent weights.

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  • Hassenfratz and Adet, who assigned to each element a symbol, and to each compound a sign which should record the elements present and their relative quantities.

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  • The theory of valency as a means of showing similarity of properties and relative composition became a dominant feature of chemical theory, the older hypotheses of types, radicals, &c.

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  • One other instance may be given; the equation 2NH3=N2+3H2 represents the decomposition of ammonia gas into nitrogen and hydrogen gases by the electric spark, and it not only conveys the information that a certain relative weight of ammonia, consisting of certain relative weights of hydrogen and nitrogen, is broken up into certain relative weights of hydrogen and nitrogen, but also that the nitrogen will be contained in half the space which contained the ammonia, and that the volume of the hydrogen will be one and a half times as great as that of the original ammonia, so that in the decomposition of ammonia the volume becomes doubled.

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  • The combination, as it is ordinarily termed, of chlorine with hydrogen, and the displacement of iodine in potassium iodide by the action of chlorine, may be cited as examples; if these reactions are represented, as such reactions very commonly are, by equations which merely express the relative weights of the bodies which enter into reaction, and of the products, thus Cl = HC1 Hydrogen.

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  • Orientation of Substituent Groups.-The determination of the relative positions of the substituents in a benzene derivative constitutes an important factor in the general investigation of such compounds.

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  • Also the relative position of the auxochrome to the chromophore influences colour, the ortho-position being generally the most powerful.

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  • It is doubtful indeed whether any general conclusions can yet be drawn as to the relations between crystal structure and scalar properties and the relative stability of polymorphs.

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  • The measure of the loss of symmetry associated with the introduction of alkyl groups depends upon the relative magnitudes of the substituent group and the rest of the molecule; and the larger the molecule, the less would be the morphotropic effect of any particular substituent.

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  • Parallels and meridians were represented by straight lines intersecting each other at right angles, the relative proportions between degrees of longitude and latitude being retained only along the parallel of Rhodes.

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  • But in the meantime much might be done towards further mitigating the evils of slavery, especially by impressing on master and slave their relative duties and controlling their behaviour towards one another by the exercise of an independent moral authority.

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  • Only a fourth to a half of the days of the different months are wholly or partly clear even in the north, and in the same district the monthly means of relative humidity vary from 65 to 70.

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  • Perhaps no battle better exemplifies the inherent strength of the emperor's strategy, and in none was his grasp of the battlefield more brilliantly displayed, for, as he fully recognized, " These Prussians have at last learnt something - they are no longer the wooden toys of Frederick the Great," and, on the other hand, the relative inferiority of his own men as compared with his veterans of Austerlitz called for far more individual effort than on any previous day.

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  • This view claims to determine the respective ages and relative chronological position of the various passages in which the Passover is referred to in the Pentateuch, and assumes that each successive stratum represents the practice in ancient Israel at the time of composition, laying great stress upon omissions as implying non-existence.

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  • There are therefore maxima and minima in the value of the tide-generating force, depending on the relative positions of the sun, earth and moon.

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  • Now this ratio is the same as that which gives the relative chemical equivalents of hydrogen and copper, for r gramme of hydrogen and 31.8 grammes of copper unite chemically with the same weight of any acid radicle such as chlorine or the sulphuric group, SO 4.

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  • The affinities of acids relative to that of oxalic acid are thus found, so that the acids can be compared among themselves (column II.).

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  • Its inland situation gave it relative security against the pirates who then infested West Indian seas, and the misfortunes of Santiago were the fortunes of Bayamo.

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  • The heat is then raised in (relative) absence of air, when the two elements named unite into sulphur-dioxide, while a regulus of molten lead remains.

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  • The third method is through the determination of the mass of the earth relative to that of the sun.

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  • In the preceding century reliance was placed entirely on the observed moments at which Venus entered upon or left the limb of the sun, but in 1874 it was possible to determine the relative positions of Venus and the sun during the whole course of the transit.

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  • Laplace owned that he had despaired of effecting the integration of the differential equations relative to secular inequalities until Lagrange showed him the way.

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  • Of foxes certainly distinct specifically from the typical representative of the group, one of the best known is the Indian Vulpes bengalensis, a species much inferior in point of size to its European relative, and lacking the strong odour of the latter, from which it is also distinguished by the black tip to the tail and the pale-coloured backs of the ears.

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  • It was held that although generally speaking every sovereign may decide to whom he will accord the right to fly his flag, yet in this case such right was limited by the general act of the Brussels conference of July 1890 relative to the African slave trade, an act which was ratified by France on the 2nd of June 1892; that accordingly the owners and master of dhows who had been authorized by France to fly the French flag before the last-named date retained this authorization TABLE II.

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  • The chamber has the right of initiative in the organization of the annual budget laws and those relative to the numerical strength of the army and navy.

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  • This was the beginning of a determined struggle for supremacy, carried on for many years, between the different classes of citizens, locally termed ordini or monti - the lower classes striving to grasp the reins of government, the higher classes already in office striving to keep all power in their own hands, or to divide it in proportion to the relative strength of each monte.

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  • His relative, noting the lad's passionate addiction to study, solemnly warned him, against indulging such a taste, as likely to prove a fatal obstacle to his success in commercial life.

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  • This massive swelling is cut into, between the Ektagh Altai and the eastern T`ien-shan, by the relative depression of Tarbagatai and Dzungaria, 1500 to 3000 ft.

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  • A relative scarcity in running waters prevails in the whole region between the Danube and the Drave.

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  • On the 12th Mr de Justh resigned the presidency of the Lower House and sought re-election, so as to test the relative strength of parties.

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  • In particular, the equality or inequality of values of two functions is more readily grasped by comparison of the lengths of the ordinates of the graphs than by inspection of the relative positions of their bounding lines.

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  • The extreme discrepancy is that between the waves which travel through the outermost parts of the object-glass at L and L'; so that if we adopt the above standard of resolution, the question is where must P be situated in order that the relative retardation of the rays PL and PL' may on their arrival at B amount to a wave-length (X).

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  • In considering the relative brightnesses of the different spectra, it is therefore sufficient to attend merely to the principal directions, provided that the whole deviation be not so great that its cosine differs considerably from unity.

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  • Then the relative retardation of the extreme rays (corresponding to the edges A, B of the grating) is mnX.

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  • If BQ be the direction for the first minimum (the darkness between the central and first lateral band), the relative retardation of the extreme rays is (mn+1)X.

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  • For the alteration of wave-length entails, at the two limits of a diffracted wave-front, a relative retardation equal to mndX.

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  • But a very slight relative displacement will cause the apparition of the odd spectra.

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  • For such standards a relative accuracy of at least one part in a million seems now to be attainable.

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  • The occurrence of sin 4 as a factor in (6) shows that the relative intensities of the primary light and of that diffracted in the direction B depend upon the condition of the former as regards polarization.

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  • In accordance with this we can give the relative positions of the various tribes, and an excursus on the rivers (47-57) lets us define their actual seats.

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  • His relative James Stanhope (afterwards first Earl Stanhope), the king's favourite minister, procured for him the place of gentleman of the bedchamber to the prince of Wales.

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  • The relative stability is then judged by the amount of nitrogen gas collected in a certain time.

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  • Charpentier in his Excellence de la langue francaise (1683) had anticipated Perrault in the famous academical dispute concerning the relative merit of the ancients and moderns.

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  • In this respect the greatest efforts have naturally been made by Hamburg; but Magdeburg, Dresden, Meissen, Riesa, Tetschen, Aussig and other places have all done their relative shares, Magdeburg, for instance, providing a commercial harbour and a winter harbour.

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  • To heredity, as an indirect or predisposing cause, has probably been assigned too great importance, and the many facts brought forward of the relative frequency of cancer in members of one family only justify the conclusion that the tissue-resistance of certain families is lowered.

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  • He has been said to be a French Cowper, and the parallel holds good in respect of versification and of his relative position to the more daringly innovating school that followed, though not in respect of individual peculiarities.

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  • To James Matthews Duncan (1826-1890) we chiefly owe a saner and broader comprehension of the relative importance of the local and the general conditions which enter into the causation of uterine and ovarian disorders.

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  • It is necessary to remember that London is older than these counties, whose names, Middlesex and Surrey, indicate their relative positions to the city and the surrounding county.

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  • During the reign of his successor the great change in the relative positions of London within and without the walls had set in.

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  • With regard to the relative size of great cities Petty affirms that before the Restoration the people of Paris were more in number than those of London and Dublin, whereas in 1687 the people of London were more than those of Paris and Rome or of Paris and Rouen.

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  • Usibepu, having created a formidable force of well-armed and trained warriors, and being left in independence on the borders of Cetywayo's territory, viewed with displeasure the re-installation of his former king, and Cetywayo was desirous of humbling his relative.

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  • The shape of the hills and ridges is necessarily influenced by the inclination of the strata, by the relative hardness of different rock-beds, and by the presence of folds and fissures and other lines of weakness.

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  • He also attended lectures in theology, but, a relative having persuaded him to change his subject, he studied medicine for two years.

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  • Fraunhofer further initiated the specification of refraction and dispersion in terms of certain lines of the spectrum, and even attempted an investigation of the effect of chemical composition on the relative dispersion produced by glasses in different parts of the spectrum.

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  • The Seljuk invasion of Armenia was followed by an exodus of Armenians southwards, and in 1080 Rhupen, a relative of the last king of Ani, founded in the heart of the Cilician Taurus a small principality, which gradually expanded into the kingdom of Lesser Armenia.

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  • The liquid metals, when cooled down sufficiently, some at lower, others at higher, temperatures freeze into compact solids, endowed with the (relative) non-transparency and the lustre of their liquids.

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  • The following table gives the electric conductivities of a number of metals as determined by Matthiesen, and the relative internal thermal conductivities of (nominally) the same metals as determined by Wiedemann and Franz, with rods about 5 mm.

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  • While with the court at the Hague, he incurred the displeasure of William by insisting that a promise of marriage, made to an English lady of high birth by a relative of the prince, should be kept; and he therefore gladly returned to England in 1680, when he was immediately appointed.

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  • Hawkins, his relative and executor, in 1721; his prose ' The fact, however, that in 1712 - only a year after Ken's death - his publisher, Brome, published the hymn with the opening words "All praise," has been deemed by such a high authority as the 1st earl of Selborne sufficient evidence that the alteration had Ken's authority.

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  • Uniplanar Motion of a Liquid due to the Passage of a Cylinder through it.-A stream-function 4, must be determined to satisfy the conditions v24 =o, throughout the liquid; (I) I =constant, over any fixed boundary; (2) d,t/ds = normal velocity reversed over a solid boundary, (3) so that, if the solid is moving with velocity U in the direction Ox, d4y1ds=-Udy/ds, or 0 +Uy =constant over the moving cylinder; and 4,+Uy=41' is the stream function of the relative motion of the liquid past the cylinder, and similarly 4,-Vx for the component velocity V along Oy; and generally 1,1'= +Uy -Vx (4) is the relative stream-function, constant over a solid boundary moving with components U and V of velocity.

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  • If the liquid is stirred up by the rotation R of a cylindrical body, d4lds = normal velocity reversed dy = - Rx- Ry ds (5) ds 4' + 2 R (x2 + y2) = Y, (6) a constant over the boundary; and 4,' is the current-function of the relative motion past the cylinder, but now V 2 4,'+2R =o, (7) throughout the liquid.

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  • A relative stream line, along which 1/,' = Uc, is the quartic curve y-c=?![2a(r-x)], x = 4a2y2-(y g)4, r- 4a2y2 +(y c) 4, 7) 4 a (y-c) 4a(y and in the absolute space curve given by 1', dy= (y- c)2, x= 2ac_ 2a log (y -c) (8) 2ay y - c 34.

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  • For instance, with n = I in equation (9), the relative stream function is obtained for a sphere of radius a, by making it, y' =1y+2Uy 2 = 2U(r 2 -a 3 /r) sin?

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  • The components of velocity of the moving origin are denoted by U, V, W, and the components of angular velocity of the frame of reference by P, Q, R; and then if u, v, w denote the components of fluid velocity in space, and u', v', w' the components relative to the axes at a point (x, y, z) fixed to the frame of reference, we have u =U +u' - yR +zQ, v =V +v -zP +xR, w=W +w -xQ +yP.

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  • The fact warns us against drawing hasty inductions as to relative dates from style and execution.

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  • It springs from the same school of thought as the Apocalypse of Baruch, and its affinities with the latter are so numerous and profound that scholars have not yet come to any consensus as to the relative priority of either.

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  • The relative inferiority of the wines made at the Cape of Good Hope and in Australia is partly due to variations of climate, the vine not yet having adapted itself to the new conditions, - and partly to the deficient skill of the manufacturers.

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  • Truth varies infinitely under circumstances whose relative weight cannot be accurately gauged.

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  • In the mechanical analysis of the soil, after separation of the stones and fine gravel by means of sieves, the remainder of the finer earth is subjected to various processes of sifting and deposition from water with a view of determining the relative proportions of sand, silt and clay present in it.

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  • If the political results of the mission were nil, the value to geographical science was immense; for though no geographer himself, Sadlier's route across Arabia made it possible for the first time to locate the principal places in something like their proper relative positions; incidentally, too, it showed the practicability of a considerable body of regular troops crossing the deserts of Nejd even in the months of July and August.

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  • A just estimate of the relative value of the historians can only be reached by careful comparison in detail.

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  • The relative weakness of territorial power in the North, after the fall of Henry the Lion of Saxony, diminished without however removing this motive for union, but the comparative immunity from princely aggression on land left the towns freer to combine in a stronger and more permanent union for the defence of their commerce by sea and for the control of the Baltic.

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  • The mutual action of electrified bodies, for example, is affected by their relative or absolute motion.

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  • His relative, Louis Victor Henri, marquis de Montmorin de Saint Herem, head of the elder branch, also perished in the massacre.

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  • Besides the poems, we have also two prose Perceval romances, the relative position of which has not yet been satisfactorily determined.

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  • They worked, too, with a skill little inferior to that of the GotOs, Naras, and other aristocratic sculptors of sword ornaments, and often with a refinement which their relative disadvantages in education and associations render especially remarkable.

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  • When this building of railways began in Japan, much discussion was taking place in England and India as to the relative advantages of the wide and narrow gauges, and so strongly did the arguments in favor of the latter appeal to the English advisers of the Japanese government that the metre gauge was chosen.

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  • Of these 71,512 were in Coburg and 170,920 in Gotha; the relative density in either duchy being about equal.

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  • It was Napoleon, and he alone, who created this whole state in 1803 to reward in the person of the little margrave of Baden a relative of the emperor of Russia.

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  • Complete adaptation to an infinitely receding ideal is impossible, and relative adaptation depends on the distance between the actual and the ideal.

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  • Spencer, however, considers that he can not only anticipate such a state of complete adjustment, but even lay down the rules obtaining in it, which will constitute the code of "Absolute Ethics" and the standard for discerning the "least wrong" actions of relative ethics.

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  • The enlargement of the horizon of knowledge by the advance of science, the recognition of the only relative validity of human opinions and beliefs as determined by and adapted to each stage of human development, which is due to the growing historical sense, the alteration of view regarding the nature of inspiration, and the purpose of the Holy Scriptures, the revolt against all ecclesiastical authority, and the acceptance of reason and conscience as alone authoritative, the growth of the spirit of Christian charity, the clamorous demand of the social problem for immediate attention, all combine in making the Christian churches less anxious about the danger, and less zealous in the discovery and condemnation of heresy.

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  • The toxicity or relative strength of the cobra venom has been calculated to be sixteen times that of the European viper.

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  • We arbitrarily call the potential of the earth zero, since all potential difference is relative and there is no absolute potential any more than absolute level.

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  • Such a measurement may be an absolute determination or a relative one.

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  • On the other hand there are numerous methods by which the capacities of condensers may be compared and a relative measurement made in terms of some standard.

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  • A relative at Magdeburg put him to school there (1539-1542).

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  • Not only is vein-material formerly regarded as unremunerative now extracted at a profit, but in many instances increased gold-values have been encountered below zones of relative barrenness, and operators have been encouraged to make costly preparations for really deep mining - more than 3000 ft.

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  • The Bourbon kings espoused their relative's quarrel, seized Avignon, Benevento and Ponte Corvo, and united in a peremptory demand for the suppression of the Jesuits (January 1769).

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  • The Sultan placed his troops under the veteran Mustapha, and his galleys under his youthful relative Piali, he hesitated to make either supreme and ordered them to await the arrival of Dragut with his Algerian allies, before deciding on their final plans.

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  • The army merely swung backwards, pivoting on its left wing, the corps preserving their relative order as it had been on the 16th, with the exception that the Imperial Guard was withdrawn to the spur on which Fort Plappeville stands, and the 6th Corps (Marshal Canrobert) crossed the line of march of the 3rd and 4th Corps in order to gain St Privat la Montagne.

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  • Probably no writer ever possessed a juster view of the relative importance of men and things.

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  • His labours in the decline of life were chiefly directed to the doctrine of probabilities in reference to practical purposes, and in particular to economical subjects, as, for example, to inoculation, and to the duration of married life in the two sexes, as well as to the relative proportion of male and female births.

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  • It was indeed under the princes of the house of Timur that most of the noble buildings were erected, of which the remains still excite our admiration at Herat, while all the great historical works relative to Asia, such as the Rozetes-Sefa, the Habib-es-seir, Hafiz Abru's Tarikh, the Mallet' a-esSa'adin, &c., date from the same place and the same age.

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  • In the numerical expression of absolute densities it is necessary to specify the units of mass and volume employed; while in the case of relative densities, it is only necessary to specify the standard substance, since the result is a mere number.

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  • Other standards of reference may be used in special connexions; for example, the Earth is the usual unit for expressing the relative density of the other members of the solar system.

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  • The relative densities of gases are usually expressed in terms of the standard gas under the same conditions.

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  • The density gives very important information as to the molecular weight, since by the law of Avogadro it is seen that the relative density is the ratio of the molecular weights of the experimental and standard gases.

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  • Thus if d be the relative density, then Iod represents the weight of a gallon in lb.

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  • The method of weighing equal volumes is particularly applicable to the determination of the relative densities of liquids.

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  • Calling the weight of the empty vessel w, when filled with the liquid W, and when filled with the standard substance W l, it is obvious that W - w, and W1 - w, are the weights of equal volumes of the liquid and standard, and hence the relative density is (W - w)/(Wi - w).

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  • The specific gravity bottle may be used to determine the relative density of a solid which is available in small fragments, and is insoluble in the standard liquid.

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  • It is readily seen that W+W i - W 2 is the weight of the liquid displaced by the solid, and therefore is the weight of an equal volume of liquid; hence the relative density is W/(W+Wi - W2).

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  • Hence W/(W - W,) is the relative density or specific gravity of the body.

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  • The principle is readily adapted to the determination of the relative densities of two liquids, for it is obvious that if W be the weight of a solid body in air, W, and W2 its weights when immersed in the liquids, then W - W, and W - W 2 are the weights of equal volumes of the liquids, and therefore the relative density is the quotient (W - W,)/(W - W2).

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  • If W be the weight of the experimental solid in air, w the weight of the sinker in water, and W, the weight of the solid plus sinker in water, then the relative density is given by W/(W+w - Wi).

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  • To determine the density of any liquid it is only necessary to suspend the plummet in the liquid, and to bring the beam to its normal position by means of the riders; the relative density is read off directly from the riders.

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  • Whether Hadrian, the relative of Trajan (cousin's son), was actually adopted by him or not is impossible to determine; certainly Hadrian had not been advanced to any great honours by Trajan.

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  • These embassies were the school in which Machiavelli formed his political opinions, and gathered views regarding the state of Europe and the relative strength of nations.

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  • The development of manufacturing in Delaware has not been so extensive as its favourable situation relative to the other states, the facilities for water and railway transportation, and the proximity of the coal and iron fields of Pennsylvania, would seem to warrant.

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  • In this instrument a considerable linear relative movement of the divided lens corresponds with a comparatively small separation of the double image, so that simple verniers reading to 6 1 0 in.

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  • The disk, 30 with its small projecting handle enables the 2 segments of the divided object to be moved rapidly or with any required delicacy relative to each other.

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  • Nevertheless, the book exhibits a relative unity; for, whatever digressions occur in the development of its theme, the main object of the writer is never lost sight of.

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  • This relative unity is manifested also in the uniform character of the language, a uniformity, however, which is occasionally conspicuous by its absence in the case of independent sources, as in xi.

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  • The relative advantages of the different methods may be generally stated as follows.

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  • The two are carried on a common frame, so arranged that a change in form of the spring causes a relative displacement of the disk and roller, the point of contact moving radially from or towards the centre of the disk.

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  • On only one point, the position assigned in the Wissenschaftslehre to the absolute ego, is there any obscurity; but the relative passages are far from decisive, and from the early work, Neue Darstellung der Wissenchaftslehre, unquestionably to be ins uded in the Jena period, one can see that from the outset the doctrine of the absolute ego was held in a form differing only in statement from the later theory.

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  • Owing to the peaceful character of its acquisition and the relative strength of the Romance (French) element, Louisiana continued the use of the Civil Law.

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  • The fact that a solid body in its natural state is capable both of compression and of dilatation indicates that the molecules of the body must not be supposed to be fixed rigidly in position relative to one another; the further fact that a motion of either compression or of dilatation is opposed by forces which are brought into play in the interior of the solid suggests that the position of rest is one in which the molecules are in stable equilibrium under their mutual forces.

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  • For the rest, he purified the stage of much of its grossness, and introduced a relative correctness of costume and decoration unknown before.

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  • It was his plan to fill the more important offices with Republicans, as they had been excluded from appointive office during the Federalist ascendancy, and to divide the smaller places between the parties somewhat in accordance with their relative strength.'

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  • A nephew of Sir John Elland, in 1342, met death at the hands of a relative of the Beaumonts upon whom Sir John took vengeance, as also upon the heads of the allied houses of Lockwood and Quarmby.

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  • Lugard then endeavoured to settle some of the burning disputes relative to the division of lands and chiefships, &c., and to gain the confidence of both parties.

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  • According to the relative predominance of these two elements arose Gnosticism, the Patristic theology, and the philosophical schools of Neo-Pythagoreanism, Neo-Platonism and eclectic Platonism.

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  • He dealt with (a) human life as explained by the relative nature of Man and God, (b) the Divine nature and the existence of God, and, (c) the great Logos doctrine as the explanation of the relation between God and the material universe.

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  • Special interest attaches to the recent discovery in the cavern of Ultima Esperanza, South Patagonia, of remains of the genus Glossotherium, or Grypotherium, a near relative of Mylodon, but differing from it in having a bony arch connecting the nasal bones of the skull with the premaxillae; these include a considerable portion of the skin with the hair attached.

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  • In any attempt to determine the relative importance of Protestant and Catholic countries in promoting modern progress it must not be forgotten that religion is naturally conservative, and that its avowed business has never been to forward scientific research or political reform.

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  • A second rising was caused when, on the death of Ulrich II., count of Weimar and OrlamUnde, without issue in 1112, Henry seized these counties as vacant fiefs of the empire, while Lothair supported the claim of Siegfried, count of Ballenstadt, whose mother was a relative of Ulrich.

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  • This was possible in any complete sense only after the introspective movement represented by the middle ages had done its work, and the thought of the individual mind and will as possessed of relative independence had worked itself out into some degree of clearness.

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  • It is equally true that the will is relative to the world of objects and interests to which it is attached through instincts and feelings, habits and sentiments.

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  • Through a growing acquiescence in the operation of the local option law, the relative importance of the vote of the Prohibition Party has diminished.

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  • All laws relative to " towns " are applied to " cities " in so far as they are not inconsistent with general or special laws relative to the latter, and the powers of the selectmen are vested in the mayor and aldermen.

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  • The revocation of the charter aroused the strongest fears of the colonists Andros speedily met determined opposition by measures undertaken relative to taxation and land titles, by efforts to secure a church for Episcopal service, and an attempt to curb the town meetings.

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  • In every campaign in every colony save in 1779-80 her soldiery were in absolute, and still more in relative, number greater than those of any other colony.

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  • That only absolute, all else relative to it, representative of it, operative by it..

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  • Briefly, a dogma is what claims ultimate, not relative, truth.

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  • There is also little doubt that the names of the first six notes of the scale, ut, re, mi, fa, sol, la, still in use among Romance nations, were introduced by Guido, although he seems to have used them in a relative rather than in an absolute sense.

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  • It is probable that Herodotus shared his relative's political opinions, and either was exiled from Halicarnassus or quitted it voluntarily at the time of his execution.

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  • Like Aristotle, he insists that virtue, being relative, cannot be ascribed to God.

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  • His method of estimating the relative lunar and solar distances is geometrically correct, though the instrumental means at his command rendered his data erroneous.

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  • In the report of 1901 for England and Wales (p. 170) a table is given showing, for the three divisions of the United Kingdom, the relative number of persons speaking the ancient languages either exclusively or in addition to English.

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  • The law regulating the twelfth census deserves to rank with those of 1790, 1850 and 1879 as one of the four important laws relative to census work.

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  • That the area of a parallelogram is equal to the area of a rectangle on the same base and between the same parallels, or that the volume of a cone is one-third that of a cylinder on the same base and of the same height, may be established by a proof which is admitted to be rigorous, or be accepted in good faith without proof, and yet fail to be a matter of conviction, even though there may be a clear conception of the relative lengths of the diagonal and the side of a square or of the relative contents of two vessels of different shapes.

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  • It arises mainly in statistics, when the ordinate of the trapezette represents the relative frequency of occurrence of the magnitude represented by the abscissa x; the magnitude of the abscissa corresponding to the median ordinate is then the " median value of x."

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  • The folds, therefore, which are disposed for the purpose of making the grasp secure, vary with the relative lengths of the metacarpal bones, with the mutual relations of the sheaths of the tendons, and the edge of the palmar fascia, somewhat also with the insertion of the palmaris brevis muscle.

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  • The beam is released and in the course of a second or so takes up a certain position dependent on the relative weights of the coin and counterpoise.

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  • In virtue of this distinction which implied that the nation was not actually in covenant with God, he taught a relative toleration.

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  • The small pivoted iron needle ns placed in their common field therefore takes up a certain position, dependent on the relative value of these fields.

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  • He was educated at Toul, where he successively became canon and (1026) bishop; in the latter capacity he rendered important political services to his relative Conrad II., and afterwards to Henry III., and at the same time he became widely known as an earnest and reforming ecclesiastic by the zeal he showed in spreading the rule of the order of Cluny.

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  • The choice fell on James of Bourbon, a relative of the king of France, and the marriage took place in 1415.

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  • This attracted the attention of a distant relative named Johann Mathias Frankh, who was schoolmaster in the neighbouring town of Hainburg, and who, in 1738, took the child and for the next two years trained him as a chorister.

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  • He is keen, positive, logical, combining with curious dashes of scepticism many genuine moral convictions and a good knowledge of the various national religions and mythologies whose relative value he is able to appreciate.

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  • There is no " transverse " disturbance, that is, there is in air no motion across the line of propagation, for such motion could only be propagated from one layer to the next by the " viscous " resistance to relative motion, and would die away at a very short distance from the source.

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  • If the velocity of a particle at A relative to the undisturbed parts is u from left to right, the velocity of the matter moving out at A is U - u, and the momentum carried out by the moving matter is p(U - u) 2.

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  • The velocity of any part of a wave front relative to the ground will be the normal velocity of sound + the velocity of the wind at that point.

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  • If the two forks have the same frequency, it is easily seen that the figure will be an ellipse (including as limiting cases, depending on relative amplitude and phase, a circle and a straight line).

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  • At A, if the velocity of the disturbance relative to undisturbed parts of the rod is u from left to right, the velocity relative to A is U - u.

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  • Koenig, Quelques experiences d'acoustique (1882) describes apparatus and experiments, intended to show, in opposition to Helmholtz, that beats coalesce into tones, and also that the quality of a note is affected by alteration of phase of one of its component overtones relative to the phase of the fundamental.

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  • In January 1905, apart from Mishchenko's cavalry raid 'rear ' Russian Japanese Railways of Oyama's forces (January 8th-16th) the only change in the relative positions of Oyama and Kuropatkin as they stood after the battle of the Sha-ho was that the Japanese had extended somewhat westwards towards the Hun-ho.

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  • In 960 Otto gave to a trusted relative Hermann, afterwards called Billung, certain duties and privileges on the eastern frontier, and from time to time appointed him as his representative in Saxony.

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  • The relative antiquity of the earlier settlements of the Stone and Bronze ages is not capable of being deduced from existing evidence.

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  • This result must follow in any frame, the members of which are so connected that the joints offer little or no resistance to change in the relative angular position of the members.

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  • It keeps a register of British firms who may desire to receive confidential information relative to their respective trades and supplies that information free of charge.

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  • Both bodies of exposition represent the traditional principle at work in the sub-apostolic age, making for the preservation in relative purity, over against merely subjective interpretations - those of the Gnostics in particular - of the historic or original sense of Christ's teaching, just as Ignatius stood for the historicity of the facts of His earthly career in their plain, natural sense.

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  • There is a want of depth in Christian experience, in the power of realizing relative spiritual values in the light of the master principle involved in the distinctively Christian consciousness, such as could raise Clement above a verbal eclecticism, rather than comprehensiveness, in the use of Apostolic language.

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  • The work is divided into - (1) absolute geography, (2) relative geography and (3) comparative geography.

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  • The first investigates mathematical facts relating to the earth as a whole, its figure, dimensions, motions, their measurement, &c. The second part considers the earth as affected by the sun and stars, climates, seasons, the difference of apparent time at different places, variations in the length of the day, &c. The third part treats briefly of the actual divisions of_the surface of the earth, their relative positions, globe and map-construction, longitude, navigation, &c. Varenius, with the materials at his command, dealt with the subject in a truly philosophic spirit; and his work long held its position as the best treatise in existence on scientific and comparative geography.

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  • At the election of November 1868 Palmer was again returned for Richmond, and Gladstone offered him the office of lord chancellor or the office of a lord justice with a peerage; both offers were declined by Palmer, and he assumed a position of independent opposition to the measure relative to the Irish Church.

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  • With the respective and relative positions in the zodiac of the sun, moon and planets, the character of their action 1 Whitney, Notes to Surya-Siddhanta, p. zoo.

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  • In 1799 he proved that carbonate of copper, whether natural or artificial, always has the same composition, and later he showed that the two oxides of tin and the two sulphides of iron always contain the same relative weights of their components and that no intermediate indeterminate compounds exist.

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  • And as the relative altitudes of crest and pass remain approximately the same as in the Western Kuen-lun, it is evident how greatly the general elevation of the twin border ridge decreases towards the east.

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  • As, however, our terrestrial optical apparatus is now all in motion along with the matter, we must dealt .with the rays relative to the moving system, and to these also Fermat's principle clearly applies; thus V+ (lu'--mv'-Fnw') is here the velocity of radiation in the direction of the ray, but relative to the moving material system.

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  • Now the kinetics of a medium in which the parts can have finite relative motions will lead to equations which are not linear - as, for example, those of hydrodynamics - and the phenomena will be far more complexly involved.

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  • In 1897 the Radicals came in again, their leaders being first Georges Favon (1843-1902) till his death, and then Henri Fazy, a distant relative of James and an excellent historian.

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  • The real function of scepticism in the history of philosophy is relative to the dogmatism which it criticizes.

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  • The progress of thought may show it to be, in truth, relative, as when the nerve of Hume's scepticism is shown to be his thoroughgoing empiricism, or when the scepticism of the Critique of Pure Reason is traced to the unwarrantable assumption of things-in-themselves.

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  • Its justification is relative, and its function transitional.

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  • Ancient scepticism is fully treated in the relative parts of Zeller's Philosophie der Griechen.

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  • The city's river commerce, though of less relative importance since the advent of railways, is large and brings to its wharves much bulky freight, such as coal, iron and lumber; it also helps to distribute the products of the city's factories; and the National government has done much to sustain this commerce by deepening and lighting the channel.

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  • The philosophical works, occupying the first six and the last of the twenty-one volumes, are generally divided according to the Aristotelian scheme of the sciences, and consist of interpretations and condensations of Aristotle's relative works, with supplementary discussions depending on the questions then agitated, and occasionally divergences from the opinions of the master.

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  • Spontaneous self-pollination is rendered impossible in some homogamous flowers in consequence of the relative position of the anthers and stigma - this condition has been termed herkogamy.

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  • Flowers in which the relative position of the organs allows of spontaneous self-pollination may be all alike as regards length of style and stamens (homomorphy or homostyly), or differ in this respect (heteromorphy) the styles (From Strasburger's by permission of Gustav Fischer.) FIG.

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  • Even in homogamous flowers cross-pollination is in a large proportion of cases the effective method, at any rate at first, owing to the relative position of anther and stigma or the fact that the plant is self-sterile.

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  • It is further assumed, as the result of experiment, that the resistance is proportional to the density of the air; so that if the standard density changes from unity to any other relative density denoted by then R= Td 2 p, and is called the coefficient of tenuity.

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  • De la Gardie was treated with relative leniency, but he "received permission to retire to his estates for the rest of his life" and died there in comparative poverty, a mere shadow of his former magnificent self.

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  • But this they could not do; and since the version, owing to the limitations of the translators, departs widely from the sense of the original, Christian scholars were on the whole kept much farther from the original meaning than their Jewish contemporaries, who used the Hebrew text; and later, after Jewish grammatical and philological study had been stimulated by intercourse with the Arabs, the relative disadvantages under which Christian scholarship laboured increased.

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  • The Florida rice-rat (Sigmodon hispidus) is another well-known representative of the group. In the Old World the group is represented by the Persian Calomyscus, a near relative of Peromyscus.

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  • He naturally, therefore, opposed the attempts of the duke of Savoy, aided by his relative, the bishop of the city, to maintain his rights as lord of Geneva.

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  • Relative to the uncertain connexion of length, capacity and weight in the ancient metrological systems of the East, Sir Charles Warren, R.E., has obtained by deductive analysis a new equivalent of the original cubit (Palestine Exploration Fund Quarterly, April, July, October 1899).

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  • The early observance of the relative values may be inferred from Num.

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  • All the fossil plants and animals of every kind are brought from this continent into a great museum; the latitude, longitude and relative elevation of each specimen are precisely recorded; a corps of investigators, having the most exact and thorough training in zoology and botany, and gifted with imagination, will soon begin to restore the geographic and physiographic outlines of the continent, its fresh, brackish and salt-water confines, its seas, rivers and lakes, its forests, uplands, plains, meadows and swamps, also to a certain extent the cosmic relations of this continent, the amount and duration of its sunshine, as well as something of the chemical constitution of its atmosphere and the waters of its rivers and seas; they will trace the progressive changes which took place in the outlines of the continent and its surrounding oceans, following the invasion§ of the land by the sea and the re-emergence of the land and retreatal of the seashore; they will outline the shoals and deeps of its border seas, and trace the barriers which prevented intermingling of the inhabitants of the various provinces of the continent and the surrounding seas.

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  • The explorations made by Dr Lehmann in 1909 in the famous ruins of Teotihuacan, near Mexico city throw new light upon certain chronological problems. Like the excavations made by Dr Max Uhle in Peru, they tend to determine the relative antiquity of the different periods of the ancient civilization.

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  • The relative size of the crop to the trophi varies greatly; it is small where the trophi are well developed and complex, as well as in Bdelloidea; but in Flosculariaceae it is large, and so it is in Asplanchnaceae.

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  • Even as the minister of a constitutional monarch his intolerance of interference or joint authority, his temper at once imperious and intriguing, his inveterate inclination towards brigue, that is to say, underhand rivalry and caballing for power and place, showed themselves unfavourably; and his constant tendency to inflame the aggressive and chauvinist spirit of his country neglected fact, was not based on any just estimate of the relative power and interests of France, and led his country more than once to the verge of a great calamity.

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  • The identity, the absolute, which underlay all difference, all the relative, is to be characterized simply as neutrum, as absolute undifferentiated self-equivalence.

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  • Thereupon Cleomenes urged Leotychides, a relative and personal enemy of Demaratus, to claim the throne on the ground that the latter was not really the son of Ariston but of Agetus, his mother's first husband.

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  • It should be observed, however, that this choice of pleasures by a hedonist is conditioned not by "moral" (absolute) but by prudential (relative) considerations.

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  • In form the jaguar is thick-set; it does not stand high upon its legs; and in comparison with the leopard is heavily built; but its movements are very rapid, and it is fully as agile as its more graceful relative.

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  • In the case of high tension voltmeters, the movable plate takes the form of a single plate of paddle shape, and for extra high tensions it may simply be suspended from the end of a balanced arm; or the movable system may take the form of a cylinder which is suspended within, but not touching, another fixed cylinder, the relative position being such that the electric forces draw the suspended cylinder more into the fixed one.

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  • As the frame has the same linear expansion as the wire, external changes of the temperature will not affect their relative length, but if the fine wire is heated by the passage of an electric current, its expansion will move the indicating needle over the scale, the motion being multiplied by the gear.

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  • In elections as well as in legislative acts an absolute majority was required, and hence the candidate who gained a mere relative majority was not returned.

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  • The lordship of Lorne was wrested from the Macdougalls by Robert Bruce, and their extensive possessions, with Dunstaffnage Castle, bestowed on the king's relative, Stewart, and his descendants, afterwards lords of Lorne.

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  • Gregson's Fragments relative to the Duchy of Lancaster, p. 166 (1817); Liverpool Repository, i.

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  • These disputes, involving as they did the question of the relative powers of Congress and the states, tended to turn the Democratic-Republicans, who were becoming nationalized, back again toward their old state sovereignty principles - to prepare the way for the Jacksonian-Democratic Party.

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  • This epoch of relative uplift and active erosion is sometimes called the Sierran or Ozarkian epoch.

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  • Fauna.Differences of temperature have produced in North America seven transcontinental life-zones or areas characterized by relative uniformity of both fauna and flora; they are the Arctic, Hudsonian and Canadian, which are divisions of the Boreal Region; the Transition, Upper Austral and Lower Austral, which are divisions of the Austral Region, and the Tropical.

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  • The Southern states, on the other hand, have shown a diminishing relative foreign element since 1870, and had in 1900 only 79 of foreign parentage in 1000 whites.

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  • The relative excess of males in each unit of population has not constantly progressed, but has been continuous.

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  • The rank relative to area or population is of course different.

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  • It may be noted that the output in almost every item of mineral production was considerably greater in 1907 than in 1908, and the isolated figures of the latter year are of little interest apart from showing in a general way the relative commercial importance of the products named.

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  • With the reservations that only in the case of certain red haematite bedded deposits can any estimate be made of relative accuracy, say within 10%; that the concentration deposits of brown ore can be estimated only with an accuracy represented by a factor varying between 0.7 and 3; and that the great Lake Superior and the less known Adirondack deposits can be estimated within 15 to 20%, the total supply of the country was estimated at 79,594,220,000 long tons73,21o,415,000 of which were credited to haematite ores and 5,054,675,000 to magnetite.

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  • The remainder, or element of foreign exports, has been of similarly small relative magnitude since about 1880, but was of course much larger while the carrying trade was of importance.

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  • The proximity of the sea or of great lakes, the elevation and the direction of mountain chains, the usual path of storms and of prevalent winds, and the relative length of day and amount of sunshine in summer and winter all have their effect on different parts of Canada.

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  • Let us suppose that from a text which we will call A a copy has been made which we will call B, and from this again a copy which we will call C. If the copyist of B goes wrong once and the copyist of C twice in a hundred times, then, assuming that there is no coincidence or cancelling of errors, the relative correctness of the three texts A, B, C will be zoo (absolute correctness), 99 and 97.

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  • Aristotle is said to have written on monarchy and on colonies for Alexander; and the pupil is said to have slept with his master's edition of Homer under his pillow, and to have respected him, until from hatred of Aristotle's tactless relative, Callisthenes, who was done to death in 328, he turned at last against Aristotle himself.

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  • Persia is the home of Calomyscus (with one species), a near relative of the American Peromyscus.

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  • In order to form a relative idea of the importance of the various countries engaged in silk manufacture, a tabulation of the number of looms employed in each country would prove an inadequate guide, owing to the variations from time to time of the fabrics woven, as also to the difficulty in obtaining trustworthy statistics of the number in active operation.

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  • The spiritual influence of the Church again was exerted to preserve relative peace among feudal princes.

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  • Within these 30 kilometres all existing fortresses are dismantled, 3 no new ones are to be erected, and no armed troops to be maintained; any question between the two states relative to the provisions respecting the " buffer " zone to be decided by arbitration.

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  • This is consistent with Kirchhoff's law and shows that the sodium in a flame possesses the same relative radiation and absorption as sodium vapour heated thermally to the temperature of the flames.

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  • The main effects we have to discuss are (I) a symmetrical widening, (2) a shift of wave-length, which when it accompanies expansion in both directions may appear as an unsymmetrical widening, (3) a change in the relative intensities of the lines.

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  • When we compare together electric discharges the intensity of which is altered by varying, the capacity, we are unable to form an opinion as to whether the effects observed are due to changes in the density of the luminous material or changes of temperature, but the experiments of Sir William and Lady Huggins 1 with the spectrum of calcium are significant in suggesting that it is really the density which is also the determining factor in cases where different concentrations and different spark discharges produce a change in the relative intensities of different lines.

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  • Thompson and others have shown however that they contain both neutral and charged molecules in a relative proportion which adjusts itself continuously, so that even neutral molecules may partake of the translatory motion which they gained while carrying a charge.

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  • The author, no doubt correctly, remarks that the shift does net indicate a change of frequency but a change of relative intensity, consisting of a great number of fine lines; when the maximum intensity of the distribution of light is altered, the appearance is that of a shift.

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  • His professional income amounted to £400 a year, equal to £4000 in present money, and, " considering the relative profits of the law and the value of money, probably indicated as high a station as £ io,000 at the present day " (Campbell).

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  • There remain, therefore, the three suffixes -co-, -no-, and -ti-, and it will be seen from the table that the relative frequency of these suffixes in different dialect-areas varies very greatly.

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  • Accordingly, the many things of this world are not self-discrepant, as Bradley says, but are distinct and relative substances, as.

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  • Stewart also said that our knowledge of matter and mind is merely relative.

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  • Our knowledge is relative," said he, " first, because existence is not cognizable absolutely and in itself, but only in special modes; second, because these modes thus relative to our faculties are presented to and known by the mind, only under modification, determined by these faculties themselves."

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  • In this conclusion he is in close agreement with Kant; reason is the arbiter, and right is (1) not a matter of the emotions and (2) not relative to imperfect human nature.

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  • The scene at Canossa, which had at the moment a merely relative importance, remained in the memories of men as a symbol which was hateful or comforting, according to the point of view from which it was considered.

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  • Summing up the history of the papacy from the Congress of Vienna to the fall of the temporal power, one finds statistical gains in Protestant countries offset perhaps by relative losses in Catholic lands, both largely due to the closely related forces of toleration and immigration.

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  • Such statements as that a body moves in a straight line, and that it has a certain velocity, have no meaning unless the base, relative to which the motion is to be reckoned, is defined.

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  • He used the term "absolute motion" for motion relative to such a base.

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  • Suppose two small smooth spherical bodies which can be regarded as particles to be brought into collision, so that the velocity of each, relative to any base which is unaffected by the collision, is suddenly changed.

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  • The additions of velocity which the two bodies receive respectively, relative to such a base, are in opposite directions, and if the bodies are alike their magnitudes are equal.

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  • When, as in the case of contact, a mutual relation is perceived between the motions of two particles, the changes of velocity are in opposite directions, and the ratio of their magnitudes determines the ratio of the masses of the particles; the motion being reckoned relative to any base which is unaffected by the change.

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  • The Galileo-Newton theory of motion is that, relative to a suitably chosen base, and with suitable assignments of mass, all accelerations of particles are made up of mutual (so-called) actions between pairs of particles, whereby the two particles forming a pair have accelerations in opposite directions in the line joining them, of magnitudes inversely proportional to their masses.

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  • It is defined by the property that relative to it all accelerations of particles correspond to forces.

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  • Foucault's pendulum is another example of motion relative to the earth which exhibits the fact that the earth is not a Newtonian base.

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  • For the study of the relative motions of the solar system, a provisional base established for that system by itself, bodies outside it being disregarded,' is a very good one.

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  • No correction for any defect in it has been found necessary; moreover, no rotation of the base relative to the directions of the stars without proper motion has been detected.

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  • The raising of sheep and swine was of considerably less relative importance in 1910 than in 1850, there being 1,882,357 sheep and 1,040,366 swine in 1850 and 1,112,000 sheep and 931,000 swine in 1910.

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  • The general structure of the trans-Himalayan chains appears to indicate that the main axis of upheaval of the whole vast mass of the Tibetan highlands is to be found on two approximately parallel lines, represented the one by the Kuen-lun and the other by a line which is more or less coincident with the watershed between India and the central lake region, extending from Lake Pangong to Tengri Nor, the plateau enclosed between the two being wrinkled by minor folds, of which the relative elevation is comparatively low, averaging from woo to 1500 ft.

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  • This threefold succession is apparently an imitation or a debased form of the ancient legend of heavenly, earthly and human rulers, which was carried into Persia and China, and from the latter country into Japan and Tibet - the relative number of kings being altered in the last-named countries to suit local convenience and the small amount of truth which they contain.

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  • When the relative quantities of the components can vary continuously within certain limits, the substance is either a solution or a mixture.

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  • The relative lowering of vapour pressure of the solution compared with that of the solvent is measured by the ratio of the extra mass absorbed from the solvent bulbs to the total mass absorbed from both series of bulbs.

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  • Substituting these values, we find that the relative lowering of vapour pressure in a very dilute solution is equal to the ratio of the numbers of solute and solvent molecules, or (p - p')/p = n/N.

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  • If there are n molecules of solute to N of solvent originally, and each molecule of solute combines with a molecule of solvent, we get for the ratio of vapour pressures p/p'=(N - an)/(N - an+n), while the relative lowering of vapour pressure is (p - p')/p=n/(N - an).

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  • In the limit of dilution when n is very small compared with N this gives Raoult's experimental law that the relative lowering is n/N, which we deduced from the osmotic law, and conversely from which the osmotic law follows, while for more concentrated solutions agreement is obtained by assigning arbitrary values to a, which, as we have seen, is 5 in the case of cane-sugar.

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  • When stones and sand are obtained from different sources, their relative proportions have to be decided upon.

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  • The relative values of hand and machine work are often discussed.

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  • This would give for albinoes and pigmented individuals the amount per kilogramme of body-weight required to kill in each case, and would afford a measurement of the relative resistance of the two races.

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  • The optical phenomena produced by atmospheric water and ice may be divided into two classes, according to the relative position of the luminous ring and the source of light.

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  • Among the Romans custom imposed a sacred duty on the nearest relative, usually the heir, to inhale the "last breath" of the dying.

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  • If they fail, then (2) some other relative of the deceased in the same subdistrict (registrar's) as the deceased.

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  • The difference between the various systems lies in the relative importance given to the reproductive characters on the one hand and the vegetative characters on the other.

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  • But he had received some instruction in mathematics from a distant relative, Elihu Robinson, and in 1781 he left his native village to become assistant to his cousin George Bewley who kept a school at Kendal.

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  • He proceeds to give what has been quoted as his first table of atomic weights, but on p. 248 of his laboratory notebooks for 1802-1804, under the date 6th of September 1803, there is an earlier one in which he sets forth the relative weights of the ultimate atoms of a number of substances, derived from analysis of water, ammonia, carbon-dioxide, &c. by chemists of the time.

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  • It appears, then, that, confronted with the "problem of ascertaining the relative diameter of the particles of which, he was convinced, all gases were made up, he had recourse to the results of chemical analysis.

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  • Its electrical conductivity, determined on 99.6% metal, is 60.5% that of copper for equal volumes, or double that of copper for equal weights, and when chemically pure it exhibits a somewhat higher relative efficiency.

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  • The fact was studiously evaded or concealed that a dispensation had been granted by the archbishop of St Andrews for this irregularity, which could only have arisen through some illicit connexion of the husband with a relative of the wife between whom and himself no affinity by blood or marriage could be proved.

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  • Upon a table covered by a cloth lay two books in the relative positions shown in figure.

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  • The increasing importance of the mark of Styria, erected into a duchy in 1180, and the county of Tirol, had diminished both the actual and the relative strength of Bavaria, which was now deprived on almost all sides of opportunities for expansion.

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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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  • The proportion of pig to scrap used depends chiefly on the relative cost of these two materials, but sometimes in part also on the carbon-content which the resultant steel is to have.

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  • The prices cannot be taken as a guide to the wholesale price of a single and finished skin, but simply as relative value.

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  • To the demands of the British mission relative to the acceptance of a protectorate and other matters, Prempeh made no reply in the three weeks' grace allowed, which expired on the 31st of October 1895.

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  • The initiator, who must not be a relative, becomes a spiritual father, and the relation cannot be broken except by his consent.

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  • If the linear velocity of the cups in feet a second is V 1, and the linear velocity of the jet is V2, then the velocity of the jet relative to the cup is V2 - V1 feet a second, and if the whole energy of the water is to be given up to the cups, the water must leave the cup with zero absolute velocity.

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  • John Chrysoloras, a relative of the above (variously described as his nephew, brother or son), who, like him, had studied and taught at Constantinople, and had then gone to Italy, shared Manuel's reputation as one of those who spread the influence of Greek letters in the West.

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  • Ft50s, and meant a number of individuals having common characters peculiar to them, and so forming a group which with other groups were included in a higher group. The application of the term was purely relative, for the higher group itself might be one of the "species," or modes of a still higher group. In medicine it was used for the constituents of a prescription.

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  • The grant to other cults amounted to 118,000 francs, but small as this sum may appear it is in due proportion to the relative numbers of each creed.

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  • As an accident of pregnancy, it is far from uncommon, although its relative frequency, as compared with that of completed gestation, has been very differently estimated by accoucheurs.

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