Represented Sentence Examples

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  • The micrometer represented in figs.

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  • The colors represented the four countries of Oz, and the green star the Emerald City.

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  • There is no step, no crime or petty fraud he commits, which in the mouths of those around him is not at once represented as a great deed.

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  • CochinChina is represented in the French chamber by a deputy.

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  • In this picture three men are represented as having played a bowl, while the fourth is in the act of delivering his bowl.

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  • It is noteworthy that John Hampden and Edmund Burke both represented the borough.

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  • The administration of the affairs of the world by the God of Israel is represented, in a word, as determined not by ethical considerations but by personal preferences.

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  • Of these Iulis is represented by the town of Zea, and Carthaea by the village of 'S tais Polais; traces of the other two can still be made out.

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  • There are three declensions, each with a definite and indefinite form; the genitive, dative and ablative are usually represented by a single termination; the vocative is formed by a final o, as memmo from memme, " mother."

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  • In 1865 the synod of that province, in an urgent letter to the archbishop of Canterbury (Dr Longley), represented the unsettlement of members of the Canadian Church caused by recent legal decisions of the Privy Council, and their alarm lest the revived action of Convocation "should leave us governed by canons different from those in force in England and Ireland, and thus cause us to drift into the status of an independent branch of the Catholic Church."

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  • Higher education is represented by the provincial university, which teaches science and mathematics, holds examinations, distributes scholarships, and grants degrees in all subjects.

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  • The value of the factory product for 1905, however, was 3.3% less than that for 1900, though it represented 36.6% of the product of the state as a whole.

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  • In 1538 the ministers took upon themselves to refuse to administer the Lord's Supper in Geneva because the city, as represented by its council, declined to submit to church discipline.

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  • Vultures and hawks are well represented, but perhaps the most numerous of all are the parrots, of which there are six or seven species.

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  • The reptilians are represented in the Parana by the jacare (Alligator sclerops), and on land by the " iguana " (Teius teguexim, Podinema teguixin), and some species of lizard.

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  • He purchased the allegiance of the stryeltsi, or musketeers, and then, summoning the boyars of the council, earnestly represented to them that Theodore, scarce able to live, was surely unable to reign, and urged the substitution of little Peter.

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  • The general council, when not sitting, is represented by a permanent delegation (commission departementale).

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  • There is a superior council for the whole of Indo-China on which the natives and the European commercial community are represented, while in Cochin-China a privy council, and in the protectorates a council of the protectorate, assists in the work of administration.

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  • Hardly a noble house of Spain or Italy was not represented in the fleet, and the princes headed the boarders.

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  • The office of marshal in the high court is represented in this court by a serjeant, who also bears a silver oar.

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  • In elevating the marsupials to the rank of a sub-class the name Metatheria has been suggested as the title for the higher grade, with Marsupialia as the designation for the single order by which they are now represented.

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  • Hind extremities proportionally longer with inner toe represented only by a small metatarsal bone.

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  • First toe represented by a minute rudiment of a metacarpal bone; the fourth by a metacarpal and two small phalanges without a claw, and not reaching the middle of the metacarpal of the third; fifth entirely absent.

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  • A separate family, Notoryctidae, is represented by the marsupial mole (Notoryctes typhlops), of the deserts of south Central Australia, a silky, golden-haired, burrowing creature, with a curious leathery muzzle, and a short, naked stumpy tail.

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  • As regards the affinities of the creatures to which these jaws belonged, Professor Osborn has referred the Triconodontidae and Amphitheriidae, together with the Curtodontidae (as represented by the English Purbeck Curtodon), to a primitive group of marsupials, while he has assigned the Amblotheriidae and Stylacodontidae to an ancestral assemblage of Insectivora.

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  • The older records utilized by the Deuteronomic and later compilers indicate some common tradition which has found expression in these varying forms. Different religious standpoints are represented in the biblical writings, and it is now important to observe that the prophecies of Hosea unmistakably show another attitude to the Israelite priesthood.

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  • The Jurassic system is represented by two types.

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  • Of those peculiar to Australian waters may be mentioned the arripis, represented by what is called among the colonists a salmon trout.

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  • The military establishment at the beginning of 1909 was represented by a small permanent force of about 1400 members.

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  • That in days so remote as to be undateable, a Dravidian people driven from their primitive home in the hills of the Indian Deccan made their way south via Ceylon (where they may to-day be regarded as represented by the Veddahs) and eventually sailed and drifted in their bark boats to the western and north-western shores of Australia.

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  • At this meeting all the colonies except New Zealand were represented, and it was agreed that the parliament of each colony should be asked to pass a bill enabling the people to choose ten persons to represent the colony on a federal convention; the work of such convention being the framing of a federal constitution to be submitted to the people for approval by means of the referendum.

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  • Accordingly a premiers' conference was held in Melbourne at the end of January 1899, at which Queensland was for the first time represented.

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  • He was again sent to Berlin in 1871, acted as second plenipotentiary at the Berlin congress of 1878, and was sent in the same year to London, where he represented Austria for ten years.

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  • Thus, if x= horned and y = sheep, then the successive acts of election represented by x and y, if performed on unity, give the whole of the class horned sheep. Boole showed that elective symbols of this kind obey the same primary laws of combination as algebraical symbols, whence it followed that they could be added, subtracted, multiplied and even divided, almost exactly in the same manner as numbers.

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  • The regent therefore represented to her brother that the disorders were entirely put down and that the time had come to show mercy.

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  • A treaty establishing a firm alliance between the provinces, represented by the states-general, assembled at Brussels on the one part, and on the other by the prince of Orange, and the states of Holland and Zeeland, was agreed upon and ratified under the title of the " Pacification of Ghent."

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  • On seal-cylinders he is represented as an old man with flowing beard, with the crescent as his symbol.

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  • In the astral-theological system he is represented by the number 30, and the planet Venus as his daughter by the number 15.

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  • The right of voting being confined to members of the Communist party, the Government represented by no means one really elected by universal suffrage but rather a dictatorship of the lower classes.

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  • The one is that the animal sacrificed was looked upon as a deity, and that, therefore, the liver represented the soul of the god; the other theory is that the deity in accepting the sacrifice identified himself with the animal, and that, therefore, the liver as the soul of the animal was the counterpart of the soul of the god.

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  • In ancient sculptures and coins he is represented as a young man, habited like a shepherd, and sometimes carrying a sheep on his shoulders.

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  • Instead, we find the Sakai occupying this position, thus indicating that they have been driven northward by the Malays, and that the latter people has not been expelled by the Mon-Khmer races from the countries now represented by Burma, Siam and French Indo-China.

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  • Of the three sons of Count Franz, the eldest, Friedrich (1810-1881), entered the diplomatic service; after holding other posts he was in 1850 appointed president of the restored German Diet at Frankfort, where he represented the anti-Prussian policy of Schwarzenberg, and often came into conflict with Bismarck, who was Prussian envoy.

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  • But he was chiefly attracted to the philosophical system represented by Reid and Stewart.

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  • Hence the work done in raising the mass will be represented by mg v 2 /2g, that is, Zmv 2 ergs.

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  • Just as there were supposed to be several Pans and Fauns, so there were many Silenuses, whose father was called Papposilenus ("Daddy Silenus"), represented as completely covered with hair and more animal in appearance.

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  • The limit of speed of lift of hand cranes has already been mentioned; for steam jib cranes average practice is represented by the.

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  • Where electric or hydraulic cranes are worked from a central station the speed is greater, and may be roughly represented by V =5 +30o/T; e.g.

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  • The Permian may be represented, but the Trias is absent, and in general the older Palaeozoic rocks are overlaid directly by the Rhaetic and Lias.

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  • The next geological formation which is represented is the Eocene, consisting of nummulitic limestone, sandstone and schist.

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  • Faults or any other irregularity in the cable may be represented by putting resistances of the proper kind into the artificial line.

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  • Since each letter is represented by a specific combination of positive and negative currents, it is possible, by means of the combinations, to close a local circuit at any given interval, and so cause the paper to be pressed against the periphery of the type-wheel at the time when the letter required is opposite.

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  • The interpretation of the signals is according to the Morse code, - the dot and dash being represented by deflexions of the line of dots to one side or other of the centre line of the paper.

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  • The committee was of opinion that the cable should be owned and worked by the governments interested, and that the general direction should be in the hands of a manager in London under the control of a small board at which the associated governments should be represented.

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  • The borough was never represented in parliament, nor incorporated by charter.

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  • The first period is represented, not by any complete table, but by the old unmodernised forms of Tables III.

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  • This is represented by the rest of III.

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  • Large landlords are usually represented by ministri, or factors, who direct agricultural operations and manage the estates, but the estate is often let to a middleman, or mercante di campagna.

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  • The state incurred in this connection a liability of some 1/22o,ooo,000, of which about 1/2I6,00o,000 represented the rolling stock.

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  • On the 30th of June 1903 the patrimony of the endowment fund amounted to 17,339,040, of which only 264,289 were represented by buildings still occupied by monks or nuns.

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  • The liabilities of the fund (capitalized) amounted to 10,668,105, of which monastic pensions represented a rapidly diminishing sum of 2,564,930.

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  • The demands for reimbursement at par represented a sum of only 187,588 and the market value of the stock was hardly affected; while the saving to the Treasury was to be 800,000 per annum for the first five years and about double the amount afterwards.

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  • It would follow, on the other hand, that what is called Oscan represented the language of the invading Sabines (more correctly Safines), whose racial affinities would seem to be of a distinctly more northern cast, and to mark them, like the Dorians or Achaeans in Greece, as an early wave of the invaders who more than once in later history havevitally influenced the fortunes of the tempting southern land into which they forced their way.

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  • The senate, composed of nobles, represented the credenza and the gran consiglio.

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  • This led to the establishment of podests, who represented a compromise between two radically hostile parties in the city, and whose business it was to arbitrate and keep the peace between them.

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  • The cause of his son Conrad was sustained in Lower Italy by Manfred, one of Fredericks many natural children; and, when Frede- Conrad died in 1254, Manfred still acted as vicegerent ricks for the Swabians, who were now represented by a boy SUCCCS Conradin.

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  • Plebeian handicrafts assert their right to be represented on an equality with learned professions and wealthy corporations.

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  • Italy had entered on a new phase of her existence, and the great poets De monarchia represented a dream of the past which could not be realized.

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  • The princes of the house of Aragon, now represented by Frederick, a son of Ferdinand I., returned to Naples.

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  • Emmanuel Philibert, duke of Savoy, represented the oldest and not the least illustrious reigning house in Europe, and his descendants were destined to achieve for Italy the independence which no other power or prince had given her since the fall of ancient Rome.

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  • Victor Emmanuel, at the request of the people, assumed the protectorate over Tuscany, where he was represented by the Sardinian minister Boncompagni.

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  • Under the stress of the appalling financial conditions represented by chronic deficit, crushing taxation, the heavy expenditure necessary for the consolidation of the kingdom, the reform of the army and the interest on the pontifical debt, Sella, on the 11th of December 1871, exposed to parliament the financial situation in all its nakedness.

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  • His difficulty consisted in the fact that, like all Anglicans of the 16th century, he recognized no right of private judgment, but believed that the state, as represented by monarchy, parliament and Convocation, had an absolute right to determine the national faith and to impose it on every Englishman.

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  • Brahma (n.) is the designation generally applied to the Supreme Soul (paramatman), or impersonal, all-embracing divine essence, the original source and ultimate goal of all that exists; Brahma (m.), on the other hand, is only one of the three hypostases of that divinity whose creative activity he represents, as distinguished from its preservative and destructive aspects, ever apparent in life and nature, and represented by the gods Vishnu and Siva respectively.

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  • Most of the birds also are derived from the distant Indian region, while the IndoBurmese and Indo-Malayan regions are represented to a far less degree.

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  • Rasorial birds, such as peafowl, junglefowl, pheasants and partridges, though well represented in the Arakan hills, are rare in the islands; while a third of the different species found are peculiar to the Andamans.

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  • In this order the radial canals are represented only by wide gastric pouches, and in the family Solmaridae are suppressed altogether, so that the tentacles and the festoons of the ring-canal arise directly from the stomach.

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  • In Trachylinae the polyp-stage is passed over, and is represented only by the actinula as a transitory embryonic stage.

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  • Mechnikov considered the plate thus formed at the base of the polyp as equivalent to the umbrella, and the body of the polyp as equivalent to the manubrium, of the medusa; on this view the marginal tentacles almost invariably present in medusae are new formations, and the tentacles of the polyp are represented in the medusa by the oral arms which may occur round the mouth, and which sometimes, e.g.

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  • The Hertwigs when they discovered the endoderm-lamella showed on morphological grounds that polyp and medusa are independent types, each produced by modification in different directions of a more primitive type represented in development by the actinulastage.

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  • Medusae with sense-organs represented by otocysts derived from modified tentacles (tentaculocysts), containing otoliths of endodermal origin, and innervated from the ex-umbral nerve-ring.

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  • The radial canals are represented by wide gastric pouches, and may be absent, so that the tentacles arise directly from the stomach (Solmaridae).

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  • Woltereck considers the siphonophores most nearly allied to the Narcomedusae, producing like the buds from an aboral stolon, the first bud being represented by the pneumatophore or protocodon, in different cases.

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  • Of these St Matthias in the south, now represented by a 12th-century building, has a Christian cemetery of the Roman age.

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  • In the doctrines of the Neoplatonists, of whom Plotinus is the most important, we have the worldprocess represented after the example of Plato as a series of descending steps, each being less perfect than its predecessors, since it is further removed from the first cause.'

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  • In the later and developed form of the Kabbala, the origin of the world is represented as a gradually descending emanation of the lower out of the higher.

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  • In France the doctrine was represented by Turgot and Condorcet.

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  • Turning now to Leibnitz's conception of the world as a process, we see first that he supplies, in his notion of the underlying reality as force which is represented as spiritual (quelque chose d'analogique au sentiment et a Tappan), both a mechanical and a teleological explanation of its order.

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  • In the earlier writings of Schelling, containing the philosophy of identity, existence is represented as a becoming, or process of evolution.

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  • From 1851 to 1860 he represented his country in Florence.

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  • About 760 it became the capital of Northumbria; later it was a borough and was long represented in parliament.

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  • Even hair and feathers have occasionally been represented among the enclosures.

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  • The apothecaries, who were the pharmacists of those days, were not represented by any corporate body, but in the reign of King James I., in 1606, were incorporated with the Company of Grocers.

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  • It has been erroneously represented by interested persons that the Pharmaceutical Society desires a monopoly of the sale of poisons.

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  • A distinct feature of this ritual was wµocbayta (eating the flesh of the victim raw), whereby the communicants imagined that they consumed and assimilated the god represented by the victim, and thus became filled with the divine ecstasy.

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  • The term Cryptogam is archaic, implying a hidden method of reproduction as compared with the obvious method represented by the flower of the Phanerogam; with the aid of a good microscope it is, however, easier to follow the process of fertilization.

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  • The male gametophyte is represented by one or few cells and, except in a few primitive forms where the male cell still retains the motile character as in the Pteridophyta, is carried passively to the macrospore in a development of the pollen grain, the pollen tube.

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  • The male gametophyte is sometimes represented by a transitory prothallial cell;, the two male cells are carried passively down into the ovary and into the mouth of the ovule by means of the pollen-tube.

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  • Instead of presenting the appearance of a continuous band in which all the colors are represented, it is interrupted by seven vertical dark spaces.

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  • This group is represented by the erepsin of the pancreas and other organs.

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  • In the yeast cell the nucleus is represented by a homogenous granule, probably of a nucleolar nature, surrounded and perhaps to some extent impregnated by chromatin and closely connected with a vacuole which often has chromatin at its periphery, and contains one or more volutin granules which appear to consist of nucleic acid in combination with an unknown base.

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  • Though now on the way to extinction, Cycadeae are still widely represented in the southern hemisphere by genera which, however, have no counterpart in the Mesozoic era.

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  • There were oaks, beeches (scarcely distinguishable from existing species), birches, planes and willows (one closely related to the living Salix candida), laurels, represented by Sassafras and Cinnamomum, magnolias and tulip trees (Liriodendron), myrtles, Liquidambar, Diospyros and ivy.

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  • Sequoia and the tulip-tree still remain; figs are abundant; laurels are represented by Sassafras and camphor; herbaceous plants (Ranunculaceae, Cruciferae, Umbelliferae) are present, though, as might be expected, only fragmentarily preserved.

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  • Thus in the Mediterranean region the large groups of palms, figs, myrtles and laurels are each only represented by single surviving species.

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  • Amongst Conifers Cedrus is especially noteworthy; it is represented by geographical races in the north-west Himalaya, in Syria, Cyprus and North Africa.

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  • Trachycar pus and Rhapis are characteristic palms, and Cycadeae are represented by Cycas.

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  • Amongst palms the Corypheae are represented by Sabal and Thrinax, and there is a solitary Za,nza amongst Cycads.

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  • Elsewhere it is only represented by P. occidentalis, the largest tree of the Atlantic forests from Maine to Oregon, and by P. oriental is in the eastern Mediterranean.

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  • Cycads are represented by Cycas itself, which in several species ranges from southern India to Polynesia.

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  • C. de Candolle finds that with one exception the species belong to genera represented in one or other of the Indian peninsulas.

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  • In Brazil the myrtles are represented by monkey-pots (Lecythideae).

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  • Nearly related to myrtles are Melastomaceae which, poorly represented in the Old World, have attained here so prodigious a development in genera and species, that Ball looks upon it as the seat of origin of the family.

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  • Hemsley remarks that the northerr genus Erica, which covers thousands of square miles in Europe with very few species, is represented by hundreds of species in I comparatively small area in South Africa.

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  • Conifers are scantily represented by Callitris and Podocarpus, which is common to all three sub-regions; and Cycads by the endemic Encephalartos and Stangeria.

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  • Palms are poorly represented in the sub-region and are of an Indo-Malayan type.

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  • On the other hand, it is the headquarters of Mutisiaceae, represented in South Africa by such genera as Oldenburgia and Gerbera and by Triehocline in Australia.

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  • Melastomaceae, copiously represented in tropical America, are more feebly so in Peru and wholly wanting in Chile.

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  • Of Cupuliferae, Quercus in three species only reaches Colombia, but Fagus, with only a single one in North America, is represented by several from Chile southwards and thence extends to New Zealand and Tasmania.

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  • Bromeliaceae are represented by Rhodostachys and the temperate Puya.

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  • Republics, although represented in Europe, are the peculiar form of government of America and are unknown in Asia.

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  • He represented to Ferdinand and Isabella that it was essential to their safety to reorganize the Inquisition, which had since the 13th century (1236) been established in Spain.

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  • Bubastis, capital of the 19th nome of Lower Egypt, is now represented by a great mound of ruins called Tell Basta, near Zagazig, including the site of a large temple (described by Herodotus) strewn with blocks of granite.

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  • It is represented either by a spina interna or by a spina externa, or by both, or they join to form a spina communis which is often very large and sometimes ends in a bifurcation.

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  • The midbrain is represented chiefly by the optic lobes, the cortex of which alone is homologous with the corpora quadragemina of the mammals.

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  • The latter is, in comparison with mammals, represented by its middle portion only, the vermis; in a sagittal section it shows an extremely well developed arbor vitae, produced by the transverse, repeated folding of the whole organ.

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  • Then, of forms which are but weakly represented, we have the otherwise abundant thrushes (Turdidae), and, above all, the woodpeckers (Picidae), of which only very few species, out of 400, just cross the boundary and occur in Lombok, Celebes or the Moluccas, but are unknown elsewhere in the region."

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  • But the positive characteristics of the region as a whole are not its peculiar forms alone; there are at least four families which, being feebly represented elsewhere, here attain the maximum of development.

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  • The gallinaceous birds are represented by a quail, Coturnix novae zealandiae, now exterminated.

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  • There is one peculiar subfamily, Todinae, represented by only four species of Todus.

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  • The Patagonian Subregion, most extratropical, is naturally devoid of a good many typically tropical birds, or these are but poorly represented, for instance Caerebidae, Mniotiltidae, Tanagridae, Vireonidae.

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  • On the other hand some of the most characteristic features of the whole region are here well represented, e.g.

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  • Like the Nearctic the Palaearctic subregion seems to possess but one single peculiar family of land birds, the Panuridae, represented by the beautiful species known to Englishmen as the bearded titmouse, Panurus biarmicus.

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  • The Passerine Falculia, with its recently extinguished allies Fregilupus and Necropsar of the Mascarenes; the Coraciine Brachypteracias, Atelornis and Geobiastes, are very abundant, while Heliodilus is an owl belonging to that subfamily which is otherwise represented only by the widely-spread barn owl, Strix flammea.

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  • By the death of this little girl, John Howard became one of the coheirs of her illustrious house, which was now represented by the issue of Margaret Mowbray, his mother, and of her sister Isabel, who had married James, Lord Berkeley.

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  • The mean annual rainfall during nine years (1899-1907) was nearly 92 in., about one-eighth of it being represented by snow.

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  • The last member of it, Simon the Just (either Simon I., who died about 300 B.C., or Simon II., who died about 200 B.C.), was the first of the next series, called Elders, represented in the tradition by pairs of teachers, ending with Hillel and Shammai about the beginning of the Christian era.

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  • After this short ministry he represented his country with dignity and effect at the Hague peace congress, and in 1903 was nominated a member of the permanent court of arbitration.

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  • In Homer he is represented as an ideal warrior, the champion of the Trojans and the mainstay of the city.

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  • The corresponding border town on the Syrian side is represented by the picturesque and finely preserved ruins called Salahiya, the Ad-dalie or Dalie (Adalia) of Arabic times, two days below Deir, whose more ancient name is as yet unknown.

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  • The investigation that brought about this result was probably the most laborious that had been made up to Airy's time in planetary theory, and represented the first specific improvement in the solar tables effected in England since the establishment of the theory of gravitation.

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  • Livius himself took part in his plays, and in order to spare his voice he introduced the custom of having the solos (cantica) sung by a boy, while he himself represented the action of the song by dumb show.

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  • The Charruas are generally classified as a yellow-skinned race, of the same family as the Pampa Indians; but they are also represented as tanned almost black by the sun and air, without any admixture of red or yellow in their complexions.

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  • They were probably Finns of the branch now represented by the Votiaks and Permiaks, forced northwards by later immigrants.

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  • Some of the great families which were already looked on as noble were not represented in the council at the time of the shutting; of others some branches were represented and others not.

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  • From the time of Socrates in unbroken succession up to the reign of Hadrian, the school was represented by men of strong individuality.

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  • A genus much represented is Culcasia, and swampy localities are thickly set with the giant Cyrtosperma arum, with flower spathes that are blotched with deep purple.

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  • Ground orchids and tree orchids are well represented; Polystachya liberica, an epiphytic orchid with sprays of exquisite small flowers of purple and gold, might well be introduced into horticulture for its beauty.

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  • Roman Catholic apologetics - of necessity, Thomist - is well represented by Professor Schanz of Tubingen.

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  • The Coleoptera are almost worldwide in their distribution, being represented in the Arctic regions and on almost all oceanic islands.

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  • But while some large families, such as the Staphylinidae (rove-beetles) are especially abundant on the great northern continents, becoming scarcer in the tropics, others, the Cicindelidae (tiger-beetles), for example, are most strongly represented in the warmer regions of the earth, and become scarce as the collector journeys far to south or north.

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  • On the other hand, there are Arctic species like the ground-beetle, Pelophila borealis, and south-western species like the boring weevil, Mesites Tardyi, common in Ireland, and represented in northern or western Britain, but unknown in eastern Britain or in Central Europe.

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  • Partly owing to this, and partly to ancient feuds whose origin we cannot trace, the Athenian people was split up into three great factions known as the Plain (Pedieis) led by Lycurgus and Miltiades, both of noble families; the Shore (Parali) led by the Alcmaeonidae, represented at this time by Megacles, who was strong in his wealth and by his recent marriage with Agariste, daughter of Cleisthenes of Sicyon; the Hill or Upland (Diacreis, Diacrii) led by Peisistratus, who no doubt owed his influence among these hillmen partly to the possession of large estates at Marathon.

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  • The Cambrian is represented by blue clays, ungulite sandstones and bituminous slates in Esthonia and St Petersburg.

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  • Europe, represented in Poland and in the Urals, is missing in N.W.

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  • The limits of the Russian Jurassic system may be represented by a line drawn from the double valley of the Sukhona and Vytchegda to that of the upper Volga, and thence to Kieff, with a wide gulf penetrating towards the N.W.

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  • The Eocene covers wide tracts from Lithuania to Tsaritsyn, and is represented in the Crimea and Caucasus by thick deposits belonging to the same ocean which left its deposits on the Alps and the Himalayas.

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  • The deposits of the Post-Glacial period are represented throughout Russia, Poland and Finland, as also throughout Siberia and Central Asia, by very thick lacustrine deposits, which show that, after the melting of the ice-sheet, the country was covered with immense lakes, connected by broad channels (the fjarden of the Swedes), which later on gave rise to the actual rivers.

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  • In these assemblies the large proprietors sit in person, being thus electors in the second degree; the lesser proprietors are represented by delegates, and therefore elect in the third degree.

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  • The urban population, divided into two categories according to their taxable wealth, elects delegates direct to the college of the government (Guberniya), and is thus represented in the second degree; but the system of division into categories, according not to the number of taxpayers but to the amount they pay, gives a great preponderance to the richer classes.

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  • In the college itself the voting - secret and by ballot throughout - is by majority; and since this majority consists, under the actual system, of very conservative elements (the landowners and urban delegates having 8ths of the votes), the progressive elements - however much they might preponderate in the country - would have no chance of representation at all save for the curious provision that one member at least in each government must be chosen from each of the five classes represented in the college.

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  • The Mongol race is represented in Russia by the Kalmucks, who inhabit the steppes of Astrakhan between the Volga, the Don and the Kuma.

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  • At the same time the chief lines of railway which had been built by public companies with a state guarantee, and which represented a loss to the empire of £3,171,250 per annum, as well as a growing indebtedness, were bought by the state.

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  • Here the commander of " the Golden Horde," as the western The section of the Mongol empire was called, fixed his Golden headquarters and represented the majesty of his Horde.

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  • In this way German influence was enormously increased, and was represented by men of considerable capacity holding the highest official positions, such as Biren, Miinnich and Ostermann.

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  • Instead of the borrowing power being restricted to a small percentage of the total capital, as in European countries, most of the railway mileage of America has been built with borrowed money, represented by bonds, while stock has been given freely as an inducement to subscribe to the bonds on the XXII.

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  • The debt in that country is relatively small in amount, and is not represented by securities based upon hypothecation of the company's real property, as with the American railway bond, resting on a first, second or third mortgage.

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  • If the total resistance against which the train is maintained in motion with an instantaneous velocity of V feet per second is R, the rate at which energy is expended in moving the train is represented by the product RV, and this must be the rate at which energy is supplied to the train after deducting all losses due to transmission from the source of power.

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  • His father, John Scott Harrison (1804-1878), represented his district in the national House of Representatives in 1853-1857.

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  • He was elected to the Chamber in 1881 as deputy for Leghorn, which he represented until 1895, and joined the party of the Left..

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  • The documents underlying the Pentateuch and book of Joshua, represented by the ciphers J, E, D and P, are assumed to have been drawn up in the chronological order in which those ciphers are here set down, and the period of their composition extends from the 9th century B.C., in which the earlier portions of J were written, to the 5th century B.C., in which P finally took shape.

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  • We note in this connexion the form of a sacred bark represented in Meyer's Hist.

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  • The first is represented by the Deutero-Isaiah, who constitutes the climax and close of Hebrew prophetism, which is henceforth (with the possible exception of the Trito-Isaiah, Malachi and Jonah, who reproduce some features of the earlier prophecy) a virtually arrested development.

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  • The burgesses returned two members to parliament in 1320 and again in 1338 and 1341, but were never represented again.

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  • The mosaics of the choir (547) are due to Justinian, and, though inferior in style, are remarkable for their splendour of colouring and the gorgeous dresses of the persons represented, and also for their historical interest, especially the scenes representing the emperor and the empress Theodora presenting offerings.

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  • He represented Morton at the conference of 1578, and was one of the royal commissioners to the General Assembly in 1582 and again in 1588.

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  • On a painted vase the scene of the intercession of Heracles is represented (Heydermann, ZI ber eine nacheuripideische Antigone, 1868).

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  • Wollaston also published anonymously a small book, On the Design of the Book of Ecclesiastes, or the Unreasonableness of Men's Restless Contention for the Present Enjoyments, represented in an English Poem (London, 1691).

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  • It is represented by the ratio of a number containing about a hundred and sixty figures to unity, and so we are at once forced to the conclusion that this remarkable feature of the planetary motions must have some physical explanation.

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  • Owen Roe professed to be acting in the interest of Charles I.; but his real aim was the complete independence of Ireland, while the AngloNorman Catholics represented by the council desired to secure religious liberty and an Irish constitution under the crown of England.

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  • But John O'Neill (1740-1798), who represented Randalstown in the Irish parliament 1761-1783, and the county of Antrim from the latter year till his death, took an active part in debate on the popular side, being a strong supporter of Catholic emancipation.

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  • Wing-covers and hind-wings are alike absent, and the latter are represented by a pair of little knobbed organs, the halteres or balancers, which have a controlling and directing function in flight.

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  • In order to meet the universal discontent and the financial difficulties constitutional government was introduced; a parliament was established in which all races of the empire were represented, and in place of centralized despotism was established Liberal centralization under Schmerling and the German Liberals.

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  • External oppression and internal rivalries rent the Israelites, and in the religious philosophy of a later (Deuteronomic) age the period is represented as one of alternate apostasy from and of penitent return to the Yahweh of the " exodus."

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  • When the narratives describe the life of the young David at the court of the first king of the northern kingdom, when the scenes cover the district which he took with the sword, and when the brave Saul is represented in an unfavourable light, one must allow for the popular tendency to idealize great figures, and for the Judaean origin of the compilation.

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  • His zeal is represented in a twofold aspect.

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  • The work represented in Nehemiah and Ezra, and put into action by the supporters of an exclusive Judaism, certainly won the day, and their hands have left their impress upon the historical traditions.

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  • Each procurator represented not David but Caesar.

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  • If Maimonides represented Judaism on its rational side, Rashi was the expression of its traditions.

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  • The fish is also said to be represented in the oval-shaped figure, pointed at both ends, and formed by the intersection of two circles.

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  • Among the more interesting relics found were ivory figures of Egyptian or strongly Egyptianizing fabric. On an adjacent hill were the remains of what seems to have been in later times a temple of the Dictaean Zeus, and from the occurrence of rich deposits of Minoan vases and sacrificial remains at a lower level, the religious tradition represented by the later temple seems to go back to prehistoric times.

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  • The Keftiu who represented Minoan culture in Egypt in the concluding period of the Cnossian palace (Late Minoan II.) cease to appear on Egyptian monuments towards the end of the XVIIIth Dynasty (c. 1350 B.C.), and their place is taken by the "Peoples of the Sea."

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  • In the extreme east and west of the island the aboriginal Eteocretan" element, however, as represented respectively by the Praesians or Cydonians, still held its own, and inscriptions written in Greek characters show that the old language survived to the centuries immediately preceding the Christian era.

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  • The borough was represented by two members in parliament in 1300 and 1311, and then not again till 1640, from which date it returned two members until disfranchised by the act of 1868, the returning officer being the portreeve, who was also the chief magistrate of the borough until its incorporation by charter of 1846.

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  • The value of the total factory product was $57,45 1, 445 in 1905, when a little more than three-fourths was represented by lumber and timber products, cotton-seed oil and cake, and cotton goods.

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  • In North Carolina five of the seven life-zones into which North America has been divided are represented, but more of its area belongs to the upper-austral than to any other zone.

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  • Hebrew samekh is represented by Ar.

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  • The Syriac verb is remarkable for having entirely lost the original passive forms, such as in Arabic can be formed in every conjugation and in Hebrew are represented by the Pual and Hophal.

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  • It was not separated from the world of ideas, of which it was represented as either the crown or the sum.

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  • In the 17th century mysticism is represented in the philosophical field by the so-called Cambridge Platonists, and especially by Henry More (1614-1687), in whom the influence of the Kabbalah is combined with a species of christianized Neoplatonism.

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  • Also some genera mainly represented in South and tropical Africa, such as Satyrium, Disa and others.

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  • In those countries where the Reformation triumphed, this triumph represented the victory of the civil over the clerical powers in the long contest.

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  • There are considerable spaces where the strike, or axis, of the main ranges is transverse to the water-parting, which is then represented by intermediate highlands forming lacustrine regions with an indefinite watershed.

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  • From the Caspian to Karachi it is possible to pass without encountering any orographic obstacle greater than the divide which separates the valley of the Hari Rud from the Helmund hamun basin, which may be represented by an altitude of about 4000 ft.

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  • The first great result of recent geogra phical research has been to modify pre-existing ideas of results vestigate the orography of the vast central region represented by in.

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  • On the west its limit is in the Cape Verde Islands, and it is partially represented in Abyssinia.

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  • Insectivorous bats are numerous, but the frugivorous division of this order is only represented by a single species in Japan.

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  • The Rodents are also well represented by various squirrels, mice and hares.

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  • The great order of Ungulata is represented by various forms of sheep, as many as ten or twelve wild species of Ovis being met with in the mountain chains of Asia; and more sparingly by several peculiar forms of antelope, such as the saiga (Saiga tatarica), and the Gazella gutturosa, or yellow sheep. Coming to the deer, we also meet with characteristic forms in northern Asia, especially those belonging to the typical genus Cervus.

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  • The mammal fauna of the Indian region of Asia is much more highly developed than that of the Palaearctic. The Quadrumana are represented by several peculiar genera, amongst which are Semnopithecus, Hylobates and Simia.

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  • Both the insectivorous and frugivorous divisions of the bats are well represented.

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  • Nearly every order, except that of the Struthiones or ostriches, is well represented, and there are many peculiar genera not found elsewhere, such as Buceros, Harpactes, Lophophorus, Euplocamus, Pavo and Ceriornis.

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  • Of the sea fishes of Asia, among the Acanthopterygii, or spinyrayed fishes, the Percidae, or perches, are largely represented; the genus Serranus, which has only one species in Europe, is Fishes.

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  • The Mullidae, or red mullets, are largely represented by genera differing from those of Europe.

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  • The Cyprinidae, or carp, are largely represented in southern Asia, and there grow to a size unknown in Europe; a Barbus in the Tigris has been taken of the weight of 300 Th.

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  • The races speaking the languages akin to the ancient Assyrian, which are now mainly represented by Arabic, have been called Semitic, and occupy the countries south-west of Aryans.

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  • The Turkoman is the purest form of the Turk element, and his language is the purest form of the Turkish tongue, which is represented at Constantinople by a comparatively mongrel, or mixed, dialect.

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  • His talent enabled him to weld together the mixed southern clans which became incorporated under Judah, and to build up a monarchy which represented the highest conception of national life possible under the circumstances.

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  • It cannot be doubted that the three types of David, represented by the books of Samuel, of Chronicles, and the superscriptions of the Psalms, are irreconcilable, and that they represent successive developments of the original traditions.

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  • Dunster was only represented in parliament in conjunction with Minehead, one of its tithings being part of that borough.

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  • In any case the nephridia which occupy the segments of the body generally are first of all represented by paired structures, the "pronephridia," in which the funnel is composed of but one cell, which is flagellate.

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  • Among the purely aquatic families such structures are very rare, and are represented by two caeca in the genus Limnodriloides.

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  • The median lacuna no longer exists, but is represented by a dorsal and ventral sinus.

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  • These ducts therefore have not their exact counterparts in the Oligochaeta, unless we are to assume that they collectively are represented by the seminal vesicles of earthworms and the vasa deferentia.

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  • He wished to establish a strong ministry,, which should be responsible like an English ministry, but to an assembly chosen to represent the people of France better than the English House of Commons at that time represented England.

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  • At Limington he came into conflict with law and order as represented by the sheriff, Sir Amias Paulet, who is said by Cavendish to have placed Wolsey in the stocks; Wolsey retaliated long afterwards by confining Paulet to his chambers in the Temple for five or six years.

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  • It was represented by the ancients as a creature having the forepart a goat, and the hindpart a fish, or sometimes simply as a goat.

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  • He represented the English Parliament in Scotland in 1643, and attended the parliamentary commissions at the Uxbridge Conference in 1645.

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  • An intermediate step between Anu viewed as the local deity of Erech (or some other centre), Bel as the god of Nippur, and Ea as the god of Eridu is represented by the prominence which each one of the centres associated with the three deities in question must have acquired, and which led to each one absorbing the qualities of other gods so as to give them a controlling position in an organized pantheon.

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  • Thomas Garnet, who suffered for supposed implication in the Gunpowder Plot, rose from the dead to encourage the Jesuits in the first satire, and in the third Ignatius Loyola is represented as dictating his wishes to his disciples from his death-bed.

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  • Anton von Schiefner, Zagursky, and others have greatly reduced this number; but even then there are not less than fifty represented.

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  • It represented the goddess, standing in the stiff archaic style, holding a spear in her right hand, in her left a distaff and spindle or a shield.

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  • Volcanic rocks, locally called "Toadstone," are represented in the limestones by intrusive sills and flows of dolerite and by necks of agglomerate, notably near Tideswell, Millersdale and Matlock.

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  • His skill in verse-making seems to have shown itself early, as at the age of fifteen he composed a piece in Latin which was represented by his fellow-pupils at the Jesuits' college of Rouen.

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  • At Rome Proserpine was associated with Ceres (the Roman representative of Demeter) in the festival of the Cerealia (April 12 to 19), she was represented as the wife of Dis Pater (the Roman Pluto), and was sometimes identified with the native Latin goddess Libera.

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  • The import of the manufactured product from 1875 to 1900 increased at a much greater ratio than that of the raw grain, for whilst in 1875 the former represented less than one-ninth of the total, by 1900 the proportion had risen to nearly one-fourth.

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  • The comparative insignificance of Ireland in the case of the wheat and barley crops, represented by 2 and 8% respectively, receives some compensation when oats and potatoes are considered, about one-fourth of the area of the former and more than half that of the latter being claimed by Ireland.

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  • In the case of sheep the National Sheep Breeders' Association looks after the interests of flockmasters in general, whilst most of the pure breeds are represented also by separate organizations.

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  • The general export trade of the United Kingdom in living animals represented an aggregate average annual value over the five years 1896-1900 of £1,017,000 as against £935,801 over the five years 1901-1905.

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  • Only in Asia Minor, where the Seleucid cause was represented by the king's cousin, the able Achaeus, was its prestige restored and the Pergamene power driven back to its earlier limits.

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  • The shell is represented as fixed, while the head and foot rotate from left to right.

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  • When dissected out they appear as represented in fig.

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  • The terrestrial Streptoneura (represented in England by the common genus Cyclostoma) FIG.

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  • It was said that the male figure represented Christ, and that the group had been set up in recognition of the miraculous cure.

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  • As the British fleet had abandoned the Mediterranean since November 1796 and had recently been disorganized by two serious mutinies, Bonaparte's plan of conquering Egypt was .by no means so rash as has sometimes been represented.

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  • The internal condition of France was also not so desperate as has often been represented.

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  • Although it was recognized that certain tributaries, represented e.g.

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  • The god was probably son and mate of the goddess, and the divine pair represented the genius of Reproductive Fertility in its relations with humanity.

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  • Sports, probably more or less religious, are often represented, e.g.

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  • Thanks to the exploration of Cnossus, we now know that Aegean civilization had its roots in a primitive Neolithic period, of uncertain but very long duration, represented by a stratum which (on that site in particular) is in places nearly 20 ft.

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  • They have developed a more convenient and expressive written character by stages of which one is best represented by the tablets of Hagia Triada.

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  • It thus represented a subjective creation, not an objective fact.

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  • The god Lug is represented as having been swallowed in a draught of wine by his mother Dechtire, sister of Conchobar, who was king of Ulster.

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  • He is represented as living at Dun Delgan (Dundalk).

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  • In Northern Africa the group is represented by the scimitar-horned 0.

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  • It has been disputed whether any true cerci exist in the higher insects, but they are probably represented in the Diptera and in the scorpionflies (Mecaptera).

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  • It is therefore a haemocoel, the coelom of the developed insect being represented only by the cavities of the genital glands and their ducts.

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  • For in the post-embryonic development of the ancestors of the Endopterygota we may imagine two or three instars with wing-rudiments to have existed, the last represented by the sub-imago of the may-flies.

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  • It is believed that insects of this group are represented among Silurian fossils.

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  • Still the colouring is pretty well done, and experience has proved that generally speaking there is not much difficulty in recognizing the species represented.

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  • The contents of such a circular group are symbolically (or analogically) represented by the contents of all other circles in the animal kingdom.

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  • Far more singular was the celebration at Beauvais, which was held on the 14th of January, and represented the flight into Egypt.

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  • Towards the Caspian, especially between Petrovsk and the river Sulak, the Cretaceous system is well represented, and upon its rocks rest marls, shales, and sandstones of the Eocene period.

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  • The crystals of prismatic habit represented in figs.

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  • Twinning is represented only by twinlamellae, which are parallel to the planes m and f and are of secondary origin, having been produced by pressure.

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  • Gibbons may be divided into two groups, the one represented by the siamang, Hylobates (Symphalangus) syndactylus, of Sumatra and the Malay Peninsula, and the other by a number of closely allied species.

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  • Kretschmer goes further and divides the Illyrian language into two sharply defined dialects, the northern dialect being represented by the Heneti.

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  • Indeed, the building has been compared to the treasure den of a gang of "sea sharkers," and from a museum of sculpture of the most varied kind, nearly every century from the 4th down to the latest Renaissance being represented.

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  • In modern spiritualism the familiar is represented by the "guide," corresponding to which we have the theosophical "guru."

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  • The city's tax valuation in 1907 was $1,313,471,556 (in 1822, $42,140,200; in 1850, $180,000,500), of which only $242,606,856 represented personalty; although in the judgment of the city board of trade such property cannot by any possibility be inferior in value to realty.

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  • These glands are represented externally by a special plate, the cribellum, which lies in front of the ordinary spinning mamillae, and by a comb of short bristles, the calamistrum, placed in the penultimate segment of the left of the last pair.

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  • One genus of Thomisidae (Phognarachne), which inhabits the Oriental region, adopts the clever device of spinning on the surface of a leaf a sheet of web resembling the fluid portions of a splash of bird's dung, the more solid central portions being represented by the spider itself, which waits in the middle of the patch to seize the butterflies or other insects that habitually feed on birds' excrement and are attracted to the patch mistaking it for their natural food.

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  • Some 73,000 looms are also represented.

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  • The Druids are represented as being able to foretell the future and to perform magic. Before setting out on the great expedition against Ulster, Medb, queen of Connaught, goes to consult her Druid, and just before the famous heroine Derdriu (Deirdre) is born, Cathbu prophesies what sort of a woman she will be.

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  • In the religious literature they are almost exclusively represented as magicians and diviners opposing the Christian missionaries, though we find two of them acting as tutors to the daughters of Laegaire, the high-king, at the coming of St Patrick.

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  • They are represented as endeavouring to prevent the progress of St Patrick and St Columba by raising clouds and mist.

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  • Considered as holy wars the Crusades must be interpreted by the ideas of an age which was dominated by the spirit of otherworldliness, and accordingly ruled by the clerical power which represented the other world.

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  • Without being intolerant, the Turks were a rougher and ruder race than the Arabs of Egypt whom they displaced; while the wars between the Fatimites of Egypt and the Abbasids of Bagdad, whose cause was represented by the Seljuks, made Syria (one of the natural battle-grounds of history) into a troubled and unquiet region.

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  • But the Third Crusade, unlike the First, does not spring from the papacy, which was passing through one of its epochs of depression; it springs from the lay power, which, represented by the three strong monarchies of Germany, England and France, was at this time dominant in Europe.

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  • The rocks do not appear to differ very markedly from those farther south, but the Devonian is believed to be represented.

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  • The central thread just alluded to is represented in the Nemertean proboscis by that portion which is never everted, and the tip of the glove by the boundary between the evertible and non-evertible portion of the proboscis - a boundary which in the Metanemertini is marked by the presence of a pointed or serrated stylet.

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  • Whereas in the Metanemertines an arrangement prevails as represented in fig.

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  • Such an instrument is called a shunted movable coil ammeter, and is represented by a type of instrument shown in fig.

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  • As the female counterpart of the Phoenician Baal (viewed as a sun-god), and on the testimony of late writers (Lucian, Herodian) that she was represented with horns, the place-name AshterothKarnaim in Gilead ("Ashteroth of the horns") has been considered ample proof in favour of the theory.

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  • The unbelieving receive the external sign or sacramentum; but the believing receive in addition, although invisibly, the reality represented by the sign, the res sacramenti.

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  • The king's advocate also represented the crown in the ecclesiastical courts, and was its standing adviser in matters of international and foreign law.

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  • The admiralty advocate or advocate to his majesty in his office of admiralty represented specially the lords of the admiralty.

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  • He takes them as the type of the contemplative, in contrast with the Essenes, who represented rather the practical life.

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  • A third type of Condylarthra from the North American Lower Eocene is represented by the family Meniscotheriidae, including the genera Meniscotherium and Hyracops.

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  • But " alchemy " was something more than a particularly vain and deluded manifestation of the thirst for gold, as it is sometimes represented; in its wider and truer significance it stands for the chemistry of the middle ages.

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  • Later, however, as in the Commentary on this work written by Synesius to Dioscorus, priest of Serapis at Alexandria, which probably dates from the end of the 4th century, a changed attitude becomes apparent; the more practical parts of the receipts are obscured or omitted, and the processes for preparing alloys and colouring metals, described in the older treatise, are by a mystical interpretation represented as resulting in real transmutation.

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  • Originally a nature goddess (like Venus the garden goddess, with whom she was sometimes identified), she represented at first the hope of fruitful gardens and fields, then of abundant offspring, and lastly of prosperity to come and good fortune in general, being hence invoked on birthdays and at weddings.

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  • Spes is represented as a beautiful maiden in a long light robe, lifting up her skirt with her left hand, and carrying in her right a bud already closed or about to open.

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  • Like Fortune, with whom she is often coupled in inscriptions on Roman tombstones, she was also represented with the cornu copiae (horn of plenty).

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  • Reinach (Revue archeologique, 1903), Tantalus was represented in a picture standing in a lake and clinging to the branches of a tree, which gave rise to the idea that he was endeavouring to pluck its fruit.

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  • Eabani, whose name signifies "Ea creates," pointing to the tradition which made the god Ea the creator of mankind, is represented in the epic as the type of the primeval man.

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  • The nervous system is represented by an oesophageal collar and a suboesophageal ganglion, whence paired nerves pass outwards to innervate the anterior extremity and backwards towards its posterior end.

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  • The fight between Achilles and Memnon was often represented by Greek artists, as on the chest of Cypselus, and more than one Greek play was written bearing his name as a title.

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  • On early Greek vases he is represented as borne through the air; this is the sun making his way to his place of departure in the west.

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  • The semi-major axis, CA or CB, is called the mean distance, and is represented by the symbol a.

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  • His publications include Philosophy of Kant (1878); Critical Philosophy of Kant (1889); Religion and Social Philosophy of Comte (1885); Essays on Literature and Philosophy (1892); Evolution of Religion (Gifford Lectures, 1891-1892); Evolution of Theology in the Greek Philosophers (1904); and he is represented in this encyclopaedia by the article on Cartesianism.

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  • During the struggle of Spain against Napoleon, the island, in common with the other American dominions, was represented in the Spanish Cortes and had its first legislative assembly.

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  • He represented the United States Bureau of Education at the International Congress of Educators at Brussels in 1880.

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  • In 1889 he represented the United States Bureau of Education at the Paris Exposition, and from 1889 to 1906 was United States commissioner of education.

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  • It was represented as the entrance by which both Odysseus and Aeneas descended to the infernal regions, and as the abode of the Cimmerii.

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  • In 1883 he was sent to Berlin as minister for Baden in the Federal Council and from 1884 to 1890 he represented the Council in the Imperial Insurance Office.

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  • Then with the concentration of the cultus at Jerusalem represented by Deuteronomy, the celebration was restricted to the Judean capital, and its duration fixed at seven days, though its date was still left indeterminate.

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  • The value of the wholesale slaughtering and meat-packing product decreased from $18,551,783 in 1880 and $11,356,511 in 1890 to $6,243,217 in 190o - of this 85,708,763 represented wholesale slaughtering alone; in 1905 the wholesale slaughtering product was valued at $7,568,739.

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  • As a borough of the Palatinate Hartlepool was not represented in parliament until the 19th century, though strong arguments in its favour were advanced in the Commons in 1614.

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  • From 1776 to 1788 he represented Fairfax county in the Virginia Assembly.

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  • At any rate we begin to see that some of the Ratitae, namely the Rheidae, may possibly be an early and then much modified offshoot of such of the Carinatae as are now represented by the Crypturi, whilst in another part of the world, and at a much later time, kiwis and moas have sprung from a somewhat more Gallilorm stock, which points to a descent from a still undivided GalliformTinamiform mass.

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  • Compounds were represented by copulating simpler symbols, e.g.

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  • From a detailed study of organic compounds Gerhardt had promulgated a " theory of types " which represented a fusion of the older radical and type theories.

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  • For instance, sulphuric acid is usually represented by the formula S0 2 (OH) 2, which indicates that it may be regarded as a compound of the group SO 2 with twice the group OH.

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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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  • Theoretically the reaction takes place in the case of ferric nitrate in the manner represented by the equation Fe(NOs) 3 + 3KCNS = Fe(CNS) 3 + 3KNOs; Ferric nitrate.

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  • If a very large quantity of water be added, the chloride is entirely decomposed in the manner represented by the equation BiC1 3 -fOH, = BiOCI -F2HC1, Bismuth chloride.

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  • Similarly he represented the reactions investigated by Liebig and Wehler on benzoyl compounds as double decompositions.

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  • By its aid the molecule is represented as a collection of atoms connected together by valencies in such a manner that the part played by each atom is represented;.

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  • The ringed structure of benzene, C 6 H 61 was first suggested in 1865 by August Kekule, who represented the molecule by six CH groups placed at the six angles of a regular hexagon, the sides of which denoted the valencies saturated by adjacent carbon atoms, the fourth valencies of each carbon atom being represented as saturated along alternate sides.

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  • It will be seen, however, that the absolute disposition of the fourth valency may be ignored in a great many cases, and consequently the complex may be adequately represented as a hexagon.

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  • Wagner's earlier works have too long been treated as if they represented the pure and healthy childhood of his later ideal; as if Lohengrin stood to Parsifal as Haydn, Mozart and early Beethoven stand to Beethoven's last quartets.

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  • But Wagner never thus represented the childhood of an ideal, though he attained the manhood of the most comprehensive ideal yet known in art.

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  • Most commonly Ariadne is represented asleep on the shore at Naxos, while Dionysus, attended by satyrs and bacchanals, gazes admiringly upon her; sometimes they are seated side by side under a spreading vine.

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  • An argument for discontinuity of race is found in the fact that whereas the Sumerians are never represented as using the bow, their predecessors certainly made flint arrowheads.

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  • At first, indeed, Eabani curses the fate which led him away from his former life, and Gilgamesh is represented as bewailing Eabani's dissatisfaction.

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  • For the symbol which was used at Ephesus and other places in Asia Minor and elsewhere for the sound represented by -aa- in Ionic Greek, by -TT- in Attic, see ALPHABET.

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  • Hence in transcription from foreign languages and in works on phonetics it is represented by s or š.

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  • The sound of sh is also sometimes represented by s, as in sure, sugar.

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  • Of the four kings who now divided the Macedonian Empire amongst them, two were not destined to found durable dynasties, while the house of Antigonus, represented by Demetrius, was after all to do so.

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  • Instead of shading lines following the greatest slopes, lines following the contours and varying in their thickness and in their intervals apart, according to the slope of the ground to be represented, may be employed' This method affords a ready and expeditious means of sketching the ground, if the draughtsman limits himself to characteristically indicating its features by what have been called " form lines."

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  • Distances such as these can be measured only on a topographical map of a fairly large scale, for on general maps many of the details needed for that purpose can no longer be represented.

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  • If a number of copies is required it may be advisable to print a map of the country represented in colours, and either to emboss this map, backed with papier-mâché, or paste it upon a copy of the relief - a task of some difficulty.

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  • The Aegean Sea occupied the centre of the map, while the line where ocean and firmament seemed to meet represented an enlarged horizon.

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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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  • Among countries represented on a larger scale on maps, Palestine not unnaturally occupies a prominent place in this age of pilgrimages and crusades (1095-1291).

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  • They led firstly to the addition of degree lines to maps, and secondly to the compilation of new maps of those countries which had been inadequately represented by Ptolemy.

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  • On the maps of Delisle and d'Anville the ground is still represented by " molehills."

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  • France is represented by the publishing firms of Ch.

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  • These British possessions, together with the whole of Somaliland and southern Abyssinia, are satisfactorily represented on the maps of the British general staff.

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  • Colombia is but inadequately represented by rough maps.

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  • Vergara y Velasco's Atlas de geografia colombiana (1906-1908); Ecuador is fairly well represented by Th.

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  • All these varieties were represented at the annual show of the Kennel Club in the autumn of 1905, and at the representative exhibition of America held under the management of the Westminster Kennel Club in the following spring the classification was substantially the same, additional breeds, however, being Boston terriers - practically unknown in England, - Chesapeake Bay dogs, Chihuahuas, Papillons and Roseneath terriers.

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  • The relations of the above authorities are too complicated to be treated of here in detail, but they are represented on the subjoined diagram.

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  • In spite of this opposition, he held chairs of philosophy at Turin, Milan and Rome in succession, and during several administrations represented the college of Gavirate in the chamber.

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  • His policy towards all governments outside Italy was to support them wherever they represented social order; and it was with difficulty that he persuaded French Catholics to be united in defence of the republic. The German Kulturkampf was ended by his exertions.

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  • For certain alleged offences of the master the slave could bring an action, being represented for the purpose by an adsertor.

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  • It is represented by a nearly complete skeleton, and has doublycurved horns and sheep-like teeth.

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  • The majority of these were Greeks, Italians, Syrians, Armenians and other Levantines, though almost every European and Oriental nation is represented.

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  • The rigorists, who soon became known as "Spirituals," represented St Francis as the initiator of Joachim's third age.

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  • Papyrus rolls are represented in ancient Egyptian wall-paintings; and extant examples of the rolls themselves are sufficiently numerous.

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  • Thus the Zarvanites represented Ormazd and Ahriman as twin sons proceeding from the fundamental principle of all - Zrvana Akarana, or limitless time.

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  • Since the same plant, owing to peculiarities of climate, soil and situation, degree of exposure to light and other influences may vary greatly according to the locality in which it occurs, it is only by gathering together for comparison and study a large series of examples of each species that the flora of different regions can be satisfactorily represented.

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  • Pertusariae should be represented by both fruiting and sorediate specimens.

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  • The Crucifixion, and subjects from the Passion, are never represented.

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  • The Perissodactyla may be divided into the four following sections, namely the extinct Titanotheroidea, the Hippoidea, represented by the horse tribe and their ancestors, the Tapiroidea, typified by the tapirs, and the Rhinocerotoidea, which includes the modern rhinoceroses and their forerunners.

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  • The group is represented by the families Palaeosyopidae and Titanotheriidae in the Tertiary deposits of North America.

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  • In America the family is represented by Heptodon, of the Middle Eocene, which differs from the early members of the tapir-stock in having a long gap between the lower canine and first premolar; the dentition is complete, and the upper premolars are simple.

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  • In Europe the group is represented by the long-known and typical genus Lophiodon with three premolars in each jaw, of which the upper are simpler than the molars.

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  • Rhinoceros Group. - The last section of the Perissodactyla is that of the Rhinocerotoidea, represented by the modern rhinoceroses and their extinct allies.

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  • The most primitive group is that of the American Hyracodontidae, !represented in the Oligocene by Hyrachyus, Hyracodon and Triplopus.

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  • In the Amynodontidae, represented by the North American Middle Eocene Amynodon and Metamynodon, the premolars may be either 4 or g, making the total number of teeth either 44 or 40.

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  • Finally, we have the family Rhinocerotidae, which includes the existing representatives of the group. In this family the dentition has undergone considerable reduction, and may be represented inclusive of all the variations, by the formula i a or a m a The first upper incisor, whenpresent, has an 430r2; PP antero-posteriorly elongated crown, but the second is small; when fully developed, the lower canine is a large forwardly directed tusk-like tooth with sharp cutting-edges, and biting against the first upper incisor.

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  • The eye is small, and the external ear represented by a minute aperture, scarcely larger than would be made by a pin, about 2 in.

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  • While the priests developed the sacrificial ritual, it was the prophets that represented the theocratic element of the national life - they devoted themselves to their task with noteworthy persistence and ability, and their efforts were crowned with success; but their virtue of singlemindedness carried with it the defect of narrowness - they despised all peoples and all countries but their own, and were intolerant of opinions, held by their fellow-citizens, that were not wholly in accordance with their own principles.

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  • Wisdom is represented as the result of human reflection, and thus as the guide in all the affairs of life.

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  • Manufacturing industries are for the most part closely related to the products of the soil, about two-thirds of the value of all manufactures in Igoo and in 1905 being represented by sugar and molasses refining, lumber and timber products, cotton-seed oil and cake, and rice cleaned and polished.

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  • The extent of the Union control is shown by the fact that the legislature of 1864 represented half of the area and two-thirds of the population of the state.

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  • Waders are represented by more than fifty species.

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  • Falcons are represented by a score of species, at least, several of them nocturnal.

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  • Trumpeters are notably represented, and climbers still more so.

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  • Of the sharks the genus Squalus is represented by individuals that grow to a length of 26 to 30 ft.

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  • The reactions are represented as (I) N2+3H2+2C0 -1-2H 2 0=2H CO 2 NH 4 (Ammonium formate).

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  • Of these that represented by Severus stood nearest to the Christology of Cyril.

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  • An opposite tendency was that of the Aphthartodocetae or Phantasiastae, represented by Julian, bishop of Halicarnassus, and, in his closing days, by Justinian.

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  • The later middle ages are represented by several monasteries, and many castles, such as those of Dervent, Doboj, Maglaj, Zepee and Vranduk, on the Bosna; Bihac, on Owing to the scarcity of authoritative documents, it is impossible to describe in detail the events of the next three centuries.

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  • In every important campaign of the Turkish armies, these descendants of the Bogomils were represented; they amassed considerable wealth from the spoils of war, and frequently rose to high military and administrative positions.

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  • The first class contains such revenues as the emlak verghi-si (duty on realty), `ashar (tithes), temettu (professional tax), &c. In all such cases the taxable values are fixed by a commission of experts, sometimes chosen by the tax-payers themselves, sometimes by the official authorities; in all cases both tax-payers and authorities are represented on the commissions, whose decisions may be appealed against, in last resort, to the council of state at Constantinople, whose decision is final.

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  • Strife then arose between the committee and the Liberal Union, a body which mainly represented the Christian electorate, and on the 5th of April Hassan Fehmi Effendi, who edited the Serbesti, the official organ of the union, was assassinated.

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  • It seemed as if nothing could save the Austrians from complete disaster, but at the critical moment the emperor, yielding to the protestations of his corps commanders, who represented the excessive fatigue of their troops, stopped the pursuit, and the archduke made the most of his opportunity to restore order amongst his demoralized men, and crossed to the north bank of the Danube during the night.

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  • At the time of the reformation under Josiah, represented by Deuteronomy, the attempt was made to turn the family thank-offering of firstlings into a sacrificial rite performed by the priests in the Temple with the aid of the males of each household, who had to come up to Jerusalem but left the next morning to celebrate the Feast of Unleavened Bread in their homes.

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  • The paschal lamb is no longer eaten but represented by the shank bone of a lamb roasted in the ashes; unleavened bread and bitter herbs (haroseth) are eaten; four cups of wine are drunk before and after the repast, and a certain number of Psalms are recited.

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  • He was represented by a stone or post, set up in the ground with the following religious ceremonies.

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  • The name Atlas given to these mountains by Europeans - but never used by the native races - is derived from that of the mythical Greek god represented as carrying the globe on his shoulders, and applied to the high and distant mountains of the west, where Atlas was supposed to dwell.

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  • But in spite of statements in which ancient authors have represented Aristides as a democratic reformer, it is certain that the period following the Persian wars during which he shaped Athenian policy was one of conservative reaction.

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  • France is represented by a resident superior, who presides over the ministerial council and is the real ruler of the country, and by residents exercising supervision in the districts into which the country is split up for the purposes of the French administration.

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  • The Montreuil form of training is represented by fig.

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  • From serving primitively as the essential organ of the cleft the tongue-bar may have undergone reduction and modification, becoming a secondary bar in Amphioxus, subordinate to the primary bars in size, vascularity and development; finally, in the craniate vertebrates it would then have completed its involution, the suggestion having been made that the tongue-bars are represented by the thymusprimordia.

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  • He was represented in works of art as carrying off the body of the dead Patroclus or lifting up his hand to slay Helen.

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  • When a people migrate they may take with them their god, and if they conceive him to be a spiritual being who cannot be represented by an image, they may desire a symbolical expression of or, rather, a substitute for his presence.

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  • The number of emigrant Germans has enormously decreased of late years, Russia and Austria-Hungary now being most largely represented.

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  • There are various journals and periodicals, five languages being represented.

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  • During this trying period he represented his country with ability and tact, making every endeavour to strengthen the Union cause in Great Britain.

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  • His father was a middle-class landed proprietor and a decurion, who is represented as living at a place called Bannauenta.

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  • Fedilmid, a brother of the monarch, is represented as having made over his estate at Trim to the saint to found a church, and thus the faith was established within Loigaire's territory.

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  • Jahn, 2 the processes at the anode can be represented by the equations 2CH 3 000+H 2 0 =2CH3 000H+0 2 C H 3.

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  • Thus, if the molecule of a substance in solution is represented by AB, Grotthus considered a chain of AB molecules to exist from one electrode to the other.

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  • If the black ions move twice as fast as the white ones, the state of things after the passage of a current will be represented by the lower part of the figure.

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  • If some of the anions, instead of being simple iodine ions represented chemically by the symbol I, are complex structures formed by the union of iodine with unaltered cadmium iodide - structures represented by some such chemical formula as I(CdI 2), the concentration of the solution round the anode would be increased by the passage of an electric current, and the phenomena observed would be explained.

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  • To pass a steady current in the direction opposite to this electromotive force of polarization, the applied electromotive force E must exceed that of polarization E', and the excess E - E' is the effective electromotive force of the circuit, the current being, in accordance with Ohm's law, proportional to the applied electromotive force and represented by (E - E')/ R, where R is a constant called the resistance of the circuit.

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  • The properties of caoutchouc clearly show, however, that its actual molecular structure is considerably more complex than is represented by the empirical formula, and that it is to be regarded as the polymer of a terpene or similar hydrocarbon and composed of a cluster of at least ten or twenty molecules of the formula C5H8.

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  • He represented the antiFranco-Prussian portion of her council, and his object was to bring about an Anglo-Austro-Russian alliance which, at that time, was undoubtedly Russia's proper system, Hence the reiterated attempts of Frederick the Great and Louis XV.

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  • The silver fir (Abies sibirica, Pinus pectinata) and the stone-pine (P. Cembra) are quite common; they reach the higher summits, where the last-named is represented by a recumbent species (Cembra pumila).

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  • He represented " Centre " thought in Australian politics and for a long time was a reconciling influence between the Conservatives and the Labour party.

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  • The crystal represented in fig.

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  • As a war-goddess, she is the embodiment of prudent and intelligent tactics, entirely different from Ares, the personification of brute force and rashness, who is fitly represented as suffering defeat at her hands.

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  • The story of the slaying of Medusa by Athena, in which there is no certain evidence that she played a direct part, explained by Roscher as the scattering of the storm-cloud, probably arose from the fact that she is represented as wearing the Gorgon's head as a badge.

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  • She was represented standing, in a long tunic; on her head was a helmet, ornamented with sphinxes and griffins; on her breast was the aegis, fringed with serpents and the Gorgon's head in centre.

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  • In this she was represented without arms, as a brilliant type of virgin beauty.

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  • Brachiopods first appear in the Lower Cambrian, and reached their highest development in the Silurian, from which upwards of 2000 species are known, and were nearly as numerous in the Devonian period; at present they are represented by some 140 recent species.

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  • The borough was represented in parliament by one member in 12 9 5, and by two members from 1298 until disfranchised by the act of 1867.

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  • The town was formerly noted for serges, and in 1641 the inhabitants represented their distress owing to the decline of the woollen trade.

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  • Ternary and Higher Forms.-The ternary form of order n is represented symbolically by (aixl+a2x2+a3x3)' =a'; and, as usual, b, c, d,...

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  • His great reputation led to his being entrusted by the government with several missions; in 1865 he represented Prussia in the conference called at Frankfort to introduce a uniform metric system of weights and measures into Germany.

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  • In Burma the species is represented by the tsaine, or h'saine, in which the colour of the adult bulls is rufous fawn.

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  • The fifth daughter, Blanchefleur, is represented as the wife of Louis the Pious.

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  • During his absence he was elected member for King's Lynn, which he represented till October 1869, when he succeeded to the peerage.

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  • From 1891 to 1895 he represented the First Congressional District of Nebraska, normally Republican, in the national House of Representatives, and received the unusual honour of being placed on the important Committee on Ways and Means during his first term.

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  • This is known as the " broadside-on " position, and is represented in fig.

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  • In the same circuit is also included the induction coil E, which is used for standardizing the galvanometer; this secondary coil is represented in the diagram by three turns of wire wound over a much longer primary coil.

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  • Hopkinson pointed out that the greatest dissipation of energy which can be caused by a to-and-fro reversal is approximately represented by Coercive force X maximum induction fir.

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  • Working with two different specimens, he found that the hysteresis loss in ergs per cubic centimetre (W) was fairly represented by o 00125B 1 6 and o o0101B 1 ' 6 respectively, the maximum induction ranging from about 300 to 3000.

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  • The instrument is represented diagrammatically in fig.

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  • The results, together with the chemical analysis of each sample, are given in a table contained in this paper, some of them being also represented graphically.

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  • There was considerable hysteresis, the energy-loss per cycle being fairly represented by W =0.000549513 2 ' 238.

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  • This is represented in Limulus by the first gillbearing appendage.

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  • The first of these has, in Arachnids as in other Arthropods, its pair of appendages represented by the eyes.

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  • Lateral eyes, when present, represented by separate ocelli.

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  • It is represented by a full-sized tergal plate in the Pseudo-scorpiones.

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  • I, Sternite of the genital or first opisthosomatic somite; the prae-genital somite, though represented by a tergum, has no separate sternal plate.

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  • These contain also the Acts of Andrew and Matthew (or Matthias) in which Matthew (or Matthias) is represented as a captive in the country of the anthropophagi.

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  • He was the first Parthian king who entered into negotiations with Rome, then represented by Sulla, praetor of Cilicia (92 B.C.).

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  • The duke and duchess represented Queen Victoria at the coronation of the tsar Nicholas II.

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  • Forchhammer was a democrat in the best sense of the word, and from 1871 to 1873 represented the progressive party of Schleswig-Holstein in the German Reichstag.

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  • According to him, the myths arose from definite local (especially atmospheric and aquatic) phenomena, and represented the annually recurring processes of nature as the acts of gods and heroes; thus, in Achill (1853), the Trojan War is the winter conflict of the elements in that district.

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  • As a young and beautiful soldier, he is a favourite subject of sacred art, being most generally represented undraped, and severely though not mortally wounded with arrows.

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  • He is also sometimes represented as sprung from the earth.

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  • It contains 36 genera, many of which are north temperate and three are represented in Britain, viz.

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  • It contains 28 genera, several being represented in Britain.

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  • He represented Hampshire in the parliament of 1654, and Cambridge University in that of 1656, and in November 16J5 was appointed one of the council of trade.

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  • To Neolithic man, still perhaps represented by some of the more light-coloured and more regularfeatured Polynesian groups, may therefore not unreasonably be attributed these astonishing remains, which assume so many different forms according to the nature of the locality, but seem generally so out of proportion with the present restricted areas on which they stand.

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  • Actually, only some foreign counts could be said to be equivalent to English earls; but "earl" is always translated by foreigners by words (comte, Graf) which in English are represented by "count," itself never used as the synonym of "earl."

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  • In the 5th century the "sacred bounties" corresponded to the aerarium of the early Empire, while the res privatae represented the fisc. The officers connected with the palace and the emperor's person included the count of the wardrobe (comes sacrae vestis), the count of the residence (comes domorum), and, most important of all, the comes domesticorum et sacri stabuli (graecized as Kowis Tou o-Ta,3Xov).

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  • The only Mesozoic system which is represented in Brazil by marine beds is the Cretaceous, and the marine facies, is restricted to the coasts and the basin of the Amazon.

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  • The opossum (Didelphis) is represented by three or four species, two of which are so small that they are generally called wood rats.

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  • The pachyderms are represented by three species of the peccary (Dicotyles) and two of the anta, or tapir (Tapirus).

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  • The thrush is represented by a number of species, one of which, the sabia (Mimus), has become the popular song-bird of Brazil through a poem written by Gonsalves Dias.

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  • The gallinaceous birds are well represented, especially in game birds.

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  • Spiders are represented by a very large number of species, some of which are beautifully coloured.

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  • Biscuit-making is represented by a large number of factories, for the most part in Rio de Janeiro and Sao Paulo, and there are a number of breweries of the most modern type in the same two states.

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  • The supreme powers of the nation are vested in three partially independent branches of government - executive, legislative, and judicial - represented by the president and his cabinet, a national congress of two chambers, and a supreme tribunal.

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  • The naval strength of the republic consisted in 1906 of a collection of armoured and wooden vessels of various ages and types of construction, of which three armoured vessels (including the two designed for coast defence), four protected cruisers, five destroyers and torpedo-cruisers, and half a dozen torpedo boats represented what may be termed the effective fighting force.

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  • Secondary and higher education are under both federal and state control, the former being represented by lyceums in the state capitals, and by such institutions as the Gymnasio Nacional (formerly Collegio Dom Pedro II.) in Rio de Janeiro.

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  • In a temperate and learned speech, based on Fox's declaration against constitution-mongering, he supported both the enfranchising and the disfranchising clauses, and easily disposed of the cries of "corporation robbery," "nabob representation," "opening for young men of talent," &c. The following year (1832) found Campbell solicitor-general, a knight and member for Dudley, which he represented till 1834.

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  • The fact is that the Montanists represented the conservatism of their day, and even now the Roman Church admits the right of laymen to baptize when a priest cannot be had.

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  • Nor do Scottish presbyterians now recognize any special class of doctors, unless we suppose that these are represented by professors of theology.

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  • Unfortunately, however, the brilliant epoch of the alliance of Liberalism and Catholicism, represented on its literary side by Chateaubriand and by Lamartine, to whose poetic school Herculano had belonged, was past, and fanatical attacks and the progress of events drove this former champion of the Church into conflict with the ecclesiastical authorities.

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  • Several styles are represented in its architecture which for the most part is the work of the 11th, 12th and 13th centuries; the eastern apse and the tower date from the reign of Louis XV.

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  • In the Cape this gap is represented by the Witteberg and Bokkeveld series.

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  • It is now represented in the Union Parliament by eight senators and seventeen members of the House of Assembly.

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  • The burghers represented that they were under the protection of Holland, but this plea was peremptorily rejected by the commander of the British forces.

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  • In that year the external trade of Natal, almost entirely with Cape Colony, was of the total value of 42,000 - of which 32,000 represented imported goods.

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  • The press promulgated the wildest alarms as to the intentions of Louis Napoleon, who was represented as contemplating a sudden and piratical descent upon the English coast without pretext or provocation.

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  • North-western Mongolia was formerly represented as a region intersected by lofty mountain chains.

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  • The third period is represented by the Second Mediterranean stage of Suess,, during which the sea again entered the Hungarian plain and formed true marine deposits.

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  • It was still, however, essentially an assembly of notables, lay and clerical, at which the gentry, though technically eligible, do not seem to have been directly represented.

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  • It marks the dawn of a public spirit as represented by the gentry, who, alarmed at the national peril and justly suspicious of the ruling magnates, unhesitatingly placed their destinies in the hands of Hunyadi, the one honest man who by sheer merit had risen within the last ten years from the humble position of a country squire to a leading position in the state.

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  • They were never fairly represented in the royal council, they were excluded as far as possible from commands in Hungarian regiments, and were treated, generally, as the members of an inferior and guilty race.

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  • It was a mere rump, for wholesale executions had thinned its numbers and the reconquered countries were not represented in it.

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  • From henceforth the military and civil authorities, as represented by Kossuth and Gdrgei, were hopelessly out of sympathy with each other, and the breach widened till all effective co-operation became impossible.

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  • Had this attitude represented the temper of the whole Hungarian people, it would have been impossible for the crown to have coped with it.

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  • The grammatical forms are expressed, as in Turkish, by means of affixes modulated according to the high or low vowel power of the root or chief syllables of the word to which they are appended-the former being represented by e, o, S, ii, i l l, the latter by a, d, o, 6, u, it; the sounds e, i, i are regarded as neutral.

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  • S is pronounced as sh in English, the sound of simple s being represented by sz.

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  • Not without interest to Englishmen is the name of Gabriel Dobrentei (q.v.), the translator of Shakespeare's Macbeth, represented at Pozsony in 1825.

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  • As popular plays the Sdrga csiko (Bay Foal) and A giros bugyelldris (The Red Purse), by Francis Csepreghy, have their own special merit, and were often represented in 1878 and 1879 at Budapest and elsewhere.

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  • The first is represented almost exclusively by Maurus Jokai (q.v.).

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  • To the school so perfectly represented by 3 This will appear even more striking by a consideration of the number of periodical publications published in Hungary in languages other than Magyar.

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  • Realism, more particularly of the Wundt type, is represented by Emericus Pauer, Az ethikai determinismus (" Ethical Determinism "), and Eugen Posch (Az idorb'l, " On Time ").

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  • An exceptional type in the order is represented by Humbertia, a native of Madagascar, which forms a large tree.

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  • The conclusion to which they are represented as coming is that they will live together in charity and toleration, and cease from further disputation as to religion.

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  • The distinction between algebraical and arithmetical reasoning then lies mainly in the fact that the former is in a more condensed form than the latter; an unknown quantity being represented by a special symbol, and other symbols being used as a kind of shorthand for verbal expressions.

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  • It must be remembered that, if a is a number, 3a means 3 times a, not a times 3; the latter must be represented by aX3 or a.

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  • There are also cases in which graphics and mensuration are used jointly; a variable numerical quantity is represented by a graph, and the principles of mensuration are then applied to determine related numerical quantities.

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  • One of the relations most commonly illustrated in this way is the time-relation; the passage of time being associated with the passage of a point along a straight line, so that equal intervals of time are represented by equal lengths.

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  • Y is represented by the length of the ordinate NP, so that the representation is cardinal; but this ordinate really corresponds to the point N, so that the representation of X is ordinal.

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  • Graphic representation thus rests on the principle that equal numerical quantities may be represented by equal lengths, and that a quantity mA may be represented by a length mL, where A and L are the respective units; and the science of graphics rests on the converse property that the quantity represented by pL is pA, i.e.

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  • The result of the extension is that the number or quantity represented by any symbol, such as P, may be either positive or negative.

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  • Taking any number n to be represented by a point on a line at distance nL from a fixed point 0, where L is a unit of length, we start with a series of points representing the integers I, 2, 3,.

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  • The next step is to suppose that fractional numbers are represented in the same way.

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  • Complex numbers are conveniently treated in connexion not only with the theory of equations but also with analytical trigonometry, which suggests the graphic representation of a+b,l - by a line of length (a 2 +b 2)i drawn in a direction different from that of the line along which real numbers are represented.

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  • Associated with these new units there is a system of extensive quantities of the second species, represented by symbols of the type = Ei 121 [i=I, 2,...zn(n - I)].

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  • Franciscus Vieta (Francois Viete) named it Specious Arithmetic, on account of the species of the quantities involved, which he represented symbolically by the various letters of the alphabet.

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  • In another account, the battle is represented as having resulted in a complete victory for Diocletian.

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  • Sometimes they are represented as numbering twelve, sometimes twenty-seven, or they are innumerable.

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  • Thus Badakshan reaches out an arm into the Pamirs eastwards - bottle-shaped - narrow at the neck (represented by the northern slopes of the Hindu Kush), and swelling out eastwards so as to include a part of the great and little Pamirs.

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  • The Yugosla y s were represented by Trumbic and his Committee and by 12 deputies of the Serbian Skupstina, the Czechoslovaks by Benes and Stefanik, the Poles by Zamorski, Skirmunt and Seyda, the Rumanians by Draghicescu, Lupu and Mironescu.

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  • Another important factor in the present condition of zoological knowledge as represented by classification is the doctrine of degeneration propounded by Anton Dohrn.

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  • These subdivisions of the larger groups are not necessarily those theoretically approved by the present writer, but they have the valuable sanction of the individual experts who have given special attention to different of the vast field represented by the animal kingdom.'

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  • In such a series each term may be regarded as very nearly indeed destroyed by the halves of its immediate neighbours, and thus the sum of the whole series is represented by half the first term, which stands over uncompensated.

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  • If the image of the line be =o, the intensity at any point E, n of the diffraction pattern may be represented by ?2a2t2 S A2f2 the same law as obtains for a luminous point when horizontal directions are alone considered.

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