L sentence example

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  • He contributed to the Antologia, a celebrated Florentine review, and in 1847 founded a newspaper called L' Italia, the programme of which, was "Reform and Nationality."
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  • Following the example of Bill Bader, for example, lets you figure out how to use just the right amount of abbreviation (usually for left and right as L and R), while at the same time using words like "vine" to indicate a "grapevine step".
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  • The l.
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  • at Munich, 1729; also a good selection by L.
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  • L & G Point Cross Stitch Gallery: At this site, you can find original free cross stitch patterns to print on line, including famous masterpieces, such as Renoir, Murillo, Cezanne, Monet, Gauguin, Van Gogh, Lautrec, Degas, and Whistler.
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  • Farrell went on to make American Outlaws, Hart's War (with Bruce Willis), Minority Report (opposite Tom Cruise), Phone Booth, The Recruit (with Al Pacino), Daredevil (starring Jennifer Garner and Ben Affleck), and S.W.A.T (with Samuel L.
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  • 18, where L is the line wire, joined through the 7 t?
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  • 21 shows the general arrangement of the connexions for doublecurrent working; the galvanometer G is used for the purpose of L.
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  • The company further pointed out that Mr L.
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  • If L and N are the inductances of any two circuits which have a coefficient of mutual inductance M, then M/-/ (LN) is called the coefficient of coupling of the circuits and is generally expressed as a percentage.
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  • It can be shown that if two circuits, both having capacity (C) and inductance (L), are coupled together inductively, then, when oscillations are set up in one circuit, oscillations of two periods are excited in the other differing in frequency from each other and from the natural frequency of the circuit.
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  • The adult worm, which is of extremely minute size, the male being only Fi l sth and the female s of an inch in length inhabits the alimentary canal of man and many other carnivorous mammalia; the young bore their way into the tissues and become encysted in the muscles - within the muscle-bundles according to Leuckart, but in the connective tissue between them according to Chatin and others.
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  • pp. 32, 33; L.
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  • I - L ' 'M -- -?
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  • (1898); L.
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  • Fleming, 14 L.
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  • 15 L.
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  • If, however, one electrode of this cell is connected to the earth and the other to a receiving antenna and electric waves allowed to fall on the antenna, the oscillations passing through the electrolytic cell will remove the polarization and L temporarily decrease the resistance of the cell.
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  • This last circuit has a natural frequency of its own which is numerically measured by I/27r-!(CL), where C is the capacity of the condenser and L is the inductance of the circuit.
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  • A proposal was made by L.
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  • 5824) mentions a priest whose functions are characteristic of the place "L.
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  • The microphonic arrangement consisted of a spring S, about the hundredth of an inch thick and the eighth of an inch broad, fixed at one end to a lever L, and carrying at its free extremity a brass block W.
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  • by L.
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  • The institutions which co-operate with the universities are the special schools for engineers at Turin, Naples, Rome and Bologna (and others attached to some of the universities), the higher technical institute at Milan, the higher veterinary schools of Milan, Naples and Turin, the institute for higher studies at Florence (Istituto di studi superiori, pratici e di perfezionamento), the literary and scientific academy of Milan, the higher institutes for the training of female teachers at Florence and Rome, the Institute of Social Studies at Florence, the higher commercial schools at Venice, Ban and Genoa, the commercial university founded by L.
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  • In 1845 several outbreaks occurred, and a band led by Pietro Renzi captured Rimini, whence a proclamation drawn up by L.
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  • Pasolini, L.
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  • But on the I4th of June the municipality formed a provisional government and proclaimed annexation to Piedmont; L.
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  • in in spite of extreme severity, justifiable in the circumstances, it l four ot fIve years completely to suppress the movement.
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  • See also Zinis Storia d Italic (4 vols., Milan, 1875); Gualterios Gil ultimi rivolgimenti italiani (4 vols., Florence, 1850) is important for the period from 1831 to 1847, and so also is L.
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  • Cosci, L Italia durante le preponderanze straniere, 1530-1789 (1875): A.
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  • Ramondini, L Italia durante la dominazione francese (Naples, 1882); E.
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  • von Reumonts Geschichte der Stadt Rom (Berlin, 1867), L.
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  • From the point of view of papal history, L.
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  • Creightons History of the Papacy (London, 1897) and L.
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  • Porcius Cato historical composition He is not to be confused with L.
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  • Thus, L.
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  • Peter, Zur Kritik der Quellen der dlteren rOmischen Geschichte (1879); L.
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  • Winckler.2 Of more assured importance was the Zoroastrian faith - " pure moral dualism if not theism " (L.
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  • The Roman government declined to accede to these arrangements, and L.
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  • Chapter L.
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  • In addition to Blackstone, Coke and these later writers, the following works may also be consulted: John Reeves, History of English Law (1783-1784); L.
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  • A, B, C, D, F, Successub -umbra l sive stages in vercavity.
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  • The planula may fix itself (I) by one end, and then becomes the hydrocaulus and hydranth, while the hydrorhiza grows out from the base; or (2) partly by one side and then gives rise to Modified from a plate by L.
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  • - Tiara pileata, L.
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  • ' As Billion has well said: - " L'idee de ramener l'explication de tons les phenomenes a des principes mecaniques est assurement grande et belle,ce pas est le plus hardi qu'on peut faire en philosophic, et c'est Descartes qui l'a fait."
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  • Somewhat later, P. L.
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  • On his philosophical views see L.
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  • Thus, in 376, L.
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  • In 399, L.
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  • Stillingfleet, Ecclesiastical Jurisdic t ion (1704); L.
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  • van Espen, Jus ecclesiasticism universum (Louvain, 1720), De recursu ad Principem, observationes in Concilium Lateranense iv.; L.
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  • The typical lemurs include species like Lemur mongoz and L.
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  • Most are arboreal, but the ring-tailed lemur (L.
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  • In some cases, as in the black lemur (L.
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  • macaco) the two sexes are differently coloured; but in others, especially the ruffed lemur (L.
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  • Junius Rusticus, and of the other L.
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  • Fourcroy and L.
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  • He managed the dictator's private affairs during his absence from Rome, and, together with L.
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  • Molybdenum dioxide, Mo02, is formed by heating sodium trimolybdate, Na2M03010, to redness in a current of hydrogen (L.
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  • Molybdenum pentachloride, MoC1 5r is obtained when molybdenum is gently heated in dry chlorine (L.
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  • Jerome, Priscian and others attributed the work to Cicero (whose De inventione was called Rhetorica prima, the Auctor ad Herennium, Rhetorica secunda), while the claims of L.
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  • The best modern editions are by C. L.
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  • Gruppe in Roscher's Lexikon der Mythologie and by P. Monceaux in Daremberg and Saglio's Dictionnaire des antiquites; " Orphia " in Smith's Dictionary of Greek and Roman Antiquities (3rd ed., 1891), by L.
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  • L, Optical section of cell of parenchyma in the same moss.
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  • ~ l,~ ~s~ ~
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  • 2, L), a nucleolus appears, a nuclear membrane is formed, and daughter nuclei are thus constituted which possess the same structure and staining reactions as the mother nucleus.
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  • In the ascending stream may be mentionedLarrea, a small genus of Zygophylleae with headquarters in Paraguay and Chile, of which one species, L.
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  • The divisions of the earth into faunal regions by Dr P. L.
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  • Marius had died in 86, and the revolutionary party, specially represented by L.
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  • Zacharia, L.
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  • (1900); L.
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  • Bonney, Cambridgeshire Geology (1875); L.
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  • (1855); and L.
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  • Schultergurtel (Leipzig, 1864-1865); P. Harting, L'A ppareil episternal des oiseaux (Utrecht, 1864); T.
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  • Serres, Anatomie comparee du cerveau (Paris, 1824, 4 pls.); L.
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  • But the carotids show several interesting modifications which have been examined chiefly by C. L.
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  • 179 B (1888), pp. I11 -141; L.
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  • P. L.
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  • ' P. L.
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  • 1600 (in c l.
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  • (C) Arctogaea is Huxley's well-chosen term for all the rest of the world (including the Nearctic, Palaearctic, Indian and Ethiopian regions of P. L.
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  • The propriety of comprehending this enormous tract in one zoological " region " was first shown by Dr P. L.
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  • in the story of the historical Sargon (L.
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  • Ritter and L.
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  • Max Muller, "On Ancient Prayers," in Semitic Studies in Memory of Rev. Dr Alexander Kohut (1897); L.
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  • The biblical commentary was translated into Latin by Breithaupt (Gotha, 1710-1714), that on the Pentateuch rather freely into German by L.
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  • 1891), was a poet and moderate liberal; L.
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  • 1874), critic of the first rank; L.
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  • 1884) and L.
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  • DACE, DARE, or Dart (Leuciscus vulgaris, or L.
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  • L'HOPITAL (or L'[[Hospital), Michel De]] (c. 1505-1573), French statesman, was born near Aigueperse in Auvergne (now Puy-de-Dome).
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  • der Normannen in Sicilien (Stuttgart, 1889); L.
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  • was translated into English by L.
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  • See fragments in L.
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  • A mean degree of the meridian being assumed to be 69-09 statute miles of 5280 ft., the nautical mile (A l b - degree) is taken as 6080 ft., which is a sufficiently close approximation for practical purposes, and the distances between the knots are made to bear the same relation to 6080 ft.
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  • !L officer, and the latter is an official journal.
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  • By the action of dilute hydrochloric acid on metallic polysulphides, an oily product is obtained which C. L.
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  • Hofmann, who obtained it by saturating an alcoholic solution of ammonium sulphide with sulphur and mixing the product with an alcoholic solution of strychnine, considered the resulting product to be H2S3; while P. Sabatier by fractionating the crude product in vacuo obtained an oi l which boiled between 60° and 85° C. and possessed the composition H4S5.
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  • Heath's sketch of Indianapolis in L.
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  • He is an ardent royalist in politics, and was one of the group which in 1908 founded the royalist organ L' Action Francaise.
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  • The most important fragment published by Hilgenfeld (p. 207), part of the 13th book of the Exegetica, in the Acta Archelai et Manetis c. 55, only became known in its complete form later, and was published by L.
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  • vi., London, 1899); and L.
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  • Classical anatomical memoirs are those of L.
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  • America, Washington, Smithsonian Inst., 1883); L.
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  • Jacoby, L.
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  • On his theology: C. Frassen, Scotus Academicus (1744, new edition, 1900); Hieronymus de Montefortino (Jerome de Fortius), Scoti summa theologica (1728-1738, new edition, 1900); L.
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  • l Bibliography: Memoirs, Izvestia and Geological Maps of the Committee for the Geological Survey of Russia; Memoirs and Sborniks of the Mineralogical Society, of the Academy of Science and of the Societies of Naturalists at the Universities; Mining Journal; Murchison's Geology of Russia; Helmersen's and MSller's Geological Maps of Russia and the Urals; Inostrantsev in Appendix to Russian translation of Reclus's Geogr.
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  • ': opal e ° °o T A R ple ' ag a ',ap iJ,wl Karkinit A C K r B L Scale, English Miles D S E A 32 Stavropol P O L A PI A N L A s E Derbent ° I?
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  • The willow-grouse (Lagopus albus), the ptarmigan (L.
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  • As protector Nicholas of the Orthodox Christians he espoused the cause of L and the the rayahs in Greece, Servia and Rumania.
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  • There is a French translation by L.
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  • (C. L.
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  • Johnson, American Railway Transportation (New York, 1908); L.
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  • If the energy supplied is distributed between several axles the relation becomes l l 2 3 w 3.
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  • The weight W 1 carried by the part of the frame supported by the wheel (whose diameter is D) is transmitted first to the pins P 1, P2, which are fixed to the frame, and then to the spring links L 1, L2, which are jointed at their respective ends to the spring S, the centre of which rests on the axle-box.
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  • Also let l be the length of the stroke in feet and let a be the area of one cylinder in square inches, then, assuming two cylinders of equal size, I.H.P. =2 planl550 (8) The I.H.P. at any instant is equal to the total rate at which energy is required to overcome the tractive resistance R.
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  • Aspinall's results are expressed by the formula S 5+ 50.8 12 r„ =2 -}-0 0278,L where r ro is the resistance in pounds per ton, S is the speed in miles per hour, and L is the length of the train in feet measured over the carriage bodies.
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  • 17, four values of L being taken for formula (12) corresponding to trains of 5, 10, 15 and 20 bogie carriages.
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  • - Smoke-box, L.
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  • The heavy sparks are projected from the tubes in straight lines and are caught by the louvres L, L, L, and by them deflected downwards to the bottom of the smoke-box, where they collect in a heap in the space D round a tube which is essentially an ejector.
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  • The louvres 1, 1, l are placed to shield the central region occupied by the blast-pipe.
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  • The torque;?i H ti l ' --- L-- - -Tt FIG.
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  • If h is the water heat at the lower temperature, h l the water heat at the higher temperature, and L the latent heat at the higher temperature, the heat supply per pound of steam is equal to h1 - h2+L1, which, from the steam tables, with the values of the temperatures given, is equal to 1013 B.Th.U.
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  • Such l i nes are primarily intended to supply quick means of passenger communication within the limits of cities, and are to be distinguished on the one hand from surface tramways, and on the other from those portions of trunk or other lines which lie within city boundaries, although the latter may incidentally do a local or intra-urban business.
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  • In France the doctrine of successive reincarnations with intervals of spirit life promulgated by Allan Kardec (L.
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  • In the first place, L.
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  • (d) For L.
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  • Smith, Religion of Semites; L.
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  • Marillier, Revue de l'h.
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  • For Greece and Rome see L.
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  • Johnson, Thoughts on the late Transactions respecting Falkland's Islands (1771); L.
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  • Ermoni, L' Agape (Paris, 1904); G.
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  • Christianorum Agapis (Giesse, 1824); L.
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  • Boyd, Our Stolen Summer (London, 1900); L.
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  • p. 92; or in L.
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  • 4; monographs by L.
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  • I also read Tibullus, Catullus, Propertius, Horace (with Dacier's and Torrentius's notes), Virgil, Ovid's Epistles, with l"leziriac's commentary, the Ars amandi and the Elegies; likewise the Augustus and Tiberius of Suetonius, and a Latin translation of Dion Cassius from the death of Julius Caesar to the death of Augustus.
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  • (Paris,1853); also article by L.
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  • Frazer takes the epithet to mean " bearer of the sacred objects deposited on the altar "; L.
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  • Harrison, Prolegomena to the Study of Greek Religion (1903); L.
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  • 168-222; L.
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  • 2 (1901); L.
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  • (1907); L.
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  • The first volume was expanded into three volumes, La Gaule romaine (1891), L' Invasion germanique et la fin de l'empire (1891)and La Monarchie franque(1 888), followed by three other volumes, L'Alleu et le domaine rural pendant l'epoque merovingienne (1889), Les Origines du systeme feodal: le benefice et le patronat..
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  • Taylor, Owen Roe O'Neill (London, 1896); John Mitchell, Life and Times of Hugh, Earl of Tyrone, with an Account of his Predecessors, Con, Shane, Turlough (Dublin, 1846); L.
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  • Laplace, P. L.
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  • The era of the Temple of Jerusalem starts with a new regime, another captain of the army L EWS [OLD Testament History and another priest.
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  • The English Jews " gradually substituted for the personal protection of the crown, the sympathy and confidence of the nation " (L.
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  • Isaac Artom was Cavour's secretary, L' Olper a counsellor of Mazzini.
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  • Low, Jellinek, Kaufmann, as scholars in the Jewish field; as poets and novelists, Kompert, Franzos, L.
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  • 5 vols., 1891-1892); the works of L.
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  • The scientific determination of the Quetzal-bird of Central America seems to have been first made by C. L.
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  • 0111vier's work quoted in the text, see L.
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  • Lower Cretaceous limestones and schists, with radiolarian cherts, are extensively developed; and in many parts of the island Upper Creta 1 See L.
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  • Halbherr on behalf of the Italian Archaeological Mission and subsequently carried out by L.
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  • It is evident that in this case also the palace was overtaken by a great catastrophe, followed by a partial reoccupation towards the close of the Late Minoan age (L.
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  • General View Oft 'Il Sll L 1 RUM i tiL LA I.
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  • P. TSChackert, Peter von Ailli (Gotha, 18 77); L.
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  • C. L.
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  • Helfferich, Die christliche Mystik (1842); L.
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  • Other ants, such as the British black garden species (L.
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  • The letter L indicates the position of the labellum; the large figures indicate the developed stamens; the italic figures show the position of the suppressed stamens.
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  • I 4 5 6 2 L 3 2 L 3 Arrangement of stamens Arrangement of stamens in Orchis.
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  • Further matter of interest in connexion with the Oxus basin was elucidated by the researches of L.
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  • E Arabian Sea Ba Of G A L e Geological information incomplete Desert Deposits Quaternary Tertiary Mesozoic Palaeozoic Archaean and Metamorphic Younger Volcanic Rocks English Miles b iuHi iiiiuiiiiii after llargl,aua Geology The geology of Asia is so complex and over wide areas so little known that it is difficult to give a connected account of either the structure or the development of the continent, and only the broader features can be dealt with here.
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  • Beaulieu (Memoire adressee a la nation, 1795), of L.
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  • St L.
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  • Arenicola marina, L.
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  • Andrews, L.
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  • Horst, L.
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  • Other published correspondence is Lettres de Mirabeau a Chamfort (1796); Lettres du comte de Mirabeau b Jacques Mauvillon (Brunswick, 1792); Lettres originates de Mirabeau, ecrites du donjon de Vincennes, 1777-178Q, published by L.
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  • Bion, Traite des instrumens de mathematique; also L' Usage des globes celestes; Sedillot, Memoire sur les instrumens; J.
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  • Willmott (1847), George L.
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  • A more correct text is that published by L.
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  • pp. 330-392; L.
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  • Bateman, Vestiges of the Antiquities of Derbyshire (London, 1848); L.
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  • But the Romans followed up their success by attacking Antiochus in Asia Minor, and the decisive victory of L.
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  • At his death the work fell to Professor L.
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  • Biot and L.
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  • ks4 ks:L FIG.
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  • Epipodial fila L ments present; one or two pallial tentacles.
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  • - P l e u r o c e r i d a e.
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  • A l a r i a, Spinigera, Diartema, extinct.
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  • l', The ciliated communication of the renal sac with the pericardium.
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  • 449-57; L.
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  • General du Teil, younger brother of the baron, had recently published a work, L' Usage de l'artillerie nouvelle; and it is now known that Bonaparte derived from this work and from those of Guibert and Bourcet that leading principle, concentration of effort against one point of the enemy's line, which he had advocated at Toulon and which he everywhere put in force in his campaigns.
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  • It has been supplemented by the *Lettres inedites de Napoleon I?*, edited by L.
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  • Sorel, Bonaparte et Hoche en 1797; L.
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  • Aulard, Paris sous le Consulat (Paris, 1903, seq.); L.
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  • The same remark applies to Mrs L.
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  • Meyer, L.
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  • Engels, L.
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  • Kahler, Julius Muller (1878); L.
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  • There is no reunion of the second polar nucleus with the female pronucleus, but, according to the recent work of L.
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  • This, however, is not the case, because the greater part of the transformation precedes the disclosure of the pupa, which, as L.
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  • (London, 1895-1899); L.
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  • Carpenter, Insects: their Structure and Life (London, 18 99); L.
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  • xiv., 1884); L.
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  • Digestive System, &c. - L.
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  • Wheeler (Psyche vi., 1893); L.
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  • xv., 1865); L.
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  • [4], ii., 1904); L.
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  • Lubbock (Lord Avebury), Origin and Metamorphosis of Insects (London, 1874); L.
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  • C. Miall (Nature, liii., 1895); L.
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  • In 1773 P. L.
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  • The little fly-sheet of Zorn l - for it is scarcely more - on the birds of the Hercynian Forest made its appearance at Pappenheim in 1745.
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  • After his death in 1859, the explanatory letterpress was rewritten by P. L.
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  • The claim to that succession was made in 1845 by Des Murs for his Iconographie ornithologique, which, containing seventy-two plates by Prevot and Oudart l (the latter of whom had marvellously improved in his drawings since he worked with Vieillot), was completed in 1849.
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  • More germane to our present subject are the Osteographische Beitrage zur Naturgeschichte der Vogel of C. L.
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  • [[Aves Carinatae [L'H]].
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  • Accipitrinae [L'H.
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  • Passerinae [L'H.
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  • Macrochires [L'H.
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  • Cuculinae [L'H.
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  • Picinae [L'H.
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  • Psittacinae [L'H.
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  • Lipoglossae [L'H.
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  • Amphibolae [L'H.
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  • Columbinae [L'H.
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  • Gallinaceae [L'H.
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  • Alectorides (=Dicholophus+Otis) [L'H.
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  • Gruinae [L'H.
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  • Fulicariae [L'H.
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  • Herodiae [L'H.
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  • Pelargi [L'H.
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  • Odontoglossi (= Phoenicopterus) [L'H.
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  • Limicolae [L'H.
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  • Longipennes [L'H.
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  • Nasutae [L'H.
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  • Unguirostres [L'H.
    0
    0
  • Steganopodes [L'H.
    0
    0
  • Pygopodes [L'H.
    0
    0
  • [[Aves Ratitae [L'H]].
    0
    0
  • So long ago as 1831, Prince C. L.
    0
    0
  • These terms were explained in his great work L' Organisation du regne animal, oiseaux, begun in 1855, to mean exactly the same as those applied by Merrem to his two primary divisions.
    0
    0
  • In 1880 Dr P. L.
    0
    0
  • The volume on birds was written by Dr L.
    0
    0
  • Geminiano and built a new block at the west end of the square, L.
    0
    0
  • Dissatisfaction with the President's emancipation programme resulted in the election of a Democratic Congressional delegation in 1862, but the tide turned again after Gettysburg and Vicksburg; Clement L.
    0
    0
  • Hayes.1876-1877Thomas L.
    0
    0
  • Fairlie, "The Municipal Crisis in Ohio," in the Michigan Law Review for February 1903; and Thomas L.
    0
    0
  • 79; Calmet, Dissertation sur les esprits; Maury, La Magie; L.
    0
    0
  • von Hamel, Discovery of Lakes Rudolf and Stefanie (London, 1894); L.
    0
    0
  • Garrison and Charles Devens by Olin L.
    0
    0
  • Hale, Historic Boston and its Neighbourhood (New York, 1898), and L.
    0
    0
  • Bynner, to L.
    0
    0
  • Many anatomical and developmental details were carefully worked out by L.
    0
    0
  • Lubbock (Lord Avebury) and L.
    0
    0
  • Valuable summaries of the labours of Malpighi, Swammerdam and other early entomologists are given in L.
    0
    0
  • Denny's Cockroach (London, 1886), and L.
    0
    0
  • As to the northern basin, the configuration .of its bottom is in accordance with the high mountains which 1 See L.
    0
    0
  • Country of origin,Tropical America - (I) G.barbadense, L.
    0
    0
  • hirsutum, L.
    0
    0
  • herbaceum, L.
    0
    0
  • arboreum, L.
    0
    0
  • 51765Hn 5 11 l;t 1 5 41R i 11 41?11 41t111 511-6n 41?
    0
    0
  • The synthesis of citric acid was accomplished by L.
    0
    0
  • See D'Arbois de Jubainville, Les Druides et les dieux celtiques a forme d'animaux (Paris, 1906), and Introduction a l'e'tude de la litterature celtique (Paris, 1883); P. W.
    0
    0
  • Leo Abarbanel and Jochana,n Aleman - see L.
    0
    0
  • Wiegand, Neanders Leben (1889); L.
    0
    0
  • (London, 1902); P. Villari, The Barbarian Invasions of Italy, translated by L.
    0
    0
  • I L ?'
    0
    0
  • l Provincial Capitals -heung Biroughton Bay f of Koreg i I ?ua re° o 9 ong-ch-h'dn s.; Chiiin g?'
    0
    0
  • The drilling " crew " consists of two drillers Wel l .
    0
    0
  • Two years later, however, L.
    0
    0
  • Beeby Thompson, Petroleum Mining (1910); L.
    0
    0
  • Kugler's Geschichte der Kreuzziige (in Oncken's series) still remains a suggestive and valuable work; and L.
    0
    0
  • (1903); L.
    0
    0
  • Even at this early period he had conceived the idea of founding a physical and chemical scientific journal, and the realization of this plan was hastened by the sudden death of L.
    0
    0
  • The fibrous nervetissue is more dense in the higher differentiated, more loose and spongy in the lower organized 1P L forms; the cellular nerve-tissue is FIG.
    0
    0
  • Burger even goes so far as to homologize the proboscis with the Turbellarian " Einige Bemerkungen zur Metamorphose des Pilidium," Archir far Naturgeschichte (1873); L.
    0
    0
  • (1887); L.
    0
    0
  • Against the advice of his relatives and friends he adopted L.
    0
    0
  • Ceionius Commodus under the name of L.
    0
    0
  • Annius Verus (afterwards the emperor Marcus Aurelius) and the son of L.
    0
    0
  • Aelius Caesar, L.
    0
    0
  • (Berlin, 1875); L.
    0
    0
  • L Eta°dO ® v O ' F Fernandina S1E,
    0
    0
  • ' °° p Q; i r ' Afayette A(l.
    0
    0
  • L A dames, ?
    0
    0
  • Iivernesso TsalaApopl sa L
    0
    0
  • a _ P3 O i L?mK, artry/.
    0
    0
  • L?ha;an ?
    0
    0
  • -,; g ce Ft.Pi@r / G viJ?l 5 tS 5 An adia?i f ?D t 0 1 .
    0
    0
  • 46), L.
    0
    0
  • Marcellus L.
    0
    0
  • Francis P. Fleming Henry L.
    0
    0
  • A fragment of this was published under the title IIepi 7rapab6 cov µrXambuirrwv by L.
    0
    0
  • Its consonants are k, g, ng, ch, j, n, t, d, n, p, b, m, y, r, l, w, s, h.
    0
    0
  • Its Arabic title is Kitab ul'Ibar, wa diwan el Mubtada wa'l Khabar, fi ayyamul`Arab wa'l`Ajam wa'l Berber; that is, "The Book of Examples and the Collection of Origins and Information respecting the History of the Arabs, Foreigners and Berbers."
    0
    0
  • Stadt Basel im Mittelalter (1860), and Rechtsquellen von Basel (2 vols., 1856-1865); L.
    0
    0
  • Stocker, Basler Stadtbilder (1890); L.
    0
    0
  • There were four entrances through the railing, facing the cardinal points, and each one protected by the railing coming out at right angles, and then turning back across it in the shape of the letter L.
    0
    0
  • Peter, Historicorum Romanorum fragmenta (1883); see also monographs by L.
    0
    0
  • A work published under the name of L.
    0
    0
  • Thus the pseudo-Democritus, who was reputed the author of the Physica et Mystica, which itself concludes each of its receipts with a magical formula, was believed to have travelled in Chaldaea, and to have had as his master Ostanes l the Mede, a name mentioned several times in the Leiden papyrus, and often by early Christian writers such as Tertullian, St Cyprian and St Augustine.
    0
    0
  • The first edition of these two sources, and of Lanfranc's writings, is that of L.
    0
    0
  • C. L.)
    0
    0
  • The adult female of L.
    0
    0
  • Hahn, Jahrbi cher des frankischen Reiches 741-752 (Berlin, 1863); L.
    0
    0
  • These early fortifications of the Acropolis, ascribed to the primitive non-hellenic Pelasgi, must be distinguished from the Pelasgicum or Pelargicum, which was in all prob ab i l i ty an encircling wall, built round the base of the g citadel and furnished with nine gates from which it derived the name of Enneapylon.
    0
    0
  • In the centre was the Agora of Hippodamus; on the western margin of the Cantharus harbour extended the emporium, or Digma, the centre of commercial activity, flanked by a series of porticoes; at its northern end, near the entrance to the inner harbour, was another Agora, on the site of the modern market-place, and near it the µa?cp l OTOa, the corn depot of the state.
    0
    0
  • Wilamowitz-Moellendorff, Aus Kydathen (Berlin, 1880); L.
    0
    0
  • Michaelis, Der Parthenon (texts and plates, Leipzig, 1871); L.
    0
    0
  • Gutbier and L.
    0
    0
  • Joly, Comptes rendus, 1888, 107, p. 994; 1889, 108, pp. 8 54, 1300; 1890, III, p. 969; L.
    0
    0
  • No more is known of the place until it appears as Germanicia-Caesarea, striking imperial coins with the head of L.
    0
    0
  • O'L.) entry the value of imports in 1918 was $6,391,960.
    0
    0
  • Bibliography.-C. Imbault-Huart, L' p le Formose, histoire et description (Paris, 1893), 40; J.
    0
    0
  • agrestis, L.
    0
    0
  • arborum, L.
    0
    0
  • The principal parks are: the Piedmont (189 acres), the site of the Piedmont Exposition of 1887 and of the Cotton States and International Exposition of 1895; the Grant, given to the city by L.
    0
    0
  • In thus dividing the birds into two great equivalent groups, he was followed only by C. L.
    0
    0
  • Huxley (1867), P. L.
    0
    0
  • the amount of an element which can combine with or replace unit weight of hydrogen, came into favour, being adopted by L.
    0
    0
  • The researches of L.
    0
    0
  • The necessity for experimental demonstration and practical instruction, in addition to academic lectures, appears to have been urged by the French chemists L.
    0
    0
  • Lampadius in 1796, of chromium by L.
    0
    0
  • It consisted in heating metallic chlorides with potassium, and was first applied to aluminium, which was isolated in 1827; in the following year, beryllium chloride was analysed by the same method, beryllium oxide (berylla or glucina) having been known since 1798, when it was detected by L.
    0
    0
  • In 1818 L.
    0
    0
  • Subsequent researches by Sainte Claire Deville and L.
    0
    0
  • Kriiss and L.
    0
    0
  • the existence of only one acetic acid, methyl chloride, and other monosubstitution derivatives - until the experimental proof by L.
    0
    0
  • We derived this substance from ethane by introducing a meth y l group; hence it may be termed " methylethane."
    0
    0
  • Fuchs, Ann., 1892, 267, p. l:).
    0
    0
  • An analogous oscillation prevails in the pyrazol nucleus, for L.
    0
    0
  • Descroizilles and L.
    0
    0
  • Methods for the estimation of the halogens and sulphur were worked out by L.
    0
    0
  • For an experimental comparison of the accuracy of the Dumas, Will-Varrentrapp and Kjeldahl processes see L.
    0
    0
  • This method was due to L.
    0
    0
  • Petit and P. L.
    0
    0
  • A more accurate expression (n2-1)/(n2+2)d was suggested in 1880 independently and almost simultaneously by L.
    0
    0
  • Krehbiel, Studies in the Wagnerian Drama (1891); Jessie L.
    0
    0
  • 'Bell, ' Ber., 1880, 13, p. 877); by distilling calcium pyroglutaminate: HO 2 C' CH(NH 2)'CH 2 'CH 2 'CO 2 H = C 4 H 4 NH+ C02+2H20 (L.
    0
    0
  • 45; SGmi l l-77s in Egypt, Lumbroso, Econ.
    0
    0
  • Bauer in L.
    0
    0
  • The chief contemporary authorities for this reign are: the diary of Alexander's master of ceremonies, Johannes Burchardus, edited by L.
    0
    0
  • Of the Catholic writers L.
    0
    0
  • The declivities of the ground are still indicated in most topographical maps by a system of strokes or hachures, first devised by L.
    0
    0
  • In the formulae which follow we suppose 1 and l' to represent the latitudes, a and b the co-latitudes (90° - 1 or 90° - l'), and t the difference in longitude between them or the meridian distance, whilst D is the distance required.
    0
    0
  • Thus, cos D - cos a cos b cos sin a sin b cos D = cos a cos b + sin a sin b cos t = sin 1 sin l' + cos 1 cos l cos t.
    0
    0
  • [NUTAPRt $uswna pre Marleyan C T r s D?serfo D a d?L?.M .o ynare Ze 1 rite C?
    0
    0
  • i>a L Agna, e'.0.?'?ir22.
    0
    0
  • Phison +barya L op felice Other Catalans are, Jahuda Cresques, a Jew of Barcelona, the supposed author of the famous Catalan map of the world (1375), Guglielmo Solerio (1384), Mecia de Viladestes (1413-1433) Gabriel de Valleseche (1439-1447) and Pietro Roselli, a pupil of Beccario of Genoa (1462).
    0
    0
  • m.?a'?'s', `= ? ?- 9 e L bia = ° Mro; ?
    0
    0
  • l.
    0
    0
  • island-, covered with printed gores were produced by L.
    0
    0
  • Hantzsch and L.
    0
    0
  • A Bathymetrical Survey of the Freshwater Lochs of Scotland, under the direction of Sir John Murray and L.
    0
    0
  • The results of a survey of southern Rhodesia are given on the map of the British general staff (1:500,000; 1909), while of north-eastern Rhodesia we have an excellent map compiled by C. L.
    0
    0
  • Bottego, Il Guiba esplorato (Rome, 1895); L.
    0
    0
  • (2) French protectorate - L'Annee coloniale (Paris) L.
    0
    0
  • Henrique, Les Colonies francaises (Obock) (Paris, 1899); L.
    0
    0
  • 2 a reads iKo ubOf iiirvcp KaXca and /3 A S L a7rieave.
    0
    0
  • Io - I I) admonishes his sons: Hpbs Ta y Ta7rELYWVEL Kaptlas u,I.LWV 'isa SE577vOs EUXoyLav Ea roD u7-6,l,Garoi abroli.
    0
    0
  • 7rpavvovvcv, conclude that, though it is now found in a, adef, S l, it was originally wanting in, 3 and probably also in H.
    0
    0
  • Brill, Aristoxenus' rhythmische and metrische Messungen (1871); R.'Westphal, GriechischeRhythmik and Harmonik (Leipzig, 1867); L.
    0
    0
  • f L.
    0
    0
  • The works of this period are Les Philosophes Salaries, Machiavel juge des revolutions de notre temps (1849), La Federazione repubblicana (1851), La Filosofia della rivoluzione (1851), L' Italia dopo it colpo di Stato (1852), Histoire des revolutions, ou Guelfes et Gibelins (1858; Italian trans., 1871-1873).
    0
    0
  • Spahn (Munich, 1905), by L.
    0
    0
  • Nearly allied to the foregoing species is the twite, so named from its ordinary call-note, or mountain-linnet, the Linota flavirostris, or L.
    0
    0
  • Another species, L.
    0
    0
  • The best-known modern English translation is that by the Rev. L.
    0
    0
  • The formula is Fe n, Sn+, where n may vary from 5 to 16; usually it is Fe, S8 or Fe l s S12, the latter being also the composition of the artificially prepared compound.
    0
    0
  • The dentition is i, c 1, p 4, m L total 42.
    0
    0
  • The incisors tend to become latera l, the canines are enlarged, and the last upper molar is sub-quadrangular.
    0
    0
  • 457 seq., and L.
    0
    0
  • 4 L.
    0
    0
  • Kohler and L.
    0
    0
  • Introductions and Comms.: C. L.
    0
    0
  • BerquinDuvallon, Vue de la colonie espagnole du Mississippi (Paris, 1805; published in English under the name of John Davis, New York, 1806); L.
    0
    0
  • Masse, L' Pe de Cuba (Paris, 1825); D.
    0
    0
  • Rosemond de Beauvallon, L'île de Cuba (Paris, 1844); J.
    0
    0
  • Piron, L' p le de Cuba (Paris, 1876).
    0
    0
  • Brooke (2 vols., 1899; Havana and Washington, 1900), L.
    0
    0
  • Chapman and L.
    0
    0
  • and L.
    0
    0
  • Nitrogen trichloride, NC1 3, discovered by P. L.
    0
    0
  • vii., by L.
    0
    0
  • If such a complex number is written (as usual) in the form x i e l +x 2 e 2 +...
    0
    0
  • Also the "unit" e l (or e,) considered as a number of the system is merely a shortened form for the complex number (+I) ei +0e2+ +oen.
    0
    0
  • The sum of two complex numbers x i e l +x 2 e 2 + ...
    0
    0
  • The product of two complex numbers of the second order - namely, l e l +x 2 e 2 and y i e l +y 2 e 2, is in this case defined to mean the complex (x i y i - x 2 y 2)e i +(x i y 2 +x 2 y 1)e 2.
    0
    0
  • Thus e1Xe1 = el, e 2 Xe 2 = - e l, e i X e 2 =e 2 X e 1 =e 2.
    0
    0
  • With this definition it is usual to omit the first symbol e l, and to write i or A I - 1 instead of e 2.
    0
    0
  • Poincare, La Science et l'hypothese (Paris, 1st ed., 1902), English translation under the title, Science and Hypothesis (London, 1905); L.
    0
    0
  • 2 For the commercial and political relations of Ragusa and Bosnia, see L.
    0
    0
  • a a i h am (SC?U?l'Hh~1 r :N 1 l ?
    0
    0
  • l ?A ?zO iS11 ?
    0
    0
  • ?MasalCa; o o ?novo Uskiib, y fi a S E A Trnovo° L ?
    0
    0
  • JSS ¢ao oira / 1jl,1 L Ochr  ?
    0
    0
  • I 90`ls K cr?wSao 3?t` rin l se vai?
    0
    0
  • Rodosto Ipsata Yenli,e ot L.
    0
    0
  • l Tcpe(n?
    0
    0
  • A., Die tiirkische Wehrmacht (Vienna, 1892); L.
    0
    0
  • For a few months Mustafa was replaced on the throne; when he abdicated in L, favour of his nephew Murad IV.
    0
    0
  • ch n Bucha 0 Mengen o Allmans l eiler Ostrach Aulendorf Pfullendorf ° Waldse Wurzach Wasser.
    0
    0
  • Fragments (dramas) in L.
    0
    0
  • Russos, Tpeas Pal'aiot (Constantinople, 1893); L.
    0
    0
  • - Historical and Critical Dictionary (1695-1697; 1702, enlarged; best that of P. des Maizeaux, 4 vols., 1740); Les Ouvres de Bayle (3 vols., The Hague); see des Maizeaux, Vie de Bayle; L.
    0
    0
  • Lieutenant (afterwards Admiral) L.
    0
    0
  • Aymonier, Le Cambodge (3 vols., Paris, 1900-1904); L.
    0
    0
  • For an account of the administration consult Frank L.
    0
    0
  • p. 200 (Paris, 1866); L.
    0
    0
  • M`L.; G.
    0
    0
  • While "Lewis Carroll" was delighting children of all ages, C. L.
    0
    0
  • and Omri (which period the present closely resembles), and it was only after perpetrating nameless cruelties at Tappuah l on the border of Ephraim and Mannasseh that the counter revolt of Shallum, son of Jabesh (perhaps a Gileadite), was suppressed.
    0
    0
  • Clinton, The War in the Peninsula, &c. (London, 1889); Marshal Suchet's Memoires (Paris, 1826; London, 1829); Captain L.
    0
    0
  • Thus, if L denote the heat corresponding with the chemical changes associated with unit electric transfer, Le will be the heat corresponding with an electric transfer e, and will also be equal to the change in internal energy of the cell.
    0
    0
  • Kohlrausch and L.
    0
    0
  • In 1846 L.
    0
    0
  • See especially L.
    0
    0
  • Of these vines the most important are the species of Landolphia which occur throughout tropical Africa, including the Sudan, Congo, Mozambique and Madagascar, the principal of which are Landolphia owariensis and L.
    0
    0
  • Africa, and L.
    0
    0
  • Kirkii and L.
    0
    0
  • Africa, and Landolphia Kirkii and L.
    0
    0
  • de Wildernan and L.
    0
    0
  • See Count Lutzow, Bohemia; an Historical Sketch (London, 1896); Palacky, Geschichte von Bohmen; Bachmann, Geschichte Bohmens; L.
    0
    0
  • Under Augustus the coins have on the obverse the imperial effigy, and on the reverse the names and often the effigies of the pro-consuls who governed the province, P. Quintilius Varus, L.
    0
    0
  • _ .?, Niliols +?'?khu r i Ay?, N ?0° n 9 L j Khailar Scale, r :25,000,000 English Miles o iao 0 ' N,kgt hydrographical network is very imperfectly known, especially in the uninhabited hilly tracts.'
    0
    0
  • To the east of the Yablonoi border-range p l ateau: lies the lower terrace of the high plateau, reaching 2000 to 2500 ft.
    0
    0
  • The l principal gold-mining regions in these tracts are the .
    0
    0
  • It is this Wale ' circumstance that facilitated the rapid invasion of Siberia Wal er l by the Russian Cossacks and hunters; they followed the omm courses of the twin rivers in their advance towards the east, and discovered short portages which permitted them to transfer their boats from the system of the Ob to that of the Yenisei, and from the latter to that of the Lena, a tributary of which - the Aldan - brought them close to the Sea of Okhotsk.
    0
    0
  • The larch becomes predominant chiefly in two new species (Larix sibirica and L.
    0
    0
  • The dredgings of the " Vega " expedition in the Arctic Ocean disclosed an unexpected wealth of marine fauna, and those of L.
    0
    0
  • von Middendorff, Sibirische Reise (St Petersburg, 1848-1875); L.
    0
    0
  • Wright, Asiatic Russia (2 vols., London, 1903); L.
    0
    0
  • 2) suggests a derivation from L vat, the goddess of the "onset."
    0
    0
  • " Minerva"); L.
    0
    0
  • (1881); L.
    0
    0
  • Settled soon after the close of the War of Independence, Auburn was laid out in 1793 by Captain John L.
    0
    0
  • Salmon, L.
    0
    0
  • The quantities a l a, a 2 Q ...
    0
    0
  • Further, if DA 1 DA 2 denote successive operations of DA 1 and DA2, DX1DA2(x1X2X2...) 2 1 + b l(1) + b (12) + b 2(2) +bi (13) + b 1b2(21) + b 3(3) +...
    0
    0
  • b., we obtain by comparison with the middle series the symbolical representation of all symmetric functions in brackets () appertaining to the quantities p i, P2, P3,��� To obtain particular theorems the quantities a l, a 2, a 3, ...a, n are auxiliaries which are at our entire disposal.
    0
    0
  • 2 0-5 3 l I - 5 3 I - 0 I 0 3 I +3 1 0 - 5 13 I-6 I-5j--3.21-51-3.1101 =3+30-30-0=3.
    0
    0
  • In general in space of n dimensions we have n substitutions similar to X l = a11x1 +a12x2 + � � � + ainxn, and we have to express the n 2 coefficients in terms of Zn(n - I)i independent quantities; which must be possible, because X1+X2+..."IL Xn =xi+x2 +x3 +...+4.
    0
    0
  • We can eliminate the quantities S l, E2, ��� In and obtain n relations AbXi = (2B 11 - Ab)'�k1 +2B21x2+2B31x3+���, AbX2 = 2B12x1+ (2B22 - Ab) x2 +2B32x3+..., and from these another equivalent set Abx1 = (2B11 - X1 +2B12X2+2B13X3+���, Abx2 = 2B21X1+(2B22 - Ab)X2+2B23X3+���, and now writing 2Bii - Ab 2Bik - aii, Ob = aik, Ob we have a transformation which is orthogonal, because EX 2 = Ex2 and the elements aii, a ik are functions of the 2n(n- I) independent quantities b.
    0
    0
  • Similarly, for the order 3, we take 1 v Ab= -v 1 A =1 +x2 + 1, 2 + � - A 1 and the adjoint is 1+A v +A� -� +Av -v +A� 1+11 2 A +/-tv pt+AvA +�v 1 +1,2 leading to the orthogonal substitution Abx1 = (1 +A 2 - / 22 - v 2) X l +2(v+A�)X2 +2(/1 +Av)X3 1bx2 = 2(A� - v)Xl+(1 +�2 - A2 - v2)X2 / +2(Fiv+A)X3 Abx3 = 2(Av +�)X1 +2(/lv-A)X2+(1+v2-A2- (12)X3.
    0
    0
  • x l, x 2,...
    0
    0
  • x n / I l yl, y2,���yn Theorem.-If the functions y 1, y2,��� y n be not independent of one another the functional determinant vanishes, and conversely if the determinant vanishes, yl, Y2, ...y.
    0
    0
  • f(x) = f =a o xm "- a l + a 2 xm-2 - ...
    0
    0
  • Now, suppose f and 4) to have a common factor x--y, f(x) =f1(x)(x--y); 4,(x) =4,1(x)(x--y), f l and 41 being of degrees m-1 and ni respectively; we have the identity ch i (x)f(x) =fl(x)4,(x) of degree m+n-I.
    0
    0
  • Assuming then 01 to have the coefficients B1, B2,...B,, and f l the coefficients A 1, A21...A,n, we may equate coefficients of like powers of x in the identity, and obtain m+n homogeneous linear equations satisfied by the m+n quantities B1, 2, ...B n, A 1, A 2, ...A m.
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  • + v ?xl 1 + u l U1+v1V 1 + w1W1) � or T x0a,?_ (m-I) J+m(o .
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  • THE Theory Of Symmetric Functions Consider n quantities a l, a 21 a 3, ...
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  • (I x n x) = I +a l x+ a 2 x 2 -{-...
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  • = 11(1 +�alxl+� g al x2+�3a1x3+...), the product on the right involving a factor for each of the quantities a l, a2, a3..., and u being arbitrary.
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  • Multiplying out the right-hand side and comparing coefficients X1 = (1)x1, X 2 = (2) x2+(12)x1, X3 = (3)x3+(21)x2x1+ (13)x1, X4 = (4) x 4+(31) x 3 x 1+(22) x 2+(212) x2x 1 +(14)x1, Pt P2 P3 P1 P2 P3 Xm=?i(m l m 2 m 3 ...)xmlxm2xm3..., the summation being for all partitions of m.
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  • - where(J i) j l (J2) 72 (J 3) j 3...is a separ A1.
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  • / L 2 !
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  • ation of (l Al l h2 1 A3 ...) of specification (m"lmH2m"...), and the sum is for all such separations.
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  • (J1)11(J2)12(J3)j3�.� jj!j2!j3!..� where since(m1 1 m2 2 m3 3 ...) is the specification of (J1)j1(J2)j2(J3)j3..., � l +�2+/23+��� =ii +j2+j3+���� Comparison of the coefficients of x:14243...
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  • ) j1+j2+j3+..� (J1+ j2 +j3+...-1)!/T1)?1(J2)72 (J 3)/3..., j11j2!j3!... ?.1 for the expression of Za n in terms of products of symmetric functions symbolized by separations of (n 1 1n 2 2n 3 3) Let (n) a, (n) x, (n) X denote the sums of the n th powers of quantities whose elementary symmetric functions are a l, a 2, a31���; x 1, x2, x31..; X1, X2, X3,...
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  • Remark.-In this notation (0) = Eai = (i n); (02) _ za l a2 = (2);...
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  • 1 S 2 2 S 3 3 ...) +..., ?1 ?2 ?3 _ � l �2 �3 h S h S2 h 83 ...
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  • +o (m l m2 m3) +..., Theorem of Expressibility.
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  • � � P1 v2 v3...) � For, writing as before, Xm 'Xm 2 Xm '= zzo(SQls:2s73...) xi'x12x13..., 1 2 3" 1231 2 3 = EPxi l x A2 x A3, P is a linear function of separations of(/ 1 / 2 A2 / 4 3 3 ...) of specification (m"`1m�2m"`3...), and if X; 1 X 3 2X8 3 ' ..
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  • A table may be formed expressing the k expressions Pa l), P(2),...P(1) as linear functions of the k expressions (m"`'sm�2sm�3s...), s =1, 2, ...k, and the numbers BSc occurring therein is 2s 3s possess row and column symmetry.
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  • 1 1 where laan and di denotes, not s successive operations of d1, but the operator of order s obtained by raising d l to the s th power symbolically as in Taylor's theorem in the Differential Calculus.
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  • Write also s l d1= D, so that f(a i a2+ p al, ...an+Ilan-1) =f +FLDif +F4 2 D2f + t i 3 D 3 f -}-....
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  • in terms of dl, d 2, d 3, ..., products denoting successive operations, by the same law which expresses the ele mentary function a s in terms of the sums of powers s l, s 2, s3,...
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  • If in the identity f =f l f 2 ...fm we introduce a new root A we change a 8 into a8+/la8_l, and we obtain (1 +AD1 2 D2+...
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  • +an we may write in general D s f = ZD(p l p 2 p 3 ��) the summation being for every partition (piP2p3...) of s, and D(p iP2 p 3 ...)f being =2 (Dpifi)(DP2f2) (DL'h3f3)f4...f,n.
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  • =0, are non-unitary symmetric functions of the roots of a xn-a l xn 1 a2 x n-2 -...
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  • The importance of the operator consists in the fact that taking any two operators of the system (I l, v; m, n); (Ill, v l : m l, n1), the operator equivalent to (I l, v; m, n) (111, v 1; ml, n1) - (i l l, v1; ml, n1) (/l, v; m, n), known as the " alternant " of the two operators, is also an operator of the same system.
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  • We have the theorem (I I, v; m, n) (/l l, v l; ml, n i) - (Il l, P 1; m l, n ') (/l, v; m, n) = (11, vl; ml, ni); where 1 /l1= (ml +m-1) ml (/l +nlv) - u-2 Cu '+nvl) 1 1 m-1 1 m1-1 vl =(n -n)vv-E ml / lY- m /lv, m i =7111+m-I, n1=nl+n, and we conclude that qua " alternation" the operators of the system form a " group."
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  • = a l z = e a2z =e.3.=...
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  • +bmP"`), a = e?l a' 1 °2 a 2 +..
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  • +amaa.)sm, (ll, v; m P -"O a an + (l l + v) (ll +2 v) (m (11 +3v) +...], m - 2 2  !2 a 0 a 1 aan +2 !
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  • ePl g l + P2P2 + P31 3 3 -f -..
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  • As shown by L.
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  • In this notation the fundamental relation is written (l + a i x +01Y) (I + a 2x+l32Y) (1 + a3x+133y)...
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  • = 1 +(l A x +(01) y +(102) x2 +(1001)xy+(512)3,2 +(103)x 3 +(10201)x i y+(10 O12)xy2+ (013)y3+...
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  • /,) (-)P+4-laP4 (p i+ g l - 1) !
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  • S] l p2!
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  • 1 exp(Adlo + vdol) = (1+/oD10+ v Doi +..�+ VQ +.�.)f; now, since the introduction of the new quantities 1.1., v results in the addition to the function (plglp2g2p3g3...) of the new terms A PI Pg1 (p 2q2 p 3g3���) +/ AP2Pg2 (p 1 g 1P343 ...)+/ Z3vg3 (p l g i p 2 g 2 ...)+ �, we find DP141(plqip2q2p3q3���) = (p 2 q 2 p 3 q 3���), and thence D P141 D P242 D P343 ��.
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