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limit

limit

limit Sentence Examples

  • We have to limit the strain we place him under or he'll break.

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  • There is a certain limit of time in less than which no amount of heat can melt the snow.

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  • He drove the speed limit - no more, no less.

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  • We agreed to limit our test to one phone call.

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  • In 1812 it reaches its extreme limit, Moscow, and then, with remarkable symmetry, a countermovement occurs from east to west, attracting to it, as the first movement had done, the nations of middle Europe.

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  • I broke the speed limit wasting no time getting there.

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  • There was a limit to his patience, and she had crossed it.

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  • Or maybe I can learn to fight and go with him, if there's no time limit to the war.

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  • Before Nerazzini could reach Adis Ababa, Rudini, in order partially to satisfy the demands of his Radical supporters for the abandonment of the colony, announced in the Chamber the intention of Italy to limit her occupation to the triangular zone between the points Asmar, Keren and Massawa, and, possibly, to withdraw to Massawa alone.

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  • Instead of science proceeding at the slow speed of time, the only limit on its progress will be processor speed—and those two speeds hardly can be compared.

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  • The big deal is the speed limit is fifty.

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  • It may have some limit in theory, because there is an optimal arrangement of atoms in the universe; but for practical purposes, it has no limit.

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  • Yes Carmen, let's limit it to his face.

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  • Technology has no limit we know of.

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  • Count Rostopchin paused, feeling that he had reached the limit beyond which censure was impossible.

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  • Don't limit it just to plants.

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  • Howie had nearly reached his limit when he heard someone enter the room!

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  • And what is the time limit for such reactions?

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  • Proceeding south from the Trigno, already mentioned as constituting the limit of Central Italy, there are (1) the Biferno and (2) the Fortore, both rising in the mountains of Samnium, and flowing into the Adriatic west of Monte Gargano; (3) the Cervaro, south of the great promontory; and (4) the Ofanto, the Aufidus of Horace, whose description of it is characteristic of almost all the rivers of Southern Italy, of which it may be taken as the typical representative.

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  • Ancient geographers appear to have generally regarded the remarkable headland which descends from the Maritime Alps to the sea between Nice and Monaco as the limit of Italy in that direction, and in a purely geographical point of view it is probably the best point that could be selected.

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  • of the deep-sea cables within the first twelve years, placed the probable life of a cable as low as fifteen years, but the weeding out of unserviceable types of construction, and the general improvement in materials, have by degrees extended that first estimate, until now the limit may be safely placed at not less than forty years.

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  • We'll keep a low profile and limit any negative publicity to really egregious errors.

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  • When she sat back with a belly stretched to its limit, the scent and food disappeared.

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  • (ii.) For an upper limit of date, in default of definite evidence, it seems imprudent to go back beyond the 5th]century B.C., since neither in Rome nor Campania have we any evidence of public written documents of any earlier century.

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  • " Calculographs " are employed for stamping the time upon the tickets, and there is associated with each trunk circuit a device which lights a lamp as soon as the scheduled limit of the period of conversation is reached.

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  • Its northern limit nearly coincides with that of successful wheat cultivation.

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  • The mind can act only upon itself; beyond that limit, the power of God must intervene to make any seeming interaction possible between body and soul.

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  • In the Novum Organum, after giving a long list of the sources of heat, he says: "From these examples, taken collectively as well as singly, the nature whose limit is heat appears to be motion..

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  • On this occasion some supplementary articles were added to the charter; these were intended to limit the taxing power of the crown.

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  • When there is a single protoxylem strand in the centre of the stele, or when, as is more commonly the case, there are several protoxylem strands situated at the internal limit of the xylem,, the centre of the stem being occupied by parenchyma, the stele is endarch.

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  • Damian straightened, at his limit with the cryptic nonsense.

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  • Maybe she was stretching her behavior to the limit, like a slingshot—pulling it tight until it snapped back, with stinging pain.

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  • Kayes is the limit of navigability from the sea.

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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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  • They may be enumerated, proceeding from Rimini southwards: (1) the Foglia; (2) the Metauro, of historical celebrity, and affording access to one of the most frequented passes of the Apennines; (3) the Esino; (4) the Potenza; (5) the Chienti; (6) the Aso; (7) the Tronto; (8) the Vomano; (9) the Aterno; (10) the Sangro; (11) the Trigno, which forms the boundary of the southernmost province of the Abruzzi, and may therefore be taken as the limit of Central Italy.

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  • The portion of the Mediterranean commonly termed the Tyrrhenian Sea forms its limit on the W.

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  • The river Marecchia, which enters the sea immediately north of Rimini, may be considered as the natural limit of Northern Italy.

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  • The lyrical metres of Plautus are wonderfully varied, and the textual critic does well not to attempt to limit the possibilities of original metrical combinations and developments in the Roman comedian.

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  • The Magra (Macra), in ancient times the boundary between Liguria and Etruria, may be considered as constituting on this side the limit of Northern Italy.

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  • The age limit is six to nine years for the lower grade, and up to twelve for the higher grade, attendance being obligatory at the latter also where it exists.

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  • Drastic measures were necessary to limit expenditure and to provide new sources of revenue.

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  • The last words were an attempt to limit further appeal to Rome.

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  • The poplars are almost entirely confined to the north temperate zone, but a few approach or even pass its northern limit, and they are widely distributed within that area; they show, like the willows, a partiality for moist ground and often line the river-sides in otherwise treeless districts.

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  • What characterizes a tadpole is the conjoined globular head and body, so formed that it is practically impossible to discern the limit between the two, sharply set off from the more or less elongate compressed tail which is the organ of propulsion.

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  • Apical cell, p. Wall marking limit between the plerome k, initial segment of root-cap. P and the pleriblem Pb.

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  • Outermost layer of root-cap. c. Wall marking the inner limit of the outer cortex.

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  • Beyond a certain limit no mechanical disruption of the body could hasten the process of decomposition.

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  • I think you'd better limit your use to when Fred's here to give you permission.

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  • It was separated from Etruria and Umbria by the main chain of the Apennines; and the river Ariminus was substituted for the far-famed Rubicon as its limit on the Adriatic.

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  • It is grown largely in the departments of Nord and Pas-de-Calais and in those of the Seine basin, the southern limit of its cultivation being roughly a line drawn from Bordeaux to Lyons.

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  • The word potential does not imply that this energy is not real; it exists in potentiality only in the sense that it is stored away in some latent manner; but it can be drawn upon without limit for mechanical work.

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  • This is considerably in excess of the circulation, 40,404,000, fixed by royal decree of 1900; but the issue of additional notes was allowed, provided they were entirely covered by a metallic reserve, whereas up to the fixed limit a 40% reserve only was necessary.

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  • In 119 as tribune he proposed a law intended to limit the influence of the nobles at elections.

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  • People accustomed to think in that way forget, or do not know, the inevitable conditions which always limit the activities of any commander in chief.

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  • I hadn't considered that having a house guest would severely limit our chances for candid conversation.

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  • Dean had all he could do to maintain reasonable proximity to the speed limit after letting Fred know where he was going.

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  • But there is a limit to love-making, and George Sand, always practical, set to work to provide the means of living.

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  • If you get stopped, you'll loose more time than if you go the speed limit.

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  • "Jule, you don't understand what—" "I'm starting to understand," Jule said, temper at its limit.

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  • "The speed limit's thirty-five," she objected.

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  • Visa, he was happy to learn, didn't call to say he was overdrawn but to offer to increase his credit limit.

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  • The grant finally came into the possession of Thomas, Lord Fairfax, and in 1746 a stone was erected at the source of the north branch of the Potomac to mark the western limit of the grant.

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  • But in 1860 the annexation Nice and the adjoining territory to France brought the political frontier farther east, to a point between Mentone and Ventimiglia which constitutes no natural limit.

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  • Towards the north-east, the point where the Julian Alps approach close to the seashore (just at the sources of the little stream known in ancient times as the Timavus) would seem to constitute the best natural limit.

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  • The protoxylems and the phloem strands are developed alternately, just within the outer limit of the young cylinder.

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  • The limit of each years increment of secondary wood, in those plants whose yearly activity is interrupted by a regular winter or dry season, is marked by a more or less distinct line, which is produced by the sharp contrast between the wood formed in the late summer of one year (characterized by the sparseness or small diameter of the tracheal elements, or by the preponderance of fibres, or by a combination of these characters, giving a denseness to the wood) and the loose spring wood of the next year, with its absence of fibres, or its numerous large tracheae.

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  • In Gymnosperms, where vessels and fibres are absent, the late summer wood is composed of radially narrow thick-walled tracheids, the wood of the succeeding spring being wide-celled and thin-walled, so that the limit of the years growth is very well marked.

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  • As this is not the incorporation of either into the living sobstance, but is only its manufacture into the complex substances which we find in the plant, it seems preferable to limit the term assimilation to the processes by which foods are actually taken into the protoplasm.

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  • When the limit of extensibility is reached the cell wall increases in thickness from the continuation of the latter of the two processes.

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  • Warming admits there is no sharp limit between nI

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  • tere is no sharp limit between some of his helophytes and some of, s hydrophytes.

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  • Temperature, then, is the fundamental limit which nature opposes to the indefinite extension of any one species.

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  • Its eastern limit in Europe is a line from Konigsberg to the Caucasus; thence through China it is continued by varietal forms to Japan.

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  • In 1300 the outer ring of walls was completed, the earlier circumvallation being marked by the limit of the Altstadt (old city).

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  • The Bresse is watered by the Veyle and the Reyssouze, both flowing into the Saone, which washes the western limit of the department.

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  • I, &c.) and other writers would limit it to the mountainous district to the east of Babylonia, lying between the Oroatis and the Tigris, and stretching from India to the Persian Gulf.

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  • However we may interpret the lower limit of this period, the literature which it embraces is immense.

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  • With the 13th century Hebrew literature may be said to have reached the limit of its development.

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  • In the north, where the province borders Semipalatinsk, it includes the western parts of the Tarbagatai range, the summits of which (10,000 ft.) do not reach the limit of perpetual snow.

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  • It was the theoretical eastern limit of the Jewish kingdom; for a long time it separated Assyria from the Khita or Hittites; it divided the eastern from the western satrapies of Persia (Ezra iv.

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  • As far as the Khabur Mesopotamia seems to have been a wellinhabited country from at least the 15th century B.C., when it constituted the Hittite kingdom of Mitanni, down to about the 12th century A.D., and the same is true of the country on the Syrian side of the Euphrates as far as the eastern limit of the Palmyrene.

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  • The chief domestic animals are the camel, horse, ass, ox, buffalo (used both as a beast of burden and for riding), sheep with a short silky fleece, the goat and the pig, which last here reaches its southernmost limit.

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  • from Khartum and the limit of navigation up stream from that city.

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  • limit - East Cape on the Bering Strait - is in 191° E.

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  • They thus check the extension and limit the duration of the cold anticyclones.

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  • limit of the forests, which closely follows the coastline, with deviations towards the N.

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  • limit of the ante-steppe is represented by a line drawn from the Pruth through Zhitomir, Kursk, Tambov and Stavropol-on-Volga to the sources of the Ural river.

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  • of the White Sea, which is a botanical limit for many species).

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  • of Archangel, and the limit is still lower towards the Urals.

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  • If the maximum rates were prescribed, as they sometimes were, the limit was placed so high as to be of no practical value for control.

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  • The theoretical limit is about i in 16; between I in 20 and 1 in 16 a steam locomotive depending on the adhesion between its wheels and the rails can only haul about its own weight.

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  • In the United States a committee of the American Society of Civil Engineers, appointed to consider the question of rail manufacture in consequence of an increase in the number of rail-failures, issued an interim report in 1907 in which it suggested a range of carbon from 0-55 to 0-65% for the heaviest sections of Bessemer steel flange rails, with a phosphorus maximum of 0.085%; while the specifications of the American Society for Testing Materials, current at the same period, put the carbon limits at o 45 to 0-55%, and the phosphorus limit at o io.

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  • In most of the systems that have been proposed this result is attained by electrical regulation; in one, however, a mechanical method is adopted, the dynamo being so' hung that it allows the driving belt to slip when the speed of the axle exceeds a certain limit, the armature thus being rotated at an approximately constant speed.

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  • The limit was extended to the 1 st of August 1900 by the Interstate Commerce Commission, which was given discretion in the matter.

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  • With increasing altitude vegetation becomes more varied and abundant, until the tree limit is reached; then follows a forest belt, which in the highest mountains is limited above by cold as it is below by aridity.

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  • Dealing then simply with the laws of nature as we know them, we can see no limit to the increasing size of the sun as we look back.

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  • The prophets taught that the national existence of the people was bound up with religious and social conditions; they were in a sense the politicians of the age, and to regard them simply as foretellers of the future is to limit their sphere unduly.

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  • Crete thus forms the natural limit between the Mediterranean and the Archipelago.

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  • The Wilcox formation (called Lignitic by Hilgard, and named by Safford the Lagrange group) lies to the west of the last, and its western limit is from about 32° 12' on the Alabama boundary about due north-west; in its north-westernmost part it is on the western edge of the Tertiary in this state.

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  • No longer do we regard the Kuen-lun mountains, which extend from the frontiers of Kashmir, north of Leh, almost due east to the Chinese province of Kansu, as the southern limit of the Gobi or Turkestan depression.

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  • This very remarkable longitudinal chain is undoubtedly the northern limit of the Chang Tang, the elevated highland steppes of Tibet; but from it there branches a minor system to the north-east from a point in about 83° E.

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  • The northern limit of the pine in Siberia is about 70° N.

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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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  • Deer do not extend into New Guinea, in which island the genus Sus appears to have its eastern limit.

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  • Though patient and good-tempered in the main, they have a latent warmth of temper, and if oppressed beyond a certain limit they would fiercely turn upon their tormentors.

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  • The debt limit is set by the city charter at 18% of the assessed value of the taxable real estate of the city.

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  • In the cattle classes, aged beasts of huge size and of considerably over a ton in weight used to be common, but in recent years the tendency has been to reduce the upper limit of age, and thus to bring out animals ripe for the butcher in a shorter time than was formerly the case.

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  • The single exception is provided by the slowly-maturing Highland breed of cattle, for which classes were allotted to (I) steers not exceeding three years old, (2) steers or oxen above three years old (with no maximum limit), and (3) heifers not exceeding four years old.

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  • above the sea, though in Swedish Lapland it is found on the slope of the Sulitelma as high as 1200 ft., its upper limit being everywhere lower than that of the pine.

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  • The tree also occurs in the New England states and extends over nearly the whole of British North America, its northern limit occurring at about 67° N.

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  • It is of comparatively small size, but is of some importance in the wilds of the Canadian dominion, where it is found to the northern limit of tree-vegetation growing up to at least 69°; the slender trunks yield the only useful timber of some of the more desolate northern regions.

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  • C, Complete semi-rotation (the limit).

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  • The euthyneurous visceral loop is long, and presents only one ganglion (in Aplysia camelus, but two distinct ganglia joined to one another in Aplysia hybrida of the English coast), placed at its extreme limit, representing both the right and left visceral ganglia and the third or abdominal ganglion, which are so often separately present.

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  • Hibil, at the instance of the supreme God, also taught men about the world of light and the aeons, and especially gave them to know that not P'tahil but another was their creator and supreme God, who as "the great king of light, without number, without limit," stands far above him.

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  • 3 Though said by its author, Johann Wonnecke von Caub (Latinized as Johannes de Cuba), to have been composed from a study of the 2 This is Sundevall's estimate; Drs Aubert and Wimmer in their excellent edition of the `Io-ropiac 1repi "c;iwv (Leipzig, 1868) limit the number to 126.

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  • The mischief caused by this theory of a Quinary System was very great, but was chiefly confined to Britain, for (as has been will be necessary to limit this survey, as before indicated, to those countries alone which form the homes of English people, or are commonly visited by them in ordinary travel.

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  • He also carried to a very extreme limit his views of nomenclature, which were certainly not in accordance with those held by most zoologists,, though this is a matter so trifling as to need no details in illustration.

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  • Moreover, still further tq limit the power of the doge, the number of ducal councillors was raised from two to six.

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  • The acquisition of Cyprus marks the extreme limit of Venetian expansion in the Levant; from this date onward there is little to record save the gradual loss of her maritime possessions.

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  • In 1885 a state law placed a limit on the contractable debt and upon the taxation rate of the city.

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  • It has been commonly thought that the production of cotton in the south is limited by the amount that can be picked, but this limit is evidently very remote.

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  • In the United Kingdom the limit has, for the purpose in question, been fixed by the legislature at 73° F., by the " Abel-test," which is the equivalent of the former standard of 100° F.

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  • In Pennsylvania, the prescribed limit is a " fire-test " of 110° F., equivalent to about 70° F., close-test, while in the State of New York it is 1 00° F., close-test.

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  • The body of the tenants-in-chief continued to limit the power of the crown: their consent was necessary to legislation, and grants of fiefs could not be made without their permission.

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  • The northern limit is the Tauric system of mountains, and the southern limit the edge of the Sinaitic desert.

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  • The mammals of Syria are rather sharply to be distinguished into those which range only north of Mt Carmel, and those which pass that limit.

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  • From the termination of the DamascusMzerib railway a line (the " Mecca railway ") has been laid by Ottoman enterprise east of Jordan to the southern limit of Syria and beyond.

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  • The instrument therefore does not begin to read from zero current, but from some higher limit which, generally speaking, is about one-tenth of the maximum, so that an ammeter reading up to io amperes will not give much visible indication below i ampere.

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  • He resolved to suppress many abuses, but, above all things, to check feudalism and limit the power of the nobles.

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  • North of the Satpuras is,the rich valley of the Nerbudda, which may be said to begin towards the north of the Jubbulpore district and to extend westward through the district of Narsinghpur as far as the western limit of Hoshangabad, a distance of nearly 300 m.

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  • The continuation of the valley west of I-Ioshangabad forms the northern portion of the district of Nimar, the farther limit of which touches the Khandesh district of the Bombay presidency.

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  • He burned phosphorus in air standing over mercury, and showed that (1) there was a limit to the amount of phosphorus which could be burned in the confined air, (2) that when no more phosphorus could be burned, one-fifth of the air had disappeared, (3) that the weight of the air lost was nearly equal to the difference in the weights of the white solid produced and the phosphorus burned, (4) that the density of the residual air was less than that of ordinary air.

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  • That the number of atoms which can be associated in a ring by single affinities is limited there can be no doubt, but there is not yet sufficient evidence to show where the limit must be placed.

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  • In the middle of the 19th century the southern limit of the Kachins was 200 m.

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  • According to the Kachin Hill Tribes Regulation of 1895, administrative responsibility is accepted by the British government on the left bank of the Irrawaddy for the country south of the Nmaikha, and on the right bank for the country south of a line drawn from the confluence of the Malikha and Nmaikha through the northern limit of the Laban district and including the jade mines.

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  • At the present time compilers of strata maps generally limit themselves to two or three colours, in various shades, with green for the lowlands, brown for the hills and blue for the sea.

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  • His map formed a parallelogram measuring 75,800 stadia from Usisama (Ushant island) or Sacrum Promontorium in the west to the mouth of the Ganges and the land of the Coniaci (Comorin) in the east, and 46,000 stadia from Thule in the north to the supposed southern limit of Libya.

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  • The 40 0 east may be taken as the western limit of Somali settlements.

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  • As soon as the march of conquest had reached its natural limit, slavery began to be modified; and when the empire was divided into the several states which had grown up under it, and the system of defence characteristic of the middle ages was substituted for the aggressive system of antiquity, slavery gradually disappeared, and was replaced by serfdom.

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  • At the congress of Vienna (November 1814) the principle was acknowledged that the slave trade should be abolished as soon as possible; but the determination of the limit of time was reserved for separate negotiation between the powers.

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  • Hares, for a long period extinct, were reintroduced about 1830, rabbits are very numerous, and the northern limit of the hedgehog is drawn at Lerwick.

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  • Hermon is referred to as a northern limit, and Salecah is alluded to in addition to the other cities already mentioned.

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  • side of the island there are long chains of islets and reefs and coral keys (of which it is estimated there are 1300), which limit access to probably half of the coast, and on the N.

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  • Thus the class of rational numbers whose squares are less than 2 has no upper limit among the rational numbers.

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  • Thus it is explained in the preface to the budget that the revenues " proceeding from the deposed sultan " are not classed together under one heading, but that they have been apportioned to the various sections under which they should fall " whether taxes on house property or property not built upon, tithes, aghnam, forests, mines, cadastre, sport, military equipment, private domains of the state, various receipts, proceeds of sales, rents " - a truly comprehensive list which by no means set a limit to the private resources of Abd-ul-Hamid II., who looked upon the customs also as a convenient reserve on which he could, and did, draw when his privy purse was short of money.

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  • It was to be applied by redemption at the best price possible on the market, until that price stood at £T66.66, when, if the rate of interest served were 1%, it was to proceed by drawings; if the interest were anything more than 1%, and less than 3%, the limit of price for redemption was to be raised to U75; if the interest were between 3% and 4% inclusive, the limit was to be raised to par.

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  • The systems of guarantee above described are clearly faulty, since theoretically the railway company which ran no trains at all would, up to the limit of its guarantee, make the largest profits.

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  • The troops arrived late at their appointed positions, and after a stubborn rearguard action at Pultusk itself and undecisive fighting elsewhere (Soldau-Golymin) the Russians succeeded in retreating beyond the jaws of the French attack, and Napoleon for the first time found that he had exceeded the limit of endurance of his men.

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  • Seeing clearly that his want of an efficient cavalry precluded all ideas of a resolute offensive in his old style, he determined to limit himself to a defence of the line of the Elbe, making only dashes of a few days' duration at any target the enemy might present.

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  • The northern sides and tops of the lower heights are often covered with dense forests of oak, cork, pine, cedar and other trees, with walnuts up to the limit of irrigation.

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  • The age limit of the electors was further lowered to 21, and that of eligibility was fixed at 25 years.

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  • By the state census of 1905 the population of the principal cities was as follows: Minneapolis, 261,954; St Paul, 197,023; Duluth, 64,942; Winona, 20,334; Stillwater, 12, 435; and Mankato, 10,996; by the same census four other cities, all in the mining region in the north-east, had passed the 5000 limit, viz.

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  • In some species it is possible that they have scarcely more than one day's existence, but others are far longer lived, though the extreme limit is probably rarely more than a week.

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  • Without attempting to answer this question categorically, it may be pointed out that within the limits of the family (Ptychoderidae) which is especially characterized by their presence there are some species in Y art dY YY cts, posterior limit of collar.

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  • The logarithmic formulae for these concentration cells indicate that theoretically their electromotive force can be increased to any extent by diminishing without limit the concentration of the more dilute solution, log c i /c 2 then becoming very great.

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  • Among these are the precise extent of demand, the limit of the inevitable fall in price with largely increased production, the cost of labour as increasing amounts are required, and the effect of changed conditions on the output of " wild " rubber and the competition of the new plantations which are being established in tropical America.

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  • 1 The northern limit of this region, must, however, be drawn nearer to the Arctic Ocean.

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  • 3 From this northern limit to the Aral-Caspian and Mongolian steppes stretches all over Siberia the forest region; the forests are, however, very unequally distributed, covering from 50 to 99% of the area in different districts.

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  • Berry-yielding plants are found everywhere, even on the goltsy, at the upper limit of tree vegetation; on the lower grounds they are an article of diet.

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  • According to Nordenskjold r it numbers only twenty-nine species of mammals, of which seven are marine and seventeen or eighteen may be safely considered as living beyond the forest limit.

    0
    0
  • They also tried to limit the scope of privileges.

    0
    0
  • Grassot has devised a galvanometer, or " fluxmeter," which greatly alleviates the tedious operation of taking ballistic readings.2 The instrument is of the d'Arsonval type; its coil turns in a strong uniform field, and is suspended in such a manner that torsion is practically negligible, the swings of the coil being limited by damping influences, chiefly electromagnetic. The index therefore remains almost stationary at the limit of its deflection, and the deflection is approximately the same whether the change of induction occurs suddenly or gradually.

    0
    0
  • Under increasing magnetizing forces, greatly exceeding those comprised within the limits of the diagram, the magAetization does practically reach a limit, the maximum value being attained with a magnetizing force of less than 2000 for wrought iron and nickel, and less than 4000 for cast iron and cobalt.

    0
    0
  • There appears to be no definite limit to the value to which the induction B may be raised, but the magnetization I attains a true saturation value under magnetizing forces which are in most cases comparatively moderate.

    0
    0
  • If H could be increased without limit, so also could the tractive force.

    0
    0
  • It appears that the contraction which followed the initial extension of the iron reached a limit in fields of i 000 or 1100.

    0
    0
  • Its principal river is the Rapel, sometimes considered as the southern limit of the Inca empire.

    0
    0
  • In the latter case the United States, after the purchase of Alaska, vainly attempted to assert dominion beyond the three-mile limit.

    0
    0
  • As this struggle is of too complex a nature to be described in detail, we must limit ourselves to a summary of its leading episodes.

    0
    0
  • Approach to a Limit.

    0
    0
  • - There are two kinds of approach to a limit, which may be illustrated by the series forming the expansion of (x+h) n, where n is a negative integer and 1> h/x> o.

    0
    0
  • This is expressed by saying that the sequence converges to (x+h)" as its limit; it may be stated concisely in any of the three ways, (x+h) n =lim(x"+n(1)xn-lh+....+ n(T)xn-rhr+��.),(x+h)n =lim Sr, Sr. (x+h)n.

    0
    0
  • The approach to the limit will therefore be by a series of jumps, each of which, however small, will be finite; i.e.

    0
    0
  • Thus we arrive at the differential coefficient of f(x) as the limit of the ratio of f (x+8) - f (x) to 0 when 0 is made indefinitely small; and this gives an interpretation of nx n-1 as the derived function of xn (� 45)� This conception of a limit enables us to deal with algebraical expressions which assume such forms as -° o for particular values of the variable (� 39 (iii.)).

    0
    0
  • We cannot, for instance, say that the fraction C _2 I is arithmetically equal to x+I when x= I, as well as for other values of x; but we can say that the limit of the ratio of x 2 - I to x - I when x becomes indefinitely nearly equal to I is the same as the limit of x+ On the other hand, if f(y) has a definite and finite value for y = x, it must not be supposed that this is necessarily the same as the limit which f (y) approaches when y approaches the value x, though this is the case with the functions with which we are usually concerned.

    0
    0
  • The successive terms of the sequence in that case were formed by successive additions of terms of a series; the series is then also said to converge to the limit which is the limit of the sequence.

    0
    0
  • to its limit X by direct examination of the value of X - S r.

    0
    0
  • In most cases this is not possible; and we have first to consider the convergence of the sequence or of the series which it represents, and then to determine its limit by indirect methods.

    0
    0
  • In order that numerical results obtained by summing the first few terms of a series may be of any value, it is usually necessary that the series should converge to a limit; but there are exceptions to this rule.

    0
    0
  • Consideration of the binomial theorem for fractional index, or of the continued fraction representing a surd, or of theorems such as Wallis's theorem (� 64), shows that a sequence, every term of which is rational, may have as its limit an irrational number, i.e.

    0
    0
  • Theoretically, no limit can be assigned to the number of possible algebras; the varieties actually known use, for the most part, the same signs of operation, and differ among themselves principally by their rules of multiplication.

    0
    0
  • cos k(at-r), it is necessary to suppose that the integrated term vanishes at the upper limit.

    0
    0
  • We may usually suppose that a large number of the outer rings are incomplete, so that the integrated term at the upper limit may properly be taken to vanish.

    0
    0
  • If a formal proof be desired, it may be obtained by introducing into the integral a factor such as P, in which h is ultimately made to diminish without limit.

    0
    0
  • The actual finiteness of A imposes a limit upon the separating or resolving power of an optical instrument.

    0
    0
  • Helmholtz in 1871 is the ` foundation of the important doctrine of the microscopic limit.

    0
    0
  • But although the argument from gratings is instructive and convenient in some respects, its use has tended to obscure the essential unity of the principle of the limit of resolution whether applied to telescopes or microscopes.

    0
    0
  • The extreme value possible for a is a right angle, so that for the microscopic limit we have Z X o/µ (2).

    0
    0
  • The limit can be depressed only by a diminution in Xo, such as photography makes possible, or by an increase in /2, the refractive index of the medium in which the object is situated.

    0
    0
  • If 2R be the diameter of the objectglass and D the distance of the object, the angle subtended by AP is E/D, and the angular resolving power is given by X/2 D sin a = X/2 R (3) This method of derivation (substantially due to Helmholtz) makes it obvious that there is no essential difference of principle between the two cases, although the results are conveniently stated in different forms. In the case of the telescope we have to deal with a linear measure of aperture and an angular limit of resolution, whereas in the case of the microscope the limit of resolution is linear, and it is expressed in terms of angular aperture.

    0
    0
  • The importance of the general conclusions above formulated, as imposing a limit upon our powers of direct observation, can hardly be overestimated; but there has been in some quarters a tendency to ascribe to it a more precise character than it can bear, or even to mistake its meaning altogether.

    0
    0
  • If we suppose the diameter of the lens to be given (2R), and its focal length f gradually to increase, the original differences of phase at the image of an infinitely distant luminous point diminish without limit.

    0
    0
  • Throughout the operation of increasing the focal length, the resolving power of the instrument, which depends only upon the aperture, remains unchanged; and we thus arrive at the rather startling conclusion that a telescope of any degree of resolving power might be constructed without an object-glass, if only there were no limit to the admissible focal length.

    0
    0
  • It is not likely that such a result will ever be fully attained in practice; but the case is worth stating, in order to show that there is no theoretical limit to the concentration FIG.

    0
    0
  • Fraunhofer should, however, have fixed the microscopic limit at IX, as appears from (5), when we suppose 0 = 27r, 4)=1.7r.

    0
    0
  • There is clearly no theoretical limit to the resolving power of gratings, even in spectra of given order.

    0
    0
  • Even in the contrary case, the thickness of the plate must not exceed a certain limit, dependent upon the purity of the spectrum.

    0
    0
  • The formation of bands thus requires that the retarding plate be held upon the side already specified, so that zs be positive; and that the thickness of the plate (to which z is proportional) do not exceed a certain limit, which we may call 2T 0.

    0
    0
  • as the point P is more and more deeply immersed in the shadow, the illumination continuously decreases, and that without limit.

    0
    0
  • If, as suffices for all practical purposes, we limit the application of the formulae to points in advance of the plane at which the wave is supposed to be broken up, we may use simpler methods of resolution than that above considered.

    0
    0
  • An inferior limit for the final collection is given by the Septuagint translation.

    0
    0
  • Since the value of µ for water is about, it follows that n must be at least unity for a rainbow to be formed; there is obviously no theoretical limit to the value of n, and hence rainbows of higher orders are possible.

    0
    0
  • immediately from the shores, while the mountains of Tongariro, Ngauruhoe, an active volcano, and Ruapehu, a snow-clad peak, back the view to the south and mark the limit of the great volcanic line which extends 160 m.

    0
    0
  • The western limit of the former nave of the church is marked by a fine Early English doorway, now forming an entrance to the churchyard.

    0
    0
  • London Bridge is to outward appearance the up-river limit of the port.

    0
    0
  • The Tower was situated at the eastern limit of the city, and not far from the western extremity Castle Baynard was built.

    0
    0
  • varied within a limit of about forty to fifty thousand inhabitants.

    0
    0
  • While the risk of loss of capital is not to be avoided, it is of the utmost importance to limit the amount of money expended while the extent and value of the deposit are still uncertain and to do the necessary work by the cheapest methods consistent with thoroughness.

    0
    0
  • Moreover, the limit of vertical depth at which rope of even the best quality will support its own weight only, with a proper margin of safety, is, say, io,000 to 12,000 ft.; and with the load the safe working limit of depth would be reached at 7000 to 8000 ft.

    0
    0
  • The possibility of hoisting and pumping from great depths has been discussed, and it remains now to consider the other conditions which will tend to limit mining operations in depth - namely, increase of temperature and increase of rock pressure.

    0
    0
  • This condition manifests itself, for example, in mine pillars which are subjected to a weight beyond the limit of elasticity of the mineral of which they are composed.

    0
    0
  • At such pressures all but the strongest rocks will be strained beyond their limit of elasticity.

    0
    0
  • The geographical boundary between the Pathan and Baluch races in the hills nearly corresponds with the northern limit of the district.

    0
    0
  • The Hindu Kush, formidable as it seems, and often as it has been the limit between petty states, has hardly ever been the boundary of a considerable power.

    0
    0
  • The organic derivatives of silicon resemble the corresponding carbon compounds except in so far that the silicon atom is not capable of combining with itself to form a complex chain in the same manner as the carbon atom, the limit at present being a chain of three silicon atoms. Many of the earlier-known silicon alkyl compounds were isolated by Friedel and Crafts and by Ladenburg, the method adopted consisting in the interaction of the zinc alkyl compounds with silicon halides or esters of silicic acids.

    0
    0
  • Its northern limit was the crest of Mt.

    0
    0
  • All metals are elastic to this extent that a change of form, brought about by stresses not exceeding certain limit values, will disappear on the stress being removed.

    0
    0
  • Strains exceeding the "limit of elasticity" result in permanent deformation or (if sufficiently great) in rupture.

    0
    0
  • per metre, which, for practical purposes, Wertheim takes as giving the limit of elasticity; column 4 gives the breaking strain.

    0
    0
  • The king secured the raising of the age limit to fifteen.

    0
    0
  • 2 enclosing a point B, the pressure p at B is the limit of OP/DA; and p =lt(AP/DA) =dP/ dA, (I) in the notation of the differential calculus.

    0
    0
  • ZUy2BB0 Bll; reducing, when the liquid extends to infinity and B 3 =0, to = xA o' _ - zUy 2B o so that in the relative motion past the body, as when fixed in the current U parallel to xO, A 4)'=ZUx(I+Bo), 4)'= zUy2(I-B o) (6) Changing the origin from the centre to the focus of a prolate spheroid, then putting b 2 =pa, A = A'a, and proceeding to the limit where a = oo, we find for a paraboloid of revolution P B - p (7) B = 2p +A/' Bo p+A y2 i =p+A'- 2x, (8) p+?

    0
    0
  • In the present survey we shall limit ourselves to the great formative periods in this literature - in Judaism to 200 B.C. t0 A.D.

    0
    0
  • in diameter, in any of which larger sizes they may be fruited in the following season, but, to be successful in this, the young rod produced must be thoroughly matured after it has reached its limit of growth.

    0
    0
  • A further saving of juice was sometimes possible if the market prices of sugar were such as to compensate for the cost of evaporating an increased quantity of added water, but a limit was imposed by the fact that water might be used in excess.

    0
    0
  • The prophylaxis is important in order to limit the spread of the parasites.

    0
    0
  • Neither group is represented in Australasia; Celebes being the eastern limit of the Bovidae.

    0
    0
  • Thus led to confront the questions of necessity and free will, his own views became unsettled, and the further he pursued his inquiries the more he was inclined to assert the freedom of man and limit the range of the unconditional decrees of God.

    0
    0
  • This identification has been confirmed by the discovery of a series of boundary inscriptions, apparently marking the limit of the city's lands, which have been found cut in rock - outcrops partly surrounding the site.

    0
    0
  • The commentary on the gospel of Matthew by Hrabanus Maurus was finished about 821, which is therefore the superior limit of date for the composition of the Heliand.

    0
    0
  • This reasoning does not appear conclusive, and if it be set aside, the limit of date for the beginning of the work is carried back to A.D.

    0
    0
  • This appears to be about the northern limit reached by the south-west monsoon, which from June to September brings a fairly abundant rainfall to the Yemen highlands, though the Tehama remains almost entirely rainless.

    0
    0
  • In the north, its boundary skirts the river Wawa; in the west, it corresponds with the eastern limit of the Nicaraguan highlands; in the south, it is drawn along the river Rama.

    0
    0
  • Nevertheless, though overpowered in the end, the Khazars had protected the plains of Europe from the Mahommedans, and made the Caucasus the limit of their conquests.

    0
    0
  • The age limit of a deputy is 25 years, and his income must be not less than $500.

    0
    0
  • This date, then, is a likely lower limit for Hermas's revision of his earlier prophetic memoranda, and their publication in a single homogeneous work, such as the Shepherd appears to be.

    0
    0
  • It was deprived of this privilege in 1891, when only the harbour was declared to be outside the customs limit.

    0
    0
  • For practical purposes the northern limit of Glossina, as at present known, may be shown on the map by drawing a line from Cape Verde to the Nile a little to the south-east of El Obeid, and thence to the coast of Somaliland at 4° N; while the southern boundary of the genus may similarly be represented by the Cunene river, in the south of Angola, and a line thence to the north-eastern end of St Lucia lake, in Zululand.

    0
    0
  • Under an act of the 12th of April 1883, as amended on the 4th of April 1902, education is compulsory for children between the ages of seven and fifteen, but the maximum limit is reduced to thirteen for children who are employed at lawful labour.

    0
    0
  • But there is a limit of imperturbability, and when that limit is reached, the subsequent passion is desperately vehement.

    0
    0
  • A wonderfully accurate register, or successive superposition of each block, is got mainly by the skill of the printer, who is assisted only by a mark defining one corner and another mark showing the opposite side limit.

    0
    0
  • There is scarcely any limit to the ingenuity and skill of the Japanese expert in diapering a metal surface.

    0
    0
  • In elliptic integrals, the amplitude is the limit of integration when the integral is expressed in the form f 4) 1% I - N 2 sin e 4) d4.

    0
    0
  • limit approaches that of the permanently frozen subsoil, going into the arctic circle in Scandinavia, elsewhere sinking to about 54° N.; in the S.

    0
    0
  • hemisphere the 45th parallel may indicate their limit.

    0
    0
  • limit on the permanently frozen underground, where hibernation is of course impossible.

    0
    0
  • The above expressions for the capacity of an ellipsoid of three unequal axes are in general elliptic integrals, but they can be evaluated for the reduced cases when the ellipsoid is one of revolution, and hence in the limit either takes the form of a long rod or of a circular disk.

    0
    0
  • As the temperature 0" is lowered, the area of the cycle increases, but since W can never exceed H', there must be a zero limit of temperature at which the pressure would vanish and the area of the cycle become equal to the whole heat absorbed at the higher temperature.

    0
    0
  • Taking this ideal limit as a theoretical or absolute zero, the value of H may be represented on the diagram by the whole area included between the two adiabatics BAZ, CDZ' down to the points where they intersect the isothermal of absolute zero, or the zero isopiestic OV asymptotically at infinity.

    0
    0
  • - Carnot adopted as the analytical expression of his principle the statement that the efficiency W/H, or the work obtainable per unit of heat by means of a perfect engine taking in heat at a temperature t° C. and rejecting heat at o° C., must be some function F(t) of the temperature t, the lower limit o° C. being supposed constant.

    0
    0
  • of temperature (o' - o") is small, the figure ABCD may be regarded as a parallelogram, and its area W as equal to the rectangle BE XEC. This is accurately true in the limit when (0' - 0") is infinitesimal, but in practice it is necessary to measure specific heats, &c., over finite ranges of temperature, and the error involved is generally negligible if the range does not exceed a few degrees.

    0
    0
  • Finally, the substance is reconverted into the first state at the temperature 0", completing the cycle by the abstraction of a quantity of heat By the application of the first law, the difference of the quantities of heat absorbed and evolved in the cycle must be equal to the work represented by the area of the cycle, which is equal to (p' - p") (v" - v') in the limit when the difference of pressure is small.

    0
    0
  • This quantity of heat is the same as that already found in equation (3), but for the small area BFC, which is negligibly small in the limit compared with H.

    0
    0
  • Since the amounts of heat supplied at constant pressure from E to F and from E to C are in the limit proportional to the expansions EF and EC which they produce, the ratio S/s is equal to the ratio ECÆF.

    0
    0
  • In the case of imperfect gases, all the available experimental evidence shows that the specific volume tends towards its ideal value, V =Re/p, in the limit, when the pressure is indefinitely reduced and the molecules are widely separated so as to eliminate the effects of their mutual actions.

    0
    0
  • True, there is confusion in the narrative of Hegesippus, and even a probability that the martyrdom of Symeon dated under Trajan really took place in the persecution of Domitian,before the arrest of the grandsons of Jude, for apart from the alleged age of Symeon (the traditional Jewish limit of human life, Gen.

    0
    0
  • cannot be determined as earlier than late in the second century, so that we are thrown back upon internal evidence for the inferior limit.

    0
    0
  • A sermon which he preached before the Synod at St Andrews against the dissoluteness of the clergy gave great offence to the provost, who cast him into prison, and might have carried his resentment to the extremest limit had not Alesius contrived to escape to Germany in 1532.

    0
    0
  • These precedents (in which it will be seen that "good offices" and "mediation" are used interchangeably) were followed in the general act agreed to at the Conference held at Berlin in1884-1885the object of which was to secure religious and commercial liberty and to limit warlike operations in the Congo basin.

    0
    0
  • Dawes found the best method for the purpose in question was to limit the aperture of the object-glass by a diaphragm having a double circular aperture, placing the line joining the centres of the circles approximately in the position angle under measurement.

    0
    0
  • In the southern coalfields it is usually known by the miners' name of " Farewell rock," from its marking the lower limit of possible coal working.

    0
    0
  • as the limit of practicable depth in working and i ft.

    0
    0
  • thick, which is about the limit for sound castings.

    0
    0
  • This is of course preferable, but is only applicable where the owner of the mine can afford to expend the capital required to reach the limit of the field in excess of that necessary when the raising of coal proceeds pari passu with the extension of the main roads.

    0
    0
  • Sometimes, but rarely, it happens that it is necessary to cut vertical grooves in the face to determine the limit of the fall, such limits being usually dependent upon the cleet or divisional planes in the coal, especially when the work is carried perpendicular to them or on the end.

    0
    0
  • With the increased activity of working characteristic of modern coal mining, the depth of the mines has rapidly increased, and at the present time the level of 4000 ft., formerly assumed as the possible limit for working, has been nearly attained.

    0
    0
  • The ego and non-ego limit one another, or determine one another; and, as limitation is negation of part of a divisible quantum, in this third act, the divisible ego is op-posed to a divisible non-ego.

    0
    0
  • If the ego be a striving power, then of necessity a limit must be set by which its striving is manifest.

    0
    0
  • But how can the infinitely active ego posit a limit to its own activity?

    0
    0
  • If the ego be pure activity, free activity, it can only become aware of itself by positing some limit.

    0
    0
  • Under the Territorial government when first organized the governor was given an extensive appointing power, as well as the right of an absolute veto on all legislation, but this speedily resulted in such friction between him and the legislature that Congress was petitioned for his removal, with the outcome that the office has since been much restricted in its appointing power, and the veto has been subjected to the ordinary United States limit, i.e.

    0
    0
  • Meanwhile, the same considerations had not been applied to time, so that in the days of Zeno of Elea time was still regarded as made up of a finite number of ` moments,' while space was confessed to be divisible without limit.

    0
    0
  • This was the state of opinion when the celebrated arguments against the possibility of motion, of which that of Achilles and the tortoise is a specimen, were propounded by Zeno, and such, apparently, continued to be the state of opinion till Aristotle pointed out that time is divisible without limit, in precisely the same sense that space is.

    0
    0
  • Boscovich himself, in order to obviate the possibility of two atoms ever being in the same place, asserts that the ultimate force is a repulsion which increases without limit as the distance diminishes without limit, so that two atoms can never coincide.

    0
    0
  • Speaking loosely, we may say that there is a probability P/(P+p), amounting to certainty in the limit, that one of these systems, selected at random, will be in the normal state after a sufficient time has elapsed.

    0
    0
  • This theory was supported by the French physician Jean Ray, who showed also that in the cases of tin and lead there was a limit to the increase in weight.

    0
    0
  • Passing Santarem, the highest point to which the tide ascends, and the limit of navigation for large sailing vessels and steamers, the river divides below Salvaterra into two arms, called the Tejo Novo (the only one practicable for ships) and the Mar de Pedro.

    0
    0
  • On this point the provincial synods of Illiberis (Elvira) in 305 and of Ancyra in 315 subsequently came to conflicting decisions, the council of Elvira forbidding the reception of offenders into communion during life, and the council of Ancyra fixing a limit to the penalty in the same cases.

    0
    0
  • On the east the limit of the Uganda Protectorate in 1901 was the thalweg of Lake Rudolf and a line drawn from the south-eastern coast of that lake south along the edge of the Laikipia and Kikuyu escarpments to the frontier of German East Africa.

    0
    0
  • above the sea, approximately the same limit as in Victoria.

    0
    0
  • Wholly novel and distinctive it is not, for the rulers of Catholic countries, like Spain and France, and of England (before the publication of the Act of Supremacy) could and did limit the pope's claims to unlimited jurisdiction, patronage and taxation, and they introduced the placet forbidding the publication within their realms_ of papal edicts, decisions and orders, without the express sanction of the government - in short, in many ways tended to approach the conditions in Protestant lands.

    0
    0
  • Thus defined, idealism is opposed to ordinary common-sense dualism, which regards knowledge or experience as the result of the more or less accidental relation between two separate and independent entities - the mind and its ideas on one side, the thing with its attributes on the other - that serve to limit and condition each other from without.

    0
    0
  • The limit of size was reached in an immense clipper of 4555 tons, and the greatest speed was attained in a passage from San Francisco to Boston in seventy-five days, and from San Francisco to Cork in ninety-three days.

    0
    0
  • The expression 27ra for the length of the circumference can be deduced by considering the limit of the area cut off from a circle of radius a by a concentric circle of radius a - a, when a becomes indefinitely small; this is an elementary case of differentiation.

    0
    0
  • By considering the circle as the limit of a polygon, it follows that the formulae (iii) and (v) of § 26 hold for a right circular cylinder and a right circular cone; i.e.

    0
    0
  • Barley is the most hardy of all cereal grains, its limit of cultivation extending farther north than any other; and, at the same time, it can be profitably cultivated in sub-tropical countries.

    0
    0
  • Diplomatic interviews, exhausting journeys, impressive mass meetings, brilliant literary propaganda - all these methods were employed by him to the utmost limit of self-denial.

    0
    0
  • For, in contrast to the earliest Synoptic tradition, where the full Christian truth and its first form remain undistinguished, and where its earthly future appears restricted to that generation, in John the Eternal Life conception largely absorbs the attention away from all successiveness; Jesus' earthly life does not limit the religion's assimilation of further truth and experience: " I have many things to tell you, but you cannot bear them now," " the Father will give you another Helper, the spirit of truth, who will abide with you for ever " (xvi.

    0
    0
  • The sound travelled to and fro in the pipes several times before the signals died away, and he found that the velocity decreased with the intensity, tending to a limit for very feeble sounds, the limit being the same whatever the source.

    0
    0
  • This limit for a diameter 1 1 m.

    0
    0
  • But this limit varies greatly with different individuals and with age for the same individual.

    0
    0
  • Koenig constructed a series of bars forming a harmonicon, the frequency of each bar being calculable, and he found the limit to be between 16,000 and 24,000.

    0
    0
  • Except in the south, towards Bohemia, where the Erzgebirge forms at once the limit of the kingdom and of the empire, the boundaries are entirely political.

    0
    0
  • A counsel has a general authority to deal with the conduct of an action, which includes authority to refer it to arbitration, but he has no authority to refer an action against the wishes of his client, or on terms different from those which his client has sanctioned; and if he does so, the reference may be set aside, although the limit put by the client on his counsel's authority is not made known to the other side when the reference is agreed upon (Neale v.

    0
    0
  • In fact, as the span increases a point is reached at which the dead weight of the superstructure becomes so large that a limit is imposed to any further increase of span.

    0
    0
  • The weight of main girders increases with the span, and there is for any type of bridge a limiting span beyond which the dead load stresses exceed the assigned limit of working stress.

    0
    0
  • Let A be the dead load and B the live load, producing stress in a bar; p =B / A the ratio of live to dead load; f i the safe working limit of stress for a bar subjected to a dead load only and f the safe working stress in any other case.

    0
    0
  • In the Forth bridge for members in which the stress varied from o to a maximum frequently, the limit was 5.0 tons per sq.

    0
    0
  • r=12 1=600 to 750 =10 =720 tO 900 = 8 =900 t0 1120 The practical limit of span would be less than this.

    0
    0
  • The constitution fixes the debt limit at $100,000 over and above the share of the territorial debt assumed at the time of the formation of the state.

    0
    0
  • Behind rise rugged masses of rock, the southern wall of the Anjera country, practically closed to Europeans, and across the valley are the hills which form the northern limit of the still more impenetrable Rif.

    0
    0
  • Many trees of the eastern forest, such as basswood, sugar, river and red maple, red, white and black ash, red and rock elm, black and bur oak, white and red pine and red cedar find their western limit here.

    0
    0
  • The prickly ash, Virginian creeper and staff-tree find here their northern limit; and the mountain maple, Canada blueberry, dwarf birch and ground hemlock their southern limit.

    0
    0
  • Of 1500 species of herbaceous plants in the Red river basin, it is estimated that fully half reach here their geographical limit or limit of frequent occurrence.

    0
    0
  • Local indebtedness is limited to 5% of the assessed value of the local property, but incorporated cities may by special vote increase this limit.

    0
    0
  • 90, this gives a limit for the death of Flaccus.

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  • Captain Christopher Billopp made the trip within the time limit and was rewarded with a grant of 1163 acres at the south end of the island.

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  • and the Asiatic mainland, all rest on a great submerged bank, nowhere more than ioo fathoms below sea-level, which may be considered a continuation of the continent; while to the east the depth of the sea has been found at various places to be from 1000 to 2500 fathoms. As the value of this fact was particularly emphasized by Wallace, the limit of the shallow water, which is found in the narrow but deep channel between Bali and Lombok, and strikes north to the east of Borneo, has received the name of "Wallace's Line."

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  • Lord Kelvin assumed as a superior limit of k, the ratio of amplitude to wave-length, the value io 2, which is a very safe limit.

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  • But this marked the limit of his triumph.

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  • The determination to limit still further the power of the executive was at the bottom of this fatal parsimony, with the inevitable consequence that, while the king and the senate were powerless, every great noble or lord-marcher was free to do what he chose in his own domains, so long as he flattered his "little brothers," the szlachta.

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  • of the charge to the weight of the shot so that the advance of the shot during the conbustion of the charge should prevent the maximum pressure from exceeding a safe limit, as shown by the maximum ordinate of the pressure curve CPD in fig.

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  • Suppose this limit is fixed at 16 tons per sq.

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  • The thermochemical properties of the constituents of an explosive will assign an upper limit to the volume, temperature and pressure of the gas produced by the combustion; but much experiment is required in addition.

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  • The lower limit of the Roman age of classical studies may be conveniently placed in the year 529.

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  • The Apocalypse is plausibly dated by Reinach and Harnack near to the precise year 93, and the other writings may be referred to the reign of Domitian (81-96), though many critics would extend the limit to some two decades later.

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  • (vi.) It is in accordance with this that a time limit is placed upon the books included in the New Testament.

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  • 277) onwards accused the Jews of disregarding the (Christian) equinoctial limit, and of sometimes placing the Paschal full moon before it; and it is possible that in the time of Christ the 14th of Nisan might have fallen as far back as the 17th of March.

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  • In the east the north-east trade-belt extends between 5° and 25° N.; the south-east trade crosses the equator, and its mean southern limit is 25° S.

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  • As a group they are cosmopolitan, their northern limit approaching that of the permanently frozen subsoil, while in the southern hemisphere the southern point of Patagonia forms the farthest limit.

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  • The Lacertidae or true lizards comprise about 20 genera, with some 1 00 species, most abundant in Africa; their northern limit coincides.

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  • And with this agrees a pottery cylindrical vessel, with official stamp on it (ΔHM0ΣION, &c.), and having a fine black line traced round the inside, near the top, to show its limit; this seems to be probably very accurate, and contains 58.5 cub.

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  • 94), and the general doctrine of a limit to all the modes by which national wealth may accumulate.

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  • (ii.) Limit of (x h -1) /h =log x, when h is indefinitely diminished.

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  • Descending to the lowlands on either side of the plateau, the temperature rises steadily until the upper limit of the tropical region, called tierras calientes, is reached, where the climate is hot, humid and unhealthy, as elsewhere in the forested coastal plains of tropical America.

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  • A constitutional amendment of 1890 permits the re-election of the president without limit, the original clause prohibiting such a re-election.

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  • Suffrage is extended to all Mexican citizens who possess honest means of livelihood, the age limit being 18 for the married and 21 for the unmarried.

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  • The easternmost limit of prehistoric Mayan civilization, on the Pacific coast of Central America, is Fonseca Bay, with the island of Zacate Grande.

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  • Approximately its south border ran from a point slightly east of Tehuantepec to the bay of Honduras, and its north limit was that of the modern states of Michoacan and Guanajuato, then cutting across San Luis Potosi to a point just above Tampico.

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  • Nature must not be conceived as merely abstract limit to the infinite striving of spirit, as a mere series of necessary thoughts for mind.

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  • - a limit which included the southern part of Bechuanaland.

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  • The limit of concessions to the Boers had been reached, and Sir Charles Warren's force-4000 strong - had reached the Vaal river in January 1885.

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  • (which lastmentioned line marks the eastern limit of German South-West Africa).

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  • In the countries which bound its northern limit it is not frequently met with, but in South America it is quite common, and Don Felix de Azara states that when the Spaniards first settled in the district between Montevideo and Santa Fe, as many as two thousand were killed yearly.

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  • The Arctic or ArcticAlpine zone covers in the United States only the tops of a few mountains which extend above the limit of trees, such as Mt Katahdin in Maine, Mt Washington and neighboring peaks in the White Mountains of New Hampshire, and the loftier peaks of the Rocky, Cascade and Sierra Nevada Mountains.

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  • The Transition zone, in which the extreme southern limit of several boreal species overlaps the extreme northern.

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  • limit of numerous austral species, is divided into an eastern humid or Alleghanian area, a western arid area, and a Pacific coast humid area.

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  • Flora.The Alpine flora, which is found in the United States only on the tops of those mountains which rise above the limit of trees, consists principally of a variety of plants which bloom as soon as the snow melts and for a short season make a brilliant display of colors.

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  • If the limit be drawn at a population of 2500 (a truer division) the urban.

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  • The lower limit is therefore a truer division line to-day.

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  • Comparing the old constitutions with the new ones, it may be said that the note of those enacted in the first thirty or forty years of the republic was their jealousy of executive power and their careful safeguarding of the rights of the citizen; that of the second period, from 1820 to the Civil War (186165), the democratization of the suffrage and of institutions generally; that of the third period (since the war to the present day), a disposition to limit the powers and check the action of the legislature, and to commit power to the hands of the whole people voting at the polls.

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  • The rules are very complicated, and considerably limit the power of debate.

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  • This arrangement has been provided at several weirs on the Thames, to afford control of the flood discharge, and reduce the extent of the inundations; the largest of these composite weirs on that river is at the tidal limit at Teddington, where the two central bays, with a total length of 2421 ft., are closed by thirty-five draw-doors sliding between iron frames supporting a foot-bridge, from which the doors are raised by a winch.'

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  • The Crathis, which forms at its mouth the southern limit of the province, belongs almost wholly to the territory of the Bruttii, but it receives a tributary, the Sybaris (Coscile), from the mountains of Lucania.

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  • As early as 1872 the operations of foreign sealers attracted the attention of the United States government, but any precautions then taken seem to have been directed against the capture of seals on their way through the passages between the Aleutian Islands, and no claim to jurisdiction beyond the three-mile limit appears to have been put forward.

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  • They also claimed an interest in the fur seals, involving the right to protect them outside the three-mile limit.

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  • (5) Had the United States any and what right of protection over, or property in, the fur seals frequenting the islands of Bering Sea when such seals are found outside the three-mile limit?

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  • It became necessary to enforce the terms of that convention, under which the fishermen of the United States could not pursue their avocations within the three miles' limit, tranship cargoes of fish in Canadian ports, or enter them except for shelter, water, wood or repairs.

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  • It was decided that the United States had no jurisdiction in the Bering Sea beyond the three miles' limit, but the court also made regulations to prevent the wholesale slaughter of fur-bearing seals.

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  • The philosophy of Plato is dialogue trying to become science; that of Aristotle science retaining traces of dialectic. Secondly as regards subjectmatter, even in his early writings Aristotle tends to widen the scope of philosophic inquiry, so as not only to embrace metaphysics and politics, but also to encourage rhetoric and poetics, which Plato tended to discourage or limit.

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  • Finally, it concludes with the limit (6pos) of goods.

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  • First it finds the limit of goods of fortune in that desire and possession of them which will conduce to the contemplation of God, whereas that which prevents the service and contemplation of God is bad.

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  • Finally, the treatise concludes with saying that the limit of gentlemanliness has thus been stated, meaning that its limit is the service and contemplation of God and the control of desire by reason.

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  • They also become less like one another than before: for the treatment of good fortune, gentlemanliness, and their limit is more theological in the Eudemian Ethics than in the Magna Moralia.

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  • 505 B) to identify the form of good, without which nothing is good, with the gentlemanly thing (KaXov Kai ayaObv), without which any possession is worthless, he inspired into the author of the Eudemian Ethics the very limit (ipos) of good fortune and gentlemanliness with which it concludes, only without Plato's elevation of the good into the form of the good.

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  • In the Nicomachean as in the Eudemian Ethics the limit above moral virtue is right reason, or prudence, which is right reason on such matters; and above prudence wisdom, for which prudence gives its orders; while wisdom is the intelligence and science of the most venerable objects, of the most divine, and of God.

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  • His charities were without limit; thus he contributed £300,000 for the relief of the sufferers from the Bengal famine of 1873-1874, and it is computed that during his possession of the raj he expended at least f 2,000,000 on charities, works of public utility, and charitable remissions of rent.

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  • By the Constitution the tax rate is limited to $5 on the thousand, and, as the rate of taxation has increased faster than the taxable property, the state has been forced to contract several temporary loans since 1901, none of which has exceeded $200,000, the limit for each year set by the Constitution.

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  • He was handicapped by the mutual jealousy of the Saxons and the Poles, and a struggle broke out in Poland which was only ended when the king promised to limit the number of his army in that country to 18,000 men.

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  • The trees of the genus are closely allied in botanic features, as well as in general appearance, so that it is sometimes difficult to assign to them determinate specific characters, and the limit between species and variety is not always very accurately defined.

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  • above the sea, the limit of the luxuriant growth of that hardy conifer in Britain; and in moist valleys or on imperfectly drained acclivities Norway spruce is more suitable.

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  • In 1834, in the Tennessee constitutional convention he endeavoured to limit the influence of the slaveholders by basing representation in the state legislature on the white population alone.

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  • African coast, lying between the Syrtis Major and Marmarica, the western limit being Arae Philaenorum, and the eastern a vague line drawn inland from the head of the gulf of Platea (Bomba).

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  • On the south the limit was undefined, but understood to be the margin of the desert, some distance north of the oasis of Augila (Aujila).

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  • Although in general there is no limit on the amount of interest which a borrower may agree to pay, equity has always been ready to grant relief from unconscionable bargains.

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  • The probable geological connexion with New Guinea would account for the Papuan character of the fauna of the Solomons, which form the eastern limit of certain Papuan types.

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  • The Solomon Islands are, in the Pacific, the eastern limit of the use of the shield.

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  • It is the supreme duty, therefore, of all states to place some limit on these increasing armaments, and find some means of averting the calamities which threaten the whole world."

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  • Tile limit of profitable cultivation has almost been reached.

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  • 1 Within the limit of this article it is not possible to give a complete account of this most intricate branch of physics; the writer therefore confines himself to a summary of the problems which now engage scientific attention, referring the reader for details to H.

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  • A limit to homogeneity of radiation is ultimately set by the so-called Doppler effect, which is the change of wave-length due to the translatory motion of the vibrating molecule from or towards the observer.

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  • The most complete hydrogen spectrum is that measured by Evershed 8 in the flash spectrum observed during a total solar eclipse, and contains thirty-one lines, all of which agree with considerable accuracy with the formula, if the frequency number n is calculated correctly by reducing the wave-length to vacuo.9 It is a characteristic of Balmer's formula that the frequency approaches a definite limit as s is increased, and it was soon discovered that in several other spectra besides hydrogen, series of lines could be found, which gradually come nearer and nearer to each other as they become fainter, and approach a definite limit.

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  • The present writer, therefore, in his Theory of Optics, adopted different names, and called the series respectively the " Trunk," the " Main Branch " and the " Side Branch," the main branch being identical with the second subordinate series; the limit of frequency for high values of s is called the " root " of the series, and it is found in all cases that the two branches have a common root at some point in the trunk.

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  • Lord Rayleigh,' who has also investigated vibrating systems giving series of lines approaching a definite limit of " root," remarks that by dynamical reasoning we are always led to equations giving the square of the period and not the period, while in the equation representing spectral series the simplest results are obtained for the first power of the period.

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  • We have first the Doppler effect, which, according to Michelson's experiment, is the chief cause of the limit at very low pressures, but it is too small to account for the widening which is now under discussion.

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  • The law places no limit on the amount that these committees may spend.

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  • But in the treaty of 1894 between the United States and Japan there is nothing to limit the free immigration of Japanese; and several companies have been formed to promote it.

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  • F His point was that there are no things in themselves different from minds or acting on them; that man is no product of things; nor does his thinking arise from passive sensations caused by things; nor is the end of his existence attainable in a world of things; but that he is the absolute free activity constructing his own world, which is only his own determination, his self-imposed limit, and means to his duty which allies him with God.

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  • But, he added, as the Ego is not conscious of this self-determining activity, but forgets itself, the non-Ego seems to be something independent, a foreign limit, a thing in itself, or per se.

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  • Hence he united theoretical and practical reason, which Kant had separated, and both with will, which Kant had distinguished; for he held that the Ego, in positing the non-Ego, posits both its own limit and its own means to the end, duty, by its activity of thinking which requires will.

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  • As the same limit is applied by him to all transcendent rational " ideals," and especially to those which refer to the content of the notion of the world, and, like all psychological and ontological "ideals," belong to the imaginary transcendent, his conclusion is that reason, in transcending experience, logically conceives " ideals," but never logically infers corresponding realities.

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  • It was to be, as it were, a Chinese wall, marking the definite limit of the Roman world.

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  • The wall of Hadrian remained for nearly two hundred years more the northern limit of Roman power in the extreme west.

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  • Probably it is contemporaneous with either the turf wall or the stone wall, and marked some limit of the civil province of Britain.

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  • The town walls, which can still be traced and indeed are partly standing, had a circuit of not more than 2 m., and the main street was less than half a mile in length; but remains of buildings on the road for fully a mile beyond the south gate, show that the town had outgrown the limit of its fortifications.

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  • 746) makes the south limit of Mesopotamia the Median wall; Pliny (v.

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  • In 1917 he was made commanding-general, U.S. army, but later in the year retired, having reached the age limit.

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  • In 1784 Virginia agreed to the extension of the line and to the establishment of the western limit (the present boundary between Pennsylvania and Ohio) as the meridian from a point on the Mason and Dixon line five degrees of longitude west of the Delaware river.

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  • in the central part, its northern limit being marked by the chain of lakes running N.W.

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  • Some pairs of liquids are soluble in each other in all proportions, but, in general, when dealing with solutions of solids or gases in liquids, a definite limit is reached to the amount which will go into solution when the liquid is in contact with excess of the solid or gas.

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  • This limit depends on the nature of the two components, on the temperature and on the pressure.

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  • When the limit is reached the solution is said to be saturated, and the system is in equilibrium.

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  • In the limit then, when the concentration of the solution becomes vanishingly small, theory shows that the osmotic pressure is equal to the pressure of a gas filling the same space.

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  • If we measure the osmotic pressure Po when the solvent is under its own vapour pressure only, that is, when P = p = Po, the term involving V vanishes, and the limit of integration P' becomes Pod-p. If we assume that V', the volume change on dilution, varies regularly or not appreciably with pressure, we may write the first integral as V' (P o -{- p - p') where V' now denotes its mean value between the limits.

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  • At the limit of dilution, when the concentration of a solution approaches zero, we have seen that thermodynamical theory, verified by experiment, shows that the osmotic pressure has the same value as the gas pressure of the same number of molecules in the same space.

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

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  • Such schools are for children up to the age of fourteen, and the limit of detention is sixteen.

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  • As originally defined, argon included small proportions of these gases, but it is now preferable to limit the name to the principal constituent and to regard the newer gases as "companions of argon."

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  • In fact, as mentioned in the article Mouse, there is no possibility of defining the term "rat" when used in a sense other than as relating to the two species above mentioned; while there is also no hard-and-fast limit between the terms "rats" and "mice" when these are likewise employed in their now extended sense, "rats" being merely larger "mice," and vice versa.

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  • reconquered Phoenicia as far as Beira, and carved three tablets on the rock beside the Nahr el-Kelb to commemorate his victories; under the XIXth and XXth Dynasties this seems to have remained the northern limit of the Egyptian Empire.

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  • - If the northern limit of the Altis, like the west, south and east, had been traced by a boundary wall, this would have had the effect of excluding from the precinct a spot so sacred as the Cronion, " Hill of Cronus," inseparably associated with the oldest worship of Zeus at Olympia.

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  • The Exedra of Herodes Atticus stood at the north limit of the Altis, close to the north-east angle of the Heraeum, and immediately west of the westernmost treasure-house (that of Sicyon).

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  • Timor lies in deep water a little to the west of the hundred fathom line, which marks in this direction the proper limit of the shallow Arafura Sea, extending between it and northern Australia.

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  • In creased length necessitated an increase in the diameter of the main tube to limit the amplitude of the vibrations caused by being pushed through the water.

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  • It is true that as much might be inferred from Persons the testimony of the romance writers; historical empowered evidence, however, tends to limit the proposition, and to confer the sounder conclusion appears to be, as Sir Harris Knighthood.

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  • Twenty-two was the extreme limit of the naval force the States were able to commission.

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  • One result of this limit, marked out by Nature herself, is that the waters which flow down the northern slope of the Alps find their way either into the North Sea through the Rhine, or into the Black Sea by means of the Danube, not a drop reaching the Baltic Sea.

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  • A more natural limit is afforded by the presence of the chief deciduous trees - oak, beech, ash and sycamore.

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  • These do not reach exactly to the same elevation, nor are they often found growing together; but their upper limit corresponds accurately enough to the change from a temperate to a colder climate that is further proved by a change in the wild herbaceous vegetation.

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  • This limit usually lies about 4000 ft.

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  • For a quarter of the year the flocks and herds are fed on the upper pastures; but the true limit of the wealth of a district is the number of animals that can be supported during the long winter, and while one part of the population is engaged in tending the beasts and in making cheese and butter, the remainder is busy cutting hay and storing up winter food for the cattle.

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  • In the Northern Alps the pine forests rarely surpass the limit of 6000 ft.

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  • Throughout the Teutonic region of the Alps the word Alp is used specifically for the upper pastures where cattle are fed in summer, but this region is held to include the whole space between the uppermost limit of trees and the first Alpine p pp appearance of permanent masses of snow.

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  • Three species of rhododendron vie with each other in the brilliancy of their masses of red or pink flowers; the common juniper rises higher still, along with three species of bilberry; and several dwarf willows attain nearly to the utmost limit of vegetation.

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  • The upper limit of this region coincides with the so-called limit of perpetual snow.

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  • surface, and is gradually converted into glacier-ice, which descends by a slow secular motion into the deeper valleys, where it goes to swell perennial streams. As on a mountain the snow does not lie in beds of uniform thickness, and some parts are more exposed to the sun and warm winds than others, we commonly find beds of snow alternating with exposed slopes covered with brilliant vegetation; and to the observer near at hand there is no appearance in the least corresponding to the term limit of perpetual snow, though the case is otherwise when a high mountain-chain is viewed from a distance.

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  • The occurrence of favourable meteorological conditions during several successive seasons may and does increase the extent of the snow-fields, and lower the limit of seemingly permanent snow; while an opposite state of things may cause the limit to rise higher on the flanks of the mountains.

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  • In some parts of the Alps the limit maybe set at about 8000 ft.

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  • There seems to be sufficient reason, however, to maintain each of these groups as a separate system and limit the term Carboniferous (carboniferien) in the manner indicated above.

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  • Nickel steel, which usually contains from 3 to 3.50% of nickel and about 0.25% of carbon, combines very great tensile strength and hardness, and a very high limit of elasticity, with great ductility.

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  • The combination of ductility, which lessens the tendency to break when overstrained or distorted, with a very high limit of elasticity, gives it great value for shafting, the merit of which is measured by its endurance of the repeated stresses to which its rotation exposes it whenever its alignment is not mathematically straight.

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  • Such an intermittently applied stress is far more destructive to iron than a continuous one, and even if it is only half that of the limit of elasticity, its indefinite repetition eventually causes rupture.

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  • Another defect is its relatively low elastic limit.

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  • Chrome steel, which usually contains about 2% of chromium and o 80 to 2% of carbon, owes its value to combining, when in the " hardened " or suddenly cooled state, intense hardness with a high elastic limit, so that it is neither deformed permanently nor cracked by extremely violent shocks.

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  • In limiting the diameter at the tuyeres to 122 ft., the height of the boshes to one which will keep their upper end below the region of pastiness, and their slope to one over which the burning coke will descend freely, we limit the width of the furnace at the top of the boshes and thus complete the outline of the lower part of the furnace.

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  • For the acid variety of this process, which does not remove sulphur, this most harmful element must be held below a limit which is always low, though it varies somewhat with the use to which the steel is to be put.

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  • Indeed, no limit has yet been found to the temperature which can be reached, if matters are so arranged that not only the carbon and silicon of the pig iron, but also a considerable part of the metallic iron which is the iron itself, are oxidized by the blast; or if, as in the Walrand-Legenisel modification, after the combustion of the initial carbon and silicon of the pig iron has already raised the charge to a very high temperature, a still further rise of temperature is brought about by adding more silicon in the form of ferro-silicon, and oxidizing it by further blowing.

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  • Fortunately its embrittling effect on cast iron is very much less than on steel, so that the upper limit or greatest tolerable proportion of phosphorus, instead of being o.10 or better 0.08% as in the case of rail steel, may be put at 0.50% in case of machinery castings even if they are exposed to moderate shocks; at 1.60% for gas and water mains in spite of the gravity of the disasters which extreme brittleness here might cause; and even higher for castings which are not exposed to shock, and are so thin that the iron of which they are made must needs be very fluid.

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  • But in addition to the greater cost of steel founding as compared with rolling there are two facts which limit the use of steel castings: (1) they are not so good as rolled products, because the kneading which the metal undergoes in rolling improves its quality, and closes up its cavities; and (2) it would be extremely difficult and in most cases impracticable to cast the metal directly into any of the forms in which the great bulk of the steel of commerce is needed, such as rails, plates, beams, angles, rods, bars, and wire, because the metal would become so cool as to solidify before running far in such thin sections, and because even the short pieces which could thus be made would pucker or warp on account of their aeolotachic contraction.

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  • We can trace the advance of the Roman supremacy with greater ease after 387 B.C., inasmuch as from this year (adopting the traditional dating for what it is worth) until 2 99 B.C. every accession of territory is marked by the foundation of a group of new tribes; the limit of 35 in all was reached in the latter year.

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  • beyond this lies the Soo-fathom limit.

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  • The provinces are governed by a governor nominated by the king, the canton is a judicial division for marking the limit of the jurisdiction of each juge de paix, and the commune is the administrative unit, possessing self-government in all local matters.

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  • and reaches three degrees farther north in small groups or isolated specimens; the confluence of the Bug and the Narew may be regarded as its eastern limit.

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  • from each), frequently referred to in the Bible as the southern limit of Palestine ("Dan to Beersheba," Judg.

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  • He at once brought his second line back to oppose them, but while he was doing so the French leader filled up the gap between himself and the frontal assailants by posting infantry around Wagnelee, and also guns on the neighbouring hill whence their fire enfiladed both halves of the enemy's army up to the limit of their ranging power.

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  • It is the limit of navigation on the Irrawaddy, and the terminus of the railway from Rangoon and Sagaing.

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  • In the north-east, between the Lot and its tributary the Truyere, lies the lonely pastoral plateau of the Viadene, dominated by the volcanic mountains of Aubrac, which form the north-eastern limit of the department and include its highest summit (4760 ft.).

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  • in China; challenged Russia as to her intentions in Manchuria, securing a promise to evacuate the country on the 8th of October 1903; and in 1904 again urged "the administrative entity" of China and took the initiative in inducing Russia and Japan to "localize and limit" the area of hostilities.

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  • determinare, to prescribe or limit), in ethics, the name given to the theory that all moral choice, so called, is the determined or necessary result of psychological and other conditions.

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  • Seed was brought from China by the priest Miyoye, and planted first in the south island, Kiushiu, whence the cultivation spread northwards till it reached the high limit of 39° N.

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  • But this was looked on as too near the limit of safety to be relied on, and in 1899 subsidiary weirs were started across both branches of the river a short distance below the two barrages.

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  • The introduction of workmens insurance, factory legislation, and other measures dealing with the condition of the working classes by imperial legislation, was at a later period still further to limit the scope of state legislation.

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  • It was not, however, possible to limit the imperial responsibility as Bismarck intended.

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  • Among the more important of its theses are: (1) that the chief problem of practical reformers is to limit the increase of population, on the assumption that capital does not naturally increase at the same rate as population (ii.

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  • above sea-level, the upper limit of the members of the orange tribe; the second ascends to about 3300 ft., the limit of the growth of wheat, the vine and the hardier evergreens; and the third, that of forests, reaches from about 3300 ft.

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  • The limit in height of the olive is about 2700 ft., and that of the vine about 3500 ft.

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  • Those of the earliest period, the lower limit of which is put about 150o B.C., are aeneolithic, metal being, however, rare and only found in the form of small ornaments; pottery with linear decoration is abundant.

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  • The plan devised by the London Convention of fixing a limit to administrative expenditure was abolished.

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  • The government of the French Republic, for their part, declare that they will not obstruct the action of Great Britain in that country by asking that a limit of time be fix.d for the British occupation, er in any other manner.

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  • Sixtus set no limit to his plans; and what he achieved in his short pontificate is almost incredible; the completion of the dome of St Peter's; the loggia of Sixtus in the Lateran; the chapel of the Praesepe in Sta Maria Maggiore; additions.

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  • 98° 33 r" W., which with the neighbouring Ixtaccihuatl (Aztec " white woman ") forms the south-eastern limit of the great basin known as the " Valley of Mexico."

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  • This redactor, however, did not limit the Horeb covenant to the Decalogue, but retained E's legislation alongside of it.

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  • As the development of embryo and endosperm proceeds within the embryo-sac, its wall enlarges and commonly absorbs the substance of the nucellus (which is likewise enlarging) to near its outer limit, and combines with it and the integument Fruit and to form the seed-coat; or the whole nucellus and even the integument may be absorbed.

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  • In Turkey, and above all in Egypt, it has been found necessary greatly to limit the sphere and influence of the canonical jurists and to introduce institutions nearer to Western legal usage.

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  • The captions and headings in this Agreement are inserted only as a matter of convenience, and in no way define, limit or in any other way described the scope of this Agreement or the intent of any provision hereof.

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  • It runs from the mouth of Loch Ryan in a sinuous north-easterly direction, keeping near the northern limit of the region till it reaches the basin of the Nith, where it quits the Uplands altogether, descends into the lowlands of Ayrshire, and, after circling round the headwaters of the Nith, strikes south-eastwards across half the breadth of the Uplands, then sweeps north and eastwards between the basins of the Clyde, Tweed and Annan, and then through the moors that surround.

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  • In descending order they embrace the following subdivisions, whose thickness in the district of Durness is estimated at about 2000 ft.: (e) limestones, dolomites and cherts, with numerous organic remains; (d) grit and quartzite, with Saltarella and Olenellus (Serpulite Grit); (c) calcareous shales and dolomites, with many annelid casts and sometimes Olenellus (Fucoid Beds); (b) Upper Quartzite, often crowded with annelid pipes (Pipe Rock Quartzite); (a) Lower Quartzite - their original upper limit can nowhere be seen, for they have been overridden by the Eastern Schists in those gigantic underground disturbances already referred to, by which these rocks, the Archean gneiss and Torridonian sandstone, were crumpled, inverted, dislocated and thrust over each other.

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  • It will thus be seen that the far north and far south alike decreased in population, the decline being largely due to physical conditions, though it need not be supposed that the limit of population was reached in either area.

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  • The Oxus figures in Persian romantic history as the limit between Iran and Turan, but the substratum of settled population to the north as well as the south was probably of Iranian lineage.

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  • From 1897 to 1903 the efforts of the Street Railway Companies of Chicago to extend their franchise, and of the city of Chicago to secure municipal control of its street railway system, resulted in the statute of 1903, which provided for municipal ownership. But the proposed issue under this law of bonds with which Chicago was to purchase or construct railways would have increased the city's bonded indebtedness beyond its constitutional limit, and was therefore declared unconstitutional in April 1907 by the supreme court of the state.

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  • Pearling Industry.-The pearling grounds of Bahrein are in over six fathoms of water, mostly beyond the three-mile limit.

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  • It has been conjectured that the "estuary" here mentioned refers to the Baltic, the existence of which as a separate sea was unknown to all ancient geographers; but the obscure manner in which it is indicated, as well as the inaccuracy of the statements concerning the place from whence the amber was actually derived, both point to the sort of hearsay accounts which Pytheas might readily have picked up on the shores of the German Ocean, without proceeding farther than the mouth of the Ems, Weser or Elbe, which last is supposed by Ukert to have been the limit of his voyage in this direction.

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  • His personal tastes, apart from his activities as a Maecenas, being economical, he endeavoured also to limit public expenditure, in a way which was not always a benefit to the country.

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  • Agur's word, breathing the spirit of scepticism, falls into the category represented by Ecclesiastes, and we may probably set the year 200 (or possibly 150) B.C. as the lower limit of the Book of Proverbs; allowing a century for the collection and combination of the various parts, we shall have the year 300 B.C. as the date of its earliest section.

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  • 7 is probably the earlier limit (see Charles, op. cit.

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  • Except in the west, where the country is bordered by the Mediterranean Sea, the limit of this territory cannot be laid down on the map as a definite line.

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  • In this way, then, Africa would have an irregular coast-line, prolonged greatly south of the equator into the Indian Ocean, and running up with an advance upon the present line until it reached its northwest limit outside and south of Sokotra.

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  • In automatic fire-sprinklers the orifices of the pipes are closed with fusible metal, which melts and liberates the water when, owing to an outbreak of fire in the room, the temperature rises above a predetermined limit.

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  • South of this the Suliman mountains may be taken as the western limit of the monsoon's action.

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  • During the summer it remains high up in the mountains, near the limit of snow, but in the winter it descends to 5000 ft.

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  • The limit of taxation and restriction is the point at which too great encouragement is given to smuggling.

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  • But if it be possible to mount a fixed telescope by which a solar or stellar image can be formed within a laboratory we give the following advantages: - (1) There is no mechanical limit to the length of the telescope; (2) the clockwork and other appliances to move the mirror, which reflects the starlight along the axis, are much lighter and smaller than those required to move a large telescope; (3) the observer remains in a fixed position, and spectroscopes of any weight can be used on piers within the laboratory; and (4) the angular value of any linear distance on a photographic plate can be determined by direct measurement of the distance of the photographic plate from the optical centre of the object-glass.

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  • From that date the sovereignty of Portugal over the coast-line, from its present southern limit as far north as Ambriz (7° 50' S.) has been undisputed save between 1640 and 1648, during which time the Dutch attempted to expel the Portuguese and held possession of the ports.

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  • In 1909 free trade was established between the United States and the Philippines in all goods which are the growth, product or manufacture of these countries, with the exception of rice, except that a limit to the free importation from the Philippines to the United States in any one year is fixed on cigars at 15,000,000; on wrapper tobacco and on filler tobacco, when mixed with more than 15% of wrapper tobacco, at 300,000 th; on filler tobacco at 1,000,000 lb and on sugar at 300,000 gross tons.

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  • Rumford proposed to eliminate this correction by starting with the initial temperature of the calorimeter as much below that of its enclosure as the final temperature was expected to be above the same limit.

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  • The Advantage Of This Method Is That All The Conditions Are Steady, So That The Observations Can Be Pushed To The Limit Of Accuracy And Fig.

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  • This Is The Value Of The Minimum Of Atomic Heat Calculated By Perry From Diatomic Hydrogen, But The Observations Themselves Might Be Equally Well Represented By Taking The Imaginary Limit 3, Since The Quantity Actually Observed Is The Mean Specific Heat Between O° And 182 5° C. Subsequent Experiments On Other Metals At Low Temperatures Did Not Indicate A Similar Diminution Of Specific Heat, So That It May Be Doubted Whether The Atomic Heats Really Approach The Ideal Value At The Absolute Zero.

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  • Far within the limit to which telescopic vision can extend binary systems are now being found by the spectroscope.

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  • Whilst there is thus no well-defined lower limit to the dimensions of systems of two stars, on the other hand we cannot set any superior limit either to the number of stars which shall form a system or to the dimensions of that system.

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  • We should learn perhaps the distribution and luminosities of the stars within a sphere of radius sixty light years (corresponding to a parallax of about 0.05"), but of the structure of the million-fold greater system of stars, lying be y ond this limit, yet visible in our telescopes, we should learn nothing except by analogy.

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  • If the uniform distribution extends indefinitely, or as far as the telescope can penetrate, the star-ratio should have the theoretical value 3.98, 1 any decrease in density or limit to the distribution of the stars will be indicated by a continual falling off in the star-ratio for the higher magnitudes.

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  • There is here evidence that even among stars of the Durchmusterung (9.5 magnitude), a limit of the universe has been reached, at least in the direction normal to the plane of the Milky Way.

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  • It can be shown that, if the density of distribution of the stars through infinite space is nowhere less than a certain limit (which may be as small as we please), the total amount of light received from them (assuming that there is no absorption of light in space) would be infinitely great, so that the background of the sky would shine with a dazzling brilliancy.

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  • lat., while in Siberia its range extends to the Arctic Circle; in Norway its upper limit is said to coincide with that of the pine; trees exist near the western coast having stems 15 ft.

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  • In consequence of the defeat which they here sustained, the Persians were forced to abandon the western portion of their empire and limit themselves to Iran proper.

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  • His political insight is shown by the fact that he endeavoured to limit the indefinite extension of Moslem conquest, to maintain and strengthen the national Arabian character of the commonwealth of Islam, 4 and especially to promote law and order in its internal affairs.

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  • There would be no limit to identity either downwards or upwards; so that a man would be the same as a man-of-war, and all things would be the same thing, and not different parts of one universe.

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  • The artificiality of the limit to the articulation of species was one of the points to which the downfall of Aristotle's influence was largely due.

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  • It appears safer, notwithstanding, to take the less subtle interpretation 11 that dialectical induction struggling with instances is formally justified only at the limit, and that this, where we have exhausted and know that we have exhausted the cases, is in regard to individual subjects rarely and accidentally reached, so that we perforce illustrate rather from the definite class-concepts falling under a higher notion.

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  • In order to lay bare the ground of certainty he raises the universal doubt, and, although, following Augustine,2 he finds its limit in the thought of the doubter, this of itself is not enough.

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  • It is the oscillation which Mill manifests between the conception of his formula as it is actually applicable to concrete problems in practice, and the conception of it as an expression of a theoretical limit to practical procedure.

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  • Finally, it is on the whole in keeping with Mill's presuppositions to admit even in the case of the method of difference that in practice it is approximative and instructive, while the theoretical formula, to which it aims at approaching asymptotically as limit, if exact, is in some sense sterile.

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  • 4 In the case of non-identical truths, too, there is a priori proof drawn from the notion of the terms, " though it is not always in our power to arrive at this analysis," 5 so that the question arises, specially in connexion with the possibility of a calculus, whether the contingent is reducible to the necessary or identical at the ideal limit.

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  • To those, of course, for whom the only real identity is identity in difference, while identity without difference, like difference without identity, is simply a limit or a vanishing point, Herbart's logic and metaphysic will alike lack plausibility.

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  • The result will be to limit it, though perhaps also to justify it, save in its claim to reign alone.

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  • The temperature of the shell is much higher than that of a steam boiler, for in order to secure that the working air will take up a fair amount of heat, the upper limit to which its temperature is raised greatly exceeds that of even high-pressure steam.

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  • This assumption coincides exactly with Raoult's law for the relative lowering of vapourpressure, if a = 1, and agrees with it in the limit in all cases for very dilute solutions, but it makes a very considerable difference in strong solutions if a is greater or less than 1.

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  • According to Strabo, the river Parthenius formed the western limit of the region, which was bounded on the east by the Halys.

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  • ==Finance== The constitution makes 1% on the assessed valuation of property a maximum limit of state taxation for ordinary expenses, but by an amendment of 1906 the legislature may levy three mills on the dollar per annum for common schools; and may " authorize school districts to levy by a vote of the qualified electors of such district a tax not to exceed seven mills on the dollar in any year for school purposes."

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  • americana), representing the common British species, but with a smaller bill, and the males easily recognizable by their more scarlet plumage, ranges from the northern limit of coniferous trees to the highlands of Mexico, or even farther.

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