Limits Sentence Examples

He has to believe you guys truly exist and he may guess some of your limits and capabilities.

Until that was done, the back 80 and its proximity were off limits to all of them.

Children are off limits.

Xander, you really need to learn limits!

Near the city are valuable coal mines, and there is one within the city limits.

It was proposed now to establish a more numerous hierarchy, self-contained within the limits of Burgundian rule, with three archbishops and fifteen diocesans.

This could be fixed, within certain limits, at whatever pitch suited the composition; but on the horn it could be only very partially filled out by notes of a muffled quality produced by inserting the hand into the bell of the instrument, a device impossible on the trumpet.

While Parkside was officially beyond the limits of sensible commuting, enough hardy souls made the long daily trek into Philadelphia to label the town an outlying bedroom community.

Thereafter each accepted the emotional limits of their arrange­ment—it would never evolve to something like love or even affec­tion and surely not a long-term relationship.

In 803 and 810 he made a treaty with Charlemagne, by which the limits of the two empires were amicably fixed.

To give any account, even in outline, of the subject matter of equity within the necessary limits of this article would be impossible.

Such rotation can obviously be controlled within limits that need not be further considered.

The limits of the township, originally called West Hoosac, were determined by a committee of the General Court of Massachusetts in 1749, and two or three years later the village was laid out.

We find that all our ideas of limits, sorrows and weaknesses presuppose an infinite, perfect and ever-blessed something beyond them and including them, - that all our ideas, in all their series, converge to one central idea, in which they find their explanation.

Extended body has no limits to its extent, though the power of God has divided it in lines discriminating its parts in endless ways.

The end ditch within the limits of the space is, according to Scottish laws, regarded as part of the green, a regulation which prejudices the general acceptance of those laws.

Such a bowl is alive until the end is finished wherever it may lie, within the limits of the space.

Immediately outside the city limits in 1905 there were many large manufactories, including the repair shops of the Southern railroad; iron and steel, car wheels and cotton-oil were among the products of the suburban factories.

In the vilayet of Scutari they form about 55% of the population; central Albania is almost entirely Moslem; in southern Albania, however, there is a considerable Christian population, whose limits practically coincide with those of the Greek-speaking districts.

In the absence of literary culture the Albanian dialects, as might be expected, are widely divergent; the limits of the two principal dialects correspond with the racial boundaries of the Ghegs and Tosks, who understand each other with difficulty; the Albanians in Greece and Italy have also separate dialects.

The Antarctic beech and Winter's bark (Drimys Winteri) are found at intervals along the Andes to the northern limits of this zone.

Each department controls and maintains the routes dpartementales, usually good macadamized roads connecting the chief places within its limits and extending in 1903 over 9700 m.

Voluntary enlistments in the French army are permissible, within certain limits, at the age of eighteen, and the engages serve for at least three years.

He was on the whole a supporter of the prerogative, but within definite limits.

The "analogy of faith," as a rule of interpretation, he greatly limits, and teaches that it can never afford of itself the explanation of words, but only determine the choice among their possible meanings.

The only known spring existing at present within the limits of the city is the "fountain of the Virgin," on the western side of the Kidron valley, but there may have been others which are now concealed by the accumulations of rubbish.

Prior to 1858, when the modern building period commenced, Jerusalem lay wholly within its 16th-century walls, and even as late as 1875 there were few private residences beyond their limits.

The only relics of classical antiquity are the numerous inscribed altars and bases of statues, as well as architectural fragments, which are found scattered in the courtyards and gardens of the houses in the extensive suburbs which now surround the town, the whole of which were comprised within the limits of the ancient city.

For purposes of measurement the polar boundaries are taken to be the Arctic and Antarctic circles, although in discussing the configuration and circulation it is impossible to adhere strictly to these limits.

The first settlement within its present limits was made about 1672; the land was bought from the Indians in 1676; and the township was separated from East Hartford and incorporated in 1823.

The hydraulic crane has a great advantage in possessing an almost ideal brake, for by simply throttling the exhaust from the lifting cylinder the speed of descent can be regulated within very wide limits and with perfect safety.

The caravans travelled far beyond the limits of the empire.

The two acting together can thus give the mirror any desired movement within limits.

Increase in the voltage acting upon a solid conductor increases the current through it, but in the case of the electric arc an increase in current is accompanied by a fall in the difference of potential of the carbons, within certain limits, and the arc has therefore been said to possess a negative resistance.'

Though the Alps form throughout the northern boundary of Italy, the exact limits at the extremities of the Alpine chain are not clearly marked.

Ancient writers are agreed as to the composite character of the population of Italy, and the diversity of races that were found within the limits of the peninsula.

At first, indeed, the term was apparently confined to the regions of the central and southern districts, exclusive of Cisalpine Gaul and the whole tract north of the Apennines, and this continued to be the official or definite signification of the name down to the end of the republic. But the natural limits of Italy are so clearly marked that the name came to be generally employed as a geographical term at a much earlier period.

The division of Italy into eleven regions, instituted by Augustus for administrative purposes, which continued in official use till the reign of Constantine, was based mainly on the territorial divisions previously existingi and preserved with few exceptions the ancient limits.

The seventh region consisted of Etruria, which preserved its ancient limits, extending from the Tiber to the Tyrrhenian Sea, and separated from Liguria on the north by the river Macra.

Visconti Venosta is believed, however, to have obtained from France a formal declaration that France would not transgress the limits assigned to her influence by the convention.

He set practically no limits to the ecclesiastical authority of kings; they were as fully the representatives of the church as the state, and Cranmer hardly distinguished between the two.

If all knowledge is drawn from experience, statements universal in form are but generalizations, holding within the limits of actual experience, or advanced beyond them at our peril.

So - for this among other reasons - we infer that knowledge has narrow limits, beyond which doubt, or faith, presently begins.

But such lines of thought might carry us outside the limits of traditional theism.

In such a colony of connected individuals, the exact limits of the separate " persons ” are not always clearly marked out.

How far the official principal had jurisdiction in criminal matters by virtue of his office, how far it was usual to add this jurisdiction by special commission, and what were the respective limits of his office and that of the vicar-general, are questions of some nicety.

These courts consist of every parochial minister or professor of divinity of any university within the limits, and of an elder commissioned from every kirk session.

Within the limits of their jurisdiction they are supreme.

It consists of a small number of bishops and priests nominated by the tsar, and is assisted by a " procurator," who is a layman, who explains to it the limits of its jurisdiction and serves as the medium of communication between it and the autocrat and secular authorities.

Within the limits of the town, which is 6 m.

Every plant is constrained to carry Out its functions of germination, growth, nutrition, reproduction, &c., between certain limits of temperature, and somewhere between the extremes of these limits each function finds ao optimum temperature at which the working of the living machinery is at its best, and, other things being equal, any great departure from this may induce pathological conditions; and many disasters are due to the failure to provide such suitable temperaturese.g.

It is also urged against these definitions that they are not of universal applicability; that there are exceptional structures which cannot be brought within the limits of any one of them.

This gives to it unity and definiteness, and renders superfluous the attemps that have been made from time to time to define the limits which divide geography from geology on the one hand and from history on the other.

Beyond the limits of his personal travels Herodotus applied the characteristically Greek theory of symmetry to complete, in the unknown, outlines The ides of lands and rivers analogous to those which had been of symexplored.

Before the Roman legions were sent into a new region to extend the limits of the empire, it was usual to send out exploring expeditions to report as to the nature of the country.

Cook's second voyage was mainly intended to settle the question of the existence of such a continent once for all, and to define the limits of any land that might exist in navigable seas towards the Antarctic circle.

Other institutions of learning are the Capital University and Evangelical Lutheran Theological Seminary (Theological Seminary opened in 1830; college opened as an academy in 1850), with buildings just east of the city limits; Starling Ohio Medical College, a law school, a dental school and an art institute.

Immediately outside the city limits in 1905 were various large and important manufactories, including railway shops, foundries, slaughterhouses, ice factories and brick-yards.

The first permanent settlement within the present limits of the city was established in 1797 on the west bank of the Scioto, was named Franklinton, and in 1803 was made the county-seat.

Its most distinctive characteristic is the presence of the birds of paradise, which are almost peculiar to it; for, granting that the bower-birds, Chlamydodera and others, of Australia, belong to the same family, they are far less highly specialized than the beautiful and extraordinary forms which are found, within very restricted limits, in the various islands of the subregion.

Some authors are inclined to extend its limits still farther to the eastwards, through Beluchistan and even beyond the Indus.

Between fifty and sixty so-called families of land birds alone are found within its limits, and of them at least nine are peculiar; the typical genera of which are Buphaga, Euryceros, Philepitta, Musophaga, Irrisor, Leptosoma, Colius, Serpentarius, Struthio, Aepyornis.

He preached and lectured in the university, but his zeal and organizing skill soon spread his reforming influence far beyond its limits.

At Frankfort, also, are the state arsenal, the state penitentiary and the state home for feeble-minded children, and just outside the city limits is the state coloured normal school.

An excellent system of parks-8 within the city with an aggregate area of 1311 acres, and 3 with an aggregate area of 310 acres just outside the city limits - adds to the beauty of the city, among the most attractive being the Riverside, the St Clair, the University, the Military, the Fair View, the Garfield and the Brookside.

The city limits were considerably extended immediately after 1900.

Rashdall - we surely cut down Christianity to the limits of theism.

There the progress of truth, within whatever limits, is manifest.

The Baltic, with the Gulfs of Bothnia and Finland, limits it on the N.W.; and two sinuous lines of land frontier separate it respectively from Sweden and Norway on the N.W.

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

In addition there are governors-general, generally placed over several governments and armed with more extensive powers, usually including the command of the troops within the limits of their jurisdiction.

But the jurisdiction of the state commissions was, by judicial interpretation, limited to commerce beginning and ending within the limits of the single state.

If, however, cost within reasonable limits is a secondary consideration and the intention is to build a line adapted for express trains and for the carriage of the largest volume of traffic with speed and economy, he will lean towards the second.

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.

That is to say, a perfect engine working between the limits of temperature assigned would convert only 18% of the total heat supply into work.

The volume of the high-pressure cylinder may be varied within wide limits for the same low-pressure volume; the proportions adopted should, however, be such that there is an absence of excessive drop between them as the steam is transferred from one to the other.

The varying load against which a locomotive works, and the fact that a locomotive is non-condensing, are factors which reduce the margin of possible economy within narrow limits.

Such l i nes are primarily intended to supply quick means of passenger communication within the limits of cities, and are to be distinguished on the one hand from surface tramways, and on the other from those portions of trunk or other lines which lie within city boundaries, although the latter may incidentally do a local or intra-urban business.

Roberval was one of those mathematicians who, just before the invention of the infinitesimal calculus, occupied their attention with problems which are only soluble, or can be most easily solved, by some method involving limits or infinitesimals, and in the solution of which accordingly the calculus is always now employed.

It did not operate as a rule beyond the limits of race.

At the commencement, he says, " all was dark and doubtful "; the limits, divisions, even the title of his work were undetermined; the first chapter was composed three times, and the second and third twice, before he was satisfied with his efforts.

In regard to the attitude of the Roman government towards the Christian religion, there are questions still sub judice; but Gibbon had the merit of reducing the number of martyrs within probable limits.

On the western boundary, and partly included within the limits of Nevada, is Lake Tahoe, 20 m.

The first recorded person of European descent to enter the limits of Nevada was Francisco Garces (1738-1781), of the Order of St Francis, who set out from Sonora in 1775 and passed through what is now the extreme southern corner of the state on his way to California.

At one time of greater size, it was reduced by Nadir Shah within its present limits.

The town stands on a sandy plain, and there are sand dunes within the city limits.

There are, of course, numerous problems relating to the nature, limits and dates of the two recensions, of the incorporated sources, and of other sources (whether early or late) of independent origin; and here there is naturally room for much divergence of opinion.

Their names vary in origin and probably also in point of age, and where they represent fixed territorial limits, the districts so described were in some cases certainly peopled by groups of non-Israelite ancestry.

External research constantly justifies the cautious attitude which has its logical basis in the internal conflicting character of the written traditions or in their divergence from ascertained facts; at the same time it has clearly shown that the internal study of the Old Testament has its limits.

The apology for the necessary defects of a translation put forward by the translator of Ecclesiasticus in his Prologue shows that the work was carried on beyond the limits of the Law.

The councils assess within certain limits the communal taxes, maintain roads, bridges, &c., and generally superintend local affairs.

During the Third Middle Minoan period, the lower limits of which approach 1600 B.C., this pictographic script finally gives way to a still more developed linear system - which is itself divided into an earlier and a later class.

It was probably the lex Valeria of 300 B.C. that made him subject to the right of criminal appeal (provocatio) within the limits of the city.

In the neighbourhood are remains of Coptic buildings, including a subterranean church (discovered 1895) in the desert half a mile beyond the limits of cultivation.

The territorial limits were extended on the north to the state of Tennessee in 1804 by the acquisition of the west cessions of South Carolina and Georgia, and on the south to the Gulf of Mexico by the seizure of West Florida in 1810-1813, 1 but were restricted on the east by the formation of the Territory of Alabama in 1817.

It was along the coast of North Carolina that Europeans in 1585 made the first discovery of iron ore within the present limits of the United States.

Of scientific geographical exploration in Asia (beyond the limits of actual surveys) the modern period has been so prolific that it is only possible to refer in barest outline to some of the principal Indian expeditions, most of which have been directed either to explorers.

The period from about 1880 has been an era of boundary-making in Asia, of defining the politicogeographical limits of empire, and of determining the responsibilities of government.

Eastwards of this the great Kashgar depression, which includes the Tarim desert, separates Russia from the vast sterile highlands of Tibet; and a continuous series of desert spaces of low elevation, marking the limits of a primeval inland sea from the Sarikol meridional watershed to the Khingan mountains on the western borders of Manchuria, divide her from the northern provinces of China.

From the Hari Rud on the Afghan west to the Sarikol mountains on the east her northern limits were set by the Boundary Commissions of 1884 political 1886 and of 1895 respectively.

The same principle of maintaining an intervening width of neutral territory between the two countries is definitely established throughout the eastern borders of Afghanistan, along the full length of which a definite boundary has been demarcated to the point where it touches the northern limits of Baluchistan on the Gomal river.

The Mekong river which limits British interests in Burma limits also those Boundary of France in Tongking.

From that point southwards the river becomes the boundary between the Shan States and Tongking for some 200 m., the channel of the river defining the limits of occupation (though not entirely of interest) between French and British subjects.

The Triassic deposits of the Verkhoyansk Range show that this land did not extend to the Bering Sea; while the marine Mesozoic deposits of Japan on the east, the western Tian-shan on the west and Tibet on the south give us some idea of its limits in other directions.

The cessation of the rains on the southern border of Baluchistan, west of Karachi, obviously arises from the projection of the south-east coast of Arabia, which limits the breadth of the south-west monsoon air current and the length of the coast-line directly exposed to it.

It is known that to the TibetoChinese modifications of the pure Mongolian type all the eastern Burmese tribes - Chins, Kachins, Shans, &c. - belong (as indeed do the Burmese themselves), and that a cognate race occupies the Himalaya to the eastern limits of Kashmir.

The Mingals, who, conjointly with the Brahuis, occupy the hills south of Kalat to the limits of the Rajput province of Las Bela, claim Mongolian descent, and traces of a Mongolian colony have been found in Makran.

In the middle of the body, where the limits of the somites can be checked by a comparison with the arrangement of the nephridia and the gonads, and where the ganglia are quite distinct and separated by long connectives, each ganglion is seen to consist of six masses of cells enclosed by capsules and to give off three nerves on each side.

The annuli into which segments are externally divided are so deeply incised as to render it impossible to distinguish, as can be readily done in the Oligochaeta as a rule, the limits of an annulus from that of a true segment.

Of the former class the most conspicuous was the Holy Roman Empire; but in Europe all monarchies were, within certain limits, originally elective; and, after the introduction of Christianity, the essential condition of the assumption of sovereign power was not so much kinship with the reigning family as the "sacring" by the divine authority of the Church.

He would submit all minor questions to the reason of the individual member, but he set certain limits to toleration, excluding "whatsoever is against the foundation of faith, or contrary to good life and the laws of obedience, or destructive to human society, and the public and just interests of bodies politic."

The most conspicuous features of the entire region, Mount Ararat (16,930 ft.) and Mount Alagoz (13,440 ft.), are both solid masses of trachyte; and both rise above the limits of perpetual snow.

There are no limits to the good results of his introduction of a true method of reasoning into the moral and political sciences.

The first permanent settlement within the present limits of the city was made in 1609 in the district long known as Rockett's.

His residence, within the limits of the present city of Richmond, was preserved until about 1850.

At Lonsdale, William Blackstone (c.1595-1675), the first permanent white settler within the present limits of Rhode Island, built his residence, "Study Hall," about 1635.

He intended to leave Asia to Antiochus and content himself for the remainder of his days with the Macedonian kingdom in its old limits.

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

In common with other sciences, economics makes use of " abstractions"; but if for some problems we employ symbolic processes of reasoning, we must keep clearly in view the limits of their significance, and neither endow the symbols with attributes they can never possess, nor lose sight of the realities behind them.

Though holding good within certain limits only, the law has been found immensely useful.

No one believed that he would be content with the "ancient limits."

His classification was founded mainly on the nature of the wings, and five of his orders - the Hymenoptera (bees, ants, wasps, &c.), Coleoptera (beetles), Diptera (two-winged flies), Lepidoptera (moths and butterflies), and Hemiptera (bugs, cicads, &c.) - are recognized to-day with nearly the same limits as he laid down.

Latham entered, so far as the limits of his work would allow, into the 1 They were drawn and engraved by Martinet, who himself began in 1787 a Histoire des oiseaux with small coloured plates which have some merit, but the text is worthless.

His colleague, Vieillot, brought out in 1805 a Histoire naturelle des plus beaux chanteurs de la Zone Torride with figures by Langlois of tropical finches, grosbeaks, buntings and other hard-billed birds; and in 1807 two volumes of a Histoire' naturelle des oiseaux de l'Amenique septentrionale, without, however, paying much attention to the limits commonly assigned by geographers to' that part of the world.

To enable the reader to compare the several groups of Nitzsch with the families of L'Herminier, the numbers applied by the latter to his families are suffixed in square brackets to the names of the former; and, disregarding the order of sequence, which is here immaterial, the essential correspondence of the two systems is worthy of all attention, for it obviously means that these two investigators, starting from different points, must have been on the right track, when they so often coincided as to the limits of what they considered to be, and what we are now almost justified in calling, natural groups.'

Much of the unglacial or driftless portion of the state is embraced within its limits, and although the streams now have a gentle or even sluggish flow, they have greatly broken the surface of the country.

The limits were altered subsequently, but the net debt has continued to rise.

The exact extent, however, to which each particular class of enemy has affected the protective habits and attributes of spiders is by no means always evident; and it is impossible to discuss the question in detail within the limits of a short article.

In the decade of1890-1900the increase in the value of manufactures (165.9%) was almost five times as great in St Joseph as in any other of the largest four cities of the state, and this was due almost entirely to the growth of the slaughtering and meat-packing business, which is for the most part located outside the municipal limits.

In 1905 the census reports did not include manufactures outside the actual city limits; the total value of the factory product of the city proper in 1905 was $11,573,720; besides slaughtering and packing the other manufactures in 1905 included men's factory-made clothing (valued at $1,556,655) flour and grist-mill products (valued at $683,464), saddlery and harness (valued at $524,918), confectionery ($437,096), malt liquors ($407,054), boots and shoes ($350,384) and farm implements.

He belonged to the school of Thucydides and Gibbon, not to that of Macaulay and Taine; he deals by preference with the rulers and leaders of the world, and he strictly limits his field to the history of the state, or, as we should say, political history; and in this he is followed by Seeley, one of the greatest of his adherents.

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

The provinces were unsettled, the barbarians on the borders restless and menacing, and Hadrian wisely judged that the old limits of Augustus afforded the most defensible frontier.

Since 1890 much has been done by the national Government, aided in many cases by the local authorities and by private enterprise, to improve the harbours and to extend the limits of river navigation.

The north slope of the Areopagus, where a number of early tombs were found, was also explored, and the limits of the Agora on the south and north-west were approximately ascertained.

After the Treaty of the Pyrenees, he was sent to direct the conference which had been formed to fix the limits of Roussillon, which had just been ceded to France (1660).

The area remained as fixed in 1876, but the increasing pop. and industries have spread beyond these limits.

There are many manufactories just outside the city limits.

The limits of space prevent any systematic account of the separation of the rare metals, the alkaloids, and other classes of organic compounds, but sources where these matters may be found are given in the list of references.

Want of data for the elements, however, restricts this method to narrow limits, and hence an indirect method is necessary.

Hence within narrow limits Kopp's determinations were carried out under coincident conditions, and therefore any regularities presented by the critical volumes should be revealed in the specific volumes at the boiling-point.

Externally is a thin cuticle; this covers the epidermis, which consists of a syncytium with no cell limits.

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

The roads and aqueducts were repaired, and the limits of the pomerium extended.

During 1884, 1885, 1886 treaties guaranteeing British protection were concluded with various Somali tribes and in 1888 the limits of the British and French spheres were defined, all claims to British jurisdiction in the Gulf of Tajura and the islands of Musha and Bab being abandoned.

An agreement with Great Britain (February 1888) fixed the southern limits of the protectorate; protocols with Italy (January 1900 and July 1901) the northern limits.

But the date can be determined between closer limits.

But the limits of the date of composition be fixed still more definitely.

The military vocation of Rome was now felt to have reached its normal limits; and the emperors, understanding that, in the future, industrial activity must prevail, prepared the abolition of slavery as far as was then possible, by honouring the freedmen, by protecting the slave against his master, and by facilitating manumissions.

Several of the Spanish American states, on declaring their independence, had adopted measures for the discontinuance of slavery within their limits.

Equally obsolete is the old line of fortifications which formerly marked the limits of the city south and east and has now been partly demolished.

The city within the municipal limits constitutes a separate division of the county.

But in any scientific discussion the term instinct must be used within narrower limits, and hence it is necessary that the term should be defined.

Granted that instinctive modes of behaviour are hereditary and definite within the limits of congenital variation, the question of their manner of genesis is narrowed to a clear issue.

But in such passages it remains fundamentally human; no attempt is made to define the limits of the human and the divine in its composition - it is all human and all divine.

These flood plains form collectively what is known as the alluvial region, which extends in a broad belt down the Mississippi, from the mouth of the Ohio to the Gulf of Mexico, and up the Ouachita and its branches and the Red river to and beyond the limits of the state.

Personal liberty, liberty of conscience, speech, assembly, petition, association, press, liberty of movement and security of home, were without real guarantee even within the extremely small limits in which they nominally existed.

The compactness of the series of rational numbers is consistent with quasi-gaps in it - that is, with the possible absence of limits to classes in it.

But among the real numbers all classes have limits.

The vicinity was settled between 1729 and 1747 by Highlanders, the settlement called Cross Creek lying within the present limits of Fayetteville.

The Ottoman Empire possesses a very complete system of local self-government within certain limits.

In all other respects the council, provided that it kept within the limits of the laws the administration of which was entrusted to it, was to be entirely independent of the Ottoman government, free to appoint and dismiss its own officials from highest to lowest, and to carry on its administration on such lines as it thought best.

But nothing could be done until the Porte should have come to terms with Russia as to the Treaty of Bucharest; for, as the British ambassador, Sir Robert Liston, was instructed to point out to the Ottoman government, " it is impossible to guarantee the possession of a territory of which the limits are not determined."

Within the limits of the city itself, on the west bank of the Tigris, are the remains of a quay, first observed by Sir Henry Rawlinson, at a period of low water, in 1849, built of bricks laid in bitumen, and bearing an inscription of Nebuchadrezzar, king of Babylon.

The municipal water supply comes from a reservoir at Crystal Springs at the foot of Mill Mountain near the city limits.

It was for centuries a "head port," its limits extending from Chepstow to Llanelly; in the 18th century it sank to the position of "a creek" of the port of Bristol, but about 1840 it was made independent, its limits for customs' purposes being defined as from the Rumney estuary to Nash Point, so that technically the "port of Cardiff" includes Barry and Penarth as well as Cardiff proper.

East of the Allier is the Bebre, which joins the Loire within the limits of the department; and on the west the Cher, with its tributary the Aumance.

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.

The second relation, as we have seen, is not a strict consequence of theory, and experiments to examine it must be treated as an investigation of the limits within which solutions are dilute within the thermodynamic sense of the word, rather than as a test of the soundness of the theory.

The milk is then carefully dried by turning the mould round and round in the smoke produced by burning wood mixed with certain oily palm nuts; those of A ttalea excelsa are considered best, the smoke being confined within certain limits by the narrowness of the neck of the pot in which the nuts are heated.

A by no means unwarrantable fear of the king of Prussia, who was "to be reduced within proper limits," so that "he might be no longer a danger to the empire," induced Elizabeth to accede to the treaty of Versailles, in other words the Franco-Austrian league against Prussia, and on the 17th of May 1757 the Russian army, 85,000 strong, advanced against Konigsberg.

The Tunguses (nearly 70,000) occupy as their hunting-grounds an immense region on the high plateau and its slopes to the Amur, but their limits are yearly becoming more and more circumscribed both by Russian gold-diggers and by Yakut settlers.

The difficulties in the way of solving it are very great, and up to the present time the best authorities are not agreed as to the result, the effect of half a century of research having been merely to reduce the uncertainty within continually narrower limits.

Probably no general agreement could now be reached on a statement more definite than this; the last result may be left out of consideration, and the value of the solar parallax is probably contained between the limits 8.77" and 8.80."

Steinmetz's formula may be tested by taking a series of hysteresis curves between different limits of B,' measuring their areas by a pianimeter, and plotting the logarithms of these divided by 47r as ordinates against logarithms of the corresponding maximum values of B as abscissae.

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.

An experiment by Ewing showed that by the operation of stretching an annealed iron wire beyond the limits of elasticity the permeability under a magnetizing force of about 3 units was reduced by as much as 75%.

Thus the magnetization which the sample of Swedish iron received in a field of 1490 was not increased (beyond the limits of experimental error) when the intensity of the field was multiplied more than thirteen-fold, though the induction was nearly doubled.

In the case of iron and nickel it was found that, when correction was made for mechanical stress due to magnetization, magnetic change of thermo-electric force was, within the limits of experimental error, proportional to magnetic change of length.

A somewhat stronger field will deflect many of the needles beyond the limits of stability, causing them to turn round and form new stable combinations, in which the direction assumed by most of them approximates to that of the field.

The limits of space do not permit of a fuller treatment of those matters here.

Christians being released, in important particulars, from conformity to the Old Testament polity as a whole, a real difficulty attended the settlement of the limits and the immediate authority of the remainder, known vaguely as the moral law.

It is now simply a title of honour and one, moreover, the social value of which differs enormously, not only in the different European countries, but within the limits of the same country.

The Spanish and Portuguese crowns attempted to define the limits between their American colonies in 1750 and 1777, and the lines adopted still serve in great part to separate Brazil from its neighbours.

The Portuguese were persistent trespassers in early colonial times, and their land-hunger took them far beyond the limits fixed by Pope Alexander VI.

With regard to the section between the Amazon and the Apaporis river, already settled between Brazil and Peru, the territory has been in protracted dispute between Peru, Ecuador and Colombia; but a treaty of limits between Brazil and Ecuador was signed in 1901 and promulgated in 1905.

In 1630 the Dutch attempted again to effect a settlement; and Olinda, with its port, the Recife-Olinda, was destroyed, but the Recife was fortified and held, reinforcements They had extended their limits southwards till they reached the Spanish settlements of La Plata.

The pp g y Dutch were unable, however, to extend their power beyond the limits of the town, until the arrival of Count John Maurice of Nassau-Siegen in 1636.

On the south-east, beyond the Canongate limits, stands the hill of Arthur's Seat (822 ft.).

Towards the north the site of the city slopes gently to the Firth of Forth and the port of Leith; while to the south, Liberton Hill, Blackford Hill, Braid Hills and Craiglockhart Hills roughly mark the city bounds, as Corstorphine Hill and the Water of Leith do the western limits.

Bath Springs are located just outside the borough limits; though not so famous as they were early in the 18th century, these springs are still well known for the medicinal properties of their chalybeate waters.

The limits of his long life include that of his still greater pupil, Thomas Aquinas (1227-1274).

During his reign, however, Hungarian Christianity did not extend much beyond the limits of his court.

The conference at Vienna revealed the irreconcilable difference within the ministry; but it revealed also something more - the determination of the emperor Francis Joseph, if pressed beyond the limits of his patience, to appeal again to the non-Magyar Hungarians against the Magyar chauvinists.

It was followed by a series of profound investigations, in which Lagrange and Laplace alternately surpassed and supplemented each other in assigning limits of variation to the several elements of the planetary orbits.

The principle underlying this expression is probably to be found in the fact that it measured the limits of their attainments in algebra, for they were unable to solve equations of a higher degree than the quadratic or square.

The southern limits of Badakshan become definite again at the Dorah pass.

Within certain limits Croatia's autonomy was respected, but so far from Zagreb being consulted, the terms of the new settlement were in effect dictated from Budapest and only submitted pro forma to a carefully " packed " Croatian Diet, after the bargain between Budapest and Vienna had already made of them an accomplished fact.

The limits of integration for x may thus be taken to be -2a and -Fla, and for y to be -2b, +2b.

A rotation of this amount should therefore be easily visible, but the limits of resolving power are being approached; and the conclusion is independent of the focal length of the mirror, and of the employment of a telescope, provided of course that the reflected image is seen in focus, and that the full width of the mirror is utilized.

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

For the retarded stream the only difference is that we must subtract R from at, and that the limits of x are o and +h.

It appears therefore that there are no bands at all unless a lies between o and +4h,, and that within these limits the best bands are formed at the middle of the range when us =21 4 .

Elsewhere the titles run in series and correspond to the limits of older collections.

In 1886 the " New Republic " with limits considerably narrowed, was recognised by Great Britain, and the territory became incorporated with the Transvaal in 1888.

These limits may be set down as from a little above the freezing point of water to a little below the boiling point.

It is to be noted, however, that these limits apply to the living matter itself, and many of the apparent exceptions are due to cases in which the living matter is enclosed in protective wrappings capable of resisting heat and cold.

That it is elastic, with narrow limits, is proved by its clear ring when struck with a hard body in circumstances permitting of free vibration.

Just west of the city limits is Earlham College (co-educational), opened in 1847, chartered in 1859 and controlled by the Society of Orthodox Friends; in 1908-9 it had 30 instructors, 620 students and a library of 18,000 bound volumes.

There are many large factories just outside the city limits.

The English school of medicine was also profoundly stirred by the teachings of the two brothers William and John Hunter, especially the latter - who must therefore be briefly mentioned, though their own researches were chiefly concerned with subjects lying a little outside the limits of this sketch.

Gold-mining was forbidden within its limits and diamond-washing was placed under severe restrictions.

According to Thomas Moore, Lord Edward Fitzgerald was the only one of the numerous suitors of Sheridan's first wife whose attentions were received with favour; and it is certain that, whatever may have been its limits, a warm mutual affection subsisted between the two.

But the result of these conditions and of his own inadequate conception of the proper limits of his art is that his best poetry is clogged with a great mass of alien matter, which no treatment in the world could have made poetically endurable.

Many of the houses are within tidal limits and furnished with quays and jetties.

He was quite unacquainted with the history of his own language and literature, and more here than anywhere else he showed the extraordinarily limited and conventional spirit which accompanied the revolt of the French 18th century against limits and conventions in theological, ethical and political matters.

The London Government Act contains a saving clause by which " nothing in or done under this act shall be construed as altering the limits of any parliamentary borough or parliamentary county."

P of the city was its special property, and it extended as far as the limits of the territorium of the nearest Roman city or as near thereto as the natural boundaries."

He ruled from the Pongolo river on the north to the Umkomanzi river on the south, and inland his power extended to the foot of the Drakensberg; thus his territory coincided almost exactly with the limits of Zululand and Natal as constituted in 1903.

On the other hand in the case of uncertain and irregular deposits, the value of which varies between very wide limits, as, for example - in most metal mines and especially mines of gold and silver - a very large number of samples must be taken - sometimes not more than two or three feet apart - in order that the average value of the ore may be known within reasonable limits of error.

A firm footing was gained on shore by the assailants at three out of the five points where disembarkation was attempted, while the effort was also, within restricted limits, successful at the two remaining points.

It must be admitted that, by the aid of certain of these new constituents, glasses can be produced which, as regards purity of colour, freedom from defects and chemical stability are equal or even superior to the best of the " ordinary " glasses, but it is a remarkable fact that when this is the case the optical properties of the new glass do not fall very widely outside the limits set by the older glasses.

The refractive indices of all glasses at present available lie between 1.46 and 1 90, whereas transparent minerals are known having refractive indices lying considerably outside these limits; at least one of these, fluorite (calcium fluoride), is actually used by opticians in the construction of certain lenses, so that probably progress is to be looked for in a considerable widening of the limits of available optical materials; possibly such progress may lie in the direction of the artificial production of large mineral crystals.

It is impossible to describe this machinery within the limits of this article, but it is notable that the principal difficulties to be overcome arise from the necessity of providing the glass with a perfectly continuous and unyielding support to which it can be firmly attached but from which it can be detached without undue difficulty.

These values may vary within certain limits for different specimens.

Taking two planes x = =b, and considering the increase of momentum in the liquid between them, due to the entry and exit of liquid momentum, the increase across dy in the direction Oy, due to elements at P and P' at opposite ends of the diameter PP', is pdy (U - Ua 2 r2 cos 20 +mr i sin 0) (Ua 2 r 2 sin 2 0+mr 1 cos 0) + pdy (- U+Ua 2 r 2 cos 2 0 +mr1 sin 0) (Ua 2 r 2 sin 2 0 -mr 1 cos 0) =2pdymUr '(cos 0 -a 2 r 2 cos 30), (8) and with b tan r =b sec this is 2pmUdo(i -a 2 b2 cos 30 cos 0), (9) and integrating between the limits 0 = 27r, the resultant, as before, is 27rpmU.

The limits at each end, however, are very ill defined, the superior falling not later than 2000 B.C. and the inferior not earlier than boo B.C. This people was militant, aggressive and unsettled in the earlier part of that time; commercial, wealthy and enervated in the latter.

Their ascription to Solomon is due solely to the copyists or translators, for no such claim is made in any of the psalms. On the whole, Ryle and James are no doubt right in assigning 70-40 B.C. as the limits within which the psalms were written.

It is a curious fact that at the present day much or even most of the wine of finest quality is made at or near to the northern limits of possible cultivation with profit.

It is not possible within the limits at our command to specify the facts and arguments by which these theories are respectively supported.

Under the bounty system, by which the protectionist countries of Europe stimulated the beet sugar industry by bounties on exports, the production of sugar in bounty-paying countries was encouraged and pushed far beyond the limits it could have reached without state aid.

Great Britain, instead of agreeing to prohibit the importation of bounty-fed sugar, was allowed to permit it under certain limits.

Those Cestodes which possess no very distinct organ of attachment (such, for example, as Gyrocotyle) have no distinct ganglionic thickening more pronounced at one end of the body than at the other; and as these are forms which have retained more primitive features than the rest, and show closer affinity to the Trematodes, it seems highly probable that the complicated nervous thickening found in the scolex, and often compared with the " brain " of other Platyelmia, is a structure sui generis developed within the limits of the sub-class.

Epidemics rarely spread over any considerable tract of country, but are nearly always confined within local limits.

They are distributed throughout the world, but are most abundant in the tropics and the warmer parts of the temperate zones; within these limits the largest forms occur.

Within the limits imposed by the nature of his task, his treatment of his sources is remarkably free, the details unsuited for poetic handling being passed over, or, in some instances, boldly altered.

The first settlement within its present limits was made in 1807.

From the wells of Shakik he crossed the waterless Nafud in four days to Jubba, and after a halt there in the nomad camps, he moved on to Hail, already a thriving town, and the capital of the Shammar state whose limits included all northern Arabia from Kasim to the Syrian border.

The limits of the kingdom of Katabania are not known, but it has its own inscriptions.

His son and successor, Abdul Aziz, in a rapid series of successful campaigns, extended his dominion and that of the reformed faith far beyond the limits of Nejd.

Any change in the resistance of the arc, either by lengthening, due to the sinking of the charge in the crucible, or by the burning of the carbon, affected the proportion of current flowing in the two shunt circuits, and so altered the position of the iron cylinder in the solenoid that the length of arc was, within limits, automatically regulated.

Nubia, however, has no strictly defined limits, and is little more than a geographical expression.

Within the limits indicated the country consists mainly of sandy desert and rugged and arid steppes and plateaus through which the Nile forces its way to Upper Egypt.

Moreover, the hierarchy derives a vast revenue from the fees for burials in the sacred limits.

A speech, denouncing the projected incorporation of Schleswig and Holstein with Denmark, delivered in the Chamber of Baden on the 6th of February 1845, spread his fame beyond the limits of his own state, and his popularity was increased by his expulsion from Prussia on the occasion of a journey to Stettin.

The kingdom dwindled rapidly to its ancient limits between the Caucasus, the Volga and the Don, whilst the Russian traders of Novgorod and Kiev supplanted the Khazars as the carriers between Constantinople and the North.

The first buildings were upon land now included within the limits of Cambridge.

Since then its limits have been greatly reduced.

There is a Carnegie library, and Forest Park, within the city limits, is a popular meeting place of conventions and summer gatherings, including the annual Ottawa Chautauqua Assembly.

It includes within its limits the once famous district of the "Kroumirs," 2 a tribe whose occasional thefts of cattle across the frontier gave the French an excuse to invade Tunisia in 1881.

Within these limits are to be found most of the minerals known - gold, silver, quicksilver, copper, lead, zinc, iron, manganese, wolfram, bismuth, thorium, vanadium; mica, coal, &c. On or near the coast are coal, salt, sulphur, borax, nitrates and petroleum.

The principal silverproducing districts, the greater part on the high table-lands and slopes of the Andes, are those of Salpo, Hualgayoc, Huari, Huallanca, Huaylas, Huaraz, Recuay, Cajatambo, Yauli, Cerro de Pasco, Morococha, Huarochiri, Huancavelica, Quespisisa, Castrovirreyna, Lucanas, Lampa, Caylloma and Puno, but there are hundreds of others outside their limits.

Immediately afterwards a dispute arose between the brothers, Francisco, Juan and Gonzalo Pizarro and Almagro as to the limits of their respective jurisdictions.

An agreement was proposed between Peru and Ecuador in connexion with the limits of the respective republics, but difficulties were created to prevent this proposal from becoming an accomplished fact by the pretensions put forward by Colombia.

For about three months following this event he was held as a prisoner on parole within the limits of Charleston; then, because of his influence in deterring others from exchanging their paroles for the privileges of British subjects, he was seized, taken to St Augustine, Florida, and there, because he would not give another parole to those who had violated the former agreement affecting him, he was confined for forty-two weeks in a dungeon.

The height of the mountain varies from time to time within limits of several hundred feet, according to the effects of successive eruptions, but averages about 4000 ft.

Tennyson had reached the limits of the threescore years and ten, and it was tacitly taken for granted that he would now retire into dignified repose.

The style was applied only to the representations of sacred personages and scenes, and as the traditional forms and attributes of the Brahmanic and Buddhist divinities were mutable only within narrow limits, the subjects seldom afforded scope for originality of design or observation of nature.

But after Yoritomos death the land became once more an armed camp, in which the rival barons discouraged travel beyond the limits of their own domains.

All these still exist and are as useful as ever within certain limits.

The outcome was of importance far beyond the narrow limits of the duchy; for all Germany watched the constitutional experiments of the southern states.

In the first part Spencer's argument rests on Mansel's Limits of Religious Thought and Hamilton's" philosophy of the conditioned "(and so ultimately on Kant), and tries to show that alike in scientific and religious thought the ultimate terms are" inconceivable "(not by him distinguished from" unimaginable ").

Rotating zinc cathodes were used, with scrapers to prevent the accumulation of a layer of insoluble magnesium compounds, which would otherwise increase the electrical resistance beyond reasonable limits.

The old churches and historic buildings of Dijon are to be found in the irregular streets of the old town, but industrial and commercial activity has been transferred to the new quarters beyond its limits.

These uniform solid solutions must not be mistaken for chemical compounds; they can, within limits, vary in composition like an ordinary liquid solution.

The dissipation and extravagance of his youth exceeded all limits and surprised his contemporaries.

In oratory, as in every other intellectual province, the Greeks had a truer sense of the limits and conditions of their art.

Beyond the limits of irrigation the country is semi-barren.

The balance of work obtainable in such a cycle depends on the limits of temperature in a manner which forms the subject of the second law.

This is mathematically expressed by the statement that dE is an exact differential of a function of the co-ordinates defining the state of the body, which can be integrated between limits without reference to the relation representing the path along which the variations are taken.

The expression for the change of intrinsic energy E between any given limits poOo to po is readily found by substituting these values of the specific heats in equations (II) or (13), and integrating between the given limits.

As it would be impossible within the limits of this article to illustrate or explain adequately the applications which have been made of the principles of thermodynamics, it has been necessary to select such illustrations only as are required for other reasons, or could not be found elsewhere.

This fortification, termed the citadel, enclosed an area of ten or twelve acres, and included within its limits the church of St John, which was converted into a storehouse, the Protector partly indemnifying the inhabitants by contributing 150 towards the erection of a new place of worship, now known as the Old Church.

Cultivation does not begin till the limits of this dismal region are passed.

Writers who follow Harnack explain " holy spirit " as the gift of impersonal influence, and between wide limits of difference agree in regarding Christ as Son of God by adoption and not by nature.

To return within our proper limits.

Two newly-discovered creeds help us greatly to narrow down the limits of the problem.

In an age when the foundations of the system on which society had rested for centuries were seriously shaken, such subjects as the right of the magistrate to interfere with the belief of the individual, and the limits of his authority over conscience, naturally assumed a prominence hitherto unknown.'

Within the narrowed limits of his kingdom Christian's difficulties were more protracted and hardly less serious.

The municipality owns and operates the gas and electric-lighting plants and the water works (the watersupply being derived from natural ponds, some of which are outside the city limits), and owns and leases (to the New York, New Haven & Hartford railroad) a railway extending (10.3 m.) to Westfield, Mass.

This monarch had retired from Thebes and established his court on the site now known as Tel el-Amarna, where he founded the city which existed only during the brief period of thirty years ending with the death of the monarch about 1370 B.C. The date of the documents found in the royal library is, therefore, fixed within very narrow limits.

The despised Herati Tajik, in blue shirt and skull-cap, and with no instrument better than a three-cornered spade, is as skilled an agriculturist as is the Ghilzai engineer, but he cannot effect more than the limits of his water-supply will permit.

We have noted above the manner in which the limits of Tirol were gradually extended.

Unlike an arbitrating power the mediator limits his intervention to suggestion and advice.

The climate and the scenery in and about Biddeford attract summer visitors and there are two resorts, Biddeford Pool and Fortune Rocks within the municipal limits; but the city is chiefly a manufacturing centre (third in rank among the cities of the state in 1905) - good water-power being furnished by the river - and cotton goods, foundry and machine shop products and lumber are the principal products, the first being by far the most important.

From a series of measures of the angle between Jupiter's satellites and the planet, made in June and July 1794 and in August and September 1795, Schur finds the mass of Jupiter =I / Io 4 8.55 1.45, a result which accords well within the limits of its probable error with the received value of the mass derived from modern researches.

The amount of hydrogen is from 42 to 6%, while the oxygen may vary within much wider limits, or from about 3 to 14%.

Cannel coals are generally variable in quality, being liable to change into shales or black-band ironstones within very short horizontal limits.

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.

These machines, which are driven by compressed air, are very handy in use, as the height and direction of the cut may be readily varied; but the work is rather severe to the driver on account of the recoil shock of the piston, and an assistant is necessary to clear out the small coal from the cut, which limits the rate of cutting.

Fire-damp when mixed with from four to twelve times its volume of atmospheric air is explosive; but when the proportion is above or below these limits it burns quietly with a pale blue flame.

In 1727 the territory, with vaguely defined limits, was formed into a province and named Tejas, or Texas, after the tribe or the confederacy of Tejas Indians.

After a long conflict over the slavery question, the state was admitted into the Union under a joint resolution of Congress adopted on the 1st of March 1845, 1 on condition that the United States should settle all questions of boundary with foreign governments, that Texas should retain all of its vacant and unappropriated public lands, and that new states, not exceeding four in number, might be formed within its limits.

The western boundary claimed by the republic was the Rio Grande to its source and the meridian of longitude from that point to the forty-second parallel, although as a political division of Mexico its limits never extended farther west than the Nueces and the Medina.

Each county has its own administrative boards and officers; and there are two justices of the peace and two constables for every township. The board of supervisors, consisting of not more than seven members, elected for a term of three years, has the care of county property and the management of county business, including highways and bridges; it fixes the rate of county taxes within prescribed limits, and levies the taxes for state and county purposes.

Thus the contribution to the total impulsive pressure exerted on the area dS in time dt from this cause is mu X udtdS X (11 3 m 3 /,r 3)e hm (u2+v2+w2 )dudvdw (I o) The total pressure exerted in bringing the centres of gravity of all the colliding molecules to rest normally to the boundary is obtained by first integrating this expression with respect to u, v, w, the limits being all values for which collisions are possible (namely from - co too for u, and from - oo to + oo for v and w), and then summing for all kinds of molecules in the gas.

Since the volume at constant pressure is exactly proportional to the absolute temperature, it follows that the coefficients of expansion of all gases ought, to within the limits of error introduced by the assumptions on which we are working, to have the same value 1/273.

After passing the mangrove limits, the ground to the east gradually rises till it becomes mountainous, even to the banks of the rivers, and finally culminates in the grand natural barrier dividing Burma from Siam.

From 1790 until 1846 Alexandria county was a part of the District of Columbia; at present the city, although within the limits of Alexandria county, is not administratively a part of it.

Peace seemed assured in Uganda; territorial limits to religious teaching were abolished, English Roman Catholic priests were added to the French Fathers, and the material progress of the country was very marked.

Colonel Martyr at the close of the year (1899) undertook an expedition up the Nile, and extended the limits of the protectorate in that direction.

Inclined railways ascend Third Street Hill and Court Street Hill, in the heart of the city; and a system of subways extends from the centre of the city to its western limits.

Any " town " having a village or district within its limits that contains moo inhabitants or more may authorize that village or district to establish a separate organization for lighting its streets, building and maintaining sidewalks, and employing a watchman or policeman, the officers of such organization to include at least a prudential committee and a clerk.

His father, Nathaniel, in 1795, made a clearing within the limits of what is now the town of Summerhill, Cayuga county, New York, and there Millard Fillmore was born, on the 7th of February 1800.

Weimar owes its importance not to any industrial development, which the grand-dukes discourage within the limits of their Residenz, but to its intimate association with the classical period of German literature, which earned for it the title of the "poets' city" and "the German Athens."

Some foresights have, however, a lateral motion giving within narrow limits the deflection found to be necessary for the variation of each rifle from the average.

The boundaries of Essex were in later times the rivers Stour and Thames, but the original limits of the kingdom are quite uncertain; towards the west it probably included most if not the whole of Hertfordshire, and in the 7th century the whole of Middlesex.

Within the limits of British territory the Gomal forms the boundary between the North-West Frontier Province and Baluchistan, and more or less between the Pathan and Baluch races.

The Congregation de Propaganda Fide established, in 1650, a local council in Turin, which exercised a powerful influence on Duke Charles Emmanuel II., who ordered that the Vaudois should be reduced within the limits of their ancient territory.

And how came he by his wide knowledge of people outside the limits of Israel ?

Let E and F be two magnitudes so related that whenever F has any value (within certain limits) E has a definite corresponding value.

This limits the accuracy of the result; and we can therefore replace the figure by another figure which coincides with it approximately, provided that the further inaccuracy so introduced is comparable with the original inaccuracies of measurement.

In the case of mathematical functions certain conditions of continuity are satisfied, and the extent to which the value given by any particular formula differs from the true value may be estimated within certain limits; the main inaccuracy, in favourable cases, being due to the fact that the numerical data are not absolutely exact.

In what follows it will be assumed that the conditions of continuity (which imply the continuity not only of u but also of some of its differential coefficients) are satisfied, subject to the small errors in the values of u actually given; the limits of these errors being known.

Thus gold coins would be within the limits if they contained between 914.6 and 918.6 parts of gold per 1000.

In 1631 the general court of the Massachusetts colony resolved, " that no man shall be admitted to the freedom of this body politic, but such as are members of some of the churches within the limits of the same."

Beyond the limits of New England the progress of the denomination as such was, as we have seen, a good deal hindered for a long period by the willingness of New Englanders going West either to join the Presbyterians, with whom they were substantially agreed in doctrine, or to combine with them in a mixed scheme of policy in which the Presbyterian element was uppermost.

Since 1846 both senators and assemblymen have been elected by single districts, and ever since the state government was established they have been apportioned according to population, but the present constitution limits the representation of New York City in the Senate by declaring that no county shall have more than one-third of all the senators nor any two adjoining counties more than one-half of them.

Within its limits from the upper Hudson westward to the Genesee river was the home of that powerful confederacy of Indian tribes, the Mohawks, Oneidas, Onondagas, Cayugas and Senecas, known to the French as the Iroquois and to the English as the Five (later Six) Nations.