A chap-book called Vida politica y militar de Don Tomas Zumalacarregui, which gives the, facts of his life with fair accuracy, is still very popular in Spain.
A close observer of the multifarious low life of Hungary, Mikszath has, in his short stories, given a delightful yet instructive picture of all the minor varied phases of the peasant life of the Sla y s, the Palocok, the Saxons, the town artisan.
A complete edition of his works was published by Gregorio Mayans y Siscar (Valencia, 1782).
A contemporary account of Clement was written by Augustin de Andres y Sobinas,.
A particular case of the last equation, namely, y 2 = ax e + 1, sorely taxed the resources of modern algebraists.
A philosopher," as Gibbon long ago pointed out, _ who asks from what articles of faith above and against reason the early Reformers enfranchised their followers of P will be surprised at their timidity rather than scandal Y ized by their freedom.
A relation (R) is serial when (I) it implies diversity, so that, if x has the relation R to y, x is diverse from y; (2) it is transitive, so that if x has the relation R to y, and y to z, then x has the relation R to z; (3) it has the property of connexity, so that if x and y are things to which any things bear the relation R, or which bear the relation R to any things, then either x is identical with y, or x has the relation R to y, or y has the relation R to x.
A relative stream line, along which 1/,' = Uc, is the quartic curve y-c=?![2a(r-x)], x = 4a2y2-(y g)4, r- 4a2y2 +(y c) 4, 7) 4 a (y-c) 4a(y and in the absolute space curve given by 1', dy= (y- c)2, x= 2ac_ 2a log (y -c) (8) 2ay y - c 34.
A similar position has also been taken up by Schiirer, 3 Holtzmann,4 Gebhardt, 5 W y llie,' and van Manen.
A younger brother of Toghrul, Daud, took possession of Mer y and Herat.
Ablutions both of persons and things are usually cathartic, that is, intended to purge away evil influences (KaOaipa y, to make KaOapos, pure).
About 1879 dynamos began to be introduced into metallurgical practice, and from that date onwards numerous schemes for utilizing this cheaper source of energy were brought before theublic. The first electrical method worthy lectrical P y reduction.
About 804 Charlemagne, in order to defend the line of the Saale against the Sla y s, founded the Thuringian mark, which soon became practically coextensive with the former duchy.
About the same time Francesco Maurolico, or Maurolycus, the eminent mathematician of Messina, in his Theore y nata de Lumine et Umbra, written in 1521, fully investigated the optical problems connected with vision and the passage of rays of light through small apertures with and without lenses, and made great advances in this direction over his predecessors.
According to this notation, the three equations of motion are dt2 = b2v2E + (a2 - b2) d.s dt =b2v2rj+(a2 - b2) dy d2 CIF - b2p2+(a2_b2)dz It is to be observed that denotes the dilatation of volume of the element situated at (x, y, z).
Adam Smith, dur'ng his stay on the continent with the y oung duke of Buccleuch in 1764-66, spent some time in Paris, where he made the acquaintance of Quesnay and some of his followers; he paid a high tribute to their scientific services in his Wealth of Nations.
Adolfo Bonilla y San Martin's Luis Vives y la filosofia del renacimiento (Madrid, 1903) is a valuable and interesting study which includes an exhaustive bibliography of Vives's writings and a critical estimate of previous monographs.
After vaguely looking at it a long time, "Il n'y a que moi qui pouvais concevoir la tete de Leonidas," he whispered, and died.
Again, it is not unlikely that the Politics was arranged in the traditional order of books by Theophrastus, and that this is the meaning of the curious title occurring in the list of Aristotle's works as given by Diogenes Laertius, rroXcTCKns IcKpoavEC.os ws OeocApa6Tov a'13'y'8'E'srrt', which agrees with the Politics in having eight books.
All hope of crushing revolutionary Vienna with Magyar aid was thus at an end, and Jellachich, who on the 10th issued a proclamation to the Croat regiments in Italy to remain with their colours and fight for the common fatherland, was free to carry out his policy of identifying the cause of the southern Sla y s with that of the imperial army.
Also a unit class is any class with the property that it possesses a member x such that, if y is any member of the class, then x and y are identical.
Although excelled by Alabama in th County Seats County Boundaries; ' -i f y?
Although experi ments on this matter are badly needed, there is little Y doubt that good steel concrete is very nearly indestruc- tire.
Although many " General " and other meetings were held in different Period of parts of the country for the purpose of setting P Y P P g forth Quakerism, the notion that the whole Christian church would be absorbed in it, and that the Quakers were, in fact, the church, gave place to the conception that they were " a peculiar people " to whom, more than to others, had been given an understanding of the will of God.
Although the Bab g (4) g Y lonian religion presents a very gloomy view of the world of the dead, it is not without a few faint glimpses of a hope that a few mortals at least may gain deliverance from the dread doom.
Although the Finns are not Sla y s, on topographical grounds mention may here be made of Wainamoinen, the great magician and hero of the Finnish epic Kalevala (" land of heroes ").
Among his publications were the well-known quarterly magazine Y Traethodydd (" The Essayist"), Gwyddoniadur Cymreig (" Encyclopaedia Cambrensis"), and Dr Silvan Evans's English-Welsh Dictionary (1868), but his greatest achievement in this field was the newspaper Baner Cymru (" The Banner of Wales"), founded in 1857 and amalgamated with Yr Amserau (" The Times") two years later.
Among other rivers having a westerly direction may be mentioned the Tambre, the Ulla and the Lerez or Ler, which falls into the Atlantic by estuaries or rigs called respectively Ria de Muros y Noya, Ria de Arosa and Ria de Pontevedra.
Among the numerous works that more or less expressly deal with this subject, that of Marina (Ensayo historico-critico sobre la antigua legislacion y principales cuerpos legales de los reynos de Leon y Castilla) still continues to hold a high place.
Among the Yugosla y s the students had always dabbled unduly in politics, and this tend-.
An article on monastic arrangements would be incomplete without some account of the convents of the Mendicant or Preaching Friars, including the Black Friars or Domini cans, the Grey or Franciscans, the White or Carmelites, Y Friars.
Analytically, the Cartesian equation to a coaxal system can be written in the form x 2 + y 2 + tax k 2 = o, where a varies from member to member, while k is a constant.
Any additional pressure applied to the fluid will be y transmitted equally to every point in the case of a liquid; this principle of the transmissibility of 1 1 pressure was enunciated by Pascal, 1653, and FIG.
As a matter of fact, all dates in this era down to the 10th century never use the word Vikram, but that of Mala y a instead, that being the tribe that gives its name to Malwa.
As a rule these equations are established immediately by determining the component acceleration of the fluid particle which is passing through (x, y, z) at the instant t of time considered, and saying that the reversed acceleration or kinetic reaction, combined with the impressed force per unit of mass and pressure-gradient, will according to d'Alembert's principle form a system in equilibrium.
As an application of moving axes, consider the motion of liquid filling the ellipsoidal case 2 y 2 z2 Ti + b1 +- 2 = I; (1) and first suppose the liquid be frozen, and the ellipsoid l3 (4) (I) (6) (9) (I o) (II) (12) (14) = 2 U ¢ 2, (15) rotating about the centre with components of angular velocity, 7 7, f'; then u= - y i +z'i, v = w = -x7 7 +y (2) Now suppose the liquid to be melted, and additional components of angular velocity S21, 522, S23 communicated to the ellipsoidal case; the additional velocity communicated to the liquid will be due to a velocity-function 2224_ - S2 b c 6 a 5 x b2xy, as may be verified by considering one term at a time.
As it turned out, the actual disembarkations at " S," " X " and " Y " were carried out without any very great difficulty; but the troops detailed for " W " beach only gained a footing after incurring very heavy losses and by a display of indomitable resolution, while at " V " the operation went very near to failing altogether.
As Meissen was relieved from the attacks of the Sla y s by the movement of the German boundary to the east, its prosperity increased.
As might have been anticipated, this caused no break in the policy of the English king and his parliament, and a series of famous acts passed in the year 1534 completed and confirmed the independence of the Church of England, which, except during five years under Queen Mary, p g Y Q Y?
As new axes of co-ordinates we may take any other pair of lines through the origin, and for the X, Y corresponding to x, y any new constant multiples of the sines of the angles which the line makes with the new axes.
As the molten metal is run in, the upward thrust on the outside mould, when the level has reached PP', is the weight of metal in the volume generated by the revolution of APQ; and this, by a theorem of Archimedes, has the same volume as the cone ORR', or rya, where y is the depth of metal, the horizontal sections being equal so long as y is less than the radius of the outside FIG.
As y tends towards co, exp y tends towards co more rapidly than any power of y.
At the beginning of the 16th century the native dynasties Constantine, and the bey of the west who resided at Y Mascara and afterwards at Oran.
At the vertex A, where y =H, we have t = t' =1-T, so that (33) H = sgT2, which for practical purposes, taking g= 32, is replaced by (34) H = 4T 2, or (2T)2.
At this period there seemed a strong probability of the junction of the north-western and southeastern Sla y s, and the formation of a great Slavonic power to east of the German empire.
Before he went to India he was one of the original contributors to the Saturda y Review, founded in 1855, and the inventor of its name.
Below Chitral are found the thickly timbered forests of Dir and Bajour, and the fertile y valles of the Panjkora and Swat rivers.
Bettws y coed is a favourite village for artists and tourists.
Between it and the transept we find the sacristy (X), and a small book-room (Y), armariolum, where the brothers deposited the volumes borrowed from the library.
Bribery was the first weapon employed, and a car- y p dinal's hat was held out as a bait.
But from a study of Dalton's own MS. laboratory notebooks, discovered in the rooms of the Manchester society, Roscoe and Harden (A New View of the Origin of Dalton's Atomic Theor y, 1896) conclude that so far from Dalton being led to the idea that chemical combination consists in the approximation of atoms of definite and characteristic weight by his search for an explanation of the law of combination in multiple proportions, the idea of atomic structure arose in his mind as a purely physical conception, forced upon him by study of the physical properties of the atmosphere and other gases.
But if y is the displacement at A, dy/dx is the extension at A, and the force acting is a pull across A equal to Y&uodyldx, where Y is Young's modulus of elasticity.
But in 1368 the bishop was forced to recognize various liberties and customs that had been gradually won by the citizens, the Plaid General of that year showing that there was already some kind of municipal government, save for the cite, which was not united with the y ule inferieure or the other four quartiers (Bourg, St Laurent, La Palud and Le Pont) in 1481.
But many of the simpler P Y ler P forms of life may undergo desiccation to such an extent as to arrest their vital manifestations and convert them into the semblance of not-living matter, and yet remain potentially alive.
By the decree of the council of Trent he must be thirty Rom aa Y S' Cat h olic. years of age, of legitimate birth, and of approved learning and virtue.
By the treaty of Verdun in 843 Saxony fell to Louis the German, but he paid little attention to the northern part of his kingdom which was harassed by the Normans and the Sla y s.
By this time it was sufficiently obvious that the Yugosla y s were tacitly if not explicitly agreed upon a triple parallel policy, framed for all contingencies.
C A W W 3 j ?..a... ? ?-- -- - n--- --y ?
Ch is always to be sounded as in church, g is always hard; y always represents a consonant; whilst kh and gh stand for gutturals.
Charlemagne's wars in Italy, Spain and Saxony formed part of the common epic material, and there are references to his wars against the Sla y s; but especially he remained in the popular mind as the great champion of Christianity against the creed of Mahomet, and even his Norman and Saxon enemies became Saracens in current legend.
Close by are the old church of the Jesuits and the mechanics' school (arres y oficios) with its large and well-equipped shops.
Consider the motion given by w=U(z+a2/z), (I) 4,=U(r+- r) cos 0= U + a1x, so that (2) = U (r-)sin 0= U(i -¢) y.
Curvature of the primary focal line having a very injurious effect upon definition, it may be inferred from the excellent performance of these gratings that y is in fact small.
Da Gama made no landing here and, like Discovery the rest of South Africa, Natal was neglected by the and early g Y his tory.
Deep valleys winding through the barren foothills lead gradually up to the higher mountains, and as the track ascends the scenery and vegetation change their character; the trees which line the banks of the wadi are overgrown with creepers, and the running stream is dammed at frequent intervals, and led off in artificial channels to irrigate the fields on either side; the steeper parts of the road are paved with large stones, substantially built villages, with their masonry towers or da y s, crowning every height, replace the collection of *mud walls and brushwood huts of the low country; while tier above tier, terraced fields cover the hill slopes and attest the industry of the inhabitants and the fertility of their mountains.
Descending series of the semi-convergent class, available for numerical calculation when u is moderately large, can be obtained from (12) by writing x=uy, and expanding the denominator in powers of y.
Disunion had reduced the Yugosla y s to an almost negligible quantity in Balkan politics.
Don Enrique de Villena took from Les Prouesses his prose Los Doze Trabajos de Hercules (Zamora, 1483 and 1499), and Fernandez de Heredia wrote Trabajos y afanes de Hercules (Madrid, 1682), which belies its title, being a collection of adages and allegories.
During his long reign of forty-nine years Poland had gradually risen to the rank of a great power, a result due in no small measure to the insight and sagacity of the first Jagiello, who sacrificed every other consideration to the vital necessity of welding the central Sla y s into a compact and homogeneous state.
During the 'seventies Austro-Hungarian policy was increasingly successful in checking intercourse between the Yugosla y s of the monarchy and those outside its bounds.
During the differences that arose in 1485 between the regent, Anne of Beaujeu, and the dukes of Orleans, Brittany and Alengon, Imbert de Batarn y kept the inhabitants of Orleans faithful to the king.
During the reign of Sultan Sanjar or Sinjar of the same house, in the middle of the 11th century, Mer y was overrun by the Turkish tribes of the Ghuzz from beyond the Oxus.
Each " saying " is introduced by the phrase Jesus says " (XE'y€) and the collection is described in the introductory words of the 1903 series as Xoyyoc not as X&yca.
Early in 1503 Machiavelli drew up for Soderini a speech, Discorso sull y provisione del danaro, in which the duty and necessity of liberal expenditure for the protection of the state were expounded upon principles of sound political philosophy.
East of the old Seljuk capital is Giaur Kalah, the Mer y of the Nestorian era and the capital of the Arab princes.
Either or both of the expressions K and L will have to be calculated by means of the formula of § 84; if this is applied to both expressions, we have a formula which may be written in a more general form f f 4 u4(x, y) dx dy = u dx dy.
English also adopted the value of s for c in the 13th century before e, i and y.
Example 3.-Analysing in this way the rotation of a rectangle filled with liquid into the two components of shear, the stream function 1//1 is to be made to satisfy the conditions v 2 /1 =0, 111+IRx 2 = IRa 2, or /11 =o when x= = a, +b1+IRx 2 = I Ra2, y ' 1 = IR(a 2 -x 2), when y = b Expanded in a Fourier series, 2 232 2 cos(2n+ I)Z?rx/a a -x 7r3 a Lim (2n+I) 3 ' (1) so that '?"
Extraction of cane juice by diffusion (a process more fully described under the head of beetroot sugar manufacture) is adopted in a few plantations in Java and Cuba, in Louisiana Etr cti o n and the Hawaiian Islands, and in one or two factories y f i in Egypt; b u t hitherto, except under exceptional conditions (as at Aska, in the Madras Presidency, where the local price for sugar is three or four times the London price), it would not seem to offer any substantial advantage over double or triple crushing.
Five years later Potemkin induced the chiefs of the Crimea and Kuban to hold a meeting at which the annexation of their country to Russia was declared, Turkey giving her consent by a convention, signed at Constantinople, on the 8th of January 1784, by which the stipulations as to the liberty of the Tatars contained in the treaty of Kuchuk Kainarji and the convention of Ainali Ka y ak were abrogated.
For a brief period, in the 7th and 8th centuries, the conquering Sla y s made it one of their Zupanates, or governments; but in the 10th century it was sacked by the Magyars, and in 1092 its territories were bestowed upon the cathedral chapter of Agram by Ladislaus I., king of Hungary.
For an iron wire Y is about 10 12 /4, so that for a frequency of 500 in a wire fixed at both ends a length about 5 metres is required.
For centuries, they exercised the power of life and death; a stone stands where the gallows were formerly erected, and indicates that here they exercised jur y regalia.
For instance, with n = I in equation (9), the relative stream function is obtained for a sphere of radius a, by making it, y' =1y+2Uy 2 = 2U(r 2 -a 3 /r) sin?
For outdoor culture the long-rod s y stem is generally preferred.
For the history, see in addition to the works cited under Spain (section History), Cronicas de los reyes de Castilla, by C. Rosell (Madrid, 1875-1877, 2 vols.); Coleccion de las cronicas y memorias de los reyes de Castilla (Madrid, 1 7791787, 7 vols.); and Historia de las communidades de Castilla (Madrid, 1897).
For the latter they have nothing but condemnation, but the former they acknowledge as part of the divine order of the state, while the y complain that the priests have prostituted their office for lucre.
For the osculating circle at any point includes the whole of the y curve which lies beyond; and the successive convolutions envelop one another without intersection.
For the superposition of these trains will give a stationary wave between A H A (16) Y which is an equation characteristic of simple harmonic motion.
For two different gases with the same value of y, but with densities at the same pressure and temperature respectively p i and p2, we should have U1/U2 =1 1 (P2/P1), (Io) another result confirmed by observation.
From the differential coefficients of the y's with regard to the x's we form the functional.
Fully realizing, the difficult P Y g?
Greek fell still further into the background; and Homer and Demosthenes The age of g Y g Y iFrenchnfluence.
Greek monks played a considerable part in the evangelization of the Sla y s, and the first Russian monastery was founded;at Kiev (c. 1050) by a monk from Mount Athos.
Hamburg probably had its origin in a fortress erected in 808 by Charlemagne, on an elevation between the Elbe and Alster, as a defence against the Sla y s, and called Hammaburg because of the surrounding forest (Hamme).
Having been returned again for the university of Oxford, he entered on the active duties of a great office for which he was pre-eminently g P Y House of government in power, but on the 18th of October the commons.
He instinctively recognized not only the vital necessity of the maintenance of the union between the two states, but also the fact that the chief source of danger to the union lay Gas;m11 IV., g y in Lithuania, in those days a maelstrom of conflicting political currents.
He is also found confirming his old rival Arnulf in the see of Reims; summoning Adalbero or Azelmus of Laon to Rome to answer for his crimes; judging between the archbishop of Mainz and the bishop of Hildesheim; besieging the revolted town of Cesena; flinging the count of Angouleme into prison for an offence against a bishop; confirming the privileges of Fulda abbey; granting charters to bishoprics far away on the Spanish mark; and, on the eastern borders of the empire, erecting Prague as the seat of an archbishopric for the Sla y s.
He neglected religion, or regarded it as part of the state machiner y.
He subsequently organized the army of Italy and the two departments into which Corsica had been divided, was deputy to the Council of the Five Hundred, and accepted various offices under the Consulate and the Empire, being minister of police and of wa y ..
He was highly esteemed in devout circles as the author of De la aficiOn y amor de Jesus (1630), and De la aficion y amor de Maria (1630), both of which were translated into Arabic, Flemish, French, German, Italian and Latin.
Hence it still seems best to assume some unknown Aramaic form equivalent to 7rapaicX y as, and then to take the latter in the sense of comfort or encouragement.
Hence the density v is given by 47rabc (x2/a4+y2/b4-I-z2/c4), and the potential at the centre of the ellipsoid, and therefore its potential as a whole is given by the expression, adS Q dS V f r 47rabc r' (x2/a4-I-y2/b4+z2/c4) Accordingly the capacity C of the ellipsoid is given by the equation 1 I J dS C 47rabc Y (x 2 +y 2 + z2) V (x2/a4+y2/b4+z2/c4) (5) It has been shown by Professor Chrystal that the above integral may also be presented in the form,' foo C 2 J o J { (a2 + X) (b +X) (c 2 + X) } (6).
His attempt at classification was certainly better than that of Linnaeus; and it is rather curious that the researches of the latest ornithologists point to results in some degree comparable with Brisson's systematic arrangement, for they refuse to keep the birds-of-prey at the head of the Class A y es, and they require the establishment of a much larger number of " Orders " than for a long while was thought advisable.
His family was of patrician rank and traced a legendary descent from lulus, the founder of Alba g Y, Longa, son of Aeneas and grandson of Venus and Anchises.
His father was Juan Vicente Bolivar y Ponte, and his mother Maria Concepcion Palacios y Sojo, both descended from noble families in Venezuela.
His real name was Juan de Yepez y Alvarez; in religion he was known as Juan de San Matias till 1568, when he adopted the name of Juan de la Cruz.
His Storia critica di Spagna e della cultura spagnuola in ogni genere (2 vols., 1781-1784) was finally expanded into the Historia critica de Espana y de la cultura espanola (1783-1805), which, though it consists of twenty volumes, was left unfinished; had it been continued on the same scale, the work would have consisted of fifty volumes.
His successor was Nabo oPP Y P lassar, between whom and the last king of Assyria war broke out.
His treatise De natura novi orbis libri duo (Salamanca, 1588-1589) may be regarded as the preliminary draft of his celebrated Historia natural y moral de las Indias (Seville, 1590) which was speedily translated into Italian (1596), French (1597), Dutch (1598), German (1601), Latin (1602) and English (1604).
His view was that all things are substances, in the sense of distinct individuals, each of which has a being of its 1 The article is supplemented b y e.g.
Holinshed (who was followed by Shakespeare in 2 Henry VI., act 4 sc. 6) tells us that when Cade, in 1450, forced his way into London, he first 45 Y of all proceeded to London Stone, and having struck his sword upon it, said in reference to himself and in explanation of his own action, " Now is Mortimer lord of this city."
Hooke, in 1674, published his observations of y Draconis, a star of the second magnitude which passes practically overhead in the latitude of London, and whose observations are therefore singularly free from the complex corrections due to astronomical refraction, and concluded that this star was 23" more northerly in July than in October.
Huxley adopted Latreille's view of the distinctness of the Amphibia, as a class of the Vertebrata, co-ordinate with the Mammalia, A y es, Reptilia and Pisces; and the same arrangement was accepted by Gegenbaur and Haeckel.
I,151,210 II 1 Czechs, Magyars, Sla y s Bohemia 77,247 01 Hungary 256,347 2.5 Poland 141,908 Rumania 10,377 0.1 Russia 500,797 0 I Total Europe 9,197,014 88.9 3.6 Grand Total 10,339,539 Total Swiss-Switzerland Greeks-Greece Turks-Turkey Europe, not specified 135,736 7,325 3,411 294 North America All other countries 77 6, 071 7.5 366,454 100 0 1'4 4.8 9.5 A very important transformation has taken place in the proportionate number coming from different countries during the last half of the 19th century.
If F T is the force along r and F t that along t at right angles to r, F r =X cos 0+ Y sin 0=M 2 cos 0, F t = - X sin 0+ Y cos 0 = - r 3 sin 0.
If m and n are finite cardinal numbers, the rational number m/n is the relation which any finite cardinal number x bears to any finite cardinal number y when n X x = m X y.
If now the curve moves along unchanged in form in the direction ABC with uniform velocity U, the epoch e =OA at any time t will be Ut, so that the value of y may be represented as 2 y=a sin T (x - Ut).
If r is of the order of A, n is of the order of y; and the kinetic energy of the radial motion is of the same order as that of the longitudinal motion.
If the data of the briquette are, as in § 86, the volumes of the minor briquettes, but the condition as to close contact is not satisfied, we have y "`x P u dx dy = K + L + R - X111010-0,0 f xo yo i'?
If the direction of motion makes an angle 0' with Ox, tan B' = d0 !dam _ ?xy 2 = tan 20, 0 =-10', (9) dy/ y and the velocity is Ua2/r2.
If the liquid is stirred up by the rotation R of a cylindrical body, d4lds = normal velocity reversed dy = - Rx- Ry ds (5) ds 4' + 2 R (x2 + y2) = Y, (6) a constant over the boundary; and 4,' is the current-function of the relative motion past the cylinder, but now V 2 4,'+2R =o, (7) throughout the liquid.
If the planes of one set divide it into m slabs of thickness h, and those of the other into n slabs of thickness k, so that H =mh, K = nk, then the values of x and of y for any ordinate may be denoted by xo+Oh and yo+Ok, and the length of the ordinate by uo, 0.
If U is the velocity of sound in a gas at pressure P with density p, and if waves of length X and frequency N are propagated through it, then the distanc?e l between the dust-heaps is 2 = N - zN Vyp' where y is the ratio of the two specific heats.
If V denote the potential, F the resultant force, X, Y, Z, its components parallel to the co-ordinate axes and n the line along which the force is directed, then - sn = F, b?= X, - Sy = Y, -s Surfaces for which the potential is constant are called equipotential surfaces.
If w is the total pressure excess, and if y is the total displacement at x, then w = E Xchange of volume _original volume = - Edy/dx.
If we put this in the form y=a sin (x - e), we see that y=o, for x =e, e +aX, e+2A, e+;X, and so on, that y is + from x=e to x=e+iX, - from e+zX to e+?A, and so on, and that it alternates between the values+a and - a.
If we start with F as key-note, besides a small difference at we have as the fourth from it 3 X 4 = y, making with B = I R 5 an interval and requiring a new note, B flat.
Ignoring temperature effect, and taking the density as a function of the pressure, surfaces of equal pressure are also of equal density, and the fluid is stratified by surfaces orthogonal to the lines of force; n ap, dy, P d z, or X, Y, Z (4) are the partial differential coefficients of some function P, =fdplp, of x, y, z; so that X, Y, Z must be the partial differential coefficients of a potential -V, such that the force in any direction is the downward gradient of V; and then dP dV (5) ax + Tr=0, or P+V =constant, in which P may be called the hydrostatic head and V the head of potential.
In 1221 Mer y opened its gates to Tule, son of Jenghiz Khan, chief of the Mongols, on which occasion most of the inhabitants are said to have been butchered.
In 1558 it received a coat of arms and the title of "Muy noble y muy Leal" from the king of Spain - a distinction of great significance in that disturbed period of colonial history.
In 1864 Don Manuel Orozco y Berra found no fewer than 51 distinct languages and 69 dialects among the Indian inhabitants of Mexico, to which he added 62 extinct idioms - making a total of 182 idioms, each representing a.
In 57 B.C. the Sakas were attacked simultaneously by Parthians from the west and by the Mala y a clans from the east and their power was destroyed.
In 822 and 823 two great diets were held in the palace, and at the former there were present deputies from the eastern Sla y s, the Avars and the Normans.
In a similar way the more general state of motion may be analysed, given by w =r ch2('-y), y =a+, i, (26) as giving a homogeneous strain velocity to the confocal system; to which may be added a circulation, represented by an additional term in w.
In December 1721 his father died, leaving him property (rather more than four thousand 'l y res a year), which was soon increased by a pension of half the amount from the regent.
In December m this assembly met at Potchefstroom, and for three y, weeks was engaged in modelling the constitution 1856.
In Egypt we find them classified as avyyeve;s, 46rtpot rag cvyyevEat y, apXcvwµarocuAalEs, 7rpwTot 0LAot, q5LAot (in the narrower sense),Sca60xoc. For the Seleucid kingdom vwyyEvEis,7rpWToc 0LAoc and 4'LAot are mentioned.
In Florida the system contains Y calcium phosphate of commercial value.
In Hindu (the Puranas), Parsi and Arab tradition, Mer y is looked upon as the ancient Paradise, the cradle of the Aryan families of mankind, and so of the human race.
In his youth Ricardo Palma published three books of poems, entitled Armonias, Verbos y Gerundios and Pasionarias, and then, since 1870, devoted his great literary talents to writing the historical traditions of Peru, of which six volumes were published.
In its earliest form it ran simply - "Glor y be to the Father, and to the Son, and to the Holy Ghost, world without end, Amen," or "Glory be to the Father, in (or through) the Son, and in (or through) the Holy Ghost."
In J u d y 1909, however, the Greek flag was hoisted in Canea and Candia, and it was only lowered again after the war-ships of the protecting powefs had been reinforced and had landed an international force.
In July the Natal ministry J Y Y learnt that it was not the intention of the Imperial government to endeavour to hold the frontier in case hostilities arose, but that a line of defence considerably south of the frontier would be taken up. This led to a request on their part that if the Imperial government had any reason to anticipate the breakdown of negotiations, " such steps may be at once taken as may be necessary for the effectual defence of the whole colony."
In legal matters he belonged first to the Shafi`ite school, but came to adopt the views of the Zahirites, who admitted only the external sense of the Koran and tradition, disallowing the use of analogy (Qiyas) and Taglid (appeal to the authority of an imam), and objecting altogether to the use of individual opinion (Ra`y).
In many forms deep-staining grains or granules, of a chromatoid nature and of var y ing size, are to be seen in the cytoplasm.
In Mexico the former labours of Pimentel and Orozco y Berra are supplemented by those of Bandelier, Penafiel, Herrera and Alfredo Chavero.
In philosophy the Poles (as the Sla y s generally) have produced but few remarkable names.
In regard to methods and apparatus, mention should be made of his improvements in the technique of organic analysis, his plan for determining the natural alkaloids and for ascertaining the molecular weights of organic bases b y means of their chloroplatinates, his process for determining the quantity of urea in a solution - the first step towards the introduction of precise chemical methods into practical medicine - and his invention of the simple form of condenser known in every laboratory.
In spite of any inequality between p and p', the definition will be good to this order of approximation, provided a and y vanish.
In the 19th century were Variedades de ciencias, literatura, y artes (1803-1805), among whose contributors have been the distinguished names of Quintana, Moratin and Antillon; Misceldnea de comercio (1819); and Diario general de las ciencias medicas.
In the 7th century Sla y s and Bulgarians entered the country and founded the modern kingdoms of Servia and Bulgaria.
In the absolute path in space cos Ili = (2 - 3 sin 2 6)/1/ (4-sin 2 6), and sin 3 B = (y 3 -c 2 y)/a 3, (19) which leads to no simple relation.
In the case of the briquette the position of the foot of the ordinate u is expressed by co-ordinates x, y, referred to a pair of axes parallel to a pair of sides of the base of the briquette.
In the concordat of 1801 the papacy recognized the validity of the sales of Church of 180E g Y property, and still further reduced the number of dioceses; it provided that the government should appoint and support the archbishops and bishops, but that the pope should confirm them; and France recognized the temporal power, though shorn of Ferrara, Bologna and the Romagna.
In the event of the male line of the present ruling family becoming extinct, the female line will succeed in Waldeck, but Pyrmont wil y fall to Prussia.
In the first class come equations in a single unknown; here the function which is equated to zero is the Y whose values for different values of X are traced, and the solution of the equation is the determination of the points where the ordinates of the graph are zero.
In the Hungarian diet, which met on the 2nd of July, the influence of the conservative cabinet was wholly overshadowed by that of Kossuth, whose inflammatory orations - directed against the disruptive designs of the Sla y s and the treachery of the Austrian government - precipitated the crisis.
In the latter part of the 8th century Mer y became obnoxious to Islam as the centre of heretical propaganda preached by Mokanna.
In the latter year was created the Real Audiencia de la Plata y Charcas, a royal court of justice having jurisdiction over Upper Peru and the La Plata provinces of that time.
In the meantime they plundered and destroyed the flourishing cities of Mer y and Nishapur; and when Sinjar, after his escape from captivity, revisited the site of his capital he fell sick of sorrow and grief and died soon afterwards (1157).
In the middle of words when t precedes a palatal sound like i (y) which is not syllabic, it coalesces with it into the sound of sh as in position, nation, &c. The change to a sibilant in these cases took place in late Latin, but in Middle English the i following the t was still pronounced as a separate syllable.
In the preface it is stated that Howel, "seeing the laws and customs of the country violated with impunity, summoned the archbishop of Menevia, other bishops and the chief of the clergy, the nobles of Wales, and six persons (four laymen and two clerks) from each comot, to meet at a place called Y Ty Gwyn ar Da y, or the white house on the river Tav, repaired thither in person, selected from the whole assembly twelve of the most experienced persons, added to their number a clerk or doctor of laws, named Bllgywryd, and to these thirteen confided the task of examining, retaining, expounding and abrogating.
In the same figure the free part of the inner lamella of the inner gill-plate resting on the foot is marked z, whilst the attached parjt - the most anterior - has been snipped with scissors so as to show the genital and nephridial apertures x and y.
In the same way the volume of a briquette between the planes x = xo, y = yo, x= a, y = b may be denoted by [[Vx,y ]y=yo] u 'x' =xo.
In the theory of surfaces we transform from one set of three rectangular axes to another by the substitutions 'X=' by+ cz, Y = a'x + b'y + c'z, Z =a"x+b"y-l-c"z, where X 2+Y2+Z2 = x2+ y2+z2.
Influenced by somewhat similar motives, fearing from the advance of civilization the destruction of the buffalo, on which they chiefly depended for food, robes Y Y P ?
Inside an equilateral triangle, for instance, of height h, - 2Ra/3y/h, (8) where a, 13, y are the perpendiculars on the sides of the triangle.
Integrating (27) again, (31) y =g(zTt2t 2) = zgt(T -t); and denoting T-t by t', and taking g= 32f/s2,) y =16tt', (32 which is Colonel Sladen's formula, employed in plotting ordinates.
It can be proved by geometry that (aA-H3B) +yC = aA+(aB+- y C) = (a + 1 3+ 7) P, where P is in fact the centroid of masses a, 13, y placed at A, B, C respectively.
It does not appear that any portion of the sacrifice was burned on the altar, or that any part of the victim was the due of the sanctuar y.
It is also clearly impossible to express u as an algebraical function of x and y if some value of du/dx or duldy is to be infinite.
It is indeed just possible that the term may originally have signified "true member of a clan," since membership of a phratry was a characteristic of each clan ('y vos).
It is necessary in the first er P g Y Y Criticism.
It is positive for all values of y and increases steadily from o toward as y increases from -co towards + oo.
It is the MS. of Father Francisco Ximenez, Historia de la Provincia de San Vicente de Chiapa y Guatemala, in three big volumes in folio, which contain the famous Spanish translation of the Quiche myths or the " Popol-Vuh."
It is the value of y which is generally denoted by q= q'; a special symbol for x is desirable, but has not been established.
It is thus possible to study simultaneously all the theories which depend upon operations of the group. Symbolic Representation of Symmetric Functions.-Denote the s 8 s elementar symmetric function a s by al a 2 a3 ...at pleasure; then, Y y si,, si,...
It is, however, impossible to subdivide the Sierra Madre into a northern and a volcanic chain; for the volcanoes are isolated by stretches of comparatively low countr y; at least thirteen considerable streams flow down between them, from the main watershed to the sea.
It may be safely said of all those living things which are large enough to enable us to trust the evidence of microscopes, that they are heterogeneous optically, and that their different parts, and especially the surface layer, as Life and contrasted with the interior, differh sicall and organiza- P Y ?
It was a confused four-cornered struggle between the emperor and the Turks, the Turks and Transylvania, Michael of Moldavia and Y ?
It was about this time that Mer y reached the zenith of her glory.
It was provided by statute that before June 1910, there should have been established in each county of the state at least one County High School to which all common school graduates of the count y should be admitted without charge.
It was the liberal-minded Germans who were instrumental in the first place in getting them passed; while the Sla y s from the beginning took up - to their own disadvantage - a hostile or at least passive attitude towards the establishment of these laws."
Its angular points have then co-ordinates (x t Zdx, y t Zdy, z * zdz).
Its central bureau, with departments of the interior, religion and education, finance and justice, was established at Serajevo; and its members were largely recruited among the Austrian Sla y s, who were better able than the Germans to comprehend the local customs and language.
Its consonants are k, g, ng, ch, j, n, t, d, n, p, b, m, y, r, l, w, s, h.
Its water-holding capacity is great, but it is often acid, and when dr y it is light and incapable of supporting the roots of plants properly.
Jellachich, who as a soldier was devoted to the interests of the imperial house, realized that the best way to break the revolutionary power of the Magyars and Germans would be to encourage the Slav national ideas, which were equally hostile to both; to set up against the Dualism in favour at Pest and Vienna the federal system advocated by the Sla y s, and so to restore the traditional Habsburg principle of Divide et impera.
John balormy y es his name, a man of ful gud fame."
Later in the centu r y Dionysius of Alexandria applies some acute criticism to justify the Alexandrian dislike of the Apocalypse.
Later on he chose Mer y for his residence, and was the owner of a house and garden there.
Latreille 6 published a new classification of the Vertebrata, which are primarily divided into Haematherma, containing the three classes of Maminifera, Monotremata and A y es; and Haemacryma, also containing three classes - Reptilia, Amphibia and Pisces.
Let us apply the above theorem to the case of a small parallelepipedon or rectangular prism having sides dx, dy, dz respectively, its centre having co-ordinates (x, y, z).
Let us suppose any other surface described in the electric field so as to cut the closel y compacted tubes.
Let X and Y be the related quantities, their expressions in terms of selected units A and B being x and y, so that X=x.A, Y = y.
Let X, Y, And Z Be The Three Quotients Of The Divisions; The Number Sought Will Then Be Expressed By 28 X Io, By 19 Y 2, Or By 15 Z 4.
Let x, y, z be the co-ordinates of any particle of the medium in its natural state, and, 7 7, the displacements of the same particle at the end of time t, measured in the directions of the three axes respectively.
Liudolf, who is sometimes called " duke of the East Saxons," carried on a vigorous warfare against the Sla y s and extended his influence over other parts of Saxony.
Llyn pen rhaiadr (the waterfall-head pool), or Pistyll y llyn (pool spout), is some 6 m.
Long before his death he had become alienated from the advanced school of Catalan nationalists, and endeavoured to explain away the severe criticism of Castile in which his Historia de Cataluna y de la Corona de Aragon (1860-1863) abounds.
Lothair quickly made himself independent, defeated Henry at Welfesholz in 1115, and prosecuted the war against the Sla y s with vigour.
Madoz was distinguished from most of the politicians of his generation by the fact that in middle life he compiled what is still a book of value - a geographical, statistical and historical dictionary of Spain and its possessions oversea, Diccionario geogra Pico, estadistico y historico de Espana, y sus posesiones de Ultramar (Madrid, 1848-1850).
Many candidates qualifica- approach the calling with a very imperfect a reciaPP g Y P PP tion of its exacting character.
Many stars satisfy the condition of equality of polar distance with that of y Draconis, but few were bright enough to be observed in Molyneux's telescope.
Meanwhile the Spanish governor-general, Manuel Macias y Casado, had ordered the forces under his command in the southern part of the island to fall back towards the ridge of mountains intersecting it from east to west, just north of the town of Coamo.
Meanwhile the whole Nationalist press of Italy, actively, encouraged by Sonnino and his entourage, opened a fierce campaign against the Yugosla y s and their western supporters, which rapidly developed into agitation against the Allies.
Mer y remained in the hands of Persia until 1787, when it was captured by the emir of Bokhara.
Meyer (Be y ., 1880, 1 3, p. 394), who found that the change of colour was accompanied by a change of vapour density.
More than seven-tenths (160,105) were worked by owners or part owners, and onl y 34,529 by share tenants, and 2 3,737 by cash tenants.
Moreover, it is clear that Aristotle addressed himself to readers as well as hearers, as in concluding his whole theory of syllogisms he says, " There would remain for all of you or for our hearers (763,7 co y uµWV rt T&?v ipcpoapEVwv) a duty of according to the defects of the investigation consideration, to its discoveries much gratitude " (Sophistical Elenchi, 34, 184 b 6).
Moreover, it is very doubtful whether the word r y ?c can be translated " Director."
None of them, in point of fact, has held its ground, and even his proposal to denote unknown quantities by the vowels A, E, I, 0, u, Y - the consonants B, c, &c., being reserved for general known quantities - has not been taken up. In this denotation he followed, perhaps, some older contemporaries, as Ramus, who designated the points in geometrical figures by vowels, making use of consonants, R, S, T, &c., only when these were exhausted.
Normal and industrial schools for both sexes are maintained, the latter (artes y oficios) performing a very important service for the poorer classes.
Norman Holbrook, successfull y passed the mine-fields of the Straits and torpedoed the old Turkish battleship " Messudieh " at anchor.
Not only do the many intimate y y references to Egyptian history and customs support this position, but it is clear that the Jews of Celsus are not Western or Roman Jews, but belong to the Orient, and especially to that circle of Judaism which had received and assimilated the idea of the Logos.
Now if yi and y 2 are the displacements due to the two trains separately, and y=yl+y2, the two separate forces are Tdy/dx and Tdy 2 /dx, while that due to y is Tdy/dx.
Now suppose that the formula (2) has been established for every power of A+a up to the (n-i)th inclusive, so that (ii_ I) = (n- I) (r), (y I) = (n -1) (r _ l).
Now we may resolve these trains by Fourier's theorem into harmonics of wave-lengths X, 2X, 3A, &c., where X=2AB and the conditions as to the values of y can be shown to require that the harmonics shall all have nodes, coinciding with the nodes of the fundamental curve.
Of the drained lakes south of the former Y, the most important is the Haarlem Lake.
Of the total population 71.36% were Sla y s, who were scarcely distinguishable from their Bohemian neighbours.
On his father's death in 912 he became duke of Saxony, which he ruled with considerable success, defending it from the attacks of the Sla y s and resisting the claims of the German king Conrad I.
On March 3, however, Italy, who had steadily refused to recognize the accomplished fact of Yugoslav unity and insisted on the Conference only admitting the Yugosla y s as a " Serbian " delegation, declined American arbitration and threatened to withdraw altogether from Paris unless their territorial demands were conceded.
On the 17th of February 1867 a responsible inde pendent ministry was formed under Count Gyula 'p y y ' of 1867.
On the 23rd of January 1874 Gladstone announced the dissolution in an address to his constituents, declaring that the authority of the government had o f187atioa g y g of 1874.
On the 3rd of March 1905 a proposal for accepting either French or German as an alternative for either Latin or Greek in the Previous Examination was rejected by 1559 to 1052 votes, and on the 26th of May 1906 proposals distinguishing between students in letters and students in science, and (inter alia) requiring the latter to take either French or German for either Latin or Greek in the Previous Examination, were rejected b y 746 to 241.
On the death of the grandson of Jenghiz Khan Mer y was included (1380) in the possessions of Timur-iLeng (Tamerlane), Mongol prince of Samarkand.
On the other hand, there are thousands of very small species, and the tiny " fairy-flies " (Myynaridae), whose larvae live as parasites in the eggs of various insects, are excessivel y minute for creatures of such complex organization.
On the stiff soils overl y ing the chalk it was formerly the custom to dig pits through the soil to the rock below.
One of the finest of the endemic flowering plants of the group is the boraginaceous "Chatham Island lily" (M y ousitidium nobile), a gigantic forget-me-not, which grows on the shingly shore in a few places only, and always just on the high-water mark, where it is daily deluged by the waves; while dracophyllums, leucopogons and arborescent ragworts are characteristic forms in the vegetation.
Open both to German and French influences, the Netherlands had been the scene of the first executions of Lutherans; they had been a centre of Anabaptist agitation; but Calth y P ?
Originally planted on the Baltic shore for the express purpose of christianizing their savage neighbours, these crusading monks had freely exploited the wealth and the valour of the West, ostensibly in the cause of religion, really for the purpose of founding a dominion of their own which, as time went on, lost more and more of its religious character, and was now little more than a German military forepost, extending from Pomerania to the Niemen, which deliberately excluded the Sla y s from the sea and thrived 'Archbishop of Gnesen 1219-1220.
Other copies of the same manuscript, made by Leon y Gama, Jose Pichardo, Aubin and Brasseur, exist in the Paris National Library in the AubinGoupil collection.
Other museums are Sir John Soane's collection in Lincoln's Inn Fields and the Museum of Practical Geology in Jermyn Street, while the scientific societies have libraries and in some cases collections of a specialized character, such as the museums of the Royal College of Surgeons, the Royal Architectural Society, and the Society of Art and the Parkes Museum of the Sanitar y Institute.
Otto marched against them, and in a battle fought on the Lechfeld on the 10th of August 955 the king's troops gained a brilliant victory which completely freed Germany from these invaders; while in the same year Otto also defeated the Sla y s who had been ravaging the Saxon frontier.
Over a concentric cylinder, external or internal, of radius r=b, 4,'=4,+ Uly =[U I - + Ui]y, (4) and 4" is zero if U 1 /U = (a 2 - b2)/b 2; (5) so that the cylinder may swim for an instant in the liquid without distortion, with this velocity Ui; and w in (I) will give the liquid motion in the interspace between the fixed cylinder r =a and the concentric cylinder r=b, moving with velocity U1.
P Y administrative abilities of his father, and the success of his reign was not commensurate with the vanity of the ruler.
P Y P Crimean War was still going on, but as there was no doubt as to the final issue, and the country was showing symptoms of exhaustion, he concluded peace with the allies as soon as he thought the national honour had been satisfied.
Persia now lay open to the victors, who proclaimed themselves independent at Mer y (which became from that time the official capital of the principal branch of the Seljuks), and acknowledged Toghrul Beg as chief of the whole family.
Plauen was probably founded by the Sla y s.
President Diaz's policy was to keep down disorder with a strong hand; to enforce the law; to foster railway development and economic progress; y '?
Ptolemy catalogued 8 stars, Tycho 7 and Hevelius Of these, the seven brightest (a of the 1st magnitude, 0, y, of the 2nd magnitude, and b of the 3rd magnitude) constitute one of the most characteristic figures in the northern sky; they have received various names - Septentriones, the wagon, plough, dipper and Charles's wain (a corruption of " churl's wain," or peasant's cart).
R=wx (I+x2/4Y2) Let i be the angle between the tangent at any point having the co-ordinates x and y measured from the vertex, then 3..
Rostov was founded by Sla y s in or before 862, and played so prominent a role in the history of that part of Russia that it used to be known as Rostov the Great.
Russia, desirous of deriving some return for the support which she had given the sultan during his rupture with the French, induced the Porte to address to her a note in which the right of intervention in the affairs of the principalities, conferred on her by the treaty of Kainarji and reaffirmed in the convention of Ainali Ka y ak, was converted into a specific stipulation that the hospodars should be appointed in future for seven years and should not be dismissed without the concurrence of the Russian ambassador at Constantinople.
Santa Maria del Mar, Santa Ana, Santos Justo y Pastor, San Pedro de las Puellas, and San Pablo del Campo are all churches worthy of mention.
See Domeyko, Araucania y sus habitantes (Santiago, 1846); de Ginoux, "Le Chili et les Araucans," in Bull.
See Leo Africanus, and Paul Lambert's detailed description in Notice sur la y ille de Maroc (Paris, 1868).
She enriched herself at the expense of the state, corrupted society, degraded the clergy, and in her later years was universall y detested for her mischievous meddling, inexhaustible greed, and.
She was educated at an academy in her native town and by her brother Con y ers Francis (1795-1863), a Unitarian minister and from 1842 to 1863 Parkman professor in the Harvard Divinity School.
Similarly, greater atomic complexity is reflected in a further decrease in the ratio C y /Cy.
Similarly, with the function (19) (2n+ I) 3 ch (2n+ I) ITrb/a' (2) Changing to polar coordinates, x =r cos 0, y = r sin 0, the equation (2) becomes, with cos 0 =µ, r'd + (I -µ 2)-d µ = 2 ?-r3 sin 0, (8) of which a solution, when = o, is = (Ar'+) _(Ari_1+) y2,, ?
Simultaneous equations in two unknowns x and y may be treated in the same way, except that each equation gives a functional relation between x and y.
Since that time, however, valuable maps have been published by an Oficina de mensura de tierras, by a seccion de geografia y minas connected with the department of public works, by the Oficina hidrografica, and more especially in connexion with surveys necessitated by the boundary disputes with Argentina, which were settled by arbitration in 1899 and 1902.
Since the dimensions of T are supposed to be very small in com d parison with X, the factor dy (--) is sensibly constant; so that, if Z stand for the mean value of Z over the volume T, we may write TZ y d e T ?
Since the middle of the 12th century the party of The Papacy P munici al autonomy and indeed, the whole of the and the Y European middle classes, who wished to shake off ofCommune Rome.
Since the Northern and Southern Sla y s had absented themselves and the Poles were in opposition, the Reichsrat was adjourned (May 3), and the Germans now again demanded the grant of a revised constitution, with German as the language of State, a special status for Galicia and Dalmatia, access for the Germans to the Adriatic, and the partition of Bohemia.
So long as the great problems of religion could be envisaged as problems of the relation of Yahweh to Israel as a nation the prophets continued to speak and to bring forth new truths; but the ultimate result was that it became apparent that the idea of moral government involved the destruction of Israel, and then the function of prophecy was gone because it was essentiall y national in its objects.
So That J W=6 (Y) R 3 (113 0 3) R (Rejecting Sevens), The Values Of Which Obviously Circulate In A Period Of 7 Times 30 Or 210 Years.
Solovyov's Modern Priestess of Isis, translated by Walter Leaf (1895), in Arthur Lillie's Madame Blavatsk y and Her Theosophy (1895), and in the report made to the Society for Psychical Research by the Cambridge graduate despatched to investigate her doings in India.
Some of the canals are very old, others are of comparativel y recent construction.
Some years later the bishop of Puebla, Juan de Palafox y Mendoza, transferred many native congregations from the friars to secular priests, and subsequently, in 1647, came into conflict with the Jesuits, whom he excommunicated, but who eventually triumphed with the aid of the Dominicans and the archbishop. The power of the church may be judged from the petition of the Ayuntamiento of Mexico to Philip IV.
Styria was included in the conquests of Charlemagne, and was henceforth comprised in the German marks erected against the Avar and the Sla y.
Subsequently the Sla y s were cut off from relations with Taurida by the Mongols, and only made occasional raids, such as that of the Lithuanian prince Olgierd.
Suppose the ship turns about an axis through F in the water-line area, perpendicular to the plane of the paper; denoting by y the distance of an element dA if the water-line area from the axis of rotation, the change of displacement is EydA tan 8, so that there is no change of displacement if EydA = o, that is, if the axis passes through the C.G.
Suppose, for instance, that u is of degree not exceeding 3 in x, and of degree not exceeding 3 in y, that it contains terms in x3y3, x 3 y 2, x2y3, &c.; and suppose that the edges parallel to which x and y are measured are of lengths 2h and 3k, the briquette being divided into six elements by the plane x=xo+h and the planes y = yo+k, y = yo+2k, and that the 12 ordinates forming the edges of these six elements are given.
Suppose, for instance, that y=x 2; then to every rational value of x there corresponds a rational value of y, but the converse does not hold.
Taking co-ordinates in the plane of the screen with the centre of the wave as origin, let us represent M by, n, and P (where dS is situated) by x, y, z.
Tardieu suggested a compromise by which the port and district of Fiume with most of eastern Istria and a total population of over 200,000 (mainly Yugosla y s) would form a small buffer state between Italy and Yugoslavia, under the guarantee of the League of Nations.
That is to say, instead of using Boyle's law, which supposes that the pressure changes so exceedingly slowly that conduction keeps the temperature constant, we must use the adiabatic relation p = kpy, whence d p /d p = y k p Y 1= yp/p, and U = (yp/p) [Laplace's formula].
That this recognition had not already been accorded before the collapse of the Central Powers began was due to disunion among the Yugosla y s themselves.
The act also declares the validit y of leases made by a simoniac or simoniacallypresented person, if bona fide and for valuable consideration to a lessee ignorant of the simony.
The agricultural Sla y s of the Dnieper and the Oka were reduced to tribute, and before the end of the 7th century the Khazars had annexed the Crimea, had won complete command of the Sea of Azov, and, seizing upon the narrow neck which separates the Volga from the Don, had organized the portage which has continued since an important link in the traffic between Asia and Europe.
The aperture of the unretarded beam may thus be taken to be limited by x = - h, x = o, y= - 1, y= +1; and that of the beam retarded by R to be given by x =o, x =h, y = - 1, y = +l.
The arrival of the Varangians amidst the scattered Sla y s (862) had united them into a nation.
The attacks at " S " and " Y " were intended to be subsidiary; but great importance was attached to that at " X " owing to the vicinity of this point to " W."
The attacks of the Sla y s and Avars upon Thessalonica were heroically repulsed by the inhabitants.
The Augustan age was one of those great eras in the world like the era succeeding the Persian War in Greece, the Elizabethan age in England, and the beginning of the 19th Lk y.
The beaches which had been selected were, enumerating from right to left, " S " in Morto Bay, " V " and " W " on either side of Cape Helles at the south-western end, and " X " and " Y " on the outer shore; " V " and " W " were regarded as of primary importance, as those two beaches offered suitable landing places from the point of view of subsequent operations.
The best modern critical account in Spanish is Salvador Brau, Puerto Rico y su historia (Valencia, 1894).
The best-known streams and waterfalls are Llugwy, Lledr, with Rhaiadr y wenol (Swallow falls), Conwy and Machno falls.
The binomial theorem for positive integral index may then be written (x + y) n = -iyi +.
The British evacuated Newport the 25th ^f October 1779, and the French fleet was stationed here from Ju y 1780 to 1781.
The Buddhist religion, then beginning to decay in India, was working its way to a new growth in China, and contemporaneously the Nestorian Christians were establishing bishoprics at Herat, Mer y and Samarkand, whence they subsequently proceeded to Kashgar, and finally to China itself.
The canton sends 2 members (elected by a popular vote) to the Federal St y nderath, and 7 to the Federal Nationalrath.
The cartesian equation referred to the axis and directrix is y=c cosh (x/c) or y = Zc(e x / c +e x / c); other forms are s = c sinh (x/c) and y 2 =c 2 -1-s 2, being the arc measured from the vertex; the intrinsic equation is s = c tan The radius of curvature and normal are each equal to c sec t '.
The claim set up by the Italians to a university of their own within the territory inhabited by them led to various controversies with the Germans and Southern Sla y s.
The claim that Bering Sea was mare clausum was abandoned, but it was asserted that Russia had formerly exercised therein rights of exclusive jurisdiction which had passed to the United States, and they relied inter alia upon the ukase of 1821, b y which foreign vessels had been forbidden to approach within too Italian miles of the coasts of Russian America.
The clerical opposition was led by the very popular the Papac apac to and influential Minorites who were at that time the y.
The comedies of Segura on the customs of Lima society, entitled Un Paseo a Amancaes and La Saya y Manto, have no equal in the dramatic literature of Spanish America and few in that of modern Spain.
The components of force, X, Y, and N, acting on the liquid at 0, and reacting on the body, are then X=It.
The components of velocity of the moving origin are denoted by U, V, W, and the components of angular velocity of the frame of reference by P, Q, R; and then if u, v, w denote the components of fluid velocity in space, and u', v', w' the components relative to the axes at a point (x, y, z) fixed to the frame of reference, we have u =U +u' - yR +zQ, v =V +v -zP +xR, w=W +w -xQ +yP.
The connexion that seemed to be first established was between variations in the quantity of water transported from the tropical to the sub-polar Atlantic and variations in the intensit y of solar radiation.
The corresponding equations in areal co-ordinates are readily derived by substituting x/a, ylb, z/c for a, 1 3, y respectively in the trilinear equations.
The corresponding expression for two orthogonal cylinders will be With a 2 = co, these reduce to / y /, = Uy (I ra 2 p22 +-C24)..
The count y debts in 1908 aggregated $6,076,867.
The Cronica cientifica y literaria (1817-1820) was afterwards transformed into a daily newspaper.
The curve is symmetrical about the line x = y, and consists of two infinite branches asymptotic to the line x+y+a = o and a loop in the first quadrant.
The Czechs and Yugosla y s, finding the door thus shut in the face of their national aspirations, even in the modified Habsburg form, naturally stiffened in their opposition.
The development of the Basque mining industry is fully described in Las Minas de hierro de la provincia de Vizcaya, progressos realizados en esta region derde 1870 hast y 1899 (Bilbao, 1900).
The Diophantine analysis was a favourite subject with Pell; he lectured on it at Amsterdam; and he is now best remembered for the indeterminate equation ax 2 +1 = y 2, which is known by his name.
The earliest Semitic records give its form as y or more frequently k or The form is found in the earliest inscriptions of Crete, Attica, Naxos and some other of the Ionic islands.
The effect of the congress and of this propaganda was to hasten the disintegration in the Austro-Hungarian army, and the High Command (in a communiqué of July 27) admitted that wholesale defections of the Czechoslovaks and the Yugosla y s had.
The enlarged glandular structure of the walls of the rectum is frequent in the Pectinibranchia, as is also though not universal the gland marked y, next to the rectum.
The entry of Italy into the war was a serious set-back to the Yugoslav cause, for under the Treaty of London (April 27 1915) she was to obtain, in the event of an Entente victory, wide districts in Gorizia, Carniola, Istria and Dalmatia, peopled by not less than 700,000 Yugosla y s.
The equations of motion are now, the co-ordinates x and y being measured in feet, 2 (26) - -rr- - C, dt2 dty - g' * These numbers are taken from a part omitted here of the abridged ballistic table.
The equites remained' at home, or only went out as members of the general's staff, their places being taken by the equites equo p y ivato, the cavalry of the allies and the most skilled horsemen of the subject populations.
The Essai sur les fondements de la psychologie represents the second or completest stage of his philosophy, the fragments of the Nouveaux essa y s d'anthropologie the third.
The existence of internal strains in glass can be readil y recognized by examination in polarized light, any signs of double refraction indicating the existence of strain.
The exponential function possesses the properties (i.) exp (x+y) =exp x X exp y.
The extension to the case where the liquid is bounded externally by a fixed ellipsoid X= X is made in a similar manner, by putting 4 = x y (x+ 11), (io) and the ratio of the effective angular inertia in (9) is changed to 2 (B0-A0) (B 1A1) +.a12 - a 2 +b 2 a b1c1 a -b -b12 abc (Bo-Ao)+(B1-A1) a 2 + b 2 a1 2 + b1 2 alblcl Make c= CO for confocal elliptic cylinders; and then _, 2 A? ?
The extraing to foot of rotifers; at, median blastoporic opening of antenna, united by a nerve to br, brain the cloaca leads us to a (letter omitted in B); bl, bladder, re ver y different view, which ceiving ramified kidney in B, C, D; finds negative support f, foot, and f.g, its cement-gland;.
The failure of legitimate male issue of the later Carolingians gave Arnulf a more important position than otherwise he would have occupied; but he did homage to the emperor Charles the Fat in 882, and spent the next few years in constant warfare with the Sla y s and the Northmen.
The fall of Missolonghi, followed as this was by the submission of many of the more notable chiefs, left Reshid free to turn his attention to East Hellas, where Gouras had been ruling Karaa s a practically independent chief and in the s irit P Y P P?
The figures of the Seven have here entirely disappeared, the remembrance of them being merely preserved in the name of the Agpaovp y y6s (050,u s).
The first explorer to enter the sacred Hejaz with a definite scientific object was the Spaniard, Badia y aeblich, who, under the name of Ali Bey and claiming to be the last representative of the Abbasid Caliphs, arrived at Jidda in 1807, and performed the pilgrimage to Mecca.
The first of his original pieces performed was Der y politiske Kandestober (The Pewterer turned Politician); he wrote other comedies with miraculous rapidity, and before 1722 was closed, there had been performed in succession, and with immense success, Den Vaegelsindede (The Waverer), Jean de France, Jeppe paa Bjerget, and Gert the Westphalian.
The first of these bands with whom Florence came into contact was the Great Company, commanded by the count of Lando, which twice entered Tuscany Y but was expelled both times by the Florentine troops (1358-1359).
The first question has not yet been solved, although it has been speculated upon y ?
The first Spanish drama written by Jews was entitled "Esther," by Solomon Usque and Lazaro Gratiano, published in 1567; and there is another entitled "Comedia famosa de Aman y Mordechay," produced anonymously in Leiden in 1699.
The first, which is the best known but is of limited application, consists in replacing each successive portion of the figure by another figure whose ordinate is an algebraical function of x or of x and y, and expressing the area or volume of this latter figure (exactly or approximately) in terms of the given ordinates.
The following fundamental properties of log x are readily deducible from the definition (i.) log xy= log x-Flog y.
The Germans formed 44.69% of the population, 33.21% were Poles and 22.05% Czechs and Sla y s.
The gg Y divergent interests of the various colonies threatened indeed a tariff and railway war when the Customs Convention (provisionally renewed in March 1906) should expire in 1908.
The government met the crisis by renewed energy in harbour works, railway construc y gy y tions and the development of the natural resources of the country.
The grateful perfumed powder abir or rand y is composed either of rice, flour, mango bark or deodar wood, camphor and aniseed, or of sandalwood or wood aloes, and zerumbet, zedoary, rose flowers, camphor and civet.
The great work of Pappus, in eight books and entitled 6vvayw'y or Collection, we possess only in an incomplete form, the first book being lost, and the rest having suffered considerably.
The growing self-confidence of the Austrian Sla y s was shown by the bluntness of their refusal to cooperate with the new Premier, Doctor von Seidler, whose offer of portfolios to their leaders drew from Count Tisza a strong protest in the Hungarian Parliament.
The growth and population of London previous to the Igth century is considered under Histor y, ad fin.
The inhabitants are a brave and warlike race of mountaineers, and aided by the natural strength of their countr y they have hitherto preserved their independence.
The instrument was set up in November 1725, and observations on y Draconis were made on the 3rd, 5th, 11th, and 12th of December.
The instrument, described by Oviedo (Historia de las Indias Occidentales, Salamanca, 1535), consisted of a small hollow wooden tube, shaped like a Y, the two points of which being inserted in the nose of the smoker, the other end was held into the smoke of burning tobacco, and thus the fumes were inhaled.
The integration of the several terms may then be effected by the formula e y dy =r(4+2)=(4 - i)(4-2)...
The integration with regard to y may similarly (in the particular example) be replaced by the operation ak(I+3E'-+3E'2+E'3), where E' denotes the change of y into y + k.
The intercept on the axis of y is 2a/7r; therefore, if it were possible to accurately construct the curve, the quadrature of the circle would be effected.
The Isla del Carmen, which partly shuts in the Laguna de Terminos (Campeche), is one of Santo y Gulf ?
The island is low and fertile, and extensively planted with coco-nut palms. It is continued southwards by an extensive reef, on which stands the chief village, Chobe, the residence of a few Arabs and Ban y an traders.
The islands (by convention of 1899) are divided unequally between Great Britain and German y, the boundary running through Bougainville Strait, so that that island and Buka belong to Germany (being officially administered from Kaiser Wilhelm's Land), but the rest (South Solomons) are British.
The isothermal elasticity - v(dp/dv) is equal to the pressure p. The adiabatic elasticity is equal to y p, where -y is the ratio S/s of the specific heats.
The Italians demanded Trieste; but the Government was afraid to let this Adriatic port become the centre of an irredenta; moreover the Southern Sla y s of the city wished it kept free from an Italian educational establishment.
The judicial power is vested in a supreme federal court, called the Corte Federal y de Casacion, and such subordinate tribunals as may be created by law.
The Kurds, the constant oppressors of that people, had received official recognition and almost complete immunity from the control o f the civil law by being formed into a Y g eo Y manry frontier-guard known as the Hamidian cavalry.
The left inner gill-plate is also snipped to show the subjacent orifices of the left renal organ x, and of the genital gland (testis or ovary) y.
The limits of integration for x may thus be taken to be -2a and -Fla, and for y to be -2b, +2b.
The loose aggregation of agricultural households gives place t o the organized community with new needs and new g y ideals, and at the same time in religious thought the old vague notion of the numen is almost universally superseded by the more definite conception of the dens - not even now quite anthropomorphic, but with a much more clearly realized personality.
The Malays to-day are Sunni Mahommedans of the school of Shafi`i, and the y habitually use the terms Orang Malayu, i.e.
The mark of Meissen was originally a district centring round the castle of Meissen or Misnia on the Middle Elbe, which was built about 920 by the German king Henry I., the Fowler, as a defence against the Sla y s.
The members were to be gentilshor y nznes de nom et d'armes et sans reproche, not knights of any other order, and vowed to join their sovereign in the defence of the Catholic faith, the protection of Holy Church, and the upholding of virtue and good morals.
The mesodermic portion becomes charged with a yolk-like material (y), and, on the germination of the statoblast, gives rise to the outer layer (mes) of the bud.
The Mexican Geographical Society (Sociedad mexicana de geografia y estadistica), founded in 1833, has rendered invaluable services in the work of exploration and publication; there are also the Geological Society, the Association of Engineers and Architects, and the Society of Natural History.
The monotheistic influence of Aristotle and his Arabian commentators shows itself in Albert and Aquinas, at the outset, in the definitive fashion in which the " mysteries " y sof the Trinity and the Incarnation are henceforth detached from the sphere of rational or philosophical theology.
The morainic belts and other obstructions in the drift plains hem in the waters in the intervening basins and create what are called " glacial lakes," var y ing in diameter from a few yards to several miles.
The most important of the former is the gumm y of tertiary syphilis; this may steadily and completely disappear under the influence of iodide of potassium.
The most prolific author of colonial times was Dr Pedro de Peralta y Barnuevo, who wrote more than sixty works, including an epic poem entitled Lima fundada.
The name first appears in the list of primitive Zoroastrian settlements contained in the Vendidad Sade, where, however, like most of the names in the same list, - such as Sughudu (Sogdiana), Mouru (Mer y or Margus), Haraquiti (Arachotus or Arghand-ab), Haetumant (Etymander or Helmund), and Ragha (or Argha-stan),--it seems to apply to the river or river-basin, which was the special centre of population.
The name of Czech, however, is usually reserved for the Bohemians, while the Sla y s of Moravia and West Hungary are called Moravians and Slovacs.
The name Visby is derived from the old Norse y e (sanctuary) and by (town).
The of two brothers Andrada were called to the ministry razil' y 1822.
The only basis of division practicable is Y P language, which must be kept separate in the mind from the others.
The Order of the Red Eagle, the second of the Prussian orders, was founded originally as the Order of Sincerity (L'Ordre de la Sincerit y) in 1705 by George William, hereditary prince of Brandenburg-Bayreuth.
The other, who is commemorated on the 9th of January, was specially venerated at Cluain Ma y scua, Co.
The people of Saxony are chiefly of pure Teutonic stock; a proportion are Germanized Sla y s, and to the south of Bautzen there is a large settlement of above 50,000 Wends, who retain their peculiar customs and language.
The period between 1883 and 1903 is the most humiliating in the modern history of the southern Sla y s.
The phrase used is AELTOvp'yEl y T 7 V XeLrovpyLav, " to liturgize the liturgy."
The play of the beam is limited by a stop S and a screw R, the latter being so adjusted that when the end Y of the beam is held down the two air-gaps are of equal width.
The Porte, unable to resist, was obliged to consent to the convention of Ainali Ka y ak (March 10, 1779) whereby the Russian partisan, Shahin Girai, was recognized as khan of the Crimea, the admission of Russian vessels to navigate Turkish waters was reaffirmed and Russia's right of intervention in the affairs of the Danubian principalities was formally recognized.
The position assigned to their district appears to be about the head waters of the Dniester and Bug (Bugh) and the central course of the Dnieper just the region which, on general grounds, place-names, recorded migra tions and modern distribution, appears to be the original location of the Sla y s (q.v.).
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.
The principle gives an instantaneous solution of the question of the ultimate optical efficienc y in the method of " mirror-reading," as commonly practised in various physical observations.
The product of two complex numbers of the second order - namely, l e l +x 2 e 2 and y i e l +y 2 e 2, is in this case defined to mean the complex (x i y i - x 2 y 2)e i +(x i y 2 +x 2 y 1)e 2.
The public revenues are derived from customs taxes and charges on imports and exports, transit taxes, cattle taxes, profits on coinage, receipts from state monopolies, receipts from various public services such as the post office, telegraph, Caracas waterworks, &c., and sundr y taxes, fines and other sources.
The relation they suspected to be of the form -yS = KT, where K is a constant analogous to R, and S the surface containing one gramme-molecule, y and T being the surface tension and temperature respectively.
The report of Revised this committee, presented in May, adopted, to P Y?
The road from Bettws y coed, past the Swallow Falls to Capel Curig, and thence to Llanberis and Carnarvon, is very interesting, grand and lonely.
The Romans knew the constellation as Arctos or Ursa; the Arabians termed the quadrilateral, formed by the four stars a, 0, y, b, Na'sh, a bier, whence it is sometimes known as Feretrum majus.
The same interest led to the division of the services into two general parts, which became known ultimately as the missa, eatechumenorum and the miss y fidelium, - that is, the more public service of prayer, praise and preaching open to all, including the catechumens or candidates for Church membership, and the private service for the administration of the eucharist, open only to full members of the Church in good and regular standing.
The Serbian and Bulgarian anthems were sung on the streets, collections were made in every village for the Balkan Red Cross funds, and when Austria-Hungary mobilized, protests were heard on every side against the bare possibility of war with Serbia, which to the Yugosla y s would be a veritable civil war.
The Serbian court, instead of being a centre of perpetual scandal and misrule, resumed its true position as a focus of national aspirations, and this change was not lost upon the Yugosla y s of " the other side."
The signory appointed Piero Capponi, a man of great ability and patriotism, and experienced in diplomacy, the gonfaloniere Francesco Valori, the Dominican Giorgio Vespucci, and the jurisconsult and diplomatist Domenico Bonsi, rule, 's every five years, appointed all the magistrates and Y Y PP g syndics to conduct the negotiations with the French king.
The sinking of colliery shafts, however, differs considerably from that of other mines, owing to their generally large size, and the difficulties nkingof g g y g ?
The Sla y s were driven back, the domestic policy of Henry the Fowler was continued, the Saxon court became a centre of learning visited by Italian scholars, and in 968 an archbishopric was founded at Magdeburg for the lands east of the Elbe.
The Sla y s, on the other hand, demanded the " unconditional " summoning of Parliament.
The small eyes are some- T y p h l o p s bra- times covered by transparent shields.
The sole justification for such a claim lay in the terms of the Treaty of London, which the Yugosla y s could not adopt as a basis without stultifying their whole position against Italy.
The Spanish versions of Carolingian legends are studied by Mila y Fontanals in De la poesia heroico-popular castellana (Barcelona, 1874).
The substitution for x, y in terms of X, Y is the most general linear substitution in virtue of the four degrees of arbitrariness introduced, viz.
The town, rebuilt after this disaster, was again more than once devastated by invading Danes and Sla y s.
The troops detailed for " Y " beach had also got into serious difficulties, and as it turned out they had to be withdrawn next morning.
The true importance of Hebrew history had always cter p y y ofcharafhe centred in the fact that this petty nation was the people work.
The United State s h a d in 1 forbidden any a 794 Y m par ticipation by American subjects in the slave trade to foreign countries; they now prohibited the importation of slaves from Africa into their own dominions.
The values of x and y are different, unless V (qq o) = o.
The Vivarais mountains and the northern Cevennes approach the right banks of the Rhone and Saone closely, and on that side send their waters by way of short torrents to those rivers; on the west side the streams a y e tributaries of the Loire, which rises at the foot of Mont Mezenc. A short distance to the south on the same side are the sources of the Allier and Lot.
The volume of the briquette for which u is a function of x and y is found by the operation of double integration, consisting of two successive operations, one being with regard to x, and the other with regard to y; and these operations may (in the cases with which we are concerned) be performed in either order.
The whole of the lakes to the north of the former Y, including the famous Purmer and Beemster lakes, and the Wieringerwaard and Zype sea-polders, were drained in the beginning of the 17th century; but the Waard-en-Groet, the Anna Paulowna and the Koegras sea-polders to the north of these, were only added to the mainland in the first half of the 19th century.
The whole work, under the title Primera y segunda parte de la Historia del Piru, was published at Seville in 1571 and was dedicated to King Philip II.
The wonderful plumage of the " quetzal " (Trogon resplendens) was, it is said, reserved b y the Aztec rulers for their own exclusive use.
The words "y coed" are added to distinguish this Bettws from several others in Wales, especially that near Llandeilo Fawr, Carmarthenshire, not far from the Bettws hills.
The worst enemy of the P Y Greeks was their own incurable spirit of faction; in the very crisis of their fate, during the siege of Missolonghi, rival presidents and rival assemblies struggled for supremacy, and a third civil war had only been prevented by the arrival of Cochrane and Church.
The y are really excretory glands, and communicate with the exterior by a very minute aperture on the posterior face of the coxa of the fifth limb on each side.
The y ear is divided into two seasons, summer, which begins in October and ends in March, and winter, which fills up the rest of the year.
The Y, which was formerly an inlet of the Zuider Zee, was drained, and the North Sea ship canal was formed in its stead (1865-1876), and carried through the dunes to Ymuiden.
The Yugosla y s were represented by Trumbic and his Committee and by 12 deputies of the Serbian Skupstina, the Czechoslovaks by Benes and Stefanik, the Poles by Zamorski, Skirmunt and Seyda, the Rumanians by Draghicescu, Lupu and Mironescu.
Then 4, =o over the cylinder r = a, which may be considered a fixed post; and a stream line past it along which 4, = Uc, a constant, is the curve (r - ¢2) sin 0=c, (x2 + y2) (y - c) - a 2 y = o, (3) a cubic curve (C3).
Then putting (dy/dx) 2 = (u/U) 2, we have y +I I fU p = 2.
Then the deflection at the centre is the value of y for x = a, and is _ 5 wa4 S - 14 EI' The radius of curvature of the beam at D is given by the relation R=EI/M.
Then the deviation y= DE of the neutral axis of the bent beam at any point D from the axis OX is given by the relation d 2 y Ml dx 2 = EI' where M is the bending moment and I the amount of inertia of the beam at D, and E is the coefficient of elasticity.
Then the displacement at 0 will take place in a direction perpendicular to 0 1 0, and lying in the plane Z0 1 0; and, if 1' be the displacement at 0, reckoned positive in the direction nearest to that in which the incident vibrations are reckoned positive, = 4?y (1 +cos 0) sin 4 f' (bt - r).
There are many thousands of lines in the mercury spectrum, so that from this evidence it would appear that for mercury vapour n ought to be very great, and y almost equal to unity.
There are now n-, y varieties of the cultivated oat included under two principr races - common FIG.
There are several mechanics' schools (Antes y Oficios) in the larger cities, and a large number of private schools.
There is also a mechanics' training school (antes y oficios) for men and a similar school for women, schools for the blind and for deaf-mutes, reform schools, and garrison schools for soldiers.
There is also an "hospitium" for strange monks, abutting on the north wall of the church (Y).
There is no dividing line between first-contact ethnology and -s y g gY gy Th J o pre-contact archaeology.
There was some talk of inducing d J Y Th f i $ g Glad stone to join the Tory government, and on the 29th of November Lord Malmesbury dubiously remarked, " I cannot make out Gladstone, who seems to me a dark horse."
Therefore, As The Intercalary Days Are Distributed With Considerable Regularity In Both Calendars, The Date Of Commencement Of The Year Y Expressed In Gregorian Years Is 0.97 022 4 (Y 1) 622.5476, Or 0.970224 Y 621.5774.
Therefore, if (n-i) 1P+11 is divisible by (p+I)!, 'n 1P+11 is divisible b y (p +i) !.
These proceedings aroused suspicion and discontent, which were increased when the emperor assembled an army, ostensibly to attack the Sla y s.
They determined to reinvestigate the motion of y Draconis; the telescope, constructed by George Graham (1675-1751), a celebrated instrument-maker, was affixed to a vertical chimneystack, in such manner as to permit a small oscillation of the eyepiece, the amount of which, i.e.
They held frequent Art of y q war.
They showed a zeal for evangelization which resulted in the establishment of their influence throughout Asia, as is seen from the bishoprics founded not only in Syria, Armenia, Arabia and Persia, but at Halavan in Media, Mer y in Khorasan, Herat, Tashkent, Samarkand, Baluk, Kashgar, and even at Kambaluk (Pekin) and Singan fu Hsi`en fu in China, and Kaljana and Kranganore in India.
This allegiance therefore frequently changed, but Lo ndon retained its identity and individuality all Y Y through.
This baptism may not be conferred until the candidate has reached an age of discrimination and capacity to remember obligations, p y cere seven years being fixed as the earliest age, but it is generally deferred until manhood.
This forcible intrusion of a nonAryan race altered the whole history of Europe; but its peculiar significance lay in the fact that it permanently divided the northern from the southern and the eastern from the western Sla y s.
This g Y P Y PP Y infamous law, however, aroused so much opposition that some of the very men who had proposed it assembled in secret to discuss its abolition, and a quarrel between the Albizzi and the Ricci having weakened the parte, a balia of 56 was agreed upon.
This in turn strengthened the hands of the extreme section among the Yugosla y s, who now advanced the full ethnographic claim, involving Trieste and Gorizia as well as Dalmatia and Istria, and at the same time increased their demands against Bulgaria, Austria and Albania.
This map was repeatedly revised, Antgria- g P P Y ?
This programme met with a cool reception; the Poles by now were expecting a new organization from the Peace Congress; the Southern Sla y s desired union with those of their race in Hungary also; the Czechs opposed the division of the administrative commission into two parts; they did not want autonomy for their nation, but incorporation of the German Bohemians in their State, and refused all negotiations.
This prosperity finally concentrated itself upon the Y (that is, upon Amsterdam) and the series of industrial villages situated on its offshoot the Zaam, of which Zaandam and Wormerveer are the most important.
This star was seen to possess an apparent motion similar to that which would be a consequence of the nutation of the earth's axis; but since its declination varied only one half as much as in the case of y Draconis, it was obvious that nutation did not supply the requisite solution.
This vicious system, grafted as it was upon an inefficient administration, and added to the weight of a continually depreciated currenc y, debased both by ill-advised fiscal measures and by public cupidity, formed one of the principal causes of the financial embarrassments which assailed the treasury with ever increasing force in the latter part of the 16th and during the 17th and 18th centuries.
This was known as the Moret Law, having been carried through the house of representatives by Senor Moret y Prendergast, then minister for the colonies.
This work, like his Historia politica y literaria de los trovadores (1878-1879), is inaccurate, partial and unscientific; but both books are attractively written and have done great service to the cause which Balaguer once upheld.
Three Indian villages bore the name Chillicothe, each being in turn the chief town of the Chillicothe, one of the four tribal divisions of the Shawnee, in their retreat before the whites; the village near what is now Oldtown in Greene county was destro y ed by George Rogers Clark in 1780; that in Miami county, where Piqua is now, was destroyed by Clark in 1782; and the Indian village near the present Chillicothe was destroyed in 1787 by Kentuckians.
Three towns are known to d ave been destroyedHerculaneum at the western base of the y olcano, Pompeii on the south-east side, and Stabiae, still farther sl outh, on the site of the modern Castellamare.
Throughout the middle ages it was the scene of vigorous struggles between Sla y s, Byzantines, Franks, Turks and Venetians, the chief memorials of which are the ruined strongholds of Mistra near Sparta, Gerald (anc. Geronthrae) and Monemvasia, "the Gibraltar of Greece," on the east coast, and Passava near Gythium.
Thus if T is expressed as a quadratic function of U, V, W, P, Q, R, the components of momentum corresponding are dT dT dT (I) = dU + x2=dV, x3 =dW, dT dT dT Yi dp' dQ' y3=dR; but when it is expressed as a quadratic function of xi, 'x2, x3, yi, Y2, Y3, U = d, V= dx, ' w= ax dT Q_ dT dT dy 1 dy2 dy The second system of expression was chosen by Clebsch and adopted by Halphen in his Fonctions elliptiques; and thence the dynamical equations follow X = dt x2 dy +x3 d Y = ..., Z ..., (3) = dt1 -y2?y - '2dx3+x3 ' M =..
Thus if the ellipsoid is one of revolution, and ds is an element of arc which sweeps out the element of surface dS, we have dS = 27ryds = 27rydx/ (Ts) = 27rydx/ (b y) = 2 p2 dx.
Thus if the plane is normal to Or, the resultant thrust R =f fpdxdy, (r) and the co-ordinates x, y of the C.P. are given by xR = f f xpdxdy, yR = f f ypdxdy.
Thus the complete metaphysical idealism of Fichte's Wissenschaftslehre formed out of the incomplete metaphysical idealism of Kant's Kritik, is the theor y on its epistemological side that the Ego posits the non-Ego as a thing in itself, and yet as only a thing existing for it as its own noumenon, and on its metaphysical side that in consequence all reality is the Ego and its own determinations, which are objective, or valid for all, as determinations, not of you or of me, but of the consciousness common to all of us, the pure or absolute Ego.
Thus the path of the ray when the aether is at rest is the curve which makes fds/V least; but when it is in motion it is the curve which makes fds/(V+lug-m y -I-nw) least, where (l,m,n) is the direction vector of Ss.
Thus there appear to be discontinuities in the values of y.
Thus they make Mer y a sort of watch tower over the entrance into Afghanistan on the north-west and at the same time create a stepping-stone or etape between north-east Persia and the states of Bokhara and Samarkand.
Thus what have been called seminvariants are not all of them invariants for the general substitution, but are invariants for the particular substitution xl = X11 + J-s12, X 2 = 112 Again, in plane geometry, the most general equations of substitution which change from old axes inclined at w to new axes inclined at w' =13 - a, and inclined at angles a, l3 to the old axis of x, without change of origin, are x-sin(wa)X+sin(w -/3)Y sin w sin ' _sin ax y sin w a transformation of modulus sin w' sin w' The theory of invariants originated in the discussion, by George Boole, of this system so important in geometry.
Thus, to take an example, he will not print a critical text of Plautus with two letters (Y and Z) which were no part of the Latin alphabet in the age of that comedian; still less will he introduce into Latin texts distinctions, such as i,j and u, v, which were not used till long after the middle ages.
Thus, to within the degree of approximation to which our theory is accurate, the value of y for every gas ought to be one of this series.
Thus, when it is said that the first y ear of the Incarnation corresponds to the first of the 195th Olympiad, we are to understand that it is only with respect to the last six months of that year that the correspondence takes place.
To Anselm speciall y belongs the motto Credo ut intelligam, or, as it is obscurity of the schools..
To calculate the roots of (5) we may assume u=(m+1)7r-y= U-y, (3), where y is a positive quantity which is small when u is large.
To exhibit any covariant as a function of uo, ul, a n = (aiy1+a2y2) n and transform it by the substitution fi y 1+f2 y where f l = aay 1, f2 = a2ay -1, x y - x y = X x thence f .
To extend these methods to a briquette, where the ordinate u is an algebraical function of x and y, the axes of x and of y being parallel to the sides of the base, we consider that the area of a section at distance x from the plane x = o is expressed in terms of the ordinates in which it intersects the series of planes, parallel to y=o, through the given ordinates of the briquette (§ 44); and that the area of the section is then represented by the ordinate of a trapezette.
To Solve The Equations 28 X Io =19 Y 2, Or Y =X 9198, Let M= 9 19 8, We Have Thenx=2 M 172 8 9 Let M9 8 =M'; Then M= 9 M' 8; Hence X=18 M' 16 M'=19 M' 16 (I).
To the influence of the Arian heres y is also due the Catholic addition - "as it was in the beginning, is now, and ever shall be," the use of which was, according to some authorities, expressly enjoined by the council of Nicaea.
To these things used to y listen at the time, through the mercy of God vouchsafed to me, noting them down, not on paper but in my heart, and constantly by the grace of God brood over my accurate recollections."These are priceless words, for they establish a chain of tradition (John-Polycarp-Irenaeus) which is without a parallel in early church history.
Towards the end of the 6th century the last-named began to give way to the Sla y s, who ultimately made themselves masters of the entire district.
Trumbic on his part could not enter a purely Serbian Cabinet without prejudicing that freedom of choice of his compatriots in the Dual Monarchy, upon which the moral case of the Yugosla y s depended.
Turkish history after the Treaty of Sevres was signed belongs to Nationalist Turkey, the State established by Turkish Nationalists, with its capital at Angora, to resist the execution of the Treat y.
Two relations R and R' are said to be ordinally similar, if a one-one relation holds between the members of the two fields of R and R', such that if x and y are any two members of the field of R, such that x has the relation R to y, and if x' and y are the correlates in the field of R' of x and y, then in all such cases x has the relation R' to y', and conversely, interchanging the dashes on the letters, i.e.
Two spheres intersect in a plane, and the equation to a system of spheres which intersect in a common circle is x 2 + y 2 + z 2 +2Ax -fD = o, in which A varies from sphere to sphere, and D is constant for all the spheres, the plane yz being the plane of intersection, and the axis of x the line of centres.
Two-thirds of the inhabitants are Germans; the remainder, chiefly found in the valleys of the Drave and Save, are Sla y s (Slovenes).
Twothirds of the population were Sla y s and the remainder Italians, while nearly the whole of the inhabitants (99.6%) were Roman Catholics, under the ecclesiastical jurisdiction of three bishops.
Under the Tahirids of Khorasan, the Saffarids of Seistan and the Samanids of Bokhara, it flourished for some centuries in peace and progressive prosperity; but during the succeeding rule of the Ghaznevid kings its metropolitan character was for a time obscured by the celebrity of the neighbouring capital of Ghazni, until finally in the reign of Sultan Sanjar of Mer y about 1157 the city was entirely destroyed by an irruption of the Ghuzz, the predecessors, in race as well as in habitat, of the modern Turkomans.
Vergara y Velasco's Atlas de geografia colombiana (1906-1908); Ecuador is fairly well represented by Th.
Vienna had for long been the hope of the Southern Sla y s, and many of them had dreamed of a union under the Crown of Austria (" trialism ").
Vivero Bay and the Ria del Barquero y Vares are of a similar character; while the harbour of Ferrol ranks among the best in Europe, and is the chief naval station on the northern coast of Spain.
Vivipara, ovipara, a y es, pisces, serpentes et Scorpio - and contains descriptions and illustrations of a large number of animal forms with reference to the lands inhabited by them.
Water and carbonic acid are synthesized, under the action of sunlight, to form sugar, starch or some other carboh y drate and this is then combined with simple nitrogenous salts to form proteid.
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.
We derived this substance from ethane by introducing a meth y l group; hence it may be termed " methylethane."
We may equally express the result as 4,(al)Y'(a2)...0 (am) =0, (a 8 -fa t) =0.
We may now, as is somewhat the more natural course in the terrestrial application, take axes (x,y,z) which move with the matter; but the current must be invariably defined by the flux across surfaces fixed in space, so that we may say that relation (i) refers to a circuit fixed in space, while (ii) refers to one moving with the matter.
We may represent the displacement due to one of the trains by y l =a sin 2 i (24) where x is measured as in equation (16) from an ascending node as A in fig.
We may therefore conveniently take as our unit, in place of x, a number y such that x=6y.
We pass over their first conflicts and the unsuccessful agreements that were attempted, to mention the decisive battle near Mer y (1040), in which Masud was totally defeated and driven back to Ghazni (Ghazna).
We shall make the natural supposition that motion of the aether, say with velocity (u,v,w) at the point (x,y,z), is simply superposed on the velocity V of the optical undulations through that medium, the latter not being intrinsically altered.
We take a fixed line OX, usually drawn horizontally; for each value of X we measure a length or abscissa ON equal to x.L, and draw an ordinate NP at right angles to OX and equal to the corresponding value of y .
We will now apply the integrals (2) to the case of a rectangular aperture of width a parallel to x and of width b parallel to y.
When he had ruthlessly quelled the resistance offered to his accession by his brothers, who both fell in the struggle for the throne, Selim undertook his campaign in Persia, having first extirpated the Shia heresy, prevalent 5 e 12 m, g P Y, P 1512152.0.
When heated with sodium the y frequently polymerize.
When the plane zx is not a plane of symmetry, we have to consider the terms in xy, 2 y, and y 3 .
When the solutions may be taken as effectively dilute, so that the gas laws apply to the osmotic pressure, this relation reduces to E _ nrRT to c1 ey gE c2 where n is the number of ions given by one molecule of the salt, r the transport ratio of the anion, R the gas constant, T the absolute temperature, y the total valency of the anions obtained from one molecule, and c i and c 2 the concentrations of the two solutions.
When, as in the application to rectangular or circular apertures, the form is symmetrical with respect to the axes both of x and y, S = o, and C reduces to C = ff cos px cos gy dx dy,.
William of Champeaux (1070-1121), who is reputed the founder of a definitely formulated Realism, much Y as Roscellinus is regarded as the founder of Nominalism, was instructed by Roscellinus himself in dialectic. Unfortunately none of William's philosophical works have survived, and we depend upon the statements of his opponent Abelard, in the Historia calamitatum mearum, and in certain manuscripts discovered by Cousin.
Williams of Pant y Celyn had just published a little volume of hymns, the singing of which inflamed the people.
Within a month of the meeting of the first parliament of the Dominion a question of vast importance to the future of the 's country was brought forward by the Hon.W.McDougall in a series of resolutions which were adopted, and on y which was based an address to the queen praying that teases.
Within the city limits the Muskingum is crossed by seven bridges (including a notable concrete Y bridge) and the Licking by two.
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.
Y ...a n v, the summation being for all permutations of the n numbers, is called the determinant of the n 2 quantities.
Y g g The air passes through a reducing valve from the main to an auxiliary tank, in which the pressure is, say, 125 lb, and thence to the driving cylinders.
Y g P relations with most of the powers, but also of having entered into a convention with the great powers of the North, which accorded him, in conjunction with the three emperors, a leading position as champion of the conservative interests of humanity.
Y g themselves of its advantages.
Y is represented by the length of the ordinate NP, so that the representation is cardinal; but this ordinate really corresponds to the point N, so that the representation of X is ordinal.
Y of finding and applying a criterion of the presence or absence of consciousness, it is none the less desirable, in the interests of psychology, to state that truly instinctive acts (as defined) are accompanied by consciousness.
Y P Here he began to denounce the abuses in the Church, as well as the traffic in mercenaries which had so long been a blot upon his country's honour.
Y p important towns in 1594, and not allowed to return until 1609, when they found themselves confronted once more by their rival, the university of Paris.
Y was there crowned legitimate king.
Y Y ing Himself with the sinner in perfect sympathy, and feeling for him an " equivalent repentance " for his sin.
Y Y' is a so.- iron yoke, which rocks upon knife-edges K and constitutes the beam of the balance.
Y, 9 P ?, PP ment of a Coalition cabinet 2 under Dr Sandor Wekerle was announced, the world was taken completely by surprise.
Young's modulus may be obtained for the material of a rod by clamping it in the middle and obtaining the frequency of the fundamental when Y = 412n2p.