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y

Si usted encuentra que usted necesita reordenar, usted puede funcionar en un problema del tiempo por lo que va la entrega, y usted será probablemente extremo para arriba que paga más las tarjetas y las cargas del envío y de dirección.

53The landing paused at the Y of two long hallways.

32Preconception gender selection methods you can try with your partner at home are based on creating an environment that favors either the X or the Y sperm and encourages that particular type of sperm to fertilize the egg.

20y ?

10Although every pregnant woman knows another who will swear up and down that their labor was brought on by doing x, y, and z, it really comes down to whether the baby is ready to come out.

10They have continued to be worn, however, by the bishops of the Scandinavian Lutheran Y P Churches.

11He instantly became the obsession of young girls due to his fresh face and blond hair.Schroder, who has dropped the "y" in his first name and now goes by "Rick," is still acting.

11She only goes tavern-traipsing on days that end in Y.

00HERNICI, an ancient people of Italy, whose territory was in Latium between the Fucine Lake and the Trerus, bounded b'y the Volscian on the S., and by the Aequian and the Marsian on the N.

00D' D D y?

00Y.

00Militdrgrenze, Sla y.

00Similarly, place the star's image in the middle of the webs moved by Y.

00The principal towns are Scutari (Albanian Shkoder, with the definite article Shkodr-a), the capital of the vilayet of that name, pop. 32,000; Prizren, 30,000; Iannina (often incorrectly written Ioannina), capital of the southern vilayet, 22,000; Jakova, 12,000; Dibra, 15,000; Prishtina, 11,000; Ipek (Sla y.

00P q P Y?

00Thus, if x= horned and y = sheep, then the successive acts of election represented by x and y, if performed on unity, give the whole of the class horned sheep. Boole showed that elective symbols of this kind obey the same primary laws of combination as algebraical symbols, whence it followed that they could be added, subtracted, multiplied and even divided, almost exactly in the same manner as numbers.

00Thus, 1 - x would represent the operation of selecting all things in the world except horned things, that is, all not horned things, and (1 - x) (1 - y) would give us all things neither horned nor sheep. By the use of such symbols propositions could be reduced to the form of equations, and the syllogistic conclusion from two premises was obtained by eliminating the middle term according to ordinary algebraic rules.

00The the cities charters were of the nature of a treaty between the in the citynd its feudal lord and the differed much in Nether Y, Y lands.

00The foundation of the Burgundian r ule in the Netherlands was laid by the succession of Y Philip the Bold to the counties of Flanders and Artois in 1384 in right of his wife Margaret de Male.

00Carnero, Historia de las guerras civiles que ha avido en los estados de Flandres des del anno 1559 hasta el de 1609, y las Archduke already in course of formation, and not even the Matthias.

00YTTRIUM [[[symbol]], Y; atomic weight, 89 o (0= 16)], a metallic chemical element.

00Cromwell hastened to the House, and at the last moment, on the bill being put to the vote, whispering to Harrison, "This is the time; Y must do it," he rose, and after alluding to the former good services of the parliament, proceeded to overwhelm the members with reproaches.

00The Terre d'Auvergne was first an appanage of Count Alphonse of Poitiers (1241-1271), and in 1360 was erected into a duchy in the peerage of France (duch y -pairie) by King John II.

00Sclerostomum armatum, y, X about 31, opened to show the phagocytic organs.

00Il y a), an island off the W.

00Vicent y Portillo (Madrid, 1889, &c.); Fechos y fechas de Cartagena, by I.

00The four telephones on a circuit are so wired that the relays 9-- P ..,, connect two of the bells between each wire and fl-- 0 7-..9 *"y earth, and further that one of each pair of bells responds to positive and the other to negative o-- pulsations.

00There he awaited the arrival of Macdonald with the an y of Naples.

00Cavour, on the other hand, while anxious to deal irously with the Garibaldians, recognized the impossibility of such urse, which would not only have offended the conservative spirit :he Piedmontese military caste, which disliked and despised 101am troops, but would almost certainly have introduced into the y an element of indiscipline and disorder.

00Peter, Historicorum Romanorum Reliquiae (1870, 1906), and Historicorum Romanorum Fragmenta (1883); also articles ROME, History (ancient) ad fin., section "Authorities," and Liv y, where the use made of the annalists by the historian is discussed; Pauly-Wissowa, Realencyclopddie, art.

00(P. C. Y.) Later Dukes of Leeds.

007) which prevents 'a y.

00The histology described above for the polyp may be taken as the primitive type, from which that From Allman's G y mnoblastic Hydroids, by permission of the Council of the Ray Society.

00Maas in Results of In its arrangement the muscular tissue the "Albatross " Expedition, forms two s stems: the one composed Museum of Comparative Y P Zoology, Cambridge, Masse, of striated fibres arranged circularly, that U.S.A. is to say, concentrically round the central FIG.

00(?/ y ?

00in this sub-order have received Such are the " snake-like zoids " and as such are generally inter 4"0 ' 'Y p P After Allman, Gymnoblastic Hydroids, by permission of the council of the Ray Society.

00As a result of this extension of the umbrellar margin, all structures belonging to this region, namely, the ring-canal, the nerve-rings, and the rim of thickened ectoderm, do not run an even course, but are thrown into festoons, caught up under the insertion of each tentacle in such a way that the ring-canal and its accompaniments form in each notch of the umbrellar margin an inverted V, the apex of which corresponds to the insertion of the tentacle; in some cases the limbs of the V may run for some distance parallel to one another, and may be fused into one, giving a figure better compared to an inverted Y.

00The many theories that have been put forward as to the interpretation of the cormus and the various parts are set forth and discussed in the treatise of Y.

00Physalia, general view, diagrammatic; B, cormidium of Physalia; D, palpon; T, palpacle; G, siphon; GP, gonopalpon; M d', male gonophore; M y, female gonophore, ultimately set free.

00BM- Within quite recent years, however, a special school q Y P has arisen with the main object of treating the processes of evolution quantitatively.

00The diocesan synod P Y Y system.

00See this and other instances collected in Usages y demas derechos de Cataluna, by Vives y Cebria (Barcelona, 1835), tom.

00In the 13th centur y Archbishop Peckham, says Maitland (p. 117), as archbishop "asserted for himself and his official (1) a general right to entertain in the first instance complaints made against his suffragans' subjects, and (2) a general right to hear appeals omisso medio."

00The relations of their bishops, priests or other ministers and lay office-bearers inter se and to their lay folk depend upon contract; and these Y P P contracts will be enforced by the ordinary courts of law.

00The only Latin countries in which conflict has not arisen appear to be the principality of Andorra and the republic of San Marino (Giron y Areas, SituaciOn juridica de la Iglesia Catolica, Madrid, 1905, p. 173 et seq.).

00Durand de Maillane, Dictionnaire du droit canonique (1761); Dictionnaire ecclesiastique et canonique, par une societ y de religieux (Paris, 1765); Z.

00Vives y Cebria, Usages y demas derechos de Cataluna (1832); C. A.

00ADELARDO LOPEZ DE AYALA Y HERRERA (1828-1879), Spanish writer and politician, was born at Guadalcanal on the 1st of May 1828, and at a very early age began writing for the theatre of his native town.

00The titles of these juvenile performances, which were played by amateurs, were Salga por donde saliere, Me voy a Sevilla and La Corona y el Punal.

00Within a twelvemonth he became more widely known by his Castigo y Perdon, and by a more humorous effort, Los dos Guzmanes; and shortly afterwards he was appointed by the Moderado government to a post in the home office, which he lost in 1854 on the accession to power of the Liberal party.

00A complete edition of his dramatic works, edited by his friend and rival Tamayo y Baus, has been published in seven volumes (Madrid, 1881 - 1885).

00~ LA 1 J~ y ~ ~

00The swellings have been found to be due to a curious hypertrophy of the tissue of the part, the cells being filled with an immense number of minute bacterium-like organisms of V, X or Y shape.

00The theory of geograph y was advanced by Humboldt mainly by his insistence on the great principle of the unity of nature.

001246; and, after some stay, went on to the camp of the y great khan near Karakorum in central Asia, and returned safely in the autumn of 1247.

00to 2300 (the approximate mean level of 2x00 i the land), and highlands, from 2300 upwards, might 20000 y also be distinguished.

00de la No y and E.

00(P. C. Y.)

00The scope of the anatomical part of the following article is a general account of the structure of birds (A y es) in so far as they, as a class, differ from other vertebrates, notably reptiles and mammals, whilst features especially characteristic, peculiar or unique, have been dwelt upon at greater length so far as space permitted.

00vi., " A y es," Leipzig, completed 1893 by Gadow; and A.

00Y j, Jugal.

00Y, " Accessory " portion of the same.

00The most primitive combination, ambiens and A B X Y, is the most common; next follows that of A X Y, meaning the reduction of B, i.e.

00the iliac portion of the caud-ilio-femoralis; A B X and B X Y are less common; A X and X Y are rare and occur only in smaller groups, as in subfamilies or genera; B X occurs only in Podiceps.

00Further, the combinations B X Y and A X Y cannot be derived from each other, but both directly from A B X Y in two different directions.

00Keeping this in mind, we may fairly conclude that the flamingo with B X Y points to an ancestral condition A B X Y, which is still represented by Platalea and Ibis, whilst the other storks proper have taken a different line, leading to A X Y.

00Owen, article "A y es," Todds' Cyclopaed.

00Such A y es laevocarotidinae of Garrod are common, e.g.

00Sclater on the general geographical distribution of the members of the class " A y es," 2.

00g Y Geonim, the heads of the schools of Sura and Pumbeditha in Babylonia.

00In the Geonic period there came into prominence the sect of the Karaites (Bene migra, " followers of the Scripture", the Protestants of Judaism, who rejected rabbinical authority, basing their doctrine and practice exclusively on The g P Y ICaraltes.

00While the schools of Babylonia were flourishing as the religious head of Judaism, the West, and especially Spain under Moorish rule, was becoming the home of Jewish scholarship. On the breaking of the schools many of the fugitives fled o- g up Y g?

00The Colorados now made General Tajes president, the practical direction of the administration being in the hands of Julio Herrera y Obes.

00In March 1890 General Tajes handed over the presidency to Herrera y Obes, a clever but unscrupulous man, who filled every official post with his own friends and ensured the return of his supporters to the chamber.

00The colloidal sulphur, Ss, described by Debus as a product of the interaction of sulphuretted hydrogen and sulphur dioxide in aqueous solution, is regarded by Spring (Rec. tra y.

00The reactions taking place are complicated, and the solution contains ultimately small drops of sulphur in suspension, a colloidal sulphur (which Spring (Rec. tra y.

00Thus at Athens 1 its history is in its main outlines very much the same as its history at Rome up to a Y Y P certain point, while there is nothing at Athens which at all answers to the later course of things at Rome.

00According to Clemens, the Saviour is termed 7rve0µa BcaKovobAm y (Strom.

00The Staph y linid larvae are typically campodeiform.

00The Scarabaeidae or chafers are an enormous famil y of about 15,000 species.

00Y g Y P process, so manipulated as to secure an overwhelming preponderance for the wealthy, and especially the landed classes, and also for the representatives of the Russian as opposed to the subject peoples.

00Each province of the empire, except the now disfranchised steppes of Central Asia, 7 returns a certainro ortion of members (fixed in each case by P P (Y law in such a way as to give a preponderance to the Russian element), in addition to those returned by certain of 2 M.

00The Gulf of Riga and the Baltic belong also to territory which is not inhabited by Sla y s, but by Finnish races and by Germans.

00In the 9th century the Sla y s occupied the upper Vistula, the S.

00If the Sla y s be subdivided into three branches - the W.

00Sla y s occupy, as a compact body, W., central and S.

00Still, craniological researches show that, notwithstanding this fact, the Slav type has been maintained with remarkable persistency: Slav skulls ten and thirteen centuries old exhibit the same anthropological features as those which characterize the Sla y s of our own day.

00The overwhelming numerical superiority of the Sla y s, and the very great differences in ethnical type, belief and mythology between the IndoEuropean and the Ural-Altaic races, may have contributed to the same end.

00Important monopolies in the 18th maritime- century, and prohibitive import duties, as well as large tares and money bounties, in the 19th, contributed towards the pe t t y - In accumulation of immense private fortunes, but manu- pastries.

00Those of them who lived on the outskirts of the pacified territory adopted a mode of life similar to that of their hereditary opponents, and constituted a peculiar class known as Cossacks, living more by flocks and The h e rds and by marauding expeditions than by a ri y g p ?'

00y i strong enough to pursue at once an aggressive foreign policy, and the tsar prudently determined to make peace with Sweden and conclude an armistice of fourteen years with Poland.

00For this unfriendly act he was deposed and replaced by Biren, who had previously been duke of Courland (1737-40) and had since been an exile in Siberia and Yarosla y.

00Y Places.

00A few weeks after his accession he sanctioned the annexation of the territory of the Tekke Turkomans, which had been conquered by General Skobelev, and in 1884 he formally annexed the Mer y oasis without military operations.

00In the following year, however, the situation was completely altered, a result due to the growing anti-Polish feeling in the Duma and, more especially, to the support given by the Austrian Sla y s to the annexation of Bosnia and Herzegovina.

00Juan Valera Y Alcala Galiano >>

00Although the administration of the above-mentioned acts of parliament has had a beneficial effect upon the safety of the public, and has enabled an enormous volume of traffic Safety to be handled with celerity, punctuality and absence Y?

00P Y of risk, it has during recent years come to notice that the number of casualties among railway servants is still unduly great, and in 1899 a Royal Commission was appointed to investigate the causes of the numerous accidents, fatal and nonfatal, to railway men.

00Y.) American Railway Legislation Before 1870.

00arising at intermediate places, and as these will not usually lie exactl y on the direct line, deviations from straightness will be rendered necessary.

00In the operation of intra-urban railwa y s, steam locomotives, cables and electricity have severally been tried: the first having been used in the earlier examples of underground lines and in the various elevated systems in the United States.

00He was the youngest son of Juan de Jasso, privy councillor to Jean d'Albret, king of Navarre, and his wife, Maria de Azpilcueta y Xavier, sole heiress of two noble Navarrese families.

00Dummler (1877), and a partial translation into German, with an introduction b y W.

00In 1218 he set sail for Esthonia with one of the largest fleets ever seen in northern waters, including a Wendish contingent led by Prince Vitsla y.

00It must be added that the pages on the Slavonic peoples and their relations to the empire are conspicuously insufficient; but it must be taken into account that it was not till many years after Gibbon's death that Slavonic history began to receive due attention, in consequence of the rise of competent scholars among the Sla y s themselves.

00Debs, president of the American Railwa y Union, sent one Frank W.

00long., on the right bank of the Berezina river, and on the railway from Libau and Vilna to Ekaterinosla y.

001 3Xaa477uLa, profane language, slander, probably derived from root of Ovi rrEt y, to injure, and 017µr7, speech), literally, defamation or evil speaking, but more peculiarly restricted to an indignity offered to the Deity by words or writing.

00Peta y .), %vs ePaQCv yhvTCoX6yoc; Origen, Horn.

00It seems that the Zealots made more headwa y in Galilee than in Judaea - so much so that the terms Galilean and Zealot are practically interchangeable.

00[[Dispersion To Modern Times] Bibliog Ra Ph]] y.

00'Invous X ptar6s, Oeou `Tuffs, 16 y TIJp, Jesus Christ, Son of God, Saviour, which together spell the Greek word for "fish," ix9vs.

00The "hundred cities" ascribed to Crete by Homer are in a fair way Y period.

00fhage ?% ° ° Neshoba y ° S o '?

00pirpa; Sla y.

00Men began to feel a desire for a theolo g Y g of the heart and an unworldly simplicity of life.

00Among these some forms, as among the trees, extend much be y ond the tropic and ascend into the temperate zones on the mountains, of which may be mentioned Begonia, Osbeckia, various Cyrtandraceae, Scitamineae, and a few epiphytical orchids.

00Some of them offer historical y outlines.

00The Mala y a dynasty maintained Hindu civilization in the 6th century, and from 606 to 646 Harsha established a brief but brilliant empire in the north with its capital at Kanauj.

00- y which appears between the two first-formed infracta, Kr.

00Senator Robert Y.

00of the town of Ekaterinosla y.

00The success of the Hussite raids in Germany gave fresh confidence to the Sla y s of Poland.

00He has only one symbol (written somewhat like a final sigma) for an unknown quantity, which he calls apc0µ6s (defined as "an undefined number of units"); the symbol may be a contraction of the initial letters ap, as A Y, K Y, D Y O, &c., are for the powers of the unknown (Suvaµcs, square; icu(30s, cube; Svva,uo& va i ccs, fourth power, &c.).

00avw,uaXla, unevenness, derived from a y -, privative, and ouaXbs, even), a deviation from the common rule.

00Whether through jealous y of the ascendancy which Turgot had acquired over the king, or through the natural incompatibility of their characters, he was already inclined to take sides against Turgot, and the reconciliation between him and the queen, which took place about this time, meant that he was henceforth the tool of the Polignac clique and the Choiseul party.

00Silvela to his edition of the Cartas de Sor Maria de Agreda y del rey Felipe IV.

00The clay soils of England, Agricul- the latent fertility of which was to be brought into 187 since Y g I sis.

00But in his character as phenomena must be examined or what may be neglected p y g in economic inquiry.

00y e, Velum.

00(Lankester.) x, y, The median antero-posterior axis.

00y, Adrectal (purpuriparous) gland.

00The 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.

00B, The diblastula has become a trochosphere by the development of the ciliated ring y r (optical section).

00y, Vesicle on genital duct.

00y, Vesicula seminalis.

00y, The ovo-testes.

00k, Opening of the albuphrodite duct, which very soon becomes miniparous gland into P Y the hermaphrodite entwined in the spire of a gland - the duct.

00y, Genital pore.

00Y oshamin desired to raise himself above the Primal Light, but failed in the attempt, and was punished by removal out of the pure aetherial world into that of inferior light.

00The only direct reply made to the Explicatio was the Tractatus de vera excommunicatione (1590) by Theodore Beza, who found himself rather savagely attacked in the Confi y matio thesium; e.g."

00ANTONIO DE HERRERA Y TORDESILLAS (1549-1625), Spanish historian, was born at Cuellar, in the province of Segovia in Spain.

00Of Herrera's writings, the most valuable is his Historia general de los hechos de los Castellanos en las islas y tierra firme del Mar Oceano (Madrid, 1601-1615, 4 vols.), a work which relates the history of the Spanish-American colonies from 1492 to 1554.

00QvvaUapcov, from avvityEt y, to bring together), the name given in the Greek Church to a compilation corresponding very closely to the martyrology of the Roman Church.

00For example, the con Head muscles y traction of the tergo A 's sternal muscles, connect r.

00An air-tube consists of an epithelium of large polygonal cells with a thin basement-membrane externally and y a chitinous layer internally, the lastnamed being continuous with the outer cuticle.

00y, Yolk.

00An y.

00His 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.

00The last seven of its fourteen volumes include the Class A y es, and the first part of them appeared in 1809, but, the original author dying in 1815, when only two volumes of birds were published, the remainder was brought to an end in 1826 by his successor, who afterwards became well known as an entomologist.

00A y es terrestres.

00A y es aquaticae.

00A y es palustres.

00The most novel feature, and one the importance of which most ornithologists of the present day are fully prepared to admit, is the separation of the class A y es into two great divisions, which from one of the most obvious distinctions they present were called by its author Carinatae' and Ratitae, 2 according as the sternum possesses a keel (crista in the phraseology of many anatomists) or not.

00A y es Carinatae aereae.

00A y es Carinatae terrestres.

00A y es Carinatae aquaticae.

00He also admitted among his characteristics a physiological consideration (apparently derived from Oken 1) dividing the class A y es into two sections Altrices and Praecoces, according as the young were fed by their parents or, from the first, fed themselves.

00Y Y P > > much skill, elaborated from them the excellent work known as Nitzsch's Pterylographie, which was published at Halle in 1840, and translated into English, for the Ray Society in 1867.

00Herein he divided the class A y es into two subclasses, to which he applied the names of Insessores and Grallatores (hitherto used by their inventors Vigors and Illiger in a different sense), in the latter work relying chiefly for this division on characters which had not before been used by any systematist, namely that in the former group monogamy generally prevailed and the helpless nestlings were fed by their parents, while the latter group were mostly polygamous, and the chicks at birth were active and capable of feeding themselves.

00No doubt they all agreed in saying that they were prosecuting Y g Y g Y P g a search for what they called the true system of nature; but that was nearly the end of their agreement, for in what that true system consisted the opinions of scarcely any two would coincide, unless to own that it was some shadowy idea beyond the present power of mortals to reach or even comprehend.

00Starting from the basis " that the phrase `birds are greatly modified reptiles' would hardly be an exaggerated expression of the closeness " of the resemblance between the two classes, which he had previously brigaded under the name of Sauropsida (as he had brigaded the Pisces and Amphibia as Ichthyopsida), he drew in bold outline both their likenesses and their differences, and then proceeded to inquire how the A y es could be most appropriately subdivided into orders, suborders and families.

00The upshot, however, admits of no, uncertainty: the class A y es is held to be composed of three " Orders" - I.

00At Z is the treasury of St Mark, which was originally one of the towers belonging to the old ducal palace; E, site of old houses; G, clocktower; H, old palace of procurators; J, old library; M, two columns; N, Ponte della Paglia; 0, Bridge of Sighs; W, Giants' Staircase; X, sacristy of St Mark; Y, Piazzetta.

00beginning with y, not as in Syriac and the eastern dialects with n or 1; the plur.

00Its cartesian equation, when the line joining the two fixed points is the axis of x and the middle point of this line is the origin, is (x 2 + y 2)2 = 2a 2 (x 2 - y 2) and the polar equation is r 2 = 2a 2 cos 20.

00Such curves are given by the equation x 2 - y 2 = ax 4 -1bx 2 y 2 +cy 4 .

00The elliptic lemniscate has for its equation (x 2 +31 2) 2 =a 2 x 2 +b 2 y 2 or r 2 = a 2 cos 2 9 +b 2 sin 20 (a> b).

00The hyperbolic lemniscate has for its equation (x2 +y2)2 = a2x2 - b 2 y 2 or r 2 =a 2 cos 2 0 - b 2 sin 2 B.

00Amongst its buildings are the Gothic five-naved church of St Barbara, begun in 1368, the Gothic church of St Jacob (14th centur y) and the Late Gothic Trinity church (end of 15th century).

00This light railway runs at a considerable elevation (some 700 ft.), commanding a view across the valley and lake of Tan y Bwlch.

00peruvianum, Ca y.

00y P P to assume heavy risks.

00This question can readily be answered as regards the past forty years or so, for which material g p y y ?

00Among these are Civil Wars and Monarch y in France, by M.

00Bitumen is, in its various forms, one of the most widel y -distributed of substances, occurring in strata of every geological age, from the lowest Archean rocks to those now in process of deposition, and in greater or less quantity throughout both hemispheres, from Spitzbergen to New Zealand, and from California to Japan.

00But Strabo, Pliny and Ptolemy, as well as the y better Moslem geographers, drew the eastern only under the Graeco-Roman administration that we find a definite district known as Syria, and that was at first restricted to the Orontes basin.

00The conversion of Basuto A land into a crown colony contributed alike to the Y pros perityof the Basuto,the security of the property of neighbouring colonists and a peaceful condition among the natives of South Africa generally.

00O (idlneSV1 B„, A = eg° it y (.

00-? ??:= aneeCit y -?.3 ?

00Brooksvill y `A :

00y, P J ° c.

00o y Westba c NOR_ TH - Western Florida ?'

00The only published collections of documents relating to the state are Buckingham Smith's Collection de varios documentos para la historic de la Florida y tierras adyacentes (London, 1857), and Benjamin F.

00Don Jose Moriino y Redondo Floridablanca >>

00g g 7 Y g maritime wars of the 18th century gave scope to the exercise of its prize jurisdiction; and its international importance as a prize court in the latter half of the 18th and the first part of the 19th centuries is a matter of common historical knowledge.

00The Malays to-day are Sunni Mahommedans of the school of Shafi`i, and the y habitually use the terms Orang Malayu, i.e.

00Its consonants are k, g, ng, ch, j, n, t, d, n, p, b, m, y, r, l, w, s, h.

00against the Arabs, Sla y s and Bulgarians.

001 whose protection he still cherished when he named his sons Ahaziah and Jehoram ("Yahweh] holds," "Y.

00Of the total population 71.36% were Sla y s, who were scarcely distinguishable from their Bohemian neighbours.

00The 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.

00by the Lombards; and these in their turn were soon forced to retire before an overwhelming invasion of Sla y s, who on their settlement there took the name of Moravians (German, Mehranen or Mahren) from the river Morava.

00At 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.

00These structures, however, are of comparatively minor importance in point of dimensions and decoration; they were apparently designed as places of sepulture for local chieftains, whose domains were afterwards incorporated in the Athenian realm by the vuvoucccr,u6 (synoecism) attributed 1/ Attal}is y?

00The p y ?

00g Y ?

00Brunner, Deutsche Rechtsgeschichte (2nd ed., Leipzig, 1906); Urena y Smenyaud, La Legislation Gotico-hispana (Madrid, 1905).

00Hughes, Notes of a Six Years' Residence in Formosa (London, 1881); Y.

00Meanwhile 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.

00The main source for the history under the Spanish is Fray Inigo Abbad, Historia geografica civil y natural de San Juan Bautista de Puerto Rico (Madrid, 1788; a new edition with notes by Jose J.

00The best modern critical account in Spanish is Salvador Brau, Puerto Rico y su historia (Valencia, 1894).

00There are now n-, y varieties of the cultivated oat included under two principr races - common FIG.

00The first question has not yet been solved, although it has been speculated upon y ?

00We derived this substance from ethane by introducing a meth y l group; hence it may be termed " methylethane."

00Similarly, greater atomic complexity is reflected in a further decrease in the ratio C y /Cy.

00Let double bonds be present, in number p, and let the energy due to such a bond be Y.

00Then the number of single bonds is 2n - m-2p, and the heat of combustion becomes H,=nE+m77+p(2X - Y).

00If triple bonds, q in number, occur also, and the energy of such a bond be Z, the equation for H becomes H = nE-+-mn -1-p(2X - Y) +q(3X - Z).

00Thomsen deduces the actual values of X, Y, Z to be 14.71, 13.27 and zero; the last value he considers to be in agreement with the labile equilibrium of acetylenic compounds.

002 7, p. 45 2), assuming that two liquids may be compared when the ratios of the volumes of the liquids to the volumes of the saturated vapours are the same, deduced that yV 3 (where y is the surface tension, and V the molecular volume of the liquid) causes all liquids to have the same temperature coefficients.

00The 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.

00Ramsay and Shields found from investigations of the temperature coefficient of the surface energy that Tin the equation y(Mv) 3 = KT must be counted downwards from the critical temperature T less about 6°.

00Their surface energy equation therefore assumes the form y(Mv)i=K(T-6°).

00n is the mean number of molecules which associate to form one molecule, then by the normal equation we have y (Mnv) 3 =2.121(r -6°); if the calculated constant be K 1, then we have also y(Mv)3=K,(r-6°).

00Ca, Ba, Sr, Pb; Fe, Zn, Mn, Mg; Ni, Co, Cu; Ce, La, Di, Er, Y, Ca; Cu, Hg, Pb; Cd, Be, In, Zn; Tl, Pb.

00JOHN [" MACGREGOR ROB Ro y "1 (1825-1892), Scottish canoeist, traveller and philanthropist, son of General Sir Duncan MacGregor, K.C.B., was born at Gravesend on the 24th of January 1825.

00In 1905 the powers agreed on the establishment of a financial commission on which the representatives of Great Britain, France, Germany and Ita]y would sit as colleagues of the civil agents.

00In 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.

00the rank of city (muy noble, muy Leal, y muy valerosa ciudad, " most noble, most loyal, and most valiant city"), a privilege which involved some measure of autonomy.

00Ch is always to be sounded as in church, g is always hard; y always represents a consonant; whilst kh and gh stand for gutturals.

00(y!K R.Fubsuy Man?

00This map was repeatedly revised, Antgria- g P P Y ?

00Vergara y Velasco's Atlas de geografia colombiana (1906-1908); Ecuador is fairly well represented by Th.

00Since 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.

00Although 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.

004, Ev UT170E 6, Tlwv aurou - an utterly unmeaning phrase - becomes intelligible on retroversion-10s y 251, " on his very heart."

00Io - I I) admonishes his sons: Hpbs Ta y Ta7rELYWVEL Kaptlas u,I.LWV 'isa SE577vOs EUXoyLav Ea roD u7-6,l,Garoi abroli.

00Pascual De Gayangos Y Arce >>

00The name Visby is derived from the old Norse y e (sanctuary) and by (town).

00Westphal, Melik and Rhyth y nik d.

00Mendez, Noticia de la vida y escritos de Henrique Florez (Madrid, 1780).

00The 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.

00This was known as the Moret Law, having been carried through the house of representatives by Senor Moret y Prendergast, then minister for the colonies.

00Jose Zorrilla Y Moral >>

00ta y.

00Another unfrequent mode of interment was in graves like those of modern times, dug in the floor of the galleries (Marchi, u.s., ta y.

00p. 126, ta y.

00Fully realizing, the difficult P Y g?

00Y 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.

003 Even the " over-Soul " of the mystic Isaac Luria (1534-1572) is a conception known in the 3rd centur y A.D.

00The Sepher Yesirah, or " book of creation," not the old Hilkoth Y.

00Newton C. Blanchard, Democrat Jared Y.

00Villanueva Y Geltru >>

00Originally - P Y g Y residents at Santiago de Cuba, the captains-general resided after 1589 at Havana.

00Rodriguez-Ferrer, Naturaleza y civilization de.

00Cuba (3 torn., Havana, 1851-1860); Ramon de la Sagra, with many collaborators, Historia fiscca, politica y natural de.

00Segui, Ojeado sobre la flora medica y toxica de Cuba (Havana, 1900); J.

00Fernandez y Jimenez, Tratado de la arboricultura Cubana (Havana, 1867).

00de Castro,"Pruebas paleontologicas de que la isla de Cuba ha estado unida al continento americano y breve idea de su constitution geologica," Bol.

00de Castro and P. Salterain y Legarra, " Croquis geologico de la isla de Cuba," ibid.

00Pechardo y Tapia, Diccionario ...

00de voces Cubanas (Havana, 1836, 4th ed., 1875; all editions with many errors); Antonio Bachiller y Morales, Apuntes Para la historia de las letras y de la instruction publica de Cuba (3 tom., Havana, 1859-1861); J.

00Also: Leandro Garcia y Gragitena, Guia del empleado de hacienda (Havana, 1860), with very valuable historical data; Carlos de Sedano y Cruzat, Cuba desde 18 5 0 a 1873.

00Coleccion de informes, memorias, proyectos y antecedentes sobre el gobierno de la isla de Cuba (Madrid, 1875); Vicente Vasquez Queipo, Informe fiscal sobre fomento de la poblacion blanca (Madrid, 1845); Informacion sobre reformas en Cuba y Puerto Rico celebrada en Madrid en 1866 y 67 por los representantes de ambas islas (2 tom., New York, 1867; 2nd ed., New York, 1877); and the Diccionario of Pezuela.

00de Arango y Parreno, Obras (2 tom., Havana, 1888).

001-2 of the book cited above, being the Historia fisica y politica, and also the earlier work on which they are based, Historia economica-politica y estadistica de..

00Fort y Roldan, Cuba indigena (Madrid, 1881); M.

00Bachiller y Morales, Cuba primitive (Havana, 1883).

00Galiano, Cuba en 1858 (Madrid, 1859); Jose de la Concha, twice Captain-General of Cuba, Memorias sobre el estado politico, gobierno y administracion de.

00Armas y Cespedes, De la esclavitud en Cuba (Madrid, 1866), and Regimen politico de las Antillas Espanolas (Palma, 1882); R.

00Cabrera, Cuba y sus Jueces (Havana, 1887; 9th ed., Philadelphia, 1895; 8th ed., in English, Cuba and the Cubans, Philadelphia, 1896); P. de Alzola y Minondo, El Problema Cubano (Bilbao, 1898); various works by R.

00Meyer in 1882 (Be y ., 1882, 15, pp. 1324, 1525, 2 77 8).

00The y may also be prepared by the reduction of pseudo-nitrols (R.

00Also 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.

00A 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.

00Two 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.

00If 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.

00The 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.

00BIBLIoGRAPx y.

00Its 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.

00Makushev, Monumenta historica Slavorum Meridionalium (Belgrade, 1885); Y.

00Law was a bus y writer under three heads :- 1.

00In 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.

00y,?r.

00?MasalCa; o o ?novo Uskiib, y fi a S E A Trnovo° L ?

00` Li A7 t y, ., / ..Tachlno _ 1LlAm t o us J ° a ?

00'P V y ndina st .

00This 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.

00When 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.

00Y P P importance.

00The 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.

00Five 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.

00Russia, 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.

00The 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.

00island; Y 97 from the Piraeus with an armed force, intending to proclaim the annexation of Crete to Greece, and Greek troops were massed on the Thessalian frontier.

00q Y imam of Sana, necessitated the despatch of large and costly expeditions to Arabia, in which thousands of Turkish .troops have fallen in guerrilla warfare or through the inhospitable climate; in Albania disturbance became almost endemic, owing to the resistance offered by the intractable population to successive attempts of the central authorities to subject the country to regular taxation and the operation of the laws.

00In 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.

00The 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.

00vii.; Y.

00de Herrera, Sumario y breve declaration de los disenos y estampas de la fab.

00de Cabrera de Cordova, Felipe Segundo (Madrid, 1619); James Wadsworth, Further Observations of the English Spanish Pilgrime (London, 1629, 1630); Ilario Mazzorali de Cremona, Le Reali Grandezze del Escuriale (Bologna, 1648); De los Santos, Descripcion del real monasterio, &c. (Madrid, 1657); Andres Ximenes, Descripcion, &c. (Madrid, 1764); Y.

00Alonso de Ercilla y Zuniga >>

00A very large amount of local detailed observation in the various sea-areas must be the next important work to be undertaken: this means currentobservations b y direct readings of metres, by the employment of drift-bottles and numerous determinations of temperature and salinity at all seasons.

00The 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.

00Water 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.

00the gill-slits may be stated briefly as follows: - (a) the presence of two kinds of branchial bars in all species and also of small cross bars (synapticula) in many species; (s) numerous gill slits, from forty to more 1 - _ than a hundred pairs; (y) the addition of new gill-slits by fresh perforation at the posterior end of the pharynx throughout life.

00Without 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.

00Hamburg 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).

00The town, rebuilt after this disaster, was again more than once devastated by invading Danes and Sla y s.

00Kaufler and C. Herzog, Be y ., 1909, 4 2, p. 3858.

00When 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.

00Manuel Tamayo Y Baus >>

00one form, and he isolated a, 13 and y varieties with specific rotations of 105°, 52.5° and 22°.

00In a fresh solution a-glucose only exists, but on standing it is slowly transformed into -y-glucose, equilibrium being reached when the a and y forms are present in the ratio o 368:0.632 (Tanret, Zeit.

00Juste, Le Soulevement de la Hollande en 1813 et la fondation du ro y aume des Pays-Bas (Brussels, 1870); and P. Blok, Geschiedenis der Nederlandsche Volk, vols.

00Jenaro De Quesada Y Matheus >>

00In 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.

00i* r °w Y according to various versions of the legend, he either rebuilt a city on the site of Troy, or settled at Cyrene, or became the founder of Patavium.

00The spec. gra y.

00The 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.

00Among 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.

00Vivero 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.

00Schulze, Be y ., 1871, 4, p. 802; C. Friedel and J.

00anv, where the first suffixes are the natural numbers I, 2, 3, ...n taken in order, and a, 0, y, ...

00Y ...a n v, the summation being for all permutations of the n numbers, is called the determinant of the n 2 quantities.

00a 2 y2 a2 /32_ a2 y2 a2 -, 9_a2 72 - a2 a 1 3 y = a fl - a y - a - y - a I 1111 0 0 (0 - a)(7 - a)I i ay 1 a I = (a - 7)(7 - a)I 130771-al = (a - a) (7 a)(0-7).

00In 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.

00Suppose n dependent variables yl, y2,ï¿½ï¿½ï¿½yn, each of which is a function of n independent variables x1, x2 i ï¿½ï¿½ï¿½xn, so that y s = f s (x i, x 2, ...x n).

00From the differential coefficients of the y's with regard to the x's we form the functional.

00- 2 ay2' ax, Ux2 ï¿½ï¿½ï¿½ a y n ay.

00ï¿½ Oxl d 2x 77n If we have new variables z such that zs=4s(yl, Y2,...yn), we have also z s =1 Y 8(x1, x2,ï¿½ï¿½ï¿½xn), and we may consider the three determinants which i s 7xk, the partial differential coefficient of z i, with regard to k .

00x n / I l yl, y2,ï¿½ï¿½ï¿½yn Theorem.-If the functions y 1, y2,ï¿½ï¿½ï¿½ y n be not independent of one another the functional determinant vanishes, and conversely if the determinant vanishes, yl, Y2, ...y.

00Consider then the system of ni equations a21xi+a22x2+ï¿½ï¿½ï¿½ + a2nxn = 0 a31x1+a32x2+ï¿½ï¿½ï¿½+a3nx,, =0 an1x1 + an2x2 + ï¿½ ï¿½ ï¿½ +annxn = 0, which becomes on writing xs = y 8, a21y1+ a 22y2 + ï¿½ ï¿½ ï¿½ + a 2,n-lyn-1 + a 2n = 0 a3lyl +a32y2+ï¿½ï¿½ï¿½ +a3,n-lyn-i+a3n =0 an1 y1 +an2y2 +ï¿½ï¿½ï¿½ +an, n-lyn-1 +ann = 0.

00Hence_li y ` A 1n where A li and A li, are minors of the complete determinant (a11a22...ann)ï¿½ an1 ant ï¿½ï¿½ï¿½an,n-1 or, in words, y i is the quotient of the determinant obtained by erasing the i th column by that obtained by erasing the n th column, multiplied by (-r)i+n.

00We may equally express the result as 4,(al)Y'(a2)...0 (am) =0, (a 8 -fa t) =0.

00Now, suppose f and 4) to have a common factor x--y, f(x) =f1(x)(x--y); 4,(x) =4,1(x)(x--y), f l and 41 being of degrees m-1 and ni respectively; we have the identity ch i (x)f(x) =fl(x)4,(x) of degree m+n-I.

00yl, y 2,...yn) (zl, z2,...zn z1, z 2, ï¿½ï¿½ï¿½zn xi, 'X' 2,...

00= 0, we find that, eliminating x, the resultant is a homogeneous function of y and z of degree mn; equating this to zero and solving for the ratio of y to z we obtain mn solutions; if values of y and z, given by any solution, be substituted in each of the two equations, they will possess a common factor which gives a value of x which, corn bined with the chosen values of y and z, yields a system of values which satisfies both equations.

00af Expression in Terms of Roots.-Since x+y y =mf, if we take cx any root x 3, y1, ofand substitute in mf we must obtain, y 1 C) zaZ1 ï¿½; hence the resultant of and f is, disregarding numerical factors, y,y2...y,,.

00Now f = (xy 1 - x i y) (xy 2 - x 2 y) ...

00(x y m - x m y), ar _ y1(x y 2 - and substituting in the latter any root of f and forming the product, we find the resultant of f and d, viz.

00y 1 y 2 ...

00y m (xly2 - x2y1) 2 (x0,3 - x 3 yl) 2...

00appertaining to the function (li'l32l3...), each separation having a specification m" ` ' 8 m ï¿½2s m ï¿½38 multiply b P (is 2s 3s .ï¿½ï¿½), P Y by ls!

00It 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,...

00P y q +...

00= 1 +(l A x +(01) y +(102) x2 +(1001)xy+(512)3,2 +(103)x 3 +(10201)x i y+(10 O12)xy2+ (013)y3+...

00Further writing 1 +hlox+holy+...+ hpgx P y {-...

00- If, in the identity 1 (1 +anx = 1+aiox+aoly+a20x 2 +allxy+a02y 2 +..., we multiply each side by (I -ï¿½-P.x+vy), the right-hand side becomes 1 +(aio+1.1 ') x +(a ol+ v) y +...+(a p4+/ 1a P-1,4+ va Pr4-1) xPyq - - ...; hence any rational integral function of the coefficients an, say f (al °, aol, ...) =f exp(ï¿½dlo+vdol)f d a P-1,4, dot = dapg The rule over exp will serve to denote that i udio+ vdo h is to be raised to the various powers symbolically as in Taylor's theorem.

00We frequently meet with cogredient and contragedient quantities, and we have in general the following definitions:-(i) " If two equally numerous sets of quantities x, y, z,...

00x', y', z',...

00are such that whenever one set x, y, z,...

00is expressed in terms of new quantities X, Y, Z, ...

00the second set x', y', z', ...

00is expressed in terms of other new quantities X', Y', Z', ....

00(2) " Two sets of quantities x, y, z, ...; E, n, i, ...

00are said to be contragredient when the linear substitutions for the first set are x =A1X+u1Y-}-v1Z-?--..., y = A2X+,u2Y +v2Z ï¿½..., Z = A 3 X +ï¿½3Y -1v 3 Z - -..., and these are associated with the following formulae appertaining to the second set, .`"?.

00are contragredient with the d- variables x, y, z, ...

00for when (x, z, ï¿½ï¿½ï¿½) = (A l, ï¿½i, VI I ï¿½ï¿½ï¿½) (X, Y, Z, ï¿½ï¿½ï¿½), I A 2, / 2 2, Y2, ...

00I I A S, 1 2 3, Y 3, ....

00rd Y' ' ...) = 01, A2, A 3, ...) (d ' ' z / 2 1, /22, / 1 3, ...

00If u, a quantic in x, y, z, ..., be expressed in terms of new variables X, Y, Z ...; and if, n,, ..., be quantities contragredient to x, y, z, ...; there are found to exist functions of, n, ?, ..., and of the coefficients in u, which need, at most, be multiplied by powers of the modulus to be made equal to the same functions of E, H, Z, ...

00The ï¿½th polar of ax with regard to y is n-ï¿½ a aye i.e.

00The process of transvection is connected with the operations 12; for?k (a m b n) = (ab)kam-kbn-k, (x y x y or S 2 k (a x by) x = 4))k; so also is the polar process, for since f k m-k k k n - k k y = a x by, 4)y = bx by, if we take the k th transvectant of f i x; over 4 k, regarding y,, y 2 as the variables, (f k, 4)y) k (ab) ka x -kb k (f, 15)k; or the k th transvectant of the k th polars, in regard to y, is equal to the kth transvectant of the forms. Moreover, the kth transvectant (ab) k a m-k b: -k is derivable from the kth polar of ax, viz.

00ai by substituting for y 1, y 2 the cogredient quantities b2,-b1, and multiplying by by-k.

00Since, If F = An, 4) = By, 1 = I (Df A4) Of A?) Ab A"'^1Bz 1=, (F, Mn Ax I Ax 2 Axe Ax1) J The First Transvectant Differs But By A Numerical Factor From The Jacobian Or Functional Determinant, Of The Two Forms. We Can Find An Expression For The First Transvectant Of (F, ï¿½) 1 Over Another Form Cp. For (M N)(F,4)), =Nf.4Y Mfy.4), And F,4, F 5.4)= (Axby A Y B X) A X B X 1= (Xy)(F,4))1; (F,Ct)1=F5.D' 7,(Xy)(F4)1.

00% -k Y k = (af) k a n x.

00ukx(n-2) ï¿½ Taking the first polar with regard to y (n - k) (a f) xa x -k-l ay+ k (af) k-l ay -k (ab) (n -1) b12by n kn-2k-1 n-1 k(n-2) =k(n- 2)a u x u5+nax ayux and, writing f 2 and -f l for y1 and 3,21 (n-k)(a f) k+ta i k-1 + k (n - 1)(ab)(a f) k-1 (b f)4 1 k by-2 = (uf)u xn-2k-1?

00To 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 .

00y1 = x 15+f2n; fï¿½ y2 =x2-f?n, f .a b = ax+ (a f) n, l; n u 2 " 2 22 2 +` n) u3 n-3n3+...+U 2jnï¿½ 3 n Now a covariant of ax =f is obtained from the similar covariant of ab by writing therein x i, x 2, for yl, y2, and, since y?, Y2 have been linearly transformed to and n, it is merely necessary to form the covariants in respect of the form (u1E+u2n) n, and then division, by the proper power of f, gives the covariant in question as a function of f, u0 = I, u2, u3,...un.

00For it is easy to establish] the formula (yx) 2 0 4 = 2f.4-2(f y 1) 2 connecting the Hessian with the quartic and its first and second polars; now a, a root of f, is also a root of Ox, and con se uentl the first polar 1 of of q y p f?

00a = - (ji) 2 jx; s = (ia)ix; Y = (ra)r x: (3= (T0)T x .

00Taking the variables to be x, y and effecting the linear transformation x = X1X+1.11Y, y = X2X+It2Y, X 2 +Y2X Y Xl - X2 y = _ x X I + AI R X 122 so that - ï¿½l b it is seen that the two lines, on which lie (x, y), (X, Y), have a definite projective correspondence.

00As 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.

00The 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.

00Thus 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.

00Kant (1898, 1 899); "Griindung Organization and Lebensordnungen der deutschen Universit y ten im Mittelalter" (in Sybel's Histor.

00The 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.

00Thus 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.

00In 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.

00In the latter part of the 8th century Mer y became obnoxious to Islam as the centre of heretical propaganda preached by Mokanna.

00A younger brother of Toghrul, Daud, took possession of Mer y and Herat.

00It was about this time that Mer y reached the zenith of her glory.

00During 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.

00In 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.

00On the death of the grandson of Jenghiz Khan Mer y was included (1380) in the possessions of Timur-iLeng (Tamerlane), Mongol prince of Samarkand.

00Mer y remained in the hands of Persia until 1787, when it was captured by the emir of Bokhara.

00East of the old Seljuk capital is Giaur Kalah, the Mer y of the Nestorian era and the capital of the Arab princes.

00O'Donovan, The Mer y Oasis (2 vols., London, 1882); C. Marvin, Mery (London, 1880); and H.

00If 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.

003) by F, and its components parallel to the co-ordinate axes by X and Y, we have X= - ax = M(3 cos' 0 - I), Y= - y = M (3 sin 0 cos 0.

00If 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.

00The components X, Y, parallel and perpendicular to r, of the force between the two magnets SN and S'N' are X =3MM'(sin 0 sin 4)-2 cos 0 cos 4)/r 4, (21) Y=3MM'(sin 0 cos 4-{-sin 4 cos 0)/r 4 .

00Y Y' is a so.- iron yoke, which rocks upon knife-edges K and constitutes the beam of the balance.

00The 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.

00The 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.

00y, The broad first somite of the metasoma.

00The 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.

00Y abps ....

00Ascorhynchidae (genera Ascorh_ y nchus and Ammothea); 2.

00During the winter of 1916-7 these volunteers experienced heav y losses; after the Russian revolution in March 1917, Bolshevik sympathies spread among these troops and large sections of the people, while on the other hand national aspirations united the Farmers' Political League (40,000 members), headed by K.

001-22), Mart y rium beati Petri Apostoli a Lino episcopo conscriptum.

00y Orionis or Bellatrix, and x Orionis are stars of the 2nd magnitude.

00fyxen, due to the change from o to y, and addition of the feminine termination -en, cf.

00The 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.

00As Meissen was relieved from the attacks of the Sla y s by the movement of the German boundary to the east, its prosperity increased.

00Latreille 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.

00Huxley 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.

00The 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.

00g y g possession of the city of Montevideo in January 1817, and the territory of Misiones was afterwards occupied.

00The of two brothers Andrada were called to the ministry razil' y 1822.

00Throughout 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.

00The 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.

00The 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.

00Da Gama made no landing here and, like Discovery the rest of South Africa, Natal was neglected by the and early g Y his tory.

00In 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."

00The 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.

00The 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.

00To Anselm speciall y belongs the motto Credo ut intelligam, or, as it is obscurity of the schools..

00William 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.

00He zealously combated the Tritheism of Roscellinus, but his own views on the Trinity were condemned by two councils (at Soissons 3' y (in 1 121 and at Sens in 1140).

00The monotheistic influence of Aristotle and his Arabian commentators