A and B represent the same animal, some of the organs being shown in one figure and some in the other.
A careful sifting of the available evidence would rather tend to represent Periander as a ruler of unusual probity and insight, and the exceptional firmness and activity of his government is beyond dispute.
A curious fragment of Welsh dialogues, printed by Professor Rhys in his Studies on the Arthurian Legend, appears to represent Kay as the abductor, In the pseudo-Chronicles and the romances based upon them the abductor is Mordred, and in the chronicles there is no doubt that the lady was no unwilling victim.
A quaint figure in the pantheon of the heroic age is Hanuman, the deified chief of monkeys - probably meant to represent the aboriginal tribes of southern India - whose wonderful exploits as Rama's ally on the expedition to Lanka Indian audiences will never weary of hearing recounted.
A representative must have been an inhabitant of the state for at least two years next preceding his election, and must be an inhabitant of the town, parish or ward he is chosen to represent; a senator must be at least thirty years of age, must have been an inhabitant of the state for at least seven years next preceding his election, and must be an inhabitant of the district by which he is chosen.
A small deer and, in southern Ecuador, the llama (Auchenia) with its allied species, the alpaca, guanaco and vicuna, represent the ruminants.
A small nucleus of the proverbs may be Solomon's; but the great majority represent no doubt the generalizations of a long succession of " wise men."
A system of emanations of this kind, in its purest form, is set forth in the expositions coming from the school of Basilides, which are handed down by Irenaeus, while the propositions which are set forth in the Philosophumena of Hippolytus as being doctrines of Basilides represent a still closer approach to a monistic philosophy.
Above the brow-tine is developed a second palmated tine, which appears to represent the bez-tine of the red-deer; there is no trez-tine, but some distance above the bez the beam is suddenly bent forward to form an "elbow," on the posterior side of which is usually a short back-tine; above the back-tine the beam is continued for some distance to terminate in a large expansion or palmation.
Absalom was now the eldest surviving son of David, and the present position of the narratives (xv.-xx.)- after the birth of Solomon and before the struggle between Solomon and Adonijah - may represent the view that the suspicion that he was not the destined heir of his father's throne excited the impulsive youth to rebellion.
According to him, the following equations represent the connexion between the lines of the three related series.
According to religion, about 84% are Protestants, to% Roman Catholics and 5% Jews, but owing to the great number of Jews who for social and other reasons ostensibly embrace the Christian faith, these last figures do not actually represent the number of Jews by descent living in the city.
According to Spengel, the pair of ganglia near the mouth, variously called labial or cerebral, represent the cerebral pair and pleural pair of a gastropod combined, and the parietosplanchnic pair correspond to the visceral ganglia, the commissure which connects them with the cerebro-pleural representing the visceral commissure.
According to the figures given above the communicants of the Church of Scotland represent 14.7 of the population and those of the United Free 10.6.
According to the pseudo-Hippolytus he was burned; but Symeon Metaphrastes and the Paschal Chronicle represent him to have been dragged over rough stones until he died.
Acute inflammation of various types, suppuration, granulation-tissue formation, &c., represent some of the complex resulting processes.
Advance has been along two lines, markedly in relation to insect-pollination, one of which has culminated in the hypogynous epipetalous bicarpellate forms with dorsiventral often large and loosely arranged flowers such as occur in Scrophulariaceae, and the other in the epigynous bicarpellate small-flowered families of which the Compositae represent the most elaborate type.
After a preliminary examination of all possible different attempts at a solution of the problem of evil, the attempt is here made to represent the devil as an instrument of God.
After the union he continued to represent Edinburgh, and later the Wigton burghs.
Again, a Christian could not represent Christ as the son of the wife of the sun-god; for such is the natural interpretation of the woman crowned with the twelve stars and with her feet upon the moon.
AgricultureDespite the enormous development of industries and commerce, agriculture and cattle-rearing still represent in Germany a considerable portion of its economic wealth.
Alfred Sidgwick's logical writings, especially his Distinction (1892) and The Use of Words in Argument (1901), represent an independent development.
All numbers, for instance,which represent physical measurements,are limited in their accuracy not only by our powers of measurement but also by the accuracy of the measure we use as our unit.
All these controversial writings on mathematics and physics represent but one half of his activity after the age of p y g Years.
Although Bucharest is the conventional English spelling, the forms Bucarest and Bukarest more nearly represent the correct pronunciation.
Although he really directed the policy of the various ministries, he evidently thought that the time was not ripe for asserting openly his own claims to direct the policy of the Republic, and seemed inclined to observe a neutral attitude as far as possible; but events hurried him on, and early in 1881 he placed himself at the head of a movement for restoring scrutin de lisle, or the system by which deputies are returned by the entire department which they represent, so that each elector votes for several representatives at once, in place of scrutin d'arrondissement, the system of small constituencies, giving one member to each district and one vote to each elector.
Although it is not possible to represent the properties of steam in this manner up to the critical temperature, the above method appears more satisfactory than the adoption of the inconsistent and purely empirical formulae which form the basis of most tables at the present time.
An endeavour was made to publish an annual budget, in which the revenue and expenditure should accurately represent the sums actually received and expended.
Animal sacrifice, libations, ritualistic purification, sprinkling of water, and symbolical rites of all kinds accompanied by short prayers, represent a religious practice which in the Babylonian-Assyrian religion, as in all religions, is older than any theology and survives the changes which the theoretical substratum of the religion undergoes.
Another almost equally exceptional feature is the persistence of the colonial executive council, consisting of members chosen to represent divisions of the state, who assist the governor in his executive functions.
Another view is to regard the cone as an inflorescence, each carpellary scale being a bract bearing in its axil a shoot the axis of which has not been developed; the seminiferous scale is believed to represent either a single leaf or a fused pair of leaves belonging to the partially suppressed axillary shoot.
Any quaternion may now be expressed in numerous simple forms. Thus we may regard it as the sum of a number and a line, a+a, or as the product, fly, or the quotient, be-', of two directed lines, &c., while, in many cases, we may represent it, so far as it is required, by a single letter such as q, r, &c.
Aplanospores would seem to represent zoospores arrested in their development; without reaching the stage of motility, they germinate within the sporangium.
Arcadia, on the other hand, in the heart of Peloponnese, retained till a late date a quite different dialect, akin to the ancient dialect of Cyprus, and more remotely to Aeolic. This distribution makes it clear (r) that the Doric dialects of Peloponnese represent a superstratum, more recent than the speech of Arcadia; (2) that Laconia and its colonies preserve features alike, -n and -w which are common to southern Doric and Aeolic; (3) that those parts of " Dorian " Greece in which tradition makes the pre-Dorian population " Ionic," and in which the political structure shows that the conquered were less completely subjugated, exhibit the Ionic -a and -ov; (4) that as we go north, similar though more barbaric dialects extend far up the western side of central-northern Greece, and survive also locally in the highlands of south Thessaly; (5) that east of the watershed Aeolic has prevailed over the area which has legends of a Boeotian and Thessalian migration, and replaces Doric in the northern Doris.
Arrow heads at the ends of an axis of an ellipse indicate tension as distinct from compression, and the semi-axes in magnitude and direction represent the principal stresses.
As he felt free to make slight changes, the first edition does not represent the exact text of 1530; the edition of 1 533 was further improved, while that of 1540, rearranged and in part rewritten, is known as the Variata.
As Romulus and Numa represent the Ramnes and Tities, so, in order to complete the list of the four traditional elements of the nation, Tullus was made the representative of the Luceres, and Ancus the founder of the Plebs.
As the only light permitted to reach the plate is that of the calcium line, the resulting image will represent the distribution of calcium vapour in the sun's atmosphere.
Assuming the above formula to represent guncotton, there is sufficient oxygen for internal combustion without any carbon being left.
At a much later epoch it was introduced into the Latin alphabet by the emperor Claudius to represent y, and the sound which was written as i or u in maximus, maxumus, &c.
At first Luther's cardinal doctrine of grace appeared to Melanchthon inconsistent with any view of free will; and, following Luther, he renounced Aristotle and philosophy in general, since "philosophers attribute everything to human power, while the sacred writings represent all moral power as lost by the fall."
Attempts have been made in modern times to represent the Apocalyptists as opposed to the Pharisees and as occupying the position in popular estimation which Josephus ascribes to the Pharisees.
Attention has accordingly been directed to the deeply-staining granules mentioned above, and the term chromatin-granules has been applied to them, and they have been considered to represent a rudimentary nucleus.
Augustus occasionally appointed a city praefect to represent him in his absence from Italy, although the praetors, or even one of the consuls, remained in the capital.
Before fertilization the nucleus of the egg-cell divides and cuts off a ventral canal-cell; this cell may represent a second egg-cell.
Being under the protection of the constitution, and enjoying the advantages of the common law, Catholicism could not meet with any official opposition; such few outbursts of fanaticism as there have been were but temporary or local, and did not represent the true feelings of the country.
Bernardim Ribeiro, Christovam Falcao, Gil Vicente, and SA de Miranda, who represent the transition between the Spanish school of the i 5th and the Italian school of the 16th century, the members of which are called Os Quinhentistas.
Both are considered to represent the Karroo formation of South Africa.
Both belong to a period in Greek history when the great city states had exhausted themselves in the futile struggle against Macedon and Rome, and both represent a conscious popular determination in the direction of systematic government.
Both bodies of exposition represent the traditional principle at work in the sub-apostolic age, making for the preservation in relative purity, over against merely subjective interpretations - those of the Gnostics in particular - of the historic or original sense of Christ's teaching, just as Ignatius stood for the historicity of the facts of His earthly career in their plain, natural sense.
Both books represent the same general trend of political events, even where the " canonical " representation is most open to criticism.
Both the systems which are handed down under his name by Irenaeus and Hippolytus, that of emanations and the monistic-evolutionary system, represent further developments of his ideas with a tendency away from dualism towards monism.
Brentano (On Gilds) holds that it is wrong to represent such regulations as monopolistic, inasmuch as there was no question whatever of a monopoly in that time nor until the degeneration of the craftgilds into limited corporations of capitalists.
Busiris, Bubastis, Buto, more strictly represent Pusiri, Pubasti, Puto, cities sacred to these divinities.
But 1 "It is, perhaps, by surveying India that we at this day can best represent to ourselves and appreciate the vast external reform worked upon the heathen world by Christianity, as it was organized and executed throughout Europe by the combined authority of the Holy Roman Empire and the Church Apostolic."
But a term so equivocal, leading to an antithesis so misleading as that between monism and dualism, can never represent the real difference between metaphysical schools.
But from the dynamical standpoint it is obvious that equations which represent the facts correctly on one system of time-measurement might become seriously defective on another.
But it must at once be said that it is plainly contrary to fact to represent him, as some have done, as the creator of political economy.
But the bristle-tails and springtails, which form the modern order Aptera, are all without any trace of wings, and, on account of several remarkable archaic characters which they exhibit, there is reason for believing that they are primitively wingless - that they represent an early offshoot which sprang from the ancestral stock of the Hexapoda before organs of flight had been acquired by the class.
But the history of the alphabet shows that at no time has it represented any European language with much precision, because it was an importation adapted in a somewhat rough and ready fashion to represent sounds different from those which it represented outside Europe.
But the line of constant energy on - the diagram does not represent the path of the transformation, unless it be supposed to be effected in a series of infinitesimal steps between each of which the substance is restored to an equilibrium state.
But these figures do not represent the actual service of every able-bodied Italian.
But this again may be so stated as to represent only one side of the truth.
But, apart from the diurnal fluctuations of consumption which may be equalized by local " service reservoirs," uniform distribution of supply throughout twelve months is rarely what we require; and to represent the demand in most towns correctly, we should increase the angle of this line to the horizontal during the summer and diminish it during the winter months, as indicated by the dotted lines b b.
By a true instinct the early Christian writers called widows and orphans the altar of God on which the sacrifices of almsgiving are offered up. 4 Such works of charity, however, represent only one of the channels by which self-sacrifice is ministered, to which all prayers and thanksgiving and instruction of psalms, prophecy and preaching contribute.
By assuming suitable forms of the characteristic equation to represent the variations of the specific volume within certain limits of pressure and temperature, we may therefore with propriety deduce equations to represent the saturation-pressure, which will certainly be thermodynamically consistent, and will probably give correct numerical results within the assigned limits.
By politic management Trajan was able to represent the diminution as a sort of discount for immediate payment, while the civilians had to wait a considerable time before their full due was handed to them.
Calcium oxalate is a very common substance, especially in crustaceous lichens; fatty oil in the form of drops or as an infiltration in the membrane is also common; it sometimes occurs in special cells and in extreme cases may represent 90% of the dry substance as in Verrucaria calciseda, Biatora immersa.
Chinese and Tibetan authorities differ as to the name of this monarch; but it apparently is meant to represent an Indian name Satavahana, which is a dynastic title, not a personal name.
Chosen to represent the provincial synod of Anjou, Touraine and Maine at the national synod held in 1631 at Charenton, he was appointed as orator to present to the king "The Copy of their Complaints and Grievances for the Infractions and Violations of the Edict of Nantes."
Concerning the second question, the recent investigations of Buchner ascogenous hyphae with their asci represent the sporophyte since they are derived from the fertilized ascogonium.
Craniometrical evidence strongly favours the theory, now generally accepted, that they represent a branch of the pre-Aryan Dravidians of southern India, and that their ancestors probably made a settlement in the island of Ceylon in prehistoric times, detaching themselves from a migrating horde which passed through the island to find at last a permanent home in the continent of Australia.
Do not all these ideas, when held to represent something which exists absolutely apart from all knowledge of it, involve.a contradiction?
Does this consciousness represent an authentic insight into ultimate fact, or is it a pitiful illusion of the nerves, born of man's hopes and fears and of his fundamental ignorance?
During her residence here a conference was held at York between her own and Elizabeth's commissioners and those appointed to represent her son as a king of Scots.
During the reign of Ferdinand (1367-1383) and under the regency of Leonora the ruling dynasty ceased to represent the national will; the Portuguese people therefore made an end of the dynasty and chose its own ruler.
Either two sounds are confused under one symbol, or these records represent a dialect which, like Hebrew and Assyrian, shows sh, z, and c, where the ordinary Aramaic representation is t, d, and t, the Arabic tic, dh, and th.
English, though possessing sounds comparable to the Greek 0, /, x, has never made any attempt to represent them in writing.
Etruscan, like Latin, used (from right to left) to represent the sound of Latin F, but, unlike Latin, adopted 8 not as the single symbol.
Even those who do not fall into the error of making Smith the creator of the science, often separate him too broadly from Quesnay and his followers, and represent the history of modern economics as consisting of the successive rise and reign of three doctrines - the mercantile, the physiocratic and the Smithian.
Every precaution was taken to ensure that the version should represent the result of the best scholarship of the time, applied to the work before it with constant devotion and with the highest sense of responsibility.
Executive and legislative councils were established; and in each of the six districts into which, for administrative and legal purposes, the island was divided, a commissioner was appointed to represent the government.
Expressing this condition we obtain mb = 1/ nc = o as the relation which must hold between the co-efficients of the above equation and the sides of the triangle of reference for the equation to represent a parabola.
Finally we have to glance at a new list of definitions which perhaps in some cases seek more or less to formulate modern Protestant ideas, but which in general represent rather the world of disinterested historical scholarship.
Following the fashion of the pagan mysteries in which men were only permitted to gaze upon the sacred objects after minute lustrations and scrupulous purifications, Christian teachers came to represent the Creed, Lord's Prayer and Lord's Supper as mysteries to be guarded in silence and never divulged either to the unbaptized or to the pagans.
For his essays are fine examples of permanent literature appearing in an ephemeral medium, and represent work which has solid worth for later thought as well as for the speculation of their own time.
For if in the triangle abc the side ab is taken so as to represent on a given scale the tension of the surface of contact of the fluids a and b, and if the other sides be and ca are taken so as to represent on the same scale the tensions of the surfaces between b and c and between c and a respectively, then the condition of equilibrium at 0 for the corresponding tensions R, P and Q is that the angle ROP shall be the supplement of abc, POQ of bca, and, therefore, QOR of cab.
For many years, indeed, he came to represent to ordinary Englishmen the typical or ideal professor of physics.
For the collection of data he necessarily relied upon the labours of a corps of assistants, and the publications named represent, properly speaking, an encyclopaedia rather than a unified history; but as a storehouse of material their value is great and is likely to be enduring.
Fortunately it chanced that another people, the Persians, had adopted the Assyrian wedge-shaped stroke as the foundation of a written character, but making that analysis of which the Assyrians had fallen short, had borrowed only so many characters as were necessary to represent the alphabetical sounds.
From an historical point of view it is characteristic of these additions that they generalize Joshua's successes, and represent the conquest of Canaan, effected under his leadership, as far more complete than the earlier narratives allow us to suppose was the case.
From the Mid-Miocene to the Oligocene of France are known several species of Palaelodus, Elornis and Agnopterus, which have relatively shorter legs, longer toes and a complicated hypotarsus, and represent an earlier family, less specialized although not directly ancestral to the flamingos.
Further, at any one of the centres of load let PL represent the magnitude and direction of the gross load, and Pa, Pb the two resistances by which the piece to which that load is applied is supported; then wifl those three lines be respectively the diagonal and sides of a parallelogram; or, what is the same thing, they will be equal to the three sides of a triangleS and they must be in the same plane, although the sides of the polygon of resistances may be in different planes.
Gefion was another goddess who may represent a later form of Nerthus.
Goths, Vandals, Suebi, Burgundians and Langobardi embraced it; here too as a distinctive national type of Christianity it perished before the growth of medieval Catholicism, and the name of Arian ceased to represent a definite form of Christian doctrine within the church, or a definite party outside it.
Gratz Brown governor; and in 1872 he presided over the Liberal Republican convention which nominated Horace Greeley for the presidency (Schurz's own choice was Charles Francis Adams or Lyman Trumbull) and which did not in its platform represent Schurz's views on the tariff, but Greeley's.
Great cruelty and perfidy were displayed in the suppression of the native rebellion, and some accounts represent him as personally tyrannical.
Hamilton, still keeping prominently before him as his great object the invention of a method applicable to space of three dimensions, proceeded to study the properties of triplets of the form x+iy+jz, by which he proposed to represent the directed line in space whose projections on the co-ordinate axes are x, y, z.
Having in 1804 been chosen to represent Liskeard, he was on the restoration of the Pitt ministry appointed secretary of the treasury, holding office till the dissolution of the ministry after the death of Pitt in January 1806.
He began his public career in 1910 when he was elected to the New York State Senate, being the first Democrat in 28 years to represent his district.
He continued to represent the borough, and the district into which it was merged by the Reform Act of 1885, until 1900, when his attitude towards the South African War - he was one of the foremost of the so-called "Pro-Boer" party - compelled his retirement.
He imagines all possible plans or hypotheses, not actually contradicted by our experience of familiar events, which will represent in an intelligible way the processes of astronomy and meteorology.
He represented that constituency until November 1885, when he was returned for the Brightside division of Sheffield, which he continued to represent until his death.
He used them to represent square roots, but only for particular numerical examples, and appears to have had no theory on the subject.
He was chosen by the General Court to represent the colony's interests in England, eluded officers sent to arrest him, 3 and in disguise boarded a ship on which he reached Weymouth on the 6th of May 1688.
He was constitutionally inaccurate, and seems to have been unable to represent the exact sense of a document which lay before him, or even to copy from it correctly.
He was sent to Berlin to represent the interests of the duchies there, and during his absence he was elected by Kiel as a delegate to the national parliament at Frankfort.
He was the first tenant farmer to represent a Scottish constituency, and was returned to parliament, unopposed, as Liberal member for the western division of Aberdeen in 1868.
He.d last seen his other trusted lieutenant, Iliana, two days ago, when he.d sent her to represent him in North America while he was away.
Hence the fallacy of those who, like Bosanquet, or like Paulsen in his Einleitung in die Philosophie, represent the realistic theory of inference as if it meant that knowledge starts from ideas and then infers that ideas are copies of things, and who then object, rightly enough, that we could not in that case compare the copy with the original, but only be able to infer from idea to idea.
Here both Cretaceous and Tertiary forms are found, and the Mondego beds seem to represent the passage between the.
His apparatus consists of a vacuum vessel containing a magnetic sphere-intended to represent the earth-and the phenomena are produced by sending electric discharges through the vessel.
His constructions are based on the idea that the imaginaries d - 1 represent a unit line, and its reverse, perpendicular to the line on which the real units 1 are measured.
His indices auctorum are, in some cases, the authorities which he has actually consulted (though in this respect they are not exhaustive); in other cases, they represent the principal writers on the subject, whose names are borrowed second-hand for his immediate authorities.
His subjects were ordered to worship him under the name of Zeus; he built a bridge of brass, over which he drove at full speed in his chariot to imitate thunder, the effect being heightened by dried skins and caldrons trailing behind, while torches were thrown into the air to represent lightning.
I want the people I represent to look as if they really belonged to their station, so that imagination cannot conceive of their ever being anything else.
I'm the only human they see most of the time, and I represent no harm to them.
If a i, a 2 represent the densities of the two infinite solids, their mutual attraction at distance z is per unit of area 21ra l a fZ '(z)dz, (30) or 27ra l 02 0(z), if we write f 4,(z)dz=0(z) (31) The work required to produce the separation in question is thus 2 7ru l a o 0 (z)dz; (32) and for the tension of a liquid of density a we have T = a f o 0 (z)dz.
If AB, AC represent infinitesimal rotations about intersecting axes, the consequent displacement of any point 0 in the plane BAC will be at right angles to this plane, and will be represented by twice the sum of the areas OAB, OAC, taken with proper signs.
If J', J" represent the values of the function for unit mass of the substance of specific volumes v' and v" in the two states at temperature 0 and pressure and if a mass m is in the state v', and 1-m in the.
If one single treatise of that century should be chosen to represent the spirit of the Italian people in the last phase of the Renaissance, the historian might hesitate between the Principe of Machiavelli and the Ricordi politici of Guicciardini.
If P represent the average value of the component of a force in the direction of the displacement, s, of its point of application, the product Ps measures the work done during the displacement.
If the configuration of d-saccharic acid were given by either 6 or To, bearing in mind the relation of mannose to glucose, it would then be necessary to represent d-mannosaccharic acid by either 7 or 8 - as the forms 6 and Io pass into 7 and 8 on changing the sign of a terminal group; but this cannot be done as mannosaccharic acid is optically active.
If the journals of accounts, the letters and business documents, had come down to us en masse, they would no doubt have yielded to research the history and life of Egypt day by day; but those that now represent a thousand years of the Old Kingdom and Middle Kingdom together would not half fill an ordinary muniment chest.
If there are no redundant members in the frame there will be only two members abutting at the point of support, for these two members will be sufficient to balance the reaction, whatever its direction may be; we can therefore draw two triangles, each having as one side the reaction YX, and having the two other sides parallel to these two members; each of these triangles will represent a polygon of forces in equilibrium at the point of support.
If this arrangement is expressed by a fraction, the numerator of which indicates the number of turns, and the denominator the number of internodes in the spiral cycle, the fraction will be found to represent the angle of divergence of the consecutive leaves on the axis.
If we next introduce a new function of f and write f .f 4(f) d f =Il (f), (23) then m m' II(f) will represent - (I) The work done by the attractive force on the particle m, while it is brought from an infinite distance from m' to the distance f from m'; or (2) The attraction of a particle m on a narrow straight rod resolved in the direction of the length of the rod, one extremity of the rod being at a distance f from m, and the other at an infinite distance, the mass of unit of length of the rod being m'.
If we use c 1 to represent the chord of the whole arc, c 2 the chord of half the arc, and c 4 the chord of one quarter of the arc, then corresponding to (i) and (iii) of § 70 or § 79 we have a (8c 2 - c i) and4 5 (256c 4 - 40c2+ci) as approximations to the length of the arc. The first of these is Huygens's rule.
In 1295 in addition to the county members, writs are found for two members to represent Bedford borough.
In 1809 President Madison sent Adams to Russia to represent the United States.
In 1831 he was elected to represent Haute Vienne in the chamber of deputies, and in 1839 he entered the chamber of peers.
In 1849, accordingly, he re-entered the service of Denmark, was appointed a royal chamberlain and in 1850 sent to represent the duchies of Schleswig and Holstein at the restored federal diet of Frankfort.
In 1864 he became assistant professor there, and in 1866 was chosen to represent Heidelberg in the Baden Chamber, but soon resigned.
In A, B, and C the thick black lines represent the soft tissues; the corallurn is dotted.
In accurate codices, indeed, all such additions, as well as the titles of the sura, &c., are written in coloured ink, while the black characters profess to represent exactly the original of Othman.
In actual practice, however, decimals only represent approximations, and the process has to be modified (§ 111).
In Anglo-Saxon c was adopted to represent the hard stop. After the Norman conquest many English words were re-spelt under Norman influence.
In Ankole and Koki rocks consisting of granular quartzite, schistose sandstone, red and brown sandstone, and shales with cleaved killas rest on the Archean platform and possibly represent the Lower Witwatersrand beds of the Transvaal.
In any case results deduced from the annual wave must be expected to vary in different years according to the distribution of the rainfall, as the values represent averages depending chiefly on the diffusion of heat by percolating water.
In any region of velocity where it is possible to represent p with sufficient accuracy by an empirical formula composed of a single power of v, say v m, the integration can be effected which replaces the summation in (to), (16), and (24); and from an analysis of the Krupp experiments Colonel Zabudski found the most appropriate index m in a region of velocity as given in the following table, and the corresponding value of gp, denoted by f (v)or v m lk or its equivalent Cr, where r is the retardation.
In Caucasus the women made a wooden block to represent Haman, which, on being discovered by the men on their return to the synagogue, was thrown into the fire.
In certain species of Gnetum described by Karsten the megaspore contains a peripheral layer of protoplasm, in which scattered nuclei represent the female reproductive cells; in Gnetum Gnemon a similar state of things exists in the upper half of the megaspore, while the lower half agrees with the megaspore of Welwitschia in being full of prothallus-tissue, which serves merely as a reservoir of food.
In English the use of the word score to represent twenty - e.g.
In fact, broadly speaking, the Sadducees for the period during which they are reported to exist, represent and embody the tendency to conformity with neighbouring Gentiles, which is deplored and denounced by Jewish writers from Moses to Philo.
In future the philosophic method of palaeontology must continue to advance step by step with exploration; it would be a reproach to later generations if they did not progress as far beyond the philosophic status of Cuvier, Owen and even of Huxley and Cope, as the new materials represent an advance upon the material opportunities which came to them through exploration.
In human history the East represents the spontaneous stage; the Pagan and Christian world represent stages of reflection.
In July 1887 bonds bearing interest (from January 1900) at 22% were issued to the amount of £443,000 to represent sums advanced to the founders of the state.
In most cases, however, these belong to the category of minor deities or represent old local gods assimilated to some more powerful god, who absorbed, as it were, the attributes and prerogatives of these minor ones.
In most or all nations of mankind, crossing or intermarriage of races has thus taken place between the conquering invader and the conquered native, so that the language spoken by the nation may represent the results of conquest as much or more than of ancestry.
In one of his appearances at Brussels his name is given as Isaac Laquedem, implying an imperfect knowledge of Hebrew in an attempt to represent Isaac " from of old."
In order to correct this equation for the deviations of the vapour from the ideal state at higher temperatures and pressures, the simplest method is to assume a modified equation of the Joule-Thomson type (Thermodynamics, equation (17)), which has been shown to represent satisfactorily the behaviour of other gases and vapours at moderate pressures.
In pursuance of this treaty, French officers were to represent their country at the court of the amir; while the amir on his part was represented in the three French coast towns, Oran, Arzeu and Mostaganem, by vakils who immediately began to act as masters of the natives.
In Setaria and allied genera the spikelet is subtended by an involucre of bristles or spines which represent sterile branches of the inflorescence.
In the alluvial deposits the associated minerals are chiefly those of great density and hardness, such as platinum, osmiridium and other metals of the platinum group, tinstone, chromic, magnetic and brown iron ores, diamond, ruby and sapphire, zircon, topaz, garnet, &c. which represent the more durable original constituents of the rocks whose distintegration has furnished the detritus.
In the autumn of 1909 it became known that Lord Selborne, whose services in bringing about the union were generally recognized, would not remain to represent the Crown in inau uratin the new form of government, and the choice g g g, of the British government fell on the home secretary, Mr Herbert Gladstone (who was in March 1910 created Viscount Gladstone of Lanark) as first governor-general of the Union.
In the case of lists and schedules the numbers are only ordinals; but in the case of mathematical or statistical tables they are usually regarded as cardinals,though, when they represent values of a continuous quantity, they must be regarded as ordinals (§§ 26, 93).
In the case of those elements in which we can represent the spectrum most completely by a number of series, it is generally.
In the controversy between Walter Travers and Richard Hooker he interposed by prohibiting the preaching cf the former; and he moreover presented Hooker with the rectory of Boscombe in Wiltshire, in order to afford him more leisure to complete his Ecclesiastical Polity, a work which, however, cannot be said to represent either Whitgift's theological or his ecclesiastical standpoint.
In the female the tubules of the epodphoron represent the main part, Pronephros.
In the history of the Renaissance, Spain and Portugal represent the exploration of the ocean and the colonization of the other Explora- hemisphere.
In the Malacostraca, the antennules are often biramous, but there is considerable doubt as to whether the two branches represent the endopodite and exopodite of the other limbs, and three branches are found in the Stomatopoda and in some Caridea.
In the Old Testament, " atonement," " make an atonement " represent the Hebrew kippur and its derivatives.
In the third mode A and D represent the ends and AD = P. 3 =1 and n 3 = U/A3 = 3U/2l = (3/21)¦(Tim) and so on.
In the upper, which may represent the city of Balanjar (Balansar, Belenjer), have been found gold and silver coins struck by Mongol rulers, as well as ornaments in the same metals.
In this alphabet the Greek letter p (or rather a very similar letter with the loop a little lower down) is used to represent sh, and there are some peculiarities in the use of o apparently connected with the expression of the sounds h and w.
In this direction pragmatism may ultimately lead to a number of metaphysics, each of which will represent a personal guess at a final synthesis of experience, while remaining essentially undogmatic and improvable.
In this figure the spaces between the double dotted lines (c g, i b) represent the down strokes, the single dotted line (h, i) representing the up stroke.
In this he contends that only the Epistles to the Galatians, Corinthians and Romans are genuinely Pauline, and that the Paul of Acts is a different person from the Paul of these genuine Epistles, the author being a Paulinist who, with an eye to the different parties in the Church, is at pains to represent Peter as far as possible as a Paulinist and Paul as far as possible as a Petrinist.
It contains large mosaics of the 12th century, strongly under Byzantine influence; those on the west wall represent the Resurrection and Last Judgment.
It follows from this property of the function that we cannot have for log x a series which shall be convergent for all values of x, as is the case with sin x and cos x, for such a series could only represent a uniform function, and in fact the equation log(I +x) =x -",, x2 +3x 3 -4x 4 + is true only when the analytical modulus of x is less than unity.
It had, moreover, by the compact with Hungary of 1867, ceased even fully to represent the relation of the emperor to all his dominions; and the title which had been devised to cover the whole of the Habsburg monarchy sank into the official style of the sovereign of but a half; while even within the Austrian empire proper it is resented by those peoples which, like the Bohemians, wish to obtain the same recognition of their national independence as was conceded to Hungary.
It has been recognized, however, that it is impossible to actually reproduce the character of the European wines, and it is now generally held to be desirable to recognize the fact that Australian and Cape wines represent distinct types, and to sell them as such without any reference to the European parent types from which they have been derived.
It has been suggested that transfusion-tracheids represent, in part at least, the centripetal xylem, which forms a distinctive feature of cycadean leaf-bundles; these short tracheids form conspicuous groups laterally attached to the veins in Cunninghamia, abundantly represented in a similar position in the leaves of Sequoia, and scattered through the so-called pericycle in Pinus, Picea, &c. It is of interest to note the occurrence of precisely similar elements in the mesophyll of Lepidodendron leaves.
It has been urged that these brown peoples sprang from one stock with the Malays and the Malagasy of Madagascar; and that they represent this parent stock better than the Malays who have been much modified by crossings.
It has been usual to represent him as a mere boy at this time, but of late years various considerations have been pointed out which make it more likely that he was a young_ man.
It is clear, therefore, that the best alphabet would not long indicate very precisely the sounds which it was intended to represent.
It is commonly though not universally held that the difference between the white and yellow stars arises from their stages of development merely, and that the former represent the earlier stage.
It is impossible, whilst watching the rolling, seething volume of flood-water which swirls westwards in April, to imagine the waste stretches of dry river-bed which in a few months' time (when every available drop of water is carried off for irrigation) will represent the Hari Rud.
It is known as the Mass Tower and contains a niche in which is a small effigy believed to represent the founder, who also endowed the grammar school which is still in existence.
It is now generally agreed that Adonis is a vegetation spirit, whose death and return to life represent the decay of nature in winter and its revival in spring.
It is now generally recognized in histories of the Old Testament that a proper estimate of Solomon's reign cannot start from narratives which represent the views of Deuteronomic writers, although, in so far as late narratives may rest upon older material more in accordance with the circumstances of their age, attempts are made to present reconstructions from a combination of various elements.
It is plain that we have here a somewhat crude attempt of the Prophet to represent to himself the more or less unconscious process by which his ideas arose and gradually took shape in his mind.
It is possible that the picture does not represent Egyptian glass-blowers, but is a traveller's record of the process of glass-blowing seen in some foreign or subject country.
It is uncertain whether the conventional fleur-de-lis was originally meant to represent the lily or white iris - the flower-de-luce of Shakespeare - or an arrow-head, a spear-head, an amulet fastened on date-palms to ward off the evil eye, &c. In Roman and early Gothic architecture the fleur-de-lis is a frequent sculptured ornament.
It is usual to take three axes at right angles to each other to represent pressure, temperature and the composition of the variable phase..
It is, however, not improbable that the series may represent more than one geological system.
It is, on the other hand, a danger in the opposite sense to conclude that all Chantransia species are stages in the life-cycle of other plants, and, similarly, that all irregular colonial forms, like Palmella, represent phases in the life of other Green Algae.
It seems rather to represent a later and modified Essene Christianity, already half-Catholic, such as would suit a date after 250, in keeping with Eusebius's evidence.
It was decided that the meeting should take place at Constance; and Chrysoloras was on his way thither, having been chosen to represent the Greek Church, when he died suddenly on the 15th of April 1415.
It was in the recess in the back wall of this hall that the famous Peacock Throne used to stand, "so called from its having the figures of two peacocks standing behind it, their tails being expanded and the whole so inlaid with sapphires, rubies, emeralds, pearls and other precious stones of appropriate colours as to represent life."
It was reserved for Dr Benrath to justify him, and to represent him as a fervent evangelist and at the same time as a speculative thinker with a passion for free inquiry.
It will be observed that these make no claim to apostolic authorship; but otherwise their origin is like that of the rest, unless indeed, as has been suggested, they represent the work of an actual Roman synod.
It would be possible to regard this form of the figure as the general one; the figure considered in (i) would then represent the special case in which the two end-pieces of the broken line are at right angles to the base.
Its object was to exhibit by means of certain formulas the way in which the products of agriculture, which is the only source of wealth, would in a state of perfect liberty be distributed among the several classes of the community (namely, the productive classes of the proprietors and cultivators of land, and the unproductive class composed of manufacturers and merchants), and to represent by other formulas the modes of distribution which take place under systems of Governmental restraint and regulation, with the evil results arising to the whole society from different degrees of such violations of the natural order.
Its sanction is required for all territorial changes, for the alienation of state property, for the granting of concessions, for the contracting of loans, for the construction of roads and railways, for the ratification of treaties, &c. There was to be a senate of 60 members of whom 3d were to be appointed to represent the shah and 30 to be elected on behalf of the national council, 15 of each class being from Teheran and 15 from the provinces (the senate, however, was not immediately formed).
Ixion is generally taken to represent the eternally moving sun.
Larmor and many others, the electronic hypothesis of matter and of electricity has been developed in great detail and may be said to represent the outcome of modern researches upon electrical phenomena.
Let A be any origin, and let Ac represent the acceleration of the b point C, Ct the radial acceleration of B about C which must be in a direction parallel to BC, and tb the tan gential acceleration of B about C, C
Let a represent the area of the section of a piston made by a plane perpendicular to its direction of motion, and v its velocity, which is to be considered as positive when outward, and negative when inward.
Let it be supposed that two positive lenses of equal curvature powers are made out of these two glasses, then in order to represent the combined dispersion of the two together the two 0µ's for each spectral region may be added together to form 0'µ as in the line below, and then, on again expressing the partial z'µ in terms of L'µ (C to F) we get the new figures in the bottom row beneath the asterisks.
Let u represent the volume of air in the cup before the body was inserted, v the volume of the body, a the area of the horizontal FIG.
Limestones and marls represent the stages Cenomanian to Upper Senonian.
Lord Russells decision, however, seemed to indicate some latent sympath,y for the Southern cause; and the irritation which was felt in the North was increaned by the news that the Southern Stfltes were accrediting two gentlemen to represent them at Paris and at London.
Many complicated expressions have been suggested by subsequent writers in the attempt to represent the continuity of the gaseous and liquid states in a single formula, but these are of a highly empirical nature, and beyond the scope of the present inquiry.
Many motives have worked to bring these legends into their present form, and while they depict the character of Israel's wilder neighbours, they represent the recurrent alternating periods of hostility and fellowship between it and Edom which mark the history.
Marat had seen that England was at this time being ruled by an oligarchy using the forms of liberty, which, while pretending to represent the country, was really being gradually mastered by the royal power.
Mather's worth has been under-estimated by Josiah Quincy, Justin Winsor and other historians out of sympathy with his ecclesiastical spirit, who represent him as only an ambitious narrow-minded schemer.
Metallic products represent about three-fourths of the total, but the feature of recent years has been the rising importance of hydrocarbons and gases, and of structural materials, and indeed of non-metallic products generally.
Middle and Late Egyptian.These represent the vulgar speech of the Middle and New Kingdoms respectively.
My Council desire to represent that the methods now being adopted are fraught with grave public danger.
Narrowing of the posterior portions of the spider's cephalothorax and sometimes of the anterior end of the abdomen reproduces the slender waist of the ant, and frequently transverse bands of hairs represent the segmentation of this region in the insect.
No person not of full age, imperfectly educated, stupid, blind, deaf, deformed or otherwise defective in mind or body, or for any reason whatsoever unfit to discharge the duties or unworthy to represent the manhood of the nation, could be king, even though he were the eldest son of the preceding king.
No sooner were the wars of religion over than the French again set about making good their claim to Canada, and to whatever they could represent as arising naturally out of Canada.
No unconformity, however, has yet been detected anywhere in the sandstone series, and in the absence of fossils the upper sandstone may represent any period from the Carboniferous to the Cretaceous.
Notwithstanding all this they still represent from two-thirds to three-fourths of the actual population of Ecuador.
Nutria also is prepared to represent sealskin, and in its natural colour, after the long hairs are plucked out, it is sold as otter or beaver.
Obliged by their constitution to regard equally the material interests of all classes for they represent rich and poor, peasants and artisansthey were the natural support of the government when it attempted to find a compromise between the clamour of opposing interests.
Of the foreign-born 4504 were ' Statistics for 1890 represent the value of all manufactures; those for 1900 (from this point) and 1905 show values under the factory system, excluding neighbourhood industries and hand trades.
Of these the latter, who separated from the Roman communion after the promulgation of the dogma of papal infallibility, represent a pure revolt of the system of Episcopacy against that of Papalism.
Old legends represent him as having exterminated the Picts to the last man; and the Picts become, hi popular tradition, a mythical folk, hardly human, to whom great feats, including the building of Glasgow cathedral, are attributed, as the walls of Tiryns and Mycenae in Greece were traditionally assigned to the energy of the Cyclopes.
On every night of the year there are a great number of these radiants in action, but the large majority represent very attenuated showers.
On the 30th of September 1693 Millington wrote to Pepys that he had been to look for Newton some time before, but that " he was out of town, and since," he says, " I have not seen him, till upon the 28th I met him at Huntingdon, where, upon his own accord, and before I had time to ask him any question, he told me that he had writt to you a very odd letter, at which he was much concerned; added, that it was in a distemper that much seized his head, and that kept him awake for above five nights together, which upon occasion he desired I would represent to you, and beg your pardon, he being very much ashamed he should be so rude to a person for whom he hath so great an honour.
On the other hand, this new series is not continuous; for we know that there are some points on the line which represent surds and other irrational numbers, and these numbers are not contained in our series.
On the Sunday following, Mary left Edinburgh for Seton Palace, 12 miles from the capital, where scandal asserted that she passed the time merrily in shooting-matches with Bothwell for her partner against Lords Seton and Huntly; other accounts represent Huntly and Bothwell as left at Holyrood in charge of the infant prince.
One characteristic of the 14th and 15th centuries in Verona was the custom, also followed in other Lombardic cities, of setting large equestrian statues over the tombs of powerful military leaders, in some cases above the recumbent effigy of the dead man, as if to represent him in full vigour of life as well as in death.
One party was led by Disraeli, who was supposed to represent the traditional policy of England of maintaining the rule of the Turk at all hazards; the other, inspired by the example of Gladstone, was resolved at all costs to terminate oppression, but was at the same time distrusted as indirectly assisting the ambitious views by which the Eastern policy of Russia had always been animated.
Opposed to them is the coalition of the orthodox Protestant conservatives, styled antirevolutionaries, supported by the Calvinistic peasantry, and the Catholics, who represent about one-third of the population and have their headquarters in Dutch Brabant, Dutch Flanders and Limburg.
Or to put it more exactly, the "Apostolic Fathers" represent, chronologically in the main and still more from the religious and theological standpoint, the momentous process of 1 Cotelier included the Acts of Martyrdom of Clement, Ignatius and Polycarp; and those of Ignatius and Polycarp are still often printed by editors.
Oscan, in order to represent D, introduced later a form SJ, thus creating confusion between the symbols for d and for r.
Parallel Projections of Systems of Forces.If a balanced system of forces be represented by a system of lines, then will every parallel projection of that system of lines represent a balanced system of forces.
Percussionfigures, readily made on the cleavage-faces, have rays parallel to faces of the rhombic dodecahedron; whilst figures etched with water represent the four-faced cube.
Peterwardein, the "Gibraltar of Hungary," is believed to represent the Roman Acumincum, and received its present name from Peter the Hermit, who here in 1096 marshalled the levies of the first crusade.
Political parties now came to represent interests rather than principles.
Previously to Hoek's discovery a brown-coloured investment of the auricles of the heart of the oyster had been supposed to represent the nephridia in a rudimentary state.
Probably, at least half of these represent Australians, impelled to emigrate by years of drought.
Recent discoveries, however, point to a different conclusion, and indicate that the Gawain stories represent an early tradition, and that we must seek in them rather than in the Perceval versions for indications as to the ultimate origin of the Grail.
Reynolds, in his investigation, introducing no new form of law of distribution of velocities, uses a linear quantity, proportional to the mean free path of the gaseous molecules, which he takes to represent (somewhat roughly) the average distance from which molecules directly affect, by their convection, the state of the medium; the gas not being uniform on account of the gradient of temperature, the change going on at each point is calculated from the elements contributed by the parts at this particular distance in all directions.
Rhampsinitus, the predecessor of Cheops, appears to represent Rameses III.
Salomon Reinach, guided by the analogy of similar practices among the aborigines of Australia, and noticing that these primitive pictures represent none but animals that formed the staple food of the age and place, and that they are usually found in the deepest and darkest recesses of the caves where they could only be drawn and seen by torchlight, has argued that they were not intended for artistic gratification (a late motive in human art), but were magical representations destined to influence and perhaps attract the hunter's quarry.
Sent to the Rigsforsamling of 1848 as member for the first district of Copenhagen, a constituency he continued to represent in the Folketing till 1881, he immediately took his place in the front rank of Danish politicians.
Shares that at first represented so many dollars per foot in a tangible mine were multiplied and remultiplied until they came to represent paper thicknesses or almost nothing, yet still their prices mounted upward.
Since the nodes are always at rest we may represent the vibration of a given string by the length between any two nodes.
So far as public ceremonies were concerned, the prince and princess of Wales were now coming forward more and more to represent the royal family.
So far we have tended to represent the activity of the sacred as that of a universal force, somewhat in the style of our " electricity" or " mind.
So unfavourable were the conditions of 18th-century music for the formation of a good ecclesiastical style that only a very small proportion of Mozart's and Haydn's Mass music may be said to represent their ideas of religious music at all.
Some represent natural groups and had in several cases been already recognized by Ray and others, but the majority are, in the light of modern knowledge, very mixed.
Something of the imposing unity of his work was also, no doubt, due to an extraordinary power of memory, which enabled Millet to paint (like Horace Vernet) without a model; he could recall with precision the smallest details of attitudes or gestures which he proposed to represent.
South of the supposed plain of Gennesareth is Mejdel, commonly supposed to represent the New Testament town of Magdala.
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.
Taking the squares of the amplitude to represent the intensity or loudness of the sound which would be heard by an ear at the point, this is 4a 2 cos t ir(ni - n2)t =2a 2 {1 -cos 27r(n l - n2)t}, a value which ranges between o and 4a 2 with frequency .n1 - n2.
That the alphabet was borrowed and adapted independently by different places not widely separated, and that the earliest Greek alphabets did not spread from one or a few centres in Greek lands, seem clear (a) from the different Greek sounds for which the Phoenician symbols were utilized; (b) from the different symbols which were employed to represent sounds which the Phoenicians did not possess, and for which, therefore, they had no symbols.
That the religious life of Israel as portrayed therein dates from this remote period cannot be maintained against the results of excavation or against the later history, nor can we picture a united people in the desert when subsequent vicissitudes represent the union as the work of many years, and show that it lasted for a short time only under David and Solomon.
The abscissae represent intervals of time, the ordinates the measured lengths of the growing filament.
The Aegyptus sive de providentia is an allegory in which the good Osiris and the evil Typhon, who represent Aurelian and the Goth Gainas (ministers under Arcadius), strive for mastery; and the question of the divine permission of evil is handled.
The alternate delay and acceleration of the eclipses are then merely apparent; they represent the changes in the length of the light-journey as the stars perform their wide circuit.
The analytical equations which represent the propagation of light in free aether, and also in aether modified by the presence of matter, were originally developed on the analogy of the equations of propagation of elastic effects in solid media.
The Arabian geographers represent the Tharthar as connected at its upper end (by a canal?) with the Khabur system.
The area of yellow pine forests (the stand is estimated at 67,568.5 million ft.), and the lesser one of hardwood, together with considerable softwood, represent lumber-producing possibilities of much economic importance.
The assembly chose a board of Twelve Men to represent it, and a few months later this board demanded certain reforms, especially that the membership of the director-general's council should be increased from one to five by the popular election of four members.
The book, which is post-exilic, may therefore be grouped with another Midrash, the Book of Ruth, which also appears to represent a current of thought opposed to the exclusive spirit of Jewish legalism.
The borough returned a member only to the parliament of 1658; its elected member, Secretary Thurloe, chose then to represent another constituency.
The broad dark lines represent the leaves, and they are numbered according to their age and position.
The carved totem posts of the Haida, standing in front of the heavily framed houses, or at a little distance from them, represent the coats of arms of the respective families of the tribes and generally exhibit designs treated in a bold and original manner, highly conventionalized but always recognizable in their purport by any one familiar with the distinctive marks of the animal forms portrayed.
The cherub-images, where such occur, represent to the imagination the supernatural bearers of Yahweh's throne or chariot, or the guardians of His abode; the cherub-carvings at least symbolize His presence, and communicate some degree of His sanctity.
The city is still surrounded by walls, dating from shortly after the siege of 1302-06; while two inner lines of streets represent two earlier and inner lines of wall.
The claim of the Lancastrians to represent loyalty soon grew almost as hollow.
The colossi known to the Greeks by the name of the Homeric hero Memnon, which look over the western plain of Thebes, represent this king and were placed before the entrance of his funerary temple, the rest of which has disappeared.
The compound eyes of insects resemble so closely the similar organs in Crustaceans that there can hardly be reasonable doubt of their homology, and the primitively appendicular nature of the eyes in the latter class suggests that in the Hexapoda also they represent the appendages of an anterior (protocerebral) segment.
The corresponding solid figure, in its most general form, is such as would be constructed to represent the relation of a magnitude E to two magnitudes F and G of which it is a function; it would stand on a plane base, and be comprised within a cylindrical boundary whose cross-section might be of any shape.
The crumpled bands mark the bedding, and the fine perpendicular striae in front are the cleavage planes; the fine lines on the darkened side merely represent shadow, and must not be taken for planes of division in the rock.
The curious carvings and ramparts, at Burghead on the coast of Elgin, and the underground stone houses locally called "wheems," in which Roman fragments have been found, may represent the native forms of dwelling, &c., and some of the "Late Celtic" metal-work may belong to this age.
The dark portions represent supporting and conducting tissue; the upper face bears furrows, at the bottom of each of which are seen the motor cells m.
The De Interpretatione opens with a reference to this psychological distinction, implying that names represent conceptions, propositions represent combinations of conceptions.
The degree of accuracy in such anatomical and physiographic restorations from relatively imperfect evidence will always represent the state of the science and the degree of its approach toward being exact or complete.
The delegation of the franchise to the liverymen was thus, in point of fact, the selection of a superior class of householders to represent the rest.
The deputies are chosen to represent 15,000 to 30,000 population each, but every province must have at least one deputy.
The development is based on the necessity of being able to represent geometrical magnitude by arithmetical magnitude; and it may be regarded as consisting of three stages.
The diagonal AD of the parallelogram, of which AB and AC are adjacent sides, will represent, both in direction and magnitude, the motion of the rain as apparent to the observer.
The Dialogues introduce three interlocutors, Demea, Cleanthes and Philo, who represent three distinct orders of theological opinion.
The diamond pipes probably represent some of the most recent rocks of the Transvaal.
The Didache bids us " pour water on the head," and Christian pictures and sculptures ranging from the 1st to the 10th century represent the baptizand as standing in the water, while the baptizer pours water from his hand or from a bowl over his head.
The division into five books was known to Hippolytus, but a closer examination of the doxologies shows that it does not represent the original scheme of the Psalter; for, while the doxologies to the first three books are no part of the psalms to which they are attached, but really mark the end of a book in a pious fashion not uncommon in Eastern literature, that to book IV., with its rubric addressed to the people, plainly belongs to the psalm, or rather to its liturgical execution, and does not therefore really mark the close of a collection once separate.
The division is in many respects convenient for descriptive purposes, but recent researches show that it does not accurately represent the relationships of the different families.
The documents written by natives in later times thus more or less represent real records of the past, but the task of separating myth from history is of the utmost difficulty.
The earliest recorded images of Hera preceded the rise of Greek sculpture; a log at Thespiae, a plank at Samos, a pillar at Argos served to represent the goddess.
The eastern shores of the Aegean, which the earliest historical records represent to us as the seat of a brilliant civilization, giving way before the advance of the great military empires (Lydia and afterwards Persia), are almost a blank in Homer's map. The line of settlements can be traced in the Catalogue from Crete to Rhodes, and embraces the neighbouring islands of Cos and Calymnos.
The Episcopal Church of Scotland, which is in communion with the Church of England, claims to represent the ancient Catholic Church of the country.
The failure to observe the distinction between an identity and an equality often leads to loose reasoning; and in order to prevent this it is important that definite meanings should be attached to all symbols of operation, and especially to those which represent elementary operations.
The fifth and sixth definitions represent the close of the 5th century, when sophistry handled eristically, and perhaps, though Plato demurs to the inclusion, dialectically, questions of justice, injustice and the like, Su
The first four definitions represent the period of Protagoras, Prodicus, and their immediate successors, when the object sought was " virtue," " excellence," " culture," and the means to it was literature.
The first post-Darwinian systematists naturally and without reflexion accepted of' the idea that existing simpler forms represent stages i n the gradual progress of development - are in fact survivors from past ages which have retained the exact grade of development which their ancestors had reached in past ages.
The five books of Moses are made to represent the five senses.
The former, of which the three published volumes relate wholly to ancient music, and thus represent a mere fragment of the author's vast plan, exhibits immense reading and industry, but is written in a dry and unattractive style, and is overloaded with matter which cannot be regarded as historical.
The four species - Ectocarpus siliculosus, Giffordia secunda, Cutleria multifida and Haplospora globosa - may be taken to represent, within the Phaeosporeae, successive steps in the advance from isogamy to oogamy.
The fragments in Origen represent Jacob as speaking and claiming to be "the first servant in God's presence," "the first-begotten of every creature animated by God," and declaring that the angel who wrestled with Jacob (and was identified by Christians with Christ) was only eighth in rank.
The front occupied by the invaders at the end of June was indeed for all practical purposes to represent the line that was to be held up to the night of Jan.
The fundamental mode is that in which A and B represent the ends of the string.
The fundamental mode is that in which H and K represent the ends of the pipe.
The glands of Bartholin are two oval bodies about half an inch long, lying on each side of the vagina close to its opening; they represent Cowper's glands in the male, and their ducts open by minute orifices between the hymen and the labia minora.
The governing council, which had been organized to represent him in Germany, fell rapidly into disrepute, and exercised no restraining influence on those princes who might desire to act on Luther's theory that the civil government was supreme in matters of Church reform.
The greater poets who represent this type are Robert Henryson, William Dunbar, Gavin Douglas, and, to a large extent, Sir David Lyndsay - whose united genius has given high literary reputation to the so-called Golden Age.
The Greek aspirates were not the sounds which we represent by ph, th, ch (Scotch), but corresponded rather to the sound of the final consonants in such words as lip, bit, lick, the breath being audible after the formation of the consonant.
The guardian angels of the nations in Daniel probably represent the gods of the heathen, and we have there the first step of the process by which these gods became evil angels, an idea expanded by Milton in Paradise Lost.
The harbour docks and adjacent railways (which exceed 20 m.) are owned and administered by a harbour trust of 26 members, of whom one is the owner of the Briton Ferry estate (Earl Jersey), 4 represent the lord of the seigniory of Gower (the duke of Beaufort), 12 are proprietary members and 9 are elected annually by the corporation of Swansea.
The Haringhata, Baleswar, Madhumati and Garai are various local names for the same river in different parts of its course and represent another great offshoot of the Ganges.
The head is large, the neck slender, the antennae short and the legs longish, and the appearance of the long stalk-like waist of the ant is produced by a patch of whitish hair on each side of the forepart of the abdomen which has the effect of cutting away the parts of the segments so covered, leaving a narrow dark-coloured median area to represent the waist.
The hotel de Tulle, which dated from the earlier half of the 16th century, was restored in 1846, and since then statues have also been added to represent those that formerly ornamented the facade.
The imports represent a great variety of food stuffs and manufactured articles.
The Indians are remnant of a large number of tribes, most of which are aboriginal to this egion, and they represent ten or more distinct linguistic stocks.
The inference that these tribes represent the stage of culture before the invention of pottery is confirmed by the absence of buried fragments of pottery in the districts they inhabit.
The instantaneous centre of CD will be at the intersection of AD, BC, and if CD be drawn parallel to CD, the lines CC, DD may be taken to represent the virtual velocities of C, D turned each through B a right angle.
The Irminsul was a wooden pillar erected to represent the world-sustaining ash Yggdrasil, and was the centre of the worship of the whole Saxon people.
The island imports wines, spirits, tissues, clothing and ironmongery; and exports ores, nickel, cobalt and chrome (which represent over three-quarters of the total exports in value), preserved meats and hides, coffee, copra and other colonial produce.
The John and Paul are conceived and executed really in the great style, with a commanding nobility and force alike in the character of the heads, the attitudes, and the sweep of draperies; they represent the highest achievement of early German art in painting.
The landowners had either to build a house within it for their own inhabiting, or to provide that a competent substitute dwelt there to represent them.
The Landtag of one chamber consists of fifteen members, three of whom represent Prymont, elected indirectly for three years.
The last of these kings was Shah Mahommed, who died in the middle of the 15th century, leaving only his married daughters to represent the royal line.
The late Sir Benjamin Baker, F.R.S., suggested that the stresses might be measured by experiments with elastic models, and among others, experiments were carried out by Messrs Wilson and Gore a with indiarubber models of plane sections of dams (including the foundations) who applied forces to represent the gravity and water pressures in such a manner that the virtual density of the rubber was increased many times without interfering with the proper ratio between gravity and water pressure, and by this means the strains produced were of sufficient magnitude to be easily measured.
The later stages represent not the spontaneous development of the genuine Roman religion, but its alteration and supersession by new cults and ideas introduced from foreign sources.
The later Targums and the Talmuds represent him as a typical sinner; and there are the usual worthless Rabbinical fables, e.g.
The Latin alphabet is used, with special signs to represent sounds borrowed from Slavonic, &c. All the unaccented vowels except e are pronounced as in Italian; e has the same phonetic value as in Old Slavonic (=French e) and is often similarly preiotized (= ye in yet), notably at the beginning of all words except neologisms. The accented vowels é and ó are pronounced as ea and oa (petra, rock, = peatra; morte, death, = moarte); they are written in full, as diphthongs, at the end of a word and sometimes in other positions.
The latter passage, however, can hardly represent the conclusion of the interview, which is found more naturally in xxxiii.
The leading features of this fine instrument represent those of all Grubb's large telescopes.
The length of time for which the holding should last came to be specified, at first for a term of years and then for life, and some payment to the grantor was provided for, not pretending to represent the economic value of the land, but only to serve as a mark of his continued ownership.
The lines in the diagram represent the directions of a series of forces which must all be in equilibrium; these lines may, for an object to be explained in the next paragraph, be conveniently named by the letters in the spaces which they separate instead of by the method usually employed in geometry.
The Mahommedan writer Alberuni states that in former times the kings of the Hindus (among whom he mentions Kanik or Kanishka) were Turks by race, and this may represent a native tradition as to the affinities of the Yue-Chi.
The medieval-looking group of government buildings situated in the Binnenhof (or "inner court"), their backs reflected in the pretty sheet of water called the Vyver, represent both historically and topographically the centre of the Hague.
The members of these institutions do not represent the ecclesiastical deaconesses, however, since they are not ministers set apart by the Church; and the sisterhoods are merely voluntary associations of women banded together for spiritual fellowship and common service.
The middle element alone contributes without deduction; the effect of every other must be found by introduction of a resolving factor, equal to cos 0, if 0 represent the difference of phase between this element and the resultant.
The middle of the string is a loop. In the next mode A and C represent the ends and AC = X = and n 2 = U/A 2 = 2U/2/ = (2/21) A / (T/m).
The ministers represent departments for finance, foreign affairs, colonies, justice, the interior, science and arts, war, railways, posts and telegraphs, agriculture, public works, and industry and labour.
The ministry of enthusiasm which they represent is about to give way to the ministry of office, a transition which is reflected in the New Testament in the 3rd Epistle of John.
The modern hall that is now used for the meetings of the town council is decorated by two paintings of the Bohemian artist Wenceslaus Brozik, which represent Hus before the council of Constance, and the election of George of Podebrad as king of Bohemia.
The most important theoretical question concerning the Amphineura is how far do they represent the original condition of the ancestral mollusc?
The motion of a jet impinging on an infinite barrier is obtained by putting j = a, j' = a'; duplicated on the other side of the barrier, the motion reversed will represent the direct collision of two jets of unequal breadth and equal velocity.
The mounds of ruins on the road to Mazar-iSharif probably represent the site of a city yet older than those on which stands the modern Balkh.
The n formulae of this type represent a normal mode of free vibration; the individual particles revolve as a rule in elliptic orbits which gradually contract according to the law indicated by the exponential factor.
The name Brahui is (according to Bellew) but a corruption of Ba-rohi (or " hillmen ") in a language derived from Sanskrit which would represent the same term by Parva-ka.
The name of the city was taken from that of the river, which in turn is supposed to represent a corruption by the French of the original Indian name, Moingona, - the French at first using the abbreviation "moire," and calling the river "la riviere des moires" and then, the name having become associated with the Trappist monks, changing it into "la riviere des moines."
The natives may represent a population of about 45,000.
The number of scholars, called King's Scholars, on the foundation is 60, of which 40, who are boarders, represent the original number.
The number of species in the genus is from fifty to seventy, according to the view taken as to whether or not some of the forms, especially of those occurring in the United States, represent distinct species.
The numbers (integral or decimal) by which we represent the results of arithmetical operations are often only approximately correct.
The objection raised against these establishments is that the prisoners do not represent the real vagabondage of the country, but a class of more or less voluntary inmates.
The oldest secession from the Orthodox Church is that of the Remonstrants, who still represent the most liberal thought in the country, and have their own training college at Leiden.
The opportunities for cheating in the fur trade are very considerable, and most serious frauds have been perpetrated in the selling of sables that have been coloured or "topped"; that is, just the tips of the hairs stained dark to represent more expensive skins.
The pale is now generally considered to represent the single bracteole, characteristic of Monocotyledons, the binerved structure being the result of the pressure of the axis of the spikelet during the development of the pale, as in Iris and others.
The people represent various races.
The phenomena of equilibrium can be represented on diagrams. Thus, if we take our co-ordinates to represent pressure and temperature, the state of the systems p with ice, water and vapour in equilibrium is represented by the point 0 where the pressure is that of the vapour of water at the freezing point and the temperature is the freezing point under that pressure.
The portions which may represent discourses of Jotham's reign are chap. ii.
The present badges of the orders represent the crosses that the knights wore on their mantles.
The previous treatment of the motion of a rigid body had in every case been purely analytical, and so gave no aid to the formation of a mental picture of the body's motion; and the great value of this work lies in the fact that, as Poinsot himself says in the introduction, it enables us to represent to ourselves the motion of a rigid body as clearly as that of a moving point.
The prices quoted are subject to constant fluctuation and represent purely trade prices for bulk, and it should be explained that the very great variations are due to different sizes, qualities and colours, and moreover are only first cost, before skins are dressed and prepared.
The problem is whether we can represent the facts more simply by supposing the intervening space to be occupied by a medium which transmits physical actions, after the manner that a continuous material medium, solid or liquid, transmits mechanical disturbance.
The question N as only settled in 1894, when a bill was passed fixing the number of the members of the Riksdag in the First Chamber at 150, and in the Second at 230, of which 150 should represent the country districts and 80 the towns.
The reefs were left untouched till 1897, when an American company, which had obtained a concession in Phyong-an Do in 1895, introduced the latest mining appliances, and raised the declared export of 1898 to 240,047 pounds, believed to represent a yield for that year of 600,000 pounds.
The release of the Denshawai prisoners in January 1908 and the death of Mustafa Kamel in the following month had a quieting effect on the public mind; while the fact that in the elections (December 1907) for the legislative council and the general assembly only 5% of the electors went to the polls, afforded a striking commentary alike on the appreciation of the average Egyptian of the value of parliamentafy institutions and of the claims of the Nationalist members of the assembly to represent the Egyptian people.
The rift-valley faults continue down the depression, marked by numerous volcanoes, in the region of the Natron Lake and Lake Manyara; while the steep walls of the deep depression of Tanganyika and Nyasa represent the western rift system at its maximum development..
The ruins at Ulan Rob At, supposed to represent the city Arachosia, are in its basin; and the lake known as Ab-i-Istada, the most probable representative of Lake Arachotus, is near the head of the Tarnak, though not communicating with it.
The second line in E2 will represent the energy (or part of the energy) of s' similar molecules of the second kind, and so on.
The secretary may represent the governor in his absence.
The seven series of Monocotyledons represent a sequence beginning with the most complicated epigynous orders, such as Orchideae and Scitamineae, and passing through the petaloid hypogynous orders (series Coronarieae) of which Liliaceae is the representative to Juncaceae and the palms (series Calycinae) where the perianth Ioses its petaloid character and thence to the Aroids, screw-pines and albuminous Dicotyledons the cotyledons act as the absorbents of the reserve-food of the seed and are commonly brought above ground (epigeal), either withdrawn from the seed-coat or carrying it upon them, and then they serve as the first green organs of the plant.
The shaded rectangles represent the distribution of shear due to the load at C, while no may be termed the datum line of shear.
The somatic cells represent communities or republics, as it were, which we name organs and tissues, but each cell possesses a certain autonomy and independence of action, and exhibits phenomena which are indicative of vitality.
The species of Linnaeus were supposed to represent a series of steps in a scale of ascending complexity, and it was thought possible thus to arrange the animal kingdom in a single series - the orders within the classes succeeding one another in regular gradation, and the classes succeeding one another in a similar rectilinear progression.
The standard set up by eminent statisticians, therefore, may be taken to represent an ideal, not likely to be attained anywhere under present conditions, but towards which each successive census may be expected to advance.
The stippled areas represent the ore shoots and the white areas the barren portions of the lode.
The struggle for religious freedom has suffered no intermission since the beginning of the Reformation; and the result is that to-day its recognition is considered one of the most precious trophies won in the evolution of modern civilization; nor can these changes be reversed, for they stand in the closest connexion and reciprocity one with another, and represent the fruits of centuries of co-operation on the part of the European peoples.
The symbol generally adopted to represent these functions is J am.
The Taranchis from East Turkestan represent about 40 of the population; about 40,000 of them left Kulja when the Russian troops evacuated the territory, and the Chinese government sent some 8000 families from different towns of Kashgaria to take their place.
The tendency observable in many of the austerities and miracles attributed to St Catherine to outstrip those of other saints, particularly Francis, is especially remarkable in this marvel of the stigmata, and so acute became the rivalry between the two orders that Pope Sixtus IV., himself a Franciscan, issued a decree asserting that St Francis had an exclusive monopoly of this particular wonder, and making it a censurable offence to represent St Catherine receiving the stigmata.
The term "deism" not only is used to signify the main body of the deists' teaching, or the tendency they represent, but has come into use as a technical term for one specific metaphysical doctrine as to the relation of God to the universe, assumed to have been characteristic of the deists, and to have distinguished them from atheists, pantheists and theists, - the belief, namely, that the first cause of the universe is a personal God, who is, however, not only distinct from the world but apart from it and its concerns.
The terraces represent the out-cropping edges of hard sandstone layers included in the series of plateau sediments, and are named according to the colour of the rock exposed in the south-facing escarpments, the Pink Cliffs (highest), White Cliffs and Vermilion Cliffs.
The total production from 1870 to 1908 was 20,683,974 tons, or allowing for coal lost, about 31,000,000 tons, which is estimated to represent 0.016% of the original supply.
The traditions of early Rome indeed represent the patricians as receiving the Claudii by a collective act into their body; but the first authenticated instance of the admission of new members to the patriciate is that of the lex Cassia, which authorized Caesar as dictator to create fresh patricians.
The transition is easy to Apollo as a warlike god; in fact, the earlier legends represent him as engaged in strife with Python, Tityus, the Cyclopes and the Aloidae.
The treatment of an angle as generated by rotation, the investigation of the relations between trigonometrical ratios and circular measure, the application of interpolation to trigonometrical tables, and the general use of graphical methods to represent continuous variation, all imply an analytical onlook, and must therefore be deferred to this stage.
The two classes obviously represent respectively systems of polar and rectangular coordinates.
The two forces at B will cancel, and we are left with a couple of moment P.AC in the plane AC. If we draw three vectors to represent these three couples, they will be perpendicular and proportional to the respective sides of the triangle ABC; hence the third vector is the geometric sum of the other two.
The two lastmentioned works perhaps most nearly represent the views taken in the text, which are also developed by die present writer in " PreAnimistic Religion," Folk-Lore xi.
The Ulvaceae, the thallus of which consists of external form as an expanded Coprinus, Neomeris simulates the laminae, one or more cells thick, or hollow tubes, probably represent fertile shoot of Equisetum with its densely packed whorled branches, a still more advanced stage in the passage of a colony into a multiand in Microdictyon, Anadyomene, Struvea and Boodlea the branches, cellular plant.
The utility of the curve depends upon the fact that the elements of arc represent, in amplitude and phase, the component vibrations due to the corresponding portions of the primary wave-front.
The value of cereals ($4,700,271) - of which wheat and oats represent four-fifths - is much exceeded by that of hay and forage ($8,159,279 in 1899).
The values of the saturation-pressure have been ver y accurately determined for the majority of stable substances, and a large number of empirical formulae have been proposed to represent the relation between pressure and temperature.
The variation of gases from Boyle's law is represented in the equation of Van der Waals by subtracting a constant b from the total volume to represent the effect of the volume of the molecules themselves.
The vermiform body is covered with cycloid imbricating scales, devoid of osteoderms. Limbs and even their arches are absent, excepting a pair of flaps which represent the hind-limbs in the males.
The view which has received most general acceptance is that they represent a branch of the Caucasic division of mankind who migrated at a remote period possibly in Neolithic times from the Asiatic mainland travelling by way of the Malay Archipelago and gradually colonizing the eastern Pacific. The Polynesians, who, as represented by such groups as the Samoans and Marquesas islanders, are the physical equal of Europeans, are of a light brown colour, tall, well-proportioned, with regular and often beautiful features.
The water-demon Grendel and the dragon (probably), by whom Beowulf is mortally wounded, have been supposed to represent the powers of autumn and darkness, the floods which at certain seasons overflow the low-lying countries on the coast of the North Sea and sweep away all human habitations; Beowulf is the hero of spring and light who, after overcoming the spirit of the raging waters, finally succumbs to the dragon of approaching winter.
The workings in Great Britain represent the annual abstraction of rather more than a mass of rock equal to a foot in thickness spread over a square mile.
The Yue-Chi and Turks, however, may both represent parallel developments of similar or even originally identical tribes.
Their reason was that omission seems to be contrary to the genius of the Western text, and that it is therefore probable that these passages represent interpolations made in the text on the Neutral side after the division between it and the Western.
Their report, issued on the 18th of October, stated that they had " endeavoured to represent the Latin original more exactly in a large number of cases."
Then will the projection of that line in the prnjectec figure indicate the vertical direction, and represent the weight of th part of the second structure corresponding to the before-mentione portion of the first structure.
There are several papers still existing in Newton's handwriting bearing dates 1665 and 1666 in which the method is described, in some of which dotted or dashed letters are used to represent fluxions, and in some of which the method is explained without the use of dotted letters.
There is some difference of opinion as to which structure or structures represent the cotyledon.
Thereafter he rose rapidly, until, after a long period of service as vice-minister of foreign affairs, he was appointed to represent his country first in Peking, then in St Petersburg and finally in London, where he acted an important part in negotiating the first AngloJapanese Alliance, for which service he received the title of viscount.
These are old stem endings left after the loss of the original -es; thus latro gives lleidr, latrones gives lladron; the forms having dd represent i stems, i becoming dd in certain positions.
These are overlaid conformably by a thick series of platy limestones, known as the Viglas limestone, which appears to represent the rest of the Jurassic system and also the lower part of the Cretaceous.
These are painted on a fine stucco in beautiful colours (notably a kind of turquoise-green) and represent archaic forms of flowers and butterflies.
These centuries represent an age which the Jewish historians have partly ignored (as regards Samaria) and partly obscured (as regards the return from exile and the reconstruction of Judah); but since this age stands at the head of an historical development which leads on to Christianity and Rabbinical Judaism, it is necessary to turn from Palestine as a land in order to notice more particularly certain features of the Old Testament upon which the foregoing evidence directly bears.
These distinctions are not of a hard and fast character, for they frequently merely represent different developments of the same wine.
These equations can be made to represent the state of convective equilibrium of the atmosphere, depending on the gas-equation p = pk =RA (6) where 0 denotes the absolute temperature; and then d9 d p R dz - dz (p) n+ 1' so that the temperature-gradient deldz is constant, as in convective equilibrium in (I I).
These facts and dates represent nearly all the events of Hallam's career.
These figures only represent a portion of the total shipping of the kingdom.
These figures, however, do not correctly represent the aggregates of Bolivian trade, as her imports and exports passing through Antofagasta, Arica and Mollendo are to a large extent credited to Chile and Peru.
These functions do not, however, represent energy existing in the substance, like the intrinsic energy; but the increment of 90 represents heat supplied to, and the decrement of (E-04) represents work obtainable from, the substance when the temperature is kept constant.
These kings probably represent that " sea-power of Cyprus " which precedes that of Phoenicia in the Greek " List of Thalassocracies " preserved by Eusebius.
These may represent partly the Millstone Grit and partly the Coal Measures.
These numbers have been taken as a basis for calculation of population, and one statistician reasoned that if 50,000 were buried in one churchyard 100,000 should represent the whole mortality of London.
These only partially represent one of the three main divisions, Paguridea, Galatheidea, Hippidea.
These operations represent only a part of Charles XI.'s gigantic activity.
These reliefs represent both sacred subjects and scenes of war and hunting, mixed with grotesque monsters, such as specially delighted the rude, vigorous nature of the Lombards; they are all richly decorative in effect, though strange and unskilful in detail.
These represent a theory of the Church practically unknown to the Reformers, and only reached through the necessity for discovering a logical basis for the communities of conscientious dissidents from the established churches.
These represent for the most part what Enoch saw in a vision.
These represent the albuminoid series, and are probably elaborated by the cells from albuminous substances through the influence of specific ferments.
These represent the bright side of Tatar rule.
These seven earls appear to represent the old rulers of the seven provinces of Pictland, and asserted ancient claims to elect a king.
These skeletons, which now form the most striking feature of the Brussels Museum, evidently represent a large troop of animals which were suddenly destroyed and buried in a deep ravine or gully.
These slopes represent the extent of Afghan territory which exists north of the Hindu Kush between Kala Panja and Ishkashim.
These sometimes represent branches which have become short, hard and pungent, or sometimes leaf-stipules.
These things represent the ideal of Christendom.
These variables represent the whole assemblage of generalized co-ordinates qr; they are continuous functions of the independent variables x, y, 1 whose range of variation corresponds to that of the index r, and of 1.
These were at one time believed to represent two individuals of different kinds, together constituting a zooid.
They are covered by white sandstones and these by white chalk and manly beds, which represent the Upper Chalk of England.
They are generally considered to represent the inner whorl of the ordinary monocotyledonous b FIG.
They avoid mentioning his name and represent him by the peacock.
They may represent the gigantic forces of nature which appear in earthquakes and other convulsions, or the multitudinous motion of the sea waves (Mayer, Die Giganten and Titanen, 1887).
They no doubt represent formations of widely different ages, but all that can be said is that they are greatly older than the Cape System.
They probably represent an old population perhaps connected with some Caucasus stock; in spite of the resemblance of the name Taurisci they are not likely to be Celts.
They represent a joint invasion of Peloponnesus by Aetolians and Dorians, the latter having been driven southward from their original northern home under pressure from the Thessalians.
They undoubtedly represent the lowest grade of algal life, and their distribution rivals that of the Green Algae.
This applies to the inverted pendulum, with u =g/l, but the equation (9) is then only approximate, and the solution therefore only serves to represent the initial stages of a motion in the neighborhood of the position of unstable equilibrium.
This calculus was first applied to the motion of water by d'Alembert, and enabled both him and Euler to represent the theory of fluids in formulae restricted by no particular hypothesis.
This diagram consists of a polygon whose successive sides represent /\p9
This did not by any means represent all the demands of the Jesuits, and it was couched in terms which appeared not unacceptable to the majority of the Catholics.
This literature may be taken to represent the period of the Renaissance in the West; but when the yoke of the Phanariotes was shaken off, the link that connected Rumanian literature with Greek was also broken, and under modern influences began the romantic movement which has dominated Rumanian literature since 1830.
This may represent local tradition or may be an inference from i Cor.
This power has been largely acted upon throughout England, and the courts of law have on several occasions decided that such by-laws should be benevolently interpreted, and that in matters which directly arise and concern the people of the county, who have the right to choose those whom they think best fitted to represent them, such representatives may be trusted to understand their own requirements.
This result, which is usually known now as the " Ehrlich phenomenon," was explained by him on the supposition that the " toxin " does not represent molecules which are all the same, but contains molecules of different degrees of combining affinity and of toxic action.
This splitting up of the fats previously combined with albumin in the cell by the action of natural ferments - lipases - and the setting free of the fats under the influence of toxins represent the normal and the pathological process in the production of so-called fatty degeneration.
This structure was formerly regarded as pointing to the fusion of two organs, and the pale was considered by Robert Brown to represent two portions soldered together of a trimerous perianth - whorl, the third portion being the " lower pale."
This theatre has a peculiar interest as the scene of the tumult aroused by the mission of St Paul; but the existing remains represent a reconstruction carried out after his time.
This vase dates about 250 B.C., and the Siren charms represent her in the same way, but usually mounted on two sea-horses.
This very characteristic larva is termed a planula, but though very uniform externally, the planulae of different species, or of the same species at different periods, do not always represent the same stage of embryonic development internally.
This will be evident if we consider that, since radii vectores of the hodograph represent velocities in the orbit, the elementary arc between two consecutive radii vectores of the hodograph represents the velocity which must be compounded with the velocity of the moving point at the beginning of any short interval of time to get the velocity at the end of that interval, that is to say, represents the change of velocity for that interval.
This, however, does not adequately represent the Hebrew.
This, when attained, is undoubtedly a most important reduction in the chance of pathogenic bacteria passing into the filtered water; but much mere must be done than has hitherto in most places been done to ensure the constancy of such a condition before it can be assumed to represent the degree of safety attained.
Those from Tiryns are a most remarkable series; the figure frescos which have been reconstructed represent women in procession, a chariot group and a boar hunt.
Those plates are perhaps constant throughout sea-urchins and starfish (though it would puzzle any one to detect them in certain Silurian echinoids), and they may be traced in some of the fixed echinoderms; but there is no proof that they represent the radials of a simple crinoid, and there are certainly many cystids in which no such plates existed.
Though he was apt to represent himself as disliked and neglected by the admiralty, and was frequently insolent towards his superiors, he was, as a matter of fact, pretty constantly employed, and he more than justified his appointments by his activity and success as captain of the "Pallas" (32) and "Imperieuse" (38) on the ocean and in the Mediterranean.
Though the value of imports into Scotland is less than one-eleventh of that into England, this does not represent the due proportion of foreign wares used and
Three well planned and commodious hospital buildings represent the benevolent work of the community.
Thus 14286 and 85714 represent and 1correct to 5 significant figures; but the latter is relatively more accurate than the former.
Thus if A1B1 represent a turning pair, and A5B1 a second turning pair, the rigid link formed by joining Bl to B2 is a kinematic link.
Thus ii AB, BC, CD represent the given loads, in the force-diagram, we construct the sides corresponding to OA, OB, OC, OD in the funicular; we then draw the closing line of the funicular polygon, and a parallel OE to it in the force diagram.
Thus in England, especially the northern counties, there was a custom (now extinct) for poor women to carry round the "Advent images," two dolls dressed one to represent Christ and the other the Virgin Mary.
Thus Philo had, in his life of Moses, allegorized the Pentateuchal narratives so as to represent him as mediator, saviour, intercessor of his people, the one great organ of revelation, and the soul's guide from the false lower world into the upper true one.
Thus the first and second definitions represent the founders of the sophistry of culture, Protagoras and Prodicus, from the respective points of view of the older Athenians, who disliked the new culture, and the younger Athenians, who admired it; the third and fourth definitions represent imitators to whom the note of itinerancy was not applicable; the fifth definition represents the earlier eristics, contemporaries of Socrates, whom it was necessary to distinguish from the teachers of forensic oratory; the sixth is framed to meet the anomalous case of Socrates, in whom many saw the typical sophist, though Plato conceives this view to be unfortunate; and the seventh and final definition, having in view eristical sophistry fully developed, distinguishes it from SfµoXoyuci, i.e.
Thus the party of the scribes, when they came into conflict with an active political power, which at the same time claimed to represent the theocratic interests of Israel, were compelled to lay fresh stress on the doctrine that the true deliverance of Israel must come from God.
Thus we speak of one thousand eight hundred and seventy-six, and represent it by Mdccclxxvi or 1876; but we should speak of the third day of August 1876, and represent it by 3.8.
Thus, though the psalms represent a great range of individual religious experience, they avoid such situations and expressions as are too unique to be used in acts of public devotion.
To express this symbolically, let dii represent the area of a portion of a pair of rubbing surfaces at a distance r from the axis of their relative rotation; p the intensity of the normal pressure at du per unit of area; and f the coefficient of friction.
To many minds the papacy thus came to represent a unifying principle, as opposed to the disruptive tendencies of Liberalism and Nationalism, and the papal monarchy came to be surrounded with a new halo, as in some sort realizing that ideal of a " federation of the world " after which the age was dimly feeling.
To prevent confusion the zero or " nought " is introduced, so that the successive figures, beginning from the right, may represent ones, tens, hundreds,.
To see this, we may represent ordinal numbers by the ordinary numerals I, 2, 3,..
Two conceptions lay at the basis - the thought of the spiritual priesthood of all believers and the belief that the state was a divine ordinance, that the magistracy might represent the whole body of believers and that discipline and administration might be exercised through courts constituted somewhat like the consistorial courts of the medieval bishops, their members being appointed by the magistracy.
Two hundred and fifty-two of them represent one hundred and twenty-seven speeches of known title; and of six the fragments are comparatively large.
Two manuscripts, indeed, the British Museum and Mons texts, preserve a fragment relating the birth and infancy of the hero, which appears to represent the source at the root alike of Chretien and of the German Parzival, but it is only a fragment, and so far no more of the poem has been discovered.
Two of the elected members represent St Louis, the 8 rural districts into which the island is divided electing each one member.
Two positions on which he repeatedly insisted have taken a firm hold - first, that it is of the essence of a church to be comprehensive of various views and tendencies, and that a national church especially should seek to represent all the elements of the life of the nation; secondly, that subscription to a creed can bind no one to all its details, but only to the sum and substance, or the spirit, of the symbol.
Two species of bear and the "coati" (Nasua) represent the plantigrades and inhabit the mountain slopes, and, of Pachydermata, the peccary (Dicotyles) and "danta" or tapir (Tapirus) have a wide distribution throughout the lowland and lower plateau forests.
Two unofficial members of the legislative council of the colony, which holds its sittings in Singapore, are nominated by the governor, with the sanction of the secretary of state for the colonies, to represent Penang.
Two years later he was sent to represent his country in London, but in November 1870 he was recalled by President Grant.
Uncertainty in regard to the value of the peso led the compiler to omit the equivalents in U.S. gold, but according to foreign trade returns these totals represent gold values, which at 4s.
Under the name of Oryctolagus cuniculus, the rabbit is considered to represent a genus by itself, specially characterized by the shortness of the ears and hind-feet.
Under this name are included a number of philosophers of the 6th and 5th centuries B.C. Mainly Ionians by birth, they are united by a local tie and represent all that was best in the early Ionian intellect.
Various types of elastic solid medium have thus been invented to represent the aether, without complete success in any case.
Very constantly a pair of simple sacklike glands open into the stomach, and probably represent the hepato-pancreatic glands of other Invertebrates.
We can represent waves of longitudinal displacement by a curve, and this enables us to draw very important conclusions in a very simple way.
We have now reached the most celebrated name among the Arabian caliphs, celebrated not only in the East, but in the West as well, where the stories of the Thousand and One Nights have made us familiar with that world which the narrators represent in such brilliant colours.
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 therefore represent them by separate symbols, in the same way that we represent the unknown quantity in an equation by a symbol.
We therefore take a third step, and obtain theoretical continuity by considering that every point on the line, if it does not represent a rational number, represents something which may be called an irrational number.
When an immigrant moved to Rome from one of the cities of the Latin league, or any city which enjoyed the jus commercii with Rome, and by the exercise of the right of voluntary exile from his own state (jus exulandi), claimed Roman citizenship, it is impossible to suppose that it was necessary for him to make application to a Roman patron to represent him in his legal transactions; for the jus commercii gave its holder the right of suing and being sued in his own person before Roman courts.
When Clerk Maxwell pointed out the way to the common origin of optical and electrical phenomena, these equations naturally came to repose on an electric basis, the connexion having been first definitely exhibited by FitzGerald in 1878; and according as the independent variable was one or other of the vectors which represent electric force, magnetic force or electric polarity, they took the form appropriate to one or other of the elastic theories above mentioned.
When Khammurabi's fifth successor saw the fall of the Amorite dynasty in consequence of an inroad of "Hittites," these may have been Mesopotamian Shubaru-Mitanni; but they may, as Ungnad suggests, represent rather an- Timee Times.
When they came into a hot climate the fire of the sacrifices and domestic cookery was removed out of the house; but the dead were probably still for a while buried in or near it, and the tulsi was planted over their graves, at once for the salubrious fragrance it diffuses and to represent the burning of incense on the altar of the family Lar.
While a comparison of his expositions of the Pauline and Johannine Christologies with the earlier Unitarian exegesis in which he had been trained shows how wide is the interval, the work does not represent a mind that had throughout its history lived and worked in the delicate and judicial investigations he here tried to conduct.
Whilst the general tendency in his day was to represent England as in a state of progressive decline - an opinion put forward particularly in the tract entitled Britannia languens - Petty declared her resources and prospects to be not inferior to those of France.
Wilson remarks," notwithstanding the acknowledged purport of this worship, it is but justice to state that it is unattended in Upper India by any indecent or indelicate ceremonies, and it requires a rather lively imagination to trace any resemblance in its symbols to the objects they are supposed to represent."In spite, however, of its wide diffusion, and the vast number of shrines dedicated to it, the worship of Siva has never assumed a really popular character, especially in northern India, being attended with scarcely any solemnity or display of emotional spirit.
With a view to more minute examination, the annual frequency can be expressed in Fourier series, whose terms represent waves, whose periods are 12, 6, 4, 3, &c. months.
With Anglo-Norman aid he repelled a Celtic rising - the right of the claimants to represent the blood of Lulach is exquisitely complex and obscure in this case - but in the end David annexed to the crown the great old sub-kingdom or province of Moray, and made grants therein to English, Norman and Scottish followers.
With this exception, however, all ancient writers, whether they enumerated two or three or four Passovers in the Gospel history, believed that the enumeration was exhaustive; and their belief appears correctly to represent the mind of the author of the Fourth Gospel, seeing that his various notes of time were probably in intentional contrast to the looser synoptic accounts.
Without doubt many of their gods are deified men; but it is clear that some are the forces of Nature personified, while others appear to represent human passions which have become identified with particular persons who have an existence in their historical myths."
X, Period, 47 1 4, 47 1 5, 4716,...4713 X; From Which It Is Evident, That If We Take P To Represent The Year Of The Julian Period, And X The Corresponding Year Of The Christian Era, We Shall Have P= 47 1 3 X, And X=P 4713.
Xiphodon and Dichodon represent another type with cutting premolars and selenodont molars; while Caenotherium and Plesiomeryx form yet another branch, with resemblances to the ruminants.
Yet Tacitus seems to represent their military equipment as being of a somewhat primitive type.
Yet there is no doubt that both of them ultimately represent Greek MSS.
Yet throughout the bronze age it is possible to trace a fairly well-defined group of antiquities covering the basin of the Elbe, Mecklenburg, Holstein, Jutland, southern Sweden and the islands of the Belt, and archaeologists have conjectured with much probability that these antiquities represent the early civilization of the Teutonic peoples.
Zeus and Semele probably represent the fertilizing rain of spring, and the earth, afterwards scorched by the summer heat.