Relation sentence example

relation
  • Thus a relation between susceptibility and atomic weight is clearly indicated.

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  • For the relation of this inequality to the solar parallax see Moon.

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  • The curves given by Houllevigue for the relation of thermo-electric force to magnetic field are of the same general form as those showing the relation of change of length to field.

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  • Recently Schubert has sought to derive the elements which are found in the Petrine Gospel, but not in the canonical gospels, from the original Ada Pilati, while Zahn exactly reverses the relation of these two works.

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  • It seems that there is a primitive tendency in the Arthropoda for the arteries to accompany the nerve cords, and a " supra-spinal " artery - that is to say, an artery in close relation to the ventral nerve cords--has been described in several cases.

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  • A solution was also given by Fermat in his Relation.

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  • In the case of cobalt no such relation could be traced; it appeared that the thermo-electric power of the unmagnetized with respect.

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  • Another was the magnetic rotation of the plane of polarization of light, which was effected in 1845, and for the first time established a relation between light and magnetism.

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  • Scorpio certainly comes nearer to Limulus in the high development of its arterial system, and the intimate relation of the anterior aorta and its branches to the nerve centres and great nerves, than does any other Arthropod.

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  • It is difficult to determine the relation of the so-called Latin Actus Vercellenses (which there are good grounds for assuming were originally called the IIpa cts IIirpov) with the Acts of John and Paul.

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  • According to his view, all mountain ranges parallel to the same great circle of the earth are of strictly contemporaneous origin, and between the great circles a relation of symmetry exists in the form of a pentagonal reseau.

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  • There is a close relation between the pollination of many yuccas and the life of a moth (Pronuba yuccasella); the flowers are open and scented at night when the female moth becomes active, first collecting a load of pollen and then depositing her eggs, generally in a different flower from that which has supplied the pollen.

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  • Its starting-point was a dispute with Melanchthon in 1527 as to the relation between repentance and faith.

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  • With regard to birds and land shells the relation is much closer to the Comoros species, and the latter, of which I have collected seven species besides Rachis aldabrae, may serve to point out more than the birds the land connexion of Aldabra with the neighbouring countries."

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  • It may be that, just as the usages of civilized nations have slowly crystallized into international law, so there may come a time when the political principles that govern states in relation to each other will be so clearly defined and so generally accepted as to acquire something of a legal or quasi-legal character.

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  • Its communities were bound together by a sense of close fraternal relation.

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  • The relation of reason and faith remains external, and certain doctrines - an increasing number as times goes on - are withdrawn from the sphere of reason.

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  • But, although the relation of reason to an external authority thus constitutes the badge of medieval thought, it would be unjust to look upon Scholasticism as philosophically barren, and to speak as if reason, after an interregnum of a thousand years, resumed its rights at the Renaissance.

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  • This pure individualism, consistently interpreted, involves the denial of all real relation whatsoever; for things are related and classified by means of their general characteristics.

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  • In the Persons of the Trinity, on the other hand the relation is one of absolute identity.

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  • His system is conditioned throughout by its relation to that of Aquinas, of which it is in effect an elaborate criticism.

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  • At a time when everything depended on the army, they had destroyed the main tie which bound the Austrian court to their interests by tampering with the relation of the Hungarian army to the crown.

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  • Bodin showed a more rational appreciation than many of his contemporaries of the causes of this revolution, and the relation of the variations in money to the market values of wares in general as well as to the wages of labour.

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  • The main work of Descartes, so far as algebra was concerned, was the establishment of a relation between arithmetical and geometrical measurement.

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  • The important thing to notice is that where, in any of these five cases, one statement is followed by another, the second is not to be regarded as obtained from the first by logical reasoning involving such general axioms as that " if equals are taken from equals the remainders are equal "; the fact being that the two statements are merely different ways of expressing the same relation.

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  • We start with related facts, and adopt a particular method of visualizing the relation.

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  • Another useful set of graphs comprises those which give the relation between the expressions of a length, volume, &c., on different systems of measurement.

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  • The relation, when written in the form (23), is known as Vandermonde's theorem.

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  • Simultaneous equations in two unknowns x and y may be treated in the same way, except that each equation gives a functional relation between x and y.

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  • As a unity Gandharva has no special attributes but many duties, and is in close relation with the great I gods.

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  • Outside the scientific world an immense mass of observation and experiment had grown up in relation to this subject.

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  • In consequence of this excess of births there is a struggle for existence and a survival of the fittest, and consequently an ever-present necessarily acting selection, which either maintains accurately the form of the species from generation to generation or leads to its modification in correspondence with changes in the surrounding circumstances which have relation to its fitness for success in the struggle for life.

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  • The immediate result was, as pointed out above, a reconstruction of the classification of animals upon a genealogical basis, and an investigation of the individual development of animals in relation to the steps of their gradual building up by cell-division, with a view to obtaining evidence of their genetic relationships.

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  • When light passes through a small circular or annular aperture, the illumination at any point along the axis depends upon the precise relation between the aperture and the distance from it at which the point is taken.

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  • If A' be the area over which the intensity must be Io in order to give the actual total intensity in accordance with A'102 =ff + 12d4dn, the relation between A and A' is AA' = X 2 f 2 .

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  • If, however, the half-covered aperture be in front of the object-glass, the phenomenon is magnified as a whole, and the desirable relation between the (unmagnified) dispersion and the aperture is the same as without the telescope.

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  • In 1686 his famous allegory of Rome and Geneva, slightly disguised as the rival princesses Mreo and Eenegu, in the Relation de file de Borneo, gave proof of his daring in religious matters.

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  • His art has no relation to his own time or to the country in which he lived.

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  • Ennius, Pacuvius, Accius and Lucilius is their relation to the national and moral spirit of the age in which they were written.

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  • The special interest of Map lies in the perplexing question of his relation to the Arthurian legend and literature.

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  • In preserving the public health, the medical profession is again brought into direct relation with the state, through the public medical officers.

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  • That philosopher and several of his successors were physicians, but we do not know in what relation they stood to later medical schools.

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  • The work on diseases of women is the only complete work on that subject which has come down to us from antiquity, and shows remarkable fullness of practical knowledge in relation to its subject.

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  • Galen was a man furnished with all the anatomical, medical and philosophical knowledge of his time; he had studied all kinds of natural curiosities, and had stood in near relation to important political events; he possessed enormous industry, great practical sagacity and unbounded literary fluency.

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  • The so-called iatro-chemical school stood in a much closer relation to practical medicine than the iatrophysical.

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  • All phenomena, moral as well as material, are contemplated by him in their relation to one great organic whole, which he acknowledges under the name of "Natura daedala rerum," and the most beneficent manifestations of which he seems to symbolize and almost to deify in the "Alma Venus," whom, in apparent contradiction to his denial of a divine interference with human affairs, he invokes with prayer in the opening lines of the poem.

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  • Some, however, as well as other natural features effaced by the growth of the city, retain an historical interest through the survival of their names in streets and districts, or through their relation to the original site of London (in the present City).

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  • This explains the position of Middlesex in relation to London.

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  • Nor can the relation of master and pupil be certainly inferred from the superscription quoted (observe the omission of any article), which really asserts no more than that Hero re-edited an earlier treatise by Ctesibius, and implies nothing about his being an immediate predecessor.

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  • In the same way glass can be rendered more or less fusible, and its stability can be increased both in relation to extremes of temperature and to the chemical action of solvents.

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  • On the other hand, while in the older crown and flint glasses the relation between refraction and dispersion had been practically fixed, dispersion and refraction increasing regularly with the density of the glass, in some of the new glasses introduced by Abbe and Schott this relation is altered and a relatively low refractive index is accompanied by a relatively high dispersion, while in others a high refractive index is associated with low dispersive power.

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  • In 1847 he was made tutor of his college, and in 1853 he delivered the Bampton lectures, his subject being "The Atoning Work of Christ viewed in Relation to some Ancient Theories."

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  • But by Green's transformation f flpdS = f f PPdxdydz, (2) thus leading to the differential relation at every point = dy dp The three equations of equilibrium obtained by taking moments round the axes are then found to be satisfied identically.

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  • With variation of temperature, the surfaces of equal pressure and density need not coincide; but, taking the pressure, density and temperature as connected by some relation,such as the gas-equation, the surfaces of equal density and temperature must intersect in lines lying on a surface of equal pressure.

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  • In the absolute path in space cos Ili = (2 - 3 sin 2 6)/1/ (4-sin 2 6), and sin 3 B = (y 3 -c 2 y)/a 3, (19) which leads to no simple relation.

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  • Expressed as a differential relation, with the value of c-TKL ai,G+2 (a 2 +A) a d ?

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  • One of these is the so-called " Synchronous History of Assyria and Babylonia," consisting of brief notices, written by an Assyrian, of the occasions on which the kings of the two countries had entered into relation, hostile or otherwise, with one another; a second is the Babylonian Chronicle discovered by Dr Th.

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  • True and Exact Relation of both the Battles fought by.

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  • He also pointedly alludes to John's work and the people's relation to it, in many sayings and parables (sometimes in a tone of irony).

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  • Ruff effects the same change by oxidizing the sugar to the oxy-acid, ' See Fermentation; and for the relation of this property to structure see Stereoisomerism.

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  • 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.

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  • Lastly, when d-galactonic acid is heated with pyridine, it is converted into talonic acid, which is reducible to talose, an isomeride bearing to galactose the same relation that mannose bears to glucose.

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  • Certain others are referred to in relation with the important radicle contained in the salt.

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  • In the days of the decaying empire and of the chaotic German settlement, the weak freeman, the small landowner, was exposed to attack in almost every relation of life and on every side.

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  • There are thus distinguished at the beginning those two great sides of feudalism which remained to the end of its history more or less distinct, the personal relation and the land relation.

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  • The owner could call in his land and terminate the relation at any time, for any reason, or for none at all.

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  • The same class continued to furnish the king's men, and to form his household and body-guard whether the relation was that of the patrocinium or the comitatus, and to be made noble by entering into it.

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  • Grants of land of the Merovingian kings had carried with them ownership and not a limited right, and the king's patrocinium had not widened in extent in the direction of the later vassal relation.

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  • Itcompleted the transformation of the army into a vassal army; it completed the recognition of feudalism by the state, as a legitimate relation between different ranks of the people; and it recognized the transformation in a great number of cases of a public duty into a private obligation.

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  • So long as they were fulfilled, he, and his heir after him, held the fief as his property, practically and in relation to all under tenants as if precarium and patrocinium were lacking.

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  • They did not have their origin in economic considerations, but were either intended to mark the vassal's tenant relation, like the relief, or to be a part of his service, like the aid, that is, he was held to come to the aid of his lord in a case of financial as of military necessity.

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  • Hence he is spoken of with respect in the Clementines; while Paul, as a radical in relation to the Law, is discountenanced.

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  • The kingdom of Hira was never really independent, but always stood in a relation of dependence on Persia, probably receiving pay from it and employing Persian soldiers.

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  • Shortly after it came into relation with Islam.

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  • K They seem to have stood in much the same relation to the rulers of Yemen, as the people of Hira to the Persians and the Ghassanids to Rome.

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  • Diamines.-The diamines contain two amino groups and bear the same relation to the glycols that the primary monamines bear to the primary alcohols.

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  • The simplest experience - a single note struck upon the piano - would not be what it is to us but for its relation by contrast or comparison with other experiences.

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  • This is true; but we may easily exaggerate it into a falsehood by saying that a piece of experience is entirely constituted by its relation to other experiences.

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  • Of the tribal distribution of this race, of its linguistic, social and political characteristics, and of the history of its relation to the other peoples of Spain, we have only the most general, fragmentary and contradictory accounts.

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  • The relation here indicated between the Shepherd's instruction and the initial message of one definitive repentance, open to those believers who have already "broken" their "seal" of baptism by deadly sins, as announced in Visions i.-iv.

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  • The technology of distillation is best studied in relation to the several industries in which it is employed; reference should be made to the articles COAL-TAR, GAS, PETROLEUM, SPIRITS, NITRIC ACID, &c. (C. E.*)

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  • Like Mach, he started from the principle of economy of thinking, and in the Kritik endeavoured to explain pure experience in relation to knowledge and environment.

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  • There he had William Cullen bor his instructor in chemistry, and the relation between the two soon became that of professor and assistant rather than of master and pupil.

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  • They occur in particular in relation with the orifice of the zooecium, and with that of the compensation-sac. This delicate structure is frequently guarded by an avicularium at its entrance, while avicularia are also commonly found on either side of the operculum or in other positions close to that structure.

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  • The vestibule breaks through to the exterior, and the tentacles, which have been developed within it, are brought into relation with the external water.

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  • In the Positive state, inherent volition or external volition and inherent force or abstraction personified have both disappeared from men's minds, and the explanation of a phenomenon means a reference of it, by way of succession or resemblance, to some other phenomenon, - means the establishment of a relation between the given fact and some more general fact.

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  • Comte's special object is a study of social physics, a science that before his advent was still to be formed; his second object is a review of the methods and leading generalities of all the positive sciences already formed, so that we may know both what system of inquiry to follow in our new science, and also where the new science will stand in relation to other knowledge.

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  • The elaboration of these ideas in relation to the history of the civilization of the most advanced portion of the human race occupies two of the volumes of the Positive Philosophy, and has been accepted by very different schools as a masterpiece of rich, luminous, and far-reaching suggestion.

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  • As he recedes from us, however, we begin to see that he has a much closer relation to the great Georgian writers than we used to be willing to admit.

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  • This same idea of necessary relation to national character and circumstance is also applied to dramatic poetry, and more especially to Shakespeare.

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  • The writer does not make that use of the fact of man's superior organic endowments which one might expect from his general conception of the relation of the physical and the mental in human development.

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  • In opposition to the general spirit of the 18th century he saw, by means of his historic sense, the naturalness of religion, its relation to man's wants and impulses.

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  • The God of Judaism and Christianity is essentially a person in close personal relation to his creatures; emanation is the denial of personality both for God and for man.

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  • He conceived it as " a religious monopoly " to which " the nation at large contributes," while " Presbyterians alone receive," and which placed him in " a relation to the state " so " seriously objectionable " as to be " impossible to hold."5 The invidious distinction it drew between Presbyterians on the one hand, and Catholics, Friends, freethinking Christians, unbelievers and Jews on the other, who were compelled to support a ministry they " conscientiously disapproved," offended his always delicate conscience; while possibly the intellectual and ecclesiastical atmosphere of the city proved uncongenial to his liberal magnanimity.

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  • The rise of evolution, and the new scientific way of looking at nature and her creative methods, compelled him to rethink and reformulate his theistic principles and conclusions, especially as to the forms under which the relation of God to the world and His action within it could be conceived.

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  • It was not possible, however, that the theistic idea could be discussed in relation to nature only.

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  • In 1734 he also published Prodromus philosophiae ratiocinantis de infinito et causa finali creationis, which treats of the relation of the finite to the infinite, and of the soul to the body, seeking to establish a nexus in each case as a means of overcoming the difficulty of their relation.

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  • In 1901, Professor Max Neuberger of Vienna called attention to certain anticipations of modern views made by Swedenborg in relation to the functions of the brain.

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  • Neither by geometrical, nor physical, nor metaphysical principles had he succeeded in reaching and grasping the infinite and the spiritual, or in elucidating their relation to man and man's organism, though he had caught glimpses of facts and methods which he thought only required confirmation and development.

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  • And the attention of modern psychologists is now being drawn to his doctrine of the relation of the elements of the universe to the membranes of the body.

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  • They appear to be connected with Semitic sun-worship, and are assigned by Bent to the same period as the temple at Baalbek, though some antiquarians would place them much earlier; the representation of a castle in a single stone seems to bear some relation to the idea worked out in the monolith churches of Lalibela described byRaffray.

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  • Ramus also set the modern fashion of deducing the figures from the position of the middle term in the premises, instead of basing them, as Aristotle does, upon the different relation of the middle to the so-called major and minor term.

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  • The first difficulty was to make it sufficiently light in relation to the power its machinery could develop; and several machines were built in which trials were made of steam, and of compressed air and carbonic acid gas as motive agents.

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  • In 1706 appeared the True Relation of the Apparition of one Mrs Veal, long supposed to have been written for a bookseller to help off an unsaleable translation of Drelincourt, On Death, but considerable doubt has been cast upon this by William Lee.

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  • How was the relation of the humanity to the divinity in Christ to be conceived?

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  • The double election to the German throne in 141 o first brought Frederick into relation with Brandenburg.

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  • The exact relation of the Eupatridae to the other two classes has been a matter of dispute.

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  • The integuments of the head are divided into non-imbricate shields or plates, symmetrically arranged, but not corresponding in size or shape with the underlying cranial bones or having any relation to them.

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  • The importance is now widely recognized of considering the mechanical properties of alloys in connexion with the freezing-point curves to which reference has already been made, but the subject is a very complicated one, and all that need be said here, is that when considered in relation to their meltingpoints the pure metals are consistently weaker than alloys.

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  • The result was, however, extremely bad for the allies, whose status in the league necessarily became lower in relation to that of Athens, while at the same time their military and naval resources correspondingly diminished.

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  • But this simple relation is only true of the net balances of heat and work in a complete cyclical process, which must be adopted for theoretical purposes if we wish to eliminate the unknown changes of intrinsic energy.

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  • The significance of relation (I) is best appreciated by considering the graphic representation of quantities of heat and energy on a work-diagram.

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

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  • Substituting these symbols in the expression for the area, the relation becomes H=o(p' - p„)(v„_v')/(o' - o").

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  • Substituting for H its value from (3), and employing the notation of the calculus, we obtain the relation S - s =0 (dp /do) (dv/do),.

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  • The value of the specific heat s at constant volume can also be measured in a few cases, but it is generally necessary to deduce it from that at constant pressure, by means of relation (6).

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  • It is often impossible to observe the pressure-coefficient dp/de directly, but it may be deduced from the isothermal compressibility by means of the geometrically obvious relation, BE = (BEÆC) XEC. The ratio BEÆC of the diminution of pressure to the increase of volume at constant temperature, or - dp/dv, is readily observed.

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  • For a finite change it is necessary to represent the path by a series of small steps, which is the graphic equivalent of integration along the path represented by the given relation between v and 0, or p and 0.

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  • We thus obtain the relation ds/dv(o const) =od 2 p/d0 2 (v const),.

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  • This may be interpreted as the equation of the border curve giving the relation between p and 0, but is more easily obtained by considering the equilibrium at constant pressure instead of constant volume.

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  • Assuming the function G to be expressed in terms of p and 0, this condition represents the relation between p and 0 corresponding to equilibrium between the two states, which is the solution of the relation (v" - v')dp/dO=L/D, (5).

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  • In view of these conditions, the prophet's message is to reassert the true relation of Israel to Yahweh, and to call for a corresponding holiness, especially in regard to questions of ritual and of marriage.

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  • Nor are the numina, not being anthropomorphic, capable of relation XXIII.

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  • This conception of the nature of the numina and man's relation to them is the root notion of the old Roman religion, and the fully-formed state cult of the di indigetes even at the earliest historical period, must have been the result of long and gradual development, of which we can to a certain extent trace the stages.

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  • Organization showed itself in the fixing of the annual calendar and the development of the character and functions of the priesthood, and as we should expect, in a new conception of the legal relation of the gods to the state.

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  • The relation of the gold to the potassium bromide, as well as the amounts of silver and silver bromide which are equivalent to the potassium bromide, were determined.

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  • In this article an account will be given of the general significance of Montanism in relation to the history of the Church in the 2nd century, followed by a sketch of its origin, development and decline.

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  • Tertullian exhausted the resources of dialectic in the endeavour to define and vindicate the relation of the spiritualists to the "psychic" Christians; but no one will say he has succeeded in clearing the Montanistic position of its fundamental inconsistency.

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  • It was a very important experience in relation to his life-work.

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  • His reconstruction of the creed of Aphraates is interesting in relation to the other traces of a Syriac creed form existing prior to the 4th century.

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  • We cannot ask to be as if through nineteen centuries no one had ever asked a question about the relation of the Lord Jesus Christ to the Father and the Holy Spirit.

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  • Again, the relation between logic in its widest sense and the theory of knowledge is extremely close.

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  • If this appearance be not fallacious, the obvious relation between the two superscriptions will be best explained by the supposition that the author of Jude gave currency to the existing homily (James) before composing under the pseudonym of Jude.

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  • Sieffert, on account of the superscription, would date as early as 70-80, but acknowledges the hyper-Pauline affinity of the heresy, its propagation as a doctrine, and close relation to the Nicolaitan of Rev. ii.

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  • According to this method of dating the years a new era commences with every reign; and the year corresponding to a Chinese date can only be found when we have before us a catalogue of the Nien-hao, with their relation to the years of our era.

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  • Among these were the exponential calculus, and the curve called by him the linea brachistochrona, or line of swiftest descent, which he was the first to determine, pointing out at the same time the relation which this curve bears to the path described by a ray of light passing through strata of variable density.

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  • In later memoirs Reynolds followed up this subject by proceeding to establish definitions of the velocity and the momentum and the energy at an element of volume of the molecular medium, with the precision necessary in order that the dynamical equations of the medium in bulk, based in the usual manner on these quantities alone, without directly considering thermal stresses, shall be strictly valid - a discussion in which the relation of ordinary molar mechanics to the more complete molecular theory is involved.

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  • On the other hand in the Diplarthra, the tcl group to which the vast majority of modern Ungulates A i n belong, the second or lower row has been shifted altogether towards the inner side of the limb, so that the magnum is brought considerably into relation with the scaphoid, and is entirely removed from the cuneiform, as in most existing mammals.

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  • It is chiefly known from the causal relation of one of its species of the most serious of vine-diseases.

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  • This construction would give all the advantage of the younger Dollond's object-glass micrometer, and more than its sharpness of definition, without liability to the systematic errors which may be due to want of homogeneity of the object-glass; for the lenses will not be turned with respect to each other, but, in measurement, will always have the same relation in position angle to the line joining the objects under observation.

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  • He is not a person of much importance in history except in relation to a strange theory raised in a later age about his birth, which we shall notice presently.

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  • It might be supposed that all possible methods had now been considered, and that a combination of the three methods which have established their validity in relation to the interpretation of the Apocalypse would be adequate to the solution of all the problems of the book, but this is not so; for even when each in turn has vindicated the provinces in the book that rightly belong to it, and brought intelligibility into these areas, there still remain outlying regions which they fail to illumine.

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  • Sorensen, carried out a careful investigation of the relation between the amount of chlorine, the total salinity and the specific gravity of sea-water of different strengths including an entirely new determination of the thermal expansion of sea-water.

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  • Further Physical Properties of Sea-water.---The laws of physical chemistry relating to complex dilute solutions apply to seawater, and hence there is a definite relation between the osmotic pressure, freezing-point, vapour tension and boiling-point by which when one of these constants is given the others can be calculated.

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  • Sarasin and longer series of experiments by Tornde and Kriimmel this relation is shown to be so close that the salinity of a sample can be ascertained by determining the index of refraction.

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  • Fox, of the Central Laboratory of the International Council at Christiania, has investigated the relation of the atmospheric gases to sea-water by very exact experimental methods and arrived at the following expressions for the absorption of oxygen and nitrogen by sea-water of different degrees of concentration.

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  • As the amount of ash varies very considerably in different coals, and stands in no relation to the proportion of the other constituents, it is necessary in forming a chemical classification to compute the results of analysis after deduction of the ash and hygroscopic water.

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  • Although his kingdom was nominally independent of Carthage, it really stood to it in a relation of vassalage; it was directly under Carthaginian influences, and was imbued to a very considerable extent with Carthaginian civilization.

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  • The fact too that he never shows any signs of having been influenced by Polycarp and never once quotes his writings is a further proof that the relation between them was slight.

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  • Structurally it would seem to have some relation to the siskins (Chrysomitris), though the members of the two groups have very different habits, and perhaps its nearest kinship lies with the hawfinches (Coccothraustes).

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  • For many kinds of spring the change of form is practically proportional to the force, but the relation should always be determined experimentally.

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  • The relation between the two should in all cases be found experimentally.

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  • At Schulpforta he had read with delight Lessing's Anti-Goeze, and during his Jena days had studied the relation between philosophy and religion.

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  • This equation is found experimentally to be capable of representing the relation between p, v, and T over large ranges of values.

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  • He dealt with (a) human life as explained by the relative nature of Man and God, (b) the Divine nature and the existence of God, and, (c) the great Logos doctrine as the explanation of the relation between God and the material universe.

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  • This classification, though it is of high value in the clearing up of our conceptions of the essential contrasted with the accidental, the relation of genus, differentia and definition and so forth, is of more significance in connexion with abstract sciences, especially mathematics, than for the physical sciences.

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

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  • They are seen to be united under the relation of cause and effect, determining and determined, which turns out to mean that they are merely passing manifestations of some single entity or energy which constitutes the real unknown essence of the things that come before our knowledge.

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  • But these ideas are themselves intelligible only in relation to one another and to the whole.

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  • It was these paradoxes that Kant sought to rebut by a more thoroughgoing criticism of the basis of knowledge the substance of which is summed up in his celebrated Refuta tion of Idealism,' wherein he sought to undermine Hume's scepticism by carrying it one step further and demonstrating that not only is all knowledge of self or object excluded, but the consciousness of any series of impressions and ideas is itself impossible except in relation to some external permanent and universally accepted world of objects.

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  • More particularly by the confusion in which he left the relation between the two logical principles of identity and of sufficient reason underlying respectively analytic and synthetic, deductive and inductive thought, he may be said to have undermined in another way the idealism he strove to establish.

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  • Object stands in essential relation to subject, subject to object.

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  • This being so, it is wholly illogical to seek for any test of the truth and reality of either except in the form which that relation itself takes.

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  • The relation of these impressions (and for the matter of that of their inter-relations among themselves) to our minds is only one out of many.

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  • They bear a definite relation to the structure of our physical and psychical nature, and correspond to definite needs of the subject that manifests itself therein.

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  • But the guarantee of freedom is to be sought for not in the denial of law, but in the whole nature of mind and its relation to the structure of experience.

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  • In interpreting its environment first as a world of things that seem to stand in a relation of exclusion to one another and to itself, then as a natural system governed by rigid mechanical necessity, the mind can yet feel that in its very opposition the world is akin to it, bone of its bone and flesh of its flesh.

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  • The relation of the Ephetae to the court of the Areopagus is obscure; cf.

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  • The relation of the Americas to each other and to the rest of the world, as the home of plants and animals, is greatly affected by the breadth of the adjacent oceans, and also by the geologically recent changes of altitude whereby the breadth of the narrower parts of the lands and the oceans has been significantly altered.

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  • In strong contrast with this relation of close fellowship is the exceptional isolation of far southern South America.

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  • Heat and cold, rain and drought, the winds in relation to the points of the compass, were nearest their wants and supplies, and were never out of their thoughts.

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  • This creed formulates its relation to Scripture over and over, as the one regula by which all dogmata are to be tried.

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  • It seems hardly better than a caput mortuum, out of relation to the original faith or the original facts that are held to have given it birth.

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  • Putting these views aside as unsubstantial, we will consider the relation of the Waldenses as they appear in actual history with the sects which preceded them.

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  • The law under which the census of 1840 was taken contained a novel provision for the preparation in connexion with the census of statistical tables giving "such information in relation to mines, agriculture, commerce, manufactures and schools as will exhibit a full view of the pursuits, industry, education and resources of the country."

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  • During this stay in Europe, which lasted more than four years, he visited Germany to see the emperor; he also (1542) wrote his Veynte Razones, in defence of the liberties of the Indians and the Brevisima Relation de la Destruycion des las Indias occidentales, the latter of which was published some twelve years later.

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  • 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.

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  • The relation between the inaccuracy of the data and the additional inaccuracy due to substitution of another figure is similar to the relation between the inaccuracies in mensuration of a figure which is supposed to be of a given form (§ 20).

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  • Here Browne distinguishes acceptance of the covenant relation with God (religion) and the forming or " planting " of churches on the basis of God's covenant (with its laws of government), from the enforcing of the covenant voluntarily accepted, whether by church-excommunication or by civil penalties - the latter only in cases of flagrant impiety, such as idolatry, blasphemy or Sabbath-breaking.

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  • Congregationalists, on the other hand, whether Independents or Baptists, remained on the whole Trinitarians, largely perhaps in virtue of their very polity, with its intimate relation between the piety of the people and that of the ministry.

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  • But after half a century's further experience, public opinion, stimulated by growing need for common action in relation to certain practical problems of home and foreign work, proved ripe for the realization of the earlier idea in its double form.

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  • Church and State, citizenship in the one and membership in the other, thus became identical, and the foundation was laid for those troubles and consequent severities that vexed and shamed the early history of Independency in New England, natural enough when all their circumstances are fairly considered, indefensible when we regard their idea of the relation of the civil power to the conscience and religion, but explicable when their church idea alone is regarded.

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  • The relation between membership of the church and membership of the civic community has been mentioned.

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  • Coins of the time of Alexander the Great, found on the island of Oesel, show that the coasts of the Baltic were at an early period in commercial relation with the civilized world.

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  • Strutt has found that phosphatized nodules and bones are rich in radioactive constituents, and has brought this into relation with their geological age.

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  • To Cornell University, a non-sectarian institution opened at Ithaca in 1868, the state turned over the proceeds from the National land-grant act of 1862 on condition that it should admit free one student annually from each Assembly district, and in 1909 a still closer relation between this institution and the state was established by an act which makes, the governor, lieutenant-governor, speaker of the Assembly and commissioner of education ex-officio members of its board of trustees, and authorizes the governor with the approval of the Senate to appoint five other members, one each year.

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  • These are probably guardian angels, standing to the churches in the same relation that the " princes " in Daniel stand to the nations; practically the " angels " are personifications of the churches.

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  • The relation of St Benedict's Rule to earlier monastic rules, and of his institute to the prevailing monachism of his day, is explained in the article Monasticism.

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  • The relation between integral numbers of months and years expressed by Meton's rule therefore deviates only two hours from the truth.

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  • Since 19 Julian years make 6939 days, 18 hours, the relation errs by only I.

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  • Prescot was formerly of greater importance in relation to the now populous district of south-west Lancashire; it was also a postal centre, and it is curious to notice that such addresses as.

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  • The idea of an Incarnation of God is absurd; why should the human race think itself so superior to bees, ants and elephants as to be put in this unique relation to its maker?

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  • Let E be the bulk modulus of elasticity, defined as increase of pressure = decrease of volume per unit volume where the pressure increase is so small that this ratio is constant, w the small increase of pressure, and - (dy/dx) the volume decrease, then E=e/(- dy/dx) or w Æ= - dy/dx (I) This gives the relation between pressure excess and displacement.

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  • To find the relation of the velocity to displacement and pressure we shall express the fact that the wave travels on carrying all its conditions with it, so that the displacement now at M will arrive at N while the wave travels over MN.

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  • That is to say, instead of using Boyle's law, which supposes that the pressure changes so exceedingly slowly that conduction keeps the temperature constant, we must use the adiabatic relation p = kpy, whence d p /d p = y k p Y 1= yp/p, and U = (yp/p) [Laplace's formula].

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  • When the value of dyldx is not very small E is no longer constant, but is rather greater in compression and rather less in extension than -yP. This can be seen by considering that the relation between p and is given by a curve and not by a straight line.

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  • The relation between the pitch of a note and the frequency of the corresponding vibrations has also been studied by graphic methods.

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  • In order to understand the attitude which the Free State took at this time in relation to the Transvaal, it is necessary to review the history of Mr Reitz from an earlier date.

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  • These antinomies are four - two mathematical, two dynamical - connected with (I) the limitation of the universe in respect of space and time, (2) the theory that the whole consists of indivisible atoms (whereas, in fact, none such exist), (3) the problem of freedom in relation to universal causality, (4) the existence of a universal being - about each of which pure reason contradicts the empirical, as thesis and antithesis.

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  • The stability of such structures depends on the position of the line of pressure in relation to the extrados and intrados of the arch ring.

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  • Then the deviation y= DE of the neutral axis of the bent beam at any point D from the axis OX is given by the relation d 2 y Ml dx 2 = EI' where M is the bending moment and I the amount of inertia of the beam at D, and E is the coefficient of elasticity.

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  • Then the deflection at the centre is the value of y for x = a, and is _ 5 wa4 S - 14 EI' The radius of curvature of the beam at D is given by the relation R=EI/M.

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  • The State administration comprised all affairs having relation to rights, duties and interests " which are common to all territories"; all other administrative tasks were left to the territories.

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  • In addition to this there was another quite exceptional source of difficulties which had the most serious consequences for Austria, namely her relation with Hungary, due to the peculiar constitutional structure of the Austro-Hungarian Monarchy.

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  • On Solomon's relation to philosophical and proverbial literature, see PROVERBS.

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  • But this is not certain, and even if it were, it does not necessarily imply that Hippolytus enjoyed the personal teaching of the celebrated Gallic bishop; it may perhaps merely refer to that relation of his theological system to that of Irenaeus which can easily be traced in his writings.

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  • Fesch therefore stood almost in the relation of an uncle to the young Bonapartes, and after the death of Lucien Bonaparte, archdeacon of Ajaccio, he became for a time the protector and patron of the family.

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  • It may be admitted that, in many cases, the distinction between Ultramontanism and Catholicism cannot be clearly traced; and it is impossible to draw a sharp line of severance between the two, which could be absolutely valid under all circumstances and in relation to all questions.

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  • The relation of these writers to the apostolic teaching generally has become pretty evident.

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  • Whilst all who approached the queen bore witness to her candour and reasonableness in relation to her ministers, all likewise proclaimed how anxiously she considered advice that was submitted to her before letting herself be persuaded that she must accept it for the good of her people.

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  • From this time to her death the relation between the king and his mother was one of concealed or open hostility.

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  • Moreover, it could not define the relation of Christ to the atonement.

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  • The New Testament, however, does not indicate that its writers were agreed as to any formal dogma of the atonement, as regards the relation of the death of Christ to the sinner's restoration to God's favour; but various suggestions are made as to the solution of the problem.

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  • This approximate relation was first systematically developed by the early inhabitants of Mesopotamia, and formed the startingpoint for all their divisions of time.

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  • Darwin's experiments in reference to the movements of climbing and twining plants, and of leaves in insectivorous plants, have opened up a wide field of inquiry as to the relation between plants and the various external factors, which has attracted numerous workers.

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  • To it Sundanese stands in the relation that Low German holds to High German, and the Madurese in the relation of a strongly individualized dialect.

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  • Mayer entirely ignored the grand fundamental principle laid down by Sadi Carnot - that nothing can be concluded as to the relation between heat and work from an experiment in which the working substance is left at the end of an operation in a different physical state from that in which it was at the commencement.

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  • In addition to the Transactions of these societies - many of which contain valuable contributions to their respective departments in their relation to the East Indies - a considerable number of publications are issued in Batavia.

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  • The evidence for this view, that all these agencies are at bottom connected together and parts of the same scheme, was enormously strengthened during the latter half of the 19th century by the development of a relation of simple quantitative equivalence between them; it has been found that we can define quantities relating to them, under the names of mechanical energy, electric energy, thermal energy, and so on, so that when one of them disappears, it is replaced by the others to exactly equal amount.

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  • It thus appears that the doctrine of atomic material constitution and the doctrine of a universal aether stand to each other in a relation of mutual support; if the scheme of physical laws is to be as precise as observation and measurement appear to make it, both doctrines are required in our efforts towards synthesis.

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  • If this relation is true along all paths, the velocity of the aether must be of irrotational type, like that of frictionless fluid.

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  • We may now, as is somewhat the more natural course in the terrestrial application, take axes (x,y,z) which move with the matter; but the current must be invariably defined by the flux across surfaces fixed in space, so that we may say that relation (i) refers to a circuit fixed in space, while (ii) refers to one moving with the matter.

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  • If v varies with respect to locality, or if there is a velocity of convection (p,q,r) variable with respect to direction and position, and analytical expression of the relation (ii) assumes a more complex form; we thus derive the most general equations of electrodynamic propagation for matter treated as continuous, anyhow distributed and moving in any manner.

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  • According to the early disciples Jesus was the Jewish Messiah, and had significance only in relation to the expected Messianic kingdom.

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  • What is the relation of the divine and human natures in Christ?

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  • Meanwhile in the Western Church the subject of sin and grace, and the relation of divine and human activity in salvation, received especial attention; and finally, at the second council of Orange in 529, after both Pelagianism and semi-Pelagianism had been repudiated, a moderate form of Augustinianism was adopted,, involving the theory that every man as a result of the fall is in such a condition that he can take no steps in the direction of salvation until he has been renewed by the divine grace given in baptism, and that he cannot continue in the good thus begun except by the constant assistance of that grace, which is mediated only by the Catholic Church.

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  • But was it possible for the relation between Empire and Papacy to remain what Henry III.

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  • This involved the question of the relation in theology of authority and reason, and of whether the theological method is authoritative or rational.

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  • Abelard, too, started from tradition; but he discovered that the statements of the various authorities are very often in the relation of sic et non, yes and no.

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  • It was this book which first put before the world, with Schwegler's characteristic boldness and clearness, the results of the critical labours of the earlier representatives of the new Tubingen school in relation to the first development of Christianity.

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  • Further ` priest ' implied a peculiar relation to the god.

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  • Further details respecting priestly offices and hereditary priesthoods and the relation of Aaronids to Zadokids will be found briefly discussed in Ency.

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  • It did so with relation not only to the United Kingdom, but, in its after effects, to the world at large.

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  • Its object, as modestly stated in the preface, was "to indicate some of the earliest ideas of mankind, as they are reflected in ancient law, and to point out the relation of those ideas to modern thought."

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  • Scepticism with regard to reason, on the other hand, depends on an insight into the irrational character of the relation which we chiefly employ, viz.

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  • It is not a real relation in objects, but rather a mental habit of belief engendered by frequent repetititon or custom.

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  • All real connexion or relation, therefore, and with it all possibility of an objective system, disappears; it is, in fact, excluded by Hume ab initio, for " the mind never perceives any real connexion among distinct existences."

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  • General McClellan had captured the passes of South Mountain farther east on the 14th, and his Army of the Potomac marched to meet Lee's forces which, hitherto divided, had, by the 16th, successfully concentrated between the Antietam and the Potomac. The Confederate Army of Northern Virginia occupied a position which, in relation to the surrounding country, may be compared to the string of a bow in the act of being drawn, Lee's left wing forming the upper half of the string, his right the lower, and the Potomac in his rear the bow itself.

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  • The psychological theory of cognition takes for granted the dualism of the mind that knows and the object known; it takes no account of the metaphysical problem as to the possibility of a relation between the ego and the non-ego, but assumes that such a relation does exist.

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  • Eventually Mark surprises the two under circumstances which leave no possible room for doubt as to their mutual relation; Tristan flies for his life and takes refuge with Hoel, duke of Britanny.

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  • He also devoted much attention to the study of obscure morbid conditions like hysteria, especially in relation to hypnotism; indeed, it is in connexion with his investigation into the phenomena and results of the latter that his name is popularly known.

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  • To the Pliocene period the marine deposits of the Sahel of Algiers and of the Sahel Jijelli must be attributed; also the lacustrine marls and limestone of the basin of Constantine, and the ancient alluviums of the basins and depressions which bear no relation to the existing valleys.

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  • Mehler, who proved that a simple relation existed between the function of zero order and the zonal harmonic of order n.

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  • Heinrich Eduard Heine has shown that the functions of higher orders may be considered as limiting values of the associated functions; this relation was discussed independently, in 1878, by Lord Rayleigh.

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  • But two things, the extent of the influence of criticism and the relation of archaeology and criticism, yet remain for consideration, in the course of which it will be possible just to indicate some other problems awaiting solution.

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  • Briefly, in conclusion, it remains to consider the relation of Archaeology to Criticism, partly because it is frequently asserted in the loose language just discussed that Archae- Archaeologys overthrown Criticism, or in par- ?' ?

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  • In this way archaeology has greatly helped to bring the history of Israel into relation with the history of the ancient East, and in so doing has raised important questions as to the origin of Hebrew culture.

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  • For example, the recent discovery of the Code of Khammurabi, which contains some remarkable resemblances to the Pentateuchal codes, raises the question of the relation of Hebrew to Babylonian law.

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  • With this purpose in view, he not only notes carefully the length of the reign of each king in both kingdoms, but also (as long as the northern kingdom existed) brings the history of the two kingdoms into relation with one another by equating the commencement of each reign in either kingdom with the year of the reign of the contemporary king in the other kingdom.

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  • The chief of these features is their relation to the writings of St Paul.

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  • More recent investigations have confirmed their view as to the relation of the Alexandrian to the Neutral text, but have thrown doubt on the age and widespread use of the latter.

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  • The various documents which make up the New Testament were to be dated mainly by their relation to the great dispute.

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  • In the same way the beginning of the Jewish year according to the state of the harvest was supplanted by some more fixed relation to the solar year.

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  • But this relation was not, it would seem, regulated by the date, real or supposed, of the equinox.

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  • The new view clears away some manifest difficulties in the reconciliation of the Epistle and the Acts, and the early date for Galatians in relation to the other Pauline epistles is not so improbable as it may seem; but the chronology still appears more satisfactory on the older view, which enables the conversion to be placed at least three years later than on the alternative theory.

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  • The isothermal lines, in fact, suggest that in the vast area of the Pacific something corresponding to the " planetary circulation " is established, further investigation of which may be of extreme value in relation to current inquiries concerning the upper air.

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  • The interpretation which Isaiah puts on this fact depends on the circumstance that at that date religion had never been conceived as a relation between God and individuals, or as a relation between God and a purely spiritual society, but always as a relation between a deity and some natural social group - a stock, a tribe, a nation.

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  • Thus, for the first time in the world's history, the ultimate problem of faith is based on the relation of God to the individual believer; and this problem Jeremiah is compelled to face mainly in relation to his own personality, to assure himself that his own faith is a trLic, possession and lifts him above all the calamities that assail him, in spite of the hopeless ruin of his nation.

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  • Now as soon as the relation of God to a single soul has thus been set free from all earthly conditions the work of prophecy is really complete, for what God has done for one soul He can do for all, but only by speaking to each believer as directly as He does to Jeremiah.

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  • But the claim' to speak in the name of God is one which has often been made - and made sincerely - by others than the prophets of Israel, and which is susceptible of a great variety of meanings, according to the idea of God and His relation to man which is presupposed.

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  • So long as the great problems of religion could be envisaged as problems of the relation of Yahweh to Israel as a nation the prophets continued to speak and to bring forth new truths; but the ultimate result was that it became apparent that the idea of moral government involved the destruction of Israel, and then the function of prophecy was gone because it was essentiall y national in its objects.

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  • But meantime the relation of God to the prophet had acquired an independent significance; the inner life of Isaiah during the long years when his teaching seemed.

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  • Yet it appears to be only an approximate relation, and therefore probably accidental, as the volume by the examples is too large to agree to the cube of the length or to the weight, differing 1/20, or sometimes even as 1/12.

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  • The pre-Greek examples of this cubit in Egypt, mentioned by Böckh (2), give 18.23 as a mean, which is 25 digits of 0.7292 digits, close to 0.729, but has no relation to the 20.63 cubit.

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  • Though it has no exact relation to the congius or amphora, yet it is closely = 4977 grains, the 1/80th of the cubic foot of water.

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  • If, however, the weight in a degraded form, and the foot in an undegraded form, come from the East, it is needless to look for an exact relation between them, but rather for a mere working equivalent, like the 1000 ounces to the cubit foot in England.

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  • A version of Abd-Allatif, Relation arabe sur l'Egypte, and essays on the history of the law of property in Egypt since the Arab conquest (1805-1818).

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  • Was not the universal empire of Rome ready at hand, and might not the new religion have stood to it in the same relation of dependence which the earlier religions had held to the smaller nations and states?

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  • On all the cardinal doctrines - God, matter, the relation of God to the world, freedom and evil - Augustine retained the impress of Neoplatonism; at the same time he is the theologian of antiquity who most clearly perceived and most fully stated wherein Neoplatonism and Christianity differ.

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  • On the relation of Neoplatonism to Christianity, and the historical importance of Neoplatonism generally, see the leading church histories, and the Histories of Dogma by Baur, Nitzsch, Harnack, &c. Compare also Loffler, Der Platonismus der Kirchenvater (1782); Huber, Die Philosophie der Kirchenvdter (1859); Tzchirner, Fall des Heidenthums (1829), pp. 574618; Burckhardt, Die Zeit Constantin's des Grossen (1853); Chastel, Hist.

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  • On the relation of Neoplatonism to Monachism, compare Keim, Aus dem Urchristenthum (1878).

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  • In relation to the earliest social stage, we need consider nothing but the amount of labour employed in the production of an article as determining its exchange value; but in more advanced periods price is complex, and consists in the most general case of three elements - wages, profit and rent.

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  • The relation of the interests of these three classes to those of society at large is different.

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  • A series of sermons on the relation between the discoveries of astronomy and the Christian revelation was published in January 1817, and within a year nine editions and 20,000 copies were in circulation.

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  • This relation between x, a, rn, may be expressed also by the equation x= log m.

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  • A relation which is of historical interest connects the logarithmic function with the quadrature of the hyperbola, for, by considering the equation of the hyperbola in the form xy=const., it is evident that the area included between the arc of a hyperbola, its nearest asymptote, and two ordinates drawn parallel to the other asymptote from points on the first asymptote distant a and b from their point of intersection, is proportional to log bla.

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  • Napier's logarithms are not the logarithms now termed Napierian or hyperbolic, that is to say, logarithms to the base e where e= 2.7182818 ...; the relation between N (a sine) and L its logarithm, as defined in the Canonis Descriptio, being N=10 7 e L/Ip7, so that (ignoring the factors re, the effect of which is to render sines and logarithms integral to 7 figures), the base is C".

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  • Oughtred, from whom the relation of this matter came."

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  • In 1784 the French government decided that new tables of sines, tangents, &c., and their logarithms, should be calculated in relation to the centesimal division of the quadrant.

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  • The task of the palaeontologist thus begins with the appearance of life on the globe, and ends in close relation to the studies of the archaeologist and historian as well as of the zoologist and botanist.

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  • His speculations on phylogeny, or the descent of invertebrates and vertebrates, were, however, most fantastic and bore no relation to palaeontological evidence.

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  • We shall pass over here the labours of Adam Sedgwick (1785-1873) and Sir Roderick Murchison (1792-1871) in the Palaeozoic of England, which because of their close relation to stratigraphy more properly concern geology; but must mention the grand contributions of Joachim Barrande (1799-1883), published in his Systeme silurien du centre de la Boheme, the first volume of which appeared in 1852.

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  • Clearly then the question which the myth of the Primal Man is intended to answer in relation to the whole universe is answered in relation to the nature of man by this account of the coming into being of the first man, which may, moreover, have been influenced by the account in the Old Testament.

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  • Owing to the circumstance that the great majority of the Mexican people own no property, carry on no industry, and are not even to be considered regular productive labourers, the revenues are small in relation to the population and are comparatively inelastic.

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  • Pio Perez (in Stephens, Incidents of Travel in Yucatan) and in the remarkable 16th century Relation de las cocas de Yucatan by Diego de Landa, published by Brasseur de Bourbourg (Paris, 1864).

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  • Each probate court, consisting of a single judge, has jurisdiction within its county of the probate of wills, of the granting of administration, in insolvency proceedings, and in relation to the adoption of children; it may appoint and remove guardians of minors, insane persons and spendthrifts, and, upon application, may change a person's name.

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  • The wife may hold, acquire and manage property the same as if she were single; she is also subject to the same liabilities in relation to her property as a single woman except that no contract or conveyance by her as surety or guarantor for her husband is binding.

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  • Among the grounds for a divorce are adultery, impotency, extreme cruelty, conviction of a crime punishable in the state with imprisonment for more than a year and actual imprisonment under such conviction, treatment seriously injuring the health or endangering the reason, wilful desertion for three years, or joining a religious sect or society which professes to believe the relation of husband and wife unlawful, and conduct in accordance therewith for six months.

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  • Dana introduced the term "as" for this rough kind of lava-stream, whilst he applied the term "pahoehoe" to those flows which have a smooth surface, or are simply wrinkled and ropy; these terms being used in this sense in Hawaii, in relation to the local lavas.

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  • And neither is intelligible, except in relation to the rival theory of Ultramontanism.

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  • We cannot write quite so confidently with regard to the relation of the various pathogenic Trypanosomes to Tsetseflies (Glossinae).

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  • The duplication of the flagellum begins at its proximal end, that which is in relation with the kinetonucleus.

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  • Nevertheless the resemblance between the biology of this organism in relation to syphilis (as regards mode of infection, habitat, &c.) and that of Trypanosoma equiperdum, the cause of dourine or " horse-syphilis," may not be without significance.

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  • But little need be said on the relation of animism and mythology.

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  • The Coptic rite is in the same relation to the Syrian.

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  • Thus we pass from Egoistic to Universalistic hedonism, Utilitarianism, Social Ethics, more especially in relation to the still broader theories of evolution.

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  • One of the most important contributions to the discussion is that of Sir Leslie Stephen (Science of Ethics), who elaborated a theory of the "social organism" in relation to the individual.

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  • He early attained to the settled conviction that for the actual disposition of the solar system some abstract intelligible reason must exist, and this, after much meditation, he believed himself to have found in an imaginary relation between the "five regular solids" and the number and distances of the planets.

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  • The organization of a municipal system, which should regulate the governments of all these towns on a uniform basis, and define their relation to the Roman government, was probably the work of Sulla, who certainly gave great impetus to the foundation in the provinces of citizen colonies, which were the earliest municipia outside Italy, and enjoyed the same status as the Italian towns.

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  • In 1815 he published anonymously in the Annals of Philosophy a paper "On the relation between the specific gravities of bodies in their gaseous state and the weights of their atoms," in which he calculated that the atomic weights of a number of the elements are multiples of that of hydrogen; and in a second paper published in the same periodical the following year he suggested that the rrpcbrn iiXrl of the ancients is realized in hydrogen, from which the other elements are formed by some process of condensation or grouping.

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  • If the rites are not properly performed or not performed by the proper person, no relation is considered as established between the deceased and anybody surviving Livy

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  • The question has often been raised, what is the relation of private cults of ancestors to public religion?

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  • The historical relation of Mani to Christianity is then as follows.

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  • Inasmuch, however, as the floor on which the overlapping strata rest is, like the rest of the Laurentian and Superior Oldland, a worn-down mountain region, and as the lowest member of the sedimentary series usually contains pebbles of the oldiand rocks, the better interpretation of the relation between the two is that the visible oldiand area of to-day is but a small part of the primeval continent, the remainder of which is still buried under the Palaeozoic cover; and that the visible oldiand, far from being the first part of the continent to rise from the primeval ocean, was the last part of the primeval continent to sink under the advancing Palaeozoic seas.

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  • The drift deposits thereabouts are so heavy that the present divides between the drainage basins of Hudson Bay, Lake Superior and the Gulf of Mexico evidently stand in no very definite relation to the preglacial divides.

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  • The plains may be described in northern, intermediate, central and southern sections, in relation to certain peculiar features.

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  • That the chalk was deposited in shallow, clear seas is indicated both by the character of the fossils other than foraminifera and by the relation of the chalk to the elastic portions of the series.

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  • These great changes in the relation of land and water, and in topography, led to correspondingly great changes in life, and the combination marks the transition from the Mesozoic to the Cainozoic era.

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  • The Pliocene system stands in much the same stratigraphic relation to the Miocene as the Miocene does to the Eocene.

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  • One of the best indications of actual winter weather, as apart from the arrival of winter by the calendar, is the development of cyclonic disturbances of such strength that the change frcm their warm, sirocco-like southerly inflow hi front of their centre, to the cold wave of their rear produces lion-periodic temperature changes strong enough to overcome the weakened diurnal temperature changes of the cold season, a relation which practically never occurs in summer time.

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  • It is a system amply provided with checks and balances; it recognizes and enforces the principle of popular sovereignty, while subjecting that principle to many checks in practice; and it is well calculated to maintain unchanged the relation of its component parts each to the other.

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  • Of recent years the growing stringency of both national and local finances by enormously increased disbursements has made important the question of the relation of national with state and local taxation.

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  • The chief conclusions of astronomers concerning the .spherical figure and dimensions of the earth, its relation to the heavenly bodies, and the great circles of the globe - the equator, the ecliptic and the tropics - were considered as well established.

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  • He lays stress on the relation of the supposed confession of faith of Constantine, embodied in the forgery, to that issued by the emperor Constantine V., pointing out the efforts made by the Byzantines between 756 and the synod of Gentilly in 767 to detach Pippin from the cause of Rome and the holy images.

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  • Respecting its relation to the Octavius of Minucius Felix much has been written; to the present writer it seems unquestionable that Tertullian's work was the later.

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  • On the other hand, in the Metaphysics, the distinction between inherence and predication disappears; and what is more, the relation of an attribute to a substance is regarded as so close that an attribute is merely the substance modified.

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  • The only logical conclusion is that the Categories, being nearer to Plato on the nature of attributes, and still nearer on the relation of universals to substances, is earlier than the Metaphysics.

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  • We have therefore to ask, first who was the author, and secondly what is the relation of the Rhetoric to Alexander to the Rhetoric, which nowadays alone passes for genuine.

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  • What is the relation between these two genuine Rhetorics?

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  • If he did not, the question still remains, what is the internal relation between these two genuine Rhetorics ?

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  • Strange as this point is, it is still stranger that not one of these internal evidences is brought into relation with induction and deduction.

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  • The Common Practice Was To Make Occasional Corrections As They Became Necessary, In Order To Preserve The Relation Between The Octennial Period And The State Of The Heavens; But These Corrections Being Left To The Care Of Incompetent Persons, The Calendar Soon Fell Into Great Disorder, And No Certain Rule Was Followed Till A New Division Of The Year Was Proposed By Meton And Euctemon, Which Was Immediately Adopted In All The States And Dependencies Of Greece.

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  • Similar myths are found in relation to the Finnish smith-god Ilmarinen, who made a golden woman, and the Teutonic Wieland; a belief in the magical power of metal-workers is a common survival from an age in which their art was new and mysterious.

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  • The relation between Hephaestus and Prometheus is in some respects close, though the distinction between these gods is clearly marked.

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  • Kaikobad extended his rule as far as this city, and desisted from further conquest only on condition that the Armenian princes would enter into the same kind of relation to the Seljuks as had been imposed on the Comnenians of Trebizond.

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  • The relation of the vagina to the peritoneum is noticed under Coelum and Serous Membranes.

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  • By the Chinese it is not considered a separate city, but as a suburb of the now decadent city of Hanyang; and it may almost be said to stand in a similar relation to Wu-chang the capital of the province of Hupeh, which lies immediately opposite on the southern bank of the Yangtsze-kiang.

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  • Further information concerning these instruments and the state of hydrometry in 1803 will be found in Atkins's pamphlet On the Relation between the Specific Gravities and the Strength of Spirituous Liquors (1803); or Phil.

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  • The relation between employer and employee is in the main far more personal and kindly than in the mills of the Northern States.

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