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degree

degree

degree Sentence Examples

  • Every child feels displaced to some degree when a new sibling arrives.

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  • That made some degree of sense.

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  • He was right, to a degree It isn't the past that I'm pitching you, Alex.

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  • To some degree, Katie had been right.

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  • The only words she had learned to pronounce with any degree of distinctness previous to March, 1890, were PAPA, MAMMA, BABY, SISTER.

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  • You're the one with a degree in animal husbandry.

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  • No doubt, it defanged him to some degree as well.

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  • The armature consists of a bony case, partly composed of solid buckler-like plates, and partly of movable transverse bands, the latter differing in number with the species, and giving to the body a considerable degree of flexibility.

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  • First, in the magnitude of what it claims, and second, in the degree to which it differs from what pessimists predict.

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  • On the other end of the education spectrum, college degrees are up: A recent Harvard University study reports that 6.7 percent of the world has a college degree, up from 5.9 percent in 2000.

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  • His courage, his bodily strength and size, his skill in the use of weapons, in riding, and in the chase, his speed of foot, his capacity for eating and drinking, his penetrating intellect and his mastery of 22 languages are celebrated to a degree which is almost incredible.

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  • It had been in the back of her mind, but the babies had overridden even that degree of intimacy.

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  • The following sketch of the manufacturing industry of France takes account chiefly of those of its branches which are capable in some degree of localization.

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  • The university of Aberdeen conferred upon him the honorary degree of D.D.

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  • degree in 1553, and became B.D.

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  • Having studied medicine at Paris, Lucas took the degree of M.D.

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  • The connexion of the Pterobranchia with the Polyzoa is in the highest degree questionable.

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  • Sonya, Dolokhov, and the old countess were especially disturbed, and to a lesser degree Natasha.

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  • For the pressure coefficient per degree, between o° and Ice C., they give the value 0036-6255, when the initial pressure is 700 mm.

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  • The principal things to be attended to are to preserve a moderate state of moisture and a proper mild degree of warmth; and the treatment must vary according to the season.

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  • The technical high school, which since 1899 has possessed the right to confer the degree of doctor of engineering, practically enjoys academic status and so do the veterinary high school and the school of art.

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  • He took immense pains with his work, and to some degree anticipated the modern scientific method of writing history.

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  • Without that degree of mental development and activity which perceives the necessity of superhuman creative power, no explanation of natural phenomena is possible.

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  • His presence was intense but calming, almost to the degree she had the urge to lean against him and let his huge hands roam her body, grip her from behind and pull her … Crunching from behind her broke the spell.

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  • I didn't get a degree in animal husbandry so I could sit in the house knitting booties.

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  • The material was sand of every degree of fineness and of various rich colors, commonly mixed with a little clay.

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  • He had in the highest degree a practical tenacity which Pierre lacked, and without fuss or strain on his part this set things going.

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  • After being professor of philosophy at several provincial universities, he received the degree of doctor, and came to Paris in 1858 as master of conferences at the Ecole Normale.

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  • A solemn meeting of the lodge of the second degree was convened, at which Pierre promised to communicate to the Petersburg Brothers what he had to deliver to them from the highest leaders of their order.

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  • The degree of freedom and inevitability governing the actions of these people is clearly defined for us.

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  • Fleeming Jenkin was educated at first in Scotland, but in 1846 the family went to live abroad, owing to financial straits, and he studied at Genoa University, where he took a first-class degree in physical science.

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  • If chemical compounds can be proved by experiment to obey these laws, then the atomic theory acquires a high degree of probability; if they are contradicted by experiment then the atomic theory must be abandoned, or very much modified.

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  • Her speech lacks variety and modulation; it runs in a sing-song when she is reading aloud; and when she speaks with fair degree of loudness, it hovers about two or three middle tones.

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  • All that churning of sand and dust disguised their trail to some degree, but nothing could hide the trail of five heavy wagons.

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  • Alex is the traditional king of the castle and you are – at least to some degree – subservient.

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  • We've been trying to help put her through a good school for her advanced degree, so she can start working some place and make decent money.

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  • But after two hours with Cynthia Byrne, he had to fight the inclination to take all of her comments at face value, thereby kissing off any degree of objectivity.

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  • It must have helped, at least to some degree, because when he spoke again outside her door, his voice was controlled.

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  • Fitzgerald listed a college degree, birth in Ouray, and nineteen years in law enforcement, the last eleven in administrative duty.

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  • She said she did not consider a degree of any real value, but thought it was much more desirable to do something original than to waste one's energies only for a degree.

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  • degree at Pembroke College, Cambridge, in 1560, and the witty and sometimes coarse character of his acknowledged work makes it reasonable to suppose that he may have been a coadjutor of the author.

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  • On the 11th of May 1820 he took his doctor's degree; in the same year he qualified as Privatdozent at the university of Erlangen.

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  • The fact that in tabby Persians the body-markings are never so strong as in the short-haired breeds is in some degree confirmatory of this, as suggesting descent from a nearly wholecoloured type.

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  • Though under thirty years of age, he became all over Europe, and in an exceptional degree in France, the leader, organizer and consolidator of the Reformation.

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  • In the extreme north a little over a degree and a half of territory lies within the torrid zone, extending from the Pilcomayo about 500 m.

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  • But during the night the fury of the wind increased to such a degree that it thrilled us with a vague terror.

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  • The contemptuously respectful attitude of the younger men to the old man in his dotage was expressed in the highest degree by the behavior of Chichagov, who knew of the accusations that were being directed against Kutuzov.

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  • Let us now imagine what degree of transparency of air is admitted by its molecular constituents, viz.

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  • JOHN MILL (c. 1645-1707), English theologian, was born about 1645 at Shap in Westmorland, entered Queen's College, Oxford, as a servitor in 166r, and took his master's degree in 1669 in which year he spoke the "Oratio Panegyrica" at the opening of the Sheldonian Theatre.

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  • The degree of our conception of freedom or inevitability depends in this respect on the greater or lesser lapse of time between the performance of the action and our judgment of it.

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  • Only by the inner purification of myself can I retain in some degree of purity the liquid I receive.

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  • He seized Anatole by the collar of his uniform with his big hand and shook him from side to side till Anatole's face showed a sufficient degree of terror.

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  • Again, it is quite certain that the spiritual matters upon which concordats bear do not concern the two powers in the same manner and in the same degree; and in this sense concordats are not perfectly equal agreements.

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  • Instead of these are cats with more or less abbreviated tails, showing in greater or less degree a decided kink or bend near the tip. In other cases the tail is of the short curling type of that of a bulldog; sometimes it starts quite straight, but divides in a fork-like manner near the tip; and in yet other instances it is altogether wanting, as in the typical Manx cats.

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  • Men of almost every degree of wit called on me in the migrating season.

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  • In pure algebra Descartes expounded and illustrated the general methods of solving equations up to those of the fourth degree (and believed that his method could go beyond), stated the law which connects the positive and negative roots of an equation with the changes of sign in the consecutive terms, and introduced the method of indeterminate coefficients for the solution of equations.'

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  • Had he not seen the possibility of, and passionately desired, the regeneration of the sinful human race, and his own progress to the highest degree of perfection?

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  • Everything is strained to such a degree that it will certainly break, said Pierre (as those who examine the actions of any government have always said since governments began).

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  • Our conception of the degree of freedom often varies according to differences in the point of view from which we regard the event, but every human action appears to us as a certain combination of freedom and inevitability.

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  • The original atmosphere of the residence has been retained, with the much smaller residential rooms functioning as five separate dining areas offering a degree of intimacy that is perfect for small groups and gatherings.

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  • A volume of the diluted yeast was introduced into flasks containing sterilized wort, the degree of dilution being such that only a small proportion of the flasks became infected.

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  • He permitted laymen to hold certain public offices, under surveillance of the prelates, organized a guard from among the Roman nobility, decreed a plan for redeeming the base coinage, permitted the communes a certain degree of municipal liberty, and promised the liquidation of the public debt.

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  • So long as the particles are all very small in comparison with the wave-length, there is complete polarization in the perpendicular direction; but when the size is such that obliquity sets in, the degree of obliquity will vary with the size of the particles, and the polarization will be complete only on the very unlikely condition that the size is the same for them all.

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  • Though the rule of Podébrad had proved very successful and Bohemia had under it obtained a degree of prosperity which had been unknown since the time of Charles IV., the Calixtine king had many enemies among the Romanist members of the powerful Bohemian nobility.

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  • He took his doctor's degree in 1843, and almost immediately received an appointment as assistant-surgeon at the Charite Hospital, becoming pro-rector three years later.

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  • He was a model steward, possessing in the highest degree the faculty of divining the needs and instincts of those he dealt with.

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  • Colleges offer degree programs in Shakespeare.

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  • The thought of going to college took root in my heart and became an earnest desire, which impelled me to enter into competition for a degree with seeing and hearing girls, in the face of the strong opposition of many true and wise friends.

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  • It may be compared in some degree to such European societies as the Carbonara, Young Italy, the Tugendbund, the Confreries of France, the Freemasons in Catholic countries, and the Vehmgericht.

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  • The Saskatchewan, though not in the province, empties into Lake Winnipeg less than half a degree from the northern boundary.

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  • In 1760 he renewed his political pamphleteering; and having obtained a pardon from George III., he proceeded to Dublin, where he received a popular welcome and a Doctor's degree from Trinity College.

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  • whether run by steam, water-power or other motive forces, has played a great part in the promotion of industry; the increase in the amount of steam horse-power employed in industrial establishments is, to a certain degree, an index to the activity of the country as regards manufactures.

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  • But I contend that only matters of degree separate it from the weightier matters we conventionally associate with wisdom.

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  • degree at Leiden in 1721.

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  • Most of the birds also are derived from the distant Indian region, while the IndoBurmese and Indo-Malayan regions are represented to a far less degree.

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  • As in other cases where animal colonies are formed by organic union of separate individuals, there is ever a tendency for the polyp-colony as a whole to act as a single individual, and for the members to become subordinated to the needs of the colony and to undergo specialization for particular functions, with the result that they simulate organs and their individuality becomes masked to a greater or less degree.

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  • The theory that the medusa is simply an organ, which has become detached and has acquired a certain degree of independence, like the well-known instance of the hectocotyle of the cuttle-fish.

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  • - The gonophores are reduced in varying degree, it may be to sporosacs; they are budded successively from the blastostyle, and each in turn, when ripe, protrudes the spadix.

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  • This is in some degree parallel to the cases described above, in which a planula gives rise to the hydrorhiza, and buds a polyp laterally.

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  • He recognizes gradations of things according to the degree of complexity of their movements and that of their conceptions.

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  • To Spinoza (as Kuno Fischer observes) man differs from the rest of nature in the degree only and not in the kind of his powers.

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  • Lewes points out that Leibnitz is inconsistent in his account of the intelligence of man in relation to that of lower animals, since when answering Locke he no longer regards these as differing in degree only.

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  • For it is almost impossible to prove that any structure, however rudimentary, is useless - that is to say, that it plays no part whatever in the economy; and, if it is in the slightest degree useful, there is no reason why, on the hypothesis of direct creation, it should not have been created.

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  • SIR CHRISTOPHER WREN (1632-1723), English architect, the son of a clergyman, was born at East Knoyle, Wiltshire, on the 10th of October 1632; he entered at Wadham College, Oxford, in 1646, took his degree in 1650, and in 1653 was made a fellow of All Souls.

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  • Cells of this type are often called trumpet-hyphae (though they have no connection with the hyphae of Fungi), and in some genera of Laminariaceae those at the periphery of the medulla simulate the sieve-tubes of the higher plants in a striking degree, even (like these latter) developing the peculiar substance callose on or in the perforated cross-walls or sieve-plates.

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  • This is the case in the Fucaceae, and in a very marked degree in the Laminariaceae in question, where the assimilative frond is borne at the end of an extremely long supporting and conducting stipe.

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  • The gametophyte, which bears the sexual organs, is either a free-living thallus corresponding in degree of differentiation with the lower liverworts, or it is a mass of cells which always remains enclosed in a spore and is parasitic upon the sporophyte.

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  • But the French army was already completely out of hand, and the degree to which the panic of a crowd can master even the strongest instinct of the individual is shown by the conduct of the fugitives who crowded over the bridges, treading hundreds under foot, whilst all the time the river was easily fordable and mounted men rode backwards and forwards across it.

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  • But it probably pleased Mme de Stael to quite an equal degree that Napoleon should apparently put forth his power to crush her and fail.

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  • But to state this alone would be in the highest degree unfair.

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  • They teach further the solution of problems leading to equations of the first and second degree, to determinate and indeterminate equations, not by single and double position only, but by real algebra, proved by means of geometric constructions, and including the use of letters as symbols for known numbers, the unknown quantity being called res and its square census.

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  • In the Letter to Magister Theodore indeterminate problems are chiefly worked, and Leonardo hints at his being able to solve by a general method any problem of this kind not exceeding the first degree.

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  • The coast-line of Melville Bay (the northern part of the west coast) is to some degree an exception, though the fjords may here be somewhat filled with glaciers, and, for another example, it may be noted that Peary observed a marked contrast on the north coast.

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  • As in the rest of Indo-China, there is no hereditary nobility, but there exist castes founded on blood relationship - the members of the royal family within the fifth degree (the Brah-Vansa) those beyond the fifth degree (BrahVan), and the Bakou, who, as descendants of the ancient Brahmans, exercise certain official functions at the court.

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  • The Cambodians show skill in working gold and silver; earthenware, bricks, mats, fans and silk and cotton fabrics, are also produced to some small extent, but fishing and the cultivation of rice and in a minor degree of tobacco, coffee, cotton, pepper, indigo, maize, tea and sugar are the only industries worthy of the name.

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  • The ties which bound him to England were now severed, and his health was broken to such a discouraging degree that he determined to remove to another hemisphere.

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  • The Act of 1872 provided for five or more colleges or departments: a college of science, literature and the arts, which offers (for the degree of Bachelor of Arts) a four-years course, is entirely elective (except that a certain number of " long courses " must be selected) after the first year, and in which the only restriction is upon the range of subjects from which the student's choice may be made; a college of agriculture (including military tactics), which is now a " department," including a college and a school of agriculture, a short course for farmers, a dairy school, the Crookston school of agriculture, a main experiment station at St Anthony Park, between Minneapolis and St Paul, and sub-stations 1 m.

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  • In addition to these departments provided for in the organic act, the university included in 1909 colleges of dentistry (three-year course), pharmacy (two-year and three-year courses), a school of mines (1891; four-year course, leading to the degree of Engineer of Mines or Metallurgical Engineer), a school of analytical and applied chemistry (four-year courses, leading to the degree of Bachelor in Science in Chemistry, or in Chemical Engineering), a college of education (1906; three-year course, after two years of college work, leading to a Master's degree), a graduate school (with courses leading to the degrees of Master of Arts, of Science and of Laws, and of Doctor of Philosophy, of Science and of Civil Law), and a university summer school.

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  • The township's principal industry is the manufacture of cotton goods, the value of which in 1905 ($4,621,261) was 84.1% of the value of the township's total factory products; in 1905 no other place in the United States showed so high a degree of specialization in this industry.

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  • Given that such observations at the surface of the sea, at intermediate levels and at the bottom are sufficiently numerous and are of a high degree of precision, general conclusions as to the movements of the ocean may be deduced from established theorems in hydrodynamics.

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  • Perfectly pure distilled sea-water dissociates, to an infinitesimal degree, into hydrogen (H) and hydroxyl (HO) ions, so that one litre of such water contains 1 X 10 7, or 1 part of a gram-molecule of either hydr010,000,000 gen or hydroxyl (a gramme-molecule of hydrogen is 2 grammes, or of hydroxyl 17 grammes).

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  • A considerable degree of denitrification must, therefore, take place in the ocean, for the concentration of combined nitrogen is always excessively small.

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  • Differences of temperature and atmospheric pressure must disturb this equilibrium, but the movements of both ocean and atmosphere lead to a high degree of uniformity in both envelopes as regards their gaseous constitutions.

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  • His daughter Dorothea, born on the 10th of August 1770, was one of the most beautiful and learned women of her time, and received in 1787 the degree of doctor.

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  • The health of the city of Hamburg and the adjoining district may be described as generally good, no epidemic diseases having recently appeared to any serious degree.

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  • if I be the change in the internal energy, the relation referred to gives us the equation A = I +T (dA/dT), where dA/dT denotes the rate of change of the available energy of the system per degree change in temperature.

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  • This was originally worn only by slaves, soldiers and other people of low degree; in the 3rd century, however, it was adopted by fashionable people as a convenient riding or travelling cloak; and finally, by the sumptuary law of 382 (Cod.

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  • But if he lacked the brilliant qualities of his impulsive, jovial father, he possessed in a high degree the compensating virtues of moderation, sobriety and self-control.

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  • The towns, in most cases creations of the rulers of Bohemia who had called in German immigrants, were, with the exception of the "new town" of Prague, mainly German; and in consequence of the regulations of the university, Germans also held almost all the more important ecclesiastical offices - a condition of things greatly resented by the natives of Bohemia, which at this period had reached a high degree of intellectual development.

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  • - The micas are characterized by a very easy cleavage in a single direction and by the high degree of flexibility, elasticity and toughness of the extremely thin cleavage flakes.

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  • For his services he was created a viscount in 1913, and in 1914 his old university, Oxford, gave him an honorary degree.

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  • When a skew symmetric determinant is of even degree it is a perfect square.

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  • If al, a2, ...a, n be the roots of f=o, (1, R2, -Ai the roots of 0=o, the condition that some root of 0 =o may qq cause f to vanish is clearly R s, 5 =f (01)f (N2) � �;f (Nn) = 0; so that Rf,q5 is the resultant of f and and expressed as a function of the roots, it is of degree m in each root 13, and of degree n in each root a, and also a symmetric function alike of the roots a and of the roots 1 3; hence, expressed in terms of the coefficients, it is homogeneous and of degree n in the coefficients of f, and homogeneous and of degree m in the coefficients of 4..

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  • The resultant being a product of mn root differences, is of degree mn in the roots, and hence is of weight mn in the coefficients of the forms; i.e.

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

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  • He first divides by the factor x -x', reducing it to the degree m - I in both x and x' where m>n; he then forms m equations by equating to zero the coefficients of the various powers of x'; these equations involve the m powers xo, x, - of x, and regarding these as the unknowns of a system of linear equations the resultant is reached in the form of a determinant of order m.

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  • CY The proof being of general application we may state that a system of values which causes the vanishing of k polynomials in k variables causes also the vanishing of the Jacobian, and in particular, when the forms are of the same degree, the vanishing also of the differential coefficients of the Jacobian in regard to each of the variables.

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

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  • Hence, finally, the resultant is expressed in terms of the coefficients of the three equations, and since it is at once seen to be of degree mn in the coefficient of the third equation, by symmetry it must be of degrees np and pm in the coefficients of the first and second equations respectively.

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  • If three equations, each of the second degree, in three variables be given, we have merely to eliminate the six products x, 2, z 2, yz, zx, xy from the six equations u = v = w = o = oy = = 0; if we apply the same process :to thesedz equations each of degree three, we obtain similarly a determinant of order 21, but thereafter the process fails.

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  • It is the resultant of k polynomials each of degree m-I, and thus contains the coefficients of each form to the degree (m-I)'-1; hence the total degrees in the coefficients of the k forms is, by addition, k (m - 1) k - 1; it may further be shown that the weight of each term of the resultant is constant and equal to m(m-I) - (Salmon, l.c. p. loo).

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  • The degree of the separation is the sum of the degrees of the component separates.

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  • The weight of the function is the sum of the numbers in the bracket, and the degree the highest of those numbers.

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  • (1n), are all of the first degree, and are of weights I, 2, 3,...n respectively.

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  • THE Theory Of Binary Forms A binary form of order n is a homogeneous polynomial of the nth degree in two variables.

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  • If the variables of the quantic f(x i, x 2) be subjected to the linear transformation x1 = a12Et2, x2 = a21E1+a2252, E1, being new variables replacing x1, x 2 and the coefficients an, all, a 21, a22, termed the coefficients of substitution (or of transformation), being constants, we arrive at a transformed quantic f% 1tn n n-1 n-2 52) = a S +(1)a11 E 2 + (2)a2E1 E 2 +��� in the new variables which is of the same order as the original quantic; the new coefficients a, a, a'...a are linear functions 0 1 2 n of the original coefficients, and also linear functions of products, of the coefficients of substitution, of the nth degree.

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  • = a k; and if we wish to denote, by umbrae, a product of coefficients of degree s we employ s sets of umbrae.

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  • We write;L 22 = a 1 a 2 .b 1 n-2 b2s 3 n - 3 3 n-3 3 n-3 3 a 3 = a 1 a 2 .b 1 b 2 .c 1 c2, and so on whenever we require to represent a product of real coefficients symbolically; we then have a one-to-one correspondence between the products of real coefficients and their symbolic forms. If we have a function of degree s in the coefficients, we may select any s sets of umbrae for use, and having made a selection we may when only one quantic is under consideration at any time permute the sets of umbrae in any manner without altering the real significance of the symbolism.

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  • The degree of the covariant in the coefficients is equal to the number of different symbols a, b, c, ...

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  • the orders of the quantic and covariant, and the degree and weight of the leading coefficient; calling these 'n, e,' 0, w respectively we can see that they are not independent integers, but that they are invariably connected by a certain relation n9 -2w = e.

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  • Moreover, if we add the first to the fourth we obtain aj 2w ak = 7 1=6, j, =0j, where 0 is the degree of the invariant; this shows, as we have before observed, that for an invariant w= - n0.

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  • An instantaneous deduction from the relation w= 2 n0 is that forms of uneven orders possess only invariants of even degree in the coefficients.

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  • If 0 be the degree of an invariant j - aj aj a; oj =a ° a a o +al aa l +...

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  • The discriminant is the resultant of ax and ax and of degree 8 in the coefficients; since it is a rational and integral function of the fundamental invariants it is expressible as a linear function of A 2 and B; it is independent of C, and is therefore unaltered when C vanishes; we may therefore take f in the canonical form 6R 4 f = BS5+5BS4p-4A2p5.

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  • Its symbolic expression, to a numerical factor pres, is (Hbc) (Hbd) (Hcd) (bcd), and it is clearly of degree 6.

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  • This is of degree 8 in the coefficients, and degree 6 in the variables, and, for the canonical form, has the expression -9m 6 (x 3 +y 3 +z 3) 2 - (2m +5m 4 +20m 7) (x3 +y3+z3)xyz - (15m 2 +78m 5 -12m 8) Passing on to the ternary quartic we find that the number of ground forms is apparently very great.

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  • 198-237, 1881) has determined all up to and including the 5th degree in the coefficients.

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  • The general equation of degree 5 cannot be solved algebraically, but the roots can be expressed by means of elliptic modular functions.

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  • One advantage we have obtained is that, if we now write ao =o, and substitute a 8 _ 1 for a,, when s>o, we obtain d d aO da l +al da 2 +a2 da �....+an_2dan_1 which is the form of SZ for a binary (n- Henceby merely diminishing each suffix in a seminvariant by unity, we obtain another seminvariant of the same degree, and of weight w-8, appertaining to the (n-I) ic. Also, if we increase each suffix in a seminvariant, we obtain terms, free from a 0, of some seminvariant of degree 8 and weight w+8.

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  • Observe that, if we subject any symmetric function the diminishing process, it becomes ao 1 - P2 (p2p3...)� Next consider the solutions of 0=o o which are of degree 0 and weight w.

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  • denominator factors, that the complete system of the quadratic is composed of the form itself of degree order I, 2 shown by az 2, and of the Hessian of degree order 2, o shown by a2.

    1
    0
  • Again, for the cubic, we can find A3(z) - -a6z6 1 -az 3.1 -a 2 z 2.1 -a 3 z 3.1 -a4 where the ground forms are indicated by the denominator factors, viz.: these are the cubic itself of degree order I, 3; the Hessian of degree order 2, 2; the cubi-covariant G of degree order 3, 3, and the quartic invariant of degree order 4, o.

    1
    0
  • Putting n equal to co, in a generating function obtained above, we find that the function, which enumerates the asyzvgetic seminvariants of degree 0, is 1 1-z2.1-z3.1-z4....1-z0 that is to say, of the weight w, we have one form corresponding to each non-unitary partition of w into the parts 2, 3, 4,...0.

    1
    0
  • Ex, gr., of degree 3 weight 8, we have the two forms (322), a(24).

    1
    0
  • When 0=4 it is clear that no form, whose partition contains a part 3, can be reduced; but every form, whose partition is composed of the parts 4 and 2, is by elementary algebra reducible by means of perpetuants of degree 2.

    1
    0
  • symbolically, to be the fundamental form of seminvariant of degree 0 and weight w; he observes that every form of this degree and weight is a linear lic expressions.

    1
    0
  • a irl a� 2 a a3 ...Ev 1 02 2 ?3 3 ...; and, if we express Ea l v2 2 0-3 3 in terms of A2, A3 i ..., and arrange the whole as a linear function of products of A2, A3,..., each coefficient will be a seminvariant, and the aggregate of the coefficients will give us the complete asyzygetic system of the given degree and weight.

    1
    0
  • When the proper degree 0 is < w a factor ao -e must be of course understood.

    1
    0
  • Therefore every form of degree 2, except of course that one whose weight is zero, is a perpetuant.

    1
    0
  • The generating function is I - z2' 52 For 0 =3, (alai +a2a2+a3a3) 10; the condition is clearly a1a2a3 = A3 = 0, and since every seminvariant, of proper degree 3, is associated, as coefficient, with a product containing A3, all such are perpetuants.

    1
    0
  • Again, if 0 is uneven =20+I, the condition is a 1 a 2 ...cr 241 II(a 1 +a 2)II(cr 1 +a 2 +(73)...II(a 1 +a 2 +...+ac) =0; and the degree, in the quantities a, is 20+1 + (42+1) +(21) �...-F(254)�1) =22°-1= 2e-1-1 Hence the lowest weight of a perpetuant is 2 0 - 1 -1, when 0 is >2.

    1
    0
  • (1-20) The actual form of a perpetuant of degree 0 has been shown by MacMahon to be +1 K0_1+1 K 3+20-4 K2, 01, 0-2, 0-3, ...3, 2), K 0, Ke -1, ...K 2 being given any zero or positive integer values.

    1
    0
  • A Similar Theorem Holds In The Case Of Any Number Of Binary Forms, The Mixed Seminvariants Being Derived From The Jacobians Of The Several Pairs Of Forms. If The Seminvariant Be Of Degree 0, 0' In The Coefficients, The Forms Of Orders P, Q Respectively, And The Weight W, The Degree Of The Covariant In The Variables Will Be P0 Qo' 2W =E, An Easy Generalization Of The Theorem Connected With A Single Form.

    1
    0
  • The General Term Of A Seminvariant Of Degree 0, 0 And Weight W Will Be A A A Appb°Ob°1B°2...B°4 _ 0 1 2 P 0 1 2 Q P Q P Q Where Ep S =0, Eas=0 And Esp, A Es,=W.

    1
    0
  • Proceeding as we did in the case of the single binary form we find that for a given total degree 0+0', the condition which expresses reducibility is of total degree in the coefficients a and T; combining this with the knowledge of the generating function of asyzygetic forms of degrees 0, 0', we find that the perpetuants, of these degrees are enumerated by z26"'-11 -z.

    1
    0
  • It may denote a simultaneous orthogonal invariant of forms of orders n i, n2, n3,...; degree 0 of the covariant in the coefficients.

    1
    0
  • After being cure successively of two villages in that diocese, Loisy went in May 1881, to study and take a theological degree, to the Institut Catholique in Paris.

    1
    0
  • He took his theological degree in March 1890, by the oral defence of forty Latin scholastic theses and by a French dissertation, Histoire du canon de l'ancien testament, published as his first book in that year.

    1
    0
  • As early as 1655 the university of Angers had distinguished him with an honorary degree of doctor of laws.

    1
    0
  • At the same time the silver is brought to the required degree of fineness, usually by the use of nitre.

    1
    0
  • Pure lead isa feebly lustrous bluishwhite metal, endowed with a characteristically high degree of softness and plasticity, and almost entirely devoid of elasticity.

    1
    0
  • The Ephthalites invaded and plundered Persia for two years, till at last a noble Persian from the old family of Karen, Zarmihr (or Sokhra), restored some degree of order.

    1
    0
  • EDWARD HENRY STANLEY, 15th earl of Derby (1826-1893), eldest son of the 14th earl, was educated at Rugby and Trinity College, Cambridge, where he took a high degree and became a member of the society known as the Apostles.

    1
    0
  • Late in the same year, accordingly, he entered the medical school of Padua, where he remained until 1505, having taken meanwhile a doctor's degree in canon law at Ferrara on the 31st of May 1503.

    1
    0
  • He received the honorary degree of Litt.

    1
    0
  • be immediately derived, because the ratios of distances in the solar system are known with the last degree of of precision.

    1
    0
  • In each case the results of the observations may be systematically in error, not only from the uncertain diameter of the moon, but in a still greater degree from the varying effect of irradiation and the personal equation of the observers.

    1
    0
  • The story of the famous kiss bestowed by Margaret of Scotland on la precieuse bouche de laquelle sont issus et sortis taut de bons mots et vertueuses paroles is mythical, for Margaret did not come to France till 1436, after the poet's death; but the story, first told by Guillaume Bouchet in his Annales d'Aquitaine (1524), is interesting, if only as a proof of the high degree of estimation in which the ugliest man of his day was held.

    1
    0
  • Iron and its alloys, including the various kinds of steel, though exhibiting magnetic phenomena in a pre-eminent degree, are not the only substances capable of magnetization.

    1
    0
  • We get therefore M 2 = MH X M/H = 27r 2 A(d 2 - l 2) 2 tan 0/t 2 d (42) s H 2 =Mhxh/M = 87r 2 Ad/tt 2 (d 2 -1 2) 2 tan B} (43) When a high degree of accuracy is required, the experiments and calculations are less simple, and various corrections are applied.

    1
    0
  • On the other hand, the form of the third curve, with its large intercepts on the axes of H and B, denotes that the specimen to which it relates possesses both retentiveness and coercive force in a high degree; such a metal would be chosen for making good permanent magnets.

    1
    0
  • On the other hand, a very high degree of accuracy is not claimed for the results.

    1
    0
  • Later researches have however thrown much new light upon a class of phenomena which cannot fail to have an important bearing upon the complete theory of 1 The same phenomenon is exhibited in a less marked degree when soft iron is magnetized in stronger fields (Ewing, Phil.

    1
    0
  • The experiments were not sufficiently numerous to indicate whether, as is possible, there is a critical degree of hardness for which the height of the elongation curve is a maximum.

    1
    0
  • Honda, measured the changes of length of various metals shaped in the form of ovoids instead of cylindrical rods, and determined the magnetization curves for the same specimens; a higher degree of accuracy was thus attained, and satisfactory data were provided for testing theories.

    1
    0
  • The latter found the effect to be enormous, not only upon the induced magnetization, but in a, still greater degree upon the residual.

    1
    0
  • If, however, the molecules could turn with perfect freedom, it is clear that the smallest magnetizing force would be sufficient to develop the highest possible degree of magnetization, which is of course not the case.

    1
    0
  • We have no measure of the degree of power manifested by various animals - though it would be possible to arrive at some conclusions as to how that "power" should be estimated.

    1
    0
  • The influence of the Testaments of the Twelve Patriarchs is still more apparent in the Pauline Epistles and the Gospels, and the same holds true of Jubilees and the Assumption of Moses, though in a very slight degree.

    1
    0
  • Thus the degree of estimation in which the apocryphal books have been held in the church has varied much according to place and time.

    1
    0
  • In algebra he discovered the method of approximating to the real roots of an equation by means of continued fractions, and imagined a general process of solving algebraical equations of every degree.

    1
    0
  • With such an enormous geographical range the species must of necessity present itself under a considerable number of local phases, differing from one another to a greater or less degree in the matters of size and colouring.

    1
    0
  • Young foxes can be tamed to a certain extent, and do not then emit the well-known odour to any great degree unless excited.

    1
    0
  • degree.

    1
    0
  • But, if his truculent character was thus early displayed, his abilities were no less conspicuous; and, though still in his teens, he became lecturer on the Humanities at Tournai, whence, after but a short stay, he returned to Paris, to take his degree of doctor of canon law, and become regent of the college of Navarre.

    1
    0
  • In Spain, on the other hand, the title of conde, the earlier history of which follows much the same development as in France, is still of much social value, mainly owing to the fact that the rule of primogeniture exists, and that, a large fee being payable to the state on succession to a title, it is necessarily associated with some degree of wealth.

    1
    0
  • for each degree of latitude indicates the character of the river.

    1
    0
  • Different substances were distinguished by the name of "alumen"; but they were all characterized by a certain degree of astringency, and were all employed in dyeing and medicine, the light-coloured alumen being useful in brilliant dyes, the dark-coloured only in dyeing black or very dark colours.

    1
    0
  • Of the seven degrees, those mystics not yet beyond the third, Miles, were not in full communion, and were called inrnpETOUVTES (servants); while the fourth degree, Leo, admitted them into the class of the fully initiate, the (participants).

    1
    0
  • The Mithraic priest, sacerdos or antistes, was sometimes also of the degree of pater.

    1
    0
  • The reward of title and degree and the consequent rise in the esteem of his fellows and himself was also a strong incentive; but the Mithraic faith itself was the greatest factor.

    1
    0
  • Nature has provided several species of animals, birds and reptiles, to feed upon these insects, and various poisonous and suffocating compounds are used to destroy them, but with no great degree of success.

    1
    0
  • Even so, she had accepted it in her mind to a degree.

    0
    0
  • I guess I always knew he was secretive - even you to some degree.

    0
    0
  • She had tested her freedom and found it still intact – to a degree.

    0
    0
  • Of course, she didn't leap cars with motorcycles or sky dive, but in retrospect, she had always been attracted to danger – at least to some degree.

    0
    0
  • Sarah wasted no time beginning her third degree.

    0
    0
  • Actually, it already had to a degree.

    0
    0
  • Still, Katie was right to a degree.

    0
    0
  • Of course, she was going to be a pet, but a pet that size would also provide protection to a degree.

    0
    0
  • Anyway, you get used to it - at least to some degree.

    0
    0
  • It was also the view universally taken by the German governments which supported the Kulturkampf in a greater or less degree.

    0
    0
  • "Every man's own satisfaction" Tucker holds to be the ultimate end of action; and satisfaction or pleasure is one and the same in kind, however much it may vary in degree.

    0
    0
  • He is assisted, and in some degree controlled, in his work by the district council (conseil darrondissement), to which each canton sends a member, chosen by universal suffrage.

    0
    0
  • This process in some degree corresponds to the manner in.

    0
    0
  • are the most important, Lorient and Rochefort being of lesser degree.

    0
    0
  • At the end of this period he presents himself for a degree called the Baccalaurat de tenseignement secondaire.

    0
    0
  • The teachers must not belong to any congregation, and must have a diploma of aptitude for teaching and the degree of licenci.

    0
    0
  • The faculties of medicine confer the degree of doctor of medicine.

    0
    0
  • He lectured in the schools on natural philosophy, and on Greek in his own rooms. In 1540 Smith went abroad, and, after studying in France and Italy and taking a degree of law at Padua, returned to Cambridge in 1542.

    0
    0
  • After attending the Cologne gymnasium, he entered the university of Berlin in 1844, and took his doctor's degree there three years later.

    0
    0
  • Although under the sway of the dukes of Pomerania, the city was able to maintain a marked degree of independence, which is still apparent in its municipal privileges.

    0
    0
  • de la Condamine for Peru, in order to measure a degree of the meridian near the equator.

    0
    0
  • m., occupies a position a little to the east of a meridional line bisecting the continent, and south of the 22nd degree, but portions of it stretch upwards to the low-lying country south of the Gulf of Carpentaria.

    0
    0
  • The marriage rate varies as in other countries from year to year according to the degree of prosperity prevailing.

    0
    0
  • The grammatical structure of some north Australian languages has a considerable degree of refinement.

    0
    0
  • The interior of New South Wales and Queensland, all that lies east of the r40th degree of longitude, was examined.

    0
    0
  • After taking his degree he wavered between classics and mathematics, but finally chose the latter.

    0
    0
  • degree in 1743, and as chaplain to the 3rd regiment of foot guards he was at the battle of Fontenoy, 1745.

    0
    0
  • Other honours were the degree of D.D., 1758, and those of F.R.S.

    0
    0
  • He was in 929 an eminent degree a great master-builder.

    0
    0
  • Though he received a medal from the Royal Society for his memoir of 1844, and the honorary degree of LL.D.

    0
    0
  • In 1839 he took the degree of D.D., and the same year was appointed by Lord Melbourne to the deanery of Ely.

    0
    0
  • degree at the university of Zurich and published his first papers on physical subjects.

    0
    0
  • The free acid, which is obtained by treating the salts with acids, is an oily liquid smelling like prussic acid; it is very explosive, and the vapour is poisonous to about the same degree as that of prussic acid.

    0
    0
  • The Roman Catholic landowners lost their estates, all or part according to their degree of guilt, and these were distributed among Cromwell's soldiers and the creditors of the government; Cromwell also invited new settlers from home and from New England, two-thirds of the whole land of Ireland being thus transferred to new proprietors.

    0
    0
  • Though entered as a student at Trinity College, Dublin, Tone gave little attention to study, his inclination being for a military career; but after eloping with Matilda Witherington, a girl of sixteen, he took his degree in 1786, and read law in London at the Middle Temple and afterwards in Dublin, being called to the Irish bar in 1789.

    0
    0
  • In 1853 he was appointed assistant, and in the following year won a doctor's degree with his treatise Nova elementa Thetidis.

    0
    0
  • Fokia has acquired local importance however as a port of call for coasting steamers, and it is used to some degree as a summer residence by Smyrniotes.

    0
    0
  • At the end of 1588 he went to Padua, to take his degree in canon and civil law, a necessary prelude in Savoy at that time to distinction in a civil career.

    0
    0
  • The paddle was driven by weights, and the temperature of the water was observed by thermometers which could indicate 2 kuth of a degree Fahrenheit.

    0
    0
  • As it is with mechanical improvements, so is it to a still greater degree with changes in the function of timbre in art.

    0
    0
  • The greater richness of tone of the modern pianoforte is a better compensation for any bareness that may be imputed to pure two-part or three-part writing than a filling out which deprives the listener of the power to follow the essential lines of the music. The same holds good, though in a lesser degree, of the resources of the harpsichord in respect of octavestrings.

    0
    0
  • It thus became in a high degree symbolical of the exaltation of the sacerdotal power.

    0
    0
  • In the large towns banking and commerce flourish to a degree beyond what might be expected.

    0
    0
  • A fine glass siphon tube is suspended with freedom to move in only one degree, and is connected with the signal-coil and moves with it.

    0
    0
  • The consonants are for the most part reproduced pretty distinctly, but not the vowels as yet in an equal degree."

    0
    0
  • Hughes, while engaged in experiments upon a Bell telephone in an electric circuit, discovered that a peculiar noise was produced whenever two hard electrodes, such as two wires, were - drawn across each other, or were made to touch each other with a variable degree of firmness.

    0
    0
  • He seems to have maintained to a certain degree an attitude of independence, if not of opposition, towards Augustus.

    0
    0
  • Home products not only supply the Italian market in increasing degree, but find their way into foreign markets.

    0
    0
  • As in the case of cotton, Italian woollen fabrics are conquering the home market in increasing degree.

    0
    0
  • Wages vary greatly in different parts of Italy, according to the cost of the necessaries of life, the degree of development of working-class needs and the state of working-class organization, which in some places has succeeded in increasing the rates of pay.

    0
    0
  • Latin will be counted the language of the earlier plebeian stratum of the population of Rome and Latium, probably once spread over a large area of the peninsula, and akin in sijme degree to the language or languages spoken in north Italy before either the Etruscan or the Gallic invasions began.

    0
    0
  • In 1075 he caused the investiture of ecclesiastica dignitaries by secular potentates of any degree to be condemned These two reforms, striking at the most cherished privileges ant most deeply-rooted self-indulgences of the aristocratic caste ii Europe, inflamed the bitterest hostility.

    0
    0
  • Not only did he newalef secure concessions from Austria and Germany correthe Triple sponding in some degree to the improved state of the Alliance.

    0
    0
  • 'Shaftesbury, doubtless no friendly witness, speaks of him as .an inveterate liar, "proud, ambitious, revengeful, false, prodigal and covetous to the highest degree," 4 and Burnet supports his unfavourable judgment to a great extent.

    0
    0
  • He was ordained in 1523, and soon after he took his doctor's degree in divinity.

    0
    0
  • Whilst the Soma-sacrifice has been thus developed by the Brahmanas in an extraordinary degree, its essential identity with the Avestan Haoma-cult shows that its origin goes back at all events to the Indo-Iranian period.

    0
    0
  • Although in later ages its importance was enormously magnified, it differs only in degree, not in kind, from other charters granted by the Norman and early Plantagenet kings.

    0
    0
  • If the bud, however, is destined to give rise not to a free medusa, but to a gonophore, the development is similar but becomes arrested at various points, according to the degree to which the gonophore is degenerate.

    0
    0
  • PALI, the language used in daily intercourse between cultured people in the north of India from the 7th century B.C. It continued to be used throughout India and its confines as a literary language for about a thousand years, and is still, though in a continually decreasing degree, the literary language of Burma, Siam, and Ceylon.

    0
    0
  • This doctrine was held for many centuries, and drugs are classed by all the old herbalists as having one or other of these qualities in a greater or less degree.

    0
    0
  • recent years, of Zeiller in France, and Scott, Seward and others in England, has advanced our knowledge of the anatomy of ~fossil plants in an important degree.

    0
    0
  • The study of simple organisms, many of which consist of nothing but a little mass of protoplasm, exhibiting a very rudimentary degree of differentiation, so far as our methods enable us to determine any at all, shows that the duties of existence can be discharged in the absence of any cell-wall.

    0
    0
  • There is little wonder, then, that in a colony of protoplasts such as constitute a large plant a considerable degree of differentiation is evident, bearing upon the question of water supply.

    0
    0
  • If the member is one which shows a difference of structure on two sides, such as a leaf, the two sides frequently show a difference of degree of turgidity, and consequently of rate of growth.

    0
    0
  • Again, the degree of differentiation is very slight anatomically, but delicate protoplasmic threads have been shown to extend through all cell-walls, connecting together all the protoplasts of a plant.

    0
    0
  • The response to the stimulus takes the form of increasing the permeability of particular cells of the growing structures, and so modifying the degree of the turgidity that is the precursor of growth in them.

    0
    0
  • The Nuclei of the Lower Plants.It is only in comparatively recent times that it has been possible to determine with any degree of certainty that the minute deeply stainable bodies described more especially by Schmitz (1879) in many Algae and Fungi could be regarded as true nuclei.

    0
    0
  • The study of existing Algae, that is of plants that have continued to live in water, shows that under these conditions no high degree of organization has been reached, though some of them have attained gigantic dimensions.

    0
    0
  • Thus there is no essential difference between the direct and the indirect action of external conditions, the difference is one of degree only.

    0
    0
  • He further found that there was an element which he termed boreal in a more intense degree, which amounted to about a fifteenth of the whole flora.

    0
    0
  • They are in fact in some degree comparable to sub-regions 3 and 4 in the Old World.

    0
    0
  • The Arab astronomers measured a degree on the plains of Mesopotamia, thereby deducing a fair approximation to the size of the earth.

    0
    0
  • This slender distinction was made much of by most subsequent writers until Nathanael Carpenter in 1625 pointed out that the difference between geography and chorography was simply one of degree, not of kind.

    0
    0
  • While the republics of Italy, and above all the state of Venice, were engaged in distributing the rich products of India and the Far East over the Western world, it was impossible that motives of curiosity, as well as a desire of commercial advantage, should not be awakened to such a degree as to impel some of the merchants to visit those remote lands.

    0
    0
  • Academy as part of an investigation with the object of ascertaining the length of the degree near the equator and near the pole respectively so as to determine the figure of the earth.

    0
    0
  • Plants exhibit the controlling power of environment to a high degree, and thus vegetation is usually in close adjustment to the bolder geographical features of a region.

    0
    0
  • In tropical forests primitive tribes depend on the collection of wild fruits, and in a minor degree on the chase of wild animals, for their food.

    0
    0
  • On the seashore fishing naturally became a means of livelihood, and dwellers by the sea, in virtue of the dangers to which they are exposed from storm and unseaworthy craft, are stimulated to a higher degree of foresight, quicker observation, prompter decision and more energetic action in emergencies than those who live inland.

    0
    0
  • Limited monarchies are (with the exception of Japan) peculiar to Europe, and in these the degree of democratic control may be said to diminish as one passes eastwards from the United Kingdom.

    0
    0
  • His nephew (as some say, though the degree of relationship cannot be clearly established), Publics Cornelius Sulla was consul in 66 B.C. with P. Autronius Paetus.

    0
    0
  • In the convent, his modesty was so great that he refused to accept the doctor's degree in theology, which is the highest prized honour in the order.

    0
    0
  • Besides these, three or perhaps four groups, though widely distributed throughout the world, arrive in the Australian region at their culmination, presenting an abundance of most varied forms. These are the weaver-birds (Ploceidae), and the moreporks (Podargidae), but especially the kingfishers (Alcedinidae) and the pigeons (Columbidae), the species belonging to the two last obtaining in this region a degree of prominence and beauty which is elsewhere unequalled.

    0
    0
  • For narrow as are the channels between Cuba and the opposite coast of Central America, between the Bahamas and Florida, and between Grenada and Tobago, the fauna of the Antillean chain, instead of being a mixture of that of the almost contiguous countries, differs, much from all, and exhibits in some groups a degree of speciality which may be not unfitly compared with that of oceanic islands..

    0
    0
  • The Himalo-Chinese or Transgangetic province shows the characteristics of its avifauna also far away to the eastward in Formosa, Hainan and Cochin China, and again in a lesser degree to the southward in the mountains of Malacca and Sumatra.

    0
    0
  • After taking orders he went (1770) to Rome, where he obtained the degree of doctor of theology and common law, and devoted himself enthusiastically to the study of the fine arts, especially of architecture and painting.

    0
    0
  • He entered Trinity College, Cambridge, at the age of sixteen, but took no degree, his course being interrupted by severe pulmonary attacks which compelled a long residence abroad.

    0
    0
  • By the adoption of a regular system of work, and a careful plan of reduction, he was able to keep his observations reduced practically up to date, and published them annually with a degree of punctuality which astonished his contemporaries.

    0
    0
  • A mean degree of the meridian being assumed to be 69-09 statute miles of 5280 ft., the nautical mile (A l b - degree) is taken as 6080 ft., which is a sufficiently close approximation for practical purposes, and the distances between the knots are made to bear the same relation to 6080 ft.

    0
    0
  • By conducting the distillation slowly, so that the temperature within the chamber remains at a sufficiently low degree, it is possible to obtain the whole of the product in the form of "flowers."

    0
    0
  • The peerage, as it exists in the three British kingdoms, is something which is altogether peculiar to the three British kingdoms, and which has nothing in the least degree like it elsewhere.

    0
    0
  • In 1905 Liberia proposed to France that the boundary line should follow the river Moa from the British frontier of Sierra Leone up stream to near the source of the Moa (or Makona), and that from this point the boundary should run eastwards along the line of water-parting between the system of the Niger on the north and that of the coast rivers (Moa, Lofa, St Paul's) on the south, until the 8th degree of N.

    0
    0
  • As the whole coastline of Liberia thus fronts the sea route from Europe to South Africa it is always likely to possess a certain degree of strategical importance.

    0
    0
  • Weinel); the church supernaturally guided (R.C. apologetic; in a modified degree High Church apologetic); essential - not necessarily exclusive - truth of Paulinism, essential error in first principles of Catholicism (Protestant apologetic).

    0
    0
  • A comparison of the surviving fragments of Basilides, moreover, with the outline of his system in Irenaeus-Hippolytus (Syntagma) shows that the account given by the Fathers of the Church is also in the highest degree untrustworthy.

    0
    0
  • The Maoris ate their enemies' hearts to gain their courage, but to whatever degree animistic beliefs may have once contributed to their cannibalism, it is certain that long before Captain Cook's visit religious sanction for the custom had long given place to mere gluttonous enjoyment.

    0
    0
  • west of the city, connected with it by railway, and formerly called La Boca), the port of Panama and the actual terminus of the canal, is in the Canal Zone and is a port under the jurisdiction of the United States, the commercial future of Panama is dependent upon American tariffs and the degree to which Panama and Balboa may be identified.

    0
    0
  • The nervous system is remarkably concentrated in some beetles, the abdominal ganglia showing a tendency to become shifted forward and crowded together, and in certain chafers all the thoracic and abdominal ganglia are fused into a single nervecentre situated in the thorax, - a degree of specialization only matched in the insectan class among the Hemiptera and some muscid flies.

    0
    0
  • Nor could Shakespeare have failed to bring out with greater variety and distinctness the dramatic features in Henry VII., whom Ford depicts with sufficient distinctness to give some degree of individuality to the figure, but still with a tenderness of touch which would have been much to the credit of the dramatist's skill had he been writing in the Tudor age.

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    0
  • Probably in 1304 he went to Paris, in 1307 he received his doctor's degree from the university, and in the same year was appointed regent of the theological school.

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    0
  • Pretending to maintain the Solonian constitution (as he could well afford), he realized that people would never recognize the deception if a sufficient degree of prosperity were ensured.

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  • In these assemblies the large proprietors sit in person, being thus electors in the second degree; the lesser proprietors are represented by delegates, and therefore elect in the third degree.

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  • The urban population, divided into two categories according to their taxable wealth, elects delegates direct to the college of the government (Guberniya), and is thus represented in the second degree; but the system of division into categories, according not to the number of taxpayers but to the amount they pay, gives a great preponderance to the richer classes.

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  • At St Petersburg a women's medical academy, the examinations of which were even more searching than those of the ordinary academy (especially as regards diseases of women and children), was opened, but after about one hundred women had received the degree of M.D.

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  • To a less degree, the same is true of railways built for a special instead of a general commercial interest.

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  • The principal condition operating in the design of locomotives intended for local services with frequent stops is the degree of acceleration required, the aim of the designer being to produce an engine which shall be able to bring the train to its journey speed in the shortest time possible.

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  • due to the two cylinders is variable to a greater or less extent, depending upon the degree of expansion in the cylinders and the speed.

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  • These conditions, as well as the degree of control over the construction and working of the lines, are left to the regulation of the provincial governments.

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  • In 1530 he took his degree as master of arts.

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  • It had taken more hold in its original home in the United States of America, and thence it has spread in some degree to most Christian countries.

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  • It had now reached a degree of sanctity and only the priest might touch it; it was sprinkled with water, and anointed with butter; finally, the priest made three turns round it with a lighted torch in his hand, which finally separated it from the world and fitted it for its high purpose.

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  • His mother took him to Surat, where he was educated in a mission school, but he never succeeded in gaining an academical degree.

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  • For the prophet's function became in an increasing degree a function of mind, and not merely of traditional routine or mechanical technique, like that of the diviner with his arrows or his lots which he cast in the presence of the ephod or plated Yahweh image.

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  • Although during the composition of the Ferdinand and Isabella it had been of very intermittent service to him, it had so far improved that he could read with a certain amount of regularity during the writing of the Conquest of Mexico, and also, though in a less degree, during the years devoted to the Conquest of Peru.

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  • If these things, however, indicate Prescott's deficiencies from the point of view of ideal history, few historians have had in a higher degree that artistic feeling in the broad arrangement of materials which ensures popular interest.

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  • It may be presumed that he took his degree, as he uses the title of "Syr" in his translation of Sallust, and in his will he is called doctor of divinity.

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  • In one courtyard of this temple are deposited the celebrated ten stone drums which bear poetical inscriptions commemorative of the hunting expeditions of King Suan (827-781 B.C.), in whose reign they are believed, though erroneously, to have been cut; and in another stands a series of stone tablets on which are inscribed the names of all those who have obtained the highest literary degree of Tsin-shi for the last five centuries.

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  • He afterwards became a pupil of the Sorbonne, and received the degree of B.D.

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  • In September 1533 the birth of a daughter, afterwards Queen Elizabeth, instead of the long-hoped-for son, was a heavy disappointment; next year Of this there is no direct proof, but the statement rests upon contemporary belief and chiefly upon the extraordinary terms of the dispensation granted to Henry to marry Anne Boleyn, which included the suspension of all canons relating to impediments created by "affinity rising ex illicito coitu in any degree even in the first."

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  • This son (by name Edward) was educated at Westminster' and Cambridge, but never took a degree, travelled, became member of parliament, first for Petersfield (1734), then for Southampton (1741), joined the party against Sir Robert Walpole, and (as his son confesses, not much to his father's honour) was animated in so doing by " private revenge " against the supposed " oppressor " of his family in the South Sea affair.

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  • At this early period he seems already to have adopted in some degree the plan of study he followed in after life and recommended in his Essai sur l'etude - that is, of letting his subject rather than his author determine his course, of suspending the perusal of a book to reflect, and to compare the statements with those of other authors - so that he often read portions of many volumes while mastering one.

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  • in some degree strange.

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  • In 1847 Lightfoot went up to Trinity College, Cambridge, and there read for his degree with Westcott.

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  • The task of constructing a system of government from the bottom, of reconciling the conflicting and often jealously sensitive elements, called for tact, firmness, industry and deep insight into human nature, all of which Governor Taft displayed in a marked degree.

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  • After his return he filled various educational offices, and took his doctor's degree with two theses, Quid Vestae cultus in institutis veterum privatis publicisque valuerit and Polybe, ou la Grece conquise par les Romains (1858).

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  • In a minor degree this conclusion is strengthened by observing the satellites.

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  • Immediately after taking his degree, he read to the Cambridge Philosophical Society a very novel memoir, " On the Transformation of Surfaces by Bending."

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  • The writer had the opportunity of perusing the MS. of " On Faraday's Lines of Force," in a form little different from the final one, a year before Maxwell took his degree.

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  • The paroxysm is followed by a definite interval in which there is not only no fever, but even a fair degree of bodily comfort and fitness; this is the intermission of the fever.

    0
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  • Races inhabiting malarious districts acquire a certain degree of resistance, no doubt through natural selection.

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  • With the exception of a few species from the Solenhofen lithographic Oolite, fossil Diptera belong to the Tertiary Period, during which the members of this order attained a high degree of development.

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    0
  • The beginnings of modern thermochemistry, though made independently of the doctrine of the conservation of energy, are practically contemporaneous with the recognition of that law, and without it the science could scarcely have reached the degree of development which it rapidly attained.

    0
    0
  • In dealing, therefore, with dilute solutions, it is only necessary to state that the solutions are dilute, the exact degree of dilution being unimportant.

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  • He presented to the Ashmolean museum, Oxford, a variety of fossils and antiquities, which he had described in his works, and received the thanks of the university and the degree of LL.D.

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  • In 1578 he had taken the degree of B.D., and in 1613 he was created D.D.

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  • And first as to Italy, where the Jews in a special degree have identified themselves with the national life.

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  • The exact nature and degree of its self-government is not clear.

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  • But the contents of early tombs and dwellings and indications supplied by such objects as stone vases and seal-stones show that the Cretans had already attained to a considerable degree of culture, and had opened out communication with the Nile valley in the time of the earliest Egyptian dynasties.

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  • The contents of the royal tombs, on the other hand, reveal a wholesale correspondence with the fabrics of the first, and, to a less degree, the second Late Minoan age, as illustrated by the relics belonging to the Middle Period of the later palace at Cnossus and by those of the royal villa at Hagia Triada.

    0
    0
  • The recent exploration of a cemetery belonging to the close of the great palace period, and in a greater degree to the age succeeding the catastrophe, has now conclusively shown that there was no real break in the continuity of Minoan culture.

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    0
  • The political circumstances of Germany in the first half of the 14th century were in the last degree disastrous.

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  • their mental powers differ from those of men, not so much in kind as in degree."

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  • On the south the coast-line is far more irregular, the Arabian Sea, the Bay of Bengal, and the China Sea reaching about to the northern tropic at the mouths of the Indus, of the Ganges and of the Canton river; while the great peninsulas of Arabia, Hindostan and Cambodia descend to about 10° N., and the Malay peninsula extends within a degree and a half of the equator.

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  • The tribes 'to the north, subject to Russia, are naturally more peaceable, and have been brought into some degree of discipline.

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  • It has attained a high degree of wealth and prosperity under the Dutch government.

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    0
  • The moderating effect of the proximity of the ocean is felt in an important degree along the southern and eastern parts of Asia, where the land is broken up into islands or peninsulas.

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  • The cyclones of the China Sea also occur in the hot months of the year, but they advance from north-east to south-west, though occasionally from east to west; they originate near the island of Formosa, and extend to about the 10th degree of N.

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  • The heated body of air carried from the Indian Ocean over southern Asia by the south-west monsoon comes up highly charged with watery vapour, and hence in a condition to release a large body of water as rain upon the land, whenever it is brought into circumstances which reduce its temperature in a notable degree.

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  • The spoken languages of northern India are very various, differing one from another in the sort of degree that English differs from German, though all are thoroughly Sanskritic in their vocables, but with an absence of Sanskrit grammar that has given rise to considerable discussion.

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  • The population of India comprises at least three strata: firstly, uncivilized aborigines, such as the Kols and Santhals, and secondly, the Dravidians (Tamils, Kanarese, &c.), who perhaps represent the earliest northern invaders, and appear to have attained some degree of culture on their own account.

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  • For the rest, as regards the question of nomenclature, Reid everywhere unites common sense and reason, making the former "only another name for one branch or degree of reason."

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  • Although at times he states his principles with a wonderful degree of breadth and insight, he mars the effect by looseness of statement, and by the incorporation of irrelevant psychological matter.

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  • The chief difficulty in this scheme is offered by the Moniligastridae, which in some degree combine the characters of both the suborders, into neither of which will they fit accurately.

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  • He indeed to some degree professed this; and more than once I have heard him say that there were occasions upon which ' la petite morale etait ennemie de la grande.'

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  • The Mahratta Brahmans possess, in an intense degree, the qualities of that famous caste, physical, intellectual and moral.

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  • This was given in the most complete degree by Pasteur.

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  • Yet he persevered: "Travailler, travailler toujours" was his motto, and his patience was rewarded by results which have not merely rendered his name immortal, but have benefited humanity in a way and to a degree for which no one could have ventured to hope.

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  • So early as the year 1807 the degree of LL.D.

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  • Among the great variety of problems solved are problems leading to determinate equations of the first degree in one, two, three or four variables, to determinate quadratic equations, and to indeterminate equations of the first degree in one or more variables, which are, however, transformed into determinate equations by arbitrarily assuming a value for one of the required numbers, Diophantus being always satisfied with a rational, even if fractional, result and not requiring a solution in integers.

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  • But the bulk of the work consists of problems leading to indeterminate equations of the second degree, and these universally take the form that one or two (and never more) linear or quadratic functions of one variable x are to be made rational square numbers by finding a suitable value for x.

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  • A few problems lead to indeterminate equations of the third and fourth degrees, an easy indeterminate equation of the sixth degree being also found.

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  • The general type of problem is to find two, three or four numbers such that different expressions involving them in the first and second, and sometimes the third, degree are squares, cubes, partly squares and partly cubes, &c. E.g.

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  • On the other hand, the domestic industries are extensively carried on and exhibit a high degree of technical skill and artistic taste.

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  • After obtaining the degree of doctor he returned to Ghent, and is said to have been the first to lecture there publicly on philosophy and theology.

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  • Barley, on the other hand, is sown in a lighter surface soil, and, with its short period for root-development, relies in a much greater degree on the stores of plant-food within the surface soil.

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  • The number of " agricultural labourers and shepherds," which affords a more precise index, declined in a still more marked degree.

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  • "And whither," he adds, "can mankind so advantageously turn, in order to learn the proper means, and to form their minds to the proper habits, as to that branch of knowledge in which by universal acknowledgment the greatest number of truths have been ascertained, and the greatest possible degree of certainty arrived at ?"

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  • His suggestion of a plurality of votes, proportioned to the elector's degree of education, was avowedly put forward only as an ideal; he admitted that no authentic test of education could for the present be found.

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  • In the earliest times for which we have abundant material the economic life of England had already reached in certain directions a high degree of complexity.

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  • While it is impossible to give a strictly economic interpretation of the earlier history of nations, economic interests so govern the life and determine the policy of modern states that other forces, like those of religion and politics, seem to play only a subsidiary part, modifying here and there the view which is taken of particular questions, but not changing in any important degree the general course of their development.

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  • Of the great army of writers who flourished in the first half of the 19th century some were closely identified with the utilitarian school, and the majority were influenced in a greater or less degree by the prevailing ideas of that school.

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  • - These are the most primitive Gastropods, retaining to a great degree the original symmetry of the FIG.

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  • Where the modification is carried to its extreme degree, not only the shell but the pallial cavity, ctenidium and visceral hump disappear, and the body acquires a simple elongated form and a secondary external symmetry, as in Pterotrachaea and in Doris, Eolis, and other Nudibranchia.

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  • A further degree of modification occurs when the male duct takes its origin from the hermaphrodite duct above the external opening, so that there are two distinct apertures, one male and one female, the latter being the original opening.

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  • He is, moreover, a judicious critic. The union of these four elements gives character to his theology, and in a certain degree to all subsequent theology.

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  • On the other hand, in dealing with the problem of bringing his heterodox system into conformity with the regula fidei he evinced a high degree of technical skill.

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  • in the XVIIIth Dynasty tomb of Rekhmara at Egyptian Thebes as bearing vases of peculiar forms, were of some Mediterranean race, neither their precise habitat nor the degree of their civilization could be determined while so few actual prehistoric remains were known in the Mediterranean lands.

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  • Commerce with Egypt, for example, has increased in a marked degree, and Aegean objects or imitations of them are found to have begun to penetrate into Syria, inland Asia Minor, and the central and western Mediterranean lands, e.g.

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  • The chief depositaries of these Mandaean mysteries are the priests, who enjoy a high degree of power and social regard.

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  • Two years later, with that degree of moral courage which was one of his distinguishing characteristics, as it has been of his descendants, he, aided by Josiah Quincy, Jr., defended the British soldiers who were arrested after the "Boston Massacre," charged with causing the death of four persons, inhabitants of the colony.

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  • It is instructive, further, to trace among metabolic insects an increase in the degree of this dissimilarity.

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  • In the degree of mobility there is great diversity among pupae.

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  • The order must therefore be ancient, and as no evidence is forthcoming as to the mode of reduction of the hind-wings, nor as to the stages by which the suctorial mouth-organs became specialized, it is difficult to trace the exact relationship of the group, but the presence of cerci and a degree of correspondence in the nervuration of the forewings suggest the Mecaptera as possible allies.

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  • And thus perfection of structure and instinct in the imago has been accompanied by degradation in the larva, and by an increase in the extent of transformation and in the degree of reconstruction before and during the pupal stage.

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  • Abbot, though a layman, received the degree of S.

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  • His attempt at classification was certainly better than that of Linnaeus; and it is rather curious that the researches of the latest ornithologists point to results in some degree comparable with Brisson's systematic arrangement, for they refuse to keep the birds-of-prey at the head of the Class A y es, and they require the establishment of a much larger number of " Orders " than for a long while was thought advisable.

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  • His principles, however, are those which must still guide taxonomers, notwithstanding that they have in so great a degree overthrown the entire scheme which he propounded.

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  • The success it gained was doubtless due in some degree to the difficulty which most men had in comprehending it, for it was enwrapped in alluring mystery, but more to the confidence with which it was announced as being the long-looked-for key to the wonders of creation, since its promoters did not hesitate to term it the discovery of " the Natural System," though they condescended, by way of explanation to less exalted intellects than their own, to allow it the more moderate appellation of the Circular or, Quinary System.

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  • Yet his followers, if not he himself, were ever making use of language in the highest degree metaphorical, and were always explaining facts in accordance with preconceived opinions.

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  • Consequently his labours had attained to a certain degree of completeness in this direction, and it may therefore be expedient here to name the different groups which he thus thought himself entitled to consider established.

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  • A degree of M.D.

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  • In April 1847, the degree of D.D.

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  • In 1868 he received the degree of doctor from the university of Tubingen in recognition of a treatise on the psychology of Dreams (Oneirokritikon.

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  • degree in 1515 and removed to Cambridge, where Erasmus had helped to establish a reputation for Greek and theology.

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  • In 1757 he had become pastor at Paisley; and in 1769 he received the degree of D.D.

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  • He took the degree of doctor of theology, and seems to have received the complimentary title of doctor mirabilis.

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  • Young Kane entered the university of Virginia and obtained the degree of M.D.

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  • The original territory still preserves to a large degree its irregularity of surface, but its hills have been much degraded or wholly razed.

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  • After some hesitation between music and philosophy, he decided to make the latter the serious work of his life, and in 1867 the university of Rostock conferred on him the degree of doctor of philosophy.

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  • Flowering and fruiting go on continually, although in diminishing degree, until the advent of frost, which kills the flowers and young bolls and so puts an end to the production of cotton for the season.

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  • The improvements desired in cotton vary to some degree in different countries, according to the present character of the plants, climatic conditions, the chief pests, special market requirements, and other circumstances.

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  • A powerful stimulus was thus given to the growth of cotton in all directions; a degree of activity and enterprise never witnessed before was seen in India, Egypt, Turkey, Greece, Italy, Africa, the West Indies, Queensland, New South Wales, Peru, Brazil, and in short wherever cotton could be produced; and there seemed no room to doubt that in a short time there would be abundant supplies independently of America.

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  • In this region cotton has been cultivated from very early times to supply local demands, and to a minor degree for export.

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  • The third, which is not distinct in principle from the two preceding, is that such limited speculation in cotton buying on the part of spinners worried with other matters would not be likely to steady the cotton market in any high degree.

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  • It might be thought that the "futures" of different months, being substitutes in proportion to their temporal proximity to one another, should vary together exactly; but it would seem to be a sufficient reply that as they are not perfect substitutes they are in some slight degree independent variables.

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  • Probably the prices of the more distant "futures" are determined in a higher degree by farreaching imagination than the prices of nearer futures.

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  • Germany and France, and in a less degree Belgium, Portugal and Italy, have taken some steps.

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  • He studied theology, and won his doctor's degree by an edition of thirty-four chapters of Genesis from the Arabic version of the Samaritan Pentateuch.

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  • The son pursued his studies at Dorpat (1869-1872) and at Leipzig, where he took his degree; and soon afterwards (1874) began lecturing as a Privatdozent.

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  • The degree of this dependence was always a matter of dispute.

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  • Thereafter the Mesopotamian powers prevailed, even if in some cases a certain degree of independence was preserved, as e.g.

    0
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  • The high degree of civilization then prevailing in the country is proved by its architectural remains dating from the early Christian centuries; the investigations of De Vogue, Butler and others, have shown that from the 1st to the 7th century there prevailed in north Syria and the Hauran a special style of architecture - partly, no doubt, following Graeco-Roman models, but also showing a great deal of originality in details.

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  • During the struggles of the Mahommedan dynasties for the possession of Syria the country still enjoyed a considerable degree of prosperity.

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  • He was wanting in mathematical ability, and never displayed in any remarkable degree the still more important power of scientific generalization, which, whether accompanied by mathematical skill or not, never fails to mark the highest genius in physical science.

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  • De Leon seems to have explored the coast, to some degree, on both sides of the peninsula, and to have turned homeward fully convinced that he had discovered an immense island.

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  • degree in 1625/6.

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  • From the conditions of the manufacture care must be taken to regulate the amount and strength of the alkali in proportion to the oil used, and the degree of concentration to which the boiling ought to be continued has to be determined with close observation.

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  • This paper is principally based on the following general theorem, which is a remarkable extension of Pascal's hexagram: "If a polygon move so that each of its sides passes through a fixed point, and if all its summits except one describe curves of the degrees m, n, p, &c., respectively, then the free summit moves on a curve of the degree 2mnp. ..

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  • He studied at King's college, Aberdeen, where he graduated with distinction in 1849, thence proceeding to Cambridge, where he remained till 1855 without taking a degree.

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  • This procured him the degree of M.A.

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  • Guanacos and Argentine hares are found in abundance in Neuquen, and to a lesser degree the South American ostrich.

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  • As late as 1906 it was estimated that nearly two-thirds of the men were to a greater or less degree self-supporting, as were many of the young women.

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  • They are soft (H= 21-) and sectile to a high degree, being readily cut with a knife like horn.

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  • If the attraction of a central body is not the only force acting on the moving body, the orbit will deviate from the form of a conic section in a degree depending on the amount of the extraneous force; and the curve described may not be a re-entering curve at all, but one winding around so as to form an indefinite succession of spires.

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  • In all the cases which have yet arisen in astronomy the extraneous forces are so small compared with the gravitation of the central body that the orbit is approximately an ellipse, and the preliminary computations, as well as all determinations in which a high degree of precision is not necessary, are made on the hypothesis of elliptic orbits.

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  • To do this the actual speed in the orbit, and in a yet higher degree the angular speed around F, must be greatest at pericentre, and continually diminish till the apocentre is reached.

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  • It appears to have been at some time between the dates of these two journeys that he visited Bologna and Auxerre, and began those studies in the canon law to which he was in no small degree indebted for his subsequent advancement and misfortunes.

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  • The situation of the Acropolis, dominating the surrounding plain and possessing easy communication with the sea, favoured the formation of a relatively powerful state - inferior, however, to Tiryns and Mycenae; the myths of Cecrops, Erechtheus and Theseus bear witness to the might of the princes who ruled in the Athenian citadel, and here we may naturally expect to find traces of massive fortifications resembling in some degree those of the great Argolid cities.

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  • Dr Caird received the honorary degree of D.C.L.

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  • In 1899 the university of Jena gave him the honorary degree of Doctor of Philosophy for his work on Hegel.

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  • Entering the university of Erfurt in 1514, he took the bachelor's degree in 1515, the master's in 1516.

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  • Metallurgical operations, such as smelting, roasting, and refining, were scientifically investigated, and in some degree explained, by Georg Agricola and Carlo Biringuiccio; ceramics was studied by Bernard Palissy, who is also to be remembered as an early worker in agricultural chemistry, having made experiments on the effect of manures on soils and crops; while general technical chemistry was enriched by Johann Rudolf Glauber.1

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  • But the difference between these two classes of elements is one of degree only, and they gradually merge into each other; moreover the electric relations of elements are not absolute, but vary according to the state of combination in which they exist, so that it is just as impossible to divide the elements into two classes according to this property as it is to separate them into two distinct classes of metals and non-metals.

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  • The discovery of phosphorus by Brand, a Hamburg alchemist, in 1669 excited chemists to an unwonted degree; it was also independently prepared by Robert Boyle and J.

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  • His unitary conceptions may be summarized: every chemical compound forms a complete whole, and cannot therefore consist of two parts; and its chemical character depends primarily upon the arrangement and number of the atoms, and, in a lesser degree, upon their chemical nature.

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  • He applied himself more particularly to the oxygen compounds, and determined with a fair degree of accuracy the ratio of carbon to oxygen in carbon dioxide, but his values for the ratio of hydrogen to oxygen in water, and of phosphorus to oxygen in phosphoric acid, are only approximate; he introduced no new methods either for the estimation or separation of the metals.

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  • In such cases the simplicity of manipulation and the high degree of accuracy of the method have made it especially valuable.

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  • From Boniface he received the degree of doctor.

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    0
  • Only a comparison in detail will give a true impression of the extraordinary degree of resemblance.

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  • Of course, generally speaking, less advance was made than in many previous decades, owing to the interregnum caused by the World War, when all British, French, German, and Austrian work was held up, and only the Americans and to a lesser degree the so-called " Egyptian " Service of Antiquities (manned by French and English) did any digging at all; while in all the European countries the energies of all the archaeologists who were not superannuated were transferred to the field of war, and there was no time left to write little papers, still less big books.

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  • The fiscal system was remodelled, and the district has since enjoyed a greater degree of prosperity only interrupted by famine.

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  • Human intercourse was increased and quickened to a degree not before known.

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  • The Pergamene court was in no degree behind the Ptolemaic in its literary and artistic zeal.

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  • 12), a proportion inconsistent with any degree of mobility; once more indeed the phalanx of the 2nd century seems to have become a body effective by sheer weight only and disordered by unevenness of ground.

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  • Yet, in spite of all corruption, ideas of the intelligent development of the subject lands, visions of the Hellenic king, as the Greek thinkers had come to picture him, haunted the Macedonian rulers, and perhaps fitfully, in the intervals of war or carousal, prompted some degree of action.

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  • Educated partly at Tiverton grammar-school, and partly at Dublin, where he studied chemistry, he afterwards proceeded to Edinburgh and took the degree of M.D.

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  • The second method is still employed in many cases, and we find thus: In cases where the draughtsman has omitted to indicate the scale we can ascertain it by dividing the actual length of a meridian degree by the length of a degree measure upon the map. Thus a degree between 50° and 51° measures 111,226,000 mm.; on the map it is represented by i r r mm.

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  • It was upon a map based upon such a source that Eratosthenes (276-196 B.C.) measured the distance between Syene and Alexandria which he required for his determination of the length of a degree.

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  • Having determined the difference of latitude between Alexandria and Syene which he erroneously believed to lie on the same meridian, and obtained the distance of those places from each other from the surveys made by Egyptian geometers, he concluded that a degree of the meridan measured 700 stadia.'

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  • Dorpfeld, we assume an Attic stadium of 200 steps (500 ft.) to be equal to 164 metres, a degree of 700 stad.

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  • He moreover accuses Eratosthenes, (whose determination of a degree he accepts without hesitation) with trusting too much to hypothesis in compiling his map instead of having recourse to latitudes and longitudes deduced by astronomical observations.

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  • Among geographers should be mentioned Posidonius (13-551), the head of the Stoic school of Rhodes, who is stated to be responsible for having reduced the length of a degree to 500 stadia; Artemidorus of Ephesus, whose " Geographumena " (c. Ioo B.C.) are based upon his own travels and a study of itineraries, and above all, Strabo, who has already been referred to.

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  • The errors due to an exaggeration of distances were still further increased on account of his assuming a degree to be equal to Soo stadia, as determined by Posidonius, instead of accepting the 700 stadia of Eratosthenes.

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  • An even graver source of error was Ptolemy's acceptance of a degree of Soo instead of 700 stadia.

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  • These miles, however, were not the ordinary Roman miles of l000 paces or 5000 ft., but smaller miles of Greek or Oriental origin, of which six were equal to five Roman miles, and as the latter were equal to 1480 metres, the Portolano miles had a length of only 1233 metres, and 75 2 of the former, and 90 3 of the latter were equal to a degree.

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  • They led firstly to the addition of degree lines to maps, and secondly to the compilation of new maps of those countries which had been inadequately represented by Ptolemy.

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  • They have, for the most part, adopted, to a greater or less degree, the " pastoral system," i.e.

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  • degree there in 1768, spent a year more in the hospitals of London and Paris, and began practice in Philadelphia at the age of twenty-four, undertaking at the same time the chemistry class at the Philadelphia medical college.

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  • The whole region is characterized by a remarkable degree of physical uniformity, and may be broadly described as a vast plateau of an average elevation of 3000 ft., bounded westwards by the Ethiopian and Galla highlands and northwards by an inner and an outer coast range, skirting the south side of the Gulf of Aden in its entire length from the Harrar uplands to Cape Guardafui.

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  • give but the very faintest idea of the degree of his indebtedness in thought and phraseology in several of his Epistles, especially that to the Romans.

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  • Red winter wheat is now produced to a considerable degree.

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  • He studied law at Pavia, and took the degree of doctor in 1831.

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  • But it is not so well understood that slavery discharged important offices in the later social evolution - first, by enabling military action to prevail with the degree of intensity and continuity requisite for the system of incorporation by conquest which was its final destination; and, secondly, by forcing the captives, who with their descendants came to form the majority of the population in the conquering community, to an industrial life, in spite of the antipathy to regular and sustained labour which is deeply rooted in human nature.

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  • There were other sources from which slavery was alimented, though of course in a much less degree.

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  • The question as to the total number of slaves at Rome or in Italy is a very difficult one, and it is not, perhaps, possible to arrive with any degree of certainty at an approximate estimate.

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  • He gained considerable reputation in the disputation for his master's degree in February 1727.

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  • Without taking a degree he removed his name from the college books in April 1798, as a protest against the inquisitorial examination of the political views of the students conducted by Lord Clare as chancellor of the university.

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  • After receiving his early education at the Caroline academy of Stuttgart, he entered the university of Tubingen, where he received the degree of doctor of medicine.

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  • It has, however, been observed that in practice the width of extant rolls does not tally in any satisfactory degree with Pliny's measurements; and a more plausible explanation has been offered (Birt, Antik.

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  • In 1768 he became minister of the New Greyfriars' Church, Edinburgh, and having received the degree of D.D.

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  • to W., though the shores are indented to an extraordinary degree and the bulk of the island is much narrower than the extreme width would indicate.

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  • Since the same plant, owing to peculiarities of climate, soil and situation, degree of exposure to light and other influences may vary greatly according to the locality in which it occurs, it is only by gathering together for comparison and study a large series of examples of each species that the flora of different regions can be satisfactorily represented.

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  • Indeed it may be said that only on the occasion of their initial performance are they purely instinctive; all subsequent performance being in some degree modified by the experience afforded by previous behaviour of like nature and the results it affords.

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  • The first two are nothing more than the absence of all visible form and organization; the third degree is the abode of darkness; whilst the remaining seven are " the seven infernal halls," occupied by the demons, who are the incarnation of all human vices.

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  • " Man is both the import and the highest degree of creation, for which reason he was formed on the sixth day.

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  • (I) The Spirit (neshamah), which is the highest degree of being, corresponds to and is operated upon by the Crown, which is the highest triad in the Sephiroth, and is called the Intellectual World; (2) the Soul (rah), which is the seat of the moral qualities, corresponds to and is operated upon by Beauty, which is the second triad in the Sephiroth, and is called the Moral World; and (3) the Cruder Soul (nephesh), which is immediately connected with the body, and is the cause of its lower instincts and the animal life, corresponds to and is operated upon by Foundation, the third triad in the Sephiroth, called the Material World.

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  • The moment for testing his capacity in the highest degree had now come.

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  • On his return home his university honoured him with the honorary degree of D.C.L.

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  • In 1813 he became repetent at Göttingen, and in 1814 he received the degree of doctor in philosophy from Halle; in 1816 he removed to Berlin, where he became licentiate in theology, and qualified as privatdocent.

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  • Thus, as Harnack points out, "there is no trace of a theological difference between Severus and Leontius," only a difference of terminology and of degree of willingness to assent to the formula of Chalcedon.

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  • Thus the whole method of measurement in geometry as described in the elementary textbooks and the older treatises is obscure to the last degree.

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  • Under the general heading "Geometry" occur the subheadings "Foundations," with the topics principles of geometry, non-Euclidean geometries, hyperspace, methods of analytical geometry; "Elementary Geometry," with the topics planimetry, stereometry, trigonometry, descriptive geometry; "Geometry of Conics and Quadrics," with the implied topics; "Algebraic Curves and Surfaces of Degree higher than the Second," with the implied topics; "Transformations and General Methods for Algebraic Configurations," with the topics collineation, duality, transformations, correspondence, groups of points on algebraic curves and surfaces, genus of curves and surfaces, enumerative geometry, connexes, complexes, congruences, higher elements in space, algebraic configurations in hyperspace; "Infinitesimal Geometry: applications of Differential and Integral Calculus to Geometry," with the topics kinematic geometry, curvature, rectification and quadrature, special transcendental curves and surfaces; "Differential Geometry: applications of Differential Equations to Geometry," with the topics curves on surfaces, minimal surfaces, surfaces determined by differential properties, conformal and other representation of surfaces on others, deformation of surfaces, orthogonal and isothermic surfaces.

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  • An artificial lake in New Providence, constructed for the use of the turtle-catchers, is noted as exhibiting an extraordinary degree of phosphorescence.

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  • It has high merits of style, being lucid and pointed to a degree.

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  • But while Struve, and to a less degree Plekhanov, were induced by this admission to seek an affiance with Liberal intellectuals in their struggle against Tsarism, Lenin (as he had taken to calling himself), together with Martov, Axelrod and other fiery spirits, forsook the Liberal platform and strove for a violent outbreak of a downright class war.

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  • Special instructions and regulations determined the latitude left to each department in the distribution of the credits accorded to it among its various heads of expenditure, the degree of responsibility of the functionaries within each department and the relations regarding finance and accounts between each department and its dependencies.

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  • and Abd-ul-Mejid, and the second in the reign of Mahmud only, were not included in the reform; these were debased currencies bearing a nominal value, the altilik of 6, 3 and 12 piastres, the beshlik of 5 and 22 piastres, the metallik of 1, 2 and 4 piastres; they represented the last degree of an agelong monetary depreciation, the original piastre having had a value of about 5s.

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  • His prudent measures at once re-established some degree of order in the army and the fleet, while he sought by a wise tolerance to improve the position and conciliate the sympathies of the non-Moslem subject races.

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  • A serious Bulgarian insurrection in Macedonia in the autumn of 1903 induced Austria and Russia to combine in formulating the Miirzsteg reform programme, tardily consented to by Turkey, by which Austrian and Russian civil agents were appointed to exercise a certain degree of control and supervision over the three vilayets of Salonica, Monastir and Kossovo.

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  • While conspicuously lacking in creative genius, the Ottomans have always shown themselves possessed of receptive and assimilative powers to a remarkable degree, the result being that the number of their writers both in prose and verse is enormous.

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  • The emperor was, moreover, imperfectly acquainted with the degree of preparation of his adversaries' designs, and when he dictated his preliminary orders he was still unaware of the direction that the allies' advance would assume.

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  • Though clad, armed and organized in European fashion, the soldiers retained in a marked degree the traditions of their Mongolian forerunners, their transport wagons were in type the survival of ages of experience, and their care for their animals equally the result of hereditary habit.

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  • With these numbers it was impossible to attain the high degree of individual efficiency required for the old line tactics, hence they were compelled to adopt the French methods of skirmishers and columns, but as yet they had hardly realized the increased density necessary to be given to a line of battle to enable it to endure the prolonged nervous strain the new system of tactics entailed.

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  • may be the same or different, it is necessary that every product of umbrae which arises in the expansion of the symbolic product be of degree n, in a l, a 2; in the case of b,, b 2 of degree n 2; in the case of c 1, c 2 of degree n3; and so on.

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  • Let a covariant of degree e in the variables, and of degree 8 in the coefficients (the weight of the leading coefficient being w and n8-2w = �), be Coxl -}- ec l l 1 x 2 -{-...

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  • In order to obtain the seminvari ants we would write down the (w; 0, n) terms each associated with a literal coefficient; if we now operate with 52 we obtain a linear function of (w - I; 8, n) products, for the vanishing of which the literal coefficients must satisfy (w-I; 0, n) linear equations; hence (w; 8, n)-(w-I; 0, n) of these coefficients may be assumed arbitrarily, and the number of linearly independent solutions of 52=o, of the given degree and weight, is precisely (w; 8, n) - (w - I; 0, n).

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  • - zn +9 1 -z2.1 -z3....1-z8; and since this expression is unaltered by the interchange of n and B we prove Hermite's Law of Reciprocity, which states that the asyzygetic forms of degree 0 for the /t ie are equinumerous with those of degree n for the The degree of the covariant in the variables is e=nO-2w; consequently we are only concerned with positive terms in the developments and (w, 0, n) - (w - r; 0, n) will be negative unless nO It is convenient to enumerate the seminvariants of degree 0 and order e=n0-2w by a generating function; so, in the first written generating function for seminvariants, write z2 for z and az n for a;.

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  • -1-Q 4)) =0; and we can determine the lowest weight of a perpetuant; the degree in the quantities a is 20+(2)+(1)+...+() =2 2 ° -1 -1 =2e-1-1.

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  • After a successful course of study at the College Rollin, he proceeded to Munich, where he attended the lectures of Schelling, and took his degree in philosophy in 1836.

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  • In 1838 he received the degree of doctor, and became professor of philosophy at Rennes.

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  • This degree of precision is far beyond any we 1 Mon.

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  • Public works and education were advanced, and the finances rose to a degree of prosperity previously unknown.

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  • The lord provost and magistrates offer to him the keys of the city, and levees, receptions and state dinners revive in some degree the ancient glories of Holyrood.

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  • Its graduates also give lectures on the various branches of medicine and science requisite for the degree of doctor of medicine, and those extra-academical courses are recognized, under certain restrictions, by the University Court, as qualifying for the degree.

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  • Classical concerts and concerts of the better sort, chiefly held in the M ` Ewan and Music Halls, are well attended, and lectures are patronized to a degree unknown in most towns.

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  • In 1075 the king's attention was claimed by a conspiracy of the earls of Hereford and Norfolk, in which the Englishman Waltheof, earl of Northampton, was implicated to some degree.

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  • Louis Duchesne, who was a member of the papal commission, on the general question would be interesting in the highest degree.

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  • He soon returned to Copenhagen, where in 1704 he took his degree, and worked hard at French, English and Italian.

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  • In order to see the difference in this respect between the schools we have only to compare the peaceful and fortunate life of William of Champeaux (who enjoyed the friendship of St Bernard) with the agitated and persecuted existence of Roscellinus and, in a somewhat less degree, of Abelard.

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