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complex

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complex

complex Sentence Examples

  • It was one of many complex issues.

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  • There should be complex interaction between those trends and currents.

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  • It was a complex task of regenerating Docklands, because its diverse areas were enormous.

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  • The position becomes more complex where an investigation is underway.

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  • It is said that there is a complex relationship between the Gospels.

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  • She is no more mysterious and complex than any other person.

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  • The driver said nothing the rest of the way and dropped them off in front of her apartment complex without asking for directions.

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  • We are both complex creatures.

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  • The problems also affected the Mayak reactor and reprocessing complex.

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  • Since they all lived in the same apartment complex, and the evening was early, Adrienne invited them to her apartment for a cup of coffee.

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  • The subtle interplay of everything involved in nutrition is vastly more complex than our minds are able to handle.

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  • The changes, however, were too numerous and complex to be dealt with here.

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  • We are now eating a lot of complex carbohydrates and green leafy vegetables.

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  • The tour finished with a buffet lunch at Maglands, a sheltered housing complex in Watchet.

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  • There were several complex structures to be fabricated.

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  • The more complex phenazines, such as the naphthophenazines, naphthazines and naphthotolazines, may be prepared by condensing ortho-diamines with ortho-quinones (0.

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  • Or what if I were to allow--would it not be a singular allowance?--that our furniture should be more complex than the Arab's, in proportion as we are morally and intellectually his superiors!

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  • A new leisure complex has been constructed within the last year.

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  • Food issues are complex and deeply emotional.

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  • This elevated, grassy ridge provides an excellent vantage point for viewing and understanding the monastic complex.

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  • In my understanding, the inferiority complex refers to the need to be an individual.

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  • The Lasko spa complex is located in the very heart of Slovenia, an area noted for its flowers & its beer.

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  • She maneuvered through the complex network systems available to her remotely.

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  • We visit Carrowmore, the most extensive megalithic complex in Ireland, containing dolmens, ring forts and fairy rings.

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  • The assimilation of complex foods consequently may be regarded as supplying the protoplasm with a potential store of energy, as well as building tip its substance.

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  • Complex projects can be carried out on multiple continents through project management tools.

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  • Similar observations have been made in the case of various compounds of nitrogen, though these have not been so complex as the proteids.

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  • At the nodes the relation of the endodermis to the bundles undergoes rather complex but definite changes.

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  • The foursome rode the gondola the short distance down from the parking area to the central village complex, with Donnie looking down, wide-eyed from the swinging car.

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  • A modern branch of mathematics having achieved the art of dealing with the infinitely small can now yield solutions in other more complex problems of motion which used to appear insoluble.

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  • They reached the beach, and Darian saw his young brother wielding a sword in complex weapons forms.

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  • Every time the weather got cold outside, other residents in the complex cranked their heaters up and then he had to adjust his own thermostat.

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  • The world will still need ever-smarter specialists doing ever-more complex work.

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  • Her body strained under muscle fatigue as the form became increasingly complex and slower.

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  • He was silent in surprise once more, unable to understand how she might consider his battle plans nothing more than a complex game.

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  • With the present complex forms of political and social life in Europe can any event that is not prescribed, decreed, or ordered by monarchs, ministers, parliaments, or newspapers be imagined?

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  • Additionally, we will at some point in the not-too-distant future have enough biological understanding of the genome and enough computer horsepower to model complex interactions in the body.

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  • If formed, as it probably is, it is immediately changed into some more complex combination, and so rendered incapable of exerting its poisonous action.

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  • Finally, human development, as exhibited in historical and prehistorical records, is regarded as the highest and most complex result of organic and physical evolution.

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  • Professor Harrison gave a talk on "Soviet Industry and the Red Army under Stalin: A Military-Industrial complex?"

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  • The molybdates are also capable of combining with other oxides (such as phosphorus and arsenic pentoxides) yielding very complex salts.

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  • - The mountain system is extremely complex, especially that of the northern region.

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  • Balashev remembered these words, "So long as a single armed foe remains on Russian soil," but some complex feeling restrained him.

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  • Prisons.The prisons of France, some of them attached to the ministry of the interior, are complex in their classification.

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  • The Devonian system includes a complex series of deposits, which are of most interest in eastern Australia.

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  • It was off to Fleetwood by the tram to the Freeport shopping complex.

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  • From this point of view the processes of nature from the inorganic up to the most complex of the organic become stages in the self-realization of nature.

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  • They have shown that columns of water of very small diameter can so resist tensile strain that they can be lifted bodily instead of flowing along the channel, They suggest that the forces causing the movement are complex, and draw particular attention to the pull upwards in consequence of disturbances in the leaves.

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  • Artists have been known to use the left hand in the hope of checking the fatal facility which practice had conferred on the right; and if Hood had been able to place under some restraint the curious and complex machinery of words and syllables which his fancy was incessantly producing, his style would have been a great gainer, and much real earnestness of object, which now lies confused by the brilliant kaleidoscope of language, would have remained definite and clear.

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  • But such a hypothetical simplicity is the necessary step for solving the more complex problems of nature.

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  • - (Families of instruments are connected by a brace.) Strings: as usual, but subject to minutely complex grouping.

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  • The tentacles of siphonophores may reach a great length and have a complex structure.

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  • All the complex laws of man centered for her in one clear and simple law--the law of love and self-sacrifice taught us by Him who lovingly suffered for mankind though He Himself was God.

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  • "He wrote here that he took a great liking to you," he went on simply and calmly, evidently unable to understand all the complex significance his words had for living people.

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  • In Velella the pneumatophore becomes of complex structure and sends air-tubes, lined by a chitin and resembling tracheae, down into the compact coenosarc, thus evidently serving a respiratory as well as a hydrostatic function.

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  • The wild and inaccessible character of the country, the fierce and lawless disposition of the people, the difficulties presented by their language and their complex social institutions, and the inability of the Turkish authorities to afford a safe conduct in the remoter districts, combine to render Albania almost unknown to the foreign traveller, and many of its geographical problems still remain unsolved.

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  • He was also the author of important papers in which he extended to complex quadratic forms many of Gauss's investigations relating to real quadratic forms. After 1864 he devoted himself chiefly to elliptic functions, and numerous papers on this subject were published by him in the Proc. Lond.

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  • As the action of the chlorophyll apparatus is directly dependent upon light, and the immediate result of its activity is the building up of complex compounds, it has become usual to speak of the processes it sets up under the name of photosynthesis.

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  • If not, there must exist in the green plant, side by side with it, another mechanism which is concerned with the manufacture of the complex compounds in which nitrogen is present.

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  • We now know that many at least of the Cycadofilices bore seeds, of a type much more complex than that of most modern seed plants, and in some cases approximating to the seeds of existing Cycads.

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  • Moment by moment the event is imperceptibly shaping itself, and at every moment of this continuous, uninterrupted shaping of events the commander-in-chief is in the midst of a most complex play of intrigues, worries, contingencies, authorities, projects, counsels, threats, and deceptions and is continually obliged to reply to innumerable questions addressed to him, which constantly conflict with one another.

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  • A complex apocentric modification of a kind which we cannot imagine to have been repeated independently, and which is to be designated as uniradial, frequently forms a new centre around which new diverging modifications are produced.

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  • We deduced that he had a casanova complex by his apparent need to seduce everything that walked.

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  • PYRIMIDINES, METADIAZINES or Miazines, in organic chemistry, a series of heterocyclic compounds containing a ring complex, composed of four carbon atoms and two nitrogen atoms, the nitrogen atoms being in the meta-position.

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  • In the petiole these strands may increase in number by branching, and thotigh usually reducible to the outline of the primitive horseshoe, more or less elaborated, they may in some of the complex polycylic dictyostelic types (Marattiaceae) be arranged in several concentric circles, thus imitating the arrangement of strands formed in the stem.

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  • The ability of a few people to do a massive amount of damage rises as civilization becomes more complex and destructive power increases.

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  • How much more complex than this is the game of war, which occurs under certain limits of time, and where it is not one will that manipulates lifeless objects, but everything results from innumerable conflicts of various wills!

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  • But a complex and difficult process of internal development was taking place all this time in Pierre's soul, revealing much to him and causing him many spiritual doubts and joys.

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  • A fur- ‘ - ther peculiarity of this type of colony is that theentire coenosarcal complex is covered externally by a common layer of ectoderm; it is not clear how this covering layer is developed.

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  • Her position at the table shifted as the program grew more complex; she dropped her feet to the ground and leaned forward, taking in the rapidly changing situation.

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  • As this is not the incorporation of either into the living sobstance, but is only its manufacture into the complex substances which we find in the plant, it seems preferable to limit the term assimilation to the processes by which foods are actually taken into the protoplasm.

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  • This salt may be used for the separation of cobalt and nickel, since the latter metal does not form a similar double nitrite, but it is necessary that the alkaline earth metals should be absent, for in their presence nickel forms complex nitrites containing the alkaline earth metal and the alkali metal.

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  • Presently, labeling of GMO content isn't a requirement—and since labeling is a complex and controversial issue that has no bearing on my thesis, I will pass it by.

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  • This subject brings the domain of pathology, however, into touch with that of variation, and we are profoundly ignorant as to the complex of external conditions which would decide in any given case how far a variation in form would be prejudicial or otherwise to the continued existence of a species.

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  • His action in the matters just named, as also in the complex affair of the secularizations of clerical domains in Germany (February 1803), belongs properly to the history of those countries; but we may here note that, even before the signature of the peace of Amiens (27th of March 1802), he had effected changes in the constitution of the Batavian (Dutch) republic, which placed power in the hands of the French party and enabled him to keep French troops in the chief Dutch fortresses, despite the recently signed treaty of Luneville which guaranteed the independence of that republic. His treatment of the Italians was equally high-handed.

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  • For More Complex Molecules The Radiative And Absorptive Powers Are Known To Be Much Greater.

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  • The complex specializes in affordable appetizers, sandwiches and burgers, as well as offering discounted drink specials on each night.

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  • Besides the types forming this series, there are a number of others (Medulloseae and allied forms) which show numerous, often very complex, types of stelar structure, in some cases polystelic, whose origin and relationship with the simpler and better known types is frequently obscure.

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  • indications of polystely, frequent occurrence of extra-stelar concentric bundles, anomalous secondary thickening) which recall these complex types of stelar structure in the fossil Cycadofilices.

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  • Later, the axis branches by the formation of new growing-points, and in this way the complex system of axes forming the body of the ordinary vascular plant is built up. In the flowering plants the embryo, after developing up to a certain point, stopf growing and rests, enclosed within the seed.

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  • The complex system of dead and dying tissues cut off by these successive periderms, together with the latter themselves in fact, everything outside the innermost phellogen, constitutes what is often known botanically as the bark of the tree.

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  • Its nutritive pabulum is supplied to it in the shape of certain complex organic substances which have been stored in some part or other of the seed, sometimes even in its own tissues, by the parent plant from which it springs.

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  • South of the Drin is another complex mountain system, including the highlands inhabited by the Mirdites and the Mat tribe; among the principal summits are Deia Mazzuklit, Mal-i Vels, Kraba, Toli and Mnela.

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  • The realization of the fact that the value to France of her colonies was mainly commercial, led at length to the abandonment of the attempt to impose on a great number of diverse peoples—some possessing (as in Indo-China and parts of West Africa) ancient and highly complex civilizations—French laws, habits of mind, tastes and manners.

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  • This phenomenon of what might have been taken for a piece of Umbrian text appearing in a district remote from Umbria and hemmed in by Latins on the north and Oscan-speaking Samnites on the south is a most curious feature in the geographical distribution of the Italic dialects, and is clearly the result of some complex historical movements.

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  • By complex and secret bargaining with the court of Madrid, Bonaparte procured the cession to France Napoleons of Louisiana, in North America, and Parma; while reorganthe duke of Parma (husband of an infanta of Spain) 1zat1o~ of was promoted by him to the duchy of Tuscany, now 1t8tV.

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  • I'm starting to get a complex.

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  • complex spectra of stars of the solar type this is by no means the case; for, as Dr Hartmann remarks, " in the first place the lines in these spectra are so numerous that their complete measurement and reduction would require many days, and in the second place a rigorous reduction of such material has hitherto not been at all possible because the wave-lengths of the lines are not known with sufficient accuracy.

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  • Such are the four points of Cartesian method: (1) Truth requires a clear and distinct conception of its object, excluding all doubt; (2) the objects of knowledge naturally fall into series or groups; (3) in these groups investigation must begin with a simple and indecomposable element, and pass from it to the more complex and relative elements; (4) an exhaustive and immediate grasp of the relations and interconnexion of these elements is necessary for knowledge in the fullest sense of that word.4 " There is no question," he says in anticipation of Locke and Kant, " more important to solve than that of knowing what human knowledge is and how far it extends."

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  • Its composition is somewhat complex.

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  • Ann., 1859, 106, 513), probably owing to the formation of complex ions; the abnormal behaviour apparently diminishing as the solution becomes more and more dilute, until, at very high dilutions the salts are ionized in the normal manner.

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  • The decomposition of the complex molecule of the sugar liberates a certain amount of energy, as can be seen from the study of the fermentation set tig by yeast, which is a process of this kind, in that it is intensified by the absence of oxygen.

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  • Nuclein is a complex albuminoid substance containing phosphorus and iron in organic combination (Macallum).

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  • A survey of the vegetable kingdom indicates that evolution has proceeded, on the whole, from the simple to the complex; at the same time, as has been already mentioned, evidence of reduction or degeneration in common.

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  • The distribution of living organisms is a complex problem, a function of many factors, several of which are yet but little known.

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  • When phenol is passed through a red-hot tube a complex decomposition takes place, resulting in the formation of benzene, toluene, naphthalene, &c. (J.

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  • Hypotarsus complex.

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  • (c) Complex Constructive: If A, then B; if C, then D; but either A or C; therefore either B or D.

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  • (d) Complex Destructive: If A is true, B is true; if C is true, D is true; but B and D are not both true; hence A and C are not both true.

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  • 25 sqq.) is quite in accordance with Oriental custom and explains the growth of the present extremely complex sources.

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  • This oxide exists in two forms. The aform is readily fusible and melts at 14.8° C. It corresponds to the simple molecular complex S03.

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  • It corresponds to the molecular complex (S03)2.

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  • "Just as a steamengine," he says in Kraft and Stoff (7th ed., p. 130), "produces motion, so the intricate organic complex of force-bearing substance in an animal organism produces a total sum of certain effects, which, when bound together in a unity, are called by us mind, soul, thought."

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  • The ventral region of the thoracic skeleton is complex, each segment usually possessing a median sternum with paired episterna (in front) and epimera (behind).

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  • Some male members of the family have remarkably complex feelers.

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  • the Altai, the still unnamed complex of the Minusinsk Mountains, the intricate mountain-chains of Sayan, with those of the Olekma, Vitim and Aldan all arranged en echelon - the former from N.W.

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  • HEBREW RELIGION (I) Introductory.-To trace the history of the religion of the Hebrews is a complex task, because the literary sources from which our knowledge of that history is derived are themselves complex and replete with problems as to age and authorship, some of which have been solved according to the consensus of nearly all the best scholars, but some of which still await solution or are matters of dispute.

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  • Palestinian states on the other, and that they could scarcely have escaped the all-pervading Babylonian influences of 2000-1400 B.C. It is now becoming clearer every day, especially since the discovery of the laws of Khammurabi, that, if we are to think sanely about Hebrew history before as well as after the exile, we can only think of Israel as part of the great complex of Semitic and especially Canaanite humanity that lived its life in western Asia between 2060 and 600 B.C.; and that while the Hebrew race maintained by the aid of prophetism its own individual and exalted place, it was not less susceptible then, than it has been since, to the moulding influences of great adjacent civilizations and ideas.

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  • In these forms, however, the third joint is really a complex, which in many families bears in addition a jointed bristle (arista) or style, representing the terminal joints of the primitive antenna.

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  • The problem cannot be approached from modern preconceptions because there was much associated with the worship of Yahweh which only gradually came to be recognized as repugnant, and there was much in earlier ages and in other lands which reflects an elevated and even complex religious philosophy.

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  • The structure of the island is complex.

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  • The subject is a very difficult and complex one (see also Calendar).

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  • and the complex industries of the Texan Pogonomyrmex barbatus by H.

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  • E Arabian Sea Ba Of G A L e Geological information incomplete Desert Deposits Quaternary Tertiary Mesozoic Palaeozoic Archaean and Metamorphic Younger Volcanic Rocks English Miles b iuHi iiiiuiiiiii after llargl,aua Geology The geology of Asia is so complex and over wide areas so little known that it is difficult to give a connected account of either the structure or the development of the continent, and only the broader features can be dealt with here.

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  • Egyptian influence within the Aegean area seems certain, and the theory that Greek writing and systems for reckoning time are Babylonian in origin has not been disproved, though the history of the alphabet is more complex than was supposed.

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  • A complex network, however, does occur in Lybiodrilus and certain other Eudrilidae, where the paired nephridia possess ducts leading to the exterior which ramify and anastomose on the thickness of the body wall.

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  • The oesophagus is often furnished with glandular diverticula, the "glands of Morren," which are often of complex structure through the folding of their walls.

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  • Eyes are present, but hardly so complex as in certain genera of Polychaetes.

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  • The difference is that it is broken up into a complex sinus system.

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  • A complex FIG.

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  • Some other glycerides isolated from natural sources are analogous in composition to tristearin, but with this difference, that the three radicals which replace hydrogen in glycerin are not all identical; thus kephalin, myelin and lecithin are glycerides in which two hydrogens are replaced by fatty acid radicals, and the third by a complex phosphoric acid derivative.

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  • It simply consisted iri the application, to the elucidation of these complex problems, of the exact methods of chemical and physical research.

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  • Brewers' wort remains unchanged for years, milk keeps permanently sweet, and these and other complex liquids remain unaltered when freely exposed to air from which all these minute organisms are removed.

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  • He ceased to attend the society in 1829, but he carried away from it the strengthening memory of failure overcome by persevering effort, and the important doctrinal conviction that a true system of political philosophy was "something much more complex and many-sided than he had previously had any idea of, and that its office was to supply, not a set of model institutions but principles from which the institutions suitable to any given circumstances might be deduced."

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  • Although economic motives have become more complex, they have just as much and no more to do with general economic reasoning and analysis than the causes of death with the normal expectation of life, or domestic ideals with the birth-rate.

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  • The (primitively) right-hand organs of the complex thus become lefthand, and vice versa.

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  • The essential feature of the asymmetry of Gastropoda is the atrophy or disappearance of the primitively left half of the circumanal complex (the right half in sinistral forms), including the gill, the auricle, the osphradium, the hypobranchial gland and the kidney.

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  • But this is not part of the primitive complex.

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  • f, Gill lamellae (not ctenidia, but organs of the pallial complex, having two kidneys, in some cases two branchiae, and two auricles.

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  • Pectinibranchia.-In this order there is no longer any trace of bilateral symmetry in the circulatory, respiratory and excretory organs, the topographically right half of the pallial complex having completely disappeared, except the right kidney, which is FIG.

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  • have a twisted visceral nerve-loop, an operculum on the foot, a complex rhipidoglossate or taenio-glossate radula, and are of distinct sexes.

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  • The female portion of the duct is more complex.

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  • Unlike the early horses, the later premolars are as complex as the molars; and although there is a well-marked gap between the canine and the premolars, there is only a very short one between the former and the incisors.

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  • The campaign of 1812 may, therefore, be considered as resulting, fi-stly, from the complex and cramping effects of the Continental System on a northern land which could not deprive itself of colonial goods; secondly, from Napoleon's refusal to mitigate the anxiety of Alexander on the Polish question; and thirdly, from tie annoyance felt by the tsar at the family matters noticed above.

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  • In other words, the whole mental structure we call knowledge consists, in its simplest equally with its most complex constituents, of the "work of the mind."

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  • "That which is" is a whole, not an aggregate; an organic complex of parts, not a mechanical mass; a "whole" too not material but spiritual, a "world of thought-relations."

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  • Specially characteristic of the class, however, is the presence of a complex system of air-tubes (tracheae) for respiration, usually opening to the exterior by a series of paired spiracles on certain of the body segments.

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  • its attachment to the trunk, we find a highly complex series of small sclerites adapted for the varied movements necessary for flight.

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  • It is said that 13,000 such olfactory organs are present on the feeler of a wasp, and 40,000 on the complex antennae of a male cockchafer.

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  • The tracheal system in Hexapods is very complex, 1 x, forming a series of longitudinal trunks with nexions transvers II), anastomosing finest sub-division and extendingdi by g by the After Miall and Denny, The Cock- nest su-vson and re roach, Lovell Reeve & Co.

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  • In the case of the common drone-fly, Eristalis tenax, the individual, from a sedentary maggot living in filth, without any relations of sex, and with only unimportant organs for the ingestion of its foul nutriment, changes to a creature of extreme alertness, with magnificent powers of flight, living on the products of the flowers it frequents, and endowed with highly complex sexual structures.

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  • more complex crystal.

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  • It is these channels which determined the lines of construction; the dwellings followed their windings, and that accounts for the extraordinarily complex network of calles and canals which characterizes modern Venice.

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  • These monkeys are the African representatives of the Indo-Malay langurs (Semnopithecus), with which they agree in their slender build, long limbs and tail, and complex stomachs, although differing by the rudimentary thumb.

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  • Reference has already been made to the silken tube or tent, of simple structure, with an orifice at one or both ends, as the possible origin of all snares, however complex they may be.

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  • Resin soaps are compounds of soda or potash with the complex acids (chiefly abietic) of which coniferous resins consist.

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  • The making of soft soap, although thus a much less complex process than hard soap making, is one that demands much skill and experience for its success.

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  • The actual process of solution is vastly more complex than is indicated by this description of it.

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  • In the separation of the constituents of the complex mixture of oxides obtained from the " rare earth " minerals, the methods generally forced upon chemists are those of fractional precipitation or crystallization; the striking resemblances of the compounds of these elements rarely admitting of a complete separation by simple precipitation and filtration.

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  • Of recent years the introduction of various organic compounds as precipitants or reagents has reduced the labour of the process; and advantage has also been taken of the fairly complex double salts which these metals form with compounds.

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  • Klaproth and Vauquelin also investigated this earth, but without detecting that it was a complex mixture - a discovery reserved for C. G.

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  • This formula, notwithstanding many attempts at both disproving and modifying it, has well stood the test of time; the subject has been the basis of constant discussion, many variations have been proposed, but the original conception of Kekule remains quite as convenient as any of the newer forms, especially when considering the syntheses and decompositions of the benzene complex.

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  • It will be seen, however, that the absolute disposition of the fourth valency may be ignored in a great many cases, and consequently the complex may be adequately represented as a hexagon.

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  • We now proceed to consider the properties, syntheses, decompositions and constitution of the benzene complex.

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  • For example: nitric acid and sulphuric acid readily react with benzene and its homologues with the production of nitro derivatives and sulphonic acids, while in the aliphatic series these acids exert no substituting action (in the case of the olefines, the latter acid forms an addition product); another distinction is that the benzene complex is more stable towards oxidizing agents.

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  • - We have previously alluded to the relative stability of the benzene complex; consequently reactions which lead to its disruption are all the more interesting, and have engaged the attention of many chemists.

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  • Generally rupture occurs at more than one point; and rarely are the six carbon atoms of the complex regained as an open chain.

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  • Strong oxidation breaks the benzene complex into such compounds, as carbon dioxide, oxalic acid, formic acid, &c.; such decompositions are of little interest.

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  • This implied that in the benzene complex there was at least one carbon atom linked to three others, thus rendering Kekule's formula impossible and Ladenburg's and Claus' possible.

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  • Physico-chemical properties have also been drawn upon to decide whether double unions are present in the benzene complex; but here the predilections of the observers apparently influence the nature of the conclusions to be drawn from such data.

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  • In the above account we have indicated the procedure adopted in the analysis of a complex mixture of salts.

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  • In the more complex gases the specific heat varies considerably with temperature; only in the case of monatomic gases does it remain constant.

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  • The equivalent weight is capable of fairly ready determination, but the settlement of the second factor is somewhat more complex, and in this direction the law of atomic heats is of service.

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  • A more complex chromophoric group is the triple ethylenic grouping: C > C =, the introduction of which was rendered necessary by the discovery of certain coloured hydrocarbons.

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  • While very many coloured substances must obviously contain this grouping, yet in many cases it is necessary to assume a simple intermolecular change, while in others a more complex rearrangement of bonds is necessary.

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  • To Jaeger is due the determination of the topic parameters of certain haloid-derivatives, and, while showing that the morphotropic effects closely resemble those occasioned by methyl, he established the important fact that, in general, the crystal form depended upon the orientation of the substituents in the benzene complex.

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  • But so long as we treat Wagner like a prose philosopher, a librettist, a poet, a mere musician, or anything short of the complex and many-sided artist he really is, we shall find insuperable obstacles to understanding or enjoying his works.

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  • The vast myth of the Ring is related in full several times in each of the three main dramas, with ruthless disregard for the otherwise magnificent dramatic effect of the whole; hosts of original dramatic and ethical ideas, with which Wagner's brain was even more fertile than his voluminous prose works would indicate, assert themselves at all points, only to be thwarted by repeated attempts to allegorize the philosophy of Schopenhauer; all efforts to read a consistent scheme, ethical or philosophical, into the result are doomed to failure; but all this matters little, so long as we have Wagner's unfailing later resources in those higher dramatic verities which present to us emotions and actions, human and divine, as things essentially complex and conflicting, inevitable as natural laws, incalculable as natural phenomena.

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  • Its centre is of volcanic rocks, complex in character, while the Coal-measures and New Red Sandstone appear round the edges.

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  • Each of these trunks is surrounded by muscles, and the complex retains the old name of "retinaculum."

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  • Therefore the Arabs designate the whole complex of towns which lay together around Seleucia and Ctesiphon and formed the residence of the Sassanids by the name Madain, "the cities," - their number is often given as seven.

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  • continuous series, with massive, quadrate, transversely ridged or complex crowns--the posterior premolars usually resembling the molars in structure.

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  • If a brief definition of instinct, from the purely biological point of view be required, that given in the Dictionary of Philosophy and Psychology may be accepted: "An inherited reaction of the sensori-motor type, relatively complex 3'p 3' p and markedly adaptive in character, and common to a group of individuals."

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  • The spurs of the central range are a highly intricate complex, covered with dense forests of superb woods.

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  • In 1878-1895 political parties had a complex development.

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  • Finally, we reach a complex number of the nth order.

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  • Such a number is a "one-many" relation which relates n signed real numbers (or n algebraic complex numbers when they are already defined by this procedure) to the n cardinal numbers I, 2..

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  • If such a complex number is written (as usual) in the form x i e l +x 2 e 2 +...

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  • +xnen, then this particular complex number relates x i to I, x 2 to 2,.

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  • Also the "unit" e l (or e,) considered as a number of the system is merely a shortened form for the complex number (+I) ei +0e2+ +oen.

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  • The sum of two complex numbers x i e l +x 2 e 2 + ...

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  • +ynen is always defined to be the complex number (x i +yl)ei+(x2+y2)e2+...

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  • But an indefinite number of definitions of the product of two complex numbers yield interesting results.

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  • Each definition gives rise to a corresponding algebra of higher complex numbers.

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  • We will confine ourselves here to algebraic complex numbers - that is, to complex numbers of the second order taken in connexion with that definition of multiplication which leads to ordinary algebra.

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  • The product of two complex numbers of the second order - namely, l e l +x 2 e 2 and y i e l +y 2 e 2, is in this case defined to mean the complex (x i y i - x 2 y 2)e i +(x i y 2 +x 2 y 1)e 2.

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  • Accordingly, the typical form for such a complex number is x+yi, and then with this notation the above-mentioned definition of multiplication is invariably adopted.

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  • Thus, to say that a pen is an entity and the class of pens is an entity is merely a play upon the word "entity"; the second sense of "entity" (if any) is indeed derived from the first, but has a more complex signification.

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  • Under the general heading "Analysis" occur the subheadings "Foundations of Analysis," with the topics theory of functions of real variables, series and other infinite processes, principles and elements of the differential and of the integral calculus, definite integrals, and calculus of variations; "Theory of Functions of Complex Variables," with the topics functions of one variable and of several variables; "Algebraic Functions and their Integrals," with the topics algebraic functions of one and of several variables, elliptic functions and single theta functions, Abelian integrals; "Other Special Functions," with the topics Euler's, Legendre's, Bessel's and automorphic functions; "Differential Equations," with the topics existence theorems, methods of solution, general theory; "Differential Forms and Differential Invariants," with the topics differential forms, including Pfaffians, transformation of differential forms, including tangential (or contact) transformations, differential invariants; "Analytical Methods connected with Physical Subjects," with the topics harmonic analysis, Fourier's series, the differential equations of applied mathematics, Dirichlet's problem; "Difference Equations and Functional Equations," with the topics recurring series, solution of equations of finite differences and functional equations.

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  • For the subjects of this heading see the articles DIFFERENTIAL EQUATIONS; FOURIER'S SERIES; CONTINUED FRACTIONS; FUNCTION; FUNCTION OF REAL VARIABLES; FUNCTION COMPLEX; GROUPS, THEORY OF; INFINITESIMAL CALCULUS; MAXIMA AND MINIMA; SERIES; SPHERICAL HARMONICS; TRIGONOMETRY; VARIATIONS, CALCULUS OF.

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  • Between them the general theory of the complex variable, and of the various "infinite" processes of mathematical analysis, was established, while other mathematicians, such as Poncelet, Steiner, Lobatschewsky and von Staudt, were founding modern geometry, and Gauss inaugurated the differential geometry of surfaces.

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  • The few remaining fragments produce the impression of vivid and rapid narrative, to which the flow of the native Saturnian verse, in contradistinction to the weighty and complex structure of the hexameter, was naturally adapted.

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  • Various theories have been from time to time proposed to account for this complex of enactments.

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  • The complex of observances connected with the Passover and the very want of systemization observed in the literary sources would seem to vindicate the primitive character of the feast, which indeed is recognized by all inquirers.

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  • Yttria is an exceedingly complex mixture, which has been decomposed, yielding as an intermediate product terbia.

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  • Later still Hjort showed that the study of the variability in the productivity of a fishery is always a complex matter - far more so than was formerly supposed.

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  • The exact significance of these roots is a matter for speculation, but it seems possible that they are epiphysial structures remotely comparable with the epiphysial (pineal) complex of the craniate vertebrates.

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  • It seems likely that the coelomic pore-canals were originally excretory organs, but in the existing Enteropneusta the pore-canals (especially the collar canals) have, as we have seen, acquired new functions or become vestigial, and the function of excretion is now mainly accomplished by a structure peculiar to the Enteropneusta called the glomerulus, a vascular complex placed on either side of the anterior portion of the stomochord, projecting into the proboscis-coelom.

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  • The primary products of the dissociation of albumins are the albumoses, characterized by not being coagulable by heat, more soluble than the albumins, having a far less complex composition, and capable of being " salted (7) out " by certain salts, and the peptones, similar to albumoses but not capable of being " salted out "; moreover, peptones are less complex than albumoses.

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  • Here the ions are potassium and the group Ag(CN)2.1 Each potassium ion as it reaches the cathode precipitates silver by reacting with the solution in accordance with the chemical equation K--+KAg(CN) 2 =2KCN+Ag, while the anion Ag(CN) 2 dissolves an atom of silver from the anode, and re-forms the complex cyanide KAg(CN) 2 by combining with the 2KCN produced in the reaction described in the equation.

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  • There is reason to believe that in certain cases such complex ions do exist, and interfere with the results of the differing ionic velocities.

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  • An alternative hypothesis is given by the idea of complex ions.

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  • If some of the anions, instead of being simple iodine ions represented chemically by the symbol I, are complex structures formed by the union of iodine with unaltered cadmium iodide - structures represented by some such chemical formula as I(CdI 2), the concentration of the solution round the anode would be increased by the passage of an electric current, and the phenomena observed would be explained.

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  • It is found that, in such cases as this, where it seems necessary to imagine the existence of complex ions, the transport number changes rapidly as the concentration of the original solution is changed.

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  • If a solution, let us say of sugar, be confined in a closed vessel through the walls of It is probable that in both these solutions complex ions exist at fairly high concentrations, but gradually gets less in number and finally disappear as the dilution is increased.

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  • The results go to show that, where the existence of complex ions is not indicated by varying transport numbers, the observed velocities agree with those calculated on Kohlrausch's theory.

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  • The name is applied in commerce to a complex mixture of carbohydrates obtained by boiling starch with dilute mineral acids; in chemistry, it denotes, with the prefixes d, 1 and d+l (or i), the dextro-rotatory, laevo-rotatory and inactive forms of the definite chemical compound defined above.

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  • It appears to be synthesized in the plant tissues from carbon dioxide and water, formaldehyde being an intermediate product; or it may be a hydrolytic product of a glucoside or of a polysaccharose, such as cane sugar, starch, cellulose, &c. In the plant it is freely converted into more complex sugars, poly-saccharoses and also proteids.

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  • The specific rotation also varies with the concentration; this is due to the dissociation of complex molecules into simpler ones, a view confirmed by cryoscopic measurements.

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  • The properties of caoutchouc clearly show, however, that its actual molecular structure is considerably more complex than is represented by the empirical formula, and that it is to be regarded as the polymer of a terpene or similar hydrocarbon and composed of a cluster of at least ten or twenty molecules of the formula C5H8.

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  • The study of the action of ozone on caoutchouc has thrown new light on the complex question of the chemical structure of this substance, and discloses relationships with the sugars and other carbohydrates from certain of which levulinic acid is obtained by oxidation.

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  • The micas are extremely complex and variable in composition.

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  • This sinus is continued round the oesophagus as the peri-oesophageal sinus, and thus the whole complex of the small arm-sinus has the relations of the so-called vascular system of a Sipunculid.

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  • An improved but somewhat more complex form of the instrument is described in Ann.

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  • ] Joule and others experimented with hardened steel, but failed to find a key to the results they obtained, which are rather complex, and have been thought to be inconsistent.

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  • The paper contains tables and curves showing details of the magnetic changes, sometimes very complex, at different temperatures and with different fields.

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  • Further, it was shown that the thermo-electric curves were modified both by tensile stress and by annealing in the same manner as were the change-of-length curves, the modification being sometimes of a complex nature.

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  • From his first tutor, Johann Delbriick, he imbibed a love of culture and art, and possibly also the dash of Liberalism which formed an element of his complex habit of mind.

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  • The lateral eyes are in Limulus " compound eyes," that is to say, consist of many lenses placed close together; beneath each lens is a complex of protoplasmic cells, in which the optic nerve terminates.

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  • Watase has shown, in a very convincing way, how by deepening the pit-like set of cells beneath a simple lens the more complex ommatidia of the compound eyes of Crustacea and Hexapoda may be derived from such a condition as that presented in the lateral eyes of Limulus and Scorpio.

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  • It was during this period that he first formed those ideas on the theory of functions of a complex variable which led to most of his great discoveries.

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  • The fundamental method of research which Riemann employed has just been alluded to; the results will be best indicated in his own words: "The methods in use hitherto for treating functions of a complex variable always started from an expression for the function as its definition, whereby its value was given for every value of the argument; by our investigation it has been shown that, in consequence of the general character of a function of a complex variable, in a definition of this sort one part of the determining conditions is a consequence of the rest, and the extent of the determining conditions has been reduced to what is necessary to effect the determination.

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  • In the German Patent 1 57573 (1904) it is shown that by the action of at least two molecular proportions of an alkyl formate on two molecular proportions of a magnesium alkyl or aryl haloid, a complex addition compound is formed, which readily decomposes into a basic magnesium salt and an aldehyde, C H MgBr-f-H000R-RO�CH�C H.

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  • As this struggle is of too complex a nature to be described in detail, we must limit ourselves to a summary of its leading episodes.

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  • P.) Long negotiations between the crown and the leaders of the Coalition having failed to give any promise of a; modus vivendi, the king-emperor at last determined to appoint an o The question involves rather complex issues.

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  • The treatment of equations of the second and higher degrees introduces imaginary and complex numbers, the theory of which is a special subject.

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  • The development of the theory of equations leads to the amplification of real numbers, rational and irrational, positive and negative, by imaginary and complex numbers.

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  • Expressions of the form b1,1 - I and a-}-b A l - I, where a and b are real numbers, are then described as imaginary and complex numbers respectively; the former being a particular case of the latter.

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  • Complex numbers are conveniently treated in connexion not only with the theory of equations but also with analytical trigonometry, which suggests the graphic representation of a+b,l - by a line of length (a 2 +b 2)i drawn in a direction different from that of the line along which real numbers are represented.

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  • In the applications of the calculus the co-ordinates of a quaternion are usually assumed to be numerical; when they are complex, the quaternion is further distinguished by Hamilton as a biquaternion.

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  • a n are scalars, and in particular applications may be restricted to real or complex numerical values.

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  • An n-tuple linear algebra (also called a complex number system) deals with quantities of the type A=/aiei derived from n special units e l, e 2 ...

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  • Kronecker, on Complex Numbers and Modular Systems, Berl.

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  • Thus not only did Darwin's theory give a new basis to the study of organic 'structure, but, whilst rendering the general theory of organic evolution equally acceptable and Effects of necessary, it explained the existence of low and simple forms of life as survivals of the earliest ancestry of theory more highly complex forms, and revealed the classifications of the systematist as unconscious attempts to construct the genealogical tree or pedigree of plants and animals.

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  • He showed (1830) that the organisms like Flustra are not hydroid Polyps, but of a more complex structure resembling Molluscs, and he gave them the name Polyzoa.

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  • But it must not be forgotten that the problems presented by human communities are extremely complex, and that the absence of any selection of healthy or desirable stock in the breeding of human communities leads to undesirable consequences.

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  • In 1858 he pointed out the isomorphism of the fluostannates and the fluosilicates, thus settling the then vexed question of the composition of silicic acid; and subsequently he studied the fluosalts of zirconium, boron, tungsten, &c., and prepared silicotungstic acid, one of the first examples of the complex inorganic acids.

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  • The South African Primary System includes a complex of rocks as yet little understood.

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  • A complex of igneous rocks of different ages covers immense areas in the central Transvaal.

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  • This, however, is not exactly accurate, if it be thereby implied that all living things have a visible organization, as there are numerous forms of living matter of which it cannot properly be said that they possess either a definite structure or permanently specialized organs: though, doubtless, the simplest particle of living matter must possess a highly complex molecular structure, which is far beyond the reach of vision.

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  • The Bolivian tin ore is treated by first extracting the silver by amalgamation, &c., and afterwards concentrating the residues; there are, however, considerable difficulties in the way of treating the poorer of these very complex ores, and several chemical processes for extracting their metallic contents have been worked out.

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  • It was a deep-seated belief that those who took part in religious functions were liable to communicate this " holiness " to others (compare the complex ideas associated with the Polynesian taboo).

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  • The oldest and perhaps most reasonable idea represents guncotton as cellulose trinitrate, but this has been much disputed, and various formulae, some based on cellulose as C, 2 H200 10, others on a still more complex molecule, have been proposed.

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  • Dry guncotton heated in ammonia gas detonates at about 70°, and ammonium hydroxide solutions of all strengths slowly decompose it, yielding somewhat complex products.

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  • The two systems of folds meet about Barquisimeto, where the structure becomes very complex and is not thoroughly understood.

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  • TRIAZOLES (pyrro-a and (3'-diazoles), in organic chemistry, a series of heterocyclic compounds containing the ring complex (annexed formula).

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  • The human organism is far too complex to enable us to understand the true significance of diseased processes.

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  • Among the drawbacks of this temper, which on the whole made for progress, was the rise of a school of excessive scepticism, which, forgetting the value of the accumulated stores of empiricism, despised those degrees of moral certainty that, in so complex a study and so tentative a practice as medicine, must be our portion for the present, and even for a long future, however great the triumphs of medicine may become.

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  • Highly complex as are all animal tissues, or nearly all, yet in this category of high complexity are degrees higher and higher again of which we can form little conception, so elaborate they are, so peculiar in their respective properties, and probably so fugitive.

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  • By these, and other instruments of precision, such as the thermometer, of which we have already spok en, the eminently scientific discipline of the measurement of functional movements, so difficult in the complex science of biology, has been cultivated.

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  • It was based on an accidental observation of the action of metallic aluminium on amyl chloride, and consists in bringing together a hydrocarbon and an organic chloride in presence of aluminium chloride, when the residues of the two compounds unite to form a more complex body.

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  • The canes from which the patterns are formed are either simple or complex.

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  • A vase decorated with these simple or complex canes is produced by embedding short lengths of the cane on the surface of a mass of molten glass and blowing and fashioning the mass into the required shape.

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  • The organic derivatives of silicon resemble the corresponding carbon compounds except in so far that the silicon atom is not capable of combining with itself to form a complex chain in the same manner as the carbon atom, the limit at present being a chain of three silicon atoms. Many of the earlier-known silicon alkyl compounds were isolated by Friedel and Crafts and by Ladenburg, the method adopted consisting in the interaction of the zinc alkyl compounds with silicon halides or esters of silicic acids.

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  • These complex organs have apparently arisen by the increase in depth and differentiation of an accessory sucker such as is borne on the phyllidia of the former group. Lastly, the scolex of the more familiar Taeniidae (Tetracotylea) carries a rostellum encircled with hooks and four cup-shaped suckers the margins of which do not project beyond the surface of the body.

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  • Internal to the suckers are the four complex hooked proboscides.

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  • The generative organs are of the complex hermaphroditic type described in Trematoda (q.v.).

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  • Scolex with four complex eversible proboscides.

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  • The compounds of ammonia thus formed from the complex substances by many varied kinds of micro-organisms are ultimately oxidized into nitrates.

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  • An important group of soil organisms are now known which have the power of using the free nitrogen of the atmosphere for the formation of the complex nitrogenous compounds of which their bodies are largely composed.

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  • Most of these more or less directly improve the land by adding to it certain plant food constituents which are lacking, but the effect of each process is in reality very complex.

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  • The manufacture of snuff is the most complex, tedious and difficult undertaking of the tobacco manufacture, but it is now of but little ff importance.

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  • In practice, however, we never have to deal with pure zinc minerals, but with complex mixtures, which must first of all be subjected to mechanical operations, to remove at least part of the gangue, and if possible also of the heavy metallic impurities.

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  • Neither mechanical nor magnetic concentration can effect much in the way of separation when, as in many complex ores, carbonates of iron, calcium and magnesium replace the isomorphous zinc carbonate, when some iron sulphide containing less sulphur than pyrites replaces zinc sulphide, and when gold and silver are contained in the zinc ore itself.

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  • Ashcroft patented a process of dealing with complex ores of the well-known Broken Hill type, containing sulphides of silver, lead and zinc, but the system was abandoned after a long trial on a practical scale.

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  • A little to the south-west of the cathedral is the Hofburg, or imperial palace, a huge complex of buildings of various epochs and in various styles, enclosing several courtyards.

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  • The titanates are very similar to the silicates in their tendency to assume complex forms, e.g.

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  • By the action of ammonia on the alkyl iodides a complex mixture of primary, secondary and tertiary amines, along with a quaternary ammonium salt, is obtained, the separation of which is difficult.

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  • The qualification " almost " is necessary because so complex a system of actions comes into play, and accurate observations have extended through so short a period, that the proof cannot be regarded as absolute.

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  • If a complex mixture be operated upon, and a separation effected by collecting the distillates in several portions, the operation is termed "fractional distillation."

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  • The Alexandrians prepared oil of turpentine by distilling pine-resin; Zosimus of Panopolis, a voluminous writer of the 5th century A.D., speaks of the distillation of a "divine water" or "panacea" (probably from the complex mixture of calcium polysulphides, thiosulphate, &c., and free sulphur, which is obtained by boiling sulphur with lime and water) and advises "the efficient luting of the apparatus, for otherwise the valuable properties would be lost."

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  • The theory of fractional distillation, or the behaviour of liquid mixtures when heated to their boiling-points, is more complex.

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  • The distillation of completely miscible mixtures is the most common practically and the most complex theoretically.

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  • Normandy's apparatus, although economical and producing water of good quality, is very complex in its structure, consisting of very numerous working parts, with elaborate arrangements of pipes, cocks and other fittings.

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  • In the ectoparasitic Trematodes this post-oral sucker is a complex disk placed near the hinder end and provided With suckerlets, hooks and a musculature arising from a special skeleton.

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  • If ectoparasitic and attached to the skin, apertures or gills, the Trematode adopts more elaborate adhesive organs and undergoes a less complex development than are required for the endoparasitic members of the class.

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  • Farther south there is still the great complex of buildings which form the chief seat of the Mevlevi dervishes, a sect widely spread over Anatolia.

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  • For further details of his mathematical investigations see the articles Theory of groups, and Functions Of Complex Variables.

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  • When we reflect that the chapter is not narrative, but an abstract exposition of the guiding principles of the movements of several centuries, with many threads of complex thought running along side by side all through the speculation, then the circumstances under which it was reduced to literary form are really astonishing.

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  • The more particular and complex phenomena depend upon the simpler and more general.

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  • It is first mentioned in 1322, was bought with the adjacent hostelry in 1405 by the city and rearranged as a town hall, and has since, from time to time, been enlarged by the purchase of adjoining patrician houses, forming a complex of buildings of various styles and dates surmounted by a clock tower.

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  • The higher (at least in times of" evolution ") is the more complex and differentiated, whether it invariably survives or not.

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  • And he admits (§ 63) that if we were compelled to choose between translating mental phenomena into physical and its converse, the latter would be preferable, seeing that the ideas of matter and motion, merely symbolic of unknowable realities, are complex states of consciousness built out of units of feeling.

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  • Originally the socially salutary action was in the main that which was enjoined on the individual by his political and religious superiors and by social sentiment; it was also in the main that to which his higher, more complex and re-representative feelings prompted.

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  • In fact the uniformity of brass and bell-metal is only superficial; if we adopt the methods described in the article Metallography, and if, after polishing a plane face on a bit of gun-metal, we etch away the surface layer and examine the new surface with a lens or a microscope, we find a complex pattern of at least two materials.

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  • In this case the white tin-rich portions are themselves a complex that can be resolved into two substances by a higher magnification.

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  • All mixtures whose temperature lies above the line ACB are wholly liquid, hence this line is often called the "liquidus "; all mixtures at temperatures below that of the horizontal line through C are wholly solid, hence this line is sometimes called the " solidus," but in more complex cases the solidus is often curved.

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  • If we examine alloys on the tin side we shall find large crystals of tin embedded in the same complex.

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  • 2 (Plate), shows the minute complex of the tin-lead eutectic, photographed by J.

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  • This alloy, if allowed to solidify completely before chilling, turns into a uniform solid solution, and at still lower temperatures the solid solution breaks up into a pearlite complex.

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  • It is probable that all the alloys of compositions between B and D, when they begin to solidify, deposit crystals of the compound; the lower eutectic B probably corresponds to a solid complex of mercury and the compound.

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  • The higher eutectic D may correspond to a complex of solid thallium and the compound; but the possible existence of solid solutions makes further investigation necessary here.

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  • It also possesses a splendid purple Here, the large dark masses are the silver or silver-rich substance that crystallized above the eutectic temperature, and the more minute black and white complex represents the eutectic. It is not safe to assume that the two ingredients we see are pure silver and pure copper; on the contrary, there is reason to think that the crystals of silver contain some copper uniformly diffused through them, and vice versa.

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  • The difference between softness and hardness in ordinary steel is due to the permanence of a solid solution of carbon in iron if the steel has been chilled or very rapidly cooled, while if the steel is slowly cooled this solid solution breaks up into a minute complex of two substances which is called pearlite.

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  • In the case of some bronzes, for example that with about 25% of tin, the solid solution is soft, and the complex into which it FIG.

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  • The singularly complex population is composed of Christians, Maronites, and Orthodox Eastern and Uniate; of Moslems, both Sunni and Shiah (Metawa]i); and of Druses.

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  • At higher densities it is probable that more complex aggregates would be formed, so that as the effect of the collisions became more important c would cease to be a function of the temperature only; experiment, indeed, shows this to be the case.

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  • The native metal crystallizes in the cubic system, the octahedron being the commonest form, but other and complex combinations have been observed.

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  • The Carpathians proper consist of an outer wall, which forms the frontier between Hungary and the adjacent provinces of Austria, and of an inner wall which fills the whole of Upper Hungary, and forms the central group. The outer wall is a complex, roughly circular mass of about 600 m.

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  • The inner zone is not continuous, and is"much more complex in structure.

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  • This great complex was apparently supplied with water from Hadrian's aqueduct from Lake Stymphalus.

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  • Of the rarer bismuth minerals we may notice the following: - the complex sulphides, copper bismuth glance or wittichenite, BiCu 3 S 3, silver bismuth glance, bismuth cobalt pyrites, bismuth nickel pyrites or saynite, needle ore (patrinite or aikinite), BiCuPbS 3, emplectite, CuBiS 2, and kobellite, BiAsPb 3 S 6; the sulphotelluride tetradymite; the selenide guanajuatite, B12Se3, Iv.

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  • The characters thus composed, though so simple as to their basal unit, are appallingly complex in their elaboration.

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  • On the other hand, there are thousands of very small species, and the tiny " fairy-flies " (Myynaridae), whose larvae live as parasites in the eggs of various insects, are excessivel y minute for creatures of such complex organization.

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  • It combines directly with sulphur trioxide to form a complex of composition TeC1 4.2SO 3.

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  • The normal salts are all insoluble in water; the complex acid, hexatantalic acid, H $ Ta 6 0, 9 (which does not exist in the free state), forms soluble salts with the alkaline metals.

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  • Instead of the above complex theory this writer now offers another (Die Offenbarung Johannis, 1904), 1 in which he distinguishes an apocalypse of John, A.D.

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

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  • Stomach almost always more or less complex.

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  • Stomach, although complex, differing essentially from that of the Pecora.

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  • The stomach is simple or somewhat complex, and the placenta diffused.

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  • The Dicotylinae differ from the Suinae in that the upper canines are directed downwards (instead of curving upwards) and have sharp cutting-edges, while the toes are four in front and three behind (instead of four on each foot), and the stomach is complex instead of simple.

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  • The stomach is complex; but there is no caecum.

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  • Acetylene is readily decomposed by heat, polymerizing under its influence to form an enormous number of organic of compounds; indeed the gas, which can itself be directly prepared from its constituents, carbon and hydrogen, under the influence of the electric arc, can be made the startingpoint for the construction of an enormous number of different organic compounds of a complex character.

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  • The situation became more complex after the 19th of April, when France declared war against Austria and prepared to invade the Austrian or Belgic Netherlends.

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  • Gradually, from Eratosthenes to Tycho, Hipparchus playing the most important part among ancient astronomers, the complex astrolabe was evolved, large specimens being among the chief observa tory instruments of the 15th, 16th and even 17th centuries; while small ones were in use among travellers and learned men, not only for astronomical, but for astrological and topographical purposes.

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  • To sketch even in outline " The Evolution of Congregationalism " in correspondence with so complex an environment is here impossible.

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  • The period of Algol, as measured by its eclipses, is subject to complex irregularities.

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  • The above analysis is rough, since even distantly placed sections, indeed the two parts themselves, are interrelated by delicate complex references on and back.

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  • The choice of the type to be adopted depends on many and complex considerations: - (r) The cost, having regard to the materials available.

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  • development of theory has advanced poi passe with the demand for bridges of greater strength and span and of more complex design, and there is now little uncertainty in calculating the stresses in any of the types of structure now adopted.

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  • The task is one of extraordinary difficulty, for the textual problems of the various writings are complex and confused: the Greek original is extant in a few cases only (the Commentary on Daniel, the Refutation, on Antichrist, parts of the Chronicle, and some fragments); for the rest we are dependent on fragments of translations, chiefly Slavonic, all of which are not even published.

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  • Thereafter, when the restoration of the Roman Catholic religion was in the mind of the First Consul, Fesch resumed his clerical vocation and took an active part in the complex negotiations which led to the signing of the Concordat with the Holy See on the 15th of July 1801.

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  • Cod-liver oil contains palmitin, stearin and other more complex glycerides; the "stearine" mentioned above, however, contains very little palmitin and stearin.

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  • Several complex polysulphides of ammonium have been isolated, for details of which see Bloxam's paper quoted above.

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  • 1876) still further defined and accentuated the conception of the system by representing it as a complex arrangement of several parallel ranges, running in wavy lines from the Pamirs (76° E.) eastwards to 118° E.

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  • Soc., 1889, 55, p. 163) determined the vapour density of hydrofluoric acid at different temperatures, and showed that there is no approach to a definite value below about 88° C. where it reaches the value 10.29 corresponding to the molecular formula HF; at temperatures below 88° C. the value increases rapidly, showing that the molecule is more complex in its structure.

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

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  • A sacrificial priesthood will arise as the worship becomes more complex.

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  • Private sacrifices, too, could hardly be offered without some priestly aid now that ritual was more complex; the provision of Deut.

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  • We may, in short, put this complex matter as follows: The conditions of the problem are sufficiently satisfied by supposing a single editor, who had three works at his disposal, the Martyrdom of Isaiah, of Jewish origin, and the Testament of Hezekiah and the Vision of Isaiah, of Christian origin.

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  • (4) In the theory of morals, Bailey is an advocate of utilitarianism (though he objects to the term "utility" as being narrow and, to the unthinking, of sordid content), and works out with great skill the steps in the formation of the "complex" mental facts involved in the recognition of duty, obligation, right.

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  • The situation at his accession was grave and complex: the steady growth of Protestantism, the preponderant power of the emperor and his prolonged wars with France, the advances of the Turks, the uncertain mind of the Church itself - all conspired to produce a problem involved and delicate.

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  • The casein, which forms the principal constituent of cheese, and a certain proportion of albumen which is present, form the nitrogenous, while the complex saline substances and water are the mineral constituents.

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  • Among modern writers, James Seth (Ethical Princ., 1894) resumes Aristotle's position, and places Eudaemonism as the mean between the Ethics of Sensibility (hedonism) and the Ethics of Rationality, each of which overlooks the complex character of human life.

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  • The rocks of Secondary and Tertiary ages have been profoundly affected by the Alpine movements, and are thrown into a series of complex folds, so that in numerous instances their stratigraphy is imperfectly understood.

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  • In Leydigia he has recently found a structure almost as complex as that of the Daphniidae.

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  • Sometimes, for instance, the excerpts from the older documents form long and complete narratives; in other cases (as in the account of the Flood) they consist of a number of short passages, taken alternately from two older narratives, and dovetailed together to make a continuous story; in the books of Judges and Kings the compiler has fitted together a series of older narratives in a framework supplied by himself; the Pentateuch and book of Joshua (which form a literary whole, and are now often spoken of together as the Hexateuch) have passed through more stages than the books just mentioned, and their literary structure is more complex.

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  • In group 4 the situation is more complex; Clement used a text which has most in common with.

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  • In 1811 he became secretary of state in succession to Maret, duc de Bassano, and showed his usual ability in the administration of the vast and complex affairs of the French empire, including the arrangements connected with the civil list and the imperial domains.

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

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  • A connexion with the circular functions, however, appears later when the definition of log x is extended to complex values of x.

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  • The definitions of the logarithmic and exponential functions may be extended to complex values of x.

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  • We cannot here undertake to set forth and explain in detail all the complex varieties of the Gnostic systems; but it will be useful to take a nearer view of certain principal figures which have had an influence upon at least one series of Gnostic systems, and to examine their origins in the history of religion.

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  • Thus actual documents of native Aztec history, or copies of them, are still open to the study of scholars, while after the conquest interpretations of these were drawn up in writing by Spanish-educated Mexicans, and histories founded on them with the aid of traditional memory were written by Ixtilxochitl and Tezozomoc. In Central America the rows of complex hieroglyphs to be seen sculptured on the ruined temples probably served a similar purpose.

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  • These consist of combinations of faces, circles, lines, &c., arranged in compartments in so complex a manner that hardly two are found alike.

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  • In the female the gonad is complex as in flatworms, composed of a germary for the formation of the eggs, and a vitellary, much more conspicuous and alone figured (ov), consisting of a definite number of large nucleated cells for the nourishment of the eggs.

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  • The relative size of the crop to the trophi varies greatly; it is small where the trophi are well developed and complex, as well as in Bdelloidea; but in Flosculariaceae it is large, and so it is in Asplanchnaceae.

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  • Additional paired antennae may occur within the coronal surface, which is the seat of the sensory styles, of less complex structure, which occur in many genera.

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  • Nature as the sum of that which is objective, intelligence as the complex of all the activities making up self-consciousness, appear thus as equally real, as alike exhibiting ideal structure, as parallel with one another.

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  • Its manifoldness is not then to be taken as excluding its fundamental unity; the divisions which our ordinary perception and thought introduce into it have not absolute validity, but are to be interpreted as the outcome of the single formative energy or complex of forces which is the inner aspect, the soul of nature.

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  • c) have shown that, in some forms at any rate, the finer structure and detailed development of the nuclear apparatus is extremely complex.

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  • Comprehensive researches (1905, seq.) have made it evident that Trypanosomes have a much more varied and complex development and life-history than was previously supposed.

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  • 7, from which it will be seen that the cytological details are very complex.

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  • 8.89 8.84 8.73 6-08 5.75 5.67 This shows that the iodine molecule becomes less complex in structure at higher temperatures.

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  • The White Mountains of northern New Hampshire may be treated as a complex group of rnonadnocks, all of subdued forms, except for a few cliffs at the head of cirque-like valleys, with Mt Washington, the highest of, the dome-like or low pyramidal summits, reaching 6293 ft., and thirteen other summits over 5000 ft.

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  • As in the Atlantic coastal plain, it is only the lower, seaward part of this region that deserves the name of plain, for there alone is the surface unbroken by hills or valleys; the inner part, initially a plain by reason of its essentially horizontal (gently seaward-sloping) structure, has been converted by mature dissection into an elaborate complex of hills and valleys, usually of increasing altitude and relief as one passes inland.

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  • The mountains rapidly grow wider and higher northward, by taking on new complications of structure and by including large basins between the axes of uplift, tintil in northern Colorado and Utah a complex of ranges has a breadth of 300 m., and in Colorado alone there are 40 summits over 14,000 ft.

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  • Examination will, however, show that a modification similar to that which has transformed the comparatively simple molar tooth of the mastodon into the extremely complex grinder of the Indian elephant has served to change the tooth of the common pig into that of Phacochoerus.

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  • A chemical classification of alkaloids is difficult on account of their complex constitution.

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  • The river systems are therefore in many cases complex and tortuous, and very often the successive connecting links between the lakes receive different names.

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  • Papineau, By Dealing With More Complex Questions, Taking A Higher Point Of View, And Expressing Himself With A Much Apter Flexibility Of Style.

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  • In the form secundi adjacentis we only get oppositions, such as the following: - man is - man is not not - man is - not - man is not In the form tertii adjacentis the oppositions, becoming more complex, are doubled, as follows: man is just - man is not just man is non-just - man is not non-just not-man is just - not-man is not just not-man is non-just - not-man is not non-just.

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  • On the other hand, the reduced feelers, the numerous Malpighian tubes (40), the large complex eyes, the vestigial condition of the jaws, the excessive size of the fore-wings as compared with the hind-wings and their complex neuration with an enormous number of crossnervules are all specializations.

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  • All the wings are of firm, glassy texture, and very complex in their neuration; a remarkable and unique feature is that a branch of the radius (the radial sector) crosses the median nervure, while, by the development of multitudinous cross-nervules, the wing-area becomes divided into an immense number of small areolets.

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  • This brief summary of the leading features of the Arthurian tradition will indicate with what confused and complex material we are here dealing.

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  • Several other complex chrom-sulphuric acids are known, e.g.

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  • Chromium salts readily combine with ammonia to form complex salts in which the ammonia molecule is in direct combination with the chromium atom.

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  • Their configuration was determined by their relationship to their oxalo-derivatives; the cis-dichloro chloride, [CrC 2 H 4 (NH 2) 2 C1 2 ]Cl-H 2 0, compound with potassium oxalate gave a carmine red crystalline complex salt, [Cr{C2H4(NH2)2}C204][CrC2H4(NH2)2-(C204)2]12H20, while from the trans-chloride a red complex salt is obtained containing the unaltered trans-dichloro group [CrC2H4(NH2)2 C12]

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  • Thus in the primitive mollusc the mantle-cavity contains a symmetrical group of structures at the posterior end of the body, and this group of structures is called the pallial complex.

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  • The stomach varies in form from the simple oval bag of the squirrels to the complex ruminant like organ of the lemmings.

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  • The stomach is generally complex.

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  • In Abrocoma the tail has no tuft, the ears are still larger and the lower cheek-teeth more complex than the upper ones.

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  • Hooke, in 1674, published his observations of y Draconis, a star of the second magnitude which passes practically overhead in the latitude of London, and whose observations are therefore singularly free from the complex corrections due to astronomical refraction, and concluded that this star was 23" more northerly in July than in October.

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  • Such spectra seem to be characteristic of complex molecular structure, as they appear when compounds are raised to incandescence without decomposition, or when we examine the absorption spectra of vapours such as iodine and bromine and other cases where we know that the molecule consists of more than one atom.

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  • Compounds generally show spectra of resolvable bands, and if an elementary body shows a spectrum of the same type we are probably justified in assuming it to be due to a complex molecule.

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  • It is in the case of the absorption spectra of liquids that we can most often discover some connexion between vibrations of a complex system and that of the simpler systems which form the complex.

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  • The Platyelmia are hermaphrodite and the reproductive organs are complex.

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  • The female organs are no less complex.

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  • By Rabbinical law the ceremony was later made more complex.

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  • the impulse of a beast arising from hunger and sight of prey; on the other hand, complex volition issuing in a voluntary act requiring decision (Entscheidung) or conscious adoption of a motive, with or without choice.

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  • Further, Wundt declares that the psychical compound of sensations, with which, according to him, we actually start, is not a complex sensation, but a compound idea; so that I am expected to believe that, when I hear the chord of D, I am not conscious of single sensations of D, F, A, and have only a compound idea of the chord - as if the hearing of music were merely a series of ideas!

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  • Although he does not agree with Kant that either the formal element in sense or the synthesis of sensations is a priori, yet in very Kantian fashion, through not distinguishing between operation and object, he holds that, in synthetically combining sensations of touch and sight, we not only have a complex perception of a solid body, but also know this " object thought of " as itself the complex of these sensations objectified.

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  • But what he proceeds to suppose is that, having the conception, and finding that the complex of perceptions needs accounting for, we infer a real condition, e.g.

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  • Matter thus, which had at first been defined as a complex of perceptions objectified, now turns out to be a condition without which perceptions would not exist, but whose nature is known only as a complex of perceptions.

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  • The third route, starting from Chester and passing up the western coast, is more complex, and exists in duplicate, the result perhaps of two different schemes of road-making.

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  • The articulation between the tibia and astragalus is more complex than in other mammals, the end of the malleolus entering into it.

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  • To them the Eastern problem presented a less complex aspect.

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  • The mediae have become aspirate tenues with a low intonation, which also marks the words having a simple initial consonant; while the former aspirates and the complex initials simplified in speech are uttered with a high tone, or, as the Tibetans say, " with a woman's voice," shrill and rapidly.

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  • The distinction between these two classes is not sharp; though when the properties of the resultant are sensibly the sum of those of the pure components, as is nearly the case for a complex gas such as air, it is usual to class it as a mixture.

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  • When the two components form chemical compounds with each other, the phenomena of mutual solubility become more complex.

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  • When the equilibria become more complex difficulties of interpretation of the experimental results often arise.

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  • Each molecular complex, formed by solution and solvent, is treated as a single molecule.

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  • The machinery of expression having thus been indicated, the connexion of the physical actions and the psychical state was made the subject of speculation by Herbert Spencer (Psychology, 1855) These speculations were reduced to a system by Darwin (Expression of Emotions, 1872), who formulated and illustrated the following as fundamental physiognomical principles: (1) Certain complex acts are of direct or indirect service, under certain conditions of the mind, in order to relieve or gratify certain sensations or desires; and whenever the same states of mind are induced the same sets of actions tend to be performed, even when they have ceased to be of use.

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  • They are remarkable for the possession of complex ears (described in the article Hexapoda) anti From Carpenter's Insects.

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  • Near the palaestra on the south a - Byzantine church forms the central point in a complex group of remains.

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  • The stomach is much more complex than in the true pigs, almost approaching that of a ruminant.

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  • A classical and highly complex case first investigated and explained by R.

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  • Others are more complex, numerous species being involved.

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  • The chemistry of lichens is very complex, not yet fully investigated and can only be very briefly dealt with here.

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  • Souls passed at once to heaven or to hell; a doctrine even less adequate to the complex quality of human life.

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  • The northern and eastern regions are:broken by an extensive complex of chains and peaks, whose rugged limestone flanks are clad at most with stunted shrubs and barely leave room for a few precarious mule-tracks.

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  • Within this zone the crust of the earth has been ridged up into a complex system of creases or folds, out of which the great mountain chains of southern Europe and Asia have been carved by atmospheric agencies.

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  • Respiration in plants, as in other organisms, is a process that goes on by night as well as by day and consists in plants in the breaking up of the complex carbonaceous substances formed by assimilation into less complex and more transportable substances.

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  • With ammonia they yield complex condensation products; acetone forming diand tri acetonamines (W.

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  • fungus, a mushroom), the botanical name covering in the broad sense all the lower cellular Cryptogams devoid of chlorophyll, which arise from spores, and the thallus of which is either unicellular or composed of branched or unbranched tubes or cell-filaments (hyphae) with apical growth, or of more or less complex wefted sheets or tissue-like masses of such (mycelium).

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  • In the more complex tissue-bodies of higher fungi, however, we find considerable differences in the various layers or strands of hyphae.

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