Complex Sentence Examples
It was one of many complex issues.
There should be complex interaction between those trends and currents.
The position becomes more complex where an investigation is underway.
It was a complex task of regenerating Docklands, because its diverse areas were enormous.
It is said that there is a complex relationship between the Gospels.
She is no more mysterious and complex than any other person.
The structure of the island is complex.
I'm starting to get a complex.
The changes, however, were too numerous and complex to be dealt with here.
The driver said nothing the rest of the way and dropped them off in front of her apartment complex without asking for directions.
AdvertisementA 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.
Its composition is somewhat complex.
Prisons.The prisons of France, some of them attached to the ministry of the interior, are complex in their classification.
The Devonian system includes a complex series of deposits, which are of most interest in eastern Australia.
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.
AdvertisementThe difference is that it is broken up into a complex sinus system.
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.
It simply consisted iri the application, to the elucidation of these complex problems, of the exact methods of chemical and physical research.
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.
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.
AdvertisementBut this is not part of the primitive complex.
The female portion of the duct is more complex.
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.
Resin soaps are compounds of soda or potash with the complex acids (chiefly abietic) of which coniferous resins consist.
The (primitively) right-hand organs of the complex thus become lefthand, and vice versa.
AdvertisementThe 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.
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."
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.
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.
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.
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.
In the first of these the mountain ranges are complex, appearing to radiate from a centre at which lies Merj el-Ghuruk, a small plain about 4 m.
The population of the larger towns is of a much more complex nature.
Yet, the conditions in Palestine during the monarchies reveal grave and complex social problems, marked class distinctions, and constant intercourse and commercial enterprise.
Since Much Smaller Values Are Found For More Complex Molecules, We May Suppose That, In These Cases, The Energy Of Rotation Of A Polyatomic Molecule May Be Greater Than Its Energy Of Translation, Or Else That Heat Is Expended In Splitting Up Molecular Aggregates, And Increasing Energy Of Vibration.
For More Complex Molecules The Radiative And Absorptive Powers Are Known To Be Much Greater.
From the more complex systems of this kind, we pass to the consideration of starclusters, which are systems of stars in which the components are very numerous.
These monkeys are characterized by their lank bodies, long slender limbs and tail, welldeveloped thumbs, absence of cheek-pouches, and complex stomachs.
It is represented by the great complex of ruin mounds known to the Arabs as Nuffar, written by the earlier explorers Niffer, divided into two main parts by the dry bed of the old Shatt-en-Nil (Arakhat).
The great complex of ruin mounds lying S.W.
The axis of the member xQ+x'Q' of the second-order complex Q, Q' (where Q=nq+wr, Q'=nq'+wr' and x, x' are scalars) is parallel to a fixed plane and intersects a fixed transversal, viz.
Human personality, we learn, is the temporary manifestation of a complex organization consisting of "seven principles," which are united and interdependent, yet divided into certain groups, each capable of maintaining temporarily a spurious kind GI personality of its own and sometimes capable of acting, so to speak, as a distinct vehicle of our conscious individual life Each "principle" is composed of its own form of matter, determined and conditioned by its own laws of time, space and motion, and is, as it were, the repository of our various memories and volitions.
Crystals are usually twinned, and are often complex and difficult to decipher.
Tungstic acid closely resembles molybdic acid in combining with phosphoric, arsenious, arsenic, boric, vanadic and silicic acids to form highly complex acids of which a great many salts exist.
It will be seen that, in consequence of this, municipal life in Italy was from the first more complex, the main constituent parts of the population being the capitani, or greater nobles, the valvassori, or lesser nobles (knights) and the people (popolo).
But however completement assujettie Paris might be, its organization, naturally, was immensely more complex than that of hundreds of smaller places which, formally, might stand in an identical relationship to their lords.
The ores may contain a larger proportion of sulphides and complex silver minerals than with the Patio process and still give a satisfactory extraction.
The family, the tribe, the city, the simpler and more complex organisms of the Hellenic polity, were specially under his care and direction.
Others have held that the self has a complex content, the subject self being, as it were, a fuller expression of the object-self (so Bradley); or again the subject self is the active content of the mind, and the object self the passive content which for the moment is exciting the attention.
The most satisfactory and also the most general view is that consciousness is complex and unanalysable.
Running through these volumes in order, we have in the second the memoir, Summatio quarundam serierum singularium, the memoirs on the theory of biquadratic residues, in which the notion of complex numbers of the form a--bi was first introduced into the theory of numbers; and included in the Nachlass are some valuable tables.
The tour finished with a buffet lunch at Maglands, a sheltered housing complex in Watchet.
We visit Carrowmore, the most extensive megalithic complex in Ireland, containing dolmens, ring forts and fairy rings.
In my understanding, the inferiority complex refers to the need to be an individual.
It was off to Fleetwood by the tram to the Freeport shopping complex.
The world will still need ever-smarter specialists doing ever-more complex work.
Complex projects can be carried out on multiple continents through project management tools.
We deduced that he had a casanova complex by his apparent need to seduce everything that walked.
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.
The distribution of living organisms is a complex problem, a function of many factors, several of which are yet but little known.
It corresponds to the molecular complex (S03)2.
The ventral region of the thoracic skeleton is complex, each segment usually possessing a median sternum with paired episterna (in front) and epimera (behind).
Some male members of the family have remarkably complex feelers.
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.
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.
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.
The subject is a very difficult and complex one (see also Calendar).
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.
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."
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.
The actual process of solution is vastly more complex than is indicated by this description of it.
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.
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.
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.
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.
We now proceed to consider the properties, syntheses, decompositions and constitution of the benzene complex.
Strong oxidation breaks the benzene complex into such compounds, as carbon dioxide, oxalic acid, formic acid, &c.; such decompositions are of little interest.
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.
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.
In the above account we have indicated the procedure adopted in the analysis of a complex mixture of salts.
In the more complex gases the specific heat varies considerably with temperature; only in the case of monatomic gases does it remain constant.
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.
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.
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.
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.
Its centre is of volcanic rocks, complex in character, while the Coal-measures and New Red Sandstone appear round the edges.
Each of these trunks is surrounded by muscles, and the complex retains the old name of "retinaculum."
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.
The spurs of the central range are a highly intricate complex, covered with dense forests of superb woods.
In 1878-1895 political parties had a complex development.
Finally, we reach a complex number of the nth order.
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..
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.
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.
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.
Various theories have been from time to time proposed to account for this complex of enactments.
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.
Yttria is an exceedingly complex mixture, which has been decomposed, yielding as an intermediate product terbia.
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.
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.
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.
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.
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.
There is reason to believe that in certain cases such complex ions do exist, and interfere with the results of the differing ionic velocities.
An alternative hypothesis is given by the idea of complex ions.
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.
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.
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.
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.
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.
The paper contains tables and curves showing details of the magnetic changes, sometimes very complex, at different temperatures and with different fields.
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.
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.
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.
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.
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.
The treatment of equations of the second and higher degrees introduces imaginary and complex numbers, the theory of which is a special subject.
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.
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.
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.
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.
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.
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.
The South African Primary System includes a complex of rocks as yet little understood.
A complex of igneous rocks of different ages covers immense areas in the central Transvaal.
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.
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).
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.
The two systems of folds meet about Barquisimeto, where the structure becomes very complex and is not thoroughly understood.
The human organism is far too complex to enable us to understand the true significance of diseased processes.
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.
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.
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.
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.
The canes from which the patterns are formed are either simple or complex.
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.
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.
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.
Internal to the suckers are the four complex hooked proboscides.
The generative organs are of the complex hermaphroditic type described in Trematoda (q.v.).
The compounds of ammonia thus formed from the complex substances by many varied kinds of micro-organisms are ultimately oxidized into nitrates.
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.
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.
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.
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.
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.
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.
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.
The titanates are very similar to the silicates in their tendency to assume complex forms, e.g.
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.
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.
If a complex mixture be operated upon, and a separation effected by collecting the distillates in several portions, the operation is termed "fractional distillation."
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."
The theory of fractional distillation, or the behaviour of liquid mixtures when heated to their boiling-points, is more complex.
The distillation of completely miscible mixtures is the most common practically and the most complex theoretically.
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.
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.
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.
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.
For further details of his mathematical investigations see the articles Theory of groups, and Functions Of Complex Variables.
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.
The more particular and complex phenomena depend upon the simpler and more general.
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.
The higher (at least in times of" evolution ") is the more complex and differentiated, whether it invariably survives or not.
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.
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.
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.
In this case the white tin-rich portions are themselves a complex that can be resolved into two substances by a higher magnification.
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.
If we examine alloys on the tin side we shall find large crystals of tin embedded in the same complex.
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.
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.
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.
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.
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.
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.
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.
The native metal crystallizes in the cubic system, the octahedron being the commonest form, but other and complex combinations have been observed.
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.
The inner zone is not continuous, and is"much more complex in structure.
This great complex was apparently supplied with water from Hadrian's aqueduct from Lake Stymphalus.
The characters thus composed, though so simple as to their basal unit, are appallingly complex in their elaboration.
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.
It combines directly with sulphur trioxide to form a complex of composition TeC1 4.2SO 3.
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.
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.
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.
Stomach, although complex, differing essentially from that of the Pecora.
The stomach is simple or somewhat complex, and the placenta diffused.
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.
The stomach is complex; but there is no caecum.
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.
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.
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.
To sketch even in outline " The Evolution of Congregationalism " in correspondence with so complex an environment is here impossible.
The period of Algol, as measured by its eclipses, is subject to complex irregularities.
The above analysis is rough, since even distantly placed sections, indeed the two parts themselves, are interrelated by delicate complex references on and back.
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.
Cod-liver oil contains palmitin, stearin and other more complex glycerides; the "stearine" mentioned above, however, contains very little palmitin and stearin.
Several complex polysulphides of ammonium have been isolated, for details of which see Bloxam's paper quoted above.
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.
A sacrificial priesthood will arise as the worship becomes more complex.
Private sacrifices, too, could hardly be offered without some priestly aid now that ritual was more complex; the provision of Deut.
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.
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.
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.
In Leydigia he has recently found a structure almost as complex as that of the Daphniidae.
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.
In group 4 the situation is more complex; Clement used a text which has most in common with.
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.
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.
A connexion with the circular functions, however, appears later when the definition of log x is extended to complex values of x.
The definitions of the logarithmic and exponential functions may be extended to complex values of x.
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.
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.
These consist of combinations of faces, circles, lines, &c., arranged in compartments in so complex a manner that hardly two are found alike.
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.
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.
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.
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.
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.
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.
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.
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.
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.
A chemical classification of alkaloids is difficult on account of their complex constitution.
The river systems are therefore in many cases complex and tortuous, and very often the successive connecting links between the lakes receive different names.
Papineau, By Dealing With More Complex Questions, Taking A Higher Point Of View, And Expressing Himself With A Much Apter Flexibility Of Style.
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.
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.
This brief summary of the leading features of the Arthurian tradition will indicate with what confused and complex material we are here dealing.
Several other complex chrom-sulphuric acids are known, e.g.
Chromium salts readily combine with ammonia to form complex salts in which the ammonia molecule is in direct combination with the chromium atom.
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]
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.
The stomach is generally complex.
In Abrocoma the tail has no tuft, the ears are still larger and the lower cheek-teeth more complex than the upper ones.
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.
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.
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.
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.
The Platyelmia are hermaphrodite and the reproductive organs are complex.
The female organs are no less complex.
By Rabbinical law the ceremony was later made more complex.
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!
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.
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.
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.
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.
The articulation between the tibia and astragalus is more complex than in other mammals, the end of the malleolus entering into it.
To them the Eastern problem presented a less complex aspect.
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.
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.
When the two components form chemical compounds with each other, the phenomena of mutual solubility become more complex.
When the equilibria become more complex difficulties of interpretation of the experimental results often arise.
Each molecular complex, formed by solution and solvent, is treated as a single molecule.
They are remarkable for the possession of complex ears (described in the article Hexapoda) anti From Carpenter's Insects.
Near the palaestra on the south a - Byzantine church forms the central point in a complex group of remains.
The stomach is much more complex than in the true pigs, almost approaching that of a ruminant.
Others are more complex, numerous species being involved.
The chemistry of lichens is very complex, not yet fully investigated and can only be very briefly dealt with here.
Souls passed at once to heaven or to hell; a doctrine even less adequate to the complex quality of human life.
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.
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.
In the more complex tissue-bodies of higher fungi, however, we find considerable differences in the various layers or strands of hyphae.
Among the enzymes already extracted from fungi are invertases (yeasts, moulds, &c.), which split cane-sugar and other complex sugars with hydrolysis into simpler sugars such as dextrose and levulose; diastases, which convert starches into sugars (Aspergillus, &c.); cytases, which dissolve cellulose similarly (Botrytis, &c.); peptases, using the term as a general one for all enzymes which convert proteids into peptones and other bodies (Penicillium, &c.); lipases, which break up fatty oils (Empusa, Phycomyces, &c.); oxydases, which bring about the oxidations and changes of colour observed in Boletus, and zymase, extracted by Buchner from yeast, which brings about the conversion of sugar into alcohol and carbondioxide.
Compound sporophores arise when any of the branched or unbranched types of spore-bearing hyphae described above ascend into the air in consort, and are more or less crowded into definite layers, cushions, columns or other complex masses.
The same laws apply to the individual hyphae and their branches as to simple sporophores, and as long as the conidia, sporangia, gametes, &c., are borne on their external surfaces, it is quite consistent to speak of these as compound sporophores, &c., in the sense described, however complex they may become.
Here we have the cushion-like type (stroma) of Nectria and many Pyrenomycetes, the clavate "receptacle" of Clavaria, &c., passing into the complex forms met with in Sparassis, Xylaria, Polyporei, and Agaricini, &c. In these cases the compound sporophore is often termed the hymenophore, and its various parts demand special names (pileus, stipes, gills, po--es, &c.) to denote peculiarities of distribution of the hymenium owlthe surface.
Life-history in some cases very complex and with well-marked sexual process and alternation of generations, in others much reduced; basidium (promycelium) derived usually from a thick-walled spore (teleutospore).
The most complex members of the Gasteromycetes belong to the Phalloideae, which is sometimes placed as a distinct division of the Autobasidiomycetes.
It is of the familiar type of the replacing of the simple but wasteful by the complex and economical, and it was begun unintentionally in the attempt to save fuel and labour, by increasing the size and especially the height of the forge, and by driving the bellows by means of water-power.
The advantage of the " reversing " system is that it avoids lifting the piece from below to above the middle roll, and again lowering it, which is rather difficult because the white-hot piece cannot be guided directly by hand, but must be moved by means of hooks, tongs, or even complex mechanism.
The only combination which, even in appearance, could be explained satisfactorily by its means was the formation of a complex idea out of simpler parts, but the idea of a relation among facts is not accurately described as a complex idea; and, as such relations have na basis in impressions, Hume is finally driven to a confession of the absolute impossibility of explaining them.
To sum up, it may be said that Hume enunciated the principle that " everything in the world is purchased by labour, and our passions are the only causes of labour "; and further, that, in analysing the complex phenomena of commerce, he is superior sometimes to Adam Smith in that he never forgets that the ultimate causes of economic change are the " customs and manners " of the people, and that the solution of problems is to be sought in the elementary factors of industry.
Whereas carbon renders isomerism possible in organic compounds, cobalt and platinum are the determining elements in inorganic chemistry, the phenomena being exhibited especially by complex ammoniacal derivatives.
The investigation also showed that the nature of the acid used affected the result, for in an homologous series of acids it was found that as the molecule of the acid became more complex, the rate of esterification became less.
Crystals of blende are of very common occurrence, but owing to twinning and distortion and curvature of the faces, they are often rather complex and difficult to decipher.
Histriodrilus resembles Saccocirrus in the possession of two posterior adhesive processes, and to some extent in the structure of the complex genital organs, which, however, are restricted to a single segment.
He carried out the principle of association into the analysis of the complex emotional states, as the affections, the aesthetic emotions and the moral sentiment, all which he endeavoured to resolve into pleasurable and painful sensations.
The three entrances to the old and new harbours are sheltered by long and massive moles; and the whole complex of docks, building slips, machine shops, &c., forms the government dockyard, which is enclosed by a lofty wall with fourteen iron gates.
The antrustions were a military institution; vassalage was a social institution, the origins of which are very complex.
The causes of the war thus understood are complex.
The history of the next three years is therefore one of complex inter-state intrigues combined with internal political convulsions.
The motion is first magnified by the lever, and, on its communication to a complex lever system above the stationary mass, is still further magnified before registration, which is effected by a pen supplied with ink writing on white paper.
The complex original work and various alterations of it need thorough study, but it is now closed and research is forbidden.
The complex fat of the myelin becomes altered chemically, while the other components of the sheath break down.
The seeming want of reaction of so much of the cerebellar structure under artificial stimulation, and the complex relay system revealed in the histology of the cerebellum, suggest that the impressions are elaborate.
Could we assume that there is in the adult man reflex machinery which is of higher order than the merely spinal, which employs much more complex motor mechanisms than they, and is connected with a much wider range of sense organs; and could we assume that this reflex machinery, although usually associated in its action with memorial and volitional processes, may in certain circumstances be sundered from these latter and unattendant on them - may in fact continue in work when the higher processes are at a standstill - then we might imagine a condition resembling that of the somnambulistic and cataleptic states of hypnotism.
Two theories of a physiological nature have been proposed to account for the separation of the complex reactions of these conditions of hypnotism from volition and from memory.
The motor nerves of the arteries, of the bladder and rectal sphincters, and also of the bronchi, are paralysed by atropine, but the nervous arrangements of those organs are highly complex and until they are further unravelled by physiologists, pharmacology will be unable to give much information which might be of great value in the employment of atropine.
Justinian's ecclesiastical policy was so complex and varying that it is impossible within the limits of this article to do more than indicate its bare outlines.
His complex nature was, in truth, the outcome of the complex character of his early environment and education.
The study of law (filth), which rests on Koran and tradition, is more difficult and complex, and begins, but is often not completed, in the third year.
The antheridia are spherical orange-coloured bodies of very complex structure.
Pecora, or true ruminants as they may be conveniently called, have complex stomachs and chew the cud; they have no upper incisor teeth; and the lower canines are approximated to the outer incisors in such a manner that the three incisors and the one canine of the two sides collectively form a continuous semicircle of four pairs of nearly similar teeth.
Another general, although not universal, characteristic of the Pecora is the presence of simple or complex appendages on the forehead commonly known as horns.
In the equally large Bramatherium and Hydaspitherium of India the horns of the males were complex, those of the former including an occipital pair, while those of the latter arise from a common base.
As regards their distinctive features, the antlers are of a complex type and situated close to the occipital ridge of the skull, and thus far away from the sockets of the eyes, with the brow-tines in adult males palmated, laterally compressed, deflected towards the middle of the face, and often unsymmetrically developed.
With Anglo-Norman aid he repelled a Celtic rising - the right of the claimants to represent the blood of Lulach is exquisitely complex and obscure in this case - but in the end David annexed to the crown the great old sub-kingdom or province of Moray, and made grants therein to English, Norman and Scottish followers.
Meanwhile complex intrigues occurred, and were betrayed, between " the Club " (the advanced constitutionalists) and the Jacobites.
The struggle would be most acute between individuals and varieties of the same species, with the result that "any being, if it vary however slightly, in any manner profitable to itself, under the complex and somewhat varying conditions of life, will have a better chance of surviving, and thus be naturally selected."
The series into which we can arrange the results of observing phenomena of complex causation, whether exhibited by living organisms or not, have certain properties in common, which are dealt with by the theory of chance.
The conceptions indicated by Galton have been extended and added to by Karl Pearson, who has also developed the theory of chance so as to provide a means of describing many series of complex results in a simpler and more accurate way than was hitherto possible.
The simplest of such repeated elements are the cells of the tissues, more complex are cell-aggregates, from hairs, scales, teeth and the like, up to limbs or metameres in animals, or the .00 '00 leaves and their homologues in plants.
The rocks are largely volcanic, the stratification being complex.
Villiger (Be y ., 1901, 34, pp. 2679, 3612) showed that many organic compounds (ethers, alcohols, aldehydes, ketones, &c.) behave towards acids, particularly the more complex acids, very much like bases and yield crystallized salts in which quadrivalent oxygen must be assumed as the basic element.
The organization and conduct of examinations, in such a way that each candidate shall be treated in precisely the same way as every other candidate, is a complex matter, especially where several thousand candidates are concerned.
But examinations consist as a rule of a number of tests, each one of which is complex; and a mark is recorded in respect of each test or portion of a test in order to enable the examining body to estimate the performance, considered as a whole, of the candidate.
The third, gathering together the more revolutionary impulses, expanded into that complex movement called Anabaptism - which spread over western Europe from England to Poland and from Scandinavia to northern Italy, and endured a long and sanguinary persecution at the hands of the civil authorities in most European countries.
The mountains are intersected by a complex system of valleys, of which some thirty run down to the Mediterranean.
The nest may be simple, or, more frequently, a complex excavation, cells opening off from the entrance or from a main passage.
The difficulty is that the automatic motion of a single mirror capable of reflecting the rays of any star continuously along the axis of a fixed horizontal telescope, requires a rather complex mechanism owing to the variation of the angle of reflexion with the diurnal motion.
Negotiations of a highly complex character ensued with the Italian government, which ultimately in 1908 decided that the work should be undertaken by Italian scholars with Italian funds.
The Caraballos Occidentales range is very complex; the central ridge is in some parts a rolling plateau, but it rises in Mt Data to 7364 ft., and numerous lofty spurs project from it.
The Philippines appear to be the remnants of a somewhat complex system of mountain arcs, which from their similarity of form and direction seem to be in some way connected with the mountain ranges of Annam.
The Eastern Question thus developed, in the latter years of the 19th century, from that of the problems raised by the impending break-up of a moribund empire, into the even more complex question of how to deal with an empire which showed vigorous evidence of life, but of a type of life which, though on all sides in close touch with modern European civilization, was incapable of being brought into harmony with it.
It occurs in the uncombined condition and alloyed with iron in meteorites; as sulphide in millerite and nickel blende, as arsenide in niccolite and cloanthite, and frequently in combination with arsenic and antimony in the form of complex sulphides.
The legal theory as to these conditions was somewhat complex, because it had to take account of certain practical considerations and of a rather abrupt transition from a previous state of things based on different premises.
Afterwards come judgments of complex sense, e.g.
Afterwards follow judgments arising from more complex causes, e.g.
But why spoil the further mental analysis of inference by supposing that conceptions are constituents of judgment and therefore of inference, which thus becomes merely a complex combination of conceptions, an extension of ideas?
In the mathematics we determine complex problems by a construction link by link from axioms and simple data clearly and distinctly conceived.
Lastly we have deduction the determination of the most complex phenomena by a continuous synthesis or combination of the simple elements.
Complex truths of reason or essence raise the problem of definition, which consists in their analysis into simpler truths and ultimately into simple - i.e.
In the modern theory of complex numbers this is expressed by saying that the Norm of a product is equal to the product of the norms of the factors.
It is most useful, perhaps, to survey some of the general features of belief as an introduction to the more complex inquiries which involve a consideration of other subjects over a larger field.
In the intellectual domain the situation is more complex.
Before the French Revolution the German empire was a complex confederation, with the states divided into electoral colleges, consisting-00 of the ecclesiastical electors and of the secular electors, including the king of Bohemia; (2) of the spiritual and temporal princes of the empire next in rank to the electors; and (3) of the free imperial cities.
The like must be said even of the contribution to the problem made by August Pott,' though he has helped to define one condition of success - the classification of the strata in " Western " texts - and has taken some steps in the right direction, in connexion with the complex phenomena of one witness, the Harklean Syriac.
The Tolmino sector was chosen for the main enemy attack, and here, owing to a complex of circumstances, the Austro-German forces won a success that led to a great Italian disaster.
Into the complex history of this momentous age it is impossible to go in any detail.
The triply infinite system of null-lines form what is called in linegeometry a complex.