Whereas during the 19th century states were being cut out to suit the existing distribution of language, in the 20th the tendency seems to be to avoid further rearrangement of boundaries, and to complete the homogeneity, thus far attained, by the artificial method of forcing reluctant populations to adopt the language of the predominant or governing race.
The qualification that the circular function must apply to all time is important, and unless it is recognized as a necessary condition of homogeneity, confusion in the more intricate problems or radiation becomes inevitable.
A limit to homogeneity of radiation is ultimately set by the so-called Doppler effect, which is the change of wave-length due to the translatory motion of the vibrating molecule from or towards the observer.
The homogeneity of vibration may also be diminished by molecular impacts, but the number of shocks in a given time depends on pressure and we may therefore expect to diminish the width of a line by diminishing the pressure.
When the lines are obtained under circumstances which tend towards sharpness and homogeneity they are often found to possess complicated structures, single lines breaking up into two or more components of varying intensities.
This fundamental homogeneity of primitive culture, however, must not be made the excuse for a treatment at the hands of psychology and sociology that dispenses with the study of details and trusts to an a priori method.
With Descartes the use of exponents as now employed for denoting the powers of a quantity becomes systematic; and without some such step by which the homogeneity of successive powers is at once recognized, the binomial theorem could scarcely have been detected.
The belief was taught in the homogeneity of all living things, in the doctrine of original sin, in the transmigration of souls, in the view that the soul is entombed in the body (v13µa ojia), and that it may gradually attain perfection during connexion with a series of bodies.
The history of this, the " Amarna " age, reveals a state of anarchy in Palestine for which the weakness of Egypt and the downward pressure of north Syrian 1 On the homogeneity of the population, see further, W.
In the old Prussian provinces alone there were fifty-three different customs frontiers, and German manufactures could not develop until the growth of the Zollverein brought with it commercial consolidation, internal freedom and greater homogeneity of economic conditions.
It would be necessary to enter; but the trenchant way in which he showed that the " Passereaux "-a group of which Cuvier had said, " Son caractere semble d'abord purement negatif," and had then failed to define the limitsdiffered so completely from every other assemblage, while maintaining among its own innumerable members an almost perfect essential homogeneity, is very striking, and shows how admirably he could grasp his subject.
Moreover, as complete reform had always been steadily resisted, homogeneity was entirely wanting.
When the glass has acquired this degree of consistency it is supposed that no fresh movements can occur within its mass, so that if homogeneity has been attained the glass will preserve it permanently.
It is not to be supposed, however, that these traces of different elements indicate any lack of homogeneity in the Japanese race.
Social and Political Effects of Immigration.-The influx of millions of persons of different nationality, often of a foreign language and generally of the lower classes, would seem to be a danger to the homogeneity of a community.
While these writings were generally intelligible, and therefore of the greatest didactic importance, the principle of homogeneity, first enunciated by Vieta, was so far in advance of his times that most readers seem to have passed it over without adverting to its value.
Bessel attributed this to non-homogeneity in the object-glass, and determined with great care the necessary corrections.
This construction would give all the advantage of the younger Dollond's object-glass micrometer, and more than its sharpness of definition, without liability to the systematic errors which may be due to want of homogeneity of the object-glass; for the lenses will not be turned with respect to each other, but, in measurement, will always have the same relation in position angle to the line joining the objects under observation.
The atomic theory is a theory of the constitution of bodies which asserts that they are made up of atoms. The opposite theory is that of the homogeneity and continuity of bodies, and asserts, at least in the case of bodies having no apparent organization, such, for instance, as water, that as we can divide a drop of water into two parts which are each of them drops of water, so we have reason to believe that these smaller drops can be divided again, and the theory goes on to assert that there is nothing in the nature of things to hinder this process of division from being repeated over and over again, times without end.
Whether this heterogeneity of structure is or is not consistent with homogeneity and continuity of substance is another question.
The homogeneity of wide circles, the sense of responsibility engendered by it, and continuity with the past are almost entirely lacking in it.
Thus while in the one case homogeneity of language within state boundaries seems to be one of the conditions making for peace, the avoidance of interference with a well-marked homogeneous area like Finland would seem to contribute equally to the same end.
In interpreting the phenomena observed in a spectroscope, it is necessary to remember that the instrument, as pointed out by Lord Rayleigh, is itself a producer of homogeneity within the limits defined by its resolving power.
Let us now consider the causes which may affect the homogeneity of radiation.
A second law for these mutual transformations is that when they take place without loss of homogeneity, for example, in the liquid state, the definite transition point disappears and the change is gradual.
The want of homogeneity of the force, and the unaccustomed tactics imposed upon the cavalry, somewhat hampered the defence, and the square was broken at the left rear corner.
The reflecting telescope became the only available tool of the astronomer when great light grasp was requisite, as the difficulty of procuring disks of glass (especially of flint glass) of suitable purity and homogeneity limited the dimensions of the achromatic telescope.
All the large disks were crossed by striae, or were otherwise deficient in the necessary homogeneity and purity.
For the sake of homogeneity the articles on these persons or places are also given under these forms, but in such cases, the exact forms, according to the system of transliteration adopted, are there given in addition.
This principle is that of the universal homogeneity of nature; all things are at bottom the same, or interaction would be impossible (7rhvra Ta g ovra lore TOU a, rov ETEpo1006Bal etym.
He shows how morality can be viewed physically, as evolving from an indefinite incoherent homogeneity to a definite, coherent heterogeneity; biologically, as evolving from a less to a more complete performance of vital functions, so that the perfectly moral man is one whose life is physiologically perfect and therefore perfectly pleasant; psychologically, as evolving from a.
And the consequence of this atomism is not what a careless thinker might be led to assume, extreme diversity, but, on the contrary, extreme homogeneity of culture.
Furthermore, since community of action presupposes homogeneity, it follows that the world and all its parts have a spiritual nature.
And thereupon, worn out by two days' hill fighting and lacking in internal homogeneity, Mahmud Mukhtar's Corps broke up, abandoning Kirk Kilisse and its fortifications, and streamed away in panic. The Bulgarians entered Kirk Kilisse on the 24th and possessed themselves of immense booty, including 55 guns.
Their party had therefore no more homogeneity than had their policy.
This illustrates the extraordinary homogeneity of climatic conditions.
Apart, however, from the cost of the mineral and its very difficult working, a source of error lies in its want of homogeneity, which often causes a doublh or even a triple image.
These systems may only be semi-stable, but they must last a sufficient length of time to give a train of waves having a length corresponding to the observed homogeneity of the line.