The alteration that takes place in the regular diurnal inequality throughout the year is best seen by analysing it into a Fourier series of the type c 1 sin (t+ a l) +c2 sin (2t+ a 2)+c 3 sin (3t+a3)+c4 sin (4t+a 4)+..
The psychologist must study mankind from the historical or comparative standpoint, analysing the elements which constitute the fabric of society, with its customs, its conventions and the main tendencies of its evolution.
The mean value 112.467 was obtained by Baxter, Hines and Frevert (ibid., 1906, 28, p. 770) by analysing cadmium bromide.
Applying this principle to the art of poetry, and analysing, line by line and even word by word, the works of great poets, he deduced the law that the beauty of poetry consists in the accuracy, beauty and harmony of individual expression.
This complex view of life is exemplified by Plato, whose general theory of idealism is entirely optimistic. In analysing the world of phenomena he necessarily takes a pessimistic view because phenomena are merely imitations more or less removed from reality, i.e.
Nitrate of soda, Peruvian guano and superphosphate of lime in the form of bones dissolved by sulphuric acid were now added to the list of manures, and the practice of analysing soils became more general.
Incidentally there have been extensive sampling and analysing of soils, investigations into rainfall and the composition of drainage waters, inquiries into the amount of water transpired by plants, and experiments on the assimilation of free nitrogen.
This being the case, it would seem useless to take up further space by analysing the several proposed modifications of Cuvier's arrangement.
Theoretical speculations were revived by Lavoisier, who, having explained the nature of combustion and determined methods for analysing compounds, concluded that vegetable substances ordinarily contained carbon, hydrogen and oxygen, while animal substances generally contained, in addition to these elements, nitrogen, and sometimes phosphorus and sulphur.
Soc., 1908, 30, p. 187) by analysing the chloride, is 270.190 (0= 16).
Example 3.-Analysing in this way the rotation of a rectangle filled with liquid into the two components of shear, the stream function 1//1 is to be made to satisfy the conditions v 2 /1 =0, 111+IRx 2 = IRa 2, or /11 =o when x= = a, +b1+IRx 2 = I Ra2, y ' 1 = IR(a 2 -x 2), when y = b Expanded in a Fourier series, 2 232 2 cos(2n+ I)Z?rx/a a -x 7r3 a Lim (2n+I) 3 ' (1) so that '?"
By analysing the bank accounts of certain members of the "ring," he obtained legal proof of the principle on which the spoils had been divided.
We progress by making explicit the oppositions contained in the fundamental synthesis, by uniting these opposites, analysing the new synthesis, and so on, until we reach an ultimate pair.
According to Aristotle, Zeno of Elea "invented" dialectic, the art of disputation by question and answer, while Plato developed it metaphysically in connexion with his doctrine of "Ideas" as the art of analysing ideas in themselves and in relation to the ultimate idea of the Good (Repub.
Hobbes (Leviathan), analysing these attributes, enumerates twelve attributes.
Berzelius, by converting silver fluoride into silver chloride, obtained the value 19.44, and by analysing calcium fluoride the value 19.16; the more recent work of H.
THE Palaeontologist As Historian The modes of change among animals, and methods of analysing them.
VII.-Modes Of Change In Animals As A Whole Or In Groups Of Animals, And Methods Of Analysing Them.
In analysing the syllogism, he first says that a premiss is an affirmative or negative sentence, and then that a term is that into which a premiss is dissolved, i.e.
Spectroscopes generally consist of three parts: (I) the collimator; (2) the analysing appliance, (3) the telescope.
The analysing appliance constitutes the main feature of a spectroscope.
He took the same course soon afterwards with four other papers, two of which - "On the quantity of acids, bases and salts in different varieties of salts" and "On a new and easy method of analysing sugar," contain his discovery, regarded by him as second in importance only to the atomic theory, that certain anhydrous salts when dissolved in water cause no increase in its volume, his inference being that the "salt enters into the pores of the water."
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.
If the satirist were merely analysing his own composition, such criticism would have little point.
- The attention of the few scholars at work on the subject being directed to the necessary first step of publishing the ancient authorities, the work of exploring them, of analysing and classifying the data they contain, has as yet been very imperfectly done.
Of writing a letter or a report on a particular subject with a particular object in view, of translating from or into a foreign language, of solving a mathematical problem, of criticizing a passage from a literary work, of writing an essay on an historical or literary subject with the aid of books in a library, of diagnosing the malady of a patient, of analysing a chemical mixture or compound; and (the highest form under the rubric) of making an original contribution to learning or science as the result of personal investigation or experiment.
The magnetic observations, though imperfect, led him to the conclusion that the magnetic effect at all attainable elevations above the earth's surface remains constant; and on analysing the samples of air he could find no difference of composition at different heights.
Nay, when, on analysing the functions and attributes of those two divine figures, each of them is found to be but a compound of several previously recognized deities, sectarian worship may well be traced right up to the Vedic age.
And, the question being put in this form, the attempt has been made in some cases to explain away any peculiarity in the emotions by analysing them into simpler elements, such as primitive organic pleasures and prolonged associations of usefulness or fitness.
This would in effect be analysing numbers into components of the form a.