The three applications of our knowledge to the outward world, to the human body, and to the conduct of life.'
Such applications at the momelit when spores are germinating on the leaves, e.g.
Those who were unwilling to accept evolution, without better grounds than such as are offered by Lamarck, and who therefore preferred to suspend their judgment on the question, found in the principle of selective breeding, pursued in all its applications with marvellous knowledge and skill by Darwin, a valid explanation of the occurrence of varieties and races; and they saw clearly that, if the explanation would apply to species, it would not only solve the problem of their evolution, but that it would account for the facts of teleology, as well as for those of morphology; and for the persistence of some forms of life unchanged through long epochs of time, while others undergo comparatively rapid metamorphosis.
The applications of anthropogeography to human uses give rise to political and commercial geography, in the elucidation of which all the earlier departments or stages have to be considered, together with historical and other purely human conditions.
The result of this harsh law was that numerous applications were made to Rome for secret absolution; and thus much money escaped the Inquisition in Spain.
4 Distrust of the natural sciences, Ed uca- even in their technical applications, and of Western ideas of free government; desire to make university don.
During the first ten years after the act came into force 545 applications for orders were received, 313 orders were made, and 282 orders were confirmed.
They pointed out that while during the first five years the act was in force there were 315 applications for orders, during the second five years there were only 142 applications, and that proposals for new lines had become less numerous owing to the various difficulties in carrying them to a successful completion and to the difficulty of raising the necessary capital even when part of it was provided with the aid of the state and of the local authorities.
A large number of applications for mining concessions have been received since the establishment of the autonomous government.
The title of his work, Principles of Political Economy, with some of their Applications to Social Philosophy, though open to criticism, indicated a less narrow and formal conception of the field of the science than had been common amongst his predecessors.
The most valuable part of the work is that devoted to physical applications, in which he embodied his essay on the tides.
The development of organic chemistry from this time until almost the end of the 18th century was almost entirely confined to such compounds as had practical applications, especially in pharmacy and dyeing.
Gay Lussac may be regarded as the founder of the method, although rough applications had been previously made by F.
PaOiµarLK1), sc. TEXvn or E7rio'7-)µ17; from AecO a, "learning" or "science"), the general term for the various applications of mathematical thought, the traditional field of which is number and quantity.
The selection of the topics of mathematical inquiry among the infinite variety open to it has been guided by the useful applications, and indeed the abstract theory has only recently been disentangled from the empirical elements connected with these applications.
Thus the current applications of mathematics to the analysis of phenomena can be justified by no a priori necessity.
The micas are bad conductors of heat and electricity, and it is on these properties that many of their technical applications depend.
Other applications depend on the strength of its resistance to acids.
An important notion in the theory of linear operators in general is that of MacMahon's multilinear operator (" Theory of a Multilinear partial Differential Operator with Applications to the Theories of Invariants and Reciprocants," Proc. Lond.
One of the neatest applications of this principle is that described by Edser and Stansfield (Phil.
Thomson (Applications of Dynamics to Physics and Chemistry, 47) that on dynamical principles there must be a reciprocal relation between the changes of dimensions produced by magnetization and the changes of magnetization attending mechanical strain.
It serves for the thatching of roofs, for a papermaking material, for ornamenting small surfaces as a "strawmosaic," for plaiting into door and table mats, mattresses, &c., and for weaving and plaiting into light baskets, artificial flowers, &c. These applications, however, are insignificant in comparison with the place occupied by straw as a raw material for the straw bonnets and hats worn by both sexes.
These applications are sometimes treated under arithmetic, sometimes under algebra; but it is more convenient to regard graphics as a separate subject, closely allied to arithmetic, algebra, mensuration and analytical geometry.
(iii.) The table might be regarded as constructed by successive applications of (9) and (4); the initial data being (r6) and (Io).
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.
A n are scalars, and in particular applications may be restricted to real or complex numerical values.
It should be observed that while the use of special units, or extraordinaries, in a linear algebra is convenient, especially in applications, it is not indispensable.
In most cases these subsidiary algebras, as they may be called, are inseparable from the applications in which they are used; but in any attempt at a natural classification of algebra (at present a hopeless task), they would have to be taken into account.
Buchheim, on Extensive Calculus and its Applications, Proc. L.
So far the development of algebra and geometry had been mutually independent, except for a few isolated applications of geometrical constructions to the solution of algebraical problems. Certain minds had long suspected the advantages which would accrue from the unrestricted application of algebra to geometry, but it was not until the advent of the philosopher Rene Descartes that the co-ordination was effected.
In the applications with which we are concerned, t, n are very small quantities; and we may take P = x yn - At the same time dS may be identified with dxdy, and in the de nominator p may be treated as constant and equal to f.
- I.n - 2 asxn.-3 The I.2 I.2.3 reader is referred to the article Algebra for the proof and applications of this theorem; here we shall only treat of the history of its discovery.
This new departure reached its climax in the Tokugawa mausolea of Yedo and NikkO, which are enriched by the possession of the most splendid applications of lacquer decoration the world has ever seen, nor is it likely that anything of comparable beauty and grandeur will be again produced in the same line.
Among other ingenious applications, he used it to determine the form of movement of a vibrating string, by him first successfully reduced to mechanical principles.
It is an energetic oxidizing agent, and on this property its most important applications depend.
The chief applications of Chile saltpetre are in the nitric acid industry, and in the manufacture of ordinary saltpetre for making gunpowder, ordinary Chile saltpetre being unsuitable by reason of its deliquescent nature, a property, however, not exhibited by the perfectly pure salt.
Its chief applications are as a manure and in the nitric acid industry.
Similarly soils with less than i% of nitrogen are likely to be benefited by applications of nitrogenous manures.
025 or 03%, respond freely to applications of phosphates; probably in such cases even the weak acid is capable of dissolving out phosphates from the humus or other compounds which yield little or none to the roots of grasses and clovers.
The chief applications are due to its use as the equivalent of Lat.
Cornish pumps are the oldest of the machines for draining mines; in fact, one of the earliest applications of the old Woolf and Newcomen engines in the 18th century was to pumps for deep mines.
Finally, calculation by statistics (William Farr, Karl Pearson, and others) has been brought into line with other scientific methods: the method is a difficult one, and one full of pitfalls for the unwary, yet when by co-operation of physician and mathematician its applications have been perfected its services will appear more and more indispensable.