I have endeavoured, in the following treatise, to convey as complete an account of the present state of knowledge on the subject of Differential Equations, as was consistent with the idea of a work intended, primarily, for elementary instruction. It was my object, first of all, to meet the wants of those who had no previous acquaintance with the subject, but I also desired not quite to disappoint others who might seek for more v advanced information. These distinct, but not inconsistent - aims determined the plan of composition.
George BooleRelated topics
account composition differential elementary following idea knowledge might meet plan present quite seek state treatise work othersRelated quotes
It seems that the first consideration of a painter who stands before the white canvas should be to decide what curves and arabesques should cut the surface, what tints and tones should cover it... Following the precepts of Delacroix he would not begin a composition until he had first determined its organization. Guided by tradition and by science, he would adjust the composition to his conception, that is to say he would adapt the lines (directions and angles), the chiaroscuro (tones), the colors (tints), to the traits he wished to make dominant.
Paul Signac
Thee might observe incidentally that if the state paid for child-bearing it might and ought to require a medical certificate that the parents were such as to give a reasonable result of a healthy child – this would afford a very good inducement to some sort of care for the race, and gradually as public opinion became educated by the law, it might react on the law and make that more stringent, until one got to some state of things in which there would be a little genuine care for the race, instead of the present haphazard higgledy-piggledy ways.
Bertrand Russell
Pictures are the idea in visual or pictorial form; and the idea has to be legible, both in the individual picture and in the collective context - which presupposes, of course, that words are used to convey information about the idea and the context. However, none of this means that pictures function as illustrations of an idea: ultimately, they are the idea. Nor is the verbal formulation of the idea a translation of the visual: it simply bears a certain resemblance to the meaning of the idea. It is an interpretation, literally a reflection.
Gerhard Richter
It appears to me that the subject of music, from Machaut to Boulez, has always been its construction. Melodies of 12-tone rows just don't happen. They must be constructed.... To demonstrate any formal idea in music, whether structure or stricture, is a matter of construction, in which the methodology is the controlling metaphor of the composition...Only by 'unfixing' the elements traditionally used to construct a piece of music could the sounds exist in themselves--not as symbols, or memories which were memories of other music to begin with.
Morton Feldman
The need for sociability induce man to be in touch with his fellow men. However, this need might not ("ne saurait", Fr.) find its full (or complete) satisfaction in the conventional (or superficial, - "conventionnel", Fr.) and deceitful world, in which (or where) everyone is mainly (or mostly) trying to assert oneself in front of others ("devant les autres", Fr.), to appear, and hoping to find in society ("mondaine", Fr.) relationships some advantages for his interest and vanity (or vainglory or conceit", Fr).
African Spir