The great masters of modern analysis are Lagrange, Laplace, and Gauss, who were contemporaries. It is interesting to note the marked contrast in their styles. Lagrange is perfect both in form and matter, he is careful to explain his procedure, and though his arguments are general they are easy to follow. Laplace on the other hand explains nothing, is indifferent to style, and, if satisfied that his results are correct, is content to leave them either with no proof or with a faulty one. Gauss is as exact and elegant as Lagrange, but even more difficult to follow than Laplace, for he removes every trace of the analysis by which he reached his results, and studies to give a proof which while rigorous shall be as concise and synthetical as possible.
W. W. Rouse BallRelated topics
analysis contemporaries content contrast correct easy follow form general great hand indifferent leave matter modern note nothing perfect possible procedure proof studies style trace while gauss laplace mastersRelated quotes
I am hard at work, at least I work as much as the weather permits. - I began a work the motif of which is the river bank in the direction of St. Paul's Church. Looking towards Rouen I have before me all the houses on the quays lighted by the morning sun, in the background the stone bridge, to the left the island with its houses, factories, boats, launches, to the right a mass of pinnaces of all colors.. .Yesterday, not having the sun, I began another work on the same motif in grey weather, only I looked more to the right [603]. I must leave you for my motif. I have a room on the street. I shall start on a view of the street in fog for it has been foggy every morning until eleven o'clock-noon. It should be interesting, the square in the fog, the tramways, the goings and comings..
Camille Pissarro
and here I give it under my hand that I will most willingly begin upon a new canvas [after his first portrait of Lady Dartmouth was criticized and rejected]. But I only for the present beg your Lordship will give me leave to try an experiment upon that picture to prove the amazing effect of dress. I meant to treat it as a cast-off picture and dress it (contrary, I know, to Lady Dartmouth's taste) in the modern way; the worst consequence that can attend it will be her ladyship's being angry with me for a time. I am vastly out in my notion if the face does not immediately look like; but I must know if Lady Dartmouth powders or not in common. I only beg to know that and to have the [first] picture sent down [back] to me..
Thomas Gainsborough
Mr. Wilson does not write as one who believes in a particular religion but rather as an intellectual who is being forced more and more into accepting religion as the only solution to the problem of the Outsider. In other words, the anxiety and uneasiness, the sheer horror of being oneself in the modern world is not to be cured by reason or even of study of philosophies which set out to explain them, like Existentialism; the unpleasant symptoms have to be lived through, leading to the worst, in order that the final, mystical experience may be attained. The Outsider has it within him to become a saint. Yet, though Mr. Wilson is drawn to religion, and all his arrows point that way, he never departs from his standards of intellectual analysis.
Cyril Connolly
When we approach the study of business cycle with the intention of carrying through an analysis that is truly dynamic and determinate in the above sense, we are naturally led to distinguish between two types of analyses: the micro-dynamic and the macro-dynamic types. The micro-dynamic analysis is an analysis by which we try to explain in some detail the behaviour of a certain section of the huge economic mechanism, taking for granted that certain general parameters are given. Obviously it may well be that we obtain more or less cyclical fluctuations in such sub-systems, even though the general parameters are given. The essence of this type of analysis is to show the details of the evolution of a given specific market, the behaviour of a given type of consumers, and so on.
Ragnar Frisch
There are various ways of flattering, and, of course, you must adapt your style to your subject. Some people like it laid on with a trowel, and this requires very little art. With sensible persons, however, it needs to be done very delicately, and more by suggestion than actual words. A good many like it wrapped up in the form of an insult, as-"Oh, you are a perfect fool, you are. You would give your last sixpence to the first hungry-looking beggar you met;" while others will swallow it only when administered through the medium of a third person, so that if C wishes to get at an A of this sort, he must confide to A's particular friend B that he thinks A a splendid fellow, and beg him, B, not to mention it, especially to A. Be careful that B is a reliable man, though, otherwise he won't.
Jerome K. Jerome
