Report of the Meeting of the British Association for the Advancement of Science Volume 3

Report of the Meeting of the British Association for the Advancement of Science Volume 3

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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1834 edition. Excerpt: ...of zero as a factor of the (m + l)th and following terms in 0 the first case, and the reduction of every term to the form--in the second, would form the proper indications of a change in the constitution of the equivalent function corresponding to these values of m and a, of which many examples will be given in the text. native signs as distinguished from those primitive signs of operation which are used in arithmetical algebra; but such signs, though accurately defined and limited in their use in one science, will cease to be so in the other, their meaning being dependent in symbolical algebra, in common with all other signs which are used in it, upon the symbolical conditions which they are required to satisfy. I will consider, in the first place, signs of affection, which are those symbolical quantities which do not affect the magnitudes, though they do affect the specific nature, of the quantities into which they are incorporated. Of this kind are the signs + and--, when used independently; or their equivalents + 1 and--1, when considered as symbolical factors; the signs (+ 1)" and (--1)," or their symbolical equivalents cos 2rnit + /--sin 2rnit and cos (2 r + 1) n it + V--1 sin (2 r + 1) nit; ZrnrVl j (2 r + 1) n rV--1 or e and ev The affections symbolized by the signs + 1 and--1 admit of very general interpretation consistently with the symbolical conditions which they are required to satisfy, and particularly so in geometry: and it has been usual, in consequence of the great facility of such interpretations, to consider all quantities affected by them (which are not abstract) as possible, that is, as quantities possessing in all cases relations of existence which are expressible by those signs. It should be kept in mind, however, ...show more

Product details

  • Paperback | 210 pages
  • 189 x 246 x 11mm | 386g
  • Rarebooksclub.com
  • Miami Fl, United States
  • English
  • black & white illustrations
  • 1236518845
  • 9781236518842