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Bulletin of the American Mathematical Society Volume 21

Bulletin of the American Mathematical Society Volume 21


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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. 1915 Excerpt: ...role played by the combinants of two binary forms in the theory of rational plane curves is dependent upon the fact that if they are expressed in combinant form (i. e., in terms of the two-rowed determinants of the matrix of coefficients of the two binary forms) an easy translation scheme makes it possible to transform these combinants into the equations of covariant curves of rational plane curves. The purpose of Professor Rowe's paper is to derive a series of combinants of two binary n-ics which are not only in combinant form, but which may be expressed as determinants of comparatively low order whose constituents are functions of the two-rowed determinants of the matrix of coefficients of the two binary forms; also, it is shown how these may be represented symbolically in such a way that the actual expression for a combinant of any two particular n-ics may be written out with facility. Possibly the simplest combinant of this type is the one whose vanishing is the necessary and sufficient condition that two binary n-ics have polar cubics with two common factors. 6. In the study of cyclic surfaces much attention has been given in the past to certain very special kinds, for instance to anallagmatic surfaces, including cyclides. In the theory of the general cyclic surface, very little progress has been made, and the few results obtained have been confined almost exclusively to metrical and conformal properties. The more fundamental descriptive properties, which are invariant under the 24-parameter group of sphere transformations, have hardly been touched. They form the subject of the present paper by Professor Ranum, which is based on two earlier papers on the projective differential geometry of n-space, one published in the Annali in 1912 and the other soon...


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Product Details
  • ISBN-13: 9781130877588
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 182
  • Spine Width: 10 mm
  • Width: 189 mm
  • ISBN-10: 1130877582
  • Publisher Date: 01 Mar 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 336 gr

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