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Volume 1 - Issue 13 - February 1898

Contents

Other

Research Article

  • A Class of Algebraic Functions

  • H. W. Lloyd Tanner
  • Published online by Cambridge University Press:
    03 November 2016, pp. 152-155

  • The functions in question are those which involve only the differences of their arguments ; and the object of this note is to suggest that an elementary discussion of these functions would be a valuable addition to the usual school course in algebra.

    In his memoir on the Schwarzian derivative, Cayley gives the name ‘diaphoric’ to these functions (Art. 13). Invariants, seminvariants, covariants of quantics are diaphoric functions of the roots. Norms of complex numbers and ‘circulants’ are diaphoric functions, a particular case of which already appears in books on algebra under the properties of cube roots of unity.

Other

Mathematical Notes

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Reviews and Notices

Meeting Report

Books Received

Front Matter

Back Matter