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Volume 22 - February 1903

Contents

Page 2 of 2

Other

Research Article

  • The Turning-Values of a Cubic Function and the nature of the roots of a Cubic Equation

  • P. Pinkerton
  • Published online by Cambridge University Press:
    20 January 2009, pp. 86-89
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  • The first part of this paper depends on the theorem that if a, b, c are three positive quantities such that

    then abc is a maximum when a=b=c; with the corollary that if a, b, c are three negative quantities such that

    then abc is a minimum when a = b = c.

  • Note on Newton's Theorem of Symmetric Functions

  • Charles Tweedie
  • Published online by Cambridge University Press:
    20 January 2009, pp. 90-91
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  • The proofs usually given that Sn = αn + βn + … can be expressed in terms of the elementary symmetric functions ∑α, ∑αβ, etc., though simple, are not in general elementary. The following demonstration will, I think, be found to combine these two qualities.

Front matter

  • PEM volume 22 Cover and Front matter

  • Published online by Cambridge University Press:
    20 January 2009, pp. f1-f5
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Back matter

  • PEM volume 22 Back matter and figures

  • Published online by Cambridge University Press:
    20 January 2009, pp. b1-b17
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Page 2 of 2