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Volume 49 - October 1965

Contents

Page 4 of 17

Research Article

  • On a Problem of Schütte and Erdös

  • Esther Szekeres, G. Szekeres
  • Published online by Cambridge University Press:
    03 November 2016, pp. 290-293

  • Let Gn be a complete directed graph of order n. That is, Gn has n nodes and every pair of nodes is connected by exactly one directed edge. We say, Gn has the property Sk (after Schütte who posed the problem) if for every set of k nodes there is at least one node in Gn from which the edges go out to the given k nodes.

Letter

  • Correspondence

  • Published online by Cambridge University Press:
    03 November 2016, pp. 434-440
    • Article
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Reviews

Research Article

  • The Convolution Integral of Beam Theory

  • H. H. Spencer
  • Published online by Cambridge University Press:
    03 November 2016, pp. 294-295

  • It appears to have been customary, from the most ancient boo] on the subject to the most modern, to analyse the relationsh between distributed load function q, shearing force V, and bendii moment M, acting on a beam (Fig. 1) by considering the translation and rotational equilibrium of an element of the beam (Fig. 2).

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Mathematical Notes

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Page 4 of 17