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Volume 19 - December 1978

Contents

Page 3 of 4

Research Article

  • Two inequalities for convex sets in the plane

  • P.R. Scott
  • Published online by Cambridge University Press:
    17 April 2009, pp. 131-133
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  • Let K be a bounded, closed, convex set in the euclidean plane having diameter d, width w, inradius r, and circumradius R. We show that

    and

    where both these inequalities are best possible.

Abstracts of Australasian PhD theses

  • Theory and application of ray transmission coefficients in multimode optical fibres

  • Clive Winkler
  • Published online by Cambridge University Press:
    17 April 2009, pp. 301-302
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  • On the optimal control of delay differential systems

  • Sahala M. Nababan
  • Published online by Cambridge University Press:
    17 April 2009, pp. 135-137
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Research Article

  • Can a Fibonacci group be a unique products group?

  • Colin D. Fox
  • Published online by Cambridge University Press:
    17 April 2009, pp. 475-477
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  • We show that a certain class of Fibonacci groups can not be right ordered. A question remaining is: Are the torsion-free members of this class unique products groups?

Abstracts of Australasian PhD theses

  • Canonical transformation of polynomial hamiltonians

  • Peter Gavin Lawrence Leach
  • Published online by Cambridge University Press:
    17 April 2009, pp. 303-306
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Abstract of Australasian PhD thesis

  • A functional equation involving vector mean values

  • N.K. Bedingfield
  • Published online by Cambridge University Press:
    17 April 2009, pp. 479-480
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Abstracts of Australasian PhD theses

  • Stably layered fluids

  • A.K. Laing
  • Published online by Cambridge University Press:
    17 April 2009, p. 138
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  • A computational study of several problems in stochastic modelling

  • David C.C. Bover
  • Published online by Cambridge University Press:
    17 April 2009, pp. 307-308
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  • Construction of block designs and related results

  • Elizabeth Jane Morgan
  • Published online by Cambridge University Press:
    17 April 2009, pp. 139-140
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Front matter

  • BAZ volume 19 issue 3 Cover and Front matter

  • Published online by Cambridge University Press:
    17 April 2009, pp. f1-f6
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Addendum

  • Action of a force near the planar surface between semi-infinite immiscible liquids at very low Reynolds numbers: Addendum

  • K. Aderogba, J.R. Blake
  • Published online by Cambridge University Press:
    17 April 2009, pp. 309-318
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  • In the paper by Aderogba and Blake [1], the first order approximation to the shape of the interface between two immiscible liquids, at which surface tension acted, was obtained in the case of a point force directed parallel to the interface. In the case of the normal force no solution was obtained due to the logarithmic singularity associated with problems of this type. However, the problem is not physically well-posed in the case of the normal force. Surface tension is not suitable because it cannot alone balance the induced stress on the interface due to a point force. We need an additional force to balance the action of the point force on the interface. The obvious solution is to include a density difference Δρ* between the two fluids

    where and are the densities of the lower and upper fluid respectively.

Abstracts of Australasian PhD theses

  • One- and two-locus inbreeding for recurrent selection and overlapping generations selection schemes

  • Sam Choy
  • Published online by Cambridge University Press:
    17 April 2009, pp. 141-142
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Corrigendum

  • Note on asymptotic equivalence for measure differential equations Corrigendum

  • V. Sree Hari Rao
  • Published online by Cambridge University Press:
    17 April 2009, p. 319
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  • The last 3 references in the author's note [1] should read as follows:

    [4] V. Sree Hari Rao, “On boundedness of impulsively perturbed systems”, Bull. Austral. Math. Soc. 18 (1978), 237–242.

    [5] V. Sree Hari Rao, “Asymptotically self invariant sets and stability of measure differential equations“, Nonlinear Anal., Theory, Methods Appl. 2 (1978), 483–489.

    [6] V. Sree Hari Rao, ”Note on conditionally asymptotically invariant sets“, J. Mathematical and Physical Sci. 12 (1978), 469–471.

Back matter

  • BAZ volume 19 issue 3 Cover and Back matter

  • Published online by Cambridge University Press:
    17 April 2009, pp. b1-b2
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Abstracts of Australasian PhD theses

  • The analysis of transient signals and stationary noise

  • M.A. Cameron
  • Published online by Cambridge University Press:
    17 April 2009, pp. 143-144
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Front matter

  • BAZ volume 19 issue 2 Cover and Front matter

  • Published online by Cambridge University Press:
    17 April 2009, pp. f1-f2
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Back matter

  • BAZ volume 19 issue 2 Cover and Back matter

  • Published online by Cambridge University Press:
    17 April 2009, pp. b1-b2
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Abstracts of Australasian PhD theses

  • Stereology - a statistical viewpoint

  • Pamela Joy Davy
  • Published online by Cambridge University Press:
    17 April 2009, pp. 145-146
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  • Some new function spaces and their tensor products

  • Mario M. Milman
  • Published online by Cambridge University Press:
    17 April 2009, pp. 147-149
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  • Sequential algorithms in nonlinear programming

  • Krisorn Jittorntrum
  • Published online by Cambridge University Press:
    17 April 2009, pp. 151-153
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Page 3 of 4