# Research Publications for 1981

## Books

**A1.**
Hillman JA**:**
*Alexander Ideals of Links.*
Lecture Notes in Mathematics,
**895**
Springer Verlag,
1981.
MR0653808

**A2.**
Rylands LJ and Taylor DE**:**
*Cube Games.*
Greenhouse Publications, Melbourne; Holt, Rinehart and Winston, New York; etc,
1981.

**A3.**
Eyland RW (ed.) and others**:**
*Mathematics: Problems, Proofs and Practice.*
Mathematical Association of New South Wales, Sydney,
1981.

**A3.**
Eyland RW (ed.) and others**:**
*Higher School Certificate Mathematics.*
Mathematical Association of New South Wales, Sydney,
1981.

**A4.**
Seneta E**:**
*Non-Negative Matrices and Markov Chains.*
2nd edition,
Springer-Verlag, New York,
1981.

## Chapters in Books

**B1.**
Buchen PW and Haddon RAW**:**
Isochronal formulation of seismic diffraction,
*Identification of seismic sources - earthquake or underground explosion.*
Dordrecht,
Sweden,
1981,
373–381.

**B1.**
Seidel JJ and Taylor DE**:**
Two-graphs, a second survey,
*Algebraic Methods in Graph Theory.*
Colloq. Math. Soc. Janos Bolyai,
**25**,
1981,
689–711.
MR83f:05070

## Journal Articles

**C1.**
Cartwright DI, Howlett RB and McMullen JR**:**
Extreme values for the Sidon constant.
*Proceedings of the American Mathematical Society*,
81
(1981),
531–537.
MR82c:43005

**C1.**
Cartwright DI and McMullen JR**:**
A structural criterion for the existence of infinite Sidon sets.
*Pacific Journal of Mathematics*,
96
(1981),
301–317.
MR83c:43009

**C1.**
Choo KG, Teo KL and Wu ZS**:**
On an optimal control problem involving first order hyperbolic systems with boundary controls.
*Numerical Functional Analysis and Optimization*,
4
(1981/1982),
no.2,
171–190.
MR83k:49007

**C1.**
Cosgrove CM**:**
Bäcklund transformations in the Hauser-Ernst formalism for stationary axisymmetric spacetimes.
*Journal of Mathematical Physics*,
22
(1981),
2624–2639.
MR83m:83023

**C1.**
Dancer EN**:**
On the existence of solutions of certain asymptotically homogeneous problems.
*Mathematische Zeitschrift*,
177
(1981),
33–48.
MR82f:58029

**C1.**
Durrant CJ**:**
Hope yet for a chromospheric model?
*Space Science Review*,
29
(1981),
357–361.

**C1.**
Durrant CJ, Kneer F and Maluck G**:**
The analysis of solar limb observations II. Geometrical smearing.
*Astronomy and Astrophysics*,
104
(1981),
211–214.

**C1.**
Galloway DJ and Weiss NO**:**
Convection and magnetic fields in stars.
*Astrophysical Journal*,
243
(1981),
945–953.

**C1.**
Gibson WG**:**
Quantum corections to the second virial coefficient for potentials with a hard core.
*Journal of Chemical Physics*,
74
(1981),
237–239.

**C1.**
Gibson WG**:**
Third virial coefficient for quantum hard spheres: two-point Padé approximants for direct and exchange parts.
*Journal of Statistical Physics*,
26
(1981),
333–346.

**C1.**
Gibson WG and Thompson RS**:**
Neural model with probabilistic firing behaviour. I. General considerations.
*Mathematical Biosciences*,
56
(1981),
239–253.
MR82j:92036a

**C1.**
Gibson WG and Thompson RS**:**
Neural model with probabilistic firing behaviour. II. One- and two-neuron networks.
*Mathematical Biosciences*,
56
(1981),
255–285.
MR82j:92036b

**C1.**
Haddon RAW and Buchen PW**:**
Use of Kichhoff's formula for body wave calculations in the Earth.
*Geophysics Journal of the Royal Astronomical Society*,
67
(1981),
587–598.

**C1.**
Hillman JA**:**
A link with Alexander module free which is not an homology boundary link.
*Journal of Pure and Applied Algebra*,
20
(1981),
1–5.
MR82d:57001

**C1.**
Hillman JA**:**
Blanchfield pairings with squarefree Alexander polynomial.
*Mathematische Zeitschrift*,
176
(1981),
551–563.
MR82i:57025

**C1.**
Hillman JA**:**
The Torres conditions are insufficient.
*Mathematical Proceedings of the Cambridge Philosophical Society*,
89
(1981),
19–22.
MR82j:57003

**C1.**
Hillman JA**:**
New proofs of two theorems on periodic knots.
*Archiv der Mathematik (Basel)*,
37
(1981),
457–461.
MR83b:57003

**C1.**
Hillman JA**:**
Finite knot modules and the factorization of certain simple groups.
*Mathematische Annalen*,
257
(1981),
261–274.
MR83c:57009

**C1.**
Hillman JA**:**
Aspherical four manifolds and the centres of two-knot groups.
*Commentarii Mathematici Helvetici*,
56
(1981),
465–478.
MR83d:57017

**C1.**
Hillman JA, Bayer E and Kearton C**:**
The factorization of simple knots.
*Mathematical Proceedings of the Cambridge Philosophical Society*,
90
(1981),
495–506.
MR83e:57005

**C1.**
Hutchinson TP**:**
A review of some unusual applications of signal detection theory.
*Quality and Quantity*,
15
(1981),
71–98.

**C1.**
Hutchinson TP**:**
Causes of death in road crashes: evidence from the routinely-published statistics of several countries.
*American Association for Automotive Medicine Quarterly*,
3
(1981),
no.1,
39–40.

**C1.**
Hutchinson TP**:**
An assessment of the information given in railway timetable-leaflets.
*Journal of Consumer Studies and Home Economics*,
5
(1981),
239–246.

**C1.**
Hutchinson TP**:**
Compound gamma bivariate distributions.
*Metrika*,
28
(1981),
263–271.
MR82m:62223

**C1.**
Hutchinson TP**:**
Disagreements when using ordered categories.
*Quality and Quantity*,
15
(1981),
593–596.

**C1.**
Hutchinson TP and Adams V**:**
International statistics of road fatalities.
*Transport Reviews*,
1
(1981),
393–397.

**C1.**
Hutchinson TP and Lai PW**:**
Statistical aspects of injury severity. Part III: Making allowance for differences in the assessment of level of trauma.
*Transportation Science*,
15
(1981),
297–305.

**C1.**
Ivers DJ and James RW**:**
On the maintenance of magnetic fields by compressible flows and the Nernst-Ettingshausen effect.
*Geophysical and Astrophysical Fluid Dynamics*,
16
(1981),
319–323.

**C1.**
Ivers DJ and James RW**:**
Interpretation of the spectral proof of Cowling's theorem.
*Geophysical and Astrophysical Fluid Dynamics*,
16
(1981),
325–328.

**C1.**
Kelly GM and Koubek V**:**
The large limits that all good categories admit.
*Journal of Pure and Applied Algebra*,
22
(1981),
253–263.
MR82j:18002

**C1.**
Kirk JG and Galloway DJ**:**
The stopping of fast protons in the accretion column of a neutron star.
*Monthly Notices of the Royal Astronomical Society*,
195
(1981),
45P–50P.

**C1.**
Kuo TC and Ward JN**:**
A theorem on almost analytic equisingularity.
*Journal of the Mathematical Society of Japan*,
33
(1981)
MR0627055

**C1.**
Lai KF**:**
Hilbert's Twelfth Problem — the Reciprocity Law and Langlands' Conjecture.
*Acta Scientiarum Naturalium Universitatis Sunyatseni*,
65
(1981),
104–114.

**C1.**
Lai KF**:**
Orders of finite algebraic groups.
*Pacific Journal of Mathematics*,
97
(1981)
MR83g:20048

**C1.**
Macaskill C and Uscinski BJ**:**
Propagation in waveguides containing random irregularities: the second moment equation.
*Royal Society of London. Proceedings*,
Series A. Mathematical and Physical Sciences,
377
(1981),
73–98.

**C1.**
O'Brian NR, Toledo D and Tong YL**:**
The trace map and characteristic classes for coherent sheaves.
*American Journal of Mathematics*,
103
(1981),
225–252.
MR82f:32021

**C1.**
O'Brian NR, Toledo D and Tong YL**:**
Hirzebruch-Riemann-Roch for coherent sheaves.
*American Journal of Mathematics*,
103
(1981),
253–271.
MR82f:32022

**C1.**
O'Brian NR, Toledo D and Tong YL**:**
Grothendieck-Riemann-Roch for coherent sheaves.
*Bulletin of the American Mathematical Society*,
5
(1981),
182–184.
MR82m:32011

**C1.**
Rees DE**:**
An Energy Balance Climate Model.
*International Journal of Mathematics Education, Science and Technology*,
12
(1981),
377–386.

**C1.**
Seneta E and Sheridan S**:**
Strong ergodicity of non-negative matrix products.
*Linear Algebra and its Applications*,
37
(1981),
277–292.
MR83c:15018

**C1.**
Szabo P**:**
Sobre la Existencia de Conjuntos Medibles No Borelianos.
*Revista Ciencias Matematicas*,
2
(1981),
3–15.
MR0648345

**C1.**
Szabo P and Fuentes-Cobas L**:**
Unfolding by the Fast Fourier Transform Method.
*Revista Cubana de Fisica*,
1
(1981),
23–40.

**C1.**
Walters RFC**:**
Sheaves and Cauchy-complete categories.
*Cahiers de Topologie et Géométrie Différentielle Catégoriques*,
22
(1981),
282–286.

**C1.**
Weber NC**:**
Incomplete degenerate \(U\)-statistics.
*Scandinavian Journal of Statistics. Theory and Applications*,
8
(1981),
120–123.
MR84c:62039

**C1.**
Weber NC**:**
A GLIM macro to test for marginal homogeneity in contingency.
*GLIM Newsletter*,
4
(1981),
28–30.

**C1.**
Wiesmeier A and Durrant CJ**:**
The anbalysis of solar limb observations I. Restoration of data in a titled reference frame.
*Astronomy and Astrophysics*,
104
(1981),
207–210.

## Conference Proceedings

**E1.**
Cannon JJ
(1981)
The basis of a computer system for modern algebra.
*SYMSAC '81*,
*Proceedings of the 1981 ACM Symposium on Symbolic and Algebraic Computation, Snowbird, Utah, August, 1981*,
Assoc. Comp. Mach., New York,
1–5.

**E1.**
Seneta E
(1981)
Least squares in pre-revolutionary Russia.
*First Australian Conference on the History of Mathematics*,
Crossley JN (ed.) ,
(Melbourne, 1981)
MR0719544

## Other Output

**OT.**
Taylor DE
(1981)
Review of "The Mind's Eye" by D. Hofstadter.
Sydney Morning Herald

## Unpublished Conference Proceedings

**UN.**
Rees DE
Techniques for Computing Stokes Profiles.
*Conference on Solar Polarimetry and Magnetic Fields, Institute for Astronomy, Hawaii (May 1981)*
.

**UN.**
Rees DE
The Future of Solar Polarimetry.
*AGM Astronomical Society of Australia, Wollongong (May 1981)*
.