# Research Publications for 1986

## Books

**A2.**
Walters RFC**:**
*Number Theory: an Introduction.*
Carslaw Publications,
1986,
(revised 1987).

**A2.**
Walters RFC and Wehrhahn KH**:**
*Calculus I: Curves and Functions.*
Carslaw Publications,
1986.

**A2.**
Walters RFC and Wehrhahn KH**:**
*Calculus I: Integration.*
Carslaw Publications,
1986.

**A3.**
Eyland RW (ed.) and others**:**
*Higher School Certificate Mathematics.*
Mathematical Association of New South Wales, Sydney,
1986.

## Chapters in Books

**B1.**
Macaskill C**:**
Scattering in a random medium with a mean refractive index profile,
*Wave Propagation and Scattering.*
Uscinski BJ (ed.),
Clarendon Press,
1986,
65–81.

**B1.**
Ryan AJ**:**
Complex Clifford analysis over the Lie ball,
*Conformal Groups and Related Symmetries, Physical Results and Mathematical Background.*
Barut AO, Doebner HD (ed.),
Lecture Notes in Physics,
**261**,
Springer Verlag,
1986,
216–224.
MR0870225

**B1.**
Ryan AJ**:**
Left regular polynomials in even dimensions, and tensor products of Clifford algebras: Clifford Algebras and their Applications,
*Mathematical Physics.*
NATO AS1 Series,
Reidel,
1986,
133–147.

**B1.**
Trudinger BJ, Thompson RS and Giles WB**:**
Doppler ultrasound and blood flow in obstetrics,
*Ultrasound Annual.*
Raven Press,
New York,
1986,
ISBN 0881672416,
39–65.

## Journal Articles

**C1.**
Adhikari SK, Gibson WG and Lim TK**:**
Effective range theory in two dimensions.
*Journal of Chemical Physics*,
85
(1986),
5580–5583.

**C1.**
Brown TC, Cartwright DI and Eagleson GK**:**
Correlations and characterizations of the uniform distribution.
*The Australian Journal of Statistics*,
28
(1986),
89–96.
MR87i:62032

**C1.**
Brown TC, Ivanoff BG and Weber NC**:**
Poisson convergence in two dimensions with application to row and column exchangeable arrays.
*Stochastic Processes and their Applications*,
23
(1986),
307–318.
MR88d:60142

**C1.**
Camina AR, Everest GR and Gagen TM**:**
Enumerating non-soluble groups — a conjecture of John G. Thompson.
*The Bulletin of the London Mathematical Society*,
18
(1986),
265–268.
MR87b:20033

**C1.**
Cartwright DI and Soardi PM**:**
Harmonic analysis on the free product of two cyclic groups.
*Journal of Functional Analysis*,
65
(1986),
147–171.
MR87m:22015

**C1.**
Cartwright DI and Soardi PM**:**
Random walks on free products, quotients and amalgams.
*Nagoya Mathematics Journal*,
102
(1986),
163–180.
MR88i:60120a

**C1.**
Daley DJ and Seneta E**:**
Modelling examination marks.
*The Australian Journal of Statistics*,
28
(1986),
143–153.

**C1.**
Dancer EN**:**
On the number of solutions of weakly nonlinear elliptic equations when a parameter is large.
*Proceedings of the London Mathematical Society*,
53
(1986),
429–452.
MR88c:35061

**C1.**
Dancer EN**:**
The \(G\)-invariant implicit function theorem in infinite dimensions II.
*Proceedings of the Royal Society of Edinburgh*,
Section A. Mathematics,
102A
(1986),
211–220.
MR87i:58015

**C1.**
Dancer EN**:**
Multiple fixed points of positive mappings.
*Journal für die Reine und Angewandte Mathematik*,
371
(1986),
46–66.
MR88b:58020

**C1.**
Dimca A**:**
On the homology and cohomology of complete intersections with isolated singularities.
*Compositio Mathematica*,
58
(1986),
321–339.
MR87m:14022

**C1.**
Dimca A**:**
Singularities and coverings of weighted complete intersections.
*Journal für die Reine und Angewandte Mathematik*,
366
(1986),
184–193.
MR87g:14056

**C1.**
Dimca A**:**
Milnor numbers and multiplicities of dual varieties.
*Revue Roumaine de Mathématiques Pures et Appliquées*,
31
(1986),
535–538.
MR87k:14002

**C1.**
Drasin D and Seneta E**:**
A generalization of slowly varying functions.
*Proceedings of the American Mathematical Society*,
96
(1986),
470–472.
MR87d:26002

**C1.**
Du J**:**
The Cartan invariants for \(\mathrm{SL}(4,2^n)\).
*Journal of East China Normal University*,
1986
(1986),
no.4,
17–25.
MR88m:20088

**C1.**
Dudley ML, James RW and Phillips CG**:**
Bounds on the infimum decay rate for axisymmetric incompressible dynamos.
*Geophysical and Astrophysical Fluid Dynamics*,
35
(1986),
373–378.
MR87i:76059

**C1.**
Evans SN and Weber NC**:**
On the almost sure convergence of a general stochastic approximation procedure.
*Bulletin of the Australian Mathematical Society*,
34
(1986),
335–342.
MR88b:62159

**C1.**
Field MJ**:**
Equivariant dynamics.
*Contemporary Mathematics*,
56
(1986),
69–96.
MR0855085

**C1.**
Galloway DJ**:**
Numerical simulations of solar and stellar dynamos.
*Advances in Space Research*,
6
(1986),
19–28.

**C1.**
Galloway DJ and Frisch U**:**
Dynamo action in a family of flows with chaotic streamlines.
*Geophysical and Astrophysical Fluid Dynamics*,
36
(1986),
53–83.
MR87j:76104

**C1.**
Gibson WG**:**
Two-dimensional scattering: low-energy behaviour of the Jost function and Levinson's theorem.
*Physics Letters*,
A,
117
(1986),
107–110.
MR87g:81119

**C1.**
Hillman JA**:**
On metabelian two-knot groups.
*Proceedings of the American Mathematical Society*,
96
(1986),
372–374.
MR87f:57023

**C1.**
Hillman JA**:**
Knot modules and the elementary divisor theorem.
*Journal of Pure and Applied Algebra*,
40
(1986),
115–124.
MR87i:57019

**C1.**
Hillman JA**:**
Abelian normal subgroups of two-knot groups.
*Commentarii Mathematici Helvetici*,
61
(1986),
122–148.
MR87m:57023

**C1.**
Hillman JA**:**
Finite simple even-dimensional knots.
*Journal of the London Mathematical Society*,
34
(1986),
369–374.
MR88d:57003

**C1.**
Hillman JA**:**
Symmetries of knots and links, and invariants of abelian coverings, I.
*Kobe Journal of Mathematics*,
3
(1986),
7–27.
MR88f:57005

**C1.**
Hillman JA**:**
Symmetries of knots and links, and invariants of abelian coverings, II.
*Kobe Journal of Mathematics*,
3
(1986),
149–165.
MR88f:57005

**C1.**
Hutchinson TP**:**
Statistical modelling of injury severity, with special reference to driver and front seat passenger in single-vehicle crashes.
*Accident Analysis and Prevention*,
18
(1986),
157–167.
(Presented at the International Workshop on the Methodology of Modelling Road Accident and Injury Patterns, organised by the International Drivers' Behaviour Research Association, held at the University of Sussex, July 1984)

**C1.**
Hutchinson TP**:**
Evidence about partial information from an answer-until-correct administration of a test of spatial reasoning.
*Contemporary Educational Psychology*,
11
(1986),
264–275.

**C1.**
Hutchinson TP, Burt N, Cuzner A and Howell R**:**
Three categories of urban bus passengers.
*Highways and Transportation*,
33
(1986),
no.10,
14–16.

**C1.**
Hutchinson TP and Rowell S**:**
Points systems for car insurance.
*Insurance: Mathematics and Economics*,
5
(1986),
255–259.

**C1.**
Im GB and Kelly GM**:**
On classes of morphisms closed under limits.
*Journal of the Korean Mathematical Society*,
23
(1986),
1–18.
MR87i:18002a

**C1.**
Im GB and Kelly GM**:**
Some remarks on conservative functors with left adjoints.
*Journal of the Korean Mathematical Society*,
23
(1986),
19–33.
MR87i:18002b

**C1.**
Im GB and Kelly GM**:**
A universal property of the convolution monoidal structure.
*Journal of Pure and Applied Algebra*,
43
(1986),
75–88.
MR87m:18011

**C1.**
Ivers DJ and James RW**:**
Extension of the Namikawa-Matsushita antidynamo theorem to toroidal fields.
*Geophysical and Astrophysical Fluid Dynamics*,
36
(1986),
317–324.
MR87m:76069

**C1.**
Ivers DJ and James RW**:**
Antidynamo theorems for non-radial flows.
*Geophysical and Astrophysical Fluid Dynamics*,
40
(1986),
147–163.

**C1.**
Joshi N and Kruskal MD**:**
The connection problem for Painlevé transcendents.
*Physica D*,
18D
(1986),
215–216.
MR0838326

**C1.**
Kelly GM**:**
A survey of totality for ordinary and enriched categories.
*Cahiers de Topologie et Géométrie Différentielle Catégoriques*,
27
(1986),
109–132.
MR87k:18009

**C1.**
Klotz AH**:**
Generalized field theory and Kasner Universe.
*Acta Physica Polonica. A*,
(1986),
959–969.
MR0881087

**C1.**
Klotz AH**:**
The electromagnetism of generalized field theory.
*Acta Physica Polonica. A*,
(1986),
745–769.
MR0872348

**C1.**
Lehrer GI and Solomon L**:**
On the action of the symmetric group on the cohomology of the complement of its reflecting hyperplanes.
*Journal of Algebra*,
104
(1986),
410–424.
MR88a:32017

**C1.**
Luckock HC and Moss IG**:**
Black Holes have Skyrmion Hair.
*Physics Letters*,
A,
176B
(1986),
341–345.

**C1.**
Mack JM**:**
H.S.C. Participation Rates.
*Reflections*,
11
(1986),
no.3,
7–10.

**C1.**
Mack JM**:**
William Broderick Smith-White.
*Reflections*,
11
(1986),
no.3,
3–6.
(obituary)

**C1.**
Mack JM**:**
A rationale for national mathematics curriculum guidelines.
*Australian Mathematical Society Gazette*,
13
(1986),
61–65.
(Republished in Australian Senior Mathematics Journal, 1, 15–21, 1987)

**C1.**
Monro GP**:**
Quasitopoi, logic and Heyting valued models.
*Journal of Pure and Applied Algebra*,
42
(1986),
141–164.
MR88m:03096

**C1.**
Monro GP**:**
A category theoretic approach to Boolean valued models of set theory.
*Journal of Pure and Applied Algebra*,
42
(1986),
245–274.
MR88f:03045

**C1.**
Peiris MS**:**
On prediction with time dependent ARMA models.
*Communications in Statistics. Theory and Methods*,
15
(1986),
3659–3668.
MR0871332

**C1.**
Rothman ED and Weber NC**:**
A model of weak selection in the infinite alleles framework.
*Journal of Mathematical Biology*,
24
(1986),
353–360.
MR87i:92024

**C1.**
Seneta E**:**
An inequality from genetics.
*Advances in Applied Probability*,
18
(1986),
860–861.
MR87i:92025

**C1.**
Sun SH**:**
On some problems of star-Lindelöf spaces.
*Annals of Mathematics*,
4A
(1986),
489–493.
MR88f:54045

**C1.**
Thompson RS, Trudinger BJ and Cook CM**:**
A comparison of Doppler ultrasound waveform indices in the umbilical artery - I. Indices derived from the maximum velocity waveform.
*Ultrasound in Medicine and Biology*,
12
(1986),
835–844.

**C1.**
Thompson RS, Trudinger BJ and Cook CM**:**
A comparison of Doppler ultrasound waveform indices in the umbilical artery - II. Indices derived from the mean velocity and first moment waveforms.
*Ultrasound in Medicine and Biology*,
12
(1986),
845–854.

**C1.**
Unger WR and Wehrhahn KH**:**
Species of ordered partitions.
*Ars Combinatoria*,
21-A
(1986),
141–146.
MR87j:05018

**C1.**
Uscinski BJ, Macaskill C and Spivack M**:**
Path integrals for wave intensity fluctuations in random media.
*Journal of Sound and Vibration*,
106
(1986),
509–528.
MR87g:78013

**C1.**
Varadarajan K and Wehrhahn KH**:**
\(p\)-Injectivity of simple pre-torsion Modules.
*Glasgow Mathematical Journal*,
28
(1986),
223–225.
MR87h:16044

**C1.**
Walker DM and Weber NC**:**
On the operating characteristic function for the exponential family.
*Bulletin of the Calcutta Statistical Association*,
35
(1986),
203–206.
MR0905363

**C1.**
Wall GE**:**
On the multilinear identities which hold in the Lie ring of a group of prime-power exponent.
*Journal of Algebra*,
104
(1986),
1–22.
MR88h:20047

**C1.**
Weber NC**:**
The Wright-Fisher model with varying selection.
*Journal of Applied Probability*,
23
(1986),
504–508.
MR87h:92040

**C1.**
Weber NC**:**
The jackknife and heteroskedasticity — consistent variance estimation for regression models.
*Economics Letters*,
20
(1986),
161–163.
MR87e:62079

**C1.**
Weber NC**:**
Discussion of C. Wu's "Jackknife, bootstrap, and other resampling methods in regression analysis".
*The Annals of Statistics*,
14
(1986),
1339–1340.

**C1.**
Wehrhahn KH**:**
Properties of some distributions in randomization theory.
*Journal of Statistical Planning and Inference*,
13
(1986),
231–237.
MR87h:62136

**C1.**
Wilson PR**:**
The generation of magnetic fields in photospheric layers.
*Solar Physics*,
106
(1986),
1–28.

**C1.**
Winch DE**:**
The geomagnetic field and \(S_q\).
*Exploration Geophysics*,
17
(1986),
17–18.

**C1.**
Winch DE**:**
The Australian Projection.
*Search*,
17
(1986),
275.

**C1.**
Winch DE**:**
International geomagnetic reference field revision 1985 IAGA Division I working Group I.
*Geophysics Journal of the Royal Astronomical Society*,
85
(1986),
217–220.

## Encyclopaedia Entries

**D.**
Seneta E**:**
Poisson, Simeon-Denis,
*Encyclopedia of Statistical Sciences.*
Kotz S, Johnson NL eds (ed.),
**7**,
J. Wiley and Sons, New York,
1986,
41–43.

**D.**
Seneta E**:**
Probability, History of (Outline),
*Encyclopedia of Statistical Sciences.*
Kotz S, Johnson NL eds (ed.),
**7**,
J. Wiley and Sons, New York,
1986,
218–222.

## Conference Proceedings

**E1.**
Chong YK, Hammond GP, Macaskill C and Ward J
(1986)
An experimental study of 2-D jet impingement heat mass transfer in a confined cross-flow.
*Proceedings of the 8th International Heat Transfer Conference*
MR0903688

**E1.**
Dancer EN
(1986)
Remarks on multiple solutions of nonlinear equations.
*Miniconference on geometric problems in partial differential equations, Centre for Mathematical Analysis*,
25–31.
MR0857651

**E1.**
Dancer EN
(1986)
Remarks on \(S^1\) symmetries and a special degree for \(S^1\)-invariant gradient maps.
*Nonlinear analysis and applications, Proc. Symposia in Pure Mathematics*,
American Mathematical Society,
**45**(1),
353–358.
MR0843571

**E1.**
Easdown D
(1986)
Efficient representations of semigroups.
Proceedings of the International Symposium on Regular Semigroups and Applications,
(University of Kerala, India, July 1986)

**E1.**
Easdown D
(1986)
Biordered sets of some interesting classes of semigroups.
*Proceedings of the International Symposium on Regular Semigroups and Applications, University of Kerala, India, July 1986*

**E1.**
Gibson WG
(1986)
Applications of few-body methods in statistical mechanics.
*International Symposium on Few-Body Methods, Nanning, China, (August 1985)*,
*Few-Body Methods: Principles and Applications*,
Lim TK, et al. eds (ed.) ,
World Scientific, Singapore,
637–659.

**E1.**
Hutchinson TP and Alderson JC
(1986)
Routine road accident data: Publications and their indexing.
*Road Traffic Accidents in Developing Countries*,
Asalor JO, Onibere EA, Ovuworie GC eds (ed.) ,
Joja Educational Research and Publishers, Lagos,
**1**,
461–488.

**E1.**
Kachoyan BJ and Macaskill C
(1986)
A numerical approach for rough surface scattering.
*Fluctuation Phenomena and Underwater Acoustics*,
Proc. Instit. Acoust.,
**8**,
43–52.

**E1.**
Lai KF and Mok N
(1986)
On a vanishing theorem on irreducible quotients of finite volume of polydiscs.
Lecture Notes in Mathematics,
Springer Verlag,
**1198**,
163–171.
MR88h:32031

**E1.**
Robinson J
(1986)
Bootstrap and randomization confidence intervals.
*Pacific Statistical Congress*,
Francis IS, Manly BFJ, Lam FC eds (ed.) ,
Elsevier Science Publishers,
49–50.

**E1.**
Seneta E
(1986)
Ukrainians in Australia's censuses.
*Second Conference, Melbourne, 5-7 April 1986 Department of Slavic Languages, Monash University*,
*Ukrainian Settlement in Australia*,
Pavlyshyn (ed.)
MR0857333

**E1.**
Weber NC
(1986)
On the jackknife and bootstrap techniques for regression models.
*Pacific Statistical Congress Proceedings*,
Francis I, Manly B, Lam F eds (ed.) ,
Elsevier Scientific Publishers,
51–55.

## Other Output

**OT.**
Gvishiani A, Zheligovsky VA, Mostinsky A, Salganik M, Tiuleneva S, Filimonov M and Shteinberg V
(1986)
Geophysical Data Bank - II. Strong motions data base.
58pp.
(Deposited at VINITI 21.11.1986 \#7941-B86, Moscow)

## Unpublished Conference Proceedings

**UN.**
Durrant CJ
The Sun's magic lamp.
*Inst. Phys. 7th Nat. Congress, Adelaide 1986*
.

**UN.**
Galloway DJ
Numerical simulation of solar and stellar dynamos.
*COSPAR meeting Toulouse, France 1986*
.

**UN.**
Keener RW and Weber NC
Consistent variance estimation for parameter estimators in linear models.
*8th Australian Statistical Conference, Adelaide*
.

**UN.**
Taylor DE
A species approach to enumeration problems.
*Australian Mathematical Society 30th Annual Meeting, Perth 1986*
.

**UN.**
Taylor DE
Species and permutation groups.
*International Conference on Finite Geometry and Combinatorics, Deinze, Belgium*
.

**UN.**
Weber NC
The bootstrap — a review.
*D.A.T.A. '86, Sydney*
.

**UN.**
Winch DE
Induction in the ocean.
*IAGA working group I-3, 8th workshop on electromagnetic induction in Earth and Moon 1986*,
Uni. de Neuchâtel
.