# Research Publications for 1987

## Books

**A1.**
Dimca A

Dimca A**:**
*Topics on Real and Complex Singularities.*
Vieweg Advanced Lectures in Mathematics,
Friedr. Vieweg & Sohn, Braunscheig,
1987.
MR1013785

**A2.**
Hutchinson TP

Hutchinson TP**:**
*Road Accident Statistics.*
Rumsby Scientific Publishing, Adelaide,
1987.

**A2.**
Walters RFC and Wehrhahn KH

Walters RFC, Wehrhahn KH**:**
*Calculus I.*
Carslaw Publications,
1987.

## Chapters in Books

**B1.**
Rees DE

Rees DE**:**
A gentle introduction to polarized radiative transfer,
*Numerical Radiative Transfer.*
Kalkofen W (ed.),
Cambridge University Press,
1987,
213–239.
(Chapter 9)

**B1.**
Rees DE and Murphy GA

Rees DE, Murphy GA**:**
Non-LTE polarized radiative transfer in spectral lines,
*Numerical Radiative Transfer.*
Kalkofen W (ed.),
Cambridge University Press,
1987,
241–263.
(Chapter 10)

**B1.**
Robinson J

Robinson J**:**
Nonparametric confidence intervals in regression: the bootstrap and randomization methods,
*New Perspectives in Theoretical and Applied Statistics.*
Puri ML, Vilaplana JP, Wertz W (ed.),
Wiley, New York,
1987,
243–255.
MR0900219

**B1.**
Zheligovsky VA

Zheligovsky VA**:**
On the stochastic behavior of trajectories of a class of flows in a sphere,
*Numerical modeling and analysis of geophysical processes.*
Computational Seismology,
**20**,
Nauka, Moscow,
1987,
60–65.

## Journal Articles

**C1.**
Aldazabal G, Diaz AH and Zhang RB

Aldazabal G., Diaz A. H., Zhang R. B.**:**
Nonlinear sigma models on arbitrary genus Riemann surfaces.
*Phys. Lett. B*,
194
(1987),
no.2,
207–214.
MR903012

**C1.**
Barnes DW

Barnes DW**:**
On Carlson's spectral sequence.
*Journal of Pure and Applied Algebra*,
48
(1987),
221–222.
MR89c:20075

**C1.**
Barnes DW

Barnes DW**:**
The simplicial bundle of a CW fibration.
*Proceedings of the American Mathematical Society*,
102
(1987),
559–562.
MR88m:55022

**C1.**
Betti R and Walters RFC

Betti R, Walters RFC**:**
Completeness of locally-internal categories.
*Journal of Pure and Applied Algebra*,
47
(1987),
105–117.
MR88i:18005

**C1.**
Borceux F and Kelly GM

Borceux F, Kelly GM**:**
On locales of localizations.
*Journal of Pure and Applied Algebra*,
46
(1987),
1–34.
MR88k:18004

**C1.**
Carboni A, Kasangian S and Walters RFC

Carboni A, Kasangian S, Walters RFC**:**
An axiomatics for bicategories of modules.
*Journal of Pure and Applied Algebra*,
45
(1987),
127–141.
MR88c:18002

**C1.**
Carboni A and Walters RFC

Carboni A, Walters RFC**:**
Cartesian bicategories I, A calculus of relations, additive relations, and order ideals.
*Journal of Pure and Applied Algebra*,
49
(1987),
11–32.
MR88k:18009

**C1.**
Cartwright DI and Soardi PM

Cartwright DI, Soardi PM**:**
A local limit theorem for random walks on the cartesian product of discrete groups.
*Unione Matematica Italiana. Bollettino. A*,
Serie VII,
1–A
(1987),
107–115.
MR89a:60159

**C1.**
Clarkson PA and Cosgrove CM

Clarkson PA, Cosgrove CM**:**
Painlevé analysis of the non-linear Schrödinger family of equations.
*Journal of Physics. A. Mathematical and General*,
20
(1987),
2003–2024.
MR89c:35136

**C1.**
Dancer EN

Dancer EN**:**
Degenerate critical points, Morse inequalities and homotopy indices II.
*Journal für die Reine und Angewandte Mathematik*,
382
(1987),
145–164.
MR89h:58038

**C1.**
Dancer EN and Hess P

Dancer EN, Hess P**:**
On stable solutions of quasilinear periodic parabolic problems.
*Annali della Scuola Normale Superiore di Pisa*,
14
(1987),
123–141.
MR0937539

**C1.**
Dancer EN and Schmitt K

Dancer EN, Schmitt K**:**
On positive solutions of semilinear elliptic equations.
*Proceedings of the American Mathematical Society*,
101
(1987),
445–452.
MR89a:35017

**C1.**
Datta B, Hillman JA and Nag S

Datta B, Hillman JA, Nag S**:**
Characterization theorems for compact hypercomplex manifolds.
*Journal of the Australian Mathematical Society*,
43
(1987),
231–245.
MR88j:32038

**C1.**
Dimca A and Choudary ADR

Dimca A, Choudary ADR**:**
On the dual and hessian mappings of projective hypersurfaces.
*Mathematical Proceedings of the Cambridge Philosophical Society*,
101
(1987),
461–468.
MR88d:14021

**C1.**
Dimca A and Choudary ADR

Dimca A, Choudary ADR**:**
Hypersurface singularities, codimension two complete intersections and tangency sets.
*Geometriæ Dedicata*,
24
(1987),
255–260.
MR0914821

**C1.**
Dimca A and Tibar M

Dimca A, Tibar M**:**
Pull-backs of isolated singularities under analytic coverings.
*Revue Roumaine de Mathématiques Pures et Appliquées*,
32
(1987),
523–530.
MR88k:32021

**C1.**
Du J

Du J**:**
Tensor products of certain Weyl modules and some \(\mathrm{Ext}^1_G\)-groups.
*Journal of Mathematical Research and Exposition*,
7
(1987),
403–407.
MR89b:20091

**C1.**
Easdown D

Easdown D**:**
The minimal faithful degree of a fundamental inverse semigroup.
*Bulletin of the Australian Mathematical Society*,
35
(1987),
373–378.
MR88g:20142

**C1.**
Gabriel KR and Robinson J

Gabriel KR, Robinson J**:**
A note on simultaneous inference with randomization tests.
*Communications in Statistics. Theory and Methods*,
16
(1987),
2007–1025.

**C1.**
Gagen TM

Gagen TM**:**
Thoughts on mathematical education and some enrichment classes in North Sydney.
*The Australian Mathematics Teacher*,
43
(1987),
21–23.

**C1.**
Galloway DJ and Frisch U

Galloway DJ, Frisch U**:**
A note on the stability of a family of space-periodic Beltrami flows.
*Journal of Fluid Mechanics*,
180
(1987),
557–564.

**C1.**
Gibson D and Seneta E

Gibson D, Seneta E**:**
Augmented truncations of infinite stochastic matrices.
*Journal of Applied Probability*,
24
(1987),
600–608.
MR88k:60122

**C1.**
Gibson D and Seneta E

Gibson D, Seneta E**:**
Monotone infinite stochastic matrices and their augmented truncations.
*Stochastic Processes and their Applications*,
24
(1987),
287–292.
MR89h:60110

**C1.**
Gibson WG

Gibson WG**:**
Levinson's theorem and the second virial coefficient in one, two and three dimensions.
*Physical Review. A*,
A 36
(1987),
564–575.
MR88k:81237

**C1.**
Gibson WG, Larsen SY and Popiel J

Gibson WG, Larsen SY, Popiel J**:**
Hyperspherical harmonics in one-dimension: adiabatic effective potentials for three particles with delta-function interactions.
*Physical Review. A*,
A 35
(1987),
4919–4929.

**C1.**
Hillman JA

Hillman JA**:**
The kernel of integral cup product.
*Journal of the Australian Mathematical Society*,
43
(1987),
10–15.
MR88f:20066

**C1.**
Hillman JA

Hillman JA**:**
3-Dimensional Poincaré duality groups which are extensions.
*Mathematische Zeitschrift*,
195
(1987),
89–92.
MR88m:57022

**C1.**
Hirschfeld JWP and Wall GE

Hirschfeld JWP, Wall GE**:**
Thomas Gerald Room 1902-1986.
*Bibliographical Memoirs of Fellows of the Royal Society*,
33
(1987),
575–601.

**C1.**
Howlett RB and Lehrer GI

Howlett RB, Lehrer GI**:**
Embeddings of Hecke Algebras in group algebras.
*Journal of Algebra*,
105
(1987),
159–174.
MR88c:20019

**C1.**
Hutchinson TP

Hutchinson TP**:**
Re "Analytical potential for multiple cause-of-death data".
*American Journal of Epidemiology*,
126
(1987),
158–159.

**C1.**
Hutchinson TP and Barton DC

Hutchinson TP, Barton DC**:**
A mechanical reasoning test with answer-until-correct directions confirms a quantitative description of partial information.
*Research in Science and Technological Education*,
5
(1987),
93–101.

**C1.**
Hutchinson TP and Tang KY

Hutchinson TP, Tang KY**:**
Letter on "The value of latent class analysis in medical diagnosis" by Rindskopf and Rindskopf.
*Statistics in Medicine*,
6
(1987),
529–530.

**C1.**
Im GB and Kelly GM

Im GB, Kelly GM**:**
Adjoint-triangle theorems for conservative functors.
*Bulletin of the Australian Mathematical Society*,
36
(1987),
133–136.
MR88k:18005

**C1.**
Johnson MS and Walters RFC

Johnson M, Walters RFC**:**
On the nerve of an \(n\)-category.
*Cahiers de Topologie et Géométrie Différentielle Catégoriques*,
28
(1987),
257–282.
MR89e:18014

**C1.**
Joshi N

Joshi N**:**
Painlevé property of general variable-coefficient versions of the Korteweg-de Vries and non-linear Schrodinger equations.
*Physics Letters. A*,
125
(1987),
no.9,
456–460.
MR0917430

**C1.**
Kachoyan BJ and Macaskill C

Kachoyan BJ, Macaskill C**:**
Acoustic scattering from an arbitrarily rough surface.
*Journal of the Acoustical Society of America*,
82
(1987),
1720–1726.

**C1.**
Karlov L

Karlov L**:**
Clocks in non-standard synchrony.
*General Relativity and Gravitation*,
19
(1987),
455–464.
MR88h:83007

**C1.**
Kelly GM

Kelly GM**:**
On the ordered set of reflective subcategories.
*Bulletin of the Australian Mathematical Society*,
36
(1987),
137–152.
MR88k:18006

**C1.**
Koh IG and Zhang RB

Koh I. G., Zhang R. B.**:**
Stochastic quantization and random surface approach to Polyakov string theory.
*Phys. Rev. D (3)*,
35
(1987),
no.12,
3906–3914.
MR897051

**C1.**
Kuchel PW, Bulliman BT and Fackerell ED

Kuchel PW, Bulliman BT, Fackerell ED**:**
Bi-cyclide and flat-ring coordinate surfaces: correction of two expressions.
*Mathematics of Computation*,
49
(1987),
607–613.
MR88m:33002

**C1.**
Lehrer GI

Lehrer GI**:**
On the Poincaré series associated with Coxeter group actions on complements of hyperplanes.
*Journal of the London Mathematical Society*,
Second Series,
35
(1987),
275–294.
MR88k:32037

**C1.**
Lites BW, Skumanich A, Rees DE, Murphy GA and Carlsson M

Lites BW, Skumanich A, Rees DE, Murphy GA, Carlsson M**:**
Stokes profile analysis and vector magnetic fields III. Extended temperature minima of sunspot umbrae as inferred from Mg \(\lambda\) 4571.
*Astrophysical Journal*,
318
(1987),
930–939.

**C1.**
Mack JM

Mack JM**:**
Mathematics Education into the Twenty-first Century.
*Curriculum Focus K-6*,
7
(1987),
99–109.
(Catholic Education Office, Sydney)

**C1.**
Mack JM

Mack JM**:**
Computers and Mathematics.
*Australian Mathematical Society Gazette*,
14
(1987),
13–14.

**C1.**
Madan DB and Seneta E

Madan DB, Seneta E**:**
Simulation of estimates using the empirical characteristic function.
*International Statistical Review*,
55
(1987),
153–161.
MR89g:62042

**C1.**
Madan DB and Seneta E

Madan DB, Seneta E**:**
Chebyshev polynomial approximations and characteristic function estimation.
*Journal of the Royal Statistical Society*,
Series B. Methodological,
49
(1987),
163–169.
MR88k:62053

**C1.**
Marzantowicz W and Parusiński A

Marzantowicz W, Parusiński A**:**
Periodic Solutions Near an Equilibrium of a Differential Equation with a First Integral.
*Rendiconti del Seminario Matematico della Università di Padova*,
77
(1987),
193–206.
MR0904621

**C1.**
Monro GP

Monro GP**:**
The concept of multiset.
*Zeitschrift für Mathematische Logik und Grundlagen der Mathematik*,
33
(1987),
171–178.
MR89b:04003

**C1.**
O'Brian NR

O'Brian NR**:**
Geometry of twisting cochains.
*Compositio Mathematica*,
63
(1987),
41–62.
MR89h:58176

**C1.**
Paunescu L

Laurentiu Paunescu**:**
Equivariant Maps for Properly Discontinuous Actions.
*Studii și Cercetări Matematice. Mathematical Reports*,
39
(1987),
147–155.
MR88k:57050

**C1.**
Paunescu L

Laurentiu Paunescu**:**
The Natural Transformations of the Complex K-Theory.
*Studii și Cercetări Matematice. Mathematical Reports*,
39
(1987),
382–384.
MR89a:55033

**C1.**
Peiris MS

Peiris MS**:**
A note on the predictors of differenced sequences.
*The Australian Journal of Statistics*,
29
(1987),
42–48.
MR88g:62202

**C1.**
Peiris MS and Singh N

Peiris, M.S. and Singh, N.**:**
Optimal experimental design for linear time series models with stochastic coefficients.
*Journal of the Indian Society for Statistics and Operations Research*,
8
(1987),
1–9.
MR0918016

**C1.**
Peiris MS and Singh N

Peiris MS, Singh N**:**
A note on the properties of some nonstationary ARMA processes.
*Stochastic Processes and their Applications*,
24
(1987),
151–155.
MR88g:60099

**C1.**
Peiris MS and Singh N

Peiris MS, Singh N**:**
A simple and asymptotically optimal test of equality for \(q > 2\) multivariate normal distributions: A pragmatic approach to one way classification.
*Microelectronics and Reliability*,
27
(1987),
567–573.

**C1.**
Peiris MS and Singh N

Peiris MS, Singh N**:**
On prediction of multivariate ARMA processes with a time dependent covariance structure.
*Communications in Statistics. Theory and Methods*,
17
(1987),
27–37.
MR0951704

**C1.**
Quine MP and Seneta E

Quine MP, Seneta E**:**
Bortkiewicz's data and the law of small numbers.
*International Statistical Review*,
55
(1987),
173–181.
MR89k:01020

**C1.**
Recsei E and Seneta E

Recsei E, Seneta E**:**
Bonferroni-type inequalities.
*Advances in Applied Probability*,
19
(1987),
508–511.
MR88g:60029

**C1.**
Robinson J

Robinson J**:**
Conditioning ratio estimates under simple random sampling.
*Journal of the American Statistical Association*,
82
(1987),
826–831.
MR88h:62016

**C1.**
Ryan AJ

Ryan AJ**:**
Hypercomplex algebras, hypercomplex analysis and conformal invariance.
*Compositio Mathematica*,
61
(1987),
61–80.
MR88j:30095

**C1.**
Ryan AJ

Ryan AJ**:**
Applications of complex Clifford analysis to the study of solutions to generalized Dirac and Klein-Gordon equations, with holomorphic potential.
*Journal of Differential Equations*,
67
(1987),
295–329.
MR88f:30082

**C1.**
Ryan AJ

Ryan AJ**:**
Runge approximation theorems arising in complex Clifford analysis, together with some of their applications.
*Journal of Functional Analysis*,
70
(1987),
221–253.
MR88h:30073

**C1.**
Seneta E

Seneta E**:**
Discussion of D. A. Freeman's "As Others See Us \dots ".
*Journal of Educational Statistics*,
12
(1987),
198–201.

**C1.**
Seneta E

Seneta E**:**
Multivariate probability in terms of marginal probability and correlation coefficient.
*Biometrical Journal*,
29
(1987),
375–380.
MR88g:62042

**C1.**
Seneta E

Seneta E**:**
Chuprov on finite exchangeability, expectation of ratios, and measures of association.
*Historia Mathematica*,
14
(1987),
243–257.
MR89g:01040

**C1.**
Snodgrass HB and Wilson PR

Snodgrass HB, Wilson PR**:**
Torsional oscillations as a signature of giant cells.
*Nature*,
328
(1987),
696.

**C1.**
Stening RJ and Winch DE

Stening RJ, Winch DE**:**
The lunar geomagnetic tide at night.
*Geophysics Journal of the Royal Astronomical Society*,
88
(1987),
461–476.

**C1.**
Stening RJ and Winch DE

Stening RJ, Winch DE**:**
Night-time geomagnetic variations at low latitudes.
*Planet. Space Sci.*,
12
(1987),
1523–1539.

**C1.**
Sun SH

Sun SH**:**
A note on Arhangelski's inequality.
*Journal of the Mathematical Society of Japan*,
39
(1987),
363–366.
MR88k:54004

**C1.**
Sun SH

Sun SH**:**
A common generalization of Hajnal-Juhasz's theorem and Sapirovskii's theorem.
*Acta Mathematica Sinica*,
2
(1987),
145–147.
MR88h:54008

**C1.**
Sun SH and Liang JH

Sun SH, Liang JH**:**
On some questions of T. Noiri.
*Questions and Answers in General Topology*,
5
(1987),
259–260.
MR0917883

**C1.**
Taylor DE

Taylor DE**:**
Pairs of generators for matrix groups I.
*The Cayley Bulletin*,
3
(1987),
76–85.

**C1.**
Taylor DE

Taylor DE**:**
Puzzles, groups and groupoids.
*Reflections*,
12
(1987),
150–156.

**C1.**
Thompson G and Zhang RB

George Thompson and Ruibin Zhang**:**
Nonperturbative method in field theory: The gauge technique.
*Physical review. D. Particles and fields*,
35
(1987),
no.2,
631–635.

**C1.**
Thompson RS

R S Thompson**:**
Blood flow velocity waveforms.
*Seminars in Perinatology*,
11
(1987),
300–310.

**C1.**
Thompson RS and Trudinger BJ

R S Thompson and B J Trudinger**:**
Doppler ultrasound velocity waveform analysis.
*Australasian Physical and Engineering Sciences in Medicine*,
10
(1987),
183–195.

**C1.**
Trudinger BJ, Cook CM, Giles WB, Connelly AJ and Thompson RS

B J Trudinger, C M Cook, W B Giles, A J Connelly and R S Thompson**:**
Umbilical artery flow velocity waveforms: A randomized controlled trial.
*Lancet*,
i
(1987),
188–190.

**C1.**
Trudinger BJ, Stevens D, Connelly AJ, Hales JR, Alexander G, Bradley L, Fawcett A and Thompson RS

B J Trudinger, D Stevens, A J Connelly, J R Hales, G Alexander, L Bradley, A Fawcett and R S Thompson**:**
Umbilical artery flow velocity waveforms and placental resistance: the effects of embolization of the umbilical circulation.
*American Journal of Obstetrics and Gyncecology*,
157
(1987),
1443–1449.

**C1.**
Weber NC

Weber NC**:**
The histogram and some new techniques for data presentation.
*Reflections*,
12
(1987),
70–76.

**C1.**
Wilson PR

Wilson PR**:**
Solar rotation and giant cells.
*Solar Physics*,
110
(1987),
59–72.

**C1.**
Wilson PR

Wilson PR**:**
Solar cycle workshop, first meeting (a review).
*Solar Physics*,
110
(1987),
1–10.

**C1.**
Winch DE

Winch DE**:**
The interdivisional commission: external/internal geomagnetic relations.
*IAGA News*,
26
(1987),
67–75.

**C1.**
Winch DE

Winch DE**:**
Geomagnetic variations.
*The Observatory*,
107
(1987),
103–105.

**C1.**
Winch DE

Winch DE**:**
International geomagnetic reference field revision 1987, IAGA Division I working Group I.
*IAGA News*,
26
(1987),
87–92.

**C1.**
Winch DE

Winch DE**:**
International geomagnetic reference field revision 1987, IAGA Division I Working Group I.
*Journal of Geomagnetism and Geoelectricity*,
39
(1987),
773–779.

**C1.**
Winch DE, McEwin AJ and Barton CE

Winch DE, McEwin AJ, Barton CE**:**
Evaluation of IGRF candidate models over the Australian region.
*Physics Earth Planet International*,
48
(1987),
338–343.

## Conference Proceedings

**E1.**
Kuo TC

Kuo TC
(1987).
A natural equivalence relation of singularities.
*Singularities*,
Banach Centre Publications,
**20**
MR0929183

**E1.**
Luckock HC

Luckock HC
(1987).
Black Hole Skyrmions.
*1986 Paris-Meudon Colloquium*,
*String Theory, Quantum Cosmology and Quantum Gravity, Integrable and Conformal Invariant Theories*,
de Vega HJ, Sanchéz N (ed.) ,
World Scientific
MR0894773

**E1.**
Ryan AJ

Ryan AJ
(1987).
Iterated Dirac operators and conformal transformations.
*Proceedings of the fifteenth International Conference on Differential Geometric Methods in Theoretical Physics, Clausthal, 1986*,
World Scientific,
390–399.
MR1023211

## Other Output

**OT.**
Wilson PR

Wilson PR
(1987).
The sunspot cycle: tip of the iceberg.
*Sky and Telescope*,
**73**,
589–591.

**OT.**
Wilson PR

Wilson PR
(1987).
The Sun also surprises.
*Natural History*,
**11**,
88–90.

**OT.**
Wilson PR

Wilson PR
(1987).
A more complex cycle.
Science News,
**131**,
39–41.

**OT.**
Wilson PR

Wilson PR
(1987).
Astronomers double the sunspot cycle.
New Scientist,
**22**

## Unpublished Conference Proceedings

**UN.**
Galloway DJ and Frisch U

Galloway DJ, Frisch U.
Dynamo action and stability for the ABC flows.
*Non-linear dynamics of rotating magnetic systems conference UCLA 1987*
.

**UN.**
Galloway DJ and Jones CA

Galloway DJ, Jones CA.
Magnetic fields, rotation and pattern selection in solar convection zone.
*Non-Linear dynamics of rotating magnetic systems conference UCLA 1987*
.

**UN.**
Ivers DJ

Ivers DJ.
Necessary conditions for dynamo action.
*Workshop on nonlinear dynamics of rotating magnetic systems, Los Angeles, USA 1987*
.

**UN.**
Ivers DJ

Ivers DJ.
Recent symmetric anti-dynamo results.
*IUGG XIX general assembly, Vancouver 1987*
.

**UN.**
Rees DE

Rees DE.
Teaching with PAM.
*Inaugural Conference of Tertiary Mathematics Teachers Group: Competing with Computing, UNSW (Dec 1987)*
.

**UN.**
Winch DE

Winch DE.
Lunar magnetic variations.
*IUGG XIX general assembly, Vancouver 1987*
.

**UN.**
Winch DE

Winch DE.
Global field models and the IGRF.
*BMR workshop on geomagnetic ref. fields, Canberra 1987*
.

**UN.**
Winch DE

Winch DE.
Magnetic daily variations and conductivity studies.
*IUGG XIX general assembly, Vancouver 1987*
.