# Research Publications for 1988

## Books

**A1.**
Durrant CJ**:**
*The Atmosphere of the Sun.*
Adam Hilger, Bristol,
1988.

**A2.**
Monro GP**:**
*Proofs and Problems in Calculus.*
Carslaw Publications, Sydney,
1988.

**A2.**
Rylands LJ and Taylor DE**:**
*Mastering Rubik's Clock.*
Simon & Schuster,
1988.

**A4.**
Barnes DW and Mack JM**:**
*An Algebraic Introduction to Mathematical Logic.*
Beijing World Publishing Corporation,
1988,
(Reprint of the 1975 edition published by Springer-Verlag, Berlin).

## Chapters in Books

**B1.**
Galloway DJ and Jones CA**:**
The Pattern of Large-Scale Convection in the Sun,
*Secular Solar and Geomagnetic Variations in the Last 10,000 Years.*
Stephenson FR, Wolfendale AW (ed.),
Kluwer,
1988,
97–108.

**B1.**
Zheligovsky VA, Melchior P and Sadovsky AM**:**
Global correlations. I. Tidal gravity anomalies, heat flow and seismicity,
*Problems of Seismological Informatics.*
Computational Seismology,
**21**,
Nauka, Moscow,
1988,
32–37.

## Journal Articles

**C1.**
Beard GV and James RW**:**
Comments on Question 6 of the 1987 4-Unit mathematics paper.
*Reflections*,
(1988)
MR1059889

**C1.**
Bennett MR and Robinson J**:**
Growth and elimination of nerve terminals at synaptic sites during polyneuronal innervation of muscle cells: a tropic hypothesis.
*Royal Society of London. Proceedings*,
Series B,
235
(1988),
299–320.

**C1.**
Cartwright DI**:**
Some examples of random walks of free products on discrete groups.
*Annali Matematica Pura ed Applicata*,
Serie Quarta,
106
(1988),
1–15.
MR0964500

**C1.**
Cartwright DI**:**
Random walks on direct sums of discrete groups.
*Journal of Theoretical Probability*,
1
(1988),
341–356.
MR89j:60013

**C1.**
Cartwright DI and Kucharski K**:**
Jackson's theorem for compact connected Lie groups.
*Journal of Approximation Theory*,
55
(1988),
352–359.
MR89j:43008

**C1.**
Dancer EN**:**
Multiple solutions of asymptotically homogeneous problems.
*Annali di Matematica*,
152
(1988),
63–78.
MR90i:35095

**C1.**
Dancer EN**:**
The effect of domain shape on the number of solutions of weakly nonlinear elliptic equations.
*Journal of Differential Equations*,
74
(1988),
120–156.
MR89h:35256

**C1.**
Dancer EN**:**
A note on an equation with critical exponent.
*The Bulletin of the London Mathematical Society*,
20
(1988),
600–602.
MR90e:35011

**C1.**
Dimca A**:**
On analytic abelian coverings.
*Mathematische Annalen*,
279
(1988),
501–515.
MR89c:32020

**C1.**
Du J**:**
The decomposition into cells of the affine Weyl group of type \(\tilde B_3\).
*Communications in Algebra*,
16
(1988),
384–404.

**C1.**
Du J**:**
Two-sided cells of the affine Weyl group of type \(\tilde C_3\).
*Journal of the London Mathematical Society*,
38
(1988),
87–98.
MR89j:20057

**C1.**
Easdown D**:**
The minimal faithful degree of a semilattice of groups.
*Journal of the Australian Mathematical Society*,
(Series A),
45
(1988),
341–350.
MR89j:20073

**C1.**
Easdown D**:**
Biorder preserving coextensions of fundamental semigroups.
*Proceedings of the Royal Society of Edinburgh*,
Section A. Mathematics,
31
(1988),
463–467.
MR0969075

**C1.**
Easdown D**:**
Modelling Human Thought Processes.
*Curtin Gazette*,
1
(1988)

**C1.**
Easdown D and Praeger CE**:**
On minimal faithful permutation representations of finite groups.
*Bulletin of the Australian Mathematical Society*,
38
(1988),
207–220.
MR89i:20007

**C1.**
Glasby SP**:**
Constructing normalizers in finite soluble groups.
*Journal of Symbolic Computation*,
5
(1988),
285–294.
MR90f:68092

**C1.**
Glasby SP**:**
Intersecting subgroups in finite soluble groups.
*Journal of Symbolic Computation*,
5
(1988),
295–301.
MR90f:68093

**C1.**
Hall P and Seneta E**:**
Products of independent normally attracted random variables.
*Probability Theory and Related Fields*,
78
(1988),
135–142.
MR89e:60044

**C1.**
Hillman JA**:**
Two-knot groups with torsion free abelian normal subgroups of rank two.
*Commentarii Mathematici Helvetici*,
63
(1988),
664–671.
MR90a:57033

**C1.**
Hillman JA and Kearton C**:**
Seifert matrices and 6-knots.
*Transactions of the American Mathematical Society*,
309
(1988),
843–857.
MR89j:57015

**C1.**
Holst L, Kennedy JE and Quine MP**:**
Rates of Poisson convergence for some coverage and urn problems using coupling.
*Journal of Applied Probability*,
25
(1988),
717–724.
MR89i:60021

**C1.**
Howlett RB**:**
On the Schur multipliers of Coxeter groups.
*Journal of the London Mathematical Society*,
Second Series,
38
(1988),
263–276.
MR90e:20010

**C1.**
Howlett RB and Lehrer GI**:**
On the integral group algebra of a finite algebraic group.
*Astérisque*,
168
(1988),
141–155.
MR91b:20063

**C1.**
Hutchinson TP**:**
Inter-observer agreement about traffic conflicts: A fourth opinion.
*Traffic Engineering and Control*,
29
(1988),
235–237.

**C1.**
Ivers DJ and James RW**:**
An antidynamo theorem for nearly symmetry flows.
*Geophysical and Astrophysical Fluid Dynamics*,
44
(1988),
271–278.
MR90g:85005

**C1.**
Ivers DJ and James RW**:**
Antidynamo theorems for non-radial flows.
*Geophysical and Astrophysical Fluid Dynamics*,
40
(1988),
147–163.
MR89c:76116

**C1.**
Joshi N and Kruskal MD**:**
An asymptotic approach to the connection problem for the first and the second Painlevé equations.
*Physics Letters. A*,
130
(1988),
no.3,
129–137.
MR0948427

**C1.**
Kantor WM and Taylor DE**:**
Polynomial-time versions of Sylow's theorem.
*Journal of Algorithms*,
9
(1988),
1–17.
MR89h:20004

**C1.**
Kelly GM and Albert MH**:**
The closure of a class of colimits.
*Journal of Pure and Applied Algebra*,
51
(1988),
1–17.
MR89g:18003a

**C1.**
Kelly GM and Paré R**:**
A note on the Albert-Kelly paper "The closure of a class of colimits".
*Journal of Pure and Applied Algebra*,
51
(1988),
19–25.
MR89g:18003b

**C1.**
Klotz AH**:**
Plane waves in the generalized field theory.
*Acta Physica Polonica. A*,
B19
(1988),
533–553.

**C1.**
Klotz AH**:**
On the nature of quantum mechanics.
*Synthese*,
77
(1988),
139–193.
MR90e:81015

**C1.**
Kuo TC and Trotman DJA**:**
On (\(w\)) and (\(t^s\))-regular stratification.
*Inventiones Mathematicae*,
92
(1988),
633–643.
MR89h:58014

**C1.**
Lehrer GI**:**
On the cohomology of hyperoctahedral hyperplane complements.
*Proceedings of Symposia in Pure Mathematics*,
47
(1988),
219–234.
MR89g:20079

**C1.**
Lehrer GI**:**
A survey of Hecke algebras and the Artin braid groups.
*Contemporary Mathematics*,
78
(1988),
365–385.
MR89m:20043

**C1.**
Lites BW, Skumanich A, Rees DE and Murphy GA**:**
Stokes Profile Analysis and Vector Fields. IV. Synthesis and Inversion of the Chromospheric Mg 1 \(b\) Lines.
*Astrophysical Journal*,
330
(1988),
493–512.

**C1.**
Luckock HC, Moss IG and Toms DJ**:**
Polyakov Strings in Background Fields: Wave Functions and Quantum Cosmology.
*Nuclear Physics. B*,
B297
(1988),
748–764.
MR89e:81115

**C1.**
Macaskill C and Kachoyan BJ**:**
Numerical evaluation of the statistics of acoustic scattering from a rough surface.
*Journal of the Acoustical Society of America*,
84
(1988),
1826–1835.

**C1.**
Mack JM**:**
A note on sine, cosine, and tangent.
*Reflections*,
13
(1988),
45–47.

**C1.**
Mack JM**:**
Scaling: how it really works.
*The Graduate Connection*,
1
(1988),
5–9.

**C1.**
McCaskill JS and Fackerell ED**:**
Painlevé solution of the Poisson-Boltzmann equation for a cylindrical poly-electrolyte in excess salt solution.
*Journal of the Chemical Society F2*,
84
(1988),
161–179.

**C1.**
McMullen JR**:**
Duality for compact connected groups and semisimple Lie Algebras.
*Rendiconti del Seminario Matematico e Fisico di Milano*,
55
(1988),
9–14.
MR89f:22086

**C1.**
Nesis A, Durrant CJ and Mattig W**:**
Overshoot of horizontal and vertical velocities in the deep solar atmosphere.
*Astronomy and Astrophysics*,
201
(1988),
153–160.

**C1.**
Palmer WD and Seberry J**:**
Bhaskar-Rao designs over small groups.
*Ars Combinatoria*,
26A
(1988),
125–148.
MR90a:05039

**C1.**
Parusiński A**:**
Lipschitz properties of semi-analytic sets.
*Annales de l'Institut Fourier*,
38
(1988),
189–213.
MR0978246

**C1.**
Parusiński A**:**
Regular projections for sub-analytic sets.
*Comptes Rendus de l'Académie des Sciences*,
Série I. Mathématique,
307
(1988),
343–347.
MR89k:32012

**C1.**
Parusiński A**:**
A generalization of the Milnor number.
*Mathematische Annalen*,
281
(1988),
247–254.
MR89k:32023

**C1.**
Peiris MS**:**
On the study of some functions of Multivariate ARMA processes.
*Journal of Multivariate Analysis*,
25
(1988),
no.1,
146–151.
MR89d:62094

**C1.**
Peiris MS and Perera BJC**:**
On the prediction with fractionally differenced ARMA models.
*Journal of Time Series Analysis*,
9
(1988),
215–220.
MR90a:62250

**C1.**
Rees DE, Murphy GA and Durrant CJ**:**
Stokes profile analysis and vector magnetic fields II. Formal numerical solutions of the Stokes transfer equations.
*Astrophysical Journal*,
339
(1988),
1093–1106.

**C1.**
Robinson J**:**
Discussion of P. Hall's "Theoretical comparison of bootstrap confidence intervals".
*The Annals of Statistics*,
16
(1988),
976–977.

**C1.**
Rosenberg S, Weber NC and Rosenberg M**:**
Essais de production de suites aléatoires chez des personnes normales, alcoliques et schizophrenes.
*Journées d'Informatique Médicale de Montpellier*,
(1988),
383–394.

**C1.**
Seneta E**:**
Degree, iteration and permutation in improving Bonferroni-type bounds.
*The Australian Journal of Statistics*,
30A
(1988),
27–38.

**C1.**
Seneta E**:**
Silhouettes in early Australian statistics.
*The Australian Journal of Statistics*,
30B
(1988),
2–22.
MR90a:01084

**C1.**
Seneta E**:**
Perturbation of the stationary distribution measured by ergodicity coefficients.
*Advances in Applied Probability*,
20
(1988),
228–230.
MR89c:60076

**C1.**
Seneta E**:**
Sensitivity to perturbation of the stationary distribution: some refinements.
*Linear Algebra and its Applications*,
108
(1988),
121–126.
MR90a:60122

**C1.**
Streater A, Cooper J and Rees DE**:**
Transfer and Redistribution of Polarized Light in Resonance Lines. I. Quantum Formulation with Collisions.
*Astrophysical Journal*,
335
(1988),
503–515.

**C1.**
Sun SH**:**
A localic approach to minimal prime spectra.
*Mathematical Proceedings of the Cambridge Philosophical Society*,
103
(1988),
47–53.
MR88j:06035

**C1.**
Sun SH**:**
Two new topological cardinal inequalities.
*Proceedings of the American Mathematical Society*,
104
(1988),
313–316.
MR89g:54011

**C1.**
Sun SH**:**
The class of \(\aleph\)-spaces is invariant of closed mapping with Lindelöf fibres.
*Commentationes Mathematicæ Universitatis Carolinæ*,
29
(1988),
351–354..
MR0957403

**C1.**
Sun SH and Wang YM**:**
On two questions of \(D\)-completely regular spaces.
*Questions and Answers in General Topology*,
6
(1988),
73–80.
MR89g:54052

**C1.**
Thompson RS, Trudinger BJ and Cook CM**:**
Doppler ultrasound waveform indices. AB ratio, pulsatility index and Pourcelot ratio.
*British Journal of Obstetrics and Gyncecology*,
95
(1988),
581–588.

**C1.**
Thompson RS, Trudinger BJ and Cook CM**:**
The effect of fetal heart rate on umbilical artery flow velocity waveforms.
*British Journal of Obstetrics and Gyncecology*,
95
(1988),
316–317.

**C1.**
Thompson RS, Trudinger BJ, Cook CM and Giles WB**:**
Umbilical artery velocity waveforms: normal reference values for the AB ration and Pourcelot ratio.
*British Journal of Obstetrics and Gyncecology*,
95
(1988),
589–591.

**C1.**
Trudinger BJ, Cook CM, Thompson RS, Giles WB and Connelly AJ**:**
Low-dose aspirin improves fetal weight in umbilical placental insufficiency.
*Lancet*,
ii
(1988),
214–215.

**C1.**
Trudinger BJ, Cook CM, Thompson RS, Giles WB and Connelly AJ**:**
Low dose aspirin therapy improves fetal weight in umbilical placental insufficiency.
*American Journal of Obstetrics and Gyncecology*,
159
(1988),
681–685.

**C1.**
Wilson PR**:**
Solar Cycle Workshop, Second Meeting (A Review).
*Solar Physics*,
117
(1988),
205–215.

**C1.**
Wilson PR, Altrock RC, Harvey KL, Martin SF and Snodgrass HB**:**
The extended solar activity cycle.
*Nature*,
333
(1988),
748.

## Encyclopaedia Entries

**D.**
Seneta E**:**
Vestnik Statistiki,
*Encyclopedia of Statistical Sciences.*
Kotz S, Johnson NL eds (ed.),
**9**,
J. Wiley and Sons, New York,
1988,
496.

**D.**
Seneta E**:**
Yanson (Jahnson). Yulii Eduardovich,
*Encyclopedia of Statistical Sciences.*
Kotz S, Johnson NL eds (ed.),
**9**,
J. Wiley and Sons, New York,
1988,
658–659.

## Conference Proceedings

**E1.**
Butler G and Cannon JJ
(1988)
Cayley version 4: The user language.
*International Symposium on Symbolic and Algebraic Computation, Rome, July 4–8, 1988*,
*Proceedings of the 1988 International Symposium on Symbolic and Algebraic Computation*,
Gianni P (ed) (ed.) ,
Lecture Notes in Computer Science,
**358**
MR1053754

**E1.**
Butler G and Cannon JJ
(1988)
The design of Cayley — A language for modern algebra.
*Proceedings of the ACM SIGPLAN 88 Conference on Programming Language Design. Atlanta, Georgia*
MR1053754

**E1.**
Macaskill C
(1988)
Wave propagation in a randomly varying medium using a numerical approach.
*Proceedings of Computational Techniques and Applications: CTAC-87*,
Noye J, Fletcher C eds (ed.) ,
North-Holland, Amsterdam,
439–448.

**E1.**
Mack JM
(1988)
Report on Action Group 5: Tertiary (Post-Secondary) Academic Institutions.
*Proceedings of the Sixth International Congress on Mathematical Education*,
159–176.

**E1.**
Parusiński A
(1988)
Lipschitz stratification of real analytic sets.
*Singularities*,
Łojasiewicz S ed (ed.) ,
Banach Center Publications,
Polskie Wydawnictwo Naukowe, Warszawa,
**XX**,
323–333.
MR1101849

**E1.**
Sun SH and Johnstone PT
(1988)
Weak products and Hausdorff locales.
Lecture Notes in Mathematics,
**1348**,
273–293.

## Computer Software

**G1.**
Cannon JJ and et al
(1988)
Cayley V3.6.
(As for V3.3 plus modular representation theory; 230,000 lines of C code.)
.

## Other Output

**OT.**
Mack JM
(1988)
A personal response to the Green Paper.
(submitted to the Hon. J.S. Dawkins, April, 1988)

## Unpublished Conference Proceedings

**UN.**
Ball GR
Facing the gifted student.
*Australian Association of Mathematics Teachers Biennial Conference, Newcastle 1988*
.

**UN.**
Cannon JJ
An introduction to the modern algebra system Cayley.
*Belgium Conference on Computer Algebra, Ghent 1988*
.

**UN.**
Cannon JJ
Overview of the algebra system Cayley V4.
*Conference on Computational Group Theory, Oberwolfach 1988*
.

**UN.**
Cannon JJ
Recent development in computational group theory.
*Conference on Constructive Algebraic Number Theory, Oberwolfach 1988*
.

**UN.**
Eyland RW
Mathematics in 1788.
*Australian Association of Mathematics Teachers Biennial Conference, Newcastle 1988*
.

**UN.**
Field MJ
New examples of symmetry breaking and the distribution of symmetry breaking isotropy types.
*Cornell Mathematical Sciences Institute Workshop on Symmetry and Groups in Non-linear Continuum Mechanics, Cornell 1988*
.

**UN.**
Galloway DJ
The ABC flow and the kinematic dynamo.
*Conference on Turbulence and non-linear dynamics of MHD flows, Cargèse, Corsica 1988*
.

**UN.**
Galloway DJ
Pattern selection in the sun's convection zone.
*Astron. Soc. Aust. 22nd AGM Narrabri 1988*,
Poster paper
.

**UN.**
Karlov L
Is another scientific revolution immanent?
*Science Conference, ESTO '88, Melbourne 1988*
.

**UN.**
Kelly GM
Two-dimensional monad theory.
*Australian National Mathematical Sciences Bicentennial Congress, Canberra 1988*
.

**UN.**
Kelly GM
On 2-categorical limits.
*International Meeting on Category Theory, University of Sussex 1988*
.

**UN.**
Kuo TC
Reducibility and irreducibility in \(\mathbb{C}[[x,y]]\).
*Australian National Mathematical Science Bicentennial Congress, Canberra 1988*
.

**UN.**
Macaskill C and Kachoyan BJ
Acoustic scattering at the sea surface.
*Austr. Physical Oceanography Conference, Sydney 1988*
.

**UN.**
Macaskill C and Kachoyan BJ
Acoustic scattering from rough surfaces.
*25th Austr. Appl. Maths. Conference, Ballarat 1988*
.

**UN.**
Rees DE
A Mathematical Olympiad.
*Mathematical Association of NSW, Talented Students Day (June 1988)*
.

**UN.**
Rosenberg S and Weber NC
A multivariate approach to random number generation applied to normal, alcoholic and schizophrenic subjects.
*24th International Congress of Psychology, Sydney*
.

**UN.**
Taylor DE
A species proof of the cyclotomic identity.
*Australian National Mathematical Sciences Bicentennial Congress, Canberra 1988*
.

**UN.**
Taylor DE
Combinatorial interpretation of Witt vectors.
*Sixth Annual Algebra Conference of Victoria*
.

**UN.**
Wall GE
Burnside varieties and Lie rings.
*Australian National Mathematical Sciences Bicentennial Congress, Canberra 16–20 May 1988*
.

**UN.**
Walters RFC
Categorical analysis of digital circuits.
*International Meeting on Category Theory, University of Sussex 1988*
.