# Research Publications for 1987

## Books

A1. Dimca A: Topics on Real and Complex Singularities. Vieweg Advanced Lectures in Mathematics, Friedr. Vieweg & Sohn, Braunscheig, 1987. MR1013785

A2. Walters RFC and Wehrhahn KH: Calculus I. Carslaw Publications, 1987.

## Chapters in Books

B1. 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: 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: 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: 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. Barnes DW: On Carlson's spectral sequence. Journal of Pure and Applied Algebra, 48 (1987), 221–222. MR89c:20075

C1. 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: Completeness of locally-internal categories. Journal of Pure and Applied Algebra, 47 (1987), 105–117. MR88i:18005

C1. Borceux F and 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: An axiomatics for bicategories of modules. Journal of Pure and Applied Algebra, 45 (1987), 127–141. MR88c:18002

C1. Carboni A and 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: 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: 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: 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: 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: 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: Characterization theorems for compact hypercomplex manifolds. Journal of the Australian Mathematical Society, 43 (1987), 231–245. MR88j:32038

C1. Dimca A and 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: Hypersurface singularities, codimension two complete intersections and tangency sets. Geometriæ Dedicata, 24 (1987), 255–260. MR0914821

C1. Dimca A and 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: 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: 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: A note on simultaneous inference with randomization tests. Communications in Statistics. Theory and Methods, 16 (1987), 2007–1025.

C1. 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: 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: Augmented truncations of infinite stochastic matrices. Journal of Applied Probability, 24 (1987), 600–608. MR88k:60122

C1. Gibson D and Seneta E: Monotone infinite stochastic matrices and their augmented truncations. Stochastic Processes and their Applications, 24 (1987), 287–292. MR89h:60110

C1. 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: 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: The kernel of integral cup product. Journal of the Australian Mathematical Society, 43 (1987), 10–15. MR88f:20066

C1. Hillman JA: 3-Dimensional Poincaré duality groups which are extensions. Mathematische Zeitschrift, 195 (1987), 89–92. MR88m:57022

C1. Hirschfeld JWP and 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: Embeddings of Hecke Algebras in group algebras. Journal of Algebra, 105 (1987), 159–174. MR88c:20019

C1. 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: 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: 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: Adjoint-triangle theorems for conservative functors. Bulletin of the Australian Mathematical Society, 36 (1987), 133–136. MR88k:18005

C1. Johnson M and 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: 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: Acoustic scattering from an arbitrarily rough surface. Journal of the Acoustical Society of America, 82 (1987), 1720–1726.

C1. Karlov L: Clocks in non-standard synchrony. General Relativity and Gravitation, 19 (1987), 455–464. MR88h:83007

C1. Kelly GM: On the ordered set of reflective subcategories. Bulletin of the Australian Mathematical Society, 36 (1987), 137–152. MR88k:18006

C1. Kuchel PW, Bulliman BT and 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: 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: 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: Mathematics Education into the Twenty-first Century. Curriculum Focus K-6, 7 (1987), 99–109. (Catholic Education Office, Sydney)

C1. Mack JM: Computers and Mathematics. Australian Mathematical Society Gazette, 14 (1987), 13–14.

C1. Madan DB and 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: 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: 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: The concept of multiset. Zeitschrift für Mathematische Logik und Grundlagen der Mathematik, 33 (1987), 171–178. MR89b:04003

C1. O'Brian NR: Geometry of twisting cochains. Compositio Mathematica, 63 (1987), 41–62. MR89h:58176

C1. Paunescu L: Equivariant Maps for Properly Discontinuous Actions. Studii și Cercetări Matematice. Mathematical Reports, 39 (1987), 147–155. MR88k:57050

C1. Paunescu L: The Natural Transformations of the Complex K-Theory. Studii și Cercetări Matematice. Mathematical Reports, 39 (1987), 382–384. MR89a:55033

C1. 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: 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: 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: On prediction of multivariate ARMA processes with a time dependent covariance structure. Communications in Statistics. Theory and Methods, 17 (1987), 27–37. MR0951704

C1. Peiris MS 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. Quine MP and 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: Bonferroni-type inequalities. Advances in Applied Probability, 19 (1987), 508–511. MR88g:60029

C1. Robinson J: Conditioning ratio estimates under simple random sampling. Journal of the American Statistical Association, 82 (1987), 826–831. MR88h:62016

C1. Ryan AJ: Hypercomplex algebras, hypercomplex analysis and conformal invariance. Compositio Mathematica, 61 (1987), 61–80. MR88j:30095

C1. 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: 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: Discussion of D. A. Freeman's "As Others See Us \dots ". Journal of Educational Statistics, 12 (1987), 198–201.

C1. Seneta E: Multivariate probability in terms of marginal probability and correlation coefficient. Biometrical Journal, 29 (1987), 375–380. MR88g:62042

C1. 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: Torsional oscillations as a signature of giant cells. Nature, 328 (1987), 696.

C1. Stening RJ and 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: Night-time geomagnetic variations at low latitudes. Planet. Space Sci., 12 (1987), 1523–1539.

C1. Sun SH: A note on Arhangelski's inequality. Journal of the Mathematical Society of Japan, 39 (1987), 363–366. MR88k:54004

C1. 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: On some questions of T. Noiri. Questions and Answers in General Topology, 5 (1987), 259–260. MR0917883

C1. Taylor DE: Pairs of generators for matrix groups I. The Cayley Bulletin, 3 (1987), 76–85.

C1. Taylor DE: Puzzles, groups and groupoids. Reflections, 12 (1987), 150–156.

C1. Thompson RS: Blood flow velocity waveforms. Seminars in Perinatology, 11 (1987), 300–310.

C1. Thompson RS and Trudinger BJ: 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: 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: 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: The histogram and some new techniques for data presentation. Reflections, 12 (1987), 70–76.

C1. Wilson PR: Solar rotation and giant cells. Solar Physics, 110 (1987), 59–72.

C1. Wilson PR: Solar cycle workshop, first meeting (a review). Solar Physics, 110 (1987), 1–10.

C1. Winch DE: The interdivisional commission: external/internal geomagnetic relations. IAGA News, 26 (1987), 67–75.

C1. Winch DE: Geomagnetic variations. The Observatory, 107 (1987), 103–105.

C1. Winch DE: International geomagnetic reference field revision 1987, IAGA Division I working Group I. IAGA News, 26 (1987), 87–92.

C1. 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: Evaluation of IGRF candidate models over the Australian region. Physics Earth Planet International, 48 (1987), 338–343.

## Conference Proceedings

E1. Kuo TC (1987) A natural equivalence relation of singularities. Singularities, Banach Centre Publications, 20 MR0929183

E1. 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 (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 (1987) The sunspot cycle: tip of the iceberg. Sky and Telescope, 73, 589–591.

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

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

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

## Unpublished Conference Proceedings

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

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

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

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

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

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

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