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The Mathematical Gazette Jul 1999

Volume 83 Number 497

Editor Steve Abbott

Contents

Editorial		193
Articles
The origin of Ferrers graphs	Clark Kimberling	194
Anyone for tennis? Mechanics (PDF file 147 KB)	Tom Roper	199
An exploration of hyperpower equations	Roger Voles	210
Moving the first digit of a positive integer to the last	Peter A. Braza and Jingcheng Tong	216
Triangles, surds and Pell's equation	Robert J. Clarke	221
On a driving hazard problem	Yongji Wang and Kaiyuan Cai	226
Student Workshop
Parabolic reflectors	Doug French	237
Matters for debate
Problem-solving? No. Mathematics? Yes!	Derek Holton	237
Notes 83.03 and 83.20 to 83.45
A teaching note on Dijkstra's shortest path algorithm	Ronald Boskovic and Paul Belcher	251
An iterative process in the early slate industry in North Wales	Ll. G. Chambers	254
Volumetric proof of the sum of squares formula	Darrell Desbrow	256
An algorithm for the nth root	Ll. G. Chambers	258
Prime decades	Francis Miles	260
Characterising non-trapezoidal numbers	Chris Jones and Nick Lord	262
Descending to the irrational	Mike Grant and Malcolm Perella	263
More on Estermann and Pythagoras	P. Shiu	267
Integer solutions of a^-2 + b^-2 = d^-2	Roger Voles	269
After Fermat, yet another equation	J. A. Scott	271
The convergence of a Lucas series	Thomas Koshy	272
Generalisation of a radical identity	A. Sofo	274
A Pascal-like triangle for coefficients of Chebyshev polynomials	Alastair MacDougall	276
A geometric construction and its applications	Isao Asiba and Masakazu Nihei	280
Geometry without the cosine rule	John Rigby	283
Morley's other triangles	Robert J. Clarke	286
The complex roots of a quadratic from a circle	Ladislav Beran	287
Almost symmetric polygons: when are they closed?	K. Robin McLean	291
Heron's formula via complex numbers	Karel Stroethoff	292
The 9-pin geoboard and the symmetry group D₄	Bob Burn	293
The throw of a die	Sir Hermann Bondi	296
Rings of winning dice and spinners	Roger Voles	298
Differentiation using the product rule	Brian J. Philp	303
Half-lives and exponential decay	Nick Lord	304
An interesting infinite series	J. A. Scott	305
Evaluation of a definite integral using a Laplace transform	Frank Chorlton	307
A simple introduction to a hyperstatic structure	K. E. Mawardy	308
Correspondence		311
Problem corner	G. T. Q. Hoare	316
Students problems	Tim Cross	322
Other Journals	Anne C. Baker	325
Book Reviews		329

For further information about The Mathematical Gazette please contact the Editor.

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