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Volume 82

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Volume 82 - March 1998

Notes

82.12 Finite sums of powers of the natural numbers

82.55 New Fibonacci and Lucas identities

82.56 More on Stirling’s formula

82.13 Generalised Fibonacci matrices

82.30 A conjecture and an unusual kind of inductive step

82.14 Equivalence classes and a familiar combinatorial identity

82.57 The seminal Pythagorean triple (0,1,1)

82.15 Four square roots of the vector cross product

82.58 A further look at Pythagoras

82.31 A geometrical proof of a trigonometric inequality

82.59 Simple tests for small integer factors

82.16 A mathematical problem from the autobiography of John Stuart Mill

82.60 A new look at solving Torricelli’s problem

82.17 On the theorem of means: is G nearer A or H?

82.18 The volume of the n-ball – I

82.32 On associativity and commutativity

Obituaries

Dame Mary Cartwright 1900–1997

Sir James Lighthill F.R.S. 1924–1998

Notes

82.19 The volume of the n-ball – II

82.33 Totally non-commutative systems

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Volume 82 - March 1998

Notes

Obituaries

Notes