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Volume 98

The Mathematical Gazette

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Volume 98 - July 2014

Notes

98.10 Associativity of symmetric set difference

98.24 An intriguing inequality

98.03 Explicit solutions of φ (m) = k!

98.04 A nested radical for the Euler constant

98.11 Rearranging the signs of the alternating harmonic series

98.25 An ancient approximation to the sine function

98.26 Algorithms for |x| and [x]

98.05 Another minimum for the triangle

98.12 A convergent series with zero sum

98.27 Necessary conditions for the convergence of series of positive terms

98.06 The relative size of the squares inscribed in a triangle

98.13 Some double series related to ζ(3)

98.28 If e < 2 then π is irrational

98.07 The order of convergence of Newton's Method in special cases

98.14 An unexpected closed form

98.29 Symmetry of continued fraction for

98.08 The moment of inertia of an elliptical wire

98.15 A class of dense subsets on the real line

98.30 The isoperimetric inequality for quadrilaterals

98.16 A variation of Miquel's theorem and its generalisation

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Volume 98 - July 2014

Notes