Notes
108.05 Ramanujan’s proof of Bertrand’s postulate
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- 15 February 2024, pp. 130-134
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108.24 Covering a triangular number with heptagonal numbers
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- 23 August 2024, pp. 325-326
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108.25 A pair of interesting inequalities for ex
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- 23 August 2024, pp. 326-328
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108.06 Simple bounds on a sum pertinent to primes
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- 15 February 2024, pp. 135-136
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108.07 De Moivre’s theorem via difference equations
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- 15 February 2024, pp. 136-140
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108.26 PWW: A property of triangular numbers
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- 23 August 2024, p. 329
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108.08 Cone and Integral
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- 15 February 2024, pp. 140-142
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108.27 More on the Euler limit for e
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- 23 August 2024, pp. 329-331
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108.09 A visual proof that be < eb when b > e
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- 15 February 2024, p. 143
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108.28 π is a mean of 2 and 4
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- 23 August 2024, pp. 331-334
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108.10 Proof without words: ${\rm{tan }}{\pi\over {{\rm{12}}}}{\rm{=2 - }}\sqrt 3 {\rm{, tan }}{{{\rm{5}}\pi } \over {{\rm{12}}}}{\rm{=2 + }}\sqrt {\rm{3}} $
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- 15 February 2024, pp. 143-144
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108.29 A geometric mean–arithmetic mean ratio limit
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- 23 August 2024, pp. 334-335
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108.30 Nearly isosceles right-angled triangles and square triangular numbers
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- 23 August 2024, pp. 336-338
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108.11 Euler’s limit—revisited
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- 15 February 2024, pp. 144-145
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108.12 Proof without words: a lower bound for n!
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- 15 February 2024, p. 146
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108.31 Generalised Thales intercept theorem
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- 23 August 2024, pp. 338-341
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108.13 Indeterminate exponentials without tears
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- 15 February 2024, pp. 146-148
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108.32 Point masses and polygons
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- 23 August 2024, pp. 342-345
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108.33 Some inequalities for a triangle
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- 23 August 2024, pp. 345-348
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108.14 A triangle number identity
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- 15 February 2024, p. 148
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