Comments for A Convex Lens
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Fri, 12 Aug 2016 17:40:52 +0000hourly1https://wordpress.org/?v=4.8Comment on Russian peasant multiplication and loop invariants by Carlos Eduardo Olivieri
http://www.convex.org/russian-peasant-multiplication-and-loop-invariants/#comment-868
Fri, 12 Aug 2016 17:40:52 +0000http://www.convex.org/wp/?p=134#comment-868Excellent, Dr. David. Thanks.
]]>Comment on The crocodile problem by David Radcliffe
http://www.convex.org/the-crocodile-problem/#comment-239
Sat, 10 Oct 2015 04:01:34 +0000http://www.convex.org/?p=234#comment-239More generally, the expression \(\sqrt{x^2+a}\) can be rationalized by means of the substitution \(x = u – a/(2u)\). This can be used instead of trigonometric substitutions for evaluating some integrals.
]]>Comment on The crocodile problem by Can You Solve The Crocodile Maths Problem That Stumped Scottish Students? | Mind Your Decisions
http://www.convex.org/the-crocodile-problem/#comment-238
Sat, 10 Oct 2015 02:54:10 +0000http://www.convex.org/?p=234#comment-238[…] Update: You can solve this with a clever substitution, found by David Radcliffe. […]
]]>Comment on Primes with average digit 1 by Carlos Eduardo Olivieri
http://www.convex.org/primes-with-average-digit-1/#comment-11
Thu, 07 May 2015 02:31:07 +0000http://www.convex.org/wp/?p=80#comment-11Very good, Doctor David. Thank you. I have experience with Java, but I’m starting to appreciate Python.
]]>Comment on The square root of 11 by Carlos Eduardo Olivieri
http://www.convex.org/the-square-root-of-11/#comment-9
Tue, 05 May 2015 14:30:46 +0000http://www.convex.org/wp/?p=70#comment-9Very interesting.
]]>Comment on The square root of 11 by John Baez
http://www.convex.org/the-square-root-of-11/#comment-7
Mon, 04 May 2015 23:41:43 +0000http://www.convex.org/wp/?p=70#comment-7It’s fun to distinguish between the proofs that work equally well for any prime number replacing 11, and the proofs that don’t.

Theodorus proved that the square roots of primes up to 17 are irrational, and people like to argue about why he stopped there. It must have something to do with the spiral of Theodorus.

]]>Comment on Mahler’s Quinary Conundrum by dradcliffe@gmail.com
http://www.convex.org/mahlers-quinary-conundrum/#comment-2
Sat, 02 May 2015 18:30:37 +0000http://www.convex.org/wp/?p=18#comment-2This is sequence A230030 in the On-Line Encyclopedia of Integer Sequences.
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