Comments for Numbers and Shapes
http://numbersandshapes.net
Various things, mostly mathematicalFri, 23 Sep 2016 00:43:58 +0000hourly1https://wordpress.org/?v=4.7.2Comment on The derivative of sin(x) by David
http://numbersandshapes.net/2016/03/the-derivative-of-sinx/#comment-48167
Fri, 23 Sep 2016 00:43:58 +0000http://numbersandshapes.net/?p=1855886#comment-48167Excellent geometric proof! I like to dabble in these myself, as I’m just learning about Calculus in school at the moment. Great to see someone dissecting these, very inspiring.
]]>Comment on The derivative of sin(x) by Jack
http://numbersandshapes.net/2016/03/the-derivative-of-sinx/#comment-45254
Tue, 28 Jun 2016 05:14:54 +0000http://numbersandshapes.net/?p=1855886#comment-45254Excellent! I once tried to find a geometric explanation while in the shower, but it didn’t seem trivial . This is nice and makes sense.
Note, there seems to be a typo on your line for lim h-> 0 sin h/h
]]>Comment on Curious results of an incorrect “theorem” by Arrigo
http://numbersandshapes.net/2015/11/curious-results-of-an-incorrect-theorem/#comment-40464
Thu, 03 Mar 2016 12:14:39 +0000http://numbersandshapes.net/?p=73899#comment-40464Make that, “all four of you!”
]]>Comment on Tuning and temperaments by Tuning and Temperaments (2): Intervals and Pythagorean tuning | Numbers and Shapes
http://numbersandshapes.net/2016/02/tuning-and-temperaments/#comment-39587
Sat, 13 Feb 2016 03:59:02 +0000http://numbersandshapes.net/?p=1152180#comment-39587[…] Previous Post Previous post: […]
]]>Comment on The birthday problem, and a generalization by amca01
http://numbersandshapes.net/2011/04/the-birthday-problem-and-a-generalization/#comment-38845
Tue, 26 Jan 2016 10:47:25 +0000http://amca01.wordpress.com/?p=1264#comment-38845They didn’t display properly at all! When I migrated from wordpress.com to this self-hosted wordpress.org server, all the backslashes in my LaTeX formulas were removed (I don’t know why), so that, for example: \sum\frac{\pi}{\pi+n} came across as sumfrac{pi}{pi+n}. I’m slowly working my way through old posts and tidying them up. So thanks for letting me know!
]]>Comment on The birthday problem, and a generalization by Anonymous
http://numbersandshapes.net/2011/04/the-birthday-problem-and-a-generalization/#comment-38810
Mon, 25 Jan 2016 18:08:31 +0000http://amca01.wordpress.com/?p=1264#comment-38810Is it just me, or the equations here don’t show up as expected?
]]>Comment on Easy Simpson’s rule by amca01
http://numbersandshapes.net/2013/04/easy-simpsons-rule/#comment-38781
Mon, 25 Jan 2016 07:51:43 +0000http://amca01.wordpress.com/?p=2104#comment-38781Thanks – in fact the problem is that when I imported all my posts from wordpress.com to this wordpress.org blog, the LaTeX backslashes were all removed – which of course means that most mathematics is not properly typeset. So every now and again I fix up a blog post.
]]>Comment on Easy Simpson’s rule by willis
http://numbersandshapes.net/2013/04/easy-simpsons-rule/#comment-38780
Mon, 25 Jan 2016 07:30:09 +0000http://amca01.wordpress.com/?p=2104#comment-38780Some of your equations do not seem to be forming correctly: perhaps you should reconsider what your software formats them as.
]]>Comment on Chebyshev approximation and Clenshaw-Curtis quadrature by Pavel Holoborodko
http://numbersandshapes.net/2015/11/chebyshev-approximation-and-clenshaw-curtis-quadrature/#comment-38575
Fri, 15 Jan 2016 09:48:43 +0000http://numbersandshapes.net/?p=50604#comment-38575I guess the Newton-Cotes rules are nice formulas to experiment with.

Btw, the post you give link to has 2 spam comments in Russian (which I happen to know) – you can delete them.

]]>Comment on Chebyshev approximation and Clenshaw-Curtis quadrature by amca01
http://numbersandshapes.net/2015/11/chebyshev-approximation-and-clenshaw-curtis-quadrature/#comment-38573
Fri, 15 Jan 2016 04:14:06 +0000http://numbersandshapes.net/?p=50604#comment-38573Thanks for your comments – and for the links! Also note that some years ago I wrote a small blog post: http://numbersandshapes.net/?p=369 about adjusting Newton-Cotes rules by finite differences to obtain simpler formulas. However, your own posts look mathematically more complete than mine!
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