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Math brain teaser
12-28-2013, 04:31 AM
Post: #13
RE: Math brain teaser
(12-28-2013 02:03 AM)Les_Koller Wrote:  I ask for p(a), then p(p(a)). Alternatively, ask for p(pi). IF the computer absolutely HAS to deliver exact answers, you will get your answer quickly. For instance, if P = 13x^4 + 10x^2 + x + 8, you get 13 pi^4 + 10 pi^2 + pi + 8.
(12-28-2013 02:45 AM)Paul Dale Wrote:  p(a) and p(p(a)) doesn't quite work. Take a polynomial where p(a) = a. The second evaluation produces no new information and you cannot distinguish between p(x) = x and p(x) = a.
Let me modify Les' solution a bit: I'd ask for p(pi) and p(e). So I'd get two answers allowing me to exclude the case Pauli mentioned. Thanks, Les, for the basic idea!

d:-)
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Messages In This Thread
Math brain teaser - Han - 12-27-2013, 05:18 AM
RE: Math brain teaser - Les_Koller - 12-27-2013, 05:54 AM
RE: Math brain teaser - Les_Koller - 12-27-2013, 07:41 AM
RE: Math brain teaser - Namir - 12-27-2013, 01:24 PM
RE: Math brain teaser - Han - 12-27-2013, 05:29 PM
RE: Math brain teaser - Thomas Klemm - 12-27-2013, 05:56 PM
RE: Math brain teaser - Han - 12-27-2013, 06:13 PM
RE: Math brain teaser - Namir - 12-27-2013, 10:02 PM
RE: Math brain teaser - Paul Dale - 12-27-2013, 10:52 PM
RE: Math brain teaser - Thomas Klemm - 12-28-2013, 11:20 AM
RE: Math brain teaser - Han - 12-27-2013, 11:00 PM
RE: Math brain teaser - Les_Koller - 12-28-2013, 02:03 AM
RE: Math brain teaser - Paul Dale - 12-28-2013, 02:45 AM
RE: Math brain teaser - walter b - 12-28-2013 04:31 AM
RE: Math brain teaser - Thomas Klemm - 12-28-2013, 11:11 AM
RE: Math brain teaser - walter b - 12-28-2013, 12:17 PM
RE: Math brain teaser - Thomas Klemm - 12-28-2013, 12:55 PM
RE: Math brain teaser - Paul Dale - 12-28-2013, 11:58 AM
RE: Math brain teaser - Les_Koller - 12-28-2013, 09:21 PM
RE: Math brain teaser - Thomas Klemm - 12-29-2013, 12:10 AM
RE: Math brain teaser - Les_Koller - 12-29-2013, 01:46 AM
RE: Math brain teaser - Thomas Klemm - 12-29-2013, 08:33 AM
RE: Math brain teaser - Les_Koller - 12-29-2013, 01:50 AM
RE: Math brain teaser - Paul Dale - 12-29-2013, 01:54 AM
RE: Math brain teaser - Thomas Klemm - 12-29-2013, 11:25 AM
RE: Math brain teaser - Les_Koller - 12-29-2013, 01:58 AM
RE: Math brain teaser - Les_Koller - 12-29-2013, 05:52 PM



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