/sci/ - Science & Math

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Anonymous Mon Nov 22 20:02:32 2010 No.2096917 [Reply] [Original]

Hi /creationism/.

Let x be an irrational number and Z the set of integers.

Show that the set Z + xZ := { a + xb | a, b in Z } is a countable dense subset of the reals.

>>	Anonymous Mon Nov 22 20:03:32 2010 No.2096921 >>2096917 -that

>>	Anonymous Mon Nov 22 20:04:32 2010 No.2096927 That picture is extremely offensive.

>>	Anonymous Mon Nov 22 20:05:32 2010 No.2096930 File: 59 KB, 412x622, 1290322473060.jpg [View same] [iqdb] [saucenao] [google] >>2096927

>>	Anonymous Mon Nov 22 20:07:32 2010 No.2096940 btw this isn't homework. I just found that exercise in my baby Rudin and found it to be particularly awesome. Just imagine, I can approximate every real number arbitrarily by some linear integer combination of some irrational number.

>>	Anonymous Mon Nov 22 20:14:32 2010 No.2096966 bump because this shit is more science than this motherfucking board has ever seen.

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