tag:blogger.com,1999:blog-3722233.post802336375265780217..comments2024-03-02T02:08:38.816-06:00Comments on Computational Complexity: What is the most interesting number ?Lance Fortnowhttp://www.blogger.com/profile/06752030912874378610noreply@blogger.comBlogger17125tag:blogger.com,1999:blog-3722233.post-50244237528691336932009-08-27T18:14:46.507-05:002009-08-27T18:14:46.507-05:00What about the very large number 33773687587693547...What about the very large number 337736875876935471466319632506024463200.00000080231935662524957710441240659. It can be found at OEIS A161771, http://www.research.att.com/~njas/sequences/A161771<br /><br />It involves the 24d space of the Leech Lattice and a square term of 'Ramunujan constant'. It has many interesting properties.mark a. thomasnoreply@blogger.comtag:blogger.com,1999:blog-3722233.post-19916518940832671102009-08-20T19:19:29.099-05:002009-08-20T19:19:29.099-05:00Chaitin is too much in love with himself for anyth...Chaitin is too much in love with himself for anything he says to be taken seriously.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-3722233.post-6931676663320306982009-08-20T11:05:02.937-05:002009-08-20T11:05:02.937-05:00What about Chaitin's Omega? He practically wr...What about Chaitin's Omega? He practically wrote a whole book about it.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-3722233.post-33508386565237945872009-08-20T09:50:22.000-05:002009-08-20T09:50:22.000-05:00The oracle to the halting problem...
...with its ...The oracle to the halting problem...<br /><br />...with its digits alternating with those of pi. (Throw in countably many more numbers if you like.)Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-3722233.post-87741789577610658842009-08-20T05:24:34.171-05:002009-08-20T05:24:34.171-05:00I can't stand the term 'complex numbers...I can't stand the term 'complex numbers'.<br /><br />We don't refer to the elements of other fields as 'numbers'.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-3722233.post-42762626914980181842009-08-19T17:20:46.332-05:002009-08-19T17:20:46.332-05:00I meant to put i after e
I thought that "i&q...<i>I meant to put i after e</i><br /><br />I thought that "i" comes before "e" except when it sounds like "a" as in "neighbor" and "weigh"Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-3722233.post-38613336942585974232009-08-19T15:43:09.519-05:002009-08-19T15:43:09.519-05:00What happened to the pi versus 2pi debate? No one ...What happened to the pi versus 2pi debate? No one is going to claim that 2pi is the most interesting number?Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-3722233.post-88005482462996209012009-08-19T15:27:01.478-05:002009-08-19T15:27:01.478-05:00Omega is an interesting number that has a book wri...Omega is an interesting number that has a book written about it (MetaMath):<br /><br />http://en.wikipedia.org/wiki/Chaitin%27s_constantAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-3722233.post-64072631605821230582009-08-19T14:16:59.599-05:002009-08-19T14:16:59.599-05:00As Harrison said in the last post, 24 is a very in...<i>As Harrison said in the last post, 24 is a very interesting number. There's even a whole TV show about it. =)</i><br /><br />Go leech lattice, go!<br /><br />http://en.wikipedia.org/wiki/Leech_latticeAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-3722233.post-2645152563717818762009-08-19T13:25:57.055-05:002009-08-19T13:25:57.055-05:00WHOOPS- I meant to put i
after e, but this can all...WHOOPS- I meant to put i<br />after e, but this can all be debated, as we are doing.<br /><br />bill g.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-3722233.post-32167783882040837592009-08-19T13:14:54.238-05:002009-08-19T13:14:54.238-05:00As Harrison said in the last post, 24 is a very in...As Harrison said in the last post, 24 is a very interesting number. There's even a whole TV show about it. =)Anonymous Rexnoreply@blogger.comtag:blogger.com,1999:blog-3722233.post-59242051755699972222009-08-19T13:14:44.570-05:002009-08-19T13:14:44.570-05:00I meant "What position on the list is i?"...I meant "What position on the list is i?".Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-3722233.post-39368567951075292552009-08-19T12:51:16.312-05:002009-08-19T12:51:16.312-05:00not the but a complex number such that i^2=-1. Oth...not <i>the</i> but <i>a</i> complex number such that i^2=-1. Otherwise, i=-i.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-3722233.post-52533928314990527912009-08-19T12:28:03.916-05:002009-08-19T12:28:03.916-05:00i is the complex number such that i^2=-1.i is the complex number such that i^2=-1.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-3722233.post-81060495743988039542009-08-19T11:56:29.280-05:002009-08-19T11:56:29.280-05:00What number is i?What number is i?Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-3722233.post-4409170485836915282009-08-19T11:49:42.492-05:002009-08-19T11:49:42.492-05:00I would put the number "2" on the list i...I would put the number "2" on the list in position 5.5, after e and before phi.<br /><br />(1) Where would we be without binary, i.e. 2ary, operators such as "+" and "*"?<br />(2) The constant 2 shows up disproportionately, often indirectly as "even" and "odd".<br />(3) It's the first prime.Unknownhttps://www.blogger.com/profile/01106301822827737278noreply@blogger.comtag:blogger.com,1999:blog-3722233.post-68616166226894057842009-08-19T11:44:20.211-05:002009-08-19T11:44:20.211-05:00This book contains information on many interesting...<a href="http://www.cambridge.org/us/catalogue/catalogue.asp?isbn=0521818052" rel="nofollow">This book</a> contains information on many interesting constants. Of course the ones GASARCH lists above are the first ones treated in Finch's book.Anonymousnoreply@blogger.com