tag:blogger.com,1999:blog-7774517794040958187.post1241709144072207376..comments2019-11-04T04:36:38.955-08:00Comments on Unobtainabol: Infinite Digits to the LeftUnknownnoreply@blogger.comBlogger2125tag:blogger.com,1999:blog-7774517794040958187.post-53205281766156470642014-03-16T14:51:39.975-07:002014-03-16T14:51:39.975-07:00Could you explain your notation? I can't figur...Could you explain your notation? I can't figure out what you meanDavid Gudemanhttps://www.blogger.com/profile/16860837105790932351noreply@blogger.comtag:blogger.com,1999:blog-7774517794040958187.post-11677922031292147182014-03-15T21:45:17.907-07:002014-03-15T21:45:17.907-07:00Hi.
Let me propose a mapping M of infinitoid num...Hi. <br /><br />Let me propose a mapping M of infinitoid numbers to finit numbers: let D(n) the nth digit to the left and D(-n) the nth digit to the right:<br /> M:= D(n)->D(-2n) for n>=0 and D(-n)-> D(-2n-1) for n>0<br />With this some operations on infinitoid can be defined via:<br /> i op j = Minv( M(i) op M(j)) <br />This way more interesting math can be performed on infinitoid numbers. It should also follow that op is independent of the basis chosen to represent infinitoid.<br /><br />infinitoid numbers stay infinitoid when represented in another basis. That is in general not true for numbers infinite on the right.<br /><br />I also think it is interesting to discuss the order of inifinity: <br />While integers are of a different order that real numbers, the set of inifinitoid numbers seems to be of the same order of inifity as the real numbers. But what order of inifinity is a set of the size of a particular infinitoid number: the order infinity of all integer numbers?Achim Bodehttps://www.blogger.com/profile/00485497234211809430noreply@blogger.com