tag:blogger.com,1999:blog-9161886791806233869.post2919665286551516497..comments2016-07-12T05:31:28.283-07:00Comments on What A Stray Mind Coughed Up: Tetrational-pointAndrew Robbinshttp://www.blogger.com/profile/09074689878199168258noreply@blogger.comBlogger3125tag:blogger.com,1999:blog-9161886791806233869.post-47645772607425251752011-03-31T03:08:16.108-07:002011-03-31T03:08:16.108-07:00(1) They are ranges, you are correct. Each range w...(1) They are ranges, you are correct. Each range would probably be best described as a +- in the topmost exponent, but I haven't taken the time to calculate them yet.<br />(2) Underflow representations require a "reciprocal bit" which I decided not to discuss, as it would complicate the value representation formula, however, I would prefer a reciprocal bit.<br />(3) Associativity is the most common mistake people make with tetration, but it is not the only one. Other problems include that "super-roots are not reciprocal super-powers", "there is no base-conversion formula for super-logarithms", and "the infinite tetrate is finite". I usually refer people to the Wikipedia site or the Tetration Forum for reference for these kind of problems.Andrew Robbinshttps://www.blogger.com/profile/09074689878199168258noreply@blogger.comtag:blogger.com,1999:blog-9161886791806233869.post-67293973972919602222011-03-28T06:36:19.255-07:002011-03-28T06:36:19.255-07:00Andy,
1) When you write something like:
#x7F01 = ...Andy,<br />1) When you write something like:<br />#x7F01 = 6.8504792165e+21383<br />Why do you include so many "significant figures" in the mantissa? I think of these extended numbers as ranges more than points ... (Technically this even applies to the exponent significant figures, right?)<br /><br />2) Very small numbers and underflow? SLI ...<br /><br />3) It may be worth pointing out to the reader of these posts that exponentiation, i.e. "^", is right associative. http://en.wikipedia.org/wiki/AssociativityJohnhttps://www.blogger.com/profile/16126451592989412577noreply@blogger.comtag:blogger.com,1999:blog-9161886791806233869.post-78468037923432332882011-03-28T06:13:37.972-07:002011-03-28T06:13:37.972-07:00Hi Andy,
I like your discussion here.Hi Andy,<br /><br />I like your discussion here.Johnhttps://www.blogger.com/profile/16126451592989412577noreply@blogger.com