On 16 jul, 18:24, gwh <ghug...@cei.net> wrote: > On Jul 14, 10:30 pm, arithmeticae <djes...@gmail.com> wrote: > > > If you really like to analyze the most simple high-order root-solving algorithms then you should take a look at: > > >http://mipagina.cantv.net/arithmetic/rmdef.htm > > > It is striking to realize that these new extremely simple artihmetical algorithms do not appear in any text on numbers since Babylonian times up to now. > > Maybe not in "any text on numbers", but back in 1945 I purchased a > copy of "Handbook of Engineering Fundamentals", by Eshbach, and the > cube root extraction scheme described there was precisely the same as > the scheme described on one of the links given on the above website. I > used that method lots of times in my engineering career when I needed > more precision than my trusty log-log duplex decitrig slide rule was > able to give me. > > Regards, > > Grover Hughes
You said: >and the > cube root extraction scheme described there was precisely the same as > the scheme described on one of the links given on the above website.
Well, this is so simple. You are trying to say that my methods --based on the Rational Mean-- are the same as the one you read in Eshbach's work. Well, I tell you that what you are stating is NOT true.
I challenge you to show such Eshbach's method in this thread.
This a challenge, and you must show people that all what you are talking is true, otherwise, you will face the consequences of making false statements. I face all my statements. Can you?