20220622, 18:06  #23  
3×2,741 Posts 
Quote:
Mathematical precision in statement, description and resolution must be considered. Wishywashiness, inaccurate paraphrasing and bold hyperbole (closely affiliated with unfounded conjectures) should be avoided if you're aware of them. I've been guilty of all of the above and have adapted (most of) my posts accordingly within this forum..one example of mine was misstating attributes of the critical line and I was brought to task on this. Chronic repetition of mistakes be they thematic or expository is not a desirable trend to maintain. Regarding the first two points mentioned above, do your homework and learn more about both. If you read about the resolution of the Poincare Conjecture you will learn something about human nature which goes to your third point. Try to understand, to the best of your ability, this conjecture and its solution. Next, read about the "attribution" of the solution and what took place..and where the money eventually went. Since I also like to play poker, (Yardley did as well..an interesting bloke), read "The Professor, the Banker, and the Suicide King." This conjecture is deep and I don't understand it as well as the one above. I have followed up with purported proofs which had some interesting approaches and have cross referenced them with reviewers to learn more. A good exercise to test your technical sagacity is to "spot the mistake in the proof" ...or any disqualified proof to address your mathematical chops..without peeking of course. To your third point, read up on https://en.wikipedia.org/wiki/Grigori_Perelman rather than just being "barely familiar" with who he is. Conceptual advances made by committees are vastly overshadowed by those made by indivuals. I read the following novella years ago when it first came out and I recommend this updated version to you now..https://www.amazon.ca/SYSTEMANTICSS.../dp/B00AK1BIDM Last fiddled with by jwaltos on 20220622 at 19:03 Reason: teeth 

20220622, 18:46  #24 
1551_{8} Posts 
Regarding some of the other posts within this thread and references to pythagorean triangles, does anyone have a pointer to a comprehensive listing of congruent numbers (other than primes 5,6,7 mod 8)? Sardonicus?..anyone ..anyone?*
*If anyone watched "Win Ben Stein's Money" they'll get the reference. By the way, the show was hosted by Jimmy Kimmel and Ben Stein was an advisor to Nixon..both smart and funny men. https://www.youtube.com/watch?v=zROOIwTlfgE For the sake of completion, here's a link to Yardley's poker book, https://www.amazon.ca/EducationPoke.../dp/487187639X. He has written more books which are also "educational." However, due diligence is always required..https://ia600903.us.archive.org/21/i..._watermark.pdf. A slight tangent will take you to this Canadian..https://en.wikipedia.org/wiki/William_Stephenson..a small plug for Canucks. Last fiddled with by jwaltos on 20220622 at 19:44 
20220622, 20:57  #25  
Bamboozled!
"๐บ๐๐ท๐ท๐ญ"
May 2003
Down not across
26235_{8} Posts 
Quote:
I had never heard of "Yardley's poker book" but own a 1stedition copy of The American Black Chamber. I wondered if it was the same Yardley and followed your second link. Sure enough, it is. It would have been obvious if the full text of your third link had been visible but the forum had chopped out the interesting central portion. Last fiddled with by xilman on 20220622 at 20:59 

20220623, 13:55  #26  
Random Account
Aug 2009
Not U. + S.A.
2^{6}×5×7 Posts 
I did some coding experiments and came up with these, among many others:
Quote:
Quote:
The OP wrote one person cannot do this alone, yet. As it is now, a great many, and their descendants, could run this for decades and never find a zero result. For me, it was simply a learning experience. 

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