bio  website  go.helmsnet.de 

location  Germany  
age  62  
visits  member for  4 years, 6 months 
seen  2 hours ago  
stats  profile views  1,197 
Mathematics is only a hobby  although I have done undergrad courses in the 70ties. But part of my job was doing statistics and this kept me near my favourite subject "linear algebra" (programmed factoranalysis and a matrixorientated calculator MatMate). Around 2002 I came in contact with the internetcommunity in mathnewsgroups and could improve my Collatzdiscussion. Next subject was the Bernoullinumbers, then integer matrices and since 2006 the problem of iterated exponentiation aka tetration. Serving halfterm jobs in teaching here at the university I found time to fiddle with that subjects in depth  and found love with the exploratory approach and impulse of the 18'th century numbertheory, namely L.Euler, "the master of us all"...
Due to lack of formal education I've to do my "research" widely on my own  but that's what I just like: to find structure, pattern, laws from the ground.
2h

answered  Analysing functions on zerolength intervals and supersmall values 
3h

comment 
Analysing functions on zerolength intervals and supersmall values
I was just playing with your renormalizaion approach and relating the residual $r_1(\delta) = {\Gamma(\delta)+\Gamma(\delta) \over 2}  \gamma $ to $\delta^2$ getting $\gamma_1(\delta) = r_1(\delta)/\delta^2$ I found some constant which possibly has a relation to some formula in nuclearphysic experiment described in an arXivarticle. Perhaps you're interested to look further into this  I've no competence for this whatsoever. I'm putting a picture into an answer field (but of course it is in no way an answer...) 
1d

revised 
Fatou Coordinate for function with rationally indifferent fixed point, and repelling fixed point
latexized text and corrected typos 
1d

suggested  approved edit on Fatou Coordinate for function with rationally indifferent fixed point, and repelling fixed point 
Jan 26 
revised 
Legendre transform and Lipschitz approximation
typo, a couple of... 
Jan 26 
suggested  approved edit on Legendre transform and Lipschitz approximation 
Jan 23 
comment 
Subadditivity of the square root for matrices
Could the OP's statement be true for commuting matrices? (I guess so) 
Jan 23 
comment 
perfect numbers and their properties
(1) Way too little own effort (and evidence) for occuring on a researchers forum. Why not use a general forum for question like, and in the state of, this? (For a humorous read of what I (remotely) meant read this ("how I proved the Riemann hypothesis") www1.maths.leeds.ac.uk/~pmt6jrp/personal/riemann.html 
Dec 25 
revised 
How this expression leads to the given sequence
added tableform of the sequence 
Dec 25 
suggested  approved edit on How this expression leads to the given sequence 
Dec 17 
comment 
Do the mathematicians really know the exact values of what usually called “indeterminate forms”?
Is a question "do mathematicians really know...?" an appropriate question here? Or could the asker get a hint where he could ask for more conversation about this topic (unfortunately I'm not much informed about currently available math/philosophical or math/sociological or possibly math/psychological forums) 
Dec 2 
comment 
Is it possible to define higher cardinal arithmetics
I tried to initiate an additional discussion with possibly further expertise at math.eretrandre.org/tetrationforum/showthread.php?tid=938 However, I'm no expert to judge whether this shall come out to be interesting at all. 
Nov 30 
revised 
Is there an “elegant” nonrecursive formula for these coefficients? Also, how can one get proofs of these patterns?
adapted the table of coefficients for readability (transposed rows vs columns) 
Nov 20 
revised 
formal power series convergence
improved formatting 
Nov 15 
comment 
Is rigour just a ritual that most mathematicians wish to get rid of if they could?
I too come late to this thread and for me fedja's essay is fully comprehendable and I agree even with that topics which vote for critical reflection of what and how mathematicians are doing. I think the tone of "sourness" does not revert the meaningfulness of the said, but might be a result of being eremite with that thoughts. 
Nov 10 
awarded  Organizer 
Nov 10 
revised 
iterative solution better than analytic solution?
added tag for numerical algorithms 
Nov 10 
revised 
iterative solution better than analytic solution?
added 136 characters in body 
Nov 10 
suggested  approved edit on iterative solution better than analytic solution? 
Nov 10 
answered  iterative solution better than analytic solution? 