1,944 reputation
1519
bio website go.helms-net.de
location Germany
age 62
visits member for 4 years, 6 months
seen 2 hours ago
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 factor-analysis and a matrix-orientated calculator MatMate). Around 2002 I came in contact with the internet-community in math-newsgroups and could improve my Collatz-discussion. Next subject was the Bernoulli-numbers, then integer matrices and since 2006 the problem of iterated exponentiation aka tetration. Serving half-term 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 zero-length intervals and super-small values
3h
comment Analysing functions on zero-length intervals and super-small 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 nuclear-physic experiment described in an arXiv-article. 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” non-recursive 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 "sour-ness" 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?