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May
24
revised How to make 4 (parametrized) points (in the complex plane) concentric?
added 251 characters in body
May
24
revised How to make 4 (parametrized) points (in the complex plane) concentric?
added 393 characters in body
May
24
asked How to make 4 (parametrized) points (in the complex plane) concentric?
May
14
revised In what sense does $\sum_{k=0}^{\infty} 2^{2k} = - {1 \over 3}$?
annotated the picture
May
14
comment Algorithm for tetration to work with floating point numbers
It were tetration if you could find some meaningful solution for the idea, that the "i++" in the last loop could be fractional instead of "i=i+1" ...
May
11
comment The Physical Meaning of Tetration with fractional power tower
@MphLee: I find your comment well written, and the keyword "universe" reminds me of some (so far fruitless) speculation, whether the problem of the hypothesized extreme dilatation in the near of the big-bang might be a candidate for mathematical models involving iterated exponentiation . A second, even more, speculative idea was when the evolution of the time itself was discussed. Again this has for me some flavor of selfcomposed functionality. There is also an electronic tool, the "avalange diode". Perhaps its curve is already perfectly modeled- otherwise that would be a candidate to look at.
May
10
comment Continuum between addition, multiplication and exponentiation?
@DanW: yes, I was really impressed. Thanks for the reminding!
May
10
answered The Physical Meaning of Tetration with fractional power tower
May
9
comment Continuum between addition, multiplication and exponentiation?
@Daniel: yes; in the first example I work with $t=1.01$ which is also the (lower) fixpoint of $b=t^{1/t} \approx 1.019$ and attracting for the exponentiation, because the upper fixpoint is above $10$ which is the limit of the the intended multiplication table. In the second example I think the value for the base is not so important and might go up to $b=4$ or $b=10$ (although I didn't really look at it)
May
8
accepted Is the sum of the reciprocals of the squarefree numbers divergent or convergent?
May
8
revised Continuum between addition, multiplication and exponentiation?
added 1479 characters in body
May
8
revised Continuum between addition, multiplication and exponentiation?
added 3577 characters in body
May
8
revised Continuum between addition, multiplication and exponentiation?
added 245 characters in body
May
8
revised Continuum between addition, multiplication and exponentiation?
added 53 characters in body
May
8
answered Continuum between addition, multiplication and exponentiation?
May
8
revised Is the sum of the reciprocals of the squarefree numbers divergent or convergent?
added 179 characters in body
May
8
comment Is the sum of the reciprocals of the squarefree numbers divergent or convergent?
@Darth: thanks too - that formal re-expression of the sum is a nice reminder to look at - perhaps it helps to understand things better if needed later.
May
8
comment Is the sum of the reciprocals of the squarefree numbers divergent or convergent?
@A.P. : <arrgh> reading your argument makes me feeling nearly stupid (but well, it's ok). Of course! (I asked question Q2 there more out of couriosity.... )
May
8
asked Is the sum of the reciprocals of the squarefree numbers divergent or convergent?
Apr
27
revised What causes long sequences of consecutive 'collatz' paths to share the same length?
added 12 characters in body