Reputation
Next privilege 15,000 Rep.
Protect questions
Badges
1 21 62
Impact
~281k people reached

5h
revised Longest known sequence of identical consecutive Collatz sequence lengths?
added 1285 characters in body
8h
revised Longest known sequence of identical consecutive Collatz sequence lengths?
added 816 characters in body
19h
revised Longest known sequence of identical consecutive Collatz sequence lengths?
additional data for table
19h
comment Longest known sequence of identical consecutive Collatz sequence lengths?
@Pure : yes I've seen that. But I've only temporarily time, due to familiar duties...
1d
answered Longest known sequence of identical consecutive Collatz sequence lengths?
Apr
21
revised I can Euler-sum $\sqrt{-\ln(1)}-\sqrt{-\ln(2)}+\sqrt{-\ln(3)}-\cdots$. But how can I do $\sqrt{-\ln(1)}+\sqrt{-\ln(2)}+\sqrt{-\ln(3))}+\cdots$?
just corrected some typos...
Apr
10
awarded  Nice Question
Apr
10
answered Given $\log 2$ and $\log 3$, compute $\log 120$
Apr
10
comment Given $\log 2$ and $\log 3$, compute $\log 120$
? and who does tell the OP that the base-10-log was meant? I think one should find out where that precondition was implicitely hidden and how it could be pointed out to the OP...
Apr
10
comment Inverse and named fixed values, with ↑↑?
My proposal is to use "height" from the idea, that the integer version of the tetration is often understood as "power tower" (right associative) and is also derived from number of iterations, so "height" might be the most useful name, generalizable in the context of hyperoperations "iterative height of exponentiation", "of multiplication" etc. In my software I use thus $ \operatorname{hgh}(x)$ for this and $ \operatorname{hgh}(x_1,x_0)$ if I want precisely express the iteration-"height" from one $x_0$ to another $x_1$ by the (generalized) iteration of the current operation under consideration.
Apr
6
comment Surprising identities / equations
@Neil: very kind -thank you! If I happen to go for it... I'll let you know! :-)
Apr
4
comment A question about the $3n+1$ conjecture
1) I like the way you explained the last two collatz-questions... 2) I tried to write the same logic for some other cases. For instance, $ { 3(n-1)+1 \over 4} = \frac 34 (n-1)+1$ : your example recurs to the property, that $n=-1$ generates a cycle, I try to use the same logic derived from $n=+1$ because also this gives a cycle. Then another case is $n=-5 \to n=-7 \to n=-5$ giving another cycle, so your form adapted $ { 3(n+5)+1 \over 2 }$ should give a similar nice rule. But perhaps I'm still to sleepy to formulate this correctly. Do you see, how this could be made an analoguous statement?
Apr
4
revised Trying mathematical induction with $3n+1$ conjecture
added tag
Apr
1
answered Find all solutions $a,\ b\in \mathbb{ N}$ to the equation $2^a = b^ 2 − 5$
Mar
29
revised Graph of the function $x^y = y^x$, and $e$ (Euler's number).
just corrected some typos...
Mar
27
answered Cesàro means of divergent series
Mar
20
revised $3 \times 3 $ Magic Square of Squares
deleted 811 characters in body
Mar
20
revised $3 \times 3 $ Magic Square of Squares
added 374 characters in body
Mar
20
revised $3 \times 3 $ Magic Square of Squares
added 374 characters in body
Mar
20
revised $3 \times 3 $ Magic Square of Squares
Pari/GP code corrected