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Jun
3
revised Can you help with Syracuse (3x+1)/2 disjoint tree graph set-builder notation?
hid some complexity
Jun
2
revised Can you help with Syracuse (3x+1)/2 disjoint tree graph set-builder notation?
Fixed syntax, inserted wedges
Jun
2
comment Can you help with Syracuse (3x+1)/2 disjoint tree graph set-builder notation?
@Ken, I posted my approach, a little late because my inter-net was out. Let's find out if I paid attention.
Jun
2
revised Can you help with Syracuse (3x+1)/2 disjoint tree graph set-builder notation?
added major revisions per comments
May
31
comment Can you help with Syracuse (3x+1)/2 disjoint tree graph set-builder notation?
@Ken, Would it be better to abandon the current format and use individual sets? Like use $\alpha(\cdot)$ to create the set of first $x$'s, etc.?
May
31
comment Can you help with Syracuse (3x+1)/2 disjoint tree graph set-builder notation?
@Ken, I was avoiding Union because is doesn't emphasize the fact that there are no duplicates, but I will replace the Join. What can I do about the embedded updating of $x$? The $x$ is initialized within $\beta$, used as the first vertex, set again to be used as the second vertex, etc. I will rework this and show in OP as an edit line. Thanks.
May
31
revised Can you help with Syracuse (3x+1)/2 disjoint tree graph set-builder notation?
improved notation by explaining the directed edge
May
31
revised Can you help with Syracuse (3x+1)/2 disjoint tree graph set-builder notation?
changed alpha function per comment on the Mathematica link.
May
31
revised Can you help with Syracuse (3x+1)/2 disjoint tree graph set-builder notation?
added motivation
May
31
asked Can you help with Syracuse (3x+1)/2 disjoint tree graph set-builder notation?
May
29
accepted What does $\mu^{2}$ mean?
May
29
comment What does $\mu^{2}$ mean?
+1, I like that better than using $|\cdot|$.
May
29
asked What does $\mu^{2}$ mean?
May
22
comment What's wrong with l'Hopital's rule?
+1 for ...leaving intuition and actual thought undisturbed.
May
21
revised Is this ordered square mathematically interesting?
cleaned up syntax
May
21
comment Is this ordered square mathematically interesting?
@jgon, the pattern is very rigid and I would like to know if one could claim that this pattern always exists, i.e., is immutable. I have two more squares that behave in a similar manner. This is an area of math with which I'm not familiar.
May
21
revised Is this ordered square mathematically interesting?
Showed rotated example, changed tag, clarified the order descriptions.
May
13
revised Is this ordered square mathematically interesting?
added comment re: new question
May
13
revised Is this ordered square mathematically interesting?
added additional info
May
12
comment Is this ordered square mathematically interesting?
@GFauxPas, Ordered refers to ascending order of the values, i.e., like an ordered list.