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Sep
15 |
accepted | What is the path cardinality of an infinite binary tree with fractal boundary of constant dimension below 1? |
Sep
15 |
revised |
What is the path cardinality of an infinite binary tree with fractal boundary of constant dimension below 1?
Edited sub-question concerning pull-down of tree with continuum parh cardinality |
Sep
15 |
comment |
What is the path cardinality of an infinite binary tree with fractal boundary of constant dimension below 1?
OK, I see; thanks. Well, it's not relevant to the intent of the sub-question, which was meant to say that at least a sub-set of the tree can be pulled down to be isomorphic with the complete infinite binary tree. Will correct sub-question. |
Sep
15 |
revised |
What is the path cardinality of an infinite binary tree with fractal boundary of constant dimension below 1?
Updated title to more accurately reflect question |
Sep
15 |
comment |
What is the path cardinality of an infinite binary tree with fractal boundary of constant dimension below 1?
What do you mean by isolated point? A finite connected path, ending in a leaf node? |
Sep
15 |
comment |
What is the path cardinality of an infinite binary tree with fractal boundary of constant dimension below 1?
F has constant Hausdorff dimension strictly below 1, and is dense in the real number line from (-2,2) to (2,2). |
Sep
15 |
comment |
What is the path cardinality of an infinite binary tree with fractal boundary of constant dimension below 1?
Updated main question in body of question to mirror the title, adding "path". |
Sep
15 |
revised |
What is the path cardinality of an infinite binary tree with fractal boundary of constant dimension below 1?
Corrected main question tin text to state path cardinality |
Sep
15 |
revised |
What is the path cardinality of an infinite binary tree with fractal boundary of constant dimension below 1?
More typos corrected. |
Sep
15 |
revised |
What is the path cardinality of an infinite binary tree with fractal boundary of constant dimension below 1?
Minor typos. |
Sep
15 |
revised |
What is the path cardinality of an infinite binary tree with fractal boundary of constant dimension below 1?
Minor typos. |
Sep
15 |
revised |
What is the path cardinality of an infinite binary tree with fractal boundary of constant dimension below 1?
added 2 characters in body |
Sep
15 |
asked | What is the path cardinality of an infinite binary tree with fractal boundary of constant dimension below 1? |
Sep
8 |
comment |
number of zeroes in 100 factorial.
As can be seen elsewhere, the number of trailing zeros has an exact closed form solution. My numerical error analysis for the above estimates showed periodic behavior for the trailing zeros, and chaotic behavior for the inside zeros. With respect to the inside zeros, I suspect they are out of reach, similar in complexity to the distribution of prime numbers. |
Sep
8 |
comment |
number of zeroes in 100 factorial.
Thanks, @sShobhit. You give me too much credit, though. As you can see, I have just taken a known estimate for the total length, subtracted from this a known estimate for the number of trailing zeros, multiplied this by 1/10, to obtain an estimate for the inside zeros, and then added the same estimate for the trailing zeros to obtain a total estimate. |