Did I make a "forced" interpretation?
0
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Just a few years ago I wrote an article called The Geometry of the MRB constant. Since then I've wondered if there is a better, more natural geometric analysis of the following summation.
$$
sum_{k=1}^infty (-1)^k(k^{1/k}-1)
$$
Here is a rough description of what I did:
geometry recreational-mathematics
edited Dec 24 '18 at 7:21
Glorfindel
3,41381830
asked Nov 12 '13 at 20:02
Marvin Ray BurnsMarvin Ray Burns
98112
$endgroup$
add a comment |
0
$begingroup$
Just a few years ago I wrote an article called The Geometry of the MRB constant. Since then I've wondered if there is a better, more natural geometric analysis of the following summation.
$$
sum_{k=1}^infty (-1)^k(k^{1/k}-1)
$$
Here is a rough description of what I did:
geometry recreational-mathematics
edited Dec 24 '18 at 7:21
Glorfindel
3,41381830
asked Nov 12 '13 at 20:02
Marvin Ray BurnsMarvin Ray Burns
98112
$endgroup$
3
$begingroup$
Better than what? Do you expect us to read the whole paper to find that out? Please provide a sketch of the basic idea you used, and point out the relevant parts.
$endgroup$
– MvG
Nov 12 '13 at 20:35
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@MvG I added some excerpts.
$endgroup$
– Marvin Ray Burns
Nov 12 '13 at 22:26
1
$begingroup$
Since you (MRB) invented this constant in the first place, surely any "interpretation" you attach to it is equally valid?
$endgroup$
– mjqxxxx
Nov 12 '13 at 23:55
$begingroup$
@mjqxxxx I'm hoping to find someone who can take for a fresh look at its geometry.
$endgroup$
– Marvin Ray Burns
Nov 13 '13 at 0:14
add a comment |
0
0
0
1
$begingroup$
Just a few years ago I wrote an article called The Geometry of the MRB constant. Since then I've wondered if there is a better, more natural geometric analysis of the following summation.
$$
sum_{k=1}^infty (-1)^k(k^{1/k}-1)
$$
Here is a rough description of what I did:
geometry recreational-mathematics
edited Dec 24 '18 at 7:21
Glorfindel
3,41381830
asked Nov 12 '13 at 20:02
Marvin Ray BurnsMarvin Ray Burns
98112
$endgroup$
Just a few years ago I wrote an article called The Geometry of the MRB constant. Since then I've wondered if there is a better, more natural geometric analysis of the following summation.
$$
sum_{k=1}^infty (-1)^k(k^{1/k}-1)
$$
Here is a rough description of what I did:
geometry recreational-mathematics
geometry recreational-mathematics
edited Dec 24 '18 at 7:21
Glorfindel
3,41381830
asked Nov 12 '13 at 20:02
Marvin Ray BurnsMarvin Ray Burns
98112
edited Dec 24 '18 at 7:21
Glorfindel
3,41381830
asked Nov 12 '13 at 20:02
Marvin Ray BurnsMarvin Ray Burns
98112
edited Dec 24 '18 at 7:21
Glorfindel
3,41381830
edited Dec 24 '18 at 7:21
Glorfindel
3,41381830
edited Dec 24 '18 at 7:21
Glorfindel
3,41381830
3,41381830
asked Nov 12 '13 at 20:02
Marvin Ray BurnsMarvin Ray Burns
98112
asked Nov 12 '13 at 20:02
Marvin Ray BurnsMarvin Ray Burns
98112
asked Nov 12 '13 at 20:02
Marvin Ray BurnsMarvin Ray Burns
98112
98112
3
$begingroup$
Better than what? Do you expect us to read the whole paper to find that out? Please provide a sketch of the basic idea you used, and point out the relevant parts.
$endgroup$
– MvG
Nov 12 '13 at 20:35
$begingroup$
@MvG I added some excerpts.
$endgroup$
– Marvin Ray Burns
Nov 12 '13 at 22:26
1
$begingroup$
Since you (MRB) invented this constant in the first place, surely any "interpretation" you attach to it is equally valid?
$endgroup$
– mjqxxxx
Nov 12 '13 at 23:55
$begingroup$
@mjqxxxx I'm hoping to find someone who can take for a fresh look at its geometry.
$endgroup$
– Marvin Ray Burns
Nov 13 '13 at 0:14
add a comment |
3
$begingroup$
Better than what? Do you expect us to read the whole paper to find that out? Please provide a sketch of the basic idea you used, and point out the relevant parts.
$endgroup$
– MvG
Nov 12 '13 at 20:35
$begingroup$
@MvG I added some excerpts.
$endgroup$
– Marvin Ray Burns
Nov 12 '13 at 22:26
1
$begingroup$
Since you (MRB) invented this constant in the first place, surely any "interpretation" you attach to it is equally valid?
$endgroup$
– mjqxxxx
Nov 12 '13 at 23:55
$begingroup$
@mjqxxxx I'm hoping to find someone who can take for a fresh look at its geometry.
$endgroup$
– Marvin Ray Burns
Nov 13 '13 at 0:14
3
3
$begingroup$
Better than what? Do you expect us to read the whole paper to find that out? Please provide a sketch of the basic idea you used, and point out the relevant parts.
$endgroup$
– MvG
Nov 12 '13 at 20:35
$begingroup$
Better than what? Do you expect us to read the whole paper to find that out? Please provide a sketch of the basic idea you used, and point out the relevant parts.
$endgroup$
– MvG
Nov 12 '13 at 20:35
$begingroup$
@MvG I added some excerpts.
$endgroup$
– Marvin Ray Burns
Nov 12 '13 at 22:26
$begingroup$
@MvG I added some excerpts.
$endgroup$
– Marvin Ray Burns
Nov 12 '13 at 22:26
1
1
$begingroup$
Since you (MRB) invented this constant in the first place, surely any "interpretation" you attach to it is equally valid?
$endgroup$
– mjqxxxx
Nov 12 '13 at 23:55
$begingroup$
Since you (MRB) invented this constant in the first place, surely any "interpretation" you attach to it is equally valid?
$endgroup$
– mjqxxxx
Nov 12 '13 at 23:55
$begingroup$
@mjqxxxx I'm hoping to find someone who can take for a fresh look at its geometry.
$endgroup$
– Marvin Ray Burns
Nov 13 '13 at 0:14
$begingroup$
@mjqxxxx I'm hoping to find someone who can take for a fresh look at its geometry.
$endgroup$
– Marvin Ray Burns
Nov 13 '13 at 0:14
add a comment |
0
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3
$begingroup$
Better than what? Do you expect us to read the whole paper to find that out? Please provide a sketch of the basic idea you used, and point out the relevant parts.
$endgroup$
– MvG
Nov 12 '13 at 20:35
$begingroup$
@MvG I added some excerpts.
$endgroup$
– Marvin Ray Burns
Nov 12 '13 at 22:26
1
$begingroup$
Since you (MRB) invented this constant in the first place, surely any "interpretation" you attach to it is equally valid?
$endgroup$
– mjqxxxx
Nov 12 '13 at 23:55
$begingroup$
@mjqxxxx I'm hoping to find someone who can take for a fresh look at its geometry.
$endgroup$
– Marvin Ray Burns
Nov 13 '13 at 0:14