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visits member for 2 years, 1 month
seen Mar 19 at 10:27

I am a software engineer with an interest in mathematics. My particular area of interest is the Goldbach conjecture. I am also interested in the twin prime conjecture. I hope to learn more about modular arithmetic and set theory in the near future.


Mar
12
comment Is there a way to solve this problem
From a less technical viewpoint, it is easy to see from trial and error that the function has a maximum value of about 0.53 where n is about 0.5
Oct
18
comment Longest Odd/Even Sequence in Composite Patterns
A082467 is certainly of interest if only for confirmation of some of the numbers in my series.
Oct
18
comment Longest Odd/Even Sequence in Composite Patterns
Thanks Charles. I haven't established quite how relevant this is yet, but I can see that it is not totally unconnected at least. I will mark this up if I get nothing better, but I'm not sure if it's too late to award you the bounty.
Oct
18
comment Is this geometry statement incomplete?
They look perfectly parallel to me. Try measuring the distance between them at different points along their length. It might be an optical illusion.
Oct
17
comment calculating number of boolean functions
Sean appears to agree. Goodnight Brian.
Oct
17
comment calculating number of boolean functions
@Brian M.Scott In addition to the L and T shapes aren't there also some S-like shapes?
Oct
13
comment Longest Odd/Even Sequence in Composite Patterns
@Gerry Myerson I would appreciate it if you could have another look now that I've made it clearer what column 15 means. There's also a numerical example demonstrating its significance. Please.
Oct
10
comment Run away from lions in a cage
However, the lions would have to be a bit careful about positioning themselves close, because if they are too close they have no chance of trapping me when I hit the perimeter. My suggestion is that they move apart with the aim of trapping me against the edge and I turn around just before they start to move closer again.
Oct
10
comment Run away from lions in a cage
I agree it's more philosophical than mathematical and I never saw it as a rock solid answer. The question is pretty tricky though.
Oct
9
comment Longest Odd/Even Sequence in Composite Patterns
I'm going to attempt, again, to explain the relevance of this with a concrete example.
Oct
8
comment Longest Odd/Even Sequence in Composite Patterns
I mean 1st 3rd 5th ... With the evens being 2nd 4th 6th ...
Oct
8
comment What are my chances in a Most Excellent Adventure?
I just tried playing the game 10 times using the random number generator on RANDOM.ORG and got a 6 number sequence 7 times, 5 once, 4 once and 3 once. It's not a big sample I agree but it is roughly what my program might have predicted. Maybe someone else with more time could play more games.
Oct
8
comment Longest Odd/Even Sequence in Composite Patterns
@Gerry Myerson - Actually the black-filled square represents a Goldbach Pair, oops.
Oct
8
comment Longest Odd/Even Sequence in Composite Patterns
@Gerry Myerson - Sorry to throw that one in unexplained. I really meant that it was either a composite or the prime that gave rise to it. In contrast to the black-filled square that is definitely a prime. Sometimes there is a fine line between too much detail and not enough and maybe I got on the wrong side of it.
Oct
2
comment Rotating equilateral triangles
Not with you on that Brian, but thanks for responding and I think it's best that I drop it now. I may stick with rotating machinery that has round things in future because these rotating triangles do strange things.
Oct
2
comment Rotating equilateral triangles
@Brian M. Scott - Does that also apply to the point that is 1/2 of a small triangle's side length anti-clockwise from the point in question: It initially moves through an arc of smaller radius.
Oct
2
comment Rotating equilateral triangles
Thanks for the help. I think what you're saying (in laymans terms) is that if I were to walk a path of fixed length, but the path was changing shape, then although I might have walked the distance of the path I would have moved further by virtue of the distortion. I sort of get the point.
Oct
1
comment Rotating equilateral triangles
And while I can't argue with your calculations, it does lead to the rather weird implication that a triangular wheeled tank will move further in one revolution of its tread than the length of the tread, even though the tread doesn't stretch. Or am I missing something?
Sep
30
comment Rotating equilateral triangles
At first glance that sounds like a paradox. I'm not saying your wrong though.
Sep
30
comment Rotating equilateral triangles
If we consider the bottom left vertex on the top triangle and the bottom left vertex on the lower left triangle. As the triangles rotate together, do the points get closer or further apart? I thought neither, which is why I took the view that the rubber band didn't stretch and so the total distance was simply the perimeter of the larger triangle.