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visits member for 3 years, 7 months
seen Aug 22 at 12:30

An aspiring programmer and a budding researcher :-)


Feb
12
asked Is it possible to find a 2D distribution function such that the higher order moments always exist?
Oct
15
awarded  Teacher
Aug
20
comment How many unit hexagonal tiles can be placed inside a larger hexagon of sides $a,b,c,a,b,c$?
And thanks a lot for answering the philosophical questions. To Read: Martin Gardner's math books is on my to do list :-) What an awesome community by the way!
Aug
20
accepted How many unit hexagonal tiles can be placed inside a larger hexagon of sides $a,b,c,a,b,c$?
Aug
20
comment How many unit hexagonal tiles can be placed inside a larger hexagon of sides $a,b,c,a,b,c$?
Brilliant illustration. I loved it. I get it now. The number of tiles on the visible faces is (ab+bc+ca). Then the number of tiles that have been counted multiple times in the previous product (a+b+c) + 1 (the tile at the intersection of the red, green and blue lines). Voilà.
Aug
19
comment How many unit hexagonal tiles can be placed inside a larger hexagon of sides $a,b,c,a,b,c$?
oops. Sorry Sir.My fault.I have removed that comment saying your answer is wrong. Now, I have upvoted your answer. Although before accepting your answer, i would like to clarify the logic behind. So, $a+(a+1)+...$ is the number of unit hexagons in 1 trapezoid. right? This is an arithmetic progression. How did you find out the last term (a+b-1)? Second, I dont understand how you arrived at $(c−b−1)(a+b−1)$? One more thing is about your assumption. The formula works even when your assumption is violated. a = 985;b=2;c=2
Aug
19
revised How many unit hexagonal tiles can be placed inside a larger hexagon of sides $a,b,c,a,b,c$?
have added some test cases for answerers to check their cases before they post
Aug
19
comment How many unit hexagonal tiles can be placed inside a larger hexagon of sides $a,b,c,a,b,c$?
hmm.thanks for your quick response. But Sorry the answer is wrong. For a=7,b=8,c=13, the correct answer is 224. Your expression gives 84.
Aug
19
awarded  Commentator
Aug
19
comment How many unit hexagonal tiles can be placed inside a larger hexagon of sides $a,b,c,a,b,c$?
@copper.hat: I dont get it. How does a>1 remove tiles?
Aug
18
asked How many unit hexagonal tiles can be placed inside a larger hexagon of sides $a,b,c,a,b,c$?
Jul
23
comment Multi binomial theorem application
yes. I did mean that $v<=alpha$. term. thanks. I got it. But still not sure of how to proceed with the expansion.
Jul
23
comment Multi binomial theorem application
Thats what i m not sure. Under the assumptions that i have given, we can approximate each of the terms above as (a1/c1)x+(b1/c1)y+1. So should i expand it using multi multinomial theorem?
Jul
23
revised Multi binomial theorem application
added 177 characters in body; edited title
Jul
23
asked Multi binomial theorem application
Apr
19
comment Computing the moments of a triangle
right! but do you know if i can find a copy of that file somewhere or if you have one, i ll be glad to take it.
Apr
19
comment Computing the moments of a triangle
The second link is not working..
Oct
28
comment Odd order moments of a symmetrical distribution
that was superb!
Oct
14
comment Symbolic computation of the derivative of dot product of 2 vectors
@Bill Cook: Thank you. I tried using what you ve sent me. The expressions seem to be complicated though. Well. fair enough. But i was wondering if i could retain a and b and its derivatives a' and b' (w.r.t time)as vectors itself in the final expression.
Oct
13
asked Symbolic computation of the derivative of dot product of 2 vectors