Math Forum / Mathematics / Algebra Help / February 2010

1) When you're writing an article, and there are a number of little things
that need an elementary proof, is it OK to get them out of the way in a
section headed Preliminary Lemmas, just after the introduction -- then refer
to them, as lemmas, as one pleases throughout the paper ...

Suppose you were told that 1/2 of the apples you can see could not be seen,
and 2/3 of those not seen can be seen, and that you could see 6 dozen dozen
apples more than cannot be seen, and 1/2 of the apples that cannot be seen
could be seen, and 3/4 of the apples that can be seen ...

I think the variously named Axis should give up the use of notation he
does not understand.

          i am trying to refresh my algebra knowledge and am having
difficulty in the removing brackets excercise:
(4a - 5b) - (3a - 2b) = 4a - 5b - 3a - (-2b)
                              = 4a - 5b - 3a + 2b

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Um, yeah, I'm trying to speed up the Leibniz formula for pi 8 times,
however, I've run into a little problem here.
I'm adding like terms of this series, and finding formulae for it.
YES, it does converge to pi, you can even check it.

I have to solve an AX = B linear system with a symmetric matrix like that
  [    0      a12       ...   a1(n-1)  1 ]
  |   a12      0        ...   a2(n-1)  1 |
A =|  ...      ...        0      ...    1 |

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If you rent a time machine for $100/day and
return it yesterday, do you get a $100 refund?

Let R(n) be the first n primes other than 2 and 3. Let p(n) be the n-th
prime.
For any integer m, let Div(R(n), m) be the set elements j of R(n) such that
each j divides m.

I have a formula that calculates loan payments based on knowing:
i = Interest rate per period
P = Principal
T = Term  (number of periods)