Re: Long division

On Feb 28, 12:14 am, Quentin Grady <quen...@xxxxxxxxxxxxxxx> wrote:
G'day G'day Folks,

I was reading a math book which had a proof of differentiation of a
quotient usually written as u/v that I hadn't seen before.

In essence the proof relied on doing a long division of the
form a + b into c + d

As the division proceeded the terms became smaller and smaller and so
insignificant.

The catch is I've never seen a long division of the form a+b into c+d
so can't make sense of it.

Please can someone explain how one does such a long division.

Thank you,

Best wishes,
--
Quentin Grady ^ ^ /
New Zealand, >#,#< [
/ \ /\
"... and the blind dog was leading."

http://homepages.paradise.net.nz/quentin

Consider (for instance) that all the math we do is essentialy with
polynomials operating against polynomials.

e.g.:
1234 * 5678
That could also be considered as
(1000 * 1 + 100 * 2 + 10 * 3 + 4) * (1000 * 5 + 100 * 6 + 10 * 7 + 8)
Of course, that grouping is arbitrary. We can collect the terms
however we like and still get the same result.

If you give a pointer to the proof in question, I guess that someone
can help you to see it clearly.

.

Relevant Pages

  • Long division
    ... I was reading a math book which had a proof of differentiation of a ... quotient usually written as u/v that I hadn't seen before. ...
    (sci.math)
  • Re: Long division
    ... I was reading a math book which had a proof of differentiation of a ... quotient usually written as u/v that I hadn't seen before. ...
    (sci.math)