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ForumsDiscussion Forum → omgMATHomg
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omgMATHomg
2005-08-27, 11:46 AM #41
Quote:
The point I keep trying to make is that in Decimal notation, there is NO equivalent form for 1/3.


Yes there is. It's 0.3 with a dot over the 3. It stands for 0.3 recurring and represents the fraction 1/3.
2005-08-27, 12:21 PM #42
Pi is exactly 3.
Hazard a company one process.
2005-08-27, 1:12 PM #43
"In base pi, pi is exactly 10. This is much easier to remember."

And actually it can be a line or dot over the 3 to mean repeating.

2005-08-27, 2:14 PM #44
Fair enough - I was always taught it was a dot, but obviously that'd work too.

And the pi in base pi line always makes me laugh **far** more than it should.
2005-08-27, 5:13 PM #45
...? I was just asking a question ,which you didn't answer, Jon`C. What do you mean by "only recently understood"?
2005-08-27, 5:53 PM #46
A slight tanget here [heh, math pun], but can someone tell me what the kakkar this calculus malarky is? Never heard of it in my life apart from Films.
nope.
2005-08-27, 6:11 PM #47
[QUOTE=West Wind]you are correct, .333 is rational, and does have an equivalent fractional form: 333/100, as you keep adding 3's the fractional form increases correspondingly (3333/1000, 33333/10000, so on) again, the limit as this series progresses towards infinity is 1/3, but it is never actually 1/3 itself.[/QUOTE]

No. The limit of the partial sums of an infinite sequence is the sum of the series; .333... = exactly 1/3. That's simply the definition of an infinite series.

But that's merely tangential to the real issue. I already explained that every real number is defined as the limit of a Cauchy sequence; if two sequences are equal, by definition they represent the same real number. With this in mind, please rationalize how the sequences representing .999... and 1 can belong to the same equivalence class, yet still be different numbers.
2005-08-28, 1:33 AM #48
Originally posted by Boco:
A slight tanget here [heh, math pun], but can someone tell me what the kakkar this calculus malarky is? Never heard of it in my life apart from Films.


In a nutshell, calculus is a branch of maths involving summing up of infitesimal bits of complicated functions to ... bugger me this is harder than i thought! I *know* what calculus is, but is quite hard to just sum up (maths pun - groan).

if you take maths in your highers, you'll come across it very soon. You'll likely first use it to look at rates of change - at least that's how the subject was first broached to me when I was about your age :)
2005-08-29, 11:35 AM #49
Err, actually Pcysqznpkhcyn, it's the stuff we're doing in highers just now. :)
nope.
2005-08-29, 10:22 PM #50
And once again, Argath wins the thread, sending his foes running with their tails between their legs.
"it is time to get a credit card to complete my financial independance" — Tibby, Aug. 2009
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