It looks like you're using an Ad Blocker.
Please white-list or disable AboveTopSecret.com in your ad-blocking tool.
Thank you.
Some features of ATS will be disabled while you continue to use an ad-blocker.
Originally posted by 25cents
boundary - the edge of somethings influence, the furthest something may be allowed to roam
limit - see above.
any mathematician that tells you boundaries and limits are different is a a-hole. if they mean boundaries insofar as a set of numbers (say, real numbers for example), then it's still limitless. if they choose an equation like 1/x, which never reaches zero but approaches it as a limit, then it is bounded by y=0 and x=0, and may not cross them.
Originally posted by Frosty
I just have to say I wouldn't understand why mathematicians would be so redundant as to use two words for the same definition....although....
Originally posted by 25cents
and did you realy just say that (real numbers)^2 can be defined?
:Originally posted by Frosty
x + y = 10
xy=40
True? How not, how so?
Originally posted by d60944
:Originally posted by Frosty
x + y = 10
xy=40
True? How not, how so?
>>> x(10-x) = 40
>>> x^2 - 10x +40 = 0
x1 = 5.0 + 3.872983346207417 i
x2 = 5.0 - 3.872983346207417 i
Not that this will help much, but I noticed no-one put the solution up yet...
Cheers.
[edit on 5-3-2006 by d60944]
Originally posted by johnsky
In regards to infinity from a human perspective. The human brain is accustomed to understanding concepts that it can see/hear/feel/smell... you cannot do this with infinity. Its a concept that is outside our perceptive ranges, and can only be understood properly through a solid understanding of math. Which is why so many people have trouble visualising infinity.
[edit on 26-4-2006 by johnsky]
Originally posted by siddharthsma
I got this example from a book, and I thought it was a good example of when Infinity can cause unecessary problems in Math.
But we also know infinity causes problems in Physics, e.g when we say space time can have infinite curvature. This runs us into a singularity.
What do you think, is infinity really necessary, or is it a concept that should be discarded ?
Man can comfortably grasp finite time. We struggle conceptually with the infinite. To me this shows infinity is not a unit of time at all, at least in the sense that time is a man-made construct. I also think finite time is ultimately illusory because of the presence of infinity.
Originally posted by 25cents
again, no infinity can be larger than another - one object or idea without limit and without end is the same as any other.
...an infinity is an infinity, no matter how you look at it.
The universe itself is not yet infinite, but it is so large numbers are meaningless to describe it.