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And 1/3=.333
.333 x 3= .999
An egregious example of roundoff error is provided by a short-lived index devised at the Vancouver stock exchange (McCullough and Vinod 1999). At its inception in 1982, the index was given a value of 1000.000. After 22 months of recomputing the index and truncating to three decimal places at each change in market value, the index stood at 524.881, despite the fact that its "true" value should have been 1009.811.
Originally posted by Crysstaafur
Then we both concur that 0 is nothing.
Yes symbolically we can represent the square root of -1 as i persea, but that is no different that assigning it to any variable. However finding it's real value simply cannot be done. Therefore, again, I concur with using i as a place holder for that unknown quanity in order to manipulate the rest of the system.
Addititionally it has properties that can allow it to be re-usable into a real system.
SQR(-1) * SQR(-1) = -1
SQR(-1) ^ 4 = 1
Now... in dealing with theoretical math, point-9 to infinity is not the same thing as 1.
In theoretical math, there's all sorts of interesting and bizarre things that happen (in theoretical math there are systems where you CAN add infinity to infinity and come up with an answer other than "infinity.")
Originally posted by utrex
You are probably thinking about set theory, which involves some unintuitive notions about different sizes of infinity.
Following that line of thought 10X - X = 8.999 because you have only subtracted the infinite remainder one time.
(-0.000... repeating ...1)
Originally posted by utrex
Now... in dealing with theoretical math, point-9 to infinity is not the same thing as 1.
No, they are exactly equivalent.
You are probably thinking about set theory, which involves some unintuitive notions about different sizes of infinity. For example, there are the same number of positive even numbers (2, 4, 6, ...) as natural numbers (1, 2, 3, ...).
Originally posted by djohnsto77
But how would you express .9 repeating as a fraction?