Thread: .9999...=1
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Old December 2nd, 2012, 09:20 PM   #67 (permalink)
jhawkkw
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Quote:
Originally Posted by Speed Daemon View Post
The way I was taught mathematics and composition, an overline placed above the sequence is used to indicate a repeating sequence, and the ellipsis is used in composition (writing) to indicate that text has been skipped. An ellipsis can be used in mathematical notation for the same purpose as with composition, but isn't interchangeable with the overline. But because many websites and other Internet services don't offer the entire range of possible characters, substitutes for full mathematical notation are often used for convenience.

When it comes to decimal numbers like a string of nines to the right of the decimal, you can either round up to a solid 1 or accept that adding more nines will approach but never reach 1.
That is more or less correct regarding the ellipsis in mathematics. It is generally used to signify that a number or trend continues. If it terminates, the last term is written; if not, it ends with the ellipsis. Such examples include infinite decimals (rational or irrational), sequences, series, recursive functions, and sets.
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