Topic: Completeness Axiom of Real Numbers
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What is the completeness axiom in number theory?
The completeness axiom states that the real number system is "complete"; that is, there aren't any gaps in it. Another way of saying this is that you can't fit any more numbers onto the real number line. It is an axiom, which is to say that... Read More »
Source: http://answers.yahoo.com/question/index?qid=20090828112048AAp1eAK
What is the completeness axiom for R (extended reals R#)?
Every non-empty subset of R that has an upper bound in R has a least upper bound (supremum) in R Read More »
Source: http://answers.yahoo.com/question/index?qid=20110925002427AAN4msc
How does one complete this problem... Find two positive real numb...
The problem is complete. There is enough information there for it to be solved. Read More »
Source: http://wiki.answers.com/Q/How_does_one_complete_this_problem..._F...
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Completeness Axiom of Real Numbers
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x^3 + 27 = x^3 + 3^3 = (x + 3)(x^2 - 3x + 9) x^3 + 2x^2 - 16x - 32 = (x^2)(x + 2) - 16(x + 2) = (x + 2)(x^2 - 16) = (x + 2)(x - 4)(x + 4)
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Source: http://answers.yahoo.com/question/index?qid=20090902075801AAiRM7a
3. The set itself is upper-bounded, but it supreme is 1, and 1 does not belong to the set.
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