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Completeness of the real numbers
Completeness of the real numbers

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PDF

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Situation 46: Division Involving Zero

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... If a number we try is not a zero, we still hope that it can give us some information about the zeros of the polynomial. For example, if we try a positive number (from the RZT) and it doesn’t work, do we need to try a larger number or can we stop and try a smaller number instead? This question can be ...
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... 2. Define the triangle numbers. How big is the nth triangle number? Geometric argument – If n is even, (n+1)(n/2). If n is odd, (n)((n+1)/2). These cases seem unnecessary to our algebraic eyes, but in the middle ages, before algebra, each of these was listed as a separate theorem described in words. ...
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Arithmetic Series - Henry County Schools

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6. Cardinality And The Strange Nature Of Infinity

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Lecture Notes on Elements of Discrete Mathematics: Sets, Functions

... It is clear that the graph of any function from A to B is a subset of A × B. It is sometimes convenient to talk about a function and its graph as if it were the same thing. For instance, instead of writing f (n) = 2n + 1, we can write: f = {h0, 1i, h1, 3i, h2, 5i, . . . }. This convention allows us ...
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Sequences and Series I. What do you do when you see sigma

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QUIZ/MIDTERM #1 SOLUTIONS (1) For each of the following

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Hyperreal number

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