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... Of course, thinking of 0 and −a in terms of addition leads to some interesting questions. Why is 0 times any number equal to 0? Why is the product of two negative numbers a positive number? More generally, what does multiplication by a negative number really mean? Is it still repeated addition? We w ...
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... under the actions of this system. So long, then, as our constant is relatively prime to the divisor in question, it will also not interfere with the divisibility, leaving a route’s divisibility determined entirely by the starting number. Also not widely used in the above proofs are anything special ...
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... Thus, if we start with 32 items to search, on subsequent iterations we will have 16, 8, 4, 2, and 1 item(s) in our search list. Thus, there were 5 iterations. Notice also that 25 = 32. So we are looking at log2 n. But for our example n was an exact power of 2. What if that is not the case? Suppose n ...
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Proofs of Fermat's little theorem

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