Bioactive Materials

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How would you know that 0 005 is not excluded from the value 0 In fact how would you know that any value is excluded The uncertainty might be extremely high The true value could

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It seems like you are assuming that 0v 0 to prove that 0v 0 which is a circular reasoning and proves nothing The trick is 0v 0 0 v 0v 0v Then add 0v and you get

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Prove that mn 0 if and only if m 0 and n 0 or m 0 and n 0 m n element of integers Just starting out teaching myself discrete math still really

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Do it by contra positive suppose m neq 0 neq n There exist k l in Bbb N such that m k and n l why Thus mn ml ml m ml k ml k

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I don t feel like I proved much here all my life I took for granted that 0x 0 was obvious but I really never even thought of questioning why that is so I want to get ahead and learn the basics of

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Same as it is in Euler s formula with complex numbers e xi e x sqrt 1 where x is a real number

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I can t figure out an algebraic proof for the following identity sum i 0 k n choose i m choose k i m n choose k Combinatorical solution We can see that as choosing some fro

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I am trying to prove this using mathematical induction but I m lost once I get to comparing the two sides of the equation Proposition For all integers n such that n 3 4 3 4 4 4 5

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Some people can be absolutely sure and at the same time absolutely wrong In this case you are one of those people A language is a set of strings A language is not the rules that were used to express