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I have recently gone into studying induction. I am having trouble in general performing such a proof and it is not so much that i dont understand what the induction is about but more the problem that I get the feeling that I don't posses the tools to perform such a proof.

example. I have seen in one induction example stating: floor[log(m) +1] = floor[log(m)+log(2)] and i am sure there is a logical calculation rule supporting this fact but i just dont know it and lots of others. Yet!

So i was hoping you guys could point me to an already existing set of rules that one will find very usefull when performing induction(rewriting algorithms) or help me create one here.

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  • $\begingroup$ If the context was algorithms, the logarithm in that statement was probably a logarithm base $2$, in which case the statement merely uses the fact that $\log_bb=$ for any base. \\ Your question really has nothing to do with induction: proofs by induction don’t necessarily even involve calculations in the sense that you have in mind. They appear in all areas of mathematics, and as a result, what you’re asking for is impossible: there’s simply too much ground to cover. $\endgroup$ Nov 4, 2016 at 15:12
  • $\begingroup$ So what you are saying Brian is that I should give up if god haven't gifted me with the ability to see these things on my own? I find that hard to believe. All mathmaticians must have started somewhere. $\endgroup$
    – Nulle
    Nov 4, 2016 at 16:57
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    $\begingroup$ No, I am not saying anything of the kind. I’m saying that you’re asking for something that doesn’t exist. $\endgroup$ Nov 4, 2016 at 17:01

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