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 Apr 17 awarded Notable Question Jul 2 awarded Curious May 17 awarded Popular Question Sep 21 awarded Custodian Aug 2 accepted Is this a function? Aug 2 comment Is this a function? I understand now, thank you. Aug 2 comment Is this a function? Book of Proof by Richard Hammack. Chapter 12.1, question #12. Aug 2 asked Is this a function? Aug 1 revised How many equivalence classes does $R$ have? Improved formatting Aug 1 comment How many equivalence classes does $R$ have? We never learned to make diagrams of equivalence classes, sadly. Thanks for your explanation though. Aug 1 revised How many equivalence classes does $R$ have? Updated answer Aug 1 asked How many equivalence classes does $R$ have? Aug 1 comment Is the function $\theta(a,b) = a-2ab+b$ a bijection from $\{0,1\}\times\mathbb{N}$ to $\mathbb{Z}$? Thank you Andre and Rick, I understand it much better now. Aug 1 accepted Is the function $\theta(a,b) = a-2ab+b$ a bijection from $\{0,1\}\times\mathbb{N}$ to $\mathbb{Z}$? Aug 1 comment Is the function $\theta(a,b) = a-2ab+b$ a bijection from $\{0,1\}\times\mathbb{N}$ to $\mathbb{Z}$? N = {1,2,3,4...} Aug 1 asked Is the function $\theta(a,b) = a-2ab+b$ a bijection from $\{0,1\}\times\mathbb{N}$ to $\mathbb{Z}$? Jul 24 accepted The number $\frac{1}{\sqrt{5}}\left[\left(\frac{1+\sqrt{5}}{2}\right)^{n}-\left(\frac{1-\sqrt{5}}{2}\right)^n\right]$ is always an integer Jul 24 comment The number $\frac{1}{\sqrt{5}}\left[\left(\frac{1+\sqrt{5}}{2}\right)^{n}-\left(\frac{1-\sqrt{5}}{2}\right)^n\right]$ is always an integer It took me awhile to figure out what you wanted me to do, but I think I got it now. Thanks so much! Jul 23 revised The number $\frac{1}{\sqrt{5}}\left[\left(\frac{1+\sqrt{5}}{2}\right)^{n}-\left(\frac{1-\sqrt{5}}{2}\right)^n\right]$ is always an integer deleted 75 characters in body Jul 23 asked The number $\frac{1}{\sqrt{5}}\left[\left(\frac{1+\sqrt{5}}{2}\right)^{n}-\left(\frac{1-\sqrt{5}}{2}\right)^n\right]$ is always an integer