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 Jul 22 answered Intuitive reasoning behind the Chain Rule in multiple variables? Jul 22 comment Intuitive understanding of the derivatives of $\sin x$ and $\cos x$ @:Eric: Yeh, so its only intuitive if you think about them as taylor series, rather than ratios of sides of triangles. As I said, it isn't exactly what was asked for, but i do think it gives you a better understanding of how the chain occurs. Jul 21 asked Simple explanation of a monad Jul 21 comment Intuitive understanding of the derivatives of $\sin x$ and $\cos x$ @Eric: The question was for an intuitive understanding, not an intuitive proof. Jul 21 comment Intuitive understanding of the derivatives of $\sin x$ and $\cos x$ @Akhil: Then write one or two sentences introducing it. A complete explanation is better, but not necessary Jul 21 comment Intuitive understanding of the derivatives of $\sin x$ and $\cos x$ @Akhil: You should give that as an answer Jul 21 answered Intuitive understanding of the derivatives of $\sin x$ and $\cos x$ Jul 21 comment Sum of reciprocals of numbers with certain terms omitted Wow, this is a very interesting result Jul 21 comment History of the Concept of a Ring How come you can write $x^p + y^p$ as $\prod (x+\zeta_p^i)$? Jul 21 comment Is there possibly a largest prime number? @mau: I still don't get the mistake? Jul 21 awarded Enlightened Jul 21 awarded Nice Answer Jul 21 awarded Mortarboard Jul 21 comment What are all the homomorphisms between the rings $\mathbb{Z}_{18}$ and $\mathbb{Z}_{15}$? Okay, so the annihilation leads to the mapping being a homomorphism as both rings are cyclic. Jul 21 awarded Scholar Jul 21 accepted Unital homomorphism Jul 21 revised Prove that $(n-1)! \equiv -1 \pmod{n}$ iff $n$ is prime added 51 characters in body Jul 21 comment Prove that $(n-1)! \equiv -1 \pmod{n}$ iff $n$ is prime For 2., it is vital that the inverse is unique. Otherwise, this is a very nice summary Jul 21 comment What are all the homomorphisms between the rings $\mathbb{Z}_{18}$ and $\mathbb{Z}_{15}$? What do you mean by $T \subset Z_{10}$? In fact, what do you mean by $T$? Jul 21 asked Unital homomorphism