# Joshua

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 15h accepted $\int_\gamma \frac{1}{z\sin z}dz$ where $\gamma$ is the circle $|z| = 5$ Dec18 comment $|p(z)| \leq M$ for $|z| \leq 1$ Show that $|p(z)| \leq M|z|^n$ for $|z| \geq 1$ Quite nice. Thank you! Dec18 accepted $|p(z)| \leq M$ for $|z| \leq 1$ Show that $|p(z)| \leq M|z|^n$ for $|z| \geq 1$ Dec18 asked $|p(z)| \leq M$ for $|z| \leq 1$ Show that $|p(z)| \leq M|z|^n$ for $|z| \geq 1$ Dec18 comment $\int_\gamma \frac{1}{z\sin z}dz$ where $\gamma$ is the circle $|z| = 5$ Right! That was a terrible mishap. Thank you. Dec18 asked $\int_\gamma \frac{1}{z\sin z}dz$ where $\gamma$ is the circle $|z| = 5$ Dec16 comment Proof of $\int_0^\infty \left(\frac{\sin x}{x}\right)^2 \mathrm dx=\frac{\pi}{2}.$ Since $\frac{sinx}{x}$ has a limit of $1$ as $x$ goes to $0$, why can't we just say the residue is $0$? Dec13 awarded Critic Oct22 awarded Disciplined Jul2 awarded Curious Apr22 awarded Popular Question Sep10 awarded Popular Question Jun10 revised Visualizing the group operation in higher homotopy groups added 4 characters in body Jun10 comment Visualizing the group operation in higher homotopy groups Yes, I'm thinking of it that way too - but why is only one coordinate changed? I would think that all the coordinates need to be changed... Jun10 asked Visualizing the group operation in higher homotopy groups Feb18 accepted Equivalence Relation in a Subgroup Feb18 comment Equivalence Relation in a Subgroup @TaraB, thx - that was bad - they are supposed to be H's. Feb18 revised Equivalence Relation in a Subgroup edited body Feb18 asked Equivalence Relation in a Subgroup Feb13 comment Group Isomorphism - Associativity - Change of Operator @ErikG., thx for your comments - I've since then created the proof.