Measure of the Shell-Thron Region Catullus Fellow Posts: 213 Threads: 47 Joined: Jun 2022   07/09/2022, 05:46 AM (This post was last modified: 08/14/2022, 09:02 PM by Catullus.) What is the area of the complex part of the Shell-Thron region? What about the measure of the 8 dimensional measure of the octonion Shell-Thron region? Please remember to stay hydrated. ฅ(ﾐ⚈ ﻌ ⚈ﾐ)ฅ Sincerely: Catullus /ᐠ_ ꞈ _ᐟ\ JmsNxn Ultimate Fellow Posts: 1,214 Threads: 126 Joined: Dec 2010 07/10/2022, 02:30 AM (07/09/2022, 05:46 AM)Catullus Wrote: What is the area of the complex part of the Shell-Thron region? What about the 8 dimensional measure of the octonion Shell-Thron region? The boundary of the shell thron region is traced as: $\gamma(\theta) = \exp\left(e^{i\theta-e^{i\theta}}\right)\\$ So pull out your double integral: $\int\int_{\mathcal{S}} 1\,dA\\$ Get calculating, we can't do everything for you... Doubt there's a closed form, but you might be able numerically evaluate. « Next Oldest | Next Newest »

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