Gerenuk
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 Feb27 awarded Famous Question Jan27 revised Find maximum of a function of a complex argument added 469 characters in body Jan27 asked Find maximum of a function of a complex argument Jan27 asked Expansion of function in polar coordinates Jan26 comment What is unique about the Möbius transform? There are other maps which preserve angles, but are not bijective? Jan25 comment What is unique about the Möbius transform? This most interesting :) Jan25 accepted What is unique about the Möbius transform? Jan25 asked What is unique about the Möbius transform? Jan23 comment Define cosine naturally Indeed, I prefer axioms that are likely to match real-world cases. I think commutativity, associativity, invertibility (division) are a good fit. My thought was to continue this line and use the Frobensius theorem to circle in on complex number and their multiplication property. The main ingredient here is their cyclicality which isn't too abstract and is also likely to occur in natural processes. My exp() notation is just a sketch. I basically mean defining the multiplication of complex numbers. Jan22 comment Define cosine naturally I'd like to collect some axioms which are likely to occur in the real world and which single out the a "cyclic addition algebra" like $\exp(i\theta)$. Not sure what the correct term is. Next I assume this "real-world case" also happens to have a structure like the distributive law. This way I want to introduce cosine. Jan22 revised Define cosine naturally added 2 characters in body Jan22 asked Define cosine naturally Dec2 awarded Notable Question Nov30 revised Distance function to define finite ratio of hypercube volume added 263 characters in body Nov30 comment Distance function to define finite ratio of hypercube volume It still should be a maximal object inscribed in a unit cube. So scaling wouldn't do here. It should be something that extends into the corners more than a sphere. Nov30 asked Distance function to define finite ratio of hypercube volume Nov6 awarded Tumbleweed Nov1 asked Why the factorial in this analytical form of Dirichlet function? Oct30 revised Summarize binary sequences added 93 characters in body Oct30 asked Summarize binary sequences