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location Calgary
age 20
visits member for 2 years, 6 months
seen Apr 20 at 21:24

I just finished my 3rd year of an Honours Pure Mathematics degree at the University of Calgary. I have done research on applications of simplicial complexes to tetrahedron packing and contact number problems in sphere packings, non-standard models of Peano arithmetic, diagonal distance in quantum error correcting codes, asymptotic combinatorics of modal frames and game theory applications, nilpotent orbit varieties, and bicyclic convex 4-polytopes. I also defined a sequent calculus for dynamic topological logic, wrote a computational chemistry paper introducing the notion of Benzene aromarings, am collaborating with physicists on a black hole physics paper, and am involved in a photovoltaic systems engineering project. I am also currently writing a book on the Geometric Analysis of Convex Bodies which studies the theory of rectification, the connection between elliptic curves and lattice packings, non-congruent sphere packing kissing numbers, homothetic translative covering problems, totally separable sphere packings, and the Mahler conjecture. Mathematically, my main goal before I finish my undergraduate is to prove the Mahler conjecture for certain classes of convex 3-polytopes and 4-polytopes and to finish my book project.


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revised Where can I find the full derivation of Helfrich's shape equation for closed membranes?
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Jun
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accepted Where can I find the full derivation of Helfrich's shape equation for closed membranes?
Jun
14
comment Where can I find the full derivation of Helfrich's shape equation for closed membranes?
@Signus: I've been working through your solution (finally I know all the prereqs, I think) and I'm relatively sure you messed up taking $\delta^{(1)} F_c$. But I could be wrong. I don't think there should be a square on the second $(2H+c_0)$. Am I right? If not, why is there a square there?
Jun
14
comment Where can I find the full derivation of Helfrich's shape equation for closed membranes?
This is close to what I needed, but was insanely confusing because before yesterday I didn't know what a Christoffel symbol was, let alone all of their crazy definitions. Looking back on it now, if I'd been up to speed on all my prereqs for this question, that would have been really useful. Thanks!
Jun
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awarded  Altruist
Jun
14
comment Where can I find the full derivation of Helfrich's shape equation for closed membranes?
Found it, it's being sent from another library and should be mine within 7 business days :). I didn't even know you could do that, thanks for the suggestion!
Jun
14
comment Where can I find the full derivation of Helfrich's shape equation for closed membranes?
How did you derive $\delta^{(1)}H$?
Jun
14
comment Where can I find the full derivation of Helfrich's shape equation for closed membranes?
Yes, I think so. Thank you!
Jun
14
comment Where can I find the full derivation of Helfrich's shape equation for closed membranes?
So, basically $\Psi \sim z(u,v)$? I have to say, I don't really see the point in that, and it doesn't realllyyy tell me what $\psi$ is either.... Also, I'll go into the library and ask tomorrow, good idea!
Jun
14
comment Where can I find the full derivation of Helfrich's shape equation for closed membranes?
Thank you!! Do you have any idea where I might find this book online? I'm an undergrad and definitely don't have 77$ to spend on it...
Jun
14
comment Where can I find the full derivation of Helfrich's shape equation for closed membranes?
let us continue this discussion in chat
Jun
14
comment Where can I find the full derivation of Helfrich's shape equation for closed membranes?
@Signus Do you own the book, or have a link to where I can find it? Google preview doesn't show page 67 so I'm still lost as to $\psi$. :(
Jun
13
comment Where can I find the full derivation of Helfrich's shape equation for closed membranes?
@Signus Don't worry about the $g$s, I've been reading that book and fully understand them now. Thank you for that reference. Google preview only goes up to page 47, but that seems like it's good enough... Is $\psi$ the inclination angle talked about on page 42?