Lattice Definition and 511 Threads

Hello all In a ordinary syatem of rectangular coordinates, the points for which both coordinates are integers are called lattice points . Prove that a triangle whose vertices are lattice points cannot be equilateral. Ok so I know that in a equilateral triangle the angle measures are...

What is the densiest space-filling polyhedra lattice?My first guess would be the cubic one, but i am not sure.

There is a new site called "Life on the Lattice" by Matthew Nobes which is what you might call a technical blog about Lattice QCD. He gets into some detail, but he is a clear guide, and it's not beyond the knowledge level of some I've seen post here. Give it a try, it's at...

Hi, I need some direction help. The problem I am facing is related to solutions of equations , where equations are montone functions over complete lattice , operators being meet and join and the solution set should range over elements of lattice. Normally data flow analysis problems in...

Does anybody know where I can find a good reference which describes in a simple way the relations between the Toda lattice and the Korteweg de Vries equation and in particular the former as the finite-dimensional equivalent of the latter?

It seems unlikely that space time is a lattice because it contradicts the fundamental assumptions and theories in physics. If space-time is a lattice its dimensions are likely to be on the order of the Plank time and distance scales. Opinions?

Hey all, I have a problem I'm working on. A 2 x 2 ising lattice, \ H = K_1\sum_{nn}\sigma_i\sigma_j \ + \ K_2\sum_{nnn}\sigma_i\sigma_j \ + \ K_3\sum_{sg}\sigma_i\sigma_j\sigma_k\sigma_l Were to find H as an explicit function the sigma's...

I really want to see the lattice wave.Who knows where could I get the software simulating it? Thank you very much!

by lattice, i mean definition 2 at http://en2.wikipedia.org/wiki/Complete+lattice . this is probably ill-posed but here goes nothing... is there a nonempty lattice such that the maximal element of the lattice is the whole lattice? so what i mean by a maximal element is an element b...

I'm reading "A Course in Advanced Calculus" by Robert Borden, and one of the problems begins as follows: "Prove that the field Q is a lattice, but not a (sigma)-lattice, under the usual order" (pg.25) Q is of course the rational numbers. However, Q doesn't seem to be a lattice, since...

Hi everyone! I would like to post a new thread, related to my research work: QFT on a lattice, i.e. on computers! Is anyone interested?