4 ms·
I'd argue the case you're describing is mathematically simpler precisely because it is continuous.
by eternauta3k 1y ago
I'd argue the case you're describing is mathematically simpler precisely because it is continuous.
- Den_VR 1y agoYou’re practically describing the invention of Calculus.
- gugagore 1y agoRight, why is it a 4-connected grid instead of 8-connected, or any other topology, like a hex grid.
- bgnn 1y agoTrue, but the continuous solution is just a limit condition of tge discrete one. It doesn't make it any harder or easier, at least from what I know fron calculus. The software tools use numerical methods to solve this type of problems and they tend to divide the continuous substrate into a mesh of discrete elements to model them as lumped circuit elements so that we can represent them in a matrix and simulate the circuit using linear algebra. They often use random walk in their algorithm to find a mesh which introduces a minimum error.