The main goal of the paper is to obtain explicit integral representations of implicit functions whose existence is guaranteed by the implicit function theory. We derive the mentioned representation ...

Once implicit functions are determined, additional calculations are still needed to predict the specific conditions of microstructures.

Unlike recent work on 3D generative models which produce a single output representation, Shap-E directly generates the parameters of implicit functions that can be rendered as both textured meshes ...

Shaowu Li, Ye Liu, Analytical and Explicit Solutions to Implicit Wave Friction-Factor Equations Based on the Lambert W Function, Journal of Coastal Research, Vol. 34, No. 6 (November 2018), pp.