diff --git a/README.md b/README.md index 5eb62aa..1cf69ac 100644 --- a/README.md +++ b/README.md @@ -55,13 +55,10 @@ PINN is a novel approach that involves neural networks to solve supervised learn #### Problem definition First step is formalization of the problem in the PINA framework. We take as example here a simple Poisson problem, but PINA is already able to deal with **multi-dimensional**, **parametric**, **time-dependent** problems. Consider: -$$ -\begin{cases} -\nabla u = \sin(\pi x) \sin(\pi y) & \quad\text{in}\, D,\\ -u = 0 &\quad\text{on}\, \Gamma_1 \cup\Gamma_2 \cup\Gamma_3 \cup\Gamma_4, \\ -\end{cases} -$$ -where $D= [0, 1]^2$ is a square domain, $\Gamma_1 \cup\Gamma_2 \cup\Gamma_3 \cup\Gamma_4$ are the boundaries and $u$ the unknown field. The translation in PINA code becomes a new class containing all the information about the domain, about the `conditions` and nothing more: +
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