Main user interface

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Let us say we have a model of electromagnetic field $A(t, \vec{x})$. I would imagine a user generate a sample of space-time points ${(t, \vec x)}$ him/herself as a numpy array samp, and call the instance of our model by inserting samp into the __call__ method of our model.

From this perspective, it is sufficient for our harmonic oscillator, or pendulum, to have one parameter $t$, and let the user insert either one time quantity, or an array of time quantities, generating the position.

We can make alternative interfaces, e.g. in the pendulum, I can imagine we insert the angle $\theta$, and generate the auxiliary variable $u$ and time $t$. Or inserting $u$, generating $\theta$ and $t$.