For a scalar field of temperature, for example, let $$T(x,y,z)=10e^{-(x^2+y^2+z^2)}$$ where $T(x,y,z)$ is a function of temperature in terms of position variables $x, y$ and $z$. How can we visualize this?
I have seen in textbooks where they represented a scalar field as a 3D diagram, but surely the above function is 4-dimensional?
Thank you in advance for your help.
You could consider some cuts in the domain, for example for $x=$ constant or similar cutting plane.