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The ones I can think of right now:

  1. Location of a person
  2. Temperature at every latitude and longitude (all looked at once)

I can think of more examples but they are just - calculating one quantity for several things or at several places.

What are some other interesting examples of concepts that are inherently multivariable?

I realise that this is way too open ended for Math Stack Exchange, but I don't know where else to ask it.

user1752323
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  • By "multivariable range" do you simply mean that it has multiple arguments? Then the entire supervised machine learning. – Dmitry Jul 24 '20 at 03:27
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    Consider not just position but time too as a variable – J. W. Tanner Jul 24 '20 at 03:31
  • @Dmitry No no, I mean something like $f(x_1, x_2) = (x_1+x_2, sin(x_1), cos(x_2))$ – user1752323 Jul 24 '20 at 03:37
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    imagine (at a fixed instant of time) the velocity of "every single" particle of air. This can be described as a function $\phi:\Bbb{R}^3 \to \Bbb{R}^3$, where for every point $p \in\Bbb{R}^3$, $\phi(p)\in\Bbb{R}^3$ describes the velocity (at that fixed instant of time) of the air particle which is at location $p$ – peek-a-boo Jul 24 '20 at 03:58
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    This is also called a vector field on $\Bbb{R}^3$. More generally, any vector field example from physics can answer your question (eg. the classical gravitational, electric and magnetic fields) – peek-a-boo Jul 24 '20 at 04:03

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