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$\begingroup$

For example, if I have the energy per unit time per unit area, do I formally interpret that as:

$$\frac{E}{(dt)(dA)}$$

and intuitively interpret it as how much energy is in an infinitesimal area in an infinitesimal interval of time?

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    The answer is yes on both parts there, much like acceleration is unit of distance per unit of time per unit of time – 2017-01-25
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    Ah, I see, thanks!!! – 2017-01-25
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    Yep while it might seem superfluous it can actually be very descriptive. This kind of construct is found frequently in physics – 2017-01-25
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    Yea I'm a physics major and I see this a lot. I always assumed what it meant but I wanted some confirmation. – 2017-01-25
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    Myself too, reason why I like to answer the physics questions here (and physics stack exchange) often. – 2017-01-25

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