Originally Posted by **Farsight** I'm a bit puzzled too. Can you give me some context to that? I say this because there's sometimes some misunderstanding of what the equations are saying. For example one of Maxwell's equations is known as Faraday's Law. It's usually written as ∇ × E = − ∂B/∂t.
But it's important to note that Maxwell unified electricity and magnetism to come up with the electromagnetic field. The electromagnetic field is a dual entity, wherein electric and magnetic fields are *“better thought of as two parts of a greater whole”. * The equation doesn't mean changing one field creates the other. The equals sign is an “is”. The curl of E is the time rate of change of B. Because they're two aspects of the same thing, the electromagnetic field. |

You raise some good points.

It is interesting that you should ask about the curl because this harps back to my [post 3] edit post 2

Not only is del cross E a function it is a vector valued function.

This is another way of saying it is really 3 equations shorthanded into one.

But to put any values into it you need to know all three equations.

This is why I asked about matrices (a determinant of in this case) and functions.

The function is of course a field function which describes the (vector valued) value of the field at any point in the domain.

This is why I was making the distinction between the solution of algebraic and differential equations.

It is also important to note the difference between an identity and an equation, although most people use the = sign for both.

Maxwell's are identities.