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Exactly the same is true of Maxwell's equations. The four we use today are different than the 20 he originally came up with; most of that reduction comes from v
by db48x 12y ago
Exactly the same is true of Maxwell's equations. The four we use today are different than the 20 he originally came up with; most of that reduction comes from vectorizing them, and they gain a lot of clarity by using vector-calculus operations such as gradient and curl.
Together these changes brush the computational complexities under the rug, and leave only the descriptive power of the laws:
* "the gradient of the electric field is proportional to the amount of electric charge"
* "the curl of an electric field is always zero"
* "the gradient of a magnetic field is always zero"
* "the curl of a magnetic field is proportional to the size of the electric current plus the amount of change in the electric field with respect to time".