Brian Asalone

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Any index that is summed over is called a dummy index, while one that is not summed over is a free index. Free indices can take any value—as long as the same index takes the same value in every term of an equation—while dummy indices don’t have a “value.” They are just shorthand for “add up every possible value of this index.”
The Biggest Ideas in the Universe: Space, Time, and Motion
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