Can somebody explain me the intution behind this equation?

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Can somebody explain me the name and/or intuition behind this equation?

dm(A,B)=max{∥(A−B)x∥:x∈Rn,∥x∥=1}

Kindly refer the equation here: Distance/Similarity between two matrices

EDIT: I posted it here as I didn't have enough reputation to comment and ask in the above question link. Thus, kindly vote the question if possible.