a b v = c . . nA vector can be designated a tensor of rank one.
aa ab ac ... an T2 = ba bb bc ... bn ca cb cc ... cn . . . . . . . . ma mb mc ... mnA rank-three tensor is represented with a cubic matrix, with components coming out of your computer screen.
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'One thing I have learned in a long life: that all our science, measured against reality, is primitive and childlike - and yet it is the most precious thing we have.'