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Question #2872d

Answer 1

A rank-m tensor is a mathematical object that represents `N^m` real numbers, where `N` is the dimension of space.

rank-0 Tensor: represents a single real number and is usually called a scalar. Examples of rank-0 tensors (scalars) are temperature, density etc.

rank-1 Tensor: represents N real numbers and is usually called vectors. Examples of rank-1 tensor (vector) are velocity, force, etc.

rank-2 Tensor: represents N^2 real numbers that can be arranged as a `N\timesN` matrix. Examples of rank-2 tensors are Moment-of-inertia, Riemann Curvature etc.