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In physics and engineering, tensors are most often used to represent deformation, stress, strain, and inertia.
A 'whole' tensor is independent of coordinate systems, but in a particular coordinate system, the components of a second-order tensor can be represented by a matrix.
A vector is a first-order tensor, and its components are ordered pairs or ordered triplets - which can also be thought of as column matrices. In physics and engineering, vectors are used to represent force, displacement, velocity, acceleration and spin.
Usage: Tensors were used by Einstein to represent the curvature of space.
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