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Tensor facts for kids

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A tensor is a mathematical object. Tensors provide a mathematical framework for solving physics problems in areas such as elasticity, fluid mechanics and general relativity. The word tensor comes from the Latin word tendere meaning "to stretch".

A tensor of order zero (zeroth-order tensor) is a scalar (simple number). A tensor of order one (first-order tensor) is a linear map that maps every vector into a scalar. A vector is a tensor of order one. A tensor of order two (second-order tensor) is a linear map that maps every vector into a vector (e.g. a matrix).

In linear algebra, the tensor product of two vector spaces V_1 and V_2, V_1 \otimes V_2, is itself a vector space. It is a way of creating a new vector space analogous of multiplication of integers.

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