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what is tensor

6 years ago


Answers : (1)


Dear Sambit

Tensors, defined mathematically, are simply arrays of numbers, or functions, that transform according to certain rules under a change of coordinates. In physics, tensors characterize the properties of a physical system, as is best illustrated by giving some examples (below).

A tensor may be defined at a single point or collection of isolated points of space (or space-time), or it may be defined over a continuum of points. In the latter case, the elements of the tensor are functions of position and the tensor forms what is called a tensor field. This just means that the tensor is defined at every point within a region of space (or space-time), rather than just at a point, or collection of isolated points.

The notation for a tensor is similar to that of a matrix (i.e., A=(a_(ij))), except that a tensor a_(ijk...), a^(ijk...), a_i^(jk)..., etc., may have an arbitrary number of indices

All the best


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6 years ago

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