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JOURNAL OF FACULTY OF CIVIL ENGINEERING 22, 2013.y., pp. 7-15


HOW TO DEFINE A TENSOR
 
DOI: 10.14415/zbornikGFS22.003
UDC: 514.763.5
CC-BY-SA 4.0 license
Author : Aleksandar Bakša
 
 Summary:
 This work proposes a way to define tensors, which is naturally imposed by the application of tensor calculation in mechanics. Taking as the staring point the problem of determining voltage, the voltage tensor is defined as a linear operator that transforms the covariant vector into a contravariant vector. The general type tensor is defined as the element of the tensor space - linear space, in which the tensor product is defined. From this definition it is possible to deduce the transformation method for tensor coordinates.
 
 Keywords:
 Vector space, dual space, tensor space.