A Contribution to the Vector and Tensor Analysis: Course by Zlatko Jankocic

By Zlatko Jankocic

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Extra resources for A Contribution to the Vector and Tensor Analysis: Course Held at the Department for Mechanics of Deformable Bodies September – October 1969

Sample text

We take N vector spaces (

We arenot going here to dis- cuss many possible applications of the described approach for the infinite dimensional case, but we only mention that this approach could be useful in many fields, e. g. theory of integral equations, quantum theory etc. e) We could go over from the introduced notation with four kinds of indices to the notation with unilateral indices in several consistent manners. First, we have to take into account two possibilities of collecting unilaterally the indices on the right- and left-hand side.

Theory of integral equations, quantum theory etc. e) We could go over from the introduced notation with four kinds of indices to the notation with unilateral indices in several consistent manners. First, we have to take into account two possibilities of collecting unilaterally the indices on the right- and left-hand side. Further, in each of these c&ses the order of unilateral indices can be taken eithe r bra, ket or ket, bra. In addition, the original tensor component &nd the corresponding component with unilateral indices must transform in the same way so that the correspondence established in one system of basis vectors re- m&ins conserved in any other system.

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