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ELECTROMAGNETIC FIELDS AND THEORY: FIELDS AND VECTORS:
Finite differences/Lineal Integral
1.3 Finite differences



the
differential displacements described in expressions such
[4] can be
approximated with small finite displacements. Further on we will study how
small must these steps be in order to obtain an adequate analysis from a
discrete point of view. We will also see how, in general, that the smaller these movements are, more precise will the results be. However, it has a limit related to the format used for the numbers. Diminution larger than certain magnitudes cause, especially in simulations, mistakes due to the truncation of certain quantities. To this we refer in the successiveness as “numeric noise”. 

1.4 Line integral.
Each
element of the addition, in the case of a rectangular system of coordinates
will be equal to,





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