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In order to turn this process into an algorithm that can be run on actual hardware, one chooses a finite subset of E. Now we have F=F<sub>''n''</sub>={e<sub>1</sub>,e<sub>2</sub>,...,e<sub>n</sub>} a finite set, F a subset of E, and we wish to solve the problem
(**) ψ(''u<sub>n</sub>'',''e<sub>j</sub>'')=∫<sub>T</sub>''
with the goal that, as ''n'' increases to infinity (and F<sub>''n''</sub> increases to E), the solutions ''u<sub>n</sub>'' should converge to the solution ''u'' of (*)
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