Tensorial analysis of transmission systems — IV

THIS ARTICLE undertakes something unique in the application of mathematical methods to the solution of physical problems. It has long been universally believed by engineers and mathematicians that if a very long and complicated problem is given, it is not possible to cut the problem into several shorter and simpler parts, solve each part separately, then interconnect the partial solutions, in order to arrive thereby at the exact solution of the original complex system itself. People always argued that it is necessary to have available the answer to the entire problem first, before an answer valid to only one portion of it may be arrived at. It was argued that one must know the effects of forces impressed at the farthest corner of an assembly, before the behavior of the nearest group could be predicted.