Mathematical Style andtheTechnical Paper

Thedevelopment andexposition ofengineeringideas usually involve theextensive applicationofmathematical methods.Itiscertainly desirable thatthisshouldbethecase because onlyinthisway can experimental results be fitted intoa framework fromwhicha complete structure ofknowledge can beerected. Allthis iswellrecognized, andwe oftheradio-engineeringprofession havemadeextensive progressby thismethod.We havelearned thatknowledge isbuilt bya sortofdualprocess.Theprocess usually starts withthediscovery ofsome experimentaleffect which,afterbeingthesubject ofmany testsandmeasurements, appears to follow some lawcapable ofmathematical expression. Upontheassumption thatthelaw holds, further implications whichwouldappear tofollow fromthelaware derived bymathematical analysis. Thisleads us toa new setof physical facts whichshould thenbetrue,whereupon theseapparentfacts are puttothetest