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Most texts dealing with this subject assume that the reader is familiar with complex exponential functions. They also omit steps in mathematical transformations on the assumption that the reader can interpolate these steps. The purpose of this article is not to present new material but only to describe, in step-by-step fashion, the derivation of the formulas necessary to the solution of transmission-line problems and to demonstrate, by examples, how to use these formulas. This treatment will be helpful to students and to engineers not regularly confronted with transmission-line problems.