Excerpt from The Theory of Equations: With an Introduction to the Theory of Binary Algebraic Forms<br><br>We shall be employed mainly with such algebraical func tions as are rational and integral. By a rational function of a quantity is meant one which contains that quantity in a rational form only; that is a form free from fractional indices or radical signs. By an integral function of a quantity is meant one in which the quantity enters in an integral form only; that is never in the denominator of a fraction. The following expres sion for example in which n is a positive integer is a rational and integral algebraical function of a.<br><br>About the Publisher<br><br>Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com<br><br>This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work preserving the original format whilst repairing imperfections present in the aged copy. In rare cases an imperfection in the original such as a blemish or missing page may be replicated in our edition. We do however repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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