An Arithmetical Theory of Certain Numerical Functions (Classic Reprint)

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Excerpt from An Arithmetical Theory of Certain Numerical Functions A functional form 1w whose expressed form is divisible by only and units is, if t is distinct from a unit, a prime form, and Mn) is a prime function. If H is a primitive form, which is also a prime form, H is a prime primitive, if H is in addition algebraic then H is an algebraic prime primitive, etc. With the exception of assigning a meaning to W where W, m are functional forms [this is done in to the definitions, etc., of 3 provide sufficient material for the accomplishment of (i) and (ii). But, in order to derive the properties of the W with a minimum of calculation, and also to make the processes and foundation sufficiently broad to support several duals Of arithmetic, the further consideration of the It, and their properties so far defined, is based upon the theory of sets, characteristics, and generators, the first two of which, themselves have an arithmetical theory. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com 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.