The guiding objective in the preparation of this dictionary has been to make it useful for students, engineers, and others using mathematics in their professions, as well as to make it sufficiently complete to be a valuable reference book for anyone needing to understand some particular mathematical concept or wishing to extend his knowledge of mathematics.

A.
AD IN'FI-NI'TUM. Continuing without end (according to some law); denoted by three dots, as...; used, principally, in writing infinite series, infinite sequences, and infinite products.
AL-TER'NANT, n. A determinant for which there are n functions f1,f2, ... , fn (if the determinant is of order n) and n quantities r1, r2,...,rn for which the element in the ith column and jth row is fi(ri) for each i and j (this determinant with rows and columns interchanged is also called an alternant). The Vandermonde determinant is an alternant (see determinant).
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