The elementary functions are denoted by (1), (12), (13), ...
The sum of the monomial functions of a given weight is called the homogeneous-product-sum or complete symmetric function of that weight; it is denoted by h.; it is connected with the elementary functions by the formula 1 7r1l7r2!7r3!
by the same law which expresses the power function s, in terms of the elementary functions a 1, a2, a3,...
The partitions with one bipart correspond to the sums of powers in the single system or unipartite theory; they are readily expressed in terms of the elementary functions.
in terms of elementary functions can be at once written down.
which expresses the elementary functions in terms of the single bipart functions.
This paper offers a glimpse of how Euler used infinitesimals and infinite series to compute differentials for the elementary functions.
The result of this is that the provably recursive functions of the theory are now exactly the Kalmar Elementary functions.
The word usage examples above have been gathered from various sources to reflect current and historial usage. They do not represent the opinions of YourDictionary.com.