# Mathematical-function meaning

A rule for creating a "y" output from an "x" input. For example, the y value of the function

**f(x) = 15x**is 30 if x is 2.
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A rule for creating a "y" output from an "x" input. For example, the y value of the function **f(x) = 15x** is 30 if x is 2.

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The mathematical function log x or log x is one of the small group of transcendental functions, consisting only of the circular functions (direct and inverse) sin x, cos x, &c., arc sin x or sin-' x,&c., log x and e x which are universally treated in analysis as known functions.

The theory of utility above referred to, namely, that the degree of utility of a commodity is some continuous mathematical function of the quantity of the coin modity available, together with the implied doctrine that economics is essentially a mathematical science, took more definite form in a paper on "A General Mathematical Theory of Political Economy," written for the British Association in 1862.