Science & Tech
function
mathematics
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Science & Tech
- Key People:
- Paul Painlevé Karl Weierstrass Émile Borel Edward Charles Titchmarsh Peter Gustav Lejeune Dirichlet
- Related Topics:
- special function root continuity Riemann zeta function recursive function
function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences. The modern definition of function was first given in 1837 by the German mathematician Peter Dirichlet: This relationship is commonly symbolized as y = f(x)—which is said “f of x”—and y and x are related such that for every x, there is a unique value of y. That is, f(x) can not have more than one value for the same x. ...(100 of 1058 words)