Source: wikibot/cauchy-s-equation
= Cauchy's equation
{wiki=Cauchy's_equation}
Cauchy's equation, also known as Cauchy's functional equation, is a fundamental equation in functional analysis and is typically expressed as: \\\[ f(x + y) = f(x) + f(y) \\\] for all real (or complex) numbers \\( x \\) and \\( y \\), where \\( f \\) is a function. This equation represents a specific type of additive function.