<P> In mathematics , a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output . Otherwise , a function is said to be a discontinuous function . A continuous function with a continuous inverse function is called a homeomorphism . </P>
<P> In mathematics , a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output . Otherwise , a function is said to be a discontinuous function . A continuous function with a continuous inverse function is called a homeomorphism . </P>
when is a function said to be continuous
when is a function said to be continuous
for which sufficiently small changes in the input result in arbitrarily small changes in the output .
for which sufficiently small changes in the input result in arbitrarily small changes in the output .