$\displaystyle sup_{x \epsilon E} |f(x) - f(c)| < \varepsilon $

same as

$\displaystyle |f(x) - f(c)| < \varepsilon \forall x \epsilon E $

can i write any of the above as same thing? just want to be cleared about something.

thanks

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- Jun 17th 2013, 09:06 AMlawochekelfunction expression!
$\displaystyle sup_{x \epsilon E} |f(x) - f(c)| < \varepsilon $

same as

$\displaystyle |f(x) - f(c)| < \varepsilon \forall x \epsilon E $

can i write any of the above as same thing? just want to be cleared about something.

thanks - Jun 17th 2013, 09:22 AMemakarovRe: function expression!