Consider a functional, what is meant by a minimal sequence consistent of 'piecewise affine functions'?

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    $\begingroup$ $f$ is affine function, if $x\mapsto f(x)-f(0)$ is linear. $\endgroup$ – Berci Nov 2 '12 at 11:55
  • $\begingroup$ Could you give some context? $\endgroup$ – martini Nov 2 '12 at 12:10
  • $\begingroup$ I want to show that an minimum of an energy-functional does not exist. $\endgroup$ – AlexisZorbas Nov 2 '12 at 13:02
  • $\begingroup$ Is arctan an affine function? $\endgroup$ – AlexisZorbas Nov 2 '12 at 15:08
  • $\begingroup$ @AlexisZorbas Affine functions are those of the form $f(x)=ax+b$ for some constants $a$ and $b$. Of course, $\arctan$ is not of that form. $\endgroup$ – Mohsen Shahriari Jun 12 '15 at 9:17

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