Re: What is this property called?

"Tobbster" <[EMAIL PROTECTED]> wrote in message news:[EMAIL PROTECTED]
> Apologies for loose terminology. If f:X->Y, what is the name of the
> property of f whereby,
>
> f(a1x1 + a2x2 + a3x3 + ...) = a1 f(x1) + a2 f(x2) + a3 f(x3) + ...
>
> where the a's are real coefficients to form a linear combination,
> and the x's are in X.

For finite sums that property of f is simply called "linearity".
For infinite sums (series) I guess the property could be
called "linear convergence compatibility" or something ;-)

Dirk Vdm