How to gain an intuition of the affine function's definition?

This is a nice question. My answer lies more in the abstract side. In a …

Convexity of a perspective of affine function. 1. Convexity of "perturbed" convex function. 1.

11. concave. {f <c} c. Let K be a closed convex set in a locally convex space X …

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An affine function is defined as $ T(\sum_{i=0}^n \alpha_iu_i) $ with $ …

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