Can you provide examples of problems that can be solved using affine transformations? What are affine coordinates?

Oct 8, 2023 ... ' 0:< DBG_INFO: Informational message: inaccurate edge-curve, but ... ' 0:< DBG_INFO: refineSpan is using the alternative affine span ... Dec 12, 2022 ... ... affine function of p. Then γ(a) (resp., α(a)) can be identified as a ... Aggregation, determinacy, and informational efficiency for a class. Jul 20, 2017 ... The local entropy density, regarded as a function of local densities of conserved quantities, is doubly affine, in that the entropy function is ... 2, we show that Example 2(b) is not degenerate and provide an infinite set of (affine) cost functions for which IBP occurs in this network. Similar to ... Dec 7, 2016 ... Then the value function v is affine on the cascade set CA = [¯π,1], but not on any extension of CA to the left, and so is strictly convex at ¯π. unique person-by-person optimal solution which is affine in the measure- ments of each player; this affine solution is also globally optimal (See. Radner [I] ... under optimal information structure must be a convex, piecewise affine function. Finally, if we regard u as the “integral distribution function” of the ... We concentrate on single-commodity networks and affine cost functions, for which we obtain the following results. First, we devise a fully polynomial-time ... Most commonly, the conditional mean of the response given the values of the explanatory variables (or predictors) is assumed to be an affine function of ... Mar 27, 2025 ... (relative to the full-information benchmark) under any symmetric profile of affine demand schedules. We then characterize the demand ...