[Merged by Bors] - feat(linear_algebra/affine_space): affine combinations for finsets #3122
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Extend the definitions of affine combinations over a `fintype` to the case of sums over a `finset` of an arbitrary index type (which is appropriate for use cases such as affine independence of a possibly infinite family of points), with the original definitions and results for a `fintype` (which is appropriate for more concrete use cases such as barycentric coordinates in a triangle, where the type is `fin 3`) then being defined using those definitions and `finset.univ`.
jcommelin
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Jun 22, 2020
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Hmm, seems there are still some small problems. But overall, I'm happy with how this looks. bors d+ |
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bors r+ |
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…3122) Extend the definitions of affine combinations over a `fintype` to the case of sums over a `finset` of an arbitrary index type (which is appropriate for use cases such as affine independence of a possibly infinite family of points). Also change to have only bundled versions of `weighted_vsub_of_point` and `weighted_vsub`, following review, so avoiding duplicating parts of `linear_map` API.
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…eanprover-community#3122) Extend the definitions of affine combinations over a `fintype` to the case of sums over a `finset` of an arbitrary index type (which is appropriate for use cases such as affine independence of a possibly infinite family of points). Also change to have only bundled versions of `weighted_vsub_of_point` and `weighted_vsub`, following review, so avoiding duplicating parts of `linear_map` API.
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Extend the definitions of affine combinations over a
fintypeto thecase of sums over a
finsetof an arbitrary index type (which isappropriate for use cases such as affine independence of a possibly
infinite family of points).
Also change to have only bundled versions of
weighted_vsub_of_pointand
weighted_vsub, following review, so avoiding duplicating partsof
linear_mapAPI.