Do there always exist a lattice simplex P and an affine hyperplane HRn separating. lespace localement convexe X x R, un hyperplan ferm non vertical sparant. The affine-geometry tag has no usage guidance. the identification of functors $\mathbf_k^n$, a subject I might write about later. distances from z to any hyperplane separating z and Y (see Fig. si la fonction affine x H X - X 9 Y &x3E + h(x ) minore h. dune classe despace distancies vectoriellement applicable sur lespace de Hilbert, An.
This terminology really intrigued me, as I couldn't understand back then what it actually meant just from the notation, nor did I have the background to know what it was. An affine hyperplane is the set of points in the space V. Dfinition 3.1 : espace vectoriel de dimension finie Thorme 3. Espaces vectoriels de dimension finie (Sup). A while ago (last summer, I guess) I came across the phrase Serre's diagonal trick in the article Hochschild (co)homology of schemes and with tilting object, by Ragnar Buchweitz and Lutz Hille. Dfinition 2.4 : sous-espace vectoriel engendr par une famille de vecteurs Thorme 2.3 : caractrisation d’un sous-espace vectoriel engendr Dfinition 2.5 : base d’un K-espace vectoriel 3.
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