Let TF be the translation group of (F, ∇F ), that is the group of aﬃne automorphisms of (F, ∇F ) whose elements lift to translations of IRp .
Non abelian cohomology: the point of view of gerbed tower
The ob jects of CF (N ) are classiﬁed by H 1 (N , p′ F ), the 1-cohomology group of the sheaf of aﬃne F ) is deﬁned by an aﬃne C3 : IRn → IRp which is a 1-cocycle sections of p′ F .
Non abelian cohomology: the point of view of gerbed tower
Deﬁnition 1 Let D ⊆ IRp and F : D → IRq be a continuous mapping.
Componentwise condition numbers of random sparse matrices
Using the notation from , for smooth functions h : IRp → IR, we let Dh denote the vector of ﬁrst partial derivatives of h, and in general Dk the k th derivative of h; k h k denotes the supremum norm.
Joint Vertex Degrees in an Inhomogeneous Random Graph Model
For a vector b ∈ IRp we let k b k= max 1≤i≤p |bi |.
Joint Vertex Degrees in an Inhomogeneous Random Graph Model
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