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Figure 1: The framework in (a) is not globally rigid, but nonetheless it is the unique unit ball realization of the graph with the given edge lengths (up to congruences)....

Our objective in Section 4 is to extend, several results on curvature of a contractive tuple by Popescu [19, 20], for completely contractive, covari- ant representations of

We study several choice principles for systems of finite character and prove their equivalence to the Prime Ideal Theorem in ZF set theory without Axiom of Choice, among them

V ulpe , Classification of cubic differential systems with invariant straight lines of total multiplicity eight and two distinct infinite singularities,

To define the category of sets of which this type of sets is the type of objects requires choosing a second universe of types U 0 and an element u of U 0 such that U = El(u) where El

Our main result is a rough structural characterisation theorem for Cartesian products with bounded Hadwiger number.. It implies that if the product of two sufficiently large graphs

(C6.10) Describe your gross global combined Scope 1 and 2 emissions for the reporting year in metric tons CO2e per unit currency total revenue and provide any additional

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