65,260 research outputs found

    Foreword

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    International Guidelines Against Impunity: Facilitating Accountability

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    Reasons for a consistent pattern of compromise when it comes to impunity for international crimes and human rights violations are discussed. Guidelines are presented for facilitating accountability for these crimes

    Foreword

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    The Trials of Concurrent Jurisdiction: The Case of Rwanda

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    The Case for an Orderly Resolution Regime for Systemically-Important Financial Institutions

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    Outlines the need to give the government authority to resolve a financial institution if its failure poses serious systemic risks, examines concerns and counterproposals, and offers recommendations and considerations for designing such a system

    Pro-Lie Groups: A survey with Open Problems

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    A topological group is called a pro-Lie group if it is isomorphic to a closed subgroup of a product of finite-dimensional real Lie groups. This class of groups is closed under the formation of arbitrary products and closed subgroups and forms a complete category. It includes each finite-dimensional Lie group, each locally compact group which has a compact quotient group modulo its identity component and thus, in particular, each compact and each connected locally compact group; it also includes all locally compact abelian groups. This paper provides an overview of the structure theory and Lie theory of pro-Lie groups including results more recent than those in the authors' reference book on pro-Lie groups. Significantly, it also includes a review of the recent insight that weakly complete unital algebras provide a natural habitat for both pro-Lie algebras and pro-Lie groups, indeed for the exponential function which links the two. (A topological vector space is weakly complete if it is isomorphic to a power RX\R^X of an arbitrary set of copies of R\R. This class of real vector spaces is at the basis of the Lie theory of pro-Lie groups.) The article also lists 12 open questions connected with pro-Lie groups.Comment: 19 page

    Solutions to the reconstruction problem in asymptotic safety

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    Starting from a full renormalised trajectory for the effective average action (a.k.a. infrared cutoff Legendre effective action) Γk\Gamma_k, we explicitly reconstruct corresponding bare actions, formulated in one of two ways. The first step is to construct the corresponding Wilsonian effective action SkS^k through a tree-level expansion in terms of the vertices provided by Γk\Gamma_k. It forms a perfect bare action giving the same renormalised trajectory. A bare action with some ultraviolet cutoff scale Λ\Lambda and infrared cutoff kk necessarily produces an effective average action ΓkΛ\Gamma^\Lambda_k that depends on both cutoffs, but if the already computed SΛS^\Lambda is used, we show how ΓkΛ\Gamma^\Lambda_k can also be computed from Γk\Gamma_k by a tree-level expansion, and that ΓkΛ→Γk\Gamma^\Lambda_k\to\Gamma_k as Λ→∞\Lambda\to\infty. Along the way we show that Legendre effective actions with different UV cutoff profiles, but which correspond to the same Wilsonian effective action, are related through tree-level expansions. All these expansions follow from Legendre transform relationships that can be derived from the original one between ΓkΛ\Gamma^\Lambda_k and SkS^k.Comment: 32 page

    Metal drilling with portable hand drills

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    Study of metal drilling solves problems of excessive burring, oversized holes, and out-of-round holes. Recommendations deal with using the proper chemical coolants, applying the coolants effectively, employing cutting oils, and dissipating the heat caused by drilling
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