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Explanation based In-Context Demonstrations Retrieval for ...Grammatical error correction (GEC) aims to correct grammatical, spelling, and semantic er- rors in natural language text. With the grow-. IMPORTANT NOTICE - ????????Confirmation of Your Representation: You have accessed the attached document on the basis that you have confirmed to XI HAI AN 2019 LIMITED (the Preconditioners based on ?Parareal? Time-Domain Decomposition ...Abstract We consider optimization problems governed by time-dependent parabolic PDEs and discuss the construction of parallel preconditioners based. Solution Techniques for the Stokes System: A Priori and A Posteriori ...This article proposes modifications to standard low order finite element ap- proximations of the Stokes system with the goal of improving both the approximation. Hamburger BeiträgeAn appropriate choice is therefore the L2 projection of the control space to a lower level, which is realised approximately by a simple an l2 analysis of the boltzmann-grad limitThe linear collision operator L defined by (A.1) is a nonnegative un- bounded self-adjoint operator on L2(Mdv) with domain. D(L) = {g ? L2(Mdv)|ag ? L2(Mdv)} = Convergence of a finite volume scheme for the compressible Navier ...We have constructed solution on a space-periodic domain ?. When considering a polyhedral domain, the existence of smooth solutions remains open and may be a A Domain Decomposition Method for Elliptic Boundary Value ...The fact that the consistent pressure Poisson operator is an L² operator makes it harder to invert than the standard (H¹) Laplace operator. A domain Approximating L2-signatures by their compact analoguesFor smooth manifolds with boundary, the L2-signature of course is defined in terms of the intersection pairing on L2-homology. On the other hand L2-Betti numbers in group theory - Clara Löh - Universität RegensburgThis is an extended version of the lecture notes for a five lecture mini- course at the MSRI summer graduate school Random and arithmetic struc-. ON L2-INDEX THEOREMS FOR COMPLETE MANIFOLDS OF ...operator acting on the smooth sections of a hermitian vector bundle E over M. Now E has a Clifford module structure and a metricconnection, V, compatible with. ????4 ????:???????????????????????? organized in additional to mid-term test ????? 1.3?????????????????
