A nonlocal memory strange term arising in the critical scale homogenisation of a diffusion equation with a dynamic boundary condition
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Our main interest in this paper is the study of homogenised limit of a parabolic equation with a nonlinear dynamic boundary condition of the micro-scale model set on a domain with periodically place particles. We focus on the case of particles (or holes) of critical diameter with respect to the period of the structure. Our main result proves the weak convergence of the sequence of solutions of the original problem to the solution of a reaction-diffusion parabolic problem containing a `strange term'. The novelty of our result is that this term is a nonlocal memory solving an ODE. We prove that the resulting system satisfies a comparison principle.Keywords:
Dynamic equation
We study inference on the long-term causal effect of a continual exposure to a novel intervention, which we term a long-term treatment, based on an experiment involving only short-term observations. Key examples include the long-term health effects of regularly-taken medicine or of environmental hazards and the long-term effects on users of changes to an online platform. This stands in contrast to short-term treatments or ``shocks," whose long-term effect can reasonably be mediated by short-term observations, enabling the use of surrogate methods. Long-term treatments by definition have direct effects on long-term outcomes via continual exposure, so surrogacy conditions cannot reasonably hold. We connect the problem with offline reinforcement learning, leveraging doubly-robust estimators to estimate long-term causal effects for long-term treatments and construct confidence intervals.
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Les recentes modifications de la politique d'immigration en Australie ont accru la selection des immigrants (criteres d'utilite economique et sociale). Pres de 20 % de la population australienne ne parle pas aujourd'hui l'anglais comme premiere langue. Dans la milieu scolaire, cette proportion passe de 30 a 90 %. L'A. evalue les consequences a court terme et a long terme des modifications de la politique de l'immigration sur le systeme scolaire
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In this paper, we present a new stable and very dispersive boundary condition for the finite difference time domain (FD-TD) method. Compared with existing absorbing boundary conditions (ABC's), the new boundary condition has a similar computational complexity but much better absorbing performance. As well, the new boundary condition is more stable than presently existing ABC's.< >
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When I was eleven years old and just started at secondary school, a supply teacher took over my English class for a couple of weeks. She was young and inexperienced, but had a real passion for her subject and a desire to connect with us on a meaningful level. She asked us to write a story and said we should just step into it ourselves and tell the reader what we could see. I remember, for the first time, doing just that. As I wrote about the scene I experienced myself as in it and enjoyed the journey that my imagination took me on. Even now as I write this I can remember some lines from that story and the places I travelled to. It was a pivotal moment for me, and one that began my journey to becoming an English teacher.
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외식프랜차이즈는 지속적으로 증가하는 비즈니스 방법 중 하나이다. 외식 사업이 발전함에 따라 프랜차이즈와 같은 형태의 사업이 확대되어 경쟁이 심화되고 있다. 따라서 외식 프랜차이즈는 효과적인 마케팅 수단을 통해 고객과 소통하기 위해 노력한다. 고객은 구매 결정을 내리기 전에 오프라인과 온라인 모두를 통해 많은 양의 정보에 노출된다. 이러한 정보를 통해 고객은 단기 방문의도, 중기 방문의도, 장기 방문의도를 형성할 수 있다. 외식 프랜차이즈에서 정보원천의 중요성을 이해하면 단기, 중기 및 장기 방문 전략을 위한 마케팅 전략을 수립하는데 도움이 될 수 있다. 본 연구를 위해 설문조사는 2019년 8월 6일부터 8월 15일까지 약 10일 간 조사되어 302부가 회수되었고 SPSS 22.0을 이용하여 가설이 검증되었다. 분석 결과, 고객 경험과 제공 정보는 단기 방문의도에 유의한 영향을 미치는 것으로 나타났으나 구전은 유의한 영향을 미치지 않는 것으로 나타났다. 고객 경험, 구전, 그리고 제공 정보는 모두 중기 방문의도에 유의한 영향을 미치는 것으로 나타났다. 또한, 고객 경험과 구전은 장기 방문의도에 유의한 영향을 미치는 것으로 나타났으나 제공 정보는 장기 방문의도에 유의한 영향을 미치지 않는 것으로 나타났다. 마지막으로 본 연구를 통해 외식 프랜차이즈의 마케팅 전략에 따른 마케팅 채널 선정에 도움이 되는 전략적 시사점을 도출하였다.
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The paper discusses the correspondence between electromagnetic boundary conditions and interface conditions. In particular, the focus is on the synthetic approach where the interest is in finding material realizations for given boundary conditions. Material realizations are approximative but not unique because, especially if anisotropic and bianisotropic materials are allowed, there are different material classes with which any given boundary condition can be mimicked. As examples, the PEC, PMC, PEMC, and DB boundary conditions are discussed. By comparing the scattering characteristics, it is demonstrated how well certain extreme-parameter material realizations are able to simulate the boundary effect.
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