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Simple Proofs of Upper and Lower Envelopes of Van Der Pauw’s Equation for Hall-Plates with an Insulated Hole and Four Peripheral Point-Contacts
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作者 Udo Ausserlechner 《Journal of Applied Mathematics and Physics》 2022年第3期960-999,共40页
For plane singly-connected domains with insulating boundary and four point-sized contacts, C<sub>0</sub> &#8230;C<sub>3</sub>, van der Pauw derived a famous equation relating the two trans-... For plane singly-connected domains with insulating boundary and four point-sized contacts, C<sub>0</sub> &#8230;C<sub>3</sub>, van der Pauw derived a famous equation relating the two trans-resistances R<sub>01,23</sub>, R<sub>12,30</sub> with the sheet resistance without any other parameters. If the domain has one hole van der Pauw’s equation becomes an inequality with upper and lower bounds, the envelopes. This was conjectured by Szymański et al. in 2013, and only recently it was proven by Miyoshi et al. with elaborate mathematical tools. The present article gives new proofs closer to physical intuition and partly with simpler mathematics. It relies heavily on conformal transformation and it expresses for the first time the trans-resistances and the lower envelope in terms of Jacobi functions, elliptic integrals, and the modular lambda elliptic function. New simple formulae for the asymptotic limit of a very large hole are also given. 展开更多
关键词 Conformal Mapping Contraction process Doubly Connected Domains ENVELOPES Hall Plate Large Hole Angle Sheet Resistance Small Hole Angle Van Der Pauw
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A Benefit Measurement Framework for an Online Contract Change Management System
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作者 Tejas Oza 《Tsinghua Science and Technology》 SCIE EI CAS 2008年第S1期205-210,共6页
The contract change management (CCM) system is an online collaboration tool, which supports the contract change management process of new engineering contract (NEC) contract. It is currently used in practice on a wide... The contract change management (CCM) system is an online collaboration tool, which supports the contract change management process of new engineering contract (NEC) contract. It is currently used in practice on a wide range of civil, power, and building projects in the UK. The aim of this study is first to identify the tangible and intangible benefits of the system through a user survey; then to develop a framework to measure these benefits. A questionnaire survey is conducted, which reveals that CCM can help project teams improve process effectiveness, reduce risk of process failures, and increase the compliance with NEC requirements. Subsequently, a spreadsheet tool is developed to allow CCM users to calculate the tangible cost savings as a result of using the system. For intangible benefits, a change management maturity model (CM3) is developed, which provides a measurement framework for assessing the improvement of a project team’s capability in dealing with contract changes. 展开更多
关键词 contract change management IT benefit measurement capability maturity model benefit measurement framework new engineering contract (NEC) processes
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