63,063 research outputs found

    Understanding best practices in control engineering education using the concept of TPACK

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    This study aimed to design an integrated pedagogical approach to advance introductory Process Control Engineering Education through the application of the Technological Pedagogical Content Knowledge (TPACK) framework, and evaluating its impact on student learning. The research is initially being undertaken at Nottingham Trent University, UK but we will next adapt it to a case study in Libya. This paper aims to strengthen the teaching of introductory Process Control by using appropriate approach es in universities to improve the learning outcomes for students. From this work a new schematic for teaching Process Control ha s be en developed and, moreover, a thoughtful best practice in introducing Process Control in engineering education can be developed

    Palindromic Length of Words with Many Periodic Palindromes

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    The palindromic length PL(v)\text{PL}(v) of a finite word vv is the minimal number of palindromes whose concatenation is equal to vv. In 2013, Frid, Puzynina, and Zamboni conjectured that: If ww is an infinite word and kk is an integer such that PL(u)k\text{PL}(u)\leq k for every factor uu of ww then ww is ultimately periodic. Suppose that ww is an infinite word and kk is an integer such PL(u)k\text{PL}(u)\leq k for every factor uu of ww. Let Ω(w,k)\Omega(w,k) be the set of all factors uu of ww that have more than k1uk\sqrt[k]{k^{-1}\vert u\vert} palindromic prefixes. We show that Ω(w,k)\Omega(w,k) is an infinite set and we show that for each positive integer jj there are palindromes a,ba,b and a word uΩ(w,k)u\in \Omega(w,k) such that (ab)j(ab)^j is a factor of uu and bb is nonempty. Note that (ab)j(ab)^j is a periodic word and (ab)ia(ab)^ia is a palindrome for each iji\leq j. These results justify the following question: What is the palindromic length of a concatenation of a suffix of bb and a periodic word (ab)j(ab)^j with "many" periodic palindromes? It is known that PL(uv)PL(u)PL(v)\lvert\text{PL}(uv)-\text{PL}(u)\rvert\leq \text{PL}(v), where uu and vv are nonempty words. The main result of our article shows that if a,ba,b are palindromes, bb is nonempty, uu is a nonempty suffix of bb, ab\vert ab\vert is the minimal period of abaaba, and jj is a positive integer with j3PL(u)j\geq3\text{PL}(u) then PL(u(ab)j)PL(u)0\text{PL}(u(ab)^j)-\text{PL}(u)\geq 0

    Stable schedule matching under revealed preference

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    Baiou and Balinski (Math. Oper. Res., 27 (2002) 485) studied schedule matching where one determines the partnerships that form and how much time they spend together, under the assumption that each agent has a ranking on all potential partners. Here we study schedule matching under more general preferences that extend the substitutable preferences in Roth (Econometrica 52 (1984) 47) by an extension of the revealed preference approach in Alkan (Econom. Theory 19 (2002) 737). We give a generalization of the GaleShapley algorithm and show that some familiar properties of ordinary stable matchings continue to hold. Our main result is that, when preferences satisfy an additional property called size monotonicity, stable matchings are a lattice under the joint preferences of all agents on each side and have other interesting structural properties

    Parameterized model order reduction of delayed systems using an interpolation approach with amplitude and frequency scaling coefficients

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    When the geometric dimensions become electrically large or signal waveform rise times decrease, time delays must be included in the modeling. We present an innovative PMOR technique for neutral delayed differential systems, which is based on an efficient and reliable combination of univariate model order reduction methods, amplitude and frequency scaling coefficients and positive interpolation schemes. It is able to provide parameterized reduced order models passive by construction over the design space of interest. Pertinent numerical examples validate the proposed PMOR approach

    Methodology for environmental assessment of agri-environment schemes: the Agri Environmental Footprint Index

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    End of project reportAgri-environment schemes pay farmers for the provision of environmental services. Such schemes tend to have multiple measures that deliver multiple environmental objectives, and there is a lack of consistent methodology with which to measure the environmental benefits of such schemes. Funded by EU FP6, the Agri-Environment Footprint project (www.footprint.rdg.ac.uk) aimed to address this challenge, and this report provides results from selected components of the project.European Unio

    Group Strategyproof Pareto-Stable Marriage with Indifferences via the Generalized Assignment Game

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    We study the variant of the stable marriage problem in which the preferences of the agents are allowed to include indifferences. We present a mechanism for producing Pareto-stable matchings in stable marriage markets with indifferences that is group strategyproof for one side of the market. Our key technique involves modeling the stable marriage market as a generalized assignment game. We also show that our mechanism can be implemented efficiently. These results can be extended to the college admissions problem with indifferences

    hTERT protein expression is independent of clinicopathological parameters and c-Myc protein expression in human breast cancer

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    Background Telomerase is a ribonucleoprotein enzyme that synthesises telomeres after cell division and maintains chromosomal stability leading to cellular immortalization. Telomerase has been associated with negative prognostic indicators in some studies. The present study aims to detect any association between telomerase sub-units: hTERT and hTR and the prognostic indicators including tumour's size and grade, nodal status and patient's age. Methods Tumour samples from 46 patients with primary invasive breast cancer and 3 patients with benign tumours were collected. RT-PCR analysis was used for the detection of hTR, hTERT, and PGM1 (as a housekeeping) genes expression. Results The expression of hTR and hTERT was found in 31(67.4%) and 38 (82.6%) samples respectively. We observed a significant association between hTR gene expression and younger age at diagnosis (p = 0.019) when comparing patients ≤ 40 years with those who are older than 40 years. None of the benign tumours expressed hTR gene. However, the expression of hTERT gene was revealed in 2 samples. No significant association between hTR and hTERT expression and tumour's grade, stage and nodal status was seen. Conclusion The expression of hTR and hTERT seems to be independent of tumour's stage. hTR expression probably plays a greater role in mammary tumourogenesis in younger women (≤ 40 years) and this may have therapeutic implications in the context of hTR targeting strategies

    Fraying Ground/ RAG Urbanism

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