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- Funcões reais de uma variável real: derivadas e suas aplicacõesPublication . Eusébio, Augusto; Cotrim, LuísIntrodução: A formação de base em Matemática dos estudantes que ingressam no ensino superior é muito variada. Desta forma, surge, naturalmente, uma falta de uniformidade nos conhecimentos prévios dos estudantes, à qual acresce, devido a fatores vários, uma falta de conhecimentos de base fundamentais. Este trabalho tem como principal objetivo apoiar os estudantes, a fim de que possam ultrapassar o mais possível as suas lacunas. Vamos abordar, de forma sucinta, a noção de derivada de uma função real de uma variável real e algumas das suas aplicações, cujo estudo uma parte dos estudantes iniciou no ensino secundário. Foi nossa preocupação apresentar alguns exemplos resolvidos para, posteriormente, apresentar exercícios cuja resolução ficará a cargo dos estudantes. Alguns dos exercícios apresentados foram retirados de provas de avaliação das UC de Análise Matemática e Métodos Quantitativos da Escola Superior de Tecnologia e Gestão do Politécnico de Leiria.
- Nutrient‐efficient catfish‐based aquaponics for producing lamb's lettuce at two light intensitiesPublication . Sebastião, Fernando; Vaz, Daniela C.; Pires, Cristiana L; Cruz, Pedro F; Moreno, Maria João; Brito, Rui M M; Cotrim, Luís; Oliveira, Nelson; Costa, Ana; Fonseca, André; Rodrigues, Maria; Ispolnov, Kirill; Bernardino, Raul; Vieira, JuditeBACKGROUND: Aquaponic systems are sustainable processes of managing water and nutrients for food production. An innovate nutrient-efficient catfish-based (Clarias gariepinus) aquaponics system was implemented for producing two cultivars of two leafy vegetables largely consumed worldwide: lamb's lettuce (Valerianella locusta var. Favor and Valerianella locusta var. de Hollande) and arugula (Eruca vesicaria var. sativa and Eruca sativa). Different growing treatments (4 × 2 factorial design) were applied to plants of each cultivar, grown at two light intensities (120 and 400 ∼mol m−2 s −1). During growth, several morphological characteristics (root length, plant height, leaf number, foliage diameter and biggest leaf length) were measured. At harvest, plants were weighed and examined qualitatively in terms of greenness and health status. Additionally, leaf extracts were obtained and used to determine total phenolic contents, antioxidant capacities, and levels of cytotoxicity to Caco-2 intestinal model cells. RESULTS: After a 5-week growth period, both lamb's lettuce cultivars presented high levels of greenness and health status, at both light intensities, particularly the var. de Hollande that also showed higher average performance in terms of plant morphology. In turn, arugula cultivars showed lower levels of greenness and health status, especially the cultivar E. vesicaria var. sativa submitted to direct sunlight during growth. In addition, plant specimens submitted to higher levels of light intensity showed higher contents in antioxidants/polyphenols. Cultivars with a higher content in antioxidants/polyphenols led to higher Caco-2 cell viability. CONCLUSION: For successful industrial implementation of the aquaponics technology, different and optimized acclimatizing conditions must be applied to different plant species and cultivars. © 2024 The Authors. Journal of The Science of Food and Agriculture published by John Wiley & Sons Ltd on behalf of Society of Chemical Industry.
- Matrix interpretation of multiple orthogonalityPublication . Branquinho, A.; Cotrim, L.; Moreno, A. FoulquiéIn this work we give an interpretation of a (s (d + 1) + 1)-term recurrence relation in terms of type II multiple orthogonal polynomials. We rewrite this recurrence relation in matrix form and we obtain a three-term recurrence relation for vector polynomials with matrix coefficients. We present a matrix interpretation of the type II multi-orthogonality conditions. We state a Favard type theorem and the expression for the resolvent function associated to the vector of linear functionals. Finally a reinterpretation of the type II Hermite-Padé approximation in matrix form is given.
- Production of parsley and pennyroyal with an African catfish-based aquaponics partially fed with yellow mealworms - Tenebrio molitorPublication . Bernardino, Raul; Vieira, Judite; Vaz, Daniela C.; Santos, Ounísia D.; Ribeiro, Vânia S.; Pires, Cristiana L.; Cotrim, Luís; Bernardino, SusanaInsects can be used as alternative protein/food sources. Here, a novel aquaponic system based on the African catfish (Clarias gariepinus) fed with 30% of yellow mealworms (YM) (Tenebrio molitor) as substitute feed to 100% of fish meal (FM) was employed to produce parsley (Petroselinum crispum) and pennyroyal (Mentha pulegium). The two systems implemented (30YW/70FM and 100FM - control) showed identical water quality parameters. The 30YW/70FM operation led to a reduction by 27% of the carbon footprint, relatively to the 100FM system. Plants cultivated in the 30YW/70FM aquaponic system led to lower plant biomass (↓∼75%), as stated by the statistically significant (p < 0.05) lower values of “plant height”, “foliage diameter”, “leaf number”, “biggest leaf length” and “root length”. Moreover, 100FM parsley showed higher levels of greenness (100%) and health status (97%) than the 30YW/70FM plants (↓50% greenness; ↓20% health status). Likewise, 100FM pennyroyal also showed higher levels of greenness (100%) and health status (100%) than 30YW/70FM pennyroyal (↓56 % greenness; ↓59% health status). Also, even if all plants presented equivalent levels of P, K, Ca and Fe, the plants grown in the 30YW/70FM system showed some Cl-accumulation (>7.0 g Cl.kg−1 for parsley and > 4.0 g Cl.kg−1 for pennyroyal, in dry weight) in the leaves and Cu and Mn accumulation in the roots (> 0.4 g.kg−1 in dry weight). The presence of high concentrations of Cl in T. molitor, and consequently in the water and fish faeces, might have caused some abiotic stress and toxicity to plant tissues, reducing plant growth.