Search results for "PROPERTY"
showing 10 items of 955 documents
Matrix algebras with degenerate traces and trace identities
2022
In this paper we study matrix algebras with a degenerate trace in the framework of the theory of polynomial identities. The first part is devoted to the study of the algebra $D_n$ of $n \times n$ diagonal matrices. We prove that, in case of a degenerate trace, all its trace identities follow by the commutativity law and by pure trace identities. Moreover we relate the trace identities of $D_{n+1}$ endowed with a degenerate trace, to those of $D_n$ with the corresponding trace. This allows us to determine the generators of the trace T-ideal of $D_3$. In the second part we study commutative subalgebras of $M_k(F)$, denoted by $C_k$ of the type $F + J$ that can be endowed with the so-called st…
Trace identities and almost polynomial growth
2021
In this paper we study algebras with trace and their trace polynomial identities over a field of characteristic 0. We consider two commutative matrix algebras: $D_2$, the algebra of $2\times 2$ diagonal matrices and $C_2$, the algebra of $2 \times 2$ matrices generated by $e_{11}+e_{22}$ and $e_{12}$. We describe all possible traces on these algebras and we study the corresponding trace codimensions. Moreover we characterize the varieties with trace of polynomial growth generated by a finite dimensional algebra. As a consequence, we see that the growth of a variety with trace is either polynomial or exponential.
Fixed oil from seeds of narrow-leaved ash (F. angustifolia subsp. angustifolia): Chemical profile, antioxidant and antiproliferative activities.
2019
Fraxinus angustifolia subsp. angustifolia is a plant with an age-old use for the production of manna. However, it is also a valuable source of fixed oil rich-seeds. In the present study we examined the chemical and biological properties of this oil in order to support a possible application in foodstuffs, nutraceuticals and cosmetics. Fatty acid composition, volatile and phenolic substances were evaluated. Oleic and linoleic acid represented 45.5% and 50.0%, respectively, of the total fatty acid composition. Among polar phenolic substances identified (secoiridoids, phenylethanoid glycosides, phenolic acids and alcohols, flavonoids, coumarins) isoverbascoside is for the first time reported i…
Hugo Grotius – Individual Rights as the Core of Natural Law
2014
The Dutch humanist Hugo Grotius’ status as an important forerunner of the Enlightenment is well recognized, bolstered by his famous etiamsi daremus-dictum in the Prolegomena of De iure belli ac pacis. Less well known is that Grotius was the first central Protestant thinker to redefine the concept of ius, so that it was understood as individual or subjective rights. His understanding of ius as a personal moral quality, which he subsequently delimits as the expletive justice or perfect right to one’s own (suum), was given a pivotal role in his system of natural law. These concepts of ius and suum, which Grotius differentiates from other rationally derived moral principles, inspired John Locke…
Our Progress Towards Virtue
2015
This chapter is about how we can improve our rational abilities, i.e. make progress towards virtue. I first show that, according to Chrysippus, the natural properties of children are usually corrupted in three ways when they grow up and that adults therefore can make progress only by solving their inner conflicts, becoming more steadfast in their practical reasoning, and improving their self-understanding. So I argue that the main remedy against corruption is to study philosophy. I detail how we can acquire a better self-understanding by studying physics and how we can cure the mind of its inconsistencies by studying logic. I also argue that ethics prepares the mind for an active life in wh…
Modelling biological and chemically induced precipitation of calcium phosphate in enhanced biological phosphorus removal systems
2011
The biologically induced precipitation processes can be important in wastewater treatment, in particular treating raw wastewater with high calcium concentration combined with Enhanced Biological Phosphorus Removal. Currently, there is little information and experience in modelling jointly biological and chemical processes. This paper presents a calcium phosphate precipitation model and its inclusion in the Activated Sludge Model No 2d (ASM2d). The proposed precipitation model considers that aqueous phase reactions quickly achieve the chemical equilibrium and that aqueous-solid change is kinetically governed. The model was calibrated using data from four experiments in a Sequencing Batch Rea…
A citar se aprende citando: experiencia didáctica en alfabetización académica
2017
Ante el problema relativamente extendido del plagio involuntario, nos plantemos la necesidad de fortalecer en el alumnado las competencias implicadas a la hora de insertar párrafos o ideas de otros autores en sus trabajos académicos. La presente experiencia didáctica es el resultado de varias fórmulas previas probadas con los estudiantes. Metodológicamente, para su análisis, nos valemos de un diseño de investigación acción, de manera que la observación y las respuestas de un cuestionario conducen a unas conclusiones que confirman el éxito de la experiencia. Esta se llevó a cabo con 212 estudiantes que inician su formación universitaria para ser maestros de Educación Primaria o Infantil. Par…
Eritrean teachers' perceptions of learner-centred interactive pedagogy
2021
In most sub-Saharan African countries, mainstreaming learner-centred interactive pedagogy (LCIP) is defined as a policy priority. Similarly, Eritrea has adopted the same policy to seek a solution to its educational challenges. Rather than rote mastery of course content, the LCIP approach prioritises learners in constructing knowledge through interaction, active participation and controlling the learning process. This paper explores secondary school teachers' perceptions of LCIP and their challenges in implementing this pedagogical approach. Constructivism and sociocultural learning theory are considered conceptual frameworks to highlight LCIP as an approach for teaching and learning. Qualit…
Developing a matrix framework for protein transition towards more sustainable diets
2021
PurposeThe purpose of this study is to propose a matrix framework to understand the interdependencies of domains and scales of protein transition towards diets based on plants and alternative sources of proteins.Design/methodology/approachThe abductive research approach is used in building the framework, and the proposed framework is illustrated using the regional food system in Central Finland as an example. Focus groups and interviews were used to collect qualitative data from 28 respondents.FindingsThis study provides a framework for protein transition, with five domains and five scale levels. Interactions between public and private governance activities at different scales, domains and …
Scaling-up processes: Patents and commercial applications
2020
There is currently a great demand for fish and seafood products. However, their high consumption produces large quantities of by-products that can be an ecological problem. That is why it is necessary to look for alternatives to revalue these products and give them a second life, thus reducing their environmental impact. In this sense, several investigations have been carried out in laboratories around the world to extract compounds from marine processing industry for the final high added-value products. Some of these compounds are collagen, omega 3 fatty acids, protein concentrates or chitin/chitosan, among others. Nevertheless, one of the critical steps for obtaining these compounds at th…