Search results for "Representations"

A Kato's second type representation theorem for solvable sesquilinear forms

2017

Kato's second representation theorem is generalized to solvable sesquilinear forms. These forms need not be non-negative nor symmetric. The representation considered holds for a subclass of solvable forms (called hyper-solvable), precisely for those whose domain is exactly the domain of the square root of the modulus of the associated operator. This condition always holds for closed semibounded forms, and it is also considered by several authors for symmetric sign-indefinite forms. As a consequence, a one-to-one correspondence between hyper-solvable forms and operators, which generalizes those already known, is established.

Representations of modules over a *-algebra and related seminorms

2008

Representations of a module X over a ∗-algebra A# are considered and some related seminorms are constructed and studied, with the aim of finding bounded ∗-representations of A#.

The culinary act in everyday life : definition and pilot study

2017

International audience; Cooking at home, according to studies, newspapers and social networks, has become increasingly popular. This is in opposition with the reduction of time spent in culinary preparation. While health discourses advocate consumer responsibility and invite them to consume a more balanced diet, we question the place of cooking in everyday life in France. The culinary act is a cycle of actions that leads to the realization of the desired dish. It is an integral part of the food act. A cycle starts either when you find an idea or a recipe, or when selecting the ingredients. These actions are followed by the realization of the recipe, by technical means, and by conceptual and…

Instruction-based clinical eye-tracking study on the visual interpretation of divergence : how do students look at vector field plots?

2018

Relating mathematical concepts to graphical representations is a challenging task for students. In this paper, we introduce two visual strategies to qualitatively interpret the divergence of graphical vector field representations. One strategy is based on the graphical interpretation of partial derivatives, while the other is based on the flux concept. We test the effectiveness of both strategies in an instruction-based eye-tracking study with N = 41 physics majors. We found that students’ performance improved when both strategies were introduced (74% correct) instead of only one strategy (64% correct), and students performed best when they were free to choose between the two strategies (88…

Aspects of values in human-technology interaction design : a content-based view to values

2011

Le cinéma roumain pendant la période communiste : représentations de l'histoire nationale

2011

The subject of this PhD dissertation is the historical reconstructions films produced in Romania under communist rule and more precisely between 1960 and 1989. It analyses the social and cultural significance of the representation of national past but also the social and political aspects involved in the production process. In order to understand these research objectives our approach we stress first various logics which chairing the state action towards the culture and in particular towards the cinematography. We intend to analyze the economic, political and ideological conditions of the film production, the directives concerning the general thematic and the orientation that the party trie…

Describir y dibujar en ciencias. La importancia del dibujo en las representaciones mentales del alumnado

2015

El presente trabajo pretende valorar los resultados obtenidos mediante la utilización del dibujo y de las descripciones a lo largo de una actividad basada en la observación de la morfología de las hormigas. Se plantea un trabajo individual y autónomo donde los participantes, en 3 etapas diferentes, deben tratar de dibujar o describir su observación de muestras vivas de hormigas. Los resultados de la investigación son muy significativos, puesto que encontramos diferencias estadísticas entre la utilización de las dos estrategias, así como entre las producciones de cada etapa, pudiendo ver cómo evolucionan sus representaciones mentales. Evidenciamos, de esta manera, que la estrategia de dibuja…

Use of deep learning methods to translate drug-induced gene expression changes from rat to human primary hepatocytes

2020

In clinical trials, animal and cell line models are often used to evaluate the potential toxic effects of a novel compound or candidate drug before progressing to human trials. However, relating the results of animal and in vitro model exposures to relevant clinical outcomes in the human in vivo system still proves challenging, relying on often putative orthologs. In recent years, multiple studies have demonstrated that the repeated dose rodent bioassay, the current gold standard in the field, lacks sufficient sensitivity and specificity in predicting toxic effects of pharmaceuticals in humans. In this study, we evaluate the potential of deep learning techniques to translate the pattern of …

Frontoparietal cortex and cerebellum contribution to the update of actual and mental motor performance during the day

2016

AbstractActual and imagined movement speed increases from early morning until mid-afternoon. Here, we investigated the neural correlates of these daily changes. Fifteen subjects performed actual and imagined right finger opposition movement sequences at 8 am and 2 pm. Both actual and imagined movements were significantly faster at 2 pm than 8 am. In the morning, actual movements significantly activated the left primary somatosensory and motor areas, and bilaterally the cerebellum; in the afternoon activations were similar but reduced. Contrast analysis revealed greater activity in the cerebellum, the left primary sensorimotor cortex and parietal lobe in the morning than in the afternoon. Im…

A note on the Lawrence-Krammer-Bigelow representation

2002

A very popular problem on braid groups has recently been solved by Bigelow and Krammer, namely, they have found a faithful linear representation for the braid group B_n. In their papers, Bigelow and Krammer suggested that their representation is the monodromy representation of a certain fibration. Our goal in this paper is to understand this monodromy representation using standard tools from the theory of hyperplane arrangements. In particular, we prove that the representation of Bigelow and Krammer is a sub-representation of the monodromy representation which we consider, but that it cannot be the whole representation.