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Generalized inverses of special matrices partitioned into blocks

Almeida, Regina de; Catarino, Paula; Patrício, Pedro; Vicente, M. A. Facas; Vitória, José

It is known the connection between the best approximation and Moore-Penrose invertibility. In particular, the best approximation pair of two affine subspaces is related to generalized invertibility of a block matrix of the form $\left[\begin{array}{cc} I_n & A\\ B & I_m\end{array}\right]$. In this paper, we address the Moore-Penrose inverse and the group inverse of a block matrix $\left[\begin{array}{cc} I_n & ...



The Buddying model in the clinical supervision of nurses: A scoping review prot...

Cruz, Nuno; Catarino, Paula; Costa, Cristina; Rosinhas, Ana; Silva, Mafalda

Introduction: The Buddying model has emerged as a promising approach to clinical nursing supervision, emphasizing the development of professional and personal competencies through structured, personalized peer support. It fosters a culture of continuous learning and intra-professional collaboration, contributing to the ongoing improvement of care quality and patient safety. Its adaptability across diverse clini...


Contributions of clinical simulation in the supervisory process of nursing stud...

Cruz, Nuno; Catarino, Paula; Costa, Cristina; Cunha, Helder; Flores, Paula; Silva, Mafalda

Introduction: Clinical simulation is a teaching and training methodology, used in clinical nursing supervision, that uses scenarios and tools to reproduce real healthcare situations. It allows knowledge to be applied, skills to be developed and attitudes to be refined in a controlled and safe environment, according to the level of knowledge and experience, reinforcing the acquisition and development of skills i...


Bidimensional extensions of balancing and Lucas-balancing numbers

Chimpanzo, J.; Catarino, Paula; Vasco, Paulo; Borges, Anabela

In this article bidimensional extensions of balancing and Lucas-balancing numbers are introduced, as well as some properties of these new bidimensional sequences.

Date: 2024   |   Origin: Repositório da UTAD

Elliptic Biquaternionic Sequence with Vietoris’ Numbers as Its Components

Catarino, Paula; Almeida, Regina De

In this study, we introduce an elliptic biquaternionic sequence with Vietoris’ numbers as its components and discuss some of its properties. Also, the generating function and some identities in terms of elliptic biquaternionic sequence with Vietoris’ numbers are given. Furthermore, the construction of this elliptic biquaternion sequence is presented using matrices that generate the quaternionic sequence where t...

Date: 2024   |   Origin: Repositório da UTAD

Application of the BenTaher-Rachidi method in numerical sequences

Vieira, Renata; Mangueira, Milena; Alves, Francisco Regis; Catarino, Paula

Este artigo apresenta a aplicação do estudo sobre o método de BenTaher-Rachidi para a resolução de sequências numéricas lineares e recorrentes de ordem superior. Assim, obtém-se a fórmula de Binet, pelo método de BenTaher-Rachidi, nas sequências de Lucas, Pell, Leonardo, Mersenne, Oresme, Jacobsthal, Padovan, Perrin e Narayana.


Inclusion of daily life elements in recent textbooks: students’ motivation for ...

Alves, Nelson; Aires, Ana Paula; Catarino, Paula

This paper focuses on the importance of students’ motivation to learn geometry. It focuses on the recent mathematics textbooks adopted for the school year 2022/23 and the integration of references to daily life and students’ experiences that can interest them and lead them to relate the subject contents to their daily lives. Based on the analysis of two new textbooks, we found that despite this integration, we ...

Date: 2023   |   Origin: Indagatio Didactica

A combinatorial interpretation of the Padovan Generalized Polynomial Sequence

Vieira, Renata; Alves, Francisco Regis Vieira; Catarino, Paula

Date: 2023   |   Origin: Repositório da UTAD

The construction of definitions through Padovan's Combinatorial Model: an inves...

Vieira, Renata; Alves, Francisco Regis Vieira; Catarino, Paula

Date: 2023   |   Origin: Repositório da UTAD

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