Toeplitz Operators on Two Poly-Bergman-Type Spaces of the Siegel Domain D2⊂C2D_2 \subset \mathbb{C}^2 with Continuous Nilpotent Symbols

We describe certain $C^*$-algebras generated by Toeplitz operators with nilpotent symbols and acting on a poly-Bergman type space of the Siegel domain $D_{2} \subset \mathbb{C}^{2}$. Bounded measurable functions of the form $\tilde{c}(\zeta) = c(\text{Im}\, \zeta_{1}, \text{Im}\, \zeta_{2} - |\zeta_1|^{2})$ are called nilpotent symbols. In this work we consider symbols of the form $\tilde{a}(\zeta) = a(\text{Im}\, \zeta_1)$ and $\tilde{b}(\zeta) = b(\text{Im}\, \zeta_2 -|\zeta_1|^{2})$, where both limits $\lim\limits_{s\rightarrow 0^+} b(s)$ and $\lim\limits_{s\rightarrow +\infty} b(s)$ exist, and $a$ belongs to the set of piece-wise continuous functions on $\overline{\mathbb{R}}=[-\infty,+\infty]$ and with one-sided limits at $0$. We describe certain $C^*$-algebras generated by such Toeplitz operators that turn out to be isomorphic to subalgebras of $M_n(\mathbb{C}) \otimes C(\overline{\Pi})$, where $\overline{\Pi}=\overline{\mathbb{R}} \times \overline{\mathbb{R}}_+$ and $\overline{\mathbb{R}}_+=[0,+\infty]$

Toeplitz Operators Acting on True-Poly-Bergman Type Spaces of the Two-Dimensional Siegel Domain: Nilpotent Symbols

We describe certain $C^*$-algebras generated by Toeplitz operators with nilpotent symbols and acting on a poly-Bergman type space of the Siegel domain $D_{2} \subset \mathbb{C}^{2}$. Bounded measurable functions of the form $c(\text{Im}\, \zeta_{1}, \text{Im}\, \zeta_{2} - |\zeta_1|^{2})$ are called nilpotent symbols. In this work we consider symbols of the form $a(\text{Im}\, \zeta_1) b(\text{Im}\, \zeta_2 -|\zeta_1|^{2})$, where both limits $\lim\limits_{s\rightarrow 0^+} b(s)$ and $\lim\limits_{s\rightarrow +\infty} b(s)$ exist, and $a(s)$ belongs to the set of piece-wise continuous functions on $\overline{\mathbb{R}}=[-\infty,+\infty]$ and having one-side limit values at each point of a finite set $D\subset \mathbb{R}$. We prove that the $C^*$-algebra generated by all Toeplitz operators $T_{ab}$ is isomorphic to $C(\overline{\Pi})$, where $\overline{\Pi}=\overline{\mathbb{R}} \times \overline{\mathbb{R}}_+$ and $\overline{\mathbb{R}}_+=[0,+\infty]$.Comment: arXiv admin note: substantial text overlap with arXiv:2306.0238

Towards a Formalization of a Framework to Express and Reason about Software Engineering Methods

Software Engineering is considered a knowledge-intensive discipline, in which knowledge creation, collection and sharing is an uninterrupted process. However, a large part of this knowledge exists in a tacit form and depends on practitioners. Therefore defining a mechanism to transform tacit knowledge into explicit one is of upmost importance. This paper presents a formalization approach to represent Software Engineering practitioners' tacit knowledge, which is related to their ways of working, as a set of explicit statements. The formalization is based on KUALI-BEH, which is a normative kernel extension of ESSENCE formal specification, and consists of three parts: an ontology to share a common representation of knowledge as a set of concepts; a Situational Method Engineering based algebra that represents well-defined method properties and operations; and a knowledge representation of the ontology and algebra using Description Logics. The main objectives of this initial formalization are to improve communication among humans and machines, computational inference and reuse of knowledge

Description of the female of Poeciloxestia plagiata (Waterhouse, 1880), and of the male of Iuati spinithorax Martins & Galileo, 2010 (Coleoptera, Cerambycidae)

Based on material recently collected in Peru (Loreto department) the female of Poeciloxestia plagiata (Waterhouse, 1880), and the male of Iuati spinithorax Martins & Galileo, 2010 are described and figured for the first time. Both species are recorded for the first time from Peru

Description of the female of Poeciloxestia plagiata (Waterhouse, 1880), and of the male of Iuati spinithorax Martins & Galileo, 2010 (Coleoptera, Cerambycidae)

Based on material recently collected in Peru (Loreto department) the female of Poeciloxestia plagiata (Waterhouse, 1880), and the male of Iuati spinithorax Martins & Galileo, 2010 are described and figured for the first time. Both species are recorded for the first time from Peru

Impacto de las tecnologías de la información y comunicación en el aprendizaje y motivación en un grupo de estudiantes de segundo básico

Tesis (Profesor de Educación General Básica, Licenciado en Educación)El siguiente seminario de grado fue realizado para determinar el impacto que puede ejercer el uso de tecnologías de información y comunicación en el aprendizaje y motivación en un grupo de estudiantes de segundo en la asignatura de historia. A lo largo de este artículo realizaremos un análisis sobre las tecnologías de la información y la comunicación (TIC) entendidas éstas como: un conjunto de técnicas, desarrollos y dispositivos avanzados derivados de las nuevas herramientas (software y hardware), soportes de la información y canales de comunicación que integran funcionalidades de almacenamiento, procesamiento y transmisión digitalizados de la información. La incorporación de las TIC en la sociedad y en especial en el ámbito de la educación ha ido adquiriendo una creciente importancia y ha ido evolucionando a lo largo de estos últimos años, de tal manera que la utilización de estas tecnologías en el aula pasará de ser una posibilidad a erigirse como una necesidad. La aparición de las nuevas tecnologías ha supuesto un cambio profundo en una sociedad que no en vano ha pasado a recibir el nombre de sociedad de la información. En nuestro actual entorno y gracias a herramientas como Internet, la información está disponible en cantidades ingentes al alcance de todos. Tras la recolección de datos, estos fueron tabulados y analizados, estableciendo como resultado la existencia notoria entre la motivación y buenos resultados de los estudiantes con el mayor uso de TIC.The following degree was conduct to determine the impact that the use of information and communication technologies can have on learning and motivation in a group of second-grade students in the history subject. Throughout this article, we will carry out an analysis on information and communication technologies (ICT) understood like, "The set of technologies developed to manage information and send it from one place to another." They cover a wide range of solutions. They include technologies to store information and retrieve it later, send and receive information from one site to another, or process information to calculate results and prepare reports "(ICT Services, 2006). The incorporation of ICT in society and especially in the field of education has become increasingly important and has evolved over recent years, so that the use of these technologies in the classroom will go from being a possibility to establish itself as a necessity and as a basic work tool for teachers and students. The emergence of new technologies has meant a profound change in a society that has in not in vain has known as the information society. In our current environment and thanks to tools such as the Internet, information is available in huge amounts available to everyone. After the data collection, these were tabulate and analyze, establishing as a result the notable existence between the motivation and good results of the students with the greater use of ICT

Aumento de la informalidad en Colombia a causa de la coyuntura actual

Colombia se encuentra en un momento histórico en la economía, estamos frente a posiblemente la mayor crisis económica de la historia, donde se reflejan tres periodos claves que dieron un estallido dentro del país, lo cual ha generado que Colombia tenga un aumento en la ocupación informal. El primer periodo clave surge en el año 2016 a causa de la crisis petrolera donde las caídas de los precios del petróleo se desplomaron, a causa de las políticas tomadas por los Estados Unidos donde muchos países que dependían en gran parte de sus ingresos del sector Minero-energético verían como su crecimiento económico se reducía periodo tras periodo, lo cual para Colombia que ha dependido gran parte de su economía a través de la extracción petrolera, y dejando de lado la producción de los demás sectores de la economía a este fenómeno lo conocemos como La Enfermedad Holandesa. El segundo periodo clave se debe a causa de la pandemia del Covid 19 donde nadie en el mundo esperaba los acontecimientos que trajo esta pandemia, muchos sectores de la economía Colombia, se han visto afectados, haciendo que muchos colombianos consideren cambiar el tipo de actividad que realizaban, aumentando de esta forma la informalidad en el mercado laboral. El ultimo perdió clave que se enfrenta Colombia es la inestabilidad política, en donde el pueblo colombiano ha manifestado sus descontentos con el gobierno, quien intento una reforma tributaria la cual perjudicaba en gran medida a la clase media quien en las economías contemporáneas son el motor de una economía estos hechos han encaminado a que se genere un aumento en informalidad, por otro lado tenemos en cuenta las grandes cantidades de personas provenientes de Venezuela lo cual trae consigo una gran cantidad de personas con una mano de obra mucho más barata que la colombiana lo que genera como consecuencia que muchos colombianos se vean desempleados, y deban acercarse a usar plataformas alternativas como lo son Rappi, Indriver, Uber entre otras que se traduce como un aumento significativo en la informalidad del mercado laboral colombiano.Universidad Libre Seccional Pereira -- Facultad de Ciencias Económicas, Administrativas y Contables -- Especialización en Alta GerenciaColombia is in a historical moment at the economy, we are facing possibly the greatest economic crisis in history, which reflects three key periods that gave an outbreak within the country, which has generated that Colombia has an increase in informal employment. The first key period arises in 2016 due to the oil crisis where the falls in oil prices collapsed, due to the policies taken by the United States where many countries that depended to a large extent on their income from the Mining sector -energetics would see how their economic growth was reduced period after period, which for Colombia, which has depended a large part of its economy through oil extraction, and leaving aside the production of other sectors of the economy we know this phenomenon like The Dutch Disease. The second key period is due to the Covid 19 pandemic where no one in the world expected the events that this pandemic brought, many sectors of the Colombian economy has been affected, causing many Colombians are considering changing the type of activity that carried out, thus increasing informality in the labor market. The last key loss that Colombia faces is political instability, where the Colombian people have expressed their dissatisfaction with the government, which attempted a tax reform which greatly harmed the middle class who in contemporary economies are the engine of an economy these events have led to an increase in informality, on the other hand we have another side we take into account the large numbers of people from Venezuela which brings with it a large number of people with a labor much cheaper than The Colombian one, which results in many Colombians looking unemployed, and must approach using alternative platforms such as Rappi, Indriver, Uber, among others, which translates into a significant increase in the informality of the Colombian labor market