Imaginary-Time Time-Dependent Density Functional Calculation of Excited States of Atoms Using CWDVR Approach

We have calculated the energies of excited states for the He, Li, and Be atoms by the time dependent self-consistent Kohn Sham equation using the Coulomb Wave Function Discrete Variable Representation CWDVR) approach. The CWDVR approach was used the uniform and optimal spatial grid discretization to the solution of the Kohn-Sham equation for the excited states of atoms. Our results suggest that the CWDVR approach is an efficient and precise solutions of excited-state energies of atoms. We have shown that the calculated electronic energies of excited states for the He, Li, and Be atoms agree with the other researcher values.

Charmonium Properties Using the Discrete Variable Representation (DVR) Method

The Schrödinger equation is solved numerically for charmonium using the discrete variable representation (DVR) method. The Hamiltonian matrix is constructed and diagonalized to obtain the eigenvalues and eigenfunctions. Using these eigenvalues and eigenfunctions, spectra and various decay widths are calculated. The obtained results are in good agreement with other numerical methods and with experiments.

Propostas de Atividades com Tabelas em Livros Didáticos de Matemática dos Anos Iniciais do Ensino Fundamental do Brasil e do Quebec

ResumoO livro didático é uma das principais fontes de consulta dos professores no ensino de estatística. Esse artigo analisa atividades envolvendo tabelas apresentadas nos livros didáticos de Matemática, dos anos iniciais do Ensino Fundamental do Brasil e do Quebec/CA. Nossas análises se fundamentaram em seis categorias: tipo de representação (quadro, banco de dados ou tabela); função da tabela; habilidade explorada; tipo de tabela (simples ou dupla entrada); tipo de variável; representação dos elementos fundamentais da tabela. Os resultados revelam que, em todos os anos de escolarização, podemos encontrar os três tipos de representação, sendo a maior frequência de tabelas em ambos os lugares de publicação. Além disso, a maioria delas é utilizada como objeto de estudo, indicando uma mudança recente de foco nos livros brasileiros, que priorizavam atividades na quais as tabelas eram pretexto para outros conceitos serem abordados. Observamos, entretanto, uma ênfase em interpretar e completar tabelas já estruturadas. Infelizmente, muitas tabelas não apresentam a fonte, principalmente nos livros do Quebec. A ausência de contextos reais e significativos não contribui efetivamente para a aprendizagem Estatística pelos alunos. Palavras-chave: Livros Didáticos. Ensino de Estatística. Tabelas. Anos Iniciais AbstractTextbooks are one of the main sources of consultation for teaching statistics. This article analyzes activities involving tables presented in Primary School Mathematics textbooks from Brazil and from Quebec - CA. Our analysis were based on six categories: type of representation (rectangular configuration, database or table); table function; explored skill; table type (single or double entry); type of variable; representation of the fundamental elements of the table. The results show that in all years of schooling we can find the three types of representation, with the highest frequency of tables in both places of publication. Most of them are used as an object of study, indicating a recent change of focus in Brazilian books that prioritized activities in which tables were a pretext for other concepts to be addressed. However, we still observe an emphasis on interpreting and completing tables already structured. Unfortunately, many tables do not present their source, especially in Quebec textbooks. The absence of real data and significant contexts effectively does not contribute to the students' significant learning of Statistics. Keyword: Textbook. Teaching of Statistics. Tables. Primary School

Goal Lifecycle Networks For Robotics

A Goal Lifecycle Network (GLN) is a conceptual process model that captures the progression of goals from their formulation to their completion, including planning and execution concerns. GLNs synthesize the literature on hierarchical goal networks, goal lifecycles, and plan execution. We formalize GLNs based on a state-variable representation, extend GLNs with an execution lifecycle, describe a partial reference implementation of GLNs, and show how the temporal PDDL language can be translated into GLNs for dispatchable execution. We integrate GLNs in three proof-of-concept robotics demonstrations: (1) a two-armed robot sorting items into baskets; (2) a multi-vehicle quad-rotor team surveying a region; and (3) centralized planning for a simulated disaster relief based on the Robocup Rescue League. The theory, implementation, and demonstrations highlight that GLNs are effective for goal management in the robotics systems we study.