Funções e algumas de suas propriedades

In this TCC the deal with a underlying but essential topic of Mathematics, namely: Functions. Many students start their course in the University asking: Why do we need functions? With that in mind we try to antecipate to this question and we try to show that functions come up so naturally that a name was needed to express that association which exists between the elements of two sets. After this definition was established, we present and formalize some other concepts that functions might have, as: an interview of ascendence/descendence, 1-1, etc.

Efeitos de um programa de treino cognitivo e das técnicas de higiene do sono para as funções executivas e para a qualidade de sono em idosos saudáveis

The aging process causes changes in the elderly’s sleep/awake standard impairing their cognitive abilities, particularly executive functioning, which already suffers loss by aging. The literature suggests that executive function and preserved sleep quality are key to maintaining good quality of life and independence of older people, requiring interventions to minimize the impact of losses incurred by the aging process. This study evaluated the effect of a cognitive training program and sleep hygiene techniques for executive functions and sleep quality in healthy older people. The participants were 41 healthy older adults, of both sexes, who were randomly divided into four groups: control group [GC], cognitive training group [GTC], sleep hygiene group [GHS] and training group + hygiene [GTH]. The research was developed in three stages: 1st - initial assessment of cognition and sleep; 2nd - specific intervention to each group; 3rd - post-intervention revaluation. The results showed that GTC had significant improvements in cognitive tasks flexibility, planning, verbal fluency and some aspects of episodic memory, besides gains in sleep quality and decrease on daytime hypersomnolence. The GHS improved sleep quality and daytime sleepiness as well and had significant improvements in insights capacity, planning, attention and in all evaluated aspects of episodic memory. The GTH had significant gains in cognitive flexibility, problem solving, verbal fluency, attention and episodic memory. The CG showed significant worsening in excessive daytime sleepiness in capacity planning. Thus, we conclude that cognitive training interventions and sleep hygiene strategies are useful in improving cognitive performance and quality of healthy elderly sleep.

Uso de correntropia na generalização de funções cicloestacionárias e aplicações para a extração de características de sinais modulados

Information extraction is a frequent and relevant problem in digital signal processing. In the past few years, different methods have been utilized for the parameterization of signals and the achievement of efficient descriptors. When the signals possess statistical cyclostationary properties, the Cyclic Autocorrelation Function (CAF) and the Spectral Cyclic Density (SCD) can be used to extract second-order cyclostationary information. However, second-order cyclostationary information is poor in nongaussian signals, as the cyclostationary analysis in this case should comprise higher-order statistical information. This paper proposes a new mathematical tool for the higher-order cyclostationary analysis based on the correntropy function. Specifically, the cyclostationary analysis is revisited focusing on the information theory, while the Cyclic Correntropy Function (CCF) and Cyclic Correntropy Spectral Density (CCSD) are also defined. Besides, it is analytically proven that the CCF contains information regarding second- and higher-order cyclostationary moments, being a generalization of the CAF. The performance of the aforementioned new functions in the extraction of higher-order cyclostationary characteristics is analyzed in a wireless communication system where nongaussian noise exists.

Estudo do genoma do vírus causador da mionecrose infecciosa em camarões e desenvolvimento de métodos para detecção de polimorfismos

Shrimp farming is one of the activities that contribute most to the growth of global aquaculture. However, this business has undergone significant economic losses due to the onset of viral diseases such as Infectious Myonecrosis (IMN). The IMN is already widespread throughout Northeastern Brazil and affects other countries such as Indonesia, Thailand and China. The main symptom of disease is myonecrosis, which consists of necrosis of striated muscles of the abdomen and cephalothorax of shrimp. The IMN is caused by infectious myonecrosis virus (IMNV), a non-enveloped virus which has protrusions along its capsid. The viral genome consists of a single molecule of double-stranded RNA and has two Open Reading Frames (ORFs). The ORF1 encodes the major capsid protein (MCP) and a potential RNA binding protein (RBP). ORF2 encodes a probable RNA-dependent RNA polymerase (RdRp) and classifies IMNV in Totiviridae family. Thus, the objective of this research was study the IMNV complete genome and encoded proteins in order to develop a system differentiate virus isolates based on polymorphisms presence. The phylogenetic relationship among some totivirus was investigated and showed a new group to IMNV within Totiviridae family. Two new genomes were sequenced, analyzed and compared to two other genomes already deposited in GenBank. The new genomes were more similar to each other than those already described. Conserved and variable regions of the genome were identified through similarity graphs and alignments using the four IMNV sequences. This analyze allowed mapping of polymorphic sites and revealed that the most variable region of the genome is in the first half of ORF1, which coincides with the regions that possibly encode the viral protrusion, while the most stable regions of the genome were found in conserved domains of proteins that interact with RNA. Moreover, secondary structures were predicted for all proteins using various softwares and protein structural models were calculated using threading and ab initio modeling approaches. From these analyses was possible to observe that the IMNV proteins have motifs and shapes similar to proteins of other totiviruses and new possible protein functions have been proposed. The genome and proteins study was essential for development of a PCR-based detection system able to discriminate the four IMNV isolates based on the presence of polymorphic sites