On the frequency module of the hull of a primitive substitution tiling

Understanding the properties of tilings is of increasing relevance to the study of aperiodic tilings and tiling spaces. This work considers the statistical properties of the hull of a primitive substitution tiling, where the hull is the family of all substitution tilings with respect to the substitution. A method is presented on how to arrive at the frequency module of the hull of a primitive substitution tiling (the minimal {\bb Z}-module, where {\bb Z} is the set of integers) containing the absolute frequency of each of its patches. The method involves deriving the tiling's edge types and vertex stars; in the process, a new substitution is introduced on a reconstructed set of prototiles.

Bodies moving with sound: Effects of pitch and musical sounds on body-representations

The effects of music on bodily movement and feelings, such as when people are dancing or engaged in physical activity, are well-documented - people may move in response to the sound cues, feel powerful, less tired. How sounds and bodily movements relate to create such effects? Here we deconstruct the problem and investigate how different auditory features affect people’s body-representation and feelings even when paired with the same movement. In three experiments, participants executed a simple arm raise synchronised with changing pitch in simple tones (Experiment 1), rich musical sounds (Experiment 2) and different absolute frequency ranges (Experiment 3), while we recorded indirect and direct measures on their movement, body-representations and feelings. Changes in pitch influenced people’s general emotional state as well as the various bodily dimensions investigated – movement, proprioceptive awareness and feelings about one’s body and movement. Adding harmonic content amplified the differences between ascending and descending sounds, while shifting the absolute frequency range had a general effect on movement amplitude, bodily feelings and emotional state. These results provide new insights in the role of auditory and musical features in dance and exercise, and have implications for the design of sound-based applications supporting movement expression, physical activity, or rehabilitation.

O olhar sistêmico em adolescentes com depressão

Objective: to identify the prevalence of depression and family support amongadolescents in the city of Montes Claros -MG. Materials and methods: this is a descriptive research with a quantitative and cross-sectionalapproach. The study included 71 adolescents, both sexes, students from a public state school and a private school. For data collection, a sociodemographic questionnaire was used, thenBeck's Depression Inventory and APGAR Questionnaire for family support assessmentwere applied. A descriptive analysis of the data was performed with real and absolute frequency values, in addition to the Mann-Whitney U test. Results: most of those evaluatedadolescents(75%) did not presentdepression levels (75%) and there was a high presence (65.3%) of family support;there was no statistically significant difference when comparing the variables surveyed betweensexes and schools. Conclusion: at the end,it was possible to infer that there seems to be a positive relationship between greater family support and lower levels or risk of depression.