Results 31 to 40 of about 1,612,043 (238)
Mathematics and group theory in music
, 2014 The purpose of this paper is to show through particular examples how group theory is used in music. The examples are chosen from the theoretical work and from the compositions of Olivier Messiaen (1908-1992), one of the most influential twentieth century composers and pedagogues. Messiaen consciously used mathematical concepts derived from symmetry and
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Group theory and biomolecular conformation: I. Mathematical and computational models [PDF]
Journal of Physics: Condensed Matter, 2010 Biological macromolecules, and the complexes that they form, can be described in a variety of ways ranging from quantum mechanical and atomic chemical models, to coarser grained models of secondary structure and domains, to continuum models. At each of these levels, group theory can be used to describe both geometric symmetries and conformational ...
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Advanced Biology, EarlyView.The relationship between proteome size, amino acid composition, and lifespan across 276 vertebrate species is investigated. Proteome size correlates positively with lifespan in mammals but negatively in birds and fish. While proteome composition varies among classes, no single amino acid frequency correlates with lifespan.
Juliano Morimoto, Zuzanna Pietras
wiley +1 more source
Electrospinning Technology, Machine Learning, and Control Approaches: A Review
Advanced Engineering Materials, EarlyView.Electrospinning produces micro‐ and nanoscale fibers, holding great promise in biomedical engineering. Industrial adoption faces challenges in controlling fiber properties, reproducibility, and scalability. This review explores electrospinning techniques, modeling, and machine learning for process optimization.
Arya Shabani +5 more
wiley +1 more source
Applying Graph Theory to Examine the Dynamics of Student Discussions in Small-Group Learning. [PDF]
, 2019 Group work in science, technology, engineering, and mathematics courses is an effective means of improving student outcomes, and many different factors can influence the dynamics of student discussions and, ultimately, the success of collaboration.
Chai, Albert +3 more
core +1 more source
A Mathematical Theory of Interpersonal Interactions and Group Behavior
, 2018 Emergent collective group processes and capabilities have been studied through analysis of transactive memory, measures of group task performance, and group intelligence, among others. In their approach to collective behaviors, these approaches transcend traditional studies of group decision making that focus on how individual preferences combine ...
Bar-Yam, Yaneer, Kantor, David
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Advanced Engineering Materials, EarlyView.A methodology for establishing an ontology‐augmented structural digital twin for fiber‐reinforced polymer structures dedicated to individual lifetime prediction, in this case, a wind turbine rotor blade, is introduced. The methodology resembles the manufacturing as well as the operation of the structure.
Marc Luger +6 more
wiley +1 more source
A note on dimensional entropy for amenable group actions
, 2017 In this short note, for countably infinite amenable group actions, we provide topological proofs for the following results: Bowen topological entropy (dimensional entropy) of the whole space equals the usual topological entropy along tempered F{\o}lner ...
Dou, Dou, Zhang, Ruifeng
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Advanced Engineering Materials, EarlyView.A novel metadata schema is introduced to address the sparsity of microstructure‐sensitive mechanical data. The design follows the material modeling workflow, as each run results in the definition of unique data objects. The schema includes categorical elements to ensure findability, accessibility, interoperability, and reusability (FAIR). This approach
Ronak Shoghi, Alexander Hartmaier
wiley +1 more source
Towards a Hermeneutic Categorical Mathematics or why Category theory goes beyond Mathematical Structuralism [PDF]
arXiv, 2006 Category theory provides an alternative to Hilbert's Formal Axiomatic method and goes beyond Mathematical ...
arxiv