103,397 research outputs found
A Boolean theory of signatures for tonal scales
We explore the concept of tonal signatures developed and put into musical practice by one of us (Mezzadri). A tonal signature of a scale S is a minimal subset of notes within S that is not contained in any scale S' different from S. We present a set covering model to Find a smallest signature. We also show that the signatures of a scale are the prime implicants of a suitable monotone Boolean function represented by a Conjunctive Normal Form. On this ground, we introduce a more general notion of Boolean signature, depending on a Boolean operator. The computational machinery for generating Boolean signatures remains essentially the same. The richness and variety of Boolean signatures has a great potential for the development of new paradigms in polytonal harmony. (C) 2013 Elsevier B.V. All rights reserved
Heavy mineral ditribution in Late Quaternary sediments of the Southern Aegean Sea: Implication for provenance and sediment dispersal in a sedimentary basin at active margins
The Southern Aegean Sea (Sea of Crete) is a present day forearc basin in a dynamic tectonic setting that includes Quaternary calc-alkaline volcanism (Cyclades) on the northern margin; vertical uplift on the southern trench-ward margin forming the Hellenic Arc ofPaleozoic to Miocene alpine deformed rocks; and extensional tectonics affecting the whole Aegean area. Extension in the forearc basin has created a series of basin ponds separated by structural highs that limit sediment transport by bottom currents. Heavy mineral associations along the Crete and Rhodes coasts and in turbidite deposits from the Southern Aegean Sea were subjected to Q-mode factor analysis, which offers the advantage of denning a small number of end members by variable combinations of different minerals. Four heavy mineral suites along Crete and Rhodes coasts (one from the volcanic arc, three from different terranes exposed on the Hellenic Arc), and five from the Southern Aegean Sea (one from the volcanic margin and four from different parts of the Hellenic Arc) were identified. The mineralogical composition of sands from the different basins varies significantly, reflecting the composition of the nearby source areas. Heavy mineral analysis allowed a more detailed identification of source terranes than did light mineral analysis of the same sediments (Saccani 1987)
Survival analysis on a categorization task
R code and visual output from the Kaplan-Meier survival analysis applied to data from a categorization task. This method was used to estimate how presentation order influenced the speed of task completion, incorporating censored data from participants who did not finish the task to ensure an unbiased analysis.
For more information we refer to: Mezzadri, G., Reynaud-Bouret, P., Laloë, T. et al. Investigating interactions between types of order in categorization. Sci Rep 12, 21625 (2022). https://doi.org/10.1038/s41598-022-25776-
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