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Theorizing Trikāla: A Generalized Intervallic Approach to Pulse Transformation in South Indian Carnatic Music [PDF]

open access: yesAnalytical Approaches to World Music, 2020
The rich rhythmic/metric construction of South Indian Carnatic music is characterized, in large part, by intricate interplay between an internalized metric cycle called the tāḷa and performed phrases that may generate expressive tension with this tāḷa ...
Wells, Robert
doaj  

Natural Paracontact Magnetic Trajectories on Unit Tangent Bundles

open access: yesAxioms, 2020
In this paper, we study natural paracontact magnetic trajectories in the unit tangent bundle, i.e., those that are associated to g-natural paracontact metric structures.
Mohamed Tahar Kadaoui Abbassi   +1 more
doaj   +1 more source

Paracontact metric structures on the unit tangent sphere bundle

open access: yes, 2013
Starting from $g$-natural pseudo-Riemannian metrics of suitable signature on the unit tangent sphere bundle $T_1 M$ of a Riemannian manifold $(M,\langle,\rangle)$, we construct a family of paracontact metric structures.
Calvaruso, Giovanni   +1 more
core   +1 more source

Curvature exponent and geodesic dimension on Sard-regular Carnot groups

open access: yesAnalysis and Geometry in Metric Spaces
In this study, we characterize the geodesic dimension NGEO{N}_{{\rm{GEO}}} and give a new lower bound to the curvature exponent NCE{N}_{{\rm{CE}}} on Sard-regular Carnot groups.
Golo Sebastiano Nicolussi, Zhang Ye
doaj   +1 more source

Metric quasiconformality and Sobolev regularity in non-Ahlfors regular spaces

open access: yesAnalysis and Geometry in Metric Spaces
Given a homeomorphism f:X→Yf:X\to Y between QQ-dimensional spaces X,YX,Y, we show that ff satisfying the metric definition of quasiconformality outside suitable exceptional sets implies that ff belongs to the Sobolev class Nloc1,p(X;Y){N}_{{\rm{loc}}}^{1,
Lahti Panu, Zhou Xiaodan
doaj   +1 more source

The nature of ligand efficiency

open access: yesJournal of Cheminformatics, 2019
Ligand efficiency is a widely used design parameter in drug discovery. It is calculated by scaling affinity by molecular size and has a nontrivial dependency on the concentration unit used to express affinity that stems from the inability of the ...
Peter W. Kenny
doaj   +1 more source

Sums of two dimensional spectral triples

open access: yes, 2006
We study countable sums of two dimensional modules for the continuous complex functions on a compact metric space and show that it is possible to construct a spectral triple which gives the original metric back.
Christensen, Erik, Ivan, Cristina
core   +3 more sources

On non-commutative Minkowski spheres

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
The purpose of the following is to try to make sense of the stereo- graphic projection in a non-commutative setup. To this end, we consider the open unit ball of a ternary ring of operators, which naturally comes equipped with a non-commutative version ...
Stachó Lászlo L., Werner Wend
doaj   +1 more source

The biharmonic homotopy problem for unit vector fields on 2-tori

open access: yes, 2018
The bienergy of smooth maps between Riemannian manifolds, when restricted to unit vector fields, yields two different variational problems depending on whether one takes the full functional or just the vertical contribution. Their critical points, called
Loubeau, E., Markellos, M.
core   +2 more sources

Complexity measure based on sensitivity analysis applied to an intensive care unit system

open access: yesScientific Reports, 2023
This work proposes a system complexity metric and its application to Intensive Care Unit (ICU) system. The methodology for applying said complexity metric comprises: (i) parameters sensitivity indices calculation, (ii) mapping connections dynamics ...
Joao R. B. Paiva   +7 more
doaj   +1 more source

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