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A note on integrated local energy decay estimates for spherically symmetric black hole spacetimes. [PDF]

Math Ann
Holzegel G, Mavrogiannis G, Ruiz RV.
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Beyond Euclid: an illustrated guide to modern machine learning with geometric, topological, and algebraic structures. [PDF]

Mach Learn Sci Technol
Papillon M, Sanborn S, Mathe J, Cornelis L, Bertics A, Buracas D, J Lillemark H, Shewmake C, Dinc F, Pennec X, Miolane N.   +10 more
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Attenuation of higher-order acoustic modes in a cylindrical waveguide using lined panel-cavity coupling. [PDF]

PLoS One
Alrashdi A, Wahab A, Yaseen A, Alkuhayli N, Alahmadi H.   +4 more
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A note on a generalized double series. [PDF]

PLoS One
Reynolds R.
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UAV Path Optimization for Target Passive Localization Considering the Position Uncertainty of the Target. [PDF]

Sensors (Basel)
Lin J, Song L, Lu Y, Li X, Li W, Xu G.
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Differential forms in computational algebraic geometry

Proceedings of the 2007 international symposium on Symbolic and algebraic computation, 2007
We give a uniform method for the two problems #CCC and #ICC of counting connected and irreducible components of complex algebraic varieties, respectively. Our algorithms are purely algebraic, i.e., they use only the field structure of C. They work efficiently in parallel and can be implemented by algebraic circuits of polynomial depth, i.e., in ...
Peter Bürgisser, Peter Scheiblechner
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Noncommutative differential geometry of matrix algebras

Journal of Mathematical Physics, 1990
The noncommutative differential geometry of the algebra Mn (C) of complex n×n matrices is investigated. The role of the algebra of differential forms is played by the graded differential algebra C(sl(n,C),Mn (C))=Mn (C)⊗Λsl(n,C)*,sl(n,C) acting by inner derivations on Mn (C).
Dubois-Violette, Michel, Kerner, Richard, Madore, John   +2 more
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Differential geometry on Grassmann algebras

Letters in Mathematical Physics, 1976
H. C. Lee [1] developed the analogue of Riemannian geometry on a real symplectic manifold — the fundamental skew two-form taking the place of the symmetric tensor. The usual Riemannian concepts do not adapt themselves very well, thus ‘curvature’ is represented by a tensor of the third rank and ‘Killing's equations’ now involve this ‘curvature tensor ...
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Current Algebras, the Sugawara Model, and Differential Geometry

Journal of Mathematical Physics, 1970
The Lie algebra defined by the currents in the Sugawara model is defined in a way that is natural from the point of view of Lie transformation theory and differential geometry. Previous remarks that the Sugawara model is associated with a field-theoretical dynamical system on a Lie group manifold are made more precise and presented in a differential ...
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Differential forms in algebraic geometry

2011
Before considering more general spaces we shall first discuss (1) the r-dimensional projective space Π r . In this space we shall consider a homogeneous coordinate system (Z0, Z1, ... , Z r ). Let U α be that part of Π r in which Z α ≠ 0. In U α we may then introduce non-homogeneous coordinates zαi = Zι/Zα (ι≠α).
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