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Cooling the globe with sustainable biomass and minerals: Hierarchical nanostructuring unlocks next-generation radiative cooling. [PDF]
Wang Y, Li J, Gan W.
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Commercial tobacco retail marketing in rural communities in Appalachian Kentucky, 2024. [PDF]
Feizy S +7 more
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The Wafold: Curvature-Driven Termination and Dimensional Compression in Black Holes. [PDF]
Viaña J.
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Habitat Specialization and Airborne Dispersal Shape the Microbiome of a Gypsum Karst Cave. [PDF]
Martin-Pozas T +7 more
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Determining farm surface porcine reproductive and respiratory syndrome virus (PRRSV) contamination through viability RT-qPCR. [PDF]
Melini CM +3 more
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Discrete exterior calculus [PDF]
This thesis presents the beginnings of a theory of discrete exterior calculus (DEC). Our approach is to develop DEC using only discrete combinatorial and geometric operations on a simplicial complex and its geometric dual. The derivation of these may require that the objects on the discrete mesh, but not the mesh itself, are interpolated.
Hirani, Anil Nirmal
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Exterior Tensor Powers and Exterior Algebras
2020In this chapter we consider alternating (also called skew-symmetric) multilinear maps and exterior tensor powers (also called alternating tensor powers), denoted \(\bigwedge ^n(E)\). In many respects alternating multilinear maps and exterior tensor powers can be treated much like symmetric tensor powers, except that sgn(σ) needs to be inserted in front
Jean Gallier, Jocelyn Quaintance
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The Exterior Product and Exterior Algebras
2012The chapter begins with notion of the Plucker coordinates of a subspace in a vector space. Then the Plucker relations are derived, and the Grassmann varieties are described. Then an exterior product of vectors is defined, and the connection between the exterior product and Plucker coordinates is explained: the Plucker relations give necessary and ...
Igor R. Shafarevich, Alexey O. Remizov
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