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Full-Text Articles in Other Mathematics
Nonlinear Coupled Effects In Nanomaterials, Sia Bhowmick
Nonlinear Coupled Effects In Nanomaterials, Sia Bhowmick
Theses and Dissertations (Comprehensive)
Materials at the nanoscale have different chemical, structural, and optoelectrical properties compared to their bulk counterparts. As a result, such materials, called nanomaterials, exhibit observable differences in certain physical phenomena. One such resulting phenomenon called the piezoelectric effect has played a crucial role in miniature self-powering electronic devices called nanogenerators which are fabricated by using nanostructures, such as nanowires, nanorods, and nanofilms. These devices are capable of harvesting electrical energy by inducing mechanical strain on the individual nanostructures. Electrical energy created in this manner does not have environmental limitations. In this thesis, important coupled effects, such as the nonlinear piezoelectric …
Abelian Subalgebras Of Maximal Dimension In Euclidean Lie Algebras, Mark Curro
Abelian Subalgebras Of Maximal Dimension In Euclidean Lie Algebras, Mark Curro
Theses and Dissertations (Comprehensive)
In this paper we define, discuss and prove the uniqueness of the abelian subalgebra of maximal dimension of the Euclidean Lie algebra. We also construct a family of maximal abelian subalgebras and prove that they are maximal.