Search Results - "Payne, Tracy"
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Geometric invariants for nilpotent metric Lie algebras with applications to moduli spaces of nilsoliton metrics
Published in Annals of global analysis and geometry (01-02-2012)“…We present new tools for determining whether two nilpotent metric Lie algebras are in the same isometry class. We exhibit new examples of continuous families…”
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The math talk learning environment: Testing an early childhood math intervention
Published in Early childhood research quarterly (2024)Get full text
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THE GEOMETRY OF FILIFORM NILPOTENT LIE GROUPS
Published in The Rocky Mountain journal of mathematics (01-01-2010)“…We study the geometry of a filiform nilpotent Lie group endowed with a left-invariant metric. We describe the connection and curvatures, and we investigate…”
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Computation of positively graded filiform nilpotent Lie algebras in low dimensions
Published in Journal of symbolic computation (01-01-2022)“…We describe a procedure for classifying positively graded filiform nilpotent Lie algebras in low dimensions, over R, C, and Q. Using this procedure, we find…”
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Methods for parametrizing varieties of Lie algebras
Published in Journal of algebra (01-01-2016)“…A real n-dimensional anticommutative nonassociative algebra is represented by an element of ∧2(Rn)⁎⊗Rn. For each μ∈∧2(Rn)⁎⊗Rn, there is a unique subset…”
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The existence of soliton metrics for nilpotent Lie groups
Published in Geometriae dedicata (01-04-2010)“…We show that a left-invariant metric g on a nilpotent Lie group N is a soliton metric if and only if a matrix U and vector v associated the manifold ( N , g )…”
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Florida HIPPY parents successfully prepare their children for kindergarten
Published in Early childhood research quarterly (01-01-2020)“…•Effects by Home Instruction for Parents of Preschool Youngsters on later outcomes.•Propensity scoring used to create a matched group of…”
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Computational methods for nilsoliton metric Lie algebras I
Published in Journal of symbolic computation (01-03-2013)“…We introduce a computational method for classifying Lie algebras admitting a nilsoliton inner product in a large subclass of the set of all nilpotent Lie…”
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Closures of totally geodesic immersions into locally symmetric spaces of noncompact type
Published in Proceedings of the American Mathematical Society (01-03-1999)“…It is established that if \calM_1 and \calM_2 are connected locally symmetric spaces of noncompact type where \calM_2 has finite volume, and \phi:\calM_1 \to…”
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Preschool children's math-related behaviors mediate curriculum effects on math achievement gains
Published in Early childhood research quarterly (2013)“…▸ Examined how preschoolers’ behaviors mediate curricular effects on math gains. ▸ Children in treatment classrooms made greater math achievement gains. ▸…”
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Generalized Voronoi Diagrams and Lie Sphere Geometry
Published 17-08-2024“…We use Lie sphere geometry to describe two large categories of generalized Voronoi diagrams that can be encoded in terms of the Lie quadric, the Lie inner…”
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Interviews with New Zealand community stakeholders regarding acceptability of current or potential pest eradication technologies
Published in New Zealand journal of crop and horticultural science (01-06-2010)“…The exploratory study aimed to understand the range of community responses to three pest eradication technologies proposed for use in New Zealand and to…”
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Perceived difference of roles between the registered nurse and enrolled nurse
Published in Australian nursing & midwifery journal (01-08-2015)“…An investigation of perceived differences in roles of registered nurses (RN) and enrolled nurses (EN) from the perspective of novice and experienced RNs in a…”
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A different perspective on H-like Lie algebras
Published 08-05-2018“…We characterize H-like Lie algebras in terms of subspaces of cones over conjugacy classes in $\mathfrak{so}(\mathbb{R}^q)$, translating the classification…”
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Methods for Parametrizing Varieties of Lie Algebras
Published 23-08-2015“…We describe how to smoothly parametrize certain families of nilpotent Lie algebras…”
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Engaging children in talk about mathematics: The effects of an early mathematics intervention
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Uniform Lie Algebras and Uniformly Colored Graphs
Published 02-03-2016“…Uniform Lie algebras are combinatorially defined two-step nilpotent Lie algebras which can be used to define Einstein solvmanifolds. These Einstein spaces…”
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The topology of the set of nonsoliton Lie algebras in the moduli space of nilpotent Lie algebras
Published 14-12-2011“…A Lie algebra is called nonsoliton if it does not admit a soliton inner product. We demonstrate that the subset of nonsoliton Lie algebras in the moduli space…”
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Perceptions of first -generation college students: Factors that influence graduate school enrollment and perceived barriers to attendance
Published 01-01-2006“…Much of the available literature on first-generation college students focuses on pre-college experiences, two-year institutions, or retention at the…”
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Dissertation