Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
- Keyword
-
- Airy function (1)
- Anharmonic system (1)
- Aphanocapsa holsatica (1)
- Autotrophic picoplankton (1)
- Block designs (1)
-
- Coalescence of two saddle points in the complex angular momentum plane (1)
- Culture (1)
- Debye expansion (1)
- Disaggregation (1)
- Geometric integrators (1)
- Hamiltonian PDEs (1)
- Lagrangian techniqes (1)
- Lake Joyce (1)
- Mathematical theory (1)
- Mie theory (1)
- Natural frequencies (1)
- Nearly balanced (1)
- Optimality (1)
- PDEs (1)
- Philosophy (1)
- Precipitation (1)
- Rainbow (1)
- Resolvable (1)
- Scientific description (1)
- Symplectic (1)
- Virginia (1)
- Water temperature (1)
- Wavefront (1)
- Publication
- Publication Type
Articles 1 - 5 of 5
Full-Text Articles in Physical Sciences and Mathematics
Nearly Balanced And Resolvable Block Designs, Brian Henry Reck
Nearly Balanced And Resolvable Block Designs, Brian Henry Reck
Mathematics & Statistics Theses & Dissertations
One of the fundamental principles of experimental design is the separation of heterogeneous experimental units into subsets of more homogeneous units or blocks in order to isolate identifiable, unwanted, but unavoidable, variation in measurements made from the units. Given v treatments to compare, and having available b blocks of k experimental units each, the thoughtful statistician asks, “What is the optimal allocation of the treatments to the units?” This is the basic block design problem. Let nij be the number of times treatment i is used in block j and let N be the v x b matrix N …
Four Anharmonic Oscillators On A Circle, J. N. Boyd, R. G. Hudepohl, P. N. Raychowdhury
Four Anharmonic Oscillators On A Circle, J. N. Boyd, R. G. Hudepohl, P. N. Raychowdhury
Virginia Journal of Science
Four identical, uniformly separated particles interconnected by ideal anharmonic springs are constrained to move on a fixed, frictionless circular track. The Lagrangian for the system is written and then transformed by matrix operations suggested by the symmetry of the arrangement of springs and particles. The equations of motion derived from the transformed Lagrangian yield four natural frequencies of motion.
Environmental Factors Contributing To The Disaggregation Of A Colonial Cyanoprokaryote And Its Influence On Picoplankton Abundance Within Lake Joyce, Virginia, Lewis F. Affronti Jr., B. Thomas Duquette
Environmental Factors Contributing To The Disaggregation Of A Colonial Cyanoprokaryote And Its Influence On Picoplankton Abundance Within Lake Joyce, Virginia, Lewis F. Affronti Jr., B. Thomas Duquette
Virginia Journal of Science
A colonial cyanoprokaryote, Aphanocapsa holsatica and autotrophic picoplankton abundance were monitored weekly over a two year period in Lake Joyce, Virginia. Significant differences were observed in both the cyanoprokaryote and picoplankton abundance over the study period and an inverse relationship was observed between these two plankton groups. Disaggregation of colonies was shown to contribute to picoplankton populations where water temperature and precipitation input apparently trigger colony dispersion. This relationship is suggested to occur in other aquatic habitats. Results of this work and its implications for ecosystem dynamics are discussed.
Like A Bridge Over Colored Water: A Mathematical Review Of The Rainbow Bridge: Rainbows In Art, Myth, And Science, John A. Adam
Like A Bridge Over Colored Water: A Mathematical Review Of The Rainbow Bridge: Rainbows In Art, Myth, And Science, John A. Adam
Mathematics & Statistics Faculty Publications
Commenting on a recent book, the author discusses various views of the rainbow: its role in culture, its scientific description, and its mathematical theory.
Geometric Integrators For Hamiltonian Pdes, Dmitry Karpeev
Geometric Integrators For Hamiltonian Pdes, Dmitry Karpeev
Computer Science Theses & Dissertations
We consider methods for systematic construction of algorithms for a class of time-dependent PDEs with Hamiltonian structure. These systems possess phase space geometry and constants of the motion that need to be preserved by the integration algorithm to reflect the qualitative features of the system.
We exploit the structure of Hamiltonian systems, in particular their variational formulation based on a Lagrangian, and the dual covariant formulation, to expose the geometric features of the system that have natural analogs when discretized. We emphasize the local space-time approach to the constructions, making them amenable to parallelization and preconditioning using domain decomposition methods, …