15,587 research outputs found
On the p-parts of Weyl group multiple Dirichlet series
We study the structure of -parts of Weyl group multiple Dirichlet series.
In particular, we extend results of Chinta, Friedberg, and Gunnells and show,
in the stable case, that the -parts of Chinta and Gunnells agree with those
constructed using the crystal graph technique of Brubaker, Bump, and Friedberg.
In this vein, we give an explicit recurrence relation on the coefficients of
the -parts, which allows us to describe the support of the -parts and
address the extent to which they are uniquely determined.Comment: 18 pages, 4 figures; typos corrected, extended results in section
Student-Centered Learning: Dozier-Libbey Medical High School
This case study is one of four written by SCOPE about student-centered practices in schools. The case studies address the following questions:1. What are the effects of student-centered learning approaches on student engagement, achievement of knowledge and skills, and attainment (high school graduation, college admission, and college continuation and success), in particular for underserved students?2. What specific practices, approaches, and contextual factors result in these outcomes?The cases focus on the structures, practices, and conditions in the four schools that enable students to experience positive outcomes and consider the ways in which these factors are interrelated and work to reinforce each other
The Bott cofiber sequence in deformation K-theory and simultaneous similarity in U(n)
We show that there is a homotopy cofiber sequence of spectra relating
Carlsson's deformation K-theory of a group G to its "deformation representation
ring," analogous to the Bott periodicity sequence relating connective K-theory
to ordinary homology. We then apply this to study simultaneous similarity of
unitary matrices
Conceptual definition of a 50-100 kWe NEP system for planetary science missions
The Phase 1 objective of this project is to assess the applicability of a common Nuclear Electric Propulsion (NEP) flight system of the 50-100 kWe power class to meet the advanced transportation requirements of a suite of planetary science (robotic) missions, accounting for differences in mission-specific payloads and delivery requirements. The candidate missions are as follows: (1) Comet Nucleus Sample Return; (2) Multiple Mainbelt Asteroid Rendezvous; (3) Jupiter Grand Tour (Galilean satellites and magnetosphere); (4) Uranus Orbiter/Probe (atmospheric entry and landers); (5) Neptune Orbiter/Probe (atmospheric entry and landers); and (6) Pluto-Charon Orbiter/Lander. The discussion is presented in vugraph form
Grassmannian and elliptic operators
The conjecture about relation between infinite-dimensional Grassmannian and
string theory is based on the fact that moduli spaces of algebraic curves are
embedded into Grassmannian via Krichever construction. We describe a
multidimensional analog of Krichever construction, that can be used in the
attempt to relate Grassmannian to membranes.Comment: 10 pages, TE
Analysis of Sparse MIMO Radar
We consider a multiple-input-multiple-output radar system and derive a
theoretical framework for the recoverability of targets in the azimuth-range
domain and the azimuth-range-Doppler domain via sparse approximation
algorithms. Using tools developed in the area of compressive sensing, we prove
bounds on the number of detectable targets and the achievable resolution in the
presence of additive noise. Our theoretical findings are validated by numerical
simulations
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