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Articles 1 - 11 of 11
Full-Text Articles in Physical Sciences and Mathematics
Uniform Approximation Of Continuous Functions On A Compact Riemann Surface By Elliptic Modular Forms, Michael Berg
Uniform Approximation Of Continuous Functions On A Compact Riemann Surface By Elliptic Modular Forms, Michael Berg
Mathematics Faculty Works
We show that the graded algebra of elliptic modular forms and their conjugates comprises a uniformly dense subspace of the space of all continuous functions on the compactification of the fundamental domain for the action of SL2(Z) on the complex upper half-plane by fractional linear transformations.
Toy Models For The Falling Chimney, Gabriele U. Varieschi, Kaoru Kamiya
Toy Models For The Falling Chimney, Gabriele U. Varieschi, Kaoru Kamiya
Physics Faculty Works
In this paper we review the theory of the ‘‘falling chimney,’’ which deals with the breaking in mid-air of tall structures when they fall to the ground. We show that these ruptures can be caused by either shear forces typically developing near the base, or by the bending of the structure which is caused primarily by the internal bending moment. In the latter case the breaking is more likely to occur between one-third and one-half of the height of the chimney. Small scale toy models are used to reproduce the dynamics of the falling chimney. By examining photos taken during …
Extensive Regional Atmospheric Hydrocarbon Pollution In The Southwestern United States, Lambert A. Doezema
Extensive Regional Atmospheric Hydrocarbon Pollution In The Southwestern United States, Lambert A. Doezema
Chemistry and Biochemistry Faculty Works
Light alkane hydrocarbons are present in major quantities in the near-surface atmosphere of Texas, Oklahoma, and Kansas during both autumn and spring seasons. In spring 2002, maximum mixing ratios of ethane [34 parts per 109 by volume (ppbv)], propane (20 ppbv), and n-butane (13 ppbv) were observed in north-central Texas. The elevated alkane mixing ratios are attributed to emissions from the oil and natural gas industry. Measured alkyl nitrate mixing ratios were comparable to urban smog values, indicating active photochemistry in the presence of nitrogen oxides, and therefore with abundant formation of tropospheric ozone. We estimate that 4-6 teragrams of …
Measuring The Prompt Atmospheric Neutrino Flux With Down-Going Muons In Neutrino Telescopes, Graciela Gelmini, Paolo Gondolo, Gabriele Varieschi
Measuring The Prompt Atmospheric Neutrino Flux With Down-Going Muons In Neutrino Telescopes, Graciela Gelmini, Paolo Gondolo, Gabriele Varieschi
Physics Faculty Works
In the TeV energy region and above, the uncertainty in the level of prompt atmospheric neutrinos would limit the search for diffuse astrophysical neutrinos. We suggest that neutrino telescopes may provide an empirical determination of the flux of prompt atmospheric electron and muon neutrinos by measuring the flux of prompt down-going muons. Our suggestion is based on the consideration that prompt neutrino and prompt muon fluxes at sea level are almost identical.
Stably Folded De Novo Proteins From A Designed Combinatorial Library, David Moffet
Stably Folded De Novo Proteins From A Designed Combinatorial Library, David Moffet
Chemistry and Biochemistry Faculty Works
Binary patterning of polar and nonpolar amino acids has been used as the key design feature for constructing large combinatorial libraries of de novo proteins. Each position in a binary patterned sequence is designed explicitly to be either polar or nonpolar; however, the precise identities of these amino acids are varied extensively. The combinatorial underpinnings of the "binary code" strategy preclude explicit design of particular side chains at specified positions. Therefore, packing interactions cannot be specified a priori. To assess whether the binary code strategy can nonetheless produce well-folded de novo proteins, we constructed a second-generation library based upon a …
Finding Common Ground: Collaboration Across The Disciplines In The Scholarship Of Teaching, Elaine K. Yakura, Curtis D. Bennett
Finding Common Ground: Collaboration Across The Disciplines In The Scholarship Of Teaching, Elaine K. Yakura, Curtis D. Bennett
Mathematics Faculty Works
Many recent writings on the scholarship of teaching discuss the need to locate this scholarship within the disciplines. The authors argue that while scholarship within the disciplines is important, it should not come at the expense of work across the disciplines. They demonstrate the usefulness of cross-disciplinary collaboration for the scholarship of teaching and learning through the specific example of how collaboration contributed to their understanding of the role of such scholarship in the teaching of mathematics and negotiations courses. The authors also outline some of the pitfalls of cross-disciplinary collaboration, and they offer suggestions for beginning collaborative initiatives.
Storm Effects On Regional Beach Water Quality Along The Southern California Shoreline, Rachel T. Nobel, Stephen B. Weisberg, Molly K. Leecaster, Charles D. Mcgee, John Dorsey, Patricia Vainik, Victoria Orozco-Borbón
Storm Effects On Regional Beach Water Quality Along The Southern California Shoreline, Rachel T. Nobel, Stephen B. Weisberg, Molly K. Leecaster, Charles D. Mcgee, John Dorsey, Patricia Vainik, Victoria Orozco-Borbón
Civil and Environmental Engineering Faculty Works
Two regional studies conducted during dry weather demonstrated that the Southern California Bight (SCB) shoreline has good water quality, except near areas that drain land-based runoff. Here, we repeat those regional studies 36 h after a rainstorm to assess the influence of runoff under high flow conditions. Two hundred and fifty-four shoreline sites between Santa Barbara, California and Ensenada, Mexico were sampled using a stratified-random sampling design with four strata: sandy beaches, rocky shoreline, shoreline adjacent to urban runoff outlets that flow intermittently, and shoreline adjacent to outlets that flow year-round. Each site was sampled for total coliforms, fecal coliforms …
Measuring The Prompt Atmospheric Neutrino Flux With Down-Going Muons In Neutrino Telescopes, Gabriele U. Varieschi
Measuring The Prompt Atmospheric Neutrino Flux With Down-Going Muons In Neutrino Telescopes, Gabriele U. Varieschi
Physics Faculty Works
No abstract provided.
A Few Weight Systems Arising From Intersection Graphs, Blake Mellor
A Few Weight Systems Arising From Intersection Graphs, Blake Mellor
Mathematics Faculty Works
No abstract provided.
A Geometric Interpretation Of Milnor's Triple Invariants, Blake Mellor, Paul Melvin
A Geometric Interpretation Of Milnor's Triple Invariants, Blake Mellor, Paul Melvin
Mathematics Faculty Works
Milnor's triple linking numbers of a link in the 3-sphere are interpreted geometrically in terms of the pattern of intersections of the Seifert surfaces of the components of the link. This generalizes the well known formula as an algebraic count of triple points when the pairwise linking numbers vanish.
Discrete Velocity Fields With Explicitly Computable Lagrangian Law, Curtis D. Bennett, Craig L. Zirbel
Discrete Velocity Fields With Explicitly Computable Lagrangian Law, Curtis D. Bennett, Craig L. Zirbel
Mathematics Faculty Works
We introduce a class of random velocity fields on the periodic lattice and in discrete time having a certain hidden Markov structure. The generalized Lagrangian velocity (the velocity field as viewed from the location of a single moving particle) has similar hidden Markov structure, and its law is found explicitly. Its rate of convergence to equilibrium is studied in small numerical examples and in rigorous results giving absolute and relative bounds on the size of the second–largest eigenvalue modulus. The effect of molecular diffusion on the rate of convergence is also investigated; in some cases it slows convergence to equilibrium. …