159,927 research outputs found
Effective Field Theory for Nuclear Physics
I summarize the motivation for the effective field theory approach to nuclear
physics, and highlight some of its recent accomplishments. The results are
compared with those computed in potential models.Comment: Talk delivered at Baryons '98, Bonn, Sept. 22, 1998. 15 pages, 9
figure
Nucleon-Nucleon Scattering and Effective Field Theory: Including Pions Non-perturbatively
Next to leading order effective field theory calculations are performed for NN scattering using subtractive renormalization procedure. One pion
exchange and contact interaction potentials are iterated using
Lippman-Schwinger equation. Satisfactory fit to the Nijmegen data is obtained
for the momenta up to 300 MeV in the centre of mass frame. Phase shifts are
also compared with the results of KSW approach where pions are included
perturbatively.Comment: 7 pages, 3 figures, references added, to appear in Phys. Lett.
Weight enumerators of Reed-Muller codes from cubic curves and their duals
Let be a finite field of characteristic not equal to or
. We compute the weight enumerators of some projective and affine
Reed-Muller codes of order over . These weight enumerators
answer enumerative questions about plane cubic curves. We apply the MacWilliams
theorem to give formulas for coefficients of the weight enumerator of the duals
of these codes. We see how traces of Hecke operators acting on spaces of cusp
forms for play a role in these formulas.Comment: 19 pages. To appear in "Arithmetic, Geometry, Cryptography, and
Coding Theory" (Y. Aubry, E. W. Howe, C. Ritzenthaler, eds.), Contemp. Math.,
201
Teaching Stats for Data Science
“Data science” is a useful catchword for methods and concepts original to the field of statistics, but typically being applied to large, multivariate, observational records. Such datasets call for techniques not often part of an introduction to statistics: modeling, consideration of covariates, sophisticated visualization, and causal reasoning. This article re-imagines introductory statistics as an introduction to data science and proposes a sequence of 10 blocks that together compose a suitable course for extracting information from contemporary data. Recent extensions to the mosaic packages for R together with tools from the “tidyverse” provide a concise and readable notation for wrangling, visualization, model-building, and model interpretation: the fundamental computational tasks of data science
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