2,065,147 research outputs found
Resolutions of ideals of fat points with support in a hyperplane
Our results concern minimal graded free resolutions of fat point ideals for
points in a hyperplane. Suppose, for example, that I(m,d) is the ideal defining
r given points of multiplicity m in the projective space P^d. Assume that the
given points lie in a hyperplane P^{d-1} in P^d, and that the ground field k is
algebraically closed of characteristic 0. We give an explicit minimal graded
free resolution of I(m,d) in k[P^d] in terms of the minimal graded free
resolutions of the ideals I(j,d-1) in k[P^{d-1}] with j < m+1. As a corollary,
we give the following formula for the Poincare polynomial P_{m,d} of I(m,d) in
terms of the Poincare polynomials P_{j,d-1} of I(j,d-1): P_{m,d} = (1 +
XT)(\Sigma_{0<j\le m} T^{m-j}(P_{j,d-1} - 1)) + 1 + XT^m.Comment: 10 pages; to appear in Proc. Amer. Math. Soc.; some expositional
changes; added a reference to paper of Geramita, Migliore and Sabourin
(math.AC/0411445
From the Maccabees to the Mishnah
Reviewed Book: Cohen, Shaye J D. from the Maccabees to the Mishnah. Philadelphia: Westminster Press, 1987. Library of Early Christianity; 7
J D Bernal: philosophy, politics and the science of science
This paper is an examination of the philosophical and political legacy of John Desmond Bernal. It addresses the evidence of an emerging consensus on Bernal based on the recent biography of Bernal by Andrew Brown and the reviews it has received. It takes issue with this view of Bernal, which tends to be admiring of his scientific contribution, bemused by his sexuality, condescending to his philosophy and hostile to his politics. This article is a critical defence of his philosophical and political position
J D Bernal: philosophy, politics and the science of science
This paper is an examination of the philosophical and political legacy of John Desmond Bernal. It addresses the evidence of an emerging consensus on Bernal based on the recent biography of Bernal by Andrew Brown and the reviews it has received. It takes issue with this view of Bernal, which tends to be admiring of his scientific contribution, bemused by his sexuality, condescending to his philosophy and hostile to his politics. This article is a critical defence of his philosophical and political position
J D Bernal: philosophy, politics and the science of science
This paper is an examination of the philosophical and political legacy of John Desmond Bernal. It addresses the evidence of an emerging consensus on Bernal based on the recent biography of Bernal by Andrew Brown and the reviews it has received. It takes issue with this view of Bernal, which tends to be admiring of his scientific contribution, bemused by his sexuality, condescending to his philosophy and hostile to his politics. This article is a critical defence of his philosophical and political position
J. D. Howerton
J. D. Howertonhttps://scholarsjunction.msstate.edu/ua-photo-collection/3832/thumbnail.jp
A renormalization group study of a class of reaction-diffusion model, with particles input
We study a class of reaction-diffusion model extrapolating continuously
between the pure coagulation-diffusion case () and the pure
annihilation-diffusion one () with particles input
() at a rate . For dimension , the dynamics
strongly depends on the fluctuations while, for , the behaviour is
mean-field like. The models are mapped onto a field theory which properties are
studied in a renormalization group approach. Simple relations are found between
the time-dependent correlation functions of the different models of the class.
For the pure coagulation-diffusion model the time-dependent density is found to
be of the form , where
is the diffusion constant. The critical exponent and are
computed to all orders in , where is the dimension of the
system, while the scaling function is computed to second order in
. For the one-dimensional case an exact analytical solution is
provided which predictions are compared with the results of the renormalization
group approach for .Comment: Ten pages, using Latex and IOP macro. Two latex figures. Submitted to
Journal of Physics A. Also available at
http://mykonos.unige.ch/~rey/publi.htm
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