1,838 research outputs found
On the control of a linear functional- differential equation with quadratic cost
Linear functional differential equations control with quadratic cos
SDiff(2) and uniqueness of the Pleba\'{n}ski equation
The group of area preserving diffeomorphisms showed importance in the
problems of self-dual gravity and integrability theory. We discuss how
representations of this infinite-dimensional Lie group can arise in
mathematical physics from pure local considerations. Then using Lie algebra
extensions and cohomology we derive the second Pleba\'{n}ski equation and its
geometry. We do not use K\"ahler or other additional structures but obtain the
equation solely from the geometry of area preserving transformations group. We
conclude that the Pleba\'{n}ski equation is Lie remarkable
Unstimulated peripheral blood mononuclear cells from patients with the hyper-IgD syndrome produce cytokines capable of potent induction of C-reactive protein and serum amyloid A in Hep3B cells
Contains fulltext :
4837.pdf (publisher's version ) (Open Access
CONVERGENCE OF AMERICAN OPTION VALUES FROM DISCRETE- TO CONTINUOUS-TIME FINANCIAL MODELS 1
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/75553/1/j.1467-9965.1994.tb00059.x.pd
Links between traumatic brain injury and ballistic pressure waves originating in the thoracic cavity and extremities
Identifying patients at risk of traumatic brain injury (TBI) is important
because research suggests prophylactic treatments to reduce risk of long-term
sequelae. Blast pressure waves can cause TBI without penetrating wounds or
blunt force trauma. Similarly, bullet impacts distant from the brain can
produce pressure waves sufficient to cause mild to moderate TBI. The fluid
percussion model of TBI shows that pressure impulses of 15-30 psi cause mild to
moderate TBI in laboratory animals. In pigs and dogs, bullet impacts to the
thigh produce pressure waves in the brain of 18-45 psi and measurable injury to
neurons and neuroglia. Analyses of research in goats and epidemiological data
from shooting events involving humans show high correlations (r > 0.9) between
rapid incapacitation and pressure wave magnitude in the thoracic cavity. A case
study has documented epilepsy resulting from a pressure wave without the bullet
directly hitting the brain. Taken together, these results support the
hypothesis that bullet impacts distant from the brain produce pressure waves
that travel to the brain and can retain sufficient magnitude to induce brain
injury. The link to long-term sequelae could be investigated via
epidemiological studies of patients who were gunshot in the chest to determine
whether they experience elevated rates of epilepsy and other neurological
sequelae
On finite-difference approximations for normalized Bellman equations
A class of stochastic optimal control problems involving optimal stopping is
considered. Methods of Krylov are adapted to investigate the numerical
solutions of the corresponding normalized Bellman equations and to estimate the
rate of convergence of finite difference approximations for the optimal reward
functions.Comment: 36 pages, ArXiv version updated to the version accepted in Appl.
Math. Opti
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