Browsing Mathematics by Title
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Cluster observations of the midaltitude cusp under strong northward Interplanetary magnetic field
(American Geophysical Union (AGU), 2008)We report on a multispacecraft cusp observation lasting more than 100 min. We determine the cusp boundary motion and reveal the effect on the cusp size of the interplanetary magnetic field (IMF) changing from southward to ... 
Collective learning and optimal consensus decisions in social animal groups.
(Public Library of Science, 20140807)Learning has been studied extensively in the context of isolated individuals. However, many organisms are social and consequently make decisions both individually and as part of a collective. Reaching consensus necessarily ... 
Comparing the degree of land–atmosphere interaction in four atmospheric general circulation models
(American Meteorological Society, 2002)The strength of the coupling between the land and the atmosphere, which controls, for example, the degree to which precipitationinduced soil moisture anomalies affect the overlying atmosphere and thereby the subsequent ... 
Comparing the effects of calibration and climate errors on a statistical crop model and a processbased crop model
(Springer Verlag (Germany), 20141015)Understanding the relationship between climate and crop productivity is a key component of projections of future food production, and hence assessments of food security. Climate models and crop yield datasets have errors, ... 
Comparison between overconvergent de RhamWitt and crystalline cohomology for projective and smooth varieties
(WileyVCH Verlag, 20150427)We prove that for a projective and smooth variety the hypercohomology of the overconvergent de RhamWitt complex is canonically isomorphic to crystalline cohomology 
A comparison of logarithmic overconvergent de RhamWitt and logcrystalline cohomology for projective smooth varieties with normal crossing divisor
(Seminario Matematico della Università di Padova, 2016)no abstract available 
Comparison of the Bayesian and Randomised Decision Tree Ensembles within an Uncertainty Envelope Technique
(Springer, 2006)Multiple Classifier Systems (MCSs) allow evaluation of the uncertainty of classification outcomes that is of crucial importance for safety critical applications. The uncertainty of classification is determined by a tradeoff ... 
Computation of the drift velocity of spiral waves using response functions
(American Physical Society, 2010)Rotating spiral waves are a form of selforganization observed in spatially extended systems of physical, chemical, and biological nature. In the presence of a small perturbation, the spiral wave's center of rotation and ... 
Computation of the response functions of spiral waves in active media
(American Physical Society, 2009)Rotating spiral waves are a form of selforganization observed in spatially extended systems of physical, chemical, and biological natures. A small perturbation causes gradual change in spatial location of spiral's rotation ... 
A computational investigation of the finitetime blowup of the 3D incompressible Euler equations based on the Voigt regularization
(American Physical Society, 201512)We report the results of a computational investigation of two recently proved blowup criteria for the 3D incompressible Euler equations. These criteria are based on an inviscid regularization of the Euler equations known ... 
A computational study of stimulus driven epileptic seizure abatement
(Public Library of Science, 20141222)Active brain stimulation to abate epileptic seizures has shown mixed success. In spikewave (SW) seizures, where the seizure and background state were proposed to coexist, singlepulse stimulations have been suggested to ... 
A Computer Simulation Study of Anatomy Induced Drift of Spiral Waves in the Human Atrium
(Hindawi Publishing Corporation, 2014)The interaction of spiral waves of excitation with atrial anatomy remains unclear. This simulation study isolates the role of atrial anatomical structures on spiral wave spontaneous drift in the human atrium. We implemented ... 
Conditions for propagation and block of excitation in an asymptotic model of atrial tissue.
(2006)Detailed ionic models of cardiac cells are difficult for numerical simulations because they consist of a large number of equations and contain small parameters. The presence of small parameters, however, may be used for ... 
Conditions for sinktosource transitions and runaway feedbacks from the land carbon cycle
(Cambridge University Press, 200602)The first GCM climatecarbon cycle simulation indicated that the land biosphere could provide a significant acceleration of 21st century climate change (Cox et al. 2000). In this numerical experiment the carbon storage was ... 
Cone exchange transformations and boundedness of orbits
(Cambridge University Press, 2010)We introduce a class of twodimensional piecewise isometries on the plane that we refer to as cone exchange transformations (CETs). These are generalizations of interval exchange transformations (IETs) to 2D unbounded ... 
Confidence in Classification: A Bayesian Approach
(Springer Verlag, 2006)Bayesian classification is currently of considerable interest. It provides a strategy for eliminating the uncertainty associated with a particular choice of classifiermodel parameters, and is the optimal decisiontheoretic ... 
Confident interpretation of Bayesian decision tree ensembles for clinical applications
(Institute of Electrical and Electronics Engineers (IEEE), 2007)Bayesian averaging (BA) over ensembles of decision models allows evaluation of the uncertainty of decisions that is of crucial importance for safetycritical applications such as medical diagnostics. The interpretability ... 
A conjecture of Stanley on alternating permutations
(Electronic Journal of Combinatorics, 2007)We give two simple proofs of a conjecture of Richard Stanley concerning the equidistribution of derangements and alternating permutations with the maximal number of fixed points. 
Contextdependent interaction leads to emergent search behavior in social aggregates
(National Academy of Sciences, 2009)Locating the source of an advected chemical signal is a common challenge facing many living organisms. When the advecting medium is characterized by either high Reynolds number or high Peclet number, the task becomes highly ... 
Continuationbased numerical detection of afterdepolarization and spikeadding thresholds.
(Massachusetts Institute of Technology Press (MIT Press), 20130311)The changes in neuronal firing pattern are signatures of brain function, and it is of interest to understand how such changes evolve as a function of neuronal biophysical properties. We address this important problem by ...