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Articles 1 - 16 of 16
Full-Text Articles in Mathematics
Grundlagenreflexionen Zur Thematik Anthropomorpher Schnittstellen, Rudolf Kaehr
Grundlagenreflexionen Zur Thematik Anthropomorpher Schnittstellen, Rudolf Kaehr
Rudolf Kaehr
Report for the EMBASSI Project
Hopf Bifurcation In Models For Pertussis Epidemiology, Herbert W. Hethcote, Yi Li, Zhujun Jing
Hopf Bifurcation In Models For Pertussis Epidemiology, Herbert W. Hethcote, Yi Li, Zhujun Jing
Yi Li
Pertussis (whooping cough) incidence in the United States has oscillated with a period of about four years since data was first collected in 1922. An infection with pertussis confers immunity for several years, but then the immunity wanes, so that reinfection is possible. A pertussis reinfection is mild after partial loss of immunity, but the reinfection can be severe after complete loss of immunity. Three pertussis transmission models with waning of immunity are examined for periodic solutions. Equilibria and their stability are determined. Hopf bifurcation of periodic solutions around the endemic equilibrium can occur for some parameter values in two …
Generalized Averages For Solutions Of Two-Point Dirichlet Problems, Philip Korman, Yi Li
Generalized Averages For Solutions Of Two-Point Dirichlet Problems, Philip Korman, Yi Li
Yi Li
For very general two-point boundary value problems we show that any positive solution satisfies a certain integral relation. As a consequence we obtain some new uniqueness and multiplicity results.
Axiomatic Approach For Quantification Of Image Resolution, Ge Wang, Yi Li
Axiomatic Approach For Quantification Of Image Resolution, Ge Wang, Yi Li
Yi Li
Image resolution is the primary parameter for performance characterization of any imaging system. In this work, we present an axiomatic approach for quantification of image resolution, and demonstrate that a good image resolution measure should be proportional to the standard deviation of the point spread function of an imaging system.
Positive Solutions To Semilinear Problems With Coefficient That Changes Sign, Nguyen Phuong Cac, Juan A. Gatica, Yi Li
Positive Solutions To Semilinear Problems With Coefficient That Changes Sign, Nguyen Phuong Cac, Juan A. Gatica, Yi Li
Yi Li
No abstract provided.
Path Decompositions Of A Brownian Bridge Related To The Ratio Of Its Maximum And Amplitude, Jim Pitman, Marc Yor
Path Decompositions Of A Brownian Bridge Related To The Ratio Of Its Maximum And Amplitude, Jim Pitman, Marc Yor
Jim Pitman
We give two new proofs of Csaki's formula for the law of the ratio 1-Q of the maximum relative to the amplitude (i.e. the maximum minus minimum) for a standard Brownian bridge. The second of these proofs is based on an absolute continuity relation between the law of the Brownian bridge restricted to the event (Q < v) and the law of a process obtained by a Brownian scaling operation after back-to back joining of two independent three-dimensional Bessel processes, each started at v and run until it first hits 1. Variants of this construction and some properties of the joint law of Q and the amplitude are described.
Intersection Homology Of Toric Varieties And A Conjecture Of Kalai, Tom Braden, D. Macpherson
Intersection Homology Of Toric Varieties And A Conjecture Of Kalai, Tom Braden, D. Macpherson
Tom Braden
No abstract provided.
Sensory And Motor Interdependence In Postural Adjustments, Gin Mccollum
Sensory And Motor Interdependence In Postural Adjustments, Gin Mccollum
Gin McCollum
The sensory reafference from a movement depends upon the movement, and the movement chosen depends upon the available senses, as demonstrated by vestibular patients who abandon certain movements. Often, one variable is assumed to be dependent whereas the other is independent; however, sensory and motor dynamics in posture are interdependent as conditions upon each other. This paper applies conditional dynamics to characterize the global structure of interdependence between sensory states and motor strategies in fast postural adjustments. The mathematical formalism incorporates rich but disparate experimental, clinical, and theoretical results about sensory and motor control of posture.
The control structures presented …
Finding And Characterizing Unstable Fixed Points By Controlling System Dynamics, Daniel Kaplan
Finding And Characterizing Unstable Fixed Points By Controlling System Dynamics, Daniel Kaplan
Daniel T. Kaplan
No abstract provided.
Mathematica In Action, Stan Wagon
Optimization Methods For Logical Inference, Vijay Chandru, John Hooker
Optimization Methods For Logical Inference, Vijay Chandru, John Hooker
John Hooker
No abstract provided.
Alternative Polynomial And Holomorphic Dunford-Pettis Properties, Walden Freedman
Alternative Polynomial And Holomorphic Dunford-Pettis Properties, Walden Freedman
Walden Freedman
Conditional Convergence Of Infinite Products, William F. Trench
Conditional Convergence Of Infinite Products, William F. Trench
William F. Trench
No abstract provided.
Linear Asymptotic Equilibrium For Nilpotent Systems Of Difference Equations, William F. Trench
Linear Asymptotic Equilibrium For Nilpotent Systems Of Difference Equations, William F. Trench
William F. Trench
No abstract provided.
Invertibly Convergent Infinite Products Of Matrices, William F. Trench
Invertibly Convergent Infinite Products Of Matrices, William F. Trench
William F. Trench
No abstract provided.
On The Laws Of Homogeneous Functionals Of The Brownian Bridge, Philippe Carmona, Frédérique Petit, Jim Pitman, Marc Yor
On The Laws Of Homogeneous Functionals Of The Brownian Bridge, Philippe Carmona, Frédérique Petit, Jim Pitman, Marc Yor
Jim Pitman
No abstract provided.