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The vestibular system in almost all vertebrates, and in particular in humans, controls balance by employing a set of six semicircular canals, three in each inner ear, to detect angular accelerations of the head in three mutually orthogonal coordinate planes. Signals from the canals are transmitted to eight (groups of) neck motoneurons, which activate the… (More)

Mathematical studies of drug induced geometric visual hallucinations include three components: a model (or class of models) that abstracts the structure of the primary visual cortex V1; a mathematical procedure for finding geometric patterns as solutions to the cortical models; and a method for interpreting these patterns as visual hallucinations.… (More)

—In a previous article [1], the authors discussed the time-discretization of those relations modeling a class of dynamical systems with friction. The main goal of this article is to address similar problems using a more sophisticated friction model giving a better description of the system behavior when the velocities are close to zero. These investigations… (More)

In a previous article (ref. [1]) the authors discussed the application of operator-splitting methods to the time-discretization of those mathematical relations describing the behavior of elasto-dynamical systems with friction, focusing on one-degree of freedom models. The main goal of the present article is to generalize the methodology discussed in ref.… (More)

Although variability is a ubiquitous characteristic of the nervous system, under appropriate conditions neurons can generate precisely timed action potentials. Thus considerable attention has been given to the study of a neuron's output in relation to its stimulus. Frequency selectivity of mode locking exhibits in clinical studies of human cardiorespiratory… (More)

This work illustrates an application of vector spaces to data transmission theory. We show how Hamming code error detection and error correction are done through the tool of various theories in vector space. It is hoped that this article will explain the importance of abstract mathematics, such as vector space and basis, in the application of data… (More)

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