Johnson-Lindenstrauss (JL) matrices implemented by sparse random synaptic connections are thought to be a prime candidate for how convergent pathways in the brain compress information. However, to date, there is no complete mathematical support for such implementations given the constraints of real neural tissue. The fact that neurons are either excitatory or inhibitory implies that every so im...

The connection between linear dynamically varying (LDV) systems and jump linear (JL) systems is explored. LDV systems have been used to model the error in nonlinear tracking problems. Some nonlinear systems, for example Axiom A systems, admit Markov partitions and their dynamics can be quantized as Markov chains. In this case the tracking error can be approximated by a JL system. It is shown th...

In 10], it was claimed that Nielsen coincidence numbers and Lefschetz coincidence numbers are related by the inequality N (f; g) jL(f; g)j for all maps f; g : S 1 ! S 2 between compact orientable solvmanifolds of the same dimension. It was further claimed that N (f; g) = jL(f; g)j when S 2 is a nilmanifold. A mistake in that paper has been discovered. In this paper, that mistake is partially re...

By using event-related potentials (ERPs, Experiment 2) and reaction times (RTs, Experiment 1), the present study examined interlanguage differences between Japanese and English in audiovisual speech perception [1, 2, 3, 4]. There were an auditory-only (AO) and a congruent auditory-visual (AV) conditions. In Experiment 1, RTs showed opposite tendencies between English-language (EL) and Japanese-...

We investigated the neural systems that support number processing in a patient (JL) who had damage to the left ventral occipito-temporal cortex (LvOT). JL had severely impaired written word recognition but he was remarkably accurate in number tasks, albeit slower than normal. This suggests LvOT activation is necessary for efficient but not for accurate number decisions. Here we investigated how...

Bottorff JL, Johnson JL, Moffat B, et al. Synchronizing clinician engagement and client motivation in telephone counseling. Qual Health Res 2004;14:462–77. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....

Allen-Zhu, Gelashvili, Micali, and Shavit constructed a sparse, sign-consistent Johnson Lindenstrauss distribution, and proved that this distribution yields an essentially optimal dimension for the correct choice of sparsity. However, their analysis of the upper bound on the dimension and sparsity required a complicated combinatorial graph-based argument similar to Kane and Nelson’s analysis of...

The influence of physical and sporting activities (PSA) on idiopathic scoliosis (IS) is still obscure. The aim of this study was to investigate whether such an influence exists and if so, to determine its characteristics. Two hundred and one teenagers with IS and a control group of 192 adolescents completed an epidemiological questionnaire. Those practising gymnastics were more numerous in the ...