We introduce a mathematical model of embodied consciousness, the Projective Consciousness
Model (PCM), which is based on the hypothesis that the spatial field of consciousness (…

We present and study a homographic best approximation problem, which arises in the
analysis of waveform relaxation algorithms with optimized transmission conditions. Its solution …

Human movements show several prominent features; movement duration is nearly
independent of movement size (the isochrony principle), instantaneous speed depends on …

We summarize our recently introduced Projective Consciousness Model (PCM) ( Rudrauf et
al., 2017 ) and relate it to outstanding conceptual issues in the theory of consciousness. The …

… Thus each object in the category D S of modules over a ringed site S possesses a canonical
injective resolution I * (N); then the group E x t D n ( M , N ) can be defined as the homology …

The semicircular duct system is part of the sensory organ of balance and essential for navigation
and spatial awareness in vertebrates. Its function in detecting head rotations has been …

… 3d), but this assumption is not examined in the present work and will be analyzed in a future
paper. In our study, we examined whether this gaze pattern reflects the anticipation of the …

This paper presents methods that quantify the structure of statistical interactions within a
given data set, and were applied in a previous article. It establishes new results on the k-…

… Nous proposons une nouvelle méthode d’analyse des canaux semi-circulaires, basée sur
… du système des canaux semi-circulaires et d’en déduire sa capacité à détecter des rotations …

… We have d Θ d θ = λ ρ μ υ λ 2 ρ 2 s i n θ 2 + μ 2 υ 2 c o s θ 2 , d Φ d φ = μ υ μ 2 s i n φ 2 +
υ 2 c o s φ 2 , and s i n Θ = λ ρ s i n θ λ 2 ρ 2 s i n θ 2 + μ 2 υ 2 c o s θ 2 . Therefore: …