Is pain measurable?

Emotion -is It Measurable ?

In this work a texture paradigm is introduced as a means for modeling certain types of music organization. This approach allows quantitatively to assess diierences between musical materials which are not captured by musical \rules" or schemes. In the context of emotion it is assumed that relations exist between deviations from a given, existing 'normative' musical organisation and expressive in...

When is the ring of real measurable functions a hereditary ring?

‎Let $M(X‎, ‎mathcal{A}‎, ‎mu)$ be the ring of real-valued measurable functions‎ ‎on a measure space $(X‎, ‎mathcal{A}‎, ‎mu)$‎. ‎In this paper‎, ‎we characterize the maximal ideals in the rings of real measurable functions‎ ‎and as a consequence‎, ‎we determine when $M(X‎, ‎mathcal{A}‎, ‎mu)$ is a hereditary ring.

Measurable Utility and the Measurable Choice Theorem

Measurable Transformations

Measurable Sensitivity

We introduce the notions of measurable and strong measurable sensitivity, which are measure-theoretic versions of the conditions of sensitive dependence on initial conditions and strong sensitive dependence on initial conditions, respectively. Strong measurable sensitivity is a consequence of light mixing, implies that a transformation has only finitely many eigenvalues, and does not exist in t...