Abstract: Among various approaches to intervals sequencing modeling and optimizations over time (traditionally numerical and logical optimization are separated fields), such as numerical optimization which advantages are to offer a quantified approach to problem solving almost without limits, but within range of specific applications, or optimization under logical constraints, we present here an original approach, which goal is to combine in a structured and easier to use way, logical and numerical constraints, into one original method, that will accumulate the benefits of both approaches to intervals sequencing problem solving, or even more, for the purpose of sequencing optimization over time, and modeling (including catastrophic events modeling). Our method also aims to support manager and systems choices in their respective search for problem solving of intervals optimization sequencing and is capable to combine an approach of numerical modeling and higher degree of expressiveness, making it easy to use.

Abstract: In conjunction with the so-called “wagon wheel effect”, based on the Shannon-Nyquist signal processing theory, which our apparatus produces and measures under specific conditions, observed with one (left, right) or two eyes, when a disk reaches a speed , at which normal brain processes perceive as a rotation speed inversion, we create complex sounds or sound variations, which can be heard from one (left, right) or two ears, which we use to test in various scenarios individual's responses (potentially illustrating aspects of brain lateralization function) to support the establishment of a normative theory and measure specific populations (aging population, individuals suffering from mental illness such as Alzheimer, possibly in their early stage of development) against this norm.

Abstract: The so-called “wagon wheel effect”, which our apparatus produces and measures under specific conditions which we have designed, appears when the visual superposition of (elements of) disks in motion, observed with one or two eyes, reaches a speed, at which normal brain processes perceive as a rotation speed inversion. We present an apparatus and a method allowing for various parameters measuring various conditions to be considered (such as rotation speed, lightning intensity, disk patterns variable in colors, in sizes, in symmetry and in their ability to reflect light—matt or glossy) to support the establishment of a normative theory and measure specific populations (aging population, individuals suffering from mental illness such as Alzheimer, possibly in their early stage of development) against this norm.