We call those gestures “instrumental” that can enhance certain thinking processes of an agent by offering him representational models of his actions in a virtual space of imaginary performative possibilities. We argue that pointing is an instrumental gesture in that it represents geometrical information on one’s own gaze direction (i.e., a spatial model for attentional/ocular fixation/orientati...

Adolescent egocentrism can be divided into two separate forms: the imaginary audience and the personal fable. The first relates to the adolescent living life believing he is constantly being watched and judged by others, and that others are as concerned with his appearance and behaviour as he himself is.[1] The personal fable results in the adolescent perceiving himself as special and unique, b...

Diorama artists produce a spectacular 3D effect in a confined space by generating depth illusions that are faithful to the ordering of the objects in a large real or imaginary scene. Indeed, cognitive scientists have discovered that depth perception is mostly affected by depth order and precedence among objects. Motivated by these findings, we employ ordinal cues to construct a model from a sin...

In the paper, we prove discrete universality theorem in sense of weak convergence probability measures space analytic functions for L-functions elliptic curves. We consider an approximation by translations LE (s+imh) , where h > 0 is a fixed number, imaginary part complex variable take values from some set such as arithmetical progression. suppose that number chosen so exp{2πk/h } rational n...

The present study assessed the degree to which probabilistic reasoning performance and thinking style influenced perception of risk and self-reported levels of terrorism-related behavior change. A sample of 263 respondents, recruited via convenience sampling, completed a series of measures comprising probabilistic reasoning tasks (perception of randomness, base rate, probability, and conjunctio...

We introduce a facial deformation system that allows artists to define and customize a facial rig and later apply the same rig to different face models. The method uses a set of landmarks that define specific facial features and deforms the rig anthropometrically. We find the correspondence of the main attributes of a source rig, transfer them to different three-demensional (3D) face models and...

Modern economics proceeds under the assumption that, when informed by objective probabilities, economic agents (households, firms, policy-makers) tend to make rational, objective predictions of random variables like income, usually via the mean value prediction rule. Mean value is revered by econometricians, due to its centuries-old status as “mathematical expectation”. But as a description of ...

The axiom of choice, a benign matter for the non-logician, puzzles mathematicians. Today, it manifests itself in a strange way: it takes, depending on the axiom’s variants, either two or infinity of colors to resolve a coloring problem. Just as the parallels postulate seemed obvious, the axiom of choice has often been considered true and beyond discussion. The inventor of set theory, Georg Cant...