A matrix $Pintextmd{C}^{ntimes n}$ is called a generalized reflection matrix if $P^{H}=P$ and $P^{2}=I$‎. ‎An $ntimes n$‎ ‎complex matrix $A$ is said to be a reflexive (anti-reflexive) matrix with respect to the generalized reflection matrix $P$ if $A=PAP$ ($A=-PAP$)‎. ‎In this paper‎, ‎we introduce two iterative methods for solving the pair of matrix equations $AXB=C$ and $DXE=F$ over reflexiv...

We prove that the notions of finite strict singularity, strict singularity and weak compactness coincide for operators defined on various spaces: the disc algebra, subspaces of C(K) with reflexive annihilator and subspaces of the Morse-TransueOrlicz space Mq (Ω, μ) with q > 2.

We introduce reflexive polytopes of index l as a natural generalisation of the notion of a reflexive polytope of index 1. These l-reflexive polytopes also appear as dual pairs. In dimension two we show that they arise from reflexive polygons via a change of the underlying lattice. This allows us to efficiently classify all isomorphism classes of l-reflexive polygons up to index 200. As another ...

The paper briefly reviews the contribution of recent neuroscience findings to our understanding of our human nature – more exactly, to the understanding of the three properties that we conceive of as highly-specifically human: consciousness, freedom, and language. The analysis yields rather surprising results. Self-consciousness is possibly not the highpoint of our sophisticated cognitive funct...

We offer Cultural Computing as a method for cultural translation that uses scientific methods to represent the essential aspects of culture. Including images that heretofore have not been the focus of computing, such as images of Eastern thought and Buddhism, and the Sansui paintings, poetry and kimono that evoke these images, we projected the style of communication developed by Zen schools ove...

The Japanese have frequently been characterized as ‘collectivistic’ and ‘group-oriented’. This common view is based on the group model of Japanese society, which claims that the Japanese self is relational, fluid, and assimilated into one’s in-group as a collective deictic center. Reviewing several major works that cover Japanese society and its language, the present article argues that the col...

Although the literature has focused on individual differences in authenticity, recent findings suggest that authenticity is sensitive to context; that is, it is also a state. We extended this perspective by examining whether incidental affect influences authenticity. In three experiments, participants felt more authentic when in a relatively positive than negative mood. The causal role of affec...

Identity, personality and self-consciousness are often seen in cognitive science as almost the same cognitive capacity. In this paper we will justify an alternative and in many ways opposite opinion: that identity, at least in its most basic way, is a non-exclusive protocultural factor that requires cognitive capacities that are linked to social competence and to organism cooperation, and that ...

events. The verbal record shows the subject's control and ?rganisation of ideas at the time of the test, and the drawing shows *he control and organisation of conative activity. By carrying out operations simultaneously, the subject's attention is divided, so that self-consciousness is less keenly felt and spontaneous co-operation ^ore easily secured. The procedure has proved less effective for...

Tulving (1985) posited that the capacity to remember is one facet of a more general capacity-autonoetic (self-knowing) consciousness. Autonoetic consciousness was proposed to underlie the ability for "mental time travel" both into the past (remembering) and into the future to envision potential future episodes (episodic future thinking). The current study examines whether individual differences...