Dimensional analysis in relativity and in differential geometry

This note provides a short guide to dimensional analysis in Lorentzian and general relativity and in differential geometry. It tries to revive Dorgelo and Schouten's notion of 'intrinsic' or 'absolute' dimension of a tensorial quantity. The intrinsic dimension is independent of the dimensions of the coordinates and expresses the physical and operational meaning of a tensor. The dimensional analysis of several important tensors and tensor operations is summarized. In particular it is shown that the components of a tensor need not have all the same dimension, and that the Riemann (once contravariant and thrice covariant), Ricci (twice covariant), and Einstein (twice covariant) curvature tensors are dimensionless. The relation between dimension and operational meaning for the metric and stress-energy-momentum tensors is discussed; and the possible conventions for the dimensions of these two tensors and of Einstein's constant $\kappa$, including the curious possibility $\kappa = 8\pi G$ without $c$ factors, are reviewed.

Self-Controlled Feedback and Learner Impulsivity in Sequential Motor Learning

Many studies have attributed self-controlled feedback benefits associated with motor learning to learners' greater information processing during practice. However, individual learner characteristics like their impulsivity can also influence how people engage cognitively during learning. We investigated possible dissociations between the types of interaction in self-controlled knowledge of results (KR) and learner impulsivity levels in learning a sequential motor task. Ninety volunteers responded to the self-restraint section of the Barkley deficits in executive functioning scale, and those 60 participants with the highest ( n = 30) and lowest ( n = 30) impulsivity scores practiced a motor task involving sequential pressing of four keys in predetermined absolute and relative times. We further divided participants into four experimental groups by assigning the high- and low-impulsivity groups to two forms of KR—self-controlled absolute and yoked. Study results showed no interaction effect between impulsivity and self-controlled KR, and, contrary to expectation, self-controlled KR did not benefit learning, independently of impulsivity. However, low-impulsivity participants performed better than high-impulsivity participants on the absolute dimension of the transfer task, while high-impulsivity learners were better at the relative dimension. Cognitive characteristics of automatic and reflexive processing were expressed by the strategies used to direct attention to relative and absolute task dimensions, respectively. Low-impulsivity learners switched their attention to both dimensions at the end of practice, while high-impulsivity learners did not switch their attention or directed it only to the relative dimension at the end of the practice. These results suggest that the cognitive styles of high- and low-impulsive learners differentially favor learning distinct dimensions of a motor task, regardless of self-controlled KR.

CULTURE-CREATIVE POTENTIAL OF SACRAL EXPERIENCE: THEORETICAL AND METHODOLOGICAL ANALYSIS

The purpose of the article is to analyze the cultural potentialof sacred experience and highlight the main methodological approaches to its study. The sacred experience is explicated as an experience of correlation with the absolute dimension of being, its experienceand comprehension. The concept of "Sacred experience" defines a culturally organized space that acquires a specific form for each culture and is structured as a meaningful hierarchical world full of spiritual and symbolic meanings. The experience of the sacred isbased on direct experience of eternity and the totality of existence as a living reality. This experience is "the experience of being" the primary expression of existential guidance, global anthropological orientation. It integrates the dominant spiritual orientation in the human world and understanding of the system itself. Sacred experience based implicitly in present most important human endeavour, promotes the formation of the humanity. This experience permeates the entire story as vertical as the Earth's axis, culminating in the transcendent dimension - where a person entrusts himself to Absolute (God, being, good, eternal, etc.). We can say that any strategy or implemented anthropological model has its core generating a sacred experience. The author asserts that the experience of Holy is distinguished by ontological content and nature. It is an experience of symbolic acts of transcendence that create ontological horizon of being. At the same time, this is an experience of cultural creation and self-creation, which forms the sense foundations of human existence, reveals and confirms the human nature. Loss of sacred power and constitutive force of the sacred dimension interpreted as a manifestation of a kind of "weakening being", de-ontologization of culture, that accompanied the release of simulative and destructive potential and leads to a decrease in the intensity and quality of cultural development.

MENELUSURI KEHENDAK TUHAN MELALUI RAJUTAN BAHASA: STRUKTUR ESTETIKA BAHASA AL-QUR’AN

This paper aims to explore the significance of ‘language’ in shaping human civilization; even God chose ‘language’ as a medium of communication with His people. It is undeniable that ‘Arabic’ language is the language of theal-Qur’an. Departing from this, this paper will study the aesthetic structures of the Qur’anic language because the language contains divine, absolute dimension of culture and humanity. Using a philosophical approach, this paper will describe the significance of human language existance, while the structure of the aesthetic language of the al-Qur’an.Keywords: Bahasa, Struktur al-Qur’an, Estetika