The volume operator plays a central role in both the kinematics and dynamics of canonical approaches to quantum gravity which are based on algebras of generalized Wilson loops. We introduce a method for simplifying its spectral analysis, for quantum states that can be realized on a cubic three-dimensional lattice. This involves a decomposition of Hilbert space into sectors transforming accordin...

The non-equivalence between the metric and Palatini formalisms of f(R) gravity is an intriguing feature of these theories. However, in the recently proposed hybrid metric-Palatini gravity, consisting of the superposition of the metric Einstein-Hilbert Lagrangian with an f(R) term constructed à la Palatini, the “true” gravitational field is described by the interpolation of these two non-equival...

abstract recent interest in teaching thinking has lead different researchers to examine different approaches in education to find effective methods and approaches for teaching thinking. through a qualitative case analysis, this study attempted to identify the effects of the infusion model of teaching thinking implemented through a dialogic approach on a phd candidate’s critical thinking skills....

We have developed a similarity-based image retrieval system that represents retrieved images as a scatter diagram in a semantic space. An axis of the space shows the suitabilities of a keyword assigned to the images. The suitabilities are estimated by a linear transformation of the image features of retrieved data, and the coefficients of the transformation are learned by a multiple regression ...

Physicists working in two-dimensional quantum gravity invented a new method of map enumeration based on computation of Gaussian integrals over the space of Hermitian matrices. This paper explains the basic facts of the method and provides an accessible introduction to the subject. Keywords-Maps, Imbedded graphs, Enumerative combinatorics, Matrix integrals, Quantum field theory, String theory.

In this study, a numerical examination of the significance of rotation and changeable gravitational field on the start of nanofluid convective movement in an anisotropic porous medium layer is shown. A model that accounts for the impact of Brownian diffusion and thermophoresis is used for nanofluid, while Darcy’s law is taken for the porous medium. The porous layer is subjected to uniform rotat...