A geometric interpretation of Ranicki duality

A Cosmological Interpretation of Duality

We study the cosmological meaning of duality symmetry by considering a two dimensional model of string cosmology. We find that as seen by an internal observer in this universe, the scale factor rebounds at the self-dual length. This rebound is a consequence of the adiabatic expansion. Furthermore, in this situation there are four mathematically different scenarios which describe physically equi...

investigating the feasibility of a proposed model for geometric design of deployable arch structures

deployable scissor type structures are composed of the so-called scissor-like elements (sles), which are connected to each other at an intermediate point through a pivotal connection and allow them to be folded into a compact bundle for storage or transport. several sles are connected to each other in order to form units with regular polygonal plan views. the sides and radii of the polygons are...

Geometric interpretation of a correlation

The study shows that the Pearson’s coefficient of correlation is equivalent to the cosine of the angle between random variables. It was found that the information about the intensity of the relationship between variables is included in the value of the angle between random vectors. The paper proposes intuitive criteria for measuring the intensity of the relationship between random variables.

A Geometric Lemma and Duality of EntropyNumbersV

Killing Tensors and a New Geometric Duality

We present a theorem describing a dual relation between the local geometry of a space admitting a symmetric second-rank Killing tensor, and the local geometry of a space with a metric specified by this Killing tensor. The relation can be generalized to spinning spaces, but only at the expense of introducing torsion. This introduces new supersymmetries in their geometry. Interesting examples in ...