We perform the non-linear realisation or the coset formulation of the pure N = 4, D = 5 supergravity. We derive the Lie superalgebra which parameterizes a coset map whose induced Cartan-Maurer form produces the bosonic field equations of the pure N = 4, D = 5 supergravity by canonically satisfying the Cartan-Maurer equation. We also obtain the first-order field equations of the theory as a twis...

We consider triples of matrices (E,A, B), representing singular linear time invariant systems in the form Eẋ(t) = Ax(t) + Bu(t), with E, A ∈ Mp×n(C) and B ∈ Mn×m(C), under proportional and derivative feedback. Using geometrical techniques we obtain miniversal deformations that permit us to study sensivity and structural stability of singular systems. Key-Words:Singular linear systems, proportio...

With the goal of making exclusive-OR formulations of switching functions more readily available to designers for implementation in L S I and VLSI technologies, we introduce the concept of an exclusive-OR space in which an exclusive-OR normal form is deJined to correspond to the conventional disjunctive normal form. A geometrical representation of exclusive-OR space is described, and its variou...

The tolerancing process links the virtual and the real worlds. From the former, tolerances define a variational geometrical language (geometric parameters). From the latter, there are values limiting those parameters. The beginning of a tolerancing process is in this duality. As high precisions assemblies cannot be analyzed with the assumption that form errors are negligible, we propose to appl...

Fabrics are typical porous material and can be treated as mixtures of fibers and air. There is no clearly defined boundary and is different from a classical continuum for fabrics. It is complex to proceed with the theoretical analysis of fabric behavior. There are two main reasons (Hearle et al., 1969) for developing the geometrical structures of fabrics. One is to be able to calculate the resi...

© 2006 American Institute of Physics, S-0031-9228-0602-010-2 T ancient Greeks were aware of the phenomenon of magnetic order in lodestone, a type of rock containing the ferromagnet magnetite Fe3O4. Magnetic moments in a ferromagnet tend to align and thereby sum to an easily observed macroscopic magnetic moment. The absence of such a moment even in ordered antiferromagnets is the reason their di...

This paper proposes rigorous geometrical treatment of bioelectrodynamics, underpinning two fast–growing biomedical research fields: bioelectromagnetism, which deals with the ability of life to produce its own electromagnetism, and bioelectromagnetics, which deals with the effect on life from external electromagnetism.

The resonant frequency and sensitivity of an atomic force microscope (AFM) cantilever with assembled cantilever probe (ACP) have been analyzed and a closed-form expression for the sensitivity of vibration modes has been obtained. The proposed ACP comprises an inclined cantilever and extension, and a tip located at the free end of the extension, which makes the AFM capable of topography at sidew...

This is a working paper, describing work that the two of us have done over the course of 2016 and the beginning of 2017, developing in some detail an analysis of some aspects of inflectional morphology. In most respects this work continues the development of work in this area over the past fifty or more years, but in one or two important ways our approach is different. We believe that a geometr...

The resonant frequency and sensitivity of an atomic force microscope (AFM) cantilever with assembled cantilever probe (ACP) have been analyzed and a closed-form expression for the sensitivity of vibration modes has been obtained. The proposed ACP comprises an inclined cantilever and extension, and a tip located at the free end of the extension, which makes the AFM capable of topography at sidew...