Results 91 to 100 of about 115,417 (208)
Time as a geometric property of space
The proper description of time remains a key unsolved problem in science. Newton conceived of time as absolute and universal which it `flows equably without relation to anything external'}.
James Michael Chappell +4 more
doaj +1 more source
Equivariant toric geometry and Euler–Maclaurin formulae
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell +3 more
wiley +1 more source
An approach to energy and elastic for curves with extended Darboux frame in Minkowski space
In this paper, we construct the energy for the ED-frame field of the first and second kind on an orientable hypersurface in Minkowski space. We obtain the geometric properties of some graphics by way of energy.
Talat Körpinar, Yasin Ünlütürk
doaj +1 more source
Phenomenal knowledge and phenomenal causality
Abstract There has been extensive debate over whether we can have phenomenal knowledge in the case of epiphenomenalism. This article aims to bring that debate to a close. I first develop a refined causal account of knowledge—one that is modest enough to avoid various putative problems, yet sufficiently robust to undermine the epiphenomenalist position.
Lei Zhong
wiley +1 more source
Conformal invariants of Minkowski space [PDF]
The conformal invariant defined for compact Riemannian manifolds by Yamabe is generalized to pseudo-Riemannian manifolds and is shown to be nontrivial for Minkowski space. We also make some elementary remarks about generalizations of Yamabe’s equation to sections of vector bundles, as have been studied by physicists concerned with Goldstone bosons and ...
openaire +2 more sources
Dimer models and conformal structures
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
wiley +1 more source
On the new approach for the energy of elastica
In this work, we firstly describe conditions for being elastica in Minkowski space E41. Then we investigate the energy of the elastic curves and exploit its relationship with the energy of Bishop vectors belong to that elastic curves E41.
Talat Körpınar, Rıdvan Cem Demirkol
doaj +1 more source
ABSTRACT The focus on wind power frequency regulation has largely been on individual wind farms, which presents challenges in meeting the coordinated operation needs of multiple stations within large‐scale installations. To address issues of model simplification and accuracy, we propose a large‐scale wind farm equivalent modeling method based on ...
Hongchun Shu +4 more
wiley +1 more source
Stability of reverse isoperimetric inequalities in the plane: Area, Cheeger, and inradius
Abstract In this paper, we present stability results for various reverse isoperimetric problems in R2$\mathbb {R}^2$. Specifically, we prove the stability of the reverse isoperimetric inequality for λ$\lambda$‐convex bodies — convex bodies with the property that each of their boundary points p$p$ supports a ball of radius 1/λ$1/\lambda$ so that the ...
Kostiantyn Drach, Kateryna Tatarko
wiley +1 more source
Electromagnetic waves along pseudo null curves in Minkowski space. [PDF]
Erdoğdu M.
europepmc +1 more source

