Abstract: This article concerns the construction of a scalar valued analytic map, which we term as the navigation function, on three-manifold with boundary as a disjoint union of Hopf tori. Although ...

Note: Notice of Retraction: After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE's Publication ...

We study the Connes-Kreimer Hopf algebra of renormalization in the case of gauge theories. We show that the Ward identities and the Slavnov-Taylor identities (in the abelian and non-abelian case ...

We show how to get a non-commutative product for functions on space-time starting from the deformation of the coproduct of the Poincare' group using the Drinfel'd twist. Thus it is easy to see that ...

Carbon capture and storage (CCS) is the process of separating and storing carbon dioxide emitted during certain industrial processes Greg Daugherty has worked 25+ years as an editor and writer for ...

She grew up on the family farm in Ferdinand and helped build houses with her father. Her mother encouraged her to excel at academics, and she graduated as Valedictorian of the Forest Park class of ...

Ever since the new labour codes were notified on November 21, 2025, many salaried employees have been worried that their take-home pay would shrink. Much of the anxiety came from the rule that basic ...

And now more cities are implementing curbside composting to help them meet their sustainability goals. New York is currently rolling out a mandatory composting program that will soon be effect in ...