Jeremia 52: Oordeel en hoop

Hyper Hoop - Algebras

In this paper, by considering the notion of hyper hoop-algebras, we define the concepts of (strong) regular relations on hyper hoop-algebras and investigate some properties of them. Then we construct a quotient (hyper) hoop-algebra by a (strong)regular relation on hyper hoop-algebras. Finally, we define the notion of maximal filter and we investigate the relation between quotient simple hyper h...

Fundamental hoop-algebras

In this paper, we investigate some results on hoop algebras and hyper hoop-algebras. We construct a hoop and a hyper hoop on any countable set. Then using the notion of the fundamental relation we define the fundamental hoop and we show that any hoop is a fundamental hoop and then we construct a fundamental hoop on any non-empty countable set.

Hoop-strong nanotubes for battery electrodes.

The engineering of hollow nanostructures is a promising approach to addressing instabilities in silicon-based electrodes for lithium-ion batteries. Previous studies showed that a SiOx coating on silicon nanotubes (SiNTs) could function as a constraining layer and enhance capacity retention in electrodes with low mass loading, but we show here that similarly produced electrodes having negligible...

Coffee hour physics challenge: The Magic Hoop

A Reformulation of the Hoop Conjecture

A reformulation of the Hoop Conjecture which avoids the use of any foliations as well as ill-defined notions of “encircled mass” and “circumference of a body” is presented. The new formulation is based on the concept of trapped circle, which is well-defined, geometrically sound, and physically relevant. With the new formulation, the problems of severe compactness in every spatial direction, and...