On the Fiber Cones of Good Filtrations

A Geometric Perspective on Sparse Filtrations

Nerve complexes are discrete structures used for computing topological information about a continuous space, but they often suffer from exponential blowup in size. Sparsifying these complexes allows one to retain most topological information while maintaining a significantly smaller complex. We present a geometric perspective on sparse filtrations, viewing them as a nerve of geometric cones, ra...

The Effect of Pine Cones Aqueous Extract on Renal Function in Male Rats

Background:Antioxidant effects of cypress cones extract have been previously demonstrated. In this study, the protective effect of cypress cones extract was investigated. Gentamicin, an aminoglycoside antibiotic administrated for the treatment of gram-negative bacteria infections, was used for nephrotoxicity induction. Methods: In this study, 60 wistar male ra...

Filtrations of smooth principal series and Iwasawa modules

Let $G$ be a reductive $p$-adic group‎. ‎We consider the general question‎ ‎of whether the reducibility of an induced representation can be detected in a‎ ‎``co-rank one‎" ‎situation‎. ‎For smooth complex representations induced from supercuspidal‎ ‎representations‎, ‎we show that a sufficient condition is the existence of a subquotient‎ ‎that does not appear as a subrepresentation‎. ‎An import...

INFLUENCE OF FIBER ASPECT RATIO ON SHEAR CAPACITY OF DEEP BEAMS USING ARTIFICIAL NEURAL NETWORK TECHNIQUE

This paper deals with the effect of fiber aspect ratio of steel fibers on shear strength of steel fiber reinforced concrete deep beams loaded with shear span to depth ratio less than two using the artificial neural network technique. The network model predicts reasonably good results when compared with the equation proposed by previous researchers. The parametric study invol...

Some Results on Boundedness in Locally Convex Cones